From 5534f8f3acde8fa556c41eabec123da8e37e2dbd Mon Sep 17 00:00:00 2001 From: Abhist17 Date: Tue, 13 Oct 2026 19:25:23 +0530 Subject: [PATCH] fix: evaluate large arguments accurately in `math/base/special/fresnel`, `fresnelc` and `fresnels` MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Above `x = 36974` the functions returned exactly `0.5`, the Cephes cut-off, although the oscillating terms are of size `1/(πx)` (`3e-6` at `x = 1e5`). Below it, `sincos( π x^2 / 2 )` was evaluated on the rounded `x*x`, whose error the large argument turns into whole radians (81920 ULPs on the medium fixtures). Reduce `x^2` modulo 4 exactly, with a Veltkamp split so that each partial product is exact, and keep the asymptotic branch up to `x = 1e16`, where `1/(πx)` is below half an ulp of `0.5`. The fixtures came from Cephes itself and pinned both effects at 0 ULPs. They are replaced by a Julia runner evaluating the Fresnel integrals in BigFloat (power series below 10, the asymptotic expansions of `f` and `g` above); the medium, large and huge sets now pass at 0 ULPs, and the huge set extends to `1e15`. Signed-off-by: Abhist17 --- .../math/base/special/fresnel/lib/assign.js | 15 +- .../math/base/special/fresnel/manifest.json | 3 + .../math/base/special/fresnel/src/main.c | 15 +- .../fresnel/test/fixtures/c/cephes/Makefile | 123 ----------- .../fresnel/test/fixtures/c/cephes/huge.json | 1 - .../fresnel/test/fixtures/c/cephes/large.json | 1 - .../test/fixtures/c/cephes/medium.json | 1 - .../fresnel/test/fixtures/c/cephes/runner.c | 196 ------------------ .../fresnel/test/fixtures/c/cephes/small.json | 1 - .../fresnel/test/fixtures/julia/REQUIRE | 2 + .../fresnel/test/fixtures/julia/huge.json | 1 + .../fresnel/test/fixtures/julia/large.json | 1 + .../fresnel/test/fixtures/julia/medium.json | 1 + .../fresnel/test/fixtures/julia/runner.jl | 139 +++++++++++++ .../fresnel/test/fixtures/julia/small.json | 1 + .../base/special/fresnel/test/test.assign.js | 12 +- .../base/special/fresnel/test/test.main.js | 12 +- .../base/special/fresnel/test/test.native.js | 12 +- .../math/base/special/fresnelc/lib/main.js | 15 +- .../math/base/special/fresnelc/manifest.json | 3 + .../math/base/special/fresnelc/src/main.c | 15 +- .../fresnelc/test/fixtures/c/cephes/Makefile | 123 ----------- .../fresnelc/test/fixtures/c/cephes/huge.json | 1 - .../test/fixtures/c/cephes/large.json | 1 - .../test/fixtures/c/cephes/medium.json | 1 - .../fresnelc/test/fixtures/c/cephes/runner.c | 187 ----------------- .../test/fixtures/c/cephes/small.json | 1 - .../fresnelc/test/fixtures/julia/REQUIRE | 2 + .../fresnelc/test/fixtures/julia/huge.json | 1 + .../fresnelc/test/fixtures/julia/large.json | 1 + .../fresnelc/test/fixtures/julia/medium.json | 1 + .../fresnelc/test/fixtures/julia/runner.jl | 139 +++++++++++++ .../fresnelc/test/fixtures/julia/small.json | 1 + .../math/base/special/fresnelc/test/test.js | 10 +- .../base/special/fresnelc/test/test.native.js | 10 +- .../math/base/special/fresnels/lib/main.js | 15 +- .../math/base/special/fresnels/manifest.json | 3 + .../math/base/special/fresnels/src/main.c | 15 +- .../fresnels/test/fixtures/c/cephes/Makefile | 123 ----------- .../fresnels/test/fixtures/c/cephes/huge.json | 1 - .../test/fixtures/c/cephes/large.json | 1 - .../test/fixtures/c/cephes/medium.json | 1 - .../fresnels/test/fixtures/c/cephes/runner.c | 187 ----------------- .../test/fixtures/c/cephes/small.json | 1 - .../fresnels/test/fixtures/julia/REQUIRE | 2 + .../fresnels/test/fixtures/julia/huge.json | 1 + .../fresnels/test/fixtures/julia/large.json | 1 + .../fresnels/test/fixtures/julia/medium.json | 1 + .../fresnels/test/fixtures/julia/runner.jl | 139 +++++++++++++ .../fresnels/test/fixtures/julia/small.json | 1 + .../math/base/special/fresnels/test/test.js | 16 +- .../base/special/fresnels/test/test.native.js | 16 +- 52 files changed, 560 insertions(+), 1013 deletions(-) delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/Makefile delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/huge.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/large.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/medium.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/runner.c delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/small.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/huge.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/large.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/medium.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/small.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/Makefile delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/huge.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/large.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/medium.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/runner.c delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/small.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/huge.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/large.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/medium.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/small.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/Makefile delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/huge.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/large.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/medium.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/runner.c delete mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/small.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/huge.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/large.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/medium.json create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/small.json diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/lib/assign.js b/lib/node_modules/@stdlib/math/base/special/fresnel/lib/assign.js index a2d6a4db974b..9a7615001482 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/lib/assign.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/lib/assign.js @@ -36,6 +36,7 @@ var sincos = require( '@stdlib/math/base/special/sincos' ).assign; var abs = require( '@stdlib/math/base/special/abs' ); +var fmod = require( '@stdlib/math/base/special/fmod' ); var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); var PI = require( '@stdlib/constants/float64/pi' ); var polyS = require( './rational_psqs.js' ); @@ -113,6 +114,8 @@ var sc = [ 0.0, 0.0 ]; */ function fresnel( x, out, stride, offset ) { var x2; + var hi; + var lo; var xa; var f; var g; @@ -125,7 +128,8 @@ function fresnel( x, out, stride, offset ) { t = x2 * x2; out[ offset ] = xa * x2 * polyS( t ); out[ offset+stride ] = xa * polyC( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: out[ offset+stride ] = 0.5; out[ offset ] = 0.5; } else { @@ -136,8 +140,13 @@ function fresnel( x, out, stride, offset ) { t = 1.0 / t; f = 1.0 - ( u * polyF( u ) ); g = t * polyG( u ); - t = HALF_PI * x2; - sincos( t, sc, 1, 0 ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = fmod( hi*hi, 4.0 ) + fmod( 2.0*hi*lo, 4.0 ) + ( lo*lo ); + sincos( HALF_PI * t, sc, 1, 0 ); t = PI * xa; out[ offset+stride ] = 0.5 + ( ( (f*sc[0]) - (g*sc[1]) ) / t ); out[ offset ] = 0.5 - ( ( (f*sc[1]) + (g*sc[0]) ) / t ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/manifest.json b/lib/node_modules/@stdlib/math/base/special/fresnel/manifest.json index 72d03e6f6dcd..cd05687d567e 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/manifest.json @@ -41,6 +41,7 @@ "@stdlib/napi/argv-float64array", "@stdlib/napi/export", "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -58,6 +59,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -75,6 +77,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/src/main.c b/lib/node_modules/@stdlib/math/base/special/fresnel/src/main.c index 19cd0dd5689d..57274edfd5fc 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/src/main.c @@ -33,6 +33,7 @@ #include "stdlib/math/base/special/fresnel.h" #include "stdlib/math/base/special/sincos.h" #include "stdlib/math/base/special/abs.h" +#include "stdlib/math/base/special/fmod.h" #include "stdlib/constants/float64/half_pi.h" #include "stdlib/constants/float64/pi.h" @@ -249,6 +250,8 @@ static double rational_pgqg( const double x ) { */ void stdlib_base_fresnel( const double x, double* S, double* C ) { double x2; + double hi; + double lo; double xa; double f; double g; @@ -263,7 +266,8 @@ void stdlib_base_fresnel( const double x, double* S, double* C ) { t = x2 * x2; *S = xa * x2 * rational_psqs( t ); *C = xa * rational_pcqc( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: *C = 0.5; *S = 0.5; } else { @@ -274,8 +278,13 @@ void stdlib_base_fresnel( const double x, double* S, double* C ) { t = 1.0 / t; f = 1.0 - ( u * rational_pfqf( u ) ); g = t * rational_pgqg( u ); - t = STDLIB_CONSTANT_FLOAT64_HALF_PI * x2; - stdlib_base_sincos( t, &s, &c ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = stdlib_base_fmod( hi * hi, 4.0 ) + stdlib_base_fmod( 2.0 * hi * lo, 4.0 ) + ( lo * lo ); + stdlib_base_sincos( STDLIB_CONSTANT_FLOAT64_HALF_PI * t, &s, &c ); t = STDLIB_CONSTANT_FLOAT64_PI * xa; *C = 0.5 + ( ( ( f * s ) - ( g * c ) ) / t ); *S = 0.5 - ( ( ( f * c ) + ( g * s ) ) / t ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/Makefile deleted file mode 100644 index 251fb942f599..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/Makefile +++ /dev/null @@ -1,123 +0,0 @@ -#/ -# @license Apache-2.0 -# -# Copyright (c) 2018 The Stdlib Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. -#/ - - -# VARIABLES # - -ifndef VERBOSE - QUIET := @ -endif - -# Specify the path to Cephes: -CEPHES ?= - -# Specify a list of Cephes source files: -CEPHES_SRC ?= - -# Determine the OS: -# -# [1]: https://en.wikipedia.org/wiki/Uname#Examples -# [2]: http://stackoverflow.com/a/27776822/2225624 -OS ?= $(shell uname) -ifneq (, $(findstring MINGW,$(OS))) - OS := WINNT -else -ifneq (, $(findstring MSYS,$(OS))) - OS := WINNT -else -ifneq (, $(findstring CYGWIN,$(OS))) - OS := WINNT -endif -endif -endif - -# Define the program used for compiling C source files: -ifdef C_COMPILER - CC := $(C_COMPILER) -else - CC := gcc -endif - -# Define the command-line options when compiling C files: -CFLAGS ?= \ - -std=c99 \ - -O3 \ - -Wall \ - -pedantic - -# Determine whether to generate [position independent code][1]: -# -# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options -# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option -ifeq ($(OS), WINNT) - fPIC ?= -else - fPIC ?= -fPIC -endif - -# List of C targets: -c_targets := runner.out - - -# TARGETS # - -# Default target. -# -# This target is the default target. - -all: $(c_targets) - -.PHONY: all - - -# Compile C source. -# -# This target compiles C source files. - -$(c_targets): %.out: %.c - $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $(CEPHES_SRC) $< -lm - - -# Generate test fixtures. -# -# This target generates test fixtures. - -run: $(c_targets) - $(QUIET) ./$< - -.PHONY: run - - -# Perform clean-up. -# -# This target removes generated files. - -clean: - $(QUIET) -rm -f *.o *.out - -.PHONY: clean - - -# Remove fixtures. -# -# This target removes fixture data. - -clean-fixtures: - $(QUIET) -rm -f *.json - -.PHONY: clean-fixtures diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/huge.json deleted file mode 100644 index 509685341444..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/huge.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[41170.953782275319,40220.227865502238,41369.737219065428,41173.451552167535,42200.246462598443,59542.314102873206,47673.279931768775,44815.873289480805,40382.413994520903,47232.008902356029,48373.678494244814,56414.518300443888,58809.204017743468,46292.073419317603,50878.007709980011,46675.666766241193,57931.392453610897,52913.108170032501,50609.114794060588,47392.426803708076,44517.347775399685,43064.096495509148,58269.823994487524,40932.018337771297,44432.210214436054,52157.108709216118,44526.170939207077,51355.010671541095,43664.445457980037,48334.840945899487,43671.842962503433,52664.699526503682,55605.041058734059,53925.196267664433,40773.77961948514,44914.07074034214,50786.97138465941,56628.146385774016,49256.435837596655,52917.194925248623,59295.209739357233,54590.240381658077,58170.20870745182,46697.888346388936,51409.49017368257,59301.438368856907,59274.816429242492,51839.877124875784,52814.930444583297,40536.082405596972,49936.995059251785,51076.038610190153,54981.00814409554,45803.995057940483,47744.984226301312,49949.952056631446,48844.293672591448,46043.824460357428,58557.752519845963,40146.746290847659,46364.911422133446,55066.321603953838,59667.315557599068,48572.730487212539,41881.365673616529,40112.89119720459,57362.352292984724,49055.124074220657,49470.386290922761,48782.465653494,46900.307005271316,53459.891593083739,40398.110300302505,51039.820294827223,46259.781559929252,48148.726718500257,55650.021601468325,49913.178356364369,50788.712995126843,45899.39353056252,51107.11432993412,57270.630123093724,47480.613999068737,46679.540891200304,43043.810678645968,57326.099816709757,59759.755032137036,42202.979773283005,45481.06680624187,40289.855403825641,51599.774360656738,57407.770333811641,52396.136606112123,41868.035942316055,56080.097118392587,58192.394664511085,59577.268809080124,55157.02742151916,44159.992095082998,56987.174609676003,43443.797770887613,59909.162251278758,53290.113052353263,46930.174911394715,55449.790041893721,44621.355021372437,51113.88036981225,50987.462410703301,46280.822679400444,41786.821838468313,51114.653116092086,43975.009145215154,47978.73473726213,58594.791600480676,42662.574807181954,49894.805140793324,41990.078752860427,47253.614896908402,51505.629103630781,55108.4347628057,47463.176716119051,53611.126216128469,42198.420995846391,48861.694391816854,58497.7126121521,51056.017205119133,58481.252957135439,54418.595209717751,53329.802565276623,53991.818921640515,40500.725517049432,55693.76896135509,45175.056317821145,57171.574113890529,42646.266547963023,55801.892317831516,42404.309464618564,49229.190656915307,55007.442999631166,50094.612250104547,40148.166511207819,50234.555024653673,52166.379448026419,40339.478198438883,45610.083816573024,48678.749045357108,43735.273238271475,58737.344853579998,58555.100755766034,55578.547371551394,48645.795583724976,49886.443326249719,41453.06165330112,41607.218403369188,52519.717998802662,58900.503851473331,40768.37963424623,54156.518783420324,48611.303735524416,50181.950349360704,48039.601389318705,41580.613199621439,45366.058405488729,47343.663042411208,44944.811277091503,47443.172773346305,57404.859876260161,43480.07651977241,49646.095046773553,41919.526616111398,41483.852006494999,59100.684765726328,45209.007048979402,47781.512960791588,43888.392923399806,52219.894006848335,59758.668728172779,43945.469036698341,51498.130662366748,49082.132382318377,43399.02070350945,47340.990481898189,40027.086716145277,55246.438458561897,46891.292370855808,41950.930906459689,49295.760132372379,53840.617528185248,59258.904522284865,44408.456766977906,52932.917093858123,43537.697689607739,58085.096916183829,56224.011834710836,56967.032952234149,44922.960987314582,40205.352324992418,51356.527749449015,49161.973865702748,45294.832568615675,50251.022158190608,48929.492933675647,57987.806163728237,41058.334559202194,47428.944790735841,58275.15603043139,50547.546483576298,52613.832009956241,40674.690054729581,59515.755111351609,41296.309223398566,47069.127801805735,50831.020269542933,56957.754967734218,48987.875422462821,59222.295666113496,49123.410806059837,57165.488842874765,40371.116539463401,57355.681657791138,56941.758319735527,40132.212387397885,42093.596030026674,47068.493040278554,40162.583282217383,52537.225494161248,53148.978482931852,54881.465537473559,52791.404780000448,45140.237575396895,51972.96991944313,49705.529781058431,40839.106207713485,42858.039606362581,55071.686496958137,49835.072327405214,58060.683663934469,45910.481093451381,57455.783886834979,59359.922641888261,42219.993732869625,51434.68570895493,42762.799896299839,54377.878727391362,49007.883789017797,55502.912513911724,57450.742637738585,54631.649041548371,54125.55580958724,48216.60228073597,56434.596627950668,56265.65458253026,56856.695879250765,50487.774489447474,48025.926221162081,51742.061879485846,48834.100412204862,54725.697059184313,54790.588952600956,45428.642118349671,59188.12558054924,54826.782457530499,53732.879748567939,48510.0416559726,48270.178530365229,56890.62456600368,40727.213015779853,42269.161902368069,57804.11085113883,53691.214425489306,48240.956347435713,45753.395846113563,57324.030650779605,44983.283234760165,54041.36560857296,53231.893172487617,48428.653553128242,40380.333391949534,52263.321466743946,49643.987538293004,46498.631564900279,42500.762138515711,50309.281600639224,48095.942623913288,48507.743468508124,49644.541796296835,55814.045835286379,46668.477421626449,57100.077457726002,41001.965831965208,40039.745680987835,48005.660669878125,51138.941291719675,52186.377104371786,56440.088544040918,48568.288357928395,47222.498757764697,48536.678273230791,55951.804993674159,41986.65352538228,49685.816643759608,49520.407468080521,49488.390535116196,51379.797952249646,40264.272522181273,41628.282368183136,46541.774794459343,47609.021672978997,44827.317306771874,52722.012689337134,58867.369247600436,43875.092081725597,48672.647885978222,41193.087510764599,52221.80275246501,51838.956326246262,57339.067868888378,57713.808100670576,55972.88659773767,56305.173179134727,41045.749327167869,55908.949887380004,41720.881704241037,42858.816646039486,48131.392356008291,44311.39106862247,41549.724079668522,46212.619114667177,55489.508826285601,52174.964603036642,44630.178520455956,59410.42953170836,51089.291330426931,57719.477266073227,51254.549566656351,55214.654868468642,52704.493422061205,44421.044010668993,44486.721912398934,48335.216799750924,49988.81864361465,42075.021406635642,54884.797558188438,48792.676962912083,58521.784469485283,55631.723590195179,42378.502748906612,55495.719481259584,56557.442797347903,40941.224610432982,59162.034904584289,56320.791309699416,43539.669848978519,51231.179479509592,42433.600015938282,41515.486920252442,50788.680538535118,45353.895593434572,42923.280755057931,51579.673131927848,59566.418929025531,52803.093260154128,41588.523611426353,58316.349666565657,42888.989318162203,55243.492955341935,57386.219725012779,50195.054356008768,48278.641225770116,59123.146301135421,42720.032846555114,55592.073332518339,55976.62165760994,59080.324480310082,43013.689899817109,51086.169807240367,45256.03705085814,58214.754899963737,55385.7462387532,48237.155135720968,41866.430528461933,49097.906462848186,48513.992289081216,54668.469214811921,52962.208138778806,55832.289895042777,53296.389887109399,52424.936704337597,45911.287041381001,51001.350749284029,59702.129308134317,53687.436003237963,44737.013541162014,54986.623376607895,40179.207939654589,51947.843171656132,47400.279529392719,56498.10841307044,43708.227593451738,44181.192163378,53296.722611412406,58017.034064978361,52291.671093553305,46116.165546700358,54394.391253590584,46533.911749720573,55454.828683286905,49305.800953879952,42596.704689785838,42815.741552039981,44168.287171050906,56402.516467496753,57094.397582113743,45540.29637016356,55761.136692017317,57424.506079405546,53673.812933266163,55774.076413363218,54902.402842417359,44684.68913808465,55570.380445569754,51384.270545095205,55435.140505433083,58406.595606356859,59652.50008739531,59569.122651591897,58244.55845169723,56294.040456414223,53938.078470528126,57284.963242709637,48377.355495467782,58213.877882808447,40645.718909800053,52597.722057253122,49914.714843034744,56612.444473430514,45354.394959285855,51316.122617572546,50072.92210124433,55601.834440603852,40031.565334647894,50518.579669296741,45768.584189936519,52594.525404274464,56188.568202778697,41265.910798683763,56162.803377956152,48236.499801278114,50852.224538102746,53337.896820157766,50031.960774213076,47164.810709655285,58973.653241991997,50190.186649560928,46467.098919674754,52531.593581661582,58493.425054475665,58995.035300031304,49558.436283841729,48638.697331771255,50586.122684180737,40964.035876095295,42550.977077335119,54271.758729591966,45449.079945683479,42686.689747497439,55194.607209414244,55763.487536460161,56935.148648917675,49043.474895879626,53682.645820081234,44228.405188769102,46806.040732190013,49126.639179885387,51424.767756834626,56071.77852652967,58381.821159273386,43268.36776919663,51457.122461870313,59857.306312769651,41747.354129329324,47780.865309759974,53003.322025761008,46833.388730883598,48764.453437179327,44168.987264856696,48168.993070721626,56266.603544354439,52805.897267535329,48715.475685894489,40999.921038746834,45672.906041145325,44531.877925619483,47272.331351414323,46073.080133646727,50257.853725925088,43747.651902958751,46785.562355071306,44946.554787456989,56746.35149538517,55929.713994264603,50703.226272016764,49124.037548899651,47699.155760928988,59710.934180766344,41670.930404216051,43327.316734939814,42212.390173226595,43641.658732667565,45358.348442241549,57762.310681864619,51155.769107863307,55011.48316077888,57997.600687667727,45674.89848472178,58018.877124413848,43267.971044406295,44789.368910714984,54923.319863155484,56237.056842073798,56214.471803978086,56627.73635238409,42365.0046531111,48633.223343640566,58584.804125130177,54803.076507523656,55306.977797299623,44375.959010794759,46743.128672242165,51763.647142797709,51617.621062323451,57357.2853859514,43895.617527887225,53643.821682780981,51711.12927608192,48949.834760278463,59872.886035591364,43595.755714923143,53866.328848525882,51389.065692201257,56027.177954092622,48779.999865218997,45457.803448662162,49302.6043754071,48871.810268610716,48515.253970399499,55873.54714050889,46706.914762035012,43116.45801179111,58309.828555211425,53288.670731708407,42689.091823995113,55566.306924447417,42920.601014047861,46541.265957057476,59056.991450488567,50855.457503348589,47674.34373497963,42695.213863626122,58459.427049383521,47590.563455596566,54600.057611241937,43168.386407196522,51070.37054374814,59717.815406620502,57323.693381622434,59314.800500869751,43852.169280871749,43409.13375839591,57311.104033142328,47725.620502606034,44503.847761079669,56169.355707243085,58361.498173326254,41699.942797422409,50938.609577715397,45211.258269846439,45617.782091721892,58063.659528270364,55925.833005458117,45475.447373464704,45844.048671424389,40926.066366955638,44397.436669096351,47718.13191473484,58643.15134473145,55444.796802476048,40699.980091303587,44565.400015562773,50678.097289055586,46781.22072480619,51976.774884387851,53655.575634911656,49259.802829474211,49506.227439269423,51164.646195247769,44208.690905943513,55468.089124187827,52174.031278118491,48943.786611780524,58221.654184162617,51342.015825212002,45260.063102468848,45880.604358389974,55317.497476935387,41180.214732885361,55869.024833664298,50700.503587722778,43363.882601261139,56774.90571513772,55840.485598891973,51041.584545746446,55911.54676862061,45366.664733737707,57534.221922978759,57667.996725067496,46021.096482872963,56568.634761497378,49044.56615447998,52023.429125547409,57773.407166823745,57654.391899704933,57364.796502515674,50134.953679516912,58166.570952162147,45558.135164901614,55577.759994193912,55412.344327196479,55271.227806806564,43525.868514552712,59272.151673212647,47053.32251265645,45191.525416448712,53967.714877799153,55384.060479700565,59904.602719470859,56658.061919733882,52046.815333887935,50825.410932302475,42681.623930111527,50053.414367139339,47735.34718900919,47980.266213417053,44334.311354905367,46770.975813269615,59790.546605363488,59716.951223090291,42799.360789358616,48856.80865496397,56383.133288472891,51321.307579055429,57216.569781303406,58888.449100777507,58164.184587076306,45450.497148558497,46505.618477240205,59929.797882214189,40113.162351772189,41919.647119939327,43509.159842506051,58449.500454589725,40754.284681752324,57262.652106583118,53394.090440124273,54478.131989017129,53964.452715590596,40556.900221854448,59822.033056989312,48909.743949770927,46066.633528098464,41909.754229709506,57239.353666082025,41817.200761288404,41693.209195509553,57766.962172463536,49333.371641114354,45977.245252579451,59561.006873846054,41842.68182143569,49953.387286514044,46580.202337354422,53460.735408589244,54580.117501318455,48034.958764910698,43552.024737000465,58879.782557487488,52505.591446533799,41475.539766252041,59396.862937137485,43075.536275282502,50538.202738389373,55573.506578803062,43925.191825255752,50699.037788435817,58728.193966671824,44756.144424900413,56519.386516883969,41329.31855507195,41856.965497136116,50019.124895334244,51432.194290682673,40889.532975852489,50380.732109770179,48964.650146663189,48875.085124745965,43555.761063471437,41676.221592351794,52256.31576962769,51899.236049503088,50460.377121344209,47558.360295370221,53361.54343560338,47460.626754909754,50753.92815284431,41270.549017935991,54117.354387417436,50375.29980763793,57663.94816339016,57976.920334622264,58100.20468197763,50140.231652185321,46873.457636684179,42202.553544193506,58317.43448972702,41121.612200513482,50936.262803152204,45769.018167629838,59888.388495892286,44145.606113597751,55201.98367536068,59739.750754088163,45991.078447550535,52055.514864623547,57038.42407092452,44793.493375182152,44243.194200098515,55364.954257383943,58786.324094980955,41749.211372807622,58995.556458830833,58317.552227526903,43100.431403145194,48950.616922229528,53018.681956455112,44987.744027748704,49013.913404196501,56842.654868960381,54500.51442719996,50146.091431379318,45358.766596764326,44790.233755484223,49458.765909075737,53478.707857429981,56643.065307289362,59998.749857768416,58989.016022533178,48392.439326271415,51727.822320535779,49509.83302667737,51763.753788545728,53410.016149282455,42141.525940969586,52626.506630331278,53697.034791111946,46063.841413706541,54982.687616720796,54030.891479924321,57193.212890997529,46329.193552955985,54756.094058975577,45672.964686527848,45517.530869692564,53141.370099037886,47007.357375696301,52655.468164011836,40453.531593084335,42505.488516762853,49745.520837605,52968.793893232942,46519.065061584115,45926.541062071919,47375.676622614264,42997.054001316428,51486.623575910926,55682.530226185918,56285.63423641026,52654.738798737526,48195.089418441057,54867.919869720936,45129.366759210825,49267.162196338177,53195.106377825141,50152.995372191072,41393.29987578094,57191.023146733642,49526.161691173911,46199.618112295866,56981.661869212985,50791.168762370944,47173.473620787263,44571.200711652637,48170.396517962217,59854.341326281428,51914.82619382441,52483.932850882411,57459.522476419806,42194.397831335664,41244.368432089686,54100.247863680124,42865.955224260688,48109.476575627923,55972.870038822293,56026.867488399148,43562.002955004573,46583.692636340857,52122.190501540899,57655.854262411594,41942.726531997323,51404.838478192687,41120.392242446542,50432.427562773228,57810.129169374704,54841.089062392712,54183.987779542804,50282.721780240536,41705.040978267789,56623.735083267093,55115.674566477537,49142.557084560394,58956.991750746965,50160.503163933754,47576.755750924349,42533.965082839131,48351.167105138302,58065.601410344243,48563.045039772987,59098.050473257899,40934.453513473272,45360.208256170154,49020.203398540616,42558.589866384864,42219.904353842139,49932.492394000292,55399.743691086769,43492.336617782712,55701.562399044633,56159.363621845841,50424.518827348948,44888.012837618589,52831.800105050206,44064.466003328562,51480.149747803807,46876.901183277369,40078.241163864732,54999.241679906845,52255.031578242779,50315.831433981657,58178.991656750441,54312.917273491621,57200.727583840489,52628.636220470071,49489.056272432208,42568.845031782985,54578.469274565578,40333.211719989777,40289.380475878716,43617.660356685519,42017.643125727773,50528.029892593622,44598.48721511662,46774.660451337695,41718.258652836084,58773.191655054688,41032.293429598212,49755.679331719875,43702.604565769434,49674.965860322118,47151.290150359273,51733.613051474094,46834.647953510284,49928.208133205771,43394.172489643097,45857.059992849827,59607.345657423139,40658.61776471138,49388.77665437758,57169.303596019745,44485.672675073147,50700.685055926442,46413.818700239062,57050.945106893778,55234.54500362277,46997.995115816593,55303.966291248798,53761.576786637306,50821.160711348057,51248.160311952233,47830.45100979507,46390.182906761765,59804.163947701454,48583.624009042978,44968.787161633372,50405.864454805851,51363.97335678339,54300.296390429139,45081.545859575272,45541.301649063826,52656.859178096056,43832.305315881968,49555.474016815424,58851.875392720103,43469.872986897826,58155.317939817905,56428.756602108479,58112.340206280351,54101.988701149821,52124.210586771369,51607.426749542356,46021.470399573445,42853.052755817771,51257.689353078604,47985.045295208693,44656.339064240456,59090.689122676849,57212.234232574701,46020.881589502096,52956.921877339482,46986.093847081065,55279.342560097575,59910.527132451534,56229.670932516456,52079.489817842841,59985.463013872504,55677.030561491847,43852.769685909152,53500.141222029924,56873.624306172132,55003.845887258649,49637.944577261806,44934.585466980934,55577.982161194086,59146.305099129677,51949.950912967324,42825.087765231729,41250.092359259725,50302.291857078671,50619.322545826435,58954.110806807876,41740.478361025453,52219.827370718122,58638.715287670493,40887.985751032829,44376.524556428194,56248.2541333884,44407.347021624446,54281.426928937435,47942.506419494748,49705.454604700208,59575.617145746946,47397.521771490574,50148.471333086491,45357.7746078372,48117.875847965479,57139.440281316638,42572.942227125168,43440.031427890062,56608.235463500023,54613.565020263195,50187.409929931164,59798.772074282169,57962.40740455687,54181.388961151242,46604.381054639816,59832.437010481954,43768.990384414792,45421.420354396105,57811.938757076859,45254.829591140151,57920.979410409927,57901.091007515788,43636.703416705132,42074.353024363518,43651.296710595489,47343.84355135262,47978.625055402517,56751.368585973978,40251.955566927791,54617.215320467949,51538.00549916923,59258.514828979969,57858.881382271647,54219.53160315752,47667.765552178025,52135.695461183786,44633.711092174053,58782.36242569983,55165.43572768569,45478.393901139498,55366.339320316911,42065.07682800293],"S":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],"C":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/large.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/large.json deleted file mode 100644 index 59ec78614218..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/large.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[55139.00781981647,41304.546138271689,45506.956139579415,55411.881003528833,47484.146924689412,46057.421825826168,47088.674064725637,59345.061313360929,52445.645052939653,53956.50215446949,46931.819394230843,43088.613087311387,50320.182610303164,51309.212129563093,53928.350070491433,53779.743751510978,56153.339482843876,49176.814574748278,54722.629608586431,43235.946735367179,46556.806638836861,40249.230246990919,48812.763122841716,56109.874565154314,58661.942621693015,51269.788844510913,51341.197891160846,51513.045495375991,59755.73088042438,54569.061901420355,42223.491193726659,50216.5103610605,48889.718297868967,49495.501853525639,50899.726515635848,51703.633591532707,42969.864485785365,54512.435831129551,50509.127369150519,46903.775557875633,51755.855241790414,40659.140776842833,58179.041547700763,55151.434475556016,50159.34924595058,48182.856198400259,49264.190550893545,43250.661371275783,53865.692466497421,40693.392939865589,53855.145741254091,43434.581691399217,45014.514224603772,58940.612152218819,54868.590570986271,56401.842925697565,45774.180563166738,46652.770331129432,53111.007353290915,56700.689364224672,48486.275225877762,48827.787740156054,48628.617888316512,41180.916465818882,47663.050256669521,52885.723812505603,50360.217625275254,44177.709082141519,54756.576241925359,53777.013523504138,50266.397353261709,47340.396614745259,50045.961467549205,42474.463721737266,48311.790600419044,56264.686286449432,40582.543648779392,50811.109589412808,42318.95387172699,54657.740257680416,52640.625545755029,50993.646429851651,50215.632552281022,54136.386131867766,50241.828933358192,54418.963100761175,59512.947332113981,54105.963548645377,58929.472472518682,47643.993766978383,52603.301424533129,43687.140764668584,49774.860637262464,46082.806969061494,53736.776616424322,54004.699746146798,56988.743087276816,49805.200817063451,56010.209117084742,43584.756143391132,48996.530026197433,44680.220708250999,40469.480203464627,50553.783299401402,57435.995629057288,46778.674023225904,49174.36140589416,53492.220658808947,43752.718195319176,51934.738093987107,47143.239043653011,56418.662574142218,48462.01210282743,41037.478446960449,56900.266176089644,42773.753805086017,58480.223780497909,57121.223453432322,56402.715826407075,40445.022797212005,59498.15621599555,45511.674834415317,54718.98514777422,41983.493836596608,56580.927195027471,55643.496587872505,40247.274804860353,55947.647215798497,52106.880731880665,40344.555471092463,50943.805342540145,52536.477716639638,40581.081677228212,46239.753719419241,51540.81110842526,46412.389623001218,53032.443961128592,56285.756677389145,54712.604330852628,54741.103779524565,53731.337832286954,42595.054712146521,55084.567349404097,46323.559489101171,40064.382813870907,42081.953231245279,51387.973828241229,57676.220368593931,44235.87329685688,52322.53341935575,44819.275550544262,57564.215706661344,41773.51932041347,47539.23206590116,51873.390600085258,56075.908550992608,47795.142345130444,52957.455608993769,55956.521760672331,41261.356500908732,59618.720635771751,51837.878953665495,59231.666894629598,46625.64855068922,57275.24328045547,45013.949815183878,49454.583032056689,43177.093770354986,57415.023213252425,54295.281423255801,40794.992540031672,41439.626533538103,55803.16043458879,43717.547813430429,40826.129419729114,44757.163850590587,53652.874100953341,43855.12157343328,53028.314858675003,46887.93171197176,45468.337014317513,46340.242428705096,40454.548867419362,59602.818265557289,44566.742638126016,53243.554718792439,44424.262391403317,58578.046932816505,41234.945245087147,55724.743837490678,45769.799770787358,53024.792773649096,47692.248653620481,43623.181600123644,54813.18162754178,45143.730025738478,50670.582838356495,40485.84776930511,45643.4625107795,49674.462834373116,58696.933016180992,59353.349274024367,51741.399988532066,57709.699142724276,46913.630366325378,57385.62093116343,40131.126129999757,43836.867930367589,46239.335713908076,44515.392482280731,50201.485026627779,56358.922366052866,44408.334279432893,50874.268924817443,43837.904511019588,43661.146741360426,52893.310692161322,57872.904054820538,49898.589244112372,45589.503264054656,42781.402710825205,47035.38260422647,43675.484294071794,53864.559223875403,41646.984182298183,40863.164775073528,47210.381412878633,44880.462680011988,45936.301155015826,51413.55880536139,47682.931032031775,47021.91548421979,57333.598230034113,45785.587839782238,58374.868491664529,46414.883211255074,54942.181762307882,53248.996045440435,55876.63940154016,58678.54593321681,50321.645755320787,55900.290450081229,56181.718949228525,46150.50632506609,51559.85351651907,46458.142604678869,42002.807380631566,41183.661948889494,53806.384243071079,43900.081347674131,48667.2408785671,50317.513905465603,46456.289906054735,50864.501586183906,59678.244013339281,52247.286196798086,40139.205437153578,59625.783320516348,50540.421511977911,52864.434299990535,52547.380616888404,43826.126242056489,45703.780185431242,43433.621181175113,48871.218878775835,58575.765006244183,42882.605325430632,47947.72706925869,57448.915224522352,43918.315107002854,55122.03405611217,56026.499420404434,57375.884158536792,56485.188510268927,46563.421105965972,51418.579332530499,52062.931200489402,41684.781033545732,56114.843981340528,42182.920509949327,48345.027798786759,54882.279513403773,46471.898248419166,53193.911826238036,50076.166838407516,50136.131970211864,57970.102671533823,43515.741107985377,49060.829421505332,45360.158151015639,48178.086066618562,49092.585658654571,59087.236160412431,59178.29742655158,49644.998144358397,43483.887715265155,53700.857721269131,50315.828593447804,58131.250804290175,51932.409601286054,48008.262198418379,54862.831486389041,59608.908053487539,46917.808428406715,47606.310369446874,59258.438814431429,56581.304864957929,41990.995118394494,42654.970437288284,42088.160282000899,55709.875924512744,55884.786229580641,55602.284874767065,47602.012315765023,47021.050555631518,42796.743446961045,44867.134960368276,41937.317000702024,40486.845960840583,42420.06765678525,54077.126523479819,54265.590291470289,41776.140388101339,51591.516714543104,58621.512036770582,51752.947736531496,51792.699862271547,59906.677482649684,51528.606684878469,41292.642978951335,45450.557349249721,47517.411494627595,45135.049037635326,44769.215723499656,56208.702176809311,59657.612480223179,45493.10895614326,42682.2688896209,40893.248850479722,52833.43699760735,51575.719220563769,53113.030605018139,50705.481162294745,47021.978469565511,58392.192935571074,57586.812078952789,41550.748599693179,43431.727178394794,57038.714131340384,49668.538784608245,59131.428571417928,41920.149549841881,51953.499214723706,42461.395412683487,48672.720231115818,42408.992238342762,47932.568676769733,42681.812550872564,53223.563497886062,48431.812459602952,53472.074531018734,45156.748266890645,49468.16198527813,51398.560665547848,55609.195064753294,43741.575470194221,44658.956835046411,43087.563086301088,52672.8156208992,52012.239629402757,49711.545379832387,41943.274848163128,40620.388286188245,46865.930818021297,55699.312211945653,58340.469030663371,48263.141894713044,58625.889103859663,45318.314339965582,44909.153422340751,48141.607698053122,56000.644890591502,42838.801397010684,51735.101770609617,51855.550473555923,56236.901832744479,53609.230006113648,50328.819258138537,56465.352363884449,53177.308663725853,51026.814365759492,47669.131616130471,55095.132319256663,43889.00788500905,42555.553782731295,51192.446360364556,51446.066237986088,54035.351406782866,52151.203639805317,45279.669305309653,55402.055652812123,42349.477354437113,47665.914408862591,41023.529749363661,42464.505564421415,40945.040518417954,43296.000445261598,55879.509299993515,46912.929266691208,45602.239379659295,56837.297771126032,44463.771088048816,42600.711770355701,50162.744717672467,45250.549456104636,45984.749840572476,45690.617337822914,42205.641325563192,50213.775997981429,42933.278009295464,59603.525176644325,56447.7972779423,58128.979094326496,53751.780223101377,46170.31728848815,44522.715909406543,53286.324786022305,43260.782659053802,43974.176235496998,53980.02109490335,42214.651452377439,41646.977439522743,40749.838948249817,42543.209102004766,43715.397296473384,44682.390904054046,56943.961074575782,57153.91299687326,45815.872699022293,47372.497981414199,49573.631323873997,44021.735275164247,53304.801154881716,53793.114218860865,40870.784344151616,55272.478964179754,44554.070495069027,40262.846266850829,57657.209010794759,44711.982617154717,54291.883390396833,43684.254251420498,41261.232458055019,57533.932393416762,52801.873376592994,41085.940590128303,51403.506780043244,58738.54142613709,58665.895732119679,57709.715813398361,47193.814385682344,46438.436461612582,50801.660707220435,43511.590790003538,59306.435063481331,43254.263028502464,54398.745503276587,59715.786250308156,43219.663230702281,52879.943605512381,53212.278643622994,58767.2667670995,41452.701520174742,55554.460939019918,43825.123840942979,48856.42466135323,49929.352672770619,42630.448965355754,49955.781316384673,46816.662391647696,47644.869768992066,47326.267277821898,52574.195684865117,54506.973931565881,58710.981355980039,55463.796388357878,40026.020156219602,57320.765778422356,50110.573498532176,48408.86895544827,47860.600026324391,53104.703947901726,50759.354941546917,52478.586779907346,47608.107561245561,49463.841393589973,58782.376125454903,55395.687511190772,55320.121068507433,45274.918302893639,55551.958009600639,41758.389072492719,53245.155140757561,51322.554368525743,58171.360418200493,46054.690908640623,41190.148908644915,42832.716908305883,49473.100062459707,54392.82389357686,40191.291989758611,55044.473363086581,52463.931133970618,41290.666190907359,52226.680675521493,53822.209173813462,49869.692455977201,59921.184843406081,55353.819029405713,51636.547381058335,55451.924512162805,40495.396852493286,46134.903728961945,49327.020673081279,59236.52546480298,48283.637491986156,43095.392640680075,44264.13613371551,47336.032725870609,56702.081114053726,51877.414612099528,43707.478512078524,51591.381514444947,56349.203987047076,41071.538254618645,49343.453757464886,55427.374830469489,47888.896437361836,48682.484477758408,46516.685634851456,45935.515947639942,58216.578429564834,46033.808263018727,50215.523773804307,52308.146273717284,43014.518693089485,45015.698345378041,58842.130014672875,59679.30406332016,50063.546234741807,58021.646058186889,49805.440986528993,40046.737333759665,45514.368861913681,59997.505331411958,58072.261540219188,40499.847903847694,40943.723879754543,41167.254419997334,58045.046022161841,43088.635699823499,50700.231101363897,58784.204358235002,46122.79586493969,45830.14995791018,47330.388221889734,41834.902670234442,59209.192981943488,48906.597858294845,53190.274061635137,48936.257129535079,51673.646029084921,58968.902183696628,50339.149842038751,50091.476058587432,47438.195655122399,53754.433849826455,50769.821675494313,48392.984317615628,40887.491852045059,56075.564259663224,42008.637972176075,59178.414074704051,51605.503642931581,53699.817573651671,52834.067577496171,42173.875421285629,56324.222553521395,41208.584792912006,52684.62392501533,50474.407002329826,43358.570132404566,47488.241605460644,54876.721575856209,53059.641839936376,53400.50601400435,42304.682247340679,54794.549085199833,51986.5907356143,58630.58727234602,44280.432127416134,41222.79898263514,51582.510713487864,47257.652236148715,59361.189743503928,43516.170596703887,56279.246313497424,45292.918356135488,58078.852985054255,51282.261293381453,40965.646160766482,49615.031555294991,59835.425084456801,53989.54969830811,42361.888950690627,56267.612734809518,49767.36125536263,40040.695322677493,43966.28855727613,41411.81318089366,48344.142325222492,40000.12531876564,42106.232494115829,59449.54507984221,48504.309123381972,51923.503233119845,58318.932354450226,46296.224612742662,40647.115642204881,56072.603594511747,52248.738743364811,44552.155593410134,48079.094067215919,45334.050925448537,49393.945755437016,44046.385148540139,47595.223179087043,52916.030352935195,59722.24285826087,51735.873138532043,44819.931155070662,48582.960991188884,53825.446078553796,44272.350454702973,45394.125627353787,59069.461142644286,40433.573666960001,47072.623986750841,49591.400669887662,42671.133866533637,53746.91572971642,44412.776930257678,45541.901374235749,42736.440151929855,51349.654896184802,53649.928998202085,54356.779605150223,54394.936114549637,55691.389888525009,45189.979244023561,47981.194918975234,59943.065671250224,43104.892782866955,43933.025943115354,42367.056719958782,43122.310871258378,56678.837668150663,41224.819142371416,45535.33541969955,52382.442206144333,51706.255571916699,47037.48881816864,59074.622029438615,47172.59805649519,49855.591645464301,42928.862450644374,45391.230899840593,50417.775809764862,51558.116246014833,57259.837221354246,46084.314379841089,59071.829598397017,40240.209521725774,57201.433517038822,44493.25549416244,58145.125545561314,45125.186257064342,59005.46258315444,44809.783818200231,58036.670126020908,42314.949193969369,47351.121157407761,50293.350080028176,40334.875592961907,48254.093527793884,46549.986228346825,45618.591085076332,51660.410845652223,56525.17412789166,58601.696798577905,58718.239273875952,57447.622520849109,42191.844461485744,58329.881336539984,50315.766679123044,57090.656748041511,42668.098090216517,42724.623149260879,52741.29094555974,42877.021739259362,54104.394242167473,52554.138489067554,57405.684003606439,57331.184828653932,45223.550824448466,52218.74738112092,40487.330127507448,50557.456826791167,59176.97049677372,47343.289358541369,58664.306467399001,50998.943643644452,59245.904805138707,45922.210589051247,54593.416526913643,51551.682045683265,49120.232202112675,43742.692284286022,43429.251285269856,55426.378361880779,51141.248857602477,50969.636915251613,46687.72048316896,40518.212961032987,49605.240132659674,55270.984778180718,59441.286390647292,49700.519759207964,56635.668920353055,55687.674563378096,42746.509471908212,40584.7158562392,47319.400385022163,57162.328343838453,47252.609208226204,54603.019412606955,52947.381967678666,46648.83210323751,46921.211145818233,44795.781932771206,42706.981617957354,56240.074187517166,46926.996698603034,42033.567633479834,58171.231802552938,43893.047720193863,50453.063761815429,44642.726639285684,50306.662805378437,44081.850657239556,43664.028169587255,41321.474928408861,50029.132105410099,59623.374110087752,50048.82181994617,50548.406476154923,47067.727288231254,47292.588613927364,46536.891348659992,45532.948086038232,52258.525341749191,49035.514714196324,59895.872203633189,49924.282170832157,57410.522839054465,58657.492240890861,56472.238665446639,48915.379075333476,40776.188904419541,45406.922651454806,54149.045310914516,43004.65127453208,59173.994567245245,57326.841745525599,52229.352649301291,58730.072509497404,56328.813703730702,58372.046388685703,58983.798418194056,40700.163161382079,47642.258824780583,43444.127896800637,45457.588480785489,45689.639272168279,45767.291858792305,50874.315854161978,44626.646004617214,40039.435811340809,42797.681512311101,40633.19930806756,42180.77564612031,52296.301405876875,43937.824806198478,43021.548595279455,43167.264508083463,52214.612141251564,50986.353605985641,47645.141780376434,51897.962614893913,49057.761635631323,53799.880938604474,54599.043121561408,46117.858337238431,42845.121845602989,57962.881308048964,42146.284962072968,52611.374352127314,59368.834896013141,52008.248874917626,42638.934720307589,52575.864857062697,42560.751074925065,58543.336298316717,57853.31092774868,40596.902398392558,52138.614449650049,53693.150263279676,40776.582108810544,52015.508851036429,44657.353404909372,56138.71275447309,43345.390735194087,45982.11258649826,41366.288093850017,43204.004028812051,49695.73731534183,56257.134824991226,53665.130855515599,49854.395594447851,42826.833007857203,50582.385174930096,58147.717863321304,48694.270867854357,44610.544070601463,49414.230678230524,44975.082697346807,56214.933237060905,44383.042184635997,45790.031477808952,53059.092843905091,44173.529716208577,44513.972979038954,46343.894032761455,41827.058270573616,47368.3678265661,40158.118763938546,57502.066744491458,57235.911637544632,43967.027105391026,53824.591347947717,49906.893149018288,45153.233082965016,50388.465719297528,58943.42552870512,42153.00920419395,45625.711735337973,51337.179848924279,43981.809597462416,42273.935712873936,58037.544060498476,57003.165958449244,52210.396723821759,40137.832835316658,56556.464238092303,44494.579192250967,40392.519338056445,57072.517778724432,57806.440629065037,52847.792049869895,52841.082708910108,40077.189151197672,57318.064775317907,44714.814303442836,41884.034862741828,44973.95284473896,57225.500447675586,48986.158892512321,50372.576778754592,51898.00170250237,49714.707070961595,55081.817675381899,40109.788179397583,45209.931991994381,43327.030222862959,57396.981688216329,51071.370001882315,56515.708277001977,59509.140821173787,50129.934148862958,53803.319213911891,52386.136241257191,53791.903741657734,40526.293981820345,45422.956570982933,43631.130950525403,48417.913895100355,59878.90082411468,44686.306472867727,42752.926163375378,48430.049391463399,43840.18830023706,42044.792138040066,46821.480039507151,48615.077380090952,53605.594607070088,49228.667505085468,46214.830195531249,52651.144927367568,47792.893275618553,55157.344304025173,49485.836373642087,48452.006038278341,52865.551486611366,51323.936162516475,41395.172039046884,48656.471176072955,49311.124002560973,52061.183908954263,52318.052183836699,49503.150144591928,59444.554522633553,44628.014080226421,43032.68258459866,50296.223079785705,48621.382536366582,59576.356178149581,59818.439362570643,48510.52182726562,56340.417452156544,53396.246274933219,50711.247641593218,43939.196085557342,46068.640789017081,55645.788498222828,58767.412072047591,43894.841782748699,40605.873139575124,42909.861579537392,46043.590055778623,54618.114763870835,46654.950780794024,49757.824884727597,59762.913975864649,55295.347021892667,48897.516652941704,40562.45562620461,53191.714016720653,53137.582261115313,43345.165383070707,42194.619448855519,44969.094088301063,55564.380958676338,50550.894280895591,48880.261583253741,50556.499240919948,43082.824759185314,53035.75174883008,51879.744604229927,42867.656266316772,56698.890421539545,58251.44549831748,52044.633058831096,54147.914033383131,43991.269795224071,41271.47956751287,49757.101135328412,47598.857823759317,54003.503387793899,56881.54824078083,48181.414920836687,45040.638530626893,58011.823687702417,44720.860179513693,43497.074032202363,55323.286587372422,58477.793885394931,56281.976439058781,51178.138684481382,50976.957557722926,49725.758554413915,40824.100151658058,50651.255361735821,55648.948047310114,51869.953610002995,58310.416210442781,43165.392214432359,40746.972737833858,54370.810613036156,50214.085765182972,48139.535365626216],"S":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],"C":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/medium.json deleted file mode 100644 index 755824947a13..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/medium.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[28011.031767004635,2505.1264878246002,10252.899686735589,28514.114412155934,13898.147477703635,11267.765749184415,13169.033939431421,35765.522290377878,23045.413501852192,25830.905197087675,12879.848826173693,5794.3215184216388,19126.804669485427,20950.228942668997,25779.002607461531,25505.024567473214,29881.104337545112,17018.834190734662,27243.376077870373,6065.9531986596994,12188.456559691578,559.49334486480802,16347.650731427129,29800.970242046751,34506.090514484327,20877.546203182545,21009.199492038693,21326.026327549946,36522.653237694409,26960.250974553637,4199.3395393141545,18935.669327169191,16489.529139866121,17606.381992252544,20195.280790552031,21677.404071029276,5575.3906592181884,26855.852320061997,19475.152674134355,12828.145807277411,21773.682516526897,1315.2248932262883,33615.789949418511,28033.942170858849,18830.284237296786,15186.322830180638,17179.924909154885,6093.0818371525966,25663.483915857971,1378.3738935831934,25644.039445863105,6432.1665353481658,9345.0091501907445,35019.859594438225,27512.477006198838,30339.257709962316,10745.567995282356,12365.380020986777,24272.108706894796,30890.225946352817,15745.721320189536,16375.35086713871,16008.151369794738,2277.1966422069818,14227.982605708763,23856.764706925955,19200.615224838722,7802.2333492902108,27305.961788425688,25499.990982608404,19027.64348034095,13633.122218775097,18621.236859647091,4662.0450405809097,15424.032740462571,30086.388872012496,1174.0065980721265,20031.902194520924,4375.3393056094646,27123.742826072499,23404.889287431259,20368.436240395997,18934.050955012906,26162.548292018007,18982.347912985831,26683.521320718341,36075.045348851942,26106.45969646005,34999.321923959069,14192.849108489696,23336.076671340503,6897.7970707812347,18121.421813888941,11314.567068510223,25425.808208870701,25919.764686983544,31421.296192857902,18177.358486379031,29617.222038713284,6709.0356637630612,16686.452582798898,8728.6889087669551,965.55717711756006,19557.482579941396,32245.873341511469,12597.502362920437,17014.311405976769,24974.932617613114,7018.6989008001983,22103.47988697933,13269.632662830874,30370.2672548173,15700.988613377791,2012.7471387386322,31258.175735547673,5213.8312027468346,34171.064572914969,31665.5436199205,30340.867033355404,920.46628007991239,36047.775707620196,10261.599308469798,27236.65696769394,3756.8684118413366,30669.426423112396,28941.132484231144,555.88819398079067,29501.879789406899,22420.850661331788,735.23969427961856,20276.546719774138,23212.877142282669,1171.3112342217937,11603.921944807284,21377.21640004823,11922.202128446195,24127.26530893473,30125.235298268497,27224.892974576447,27277.435983120464,25415.780994495843,4884.3726200489327,27910.662593728863,11758.430452081375,218.69937479309738,3938.3930747853592,21095.437948436942,32688.763682558201,7909.4678037501872,22818.438738595229,8985.0573687609285,32482.266287586186,3369.7488950802945,13999.705198298674,21990.376579847187,29738.348800037522,14471.514184599742,23989.013033521362,29518.241344063543,2425.4999129003845,36270.054300140589,21924.90553292539,35556.462670283858,12315.376950478181,31949.502274011727,9343.9685767637566,17530.942007051315,5957.4489297149703,32207.207547112834,26455.495595985558,1565.6879964293912,2754.1674585575238,29235.496735229623,6953.8570262310095,1623.0935046835802,8870.5451331413351,25271.121336222626,7207.4948888602667,24119.652689196169,12798.935300776735,10181.699536446482,11789.187953682151,938.02901941770688,36240.735895294696,8519.4750647810288,24516.479657301679,8256.7913579107262,34351.41622768715,2376.8068011049181,29090.923975989688,10737.491347412113,24113.159197138157,14281.814230247401,6779.878757067956,27410.322307617404,9583.2378619527444,19772.820049935952,995.73323987936601,10504.569657998625,17936.323404591996,34570.600555282086,35780.802389055025,21747.032088857144,32750.486824483611,12846.314624875784,32153.000029739458,341.75068957405165,7173.8415598222055,11603.151288946625,8424.8033499568701,18907.967869342305,30260.127220173366,8227.4254942764528,20148.345903239679,7175.7526517412625,6849.8731897091493,23870.752257603221,33051.379560669884,18349.534059907775,10405.087692774367,5227.9331078128889,13070.783138282131,6876.3066187654622,25661.394613097887,3136.4623876940459,1691.3737375643104,13393.419691853691,9097.8650200041011,11044.461624444928,21142.607691504527,14264.635797205381,13045.954482481815,32057.088376802392,10766.599020814523,33976.826294657309,11926.799432430416,27648.153406078927,24526.511559176259,29370.966232649516,34536.701209775172,19129.50219679717,29414.570488292258,29933.42614074517,11439.380986208096,21412.323935730383,12006.554613116197,3792.4758273013867,2282.2583520701155,25554.140309737995,7290.3849766394123,16079.358645770233,19121.884511811659,12003.138885297813,20130.338349367958,36379.794575192966,22679.709196726792,356.64610420819372,36283.075418869965,19532.848120558076,23817.514297177549,23232.978274326306,7154.0376461674459,10615.774338870309,6430.3956906734966,16455.422685855068,34347.209153762087,5414.515308230184,14752.827011238784,32269.692553690635,7324.0016470258124,27979.738087551203,29647.255656428635,32135.048828886356,30492.917796957307,12200.651322014164,21151.863786419854,22339.823107782286,3206.1465524965897,29810.132106198464,4124.5413981680758,15485.310501233209,27537.714624886867,12031.915205697995,24424.955538443755,18676.924991630018,18787.479706881102,33230.579790373333,6581.7960937372409,16804.998162958305,9982.2555751199834,15177.528376721311,16863.545549578499,35290.182947144378,35458.068050461821,17882.000828846358,6523.0695862486027,25359.586337817833,19118.777386310045,33527.680545329582,22099.186961411033,14864.432602114044,27501.859269881155,36251.963332812302,12854.017509032041,14123.374112630729,35605.820720226504,30670.122714279685,3770.698150028009,4994.8362467065454,3949.836703910958,29063.51274822792,29385.986132166348,28865.152509364299,14115.450005960185,13044.359856890049,5256.2160559897311,9073.2933696829714,3671.7344883442856,997.57355570374057,4561.7577354321256,26053.294315013569,26400.755540869199,3374.5812265230343,21470.699790767394,34431.550666592084,21768.322094456293,21841.611101076938,36800.94594088709,21354.715714576188,2483.1812281436287,10148.920056944247,13959.475702070165,9567.2331582363695,8892.7645686301403,29983.173768274486,36341.757249163464,10227.370326993521,5045.1650383495726,1746.8382431869395,23760.366120638791,21441.574740992393,24275.838874941692,19837.160344864707,13046.070605414454,34008.766505665611,32523.92608936131,2959.0376558243297,6426.9038124475628,31513.4253082457,17925.401530242991,35371.658285694662,3640.0837175659835,22138.068827225361,4637.9516525939107,16089.460654096678,4541.3385402206331,14724.880240926519,5044.3237094162032,24479.622842877638,15645.311041146982,24937.790209112689,9607.2389422529377,17555.976844158024,21114.95637103729,28877.89248113241,6998.1556156235747,8689.4857689333148,5792.3856840590015,23464.236519470811,22246.365592748392,18004.69063952798,3682.7186738159508,1243.7788638309576,12758.373352644965,29044.036959553603,33913.405728382524,15334.341554187704,34439.620446330868,9905.1102328775451,9150.760707098525,15110.275032515638,29599.588952539023,5333.7561955987476,21735.420379384421,21957.485630571377,30035.164063939359,25190.656900771428,19142.727625267114,30456.346885675564,24394.345117878169,20429.586305432487,14239.194504078943,27930.140700397547,7269.9693871969357,4811.5467315325513,20734.953732286114,21202.540019663051,25976.27562111523,22502.566590527073,9833.8623147341423,28495.999904307071,4431.613924507983,14233.263099899516,1987.0306224143133,4643.6856838455424,1842.3239517812617,6176.6712209065445,29376.257320933044,12845.022042535245,10428.568632308859,31142.084035736509,8329.6315664811991,4894.802255416289,18836.544298736844,9780.1755047473125,11133.784043571446,10591.506654877216,4166.4306298745796,18930.628118678462,5507.9380018375814,36242.03919192031,30423.981451478321,33523.492307255045,25453.469608320855,11475.905468921177,8438.3051863773726,24595.332691750024,6111.741949364543,7426.9900165740401,25874.265891618561,4183.0421501756646,3136.4499563761055,1482.4405769407749,4788.7874609110877,6949.8922256431542,8732.6899902592413,31338.73383514164,31725.811696685385,10822.433701552451,13692.305903434288,17750.425390260294,7514.6722400565632,24629.396649197675,25529.675029602833,1705.421556095127,28257.105842310004,8496.1120682340115,584.59651987953112,32653.713392751757,8787.2467521172948,26449.230812705122,6892.4753506314009,2425.2712212931365,32426.434457122814,23702.173850755673,2102.094368990045,21124.075275026727,34647.311900297645,34513.378666522447,32750.517559371889,13362.875892163254,11970.223382452037,20014.481762866955,6574.1443599900231,35694.309004787356,6099.7220324985683,26646.247147115879,36449.009320380632,6035.9321152842604,23846.1080283029,24458.817521315534,34700.271375162993,2778.2731576701626,28776.981910224073,7152.189569354523,16428.147326903883,18406.251055153552,4949.6272349781357,18454.976223952603,12667.539618361276,14194.464149602223,13607.072666756343,23282.415874401573,26845.782488931436,34596.500776952598,28609.828211396001,147.97206101426855,32033.429827388376,18740.358830568846,15603.011249712203,14592.195238532964,24260.487433549017,19936.484737982973,23106.146516776178,14126.687505290378,17548.011185292155,34728.127743694931,28484.259280006867,28344.941207953729,9825.1031291298568,28772.367384400219,3341.8540135012008,24519.430275257677,20974.827361532487,33601.628635015339,11262.730893715285,2294.2180354231969,5322.5385279981419,17565.080930153839,26635.329771392979,452.67547691846266,27836.743315854575,23079.12663514493,2479.5367228663526,22641.7198274252,25583.31594330119,18296.258496462367,36827.692436545622,28407.068453563843,21553.7205790882,28587.940626848955,1013.338407099247,11410.615259900689,17295.7616639263,35565.420173184015,15372.128262100276,5806.8206419898197,7961.5745829246007,13625.076735051349,30892.791845925152,21997.795449597295,6935.2927587935701,21470.450529106427,30242.209930719342,2075.5415031276643,17326.058519950137,28542.679606195074,14644.36391674215,16107.462507419288,12114.487470693886,11043.013976866379,33684.994821667206,11224.230604114477,18933.850405574311,22791.913877538871,5657.7173885144293,9347.1922544562258,34838.293001551647,36381.748936340213,18653.657015681732,33325.607755176257,18177.801274814177,186.16728538600728,10266.566152267158,36968.400704257656,33418.924988625105,1021.5445879288018,1839.8965309094638,2252.0086114280857,33368.749098758679,5794.3632079795934,19827.481070029549,34731.498365059961,11388.292596396059,10848.755969901104,13614.670245287009,3482.9183079777285,35515.028641160112,16520.64914144529,24418.24877373362,16575.330456867348,21622.117501522414,35072.016510972288,19161.773606274743,18705.149835414719,13813.429419566412,25458.361967232544,19955.781732025091,15573.725537172053,1736.2243530228734,29737.714047328103,3803.2253974024206,35458.283108828124,21496.486791290808,25357.668669662904,23761.528689250816,4107.8654204532504,30196.152910799719,2328.2073534522206,23486.006899354514,19411.140469845384,6292.0278246076778,13905.696635907516,27527.467733327299,24177.408678198699,24805.842912719119,4349.0274253096431,27375.970420928672,22199.078009715304,34448.282224660739,7991.6186917107552,2354.4133443352766,21454.0958769219,13480.570545175578,35795.257470611017,6582.5879206131212,30113.232465879526,9858.2889272891916,33431.077305895276,20900.541033542715,1880.3135442971252,17826.752926919609,36669.581456958782,25891.833301285747,4454.4965639407746,30091.784218531568,18107.595578449313,175.02793165436015,7412.4478986221366,2702.8893709545955,15483.677997896448,100.23104394227266,3983.155537776649,35958.15378645109,15778.969515323173,22082.766735741403,33873.699635282159,11708.03450728301,1293.0547537510283,29732.255617021583,22682.387184204534,8492.5816597905941,14995.02177702263,9934.122988703195,17419.148092011455,7560.1179791060276,14102.933214123826,23912.639360188972,36460.913045632653,21736.8425118546,8986.2660740460269,15923.976031405386,25589.283662725706,7976.7189158131368,10044.87971287081,35257.412035636138,899.35809109080583,13139.443213173188,17783.185845038388,5024.6359530347399,25444.501185091678,8235.6161874695681,10317.326468609739,5145.0378861054778,21024.79124935111,25265.691597535275,26568.876719035208,26639.223967589438,29029.430967979133,9668.5052332440391,14814.53001236869,36868.033024800476,5824.3355791326612,7351.1232800246216,4464.0241217520088,5856.4484377955087,30849.939066885971,2358.1378118330613,10305.221146529075,22928.889573357999,21682.238085164223,13074.666259616613,35266.926904574502,13323.760406857356,18270.261537160259,5499.7972571304999,10039.54284849111,19306.732371672988,21409.121016965248,31921.098893149756,11317.346206394024,35261.77863908466,542.86228472972289,31813.422903688625,8383.9904918125831,33553.260712074116,9549.049642836675,35139.421091432683,8967.5579364248551,33353.306877838448,4367.956081461627,13652.894521854818,19077.334875043947,717.39338696422055,15317.659532517195,12175.882109891623,10458.71545400098,21597.71645558672,30566.637280887458,34395.018302698154,34609.881837281398,32267.309260563459,4140.994041418191,33893.885726111941,19118.6632379652,31609.189313526731,5019.0390440276824,5123.2514691348188,23590.481051781215,5404.2211295855232,26103.566444572061,23245.437425369397,32189.989313249011,32052.638909347821,9730.3994774944149,22627.093609203584,998.46618957910687,19564.255278713536,35455.621656376868,13638.455425874796,34510.448618620168,20378.202448605094,35582.712393993977,11018.483552504331,27005.152379844338,21397.258603523951,16914.516099425033,7000.2146299239248,6422.3391320877708,28540.842466881499,20640.563456318807,20324.171098803636,12429.815868794452,1055.4033256084658,17808.700970578007,28254.351086292882,35942.92765411688,17984.363254063763,30770.35100500891,29022.581208772026,5163.6021878835745,1178.0113883554004,13594.412519846112,31741.326651117764,13471.272966746241,27022.856740052812,23970.440764710773,12358.119307133835,12860.290928987786,8941.7433603536338,5090.7266599470749,30041.012775816023,12870.957463379484,3849.1869674650952,33601.391512776725,7277.4174293354154,19371.791004471015,8659.5629685190506,19101.878881135955,7625.503964219708,6855.1855348595418,2536.3372517609969,18590.209406139329,36278.633678063285,18626.510348343756,19547.569599763025,13130.415414947551,13544.980998067185,12151.739734956995,10300.819738824386,22700.430246315897,16758.326702828053,36781.024788228329,18396.902824254707,32198.910432222765,34497.885569918435,30469.042815550696,16536.838632238563,1531.0206736330874,10068.472946354654,26185.887387467548,5639.5253222910687,35450.135083901696,32044.63178413827,22646.646011884324,34631.698182134889,30204.617384883109,33971.623324500397,35099.479953703471,1390.8558124820702,14189.650482306723,6449.7663969364949,10161.883002600167,10589.703444133047,10732.867635462433,20148.43242452573,8629.915906412527,172.70583357848227,5257.9455201723613,1267.3979043187574,4120.5870199697092,22770.0760869449,7359.9707039478235,5670.6780676869676,5939.327210328076,22619.469674218446,20354.990825675428,14194.965643391013,22035.678774949163,16799.342239531688,25542.150492458139,27015.52585106669,11379.189523449633,5345.408890645951,33217.266123584472,4056.9982703258283,23350.960324299522,35809.352456034627,22239.008038241882,4965.2719970950857,23285.493243723642,4821.1287192855962,34287.421966391616,33015.256691943854,1200.4791067964397,22479.356530097313,25345.376482895575,1531.7456049085595,22252.392893213313,8686.5296049611643,29854.137769784313,6267.7296289405786,11128.921870097518,2618.9570442265831,6007.0620277193375,17975.546101429965,30072.466620095074,25293.718501771335,18268.056437703781,5311.6906749359332,19610.214427759871,33558.040038712323,16129.192485519685,8600.2295757643878,17456.546389919706,9272.3112149634399,29994.661662507337,8180.7957237041555,10774.791534062475,24176.396521665622,7794.5280612879433,8422.1862828051671,11795.920233500656,3468.4559805430472,13684.69134344859,391.51565913530067,32367.685353481676,31876.988490559161,7413.8095228541642,25587.707838643808,18364.843554187566,9600.7581734084524,19252.694823382888,35025.046475997195,4069.3954193121754,10471.843440855853,21001.791628469247,7441.0632643615827,4292.3415770400316,33354.918107138015,31447.88691929495,22611.697919873986,354.11550683155656,30624.325292558875,8386.4309277934954,823.66827760776505,31575.747402745299,32928.844265775755,23786.831812742632,23774.46213628212,242.30977860558778,32028.45012301486,8792.4673905423842,3573.5008746939711,9270.2281622029841,31857.793900357094,16667.331842180341,19223.401178150903,22035.750838818494,18010.519691378344,27905.593157217838,302.41097694635391,9705.2911170404404,6233.8792703812942,32173.945289480034,20511.731303970329,30549.185564894695,36068.027474957053,18776.053093551192,25548.489468728658,22935.70008119382,25527.443333307281,1070.3018995830789,10098.033882092685,6794.5345769361593,15619.68695270177,36749.73550437903,8739.9089287025854,5175.432321107015,15642.060560571495,7179.9631597320549,3869.8810252975672,12676.421674837358,15983.187411804684,25183.954497324768,17114.432845750824,11557.971689991187,23424.283345341217,14467.367687594146,28044.837826116011,17588.562230265234,15682.540932471864,23819.573998291045,20977.374906023499,2672.2089297887869,16059.503083766904,17266.453767321538,22336.601713743526,22810.176908730529,17620.482764076907,35948.952945653349,8632.4381590094417,5691.2052470953204,19082.631681046914,15994.811913172249,36191.949067845475,36638.265730803367,15790.423566838261,30226.010635668412,24797.989444780629,19847.791714423336,7362.4988631377928,11288.449590671342,28945.357964748517,34700.539266630542,7280.7250527646393,1217.018013777677,5464.7663011141121,11242.264806336258,27050.687284410466,12369.400007010903,18090.013848728035,36535.89635160286,28299.266536912415,16503.906577195972,1136.971315252129,24420.903546927031,24321.103535705246,6267.3141584983096,4146.1101468824781,9261.270315896254,28795.270954463631,19552.156240973156,16472.09426796576,19562.489825522061,5783.6498672720045,24133.363711730577,22002.091139588505,5386.9544753949158,30886.909325671382,33749.277492973022,22306.08773891395,26183.80170764681,7458.5045579648577,2444.1633046451025,18088.679508148227,14109.634226773866,25917.559020906221,31223.666414115578,15183.665618800558,9393.1732269902714,33307.498741832562,8803.6138699604198,6547.3805394698866,28350.777316809166,34166.584696808364,30118.265861870721,20708.575385644101,20337.667801295873,18030.894758845214,1619.3522446043789,19737.186947664246,28951.183067423292,21984.039973082021,33857.998846382834,5935.8753561382182,1477.1562881073914,26594.744986724108,18931.199220979586,15106.454376836773],"S":[0.49999409511179432,0.50005410089451596,0.49996896138734886,0.49999508127533376,0.49998921945126995,0.49999904584064631,0.50000386004640962,0.49999600339238148,0.4999906824937751,0.4999943894996669,0.50002331889183305,0.50005358994273019,0.49999648835485699,0.49999419106979121,0.49999219663871008,0.50001194338425758,0.4999916995976505,0.50000610611521201,0.49998852398038268,0.49995030990605255,0.50001212916552784,0.49982669934981094,0.49998493355724272,0.49999417291050957,0.50000549476475431,0.49998980956915701,0.49999320062444236,0.50000179268143319,0.49999363859327123,0.4999932250932429,0.49995227721760965,0.499996536751243,0.49999248706249755,0.50000402378906283,0.50001491790182595,0.49999419632786035,0.50000025983901375,0.49998853395097292,0.49998566687592033,0.49999431242692549,0.50001269274505056,0.49983426039890072,0.50000940064398636,0.50000957786395539,0.49998727424987649,0.50000335906965465,0.49998177765753959,0.50004746860158411,0.50000563960949096,0.50013850746817168,0.49999803931112841,0.50004265680553772,0.49996595033739627,0.50000908716017201,0.49999969799287691,0.50000856945555017,0.49997774187861355,0.49999743986383116,0.50000162971182061,0.49999972925392466,0.49998006884515972,0.49998057314580091,0.50001801485406494,0.49990876568141318,0.5000009959857461,0.50001205812808081,0.50000032050431031,0.5000148262089974,0.50000344453651058,0.4999877137621242,0.49998670091027747,0.50001465720162042,0.50001639192022873,0.49993185513573635,0.5000206258915757,0.49999435971709627,0.49981060897702589,0.50001176715238804,0.50007261295088701,0.49999807172427424,0.50000871974634709,0.50000295057437072,0.50001307094758429,0.50000250791415324,0.49998493701966873,0.50001185024597461,0.49999891782597594,0.50001198705454142,0.49999805898194327,0.50002150081010588,0.5000108991121861,0.49996397120865593,0.49998873741246502,0.49997196171117619,0.49999854265464622,0.50000765723706786,0.50000781262655636,0.50001317785025312,0.50000473495676512,0.49996452734210267,0.49998187634177121,0.50003627110625426,0.4998332058047511,0.49999656722591468,0.49999242572875485,0.50002382437179804,0.49998947343487737,0.49999504292517122,0.50004161906990796,0.4999974327589754,0.49999975628958537,0.50000210973472325,0.49998714078657269,0.49998895433287721,0.50000896660190164,0.4999416271010228,0.50000929053707699,0.49999608162688208,0.49999093441734149,0.50033315789537181,0.50000591090099145,0.49997400931448172,0.50000403069395183,0.49992244811660191,0.50000198807888796,0.5000073998369523,0.49949640188257138,0.49999816809978387,0.49998822966828244,0.5002588770811196,0.50000296137025002,0.5000046998551213,0.50027173674364622,0.49998063917667285,0.50000033890590401,0.49997861089657286,0.49999423827289124,0.50000991911088133,0.50000796529205038,0.50001117077319157,0.49999034780402385,0.49993577543057494,0.50000900067899745,0.5000124247692197,0.50088578590691646,0.49991919095146714,0.50001406102075741,0.49999856535796899,0.49999612212389283,0.50001036139952737,0.49996485328852786,0.49999730066431464,0.49992221713043555,0.50001918343425822,0.5000142034815781,0.5000056312167952,0.50000695876198464,0.50001160293580749,0.4999892451098974,0.50012644537354234,0.5000008924867656,0.50000801455966959,0.50000743012374627,0.50001623531784944,0.49999235265270797,0.49998763627906462,0.49998445049296203,0.50004936861182681,0.50000987958181309,0.4999957609758402,0.50003112124976468,0.50009458001086604,0.50000577061087503,0.49996560402234935,0.49986686606068009,0.50000230394162504,0.50001007369175188,0.50002745321103703,0.50001282002659941,0.49999356827652763,0.50002032136955765,0.49998437929653727,0.50026103338031047,0.50000820393647138,0.49997902697856311,0.5000042655981487,0.49997156509255569,0.4999978058201735,0.50008377093031808,0.50001027632830597,0.49997703271384475,0.5000098119271742,0.50001997322826341,0.49995314095340726,0.50000013622782602,0.49996705477738607,0.49999330965999833,0.49984820102686184,0.49997300618999968,0.50000740739135996,0.50000348518322035,0.49999276525741265,0.49999282366924924,0.49999641253576571,0.49998416683804942,0.50000135754723896,0.50069265103304417,0.50001854894787146,0.49997349224312754,0.49997390152136295,0.4999986285800444,0.49999407266716217,0.50003541283605435,0.5000085363804716,0.50004358674104898,0.50002010902402672,0.50000685755936369,0.50000204966896988,0.49998363933814227,0.50003017125567162,0.49996266464066608,0.49997633806316533,0.49997998017677292,0.50000862007212754,0.49991026608269118,0.50003529990885764,0.49999842820299989,0.49996527352691911,0.49998211590684916,0.49998494480743388,0.50001748245106281,0.49997937836671413,0.49999695954096274,0.50002170979698679,0.50000084232171116,0.49998793678305187,0.50000413585514991,0.50000519925169962,0.50000690075359389,0.5000069773454775,0.50001485839972604,0.50000018210730335,0.49999276264576931,0.50001445011404511,0.49998707159182554,0.50002318661675793,0.49998695679396166,0.49995991339414342,0.50000059114488238,0.50000734514899914,0.50001486359826808,0.49999283994570326,0.49999586188400286,0.50001574218959033,0.50000437370019868,0.50000533211473996,0.49931557875396465,0.50000853506180443,0.49998547088019724,0.49999400274682804,0.49999038359507236,0.5000236765996483,0.49999135531952144,0.49998024329532531,0.49998190333773956,0.49999518609488924,0.49994125030847153,0.4999940956299625,0.50000708057841392,0.49995738239937748,0.49999263930390314,0.49998928718765395,0.4999964273331019,0.49999022355522876,0.4999874803316039,0.50001269672451887,0.49998972118767349,0.49991042934292751,0.49998978923088649,0.500071075450363,0.50000989151593589,0.5000042263224993,0.49998079730501427,0.50000112356546234,0.49999620453951915,0.50001551164747038,0.50000302246236805,0.49995356799370766,0.49999255859496439,0.50002673368853201,0.49998254047042245,0.49998670983226956,0.49999307657963377,0.5000087939241098,0.50001507224675945,0.49998690504455967,0.49999565120786382,0.49999356302421716,0.5000036376990411,0.49998778310382741,0.49998694939113175,0.49999473982280357,0.50000604643220981,0.50002430639985307,0.49998034152584958,0.5000022356336159,0.49999515836977121,0.49994403756480565,0.50001306171308768,0.50008057273289086,0.50000445058390031,0.49999931769284317,0.50000632469274398,0.49999545346560814,0.49997577177438968,0.49997883942468407,0.49997816567573411,0.50008420369920314,0.49999951843184398,0.50005872526075545,0.49999385882555059,0.50000242152358532,0.50007130058865135,0.50001056932102672,0.50000427571555839,0.50000434365761504,0.49998984678421216,0.50000842888649588,0.49999428784199779,0.50000237682819626,0.50002743095046354,0.50002237599416322,0.5000295476659431,0.50003117755429682,0.50000357327100908,0.49999126106437303,0.49997031844048873,0.50005773707372614,0.49982295815395456,0.50001282408862024,0.49999178019246432,0.50000168691752755,0.50001046184612408,0.5000226648871231,0.49999659713454958,0.49999105649715353,0.49989545615048403,0.4999718054317614,0.50000516381035565,0.49998225167404203,0.50000883948460728,0.50005894234891868,0.49999156747293938,0.49994910766685963,0.49998069084366636,0.49993580967942586,0.50002129741894008,0.50005555207520358,0.50000875821788249,0.50001596244174118,0.49999117092437156,0.49996722471914518,0.50000134836036914,0.50000977592767759,0.50001071056179591,0.50004546128256455,0.50000410583241006,0.49994556046458916,0.49999132551652115,0.50001417737623366,0.50000069703953409,0.49997725446556185,0.50024994206380669,0.50001449038880408,0.50000157973021286,0.49999072477759243,0.50000323155428528,0.49999333577537897,0.49998656686366938,0.50002530398667056,0.49998380517623725,0.50001041906831611,0.49998569601801224,0.49999842590832028,0.49999515916454385,0.49999094432095764,0.4999981727513147,0.49999830945521734,0.50000864963554958,0.50001189369006027,0.49999106327348636,0.49997807499338642,0.49999140402251152,0.50000747488860653,0.50006594920671588,0.50001388986117279,0.49999349257870801,0.49999724908741028,0.49999645837887696,0.49996765649649139,0.50000730421472561,0.50007177558863647,0.5000165182212567,0.50007397644717599,0.49997182654985473,0.50013019316028717,0.49997162708217963,0.50001037802704451,0.49998968837127739,0.49997240711033597,0.50001012177315152,0.50003816183211647,0.50001214815087702,0.50000312149202697,0.49999509347434545,0.49999425139422959,0.50001019389138301,0.49992710531278728,0.49999914724079703,0.50000291152326692,0.49999713794596506,0.49999439536218176,0.49999302334424361,0.49999801046425707,0.50002405849634868,0.5000298626871954,0.50001219138447495,0.50004464553863359,0.49998092090639545,0.49999230550354379,0.50006361061465054,0.50008824563810528,0.50021363061062174,0.5000343538796429,0.50004564831461717,0.50002711443647163,0.50000831137078861,0.49999039413158525,0.4999898417411166,0.49999829333020834,0.50001336153623133,0.50000823261191341,0.49999406924012557,0.49999771899159307,0.50008888947709351,0.50000685507768516,0.49996600056306661,0.50007761295855768,0.500008421755054,0.50002490455601778,0.50000732004031923,0.49996531320935877,0.49990673368474137,0.49999203956444288,0.50000516744068901,0.49993902023999803,0.49998586274879486,0.50000910824631739,0.50000030755350799,0.49999219777409376,0.49997653012116106,0.49997439750779377,0.49998517757318828,0.50004815857271778,0.49999559087161888,0.49998971874404197,0.49999952761781646,0.4999932466235848,0.49996272888131899,0.49998680771358422,0.50000859086553251,0.50000658702026335,0.50010505005558126,0.49998919998043084,0.49996257418183832,0.49998847514365863,0.50001710275868427,0.50005998653966488,0.49998928672404486,0.4999748812251853,0.49998400289766759,0.5000149568475355,0.49999889706857598,0.50000760114461329,0.50000919957424361,0.50001002502222136,0.49803828153710228,0.50000695744890056,0.50000261701120974,0.49997968595758663,0.50002142387892046,0.50000908043068537,0.49998568596116283,0.50000311637075567,0.49997792049594569,0.49998841862809951,0.49999440950812246,0.50000458813110604,0.49998886396392944,0.49997716216434523,0.49999831910763703,0.49991186155195849,0.50000047345426168,0.50000363324295716,0.50000110630431216,0.49999193413786364,0.49988699753431259,0.49995064430455616,0.49998203151516618,0.49998806336748708,0.49990376322707969,0.50000889288754613,0.50001281514029927,0.5001083857568438,0.49999449011861363,0.50000642132475859,0.500000836695914,0.50000821683148355,0.50001098840943348,0.5000045325053869,0.50000480780946821,0.50013047692735269,0.49998394099363863,0.4999862844196552,0.49999114974345615,0.49999041245087206,0.50005474834677666,0.50003871642600095,0.49997667535904539,0.4999897124654954,0.49999229118410682,0.50003914029091889,0.50001471663182806,0.5000073685271802,0.49989700019110594,0.49998222909296552,0.49999822249440207,0.50001472983823181,0.49998453709009216,0.50001274488951164,0.50002554300927082,0.49999076440521217,0.49998534755929808,0.49999529279002997,0.50001327456195721,0.50005609934818507,0.49999776743078783,0.49999634551589012,0.49999242145176992,0.49998300826066633,0.49999118629467454,0.49999493959991514,0.50157115707117095,0.49998019489404166,0.50000472095474247,0.49999445785741564,0.50016077017802796,0.49993518941419385,0.50004663464703991,0.49999242515977321,0.4999987909534081,0.50001272182647338,0.50000438790284629,0.4999743679167627,0.50002901825982204,0.50002301841325492,0.4999090132551674,0.49999493404765988,0.49998080377921289,0.50000355701357402,0.49998220812128946,0.50000562602086185,0.50000883854687761,0.49998477399619079,0.500014291495119,0.49997997190708682,0.5000124571451664,0.49998938083485733,0.49999657565689465,0.49999883955063584,0.49999606987063339,0.49994834561828494,0.5000003637881707,0.49998760006045495,0.49998940558240135,0.50001142296857737,0.50006833504389736,0.50000602883033851,0.50009369518331315,0.49998654463439024,0.50001411380555505,0.50004927138440225,0.50000251583179645,0.49998895116636688,0.50001073996632883,0.50000737029398035,0.49994463767300412,0.49999161916502788,0.49998956941379163,0.49999135565512154,0.50001884217033421,0.50012884108596944,0.50001463984629502,0.50002217280098604,0.50000508272857191,0.49995584691212358,0.5000079738614045,0.49997996707258774,0.50000919466704385,0.4999893192190511,0.49999338917793401,0.49998229421064433,0.49999187285078617,0.49998903238756748,0.49993977683407115,0.50000692860212581,0.50001473294850118,0.50062448875126409,0.49995824723921328,0.50000894119880646,0.4999823469992275,0.50291029447357094,0.49992022922881102,0.49999193166585598,0.50000109275464533,0.5000064395471473,0.50000027577093109,0.49997283158133826,0.50014588125308168,0.4999893701433421,0.49998832149257072,0.4999857540034337,0.50002099973883607,0.49997548265628228,0.4999831331398617,0.49995893919612905,0.50000837584988145,0.50000352176530216,0.49999142752824033,0.50001204436404068,0.50003532757568481,0.49998952277025477,0.5000103812834219,0.4999797888918926,0.49997577623477096,0.49999412999161913,0.49998666600358088,0.49997584272344547,0.50000555333673724,0.50004748456721526,0.49999199759405633,0.5000386427256952,0.50002039823573496,0.50001449360223249,0.49999813101591833,0.49998755119064697,0.50001179795518258,0.50000961578185787,0.50000956979450906,0.50002119465926653,0.49998511119438671,0.49999841179905891,0.49999471586912658,0.50002954812567579,0.49996183192257332,0.4999517498682447,0.49999195336634661,0.50013437644628744,0.50000584171964191,0.500001463659976,0.49998788057480825,0.50002315820593535,0.50000400385381749,0.49998659210847274,0.49999057789368079,0.50005666565162621,0.49998163443958127,0.5000033076975321,0.50000635026017504,0.50000652074135676,0.50000679678305626,0.4999971002365014,0.49961211140522349,0.49999764805975,0.49997611333011688,0.49999243530234022,0.50000424848234859,0.50000484146974911,0.4999817809087253,0.49999158497446694,0.49993667551306242,0.49999366775095988,0.50001659718660452,0.50018364390933889,0.50001588858095758,0.5000062616383748,0.49999750531098563,0.49998542885185665,0.50000528210862483,0.49999076651024055,0.4999970288444851,0.50000128488227469,0.49993439242222421,0.50000772349362577,0.49998335175747449,0.50000092205240076,0.49999259264650997,0.50005116600669641,0.4999875703410438,0.50005887808622229,0.50000240127770601,0.50000207335417379,0.49999011356020701,0.50000082639883769,0.5000327100992874,0.50000434002898209,0.50013039914662749,0.4999906587047877,0.49999943430992755,0.50001880445951608,0.49999100356624399,0.499999108976171,0.50000423171237518,0.49997257029351999,0.49999891632726556,0.49998629150067131,0.50000359279188988,0.49999042961038698,0.49995075772363551,0.49999524101652371,0.4999853762918095,0.50000357367621961,0.50001717129284151,0.49971033627327821,0.50001640974815798,0.49999476750587446,0.49999244235642798,0.50001515061582147,0.49999953628052868,0.49998903762373548,0.49995282954039683,0.50007085266234064,0.49997823291240079,0.5000078554063595,0.49998782570478645,0.50000960071761469,0.50001003631337559,0.49999240138566609,0.50000844983922799,0.50003112929119842,0.50006210881700863,0.49999372812543147,0.50002471310902652,0.49992694729069581,0.49999238090784853,0.49996633304925286,0.50000697512086822,0.50001104288863674,0.49999459209810321,0.50001846253641369,0.49998005471820262,0.50006478668209897,0.50001596042155139,0.50000664586557497,0.49998414122865503,0.50000641023427628,0.49999882350884373,0.50002187699690226,0.50001585472297305,0.49998632884883737,0.50000765894666022,0.50001865049939209,0.499993619873076,0.50001270682013155,0.50000034627628243,0.49999708244927338,0.50001032877946261,0.49998081393302318,0.49981521411288193,0.49997866889644327,0.50001108562742169,0.50005509805249959,0.50000601039692971,0.50000953452862684,0.49998879197990648,0.50000031056969463,0.49999425318331281,0.49999572337176373,0.50000029100539234,0.49977448028127269,0.49999340485094262,0.50003055050689216,0.5000303576656463,0.49999836321436875,0.49997400293859151,0.50000406522613516,0.4999761227268153,0.49915053011405636,0.49999117819912248,0.50016247091716781,0.5000443332578085,0.50000011549998979,0.49998426684024133,0.50005176975463839,0.49995182182528114,0.49998791992738617,0.49998871320867183,0.50001848798918769,0.49999835297080403,0.49998338287044503,0.49998827873145035,0.5000001786409165,0.50002645648041177,0.49994360783809089,0.49999598856827721,0.50000425884533028,0.49998644389189312,0.4999957114055868,0.5000097159797332,0.50006410515378796,0.49998889683572489,0.50006469553457311,0.50000147234778902,0.50000747732646644,0.50026274482956057,0.50001415918492653,0.50000117631997787,0.49987736688075129,0.50000969225866876,0.49997744368797314,0.50001065536990041,0.50002294948831538,0.50002859901254049,0.49987845933163372,0.50005026912834216,0.50001501997786013,0.49999400562698704,0.49998930258475333,0.50001742173489638,0.500057706959249,0.50001604270820244,0.49999651071351886,0.50001840626586191,0.49998615114805423,0.49998218362636082,0.49998601395173203,0.49999018469934958,0.50001911978671243,0.49998272974765673,0.49999540042130391,0.49996366583837148,0.50003560529968516,0.50002618774268026,0.50001592539882322,0.50000597749620035,0.49943544574365528,0.4999978247160502,0.49999651086584512,0.49996370704124288,0.4999903626689105,0.50000613211324607,0.50002360057274076,0.50001650430420241,0.49999520003650555,0.49999035256477714,0.50000237517882506,0.49998765982361937,0.50003004652248284,0.49992999234335034,0.50000949169714071,0.49999106390730141,0.50000393520130293,0.50085141467221039,0.49999136257846866,0.49996600335867414,0.5002423549884023,0.49998994107129113,0.49999533925828371,0.49998819630392499,0.5000131084666507,0.50131230412103367,0.50000426612575999,0.50001044094179969,0.49993715689321055,0.5000329838973584,0.49999048600657892,0.50000765731588903,0.49999628980565758,0.49999930843548368,0.49998649753912766,0.50000749165987846,0.49914745526357757,0.49997160066721708,0.50001896908469567,0.4999931099826167,0.50000209666532947,0.50000504303156679,0.50000877824765788,0.50001587593373731,0.50001218513565127,0.50001309819420092,0.49999737145739903,0.50028848908896462,0.49997156065332787,0.49995394345493849,0.49998559913864349,0.49999267359318489,0.49996388153989502,0.49994475243977504,0.50001245760935054,0.5000017328883245,0.49998080364410352,0.50001835088919522,0.49998070361763247,0.49998759702267087,0.49998442744396093,0.50002193590748889,0.50001261226391247,0.49997899070240187,0.49999473863517491,0.50000891499880384,0.50002005385666093,0.50000883834741616,0.50001512310663832,0.49992471330750821,0.499991070512602,0.50001641337125857,0.49998599519642511,0.50000806732354008,0.49999548360523832,0.500008719758954,0.49997690534068623,0.50001429738130265,0.4999836424903909,0.49998056327973794,0.50000435183116254,0.49999191737208859,0.49998407485587559,0.50000086681641465,0.49999097283637806,0.49998403570208183,0.50003103350257005,0.50002729948434033,0.49999014406835007,0.50000533295932437,0.50001947745129582,0.49993728970096185,0.50002432009208075,0.50002829320320008,0.50000751538818999,0.49998278406760749,0.5000013026221114,0.50000821981049659,0.50000760641587982,0.499982938058676,0.49973784604468352,0.50001299680413891,0.5000039365545309,0.50001859917415137,0.50004012226859762,0.4999664101352253,0.50000564165938011,0.50001415938213978,0.50001513324507385,0.49998433016515015,0.50005198986629684,0.49998684000224214,0.50000999000437008,0.50004045075636427,0.49999087526028729,0.49999574859102619,0.50001345561092403,0.49998811408684418,0.50003965122922345,0.50011954000857961,0.50001502566918821,0.50002255479561086,0.50000996045499579,0.49999122490739706,0.50001740425852614,0.49998594594796586,0.49999260949911967,0.50000961523925846,0.4999516888259633,0.50000833620696838,0.50000903873297786,0.50000715782258653,0.50001081917904466,0.49998739786656188,0.50001682812951143,0.50017402163943536,0.49999066556324534,0.50000005970492201,0.50001083185199513,0.50000923936282582,0.49995025367037704,0.50009798187800147,0.49999829285628,0.49998325000615401,0.49997959539709441],"C":[0.50000970910516362,0.49988502956663045,0.49999933013135317,0.50001002118067517,0.4999797928427685,0.50002823348250958,0.49997613912059385,0.50000795207545234,0.49998980375682284,0.49998902847064375,0.50000818539717695,0.50001208098281358,0.50001626736923044,0.50001403932043231,0.49999043068410004,0.49999637881252701,0.50000667683241717,0.50001767857853607,0.50000219439159999,0.50001686720931515,0.50002312817158912,0.50054188819393919,0.50001233424206681,0.49999104830231172,0.49999259031169763,0.49998865930189212,0.49998646040699962,0.49998518215825793,0.49999404257852625,0.50000966940052349,0.50005889120650426,0.5000164494464705,0.49998221824369282,0.4999823742292262,0.49999491235228766,0.49998651164447161,0.50005709135178578,0.49999699795614089,0.49999214498233319,0.50002415276853007,0.49999274672832139,0.50017636256681408,0.50000113620602249,0.50000609819391006,0.5000111267900903,0.50002068938949173,0.49999664835391822,0.49997818545241485,0.49998895306745184,0.49981521629590403,0.49998774320603562,0.49997491256267607,0.5000009174233645,0.49999979774592279,0.49998843428668355,0.49999394691385063,0.49998045352539433,0.49997438560158242,0.50001301256805608,0.49998969900718981,0.49999662045831766,0.50000066857133496,0.49999158287816614,0.50010590164064939,0.50002234992137984,0.49999428817232083,0.50001657501025187,0.50003800791302566,0.5000111366278448,0.50000220619192592,0.50001014827034085,0.50001817438814533,0.49999515160171837,0.49999575621496939,0.50000068512586404,0.49999104898220664,0.49980598144510824,0.50001067852616909,0.49999552191152669,0.50001157596746093,0.49998956304807279,0.4999846534640881,0.50001057246512182,0.50001190533932793,0.50000736864732431,0.49999863082399293,0.5000087569340953,0.50000223024721702,0.49999111479746189,0.5000063802171909,0.4999917984309854,0.5000288346135352,0.50001347950794595,0.49999769652874043,0.4999875659485763,0.50000960101559866,0.49999355115480931,0.50001153218346694,0.50000964821559668,0.49996849263308868,0.49999404812896142,0.49999622435141289,0.5002843560323923,0.50001590947584518,0.49999366961995939,0.50000841759314496,0.5000154659048146,0.49998825832659849,0.49998198253108239,0.49998582978329531,0.49997601339345227,0.50001026643899404,0.49998432693943096,0.49984223922776011,0.49999517312986635,0.4999821160473335,0.49999932276602393,0.50000925710725674,0.50000528005251976,0.49990730178525294,0.50000656003672517,0.50001693206705011,0.49998903025753327,0.50003412398599734,0.50001018654541041,0.50000813695607726,0.49972746228078652,0.49998936717443582,0.50000793822741496,0.50034700729512804,0.49998458342149044,0.50001288207773631,0.4999968352278103,0.50001943273172034,0.50001488628928503,0.49998402068748415,0.49998813170107531,0.50000364091474436,0.50000855885078088,0.50000337453747745,0.49999201950530464,0.49998894519269993,0.49999299624153559,0.49997594896571662,0.50115488946988185,0.50000146209806606,0.49999452580658266,0.4999903686695884,0.50004005689047426,0.49999066003573772,0.49999555573408605,0.49999057961054683,0.49994640235330978,0.50001220501684285,0.49999720971983863,0.50000910265055354,0.49997913417130163,0.49999356277396206,0.50000078495889189,0.50003513016311663,0.49999126939144828,0.49998789443940717,0.50000499357699224,0.50002011114362255,0.49999361426791289,0.50003174299953945,0.49999062499786318,0.50002043442858035,0.50000026696002109,0.49998873956929257,0.49979909258243971,0.49993357749709977,0.50000923276634746,0.49996979687243953,0.50014399895536299,0.4999641901243011,0.50000756140254932,0.49996540583006316,0.50000313222340631,0.5000240239724576,0.50002375738847316,0.50002202275914986,0.49978317617207985,0.4999968630983353,0.4999690791730213,0.49998773720556128,0.49997396814782502,0.50000900275203575,0.49989551129213255,0.50000375794901419,0.50001874334492535,0.49999116915602621,0.50000989015379971,0.49999709187914848,0.50001161197522814,0.49999577308193227,0.50001464228124681,0.50028133333813851,0.49998623236301887,0.50001612682856045,0.49999147755139056,0.49999482320184535,0.50001275696402403,0.4999909670739498,0.49998094021719203,0.49999019367036246,0.50062270254601327,0.49995969225526293,0.49999293520516369,0.49997267996139899,0.50001677874214712,0.49999130985645501,0.49998441922471648,0.49998670650837401,0.49999175832404397,0.49995810683150266,0.50001143629031131,0.49999058987859901,0.50000576611945569,0.5000050547762015,0.50004809596015176,0.49999424061076198,0.50004173783518369,0.50000891960325278,0.50004740693663396,0.50018485582565797,0.49997628589322562,0.49999573568196937,0.50002260079610927,0.49999992589443182,0.49998613255459395,0.50001304091968979,0.49999054748835375,0.4999799314026227,0.50000933049716878,0.50002380675408586,0.49998925564708485,0.50001189123062806,0.50000835658490594,0.4999939782234909,0.49999250941883383,0.50001081997141061,0.50000779109233595,0.50002377959522337,0.50000733800202068,0.50001285426406861,0.50008291228359625,0.49986641351134331,0.49998755774098197,0.50004303933389693,0.49998692474821738,0.49998497218845023,0.49997380596681512,0.49999851107005611,0.500007578049951,0.50001298268018723,0.50057283506787631,0.5000020291641013,0.49999261971404763,0.49998805664960866,0.49999024110230716,0.49996232890406905,0.50002871143537819,0.50004538726925196,0.49999316683141698,0.50000791904808528,0.50000212890277118,0.5000207526057513,0.50000686767116453,0.50000852149365516,0.49999132569306981,0.49999928612074229,0.49999076135214571,0.49999634077087096,0.50002288938973682,0.50000807831463145,0.50000986746870668,0.49995717661572481,0.50000312377026235,0.50003006993925103,0.50001801917600197,0.49998924128769789,0.49998180252704766,0.50001298363391689,0.49998338504885831,0.50000681487564858,0.50000908947725509,0.49998647345334046,0.49998258157770614,0.49998261819630796,0.49998838069297513,0.50001340374914682,0.50000578124414252,0.50000180412034789,0.5000094703657062,0.50004700770259947,0.49998822557406286,0.50001535437771394,0.4999912306158521,0.50000762979659075,0.50001697791023625,0.49998969025481216,0.50000636691497513,0.49999526421732549,0.50001102257494312,0.50000865577573184,0.4999908200277296,0.50006320114486846,0.50006237485987404,0.50000157437395243,0.50001000716498079,0.5000108105195501,0.50000903346956638,0.5000220873777681,0.50000290791835633,0.49994325854661054,0.50002745931009684,0.49997937879164084,0.500319083762645,0.50003768686000571,0.50001056204581562,0.50001181117257809,0.49993824587372487,0.50001039612503939,0.50000819652481343,0.49998603742026326,0.49998954530399858,0.49999805892511662,0.49998623209558013,0.50012816429168006,0.49998479348016484,0.50000438924063462,0.49998470672535922,0.50001758376602812,0.50000999686045799,0.49999941056104202,0.49999063692958395,0.49997456303625076,0.49995686618188506,0.49999612525699177,0.49998763787099731,0.50001300324376374,0.49998783330613017,0.4999909661946198,0.49999128085962646,0.50000397467677993,0.49997465558022569,0.50004071929853333,0.49999131894975368,0.50000056997986309,0.50000168691507019,0.50006459535896397,0.49998835393995278,0.49995395369378914,0.50000430735329315,0.49997184966495639,0.49999629582016963,0.50002993165027576,0.49999038890937086,0.50001261487889137,0.50000921797941988,0.50000485077474,0.49998191906564404,0.49998852439095165,0.49999739579111702,0.49999853674070643,0.49996359921340755,0.49999250423001029,0.49998957009988088,0.4999980680840595,0.50001766552909599,0.50008338688642417,0.50005499849012702,0.49997969024762501,0.49998915488942858,0.50000143753385173,0.49997949510781614,0.50000640412568553,0.50002919363915144,0.50002386859055903,0.49998652798430188,0.49999733756558007,0.49994206120316176,0.49998544008731771,0.49998633548229676,0.5000055054806708,0.49998749678416421,0.50001654208128765,0.50000586638594402,0.50000536691550446,0.50001276311656917,0.50000436086768518,0.49999251717444176,0.49995685856603411,0.50000521933807585,0.49999346270484807,0.49998647083930753,0.4999880589032088,0.49998630504191532,0.5000012783277934,0.49999154867774898,0.50000271923556827,0.49998492392515209,0.49985791015973036,0.50006248938488718,0.50011358426520891,0.49995697962605096,0.49999688436844364,0.49997746650886704,0.49998695092814976,0.49999857770912548,0.49999800082239149,0.50006388542185076,0.50001660772599954,0.50003217447283643,0.49997199435851047,0.50002827165228647,0.50002287194846629,0.50001679290634859,0.50005771772835905,0.50000830348264846,0.49999116533872678,0.50000644078802847,0.49998765371418924,0.49998619627022267,0.49997695286502036,0.49999565690817022,0.50002681937615678,0.50003837762260206,0.49999040112681753,0.50004176345052154,0.49994987632737886,0.49997839648815962,0.50005690385919488,0.50000373295199929,0.49997563942356932,0.49999416156710397,0.49999710320384577,0.49997239786142017,0.50002318462333162,0.50001196012873639,0.49995844927691879,0.49998851716909365,0.49998774219491654,0.49983588010235525,0.49999106115089909,0.50001573821434164,0.50053893509934888,0.49999509098439138,0.50002630487988364,0.49999044739708565,0.50003048975204933,0.5000923428581654,0.49999425608231052,0.50001239559497845,0.50013860387796982,0.50000521539342324,0.5000012014518137,0.49999078233240701,0.50000579557989067,0.50000407175987682,0.49999281413439056,0.50000576473704661,0.4999949901830909,0.49999224859148228,0.50005116150613071,0.49998806357558112,0.50000553692383698,0.50003730859703488,0.50000203621169637,0.49999022430348994,0.50000638414949783,0.50004572776962175,0.49999761018631977,0.49997591630873811,0.50001557570508504,0.50000256191090375,0.50002318133935786,0.49998648273930174,0.49999931930914887,0.50001571528776667,0.49998201322967295,0.50001362712547126,0.50000910003064469,0.49999986008293784,0.49999517460638493,0.499117333131464,0.49999290535684515,0.50001678244153724,0.50000187664443885,0.50000410551692498,0.49999052933620292,0.49999292696611941,0.49998658113468347,0.49999550444509644,0.50001396096727335,0.50000726344708735,0.49998981038100715,0.50000144864998053,0.49997702091009116,0.50001093460021018,0.50003611203510523,0.50001297330826844,0.49998526553029232,0.49999059177196858,0.4999729131860739,0.50008050123619541,0.50003377205268174,0.50000235183544539,0.50000057894979744,0.49930344205787747,0.49999281160055598,0.4999949015181947,0.49993120609035369,0.50001293383949108,0.49998934297604669,0.49998262259131626,0.49999731877819914,0.49999780597765525,0.4999859445227316,0.50001004291196804,0.4997142603251381,0.50002280991046821,0.49998772859906998,0.50000133234562572,0.49998164634460951,0.50000273366200776,0.50000997498707433,0.50000132176432299,0.50000057684659882,0.50001224570974689,0.50002397044474578,0.50000179326902017,0.50000751583854108,0.50011362677680471,0.49999533997996232,0.49998899050043349,0.49998401608501702,0.50001230531832863,0.49997702281758849,0.50001335699230554,0.50000199970456527,0.50002428062226478,0.49998386076671403,0.49999566033058801,0.49999573571801265,0.4999660191976113,0.49999162590124013,0.49999562810378378,0.50000157098516962,0.50000368102536097,0.49998323621746438,0.49932553651174011,0.500023854509409,0.49999279928783913,0.49999225356746396,0.50026691839792736,0.49983959410161249,0.49986656992579409,0.5000057980511694,0.5000549210969335,0.5000097921011909,0.49999195380424161,0.50001114601721863,0.49999566224162079,0.50000409551693814,0.49999140591494651,0.49999260636864973,0.50000165458427159,0.50001254105704873,0.49999277253344704,0.50001360405427497,0.49999793797874498,0.49999335787525934,0.4999907620687517,0.50001139643824799,0.49999892833820686,0.50001190210393631,0.49997984999543027,0.49981666913665712,0.50000995629568967,0.4999341468977998,0.50000896965061181,0.50000809348269071,0.50000673284821395,0.50000699779321367,0.49996346649175877,0.49999135277903928,0.50009956537019284,0.50000162530055536,0.49999165104544496,0.4999885275264484,0.49997724806289706,0.49999658906786765,0.49999238515116379,0.49998949569869572,0.49995212576233455,0.50000805957723971,0.5000098390199148,0.50000326451584931,0.50003509185853146,0.49995903374754425,0.5000024093978247,0.49999188108676845,0.50000729675985067,0.49998028095235053,0.50000693913352379,0.50002532256868959,0.50000247279506693,0.4999891433883768,0.49983084359388863,0.49999769077587464,0.50000304964409692,0.49999444573872637,0.49996153662583959,0.50000799298745247,0.50000958929627215,0.4982919587989188,0.49998996132317963,0.49988257338820674,0.5000105353432891,0.49872891901886907,0.50000478238860224,0.49999635802538928,0.49997985657195326,0.49998710398396623,0.49999060708484222,0.50000101315977652,0.49980171284743968,0.50000127356205071,0.50000778122010581,0.49996533197527976,0.49999689735712655,0.49997937006425663,0.50000703079687259,0.4999906864354145,0.50002095880319464,0.50001283704111654,0.50000165183424816,0.499991670891136,0.50000258217438875,0.50001702356189437,0.49999314709337583,0.50003440798318366,0.50002043006027808,0.49999314063828365,0.50035367882329473,0.49999818286956987,0.49998298377097067,0.49995806650303792,0.50000961565334301,0.5000007703361472,0.50002314640939716,0.4999398543008341,0.49998497606427539,0.49999806365851601,0.49999791626555457,0.5000070931915066,0.49999464725289117,0.50002519260533695,0.49998450852297688,0.49999151357001742,0.50005439565355858,0.50003165235972691,0.49993976972997572,0.50002502135917049,0.50000645855669579,0.50001278819008621,0.49996966922130515,0.50001380510750126,0.50000828503141193,0.50000751019959366,0.50000808906800198,0.4999802268016732,0.50001465470148088,0.5000117775843711,0.5000258447721988,0.499983848221564,0.49998655640171652,0.49999245572085915,0.50002729224620768,0.50000854862723376,0.49956027924102597,0.50000972516514652,0.50002951057563261,0.50000572476384531,0.50003306234984457,0.49999234387145391,0.49996953673458994,0.49999549808634358,0.50003606398528855,0.50002243806465885,0.50000171189583464,0.50040391536648221,0.50001339349096718,0.50002538169220168,0.50003033247832129,0.50000221224472641,0.49999102541485591,0.50000062376046106,0.50000870393782004,0.49999021925620252,0.49995994586742171,0.50000534278968811,0.50000017579245182,0.50001002786757276,0.50006298641857738,0.50003524530854149,0.50000525058663692,0.49999838492599502,0.5000119553461424,0.50001353555925254,0.49999979941399358,0.50000989640377558,0.50000043041338993,0.50001338143272933,0.49970908974281086,0.50001332111833263,0.49999104014132134,0.49998617581890964,0.49999796564284493,0.49998440531819854,0.50000788143135,0.49999093526913163,0.49998826291527748,0.49999422259958481,0.49998152740316515,0.50004445289759292,0.49999437138175967,0.50001008646095291,0.4999951038823468,0.4999847515292597,0.49998100142440899,0.50008400966853706,0.49999291520284711,0.49999002298321588,0.50000461632147863,0.50000915000414847,0.50001033429592023,0.50000034049282727,0.49996031316446227,0.49973924516809759,0.49999137185921849,0.50000623364604269,0.49997974891917113,0.49999317521155817,0.49999130452132501,0.50002461080336713,0.49997673563256489,0.49998273157744966,0.50000722289472155,0.50000854022835306,0.49999906307481357,0.50003875336824122,0.49999437066919866,0.50002792260215922,0.49998512230572867,0.49996493977528361,0.50001576187876107,0.49996256210351242,0.50004193149920551,0.49989251561793835,0.50000620025445153,0.50000572853428837,0.49999363321473594,0.50001496906784537,0.50002421361457905,0.49999141764391763,0.49997914851316561,0.49997228724195503,0.50001174574483132,0.50000359665965788,0.50000584713111662,0.50001174344408417,0.500009879668178,0.50000875353078944,0.49999843284211254,0.49999845052867165,0.50009528635102829,0.49997666629986232,0.4999950128312568,0.50001224663206878,0.50000667076846472,0.49999721364058336,0.49999151841360973,0.49999081396125078,0.49999116636815577,0.49999166303288795,0.50000906412190127,0.49996104741928804,0.50002144114758262,0.49996124045968893,0.49999227993938006,0.49996998616490301,0.49998572697108712,0.50001526625376747,0.5000281129872759,0.4983643569717372,0.49994010737825212,0.50019152199329431,0.50006326073024743,0.50001397882994369,0.50004028555834967,0.50002169702607779,0.49997652369899054,0.50000721830075368,0.499989176269513,0.50001269000696347,0.49998564899906445,0.49999089568387395,0.49999576717268651,0.50001178112543021,0.4999909147109749,0.50001912906948831,0.50000870263504626,0.49992165621392509,0.50000143220411397,0.49999221395138038,0.49998948974204566,0.49999948275209521,0.49999202595786491,0.49998682245406434,0.50000916607737977,0.49999391360604029,0.49996434980429499,0.49999983921766195,0.50001250368263561,0.50016776628360071,0.50001052043374461,0.50002887908222771,0.50000038073240571,0.4999546955888759,0.50000041625093761,0.49999990530794003,0.49998324057184201,0.50000937930663736,0.50000872379892569,0.49999337157427159,0.49999969537054267,0.50001615754992768,0.50000247066423609,0.49999117974951668,0.49999288099242756,0.50003432319707208,0.49999611790415044,0.49996864914697575,0.50000403472953925,0.49996611231080712,0.50002396817895456,0.50001233657930655,0.49998135760275952,0.5000126753708426,0.4999934901202075,0.49990961954381163,0.50002247911519104,0.50058504639576173,0.49999040941173833,0.49999064385002034,0.49997706069078168,0.50000786602080571,0.49998378842774199,0.50002328614474767,0.50000097814171474,0.50000771707647007,0.499922376783838,0.50003030379900404,0.49999120033525019,0.49996955137571403,0.50002445981118115,0.50000098932682058,0.49999524631614567,0.49998648399602585,0.50028825544628697,0.49999421807766403,0.49998312289550911,0.50030101617934442,0.50000066421305345,0.50000846880129446,0.49999369567625634,0.50000272511079358,0.49994058306117561,0.50000897613133855,0.49996533571633606,0.5000631277617148,0.4999904565349208,0.50000305216630236,0.49998250449597759,0.50001613744088036,0.49998557140662597,0.49998859657729833,0.50000860157821303,0.50061731611133908,0.4999835939656172,0.49995259294721933,0.49999290020196285,0.50001537614041514,0.49999088212641873,0.50000090976006395,0.50000594625582861,0.49999740185160907,0.4999954123900423,0.49998781087653171,0.49992773677781305,0.50001359551159807,0.5000085745719548,0.50001441905480082,0.4999953797929968,0.5000046790241256,0.49997297313551897,0.49998390917225893,0.49995570079975427,0.49992001825315435,0.49998286008960297,0.49999507368422602,0.50000243318653925,0.49998983067616914,0.50001665183195532,0.49999494148370405,0.49999346593862343,0.5000100569046364,0.50001574941637073,0.49999686718274872,0.50001002314278054,0.50000124127487666,0.50009231014936473,0.499982304727774,0.50000839383532136,0.50000263532959932,0.49998861348111606,0.50001749108129556,0.50000153880345266,0.50002874553958987,0.50005407185084805,0.49999673280842455,0.50000427277139414,0.50000764293228528,0.49999681395645496,0.50001235926437282,0.49998950474255832,0.50000912557990573,0.49999846895604111,0.5000301014268409,0.49999293910137849,0.49999512219957454,0.50000746354114189,0.50003914110755121,0.50025391990020129,0.49994707246653253,0.50000107662326509,0.49999094543761879,0.50001912675427584,0.50001754760683825,0.49999711243588379,0.4999917138831928,0.50000899312423763,0.4999017422872577,0.49999901177143763,0.50001248175491786,0.49995273921955757,0.50006545470395902,0.49999271864894812,0.50000950620533913,0.50000803440107555,0.50001201703910148,0.50000438361114374,0.50001805637941499,0.50000088347228844,0.49998953571262128,0.49995692739673064,0.49999520983438406,0.49999158093161883,0.49999524794657912,0.49999744821689401,0.49998421570501839,0.49994832087638219,0.49999084083651252,0.49999952700500472,0.50000718524785193,0.50000518900019442,0.50001168673419349,0.49996916435337074,0.50000605896661554,0.50003485478832588,0.499994561060428,0.49999247898779992,0.50000225760663664,0.49999222425100187,0.4999890816396883,0.49999071841595222,0.50000533507528855,0.50009140422564002,0.50001315149945802,0.500010994548726,0.50000960813912287,0.50000173752548105,0.5000200229238756,0.4998080761719853,0.50001184652970931,0.49999853386562715,0.49999474222445767]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/runner.c b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/runner.c deleted file mode 100644 index ad4aee0c47bc..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/runner.c +++ /dev/null @@ -1,196 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2018 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -/** -* Generate Cephes test fixtures. -* -* ## Notes -* -* - Run this script from the directory in which fixtures should be written. -* -*/ - -#include -#include - -/** -* Define prototypes for external functions. -*/ -extern double fresnl( double x, double *s, double *C ); - -/** -* Generates a random number on the interval [0,1]. -* -* @return random number -*/ -double rand_double() { - int r = rand(); - return (double)r / ( (double)RAND_MAX + 1.0 ); -} - -/** -* Generates an array of pseudorandom doubles drawn from a uniform distribution. -* -* @param out output array -* @param len array length -* @param a lower bound (inclusive) -* @param b upper bound (exclusive) -*/ -void rand_array_f64( double *out, const unsigned int len, const double a, const double b ) { - unsigned int i; - double delta; - - delta = b - a; - - for ( i = 0; i < len; i++ ) { - out[ i ] = a + ( rand_double()*delta ); - } -} - -/** -* Writes an array of doubles to a file as a series of comma-separated values. -* -* @param f file to write to -* @param x array of doubles -* @param len array length -*/ -void write_array_f64( FILE *f, const double *x, const unsigned int len ) { - unsigned int i; - - for ( i = 0; i < len; i++ ) { - fprintf( f, "%.17g", x[ i ] ); - if ( i < len-1 ) { - fprintf( f, "," ); - } - } -} - -/** -* Writes a named array of doubles to a file as JSON. -* -* @param f file to write to -* @param name array name -* @param x data -* @param len array length -*/ -void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) { - fprintf( f, "\"%s\":[", name ); - write_array_f64( f, x, len ); - fprintf( f, "]" ); -} - -/** -* Writes data to a file as JSON. -* -* @param f file to write to -* @param x domain -* @param S S(x) -* @param C C(x) -* @param len array length -*/ -void write_data_as_json( FILE *f, const double *x, const double *S, const double *C, const unsigned int len ) { - fprintf( f, "{" ); - write_named_array_f64( f, "x", x, len ); - fprintf( f, "," ); - write_named_array_f64( f, "S", S, len ); - fprintf( f, "," ); - write_named_array_f64( f, "C", C, len ); - fprintf( f, "}" ); -} - -/** -* Generates test fixtures. -* -* @param x domain -* @param len number of values in the domain -* @param name output filename -*/ -void generate( double *x, const unsigned int len, const char *name ) { - unsigned int i; - double *S; - double *C; - FILE *f; - - // Allocate an output array: - S = (double*) malloc( len * sizeof(double) ); - if ( S == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - C = (double*) malloc( len * sizeof(double) ); - if ( C == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - for ( i = 0; i < len; i++ ) { - fresnl( x[i], S + i, C + i ); - } - // Open a new file: - f = fopen( name, "w" ); - if ( f == NULL ) { - printf( "Error opening file.\n" ); - exit( 1 ); - } - // Write data as JSON: - write_data_as_json( f, x, S, C, len ); - - // Close the file: - fclose( f ); - - // Free allocated memory: - free( S ); - free( C ); -} - -/** -* Main execution sequence. -*/ -int main( void ) { - unsigned int len; - double *x; - - // Define the array length: - len = 1000; - - // Allocate an array: - x = (double*) malloc( len * sizeof(double) ); - if ( x == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - rand_array_f64( x, len, 0.0, 10.0 ); - generate( x, len, "small.json" ); - - rand_array_f64( x, len, 10.0, 100.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 100.0, 36973.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 40000.0, 60000.0 ); - generate( x, len, "huge.json" ); - - // Free allocated memory: - free( x ); - - return 0; -} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/small.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/small.json deleted file mode 100644 index 6caba958d4f8..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/c/cephes/small.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[7.8263692557811737e-05,1.3153778808191419,7.5560532184317708,4.5865013170987368,5.3276723716408014,2.1895918622612953,0.47044616192579269,6.7886471655219793,6.7929640552029014,9.3469289550557733,3.8350207731127739,5.1941637182608247,8.3096534572541714,0.34572110511362553,0.53461635019630194,5.2970019308850169,6.71149383764714,0.07698186207562685,3.8341565057635307,0.66842237487435341,4.1748597426339984,6.8677271204069257,5.8897664258256555,9.30436494294554,8.4616689011454582,5.2692877734079957,0.91964890714734793,6.5391896199434996,4.1599935665726662,7.0119059411808848,9.1032083006575704,7.6219803933054209,2.6245299354195595,0.47464513685554266,7.3608188424259424,3.2823422597721219,6.3263856759294868,7.5641048559919,9.9103738507255912,3.6533867055550218,2.4703888548538089,9.8255028575658798,7.2266040043905377,7.5335583463311195,6.5151857445016503,0.72685882914811373,6.3163471780717373,8.8470712816342711,2.7270996663719416,4.3641140544787049,7.6649477751925588,4.7773176478222013,2.3777443356812,2.7490684017539024,3.5926497913897038,1.6650720033794641,4.8651738278567791,8.976562861353159,9.0920810122042894,0.60564327519387007,9.046530919149518,5.0452289450913668,5.1629196340218186,3.190329410135746,9.8664211155846715,4.9397668475285172,2.66144507098943,0.90732894837856293,9.4776424951851368,0.73749075178056955,5.0070709455758333,3.8414214784279466,2.7708180015906692,9.1381744155660272,5.2974739344790578,4.6444582473486662,9.4097995338961482,0.50083983689546585,7.6151426183059812,7.7020454639568925,8.278172998689115,1.2536537554115057,0.15867701265960932,6.8845530087128282,8.6824713135138154,6.2954341759905219,7.3622451396659017,7.2541199810802937,9.9945787852630019,8.8857221323996782,2.3319487832486629,3.0632183095440269,3.5101524787023664,5.1327370200306177,5.9111358225345612,8.4598155971616507,4.1208077035844326,8.4151063906028867,2.6931727211922407,4.153946153819561,5.3730397531762719,4.6791736828163266,2.8721237136051059,1.7832770384848118,1.5371997701004148,5.7165481057018042,8.0240572663024068,0.33053754363209009,5.3444984089583158,4.9848011881113052,9.5536075951531529,7.4829265056177974,5.5458384798839688,8.9073748094961047,6.2484929105266929,8.4203961212188005,1.5976752247661352,2.1275151474401355,7.1470996737480164,1.3042726181447506,0.90990336611866951,2.7458814764395356,0.029996009543538094,4.1429326310753822,0.26876290794461966,7.0981959253549576,9.3789729895070195,2.3991080466657877,1.808959087356925,3.1753953639417887,8.8699066173285246,6.5205868566408753,1.5033505950123072,6.8134621344506741,3.8581470353528857,3.8772533694282174,4.9974103225395083,1.4753300324082375,5.8718662289902568,8.4557565907016397,5.9010860975831747,9.5540882600471377,5.5614613834768534,1.4815156208351254,9.8330509662628174,4.0876669343560934,1.4181977137923241,5.6489868042990565,2.5212640641257167,4.885145490989089,4.6403052844107151,9.6109514031559229,1.2603080598637462,1.997571992687881,3.1924967374652624,6.2926915613934398,1.2671215878799558,6.5125374123454094,6.2163402559235692,8.0307299550622702,2.4784175818786025,4.7643180284649134,3.8931416952982545,2.0325033459812403,0.28375181369483471,9.0167349856346846,4.2649741284549236,1.4202103205025196,9.4748677965253592,4.1031303536146879,1.3118853140622377,8.8564837072044611,0.92173629906028509,1.6219855193048716,0.71063565090298653,3.6533902864903212,2.5305736344307661,1.3510936824604869,7.8315316839143634,4.5530728390440345,3.4952414454892278,4.5230016903951764,8.0894458666443825,9.3167439987882972,6.5164605481550097,2.1524838404729962,6.7959236726164818,9.0892188483849168,2.5012559397146106,8.608598355203867,4.7126232832670212,5.0595587491989136,6.0039373813197017,8.1756148254498839,7.5584353180602193,4.622449791058898,9.5136744994670153,6.3273869967088103,4.3933032033964992,8.2469738647341728,6.8898091278970242,7.0220664842054248,9.871454993262887,9.5441490225493908,8.5126966796815395,2.8931620297953486,5.3742574108764529,5.1443466590717435,1.0343392798677087,4.1402848297730088,5.7671663956716657,8.7656571855768561,4.4003865914419293,7.2974768001586199,8.6926373746246099,7.1564233442768455,8.0072032660245895,7.0653547393158078,7.417158973403275,0.19092403817921877,8.8603111682459712,5.2498740516602993,4.6332273399457335,0.65193872898817062,7.1342232031747699,4.8894315911456943,6.6767906490713358,6.820491193793714,1.9955474697053432,9.1663389513269067,8.6588266864418983,8.9001867920160294,5.4394830670207739,1.3919499889016151,4.5034743612632155,9.8936249921098351,2.1553198201581836,4.4602342648431659,3.157324125058949,5.1465945737436414,8.815041184425354,4.3972556246444583,4.6753178117796779,8.0664991680532694,3.6515806009992957,2.1151895727962255,9.9911665357649326,1.5360447950661182,6.3048826949670911,6.163503653369844,0.0059504248201847076,0.0087899994105100632,7.7335201576352119,7.2733498970046639,3.1917758798226714,4.1772371577098966,6.8249423196539283,6.8056198349222541,2.0526188006624579,8.3641987945884466,7.0892061060294509,8.2870795158669353,0.9454880328848958,0.81737609580159187,7.6400485308840871,6.2957183597609401,2.1385217737406492,2.1354679949581623,0.81060797441750765,3.8882323773577809,9.52159667853266,9.4754506135359406,3.89853585511446,2.6921474188566208,6.9216897897422314,2.8403503680601716,7.7686582133173943,7.8386520221829414,4.2245981749147177,2.8215588536113501,1.9396747276186943,0.11316226795315742,1.9182383734732866,9.8323579737916589,2.4405424669384956,8.1972609320655465,1.3645493797957897,3.9814369054511189,6.0101010743528605,1.7688036849722266,8.2835471676662564,1.5773117961362004,9.8793700011447072,2.5716865574941039,2.3359919292852283,1.016373778693378,2.1941064530983567,6.3471743930131197,6.9600730435922742,7.9476981237530708,6.9624281162396073,7.5294041261076927,6.6952064167708158,6.3342990633100271,0.5644066259264946,5.9821663610637188,2.2700772155076265,3.1877788016572595,6.998344399034977,1.1743693519383669,7.625707215629518,5.2612327644601464,5.5391134554520249,5.8798891305923462,3.2966638822108507,7.0298941154032946,1.4304526010528207,1.6168770892545581,4.8532517533749342,8.6022569518536329,8.1326571246609092,5.5683578224852681,7.3899660864844918,3.1600733799859881,1.3533221557736397,5.2854826766997576,3.1073886575177312,5.881191217340529,5.1808358682319522,4.3084779195487499,2.5884275743737817,3.7022627564147115,3.9301760355010629,4.4686594232916832,4.7589622344821692,3.8783121854066849,2.792930481955409,0.78263208270072937,3.6974200746044517,2.5392228132113814,6.7178415134549141,6.7623692099004984,5.1393637200817466,7.2860836330801249,7.2076781978830695,9.447528226301074,4.6069733798503876,9.4016311969608068,3.2156008994206786,4.604341727681458,5.1714531751349568,6.6135549638420343,4.018329051323235,6.0563970357179642,9.8650267068296671,1.5039388928562403,6.7009840020909905,3.4381755860522389,5.4171016858890653,5.2280771313235164,8.2923870673403144,0.14950568787753582,2.742097326554358,6.429788856767118,5.4613660043105483,9.1784771857783198,2.6661332091316581,9.7008667374029756,2.4673314532265067,8.4397536842152476,6.9402366550639272,4.5575159741565585,8.1710133142769337,0.2208370016887784,1.6074891109019518,7.0694995066151023,7.0782630052417517,4.3663844931870699,5.8242111653089523,7.5171009264886379,9.9153303215280175,6.9567915191873908,2.7951174275949597,7.5386274605989456,1.7117892857640982,0.042539234273135662,4.9569107592105865,0.79916884656995535,1.6308105550706387,9.033011831343174,7.82992007676512,7.4667914677411318,4.3642567610368133,0.063416901975870132,5.8478720020502806,5.1847842242568731,0.66849766299128532,5.4402271239086986,3.8973141089081764,2.1582589205354452,3.8576943287625909,6.2686137016862631,6.5905332984402776,7.0931984623894095,5.3866128902882338,2.8028892306610942,8.1593216536566615,3.7190968636423349,6.8610163405537605,3.101689382456243,0.093475216999650002,1.0379728442057967,5.2096006879583001,7.7588032837957144,2.206851476803422,0.55278790649026632,0.70634870789945126,1.6027391934767365,7.2376373037695885,2.9702210985124111,0.50602594390511513,4.7780431713908911,4.5716189593076706,5.1998848607763648,4.4648957625031471,1.5031153336167336,2.8594238590449095,8.336821342818439,6.9563739933073521,5.7777599571272731,6.8116446537896991,3.3117495523765683,0.57475271169096231,9.8688298836350441,5.4239314887672663,0.016574161127209663,8.5619261907413602,0.29355479869991541,3.775504045188427,4.8965170281007886,5.76172960922122,7.389587271027267,6.7933219857513905,5.3626676881685853,0.35587701946496964,1.2250689323991537,9.7335564158856869,1.8827579682692885,3.5131874354556203,6.1412551952525973,6.076114671304822,1.2593281734734774,5.5286214221268892,9.5402849512174726,3.5692497761920094,8.3810163894668221,9.7425233572721481,2.5901419203728437,2.5152759766206145,4.2433587461709976,8.130480102263391,8.9791423687711358,2.4458622094243765,7.6061729341745377,6.9485641969367862,4.5185122964903712,2.6362024759873748,6.6550345486029983,1.1657104548066854,2.0956230582669377,1.1367566930130124,5.4697483638301492,0.060793701559305191,1.7597425822168589,5.9935930883511901,4.3190828245133162,0.82506539765745401,6.8741448828950524,3.7531006149947643,8.3620655862614512,1.2363737402483821,9.7334620263427496,0.29635292012244463,0.80353081692010164,4.942446262575686,7.6943737873807549,9.3403047230094671,2.5015527196228504,3.5965782776474953,7.691140566021204,4.9995533097535372,7.4925161525607109,6.7190347239375114,6.8166578002274036,7.567701768130064,0.36367618944495916,2.3057188466191292,2.2166731720790267,5.6260204780846834,6.5262191975489259,6.1661042785272002,3.7146574631333351,2.2480119531974196,2.3369149817153811,6.5301159769296646,1.6592753631994128,7.4410422751680017,1.5975769842043519,0.47638602554798126,6.6199351102113724,1.2494491320103407,9.4915714720264077,4.8418046301230788,6.2104563694447279,9.140249858610332,0.17944519873708487,5.9354565758258104,7.2187163541093469,4.9658200098201632,0.53694391157478094,4.4163260376080871,5.1917486405000091,7.7194415125995874,0.65356267616152763,4.4279033597558737,9.7718020668253303,4.6774136088788509,3.2905610324814916,4.4592986674979329,7.4327395344153047,2.0534130884334445,1.713793370872736,3.7251976691186428,9.3972540274262428,9.6485124947503209,2.5495747802779078,0.70335208438336849,1.2384877353906631,5.2633784012869,1.6008316213265061,5.1770721608772874,1.0518483817577362,8.4157604305073619,3.6856214003637433,4.2389047564938664,3.272275566123426,7.1354654431343079,5.7677586004137993,8.7188422912731767,7.5824576616287231,8.3659783331677318,6.9979110220447183,3.8906022720038891,9.3524160142987967,6.0560255125164986,3.6208362597972155,5.395046747289598,4.5507239177823067,4.0169217810034752,2.4044047622010112,0.83085712976753712,4.2157865036278963,4.7237994661554694,2.8976646438241005,1.049691429361701,2.163861496374011,8.0201864894479513,5.2743909182026982,6.6882035089656711,8.6364275263622403,2.4375031609088182,7.1156444679945707,2.6366292731836438,3.8282150309532881,0.8100551925599575,4.5976276928558946,2.328669810667634,7.9535261122509837,4.9134308472275734,0.032287808135151863,2.6611915789544582,6.6468883119523525,4.2519110022112727,1.8682474410161376,9.6347557753324509,1.3403914170339704,7.9585565766319633,9.4604457356035709,1.7115523293614388,6.0600129701197147,0.63803622964769602,3.4749166807159781,2.9246799880638719,5.0965822767466307,8.2583651645109057,8.3433845639228821,7.2644311469048262,3.2943428819999099,8.0208435514941812,6.3176327338442206,0.45340716373175383,0.41420438792556524,1.5331511059775949,7.6706501608714461,0.61731379944831133,5.193032156676054,9.2914978927001357,2.2051553288474679,2.0456291968002915,0.88992663193494081,6.9969098921865225,7.0646127359941602,4.9463091418147087,2.6177851902320981,7.1157127153128386,3.7836619513109326,2.0064452942460775,2.3260760959237814,4.3609623936936259,4.6949849370867014,8.6118743568658829,9.7723832400515676,4.4451920269057155,0.34243099391460419,5.2377174003049731,0.31638791784644127,7.5317377177998424,5.9158820053562522,8.2289103185757995,3.2957887044176459,2.3207809403538704,5.3652826882898808,4.3061840767040849,4.0358108654618263,9.8732473980635405,9.669096521101892,8.5053058294579387,8.6751422611996531,3.1160518759861588,1.4839040860533714,9.9759859079495072,6.3952329801395535,4.6807472547516227,9.3191472394391894,6.9077261863276362,8.1540676672011614,5.4153464641422033,5.7280652178451419,1.5921611525118351,9.452502722851932,8.2133369473740458,1.5541387954726815,0.41074767243117094,3.4361337637528777,1.1001942865550518,0.96538274083286524,5.1877327309921384,0.22405038587749004,5.6148371938616037,8.5687611717730761,5.1690810499712825,6.7452473193407059,7.3717489466071129,6.9846033165231347,0.22799546830356121,1.9198375614359975,6.7099100770428777,3.4587173722684383,0.66290278453379869,1.4071048470214009,9.2111748969182372,2.2165645938366652,3.8011459587141871,5.8601578557863832,1.6731280647218227,0.26339687407016754,6.91126455552876,7.6234388584271073,7.1369532449170947,0.77324317768216133,5.8980933530256152,9.2550304578617215,9.2969777109101415,4.3044600263237953,5.0596961099654436,8.3125597843900323,9.1923612961545587,6.0163764096796513,7.2383645689114928,5.1933663431555033,4.9081700574606657,1.6141941538080573,9.7611556807532907,5.7436028122901917,2.7325111115351319,5.3142729541286826,6.9855816289782524,6.6704929061233997,0.97432542126625776,5.4873628448694944,6.1073766648769379,6.6796543821692467,4.9512533936649561,5.7158260745927691,5.888880412094295,4.4131321553140879,1.5121689019724727,5.0227472838014364,7.3136381572112441,0.31656548846513033,0.5161671107634902,5.2206346392631531,3.2064229529350996,0.35059507470577955,2.4514233227819204,1.0718051809817553,3.829685146920383,5.5182942608371377,5.9716850752010942,6.1111056385561824,9.3525150371715426,7.7203029347583652,5.1314849033951759,4.8668115213513374,6.501277438364923,6.9699574774131179,4.0753774298354983,4.8684951383620501,4.7978285513818264,7.1045006206259131,5.3419864596799016,2.7664696471765637,6.0553817451000214,2.8010372864082456,7.0336945820599794,5.3048957278952003,9.3825402483344078,2.3540271865203977,4.1349422698840499,5.974762300029397,7.8300233511254191,9.2025236412882805,6.814911151304841,8.2117733126506209,5.2741299849003553,2.3026974964886904,1.436841506510973,8.9952111709862947,2.5142211653292179,6.515145362354815,0.048156087286770344,9.3593594012781978,2.7535305311903358,8.5876592621207237,2.7892856718972325,9.5243094023317099,5.0681995274499059,1.2294975155964494,4.164754250086844,7.0247138012200594,4.3649120815098286,1.077388096600771,7.6617479976266623,0.9986560745164752,4.4126522121950984,3.4457648964598775,2.9706417676061392,7.5762114021927118,3.385095945559442,3.3075835090130568,0.55606186855584383,5.7318291673436761,4.852860402315855,2.0248197019100189,1.1447458481416106,9.7434786707162857,8.6460949806496501,4.9184074439108372,3.6739483010023832,8.0491236969828606,1.6220381855964661,1.5957980137318373,0.57722928002476692,1.4925138931721449,4.6810142230242491,3.806083002127707,8.8370465440675616,4.2413353035226464,4.1224794974550605,6.5129459882155061,3.0832749092951417,0.60142465401440859,8.1441647233441472,8.9765689801424742,9.1949195042252541,9.0121794724836946,7.7004645625129342,1.7079624207690358,5.7244192296639085,0.31403776258230209,8.0326781747862697,5.2221464971080422,8.6162177613005042,2.7719816099852324,8.6949407123029232,5.8686197223141789,3.8917188625782728,8.1189538072794676,5.2567024854943156,9.3987148394808173,4.2003807099536061,5.798625061288476,7.491450454108417,8.807840826921165,3.3808469958603382,1.8954858835786581,7.4312601378187537,7.1891944762319326,8.7916182912886143,0.7286904938519001,7.1011358685791492,8.7905987817794085,3.5937941633164883,0.8985309861600399,1.6102914232760668,4.1679636016488075,0.96428553108125925,6.7469284264370799,5.6261159293353558,8.1304683675989509,8.7819178635254502,7.6936009991914034,6.3520536199212074,8.9652397250756621,8.7841295078396797,4.864707007072866,1.1307059461250901,3.774845371954143,3.8261959748342633,6.8757789814844728,1.2173956213518977,0.76821758877485991,1.4330205507576466,4.7764077968895435,7.0858797011896968,2.3801933508366346,3.9096661377698183,9.7588080912828445,6.2876665638759732,6.8119882699102163,9.0869056899100542,3.6240014340728521,8.592130821198225,7.9427791200578213,4.2887329729273915,0.73510955553501844,4.9863056279718876,4.8387283459305763,4.5073479227721691,4.9965733056887984,7.4075878132134676,9.3284346489235759,3.0012174649164081,1.4619563380256295,1.1001846380531788,0.80322036985307932,9.7247624024748802,4.08177450299263,2.3841037414968014,9.6316019911319017,8.334740330465138,1.980799357406795,1.2948154378682375,1.9630743842571974,3.3911915728822351,5.7567919697612524,4.4026808300986886,5.8567459229379892,4.3287726538255811,3.6820267233997583,3.823168994858861,6.0013265116140246,4.2947276635095477,1.4878742164000869,6.7019666777923703,9.9540061037987471,6.9806644460186362,4.0273988666012883,8.4927824838086963,8.1952718365937471,7.9338217666372657,3.7424939638003707,0.096078882925212383,4.7977860737591982,6.3905792171135545,6.4649520395323634,6.4489790145307779,7.9903476871550083,3.7736405478790402,3.5767177352681756,3.8950046431273222,3.3430675230920315,6.9358867686241865,1.4489745488390326,2.9152536764740944,6.6685633128508925,8.5436512716114521,3.1469888379797339,1.4414245542138815,6.022493951022625,0.05588197149336338,9.2082953220233321,3.8195493118837476,5.1653147209435701,3.4445553226396441,2.6413345616310835,2.9099980043247342,8.3364814566448331,1.2439070735126734,6.3461942598223686,0.48697450198233128,4.5804586261510849,3.7681655678898096,1.5587290143594146,7.5585565343499184,6.6597319720312953,0.11530605144798756,7.9488075850531459,5.6091441959142685,2.8865446290001273,4.1556021943688393,3.2061132788658142,5.1459029875695705,7.1915523521602154,8.4204390365630388,2.3189534153789282,4.6500704204663634,3.7335931695997715,0.50043068360537291,0.73850327171385288,2.0244934735819697,5.6618263339623809,8.3152392134070396,4.22552480828017,8.3954858314245939,2.9304344579577446,1.811957829631865,3.5752568021416664,9.3411015719175339,5.8941923221573234,3.6904046265408397,4.6305871522054076,6.2783033540472388,9.4445206038653851,4.0578630799427629,0.50481635611504316,4.4485011743381619,5.9592719143256545,7.4831107072532177,8.6417153663933277,1.3102306053042412,1.0457936022430658,6.6530810808762908,8.333778353407979,5.8128509484231472,6.5859356382861733,9.8203242151066661,0.18916015513241291,9.2147287866100669,1.9467886723577976,9.6772315492853522,5.2307245740666986,2.7879572752863169,7.1979475533589721,5.9045856352895498,8.3708185190334916,8.3469149051234126,6.5988757321611047,7.3044820735231042,6.4302668673917651,3.4952905774116516,5.348761910572648,6.6414728527888656,3.2342887995764613,8.691879790276289,4.4237031973898411,9.1796731483191252,2.7666756417602301,9.5175327127799392,1.1723781796172261,4.1600740002468228,8.363754702731967,9.6253542695194483,3.3292831433936954,5.2618170715868473,5.3595633385702968,8.1810732930898666,9.2989009851589799,6.6289303405210376,2.4322850164026022],"S":[2.5100341240262553e-13,0.69309597289575431,0.50596090987443354,0.50287424731427166,0.45044076982521919,0.44572503936524532,0.054047731667750946,0.54650085857257691,0.54572527433677243,0.4816284485970716,0.53836925922087886,0.50270905776190311,0.50284971736373174,0.02158155325169886,0.078861995837927065,0.44011958700918741,0.50295187413693143,0.00023886975803542618,0.53914181635384872,0.15095347892421829,0.54649099734658524,0.48837746660899906,0.52576902886378052,0.52143683395052676,0.46967215558166037,0.44391829559438017,0.35870842934758018,0.51818199327134584,0.53405296894152765,0.51147499353377224,0.50730788474809352,0.54133215247030098,0.52643090121727565,0.055490546631681292,0.54156245986057971,0.53630767329388751,0.44971361065336835,0.51376378209922502,0.5303296094279828,0.54336339383866117,0.62725798634787777,0.47851581390660547,0.45855920110726539,0.48388920426138055,0.53749839681374867,0.19139342160336395,0.45034788770353112,0.53283459880267203,0.43016535128356581,0.49600766583332739,0.51601276957498132,0.5191913636028791,0.6098084648994031,0.41458479240403961,0.48500137630466283,0.58285300161760811,0.44363848585617299,0.47809877617964197,0.51765538265394084,0.1135893894263956,0.53404096375374777,0.54068592085921541,0.53235477440981605,0.59646756342071261,0.51660437944218229,0.44747781508138645,0.48966964705086408,0.34680318561916129,0.53230110906070904,0.19932500616333593,0.5062477825082915,0.53252906584364379,0.4023024686503589,0.47522347079657451,0.44016454496575913,0.55289007090901232,0.47771158661887581,0.065054336512845229,0.54178760788531166,0.48020029522809354,0.47390887177776031,0.66095306787705843,0.002091665076941402,0.4732514850143365,0.47926962480307789,0.4578611633076628,0.54113848128562625,0.47524740766866397,0.46863043133930443,0.5026145847768988,0.57996316204486276,0.55579969587603517,0.41964861340079695,0.55349288322835499,0.50542573246313671,0.47079835219014315,0.49626432963370382,0.51105622179902455,0.45913202524656144,0.52858415265758152,0.48731203445417171,0.56689328691739749,0.39638786960493011,0.46675434738006938,0.68031405622997621,0.4726257980788402,0.46727465548093056,0.018868929197249799,0.46180183470248154,0.4841362156690745,0.48632771642561745,0.4574699425046157,0.5219799831643599,0.48186920178631487,0.49692342256830124,0.50590075357994624,0.64067025893111551,0.39270280376470024,0.49462208378449801,0.68829948906361993,0.34928158173794366,0.41665971997881412,1.4131524300294277e-05,0.51817089858080678,0.010155638384221635,0.53707124427514485,0.4661202652765275,0.61935882920430629,0.44269606127768008,0.59950767746679701,0.51764874838788255,0.53378542046243638,0.69619834029615224,0.53695921328990293,0.51648869622504878,0.49746450100641731,0.49660241832953428,0.7056086424845901,0.53991739915052683,0.47350918590272861,0.51528946253473806,0.48589152755252657,0.50687633340625937,0.70382951896967783,0.48470905753252347,0.46434695161140738,0.71393691986425989,0.44429572668676481,0.60944109571996763,0.43652514633803641,0.55020183981861337,0.47226781326817391,0.66503138192191191,0.34343419088872501,0.59584619893859414,0.45941951015033888,0.66906226265058144,0.53915532064820015,0.5275921677554779,0.47151531799763025,0.62572065712167568,0.53126436782282704,0.48177654807721298,0.34674090310139427,0.011948636158381527,0.51597766796257594,0.57165146673849188,0.71389222036059752,0.53144148843305783,0.47880797481774029,0.69163692289623624,0.52788081123559383,0.36073635038454016,0.62120526158373923,0.17962702875423242,0.54336645514898363,0.60420622712274041,0.70530821507492103,0.52011340864672273,0.47032277409643419,0.413542758324834,0.44635095667131169,0.52489124918409047,0.51058872623670093,0.53666147603161263,0.41240037279129099,0.54496927180624144,0.52007111446652265,0.61869541252799487,0.53647012519471005,0.56421478667891389,0.55036396422632061,0.44710683815404773,0.50982127292811552,0.50830596601845346,0.53665683612385706,0.52336747750592949,0.44975997851829802,0.46808012870772636,0.46140932517193528,0.46916856119341149,0.52091336602789085,0.52069150581179491,0.49537579151549388,0.47207792065026821,0.40620772311361608,0.48850668255512497,0.54661095916507352,0.47253013372289165,0.51559924904985888,0.52144648332055854,0.49064458091743007,0.46194216150878264,0.51665058422481769,0.47181336894384823,0.48556480454826828,0.46086466106199347,0.54464840343800203,0.49928787197057262,0.0036431642465547384,0.52530074225702983,0.45367401395367746,0.54519609869753427,0.14052971169501782,0.50745193947585776,0.43575915393268605,0.47048846354631335,0.53222345576730856,0.34347791024974866,0.46529134192540289,0.50158294478188692,0.48837498419634839,0.54628925116845206,0.71287777816081099,0.43568085622973129,0.53161893030950746,0.41479314568294068,0.42986923995735327,0.60024059041342603,0.54508290712100327,0.5322329039335757,0.46461249682891126,0.56615082260708038,0.50403998868054145,0.54180975241366769,0.38398772435483036,0.46938747378015844,0.68093477153292981,0.45347262519993359,0.55161781494684858,1.1031702459861613e-07,3.5560278998795661e-07,0.46077940668517747,0.49300443525962179,0.59605787207000627,0.54832422513993428,0.52884250356489571,0.54125826071748495,0.35210875312765955,0.53796719026685025,0.54140230405440182,0.48111387369190195,0.38400250419162785,0.26421251617283625,0.53493192610065476,0.45770674072541961,0.40106791673984776,0.39869448121551265,0.25837303117450106,0.48657116946563472,0.51708154482911628,0.53164007745627961,0.47659178736702046,0.46007902008170137,0.45452276246568912,0.38860090339486075,0.46502284563749069,0.5259399971944656,0.57280072576194641,0.3881783429132647,0.35460205189226901,0.00075873653880822382,0.36369502599714976,0.48410070912233172,0.6286321359541831,0.48846196396494351,0.70857837389144085,0.42266777250589577,0.44792001955908201,0.48080064028926262,0.47811354053279054,0.65551190546043059,0.52606185634399683,0.57488678530152948,0.58304810183723499,0.45462561713405231,0.45002761700248228,0.45468380505517525,0.46469386634649817,0.48987613412008402,0.466248383226612,0.48012299625574734,0.48682877979237216,0.45062105990200763,0.092469852508448372,0.44992721522538581,0.52507549489183958,0.59714083943674279,0.49804955417226321,0.60289929723926583,0.54061683557188667,0.44731138826994404,0.52805718529149237,0.53402332411339282,0.52256195642259218,0.5274850976656551,0.71338442109766742,0.62544173751431054,0.450454250753409,0.53700065696152444,0.53823405995189044,0.49999265520894987,0.52488191672667783,0.6003382584803123,0.70590142235124786,0.4401691591544763,0.58584314118878744,0.53299355549183436,0.51587851897536141,0.54776042341608489,0.560532234484031,0.57601273639800143,0.44909392796520942,0.42896223004529571,0.53592869006634158,0.49640749943692769,0.39349809200998032,0.23488336434020907,0.57373912928226234,0.59884500504197202,0.50923598943020676,0.5427482803347401,0.54977836213637699,0.50569271141280558,0.45599605355295386,0.51306500084918916,0.52284784363669889,0.4722513607635212,0.58649299674766486,0.52036102752073765,0.52475849788659712,0.45600177586100415,0.42262047358801824,0.47428268648757105,0.51539597772199697,0.69596389577635165,0.49247247870100808,0.41192570905523368,0.52975117833366692,0.47022804795977102,0.48591133340839215,0.0017495788815897579,0.41920867675904799,0.52501480940472467,0.5559470260231788,0.46779751405929293,0.48503475909509208,0.53236915656898054,0.62771381513150626,0.48685788347672793,0.45562974798695993,0.47442889436984331,0.51420181541377119,0.0056367931417625394,0.63302861022458412,0.54498303597583075,0.544436350818856,0.49374591042363236,0.55415990061762721,0.47021199278467485,0.52833005289061929,0.46268392119263158,0.39284380007587227,0.48868905391516138,0.53752597998623441,4.0305784267323225e-05,0.45929742138556973,0.248640092505196,0.61371646446343342,0.52827205705987179,0.51870156601354878,0.46063504195081845,0.49586533352443873,0.00013354033176951499,0.55197164833926238,0.5120238688410057,0.15100208976452958,0.54673410147090151,0.47775733677085258,0.41730328981374365,0.51693384995468361,0.47763813133402622,0.46977841873176363,0.53967383777751154,0.50080031331672903,0.39084557025311112,0.52431928252903426,0.58197416246663136,0.49496441142213271,0.58277585596133286,0.00042764384409514058,0.47613940779655928,0.48738040764051538,0.46089957226634981,0.46237872888258391,0.087000291542345815,0.17658638265772769,0.63676513850809058,0.46361015675608491,0.46692062737933249,0.067064881129425213,0.5184927038608218,0.48803927974427785,0.49699057461426766,0.42924509306456993,0.69629167527333458,0.39222602456356959,0.52698299931568204,0.46244167756227417,0.53070467312180825,0.53805241369794432,0.50761714261207525,0.097517012242122128,0.51861710825877794,0.5353846870525133,2.3839288322988063e-06,0.51707564357747937,0.013228108115421272,0.57827813746950452,0.43510599568886404,0.51635930580273515,0.52519143214066666,0.54564347212120379,0.47739282153269091,0.023532634894378002,0.64192789337475131,0.51298814399625869,0.38396728365802246,0.42115979646679452,0.54652511786196156,0.49292029870333304,0.66443952649634874,0.53675697994947824,0.49922386621346959,0.46256240889223205,0.53534269391151412,0.50436823342765291,0.55899941588713242,0.61250264057186743,0.5749532845356734,0.538650027116375,0.48018954938319774,0.62888905560287645,0.54069512407040887,0.45850445033768444,0.44350478520399417,0.5148575800704791,0.45688616542184013,0.595654971733661,0.37169621689560089,0.57041355178357711,0.55761548183121545,0.00011764496322565966,0.48971927621510014,0.4473470273160961,0.5391038476871336,0.27091779727649368,0.48230980300969384,0.58417298975262377,0.53777307058995028,0.64973446753284192,0.51307484101554801,0.013609301315681275,0.2523309277219799,0.4491016942435736,0.48721922275341933,0.48750632015061457,0.61857882173320999,0.48889952586146701,0.49032537174725677,0.49874469533568594,0.45845991929189056,0.51040148170574207,0.53490317846453328,0.51710103601902724,0.025107535086205508,0.55823384118101538,0.47205729227432214,0.45197149190945934,0.52947754797072566,0.55159817422644986,0.58070349336984639,0.50332244933842241,0.58374143617058527,0.52626590211723356,0.58825178845826764,0.47677207577167607,0.64074520255159206,0.056095958228363045,0.45385458800759704,0.65830558443831877,0.53321745340862259,0.45855685602728524,0.53238380366380988,0.47381534296883621,0.0030249262164667502,0.48152908970450625,0.45651855541065273,0.46662186148079088,0.079876319452954134,0.44958463329811837,0.50512069505249513,0.46716887523474027,0.14153725656966284,0.44214468816862551,0.47747939050653032,0.56658097404707974,0.5284904354796317,0.43003079441860859,0.48411432425693252,0.3523717827557773,0.53553277770516694,0.58335719469191905,0.46996868267733166,0.5047312132815055,0.59183234150471808,0.17447808175378507,0.65115417231198391,0.44631297894596389,0.63824580199254966,0.51949479010206834,0.48986957856999824,0.51042829712704052,0.56722527769842712,0.57486375222768848,0.54554707072861608,0.50622325520918343,0.52198863182532773,0.46350420883697185,0.52921870003018234,0.53803786671709086,0.49761654601731581,0.4842487764334566,0.47727846974569821,0.47395776907098452,0.51306560413108249,0.50918828289330198,0.46819785332868347,0.42231065679515378,0.62124312509017998,0.27601709608257585,0.57021160691812411,0.55975666959591686,0.40875835910572528,0.48774141339279609,0.42217037172546984,0.46523001904165701,0.44228317963221153,0.48024985946781712,0.5223517113019589,0.62838812670301392,0.52465158023057046,0.51443206279361786,0.54433818778538356,0.25789872159630606,0.51388489988353958,0.57740531630609393,0.48437388475431248,0.43666139031664941,1.7624395525231802e-05,0.48992100754161755,0.45394696416782432,0.5743843102923244,0.39393838495012734,0.49109925992069609,0.70217817961121431,0.47988963757244596,0.52370734843378541,0.53776149789675043,0.47750862506697034,0.13207780792187998,0.4089377137658089,0.42704931832839688,0.56235021612607894,0.4633003523393695,0.53118261974578707,0.48439213033800832,0.52482727738518775,0.46555436146525309,0.45015549276901423,0.048442620225924556,0.037015967408337819,0.68246600609404651,0.51060733032294314,0.12005653821027079,0.50383962009653183,0.52976775639521267,0.46071977480147608,0.34996037902797356,0.33019160132821779,0.49661705859758004,0.54454846757662279,0.45159559717117392,0.53303567016665976,0.5245943695957257,0.57474526076770549,0.34354630812269804,0.57534761180466432,0.4991551654991695,0.56766777185584494,0.53577495712727174,0.47706445851328044,0.43390678915326136,0.02097322733572686,0.46229060388553694,0.016553554177827889,0.48221755111914144,0.50068649921657771,0.46521192637123965,0.52341755844107107,0.57105582133857347,0.47984203299176531,0.54951184016235666,0.42846095585278943,0.52202963932465607,0.52288153624377143,0.46771166831838562,0.48567205221411702,0.58998190055716482,0.703097054289752,0.47680076868169619,0.4917562153128236,0.56713448480190187,0.50827710461054054,0.45854596385078716,0.52821161582956633,0.52823414085008258,0.48321096926182755,0.64482779546205549,0.51748333582843609,0.47455983306352711,0.67059598974445567,0.036103114147550255,0.41251370131065046,0.53668170162018336,0.40370832880091467,0.5091139419414199,0.0058863059303759808,0.45868604250483325,0.52280890109117983,0.52692286844794844,0.533043789257724,0.53719941841418328,0.48460013407111008,0.0062025523404989511,0.36293057994978972,0.50137038198606154,0.40845895167698709,0.14741445035064277,0.71386015343527942,0.49158285262602325,0.47194971709201627,0.56488226071096781,0.54693530945067126,0.57524880777995513,0.0095600912793082898,0.45714680456753326,0.54109111716429048,0.50474570216677916,0.22724297377657823,0.51814276775868828,0.52941460087916192,0.52667062640116546,0.55079748713479537,0.55044473256261428,0.50573547727368739,0.4754044646431016,0.44947058913498611,0.46402707768753637,0.50350582206375893,0.43570866397114222,0.62763665667000035,0.4862069834496579,0.49850647795395669,0.42606099876860637,0.4441326156136175,0.48552643583305916,0.46578428111222819,0.41261186597434951,0.55721317322295183,0.5232641185156528,0.47280136732272177,0.45503796008372283,0.47199594692957902,0.52654819287669108,0.45187863662660865,0.69252755659944953,0.5214560811436193,0.53006452543590965,0.016581375733591239,0.071110328147947627,0.47688729051461826,0.59079379643167762,0.022503986393689408,0.62892526969182194,0.50942380394781317,0.54307180512508735,0.54414741348710527,0.45432836870836363,0.52652313326391231,0.47720508418765306,0.46665865014990132,0.5541278174078853,0.44284477812743989,0.54487226287249813,0.47179388321853166,0.45379124510806146,0.44206646473098843,0.49891922736733968,0.53313909150502825,0.45989125954574978,0.40448406209451504,0.47339780273864374,0.39127506867591011,0.53038908139648977,0.44135433927357726,0.46611240057896947,0.59580964056405494,0.5103521366827245,0.45284357835196781,0.51879295317524154,0.48353011947999847,0.53604769639733818,0.47575500811924515,0.44235683395770004,0.55556234468459764,0.71282969273423891,0.49508682998181908,0.61301653881918583,0.53752449643013278,5.8472517106751223e-05,0.47263487884933242,0.41179313991777966,0.53413371731844994,0.39467711326185967,0.51469153133232126,0.55495727556556906,0.645028563722158,0.53820466544017431,0.52321667096895275,0.4952120029832755,0.51484248537399102,0.51892189495021146,0.43691522589557091,0.45223177569216377,0.41012166850135978,0.46732522541387295,0.52445000490393112,0.44002055356623671,0.51177194022034822,0.088520388944553316,0.4868443780072938,0.45070740455141567,0.34535498272743315,0.57752416952064378,0.50341938840341893,0.51396782350070402,0.43794606460596675,0.55952295938862584,0.48691329195474919,0.62116120085861637,0.64209686874375349,0.098750011753095029,0.70024739869629804,0.56717183334163768,0.56157449928935765,0.53565272870650116,0.57494536615439829,0.49793579120934023,0.53890703537044471,0.57113117463775565,0.11130519061832755,0.53411807030846092,0.47810360351449172,0.47727719031878263,0.51180097650295475,0.48159813531692075,0.54132530879145468,0.47976244774560811,0.016188244187249581,0.47291055690152056,0.47550257973998483,0.53442193411721006,0.40174295103734647,0.47040750289408334,0.54206308882467635,0.48315951975291144,0.53884912062533274,0.44963686932435665,0.4706766214968931,0.56340207474728921,0.54529609169633175,0.45824411988958108,0.52839542475106815,0.44327493381939848,0.37599235927123564,0.48549431555600114,0.46118415705348448,0.51592426484065268,0.19274751093449199,0.53532392225146952,0.51500427755993416,0.48613463669511409,0.33837317182821236,0.63079155769823714,0.54091812739442491,0.40261757559134925,0.53421419660614322,0.45192195713978511,0.5386519467256996,0.50676102751014873,0.48795513088103337,0.4570173336339387,0.47041817604109853,0.50891792660747592,0.44387127401848336,0.56496062036644201,0.57853205732967528,0.54605552173562133,0.48081542797105542,0.63642955278205116,0.22320510359006654,0.71318346528218601,0.52006444724987322,0.54259377683181875,0.61105677514443901,0.46626415596917559,0.48836504041209822,0.46258245669479414,0.53785007350530556,0.52192683053069278,0.51617274443616601,0.53560581237563964,0.49469483105691942,0.56119254349356629,0.19753356743153444,0.48560216248572619,0.46096294992625797,0.43743231268617583,0.49576634119830182,0.50880135878053456,0.49906940688908236,0.49753043716050771,0.7088714758137652,0.53667257536221424,0.25206740386743848,0.52051045273303342,0.45916271058792868,0.61296937351795888,0.48810383620064057,0.52547797523057882,0.34456877831623844,0.68385901212138633,0.34765412178158794,0.43557467555927015,0.51159638940984586,0.4600316528625536,0.54858559974800358,0.5305016608736749,0.56498036634983351,0.54858063753391939,0.44697734574574766,0.5575271549376235,0.70182366490492776,0.49344528385229974,0.49598259185114923,0.48094546732500715,0.42519650406491905,0.46323669941961315,0.49037292828561513,0.50363052549730558,0.58493812498931863,0.00046438259600759289,0.49896168616203745,0.48720191723751721,0.54659394037225906,0.53920592935172529,0.46137879430142348,0.57898420540177531,0.46953041903163034,0.479974969296044,0.47663653456458543,0.45470320196386499,0.7112714853498463,0.42011733947088609,0.46445772816797137,0.49948512922987393,0.59920538055223505,0.71231887365597657,0.45166411530218126,9.1371979621469857e-05,0.48881939898154197,0.55151807713456957,0.53027799541342224,0.41036857452002495,0.50973449868876275,0.41649957330847948,0.52674257240963285,0.65473431514533187,0.45426593133465415,0.059870168541201987,0.49683397476406116,0.58083613648786536,0.66776851685954941,0.50842463039287056,0.45915312636657502,0.00080267806154801888,0.48880823075421376,0.46274488528916879,0.40273953809075635,0.53010173354382806,0.59092571750693235,0.54555938903165835,0.46011868465984862,0.50585833101916244,0.56954720660036451,0.55620876786059659,0.58456058305912573,0.064897382959250696,0.20008936815632844,0.34530433695892948,0.44396646791721062,0.50836617664422001,0.57301542221796553,0.52758362308137075,0.43154311250980698,0.43997827650941335,0.46814999694606657,0.48676954022162267,0.52177912713508245,0.57002765704920921,0.54320095458840856,0.46943923902085943,0.51024811888143473,0.44072777058136187,0.066592441064427424,0.43275883580509888,0.46181210569476261,0.4574686599924912,0.51791974611426506,0.69092973460275886,0.48388948506417684,0.45606424631621245,0.52475628362336901,0.55160481163207664,0.47347597615154163,0.47491790887064023,0.0035431505673882233,0.49507065798963162,0.35215208565447181,0.52795388639045138,0.46796362788516727,0.3951341302256603,0.45780790323441956,0.51189576844989881,0.5378093018549891,0.53306645223328541,0.46379616730106799,0.52286399163469754,0.52542422781178877,0.4135591747430048,0.46519626094552186,0.45272365415741278,0.5755178508268467,0.4723005049618999,0.44467811876036489,0.46826455808360218,0.40437751493383339,0.52044826343114958,0.60124684712983145,0.53412429547830398,0.53793659595617682,0.48251196658119588,0.49012241926846056,0.44703283310264746,0.47454110194384908,0.50445553880807814,0.5254178776283015,0.4522147105276858,0.62780505944156362],"C":[7.8263692557811737e-05,0.62474224572749237,0.5416993040628586,0.5693024803115877,0.53333609621558908,0.63333799936827395,0.46479211560374273,0.49402641732794939,0.48978132162340737,0.4713267756612336,0.42650799282388008,0.43879892738267934,0.53819784988686925,0.34450446958007852,0.52394060415374111,0.50480910732250361,0.54732970370323775,0.076981194992323268,0.42689542898598026,0.63624199057505748,0.56035086837507297,0.45513770200379294,0.45250740283458868,0.47333986531403199,0.47774723394753715,0.47760255237783111,0.77007223451364493,0.45485316812899512,0.56845036514685909,0.54391647227635231,0.46580671984895594,0.4940447975579968,0.38225250119658305,0.46873541604220942,0.48807242060838624,0.41029833667656601,0.50142982384597035,0.53976365714090047,0.48943204626393155,0.57542972185076335,0.48583300275283409,0.52424649734822082,0.51491423371224498,0.53905656811671632,0.46869235207397353,0.67836994299546516,0.49142803259540863,0.48529355247031525,0.40710464253147982,0.42722181732875775,0.46168665432967104,0.43622787456356915,0.57487421863502153,0.42254604690248454,0.58718774490476922,0.33297596197841411,0.46683188140307808,0.52788651259110586,0.46976976767336831,0.58584399840362689,0.50889737519526845,0.54818785732712927,0.4475445445833281,0.47547044825791657,0.52765993015181334,0.53728533789787858,0.38141483930748205,0.7669050993188461,0.50919472215502593,0.68544964013608245,0.5632387223073454,0.42389249349335623,0.44045664023720155,0.47551791884393402,0.50527896371484182,0.54352781968492969,0.52544507234238991,0.49311992165382962,0.50085974164648428,0.46372704883636484,0.52824229914458321,0.67724980210587682,0.15865219399662733,0.46229395888097913,0.46976465682322904,0.47207126859529336,0.48671066382598577,0.53622707451943374,0.49450363913213752,0.46427437692864365,0.6093199253657352,0.58731969220939717,0.54171575092720659,0.46866859340518757,0.44643604384087981,0.47627559461266183,0.57708706212954819,0.46382787753795807,0.38966938748230462,0.57102800840865608,0.55784904781829714,0.51216967603730512,0.53821404033654308,0.32821826986359504,0.41232688806146151,0.5484736331988701,0.5224170568346842,0.3295653527360608,0.54567180009430039,0.56182729676557042,0.46961727866490871,0.49937007560072183,0.4469958169840485,0.46920713449121876,0.44915958225476299,0.46266306091336679,0.36695397809718222,0.60194390381002483,0.45579330704845566,0.63475719165143518,0.76760162609722404,0.42012726040876569,0.029996003551740563,0.57458521403592433,0.26841710589655382,0.47477528775726857,0.49801968570705368,0.5557896128799289,0.33714088378151252,0.49007761457071375,0.46875488708324153,0.46477366654332697,0.44217588870801516,0.47143330238411707,0.41925588124362284,0.41803303352480736,0.56357853288300686,0.46854773237177483,0.46333934665105436,0.47325715958814552,0.44828306751364544,0.46981920439406144,0.44319484129447695,0.46262374789712774,0.5285313786294934,0.56915102218683056,0.52490765218735691,0.491599235990411,0.43853919062625363,0.48541056444190722,0.54669250651319734,0.51810419482296755,0.67199199130405474,0.48582549285634807,0.47339414647295425,0.46981480085987037,0.66649896537339526,0.47075791498039921,0.45687491441532896,0.52755870906698354,0.47795416050732836,0.44099219521309524,0.42038609017626272,0.52052853298171942,0.28329827809956876,0.53147790564645558,0.47931687078671109,0.52289554867493004,0.51183207465915237,0.57455550591246818,0.62791541204456225,0.47732178418760646,0.77056693445285207,0.35241574526047303,0.66720239710983165,0.57542786403572255,0.43084342289993127,0.59121460809667348,0.53531595022214684,0.56325424164638493,0.52813049935579537,0.5454817809468363,0.53047244298737806,0.46751812719620484,0.46773079305860077,0.6172402699706645,0.48692039823971517,0.47130328039869124,0.45625506233167334,0.4939160564275854,0.47916694913172519,0.53766193593408707,0.50346523368270413,0.46232730483867063,0.54128265310787294,0.55824942465088678,0.47605549827362303,0.50243005393321394,0.43501112386374585,0.5005819320425845,0.46559952374363511,0.54021203245652261,0.52473009603833398,0.46697184855644364,0.52486788842959353,0.55678401490506846,0.55808453450566586,0.45933967183337854,0.77802180808356225,0.57521511643417622,0.55084266367009294,0.53508587142076236,0.43854095807243465,0.54031191719190541,0.47662699822107341,0.45793318750636464,0.50696613688023195,0.505984163426764,0.45709415844360501,0.19086145222301729,0.47449709719248923,0.46091430111633919,0.55169205553266021,0.62347370192258011,0.45601381248714512,0.48962687577932346,0.53743406663479043,0.46624803051255831,0.48380145559208559,0.50105575060281926,0.46327443506643368,0.46617917099496825,0.53577340018231889,0.55111930845808244,0.52920186030433369,0.50594183091506484,0.61876249592150989,0.48702501771799078,0.50810964304740713,0.45769115088103501,0.51627428715538848,0.43690672029377836,0.51595286402098595,0.53925099959325895,0.57635064271479863,0.59323288907368854,0.49117810107744186,0.41330088826001121,0.48042323637212664,0.50134238777985651,0.0059504248183440229,0.0087899993975626214,0.48752475346007007,0.5431971239363792,0.47408322409075282,0.55883728980085334,0.46335551261466512,0.47798125888778309,0.53990006379420152,0.50257282594996189,0.48263587427147731,0.5334441818175949,0.77532117726150684,0.73182912443909143,0.47729898587008635,0.47230983487298389,0.60909343513127356,0.60717196641595428,0.72840761328951709,0.41933453071772381,0.4712643548222083,0.51128414259389143,0.42187089638549058,0.38927640011405651,0.49320386483031436,0.50752057743057288,0.52133544530139919,0.53123913340741269,0.51919031134927962,0.48875568205123487,0.42933028520107092,0.11315768927799948,0.40993468614264628,0.52819951655263175,0.51558179169293705,0.46292479753090299,0.57816423840102815,0.48003025165441326,0.50957154451227937,0.32474468375312182,0.53158227494807864,0.38088374724676194,0.51894282403637304,0.40228812930307828,0.60670669381651743,0.77947006507921079,0.63470464297881901,0.52146316401097392,0.52906195728027661,0.46125270991149164,0.53083074740241476,0.53730747318652261,0.54567584225438881,0.50928279110141184,0.55043760722953139,0.48203106716257393,0.63674333474706946,0.4779305191944721,0.5454369592221332,0.73080370922536553,0.49038852802450333,0.47030363746921022,0.44986669037314264,0.45790710345748298,0.40632467342079004,0.53597742729294973,0.51266676263011046,0.35527001581485917,0.45707025724733735,0.50022743789575475,0.49163957324245799,0.44285095389121826,0.46484490530178291,0.50536220882503935,0.58906654819371385,0.49330755045301072,0.55540118719104103,0.4571102818132336,0.44066965500778826,0.44370397458858485,0.39369867385493962,0.53993221999221397,0.43711565078155318,0.49539628219720044,0.44362150821895513,0.41809486728804252,0.46070324196042106,0.71322320007460915,0.54420727396707014,0.42405843800111243,0.54646789458790768,0.51969024093379868,0.46318464728865372,0.54331093818192233,0.49630902474873406,0.53105497253602696,0.56516519604071813,0.51939657079015811,0.45232477677866978,0.56602572029691522,0.44367136369560989,0.4805055524410935,0.51659289481441339,0.54582452700264295,0.52835551510724255,0.44163632416361676,0.54689570266228171,0.47200195123200867,0.55065179308964163,0.44691444596453689,0.53570463752760655,0.14948725880217661,0.41733059456019694,0.54271216025050162,0.51627945936921926,0.51286929452162933,0.38211743012875454,0.49462993252851206,0.48885616116600045,0.46465024795820709,0.51159166162542291,0.56494969895330394,0.46372735165748852,0.22070743869606657,0.36079784508108331,0.50185439387297703,0.49312183361545431,0.42741914433218114,0.50723403128037015,0.53009102450529977,0.48490218542561292,0.52646890776332578,0.46278998258347948,0.54067722717813316,0.32216764259704078,0.042539199902470876,0.5496334153727197,0.72239808523022897,0.34774819997689355,0.52103209473771217,0.53609289152038475,0.48364678575371678,0.42723214540101995,0.063416648892235708,0.48386049889500882,0.43981770482004429,0.63629948219830446,0.53517697633866246,0.42150465802400516,0.62029128694172564,0.41933822746233218,0.45441991428007666,0.46233393796817418,0.47903854060832413,0.55906964853306418,0.47029894365036212,0.46949885546841497,0.524217886817963,0.45388543166014794,0.56020380469195452,0.09347345616580717,0.77760255095599495,0.44023815268010463,0.51241067341447377,0.63783204010613248,0.54018705273706802,0.66418044208133586,0.36373024909795992,0.52469101175460653,0.60158278477482463,0.4979004305673318,0.43603228874682376,0.5685517302251506,0.4388803526512064,0.49164370459331791,0.44239184356577066,0.52622280529323895,0.52701054259798696,0.52612884207195043,0.54572751562760069,0.47288510551796753,0.40438423486012393,0.55946892009261995,0.52633766289122086,0.54679728545252537,0.016574160818608515,0.53302194616089449,0.29301737443896436,0.46896489515761919,0.49667862678862279,0.55275457403500439,0.46506330959259273,0.48943286495161298,0.55486325554167848,0.35447115408312962,0.69856392273492995,0.4699885092037403,0.38089688244294395,0.54434756166457521,0.52282441043604022,0.55189669026107735,0.67277294155188805,0.45570547905981373,0.466645228881304,0.58079254222194932,0.48609977437287283,0.46762203484250348,0.39293094882294738,0.44368481297956153,0.50060260321824757,0.49377620058296406,0.5293963441816677,0.51026862684019325,0.50974533759480689,0.51939509060448041,0.54201088213455439,0.38076897919577302,0.5206956636446175,0.73554606288180246,0.57802653316420505,0.74970322531728295,0.50807220694414368,0.060793496663997713,0.32314960994642028,0.49314010629735167,0.43759379794339576,0.73559245133662343,0.4572126252180716,0.49051101617777931,0.50469690321524807,0.69038861019392561,0.47002583220572375,0.29578940814241061,0.72472280661918009,0.53941635797129917,0.46065774308365193,0.46829478090530957,0.4559821431850693,0.58767241313241603,0.45976318121325532,0.56362962163506092,0.5088880568938996,0.54621234858400003,0.46898769053381556,0.53842476411966811,0.36210963219515135,0.62394030014125412,0.63949145991248835,0.47012127802497067,0.46115009211496338,0.49874211167993587,0.52847103435029708,0.64030516909812041,0.60609734167562568,0.45894506602177287,0.33508583699282513,0.46408225953862492,0.36701749708279924,0.47036764412979104,0.48650857006417159,0.68051618952073589,0.49539589631779979,0.44900471930282276,0.46028406463099286,0.47704217780682906,0.17939929505445051,0.44966436933878956,0.50730602139724645,0.55469304521611518,0.52603552244455265,0.44855731408767691,0.43892483086072787,0.47505633489970356,0.62474730127487954,0.45741129123849161,0.47646598067566126,0.51390176962330048,0.40776881196593573,0.48610348095026601,0.46023375382645104,0.54064953500650847,0.32195916509744221,0.51827724151236443,0.51566530636017283,0.53264857512391839,0.41644761423094201,0.66205093818448635,0.68882228051933292,0.47220270395412894,0.36493292911052488,0.4417106402077563,0.77560764043546548,0.46364493452838251,0.55403383927660643,0.50505503924855433,0.41428345512157999,0.45583106843338006,0.55060438213394491,0.50089137647535242,0.53013800781966725,0.50079485371004007,0.5454191229501808,0.41980622848236282,0.474661499968694,0.54564436711005748,0.58680590658138521,0.55826276419660459,0.56225342994032723,0.51522017079237137,0.55083977546569862,0.7383384808543203,0.52760777791400482,0.46893235785487825,0.5604941301720997,0.7759588340591258,0.62306555899394089,0.51913216763464998,0.48243504490639078,0.54329466288955885,0.47069657208987598,0.5186112178998471,0.46267683728515585,0.38073595338539529,0.42977358907136654,0.72812371514644003,0.56778715886973863,0.61137140533884293,0.46315816677707983,0.51347274094555995,0.032287799476854062,0.3813820354749442,0.51310868778622709,0.49207394554809852,0.37036102402243132,0.53181509632592927,0.60144797624374502,0.46543056160503998,0.52387404252819403,0.32219371256042073,0.54745644067440624,0.61243594721686578,0.50837732881887321,0.58028211695835463,0.50319917400357617,0.51177323544916142,0.52197735158473091,0.54093930941673274,0.40682975133957028,0.51970358925072246,0.49269907476431352,0.44870188898401803,0.41120624061810096,0.41575621338225688,0.45988461941409131,0.59555849366667257,0.43884608728088353,0.4830464037482109,0.63747883178497577,0.53324943910073141,0.7617248505828198,0.54536215420409173,0.50671939761322304,0.54236556256717616,0.38361519040045722,0.46263962655003898,0.46161518817543368,0.49469693448647228,0.61295033115630304,0.42706475915068975,0.49641313049985708,0.4907157584654756,0.47687290179799663,0.47256356959483542,0.34127108746961132,0.45236764800517887,0.31560657417627092,0.53833563031754605,0.44620948485877754,0.48309100407497851,0.40650872806815569,0.61605125307453967,0.55577894236848158,0.44518513356942929,0.53303244582268505,0.52353791887944967,0.52366687343608653,0.51891952288895915,0.46622270460837623,0.54779348200651012,0.46035037974676474,0.47809476535961626,0.54907792024476876,0.51061473495410825,0.46686269646540468,0.47988825004878127,0.47302198526154182,0.55153450009575178,0.55295970675534245,0.37057584898675427,0.5287792333794481,0.47076646001150152,0.39845864996982477,0.40787223987506027,0.47004666748571844,0.76374367155766709,0.77803452880084112,0.43934405353557038,0.22391112048010342,0.46120080708755989,0.52931854488534602,0.44464181810592734,0.53368209332658356,0.47808265369707803,0.54288715851022462,0.22784350568235329,0.41133932295365921,0.54741305360803394,0.49220610838635881,0.63200633052952382,0.53599913315089831,0.53351490335848417,0.63947673529688887,0.44721699516580971,0.472683002838797,0.33031763356422394,0.26308422722659269,0.48313728931829475,0.49260646301120736,0.4556573274404932,0.70776681833326804,0.44918466229918824,0.51782105879137641,0.47853284810338603,0.44633375312796997,0.53755083036024631,0.53785862342879909,0.52437311795975061,0.51564850672264806,0.52528689720482002,0.43882998760058711,0.50830040758422323,0.35681285776668203,0.47045180006586895,0.55538690990050144,0.41063065640148072,0.52154617795329805,0.5432018385801558,0.53325379799350503,0.77886736225619091,0.490529718494082,0.5466280643696938,0.53912195782403183,0.5459129178260137,0.54812063298877678,0.45292919211090588,0.44633543089496097,0.43415862115820519,0.55960435920602913,0.53146461487721963,0.31578195172778367,0.50719964297056597,0.44360139049309627,0.46042895288367064,0.34929034885386706,0.50470805545404995,0.77163787546938145,0.42902695690477527,0.46289899356092346,0.4725372236867193,0.54481750280485164,0.4747279836680528,0.47575037489050198,0.46974776040375715,0.46826433661749489,0.48042977071635506,0.535911155906442,0.56288231387327137,0.46975719894236928,0.43369573260816974,0.46985371607905912,0.54404126126033059,0.43669544597603382,0.54532676828640747,0.46849751292275077,0.53352754090082255,0.51259998231644888,0.50158529335051028,0.5939813098462986,0.57621476058587173,0.47523204821127657,0.53604478773220876,0.53041522683024911,0.47030697275070787,0.46975840319211637,0.48218472286871444,0.62535143415312144,0.50630220663783876,0.53504247366917945,0.44460596932516722,0.46872316648155771,0.048156023387565756,0.47980742927260478,0.42602668010995742,0.51444462852096207,0.45725455836755041,0.46998268884134992,0.53035118742768217,0.69540200622247128,0.56612223172941234,0.5389077773899299,0.42728314772319603,0.77029403182683109,0.46301725709206953,0.77989056458063644,0.44601041189854523,0.47937153413334754,0.60169794852609026,0.53416335686243022,0.42780972484840302,0.40468566558823643,0.54308672555444648,0.55393962389472395,0.45677181403394118,0.51297169409776433,0.74606161097642765,0.46751134666647354,0.46593895843593919,0.51827939647736465,0.56279334194571473,0.53731525359029519,0.35238689407756307,0.36817409271067653,0.56161673122331379,0.45222645012620138,0.51035039227191592,0.44355283857553074,0.4948803024832874,0.50262596905707491,0.57711871346683108,0.47043343433333507,0.57443724287885112,0.5822972949236711,0.48093766144895761,0.52789027243429953,0.52611505659809488,0.53328875648699736,0.46298881595665276,0.32262533310388763,0.55177811281572064,0.31328498509045088,0.52891815903564299,0.44420816315910838,0.48659110319382604,0.44147689165509552,0.4784510474602533,0.46577505462884672,0.42005173823198705,0.5052592452621415,0.46641699547688031,0.51694298539154138,0.5413972480875735,0.53098826625428985,0.50784446489274893,0.52235273143484218,0.42507851357509102,0.39081269770826177,0.45970081789380962,0.47870828912130448,0.53251439219549201,0.67960340672295616,0.47241159672680438,0.53295365791676019,0.58734677252011769,0.76438815886103351,0.3591101189938351,0.56440888787909149,0.77791567777980464,0.5324754580183233,0.47020286997118621,0.49378777717350497,0.53560833117975615,0.46042189684354573,0.52574600321098464,0.51963197374459202,0.53512084881173938,0.46642724528092322,0.75232537326640014,0.4695726557419253,0.43083526299199326,0.45787356717378647,0.70391590374719848,0.70477485633979364,0.51010670225339938,0.43648388394578996,0.4857407582204683,0.57276727076558576,0.42599775352823555,0.46952898520192099,0.46591279785275341,0.47260738271967723,0.47268352511152295,0.58620347469952949,0.51022520601270449,0.46027989197501673,0.45809621593323324,0.68388093732972743,0.5621652827167497,0.44708833963847844,0.53265629525013469,0.56353900872860652,0.45794391329224976,0.46589129307509153,0.60571380362842531,0.48151510984106277,0.76374680285194685,0.72455869521013216,0.4744924028512158,0.56635319226609848,0.5693566943734788,0.53083211965237964,0.52844735964755596,0.46909897074190149,0.64310640197357261,0.45165363396004615,0.43197839464718818,0.55405022048219021,0.43981101566650477,0.47566863555524236,0.43314861068182142,0.55684101080802817,0.43250421115191862,0.50085784122670207,0.45335473067078536,0.45659006548986736,0.54703450910757079,0.46827612051661388,0.54142139535129985,0.52528401585898776,0.50728539325141109,0.46237357042503224,0.46004654956754587,0.5010831248285641,0.096076862814127389,0.43369446804686052,0.54812917499673253,0.51589055927075067,0.52997354416994136,0.49024417649824648,0.47068940928938308,0.58347295211658756,0.42086015587959108,0.4078897184949748,0.50734326730600521,0.49427118004104681,0.57389872700438416,0.53185269831122106,0.53725156328184176,0.51838842154371467,0.50174779793728985,0.5213556106357542,0.055881837031889467,0.53270837988114761,0.43461880137485381,0.44635177107832064,0.47818743728406377,0.38047171222750709,0.5700870955163686,0.52725078570613904,0.68475402412655462,0.52057659080380558,0.4802605087830995,0.56938115665216937,0.47584064701837503,0.39484276529298934,0.5412579115438968,0.52480771082753852,0.11530102233391802,0.46155338923392175,0.45721222077529838,0.55114943271279093,0.57036520242315036,0.46070912208493098,0.45819240076090462,0.48081138998991407,0.46265657609186767,0.61708269853214803,0.53900398057332966,0.50997185334840556,0.49274206984288926,0.68611367845437332,0.51264942109242873,0.50440671247483571,0.537352826079327,0.5182888991233332,0.47399039221907191,0.58387544533890956,0.33840811824645983,0.58299471310141648,0.46859825180480641,0.45059473738043071,0.55015826610302443,0.55342096673398733,0.45955630723484525,0.5321061458484988,0.55127109683903242,0.49678692144876907,0.47566690807824308,0.46266876028317905,0.49955427262738983,0.46782064127788758,0.62941138503655569,0.77655506890324832,0.51892367186170651,0.52908337235246794,0.51828224180171412,0.45960435901873442,0.52052945707193121,0.18910040697111458,0.53418885702599439,0.43600845270741395,0.51733334477181092,0.44828566803237607,0.45600726003335751,0.48676854727601859,0.44743141790274477,0.49596333609947246,0.51899312815332332,0.46813357483923657,0.53709292135124687,0.54246544391572415,0.52817680752955509,0.54825008425095512,0.5078361650515606,0.43723366219456006,0.47604681542616678,0.45406195098890689,0.51397022799520031,0.43687174532292838,0.47353607284573401,0.73191463588724126,0.56841318853466705,0.50301586017807853,0.5280664405959633,0.40509512156646876,0.47081727078497138,0.55363749592949951,0.46135008264259153,0.47707386504102356,0.49533970506004493,0.52379633598517428]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/huge.json new file mode 100644 index 000000000000..c7905e73cc26 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/huge.json @@ -0,0 +1 @@ +{"C":[0.5000000000291034,0.4999977375614192,0.500003092474997,0.4999950578425465,0.49999856902780665,0.4999959775613739,0.499996467110196,0.49999712897219106,0.4999969279688549,0.500003009640178,0.4999979467405627,0.49999814370270407,0.5000016180205809,0.4999987170219075,0.5000022672878716,0.5000022608443169,0.49999636967797434,0.5000032893351759,0.49999653796793325,0.5000033481065626,0.5000025185572998,0.49999676660971215,0.5000025264475633,0.49999745834993853,0.49999699517001467,0.5000023296506765,0.49999929232837387,0.4999995528038399,0.5000027252961282,0.49999810449933296,0.500001059269147,0.4999977488296204,0.5000024680904175,0.5000004627249983,0.49999869863698626,0.5000011978192438,0.5000018767578976,0.5000011643688262,0.5000015090928468,0.49999803733583736,0.5000015050266904,0.5000001021959254,0.5000018929630159,0.4999984369799147,0.49999877164871176,0.5000006962195375,0.5000004651402378,0.4999984044520849,0.5000013090643404,0.4999987209991643,0.5000014924424813,0.5000007576115955,0.49999845396455317,0.49999850419212455,0.49999924327314577,0.5000001819229325,0.500001023759107,0.499998705671647,0.49999962000099096,0.4999987439288013,0.49999880892950627,0.5000001755337624,0.49999903006750746,0.49999885369747255,0.5000002241320721,0.4999989160653036,0.5000008277153558,0.500000659550076,0.4999995703564999,0.4999991282533209,0.4999989956068069,0.4999997261784635,0.5000006823122726,0.5000009109040459,0.5000006796934996,0.49999950910092666,0.4999994581281138,0.4999995914243122,0.5000000477021445,0.5000007425148331,0.5000001068436317,0.49999958504819897,0.500000689630419,0.4999992501004111,0.49999967568552794,0.5000006310215276,0.5000006523762717,0.49999969108264536,0.49999965325018164,0.49999983965552336,0.5000000928255302,0.49999949398025334,0.5000004086871183,0.4999997709846971,0.4999996019232249,0.5000005655217525,0.49999946186443145,0.4999994624693002,0.49999964838432315,0.5000002012121051,0.49999960013856876,0.5000004780438154,0.5000004653232405,0.49999970171925195,0.49999959475099903,0.4999998194661803,0.5000001614470642,0.5000002677092518,0.5000001088920214,0.4999996531537858,0.5000002974957263,0.4999996947168733,0.49999986415382947,0.4999999804818046,0.5000002020369066,0.499999960664355,0.49999981503502244,0.5000002108763818,0.4999997215776508,0.49999990769431846,0.5000002957332021,0.5000000217638699,0.4999997688509579,0.49999971071847626,0.500000251880606,0.49999972993823494,0.4999998193521834,0.5000002489493562,0.500000181458191,0.5000000727546376,0.49999975257523527,0.49999979142787937,0.5000001817262208,0.500000230560078,0.500000206602825,0.500000184761704,0.49999987273359436,0.5000001894855008,0.5000000394701927,0.5000001375932209,0.5000000526841968,0.5000001025649471,0.5000000265361977,0.4999998945897301,0.5000001014322966,0.4999999353691031,0.5000001642475536,0.5000001278518856,0.49999989417874824,0.4999998675441824,0.49999985320837537,0.5000000211501135,0.4999999472898895,0.49999988914148413,0.5000000726324424,0.5000000982805397,0.5000001251630574,0.49999987067083007,0.5000001148057723,0.49999988441571386,0.49999996259221785,0.50000010551732,0.49999994345381743,0.5000000357406515,0.5000000289078221,0.5000001068928365,0.49999993864364684,0.49999989852121146,0.4999999785477065,0.49999997364723525,0.5000000450631576,0.5000000605313241,0.49999991163445284,0.4999999677841243,0.49999998870679396,0.4999999897664719,0.4999999738030019,0.5000000052841134,0.49999998872332474,0.5000000335778844,0.4999999711753037,0.4999999306864359,0.4999999273468764,0.49999998700445525,0.5000000648443882,0.5000000675523694,0.49999993668850873,0.4999999368226943,0.49999996000838004,0.4999999508134811,0.5000000576397781,0.4999999440746527,0.4999999556560407,0.4999999772287334,0.5000000450100979,0.5000000413923756,0.500000006069302,0.5000000389187248,0.4999999506582925,0.5000000477183689,0.49999996478618886,0.49999997599274043,0.5000000439212472,0.500000041503977,0.4999999839619982,0.49999998566141696,0.5000000372304747,0.49999997129179496,0.49999996065916996,0.5000000385523146,0.5000000360565825,0.5000000193472123,0.5000000357901108,0.49999997559077897,0.5000000157611172,0.5000000324243399,0.5000000008882035,0.499999971206732,0.500000006488907,0.49999997290935566,0.5000000235366927,0.4999999728977625,0.49999997472637897,0.499999983550912,0.4999999920689155,0.49999999761835,0.49999997914519134,0.4999999794311685,0.5000000246148449,0.49999998227878056,0.5000000052013254,0.5000000010743122,0.5000000224165096,0.49999999530639483,0.4999999793395469,0.5000000202723466,0.5000000129868597,0.49999998158745496,0.49999999996022887,0.500000001985974,0.5000000057143053,0.5000000181444293,0.49999999264789147,0.5000000037240004,0.49999998400771295,0.5000000067274573,0.5000000111729132,0.5000000039760418,0.5000000098977169,0.5000000089138267,0.49999998554816416,0.5000000142214326,0.5000000130994217,0.4999999985487314,0.4999999866417679,0.5000000073119354,0.500000011501829,0.5000000049948267,0.5000000117502317,0.49999999920124216,0.49999999277617085,0.5000000033097629,0.49999999710917126,0.5000000074080287,0.5000000066700606,0.4999999943506521,0.5000000091615492,0.5000000064885602,0.5000000086506664,0.49999999518848265,0.5000000074686745,0.4999999984627732,0.4999999962183002,0.49999999152200436,0.49999999368372644,0.5000000062318356,0.4999999921657716,0.4999999951737816,0.49999999434895076,0.4999999950642688,0.5000000042018867,0.500000006867504,0.4999999942563035,0.500000006730767,0.5000000006202365,0.5000000046206592,0.49999999421743835,0.5000000016417463,0.5000000059304339,0.50000000565881,0.5000000040212944,0.5000000022771016,0.5000000047513578,0.4999999950646428,0.4999999958274253,0.4999999994664076,0.5000000000397451,0.5000000008354529,0.4999999957685465,0.500000001596139,0.499999995588792,0.4999999998921754,0.49999999575452647,0.5000000031330848,0.4999999967733376,0.5000000011694828,0.5000000002005845,0.4999999966098067,0.49999999634793774,0.4999999997470885,0.5000000009779924,0.4999999993662541,0.5000000005318441,0.4999999970840725,0.49999999720574845,0.500000000510872,0.5000000010081957,0.500000002912342,0.5000000029551558,0.4999999971379915,0.5000000007693537,0.500000002592874,0.5000000001734846,0.5000000026245845,0.5000000022510623,0.4999999989037955,0.49999999872522494,0.5000000023861125,0.49999999788967825,0.50000000141429,0.4999999979045009,0.49999999845638116,0.5000000006237303,0.49999999993947075,0.49999999821851165,0.4999999990034042,0.4999999981183224,0.4999999987176325,0.49999999934446443,0.5000000012686922,0.5000000007650954,0.4999999996027726,0.4999999993080903,0.5000000015736292,0.49999999845672405,0.49999999844018844,0.5000000012571133,0.5000000012969116,0.4999999988107988,0.5000000004306924,0.49999999982309773,0.5000000005077433,0.49999999994843486,0.49999999874549683,0.5000000007512466,0.4999999990855601,0.5000000011229709,0.5000000010277224,0.49999999962116354,0.500000001116048,0.4999999998394987,0.4999999989327436,0.5000000007741959,0.500000001022633,0.5000000007449946,0.5000000005737074,0.500000000827578,0.5000000008546654,0.5000000004978594,0.5000000006430272,0.4999999993051715,0.5000000000330918,0.5000000001362539,0.49999999920208266,0.4999999992185323,0.5000000006814409,0.4999999993901976,0.4999999997104094,0.4999999993052189,0.5000000005911085,0.5000000002106352,0.4999999994631754,0.49999999961902314,0.49999999972468406,0.49999999949936874,0.4999999996507777,0.5000000005341828,0.5000000001695384,0.5000000000430879,0.499999999777331,0.5000000005089769,0.4999999995749808,0.49999999981799226,0.4999999995011132,0.49999999956497304,0.49999999953621704,0.49999999967040837,0.5000000002307223,0.49999999961227604,0.5000000000914168,0.49999999997822575,0.5000000004014656,0.49999999987448995,0.5000000003991814,0.5000000001793031,0.4999999997088415,0.49999999987115307,0.4999999996951317,0.49999999980638854,0.5000000003127459,0.49999999991002453,0.5000000002930104,0.4999999998321187,0.49999999968470993,0.5000000001381407,0.4999999997228748,0.5000000002488161,0.5000000000895312,0.4999999997332532,0.49999999976094844,0.4999999999559912,0.49999999973879944,0.49999999981933424,0.4999999998450273,0.5000000000950209,0.5000000000036693,0.4999999998499927,0.5000000000423706,0.49999999979979964,0.4999999998661774,0.4999999999966654,0.5000000001258524,0.500000000191757,0.4999999999099027,0.5000000001262241,0.49999999992050487,0.5000000000080143,0.4999999999468239,0.5000000000745644,0.49999999997759176,0.5000000000142251,0.49999999984865917,0.49999999989851784,0.4999999999195845,0.5000000001406665,0.5000000000233209,0.4999999999563175,0.5000000000322886,0.49999999996889893,0.5000000000014532,0.5000000000822801,0.4999999999887213,0.5000000000566448,0.49999999990342125,0.4999999999708194,0.4999999998831197,0.4999999999157556,0.5000000000887017,0.5000000001030398,0.4999999999380794,0.500000000103779,0.5000000000883206,0.5000000000054504,0.5000000000819528,0.49999999994099886,0.49999999999036876,0.5000000000189545,0.49999999992056604,0.5000000000601148,0.49999999992202915,0.5000000000206355,0.49999999992043825,0.5000000000354833,0.500000000014688,0.5000000000118151,0.5000000000175737,0.5000000000216297,0.5000000000681322,0.49999999994196553,0.4999999999334095,0.4999999999513685,0.49999999996021344,0.500000000062056,0.5000000000351732,0.4999999999578359,0.5000000000181309,0.5000000000362038,0.4999999999706208,0.49999999994657357,0.5000000000127629,0.5000000000349768,0.49999999995595196,0.4999999999856201,0.499999999953354,0.5000000000463987,0.49999999997576045,0.4999999999976186,0.49999999995925365,0.4999999999603568,0.4999999999819416,0.5000000000385688,0.4999999999611657,0.4999999999638576,0.49999999996453764,0.4999999999762168,0.5000000000009838,0.500000000019102,0.4999999999671283,0.500000000032815,0.4999999999674744,0.5000000000320872,0.500000000000181,0.500000000029491,0.5000000000086572,0.4999999999762639,0.5000000000270861,0.49999999997676897,0.49999999997286804,0.49999999997469774,0.4999999999756939,0.5000000000249304,0.500000000023008,0.500000000012267,0.49999999999063555,0.49999999998290895,0.49999999998559463,0.5000000000202506,0.5000000000006204,0.4999999999876862,0.5000000000103398,0.5000000000198704,0.5000000000080477,0.4999999999956649,0.49999999998506944,0.4999999999955902,0.4999999999886093,0.5000000000167254,0.5000000000164876,0.49999999998508615,0.5000000000142579,0.49999999998435923,0.5000000000142276,0.49999999999508965,0.5000000000095246,0.5000000000106254,0.49999999999709005,0.49999999998759764,0.4999999999990168,0.4999999999941048,0.49999999999715544,0.5000000000008167,0.5000000000050816,0.49999999999027206,0.49999999999519174,0.49999999999706973,0.5000000000057392,0.5000000000108477,0.5000000000088575,0.5000000000079837,0.5000000000010167,0.5000000000062934,0.5000000000076709,0.5000000000094241,0.5000000000068489,0.49999999999135947,0.4999999999913707,0.500000000000084,0.4999999999972216,0.5000000000081642,0.4999999999984061,0.5000000000045325,0.500000000007431,0.49999999999262684,0.49999999999811323,0.5000000000070799,0.49999999999523415,0.49999999999344763,0.4999999999955367,0.5000000000064208,0.49999999999441125,0.49999999999474726,0.4999999999989358,0.5000000000002813,0.49999999999747274,0.4999999999964156,0.4999999999953606,0.49999999999935407,0.5000000000050681,0.5000000000031503,0.5000000000027965,0.49999999999586964,0.500000000004663,0.4999999999995536,0.4999999999955748,0.5000000000030725,0.5000000000031088,0.5000000000007967,0.5000000000030699,0.5000000000016943,0.5000000000038052,0.5000000000000685,0.49999999999636996,0.49999999999776007,0.5000000000031146,0.5000000000003798,0.4999999999984229,0.49999999999672196,0.4999999999967709,0.5000000000000253,0.500000000002392,0.5000000000022214,0.4999999999990514,0.49999999999734823,0.49999999999830436,0.4999999999988644,0.49999999999909733,0.4999999999978273,0.49999999999836653,0.5000000000024134,0.500000000000503,0.499999999998665,0.49999999999796674,0.49999999999826333,0.5000000000006848,0.5000000000020407,0.49999999999859157,0.5000000000019234,0.4999999999980507,0.5000000000002545,0.5000000000012411,0.4999999999985233,0.4999999999992039,0.5000000000014695,0.5000000000012932,0.4999999999993189,0.5000000000015354,0.4999999999987695,0.5000000000006664,0.5000000000014369,0.4999999999989658,0.4999999999985861,0.5000000000014424,0.5000000000013514,0.5000000000000825,0.5000000000004232,0.5000000000003275,0.5000000000008179,0.499999999999368,0.5000000000003456,0.4999999999996767,0.50000000000082,0.4999999999999756,0.5000000000003558,0.49999999999890143,0.5000000000003918,0.5000000000006577,0.5000000000009205,0.49999999999994776,0.5000000000000243,0.4999999999992157,0.5000000000005039,0.49999999999981926,0.499999999999738,0.4999999999991809,0.5000000000005198,0.5000000000007346,0.5000000000003652,0.49999999999999617,0.4999999999997584,0.5000000000003264,0.49999999999975964,0.49999999999936157,0.49999999999984945,0.5000000000001478,0.5000000000002941,0.49999999999968336,0.5000000000003058,0.499999999999374,0.5000000000004927,0.5000000000005356,0.49999999999981115,0.49999999999965594,0.4999999999996311,0.49999999999955147,0.499999999999532,0.5000000000004061,0.5000000000003646,0.5000000000000067,0.5000000000000072,0.5000000000003564,0.49999999999954126,0.5000000000000008,0.5000000000002089,0.5000000000004108,0.49999999999999933,0.5000000000003827,0.5000000000004009,0.49999999999964534,0.49999999999978256,0.4999999999996269,0.5000000000003647,0.5000000000002183,0.5000000000003194,0.4999999999997141,0.49999999999973227,0.5000000000002501,0.500000000000008,0.49999999999991634,0.49999999999970113,0.4999999999997065,0.5000000000000171,0.5000000000000517,0.4999999999998716,0.4999999999997626,0.500000000000068,0.49999999999976863,0.5000000000002373,0.4999999999997629,0.5000000000001114,0.5000000000002316,0.49999999999977357,0.5000000000001527,0.49999999999979633,0.4999999999998612,0.499999999999826,0.5000000000001549,0.5000000000001854,0.4999999999998068,0.49999999999981504,0.49999999999985956,0.500000000000155,0.4999999999999494,0.4999999999998301,0.500000000000068,0.49999999999984374,0.49999999999986966,0.5000000000000373,0.5000000000001312,0.500000000000146,0.5000000000001356,0.4999999999999553,0.5000000000001299,0.5000000000001357,0.49999999999988703,0.49999999999998823,0.5000000000001041,0.4999999999999857,0.49999999999989897,0.5000000000000364,0.49999999999988676,0.4999999999999163,0.49999999999992906,0.5000000000000875,0.4999999999999318,0.5000000000000041,0.500000000000032,0.49999999999991984,0.5000000000000451,0.5000000000000209,0.5000000000000758,0.4999999999999144,0.4999999999999496,0.4999999999999374,0.49999999999992906,0.5000000000000807,0.4999999999999666,0.4999999999999916,0.5000000000000134,0.5000000000000696,0.5000000000000484,0.49999999999994027,0.4999999999999371,0.5000000000000637,0.5000000000000068,0.49999999999999223,0.5000000000000479,0.4999999999999394,0.5000000000000341,0.4999999999999959,0.5000000000000356,0.500000000000001,0.4999999999999527,0.500000000000043,0.49999999999995476,0.5000000000000421,0.4999999999999547,0.49999999999996514,0.49999999999995576,0.4999999999999921,0.4999999999999844,0.4999999999999645,0.5000000000000341,0.5000000000000054,0.5000000000000382,0.5000000000000303,0.5000000000000271,0.5000000000000141,0.5000000000000094,0.49999999999997824,0.5000000000000326,0.5000000000000229,0.5,0.49999999999999395,0.5000000000000288,0.499999999999986,0.5000000000000285,0.49999999999997596,0.49999999999999234,0.5000000000000144,0.5000000000000023,0.4999999999999987,0.5000000000000084,0.49999999999998346,0.49999999999999234,0.5000000000000031,0.5000000000000107,0.4999999999999925,0.4999999999999773,0.5000000000000104,0.49999999999999906,0.5000000000000199,0.49999999999998335,0.500000000000013,0.49999999999999417,0.49999999999998246,0.499999999999987,0.4999999999999813,0.4999999999999821,0.500000000000013,0.49999999999999106,0.49999999999998823,0.5000000000000063,0.5000000000000061,0.5000000000000046,0.49999999999999584,0.4999999999999867,0.4999999999999959,0.499999999999986,0.49999999999999023,0.5000000000000094,0.4999999999999971,0.5,0.4999999999999903,0.4999999999999935,0.5000000000000122,0.49999999999999223,0.4999999999999951,0.4999999999999923,0.5000000000000082,0.5000000000000109,0.5000000000000056,0.500000000000002,0.500000000000004,0.4999999999999969,0.5000000000000011,0.5000000000000063,0.5000000000000057,0.5000000000000085,0.5000000000000028,0.5000000000000085,0.4999999999999921,0.5000000000000081,0.5000000000000074,0.5000000000000073,0.49999999999999273,0.4999999999999926,0.4999999999999958,0.4999999999999931,0.500000000000006,0.4999999999999964,0.5000000000000066,0.4999999999999944,0.5000000000000063,0.5000000000000054,0.49999999999999545,0.5000000000000006,0.49999999999999895,0.5000000000000026,0.500000000000005,0.5000000000000053,0.5000000000000052,0.500000000000005,0.5000000000000047,0.5000000000000048,0.5000000000000039,0.4999999999999967,0.5000000000000042,0.4999999999999992,0.5000000000000026,0.5000000000000042,0.5000000000000036,0.5000000000000027,0.4999999999999973,0.4999999999999993,0.5000000000000008,0.5000000000000036,0.5000000000000012,0.4999999999999965,0.5000000000000033,0.4999999999999998,0.4999999999999981,0.4999999999999978,0.5000000000000031,0.49999999999999756,0.49999999999999784,0.5000000000000014,0.49999999999999795,0.49999999999999983,0.49999999999999956,0.4999999999999975,0.5000000000000026,0.4999999999999984,0.5000000000000012,0.49999999999999883,0.4999999999999982,0.5000000000000009,0.5000000000000009,0.49999999999999833,0.5000000000000014,0.4999999999999993,0.5000000000000019,0.500000000000002,0.49999999999999883,0.49999999999999833,0.5000000000000013,0.5000000000000017,0.5000000000000016,0.5000000000000003,0.500000000000001,0.5000000000000013,0.5000000000000008,0.4999999999999985,0.4999999999999988,0.4999999999999987,0.4999999999999987,0.5000000000000006,0.5000000000000012,0.4999999999999995,0.4999999999999999,0.5000000000000002,0.5000000000000011,0.4999999999999995,0.5000000000000008,0.5000000000000008,0.5000000000000004,0.5000000000000011,0.5000000000000007,0.499999999999999,0.4999999999999992,0.500000000000001,0.499999999999999,0.500000000000001,0.5000000000000009,0.4999999999999992,0.5000000000000002,0.5,0.5000000000000009,0.4999999999999993,0.5000000000000001,0.5000000000000001,0.5000000000000003,0.5000000000000008,0.5000000000000004,0.5000000000000004,0.5000000000000006,0.5,0.49999999999999956,0.5000000000000003,0.49999999999999994,0.5000000000000006,0.5000000000000001,0.4999999999999999,0.49999999999999944,0.4999999999999995,0.49999999999999944,0.5000000000000006,0.5000000000000003,0.5,0.5000000000000003,0.5000000000000001,0.5,0.49999999999999967,0.5000000000000004,0.5000000000000001,0.5000000000000004,0.5000000000000002,0.5,0.49999999999999967,0.49999999999999983,0.4999999999999999,0.49999999999999983,0.5,0.4999999999999998,0.5000000000000003,0.5000000000000001,0.5000000000000003,0.49999999999999967,0.5,0.5,0.5],"S":[0.49999469483523035,0.4999953383790064,0.5000040062611079,0.4999999016045209,0.5000046111013849,0.4999975388974271,0.49999704496837866,0.5000034632810127,0.49999685861876364,0.5000030592688386,0.5000036542432312,0.4999963510476143,0.49999634332813536,0.4999963111978091,0.500003067674773,0.49999703857317795,0.5000002515912226,0.49999865341583255,0.5000002566753228,0.4999994642504265,0.49999784952498,0.5000000896990281,0.5000018969295601,0.49999825017706256,0.4999997663462193,0.4999982004918906,0.500002786727628,0.5000027723946421,0.5000003097371565,0.5000018931402594,0.5000023925961901,0.5000012098218567,0.5000003732837132,0.5000023937225664,0.5000019942135671,0.5000019936565436,0.4999987200648196,0.5000018886970389,0.5000015553069289,0.4999992074539501,0.5000014173435963,0.4999979833681624,0.5000005534196513,0.500001125843065,0.5000014251034433,0.5000017006229215,0.5000017335099929,0.49999927380064135,0.5000011036485877,0.5000010774544345,0.49999933619350373,0.50000140401059,0.49999980546156053,0.5000002808406776,0.49999872052237815,0.5000014404497843,0.4999990187338968,0.49999950692781325,0.49999870165208354,0.5000004100687795,0.5000004968542883,0.5000012482153402,0.49999924174306704,0.500000363246682,0.5000011528957372,0.5000003754980448,0.5000007551372408,0.5000008732457971,0.4999990213018641,0.5000005743844017,0.5000001757568431,0.5000009575297731,0.49999930671835396,0.49999973001384246,0.4999993682490874,0.49999923810984875,0.5000007000168922,0.49999923799916435,0.5000008431456778,0.4999996408114894,0.5000007985076782,0.4999993314404885,0.49999966078260816,0.49999996649475725,0.500000657538508,0.5000003385367101,0.49999974781401946,0.50000060929985,0.4999994299466302,0.500000631660226,0.4999993702855503,0.5000003611821011,0.49999955089722875,0.4999994529175126,0.5000004208230958,0.49999998275260576,0.5000001256521108,0.4999999511811852,0.500000392785039,0.49999952604253584,0.4999996949919468,0.5000001129245095,0.49999988318094507,0.4999996386044608,0.5000002127081251,0.4999995910530819,0.5000004056688336,0.4999996680515468,0.4999995979675761,0.4999997873969861,0.500000263402668,0.5000002396243779,0.49999964612023334,0.4999996302830254,0.4999997000939792,0.4999996490063212,0.5000002911874999,0.500000262785038,0.5000001754438711,0.49999969211291734,0.5000001053629064,0.49999969414161255,0.5000001904350059,0.49999995660513774,0.5000001348504355,0.49999992972934604,0.5000002040918001,0.49999990570226716,0.5000001862227078,0.5000002433125527,0.5000000175131524,0.5000001232538746,0.5000001515516231,0.49999998396329476,0.49999990905039027,0.500000120309046,0.500000173715181,0.5000000912933719,0.49999979839366177,0.5000001460432011,0.4999998112361416,0.49999983838300976,0.49999981493509615,0.49999985089247434,0.49999985329925445,0.4999998382336616,0.500000044401729,0.5000001061613253,0.5000001230734845,0.49999991289046725,0.4999999507248451,0.499999850250387,0.49999986201027685,0.4999999076657694,0.4999998792453908,0.5000000963540723,0.499999950954376,0.4999999773404724,0.4999999428542931,0.5000000482628347,0.5000001164798649,0.49999994392766595,0.4999998979051471,0.5000001082427934,0.49999989248182825,0.5000000199797872,0.49999991330293986,0.49999997846393845,0.499999900973696,0.5000000953907963,0.49999991448745,0.4999999275499895,0.5000000263501378,0.5000000841045428,0.5000000872384709,0.49999991469351085,0.5000000797236964,0.4999999182069943,0.5000000792568005,0.4999999293859217,0.49999992927832676,0.49999997243922784,0.5000000054216507,0.5000000699619772,0.500000025014085,0.49999999330369166,0.5000000196905007,0.49999998577505933,0.5000000490037201,0.5000000373796535,0.5000000178477345,0.4999999814080616,0.49999996329781676,0.5000000514042513,0.50000003145678,0.4999999658925819,0.499999947967285,0.5000000332153898,0.4999999920735682,0.5000000102683506,0.4999999678626465,0.4999999601018663,0.49999998819592084,0.5000000158312413,0.4999999596866165,0.5000000398766826,0.4999999819173335,0.49999997153808384,0.5000000033646211,0.5000000009913158,0.49999998910360444,0.5000000312920068,0.499999996794721,0.5000000252183414,0.5000000304411963,0.5000000083459829,0.5000000326895669,0.5000000138247137,0.5000000305141432,0.4999999860529225,0.500000018213045,0.49999998949317065,0.4999999870663611,0.4999999776759628,0.5000000258967341,0.5000000263459201,0.5000000152527893,0.5000000146207785,0.500000001281032,0.49999998370500603,0.4999999770688301,0.49999997705899046,0.50000000081683,0.49999997859958784,0.49999999442687876,0.5000000050861888,0.4999999842496896,0.4999999923496475,0.5000000194743394,0.4999999810830401,0.5000000176773761,0.5000000001910937,0.4999999838739822,0.4999999830950767,0.49999999451370236,0.5000000150810122,0.4999999883677124,0.4999999847565948,0.500000011780613,0.4999999879006436,0.5000000025690111,0.49999999818634255,0.500000004948052,0.5000000135995182,0.4999999999665545,0.5000000108058211,0.5000000054866038,0.4999999885994753,0.4999999968820336,0.4999999881530911,0.49999999092727937,0.500000010832951,0.5000000106791758,0.49999999213304713,0.49999999182053834,0.4999999913772968,0.4999999958237588,0.49999999261031,0.4999999958258378,0.5000000080536058,0.5000000053084108,0.500000008816619,0.49999999211913904,0.5000000010079108,0.5000000054444403,0.5000000052441242,0.5000000013813646,0.4999999939108175,0.5000000050653197,0.5000000055298797,0.5000000058954525,0.5000000016843975,0.5000000038351518,0.4999999995530414,0.5000000065592616,0.500000004478853,0.49999999753695973,0.49999999408468454,0.5000000008841007,0.49999999849176185,0.49999999593213795,0.5000000051016836,0.5000000026833445,0.500000002011836,0.49999999688753594,0.500000005056268,0.4999999950342021,0.5000000047778316,0.5000000021301712,0.49999999565693887,0.5000000009826705,0.49999999558721325,0.49999999924936533,0.5000000028134927,0.5000000025503828,0.5000000038431133,0.49999999608155393,0.49999999821325025,0.4999999991800177,0.4999999963529295,0.5000000034341602,0.5000000034294961,0.5000000033645776,0.4999999983979577,0.5000000016588683,0.4999999968674836,0.49999999706852843,0.5000000008282052,0.500000000112914,0.4999999996100514,0.4999999972857353,0.5000000009326319,0.4999999973142555,0.5000000001465758,0.5000000012347467,0.5000000022553955,0.5000000020914059,0.5000000001713968,0.4999999989969844,0.49999999820891244,0.5000000007598508,0.5000000015352666,0.49999999796711986,0.4999999979239804,0.5000000009701956,0.5000000017124178,0.5000000004518657,0.4999999986114545,0.5000000017257936,0.5000000012812669,0.49999999841374415,0.5000000016736281,0.5000000015309782,0.5000000004651942,0.49999999956747854,0.5000000001323972,0.5000000008702957,0.5000000007403839,0.500000000844571,0.5000000013579691,0.4999999986198314,0.49999999873934947,0.5000000013264122,0.500000000327335,0.5000000010194048,0.49999999916720395,0.500000000445281,0.49999999942038287,0.5000000010883814,0.5000000001462842,0.4999999989123941,0.4999999998817631,0.4999999992924929,0.499999999940504,0.49999999933216516,0.5000000007910788,0.49999999952449325,0.5000000003723014,0.5000000007623625,0.5000000006143427,0.49999999947874085,0.500000000847747,0.49999999918264104,0.49999999986448496,0.49999999988085764,0.5000000003629916,0.5000000004436526,0.500000000677236,0.4999999998133986,0.49999999962011776,0.4999999993468325,0.500000000401417,0.49999999946756035,0.4999999994228454,0.49999999962656494,0.5000000005001745,0.5000000002639151,0.5000000005567039,0.5000000005667612,0.49999999949145013,0.5000000001869789,0.4999999996840186,0.500000000484199,0.4999999999201774,0.4999999997670574,0.49999999986882127,0.4999999996638757,0.49999999960228503,0.4999999997733958,0.4999999995710017,0.5000000004278632,0.49999999988202365,0.4999999996110512,0.4999999999997306,0.5000000003462107,0.5000000002454416,0.49999999965108943,0.5000000001975551,0.500000000297343,0.4999999998506901,0.4999999996736875,0.5000000001531232,0.5000000002758384,0.4999999999920162,0.4999999997246633,0.5000000001171625,0.49999999984363713,0.4999999997272949,0.5000000000862446,0.5000000001335251,0.4999999997362067,0.4999999999975705,0.5000000001801416,0.4999999998048627,0.5000000002240715,0.49999999976230897,0.49999999982277904,0.49999999977721565,0.5000000000947673,0.49999999983001653,0.5000000002112759,0.5000000001635687,0.5000000000621477,0.5000000001750581,0.499999999854927,0.5000000001701681,0.4999999998167277,0.5000000001711032,0.49999999984167603,0.5000000001694537,0.49999999983365834,0.5000000000607041,0.5000000001227459,0.5000000001331579,0.49999999994258165,0.4999999998534477,0.5000000001382017,0.4999999998621655,0.5000000001347263,0.4999999998649578,0.5000000001030972,0.5000000001283393,0.5000000001123637,0.49999999992398714,0.4999999998835584,0.49999999999073297,0.5000000000775695,0.5000000000681362,0.5000000000362974,0.5000000000868977,0.5000000000095531,0.5000000000506053,0.5000000000992714,0.49999999994791067,0.499999999925741,0.4999999999078657,0.5000000000884717,0.4999999999612709,0.5000000000619391,0.4999999999679396,0.4999999999202857,0.4999999999882509,0.49999999992991906,0.5000000000753038,0.4999999999260009,0.5000000000710504,0.5000000000681365,0.5000000000152712,0.5000000000358163,0.5000000000015636,0.4999999999567853,0.4999999999504546,0.4999999999990395,0.49999999995062966,0.5000000000415649,0.5000000000549124,0.5000000000433528,0.49999999995330735,0.4999999999930082,0.49999999994894373,0.5000000000376666,0.5000000000240897,0.49999999995311983,0.5000000000108629,0.5000000000059532,0.5000000000387298,0.4999999999554377,0.5000000000154771,0.5000000000155173,0.5000000000374545,0.5000000000127206,0.49999999999191636,0.49999999998604466,0.5000000000132047,0.49999999997170885,0.5000000000360858,0.4999999999703641,0.49999999998973327,0.5000000000073854,0.49999999999537625,0.49999999999983447,0.5000000000313399,0.49999999999179645,0.5000000000286171,0.5000000000170101,0.500000000008935,0.5000000000153744,0.49999999999795375,0.4999999999918728,0.5000000000091083,0.4999999999953944,0.5000000000091535,0.49999999997915645,0.49999999997831324,0.500000000015499,0.5000000000173294,0.49999999999137645,0.5000000000214888,0.5000000000170074,0.5000000000177109,0.499999999997471,0.5000000000178324,0.4999999999813895,0.49999999998880107,0.4999999999823122,0.4999999999863157,0.5000000000047622,0.5000000000040812,0.5000000000072662,0.4999999999923017,0.5000000000024154,0.4999999999939572,0.49999999998572314,0.4999999999887425,0.4999999999902767,0.5000000000137632,0.49999999999408684,0.49999999998661615,0.4999999999882931,0.49999999998751776,0.49999999998752254,0.4999999999888944,0.5000000000069036,0.5000000000106124,0.4999999999890042,0.5000000000095182,0.5000000000004196,0.5000000000058282,0.5000000000065962,0.4999999999899362,0.5000000000076156,0.500000000005854,0.5000000000001036,0.49999999999384936,0.5000000000024857,0.49999999999837186,0.5000000000085767,0.49999999999209677,0.49999999999945555,0.5000000000078313,0.49999999999364503,0.5000000000017045,0.500000000001042,0.500000000007024,0.4999999999994191,0.5000000000050424,0.49999999999827077,0.5000000000048876,0.500000000000754,0.5000000000029386,0.49999999999676836,0.4999999999940711,0.5000000000058766,0.4999999999948392,0.49999999999568107,0.5000000000029201,0.5000000000053152,0.49999999999871025,0.4999999999959794,0.4999999999958686,0.5000000000025853,0.49999999999904804,0.500000000004627,0.5000000000010154,0.5000000000031974,0.49999999999698425,0.4999999999958453,0.5000000000027656,0.4999999999963372,0.5000000000010282,0.4999999999961507,0.4999999999990189,0.5000000000029106,0.5000000000017796,0.500000000003483,0.500000000003037,0.4999999999993474,0.50000000000048,0.49999999999681155,0.5000000000019943,0.5000000000020779,0.49999999999718453,0.5000000000011784,0.5000000000022711,0.4999999999974754,0.5000000000025486,0.4999999999984989,0.4999999999980038,0.49999999999927736,0.5000000000024086,0.5000000000019984,0.499999999998827,0.5000000000014968,0.5000000000021321,0.5000000000007869,0.49999999999839384,0.4999999999991911,0.5000000000005945,0.5000000000019741,0.49999999999850364,0.5000000000011937,0.4999999999983249,0.49999999999894085,0.5000000000012075,0.5000000000015882,0.5000000000007008,0.500000000001097,0.49999999999853423,0.5000000000006392,0.4999999999988643,0.5000000000005017,0.500000000000258,0.49999999999952877,0.5000000000013954,0.5000000000012981,0.4999999999987073,0.49999999999898637,0.5000000000011041,0.5000000000011935,0.49999999999883027,0.4999999999991441,0.49999999999884254,0.49999999999892664,0.5000000000001139,0.4999999999989949,0.5000000000008231,0.4999999999995399,0.5000000000010038,0.49999999999901856,0.5000000000005516,0.4999999999992106,0.4999999999991033,0.49999999999914585,0.49999999999969913,0.4999999999993246,0.5000000000003915,0.4999999999992735,0.5000000000007941,0.5000000000007371,0.5000000000006837,0.5000000000006999,0.5000000000003387,0.49999999999931033,0.5000000000006735,0.4999999999993942,0.4999999999994235,0.500000000000565,0.4999999999999573,0.5000000000003644,0.5000000000002672,0.5000000000005533,0.5000000000004557,0.5000000000004182,0.49999999999969086,0.4999999999997469,0.49999999999967576,0.49999999999964684,0.5000000000004957,0.5000000000004842,0.4999999999996892,0.49999999999994593,0.5000000000004512,0.5000000000003879,0.4999999999998715,0.5000000000004203,0.5000000000001489,0.4999999999999896,0.5000000000001662,0.4999999999996852,0.5000000000000211,0.5000000000000137,0.5000000000002818,0.4999999999998615,0.5000000000001842,0.49999999999980344,0.5000000000002065,0.49999999999968325,0.500000000000298,0.499999999999955,0.49999999999996814,0.5000000000002879,0.49999999999972317,0.5000000000002432,0.4999999999998742,0.49999999999974654,0.4999999999998897,0.49999999999992006,0.4999999999999402,0.4999999999997887,0.4999999999999722,0.4999999999999747,0.5000000000001619,0.5000000000000758,0.5000000000001606,0.5000000000001127,0.49999999999986955,0.500000000000069,0.5000000000000024,0.5000000000000373,0.5000000000001193,0.49999999999990846,0.5000000000001684,0.49999999999997513,0.5000000000001533,0.5000000000000492,0.4999999999999072,0.49999999999984823,0.499999999999922,0.50000000000003,0.4999999999999469,0.500000000000135,0.5000000000000493,0.5000000000000024,0.5000000000000693,0.5000000000001289,0.4999999999999283,0.5000000000001227,0.5000000000000658,0.500000000000112,0.49999999999997957,0.5000000000000749,0.4999999999999163,0.499999999999938,0.5000000000000794,0.4999999999998978,0.49999999999990535,0.5000000000000556,0.499999999999916,0.4999999999999093,0.4999999999999498,0.4999999999999764,0.49999999999992945,0.499999999999943,0.5000000000000425,0.4999999999999962,0.4999999999999285,0.5000000000000766,0.500000000000074,0.49999999999997624,0.499999999999947,0.4999999999999632,0.4999999999999728,0.4999999999999796,0.5000000000000651,0.49999999999993666,0.50000000000004,0.5000000000000056,0.49999999999995126,0.49999999999994205,0.4999999999999558,0.4999999999999446,0.5000000000000263,0.4999999999999692,0.49999999999997513,0.4999999999999723,0.5000000000000194,0.5000000000000332,0.4999999999999842,0.5000000000000452,0.499999999999958,0.4999999999999744,0.49999999999997413,0.4999999999999586,0.4999999999999858,0.500000000000026,0.499999999999972,0.4999999999999647,0.4999999999999641,0.49999999999997097,0.49999999999998623,0.500000000000026,0.4999999999999662,0.4999999999999675,0.49999999999998535,0.4999999999999718,0.4999999999999885,0.500000000000018,0.4999999999999717,0.5000000000000248,0.5000000000000279,0.5000000000000273,0.5000000000000253,0.49999999999997985,0.4999999999999757,0.4999999999999753,0.49999999999997813,0.49999999999997746,0.4999999999999952,0.4999999999999799,0.5000000000000221,0.4999999999999916,0.500000000000013,0.500000000000016,0.49999999999998074,0.4999999999999911,0.5000000000000141,0.5000000000000013,0.4999999999999959,0.5000000000000123,0.499999999999985,0.4999999999999876,0.49999999999998457,0.5000000000000151,0.5000000000000152,0.500000000000015,0.5000000000000072,0.5000000000000142,0.4999999999999964,0.4999999999999898,0.4999999999999899,0.49999999999998684,0.49999999999998684,0.5000000000000084,0.4999999999999893,0.5000000000000014,0.5000000000000091,0.5000000000000107,0.5000000000000084,0.49999999999999245,0.49999999999999895,0.5000000000000091,0.5000000000000102,0.4999999999999907,0.5000000000000094,0.5000000000000097,0.5000000000000071,0.49999999999999273,0.5000000000000029,0.4999999999999916,0.5000000000000008,0.4999999999999971,0.49999999999999845,0.4999999999999971,0.49999999999999717,0.49999999999999767,0.500000000000001,0.499999999999994,0.500000000000002,0.5000000000000036,0.4999999999999942,0.4999999999999989,0.5000000000000033,0.5000000000000006,0.49999999999999706,0.500000000000004,0.4999999999999941,0.5000000000000057,0.49999999999999495,0.5000000000000023,0.5000000000000001,0.4999999999999993,0.5000000000000011,0.4999999999999983,0.4999999999999988,0.5000000000000028,0.5000000000000033,0.5000000000000018,0.5000000000000044,0.5000000000000036,0.4999999999999994,0.4999999999999978,0.500000000000003,0.4999999999999971,0.5000000000000038,0.5000000000000037,0.5000000000000009,0.4999999999999966,0.4999999999999999,0.499999999999999,0.49999999999999667,0.5000000000000027,0.5000000000000023,0.4999999999999999,0.5000000000000018,0.5000000000000021,0.5000000000000026,0.500000000000002,0.5000000000000028,0.5000000000000027,0.5000000000000009,0.5000000000000001,0.49999999999999806,0.5000000000000021,0.5000000000000021,0.5000000000000016,0.4999999999999979,0.49999999999999795,0.49999999999999856,0.4999999999999984,0.49999999999999806,0.4999999999999993,0.5000000000000003,0.49999999999999845,0.500000000000001,0.5000000000000013,0.5000000000000007,0.4999999999999991,0.4999999999999983,0.4999999999999986,0.49999999999999906,0.49999999999999856,0.5000000000000004,0.5000000000000009,0.4999999999999992,0.4999999999999993,0.49999999999999867,0.4999999999999994,0.5000000000000012,0.5000000000000013,0.5000000000000013,0.4999999999999994,0.5000000000000011,0.4999999999999991,0.4999999999999991,0.49999999999999895,0.5000000000000002,0.5000000000000009,0.5000000000000004,0.5000000000000008,0.5000000000000001,0.49999999999999994,0.5,0.4999999999999996,0.49999999999999944,0.4999999999999991,0.4999999999999991,0.49999999999999994,0.49999999999999956,0.49999999999999917,0.5000000000000008,0.4999999999999993,0.49999999999999983,0.5000000000000006,0.5000000000000007,0.4999999999999995,0.4999999999999993,0.5000000000000006,0.5000000000000006,0.5000000000000007,0.5000000000000003,0.4999999999999994,0.5000000000000006,0.4999999999999998,0.5000000000000003,0.5,0.5,0.5000000000000004,0.49999999999999944,0.5000000000000004,0.5000000000000006,0.4999999999999995,0.4999999999999996,0.5,0.5000000000000004,0.5,0.4999999999999996,0.49999999999999956,0.4999999999999998,0.5000000000000003,0.5000000000000004,0.5000000000000003,0.4999999999999996,0.4999999999999997,0.5000000000000002,0.49999999999999967,0.5,0.5,0.49999999999999967,0.49999999999999967,0.49999999999999967],"x":[60000.00000000003,61430.39830338353,62894.89726187253,64394.30983412023,65929.46835969151,67501.22502110281,69110.45231687785,70758.04354587999,72444.91330319269,74171.99798782021,75940.25632249274,77750.66988586276,79604.24365739057,81502.00657521821,83445.0121073441,85434.33883641344,87471.09105845171,89556.39939587026,91691.42142508691,93877.34231910801,96115.37550543141,98406.76333963202,100752.77779500674,103154.72116865928,105613.92680442009,108131.7598329986,110709.61792978205,113348.93209069864,116051.16742657975,118817.82397645732,121650.43754025163,124550.5805313089,127519.8628492658,130559.93277372057,133672.47787921072,136859.22597200226,140121.94604921443,143462.4492808076,146882.59001498306,150384.2668075498,153969.42347583466,157640.05017771415,161398.18451637265,165245.91267139593,169185.37055683296,173218.745006863,177348.27498973062,181576.25285061897,185905.02558415662,190336.99613725735,194874.62474302182,199520.43028643704,204276.99170263813,209146.94940850046,214133.00676836344,219237.93159469467,224464.557684534,229815.78639256206,235294.58824167363,240904.00457194378,246647.14922891042,252527.2102921011,258547.45184476758,264711.2157858156,271021.92368492583,277483.07868190395,284098.2674313077,290871.1620934399,297805.5223728006,304905.1976051394,312174.12889425945,319616.35129976895,327235.9960769825,335037.2929702253,343024.5725608054,351202.2686709692,359574.920825159,368147.1767699525,376923.79505407193,385909.6476699088,395109.7227580148,404529.1273760721,414173.09033387114,424046.9650958823,434156.2327530168,444506.50506523915,455103.5275767099,465953.1828052028,477061.4935075478,488434.62602292874,500078.8936958779,512000.7603808859,524206.8440305506,536703.9203692736,549498.9266545316,562598.9655278266,576011.3089574318,589743.40227514,603802.8683092395,618197.5116160333,632935.3228122245,648024.483010594,663473.3683614162,679290.5547021545,695484.8223179944,712065.1608158732,729040.7741146985,746421.0855545495,764215.7431276644,782434.6248341455,801087.8441653333,820185.7557179205,839738.960941891,859758.3140254978,880254.92792053,901240.180511238,922725.72093031,944723.4760254291,967245.6569799846,990304.7660916384,1.013913603712475e6,1.0380852753546046e6,1.0628331989651816e6,1.0881711123748391e6,1.1141130809237063e6,1.1406735052692168e6,1.167867129380077e6,1.195709048720787e6,1.224214718631298e6,1.25339996290642e6,1.2832809825797915e6,1.3138743649172322e6,1.345197092624513e6,1.3772665532746215e6,1.4101005489598024e6,1.4437173061736731e6,1.4781354859289464e6,1.5133741941163414e6,1.5494529921104813e6,1.5863919076286033e6,1.624211445848161e6,1.6629326007894487e6,1.702576866969621e6,1.74316625133451e6,1.7847232854749179e6,1.8272710381341237e6,1.8708331280136046e6,1.9154337368840096e6,1.96109762300872e6,2.007850134887405e6,2.0557172253272594e6,2.104725465849665e6,2.1549020614403263e6,2.2062748656510236e6,2.2588723960614386e6,2.31272385010954e6,2.367859121299399e6,2.424308815795362e6,2.4821042694118847e6,2.541277565008346e6,2.601861550298593e6,2.663889856085024e6,2.727396914927433e6,2.792417980256859e6,2.858989145945148e6,2.927147366341011e6,2.9969304767838055e6,3.068377214606303e6,3.1415272406382e6,3.216421161222232e6,3.2931005507552163e6,3.3716079747664086e6,3.4519870135460845e6,3.5342822863373877e6,3.618539476104977e6,3.70480535489409e6,3.7931278097942076e6,3.8835558695216477e6,3.9761397316359608e6,4.070930790405099e6,4.167981665334884e6,4.267346230378693e6,4.369079643843421e6,4.473238379008447e6,4.579880255474507e6,4.689064471260012e6,4.800851635662449e6,4.915303802903249e6,5.032484506574703e6,5.152458794908173e6,5.275293266883007e6,5.401056109196349e6,5.529817134114241e6,5.661647818225209e6,5.796621342117612e6,5.934812631002984e6,6.076298396307745e6,6.221157178256586e6,6.369469389470924e6,6.52131735960681e6,6.676785381056925e6,6.835959755742251e6,6.998928843019111e6,7.165783108728399e6,7.336615175414052e6,7.511519873738884e6,7.690594295126009e6,7.873937845655343e6,8.061652301244885e6,8.25384186414769e6,8.450613220795566e6,8.652075601021852e6,8.858340838695977e6,9.069523433803702e6,9.285740616007196e6,9.50711240972048e6,9.733761700736154e6,9.965814304440692e6,1.0203399035655808e7,1.0446647780144945e7,1.0695695567824349e7,1.0950680647719722e7,1.1211744564709602e7,1.1479032238098454e7,1.1752692042062797e7,1.2032875888015386e7,1.2319739308932742e7,1.2613441545693174e7,1.291414563547295e7,1.322201850225008e7,1.3537231049465476e7,1.3859958254893268e7,1.4190379267772691e7,1.4528677508255865e7,1.4875040769226119e7,1.522966132054384e7,1.559273601577736e7,1.5964466401478605e7,1.6345058829063602e7,1.6734724569360204e7,1.713367992988692e7,1.7542146374927357e7,1.796035064846741e7,1.8388524900063086e7,1.882690681370934e7,1.9275739739780825e7,1.9735272830118272e7,2.0205761176335134e7,2.068746595142183e7,2.118065455472546e7,2.1685600760386024e7,2.220258486931116e7,2.273189386477434e7,2.3273821571722124e7,2.382866881987953e7,2.439674361074358e7,2.497836128855841e7,2.5573844715365976e7,2.618352445023024e7,2.6807738932733733e7,2.7446834670849234e7,2.8101166433289737e7,2.8771097446444377e7,2.9456999596008968e7,3.015925363342396e7,3.087824938723333e7,3.161438597948258e7,3.2368072047275297e7,3.3139725969612252e7,3.392977609963771e7,3.473866100242284e7,3.5566829698417515e7,3.641474191270661e7,3.7282868330208e7,3.8171690856954746e7,3.9081702887605876e7,4.001340957933536e7,4.096732813224987e7,4.194398807649204e7,4.294393156618791e7,4.396771368040278e7,4.50159027312711e7,4.6089080579472646e7,4.7187842957229026e7,4.8312799799001485e7,4.946457558007146e7,5.064380966319354e7,5.185115665351202e7,5.3087286761939615e7,5.435288617719814e7,5.5648657446729265e7,5.697531986668545e7,5.833360988121943e7,5.972428149129162e7,6.1148106673224114e7,6.260587580723233e7,6.409839811617404e7,6.56265021147571e7,6.719103606945613e7,6.879286846939497e7,7.04328885084534e7,7.21120065788684e7,7.383115477660161e7,7.559128741875654e7,7.739338157332927e7,7.923843760158946e7,8.112747971339068e7,8.30615565357209e7,8.504174169480568e7,8.706913441208966e7,8.914486011442505e7,9.127007105880892e7,9.344594697201245e7,9.567369570545983e7,9.795455390571848e7,1.002897877009756e8,1.0268069340387838e8,1.0512859823113085e8,1.0763486104024577e8,1.1020087308386098e8,1.1282805878203657e8,1.1551787651296788e8,1.1827181942254478e8,1.210914162532129e8,1.2397823219259457e8,1.2693386974234079e8,1.2995996960769656e8,1.330582116082741e8,1.3623031561053607e8,1.3947804248251456e8,1.4280319507128522e8,1.4620761920374703e8,1.4969320471126005e8,1.5326188647871047e8,1.569156455185855e8,1.6065651007065466e8,1.644865567278643e8,1.6840791158907983e8,1.7242275143930277e8,1.7653330495802766e8,1.8074185395640507e8,1.850507346438989e8,1.8946233892514062e8,1.9397911572770125e8,1.986035723615135e8,2.0333827591071036e8,2.081858546586371e8,2.1314899954683974e8,2.1823046566883457e8,2.2343307379948944e8,2.2875971196086526e8,2.342133370253882e8,2.397969763572366e8,2.4551372949286798e8,2.5136676986160055e8,2.573593465472176e8,2.6349478609156802e8,2.697764943411643e8,2.762079583378046e8,2.827927482542615e8,2.895345193761291e8,2.964370141309053e8,3.0350406416545385e8,3.107395924729916e8,3.1814761557078236e8,3.257322457297482e8,3.3349769325723505e8,3.414482688341927e8,3.495883859080871e8,3.5792256314284545e8,3.6645542692721546e8,3.751917139429215e8,3.841362737940465e8,3.932940716990976e8,4.0267019124725217e8,4.1226983722030514e8,4.2209833848190707e8,4.3216115093566567e8,4.4246386055377626e8,4.530121864778535e8,4.638119841936863e8,4.748692487816794e8,4.861901182447865e8,4.977808769157726e8,5.096479589457238e8,5.217979518757042e8,5.3423760029357076e8,5.46973809577964e8,5.600136497315562e8,5.733643593056831e8,5.870333494185424e8,6.010282078691727e8,6.153567033495342e8,6.300267897569815e8,6.45046610609557e8,6.604245035665435e8,6.761690050567847e8,6.92288855017347e8,7.087930017451518e8,7.256906068642578e8,7.429910504115907e8,7.607039360438884e8,7.78839096368794e8,7.974065984030383e8,8.164167491607468e8,8.358801013749702e8,8.5580745935562e8,8.762098849870404e8,8.970987038685956e8,9.184855116016152e8,9.403821802262365e8,9.628008648116978e8,9.857540102037448e8,1.0092543579328974e9,1.0333149532873912e9,1.0579491525547758e9,1.0831706304361153e9,1.1089933876369593e9,1.1354317586392832e9,1.162500419658706e9,1.190214396791413e9,1.218589074355302e9,1.2476402034299603e9,1.2773839106002812e9,1.3078367069084816e9,1.3390154970195575e9,1.3709375886052406e9,1.4036207019516673e9,1.4370829797960942e9,1.4713429973981276e9,1.5064197728510187e9,1.542332777638843e9,1.579101947445299e9,1.616747693220221e9,1.655290912509911e9,1.6947530010575826e9,1.7351558646803637e9,1.7765219314294496e9,1.8188741640401204e9,1.8622360726786382e9,1.9066317279929562e9,1.9520857744745939e9,1.9986234441390526e9,2.0462705705323691e9,2.095053603071587e9,2.144999621727114e9,2.196136352055059e9,2.2484921805880322e9,2.3020961705927687e9,2.3569780782034607e9,2.4131683689396996e9,2.470698234618201e9,2.529599610667709e9,2.589905193856697e9,2.651648460443642e9,2.71486368476011e9,2.7795859582367487e9,2.8458512088829226e9,2.913696221230723e9,2.983158656754445e9,3.054277074776868e9,3.127090953873946e9,3.2016407137897325e9,3.277967737873872e9,3.3561143960538826e9,3.436124068355156e9,3.5180411689816628e9,3.601911170970741e9,3.687780631435651e9,3.7756972174099345e9,3.865709732307817e9,3.957868143015587e9,4.0522236076286716e9,4.1488285038500485e9,4.247736458065652e9,4.349002375112941e9,4.452682468759165e9,4.55883429290614e9,4.667516773539132e9,4.778790241437205e9,4.892716465663495e9,5.009358687853854e9,5.128781657322947e9,5.251051667007266e9,5.376236590265059e9,5.50440591855345e9,5.635630800003999e9,5.76998407891769e9,5.907540336201585e9,6.048375930769457e9,6.192569041929427e9,6.34019971278211e9,6.491349894653405e9,6.64610349258642e9,6.804546411918199e9,6.966766605966567e9,7.132854124853956e9,7.302901165495174e9,7.477002122776869e9,7.655253641957116e9,7.837754672314245e9,8.024606522074485e9,8.21591291464941e9,8.411780046213761e9,8.612316644656084e9,8.81763402993471e9,9.02784617587263e9,9.243069773425552e9,9.463424295458311e9,9.68903206306534e9,9.920018313472624e9,1.0156511269558031e10,1.0398642211029217e10,1.0646545547298355e10,1.09003588920942e10,1.1160223139852913e10,1.1426282543930073e10,1.169868479667704e10,1.1977581111426794e10,1.2263126306433846e10,1.2555478890815521e10,1.2854801152542019e10,1.3161259248524157e10,1.3475023296848812e10,1.3796267471213297e10,1.4125170097610771e10,1.44619137533212e10,1.4806685368261684e10,1.5159676328753265e10,1.552108258376146e10,1.5891104753669584e10,1.6269948241645292e10,1.6657823347661737e10,1.7054945385237694e10,1.7461534800960064e10,1.787781729685615e10,1.8304023955683205e10,1.8740391369204872e10,1.9187161769525764e10,1.9644583163557083e10,2.011290947068755e10,2.059240066373717e10,2.1083322913270554e10,2.1585948735351032e10,2.2100557142817184e10,2.2627433800165783e10,2.316687118212711e10,2.3719168736020847e10,2.4284633047982037e10,2.4863578013150772e10,2.5456325009918343e10,2.6063203078327778e10,2.6684549102727436e10,2.732070799877902e10,2.7972032904923843e10,2.8638885378413803e10,2.9321635596015095e10,3.0020662559497913e10,3.073635430602382e10,3.1469108123549328e10,3.221933077136461e10,3.2987438705889805e10,3.3773858311854336e10,3.457902613898766e10,3.540338914435202e10,3.6247404940453804e10,3.711154204926846e10,3.799628016232211e10,3.8902110406973274e10,3.982953561904281e10,4.077907062194334e10,4.1751242512463234e10,4.274659095336291e10,4.376566847294822e10,4.480904077178404e10,4.587728703672074e10,4.69710002624068e10,4.809078758046634e10,4.923727059652426e10,5.0411085735266174e10,5.161288459372359e10,5.284333430298343e10,5.410311789851867e10,5.539293469934864e10,5.671350069623833e10,5.80655489491523e10,5.9449829994183945e10,6.0867112260186165e10,6.231818249533322e10,6.380384620385435e10,6.53249280931766e10,6.6882272531728745e10,6.8476744017659035e10,7.010922765872713e10,7.178062966363693e10,7.349187784508136e10,7.524392213478255e10,7.703773511080777e10,7.887431253745789e10,8.075467391802654e10,8.267986306073709e10,8.465094865817139e10,8.666902488051262e10,8.873521198292908e10,9.085065692744168e10,9.301653401961316e10,9.523404556041763e10,9.750442251365044e10,9.9828925189249e10,1.0220884394290399e11,1.0464549989234973e11,1.0714024565072864e11,1.0969446607744353e11,1.1230957904690576e11,1.1498703623561258e11,1.1772832392798787e11,1.2053496384143414e11,1.2340851397105379e11,1.2635056945450887e11,1.2936276345749667e11,1.3244676808034007e11,1.3560429528618585e11,1.3883709785133377e11,1.4214697033822104e11,1.4553575009160263e11,1.4900531825848053e11,1.5255760083234863e11,1.5619456972232944e11,1.5991824384780502e11,1.6373069025913785e11,1.676340252851125e11,1.7163041570773203e11,1.757220799650211e11,1.7991128938250418e11,1.842003694340428e11,1.8859170103272726e11,1.9308772185255096e11,1.976909276815855e11,2.0240387380741968e11,2.07229176435626e11,2.12169514142044e11,2.1722762935968536e11,2.2240632990108817e11,2.2770849051695926e11,2.3313705449198386e11,2.3869503527866986e11,2.4438551817014777e11,2.5021166201284903e11,2.5617670096001477e11,2.6228394626700897e11,2.685367881294266e11,2.74938697565033e11,2.8149322834055786e11,2.882040189444292e11,2.9507479460653613e11,3.021093693661432e11,3.09311648189103e11,3.166856291355451e11,3.242354055792354e11,3.319651684798587e11,3.3987920870945886e11,3.479819194343478e11,3.5627779855379816e11,3.6477145119687415e11,3.734675922787866e11,3.823710491181931e11,3.9148676411688696e11,4.0081979750338513e11,4.103753301419078e11,4.201586664083316e11,4.301752371347041e11,4.404306026239553e11,4.5093045573648e11,4.6168062505030536e11,4.726870780965885e11,4.8395592467226624e11,4.9549342023165955e11,5.073059693589438e11,5.1940012932339966e11,5.3178261371942236e11,5.4446029619330743e11,5.574402142588861e11,5.707295732041135e11,5.843357500908127e11,5.982662978497498e11,6.125289494733466e11,6.271316223083457e11,6.420824224508124e11,6.573896492459125e11,6.73061799894969e11,6.891075741723358e11,7.055358792547496e11,7.223558346657859e11,7.395767773382045e11,7.572082667969778e11,7.752600904658838e11,7.937422691006061e11,8.126650623513639e11,8.320389744581378e11,8.518747600817023e11,8.721834302736371e11,8.929762585886807e11,9.142647873427972e11,9.360608340204374e11,9.58376497834547e11,9.812241664429702e11,1.0046165228249521e12,1.0285665523216161e12,1.053087549844247e12,1.0781931272544386e12,1.1038972209201802e12,1.1302140994520798e12,1.1571583716240242e12,1.1847449944826409e12,1.212989281650142e12,1.2419069118250542e12,1.271513937485634e12,1.301826793800766e12,1.3328623077532961e12,1.364637707480865e12,1.3971706318394336e12,1.4304791401947732e12,1.4645817224474412e12,1.4994973092966963e12,1.5352452827491316e12,1.5718454868778296e12,1.6093182388380137e12,1.647684340145314e12,1.6869650882229111e12,1.727182288223932e12,1.7683582651357576e12,1.8105158761728306e12,1.853678523464939e12,1.8978701670479834e12,1.9431153381644434e12,1.9894391528809246e12,2.0368673260303591e12,2.0854261854865442e12,2.1351426867790688e12,2.1860444280565767e12,2.2381596654067944e12,2.291517328541782e12,2.346147036857116e12,2.402079115873927e12,2.4593446140729204e12,2.5179753201296743e12,2.578003780560925e12,2.6394633177914346e12,2.702388048651632e12,2.7668129033162173e12,2.832773644694269e12,2.900306888281605e12,2.969450122486442e12,3.040241729439551e12,3.1127210063006514e12,3.1869281870726284e12,3.2629044649358574e12,3.3406920151149688e12,3.4203340182907563e12,3.5018746845702227e12,3.585359278028085e12,3.6708341418332793e12,3.7583467239746216e12,3.8479456035996255e12,3.939680517981307e12,4.0336023901278647e12,4.1297633570505737e12,4.228216798705599e12,4.3290173676257007e12,4.432221019258525e12,4.537885043027993e12,4.64606809413627e12,4.756830226123882e12,4.870232924206064e12,4.986339139403845e12,5.105213323488832e12,5.226921464760986e12,5.351531124679534e12,5.479111475366961e12,5.609733338007193e12,5.743469222159183e12,5.880393366007713e12,6.020581777573797e12,6.164112276907541e12,6.311064539286773e12,6.461520139445766e12,6.615562596858125e12,6.773277422099345e12,6.934752164314622e12,7.1000764598183e12,7.26934208185192e12,7.442642991528538e12,7.620075389991396e12,7.801737771816364e12,7.987730979687182e12,8.178158260374321e12,8.373125322048341e12,8.572740392959597e12,8.777114281516873e12,8.986360437798324e12,9.200595016528645e12,9.419936941558e12,9.644507971877734e12,9.87443276921011e12,1.0109838967209318e13,1.0350857242312262e13,1.05976213862784e13,1.0850268380458998e13,1.1108938471836734e13,1.1373775250878518e13,1.164492573124388e13,1.192254043139385e13,1.2206773458145299e13,1.249778259221726e13,1.279572937581665e13,1.310077920231208e13,1.341310140804523e13,1.3732869366331541e13,1.4060260583701338e13,1.439545679843561e13,1.4738644081450822e13,1.509001293958883e13,1.5449758421369213e13,1.58180802252628e13,1.6195182810546133e13,1.6581275510799312e13,1.6976572650109008e13,1.738129366204205e13,1.7795663211455305e13,1.821991131920947e13,1.865427348985613e13,1.9098990842368496e13,1.955431024398951e13,2.002048444727013e13,2.0497772230374977e13,2.098643854073281e13,2.148675464211158e13,2.199899826519981e13,2.2523453761777875e13,2.306041226256427e13,2.3610171838825867e13,2.4173037667840023e13,2.4749322202301754e13,2.533934534376949e13,2.594343462024576e13,2.656192536799143e13,2.719516091767444e13,2.784349278495582e13,2.8507280865620348e13,2.9186893635358016e13,2.9882708354308863e13,3.0595111276483984e13,3.1324497864179184e13,3.2071273007500215e13,3.2835851249121637e13,3.3618657014403246e13,3.4420124846993816e13,3.524069965005028e13,3.608083693320827e13,3.6941003065440234e13,3.782167553394174e13,3.87233432091896e13,3.9646506616319125e13,4.059167821297021e13,4.155938267375891e13,4.255015718152908e13,4.3564551725548414e13,4.46031294068132e13,4.566646675063154e13,4.675515402665858e13,4.786979557656155e13,4.901101014949536e13,5.017943124557785e13,5.137570746755157e13,5.260050288083012e13,5.385449738212775e13,5.5138387076877195e13,5.645288466564499e13,5.779871983975927e13,5.917663968636811e13,6.0587409103156734e13,6.203181122294935e13,6.3510647848434555e13,6.502473989725435e13,6.657492785770412e13,6.81620722552967e13,6.978705413044804e13,7.145077552755345e13,7.315415999572092e13,7.489815310144298e13,7.668372295349067e13,7.851186074032073e13,8.038358128029467e13,8.229992358501539e13,8.426195143609202e13,8.627075397565816e13,8.832744631096477e13,9.043317013338812e13,9.258909435219461e13,9.479641574341452e13,9.70563596141848e13,9.937018048293034e13,1.017391627757586e14,1.0416462153946031e14,1.0664790317150411e14,1.0919038616743623e14,1.1179348188609773e14,1.1445863533308453e14,1.1718732596288511e14,1.199810685001416e14,1.2284141378048728e14,1.2576994961143461e14,1.2876830165378167e14,1.3183813432403408e14,1.3498115171833981e14,1.3819909855845088e14,1.414937611602365e14,1.4486696842528628e14,1.4832059285615028e14,1.5185655159578816e14,1.5547680749179288e14,1.591833701859886e14,1.629782972300037e14,1.668636952274392e14,1.7084172100326634e14,1.7491458280110353e14,1.790845415090324e14,1.833539119146446e14,1.8772506399000184e14,1.9220042420723278e14,1.9678247688549303e14,2.0147376557003656e14,2.062768944441643e14,2.111945297748343e14,2.1622940139273097e14,2.213843042076275e14,2.2666209975986628e14,2.320657178088305e14,2.3759815795928425e14,2.4326249132648434e14,2.4906186224098844e14,2.5499948999410688e14,2.610786706249607e14,2.673027787501534e14,2.7367526943705197e14,2.8019968012173162e14,2.868796325726437e14,2.937188349010969e14,3.007210836196699e14,3.0789026574969025e14,3.152303609789678e14,3.227454438709559e14,3.304396861265853e14,3.383173589000194e14,3.463828351696156e14,3.54640592165412e14,3.6309521385448556e14,3.717513934855543e14,3.8061393619425744e14,3.8968776167053044e14,3.989779068895778e14,4.084895289079503e14,4.1822790772628125e14,4.281984492202696e14,4.3840668814154006e14,4.48858291190034e14,4.595590601596647e14,4.705149351589464e14,4.8173199790841225e14,4.932164751166412e14,5.049747419367684e14,5.170133255053996e14,5.293389085658949e14,5.419583331780203e14,5.548786045160601e14,5.68106894757453e14,5.816505470641452e14,5.955170796588558e14,6.097141899985212e14,6.242497590472334e14,6.39131855651048e14,6.543687410170748e14,6.69968873299375e14,6.859409122941614e14,7.02293724246943e14,7.190363867742714e14,7.3617819390282e14,7.537286612285954e14,7.716975311991469e14,7.900947785216884e14,8.089306157001815e14,8.2821549870439e14,8.479601327741012e14,8.681754783617166e14,8.888727572165125e14,9.10063458613951e14,9.317593457335001e14,9.53972462188482e14,9.767151387116318e14,1.0e15]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/large.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/large.json new file mode 100644 index 000000000000..f8d18d2105e1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/large.json @@ -0,0 +1 @@ +{"C":[0.4999999999999984,0.4999952966053132,0.4999952466855638,0.5000001949271385,0.4999925517597223,0.5000004741296699,0.49999482021167474,0.4999946622097227,0.5000011132736554,0.4999930089349015,0.500001680836087,0.499993878229898,0.49999365756017056,0.5000027235909712,0.49999405543447567,0.5000035236076065,0.4999927884813405,0.4999925992867841,0.5000048156627231,0.49999603228102973,0.5000056810019282,0.4999921379341366,0.49999213166540996,0.5000068488428699,0.49999914401732937,0.5000074398232704,0.49999276111294555,0.49999311486970355,0.5000078461071721,0.5000030811570706,0.5000076784070844,0.49999543783376266,0.4999962450083829,0.5000066005552865,0.5000066295152041,0.5000052814415452,0.5000001833491805,0.5000012737469101,0.5000024600977168,0.5000077273487017,0.5000001638633561,0.5000053873461164,0.5000062097612139,0.4999965658993882,0.5000046085397284,0.49999445120325753,0.5000077761207192,0.5000076142696728,0.49999245705919826,0.49999802673559157,0.49999230415327345,0.5000044912408126,0.5000031648224276,0.49999418654472955,0.49999266800627395,0.4999967348580136,0.49999694906323505,0.4999954986671538,0.5000016286042668,0.4999943428066948,0.5000047530068719,0.4999922872463392,0.49999241453810794,0.5000075543579372,0.5000026604653675,0.5000073980461824,0.4999969393714426,0.4999988110427901,0.5000038641283959,0.5000076827863306,0.5000000004584075,0.5000060048097088,0.5000070702427718,0.49999440143103197,0.5000012183666769,0.4999924679816577,0.5000057331050913,0.5000040279987789,0.4999940642491632,0.4999926299784822,0.4999978466506175,0.49999537518063253,0.49999373981205436,0.5000045948000577,0.49999778936433514,0.5000073222336322,0.4999940069489179,0.4999958561075082,0.5000058256980289,0.5000074360407052,0.5000014606764319,0.500005349740492,0.5000068717182681,0.4999942836355611,0.5000003829868457,0.49999240355784047,0.5000041914099947,0.5000016412564603,0.49999652587335447,0.49999258893360954,0.5000020706147744,0.49999272824928237,0.49999246799673286,0.5000074966803867,0.5000040839948331,0.5000060041330379,0.5000008406843,0.5000037269801562,0.49999779757486645,0.5000039346463351,0.49999319790940017,0.5000062171593568,0.5000039142262078,0.4999948808020084,0.49999247180847317,0.5000008887809017,0.4999930310611993,0.4999924945635179,0.5000074548697806,0.50000447610529,0.5000053475334524,0.5000021662457477,0.5000051343079606,0.4999958251826498,0.5000014683271472,0.4999925164640889,0.5000036223658011,0.500000187533238,0.49999873795988814,0.4999939695623893,0.5000054085120562,0.4999930160952782,0.4999951354352145,0.5000055330165712,0.5000074567721542,0.499998656041652,0.5000072241700714,0.5000071760586625,0.49999265611000726,0.4999937257638263,0.4999974328820044,0.4999946225771387,0.49999275816247757,0.5000070648920156,0.5000038490180423,0.5000052798034059,0.5000028075693563,0.5000060025839103,0.49999431417620005,0.4999986648938294,0.4999932841594424,0.4999995404367897,0.4999956039917115,0.500004090637397,0.499999349076812,0.5000072610414373,0.49999875418113693,0.5000030333940257,0.4999971795295892,0.5000019187384142,0.499992634971871,0.5000022252215919,0.4999977880995241,0.5000021238799387,0.4999975192176322,0.5000073462696583,0.4999974809247679,0.5000020372075826,0.4999979179330053,0.5000023807087833,0.49999266626442884,0.5000021563263126,0.4999974783775642,0.5000026941158401,0.49999838497376714,0.5000072601281061,0.4999988866226246,0.5000036066322503,0.49999611741283373,0.5000001466469746,0.4999931322432574,0.4999993638494886,0.4999948969002138,0.5000054191572524,0.5000019903706402,0.500005747090299,0.500002980407625,0.5000065759496366,0.4999931940647795,0.4999954980130678,0.4999965206256577,0.4999945399749593,0.49999274001970373,0.5000072159163085,0.5000066303909928,0.499999963231487,0.5000071068355089,0.5000061851097296,0.4999943121563582,0.49999285822300027,0.5000041071752181,0.49999340018210536,0.4999972730797175,0.5000017751337668,0.5000048376843514,0.4999930517261686,0.5000030601471246,0.49999756838539855,0.5000034646802682,0.5000002479081507,0.5000062717552847,0.5000025912944106,0.5000066219983471,0.49999299048068474,0.4999943811398817,0.4999987469378789,0.4999931431247295,0.4999937636380152,0.5000054258403067,0.500006884432588,0.49999485302836527,0.5000055108425348,0.5000002777073336,0.5000012487738107,0.4999983333011355,0.5000068312784102,0.5000015045259664,0.500006266911854,0.4999931127309738,0.49999435887567434,0.49999925161475783,0.4999929757694652,0.49999455374480223,0.5000041258083849,0.5000059557268577,0.4999934884370673,0.5000032071338213,0.49999704848885695,0.5000045730880174,0.5000024022480121,0.5000042059405009,0.5000055851879672,0.5000068799717742,0.4999939078776472,0.499993054226295,0.500005156273091,0.4999950703237236,0.5000011532832506,0.4999967809536722,0.4999989004986593,0.4999950029292407,0.4999949686999541,0.4999930390069823,0.5000061973988169,0.5000069149450573,0.4999946875548468,0.5000045117108547,0.4999980731014085,0.5000041124533494,0.500002380830242,0.500003728891029,0.5000061265304162,0.5000062563993091,0.4999953069088193,0.49999412315548214,0.500006705236267,0.49999832387668,0.5000048742503757,0.49999359111577674,0.49999445857091623,0.5000003216387487,0.49999304917816084,0.499997167468529,0.500000094212403,0.500001630341107,0.4999938262850955,0.4999961129875761,0.49999302592096745,0.5000061745182391,0.5000067031362633,0.499994025841024,0.5000028734950859,0.49999583183500423,0.5000061517928391,0.5000054462116141,0.49999938186737736,0.500006783236425,0.500001789506241,0.5000013776520178,0.500000238717024,0.5000047634142791,0.5000057383703265,0.5000060786558819,0.4999961497711234,0.4999953518415013,0.5000069189603046,0.5000016564529015,0.500006779053193,0.49999336338880457,0.49999316903495206,0.500005750786199,0.499997337613495,0.500004689205673,0.4999934178071747,0.4999936867312847,0.5000028164491065,0.49999443815679817,0.5000015203537711,0.4999952638523672,0.4999957328043845,0.4999996803379785,0.49999323252185973,0.4999985877663531,0.4999976588430016,0.49999812235142266,0.49999720537294656,0.4999932252885077,0.49999646209115595,0.49999978317218247,0.500000138690402,0.4999955992808848,0.49999375838932536,0.49999517397643956,0.5000012915191115,0.5000015116424462,0.4999947244506369,0.49999432003789784,0.4999945301998516,0.5000021278792934,0.5000022179950775,0.4999943693451813,0.4999946133700928,0.49999433877336824,0.5000023328964135,0.5000023009720099,0.4999944016922488,0.4999945255715882,0.4999945194917885,0.500001928034981,0.5000017720649034,0.49999482702695225,0.4999940973578839,0.4999951348701771,0.5000008869628596,0.5000005993262192,0.49999578404157036,0.49999353217981635,0.49999636205248155,0.4999991910833609,0.4999987799237259,0.49999747567148217,0.4999932313459558,0.49999839017685477,0.49999696963085755,0.4999964957930683,0.5000000048907101,0.49999378616285406,0.5000012103054267,0.49999469702261246,0.49999431215105233,0.5000031007078124,0.49999580369445507,0.5000043148467953,0.4999933252924444,0.4999932693535336,0.5000058341953135,0.4999994510794377,0.5000064855929734,0.49999408665036466,0.4999945801157219,0.5000066445009946,0.5000038063267459,0.5000060778602519,0.49999767980437326,0.4999986848772359,0.5000041407590315,0.5000065785273029,0.500002205310537,0.5000029920605767,0.5000039851806705,0.49999874779088044,0.5000051765158273,0.49999647032468186,0.5000065498075881,0.5000066748661024,0.49999394486473575,0.4999994547018701,0.4999933360142055,0.5000045966425827,0.5000034746024049,0.4999945423979843,0.4999939414646681,0.4999967111869776,0.49999779020560053,0.4999964126684383,0.5000011689014487,0.49999505043178233,0.5000040616723718,0.49999336883024337,0.49999351607973475,0.5000065436933137,0.5000026421201165,0.500006206177656,0.4999979183345255,0.4999996645029753,0.5000026142284534,0.5000065014356977,0.4999990066276955,0.5000057754758298,0.5000064470163743,0.4999943922198578,0.49999964695442445,0.49999340758517935,0.5000037279874807,0.5000019101466251,0.49999621604027433,0.4999934145269248,0.500000136899432,0.49999456763221534,0.49999366729189315,0.500005525532043,0.5000004890831735,0.5000065389741151,0.49999682641149146,0.4999989555555913,0.5000027935428406,0.5000063916688414,0.49999826220851545,0.5000062322510921,0.5000065432981994,0.49999359847817415,0.4999970184136435,0.4999943663751909,0.5000001987514632,0.4999977464422563,0.5000007154298654,0.4999955136466922,0.5000050871168812,0.4999938646490936,0.499995223338104,0.5000056400441386,0.5000061840351839,0.5000014446176971,0.5000047670498254,0.5000061602614531,0.49999439836596177,0.4999986589660689,0.4999938372300706,0.5000011794281893,0.49999835167027745,0.500000460001283,0.4999956258774278,0.5000053445288233,0.49999424370234097,0.4999961600306458,0.5000046519546733,0.5000064776201998,0.49999913474351065,0.5000061127016755,0.5000064067966924,0.4999935316438082,0.4999953993217632,0.4999963225523997,0.4999968187834533,0.49999452975175873,0.500004981296319,0.5000008231325457,0.5000061213904592,0.49999928470223576,0.5000025291589444,0.49999813827722056,0.5000027515429367,0.4999937322527426,0.5000038571441761,0.5000007028776703,0.4999987181143684,0.49999490058780777,0.5000049707743772,0.49999433627439305,0.4999967667087569,0.5000036242282498,0.5000061750583022,0.49999679773674677,0.5000063386514925,0.5000048207587181,0.49999496266235055,0.4999935997132374,0.5000016176841029,0.49999363675620045,0.4999943568757276,0.5000057413838473,0.5000062548056897,0.4999994732624805,0.5000061766455002,0.5000059847217512,0.49999398364759484,0.4999939134677962,0.5000000250758382,0.49999394267386404,0.4999939420120973,0.50000604936859,0.5000060683599397,0.49999987498375664,0.5000061096517763,0.50000593263953,0.4999941212914761,0.49999379513240994,0.5000008212668073,0.4999937276466877,0.49999447859810014,0.5000053870721827,0.5000063344669511,0.499997922037048,0.5000063154344877,0.5000046026150179,0.49999566686166813,0.4999938746971162,0.5000037401870407,0.4999941551556433,0.4999970964355962,0.5000024528786873,0.5000051152253175,0.4999946030847553,0.5000043845234103,0.5000002939026148,0.5000003205150918,0.49999711266091307,0.500006286666718,0.4999983682695049,0.5000028982291497,0.49999647423116395,0.49999945405834106,0.4999945620984533,0.49999791330042387,0.4999944082127129,0.5000059236746542,0.500004251217348,0.5000022645918218,0.5000053871781025,0.5000060848916574,0.4999942198499443,0.4999937552496465,0.5000024451569156,0.4999939413747303,0.4999968887614385,0.5000021298248694,0.5000044795731362,0.499994039841878,0.5000026272715675,0.49999767171493087,0.5000033888535245,0.5000008793861054,0.5000049445496714,0.5000032264014035,0.5000061165016456,0.4999937733688585,0.49999425253778296,0.5000008566021995,0.49999378609428047,0.4999961358061229,0.500002652805016,0.5000046093626117,0.49999403888248595,0.5000021736162142,0.49999694137247425,0.5000042911638796,0.5000023452874187,0.5000035647875443,0.5000048681547283,0.5000060378502329,0.49999454379905806,0.4999938674141281,0.5000040990393129,0.4999952257269604,0.500000178069601,0.4999980850817926,0.5000001433127426,0.4999948513876632,0.499996678630342,0.49999384659000945,0.5000060018475554,0.5000061416073639,0.49999683328289535,0.5000052774032898,0.5000004936730641,0.5000014856370534,0.4999996508798077,0.5000051144436708,0.5000035228642467,0.5000061458114083,0.49999422818086714,0.4999938729920622,0.5000041057166242,0.4999956059579072,0.5000011474807872,0.49999679534177516,0.49999826398312447,0.4999965396078294,0.4999947507257818,0.49999452488707957,0.5000040638719735,0.5000050466886887,0.49999410269390754,0.5000011542258943,0.49999547399199024,0.5000057642227089,0.5000051660008002,0.4999990335768754,0.5000059027917587,0.5000016395291335,0.5000008882064876,0.49999963492095395,0.5000047362130355,0.5000043500717972,0.5000058386296157,0.4999954414351235,0.49999477273244164,0.5000058514862912,0.4999991477218165,0.5000049062829637,0.49999401923025005,0.4999942829195522,0.5000025560995938,0.4999949528449937,0.5000007068781028,0.4999966182511471,0.4999974064042979,0.4999980272193448,0.49999402225177497,0.4999965231621124,0.5000007125853564,0.5000014886904155,0.4999949001777321,0.49999584577219625,0.49999427429678905,0.5000040430591802,0.5000045164432536,0.49999396636241517,0.4999988074083851,0.499994110151864,0.50000572860776,0.5000058754700096,0.4999946983395032,0.5000015796842607,0.49999525040975934,0.5000059788885838,0.5000059111058834,0.4999961854589692,0.5000035675519581,0.49999681817425173,0.5000054244036707,0.5000052722298132,0.4999977034222112,0.500004740436417,0.4999982204963956,0.5000046555908922,0.5000045139292351,0.49999885426193824,0.5000053155030394,0.4999991719730108,0.5000040596725338,0.5000039810861956,0.4999994830390058,0.500005524327659,0.49999957834450026,0.5000038310852861,0.5000038363578114,0.49999955263454915,0.5000054971528006,0.49999942343944265,0.5000040260169085,0.5000041130124089,0.49999906369097247,0.5000052241316045,0.4999987162699849,0.5000045890893302,0.5000047321619141,0.49999804533687114,0.500004559540253,0.4999975111035618,0.5000053310921269,0.5000054717734628,0.4999966175447436,0.5000032714383278,0.49999599507063686,0.5000058779016036,0.5000059162585504,0.49999510654080814,0.5000011730517526,0.49999461005683926,0.500005659462633,0.5000054668752177,0.49999414543569404,0.49999836880833926,0.4999941093760766,0.5000040623650965,0.5000035439565692,0.4999946055686571,0.49999555657320877,0.4999953615162051,0.5000008660497203,0.5000000819063677,0.4999971517191938,0.49999412067477084,0.4999987227274616,0.4999968844100333,0.49999616421914805,0.5000013891307812,0.49999555471529955,0.5000031318314098,0.49999426075284714,0.49999413580665863,0.5000051644988807,0.499999992175466,0.5000058110331792,0.49999545013775787,0.49999623197848536,0.5000053038479222,0.500004760870251,0.5000039184692313,0.5000005837188333,0.500001778512484,0.5000006208634932,0.5000053249426998,0.49999810369383973,0.5000054057373061,0.5000057625875961,0.4999950449807495,0.5000000384655373,0.49999418890809155,0.5000041025638249,0.5000029656114565,0.4999953956735582,0.4999945176283663,0.4999977379877476,0.4999972566332408,0.49999600720014986,0.5000022528193049,0.499996788945909,0.5000047192934981,0.49999442982560066,0.49999511652061907,0.5000056483521172,0.5000043097507794,0.5000039590144112,0.5000010175970921,0.5000026753462721,0.49999908376366203,0.5000040998345099,0.4999959103383498,0.5000057112918999,0.5000051219418916,0.49999431264419764,0.49999575497736143,0.4999961627907108,0.4999986306907196,0.4999968332810207,0.5000016903539908,0.49999669214746045,0.5000048482364319,0.4999947183945865,0.49999587275496493,0.5000050331998802,0.5000053457336624,0.5000018311922823,0.5000036173529615,0.5000050145588738,0.4999958226526734,0.5000003273177378,0.4999942549105712,0.5000029001651515,0.5000007524833799,0.49999798799737233,0.49999463282166823,0.500002527930521,0.4999942816148028,0.4999946033450645,0.5000056768682547,0.5000043930584259,0.5000031508546616,0.5000026296150002,0.5000045273930438,0.4999962116139962,0.5000005109964736,0.49999429018386804,0.5000024774893673,0.4999999661874848,0.49999906700440866,0.49999532887827614,0.5000039452321731,0.499994536435838,0.4999958837839944,0.5000046616926722,0.5000056213037134,0.49999995677874637,0.5000051346822354,0.500005684659186,0.4999943327274644,0.49999621909691383,0.4999965413753207,0.49999736815128815,0.49999524280942903,0.5000043735852874,0.5000007986767756,0.5000053314744832,0.49999962095052924,0.5000025329909321,0.49999795818235404,0.5000019462950996,0.4999943788832635,0.5000028179857656,0.4999998420339924,0.49999972965812395,0.4999961525910476,0.5000049564473209,0.49999564150319153,0.49999826084066096,0.5000020409983822,0.5000049006969824,0.49999601228877044,0.50000514044938,0.500002992685171,0.49999682916181887,0.4999946342600661,0.5000031569081423,0.4999945485122416,0.4999963242430915,0.5000037551472093,0.5000055176700305,0.49999730688211363,0.5000055339442613,0.5000039085702097,0.4999960919593255,0.4999944712938279,0.5000026831627383,0.49999449434962423,0.49999624885049854,0.5000036713374175,0.500005430339413,0.499996874482043,0.5000053397106471,0.5000031681474973,0.499997008456512,0.499994890035473,0.5000039317023606,0.4999951301078473,0.49999794796712255,0.5000017549387085,0.5000043326124134,0.4999951244585183,0.5000038292457366,0.5000003124873313,0.5000001074684183,0.4999971807644982,0.5000055256575996,0.4999980339819613,0.5000019529475702,0.49999756599337164,0.5000004340821709,0.49999474941264876,0.4999992835230978,0.49999576113887084,0.5000046162578564,0.5000025082280906,0.5000034401933586,0.5000036334406472,0.500005523164529,0.4999944530377842,0.49999503357368086,0.49999995436865174,0.4999945449399075,0.49999541418975896,0.5000040649363425,0.5000053325880024,0.49999624383306024,0.5000045872466424,0.5000010063900421,0.49999992660618225,0.49999750538364734,0.5000055249544144,0.49999939376911595,0.50000357093726,0.49999570426737366,0.49999757147269985,0.499996862683707,0.49999585091363047,0.4999945219802447,0.5000052310538952,0.5000054833319992,0.4999976933695896,0.500005196203905,0.5000020578672318,0.4999991400839141,0.4999971010225668,0.5000054976367768,0.4999995402102677,0.5000038869555292,0.49999528851989933,0.4999966698905851,0.4999981067173433,0.499994968044903,0.4999951319849421,0.500004038609682,0.5000050852140765,0.499995486879891,0.5000032779395311,0.4999985616502041,0.5000028548732554,0.500001125050152,0.500003764314719,0.5000038907972901,0.5000054064380431,0.49999507806577215,0.4999945816496139,0.5000037211700644,0.49999600188162335,0.5000006705604899,0.49999765768497784,0.4999992392252758,0.49999613407812254,0.499996090603399,0.499994654684391,0.5000046897798731,0.500005276687361,0.49999570663321513,0.5000031820516652,0.49999809423715896,0.5000035698864211,0.5000023652948946,0.5000023153087096,0.5000050331977152,0.5000044271981572,0.4999970423615861,0.49999602015988565,0.5000053806664967,0.49999972769448536,0.5000044714940686,0.4999946953053919,0.49999508342488774,0.5000015235823528,0.49999497157317674,0.49999917764096563,0.49999859700685995,0.49999971404151256,0.4999961948786485,0.499995761831986,0.49999500387366913,0.5000036696712041,0.5000043520525311,0.49999469431851484,0.50000027666508,0.4999953889824536,0.5000053668906359,0.5000052015171882,0.49999736726612215,0.5000042512732342,0.4999990042451911,0.5000032892652033,0.5000026015474779,0.5000014475888792,0.5000053462009805,0.5000028518692735,0.4999996299265283,0.49999891762660903,0.5000044019672173,0.5000038380382615,0.5000050201213538,0.49999654026709844,0.4999960938104737,0.500005358226059,0.5000011758006412,0.500005251951161,0.49999493824493735,0.4999947959212536,0.5000047316572062,0.4999986250233763,0.5000042263389601,0.499994689066435,0.49999475288927187,0.5000033562462023,0.4999967818381079,0.5000027605841335,0.49999522190598633,0.4999953704763852,0.5000019185086103,0.49999569715874065,0.5000014208298069,0.49999598137498885,0.4999961243697833,0.5000008007681777,0.4999951701213481,0.5000004813238954,0.49999659719112444,0.4999966838728764,0.5000001504660526,0.4999949731168791,0.500000030090923,0.49999687960876504,0.49999688876514387,0.49999999999999956],"S":[0.4999920422528454,0.5000064140842391,0.5000063722173137,0.49999205657484147,0.4999972437961922,0.49999207628994935,0.5000060097341283,0.5000058644975801,0.4999921525623253,0.49999627386552487,0.4999922623410569,0.5000050157857328,0.5000047270842651,0.4999925776212218,0.49999479330490226,0.4999929310754909,0.5000032120968917,0.5000027369997156,0.49999375425234094,0.49999318857452374,0.4999945407913448,0.5000004507605514,0.4999997921793059,0.4999961288328569,0.49999218343596324,0.4999974663670191,0.49999694913817794,0.499996225971371,0.4999998385336348,0.49999278659663365,0.5000015837043252,0.4999936288053427,0.4999931264974734,0.5000042091893689,0.4999958438204152,0.5000057680551405,0.49999218524849504,0.49999229146651164,0.5000074116050303,0.5000011009951776,0.5000077998386954,0.499994362522625,0.4999952900194049,0.5000069923168061,0.5000062759445583,0.5000054568890103,0.500000198698312,0.500001572027419,0.5000018690484314,0.5000075124255224,0.4999989775759771,0.50000632782332,0.5000070808023093,0.4999948717491892,0.500002505699203,0.4999929773910983,0.5000071141820119,0.500006292813483,0.49999244017657635,0.4999947329976288,0.49999390934909205,0.5000003775858385,0.4999985745072205,0.49999843630442625,0.49999276275731425,0.5000021603342849,0.4999929308315916,0.4999923927987343,0.5000066553938042,0.5000003784930719,0.5000076883843262,0.49999520454506835,0.49999699854178076,0.5000052532036958,0.5000075762014174,0.5000014474629455,0.5000050893262269,0.500006518307249,0.499995160225677,0.5000020695091015,0.4999926578760134,0.5000060908487477,0.5000043864809558,0.49999389567060226,0.49999269027685356,0.49999784410681314,0.49999527872703914,0.49999359848346714,0.5000049149527873,0.4999983431485636,0.5000074733327231,0.4999945862163253,0.49999673613050527,0.5000050140993364,0.5000075905252448,0.5000000404473363,0.500006331235884,0.5000074097042976,0.49999325663746214,0.49999839883744385,0.4999927099114012,0.5000021212656268,0.499999230311544,0.49999896620994266,0.4999936332545271,0.500004594610852,0.49999249007386337,0.49999343028804,0.5000072212639308,0.5000064390835882,0.5000032589553051,0.5000042640613885,0.5000064389644852,0.4999944753769952,0.5000000165261332,0.49999252802710964,0.50000282854168,0.49999957373613796,0.49999905936635936,0.499993969160124,0.500005268508589,0.4999928161639696,0.49999453320004733,0.5000062261460265,0.5000073474525437,0.5000002913036385,0.500006550865001,0.5000074798041942,0.4999926286200829,0.49999558284806456,0.49999484510889414,0.499997354711782,0.4999943381868506,0.5000050053535116,0.49999988965415315,0.5000073319347753,0.499998177146174,0.5000019908847791,0.499998785585019,0.5000039987049295,0.49999302047169875,0.5000051318160049,0.5000016602336944,0.4999977116962104,0.49999365314152294,0.5000052124676935,0.4999931361555429,0.4999956511464078,0.5000047501321323,0.5000072841414719,0.4999968874993388,0.50000738430748,0.5000059467132175,0.49999384336656155,0.4999926404495985,0.5000013465751277,0.49999272447269943,0.49999327442730346,0.5000068139026757,0.500007117046558,0.4999998001867481,0.5000070200911212,0.5000070207252033,0.49999295570547203,0.4999930769511717,0.49999974463239905,0.49999309802752534,0.4999929443007392,0.5000070390564417,0.5000069401602955,0.5000000164703118,0.500007006041939,0.5000068794094048,0.4999931899230283,0.49999286013150546,0.500000909540114,0.4999927717309355,0.49999364150064285,0.5000061898887188,0.5000073019629528,0.49999752510283063,0.5000072689482719,0.5000052107421817,0.49999512378954475,0.49999299040531153,0.5000044741828574,0.4999933580151695,0.4999968843655384,0.5000025653661846,0.5000057083801677,0.49999362041196044,0.5000047901023993,0.4999999616376293,0.5000007689177294,0.49999705881642525,0.5000072500567037,0.4999985823761605,0.5000037700590928,0.49999552009066967,0.4999988301861769,0.49999404542947656,0.4999970469299991,0.49999330712247286,0.5000070022963253,0.5000053602871528,0.5000019519318766,0.5000065327475308,0.5000067883244527,0.49999367995561994,0.49999280010779207,0.5000035380774112,0.4999932850046112,0.49999718784156544,0.5000016059038268,0.5000044826279718,0.49999292548972224,0.5000021343624108,0.4999964456400401,0.5000046946192245,0.5000020093159789,0.5000049894968288,0.5000045793783086,0.500007156586327,0.49999295101186564,0.49999304128837296,0.5000021187574147,0.4999930110153446,0.49999656643189877,0.500001892942296,0.5000043760272369,0.49999290309418903,0.5000012412308547,0.4999953985708214,0.5000058109371184,0.5000039080817165,0.5000028806066162,0.5000063535235231,0.5000064727299942,0.4999945548864588,0.4999933107246622,0.5000057255680674,0.4999956144936257,0.5000017458422398,0.4999963636463076,0.4999985687917999,0.49999513583065125,0.49999491071579255,0.4999930123147045,0.5000063048310529,0.5000069899682471,0.49999499467203407,0.5000049664442398,0.4999987835673659,0.5000033886609214,0.5000014247847756,0.5000046454455261,0.5000054224092904,0.5000067824035296,0.49999427657441753,0.49999336995354515,0.500005973047335,0.4999965353701042,0.5000032174016956,0.49999476308010116,0.49999614391127173,0.4999979016975389,0.4999931801700966,0.49999494850388654,0.5000028563351984,0.5000042990216368,0.49999299698601757,0.4999991120684666,0.4999935940762053,0.5000070005016174,0.5000068054939897,0.49999671139490565,0.5000058118662277,0.4999995462286405,0.5000032674301987,0.5000019559869988,0.5000036089537504,0.5000063573112792,0.5000055907151214,0.49999672242310755,0.49999565451142836,0.5000069368498842,0.5000015643580389,0.5000067241931737,0.4999931826082015,0.49999305194449273,0.5000050596547444,0.49999608603223705,0.5000033549741427,0.4999942259569834,0.4999948505884686,0.5000004558960444,0.49999326991026044,0.49999857152951976,0.49999802270826366,0.4999988817591816,0.4999961530123686,0.49999361713873247,0.49999492072953716,0.500002102581391,0.5000028012989393,0.49999369676013566,0.4999959149353478,0.4999932717709679,0.5000050108072518,0.5000054119424562,0.4999931185215859,0.4999987283587577,0.49999326350356843,0.5000064693725693,0.5000066156856043,0.49999371971054996,0.5000011464854478,0.49999411327193255,0.5000068616781096,0.5000068607385119,0.49999473862954874,0.5000028372656347,0.4999951341227436,0.5000067274646344,0.500006678422609,0.49999563942527503,0.5000038136278271,0.49999589551968093,0.5000064959525584,0.5000064626323707,0.49999613467378357,0.5000041939470017,0.49999619007998114,0.5000064095731238,0.5000064179956583,0.4999961135814399,0.500004054151219,0.4999959589853949,0.5000065275387539,0.5000065685789759,0.4999955855683045,0.5000033713703033,0.49999525675759837,0.5000067336245181,0.5000067623831924,0.49999468254013757,0.5000020439431945,0.49999427841746985,0.5000067288661685,0.5000066636526955,0.4999937165665275,0.49999999223400887,0.4999934285295138,0.500006045964318,0.5000057808712031,0.49999324284970237,0.49999735263386635,0.499993357956252,0.5000041738866026,0.500003626656351,0.4999940124056964,0.4999947257080229,0.49999482595479317,0.5000008935799886,0.50000010105734,0.49999664803990046,0.49999329672741466,0.49999822968501173,0.499996807660703,0.49999603194762726,0.5000009659664578,0.49999447222386023,0.5000028400779825,0.49999370832579054,0.4999934272520107,0.5000052675248916,0.49999874386703524,0.500006320896483,0.4999940144354066,0.4999946278425472,0.5000065678071822,0.5000042273192893,0.5000056718964736,0.4999986994008054,0.49999998363961673,0.5000028021521432,0.50000664695654,0.500000182710624,0.5000048244919146,0.5000056828501318,0.4999961861991821,0.5000027545492663,0.4999942172633566,0.500006271852321,0.5000055958386451,0.49999345942596857,0.49999557164349306,0.4999947488517207,0.5000002500965395,0.4999986010702124,0.49999893153556135,0.4999939218343653,0.5000023176838957,0.49999371363238004,0.4999933891993185,0.5000060782064761,0.50000121396219,0.5000065359936633,0.4999967885272304,0.4999985614659365,0.5000034856806248,0.5000065906250565,0.49999974523745433,0.5000054397471209,0.5000063090432258,0.49999460571345544,0.49999988927683114,0.4999934177469534,0.5000037146066881,0.5000017804216126,0.49999643547988354,0.4999934454317478,0.5000006385048533,0.49999425034307715,0.499993518970251,0.5000059376060145,0.500001473124662,0.5000063220354001,0.49999797227590026,0.50000032012344,0.500001379276628,0.5000058272401279,0.49999667229827116,0.5000065373244695,0.5000061369715958,0.49999350431098,0.4999952520145444,0.4999959064766895,0.49999777330670625,0.4999955559882442,0.5000032742525955,0.49999793755768335,0.5000063540706291,0.4999955613530228,0.49999789220737384,0.5000033133984935,0.5000063658374628,0.4999979244487358,0.5000063923411585,0.5000062850264859,0.49999352138422276,0.49999520243058465,0.4999963188002775,0.4999970090305473,0.49999477494692274,0.5000045134894788,0.4999998640836578,0.5000064183468965,0.4999978681992048,0.5000009102444515,0.5000000434859894,0.5000045432651479,0.499994684937003,0.5000056231161546,0.5000034325002584,0.4999958940893885,0.4999935999648346,0.5000020329288329,0.49999359228320917,0.4999940720875527,0.5000061674245659,0.5000058222449596,0.5000014667301912,0.5000051502292111,0.5000063933476968,0.49999369982132724,0.49999608872549967,0.4999959305889438,0.4999969738492677,0.49999445491967126,0.5000052946964134,0.5000017332882362,0.5000055540954252,0.500000943841131,0.5000042185942121,0.4999960467185733,0.5000000807885077,0.4999938096584745,0.5000006429858591,0.4999969955760896,0.500002806256915,0.49999870263209106,0.500006363610309,0.49999839086691866,0.500002211486874,0.4999978837718878,0.5000018964260439,0.4999936274726571,0.5000019712940633,0.49999803900828177,0.5000019792398473,0.4999980882358745,0.500006358602675,0.49999824293607137,0.5000022774123234,0.49999759347892464,0.5000013483150008,0.4999937062195685,0.5000009547721573,0.4999968797403755,0.5000033420478569,0.49999982019767525,0.5000059839684597,0.5000004573205984,0.5000043448675918,0.4999953897967314,0.4999984255517846,0.4999949031949132,0.4999975974072042,0.499994389987005,0.5000058184731968,0.5000036978458627,0.5000032682239004,0.5000045334712138,0.500006297498769,0.49999370630158235,0.49999440132334116,0.4999996418046335,0.49999392081006555,0.4999944153771798,0.5000052082036385,0.5000062631543686,0.49999684989798576,0.5000059252340734,0.5000028571776034,0.49999792382578034,0.499995385188998,0.5000058489228851,0.49999679288769017,0.50000150012323,0.49999758438474784,0.5000004663869814,0.49999423764284073,0.4999984361019105,0.4999945739412637,0.5000058783503257,0.5000043581940116,0.5000018724999057,0.500005665380059,0.5000057920253974,0.49999476038552343,0.49999382472489334,0.5000037984551509,0.4999946673933895,0.499998814956116,0.4999998792362402,0.5000023920348861,0.4999938363115973,0.4999997138137361,0.4999951284219291,0.5000056210914066,0.5000041662489875,0.5000017432093751,0.5000058154084499,0.5000053998423819,0.49999552011550824,0.4999942595238016,0.5000050710701515,0.4999961666476872,0.5000013812956455,0.499997073635021,0.4999991661572544,0.49999536621351093,0.49999606926857426,0.4999938207694158,0.5000058752011978,0.5000061753298194,0.49999659156948956,0.5000052023567979,0.5000004494415544,0.5000014194196354,0.499999463256613,0.5000052867645907,0.5000031776671301,0.5000061380332171,0.49999402650081304,0.4999938568245769,0.5000034166750421,0.49999496101427954,0.50000004162725,0.4999978953267335,0.4999995826653984,0.4999954361893139,0.4999957164748969,0.4999939741862819,0.5000052276469169,0.5000058783832037,0.49999494372862063,0.5000031553761142,0.4999972603770063,0.5000045758595879,0.5000034576963001,0.5000016179396025,0.50000600291269,0.5000041053298636,0.4999979792241442,0.49999674522136356,0.5000060264879753,0.5000015430476645,0.5000058742948017,0.4999939685850893,0.49999391681760436,0.5000038312170084,0.49999573873344616,0.5000017214917167,0.49999596958307246,0.4999968899958883,0.4999983482525223,0.4999939822324965,0.4999964166962204,0.50000105540452,0.5000020421351451,0.49999449604222423,0.4999966346877715,0.4999939774291814,0.5000050305843168,0.500005476154235,0.4999942732930624,0.5000009620945681,0.4999950459315773,0.5000060079568428,0.5000058616792511,0.49999675354241285,0.5000043888823542,0.4999980742600656,0.5000044853216402,0.5000040048090896,0.5000000657439627,0.5000059126314567,0.5000012898009856,0.5000018733377407,0.5000013332922255,0.5000028572220905,0.500005809342223,0.5000036956488582,0.49999933523020623,0.49999889524412905,0.5000046458149752,0.500004835244134,0.5000050946757905,0.49999742544452225,0.49999713139941315,0.500005542907471,0.5000036741260658,0.5000057251361907,0.4999962261161522,0.49999606120479023,0.5000058779178881,0.5000027533728284,0.5000059264691314,0.4999956067341327,0.4999955384117003,0.5000059548879515,0.5000022765972698,0.5000059578922559,0.4999954206690982,0.4999954280105679,0.5000059492743708,0.5000023127073536,0.500005933651068,0.49999560623307837,0.49999569064719424,0.5000058808282365,0.5000028535446076,0.5000058103173239,0.4999962156214065,0.49999639979894805,0.500005613169113,0.5000038095366102,0.5000053926803787,0.4999973868172547,0.4999977015979102,0.5000048739791288,0.5000049465256388,0.5000043708973106,0.49999924615490077,0.4999997004487984,0.5000033346317615,0.5000058020303607,0.5000024417296041,0.5000017198739934,0.500002252718661,0.5000008121292856,0.5000056787966243,0.49999957088906427,0.5000042842588828,0.5000047193413713,0.4999976112603294,0.5000038776422497,0.4999963614793941,0.5000058291134587,0.5000058903452804,0.499994845926703,0.50000029161176,0.4999942559218845,0.5000049893228113,0.5000044566176691,0.4999942886592927,0.49999615773368006,0.4999950311272515,0.5000012383991935,0.5000002416219763,0.49999721617556603,0.4999941351661141,0.49999922355311305,0.4999963061677567,0.4999955142055763,0.5000024827922999,0.49999659354650805,0.5000043462844191,0.49999417946154084,0.4999944294414077,0.5000058123678491,0.5000024060270681,0.5000055247553015,0.49999779277387035,0.49999907188383663,0.5000030808439745,0.5000058324405896,0.5000004744560973,0.500004139800741,0.5000050149016485,0.4999964335725212,0.5000019590795314,0.49999463782846476,0.5000051301794041,0.5000042281907866,0.4999946408838065,0.4999951564730668,0.49999661263851836,0.4999983585188033,0.49999686179766234,0.5000013297411418,0.4999961175295697,0.5000042366490844,0.49999429360221226,0.4999948602998479,0.5000057192699561,0.5000040885772699,0.500004095774726,0.500000925996982,0.5000026865751412,0.49999895998345084,0.5000039221340465,0.49999568086741697,0.5000056106887862,0.5000048272672429,0.49999448192701657,0.4999952734397385,0.49999687706478047,0.49999768944769624,0.4999959780888702,0.5000028022774454,0.49999785874876207,0.5000054575224707,0.4999955246685321,0.4999971814760911,0.5000039516726272,0.5000057388941274,0.49999988994755334,0.5000049581602872,0.5000056924733812,0.4999946242648175,0.4999979711321538,0.4999948513374896,0.5000004189333761,0.4999980692354705,0.5000007753904295,0.4999963250232539,0.5000047804717108,0.49999491646542354,0.49999650195190165,0.500004284648716,0.5000056943345524,0.4999997528790871,0.5000051479749784,0.5000057109555138,0.49999436774850836,0.4999967212858978,0.49999587918463345,0.4999983653441235,0.4999960558801884,0.5000032779023624,0.4999990760415394,0.5000056945275311,0.4999975420877994,0.500000260290364,0.5000004918893395,0.5000042475359683,0.49999548872668437,0.500005036263535,0.5000031042949425,0.49999637836820654,0.4999943800746363,0.5000019426349975,0.4999943403355031,0.4999949268853701,0.5000052877778639,0.5000053215273045,0.5000006977764663,0.5000049112069713,0.5000056580227248,0.49999434824887573,0.4999958539120526,0.4999972790662309,0.4999964013016024,0.49999462415145596,0.5000052665046053,0.5000028039723204,0.5000039943236588,0.5000023258626903,0.5000047807019719,0.499995337972124,0.4999982751752423,0.49999533335160845,0.49999858491268395,0.49999573531471425,0.5000041922739972,0.5000010996342454,0.5000049374694003,0.5000009922613968,0.5000040385465372,0.49999596370486266,0.49999901228891325,0.49999506841493635,0.49999891121194284,0.49999582815407395,0.5000042396346085,0.5000013937203521,0.5000046518841369,0.5000016953607593,0.5000046181697774,0.4999952678509826,0.4999977177272909,0.49999602002695503,0.49999725034451836,0.4999947996514454,0.5000053059105257,0.5000035268997097,0.5000027235502157,0.5000040624634549,0.5000055720022141,0.4999944222356325,0.49999518823454747,0.4999992607588898,0.49999478537066827,0.4999947825464692,0.5000050089619398,0.50000555013026,0.4999981555451339,0.5000055168535372,0.5000035999197187,0.49999690227417143,0.49999504087379937,0.500004362067405,0.49999580010528444,0.49999943952976045,0.4999998291996253,0.5000024720606806,0.4999944544678836,0.5000009878688136,0.4999968883301929,0.5000037639126749,0.5000014942808245,0.5000040668447382,0.5000030957798627,0.5000054399039122,0.4999944701987517,0.4999950664705374,0.5000001282957577,0.4999945088394018,0.49999578721359306,0.5000034676601812,0.5000049557125453,0.4999954620548786,0.500003633135216,0.49999937967712527,0.5000017345056033,0.4999994666518428,0.5000050009822649,0.5000018190194246,0.5000051042697986,0.4999945660350709,0.499995326411987,0.499999960361566,0.4999945233876637,0.49999611729532506,0.5000028222199351,0.500004364918579,0.4999948486100828,0.5000021863167916,0.4999974736943918,0.5000037079214338,0.5000020442425633,0.5000031063448774,0.5000043877177652,0.5000052827501473,0.4999953303786262,0.499994645626614,0.5000039679207764,0.49999615869987246,0.5000008023520109,0.4999976277907887,0.49999931167932404,0.4999960044131961,0.4999962843028389,0.4999945850890098,0.5000049258552791,0.50000539919533,0.4999961575586006,0.500003795519268,0.4999989528081906,0.5000027667050128,0.5000013360260038,0.5000033429209652,0.5000044116222497,0.500005092710201,0.4999959008139331,0.4999951079040762,0.5000049138982217,0.4999979619079346,0.5000031411278187,0.4999954503811031,0.49999631388552307,0.4999993255179362,0.499994585916609,0.4999969386013322,0.5000010984663597,0.50000227017952,0.4999948052761599,0.4999979996410071,0.4999946530090845,0.5000052228623019,0.5000053986130223,0.4999961622948211,0.5000033503755597,0.4999979491510594,0.5000039599202418,0.5000031917564718,0.5000009785960682,0.5000053862434505,0.5000027940928994,0.4999995048043109,0.49999859526914975,0.5000046987336701,0.5000033040002405,0.5000052894791743,0.499995741919706,0.4999952922532169,0.5000051784023638,0.49999944326391227,0.5000045540242473,0.4999946412841267,0.49999474055394794,0.5000030718925809,0.4999962498192182,0.5000018903304074,0.4999959029511572,0.4999963287798357,0.5000000788691953,0.49999477362917377,0.49999895351062024,0.49999825716951946,0.4999987521628023,0.49999750366594914,0.49999483178438187,0.4999967258830837,0.5000005971229701,0.500001005588449,0.49999584550630793,0.49999573989588847,0.4999954321674584,0.5000023741570345,0.500002648625965,0.49999502526817835,0.49999685434715097,0.49999486465392307,0.5000034960221311,0.5000036513022746,0.49999473765190827,0.49999776687492287,0.49999470245717076,0.50000408626979,0.5000041546486299,0.4999946881002876,0.4999982822986716,0.4999946896046871,0.5000042948263455,0.5000042992769477,0.4999946948352303],"x":[40000.0,40020.02002002002,40040.04004004004,40060.06006006006,40080.08008008008,40100.1001001001,40120.12012012012,40140.14014014014,40160.16016016016,40180.18018018018,40200.2002002002,40220.22022022022,40240.24024024024,40260.260260260264,40280.28028028028,40300.3003003003,40320.32032032032,40340.34034034034,40360.36036036036,40380.38038038038,40400.4004004004,40420.42042042042,40440.44044044044,40460.46046046046,40480.48048048048,40500.5005005005,40520.52052052052,40540.54054054054,40560.56056056056,40580.58058058058,40600.6006006006,40620.62062062062,40640.64064064064,40660.66066066066,40680.68068068068,40700.7007007007,40720.72072072072,40740.74074074074,40760.760760760764,40780.780780780784,40800.800800800804,40820.82082082082,40840.84084084084,40860.86086086086,40880.88088088088,40900.9009009009,40920.92092092092,40940.94094094094,40960.96096096096,40980.98098098098,41001.001001001,41021.02102102102,41041.04104104104,41061.06106106106,41081.08108108108,41101.1011011011,41121.12112112112,41141.14114114114,41161.16116116116,41181.18118118118,41201.2012012012,41221.22122122122,41241.24124124124,41261.261261261265,41281.281281281284,41301.301301301304,41321.321321321324,41341.341341341344,41361.36136136136,41381.38138138138,41401.4014014014,41421.42142142142,41441.44144144144,41461.46146146146,41481.48148148148,41501.5015015015,41521.52152152152,41541.54154154154,41561.56156156156,41581.58158158158,41601.6016016016,41621.62162162162,41641.64164164164,41661.66166166166,41681.68168168168,41701.7017017017,41721.72172172172,41741.74174174174,41761.761761761765,41781.781781781785,41801.801801801805,41821.821821821824,41841.841841841844,41861.861861861864,41881.88188188188,41901.9019019019,41921.92192192192,41941.94194194194,41961.96196196196,41981.98198198198,42002.002002002,42022.02202202202,42042.04204204204,42062.06206206206,42082.08208208208,42102.1021021021,42122.12212212212,42142.14214214214,42162.16216216216,42182.18218218218,42202.2022022022,42222.22222222222,42242.24224224224,42262.262262262266,42282.282282282285,42302.302302302305,42322.322322322325,42342.342342342345,42362.362362362364,42382.382382382384,42402.402402402404,42422.42242242242,42442.44244244244,42462.46246246246,42482.48248248248,42502.5025025025,42522.52252252252,42542.54254254254,42562.56256256256,42582.58258258258,42602.6026026026,42622.62262262262,42642.64264264264,42662.66266266266,42682.68268268268,42702.7027027027,42722.72272272272,42742.74274274274,42762.762762762766,42782.782782782786,42802.802802802806,42822.822822822825,42842.842842842845,42862.862862862865,42882.882882882885,42902.902902902904,42922.922922922924,42942.942942942944,42962.96296296296,42982.98298298298,43003.003003003,43023.02302302302,43043.04304304304,43063.06306306306,43083.08308308308,43103.1031031031,43123.12312312312,43143.14314314314,43163.16316316316,43183.18318318318,43203.2032032032,43223.22322322322,43243.24324324324,43263.26326326327,43283.28328328329,43303.303303303306,43323.323323323326,43343.343343343346,43363.363363363365,43383.383383383385,43403.403403403405,43423.423423423425,43443.443443443444,43463.463463463464,43483.483483483484,43503.5035035035,43523.52352352352,43543.54354354354,43563.56356356356,43583.58358358358,43603.6036036036,43623.62362362362,43643.64364364364,43663.66366366366,43683.68368368368,43703.7037037037,43723.72372372372,43743.74374374374,43763.76376376377,43783.78378378379,43803.80380380381,43823.82382382383,43843.843843843846,43863.863863863866,43883.883883883886,43903.903903903905,43923.923923923925,43943.943943943945,43963.963963963964,43983.983983983984,44004.004004004004,44024.024024024024,44044.04404404404,44064.06406406406,44084.08408408408,44104.1041041041,44124.12412412412,44144.14414414414,44164.16416416416,44184.18418418418,44204.2042042042,44224.22422422422,44244.24424424424,44264.26426426427,44284.28428428429,44304.30430430431,44324.32432432433,44344.34434434435,44364.364364364366,44384.384384384386,44404.404404404406,44424.424424424426,44444.444444444445,44464.464464464465,44484.484484484485,44504.504504504504,44524.524524524524,44544.544544544544,44564.56456456456,44584.58458458458,44604.6046046046,44624.62462462462,44644.64464464464,44664.66466466466,44684.68468468468,44704.7047047047,44724.72472472472,44744.74474474474,44764.76476476477,44784.78478478479,44804.80480480481,44824.82482482483,44844.84484484485,44864.86486486487,44884.88488488489,44904.904904904906,44924.924924924926,44944.944944944946,44964.964964964965,44984.984984984985,45005.005005005005,45025.025025025025,45045.045045045044,45065.065065065064,45085.085085085084,45105.1051051051,45125.12512512512,45145.14514514514,45165.16516516516,45185.18518518518,45205.2052052052,45225.22522522522,45245.24524524524,45265.26526526527,45285.28528528529,45305.30530530531,45325.32532532533,45345.34534534535,45365.36536536537,45385.38538538539,45405.40540540541,45425.42542542543,45445.445445445446,45465.465465465466,45485.485485485486,45505.505505505505,45525.525525525525,45545.545545545545,45565.565565565565,45585.585585585584,45605.605605605604,45625.625625625624,45645.64564564564,45665.66566566566,45685.68568568568,45705.7057057057,45725.72572572572,45745.74574574574,45765.76576576577,45785.78578578579,45805.80580580581,45825.82582582583,45845.84584584585,45865.86586586587,45885.88588588589,45905.90590590591,45925.92592592593,45945.94594594595,45965.96596596597,45985.985985985986,46006.006006006006,46026.026026026026,46046.046046046045,46066.066066066065,46086.086086086085,46106.106106106105,46126.126126126124,46146.146146146144,46166.166166166164,46186.18618618618,46206.2062062062,46226.22622622622,46246.24624624624,46266.26626626627,46286.28628628629,46306.30630630631,46326.32632632633,46346.34634634635,46366.36636636637,46386.38638638639,46406.40640640641,46426.42642642643,46446.44644644645,46466.46646646647,46486.48648648649,46506.50650650651,46526.526526526526,46546.546546546546,46566.566566566566,46586.586586586585,46606.606606606605,46626.626626626625,46646.646646646645,46666.666666666664,46686.686686686684,46706.706706706704,46726.72672672672,46746.74674674674,46766.76676676677,46786.78678678679,46806.80680680681,46826.82682682683,46846.84684684685,46866.86686686687,46886.88688688689,46906.90690690691,46926.92692692693,46946.94694694695,46966.96696696697,46986.98698698699,47007.00700700701,47027.02702702703,47047.04704704705,47067.067067067066,47087.087087087086,47107.107107107106,47127.127127127125,47147.147147147145,47167.167167167165,47187.187187187184,47207.207207207204,47227.227227227224,47247.247247247244,47267.26726726727,47287.28728728729,47307.30730730731,47327.32732732733,47347.34734734735,47367.36736736737,47387.38738738739,47407.40740740741,47427.42742742743,47447.44744744745,47467.46746746747,47487.48748748749,47507.50750750751,47527.52752752753,47547.54754754755,47567.56756756757,47587.587587587586,47607.607607607606,47627.627627627626,47647.647647647645,47667.667667667665,47687.687687687685,47707.707707707705,47727.727727727724,47747.747747747744,47767.76776776777,47787.78778778779,47807.80780780781,47827.82782782783,47847.84784784785,47867.86786786787,47887.88788788789,47907.90790790791,47927.92792792793,47947.94794794795,47967.96796796797,47987.98798798799,48008.00800800801,48028.02802802803,48048.04804804805,48068.06806806807,48088.08808808809,48108.10810810811,48128.128128128126,48148.148148148146,48168.168168168166,48188.188188188185,48208.208208208205,48228.228228228225,48248.248248248245,48268.26826826827,48288.28828828829,48308.30830830831,48328.32832832833,48348.34834834835,48368.36836836837,48388.38838838839,48408.40840840841,48428.42842842843,48448.44844844845,48468.46846846847,48488.48848848849,48508.50850850851,48528.52852852853,48548.54854854855,48568.56856856857,48588.58858858859,48608.60860860861,48628.62862862863,48648.64864864865,48668.668668668666,48688.688688688686,48708.708708708706,48728.728728728725,48748.748748748745,48768.76876876877,48788.78878878879,48808.80880880881,48828.82882882883,48848.84884884885,48868.86886886887,48888.88888888889,48908.90890890891,48928.92892892893,48948.94894894895,48968.96896896897,48988.98898898899,49009.00900900901,49029.02902902903,49049.04904904905,49069.06906906907,49089.08908908909,49109.10910910911,49129.12912912913,49149.14914914915,49169.16916916917,49189.18918918919,49209.209209209206,49229.229229229226,49249.249249249246,49269.26926926927,49289.28928928929,49309.30930930931,49329.32932932933,49349.34934934935,49369.36936936937,49389.38938938939,49409.40940940941,49429.42942942943,49449.44944944945,49469.46946946947,49489.48948948949,49509.50950950951,49529.52952952953,49549.54954954955,49569.56956956957,49589.58958958959,49609.60960960961,49629.62962962963,49649.64964964965,49669.66966966967,49689.68968968969,49709.70970970971,49729.72972972973,49749.749749749746,49769.76976976977,49789.78978978979,49809.80980980981,49829.82982982983,49849.84984984985,49869.86986986987,49889.88988988989,49909.90990990991,49929.92992992993,49949.94994994995,49969.96996996997,49989.98998998999,50010.01001001001,50030.03003003003,50050.05005005005,50070.07007007007,50090.09009009009,50110.11011011011,50130.13013013013,50150.15015015015,50170.17017017017,50190.19019019019,50210.21021021021,50230.23023023023,50250.250250250254,50270.27027027027,50290.29029029029,50310.31031031031,50330.33033033033,50350.35035035035,50370.37037037037,50390.39039039039,50410.41041041041,50430.43043043043,50450.45045045045,50470.47047047047,50490.49049049049,50510.51051051051,50530.53053053053,50550.55055055055,50570.57057057057,50590.59059059059,50610.61061061061,50630.63063063063,50650.65065065065,50670.67067067067,50690.69069069069,50710.71071071071,50730.73073073073,50750.750750750754,50770.770770770774,50790.790790790794,50810.81081081081,50830.83083083083,50850.85085085085,50870.87087087087,50890.89089089089,50910.91091091091,50930.93093093093,50950.95095095095,50970.97097097097,50990.99099099099,51011.01101101101,51031.03103103103,51051.05105105105,51071.07107107107,51091.09109109109,51111.11111111111,51131.13113113113,51151.15115115115,51171.17117117117,51191.19119119119,51211.21121121121,51231.23123123123,51251.251251251255,51271.271271271275,51291.291291291294,51311.311311311314,51331.331331331334,51351.35135135135,51371.37137137137,51391.39139139139,51411.41141141141,51431.43143143143,51451.45145145145,51471.47147147147,51491.49149149149,51511.51151151151,51531.53153153153,51551.55155155155,51571.57157157157,51591.59159159159,51611.61161161161,51631.63163163163,51651.65165165165,51671.67167167167,51691.69169169169,51711.71171171171,51731.73173173173,51751.751751751755,51771.771771771775,51791.791791791795,51811.811811811815,51831.831831831834,51851.851851851854,51871.871871871874,51891.89189189189,51911.91191191191,51931.93193193193,51951.95195195195,51971.97197197197,51991.99199199199,52012.01201201201,52032.03203203203,52052.05205205205,52072.07207207207,52092.09209209209,52112.11211211211,52132.13213213213,52152.15215215215,52172.17217217217,52192.19219219219,52212.21221221221,52232.23223223223,52252.252252252256,52272.272272272276,52292.292292292295,52312.312312312315,52332.332332332335,52352.352352352355,52372.372372372374,52392.392392392394,52412.412412412414,52432.43243243243,52452.45245245245,52472.47247247247,52492.49249249249,52512.51251251251,52532.53253253253,52552.55255255255,52572.57257257257,52592.59259259259,52612.61261261261,52632.63263263263,52652.65265265265,52672.67267267267,52692.69269269269,52712.71271271271,52732.73273273273,52752.752752752756,52772.772772772776,52792.792792792796,52812.812812812816,52832.832832832835,52852.852852852855,52872.872872872875,52892.892892892894,52912.912912912914,52932.932932932934,52952.95295295295,52972.97297297297,52992.99299299299,53013.01301301301,53033.03303303303,53053.05305305305,53073.07307307307,53093.09309309309,53113.11311311311,53133.13313313313,53153.15315315315,53173.17317317317,53193.19319319319,53213.21321321321,53233.23323323323,53253.25325325326,53273.27327327328,53293.293293293296,53313.313313313316,53333.333333333336,53353.353353353355,53373.373373373375,53393.393393393395,53413.413413413415,53433.433433433434,53453.453453453454,53473.473473473474,53493.49349349349,53513.51351351351,53533.53353353353,53553.55355355355,53573.57357357357,53593.59359359359,53613.61361361361,53633.63363363363,53653.65365365365,53673.67367367367,53693.69369369369,53713.71371371371,53733.73373373373,53753.75375375376,53773.77377377378,53793.7937937938,53813.81381381382,53833.833833833836,53853.853853853856,53873.873873873876,53893.893893893895,53913.913913913915,53933.933933933935,53953.953953953955,53973.973973973974,53993.993993993994,54014.014014014014,54034.03403403403,54054.05405405405,54074.07407407407,54094.09409409409,54114.11411411411,54134.13413413413,54154.15415415415,54174.17417417417,54194.19419419419,54214.21421421421,54234.23423423423,54254.25425425426,54274.27427427428,54294.2942942943,54314.31431431432,54334.33433433434,54354.35435435436,54374.374374374376,54394.394394394396,54414.414414414416,54434.434434434435,54454.454454454455,54474.474474474475,54494.494494494495,54514.514514514514,54534.534534534534,54554.554554554554,54574.57457457457,54594.59459459459,54614.61461461461,54634.63463463463,54654.65465465465,54674.67467467467,54694.69469469469,54714.71471471471,54734.73473473473,54754.75475475476,54774.77477477478,54794.7947947948,54814.81481481482,54834.83483483484,54854.85485485486,54874.87487487488,54894.8948948949,54914.914914914916,54934.934934934936,54954.954954954956,54974.974974974975,54994.994994994995,55015.015015015015,55035.035035035035,55055.055055055054,55075.075075075074,55095.095095095094,55115.11511511511,55135.13513513513,55155.15515515515,55175.17517517517,55195.19519519519,55215.21521521521,55235.23523523523,55255.25525525526,55275.27527527528,55295.2952952953,55315.31531531532,55335.33533533534,55355.35535535536,55375.37537537538,55395.3953953954,55415.41541541542,55435.43543543544,55455.455455455456,55475.475475475476,55495.495495495496,55515.515515515515,55535.535535535535,55555.555555555555,55575.575575575574,55595.595595595594,55615.615615615614,55635.635635635634,55655.65565565565,55675.67567567567,55695.69569569569,55715.71571571571,55735.73573573573,55755.75575575576,55775.77577577578,55795.7957957958,55815.81581581582,55835.83583583584,55855.85585585586,55875.87587587588,55895.8958958959,55915.91591591592,55935.93593593594,55955.95595595596,55975.975975975976,55995.995995995996,56016.016016016016,56036.036036036036,56056.056056056055,56076.076076076075,56096.096096096095,56116.116116116114,56136.136136136134,56156.156156156154,56176.17617617617,56196.19619619619,56216.21621621621,56236.23623623623,56256.25625625626,56276.27627627628,56296.2962962963,56316.31631631632,56336.33633633634,56356.35635635636,56376.37637637638,56396.3963963964,56416.41641641642,56436.43643643644,56456.45645645646,56476.47647647648,56496.4964964965,56516.516516516516,56536.536536536536,56556.556556556556,56576.576576576575,56596.596596596595,56616.616616616615,56636.636636636635,56656.656656656654,56676.676676676674,56696.696696696694,56716.71671671671,56736.73673673673,56756.75675675676,56776.77677677678,56796.7967967968,56816.81681681682,56836.83683683684,56856.85685685686,56876.87687687688,56896.8968968969,56916.91691691692,56936.93693693694,56956.95695695696,56976.97697697698,56996.996996997,57017.01701701702,57037.03703703704,57057.057057057056,57077.077077077076,57097.097097097096,57117.117117117115,57137.137137137135,57157.157157157155,57177.177177177175,57197.197197197194,57217.217217217214,57237.237237237234,57257.25725725726,57277.27727727728,57297.2972972973,57317.31731731732,57337.33733733734,57357.35735735736,57377.37737737738,57397.3973973974,57417.41741741742,57437.43743743744,57457.45745745746,57477.47747747748,57497.4974974975,57517.51751751752,57537.53753753754,57557.55755755756,57577.57757757758,57597.597597597596,57617.617617617616,57637.637637637636,57657.657657657655,57677.677677677675,57697.697697697695,57717.717717717715,57737.737737737734,57757.75775775776,57777.77777777778,57797.7977977978,57817.81781781782,57837.83783783784,57857.85785785786,57877.87787787788,57897.8978978979,57917.91791791792,57937.93793793794,57957.95795795796,57977.97797797798,57997.997997998,58018.01801801802,58038.03803803804,58058.05805805806,58078.07807807808,58098.0980980981,58118.11811811812,58138.138138138136,58158.158158158156,58178.178178178176,58198.198198198195,58218.218218218215,58238.238238238235,58258.25825825826,58278.27827827828,58298.2982982983,58318.31831831832,58338.33833833834,58358.35835835836,58378.37837837838,58398.3983983984,58418.41841841842,58438.43843843844,58458.45845845846,58478.47847847848,58498.4984984985,58518.51851851852,58538.53853853854,58558.55855855856,58578.57857857858,58598.5985985986,58618.61861861862,58638.63863863864,58658.658658658656,58678.678678678676,58698.698698698696,58718.718718718716,58738.738738738735,58758.75875875876,58778.77877877878,58798.7987987988,58818.81881881882,58838.83883883884,58858.85885885886,58878.87887887888,58898.8988988989,58918.91891891892,58938.93893893894,58958.95895895896,58978.97897897898,58998.998998999,59019.01901901902,59039.03903903904,59059.05905905906,59079.07907907908,59099.0990990991,59119.11911911912,59139.13913913914,59159.15915915916,59179.17917917918,59199.199199199196,59219.219219219216,59239.239239239236,59259.25925925926,59279.27927927928,59299.2992992993,59319.31931931932,59339.33933933934,59359.35935935936,59379.37937937938,59399.3993993994,59419.41941941942,59439.43943943944,59459.45945945946,59479.47947947948,59499.4994994995,59519.51951951952,59539.53953953954,59559.55955955956,59579.57957957958,59599.5995995996,59619.61961961962,59639.63963963964,59659.65965965966,59679.67967967968,59699.6996996997,59719.71971971972,59739.739739739736,59759.75975975976,59779.77977977978,59799.7997997998,59819.81981981982,59839.83983983984,59859.85985985986,59879.87987987988,59899.8998998999,59919.91991991992,59939.93993993994,59959.95995995996,59979.97997997998,60000.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/medium.json new file mode 100644 index 000000000000..3ac918e7fa14 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/medium.json @@ -0,0 +1 @@ +{"C":[0.4999998986788179,0.4976812961506306,0.5004275821693361,0.5013361347905305,0.4990574391560986,0.49964585451277155,0.5009721961959278,0.49936711809322804,0.4999289543984067,0.5005685167813786,0.4993214626315927,0.5005069224601237,0.4997676708041729,0.49998122625160246,0.5001952204943411,0.49970387525894455,0.500340599308916,0.49965153269347706,0.5003321122906097,0.49970496738970055,0.5002337405391531,0.49985801262127255,0.500017814634699,0.5001265518876318,0.4997445379803783,0.5003109606965558,0.49976215800197954,0.5000358835528512,0.5001921971525788,0.49973098604803057,0.5000950893717319,0.5001785745651587,0.4997742379493461,0.4999573335848714,0.5002349384600715,0.4999850167834194,0.4997775232948492,0.49999064251380687,0.5002063221766023,0.5000997796971824,0.4998691099174272,0.4998090557870596,0.4999461366482786,0.5001159678147515,0.5001844040463557,0.5001362864886584,0.5000304696931632,0.49992923238582504,0.49986414277798524,0.49983753399670017,0.4998371952066094,0.4998487135291674,0.49986129586088934,0.499868883774003,0.4998694027944292,0.49986399982341256,0.49985692833128165,0.49985578555606835,0.49987095823192534,0.49991245536902895,0.4999826323060248,0.5000662775605318,0.5001259645977664,0.5001163663975099,0.5000241320297482,0.4999084223222534,0.499880428902191,0.49998819358896746,0.5001117458071146,0.5000719824601895,0.4999158916219972,0.4999131930410557,0.5000803497703713,0.50007148103979,0.4998996300428949,0.4999813383795395,0.5001069964716345,0.4999309408431397,0.4999667747392611,0.500099715510383,0.4999083917318008,0.5000332085625757,0.5000328380697937,0.4999213618637716,0.5000976212679727,0.4999036136053946,0.5000851258865349,0.4999277870173739,0.5000627574989199,0.4999408690810491,0.5000618293241991,0.49993013242064294,0.5000805257700132,0.499911260243961,0.5000869634912843,0.49993308370743095,0.5000246202734254,0.5000318454460106,0.4999226306643457,0.5000782602951661,0.4999793078957458,0.49994237682463927,0.5000787647179137,0.499993199722455,0.49992481767682817,0.5000439218524668,0.5000608263352613,0.49994781319888815,0.4999387721181395,0.5000383270826532,0.5000734533495036,0.5000029412018551,0.49993228852748905,0.4999394191997098,0.5000025915051012,0.5000587822025029,0.5000716322520272,0.5000454491137879,0.5000036060839174,0.4999664201072438,0.49994283188984595,0.4999324933207942,0.49993086462787584,0.49993304178068015,0.49993548011331623,0.4999363485178441,0.4999354044633502,0.4999339059071926,0.49993463493827045,0.49994169554617085,0.4999593953921716,0.4999894926342297,0.5000270127851532,0.5000572791615651,0.500059750338448,0.5000232863348861,0.4999664453350648,0.4999383085895503,0.4999757971030385,0.500044036229399,0.5000518139576007,0.49997882058843063,0.49994253194153826,0.5000154587647849,0.5000552680532564,0.49997100798059724,0.4999587327411801,0.5000520238412443,0.5000004932550265,0.49995051599428486,0.5000509894446833,0.49998586156447217,0.4999718729257874,0.5000521023979555,0.4999468286376013,0.500038843491421,0.4999809520187276,0.5000007722928297,0.5000128383843223,0.49997876535527863,0.5000249210697586,0.4999756030094486,0.5000196920315949,0.49998957482573286,0.49999637307149186,0.5000214356157866,0.49996067392926224,0.5000501937426398,0.49995486415184764,0.500019244147867,0.5000197381769711,0.4999522406088293,0.5000378115487564,0.5000093129347903,0.49995246064675436,0.5000257902822025,0.5000334917234446,0.49996069565109263,0.4999753169735936,0.5000401222718699,0.5000293838592217,0.49996965253355835,0.4999573397104137,0.5000021729234457,0.5000423089681884,0.5000376678786862,0.5000011898709081,0.4999667277961806,0.49995477540902933,0.49996502813817395,0.49998646601897434,0.5000083238004517,0.5000248418230936,0.5000349210279064,0.5000399519759515,0.5000419114746557,0.5000423047490808,0.5000417573916996,0.5000399313080839,0.5000356062350162,0.500027008390958,0.5000126531682073,0.4999929267281793,0.49997207718081654,0.49995905662449763,0.4999644270106335,0.4999915942701097,0.500026717293909,0.5000405552769471,0.5000138521797719,0.49997011073378295,0.49996500902452595,0.5000119666622549,0.5000394000828237,0.4999949212112865,0.49996097110633764,0.5000118503847756,0.5000339551367653,0.4999710505687206,0.4999870222480169,0.5000383258318444,0.4999746761705387,0.4999926030343041,0.5000324918118106,0.49996257210565265,0.5000256458836382,0.4999930617648778,0.49998941565184934,0.5000231749848374,0.49996943165975405,0.5000341334669735,0.49996454532537105,0.5000356034683311,0.49996512006080496,0.5000327791880294,0.4999718942950806,0.5000193568136952,0.4999943847794864,0.49998805353630216,0.500028486315503,0.4999644753097404,0.5000249949539578,0.500002261304886,0.49997045170364673,0.5000314188410723,0.4999998416165165,0.49996773261647515,0.5000211187844588,0.5000226384604437,0.499971941760843,0.4999809378585183,0.5000268214474914,0.5000247293109005,0.49998362016954656,0.49996690925294696,0.49999182479945603,0.5000242662969303,0.500032421612259,0.5000148737196964,0.4999892635707911,0.49997165267809246,0.49996743576292774,0.4999736284153723,0.49998453125725567,0.4999955413751913,0.5000042450019795,0.5000099339172963,0.5000127241635087,0.500012870295644,0.500010421457497,0.5000052019558029,0.4999971051791601,0.49998670740252255,0.49997608372748886,0.4999693302860848,0.4999717632060062,0.49998669790899064,0.5000103002556083,0.5000287848239018,0.5000252103491236,0.4999975211070236,0.499971470942471,0.4999805080097308,0.5000173833063011,0.5000271749734174,0.4999894114450174,0.49997211036878264,0.5000132211989505,0.5000237682421543,0.4999766363906601,0.49999122712176997,0.5000290663386943,0.4999816814775485,0.4999921285304613,0.5000263508499788,0.49997266530894663,0.5000150259117343,0.5000014522782538,0.4999847562555485,0.5000237772037442,0.49997242557369115,0.5000283982307803,0.4999720093889728,0.5000275362392695,0.4999724486913774,0.5000279012145233,0.4999721941499594,0.5000258681172045,0.49997967109610114,0.5000098553835826,0.5000049743467816,0.49997999581885666,0.5000273902405782,0.4999804771056566,0.4999972478588745,0.5000240254808928,0.499977495189865,0.4999951919637458,0.5000266211363805,0.4999901470337724,0.4999768343335983,0.5000146029928103,0.5000226454101199,0.49998891300248804,0.4999742715597393,0.49999821544297435,0.500023630643178,0.5000208045572532,0.49999756283977587,0.49997786109849607,0.49997512239707587,0.4999867894635262,0.5000032074964396,0.5000165146623006,0.5000237188902803,0.5000255387757123,0.5000241746110713,0.5000217609614568,0.5000197663600665,0.5000189681178203,0.5000195977353367,0.5000214198057845,0.5000236728564968,0.5000249420747491,0.5000231902956721,0.5000163268676203,0.5000036586147487,0.4999879717689983,0.4999766205712203,0.4999786972075901,0.4999968112025598,0.5000187773881808,0.5000223417938978,0.49999950236934565,0.4999767403671977,0.49998873568259783,0.5000197432126848,0.5000143369477951,0.49998008307928354,0.4999897582818786,0.5000232395930272,0.4999975192966295,0.49997937276630855,0.5000199133720206,0.49999960701724583,0.4999818622029464,0.5000232076434262,0.49998461462805327,0.5000019357754414,0.5000104174441263,0.4999814972257626,0.5000222358020547,0.4999769839980185,0.5000224483222115,0.49997826666186923,0.5000215185282091,0.49997807778990594,0.5000225521383529,0.49997751510784805,0.5000203136126541,0.49998549951663374,0.5000042999679054,0.5000087704442792,0.4999802330002378,0.5000214118598567,0.49999075087825756,0.49998902453018235,0.5000221281129003,0.4999900422965659,0.49998511929115086,0.5000195892763942,0.5000061457830022,0.4999785308002333,0.4999961314645715,0.5000210254918428,0.5000089279347391,0.49998316730964937,0.49998159102521067,0.5000025367449948,0.5000197715042592,0.500018105133472,0.5000027900953347,0.4999869786976515,0.49997922177604137,0.4999804605425091,0.49998724550922485,0.4999955875114785,0.5000028939076343,0.5000081490505208,0.5000113254830898,0.5000127450827921,0.5000126607413867,0.5000110731672629,0.5000077405959634,0.5000023801971732,0.4999950964136457,0.49998700357173936,0.4999807465656944,0.499980196645194,0.49998841278968403,0.5000039026784229,0.5000179065511068,0.5000180601668995,0.5000007540649554,0.499981901402666,0.4999855646117456,0.5000100769343019,0.5000187556541843,0.4999942412796827,0.49998095601309744,0.5000079555951319,0.5000163918979911,0.499984692417345,0.4999937288859943,0.500019576267563,0.4999876712777117,0.4999948747263627,0.5000176173949451,0.49998135315452097,0.500010805071955,0.5000000302960111,0.499990654278512,0.5000153549966377,0.4999817123049794,0.5000192174566003,0.4999807602633823,0.5000191027211346,0.4999808879842152,0.5000191271095328,0.4999814321349314,0.5000164680656268,0.49998827830594783,0.5000037126789336,0.500006638344755,0.4999840915453075,0.5000185970339266,0.4999895468061524,0.4999941397586788,0.5000181015426677,0.49998732374255095,0.4999923113174717,0.5000184810528546,0.49999795081919873,0.4999820399216174,0.5000053668696255,0.500017846112174,0.49999767139536766,0.49998170984693424,0.49999298836729333,0.5000129427520991,0.5000173941696959,0.5000046946695526,0.4999889395048755,0.49998194065739227,0.49998560056723973,0.4999952017459972,0.5000052297296131,0.5000125169123619,0.5000164327097776,0.5000177900137844,0.5000177821177292,0.5000173938808103,0.5000172066310664,0.5000173837589649,0.5000176832828992,0.5000174520137837,0.5000156668639629,0.5000111895774781,0.5000034324902974,0.4999934405482387,0.4999848064670412,0.49998301386482263,0.49999177583132903,0.5000074168470151,0.5000172578764936,0.5000094130090893,0.49998993393675006,0.4999836923642851,0.5000023067710342,0.5000171870291897,0.5000000137190098,0.49998291134447714,0.500003660420692,0.5000153119170176,0.4999879767815296,0.4999938513855423,0.5000168035064484,0.499988768731435,0.4999972254486332,0.5000138838970948,0.49998328281219806,0.5000124099647106,0.4999951641230197,0.4999973628182737,0.5000083156353505,0.49998808728892663,0.500013845899394,0.4999853376940773,0.5000147213587698,0.4999859297566884,0.5000124346311313,0.4999906870028026,0.5000042352127445,0.5000027397983452,0.49998965117713406,0.5000156968539373,0.49998503692392215,0.5000060530347304,0.5000076085802473,0.4999839102527414,0.5000098546810381,0.5000074279071985,0.499983998702817,0.5000021879501798,0.5000152977803213,0.4999937768143769,0.49998523797091204,0.5000048561496837,0.5000158127553436,0.5000021067479172,0.49998594270878205,0.49998732207152535,0.5000018376158412,0.5000138692261478,0.5000147303986471,0.5000065099541778,0.4999958936897433,0.49998803954309584,0.4999846181603652,0.4999848044810711,0.4999869123265223,0.4999894495719818,0.49999146198508765,0.4999924713273061,0.49999230816470497,0.49999100706102306,0.499988823623688,0.4999863623220336,0.4999847270869546,0.4999854901736224,0.4999901645622323,0.4999989608735803,0.5000092274007751,0.5000151414358576,0.5000108728711093,0.49999720934911196,0.49998559248230334,0.49998988086976864,0.5000074079269837,0.5000145247616223,0.49999814952283433,0.49998499357556825,0.5000012870628772,0.5000146857124722,0.49999417141563796,0.4999884804452402,0.5000130492915635,0.500000582766218,0.49998706505208595,0.5000135623203382,0.4999954447960466,0.4999936908000274,0.500013193994895,0.49998537039453844,0.5000120948841474,0.49999215455641277,0.5000036214158833,0.49999965674930913,0.49999832625925295,0.5000023984045735,0.4999981460181143,0.5000000329255807,0.500003039814151,0.49999289974048367,0.5000113392858829,0.499985833942593,0.5000134127663981,0.49999255513099705,0.4999971895851366,0.5000122596555235,0.49998666953693566,0.5000027487131801,0.5000111664591216,0.4999875676352054,0.49999707402030763,0.500014192533611,0.49999812240009833,0.4999860602189357,0.5000017092131186,0.5000140981575888,0.500003374091356,0.4999880601861166,0.4999885283850547,0.5000017341963819,0.500012573133758,0.5000125602973627,0.5000041361752965,0.49999421967899743,0.4999878116848991,0.49998614600207403,0.4999879687408492,0.4999913619628836,0.499994816335093,0.4999974910647714,0.4999990493856999,0.4999994069981329,0.49999856001348014,0.4999965437748543,0.4999935282288099,0.4999900284153347,0.49998714027923286,0.4999865709356875,0.4999900862173067,0.4999981061803442,0.5000079316100434,0.5000134682489178,0.500008915864705,0.4999959093592181,0.49998667982272177,0.4999934299999837,0.5000094618442685,0.5000111123463922,0.499993689625202,0.49998813629890876,0.5000069901779447,0.5000100652071552,0.49998907816151017,0.49999647438265116,0.5000130915424679,0.49999176970527126,0.4999961229984278,0.5000121930304985,0.4999878708851592,0.5000058957222939,0.5000019933933494,0.4999917383222546,0.500011801727224,0.49998698446994155,0.5000128647999617,0.49998774679874325,0.5000117892767791,0.4999882368012834,0.5000121777570852,0.4999872487728218,0.5000128910730998,0.49998828248612265,0.5000082907912506,0.49999779616646184,0.4999944975866461,0.5000116898078013,0.49998801587993125,0.5000041417491977,0.500007597842328,0.4999873264681656,0.5000038822711126,0.5000101272181534,0.49999001622674577,0.49999389494039237,0.5000115451826118,0.500005336505087,0.49998912568542503,0.4999916752500272,0.5000068564808264,0.5000122939935954,0.5000029536553376,0.4999910466654823,0.49998765413424273,0.49999351055224944,0.5000027613037598,0.5000097953365037,0.500012416741988,0.5000113004181742,0.5000082219963615,0.5000047702688658,0.500001899783982,0.5000000138132848,0.4999992119001291,0.49999949542789984,0.5000008602369421,0.5000032640540962,0.5000064735444341,0.5000098272349358,0.5000120462250013,0.5000113825682231,0.500006477427413,0.4999979736794253,0.4999898825794254,0.4999884377655315,0.4999967938564134,0.5000087853302094,0.500011116345617,0.49999891680374475,0.49998804822806386,0.4999966737328326,0.5000113755327353,0.5000035199089494,0.4999881806427886,0.5000004422998976,0.5000112986696696,0.4999920939743498,0.4999956505843487,0.5000117039157401,0.49999113291894115,0.5000001013504204,0.5000079642413604,0.49998833699824746,0.5000109509999634,0.49999237346977693,0.5000035893857725,0.4999999459004692,0.4999975247405883,0.5000039242552209,0.49999563565329536,0.5000038379372448,0.49999769491943696,0.4999997065511898,0.5000038533497008,0.4999921764898901,0.5000109457298324,0.4999886693155809,0.500007310286184,0.500000811882233,0.49999086342911797,0.5000111625478998,0.49999668607921055,0.4999916311335587,0.5000104633998742,0.5000015993925611,0.4999885347621422,0.5000020657291813,0.5000112085913175,0.4999982928871847,0.49998857160880394,0.49999736099300973,0.5000096765974239,0.5000093781229039,0.49999882813760155,0.49998995094279103,0.49998960838937795,0.4999960997510178,0.5000040685202343,0.5000095018256402,0.5000112747772572,0.5000102455402388,0.5000078662263867,0.5000053310348259,0.5000033416191052,0.5000022081910068,0.500002028351189,0.500002809465129,0.5000044890508427,0.5000068490820541,0.5000093520873619,0.5000109943697815,0.5000103862505261,0.5000063496594849,0.4999991384121451,0.49999166550133717,0.4999890694441421,0.49999496690848555,0.500005905376699,0.5000109237743967,0.5000025453866697,0.49999037378613237,0.4999930960789379,0.5000078378702313,0.5000076666916469,0.4999915962015978,0.4999945722759269,0.5000105257554576,0.4999990540904988,0.4999905851880909,0.5000093963721421,0.49999905133484956,0.4999923595938676,0.5000108122839179,0.49999167879319,0.5000029022729688,0.5000026323832271,0.49999324974787335,0.500009165452371,0.49998972759316185,0.5000106332696949,0.4999893065325202,0.5000106756959554,0.4999894431524681,0.5000100712574411,0.49999125386118204,0.500006034892565,0.4999983587291791,0.49999605424506544,0.5000089473704896,0.49998952589607404,0.5000061860452268,0.5000027443356418,0.4999900286691508,0.5000078397557741,0.5000032335393795,0.49998949250198993,0.5000027199434101,0.5000095835720787,0.49999512000105006,0.49999064852613573,0.5000036379824042,0.5000103010450209,0.5000013005976828,0.49999085370257007,0.49999149740859833,0.500000671971183,0.5000087228448301,0.5000099680540186,0.5000052909547336,0.4999986202528626,0.499993219908219,0.4999903493753544,0.4999897156499619,0.49999040009960627,0.4999915097542325,0.49999242997792065,0.4999928317158336,0.4999926042568669,0.4999918156262113,0.49999073510450187,0.49998989713027847,0.4999901234671715,0.49999235002642434,0.49999708987174735,0.5000035567539254,0.500009009620134,0.5000095202914522,0.50000309224696,0.4999935727798938,0.4999901238299443,0.49999811767726055,0.5000088611540929,0.5000065809701844,0.49999332804167107,0.49999222146905703,0.5000066721189853,0.5000065186771407,0.49999117084395645,0.49999821732666305,0.5000097399792383,0.49999356582441246,0.49999709686949206,0.5000092866900077,0.4999910928464476,0.5000036686286914,0.5000026173190963,0.49999272685175483,0.5000095128897876,0.4999901855375951,0.50000907285386,0.4999919214865871,0.5000073463909827,0.49999286607131954,0.5000075003589572,0.4999916719389465,0.5000092875901458,0.4999902177266051,0.5000089718099872,0.4999939658111044,0.50000079458095,0.500005428180674,0.4999905046051874,0.5000078507127516,0.4999999606234844,0.4999917363995443,0.5000081920622306,0.500001846932277,0.49999037751763664,0.500002709326449,0.5000089126753546,0.4999961664510865,0.4999909319259659,0.5000017444040638,0.5000095783337778,0.5000036986857679,0.49999344854197697,0.4999907185979288,0.49999669777871425,0.5000048480677393,0.5000092598530788,0.5000084921938597,0.500004387012932,0.49999948144215156,0.49999544463793244,0.49999282332709,0.49999143975510074,0.49999085744527516,0.4999906794847676,0.4999906801302292,0.4999908435786988,0.49999136471047223,0.49999261595959377,0.4999950327679043,0.4999988447090716,0.500003635182384,0.5000079201807879,0.5000092739490304,0.5000056689479336,0.49999794766111044,0.4999913660744661,0.4999926454148657,0.5000020973689344,0.5000092320264692,0.5000034135255346,0.4999920730018114,0.4999945532384422,0.5000075219932554,0.5000046618761252,0.499991311542691,0.4999992929504053,0.5000088560711186,0.49999388179617843,0.4999971906202621,0.5000087469439989,0.4999921753653917,0.500002245517886,0.5000038841074234,0.49999213117034585,0.5000091365300482,0.4999915751098908,0.5000068013308179,0.49999488584444846,0.5000038625567533,0.4999967245973553,0.5000034255749118,0.4999957071222598,0.5000057477397116,0.49999253707343055,0.5000088019178123,0.49999119570910583,0.5000064664109768,0.4999985194492969,0.49999524063787376,0.500008809517638,0.49999308787845903,0.4999990308340451,0.5000082981893159,0.49999358307028896,0.4999960986937576,0.5000087297682602,0.5000006439202838,0.49999107879623267,0.4999995985258672,0.5000087851002075,0.5000032142630099,0.4999930024588007,0.4999923173478486,0.500000482487186,0.5000077580589092,0.5000080758962733,0.5000027209966452,0.499996270815371,0.4999921504474867,0.49999123044413585,0.4999926557778861,0.49999510966791133,0.4999975678565539,0.49999947983922977,0.5000006477435729,0.5000010419726791,0.5000006695589083,0.49999952820982224,0.49999764943082464,0.4999952263774694,0.49999279430803245,0.4999913514542261,0.4999921889555525,0.4999961647587726,0.5000024739648112,0.5000078168069023,0.5000077052965705,0.5000007454127071,0.49999267116105706,0.4999930058729309,0.5000027955943117,0.5000085559826488,0.499999999999998],"S":[0.49681690114783755,0.5001715827562954,0.5017807542392415,0.4992952185110351,0.49912590847650146,0.501061210343519,0.49981153698406805,0.49937666637818684,0.5008022202334148,0.49953165963821466,0.4999889004871724,0.5003726014979363,0.4994616326606645,0.5005487127020103,0.49952216409053496,0.5003866630084436,0.4996893358948838,0.5002647123339901,0.49974869135345534,0.5002660806526721,0.49970064468022396,0.5003349276764184,0.4996513956460819,0.5003106975703923,0.4998024709099293,0.5000138321103812,0.5001835405081032,0.49971191200012893,0.500204799833069,0.5000402163073724,0.4997540544201882,0.5001832436405931,0.5001038300272369,0.4997622632175341,0.49999717137795663,0.5002282335591962,0.4999877061872081,0.49978299667319465,0.49995183513754504,0.5001811244686853,0.5001537882847645,0.49995021430086484,0.499814757733014,0.49985114814948006,0.49999039098273723,0.5001187804555324,0.5001744311701039,0.5001584227202684,0.5001023374648248,0.5000377731857476,0.4999835391762845,0.49994613936990306,0.4999250627001728,0.499917667162061,0.4999220473216225,0.49993802039749924,0.49996663012159925,0.5000082683639904,0.500059436072197,0.5001089563617238,0.5001364398569875,0.5001180489391334,0.5000435785187409,0.4999392678343419,0.4998729783547955,0.4999114548247773,0.5000382175574912,0.5001231648557655,0.50004890705648,0.49990363888312545,0.4999163488225797,0.500078466969629,0.500082899507655,0.49991129201044693,0.49994932120574176,0.5001094117404956,0.4999763377921284,0.49991669591389903,0.5001015700388547,0.49996536789895296,0.49995017348691867,0.5000975380884516,0.49990362068616007,0.5000627921077401,0.49998090391150657,0.4999805089598641,0.5000469790385327,0.4999365244145913,0.5000714329926729,0.4999268657674578,0.5000695157018475,0.49994008272966267,0.500042534778918,0.49998430093891616,0.49998021429535766,0.5000575704305221,0.49991616142615053,0.5000804273208334,0.4999632738395629,0.4999673407049078,0.5000813866708297,0.49994003180393676,0.4999758907778985,0.5000813088295643,0.4999703217740982,0.49993304253652243,0.5000509426841289,0.5000587988391452,0.49995182574071545,0.4999329741374012,0.5000214644447767,0.5000757952371352,0.5000326932266026,0.49995656778298764,0.4999261429384296,0.4999562526481894,0.5000121622618442,0.5000559074967319,0.5000713625256824,0.5000624055376783,0.5000408943554594,0.5000174309796857,0.49999809035483245,0.4999850285442483,0.4999783039041071,0.4999774224519996,0.499982165422459,0.49999270262582646,0.5000090383494531,0.5000298161920599,0.5000507473688462,0.5000636449451226,0.5000580503571779,0.5000275397626194,0.49997974264710987,0.49994185698410315,0.49994764935708824,0.5000023500517348,0.5000563168878255,0.5000420159555895,0.49996888555475416,0.4999438433570919,0.5000158096796471,0.5000571397930953,0.4999799558588061,0.499949313240107,0.5000407553114827,0.5000247530204094,0.4999427719700703,0.5000279926381342,0.5000242927503915,0.499945697207885,0.5000481350532768,0.49998119409553393,0.4999857840315325,0.5000384990454844,0.49994910211104804,0.5000539995849173,0.499947889113309,0.5000489279540159,0.4999532139542176,0.5000466964292702,0.4999514779342699,0.5000509949657614,0.49994838980723805,0.5000467488472266,0.4999673329142413,0.500007972171503,0.5000227057182439,0.49995360161707947,0.5000458739332991,0.4999864197989855,0.49996825844606335,0.500048195912553,0.4999889368987281,0.4999588842241331,0.5000347514183522,0.5000275440255967,0.4999591486848999,0.49997463703155604,0.5000369468572211,0.5000358234259507,0.4999810109693509,0.4999536066545125,0.499981453541813,0.5000263148993505,0.5000456903696661,0.5000309842020039,0.4999995805191048,0.49997169584487616,0.49995733813336524,0.4999562588442842,0.49996332376708663,0.4999731153856603,0.49998193337318453,0.4999878924604748,0.49999028581449173,0.49998897472404497,0.49998411960346856,0.4999763224296953,0.4999671216983425,0.49995959452765687,0.4999584644506825,0.49996872170794293,0.49999195717598705,0.5000214216143506,0.5000404621152487,0.5000312694172173,0.4999944464664395,0.4999616868461274,0.4999725984849655,0.5000201119755565,0.5000383473803351,0.49999318613533184,0.49996052494401283,0.5000068044727661,0.5000376138766457,0.49998029824742296,0.4999737491450374,0.5000366743726848,0.499994432081907,0.4999709277513158,0.5000376639879099,0.49997988663563053,0.49999317620725475,0.5000278749925527,0.4999629315685566,0.50003602531872,0.4999706644122616,0.5000212413600285,0.49998555554577345,0.5000102455407519,0.49999089961791865,0.5000110625355267,0.4999840869478691,0.5000229482563691,0.49996949001135876,0.5000355407503912,0.4999662180102091,0.5000214911332347,0.5000009296685488,0.4999749445069337,0.5000351737976916,0.49998104963610734,0.49998466684757337,0.5000348191839482,0.49998729225861793,0.49997266770392707,0.5000259048086755,0.500019669995924,0.4999716886241172,0.49997911114262195,0.5000231330605148,0.5000294860544922,0.49999417916975364,0.4999675453880718,0.4999771386810405,0.5000071964646866,0.5000295512706736,0.5000311590425736,0.5000165630023992,0.4999969479934403,0.49998086321149954,0.49997146197399733,0.4999679697810643,0.4999680626274925,0.49996947752402976,0.49997066105012167,0.49997085395007806,0.49997001547910225,0.499968803183538,0.49996862125163766,0.49997155538093074,0.4999798341016909,0.49999443587516984,0.5000129340531152,0.5000279419239546,0.500029064857187,0.5000107486033477,0.4999826262807888,0.4999695920561907,0.49998949615095234,0.5000231909290703,0.5000246812556152,0.499987095800503,0.4999719536110333,0.5000107084513827,0.5000266749252038,0.4999822423244569,0.4999818787067197,0.5000281302843661,0.49999581409139227,0.4999771753821969,0.5000280853724985,0.4999877257994052,0.49999039944449647,0.5000246569971012,0.4999712583575413,0.5000242965078374,0.49998412889029314,0.5000071769022999,0.4999997551873545,0.499995785722573,0.5000061446513434,0.49999436577567863,0.5000026850766525,0.5000027276763385,0.4999896843187637,0.5000189030209296,0.4999741441765105,0.5000271296702743,0.49998113857130216,0.5000009482534034,0.5000191109987099,0.49997290583943876,0.5000126405139418,0.5000150307073262,0.4999734538701747,0.5000038206834556,0.500024934154826,0.49998666969289063,0.49997771343201786,0.500013883727402,0.5000240483907792,0.4999940832641743,0.4999737411210544,0.4999885939604423,0.5000158589197046,0.5000259665719619,0.5000136373252123,0.49999270929842227,0.4999777849270039,0.4999744313866848,0.4999803185927333,0.4999903257510866,0.5000002597990639,0.5000080024227436,0.5000130804851015,0.500015816162745,0.5000166530803619,0.5000157902081183,0.5000130733891791,0.5000081036482358,0.5000005911305658,0.49999099548763193,0.49998132515411564,0.4999755376418006,0.4999784681576981,0.49999236869137154,0.500012148707325,0.5000242451291756,0.5000155572464245,0.49999040237056247,0.4999757574170533,0.49999339333323267,0.5000213192257493,0.5000137245297815,0.49998078024494663,0.49998676822467075,0.5000215340135304,0.5000050395278354,0.4999764157590374,0.5000115675336586,0.5000126369989384,0.499976482938772,0.5000148735363049,0.5000029371119084,0.49998246274259567,0.5000231858892368,0.49997926595075626,0.5000138991338269,0.4999938157094454,0.4999996827500269,0.5000048055299828,0.49999279666760527,0.5000076424333594,0.4999938258328946,0.500002715912671,0.5000027744755124,0.49999010356419415,0.5000172526380615,0.49997793682121233,0.5000206332141125,0.49998954471660556,0.49999375526876916,0.5000202325306699,0.49998071535568045,0.5000004260392713,0.5000197021529265,0.4999837700849072,0.49999006824275605,0.500021027638527,0.5000040714799002,0.49997854941569314,0.4999944655915303,0.5000197640794942,0.5000135879029399,0.49998874204305443,0.49997862534829274,0.4999916277478331,0.5000114422220885,0.500021181736501,0.5000168713772729,0.5000044974244062,0.49999175674673507,0.4999831221711007,0.49997936312130364,0.49997914802679627,0.4999806449754558,0.49998237565231896,0.49998343730706213,0.499983436284233,0.4999823948196211,0.4999807500121761,0.49997943911693876,0.49997994205173557,0.4999840179738793,0.49999281543634316,0.5000053042050644,0.5000168538726584,0.5000200276981859,0.5000096815354325,0.49999071247995125,0.49997975342699985,0.4999909993682281,0.5000140812603385,0.5000174132934531,0.49999285079648087,0.4999808204747818,0.5000060405258756,0.500018276407998,0.49998873970742835,0.4999873766501179,0.5000187760277475,0.499997384037065,0.4999846280834814,0.5000189804277627,0.4999913746669507,0.49999405693883525,0.5000162647755086,0.4999805174182887,0.500017044659682,0.49998815139022473,0.5000063276883797,0.4999981307606681,0.49999901323625345,0.5000021388774346,0.49999839432299564,0.49999939128426546,0.5000044532645844,0.4999904192359773,0.5000149663551444,0.4999813984377145,0.5000177244782996,0.49998982263202113,0.4999969583991207,0.5000156296248318,0.49998217654594046,0.50000477761439,0.5000137217839347,0.4999830190621123,0.4999978972049871,0.5000184468030923,0.49999547877598144,0.4999823157053427,0.5000046470356562,0.5000182539497491,0.500001630659731,0.49998307089498967,0.49998708409161496,0.5000055104744799,0.5000175919991102,0.5000144148726378,0.5000016114560194,0.4999890448533328,0.49998259406536966,0.4999827582135352,0.49998709247710355,0.49999279585599987,0.4999979717473087,0.5000017514954579,0.5000039250002302,0.5000045358556563,0.5000036255444645,0.500001160466989,0.49999713890295155,0.4999918741518575,0.4999863984343424,0.4999827615487326,0.49998373148925784,0.4999913051912852,0.5000040834080395,0.5000153731401815,0.5000157396188586,0.5000019217556373,0.4999854496645081,0.499985936280539,0.5000056549888755,0.5000170706735351,0.49999960830841117,0.4999828427112134,0.500001087630554,0.5000166926835152,0.4999924876293009,0.4999879506966074,0.5000158365963574,0.49999773905284545,0.49998734292887076,0.5000166590651886,0.4999904424743737,0.4999981192174014,0.500011309012474,0.49998395565624515,0.5000165155681213,0.49998552632450965,0.5000116468453165,0.4999907921993972,0.5000077747221056,0.49999240696173813,0.5000086804420462,0.4999891530196981,0.5000135833098885,0.4999841170430242,0.5000161762748444,0.49998730909437744,0.5000045552885481,0.5000064991264359,0.4999848841412442,0.5000143610485895,0.49999793658911645,0.49998715337013644,0.500014352539165,0.500002037578028,0.4999840489617906,0.5000049229658732,0.5000147841112541,0.4999938011185984,0.4999847746135644,0.5000020994188407,0.5000157820732257,0.5000074142700401,0.49999046476397324,0.49998427261522044,0.4999924201604411,0.5000056490466639,0.5000143390667885,0.5000151731171194,0.5000101555201214,0.5000029483668748,0.4999963255402339,0.4999915009022193,0.4999885400034119,0.49998700495109466,0.49998642727963694,0.4999865511838147,0.49998741818697745,0.4999893506723201,0.49999282487037716,0.49999816680644993,0.500005024505133,0.5000117561729667,0.5000152653474472,0.5000121711663061,0.5000017874903071,0.49998935015396284,0.49998506562732126,0.49999526337424266,0.5000112609338054,0.5000131729085171,0.49999592128911236,0.4999850538909148,0.5000009097676499,0.5000149525265295,0.49999703644634064,0.499986226740062,0.500009497434502,0.500007200536086,0.4999851330426902,0.5000073000970334,0.5000059924906747,0.49998591658153146,0.5000133617554001,0.49999340342450665,0.49999831816463086,0.5000083563815754,0.49998759719681396,0.5000141962944717,0.4999853779535457,0.5000145050673966,0.49998562202954294,0.5000144334598096,0.49998547250277925,0.5000141809601452,0.4999873817265458,0.5000089639868205,0.4999972510445235,0.49999474294682666,0.5000123053355021,0.4999859194878939,0.5000074280161412,0.5000052050035033,0.4999859800144408,0.5000088741806619,0.500006943054655,0.49998608811760187,0.5000000961233542,0.5000140445919217,0.4999975915996258,0.49998598066856903,0.4999997689167767,0.5000136666940358,0.5000074134068688,0.49999192053883684,0.49998609930878224,0.49999387488138347,0.5000060997461933,0.5000133127869398,0.5000126609417531,0.500006673295527,0.4999992692552694,0.4999931371736485,0.49998920096293703,0.4999872034083124,0.4999864456807848,0.499986270296634,0.4999862721538098,0.4999863569902034,0.49998674622667644,0.49998795301954674,0.4999906731869742,0.49999547664855754,0.5000022152489624,0.5000092941243003,0.5000134349085879,0.5000109815802456,0.5000012396574176,0.49998985773833016,0.499987152623183,0.4999980521053482,0.5000117257045862,0.5000095167649715,0.4999925132149554,0.4999882034393818,0.5000061382678676,0.5000113583352404,0.49999128121826186,0.499992417605055,0.5000127986534806,0.49999792496531886,0.49998963574720795,0.5000126328165745,0.499994958634029,0.49999485815706024,0.5000117586340902,0.4999870182876342,0.5000101842530248,0.499994327980558,0.5000012365918375,0.5000022165451964,0.49999555471929924,0.5000055138057302,0.49999447675731395,0.5000044803503921,0.49999770390492765,0.4999989123906691,0.5000054370580238,0.4999901194216177,0.5000126889603982,0.4999883769275166,0.5000053130720272,0.5000045575622535,0.4999878860094351,0.5000102805719084,0.5000015217176116,0.49998785995005646,0.5000077079978322,0.5000078626396443,0.4999888756917633,0.49999477908128914,0.5000114717162302,0.5000064311146131,0.4999905215012779,0.4999894327126955,0.5000026597241778,0.5000122078610427,0.50000878267039,0.49999789746831175,0.4999893101152805,0.4999878217707319,0.4999922841131689,0.4999990729319017,0.5000051854444895,0.5000093028134087,0.5000114431328222,0.5000122331791598,0.5000123620650722,0.5000123191971312,0.5000123164067363,0.5000122790500846,0.5000118502950027,0.5000104281861546,0.5000073247137351,0.5000021652701763,0.4999955488387858,0.499989656103586,0.499987982236618,0.499993236011168,0.5000037431777491,0.5000117047832027,0.5000083477955228,0.49999521641063,0.4999879637035131,0.49999832892393353,0.5000115830309255,0.5000039272033132,0.49998850945537837,0.499997920683788,0.5000119760256592,0.4999960550530931,0.49999103781958204,0.5000111136638964,0.4999977514545776,0.4999920614384635,0.500011884675749,0.4999912001044213,0.500002110641203,0.5000044911826014,0.49999096963753487,0.5000112448024303,0.49998821247382713,0.5000115083785192,0.4999889188249638,0.5000108981086077,0.49998892244895665,0.5000114784856404,0.49998831190513016,0.5000110217749009,0.49999135406648226,0.500003972860064,0.5000026158810946,0.49999097652734686,0.5000115689998049,0.49999288220488836,0.49999697048917524,0.500011065272732,0.49999206099741494,0.4999951804839831,0.5000113929197079,0.4999992566196968,0.4999887134558379,0.5000023814318255,0.5000113155341853,0.499999975158878,0.49998889599375473,0.4999939764866045,0.5000064519270155,0.5000113076055903,0.5000052831483206,0.49999546447611487,0.4999893695117559,0.49998944867943407,0.49999389558755974,0.49999969247632586,0.5000046810271052,0.5000080420660883,0.50000988953684,0.5000107111280756,0.5000109859758488,0.5000110058132813,0.500010817793997,0.5000102197391891,0.5000087956158914,0.5000060407473697,0.500001660307801,0.49999607056699275,0.49999090717043554,0.4999889573692945,0.4999927265088208,0.5000016053702316,0.5000098188685348,0.5000093036463532,0.49999866105580765,0.499989307286699,0.4999947234682585,0.5000085167772916,0.5000076460720503,0.4999922017545429,0.49999302402090146,0.5000094618386147,0.5000028097436032,0.49998916061870396,0.5000054267967868,0.5000054313899606,0.49998920203910413,0.5000076697686657,0.4999999551249613,0.4999931172347953,0.5000103875064575,0.4999895547298831,0.5000083772263824,0.4999943919606533,0.5000031058255225,0.49999865240520464,0.5000004971876522,0.49999941431790335,0.5000016073571864,0.49999649021816844,0.5000060805478613,0.49999123824628183,0.5000104983698661,0.49999014795101393,0.500005683286653,0.5000015403524194,0.4999914245846167,0.5000101980341506,0.499996560346367,0.4999929625813575,0.500010013022723,0.49999980189797594,0.4999898619524361,0.5000042503608737,0.5000092644118371,0.499995317274545,0.4999902082537448,0.5000016546516203,0.500010339003413,0.5000049668788601,0.4999940192287684,0.49998963891297094,0.4999943913843321,0.5000028150214008,0.5000088901646511,0.5000102405680684,0.5000077812542986,0.5000036233338994,0.4999995083688471,0.49999631234112124,0.4999942189185158,0.49999307547109484,0.4999926774260686,0.49999292481013086,0.4999938743832779,0.49999570796398163,0.49999860519925976,0.500002494394017,0.5000067082882674,0.5000097370719451,0.5000095071534986,0.5000046498512929,0.49999654787300685,0.4999903692811693,0.49999220487147145,0.5000020726174347,0.5000099021950307,0.5000047790703358,0.499992396436034,0.49999249180855454,0.5000063362336747,0.500007476796122,0.49999240437199155,0.49999530952090787,0.5000098257491407,0.49999784928924423,0.4999923931335551,0.5000095187152928,0.49999645551664323,0.4999956135159253,0.5000092137520918,0.4999904461566821,0.5000067083969691,0.4999973200802047,0.499998937029472,0.5000038618912304,0.49999436559080684,0.5000065435700753,0.4999932417153944,0.5000063318477775,0.4999948258179309,0.5000031066470347,0.49999998323165057,0.49999612920092346,0.5000076713144577,0.4999902833176783,0.5000080849013893,0.4999978894360388,0.49999427546847447,0.5000097051568347,0.49999493118252814,0.4999948367437436,0.500009494616621,0.4999991298002431,0.4999907371614343,0.5000036737936054,0.5000088334055747,0.4999967924327028,0.4999905517460441,0.4999993977945675,0.5000088443325444,0.5000069840488806,0.4999976868114663,0.49999103406446815,0.4999917788701172,0.49999773182903956,0.5000043094697415,0.5000084405612563,0.5000094879284217,0.5000083270494836,0.5000061958442455,0.5000040519158775,0.5000024316356715,0.5000015592128453,0.5000014992696623,0.5000022523331435,0.5000037617471448,0.5000058310770948,0.5000079786775954,0.5000093169630834,0.500008644904927,0.500005002871799,0.4999987503847537,0.49999256757135285,0.4999908908406252,0.4999964707315789,0.500005720368866,0.5000090678735432,0.5000010992379674,0.4999913628458004,0.4999951802654239,0.5000074976716428,0.5000053960776252,0.4999920136814281,0.49999686280223954,0.5000092004834219,0.49999744326036566,0.499993118635574,0.5000087585524366,0.49999718652097536,0.4999952020629549,0.5000088895298851,0.4999917053416481,0.500004668114243,0.4999997627709703,0.4999964819129383,0.500006076299895,0.4999924601522754,0.5000082407203034,0.49999151907836903,0.5000084110498823,0.4999920076222316,0.5000070069618491,0.4999948749222725,0.5000020775340839,0.5000020256151609,0.4999937044880135,0.5000088930160184,0.499992354308963,0.5000018252133683,0.500005743952872,0.4999910745825727,0.5000034021871002,0.5000062522653466,0.4999919451180011,0.4999980695897958,0.500008908155952,0.5000001305783924,0.49999109610711173,0.49999855135372107,0.5000082934705365,0.5000054758232931,0.49999555425309405,0.4999911460120591,0.49999572483876165,0.5000036171069793,0.5000084106668675,0.5000080047729999,0.500004025952493,0.49999912838889593,0.49999514523411137,0.499992690210593,0.4999915575152521,0.49999123853407546,0.49999125598826843,0.49999130313027423,0.4999912754740594,0.4999912714284796,0.49999158984382147,0.49999269833889026,0.49999509836537215,0.49999900128497776,0.5000038248634774,0.5000077961915359,0.5000083196945388,0.5000037528586568,0.499996042238249,0.49999137855334735,0.4999954149085407,0.5000050663144797,0.5000081621607989,0.49999895947856937,0.49999138958325623],"x":[100.0,136.9049049049049,173.80980980980982,210.71471471471472,247.6196196196196,284.5245245245245,321.42942942942943,358.33433433433436,395.2392392392392,432.14414414414415,469.0490490490491,505.95395395395394,542.8588588588589,579.7637637637638,616.6686686686687,653.5735735735735,690.4784784784785,727.3833833833834,764.2882882882883,801.1931931931932,838.0980980980981,875.003003003003,911.9079079079079,948.8128128128128,985.7177177177177,1022.6226226226227,1059.5275275275276,1096.4324324324325,1133.3373373373374,1170.2422422422424,1207.147147147147,1244.052052052052,1280.956956956957,1317.8618618618618,1354.7667667667668,1391.6716716716717,1428.5765765765766,1465.4814814814815,1502.3863863863864,1539.2912912912914,1576.1961961961963,1613.101101101101,1650.006006006006,1686.9109109109108,1723.8158158158158,1760.7207207207207,1797.6256256256256,1834.5305305305305,1871.4354354354355,1908.3403403403404,1945.2452452452453,1982.1501501501502,2019.0550550550552,2055.95995995996,2092.864864864865,2129.76976976977,2166.674674674675,2203.57957957958,2240.4844844844847,2277.389389389389,2314.294294294294,2351.199199199199,2388.104104104104,2425.009009009009,2461.913913913914,2498.8188188188187,2535.7237237237237,2572.6286286286286,2609.5335335335335,2646.4384384384384,2683.3433433433433,2720.2482482482483,2757.153153153153,2794.058058058058,2830.962962962963,2867.867867867868,2904.772772772773,2941.677677677678,2978.5825825825827,3015.4874874874877,3052.3923923923926,3089.2972972972975,3126.202202202202,3163.107107107107,3200.012012012012,3236.9169169169168,3273.8218218218217,3310.7267267267266,3347.6316316316315,3384.5365365365365,3421.4414414414414,3458.3463463463463,3495.2512512512512,3532.156156156156,3569.061061061061,3605.965965965966,3642.870870870871,3679.775775775776,3716.680680680681,3753.5855855855857,3790.4904904904906,3827.3953953953956,3864.3003003003005,3901.2052052052054,3938.1101101101103,3975.015015015015,4011.9199199199197,4048.8248248248246,4085.7297297297296,4122.6346346346345,4159.53953953954,4196.444444444444,4233.34934934935,4270.254254254254,4307.15915915916,4344.064064064064,4380.968968968969,4417.873873873874,4454.778778778778,4491.683683683684,4528.588588588588,4565.493493493494,4602.398398398398,4639.303303303303,4676.208208208208,4713.113113113113,4750.018018018018,4786.922922922923,4823.827827827828,4860.732732732733,4897.637637637637,4934.542542542543,4971.447447447447,5008.352352352353,5045.257257257257,5082.1621621621625,5119.067067067067,5155.971971971972,5192.876876876877,5229.781781781782,5266.686686686687,5303.591591591591,5340.496496496497,5377.401401401401,5414.306306306306,5451.211211211211,5488.116116116116,5525.021021021021,5561.925925925926,5598.830830830831,5635.735735735736,5672.64064064064,5709.545545545546,5746.45045045045,5783.355355355356,5820.26026026026,5857.1651651651655,5894.07007007007,5930.974974974975,5967.87987987988,6004.784784784785,6041.68968968969,6078.594594594595,6115.4994994994995,6152.404404404404,6189.309309309309,6226.214214214214,6263.119119119119,6300.024024024024,6336.928928928929,6373.8338338338335,6410.738738738739,6447.643643643643,6484.548548548549,6521.453453453453,6558.358358358359,6595.263263263263,6632.168168168168,6669.073073073073,6705.977977977978,6742.882882882883,6779.787787787788,6816.692692692693,6853.597597597598,6890.5025025025025,6927.407407407408,6964.312312312312,7001.217217217217,7038.122122122122,7075.027027027027,7111.931931931932,7148.8368368368365,7185.741741741742,7222.646646646646,7259.551551551552,7296.456456456456,7333.361361361362,7370.266266266266,7407.171171171171,7444.076076076076,7480.980980980981,7517.885885885886,7554.790790790791,7591.695695695696,7628.600600600601,7665.505505505505,7702.410410410411,7739.315315315315,7776.220220220221,7813.125125125125,7850.03003003003,7886.934934934935,7923.839839839839,7960.744744744745,7997.649649649649,8034.554554554555,8071.459459459459,8108.3643643643645,8145.269269269269,8182.174174174174,8219.07907907908,8255.983983983984,8292.888888888889,8329.793793793793,8366.6986986987,8403.603603603604,8440.508508508508,8477.413413413413,8514.31831831832,8551.223223223224,8588.128128128128,8625.033033033033,8661.937937937939,8698.842842842843,8735.747747747748,8772.652652652652,8809.557557557557,8846.462462462463,8883.367367367367,8920.272272272272,8957.177177177176,8994.082082082083,9030.986986986987,9067.891891891892,9104.796796796796,9141.701701701702,9178.606606606607,9215.511511511511,9252.416416416416,9289.321321321322,9326.226226226227,9363.131131131131,9400.036036036036,9436.940940940942,9473.845845845846,9510.75075075075,9547.655655655655,9584.56056056056,9621.465465465466,9658.37037037037,9695.275275275275,9732.18018018018,9769.085085085086,9805.98998998999,9842.894894894895,9879.799799799799,9916.704704704705,9953.60960960961,9990.514514514514,10027.419419419419,10064.324324324325,10101.22922922923,10138.134134134134,10175.039039039038,10211.943943943945,10248.84884884885,10285.753753753754,10322.658658658658,10359.563563563564,10396.468468468469,10433.373373373373,10470.278278278278,10507.183183183182,10544.088088088089,10580.992992992993,10617.897897897898,10654.802802802802,10691.707707707708,10728.612612612613,10765.517517517517,10802.422422422422,10839.327327327328,10876.232232232232,10913.137137137137,10950.042042042041,10986.946946946948,11023.851851851852,11060.756756756757,11097.661661661661,11134.566566566567,11171.471471471472,11208.376376376376,11245.28128128128,11282.186186186185,11319.091091091092,11355.995995995996,11392.9009009009,11429.805805805805,11466.710710710711,11503.615615615616,11540.52052052052,11577.425425425425,11614.330330330331,11651.235235235235,11688.14014014014,11725.045045045044,11761.94994994995,11798.854854854855,11835.75975975976,11872.664664664664,11909.56956956957,11946.474474474475,11983.37937937938,12020.284284284284,12057.18918918919,12094.094094094095,12130.998998998999,12167.903903903903,12204.808808808808,12241.713713713714,12278.618618618619,12315.523523523523,12352.428428428428,12389.333333333334,12426.238238238238,12463.143143143143,12500.048048048047,12536.952952952954,12573.857857857858,12610.762762762763,12647.667667667667,12684.572572572573,12721.477477477478,12758.382382382382,12795.287287287287,12832.192192192193,12869.097097097098,12906.002002002002,12942.906906906906,12979.811811811811,13016.716716716717,13053.621621621622,13090.526526526526,13127.43143143143,13164.336336336337,13201.241241241241,13238.146146146146,13275.05105105105,13311.955955955957,13348.860860860861,13385.765765765766,13422.67067067067,13459.575575575576,13496.48048048048,13533.385385385385,13570.29029029029,13607.195195195196,13644.1001001001,13681.005005005005,13717.90990990991,13754.814814814816,13791.71971971972,13828.624624624625,13865.52952952953,13902.434434434434,13939.33933933934,13976.244244244244,14013.149149149149,14050.054054054053,14086.95895895896,14123.863863863864,14160.768768768768,14197.673673673673,14234.57857857858,14271.483483483484,14308.388388388388,14345.293293293293,14382.198198198199,14419.103103103103,14456.008008008008,14492.912912912912,14529.817817817819,14566.722722722723,14603.627627627628,14640.532532532532,14677.437437437437,14714.342342342343,14751.247247247247,14788.152152152152,14825.057057057056,14861.961961961963,14898.866866866867,14935.771771771771,14972.676676676676,15009.581581581582,15046.486486486487,15083.391391391391,15120.296296296296,15157.201201201202,15194.106106106106,15231.01101101101,15267.915915915915,15304.820820820822,15341.725725725726,15378.63063063063,15415.535535535535,15452.440440440441,15489.345345345346,15526.25025025025,15563.155155155155,15600.06006006006,15636.964964964965,15673.86986986987,15710.774774774774,15747.679679679679,15784.584584584585,15821.48948948949,15858.394394394394,15895.299299299299,15932.204204204205,15969.10910910911,16006.014014014014,16042.918918918918,16079.823823823825,16116.728728728729,16153.633633633634,16190.538538538538,16227.443443443444,16264.348348348349,16301.253253253253,16338.158158158158,16375.063063063064,16411.96796796797,16448.87287287287,16485.777777777777,16522.682682682684,16559.587587587586,16596.492492492493,16633.3973973974,16670.3023023023,16707.207207207208,16744.11211211211,16781.017017017017,16817.921921921923,16854.826826826826,16891.731731731732,16928.63663663664,16965.54154154154,17002.446446446447,17039.35135135135,17076.256256256256,17113.161161161162,17150.066066066065,17186.97097097097,17223.875875875878,17260.78078078078,17297.685685685687,17334.59059059059,17371.495495495496,17408.400400400402,17445.305305305305,17482.21021021021,17519.115115115113,17556.02002002002,17592.924924924926,17629.82982982983,17666.734734734735,17703.63963963964,17740.544544544544,17777.44944944945,17814.354354354353,17851.25925925926,17888.164164164165,17925.069069069068,17961.973973973974,17998.87887887888,18035.783783783783,18072.68868868869,18109.593593593592,18146.4984984985,18183.403403403405,18220.308308308307,18257.213213213214,18294.118118118116,18331.023023023023,18367.92792792793,18404.83283283283,18441.737737737738,18478.642642642644,18515.547547547547,18552.452452452453,18589.357357357356,18626.262262262262,18663.16716716717,18700.07207207207,18736.976976976977,18773.881881881884,18810.786786786786,18847.691691691693,18884.596596596595,18921.5015015015,18958.406406406408,18995.31131131131,19032.216216216217,19069.12112112112,19106.026026026026,19142.930930930932,19179.835835835835,19216.74074074074,19253.645645645647,19290.55055055055,19327.455455455456,19364.36036036036,19401.265265265265,19438.17017017017,19475.075075075074,19511.97997997998,19548.884884884887,19585.78978978979,19622.694694694695,19659.599599599598,19696.504504504504,19733.40940940941,19770.314314314313,19807.21921921922,19844.124124124122,19881.02902902903,19917.933933933935,19954.838838838838,19991.743743743744,20028.64864864865,20065.553553553553,20102.45845845846,20139.36336336336,20176.268268268268,20213.173173173174,20250.078078078077,20286.982982982983,20323.88788788789,20360.792792792792,20397.6976976977,20434.6026026026,20471.507507507507,20508.412412412414,20545.317317317316,20582.222222222223,20619.12712712713,20656.03203203203,20692.936936936938,20729.84184184184,20766.746746746747,20803.651651651653,20840.556556556556,20877.461461461462,20914.366366366365,20951.27127127127,20988.176176176177,21025.08108108108,21061.985985985986,21098.890890890892,21135.795795795795,21172.7007007007,21209.605605605604,21246.51051051051,21283.415415415417,21320.32032032032,21357.225225225226,21394.130130130132,21431.035035035035,21467.93993993994,21504.844844844843,21541.74974974975,21578.654654654656,21615.55955955956,21652.464464464465,21689.369369369368,21726.274274274274,21763.17917917918,21800.084084084083,21836.98898898899,21873.893893893895,21910.798798798798,21947.703703703704,21984.608608608607,22021.513513513513,22058.41841841842,22095.323323323322,22132.22822822823,22169.133133133135,22206.038038038037,22242.942942942944,22279.847847847846,22316.752752752753,22353.65765765766,22390.56256256256,22427.467467467468,22464.37237237237,22501.277277277277,22538.182182182183,22575.087087087086,22611.991991991992,22648.8968968969,22685.8018018018,22722.706706706707,22759.61161161161,22796.516516516516,22833.421421421423,22870.326326326325,22907.23123123123,22944.136136136138,22981.04104104104,23017.945945945947,23054.85085085085,23091.755755755756,23128.660660660662,23165.565565565565,23202.47047047047,23239.375375375377,23276.28028028028,23313.185185185186,23350.09009009009,23386.994994994995,23423.8998998999,23460.804804804804,23497.70970970971,23534.614614614613,23571.51951951952,23608.424424424426,23645.329329329328,23682.234234234234,23719.13913913914,23756.044044044043,23792.94894894895,23829.853853853852,23866.75875875876,23903.663663663665,23940.568568568568,23977.473473473474,24014.37837837838,24051.283283283283,24088.18818818819,24125.09309309309,24161.997997997998,24198.902902902904,24235.807807807807,24272.712712712713,24309.617617617616,24346.522522522522,24383.42742742743,24420.33233233233,24457.237237237237,24494.142142142144,24531.047047047046,24567.951951951953,24604.856856856855,24641.76176176176,24678.666666666668,24715.57157157157,24752.476476476477,24789.381381381383,24826.286286286286,24863.191191191192,24900.096096096095,24937.001001001,24973.905905905907,25010.81081081081,25047.715715715716,25084.62062062062,25121.525525525525,25158.43043043043,25195.335335335334,25232.24024024024,25269.145145145147,25306.05005005005,25342.954954954956,25379.85985985986,25416.764764764765,25453.66966966967,25490.574574574573,25527.47947947948,25564.384384384386,25601.28928928929,25638.194194194195,25675.099099099098,25712.004004004004,25748.90890890891,25785.813813813813,25822.71871871872,25859.623623623622,25896.528528528528,25933.433433433434,25970.338338338337,26007.243243243243,26044.14814814815,26081.053053053052,26117.95795795796,26154.86286286286,26191.767767767768,26228.672672672674,26265.577577577576,26302.482482482483,26339.38738738739,26376.29229229229,26413.197197197198,26450.1021021021,26487.007007007007,26523.911911911913,26560.816816816816,26597.721721721722,26634.62662662663,26671.53153153153,26708.436436436437,26745.34134134134,26782.246246246246,26819.151151151153,26856.056056056055,26892.96096096096,26929.865865865864,26966.77077077077,27003.675675675677,27040.58058058058,27077.485485485486,27114.390390390392,27151.295295295295,27188.2002002002,27225.105105105104,27262.01001001001,27298.914914914916,27335.81981981982,27372.724724724725,27409.62962962963,27446.534534534534,27483.43943943944,27520.344344344343,27557.24924924925,27594.154154154156,27631.05905905906,27667.963963963964,27704.868868868867,27741.773773773773,27778.67867867868,27815.583583583582,27852.48848848849,27889.393393393395,27926.298298298298,27963.203203203204,28000.108108108107,28037.013013013013,28073.91791791792,28110.82282282282,28147.727727727728,28184.632632632634,28221.537537537537,28258.442442442443,28295.347347347346,28332.252252252252,28369.15715715716,28406.06206206206,28442.966966966967,28479.87187187187,28516.776776776776,28553.681681681683,28590.586586586585,28627.49149149149,28664.396396396398,28701.3013013013,28738.206206206207,28775.11111111111,28812.016016016016,28848.920920920922,28885.825825825825,28922.73073073073,28959.635635635637,28996.54054054054,29033.445445445446,29070.35035035035,29107.255255255255,29144.16016016016,29181.065065065064,29217.96996996997,29254.874874874873,29291.77977977978,29328.684684684686,29365.58958958959,29402.494494494495,29439.3993993994,29476.304304304304,29513.20920920921,29550.114114114112,29587.01901901902,29623.923923923925,29660.828828828828,29697.733733733734,29734.63863863864,29771.543543543543,29808.44844844845,29845.353353353352,29882.258258258258,29919.163163163164,29956.068068068067,29992.972972972973,30029.87787787788,30066.782782782782,30103.68768768769,30140.59259259259,30177.497497497498,30214.402402402404,30251.307307307306,30288.212212212213,30325.117117117115,30362.02202202202,30398.926926926928,30435.83183183183,30472.736736736737,30509.641641641643,30546.546546546546,30583.451451451452,30620.356356356355,30657.26126126126,30694.166166166167,30731.07107107107,30767.975975975976,30804.880880880883,30841.785785785785,30878.69069069069,30915.595595595594,30952.5005005005,30989.405405405407,31026.31031031031,31063.215215215216,31100.12012012012,31137.025025025025,31173.92992992993,31210.834834834834,31247.73973973974,31284.644644644646,31321.54954954955,31358.454454454455,31395.359359359358,31432.264264264264,31469.16916916917,31506.074074074073,31542.97897897898,31579.883883883886,31616.78878878879,31653.693693693695,31690.598598598597,31727.503503503503,31764.40840840841,31801.313313313312,31838.21821821822,31875.12312312312,31912.028028028028,31948.932932932934,31985.837837837837,32022.742742742743,32059.64764764765,32096.55255255255,32133.457457457458,32170.36236236236,32207.267267267267,32244.172172172173,32281.077077077076,32317.981981981982,32354.88688688689,32391.79179179179,32428.696696696697,32465.6016016016,32502.506506506506,32539.411411411413,32576.316316316315,32613.22122122122,32650.126126126128,32687.03103103103,32723.935935935937,32760.84084084084,32797.74574574574,32834.65065065065,32871.555555555555,32908.46046046046,32945.36536536537,32982.27027027027,33019.17517517517,33056.08008008008,33092.984984984985,33129.88988988989,33166.7947947948,33203.6996996997,33240.6046046046,33277.50950950951,33314.414414414416,33351.31931931932,33388.22422422422,33425.12912912913,33462.03403403403,33498.93893893894,33535.843843843846,33572.748748748745,33609.65365365365,33646.55855855856,33683.463463463464,33720.36836836837,33757.27327327328,33794.178178178176,33831.08308308308,33867.98798798799,33904.892892892894,33941.7977977978,33978.7027027027,34015.607607607606,34052.51251251251,34089.41741741742,34126.322322322325,34163.227227227224,34200.13213213213,34237.03703703704,34273.94194194194,34310.84684684685,34347.751751751755,34384.656656656654,34421.56156156156,34458.46646646647,34495.37137137137,34532.27627627628,34569.18118118118,34606.086086086085,34642.99099099099,34679.8958958959,34716.800800800804,34753.7057057057,34790.61061061061,34827.515515515515,34864.42042042042,34901.32532532533,34938.23023023023,34975.13513513513,35012.04004004004,35048.944944944946,35085.84984984985,35122.75475475476,35159.65965965966,35196.56456456456,35233.46946946947,35270.374374374376,35307.27927927928,35344.18418418418,35381.08908908909,35417.993993993994,35454.8988988989,35491.80380380381,35528.708708708706,35565.61361361361,35602.51851851852,35639.423423423425,35676.32832832833,35713.23323323323,35750.138138138136,35787.04304304304,35823.94794794795,35860.852852852855,35897.75775775776,35934.66266266266,35971.56756756757,36008.47247247247,36045.37737737738,36082.282282282285,36119.187187187184,36156.09209209209,36192.996996997,36229.9019019019,36266.80680680681,36303.71171171171,36340.616616616615,36377.52152152152,36414.42642642643,36451.331331331334,36488.23623623623,36525.14114114114,36562.046046046045,36598.95095095095,36635.85585585586,36672.760760760764,36709.66566566566,36746.57057057057,36783.475475475476,36820.38038038038,36857.28528528529,36894.19019019019,36931.095095095094,36968.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..e9f54240e325 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/runner.jl @@ -0,0 +1,139 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + fresnel( x ) + +Evaluate the Fresnel integrals `S(x)` and `C(x)` in extended precision. + +Below `x = 10`, sum the power series; from there on, use the asymptotic expansions of the auxiliary functions `f` and `g` (Abramowitz and Stegun 7.3.27 and 7.3.28), whose terms shrink far below the working precision before they start to grow. + +# Arguments + +* `x`: input value + +# Examples + +``` julia +julia> S, C = fresnel( BigFloat( 1.0 ) ); +``` +""" +function fresnel( x ) + if x < 10 + a = BigFloat( pi ) / 2 * x^2; + S = zero( BigFloat ); + C = zero( BigFloat ); + t = one( BigFloat ); + k = 0; + while k < 10 || abs( t ) > eps( BigFloat ) + if iseven( k ) + C += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + else + S += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + end + k += 1; + t *= a / k; + end + return x * S, x * C; + end + w = BigFloat( pi ) * x^2; + f = one( BigFloat ); + g = one( BigFloat ); + tf = one( BigFloat ); + tg = one( BigFloat ); + for m in 1:60 + tf *= -( 4*m - 3 ) * ( 4*m - 1 ) / w^2; + tg *= -( 4*m - 1 ) * ( 4*m + 1 ) / w^2; + f += tf; + g += tg; + end + f /= BigFloat( pi ) * x; + g /= BigFloat( pi )^2 * x^3; + s, c = sincos( BigFloat( pi ) / 2 * x^2 ); + return 0.5 - ( f * c ) - ( g * s ), 0.5 + ( f * s ) - ( g * c ); +end + +""" + gen( domain, name ) + +Generate fixture data and write to file. + +# Arguments + +* `domain`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( 100.0, stop = 1000.0, length = 1000 ); +julia> gen( x, "data.json" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + S = Float64[]; + C = Float64[]; + setprecision( BigFloat, 2048 ) do + for xi in x + s, c = fresnel( BigFloat( xi ) ); + push!( S, Float64( s ) ); + push!( C, Float64( c ) ); + end + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("S", S), + ("C", C) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Small values: +x = range( 0.0001, stop = 9.99, length = 1000 ); +gen( x, "small.json" ); + +# Medium values: +x = range( 100.0, stop = 36968.0, length = 1000 ); +gen( x, "medium.json" ); + +# Large values: +x = range( 40000.0, stop = 60000.0, length = 1000 ); +gen( x, "large.json" ); + +# Huge values: +x = exp10.( range( log10( 60000.0 ), stop = 15.0, length = 1000 ) ); +gen( x, "huge.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/small.json b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/small.json new file mode 100644 index 000000000000..49481597bdeb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/fixtures/julia/small.json @@ -0,0 +1 @@ +{"C":[0.0001,0.010099899873968551,0.020099798990334188,0.030099693603621535,0.0400995740172867,0.05009942162300795,0.060099205940030605,0.07009888165463206,0.08009838565981399,0.09009763409537991,0.10009651938861779,0.11009490729587908,0.12009263394542745,0.13008950288202245,0.14008528211380586,0.15007970116217054,0.16007244811541507,0.17006316668711868,0.1800514532803157,0.19003685405869966,0.20001886202625185,0.20999691411686047,0.21997038829567941,0.2299386006741693,0.23990080264096283,0.24985617801091045,0.2598038401948818,0.2697428293931277,0.27967210981524837,0.2895905669300587,0.2994970047488992,0.3093901431462044,0.3192686152214136,0.3291309647065865,0.33897564342437536,0.34880100880129683,0.3586053214415453,0.36838674276689776,0.3781433327285667,0.3878730475971741,0.39757373783733674,0.40724314607367484,0.4168789051553793,0.42647853632679583,0.436039447511812,0.44555893172015437,0.4550341655840266,0.46446220803384086,0.47383999912210595,0.4831643590048504,0.4924319870902578,0.5016394613644907,0.5107832379049596,0.5198596505915735,0.5288649110267628,0.5377951086753154,0.5466462112352948,0.5554140652515168,0.5640943969832557,0.5726828135380104,0.58117480428331,0.5895657425486451,0.5978508876297003,0.6060253871071116,0.6140842794919931,0.6220224972104516,0.6298348699392542,0.6375161283047067,0.6450609079566502,0.6524637540292932,0.6597191260003441,0.6668214029596057,0.6737648892978403,0.6805438208262921,0.6871523713367724,0.6935846596116703,0.6998347568926327,0.7058966948159775,0.7117644738221385,0.717432072045611,0.7228934546909485,0.7281425838993666,0.7331734291094315,0.7379799779141435,0.7425562474154751,0.746896296076079,0.7509942360664489,0.7548442461042908,0.7584405847812407,0.7617776043703559,0.7648497651059967,0.767651649925812,0.7701779796625534,0.7724236286713436,0.7743836408758547,0.7760532462145712,0.777427877465963,0.7785031874289409,0.7792750664324495,0.7797396601454438,0.7798933876558212,0.7797329597841378,0.7792553975951292,0.7784580510671979,0.777338617877118,0.7758951622542635,0.7741261338556839,0.7720303866103555,0.7696071974779266,0.7668562850642697,0.7637778280331574,0.7603724832504194,0.75664140359401,0.7525862553605499,0.7482092351961142,0.7435130864763302,0.7385011150582558,0.7331772043240308,0.727545829433974,0.7216120707046284,0.7153816260252884,0.7088608222247638,0.7020566252986032,0.6949766494057082,0.6876291645422477,0.6800231028000827,0.6721680631164999,0.6640743144220218,0.6557527970933701,0.6472151226193926,0.6384735713888844,0.6295410885108291,0.6204312775796207,0.6111583923003627,0.6017373258923925,0.5921835981927421,0.5825133403853902,0.5727432772868428,0.5628907071238799,0.5529734787451815,0.5430099662150637,0.533019040744675,0.5230200399237869,0.5130327342247143,0.5030772907589628,0.493174234276912,0.48334440541118223,0.47360891617533146,0.4639891027411282,0.4545064755298872,0.445182666666157,0.43603937485545163,0.4270983077616394,0.4183811219740432,0.4099093606692231,0.401704389087737,0.39378732796190635,0.38617898504664055,0.3788997849216892,0.37196969725018536,0.365408163694982,0.3592340237109546,0.35346543944809705,0.34811982001675895,0.34321374538267835,0.3387628901754636,0.3347819477097407,0.33128455453323136,0.3282832158304173,0.3257892320240823,0.32381262692976603,0.32236207782990095,0.3214448478449912,0.32106672098851524,0.3212319403001476,0.32194314945827157,0.32320133827745656,0.32500579249947614,0.32735404828740156,0.3302418518312054,0.3336631244700183,0.33760993373057824,0.34207247067339047,0.34703903392755514,0.35249602078203995,0.35842792568526566,0.36481734648617686,0.37164499872839957,0.37888973828461653,0.3865285925908474,0.3945368007099239,0.4028878624200548,0.4115535964880269,0.42050420824731255,0.42970836655918837,0.43913329019003483,0.44874484359032923,0.4585076420106474,0.46838516583735257,0.47833988397579696,0.48833338605195414,0.4983265231447075,0.5082795567007712,0.5181523152227203,0.5279043582581565,0.5374951471549864,0.5468842219844935,0.5560313839707601,0.5648968827024176,0.5734416073411606,0.5816272809813718,0.5894166572570877,0.5967737182368539,0.6036638725943139,0.6100541529931701,0.6159134115799594,0.6212125124374773,0.6259245198161745,0.630024880930998,0.6334916020874805,0.6363054168839207,0.6384499452267511,0.6399118418941547,0.6406809333891058,0.6407503418377288,0.6401165947125652,0.6387797191933697,0.636743320020727,0.6340146397503312,0.6306046003783929,0.6265278253814565,0.6218026412969809,0.6164510580643249,0.610498727449191,0.6039748789879371,0.5969122330111624,0.5893468904382687,0.581318199175812,0.572868597101823,0.5640434317752445,0.554890757173405,0.5454611079302024,0.5358072517224071,0.5259839206301308,0.5160475224789443,0.5060558333540173,0.4960676726597415,0.4861425622800718,0.4763403715738537,0.46672095011406595,0.45734375024861224,0.4482674417213307,0.43954952074358655,0.4312459160474123,0.4234105945789119,0.416095169603861,0.409348514094352,0.4032163823443248,0.397741042821239,0.39296092529949234,0.38891028533698424,0.3856188891481787,0.3831117218939125,0.3814087223490134,0.38052454682265785,0.38046836509263454,0.38124369097284816,0.3828482499632383,0.38527388623283476,0.38850651096018307,0.3925260938014065,0.3973066989755461,0.40281656715067876,0.40901824398406933,0.41586875581701566,0.4233198326521288,0.4313181781499289,0.4398057859754559,0.4487203014070828,0.45799542669207816,0.46756136820024335,0.4773453229918576,0.48727200198321474,0.49726418646642145,0.5072433143241596,0.5171300918793331,0.5268451269384661,0.5363095782310779,0.5454458161196285,0.5541780891606743,0.5624331908420745,0.5701411206078668,0.5772357331159311,0.5836553695577422,0.5893434648079976,0.5942491241679212,0.59832766352245,0.6015411068506313,0.6038586352122298,0.6052569815829663,0.6057207662266086,0.6052427676742141,0.6038241248283739,0.6014744662218224,0.598211963032889,0.5940633030919045,0.5890635837989026,0.5832561226090592,0.5766921845227707,0.569430626835789,0.5615374622543584,0.5530853423530713,0.5441529642407354,0.5348244041929224,0.5251883828994408,0.5153374678507775,0.5053672192391542,0.4953752865666908,0.4854604639244249,0.475721712620881,0.46625716048677635,0.45716308775292847,0.44853290988139316,0.44045616811580474,0.4330175387969995,0.4262958726562086,0.42036327534339885,0.4152842403667209,0.41111484540584314,0.4079020226138113,0.40568291303717047,0.4044843146621236,0.4043222328369271,0.4052015409306893,0.407115758071238,0.4100469496665817,0.41396575516438217,0.4188315461523062,0.4245927164614566,0.4311871044193542,0.4385425458238612,0.4465775545922462,0.45520212639888225,0.46431865897068386,0.4738229810821127,0.48360548070304815,0.49355232122508835,0.5035467332473361,0.5134703680637136,0.5232046977823496,0.5326324459448546,0.5416390316196693,0.5501140092381135,0.5579524859415309,0.5650564979283684,0.5713363272440801,0.5767117406548143,0.5811131326953273,0.5844825556868176,0.5867746204822761,0.5879572529128542,0.5880122923722927,0.5869359206774629,0.5847389112674921,0.5814466909339243,0.5770992085882238,0.5717506080453698,0.5654687044045451,0.5583342663080203,0.5504401091224382,0.5418900068754219,0.5327974335553791,0.5232841471025208,0.5134786320424563,0.503514419197784,0.49352830321565255,0.48365848072885975,0.4740426337848966,0.46481598469374313,0.4561093496265731,0.4480472191127241,0.44074589400459235,0.43431170548771453,0.4288393472898475,0.4244103473781175,0.42109170512348215,0.41893471815997635,0.4179740209827296,0.41822685473117965,0.41969258461725656,0.4223524781149407,0.4261697533670169,0.4310899033334471,0.43704129705634015,0.4439360551076539,0.45167119188125576,0.4601300129588897,0.4691837513913232,0.4786934224652403,0.48851187244814265,0.4984859929924638,0.5084590694096968,0.5182732279663537,0.5277719447727558,0.5368025767942491,0.5452188740671355,0.5528834313949769,0.5596700376724569,0.5654658815608276,0.5701735735371766,0.5737129463631999,0.5760225987592684,0.5770611505045568,0.5768081812788846,0.5752648302684799,0.572454038814936,0.5684204241205868,0.5632297781491581,0.5569681922820103,0.5497408149025056,0.5416702557711017,0.5328946577028861,0.5235654625445154,0.5138449046441198,0.5039032707913267,0.49391597085344446,0.48406046793163093,0.4745131206987498,0.46544599355989913,0.45702369231105133,0.4494002839892167,0.44271635955423644,0.4370962968812322,0.43264577925758996,0.42944962117395935,0.42756994870202936,0.4270447762121762,0.42788701467333234,0.4300839393894421,0.4335971368765918,0.43836294180689606,0.44429336569185024,0.45127750941691686,0.45918344205106854,0.4678605187298252,0.47714210104402766,0.48684863445731297,0.496791029019447,0.5067742822306924,0.5166012765244407,0.5260766786371738,0.5350108642736168,0.5432237890755414,0.550548726063702,0.55683579051345,0.5619551756831447,0.5658000269440773,0.5682888876291087,0.5693676572561198,0.5690110115868241,0.5672232441110172,0.5640384998265036,0.5595203844097364,0.5537609448073477,0.5468790306657021,0.5390180595763359,0.5303432225576157,0.5210381792169325,0.5113013043415663,0.5013415589532612,0.4913740688470502,0.4816155020534172,0.4722793432749209,0.463571167946823,0.4556840209874493,0.44879400541352,0.443056183722543,0.43860089026516336,0.43553054577663297,0.4339170558963733,0.4337998640226527,0.43518471542587456,0.43804317443199314,0.44231291998918154,0.4478988273918016,0.4546748257387323,0.4624865022602239,0.4711544063911104,0.4804779888415415,0.4902400943628497,0.5002119118584871,0.5101582723594033,0.5198431745482337,0.5290354093124527,0.5375141495150562,0.545074369011766,0.551531956065302,0.5567283907820679,0.5605348640153843,0.5628557262482445,0.5636311691082835,0.5628390591150364,0.5604958626709222,0.5566566227643506,0.5514139708708516,0.5448961815744086,0.5372643018998129,0.5287084116303397,0.5194430943498104,0.5097022209606629,0.499733167373168,0.4897906053524895,0.4801300196172943,0.4710011147402759,0.4626412818229727,0.45526929701535934,0.449079421541896,0.4442360659122997,0.4408691694907729,0.4390704307497826,0.43889050364560045,0.4403372520450436,0.44337512754152,0.44792570696138373,0.4538693951049262,0.4610482665877144,0.46926998889670996,0.4783127378307091,0.4879309872411531,0.49786202829349874,0.5078330501532782,0.5175685948177253,0.5267981844234266,0.5352639103072756,0.5427277697914846,0.5489785393608383,0.5538379816943622,0.5571661988232876,0.5588659642545492,0.5588858927900529,0.5572223373830592,0.5539199369431179,0.5490707766281656,0.5428121618259083,0.5353230476130734,0.5268192058145369,0.5175472506593096,0.5077776802472175,0.4977971234416154,0.4879000093111303,0.4783798978933582,0.46952072602964884,0.46158822968466967,0.4548218040834093,0.4494270549619531,0.4455692782658542,0.44336808201610817,0.44289333331854597,0.4441625763767517,0.44714002486270277,0.451737185283594,0.4578151184067723,0.46518829484791113,0.47362995016003334,0.48287879579406195,0.4926468967382298,0.502628486026661,0.5125094520674806,0.521977208146593,0.5307306355745159,0.5384897835699048,0.5450050106387435,0.5500652641247533,0.5535052166569694,0.5552110099506031,0.5551243970403146,0.5532451224361521,0.5496314344953567,0.5443986838472384,0.5377160241350646,0.5298012946382727,0.5209142264113531,0.5113481723028594,0.5014206145303848,0.49146274943938656,0.4818084859135318,0.47278322014027574,0.46469276389646463,0.4578128054049012,0.45237927073527495,0.4485799297308628,0.4465475540359467,0.44635488692552383,0.4480116266752261,0.45146355892624623,0.45659390101268355,0.4632268449226652,0.4711332080595369,0.480038024972874,0.48962984148264604,0.4995714077916684,0.5095114117672879,0.5190968498008729,0.5279856023934706,0.5358587663012994,0.5424322956358447,0.5474675211270326,0.5507801496166521,0.5522473939496383,0.5518129453852555,0.5494895745194276,0.5453592300575653,0.5395705947471503,0.5323341511865548,0.523914903668649,0.5146229921957712,0.5048025178505586,0.4948189715243344,0.4850457175868106,0.4758500278434124,0.46757918701747153,0.46054719758904,0.45502259839723885,0.45121787799726404,0.44928091115827784,0.44928877666230277,0.45124422901319056,0.455074998745885,0.46063598926166954,0.4677143264705312,0.47603710526327514,0.4852815683701865,0.4950873528661137,0.5050703516242935,0.514837665194817,0.5240030671375683,0.532202375333674,0.5391081149800818,0.5444428766761887,0.5479908151065574,0.5496067991828262,0.5492228110263879,0.5468512958258379,0.5425852835402662,0.5365952321019009,0.5291226751373342,0.5204708898851582,0.5109929274348994,0.5010774622556095,0.49113301617167454,0.48157118899097445,0.472789580178154,0.4651551105237578,0.45898844801252126,0.4545502075626387,0.45202953076656494,0.4515355612434307,0.45309221695032326,0.4566365271335142,0.46202065381773616,0.4690175618647037,0.47733014422069264,0.4866034567933629,0.4964395771745613,0.5064144795352729,0.5160962202006496,0.5250636594980556,0.5329249091425395,0.5393346930213968,0.5440098436154995,0.5467422257359327,0.5474084814661356,0.5459761213658798,0.5425056419029431,0.5371485213206726,0.5301411283698445,0.5217947625385785,0.5124822223188003,0.5026214614425776,0.4926570341507605,0.48304014248586846,0.4742081755608666,0.4665646684376296,0.46046060404849276,0.45617793477769963,0.4539161121110272,0.45378228634156076,0.4557856787293195,0.45983644247162286,0.4657491244774328,0.47325062644450444,0.4819923509644391,0.49156601638966974,0.5015224427878442,0.5113924595462992,0.5207089709451215,0.5290291455636602,0.5359556730476868,0.5411560596592772,0.5443790119036954,0.545467082697113,0.5443649219652831,0.5411226760259628,0.5358943085004916,0.5289308592250102,0.5205689050811912,0.5112147257662512,0.5013248963171449,0.49138421545370736,0.4818820245623104,0.47328806828155373,0.4660290883300334,0.4604673242226077,0.45688201751133845,0.4554548827766098,0.4562603243072008,0.45926095047564286,0.46430867882783594,0.47115144633811157,0.4794452549038698,0.48877100636429266,0.4986553284247626,0.5085943763149229,0.5180794267119083,0.5266229701165646,0.5337839624001235,0.5391909193538283,0.5425616299990348,0.5437184217840058,0.5425981267304416,0.5392561619830177,0.533864438153371,0.5267031292498978,0.5181466623229021,0.5086445961118429,0.4986983391406504,0.4888348932608196,0.47957898506131447,0.47142505418014546,0.4648105972056384,0.4600923153745649,0.45752638475134627,0.45725396441362254,0.459292790911805,0.4635353891677314,0.4697540773703269,0.47761257492261766,0.48668365800446095,0.49647196698448737,0.5064407730147287,0.5160412749781557,0.5247428368592533,0.5320625000425059,0.5375921209457185,0.5410215927095636,0.542156806169286,0.5409312807461338,0.5374107362677389,0.5317902641193418,0.524384169529202,0.5156089732354823,0.5059604566108643,0.4959859865236457,0.486253643762214,0.4773198839595533,0.4696975691933317,0.4638262136106943,0.46004618518482526,0.45857840182960247,0.45951076341593133,0.462792187221228,0.4682346833440527,0.4755234427664474,0.48423444065222815,0.49385860869330395,0.5038312297707348,0.5135648805316329,0.52248401355973,0.5300591463746243,0.5358386190788004,0.5394759987121557,0.54075144165623,0.5395856639954623,0.5360455952224792,0.530341279042227,0.5228141079213843,0.5139170043633113,0.5041876596963046,0.494216379522586,0.4846104359346263,0.47595706697076257,0.4687873766646119,0.4635433650539836,0.4605501555297957,0.4599951943317934,0.4619157895214216,0.4661958575671337,0.4725721841766474,0.48064991615097236,0.4899264192720191,0.49982210029628477,0.5097163336964361,0.5189862862676898,0.5270462191742652,0.5333847835271884,0.5375979190139606,0.5394152124214572,0.5387179611665646,0.5355476939134595,0.5301044956422202,0.522735131431684,0.5139116209082473,0.5042015414089202,0.49423189118808697,0.4846487871147235,0.4760755733189319,0.46907205579812605,0.46409754098308215,0.4614801428844991,0.46139444449310485,0.46384907655953506,0.46868514267335454,0.47558571371295927,0.48409588287038735,0.49365216287248814,0.5036193675399698,0.5133325945582364,0.5221415526263958,0.5294542819143813,0.5347773183623775,0.5377495532532987,0.5381674296804672,0.5359996739417651,0.5313904476367375,0.5246505807520022,0.5162373558641112,0.5067241038594207,0.4967615875831965,0.48703374090511625,0.4782107537501092,0.4709027163819774,0.46561703959089434,0.4627226472605825,0.46242350542950955,0.4647434338402343,0.4695233820800402,0.4764314937972713,0.48498538787924134,0.49458521737391714,0.5045552871876028,0.5141913770313558,0.5228104743750545,0.5297994081683706,0.5346589071021011,0.5370398882113295,0.5367692968313386,0.5338635343853024,0.528528378190151,0.5211452574342003,0.5122447338501116,0.5024689734005314,0.4925258175108515,0.48313770708379494,0.4749891295223669,0.46867641377033564,0.4646635750257737,0.46324751352398796,0.4645352251433544,0.4684348290059906,0.4746612182878857,0.4827560667267432,0.49212085340019157,0.502060582078886,0.5118350439840327,0.5207138688102558,0.5280312776002593,0.5332364220920167,0.5359354758811584,0.5359222172491839,0.5331946733205448,0.5279564217016497,0.5206022941808263,0.5116894119335186,0.501895613041743,0.4919683234228311,0.482667693038952,0.4747083074847113,0.46870394827488654,0.4651196952493803,0.46423514959945417,0.46612174040470933,0.4706360196327328,0.47742962870155065,0.4859753266685513,0.4956072059712324,0.5055720861289271,0.5150881604207587,0.5234063511576653,0.5298695596769365,0.5339651048104271,0.5353661260797603,0.5339585531366102,0.5298513509227403,0.5233690568633089,0.515027030797537,0.5054912292155542,0.4955255806247729,0.4859310744487333,0.477481394307406,0.47086026442854806,0.4666056015857516,0.46506507371363914,0.46636679339392456,0.47040768473023814,0.47686064787797083,0.4852001189626626,0.4947441079300528,0.5047094180147771,0.5142756240489208,0.5226526100773782,0.5291461098204376,0.5332157929396909,0.5345209949915823,0.532950160516585,0.5286313824544608,0.52192297247338,0.5133846594309187,0.5037316489300031,0.49377524740164835,0.4843549323813794,0.4762675321259116,0.4701994896987226,0.46666799502275663,0.4659760813699807,0.468185651039263,0.4731109082893645,0.4803329577718709,0.4892345178520351,0.4990519547139222,0.508940316580698,0.5180458732773926,0.5255799521420417,0.530887676342763,0.5335055805247445,0.533202978034086,0.5300033135628294,0.5241834431355595,0.5162506954911571,0.506899520119531,0.49695134609474795,0.487282799622719,0.4787485173320708,0.47210534329931164,0.4679446531462169,0.4666389028701105,0.4683073015432742,0.47280385416264914,0.47972905476622435,0.48846440214791054,0.4982268485969405,0.5081384627512047,0.517305159860287,0.5248974620870567,0.5302259871504094,0.5328047594282691,0.5323964678102374,0.5290353749127628,0.5230255766939043,0.5149145435917324,0.505444142669309,0.4954834366069365,0.4859492836836927,0.4777219576805471,0.4715635490064572,0.46804673789189793,0.4675006520810456,0.4699790060516111,0.4752536981206119,0.48283469717664773,0.4920145970833486,0.5019338828854553,0.5116609603743149,0.5202795425206627,0.5269752087462944,0.5311129400134814,0.53229819715167,0.530415590861862,0.5256412592212959,0.5184275337777499,0.509461108664597,0.499598478699157,0.48978463582619414,0.48096268957828897,0.47398303651420265,0.46952084233923447,0.46800989279311295,0.46959937130270435,0.47413796656192797,0.4811871016233141,0.49006225577634255],"S":[5.23598775598299e-13,5.394483015343038e-7,4.251809569145113e-6,1.4278580937201356e-5,3.376125116421957e-5,6.584128553793334e-5,0.00011366009625850555,0.00018035899417310214,0.0002690791172117979,0.00038296133087543775,0.0005251460961271809,0.0006987733000411867,0.0009069820445644473,0.0011529103887513914,0.0014396950398358073,0.0017704709885111721,0.0021483710837989383,0.0025765255428950467,0.0030580613913983377,0.0035961018293409423,0.004193765518460631,0.004854165786178995,0.005580409741777536,0.006375597300297038,0.007242820109724209,0.008185160377074395,0.00920568958903054,0.010307467122857163,0.011493538743374776,0.012766934981855207,0.014130669392782754,0.015587736684520319,0.017141110720024968,0.01879374238387364,0.0205485573119886,0.022408453480594014,0.024376298651090388,0.02645492766770409,0.0286471396049545,0.030955694762183426,0.03338331150261032,0.03593266293461367,0.03860637343319496,0.04140701499985658,0.04433710345942093,0.04739909449263514,0.050595379503744514,0.05392828132258014,0.05740004974109113,0.061012856884662146,0.06476879241899113,0.06866985859376319,0.07271796512484278,0.07691492391722,0.08126244363148784,0.08576212409719529,0.09041545057701854,0.0952237878863172,0.10018837437329572,0.10531031576567379,0.11059057889047934,0.11602998527431789,0.12162920463224035,0.12738874825412666,0.13330896229832706,0.1393900210031525,0.14563191982768262,0.15203446853426147,0.158597284225976,0.16531978435336186,0.1722011797055498,0.1792404674020546,0.18643642390241597,0.1937875980519215,0.201292304182678,0.208948615290341,0.21675435630786716,0.2247070974987097,0.23280414799293567,0.24104254949080023,0.24941907015936157,0.2579301987487575,0.2665721389557895,0.2753408040634612,0.2842318118860971,0.29324048005061437,0.3023618216454305,0.311590541269361,0.3209210315136776,0.3303473699112687,0.33986331638754047,0.34946231124833915,0.35913747374072696,0.36888160122292396,0.37868716898010835,0.38854633072305184,0.3984509198067429,0.4083924512062074,0.4183621242866735,0.4283508264050249,0.43834913737914594,0.4483473348612679,0.45833540065077377,0.4683030279810917,0.47823962981431445,0.4881343481759841,0.49797606456111304,0.507753411440911,0.5174547848979076,0.5270683584151281,0.5365820978427525,0.5459837775632015,0.5552609978728841,0.5644012035958829,0.5733917039416353,0.5822196936152189,0.5908722751851079,0.599336482709309,0.6075993066165173,0.6156477198344498,0.6234687051527298,0.6310492838026847,0.63837654523113,0.6454376780396868,0.6522200020554082,0.6587110014924747,0.6648983591584945,0.6707699916524863,0.6763140854949882,0.6815191341238909,0.6863739756826122,0.6908678315200737,0.6949903453146817,0.698731622727146,0.7020822714795264,0.7050334417504224,0.7075768667687105,0.7097049034807745,0.7114105731587402,0.7126876018099118,0.7135304602404147,0.7139344036190423,0.7138955103805177,0.7134107203008676,0.712477871571414,0.7110957366920635,0.7092640569991829,0.7069835756384258,0.7042560687884981,0.7010843749380569,0.6974724220148002,0.6934252521633758,0.6889490439670758,0.6840511319074514,0.6787400228560431,0.6730254093934144,0.6669181797526935,0.6604304241878848,0.6535754375714,0.6463677180306006,0.6388229614397132,0.6309580515912996,0.6227910458806002,0.6143411563465391,0.6056287259250296,0.5966751997834736,0.5875030916200208,0.5781359448272786,0.5685982884377172,0.5589155877870398,0.5491141898522223,0.5392212632428139,0.5292647328473462,0.5192732091613178,0.5092759123491689,0.49930259111982045,0.48938343652373556,0.4795489908089054,0.46983005150363644,0.4602575709253676,0.45086255134689057,0.44167593608412203,0.4327284968028551,0.42405071737554306,0.4156726746529433,0.4076239165492298,0.3999333378727291,0.3926290543675751,0.3857382754640612,0.379287176267092,0.3733007693426283,0.3678027768911616,0.3628155039247592,0.3583597130898405,0.3544545018013082,0.3511171823746728,0.3483631658611249,0.3462058503058178,0.34465651416167375,0.3437242155995258,0.3434156984600968,0.343735305593932,0.3446849003316911,0.34626379681893144,0.3484686999364537,0.3512936555092278,0.3547300114836834,0.3587663907245814,0.36338867604863595,0.36858000807242924,0.3743207964068774,0.38058874467953097,0.38735888980931454,0.394603655895966,0.4022929230185296,0.41039411116386587,0.41887227942749367,0.42769024054533916,0.4368086907264641,0.4461863546638413,0.4557801455031722,0.46554533944898396,0.47543576458333076,0.4854040033658446,0.4954016081752667,0.5053793291425794,0.5152873534151202,0.5250755548803768,0.5346937532682912,0.5440919814427145,0.5532207595869839,0.5620313748863752,0.5704761652123693,0.5785088052211762,0.5860845931928247,0.5931607368582886,0.5996966363916357,0.6056541626829803,0.6109979289571371,0.6156955537632257,0.61971791333302,0.6230393812914297,0.62563805370201,0.6274959574445672,0.6285992399514708,0.6289383383748177,0.628508126318638,0.6273080363492993,0.6253421565934719,0.6226192998466173,0.6191530437460258,0.6149617407108154,0.6100684965168061,0.6045011165563297,0.5982920190312965,0.5914781145414144,0.5841006517574453,0.5762050291106605,0.5678405726829167,0.5590602807455795,0.5499205356681746,0.5404807841973619,0.5308031873915704,0.5209522417842826,0.5109943736371843,0.5009975084307425,0.49103061802171316,0.48116324817187295,0.4714650294172095,0.4620051744989874,0.45285196581472126,0.444072236565183,0.4357308494702551,0.42789017709889127,0.4206095880038216,0.41394494296727885,0.4079481057473276,0.4026664727629807,0.39814252616794266,0.39441341473558394,0.3915105669098824,0.38945934026718937,0.3882787114806803,0.38798101068252555,0.38857170387784323,0.39004922677946247,0.3924048731039567,0.39562273999832476,0.3996797328545584,0.4045456313181345,0.41018321780867273,0.4165484693496091,0.42359081295222767,0.4312534442217692,0.4394737082540864,0.4481835412753521,0.45730997085007885,0.46677567184992,0.4764995747436126,0.48639752214341364,0.49638296893227357,0.5063677207057463,0.5162627047003328,0.5259787668528295,0.5354274881504545,0.5445220129961895,0.5531778819348113,0.561313860769216,0.5688527578501554,0.5757222211513673,0.5818555066515876,0.5871922095398884,0.5916789498451945,0.5952700042679109,0.5979278762637099,0.5996237967980415,0.6003381486551914,0.6000608077469688,0.5987913955214537,0.5965394373185812,0.5933244223523775,0.5891757619138246,0.5841326433768563,0.5782437786448312,0.5715670467868132,0.5641690317717464,0.5561244574027088,0.5475155227704364,0.538431142771889,0.528966099461676,0.5192201112069053,0.5092968277841996,0.4993027606756887,0.4893461588729693,0.4795358414686523,0.4699799991887844,0.4607849777811282,0.452054056809775,0.4438862379024225,0.4363750568406908,0.4296074340651394,0.4236625781758773,0.4186109568393128,0.41451334915606125,0.4114199930009384,0.40936984011217864,0.40838993078491287,0.408494898917397,0.4096866168740657,0.4119539881764328,0.4152728944231165,0.41960630108845637,0.424904524972562,0.4311056640939356,0.43813618875118165,0.4459116903570358,0.4543377824922959,0.463311146467096,0.4727207115416673,0.4824489578785227,0.49237332830387165,0.5023677330790922,0.5123041301542215,0.5220541618248877,0.5314908273709156,0.5404901701464456,0.548932956743028,0.5567063252814493,0.56370537962453,0.5698347063578035,0.5750097917698899,0.5791583167871679,0.5822213088810768,0.5841541313690759,0.5849272922648718,0.584527056887535,0.5829558507947776,0.5802324422397513,0.5763918962347689,0.5714852954057883,0.5655792260999423,0.5587550316219868,0.5511078379774839,0.5427453610405324,0.5337865075888809,0.5243597861041112,0.5146015465628676,0.5046540715898902,0.4946635442484839,0.4847779203539495,0.47514473545779107,0.4659088785158485,0.4572103656768835,0.4491821485699103,0.4419479918951208,0.4356204550081973,0.43029901151243005,0.4260683396272872,0.4229968142848162,0.42113522952500976,0.4205157768363279,0.42115130164624986,0.4230348562472581,0.4261395630940535,0.4304187976854434,0.4358066952154292,0.4422189799167944,0.4495541106083389,0.45769473048118375,0.46650940371244093,0.4758546161713694,0.48557701238115875,0.49551583611591066,0.5055055376428299,0.5153785067561935,0.5249678874790977,0.5341104277109899,0.5426493152441763,0.5504369505210189,0.557337606303153,0.5632299251089469,0.5680092068648135,0.5715894417131127,0.5739050463108453,0.574912266208375,0.5745902119680032,0.5729415025029728,0.569992495606276,0.5657930926974091,0.5604161123311691,0.5539562348596401,0.5465285286793635,0.5382665765837515,0.5293202287229104,0.5198530163920262,0.5100392681671536,0.5000609766275428,0.49010446989575884,0.4803569473484371,0.4710029429711798,0.46222078283509604,0.4541791049621773,0.4470335103449618,0.4409234130388068,0.4359691550237891,0.43226944793584554,0.42989919881945443,0.4289077708117263,0.4293177222138877,0.43112405885266086,0.43429402511993137,0.4387674487686125,0.44445764362292733,0.4512528630394382,0.45901828545438017,0.46759850190867963,0.4768204642975657,0.48649684249271496,0.49642972867464286,0.5064146184269667,0.5162445906040439,0.5257146018925332,0.5346258075245934,0.5427898169157465,0.5500327922103205,0.5561992989007817,0.5611558208822424,0.5647938575047863,0.5670325273436745,0.5678206124251228,0.5671379873818418,0.5649963902826441,0.5614395054573884,0.5565423432575798,0.5504099170559469,0.5431752335693122,0.5349966284407259,0.5260544945777199,0.5165474656460263,0.5066881309967599,0.4966983708054017,0.48680441098812344,0.47723170622892785,0.4681997659303318,0.45991704186654986,0.45257599759891326,0.4463484781944508,0.4413814944193256,0.4377935283753603,0.4356714575955809,0.4350681820689218,0.4360010237489163,0.4384509511063349,0.442362662562466,0.4476455425941412,0.4541754833865757,0.46179754361587366,0.47032939478619257,0.47956548505807317,0.4892818312166739,0.4992413318619414,0.5091994795515852,0.5189103369470787,0.5281326324051298,0.536635824259206,0.5442059805087185,0.5506513219521174,0.5558072820454765,0.5595409459216574,0.5617547439456125,0.5623892916842194,0.5614252879082375,0.5588844047972042,0.554829129374149,0.5493615417663973,0.5426210435165008,0.534781077148319,0.5260449057894865,0.5166405481106984,0.5068149884183641,0.49682780371049384,0.4869443682040246,0.4774288106605298,0.4685369102586467,0.4605091223723325,0.4535639261206168,0.44789168079579317,0.4436491682334104,0.4409549829869827,0.4398859120900704,0.44047442165200007,0.44270733910460747,0.44652578828839246,0.45182640054339507,0.4584637894533683,0.4662542408537293,0.47498053417279684,0.4843977771686622,0.4942401046759553,0.5042280640712381,0.5140764867138236,0.5235026264299952,0.5322343338629334,0.5400180297341888,0.5466262411060904,0.5518644727569668,0.5555772007380019,0.557652796818316,0.558027220380852,0.5566863477412427,0.5536668469713973,0.5490555480959739,0.5429873028261726,0.5356413735212073,0.5272364364657671,0.5180243284260226,0.5082827064054528,0.4983068272206623,0.48840068470333553,0.47886776688809174,0.4700017125214171,0.46207715488749956,0.4553410407961882,0.4500047033836688,0.4462369491854928,0.44415839309027105,0.4438372398939377,0.44528666914924087,0.4484639320004191,0.45327121609456494,0.45955827904539753,0.46712679401423846,0.47573629458309596,0.48511155207958123,0.49495116870402317,0.5049371259527539,0.5147449915304843,0.5240544605980576,0.5325598899522399,0.5399804774203887,0.5460697438718227,0.5506239919264302,0.5534894434198497,0.5545677963133957,0.5538199899844841,0.5512680243101711,0.5469947409505872,0.5411415427647983,0.5339040971489887,0.5255261389311389,0.5162915558748616,0.5065150024393582,0.4965313429126604,0.48668427126436586,0.4773144901980747,0.46874785440626415,0.46128389182700164,0.4551851111130926,0.4506674833831978,0.4478924519792117,0.44696077627135744,0.44790845590278966,0.4507049120902106,0.45525352495602806,0.4613945429705352,0.4689102953046283,0.4775325532783247,0.48695180624347084,0.4968281432155287,0.5068033672589772,0.51651391764569,0.5256041373739249,0.5337394025066452,0.5406186261513342,0.5459856643272362,0.5496391833550968,0.5514405979843618,0.5513197547971583,0.5492781144135079,0.5453892760067496,0.5397967854669746,0.5327092706806508,0.5243930500205229,0.5151624593312041,0.5053682345468816,0.49538436785965767,0.4855939216696797,0.4763743334619885,0.46808277394134074,0.4610421285970966,0.4555281585440864,0.45175836002373465,0.44988298426211804,0.4499786022458439,0.452044504993951,0.45600212241993937,0.4616975268699562,0.4689069653591593,0.4773452422008595,0.48667665606436167,0.49652808738257515,0.5065037380766877,0.5162009499347557,0.5252264741968699,0.5332125356805363,0.5398320319048381,0.5448122318775506,0.5479463901287952,0.5491027677201314,0.5482306507491832,0.5453630747110684,0.5406160954783334,0.5341845893987374,0.5263347103311627,0.5173932742871977,0.5077344766086942,0.4977644663845754,0.48790440265291557,0.47857269211839765,0.47016715484915456,0.46304788003710057,0.457521517024925,0.4538276974074482,0.4521282035056415,0.45249938968286973,0.45492822993078813,0.4593122131716263,0.46546314304866976,0.47311472857310416,0.4819336832611398,0.49153389084433924,0.5014930525655716,0.5113711112309028,0.5207296564535578,0.5291514586216555,0.5362592593644,0.5417329654051691,0.5453244506799884,0.5468692667047411,0.5462946898964284,0.5436236917697809,0.5389745970818993,0.5325563883518266,0.524659814157037,0.5156446541472214,0.5059236766919737,0.49594398672334195,0.48616659365241965,0.47704512540913835,0.46900466937951646,0.46242173081595295,0.4576062627276696,0.4547866390318322,0.4540983177569466,0.45557677834065635,0.4591551234813837,0.46466652016091436,0.47185142620606024,0.480369318794479,0.4898144206707041,0.4997347193812157,0.5096534047066352,0.51909171858199,0.527592127372615,0.5347406935362908,0.5401875451678367,0.5436644178007249,0.5449983705593473,0.544120953115633,0.5410723132650306,0.5359999775341192,0.5291522976054919,0.5208668208693429,0.5115541008971755,0.5016776999800203,0.4917313387321328,0.4822143061795526,0.473606348771389,0.46634330191218004,0.4607947093567983,0.4572445937342153,0.4558763984351695,0.45676292317630507,0.45986183177875445,0.465017032696727,0.47196593427546885,0.48035227267393216,0.4897439165634636,0.49965478465403407,0.5095697843640046,0.5189715053218069,0.5273672901537492,0.5343152643490804,0.5394479405087614,0.5424921197296904,0.5432839900597483,0.5417785608674451,0.5380528610978472,0.5323026542648579,0.524832766929134,0.5160414721865857,0.5063996967323802,0.4964261112893365,0.4866594030480208,0.47762920118410424,0.46982722173143726,0.46368020931796666,0.4595261781991679,0.4575952960377284,0.4579965180594053,0.4607107780639406,0.465591191680378,0.47237034475515877,0.4806743465529236,0.49004294530876513,0.49995465424506147,0.5098555397538334,0.5191900978126546,0.527432504010963,0.5341164764776497,0.5388620440199692,0.5413976628574221,0.5415763677812008,0.539384965320489,0.5349456606527115,0.5285099356820615,0.5204449391887112,0.5112130859180185,0.5013459645037075,0.49141400012097686,0.4819935854561801,0.4736335657795741,0.46682302865754344,0.461962300236373,0.4593388887199661,0.4591098489753013,0.4612916838658156,0.46575846741690907,0.47224839647023575,0.4803784786919732,0.4896665750974913,0.4995595641741766,0.5094660100825336,0.5187914237495818,0.5269740224296607,0.5335188337180468,0.5380280600568517,0.5402258176954441,0.5399756802341187,0.5372898742140416,0.5323294690609041,0.5253954471029966,0.5169110988019956,0.5073967294980903,0.49743815301383926,0.4876508530269034,0.4786419883809502,0.470972582941294,0.46512226145443003,0.46145876611672715,0.4602142193793947,0.46146970119363206,0.4651492061212344,0.47102346736210843,0.4787235160829558,0.4877632240915537,0.4975694954374273,0.5075182658955647,0.516974072406099,0.5253306949569011,0.5320502703929868,0.536698340784039,0.5389725272801476,0.5387229020849346,0.535962644285216,0.5308681787658402,0.5237686730546354,0.5151254615548218,0.5055026349475379,0.49553063008755727,0.485865141721283,0.4771440176160945,0.46994496795694285,0.4647469037491157,0.46189751514373906,0.46158931925967606,0.463845870508498,0.46851916782818215,0.4752985546928196,0.4837306376540755,0.49324899898442653,0.5032117999410227,0.5129448106772334,0.5217870012149404,0.5291356154443033,0.5344876447939212,0.537474824116272,0.5378896791120428,0.5357007378565318,0.5310557415762789,0.5242725042257586,0.5158179217575184,0.506276461701907,0.4963102135311972,0.4866131964401979,0.4778630580781048,0.4706735215389038,0.46555092901419726,0.4628579854231044,0.46278733719491283,0.4653469594158318,0.47035851235656684,0.4774689211504716,0.4861744931685175,0.4958559830667171,0.5058222110401511,0.5153591950875981,0.5237813223287988,0.5304808927594392,0.5349724394327574,0.5369285613968331,0.5362045802127239,0.5328501098990257,0.5271065603645252,0.5193906103389602,0.510264714438534,0.5003966748768902,0.49051113916437455,0.4813365171992388,0.4735511941918706,0.4677330171336932,0.46431583961730644,0.4635564320320348,0.46551433228491124,0.4700462766655379,0.47681577800405567,0.48531728719833694,0.49491326879336134,0.5048815255660225,0.514469298306481,0.5229501097942453,0.5296790630419621,0.5341423680636969,0.5359972593241581,0.535099153443717,0.5315138359929525,0.525513589318882,0.517557396812337,0.5082565899912841,0.49832844801008436,0.48854122446853787,0.47965478557189234,0.47236143715658613,0.46723155977021735,0.4646683516870978,0.46487531844505947,0.46783919048461897,0.4733297682537197,0.4809168763570211,0.49000325707413056,0.4998709555394648,0.5097376469562557,0.5188185211963687,0.5263888431832348,0.5318421939902793,0.5347396830974579,0.5348460904015907,0.5321498998702999,0.526865449678659,0.5194168483332188,0.510404779763274,0.5005587236486859,0.49067833485504714,0.4815686552705164,0.4739743917771978,0.46851863351010026,0.4656510815814756,0.46561014257470396,0.46840214601229535,0.47379956989234157,0.4813586066901017,0.4904548009863696,0.5003339716244626,0.5101743240497454,0.5191546749974131,0.5265231396470621,0.5316605254816478,0.5341330538502741,0.533729865688908,0.530481998817855,0.5246610528474883,0.5167574590474528,0.5074400046438668,0.49749987675511187,0.4877838506669402,0.47912222988357694,0.47225766101618283,0.4677809432593774,0.46607942192444524,0.4673025355827304,0.471347657224335,0.477867648813271,0.4862996805765994,0.4959130115870619,0.505871748711481,0.5153072464192818,0.5233939041131733,0.529421747207396,0.5328593842187107,0.533401705620975,0.5309979717938798,0.5258576216478618,0.518433077376198,0.5093808555640119,0.4995042407439575,0.4896824593302094,0.48079255509098356,0.4736308921279728,0.46884132416670815,0.4668565500768447,0.4678580618458371,0.4717584740766429,0.4782080420649453,0.48662500281399407,0.496247204578112,0.5062005233833576,0.5155779822202616,0.5235224410360778,0.5293053176310619,0.5323940784895637,0.5325021894145542,0.5296167612633926,0.5240011324340403,0.5161719182952198,0.5068524204269693,0.4969065067380179,0.4872589383038299,0.47880945054812446,0.4723485623649218,0.46848301428744654,0.46757792134664594,0.46972123321994885,0.4747140541298802,0.48208797219456195,0.4911480045981667,0.5010373202701831,0.5108177897189883,0.5195588385685815,0.5264262055851632,0.5307621219245873,0.5321491560484346,0.5304514506466614,0.5258291827592597,0.5187246125419198,0.5098208113736336,0.4999768152751509,0.4901452762404427,0.4812804509635912,0.47424539305462565,0.46972738986477375],"x":[0.0001,0.0100998998998999,0.0200997997997998,0.030099699699699698,0.0400995995995996,0.050099499499499496,0.0600993993993994,0.0700992992992993,0.0800991991991992,0.0900990990990991,0.100098998998999,0.1100988988988989,0.1200987987987988,0.1300986986986987,0.1400985985985986,0.1500984984984985,0.1600983983983984,0.1700982982982983,0.1800981981981982,0.1900980980980981,0.200097997997998,0.2100978978978979,0.22009779779779778,0.2300976976976977,0.2400975975975976,0.2500974974974975,0.2600973973973974,0.2700972972972973,0.2800971971971972,0.2900970970970971,0.300096996996997,0.3100968968968969,0.3200967967967968,0.3300966966966967,0.3400965965965966,0.3500964964964965,0.3600963963963964,0.3700962962962963,0.3800961961961962,0.3900960960960961,0.400095995995996,0.4100958958958959,0.4200957957957958,0.4300956956956957,0.4400955955955956,0.4500954954954955,0.4600953953953954,0.4700952952952953,0.48009519519519517,0.4900950950950951,0.500094994994995,0.5100948948948949,0.5200947947947948,0.5300946946946947,0.5400945945945946,0.5500944944944945,0.5600943943943943,0.5700942942942943,0.5800941941941942,0.5900940940940941,0.600093993993994,0.6100938938938939,0.6200937937937938,0.6300936936936937,0.6400935935935936,0.6500934934934935,0.6600933933933933,0.6700932932932933,0.6800931931931932,0.6900930930930931,0.700092992992993,0.7100928928928929,0.7200927927927928,0.7300926926926927,0.7400925925925926,0.7500924924924925,0.7600923923923923,0.7700922922922923,0.7800921921921922,0.7900920920920921,0.800091991991992,0.8100918918918919,0.8200917917917918,0.8300916916916917,0.8400915915915916,0.8500914914914915,0.8600913913913913,0.8700912912912913,0.8800911911911912,0.8900910910910911,0.900090990990991,0.9100908908908909,0.9200907907907908,0.9300906906906907,0.9400905905905906,0.9500904904904904,0.9600903903903903,0.9700902902902903,0.9800901901901902,0.9900900900900901,1.00008998998999,1.0100898898898898,1.0200897897897898,1.0300896896896896,1.0400895895895896,1.0500894894894894,1.0600893893893895,1.0700892892892893,1.0800891891891893,1.090089089089089,1.1000889889889889,1.110088888888889,1.1200887887887887,1.1300886886886887,1.1400885885885885,1.1500884884884885,1.1600883883883883,1.1700882882882884,1.1800881881881882,1.1900880880880882,1.200087987987988,1.2100878878878878,1.2200877877877878,1.2300876876876876,1.2400875875875876,1.2500874874874874,1.2600873873873875,1.2700872872872873,1.2800871871871873,1.290087087087087,1.3000869869869869,1.310086886886887,1.3200867867867867,1.3300866866866867,1.3400865865865865,1.3500864864864865,1.3600863863863863,1.3700862862862864,1.3800861861861862,1.3900860860860862,1.400085985985986,1.4100858858858858,1.4200857857857858,1.4300856856856856,1.4400855855855856,1.4500854854854854,1.4600853853853855,1.4700852852852853,1.4800851851851853,1.490085085085085,1.5000849849849849,1.510084884884885,1.5200847847847847,1.5300846846846847,1.5400845845845845,1.5500844844844845,1.5600843843843843,1.5700842842842844,1.5800841841841842,1.5900840840840842,1.600083983983984,1.6100838838838838,1.6200837837837838,1.6300836836836836,1.6400835835835836,1.6500834834834834,1.6600833833833835,1.6700832832832833,1.6800831831831833,1.690083083083083,1.7000829829829829,1.710082882882883,1.7200827827827827,1.7300826826826827,1.7400825825825825,1.7500824824824825,1.7600823823823823,1.7700822822822824,1.7800821821821822,1.790082082082082,1.800081981981982,1.8100818818818818,1.8200817817817818,1.8300816816816816,1.8400815815815816,1.8500814814814814,1.8600813813813815,1.8700812812812813,1.8800811811811813,1.890081081081081,1.9000809809809809,1.910080880880881,1.9200807807807807,1.9300806806806807,1.9400805805805805,1.9500804804804805,1.9600803803803803,1.9700802802802804,1.9800801801801802,1.99008008008008,2.0000799799799798,2.01007987987988,2.02007977977978,2.03007967967968,2.0400795795795794,2.0500794794794794,2.0600793793793795,2.0700792792792795,2.080079179179179,2.090079079079079,2.100078978978979,2.1100788788788787,2.1200787787787787,2.1300786786786787,2.1400785785785787,2.1500784784784783,2.1600783783783783,2.1700782782782784,2.1800781781781784,2.190078078078078,2.200077977977978,2.210077877877878,2.2200777777777776,2.2300776776776776,2.2400775775775776,2.2500774774774777,2.2600773773773772,2.2700772772772773,2.2800771771771773,2.290077077077077,2.300076976976977,2.310076876876877,2.320076776776777,2.3300766766766765,2.3400765765765765,2.3500764764764766,2.3600763763763766,2.370076276276276,2.380076176176176,2.390076076076076,2.4000759759759758,2.410075875875876,2.420075775775776,2.430075675675676,2.4400755755755754,2.4500754754754754,2.4600753753753755,2.4700752752752755,2.480075175175175,2.490075075075075,2.500074974974975,2.5100748748748747,2.5200747747747747,2.5300746746746747,2.5400745745745748,2.5500744744744743,2.5600743743743744,2.5700742742742744,2.5800741741741744,2.590074074074074,2.600073973973974,2.610073873873874,2.6200737737737736,2.6300736736736736,2.6400735735735736,2.6500734734734737,2.6600733733733732,2.6700732732732733,2.6800731731731733,2.690073073073073,2.700072972972973,2.710072872872873,2.720072772772773,2.7300726726726725,2.7400725725725725,2.7500724724724726,2.7600723723723726,2.770072272272272,2.780072172172172,2.790072072072072,2.8000719719719718,2.810071871871872,2.820071771771772,2.830071671671672,2.8400715715715714,2.8500714714714714,2.8600713713713715,2.8700712712712715,2.880071171171171,2.890071071071071,2.900070970970971,2.9100708708708707,2.9200707707707707,2.9300706706706707,2.9400705705705708,2.9500704704704703,2.9600703703703704,2.9700702702702704,2.98007017017017,2.99007007007007,3.00006996996997,3.01006986986987,3.0200697697697696,3.0300696696696696,3.0400695695695696,3.0500694694694697,3.0600693693693692,3.0700692692692693,3.0800691691691693,3.090069069069069,3.100068968968969,3.110068868868869,3.120068768768769,3.1300686686686685,3.1400685685685685,3.1500684684684686,3.1600683683683686,3.170068268268268,3.180068168168168,3.190068068068068,3.2000679679679678,3.210067867867868,3.220067767767768,3.230067667667668,3.2400675675675674,3.2500674674674674,3.2600673673673675,3.2700672672672675,3.280067167167167,3.290067067067067,3.300066966966967,3.3100668668668667,3.3200667667667667,3.3300666666666667,3.3400665665665668,3.3500664664664663,3.3600663663663664,3.3700662662662664,3.380066166166166,3.390066066066066,3.400065965965966,3.410065865865866,3.4200657657657656,3.4300656656656656,3.4400655655655656,3.4500654654654657,3.4600653653653652,3.4700652652652653,3.4800651651651653,3.490065065065065,3.500064964964965,3.510064864864865,3.520064764764765,3.5300646646646645,3.5400645645645645,3.5500644644644646,3.5600643643643646,3.570064264264264,3.580064164164164,3.590064064064064,3.6000639639639638,3.610063863863864,3.620063763763764,3.630063663663664,3.6400635635635634,3.6500634634634634,3.6600633633633635,3.670063263263263,3.680063163163163,3.690063063063063,3.700062962962963,3.7100628628628627,3.7200627627627627,3.7300626626626627,3.7400625625625628,3.7500624624624623,3.7600623623623624,3.7700622622622624,3.780062162162162,3.790062062062062,3.800061961961962,3.810061861861862,3.8200617617617616,3.8300616616616616,3.8400615615615616,3.8500614614614617,3.8600613613613612,3.8700612612612613,3.8800611611611613,3.890061061061061,3.900060960960961,3.910060860860861,3.920060760760761,3.9300606606606605,3.9400605605605605,3.9500604604604606,3.9600603603603606,3.97006026026026,3.98006016016016,3.99006006006006,4.00005995995996,4.01005985985986,4.02005975975976,4.03005965965966,4.04005955955956,4.05005945945946,4.060059359359359,4.070059259259259,4.080059159159159,4.090059059059059,4.100058958958959,4.110058858858859,4.120058758758759,4.130058658658658,4.140058558558558,4.150058458458458,4.160058358358358,4.170058258258258,4.180058158158158,4.190058058058058,4.2000579579579576,4.210057857857858,4.220057757757758,4.230057657657658,4.240057557557558,4.250057457457458,4.260057357357358,4.270057257257257,4.280057157157157,4.290057057057057,4.300056956956957,4.310056856856857,4.320056756756757,4.330056656656657,4.340056556556557,4.350056456456456,4.360056356356356,4.370056256256256,4.380056156156156,4.390056056056056,4.400055955955956,4.410055855855856,4.420055755755755,4.430055655655655,4.440055555555555,4.4500554554554554,4.4600553553553555,4.4700552552552555,4.4800551551551555,4.490055055055055,4.500054954954955,4.510054854854855,4.520054754754755,4.530054654654655,4.540054554554555,4.550054454454455,4.560054354354354,4.570054254254254,4.580054154154154,4.590054054054054,4.600053953953954,4.610053853853854,4.620053753753754,4.630053653653654,4.640053553553553,4.650053453453453,4.660053353353353,4.670053253253253,4.680053153153153,4.690053053053053,4.700052952952953,4.7100528528528525,4.7200527527527525,4.7300526526526525,4.7400525525525525,4.750052452452453,4.760052352352353,4.770052252252253,4.780052152152152,4.790052052052052,4.800051951951952,4.810051851851852,4.820051751751752,4.830051651651652,4.840051551551552,4.850051451451452,4.860051351351351,4.870051251251251,4.880051151151151,4.890051051051051,4.900050950950951,4.910050850850851,4.920050750750751,4.93005065065065,4.94005055055055,4.95005045045045,4.96005035035035,4.97005025025025,4.98005015015015,4.99005005005005,5.00004994994995,5.01004984984985,5.02004974974975,5.03004964964965,5.04004954954955,5.05004944944945,5.06004934934935,5.070049249249249,5.080049149149149,5.090049049049049,5.100048948948949,5.110048848848849,5.120048748748749,5.130048648648649,5.140048548548549,5.150048448448448,5.160048348348348,5.170048248248248,5.180048148148148,5.190048048048048,5.200047947947948,5.210047847847848,5.220047747747747,5.230047647647647,5.240047547547547,5.2500474474474474,5.2600473473473475,5.2700472472472475,5.2800471471471475,5.290047047047047,5.300046946946947,5.310046846846847,5.320046746746747,5.330046646646647,5.340046546546547,5.350046446446447,5.360046346346346,5.370046246246246,5.380046146146146,5.390046046046046,5.400045945945946,5.410045845845846,5.420045745745746,5.430045645645646,5.440045545545545,5.450045445445445,5.460045345345345,5.470045245245245,5.480045145145145,5.490045045045045,5.500044944944945,5.5100448448448445,5.5200447447447445,5.5300446446446445,5.5400445445445445,5.550044444444445,5.560044344344345,5.570044244244245,5.580044144144144,5.590044044044044,5.600043943943944,5.610043843843844,5.620043743743744,5.630043643643644,5.640043543543544,5.650043443443443,5.660043343343343,5.670043243243243,5.680043143143143,5.690043043043043,5.700042942942943,5.710042842842843,5.720042742742743,5.730042642642642,5.740042542542542,5.750042442442442,5.760042342342342,5.770042242242242,5.780042142142142,5.790042042042042,5.800041941941942,5.810041841841842,5.820041741741742,5.830041641641642,5.840041541541542,5.850041441441442,5.860041341341342,5.870041241241241,5.880041141141141,5.890041041041041,5.900040940940941,5.910040840840841,5.920040740740741,5.930040640640641,5.940040540540541,5.95004044044044,5.96004034034034,5.97004024024024,5.98004014014014,5.99004004004004,6.00003993993994,6.01003983983984,6.020039739739739,6.030039639639639,6.040039539539539,6.0500394394394394,6.0600393393393395,6.0700392392392395,6.0800391391391395,6.090039039039039,6.100038938938939,6.110038838838839,6.120038738738739,6.130038638638639,6.140038538538539,6.150038438438439,6.160038338338338,6.170038238238238,6.180038138138138,6.190038038038038,6.200037937937938,6.210037837837838,6.220037737737738,6.230037637637638,6.240037537537537,6.250037437437437,6.260037337337337,6.270037237237237,6.280037137137137,6.290037037037037,6.300036936936937,6.3100368368368365,6.3200367367367365,6.3300366366366365,6.3400365365365365,6.350036436436437,6.360036336336337,6.370036236236237,6.380036136136136,6.390036036036036,6.400035935935936,6.410035835835836,6.420035735735736,6.430035635635636,6.440035535535536,6.450035435435435,6.460035335335335,6.470035235235235,6.480035135135135,6.490035035035035,6.500034934934935,6.510034834834835,6.520034734734735,6.530034634634634,6.540034534534534,6.550034434434434,6.560034334334334,6.570034234234234,6.580034134134134,6.590034034034034,6.600033933933934,6.610033833833834,6.620033733733734,6.630033633633634,6.640033533533534,6.650033433433434,6.660033333333334,6.670033233233233,6.680033133133133,6.690033033033033,6.700032932932933,6.710032832832833,6.720032732732733,6.730032632632633,6.740032532532532,6.750032432432432,6.760032332332332,6.770032232232232,6.780032132132132,6.790032032032032,6.800031931931932,6.810031831831832,6.820031731731731,6.830031631631631,6.840031531531531,6.8500314314314315,6.8600313313313315,6.8700312312312315,6.8800311311311315,6.890031031031031,6.900030930930931,6.910030830830831,6.920030730730731,6.930030630630631,6.940030530530531,6.950030430430431,6.96003033033033,6.97003023023023,6.98003013013013,6.99003003003003,7.00002992992993,7.01002982982983,7.02002972972973,7.03002962962963,7.040029529529529,7.050029429429429,7.060029329329329,7.070029229229229,7.080029129129129,7.090029029029029,7.100028928928929,7.1100288288288285,7.1200287287287285,7.1300286286286285,7.1400285285285285,7.150028428428429,7.160028328328329,7.170028228228229,7.180028128128128,7.190028028028028,7.200027927927928,7.210027827827828,7.220027727727728,7.230027627627628,7.240027527527528,7.250027427427427,7.260027327327327,7.270027227227227,7.280027127127127,7.290027027027027,7.300026926926927,7.310026826826827,7.320026726726727,7.330026626626626,7.340026526526526,7.350026426426426,7.360026326326326,7.370026226226226,7.380026126126126,7.390026026026026,7.400025925925926,7.410025825825826,7.420025725725726,7.430025625625626,7.440025525525526,7.450025425425426,7.460025325325326,7.470025225225225,7.480025125125125,7.490025025025025,7.500024924924925,7.510024824824825,7.520024724724725,7.530024624624625,7.540024524524524,7.550024424424424,7.560024324324324,7.570024224224224,7.580024124124124,7.590024024024024,7.600023923923924,7.610023823823824,7.620023723723723,7.630023623623623,7.640023523523523,7.6500234234234235,7.6600233233233235,7.6700232232232235,7.6800231231231235,7.690023023023023,7.700022922922923,7.710022822822823,7.720022722722723,7.730022622622623,7.740022522522523,7.750022422422423,7.760022322322322,7.770022222222222,7.780022122122122,7.790022022022022,7.800021921921922,7.810021821821822,7.820021721721722,7.830021621621621,7.840021521521521,7.850021421421421,7.860021321321321,7.870021221221221,7.880021121121121,7.890021021021021,7.900020920920921,7.9100208208208205,7.9200207207207205,7.9300206206206205,7.9400205205205205,7.950020420420421,7.960020320320321,7.970020220220221,7.98002012012012,7.99002002002002,8.00001991991992,8.01001981981982,8.02001971971972,8.030019619619619,8.04001951951952,8.050019419419419,8.06001931931932,8.070019219219219,8.08001911911912,8.090019019019019,8.100018918918918,8.11001881881882,8.120018718718718,8.13001861861862,8.140018518518518,8.15001841841842,8.160018318318318,8.170018218218217,8.180018118118118,8.190018018018018,8.200017917917918,8.210017817817818,8.220017717717718,8.230017617617618,8.240017517517517,8.250017417417418,8.260017317317317,8.270017217217218,8.280017117117117,8.290017017017018,8.300016916916917,8.310016816816816,8.320016716716717,8.330016616616616,8.340016516516517,8.350016416416416,8.360016316316317,8.370016216216216,8.380016116116115,8.390016016016016,8.400015915915915,8.410015815815816,8.420015715715715,8.430015615615616,8.440015515515515,8.450015415415415,8.460015315315315,8.470015215215215,8.480015115115116,8.490015015015015,8.500014914914916,8.510014814814815,8.520014714714714,8.530014614614615,8.540014514514514,8.550014414414415,8.560014314314314,8.570014214214215,8.580014114114114,8.590014014014015,8.600013913913914,8.610013813813813,8.620013713713714,8.630013613613613,8.640013513513514,8.650013413413413,8.660013313313314,8.670013213213213,8.680013113113112,8.690013013013013,8.700012912912912,8.710012812812813,8.720012712712712,8.730012612612613,8.740012512512513,8.750012412412412,8.760012312312313,8.770012212212212,8.780012112112113,8.790012012012012,8.800011911911913,8.810011811811812,8.820011711711711,8.830011611611612,8.840011511511511,8.850011411411412,8.860011311311311,8.870011211211212,8.880011111111111,8.89001101101101,8.900010910910911,8.91001081081081,8.920010710710711,8.93001061061061,8.940010510510511,8.95001041041041,8.96001031031031,8.97001021021021,8.98001011011011,8.99001001001001,9.00000990990991,9.01000980980981,9.02000970970971,9.030009609609609,9.04000950950951,9.050009409409409,9.06000930930931,9.070009209209209,9.08000910910911,9.090009009009009,9.10000890890891,9.110008808808809,9.120008708708708,9.130008608608609,9.140008508508508,9.150008408408409,9.160008308308308,9.170008208208209,9.180008108108108,9.190008008008007,9.200007907907908,9.210007807807807,9.220007707707708,9.230007607607607,9.240007507507508,9.250007407407407,9.260007307307307,9.270007207207208,9.280007107107107,9.290007007007008,9.300006906906907,9.310006806806808,9.320006706706707,9.330006606606606,9.340006506506507,9.350006406406406,9.360006306306307,9.370006206206206,9.380006106106107,9.390006006006006,9.400005905905905,9.410005805805806,9.420005705705705,9.430005605605606,9.440005505505505,9.450005405405406,9.460005305305305,9.470005205205204,9.480005105105105,9.490005005005004,9.500004904904905,9.510004804804804,9.520004704704705,9.530004604604605,9.540004504504504,9.550004404404405,9.560004304304304,9.570004204204205,9.580004104104104,9.590004004004005,9.600003903903904,9.610003803803803,9.620003703703704,9.630003603603603,9.640003503503504,9.650003403403403,9.660003303303304,9.670003203203203,9.680003103103104,9.690003003003003,9.700002902902902,9.710002802802803,9.720002702702702,9.730002602602603,9.740002502502502,9.750002402402403,9.760002302302302,9.770002202202202,9.780002102102102,9.790002002002002,9.800001901901902,9.810001801801802,9.820001701701703,9.830001601601602,9.8400015015015,9.850001401401402,9.8600013013013,9.870001201201202,9.8800011011011,9.890001001001002,9.900000900900901,9.9100008008008,9.920000700700701,9.9300006006006,9.940000500500501,9.9500004004004,9.960000300300301,9.9700002002002,9.9800001001001,9.99]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.assign.js b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.assign.js index becc6fa7e94b..5f6bc3bbcf36 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.assign.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.assign.js @@ -32,10 +32,10 @@ var fresnel = require( './../lib/assign.js' ); // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -62,8 +62,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', functio for ( i = 0; i < x.length; i++ ) { y = fresnel( x[i], z, 1, 0 ); t.strictEqual( y, z, 'returns expected value' ); - t.strictEqual( isAlmostSameValue( y[0], S[i], 4 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValue( y[1], C[i], 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[0], S[i], 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[1], C[i], 5 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.main.js b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.main.js index 8a88b7140ffa..41c2f09558fb 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.main.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.main.js @@ -31,10 +31,10 @@ var fresnel = require( './../lib/main.js' ); // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -58,8 +58,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', functio for ( i = 0; i < x.length; i++ ) { y = fresnel( x[i] ); - t.strictEqual( isAlmostSameValue( y[0], S[i], 4 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValue( y[1], C[i], 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[0], S[i], 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[1], C[i], 5 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.native.js index 796204186ab4..89b74fd21be0 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnel/test/test.native.js @@ -40,10 +40,10 @@ var opts = { // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -67,8 +67,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', opts, f for ( i = 0; i < x.length; i++ ) { y = fresnel( x[i] ); - t.strictEqual( isAlmostSameValue( y[0], S[i], 4 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValue( y[1], C[i], 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[0], S[i], 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y[1], C[i], 5 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/lib/main.js b/lib/node_modules/@stdlib/math/base/special/fresnelc/lib/main.js index e135ad4ba40f..3dc70cdafc85 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/lib/main.js @@ -36,6 +36,7 @@ var sincos = require( '@stdlib/math/base/special/sincos' ).assign; var abs = require( '@stdlib/math/base/special/abs' ); +var fmod = require( '@stdlib/math/base/special/fmod' ); var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); var PI = require( '@stdlib/constants/float64/pi' ); var polyC = require( './rational_pcqc.js' ); @@ -101,6 +102,8 @@ var sc = [ 0.0, 0.0 ]; */ function fresnelc( x ) { var x2; + var hi; + var lo; var xa; var C; var f; @@ -113,7 +116,8 @@ function fresnelc( x ) { if ( x2 < 2.5625 ) { t = x2 * x2; C = xa * polyC( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: C = 0.5; } else { // Asymptotic power series auxiliary functions for large arguments... @@ -123,8 +127,13 @@ function fresnelc( x ) { t = 1.0 / t; f = 1.0 - ( u * polyF( u ) ); g = t * polyG( u ); - t = HALF_PI * x2; - sincos( t, sc, 1, 0 ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = fmod( hi*hi, 4.0 ) + fmod( 2.0*hi*lo, 4.0 ) + ( lo*lo ); + sincos( HALF_PI * t, sc, 1, 0 ); t = PI * xa; C = 0.5 + ( ( (f*sc[0]) - (g*sc[1]) ) / t ); } diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/manifest.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/manifest.json index cf30e3fbc204..fd0897a47c96 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/manifest.json @@ -38,6 +38,7 @@ "dependencies": [ "@stdlib/math/base/napi/unary", "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -55,6 +56,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -72,6 +74,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/src/main.c b/lib/node_modules/@stdlib/math/base/special/fresnelc/src/main.c index bd562eda9f26..6af6ef63817d 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/src/main.c @@ -32,6 +32,7 @@ #include "stdlib/math/base/special/fresnelc.h" #include "stdlib/math/base/special/abs.h" +#include "stdlib/math/base/special/fmod.h" #include "stdlib/math/base/special/sincos.h" #include "stdlib/constants/float64/pi.h" #include "stdlib/constants/float64/half_pi.h" @@ -194,6 +195,8 @@ static double rational_pgqg( const double x ) { */ double stdlib_base_fresnelc( const double x ) { double x2; + double hi; + double lo; double xa; double C; double f; @@ -208,7 +211,8 @@ double stdlib_base_fresnelc( const double x ) { if ( x2 < 2.5625 ) { t = x2 * x2; C = xa * rational_pcqc( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: C = 0.5; } else { // Asymptotic power series auxiliary functions for large arguments... @@ -218,8 +222,13 @@ double stdlib_base_fresnelc( const double x ) { t = 1.0 / t; f = 1.0 - ( u * rational_pfqf( u ) ); g = t * rational_pgqg( u ); - t = STDLIB_CONSTANT_FLOAT64_HALF_PI * x2; - stdlib_base_sincos( t, &s, &c ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = stdlib_base_fmod( hi * hi, 4.0 ) + stdlib_base_fmod( 2.0 * hi * lo, 4.0 ) + ( lo * lo ); + stdlib_base_sincos( STDLIB_CONSTANT_FLOAT64_HALF_PI * t, &s, &c ); t = STDLIB_CONSTANT_FLOAT64_PI * xa; C = 0.5 + ( ( ( f * s ) - ( g * c ) ) / t ); } diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/Makefile deleted file mode 100644 index 251fb942f599..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/Makefile +++ /dev/null @@ -1,123 +0,0 @@ -#/ -# @license Apache-2.0 -# -# Copyright (c) 2018 The Stdlib Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. -#/ - - -# VARIABLES # - -ifndef VERBOSE - QUIET := @ -endif - -# Specify the path to Cephes: -CEPHES ?= - -# Specify a list of Cephes source files: -CEPHES_SRC ?= - -# Determine the OS: -# -# [1]: https://en.wikipedia.org/wiki/Uname#Examples -# [2]: http://stackoverflow.com/a/27776822/2225624 -OS ?= $(shell uname) -ifneq (, $(findstring MINGW,$(OS))) - OS := WINNT -else -ifneq (, $(findstring MSYS,$(OS))) - OS := WINNT -else -ifneq (, $(findstring CYGWIN,$(OS))) - OS := WINNT -endif -endif -endif - -# Define the program used for compiling C source files: -ifdef C_COMPILER - CC := $(C_COMPILER) -else - CC := gcc -endif - -# Define the command-line options when compiling C files: -CFLAGS ?= \ - -std=c99 \ - -O3 \ - -Wall \ - -pedantic - -# Determine whether to generate [position independent code][1]: -# -# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options -# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option -ifeq ($(OS), WINNT) - fPIC ?= -else - fPIC ?= -fPIC -endif - -# List of C targets: -c_targets := runner.out - - -# TARGETS # - -# Default target. -# -# This target is the default target. - -all: $(c_targets) - -.PHONY: all - - -# Compile C source. -# -# This target compiles C source files. - -$(c_targets): %.out: %.c - $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $(CEPHES_SRC) $< -lm - - -# Generate test fixtures. -# -# This target generates test fixtures. - -run: $(c_targets) - $(QUIET) ./$< - -.PHONY: run - - -# Perform clean-up. -# -# This target removes generated files. - -clean: - $(QUIET) -rm -f *.o *.out - -.PHONY: clean - - -# Remove fixtures. -# -# This target removes fixture data. - -clean-fixtures: - $(QUIET) -rm -f *.json - -.PHONY: clean-fixtures diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/huge.json deleted file mode 100644 index 62667106b178..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/huge.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[41170.953782275319,40220.227865502238,41369.737219065428,41173.451552167535,42200.246462598443,59542.314102873206,47673.279931768775,44815.873289480805,40382.413994520903,47232.008902356029,48373.678494244814,56414.518300443888,58809.204017743468,46292.073419317603,50878.007709980011,46675.666766241193,57931.392453610897,52913.108170032501,50609.114794060588,47392.426803708076,44517.347775399685,43064.096495509148,58269.823994487524,40932.018337771297,44432.210214436054,52157.108709216118,44526.170939207077,51355.010671541095,43664.445457980037,48334.840945899487,43671.842962503433,52664.699526503682,55605.041058734059,53925.196267664433,40773.77961948514,44914.07074034214,50786.97138465941,56628.146385774016,49256.435837596655,52917.194925248623,59295.209739357233,54590.240381658077,58170.20870745182,46697.888346388936,51409.49017368257,59301.438368856907,59274.816429242492,51839.877124875784,52814.930444583297,40536.082405596972,49936.995059251785,51076.038610190153,54981.00814409554,45803.995057940483,47744.984226301312,49949.952056631446,48844.293672591448,46043.824460357428,58557.752519845963,40146.746290847659,46364.911422133446,55066.321603953838,59667.315557599068,48572.730487212539,41881.365673616529,40112.89119720459,57362.352292984724,49055.124074220657,49470.386290922761,48782.465653494,46900.307005271316,53459.891593083739,40398.110300302505,51039.820294827223,46259.781559929252,48148.726718500257,55650.021601468325,49913.178356364369,50788.712995126843,45899.39353056252,51107.11432993412,57270.630123093724,47480.613999068737,46679.540891200304,43043.810678645968,57326.099816709757,59759.755032137036,42202.979773283005,45481.06680624187,40289.855403825641,51599.774360656738,57407.770333811641,52396.136606112123,41868.035942316055,56080.097118392587,58192.394664511085,59577.268809080124,55157.02742151916,44159.992095082998,56987.174609676003,43443.797770887613,59909.162251278758,53290.113052353263,46930.174911394715,55449.790041893721,44621.355021372437,51113.88036981225,50987.462410703301,46280.822679400444,41786.821838468313,51114.653116092086,43975.009145215154,47978.73473726213,58594.791600480676,42662.574807181954,49894.805140793324,41990.078752860427,47253.614896908402,51505.629103630781,55108.4347628057,47463.176716119051,53611.126216128469,42198.420995846391,48861.694391816854,58497.7126121521,51056.017205119133,58481.252957135439,54418.595209717751,53329.802565276623,53991.818921640515,40500.725517049432,55693.76896135509,45175.056317821145,57171.574113890529,42646.266547963023,55801.892317831516,42404.309464618564,49229.190656915307,55007.442999631166,50094.612250104547,40148.166511207819,50234.555024653673,52166.379448026419,40339.478198438883,45610.083816573024,48678.749045357108,43735.273238271475,58737.344853579998,58555.100755766034,55578.547371551394,48645.795583724976,49886.443326249719,41453.06165330112,41607.218403369188,52519.717998802662,58900.503851473331,40768.37963424623,54156.518783420324,48611.303735524416,50181.950349360704,48039.601389318705,41580.613199621439,45366.058405488729,47343.663042411208,44944.811277091503,47443.172773346305,57404.859876260161,43480.07651977241,49646.095046773553,41919.526616111398,41483.852006494999,59100.684765726328,45209.007048979402,47781.512960791588,43888.392923399806,52219.894006848335,59758.668728172779,43945.469036698341,51498.130662366748,49082.132382318377,43399.02070350945,47340.990481898189,40027.086716145277,55246.438458561897,46891.292370855808,41950.930906459689,49295.760132372379,53840.617528185248,59258.904522284865,44408.456766977906,52932.917093858123,43537.697689607739,58085.096916183829,56224.011834710836,56967.032952234149,44922.960987314582,40205.352324992418,51356.527749449015,49161.973865702748,45294.832568615675,50251.022158190608,48929.492933675647,57987.806163728237,41058.334559202194,47428.944790735841,58275.15603043139,50547.546483576298,52613.832009956241,40674.690054729581,59515.755111351609,41296.309223398566,47069.127801805735,50831.020269542933,56957.754967734218,48987.875422462821,59222.295666113496,49123.410806059837,57165.488842874765,40371.116539463401,57355.681657791138,56941.758319735527,40132.212387397885,42093.596030026674,47068.493040278554,40162.583282217383,52537.225494161248,53148.978482931852,54881.465537473559,52791.404780000448,45140.237575396895,51972.96991944313,49705.529781058431,40839.106207713485,42858.039606362581,55071.686496958137,49835.072327405214,58060.683663934469,45910.481093451381,57455.783886834979,59359.922641888261,42219.993732869625,51434.68570895493,42762.799896299839,54377.878727391362,49007.883789017797,55502.912513911724,57450.742637738585,54631.649041548371,54125.55580958724,48216.60228073597,56434.596627950668,56265.65458253026,56856.695879250765,50487.774489447474,48025.926221162081,51742.061879485846,48834.100412204862,54725.697059184313,54790.588952600956,45428.642118349671,59188.12558054924,54826.782457530499,53732.879748567939,48510.0416559726,48270.178530365229,56890.62456600368,40727.213015779853,42269.161902368069,57804.11085113883,53691.214425489306,48240.956347435713,45753.395846113563,57324.030650779605,44983.283234760165,54041.36560857296,53231.893172487617,48428.653553128242,40380.333391949534,52263.321466743946,49643.987538293004,46498.631564900279,42500.762138515711,50309.281600639224,48095.942623913288,48507.743468508124,49644.541796296835,55814.045835286379,46668.477421626449,57100.077457726002,41001.965831965208,40039.745680987835,48005.660669878125,51138.941291719675,52186.377104371786,56440.088544040918,48568.288357928395,47222.498757764697,48536.678273230791,55951.804993674159,41986.65352538228,49685.816643759608,49520.407468080521,49488.390535116196,51379.797952249646,40264.272522181273,41628.282368183136,46541.774794459343,47609.021672978997,44827.317306771874,52722.012689337134,58867.369247600436,43875.092081725597,48672.647885978222,41193.087510764599,52221.80275246501,51838.956326246262,57339.067868888378,57713.808100670576,55972.88659773767,56305.173179134727,41045.749327167869,55908.949887380004,41720.881704241037,42858.816646039486,48131.392356008291,44311.39106862247,41549.724079668522,46212.619114667177,55489.508826285601,52174.964603036642,44630.178520455956,59410.42953170836,51089.291330426931,57719.477266073227,51254.549566656351,55214.654868468642,52704.493422061205,44421.044010668993,44486.721912398934,48335.216799750924,49988.81864361465,42075.021406635642,54884.797558188438,48792.676962912083,58521.784469485283,55631.723590195179,42378.502748906612,55495.719481259584,56557.442797347903,40941.224610432982,59162.034904584289,56320.791309699416,43539.669848978519,51231.179479509592,42433.600015938282,41515.486920252442,50788.680538535118,45353.895593434572,42923.280755057931,51579.673131927848,59566.418929025531,52803.093260154128,41588.523611426353,58316.349666565657,42888.989318162203,55243.492955341935,57386.219725012779,50195.054356008768,48278.641225770116,59123.146301135421,42720.032846555114,55592.073332518339,55976.62165760994,59080.324480310082,43013.689899817109,51086.169807240367,45256.03705085814,58214.754899963737,55385.7462387532,48237.155135720968,41866.430528461933,49097.906462848186,48513.992289081216,54668.469214811921,52962.208138778806,55832.289895042777,53296.389887109399,52424.936704337597,45911.287041381001,51001.350749284029,59702.129308134317,53687.436003237963,44737.013541162014,54986.623376607895,40179.207939654589,51947.843171656132,47400.279529392719,56498.10841307044,43708.227593451738,44181.192163378,53296.722611412406,58017.034064978361,52291.671093553305,46116.165546700358,54394.391253590584,46533.911749720573,55454.828683286905,49305.800953879952,42596.704689785838,42815.741552039981,44168.287171050906,56402.516467496753,57094.397582113743,45540.29637016356,55761.136692017317,57424.506079405546,53673.812933266163,55774.076413363218,54902.402842417359,44684.68913808465,55570.380445569754,51384.270545095205,55435.140505433083,58406.595606356859,59652.50008739531,59569.122651591897,58244.55845169723,56294.040456414223,53938.078470528126,57284.963242709637,48377.355495467782,58213.877882808447,40645.718909800053,52597.722057253122,49914.714843034744,56612.444473430514,45354.394959285855,51316.122617572546,50072.92210124433,55601.834440603852,40031.565334647894,50518.579669296741,45768.584189936519,52594.525404274464,56188.568202778697,41265.910798683763,56162.803377956152,48236.499801278114,50852.224538102746,53337.896820157766,50031.960774213076,47164.810709655285,58973.653241991997,50190.186649560928,46467.098919674754,52531.593581661582,58493.425054475665,58995.035300031304,49558.436283841729,48638.697331771255,50586.122684180737,40964.035876095295,42550.977077335119,54271.758729591966,45449.079945683479,42686.689747497439,55194.607209414244,55763.487536460161,56935.148648917675,49043.474895879626,53682.645820081234,44228.405188769102,46806.040732190013,49126.639179885387,51424.767756834626,56071.77852652967,58381.821159273386,43268.36776919663,51457.122461870313,59857.306312769651,41747.354129329324,47780.865309759974,53003.322025761008,46833.388730883598,48764.453437179327,44168.987264856696,48168.993070721626,56266.603544354439,52805.897267535329,48715.475685894489,40999.921038746834,45672.906041145325,44531.877925619483,47272.331351414323,46073.080133646727,50257.853725925088,43747.651902958751,46785.562355071306,44946.554787456989,56746.35149538517,55929.713994264603,50703.226272016764,49124.037548899651,47699.155760928988,59710.934180766344,41670.930404216051,43327.316734939814,42212.390173226595,43641.658732667565,45358.348442241549,57762.310681864619,51155.769107863307,55011.48316077888,57997.600687667727,45674.89848472178,58018.877124413848,43267.971044406295,44789.368910714984,54923.319863155484,56237.056842073798,56214.471803978086,56627.73635238409,42365.0046531111,48633.223343640566,58584.804125130177,54803.076507523656,55306.977797299623,44375.959010794759,46743.128672242165,51763.647142797709,51617.621062323451,57357.2853859514,43895.617527887225,53643.821682780981,51711.12927608192,48949.834760278463,59872.886035591364,43595.755714923143,53866.328848525882,51389.065692201257,56027.177954092622,48779.999865218997,45457.803448662162,49302.6043754071,48871.810268610716,48515.253970399499,55873.54714050889,46706.914762035012,43116.45801179111,58309.828555211425,53288.670731708407,42689.091823995113,55566.306924447417,42920.601014047861,46541.265957057476,59056.991450488567,50855.457503348589,47674.34373497963,42695.213863626122,58459.427049383521,47590.563455596566,54600.057611241937,43168.386407196522,51070.37054374814,59717.815406620502,57323.693381622434,59314.800500869751,43852.169280871749,43409.13375839591,57311.104033142328,47725.620502606034,44503.847761079669,56169.355707243085,58361.498173326254,41699.942797422409,50938.609577715397,45211.258269846439,45617.782091721892,58063.659528270364,55925.833005458117,45475.447373464704,45844.048671424389,40926.066366955638,44397.436669096351,47718.13191473484,58643.15134473145,55444.796802476048,40699.980091303587,44565.400015562773,50678.097289055586,46781.22072480619,51976.774884387851,53655.575634911656,49259.802829474211,49506.227439269423,51164.646195247769,44208.690905943513,55468.089124187827,52174.031278118491,48943.786611780524,58221.654184162617,51342.015825212002,45260.063102468848,45880.604358389974,55317.497476935387,41180.214732885361,55869.024833664298,50700.503587722778,43363.882601261139,56774.90571513772,55840.485598891973,51041.584545746446,55911.54676862061,45366.664733737707,57534.221922978759,57667.996725067496,46021.096482872963,56568.634761497378,49044.56615447998,52023.429125547409,57773.407166823745,57654.391899704933,57364.796502515674,50134.953679516912,58166.570952162147,45558.135164901614,55577.759994193912,55412.344327196479,55271.227806806564,43525.868514552712,59272.151673212647,47053.32251265645,45191.525416448712,53967.714877799153,55384.060479700565,59904.602719470859,56658.061919733882,52046.815333887935,50825.410932302475,42681.623930111527,50053.414367139339,47735.34718900919,47980.266213417053,44334.311354905367,46770.975813269615,59790.546605363488,59716.951223090291,42799.360789358616,48856.80865496397,56383.133288472891,51321.307579055429,57216.569781303406,58888.449100777507,58164.184587076306,45450.497148558497,46505.618477240205,59929.797882214189,40113.162351772189,41919.647119939327,43509.159842506051,58449.500454589725,40754.284681752324,57262.652106583118,53394.090440124273,54478.131989017129,53964.452715590596,40556.900221854448,59822.033056989312,48909.743949770927,46066.633528098464,41909.754229709506,57239.353666082025,41817.200761288404,41693.209195509553,57766.962172463536,49333.371641114354,45977.245252579451,59561.006873846054,41842.68182143569,49953.387286514044,46580.202337354422,53460.735408589244,54580.117501318455,48034.958764910698,43552.024737000465,58879.782557487488,52505.591446533799,41475.539766252041,59396.862937137485,43075.536275282502,50538.202738389373,55573.506578803062,43925.191825255752,50699.037788435817,58728.193966671824,44756.144424900413,56519.386516883969,41329.31855507195,41856.965497136116,50019.124895334244,51432.194290682673,40889.532975852489,50380.732109770179,48964.650146663189,48875.085124745965,43555.761063471437,41676.221592351794,52256.31576962769,51899.236049503088,50460.377121344209,47558.360295370221,53361.54343560338,47460.626754909754,50753.92815284431,41270.549017935991,54117.354387417436,50375.29980763793,57663.94816339016,57976.920334622264,58100.20468197763,50140.231652185321,46873.457636684179,42202.553544193506,58317.43448972702,41121.612200513482,50936.262803152204,45769.018167629838,59888.388495892286,44145.606113597751,55201.98367536068,59739.750754088163,45991.078447550535,52055.514864623547,57038.42407092452,44793.493375182152,44243.194200098515,55364.954257383943,58786.324094980955,41749.211372807622,58995.556458830833,58317.552227526903,43100.431403145194,48950.616922229528,53018.681956455112,44987.744027748704,49013.913404196501,56842.654868960381,54500.51442719996,50146.091431379318,45358.766596764326,44790.233755484223,49458.765909075737,53478.707857429981,56643.065307289362,59998.749857768416,58989.016022533178,48392.439326271415,51727.822320535779,49509.83302667737,51763.753788545728,53410.016149282455,42141.525940969586,52626.506630331278,53697.034791111946,46063.841413706541,54982.687616720796,54030.891479924321,57193.212890997529,46329.193552955985,54756.094058975577,45672.964686527848,45517.530869692564,53141.370099037886,47007.357375696301,52655.468164011836,40453.531593084335,42505.488516762853,49745.520837605,52968.793893232942,46519.065061584115,45926.541062071919,47375.676622614264,42997.054001316428,51486.623575910926,55682.530226185918,56285.63423641026,52654.738798737526,48195.089418441057,54867.919869720936,45129.366759210825,49267.162196338177,53195.106377825141,50152.995372191072,41393.29987578094,57191.023146733642,49526.161691173911,46199.618112295866,56981.661869212985,50791.168762370944,47173.473620787263,44571.200711652637,48170.396517962217,59854.341326281428,51914.82619382441,52483.932850882411,57459.522476419806,42194.397831335664,41244.368432089686,54100.247863680124,42865.955224260688,48109.476575627923,55972.870038822293,56026.867488399148,43562.002955004573,46583.692636340857,52122.190501540899,57655.854262411594,41942.726531997323,51404.838478192687,41120.392242446542,50432.427562773228,57810.129169374704,54841.089062392712,54183.987779542804,50282.721780240536,41705.040978267789,56623.735083267093,55115.674566477537,49142.557084560394,58956.991750746965,50160.503163933754,47576.755750924349,42533.965082839131,48351.167105138302,58065.601410344243,48563.045039772987,59098.050473257899,40934.453513473272,45360.208256170154,49020.203398540616,42558.589866384864,42219.904353842139,49932.492394000292,55399.743691086769,43492.336617782712,55701.562399044633,56159.363621845841,50424.518827348948,44888.012837618589,52831.800105050206,44064.466003328562,51480.149747803807,46876.901183277369,40078.241163864732,54999.241679906845,52255.031578242779,50315.831433981657,58178.991656750441,54312.917273491621,57200.727583840489,52628.636220470071,49489.056272432208,42568.845031782985,54578.469274565578,40333.211719989777,40289.380475878716,43617.660356685519,42017.643125727773,50528.029892593622,44598.48721511662,46774.660451337695,41718.258652836084,58773.191655054688,41032.293429598212,49755.679331719875,43702.604565769434,49674.965860322118,47151.290150359273,51733.613051474094,46834.647953510284,49928.208133205771,43394.172489643097,45857.059992849827,59607.345657423139,40658.61776471138,49388.77665437758,57169.303596019745,44485.672675073147,50700.685055926442,46413.818700239062,57050.945106893778,55234.54500362277,46997.995115816593,55303.966291248798,53761.576786637306,50821.160711348057,51248.160311952233,47830.45100979507,46390.182906761765,59804.163947701454,48583.624009042978,44968.787161633372,50405.864454805851,51363.97335678339,54300.296390429139,45081.545859575272,45541.301649063826,52656.859178096056,43832.305315881968,49555.474016815424,58851.875392720103,43469.872986897826,58155.317939817905,56428.756602108479,58112.340206280351,54101.988701149821,52124.210586771369,51607.426749542356,46021.470399573445,42853.052755817771,51257.689353078604,47985.045295208693,44656.339064240456,59090.689122676849,57212.234232574701,46020.881589502096,52956.921877339482,46986.093847081065,55279.342560097575,59910.527132451534,56229.670932516456,52079.489817842841,59985.463013872504,55677.030561491847,43852.769685909152,53500.141222029924,56873.624306172132,55003.845887258649,49637.944577261806,44934.585466980934,55577.982161194086,59146.305099129677,51949.950912967324,42825.087765231729,41250.092359259725,50302.291857078671,50619.322545826435,58954.110806807876,41740.478361025453,52219.827370718122,58638.715287670493,40887.985751032829,44376.524556428194,56248.2541333884,44407.347021624446,54281.426928937435,47942.506419494748,49705.454604700208,59575.617145746946,47397.521771490574,50148.471333086491,45357.7746078372,48117.875847965479,57139.440281316638,42572.942227125168,43440.031427890062,56608.235463500023,54613.565020263195,50187.409929931164,59798.772074282169,57962.40740455687,54181.388961151242,46604.381054639816,59832.437010481954,43768.990384414792,45421.420354396105,57811.938757076859,45254.829591140151,57920.979410409927,57901.091007515788,43636.703416705132,42074.353024363518,43651.296710595489,47343.84355135262,47978.625055402517,56751.368585973978,40251.955566927791,54617.215320467949,51538.00549916923,59258.514828979969,57858.881382271647,54219.53160315752,47667.765552178025,52135.695461183786,44633.711092174053,58782.36242569983,55165.43572768569,45478.393901139498,55366.339320316911,42065.07682800293],"C":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/large.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/large.json deleted file mode 100644 index 59ec78614218..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/large.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[55139.00781981647,41304.546138271689,45506.956139579415,55411.881003528833,47484.146924689412,46057.421825826168,47088.674064725637,59345.061313360929,52445.645052939653,53956.50215446949,46931.819394230843,43088.613087311387,50320.182610303164,51309.212129563093,53928.350070491433,53779.743751510978,56153.339482843876,49176.814574748278,54722.629608586431,43235.946735367179,46556.806638836861,40249.230246990919,48812.763122841716,56109.874565154314,58661.942621693015,51269.788844510913,51341.197891160846,51513.045495375991,59755.73088042438,54569.061901420355,42223.491193726659,50216.5103610605,48889.718297868967,49495.501853525639,50899.726515635848,51703.633591532707,42969.864485785365,54512.435831129551,50509.127369150519,46903.775557875633,51755.855241790414,40659.140776842833,58179.041547700763,55151.434475556016,50159.34924595058,48182.856198400259,49264.190550893545,43250.661371275783,53865.692466497421,40693.392939865589,53855.145741254091,43434.581691399217,45014.514224603772,58940.612152218819,54868.590570986271,56401.842925697565,45774.180563166738,46652.770331129432,53111.007353290915,56700.689364224672,48486.275225877762,48827.787740156054,48628.617888316512,41180.916465818882,47663.050256669521,52885.723812505603,50360.217625275254,44177.709082141519,54756.576241925359,53777.013523504138,50266.397353261709,47340.396614745259,50045.961467549205,42474.463721737266,48311.790600419044,56264.686286449432,40582.543648779392,50811.109589412808,42318.95387172699,54657.740257680416,52640.625545755029,50993.646429851651,50215.632552281022,54136.386131867766,50241.828933358192,54418.963100761175,59512.947332113981,54105.963548645377,58929.472472518682,47643.993766978383,52603.301424533129,43687.140764668584,49774.860637262464,46082.806969061494,53736.776616424322,54004.699746146798,56988.743087276816,49805.200817063451,56010.209117084742,43584.756143391132,48996.530026197433,44680.220708250999,40469.480203464627,50553.783299401402,57435.995629057288,46778.674023225904,49174.36140589416,53492.220658808947,43752.718195319176,51934.738093987107,47143.239043653011,56418.662574142218,48462.01210282743,41037.478446960449,56900.266176089644,42773.753805086017,58480.223780497909,57121.223453432322,56402.715826407075,40445.022797212005,59498.15621599555,45511.674834415317,54718.98514777422,41983.493836596608,56580.927195027471,55643.496587872505,40247.274804860353,55947.647215798497,52106.880731880665,40344.555471092463,50943.805342540145,52536.477716639638,40581.081677228212,46239.753719419241,51540.81110842526,46412.389623001218,53032.443961128592,56285.756677389145,54712.604330852628,54741.103779524565,53731.337832286954,42595.054712146521,55084.567349404097,46323.559489101171,40064.382813870907,42081.953231245279,51387.973828241229,57676.220368593931,44235.87329685688,52322.53341935575,44819.275550544262,57564.215706661344,41773.51932041347,47539.23206590116,51873.390600085258,56075.908550992608,47795.142345130444,52957.455608993769,55956.521760672331,41261.356500908732,59618.720635771751,51837.878953665495,59231.666894629598,46625.64855068922,57275.24328045547,45013.949815183878,49454.583032056689,43177.093770354986,57415.023213252425,54295.281423255801,40794.992540031672,41439.626533538103,55803.16043458879,43717.547813430429,40826.129419729114,44757.163850590587,53652.874100953341,43855.12157343328,53028.314858675003,46887.93171197176,45468.337014317513,46340.242428705096,40454.548867419362,59602.818265557289,44566.742638126016,53243.554718792439,44424.262391403317,58578.046932816505,41234.945245087147,55724.743837490678,45769.799770787358,53024.792773649096,47692.248653620481,43623.181600123644,54813.18162754178,45143.730025738478,50670.582838356495,40485.84776930511,45643.4625107795,49674.462834373116,58696.933016180992,59353.349274024367,51741.399988532066,57709.699142724276,46913.630366325378,57385.62093116343,40131.126129999757,43836.867930367589,46239.335713908076,44515.392482280731,50201.485026627779,56358.922366052866,44408.334279432893,50874.268924817443,43837.904511019588,43661.146741360426,52893.310692161322,57872.904054820538,49898.589244112372,45589.503264054656,42781.402710825205,47035.38260422647,43675.484294071794,53864.559223875403,41646.984182298183,40863.164775073528,47210.381412878633,44880.462680011988,45936.301155015826,51413.55880536139,47682.931032031775,47021.91548421979,57333.598230034113,45785.587839782238,58374.868491664529,46414.883211255074,54942.181762307882,53248.996045440435,55876.63940154016,58678.54593321681,50321.645755320787,55900.290450081229,56181.718949228525,46150.50632506609,51559.85351651907,46458.142604678869,42002.807380631566,41183.661948889494,53806.384243071079,43900.081347674131,48667.2408785671,50317.513905465603,46456.289906054735,50864.501586183906,59678.244013339281,52247.286196798086,40139.205437153578,59625.783320516348,50540.421511977911,52864.434299990535,52547.380616888404,43826.126242056489,45703.780185431242,43433.621181175113,48871.218878775835,58575.765006244183,42882.605325430632,47947.72706925869,57448.915224522352,43918.315107002854,55122.03405611217,56026.499420404434,57375.884158536792,56485.188510268927,46563.421105965972,51418.579332530499,52062.931200489402,41684.781033545732,56114.843981340528,42182.920509949327,48345.027798786759,54882.279513403773,46471.898248419166,53193.911826238036,50076.166838407516,50136.131970211864,57970.102671533823,43515.741107985377,49060.829421505332,45360.158151015639,48178.086066618562,49092.585658654571,59087.236160412431,59178.29742655158,49644.998144358397,43483.887715265155,53700.857721269131,50315.828593447804,58131.250804290175,51932.409601286054,48008.262198418379,54862.831486389041,59608.908053487539,46917.808428406715,47606.310369446874,59258.438814431429,56581.304864957929,41990.995118394494,42654.970437288284,42088.160282000899,55709.875924512744,55884.786229580641,55602.284874767065,47602.012315765023,47021.050555631518,42796.743446961045,44867.134960368276,41937.317000702024,40486.845960840583,42420.06765678525,54077.126523479819,54265.590291470289,41776.140388101339,51591.516714543104,58621.512036770582,51752.947736531496,51792.699862271547,59906.677482649684,51528.606684878469,41292.642978951335,45450.557349249721,47517.411494627595,45135.049037635326,44769.215723499656,56208.702176809311,59657.612480223179,45493.10895614326,42682.2688896209,40893.248850479722,52833.43699760735,51575.719220563769,53113.030605018139,50705.481162294745,47021.978469565511,58392.192935571074,57586.812078952789,41550.748599693179,43431.727178394794,57038.714131340384,49668.538784608245,59131.428571417928,41920.149549841881,51953.499214723706,42461.395412683487,48672.720231115818,42408.992238342762,47932.568676769733,42681.812550872564,53223.563497886062,48431.812459602952,53472.074531018734,45156.748266890645,49468.16198527813,51398.560665547848,55609.195064753294,43741.575470194221,44658.956835046411,43087.563086301088,52672.8156208992,52012.239629402757,49711.545379832387,41943.274848163128,40620.388286188245,46865.930818021297,55699.312211945653,58340.469030663371,48263.141894713044,58625.889103859663,45318.314339965582,44909.153422340751,48141.607698053122,56000.644890591502,42838.801397010684,51735.101770609617,51855.550473555923,56236.901832744479,53609.230006113648,50328.819258138537,56465.352363884449,53177.308663725853,51026.814365759492,47669.131616130471,55095.132319256663,43889.00788500905,42555.553782731295,51192.446360364556,51446.066237986088,54035.351406782866,52151.203639805317,45279.669305309653,55402.055652812123,42349.477354437113,47665.914408862591,41023.529749363661,42464.505564421415,40945.040518417954,43296.000445261598,55879.509299993515,46912.929266691208,45602.239379659295,56837.297771126032,44463.771088048816,42600.711770355701,50162.744717672467,45250.549456104636,45984.749840572476,45690.617337822914,42205.641325563192,50213.775997981429,42933.278009295464,59603.525176644325,56447.7972779423,58128.979094326496,53751.780223101377,46170.31728848815,44522.715909406543,53286.324786022305,43260.782659053802,43974.176235496998,53980.02109490335,42214.651452377439,41646.977439522743,40749.838948249817,42543.209102004766,43715.397296473384,44682.390904054046,56943.961074575782,57153.91299687326,45815.872699022293,47372.497981414199,49573.631323873997,44021.735275164247,53304.801154881716,53793.114218860865,40870.784344151616,55272.478964179754,44554.070495069027,40262.846266850829,57657.209010794759,44711.982617154717,54291.883390396833,43684.254251420498,41261.232458055019,57533.932393416762,52801.873376592994,41085.940590128303,51403.506780043244,58738.54142613709,58665.895732119679,57709.715813398361,47193.814385682344,46438.436461612582,50801.660707220435,43511.590790003538,59306.435063481331,43254.263028502464,54398.745503276587,59715.786250308156,43219.663230702281,52879.943605512381,53212.278643622994,58767.2667670995,41452.701520174742,55554.460939019918,43825.123840942979,48856.42466135323,49929.352672770619,42630.448965355754,49955.781316384673,46816.662391647696,47644.869768992066,47326.267277821898,52574.195684865117,54506.973931565881,58710.981355980039,55463.796388357878,40026.020156219602,57320.765778422356,50110.573498532176,48408.86895544827,47860.600026324391,53104.703947901726,50759.354941546917,52478.586779907346,47608.107561245561,49463.841393589973,58782.376125454903,55395.687511190772,55320.121068507433,45274.918302893639,55551.958009600639,41758.389072492719,53245.155140757561,51322.554368525743,58171.360418200493,46054.690908640623,41190.148908644915,42832.716908305883,49473.100062459707,54392.82389357686,40191.291989758611,55044.473363086581,52463.931133970618,41290.666190907359,52226.680675521493,53822.209173813462,49869.692455977201,59921.184843406081,55353.819029405713,51636.547381058335,55451.924512162805,40495.396852493286,46134.903728961945,49327.020673081279,59236.52546480298,48283.637491986156,43095.392640680075,44264.13613371551,47336.032725870609,56702.081114053726,51877.414612099528,43707.478512078524,51591.381514444947,56349.203987047076,41071.538254618645,49343.453757464886,55427.374830469489,47888.896437361836,48682.484477758408,46516.685634851456,45935.515947639942,58216.578429564834,46033.808263018727,50215.523773804307,52308.146273717284,43014.518693089485,45015.698345378041,58842.130014672875,59679.30406332016,50063.546234741807,58021.646058186889,49805.440986528993,40046.737333759665,45514.368861913681,59997.505331411958,58072.261540219188,40499.847903847694,40943.723879754543,41167.254419997334,58045.046022161841,43088.635699823499,50700.231101363897,58784.204358235002,46122.79586493969,45830.14995791018,47330.388221889734,41834.902670234442,59209.192981943488,48906.597858294845,53190.274061635137,48936.257129535079,51673.646029084921,58968.902183696628,50339.149842038751,50091.476058587432,47438.195655122399,53754.433849826455,50769.821675494313,48392.984317615628,40887.491852045059,56075.564259663224,42008.637972176075,59178.414074704051,51605.503642931581,53699.817573651671,52834.067577496171,42173.875421285629,56324.222553521395,41208.584792912006,52684.62392501533,50474.407002329826,43358.570132404566,47488.241605460644,54876.721575856209,53059.641839936376,53400.50601400435,42304.682247340679,54794.549085199833,51986.5907356143,58630.58727234602,44280.432127416134,41222.79898263514,51582.510713487864,47257.652236148715,59361.189743503928,43516.170596703887,56279.246313497424,45292.918356135488,58078.852985054255,51282.261293381453,40965.646160766482,49615.031555294991,59835.425084456801,53989.54969830811,42361.888950690627,56267.612734809518,49767.36125536263,40040.695322677493,43966.28855727613,41411.81318089366,48344.142325222492,40000.12531876564,42106.232494115829,59449.54507984221,48504.309123381972,51923.503233119845,58318.932354450226,46296.224612742662,40647.115642204881,56072.603594511747,52248.738743364811,44552.155593410134,48079.094067215919,45334.050925448537,49393.945755437016,44046.385148540139,47595.223179087043,52916.030352935195,59722.24285826087,51735.873138532043,44819.931155070662,48582.960991188884,53825.446078553796,44272.350454702973,45394.125627353787,59069.461142644286,40433.573666960001,47072.623986750841,49591.400669887662,42671.133866533637,53746.91572971642,44412.776930257678,45541.901374235749,42736.440151929855,51349.654896184802,53649.928998202085,54356.779605150223,54394.936114549637,55691.389888525009,45189.979244023561,47981.194918975234,59943.065671250224,43104.892782866955,43933.025943115354,42367.056719958782,43122.310871258378,56678.837668150663,41224.819142371416,45535.33541969955,52382.442206144333,51706.255571916699,47037.48881816864,59074.622029438615,47172.59805649519,49855.591645464301,42928.862450644374,45391.230899840593,50417.775809764862,51558.116246014833,57259.837221354246,46084.314379841089,59071.829598397017,40240.209521725774,57201.433517038822,44493.25549416244,58145.125545561314,45125.186257064342,59005.46258315444,44809.783818200231,58036.670126020908,42314.949193969369,47351.121157407761,50293.350080028176,40334.875592961907,48254.093527793884,46549.986228346825,45618.591085076332,51660.410845652223,56525.17412789166,58601.696798577905,58718.239273875952,57447.622520849109,42191.844461485744,58329.881336539984,50315.766679123044,57090.656748041511,42668.098090216517,42724.623149260879,52741.29094555974,42877.021739259362,54104.394242167473,52554.138489067554,57405.684003606439,57331.184828653932,45223.550824448466,52218.74738112092,40487.330127507448,50557.456826791167,59176.97049677372,47343.289358541369,58664.306467399001,50998.943643644452,59245.904805138707,45922.210589051247,54593.416526913643,51551.682045683265,49120.232202112675,43742.692284286022,43429.251285269856,55426.378361880779,51141.248857602477,50969.636915251613,46687.72048316896,40518.212961032987,49605.240132659674,55270.984778180718,59441.286390647292,49700.519759207964,56635.668920353055,55687.674563378096,42746.509471908212,40584.7158562392,47319.400385022163,57162.328343838453,47252.609208226204,54603.019412606955,52947.381967678666,46648.83210323751,46921.211145818233,44795.781932771206,42706.981617957354,56240.074187517166,46926.996698603034,42033.567633479834,58171.231802552938,43893.047720193863,50453.063761815429,44642.726639285684,50306.662805378437,44081.850657239556,43664.028169587255,41321.474928408861,50029.132105410099,59623.374110087752,50048.82181994617,50548.406476154923,47067.727288231254,47292.588613927364,46536.891348659992,45532.948086038232,52258.525341749191,49035.514714196324,59895.872203633189,49924.282170832157,57410.522839054465,58657.492240890861,56472.238665446639,48915.379075333476,40776.188904419541,45406.922651454806,54149.045310914516,43004.65127453208,59173.994567245245,57326.841745525599,52229.352649301291,58730.072509497404,56328.813703730702,58372.046388685703,58983.798418194056,40700.163161382079,47642.258824780583,43444.127896800637,45457.588480785489,45689.639272168279,45767.291858792305,50874.315854161978,44626.646004617214,40039.435811340809,42797.681512311101,40633.19930806756,42180.77564612031,52296.301405876875,43937.824806198478,43021.548595279455,43167.264508083463,52214.612141251564,50986.353605985641,47645.141780376434,51897.962614893913,49057.761635631323,53799.880938604474,54599.043121561408,46117.858337238431,42845.121845602989,57962.881308048964,42146.284962072968,52611.374352127314,59368.834896013141,52008.248874917626,42638.934720307589,52575.864857062697,42560.751074925065,58543.336298316717,57853.31092774868,40596.902398392558,52138.614449650049,53693.150263279676,40776.582108810544,52015.508851036429,44657.353404909372,56138.71275447309,43345.390735194087,45982.11258649826,41366.288093850017,43204.004028812051,49695.73731534183,56257.134824991226,53665.130855515599,49854.395594447851,42826.833007857203,50582.385174930096,58147.717863321304,48694.270867854357,44610.544070601463,49414.230678230524,44975.082697346807,56214.933237060905,44383.042184635997,45790.031477808952,53059.092843905091,44173.529716208577,44513.972979038954,46343.894032761455,41827.058270573616,47368.3678265661,40158.118763938546,57502.066744491458,57235.911637544632,43967.027105391026,53824.591347947717,49906.893149018288,45153.233082965016,50388.465719297528,58943.42552870512,42153.00920419395,45625.711735337973,51337.179848924279,43981.809597462416,42273.935712873936,58037.544060498476,57003.165958449244,52210.396723821759,40137.832835316658,56556.464238092303,44494.579192250967,40392.519338056445,57072.517778724432,57806.440629065037,52847.792049869895,52841.082708910108,40077.189151197672,57318.064775317907,44714.814303442836,41884.034862741828,44973.95284473896,57225.500447675586,48986.158892512321,50372.576778754592,51898.00170250237,49714.707070961595,55081.817675381899,40109.788179397583,45209.931991994381,43327.030222862959,57396.981688216329,51071.370001882315,56515.708277001977,59509.140821173787,50129.934148862958,53803.319213911891,52386.136241257191,53791.903741657734,40526.293981820345,45422.956570982933,43631.130950525403,48417.913895100355,59878.90082411468,44686.306472867727,42752.926163375378,48430.049391463399,43840.18830023706,42044.792138040066,46821.480039507151,48615.077380090952,53605.594607070088,49228.667505085468,46214.830195531249,52651.144927367568,47792.893275618553,55157.344304025173,49485.836373642087,48452.006038278341,52865.551486611366,51323.936162516475,41395.172039046884,48656.471176072955,49311.124002560973,52061.183908954263,52318.052183836699,49503.150144591928,59444.554522633553,44628.014080226421,43032.68258459866,50296.223079785705,48621.382536366582,59576.356178149581,59818.439362570643,48510.52182726562,56340.417452156544,53396.246274933219,50711.247641593218,43939.196085557342,46068.640789017081,55645.788498222828,58767.412072047591,43894.841782748699,40605.873139575124,42909.861579537392,46043.590055778623,54618.114763870835,46654.950780794024,49757.824884727597,59762.913975864649,55295.347021892667,48897.516652941704,40562.45562620461,53191.714016720653,53137.582261115313,43345.165383070707,42194.619448855519,44969.094088301063,55564.380958676338,50550.894280895591,48880.261583253741,50556.499240919948,43082.824759185314,53035.75174883008,51879.744604229927,42867.656266316772,56698.890421539545,58251.44549831748,52044.633058831096,54147.914033383131,43991.269795224071,41271.47956751287,49757.101135328412,47598.857823759317,54003.503387793899,56881.54824078083,48181.414920836687,45040.638530626893,58011.823687702417,44720.860179513693,43497.074032202363,55323.286587372422,58477.793885394931,56281.976439058781,51178.138684481382,50976.957557722926,49725.758554413915,40824.100151658058,50651.255361735821,55648.948047310114,51869.953610002995,58310.416210442781,43165.392214432359,40746.972737833858,54370.810613036156,50214.085765182972,48139.535365626216],"S":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],"C":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/medium.json deleted file mode 100644 index 38af12b86264..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/medium.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[28011.031767004635,2505.1264878246002,10252.899686735589,28514.114412155934,13898.147477703635,11267.765749184415,13169.033939431421,35765.522290377878,23045.413501852192,25830.905197087675,12879.848826173693,5794.3215184216388,19126.804669485427,20950.228942668997,25779.002607461531,25505.024567473214,29881.104337545112,17018.834190734662,27243.376077870373,6065.9531986596994,12188.456559691578,559.49334486480802,16347.650731427129,29800.970242046751,34506.090514484327,20877.546203182545,21009.199492038693,21326.026327549946,36522.653237694409,26960.250974553637,4199.3395393141545,18935.669327169191,16489.529139866121,17606.381992252544,20195.280790552031,21677.404071029276,5575.3906592181884,26855.852320061997,19475.152674134355,12828.145807277411,21773.682516526897,1315.2248932262883,33615.789949418511,28033.942170858849,18830.284237296786,15186.322830180638,17179.924909154885,6093.0818371525966,25663.483915857971,1378.3738935831934,25644.039445863105,6432.1665353481658,9345.0091501907445,35019.859594438225,27512.477006198838,30339.257709962316,10745.567995282356,12365.380020986777,24272.108706894796,30890.225946352817,15745.721320189536,16375.35086713871,16008.151369794738,2277.1966422069818,14227.982605708763,23856.764706925955,19200.615224838722,7802.2333492902108,27305.961788425688,25499.990982608404,19027.64348034095,13633.122218775097,18621.236859647091,4662.0450405809097,15424.032740462571,30086.388872012496,1174.0065980721265,20031.902194520924,4375.3393056094646,27123.742826072499,23404.889287431259,20368.436240395997,18934.050955012906,26162.548292018007,18982.347912985831,26683.521320718341,36075.045348851942,26106.45969646005,34999.321923959069,14192.849108489696,23336.076671340503,6897.7970707812347,18121.421813888941,11314.567068510223,25425.808208870701,25919.764686983544,31421.296192857902,18177.358486379031,29617.222038713284,6709.0356637630612,16686.452582798898,8728.6889087669551,965.55717711756006,19557.482579941396,32245.873341511469,12597.502362920437,17014.311405976769,24974.932617613114,7018.6989008001983,22103.47988697933,13269.632662830874,30370.2672548173,15700.988613377791,2012.7471387386322,31258.175735547673,5213.8312027468346,34171.064572914969,31665.5436199205,30340.867033355404,920.46628007991239,36047.775707620196,10261.599308469798,27236.65696769394,3756.8684118413366,30669.426423112396,28941.132484231144,555.88819398079067,29501.879789406899,22420.850661331788,735.23969427961856,20276.546719774138,23212.877142282669,1171.3112342217937,11603.921944807284,21377.21640004823,11922.202128446195,24127.26530893473,30125.235298268497,27224.892974576447,27277.435983120464,25415.780994495843,4884.3726200489327,27910.662593728863,11758.430452081375,218.69937479309738,3938.3930747853592,21095.437948436942,32688.763682558201,7909.4678037501872,22818.438738595229,8985.0573687609285,32482.266287586186,3369.7488950802945,13999.705198298674,21990.376579847187,29738.348800037522,14471.514184599742,23989.013033521362,29518.241344063543,2425.4999129003845,36270.054300140589,21924.90553292539,35556.462670283858,12315.376950478181,31949.502274011727,9343.9685767637566,17530.942007051315,5957.4489297149703,32207.207547112834,26455.495595985558,1565.6879964293912,2754.1674585575238,29235.496735229623,6953.8570262310095,1623.0935046835802,8870.5451331413351,25271.121336222626,7207.4948888602667,24119.652689196169,12798.935300776735,10181.699536446482,11789.187953682151,938.02901941770688,36240.735895294696,8519.4750647810288,24516.479657301679,8256.7913579107262,34351.41622768715,2376.8068011049181,29090.923975989688,10737.491347412113,24113.159197138157,14281.814230247401,6779.878757067956,27410.322307617404,9583.2378619527444,19772.820049935952,995.73323987936601,10504.569657998625,17936.323404591996,34570.600555282086,35780.802389055025,21747.032088857144,32750.486824483611,12846.314624875784,32153.000029739458,341.75068957405165,7173.8415598222055,11603.151288946625,8424.8033499568701,18907.967869342305,30260.127220173366,8227.4254942764528,20148.345903239679,7175.7526517412625,6849.8731897091493,23870.752257603221,33051.379560669884,18349.534059907775,10405.087692774367,5227.9331078128889,13070.783138282131,6876.3066187654622,25661.394613097887,3136.4623876940459,1691.3737375643104,13393.419691853691,9097.8650200041011,11044.461624444928,21142.607691504527,14264.635797205381,13045.954482481815,32057.088376802392,10766.599020814523,33976.826294657309,11926.799432430416,27648.153406078927,24526.511559176259,29370.966232649516,34536.701209775172,19129.50219679717,29414.570488292258,29933.42614074517,11439.380986208096,21412.323935730383,12006.554613116197,3792.4758273013867,2282.2583520701155,25554.140309737995,7290.3849766394123,16079.358645770233,19121.884511811659,12003.138885297813,20130.338349367958,36379.794575192966,22679.709196726792,356.64610420819372,36283.075418869965,19532.848120558076,23817.514297177549,23232.978274326306,7154.0376461674459,10615.774338870309,6430.3956906734966,16455.422685855068,34347.209153762087,5414.515308230184,14752.827011238784,32269.692553690635,7324.0016470258124,27979.738087551203,29647.255656428635,32135.048828886356,30492.917796957307,12200.651322014164,21151.863786419854,22339.823107782286,3206.1465524965897,29810.132106198464,4124.5413981680758,15485.310501233209,27537.714624886867,12031.915205697995,24424.955538443755,18676.924991630018,18787.479706881102,33230.579790373333,6581.7960937372409,16804.998162958305,9982.2555751199834,15177.528376721311,16863.545549578499,35290.182947144378,35458.068050461821,17882.000828846358,6523.0695862486027,25359.586337817833,19118.777386310045,33527.680545329582,22099.186961411033,14864.432602114044,27501.859269881155,36251.963332812302,12854.017509032041,14123.374112630729,35605.820720226504,30670.122714279685,3770.698150028009,4994.8362467065454,3949.836703910958,29063.51274822792,29385.986132166348,28865.152509364299,14115.450005960185,13044.359856890049,5256.2160559897311,9073.2933696829714,3671.7344883442856,997.57355570374057,4561.7577354321256,26053.294315013569,26400.755540869199,3374.5812265230343,21470.699790767394,34431.550666592084,21768.322094456293,21841.611101076938,36800.94594088709,21354.715714576188,2483.1812281436287,10148.920056944247,13959.475702070165,9567.2331582363695,8892.7645686301403,29983.173768274486,36341.757249163464,10227.370326993521,5045.1650383495726,1746.8382431869395,23760.366120638791,21441.574740992393,24275.838874941692,19837.160344864707,13046.070605414454,34008.766505665611,32523.92608936131,2959.0376558243297,6426.9038124475628,31513.4253082457,17925.401530242991,35371.658285694662,3640.0837175659835,22138.068827225361,4637.9516525939107,16089.460654096678,4541.3385402206331,14724.880240926519,5044.3237094162032,24479.622842877638,15645.311041146982,24937.790209112689,9607.2389422529377,17555.976844158024,21114.95637103729,28877.89248113241,6998.1556156235747,8689.4857689333148,5792.3856840590015,23464.236519470811,22246.365592748392,18004.69063952798,3682.7186738159508,1243.7788638309576,12758.373352644965,29044.036959553603,33913.405728382524,15334.341554187704,34439.620446330868,9905.1102328775451,9150.760707098525,15110.275032515638,29599.588952539023,5333.7561955987476,21735.420379384421,21957.485630571377,30035.164063939359,25190.656900771428,19142.727625267114,30456.346885675564,24394.345117878169,20429.586305432487,14239.194504078943,27930.140700397547,7269.9693871969357,4811.5467315325513,20734.953732286114,21202.540019663051,25976.27562111523,22502.566590527073,9833.8623147341423,28495.999904307071,4431.613924507983,14233.263099899516,1987.0306224143133,4643.6856838455424,1842.3239517812617,6176.6712209065445,29376.257320933044,12845.022042535245,10428.568632308859,31142.084035736509,8329.6315664811991,4894.802255416289,18836.544298736844,9780.1755047473125,11133.784043571446,10591.506654877216,4166.4306298745796,18930.628118678462,5507.9380018375814,36242.03919192031,30423.981451478321,33523.492307255045,25453.469608320855,11475.905468921177,8438.3051863773726,24595.332691750024,6111.741949364543,7426.9900165740401,25874.265891618561,4183.0421501756646,3136.4499563761055,1482.4405769407749,4788.7874609110877,6949.8922256431542,8732.6899902592413,31338.73383514164,31725.811696685385,10822.433701552451,13692.305903434288,17750.425390260294,7514.6722400565632,24629.396649197675,25529.675029602833,1705.421556095127,28257.105842310004,8496.1120682340115,584.59651987953112,32653.713392751757,8787.2467521172948,26449.230812705122,6892.4753506314009,2425.2712212931365,32426.434457122814,23702.173850755673,2102.094368990045,21124.075275026727,34647.311900297645,34513.378666522447,32750.517559371889,13362.875892163254,11970.223382452037,20014.481762866955,6574.1443599900231,35694.309004787356,6099.7220324985683,26646.247147115879,36449.009320380632,6035.9321152842604,23846.1080283029,24458.817521315534,34700.271375162993,2778.2731576701626,28776.981910224073,7152.189569354523,16428.147326903883,18406.251055153552,4949.6272349781357,18454.976223952603,12667.539618361276,14194.464149602223,13607.072666756343,23282.415874401573,26845.782488931436,34596.500776952598,28609.828211396001,147.97206101426855,32033.429827388376,18740.358830568846,15603.011249712203,14592.195238532964,24260.487433549017,19936.484737982973,23106.146516776178,14126.687505290378,17548.011185292155,34728.127743694931,28484.259280006867,28344.941207953729,9825.1031291298568,28772.367384400219,3341.8540135012008,24519.430275257677,20974.827361532487,33601.628635015339,11262.730893715285,2294.2180354231969,5322.5385279981419,17565.080930153839,26635.329771392979,452.67547691846266,27836.743315854575,23079.12663514493,2479.5367228663526,22641.7198274252,25583.31594330119,18296.258496462367,36827.692436545622,28407.068453563843,21553.7205790882,28587.940626848955,1013.338407099247,11410.615259900689,17295.7616639263,35565.420173184015,15372.128262100276,5806.8206419898197,7961.5745829246007,13625.076735051349,30892.791845925152,21997.795449597295,6935.2927587935701,21470.450529106427,30242.209930719342,2075.5415031276643,17326.058519950137,28542.679606195074,14644.36391674215,16107.462507419288,12114.487470693886,11043.013976866379,33684.994821667206,11224.230604114477,18933.850405574311,22791.913877538871,5657.7173885144293,9347.1922544562258,34838.293001551647,36381.748936340213,18653.657015681732,33325.607755176257,18177.801274814177,186.16728538600728,10266.566152267158,36968.400704257656,33418.924988625105,1021.5445879288018,1839.8965309094638,2252.0086114280857,33368.749098758679,5794.3632079795934,19827.481070029549,34731.498365059961,11388.292596396059,10848.755969901104,13614.670245287009,3482.9183079777285,35515.028641160112,16520.64914144529,24418.24877373362,16575.330456867348,21622.117501522414,35072.016510972288,19161.773606274743,18705.149835414719,13813.429419566412,25458.361967232544,19955.781732025091,15573.725537172053,1736.2243530228734,29737.714047328103,3803.2253974024206,35458.283108828124,21496.486791290808,25357.668669662904,23761.528689250816,4107.8654204532504,30196.152910799719,2328.2073534522206,23486.006899354514,19411.140469845384,6292.0278246076778,13905.696635907516,27527.467733327299,24177.408678198699,24805.842912719119,4349.0274253096431,27375.970420928672,22199.078009715304,34448.282224660739,7991.6186917107552,2354.4133443352766,21454.0958769219,13480.570545175578,35795.257470611017,6582.5879206131212,30113.232465879526,9858.2889272891916,33431.077305895276,20900.541033542715,1880.3135442971252,17826.752926919609,36669.581456958782,25891.833301285747,4454.4965639407746,30091.784218531568,18107.595578449313,175.02793165436015,7412.4478986221366,2702.8893709545955,15483.677997896448,100.23104394227266,3983.155537776649,35958.15378645109,15778.969515323173,22082.766735741403,33873.699635282159,11708.03450728301,1293.0547537510283,29732.255617021583,22682.387184204534,8492.5816597905941,14995.02177702263,9934.122988703195,17419.148092011455,7560.1179791060276,14102.933214123826,23912.639360188972,36460.913045632653,21736.8425118546,8986.2660740460269,15923.976031405386,25589.283662725706,7976.7189158131368,10044.87971287081,35257.412035636138,899.35809109080583,13139.443213173188,17783.185845038388,5024.6359530347399,25444.501185091678,8235.6161874695681,10317.326468609739,5145.0378861054778,21024.79124935111,25265.691597535275,26568.876719035208,26639.223967589438,29029.430967979133,9668.5052332440391,14814.53001236869,36868.033024800476,5824.3355791326612,7351.1232800246216,4464.0241217520088,5856.4484377955087,30849.939066885971,2358.1378118330613,10305.221146529075,22928.889573357999,21682.238085164223,13074.666259616613,35266.926904574502,13323.760406857356,18270.261537160259,5499.7972571304999,10039.54284849111,19306.732371672988,21409.121016965248,31921.098893149756,11317.346206394024,35261.77863908466,542.86228472972289,31813.422903688625,8383.9904918125831,33553.260712074116,9549.049642836675,35139.421091432683,8967.5579364248551,33353.306877838448,4367.956081461627,13652.894521854818,19077.334875043947,717.39338696422055,15317.659532517195,12175.882109891623,10458.71545400098,21597.71645558672,30566.637280887458,34395.018302698154,34609.881837281398,32267.309260563459,4140.994041418191,33893.885726111941,19118.6632379652,31609.189313526731,5019.0390440276824,5123.2514691348188,23590.481051781215,5404.2211295855232,26103.566444572061,23245.437425369397,32189.989313249011,32052.638909347821,9730.3994774944149,22627.093609203584,998.46618957910687,19564.255278713536,35455.621656376868,13638.455425874796,34510.448618620168,20378.202448605094,35582.712393993977,11018.483552504331,27005.152379844338,21397.258603523951,16914.516099425033,7000.2146299239248,6422.3391320877708,28540.842466881499,20640.563456318807,20324.171098803636,12429.815868794452,1055.4033256084658,17808.700970578007,28254.351086292882,35942.92765411688,17984.363254063763,30770.35100500891,29022.581208772026,5163.6021878835745,1178.0113883554004,13594.412519846112,31741.326651117764,13471.272966746241,27022.856740052812,23970.440764710773,12358.119307133835,12860.290928987786,8941.7433603536338,5090.7266599470749,30041.012775816023,12870.957463379484,3849.1869674650952,33601.391512776725,7277.4174293354154,19371.791004471015,8659.5629685190506,19101.878881135955,7625.503964219708,6855.1855348595418,2536.3372517609969,18590.209406139329,36278.633678063285,18626.510348343756,19547.569599763025,13130.415414947551,13544.980998067185,12151.739734956995,10300.819738824386,22700.430246315897,16758.326702828053,36781.024788228329,18396.902824254707,32198.910432222765,34497.885569918435,30469.042815550696,16536.838632238563,1531.0206736330874,10068.472946354654,26185.887387467548,5639.5253222910687,35450.135083901696,32044.63178413827,22646.646011884324,34631.698182134889,30204.617384883109,33971.623324500397,35099.479953703471,1390.8558124820702,14189.650482306723,6449.7663969364949,10161.883002600167,10589.703444133047,10732.867635462433,20148.43242452573,8629.915906412527,172.70583357848227,5257.9455201723613,1267.3979043187574,4120.5870199697092,22770.0760869449,7359.9707039478235,5670.6780676869676,5939.327210328076,22619.469674218446,20354.990825675428,14194.965643391013,22035.678774949163,16799.342239531688,25542.150492458139,27015.52585106669,11379.189523449633,5345.408890645951,33217.266123584472,4056.9982703258283,23350.960324299522,35809.352456034627,22239.008038241882,4965.2719970950857,23285.493243723642,4821.1287192855962,34287.421966391616,33015.256691943854,1200.4791067964397,22479.356530097313,25345.376482895575,1531.7456049085595,22252.392893213313,8686.5296049611643,29854.137769784313,6267.7296289405786,11128.921870097518,2618.9570442265831,6007.0620277193375,17975.546101429965,30072.466620095074,25293.718501771335,18268.056437703781,5311.6906749359332,19610.214427759871,33558.040038712323,16129.192485519685,8600.2295757643878,17456.546389919706,9272.3112149634399,29994.661662507337,8180.7957237041555,10774.791534062475,24176.396521665622,7794.5280612879433,8422.1862828051671,11795.920233500656,3468.4559805430472,13684.69134344859,391.51565913530067,32367.685353481676,31876.988490559161,7413.8095228541642,25587.707838643808,18364.843554187566,9600.7581734084524,19252.694823382888,35025.046475997195,4069.3954193121754,10471.843440855853,21001.791628469247,7441.0632643615827,4292.3415770400316,33354.918107138015,31447.88691929495,22611.697919873986,354.11550683155656,30624.325292558875,8386.4309277934954,823.66827760776505,31575.747402745299,32928.844265775755,23786.831812742632,23774.46213628212,242.30977860558778,32028.45012301486,8792.4673905423842,3573.5008746939711,9270.2281622029841,31857.793900357094,16667.331842180341,19223.401178150903,22035.750838818494,18010.519691378344,27905.593157217838,302.41097694635391,9705.2911170404404,6233.8792703812942,32173.945289480034,20511.731303970329,30549.185564894695,36068.027474957053,18776.053093551192,25548.489468728658,22935.70008119382,25527.443333307281,1070.3018995830789,10098.033882092685,6794.5345769361593,15619.68695270177,36749.73550437903,8739.9089287025854,5175.432321107015,15642.060560571495,7179.9631597320549,3869.8810252975672,12676.421674837358,15983.187411804684,25183.954497324768,17114.432845750824,11557.971689991187,23424.283345341217,14467.367687594146,28044.837826116011,17588.562230265234,15682.540932471864,23819.573998291045,20977.374906023499,2672.2089297887869,16059.503083766904,17266.453767321538,22336.601713743526,22810.176908730529,17620.482764076907,35948.952945653349,8632.4381590094417,5691.2052470953204,19082.631681046914,15994.811913172249,36191.949067845475,36638.265730803367,15790.423566838261,30226.010635668412,24797.989444780629,19847.791714423336,7362.4988631377928,11288.449590671342,28945.357964748517,34700.539266630542,7280.7250527646393,1217.018013777677,5464.7663011141121,11242.264806336258,27050.687284410466,12369.400007010903,18090.013848728035,36535.89635160286,28299.266536912415,16503.906577195972,1136.971315252129,24420.903546927031,24321.103535705246,6267.3141584983096,4146.1101468824781,9261.270315896254,28795.270954463631,19552.156240973156,16472.09426796576,19562.489825522061,5783.6498672720045,24133.363711730577,22002.091139588505,5386.9544753949158,30886.909325671382,33749.277492973022,22306.08773891395,26183.80170764681,7458.5045579648577,2444.1633046451025,18088.679508148227,14109.634226773866,25917.559020906221,31223.666414115578,15183.665618800558,9393.1732269902714,33307.498741832562,8803.6138699604198,6547.3805394698866,28350.777316809166,34166.584696808364,30118.265861870721,20708.575385644101,20337.667801295873,18030.894758845214,1619.3522446043789,19737.186947664246,28951.183067423292,21984.039973082021,33857.998846382834,5935.8753561382182,1477.1562881073914,26594.744986724108,18931.199220979586,15106.454376836773],"C":[0.50000970910516362,0.49988502956663045,0.49999933013135317,0.50001002118067517,0.4999797928427685,0.50002823348250958,0.49997613912059385,0.50000795207545234,0.49998980375682284,0.49998902847064375,0.50000818539717695,0.50001208098281358,0.50001626736923044,0.50001403932043231,0.49999043068410004,0.49999637881252701,0.50000667683241717,0.50001767857853607,0.50000219439159999,0.50001686720931515,0.50002312817158912,0.50054188819393919,0.50001233424206681,0.49999104830231172,0.49999259031169763,0.49998865930189212,0.49998646040699962,0.49998518215825793,0.49999404257852625,0.50000966940052349,0.50005889120650426,0.5000164494464705,0.49998221824369282,0.4999823742292262,0.49999491235228766,0.49998651164447161,0.50005709135178578,0.49999699795614089,0.49999214498233319,0.50002415276853007,0.49999274672832139,0.50017636256681408,0.50000113620602249,0.50000609819391006,0.5000111267900903,0.50002068938949173,0.49999664835391822,0.49997818545241485,0.49998895306745184,0.49981521629590403,0.49998774320603562,0.49997491256267607,0.5000009174233645,0.49999979774592279,0.49998843428668355,0.49999394691385063,0.49998045352539433,0.49997438560158242,0.50001301256805608,0.49998969900718981,0.49999662045831766,0.50000066857133496,0.49999158287816614,0.50010590164064939,0.50002234992137984,0.49999428817232083,0.50001657501025187,0.50003800791302566,0.5000111366278448,0.50000220619192592,0.50001014827034085,0.50001817438814533,0.49999515160171837,0.49999575621496939,0.50000068512586404,0.49999104898220664,0.49980598144510824,0.50001067852616909,0.49999552191152669,0.50001157596746093,0.49998956304807279,0.4999846534640881,0.50001057246512182,0.50001190533932793,0.50000736864732431,0.49999863082399293,0.5000087569340953,0.50000223024721702,0.49999111479746189,0.5000063802171909,0.4999917984309854,0.5000288346135352,0.50001347950794595,0.49999769652874043,0.4999875659485763,0.50000960101559866,0.49999355115480931,0.50001153218346694,0.50000964821559668,0.49996849263308868,0.49999404812896142,0.49999622435141289,0.5002843560323923,0.50001590947584518,0.49999366961995939,0.50000841759314496,0.5000154659048146,0.49998825832659849,0.49998198253108239,0.49998582978329531,0.49997601339345227,0.50001026643899404,0.49998432693943096,0.49984223922776011,0.49999517312986635,0.4999821160473335,0.49999932276602393,0.50000925710725674,0.50000528005251976,0.49990730178525294,0.50000656003672517,0.50001693206705011,0.49998903025753327,0.50003412398599734,0.50001018654541041,0.50000813695607726,0.49972746228078652,0.49998936717443582,0.50000793822741496,0.50034700729512804,0.49998458342149044,0.50001288207773631,0.4999968352278103,0.50001943273172034,0.50001488628928503,0.49998402068748415,0.49998813170107531,0.50000364091474436,0.50000855885078088,0.50000337453747745,0.49999201950530464,0.49998894519269993,0.49999299624153559,0.49997594896571662,0.50115488946988185,0.50000146209806606,0.49999452580658266,0.4999903686695884,0.50004005689047426,0.49999066003573772,0.49999555573408605,0.49999057961054683,0.49994640235330978,0.50001220501684285,0.49999720971983863,0.50000910265055354,0.49997913417130163,0.49999356277396206,0.50000078495889189,0.50003513016311663,0.49999126939144828,0.49998789443940717,0.50000499357699224,0.50002011114362255,0.49999361426791289,0.50003174299953945,0.49999062499786318,0.50002043442858035,0.50000026696002109,0.49998873956929257,0.49979909258243971,0.49993357749709977,0.50000923276634746,0.49996979687243953,0.50014399895536299,0.4999641901243011,0.50000756140254932,0.49996540583006316,0.50000313222340631,0.5000240239724576,0.50002375738847316,0.50002202275914986,0.49978317617207985,0.4999968630983353,0.4999690791730213,0.49998773720556128,0.49997396814782502,0.50000900275203575,0.49989551129213255,0.50000375794901419,0.50001874334492535,0.49999116915602621,0.50000989015379971,0.49999709187914848,0.50001161197522814,0.49999577308193227,0.50001464228124681,0.50028133333813851,0.49998623236301887,0.50001612682856045,0.49999147755139056,0.49999482320184535,0.50001275696402403,0.4999909670739498,0.49998094021719203,0.49999019367036246,0.50062270254601327,0.49995969225526293,0.49999293520516369,0.49997267996139899,0.50001677874214712,0.49999130985645501,0.49998441922471648,0.49998670650837401,0.49999175832404397,0.49995810683150266,0.50001143629031131,0.49999058987859901,0.50000576611945569,0.5000050547762015,0.50004809596015176,0.49999424061076198,0.50004173783518369,0.50000891960325278,0.50004740693663396,0.50018485582565797,0.49997628589322562,0.49999573568196937,0.50002260079610927,0.49999992589443182,0.49998613255459395,0.50001304091968979,0.49999054748835375,0.4999799314026227,0.50000933049716878,0.50002380675408586,0.49998925564708485,0.50001189123062806,0.50000835658490594,0.4999939782234909,0.49999250941883383,0.50001081997141061,0.50000779109233595,0.50002377959522337,0.50000733800202068,0.50001285426406861,0.50008291228359625,0.49986641351134331,0.49998755774098197,0.50004303933389693,0.49998692474821738,0.49998497218845023,0.49997380596681512,0.49999851107005611,0.500007578049951,0.50001298268018723,0.50057283506787631,0.5000020291641013,0.49999261971404763,0.49998805664960866,0.49999024110230716,0.49996232890406905,0.50002871143537819,0.50004538726925196,0.49999316683141698,0.50000791904808528,0.50000212890277118,0.5000207526057513,0.50000686767116453,0.50000852149365516,0.49999132569306981,0.49999928612074229,0.49999076135214571,0.49999634077087096,0.50002288938973682,0.50000807831463145,0.50000986746870668,0.49995717661572481,0.50000312377026235,0.50003006993925103,0.50001801917600197,0.49998924128769789,0.49998180252704766,0.50001298363391689,0.49998338504885831,0.50000681487564858,0.50000908947725509,0.49998647345334046,0.49998258157770614,0.49998261819630796,0.49998838069297513,0.50001340374914682,0.50000578124414252,0.50000180412034789,0.5000094703657062,0.50004700770259947,0.49998822557406286,0.50001535437771394,0.4999912306158521,0.50000762979659075,0.50001697791023625,0.49998969025481216,0.50000636691497513,0.49999526421732549,0.50001102257494312,0.50000865577573184,0.4999908200277296,0.50006320114486846,0.50006237485987404,0.50000157437395243,0.50001000716498079,0.5000108105195501,0.50000903346956638,0.5000220873777681,0.50000290791835633,0.49994325854661054,0.50002745931009684,0.49997937879164084,0.500319083762645,0.50003768686000571,0.50001056204581562,0.50001181117257809,0.49993824587372487,0.50001039612503939,0.50000819652481343,0.49998603742026326,0.49998954530399858,0.49999805892511662,0.49998623209558013,0.50012816429168006,0.49998479348016484,0.50000438924063462,0.49998470672535922,0.50001758376602812,0.50000999686045799,0.49999941056104202,0.49999063692958395,0.49997456303625076,0.49995686618188506,0.49999612525699177,0.49998763787099731,0.50001300324376374,0.49998783330613017,0.4999909661946198,0.49999128085962646,0.50000397467677993,0.49997465558022569,0.50004071929853333,0.49999131894975368,0.50000056997986309,0.50000168691507019,0.50006459535896397,0.49998835393995278,0.49995395369378914,0.50000430735329315,0.49997184966495639,0.49999629582016963,0.50002993165027576,0.49999038890937086,0.50001261487889137,0.50000921797941988,0.50000485077474,0.49998191906564404,0.49998852439095165,0.49999739579111702,0.49999853674070643,0.49996359921340755,0.49999250423001029,0.49998957009988088,0.4999980680840595,0.50001766552909599,0.50008338688642417,0.50005499849012702,0.49997969024762501,0.49998915488942858,0.50000143753385173,0.49997949510781614,0.50000640412568553,0.50002919363915144,0.50002386859055903,0.49998652798430188,0.49999733756558007,0.49994206120316176,0.49998544008731771,0.49998633548229676,0.5000055054806708,0.49998749678416421,0.50001654208128765,0.50000586638594402,0.50000536691550446,0.50001276311656917,0.50000436086768518,0.49999251717444176,0.49995685856603411,0.50000521933807585,0.49999346270484807,0.49998647083930753,0.4999880589032088,0.49998630504191532,0.5000012783277934,0.49999154867774898,0.50000271923556827,0.49998492392515209,0.49985791015973036,0.50006248938488718,0.50011358426520891,0.49995697962605096,0.49999688436844364,0.49997746650886704,0.49998695092814976,0.49999857770912548,0.49999800082239149,0.50006388542185076,0.50001660772599954,0.50003217447283643,0.49997199435851047,0.50002827165228647,0.50002287194846629,0.50001679290634859,0.50005771772835905,0.50000830348264846,0.49999116533872678,0.50000644078802847,0.49998765371418924,0.49998619627022267,0.49997695286502036,0.49999565690817022,0.50002681937615678,0.50003837762260206,0.49999040112681753,0.50004176345052154,0.49994987632737886,0.49997839648815962,0.50005690385919488,0.50000373295199929,0.49997563942356932,0.49999416156710397,0.49999710320384577,0.49997239786142017,0.50002318462333162,0.50001196012873639,0.49995844927691879,0.49998851716909365,0.49998774219491654,0.49983588010235525,0.49999106115089909,0.50001573821434164,0.50053893509934888,0.49999509098439138,0.50002630487988364,0.49999044739708565,0.50003048975204933,0.5000923428581654,0.49999425608231052,0.50001239559497845,0.50013860387796982,0.50000521539342324,0.5000012014518137,0.49999078233240701,0.50000579557989067,0.50000407175987682,0.49999281413439056,0.50000576473704661,0.4999949901830909,0.49999224859148228,0.50005116150613071,0.49998806357558112,0.50000553692383698,0.50003730859703488,0.50000203621169637,0.49999022430348994,0.50000638414949783,0.50004572776962175,0.49999761018631977,0.49997591630873811,0.50001557570508504,0.50000256191090375,0.50002318133935786,0.49998648273930174,0.49999931930914887,0.50001571528776667,0.49998201322967295,0.50001362712547126,0.50000910003064469,0.49999986008293784,0.49999517460638493,0.499117333131464,0.49999290535684515,0.50001678244153724,0.50000187664443885,0.50000410551692498,0.49999052933620292,0.49999292696611941,0.49998658113468347,0.49999550444509644,0.50001396096727335,0.50000726344708735,0.49998981038100715,0.50000144864998053,0.49997702091009116,0.50001093460021018,0.50003611203510523,0.50001297330826844,0.49998526553029232,0.49999059177196858,0.4999729131860739,0.50008050123619541,0.50003377205268174,0.50000235183544539,0.50000057894979744,0.49930344205787747,0.49999281160055598,0.4999949015181947,0.49993120609035369,0.50001293383949108,0.49998934297604669,0.49998262259131626,0.49999731877819914,0.49999780597765525,0.4999859445227316,0.50001004291196804,0.4997142603251381,0.50002280991046821,0.49998772859906998,0.50000133234562572,0.49998164634460951,0.50000273366200776,0.50000997498707433,0.50000132176432299,0.50000057684659882,0.50001224570974689,0.50002397044474578,0.50000179326902017,0.50000751583854108,0.50011362677680471,0.49999533997996232,0.49998899050043349,0.49998401608501702,0.50001230531832863,0.49997702281758849,0.50001335699230554,0.50000199970456527,0.50002428062226478,0.49998386076671403,0.49999566033058801,0.49999573571801265,0.4999660191976113,0.49999162590124013,0.49999562810378378,0.50000157098516962,0.50000368102536097,0.49998323621746438,0.49932553651174011,0.500023854509409,0.49999279928783913,0.49999225356746396,0.50026691839792736,0.49983959410161249,0.49986656992579409,0.5000057980511694,0.5000549210969335,0.5000097921011909,0.49999195380424161,0.50001114601721863,0.49999566224162079,0.50000409551693814,0.49999140591494651,0.49999260636864973,0.50000165458427159,0.50001254105704873,0.49999277253344704,0.50001360405427497,0.49999793797874498,0.49999335787525934,0.4999907620687517,0.50001139643824799,0.49999892833820686,0.50001190210393631,0.49997984999543027,0.49981666913665712,0.50000995629568967,0.4999341468977998,0.50000896965061181,0.50000809348269071,0.50000673284821395,0.50000699779321367,0.49996346649175877,0.49999135277903928,0.50009956537019284,0.50000162530055536,0.49999165104544496,0.4999885275264484,0.49997724806289706,0.49999658906786765,0.49999238515116379,0.49998949569869572,0.49995212576233455,0.50000805957723971,0.5000098390199148,0.50000326451584931,0.50003509185853146,0.49995903374754425,0.5000024093978247,0.49999188108676845,0.50000729675985067,0.49998028095235053,0.50000693913352379,0.50002532256868959,0.50000247279506693,0.4999891433883768,0.49983084359388863,0.49999769077587464,0.50000304964409692,0.49999444573872637,0.49996153662583959,0.50000799298745247,0.50000958929627215,0.4982919587989188,0.49998996132317963,0.49988257338820674,0.5000105353432891,0.49872891901886907,0.50000478238860224,0.49999635802538928,0.49997985657195326,0.49998710398396623,0.49999060708484222,0.50000101315977652,0.49980171284743968,0.50000127356205071,0.50000778122010581,0.49996533197527976,0.49999689735712655,0.49997937006425663,0.50000703079687259,0.4999906864354145,0.50002095880319464,0.50001283704111654,0.50000165183424816,0.499991670891136,0.50000258217438875,0.50001702356189437,0.49999314709337583,0.50003440798318366,0.50002043006027808,0.49999314063828365,0.50035367882329473,0.49999818286956987,0.49998298377097067,0.49995806650303792,0.50000961565334301,0.5000007703361472,0.50002314640939716,0.4999398543008341,0.49998497606427539,0.49999806365851601,0.49999791626555457,0.5000070931915066,0.49999464725289117,0.50002519260533695,0.49998450852297688,0.49999151357001742,0.50005439565355858,0.50003165235972691,0.49993976972997572,0.50002502135917049,0.50000645855669579,0.50001278819008621,0.49996966922130515,0.50001380510750126,0.50000828503141193,0.50000751019959366,0.50000808906800198,0.4999802268016732,0.50001465470148088,0.5000117775843711,0.5000258447721988,0.499983848221564,0.49998655640171652,0.49999245572085915,0.50002729224620768,0.50000854862723376,0.49956027924102597,0.50000972516514652,0.50002951057563261,0.50000572476384531,0.50003306234984457,0.49999234387145391,0.49996953673458994,0.49999549808634358,0.50003606398528855,0.50002243806465885,0.50000171189583464,0.50040391536648221,0.50001339349096718,0.50002538169220168,0.50003033247832129,0.50000221224472641,0.49999102541485591,0.50000062376046106,0.50000870393782004,0.49999021925620252,0.49995994586742171,0.50000534278968811,0.50000017579245182,0.50001002786757276,0.50006298641857738,0.50003524530854149,0.50000525058663692,0.49999838492599502,0.5000119553461424,0.50001353555925254,0.49999979941399358,0.50000989640377558,0.50000043041338993,0.50001338143272933,0.49970908974281086,0.50001332111833263,0.49999104014132134,0.49998617581890964,0.49999796564284493,0.49998440531819854,0.50000788143135,0.49999093526913163,0.49998826291527748,0.49999422259958481,0.49998152740316515,0.50004445289759292,0.49999437138175967,0.50001008646095291,0.4999951038823468,0.4999847515292597,0.49998100142440899,0.50008400966853706,0.49999291520284711,0.49999002298321588,0.50000461632147863,0.50000915000414847,0.50001033429592023,0.50000034049282727,0.49996031316446227,0.49973924516809759,0.49999137185921849,0.50000623364604269,0.49997974891917113,0.49999317521155817,0.49999130452132501,0.50002461080336713,0.49997673563256489,0.49998273157744966,0.50000722289472155,0.50000854022835306,0.49999906307481357,0.50003875336824122,0.49999437066919866,0.50002792260215922,0.49998512230572867,0.49996493977528361,0.50001576187876107,0.49996256210351242,0.50004193149920551,0.49989251561793835,0.50000620025445153,0.50000572853428837,0.49999363321473594,0.50001496906784537,0.50002421361457905,0.49999141764391763,0.49997914851316561,0.49997228724195503,0.50001174574483132,0.50000359665965788,0.50000584713111662,0.50001174344408417,0.500009879668178,0.50000875353078944,0.49999843284211254,0.49999845052867165,0.50009528635102829,0.49997666629986232,0.4999950128312568,0.50001224663206878,0.50000667076846472,0.49999721364058336,0.49999151841360973,0.49999081396125078,0.49999116636815577,0.49999166303288795,0.50000906412190127,0.49996104741928804,0.50002144114758262,0.49996124045968893,0.49999227993938006,0.49996998616490301,0.49998572697108712,0.50001526625376747,0.5000281129872759,0.4983643569717372,0.49994010737825212,0.50019152199329431,0.50006326073024743,0.50001397882994369,0.50004028555834967,0.50002169702607779,0.49997652369899054,0.50000721830075368,0.499989176269513,0.50001269000696347,0.49998564899906445,0.49999089568387395,0.49999576717268651,0.50001178112543021,0.4999909147109749,0.50001912906948831,0.50000870263504626,0.49992165621392509,0.50000143220411397,0.49999221395138038,0.49998948974204566,0.49999948275209521,0.49999202595786491,0.49998682245406434,0.50000916607737977,0.49999391360604029,0.49996434980429499,0.49999983921766195,0.50001250368263561,0.50016776628360071,0.50001052043374461,0.50002887908222771,0.50000038073240571,0.4999546955888759,0.50000041625093761,0.49999990530794003,0.49998324057184201,0.50000937930663736,0.50000872379892569,0.49999337157427159,0.49999969537054267,0.50001615754992768,0.50000247066423609,0.49999117974951668,0.49999288099242756,0.50003432319707208,0.49999611790415044,0.49996864914697575,0.50000403472953925,0.49996611231080712,0.50002396817895456,0.50001233657930655,0.49998135760275952,0.5000126753708426,0.4999934901202075,0.49990961954381163,0.50002247911519104,0.50058504639576173,0.49999040941173833,0.49999064385002034,0.49997706069078168,0.50000786602080571,0.49998378842774199,0.50002328614474767,0.50000097814171474,0.50000771707647007,0.499922376783838,0.50003030379900404,0.49999120033525019,0.49996955137571403,0.50002445981118115,0.50000098932682058,0.49999524631614567,0.49998648399602585,0.50028825544628697,0.49999421807766403,0.49998312289550911,0.50030101617934442,0.50000066421305345,0.50000846880129446,0.49999369567625634,0.50000272511079358,0.49994058306117561,0.50000897613133855,0.49996533571633606,0.5000631277617148,0.4999904565349208,0.50000305216630236,0.49998250449597759,0.50001613744088036,0.49998557140662597,0.49998859657729833,0.50000860157821303,0.50061731611133908,0.4999835939656172,0.49995259294721933,0.49999290020196285,0.50001537614041514,0.49999088212641873,0.50000090976006395,0.50000594625582861,0.49999740185160907,0.4999954123900423,0.49998781087653171,0.49992773677781305,0.50001359551159807,0.5000085745719548,0.50001441905480082,0.4999953797929968,0.5000046790241256,0.49997297313551897,0.49998390917225893,0.49995570079975427,0.49992001825315435,0.49998286008960297,0.49999507368422602,0.50000243318653925,0.49998983067616914,0.50001665183195532,0.49999494148370405,0.49999346593862343,0.5000100569046364,0.50001574941637073,0.49999686718274872,0.50001002314278054,0.50000124127487666,0.50009231014936473,0.499982304727774,0.50000839383532136,0.50000263532959932,0.49998861348111606,0.50001749108129556,0.50000153880345266,0.50002874553958987,0.50005407185084805,0.49999673280842455,0.50000427277139414,0.50000764293228528,0.49999681395645496,0.50001235926437282,0.49998950474255832,0.50000912557990573,0.49999846895604111,0.5000301014268409,0.49999293910137849,0.49999512219957454,0.50000746354114189,0.50003914110755121,0.50025391990020129,0.49994707246653253,0.50000107662326509,0.49999094543761879,0.50001912675427584,0.50001754760683825,0.49999711243588379,0.4999917138831928,0.50000899312423763,0.4999017422872577,0.49999901177143763,0.50001248175491786,0.49995273921955757,0.50006545470395902,0.49999271864894812,0.50000950620533913,0.50000803440107555,0.50001201703910148,0.50000438361114374,0.50001805637941499,0.50000088347228844,0.49998953571262128,0.49995692739673064,0.49999520983438406,0.49999158093161883,0.49999524794657912,0.49999744821689401,0.49998421570501839,0.49994832087638219,0.49999084083651252,0.49999952700500472,0.50000718524785193,0.50000518900019442,0.50001168673419349,0.49996916435337074,0.50000605896661554,0.50003485478832588,0.499994561060428,0.49999247898779992,0.50000225760663664,0.49999222425100187,0.4999890816396883,0.49999071841595222,0.50000533507528855,0.50009140422564002,0.50001315149945802,0.500010994548726,0.50000960813912287,0.50000173752548105,0.5000200229238756,0.4998080761719853,0.50001184652970931,0.49999853386562715,0.49999474222445767]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/runner.c b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/runner.c deleted file mode 100644 index 4920b1ab00fb..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/runner.c +++ /dev/null @@ -1,187 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2018 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -/** -* Generate Cephes test fixtures. -* -* ## Notes -* -* - Run this script from the directory in which fixtures should be written. -* -*/ - -#include -#include - -/** -* Define prototypes for external functions. -*/ -extern double fresnl( double x, double *S, double *C ); - -/** -* Generates a random number on the interval [0,1]. -* -* @return random number -*/ -double rand_double() { - int r = rand(); - return (double)r / ( (double)RAND_MAX + 1.0 ); -} - -/** -* Generates an array of pseudorandom doubles drawn from a uniform distribution. -* -* @param out output array -* @param len array length -* @param a lower bound (inclusive) -* @param b upper bound (exclusive) -*/ -void rand_array_f64( double *out, const unsigned int len, const double a, const double b ) { - unsigned int i; - double delta; - - delta = b - a; - - for ( i = 0; i < len; i++ ) { - out[ i ] = a + ( rand_double()*delta ); - } -} - -/** -* Writes an array of doubles to a file as a series of comma-separated values. -* -* @param f file to write to -* @param x array of doubles -* @param len array length -*/ -void write_array_f64( FILE *f, const double *x, const unsigned int len ) { - unsigned int i; - - for ( i = 0; i < len; i++ ) { - fprintf( f, "%.17g", x[ i ] ); - if ( i < len-1 ) { - fprintf( f, "," ); - } - } -} - -/** -* Writes a named array of doubles to a file as JSON. -* -* @param f file to write to -* @param name array name -* @param x data -* @param len array length -*/ -void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) { - fprintf( f, "\"%s\":[", name ); - write_array_f64( f, x, len ); - fprintf( f, "]" ); -} - -/** -* Writes data to a file as JSON. -* -* @param f file to write to -* @param x domain -* @param C C(x) -* @param len array length -*/ -void write_data_as_json( FILE *f, const double *x, const double *C, const unsigned int len ) { - fprintf( f, "{" ); - write_named_array_f64( f, "x", x, len ); - fprintf( f, "," ); - write_named_array_f64( f, "C", C, len ); - fprintf( f, "}" ); -} - -/** -* Generates test fixtures. -* -* @param x domain -* @param len number of values in the domain -* @param name output filename -*/ -void generate( const double *x, const unsigned int len, const char *name ) { - unsigned int i; - double *C; - double S; - FILE *f; - - // Allocate an output array: - C = (double*) malloc( len * sizeof(double) ); - if ( C == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - for ( i = 0; i < len; i++ ) { - fresnl( x[i], &S, C + i ); - } - // Open a new file: - f = fopen( name, "w" ); - if ( f == NULL ) { - printf( "Error opening file.\n" ); - exit( 1 ); - } - // Write data as JSON: - write_data_as_json( f, x, C, len ); - - // Close the file: - fclose( f ); - - // Free allocated memory: - free( C ); -} - -/** -* Main execution sequence. -*/ -int main( void ) { - unsigned int len; - double *x; - - // Define the array length: - len = 1000; - - // Allocate an array: - x = (double*) malloc( len * sizeof(double) ); - if ( x == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - rand_array_f64( x, len, 0.0, 10.0 ); - generate( x, len, "small.json" ); - - rand_array_f64( x, len, 10.0, 100.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 100.0, 36973.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 40000.0, 60000.0 ); - generate( x, len, "huge.json" ); - - // Free allocated memory: - free( x ); - - return 0; -} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/small.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/small.json deleted file mode 100644 index b4965316687e..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/c/cephes/small.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[7.8263692557811737e-05,1.3153778808191419,7.5560532184317708,4.5865013170987368,5.3276723716408014,2.1895918622612953,0.47044616192579269,6.7886471655219793,6.7929640552029014,9.3469289550557733,3.8350207731127739,5.1941637182608247,8.3096534572541714,0.34572110511362553,0.53461635019630194,5.2970019308850169,6.71149383764714,0.07698186207562685,3.8341565057635307,0.66842237487435341,4.1748597426339984,6.8677271204069257,5.8897664258256555,9.30436494294554,8.4616689011454582,5.2692877734079957,0.91964890714734793,6.5391896199434996,4.1599935665726662,7.0119059411808848,9.1032083006575704,7.6219803933054209,2.6245299354195595,0.47464513685554266,7.3608188424259424,3.2823422597721219,6.3263856759294868,7.5641048559919,9.9103738507255912,3.6533867055550218,2.4703888548538089,9.8255028575658798,7.2266040043905377,7.5335583463311195,6.5151857445016503,0.72685882914811373,6.3163471780717373,8.8470712816342711,2.7270996663719416,4.3641140544787049,7.6649477751925588,4.7773176478222013,2.3777443356812,2.7490684017539024,3.5926497913897038,1.6650720033794641,4.8651738278567791,8.976562861353159,9.0920810122042894,0.60564327519387007,9.046530919149518,5.0452289450913668,5.1629196340218186,3.190329410135746,9.8664211155846715,4.9397668475285172,2.66144507098943,0.90732894837856293,9.4776424951851368,0.73749075178056955,5.0070709455758333,3.8414214784279466,2.7708180015906692,9.1381744155660272,5.2974739344790578,4.6444582473486662,9.4097995338961482,0.50083983689546585,7.6151426183059812,7.7020454639568925,8.278172998689115,1.2536537554115057,0.15867701265960932,6.8845530087128282,8.6824713135138154,6.2954341759905219,7.3622451396659017,7.2541199810802937,9.9945787852630019,8.8857221323996782,2.3319487832486629,3.0632183095440269,3.5101524787023664,5.1327370200306177,5.9111358225345612,8.4598155971616507,4.1208077035844326,8.4151063906028867,2.6931727211922407,4.153946153819561,5.3730397531762719,4.6791736828163266,2.8721237136051059,1.7832770384848118,1.5371997701004148,5.7165481057018042,8.0240572663024068,0.33053754363209009,5.3444984089583158,4.9848011881113052,9.5536075951531529,7.4829265056177974,5.5458384798839688,8.9073748094961047,6.2484929105266929,8.4203961212188005,1.5976752247661352,2.1275151474401355,7.1470996737480164,1.3042726181447506,0.90990336611866951,2.7458814764395356,0.029996009543538094,4.1429326310753822,0.26876290794461966,7.0981959253549576,9.3789729895070195,2.3991080466657877,1.808959087356925,3.1753953639417887,8.8699066173285246,6.5205868566408753,1.5033505950123072,6.8134621344506741,3.8581470353528857,3.8772533694282174,4.9974103225395083,1.4753300324082375,5.8718662289902568,8.4557565907016397,5.9010860975831747,9.5540882600471377,5.5614613834768534,1.4815156208351254,9.8330509662628174,4.0876669343560934,1.4181977137923241,5.6489868042990565,2.5212640641257167,4.885145490989089,4.6403052844107151,9.6109514031559229,1.2603080598637462,1.997571992687881,3.1924967374652624,6.2926915613934398,1.2671215878799558,6.5125374123454094,6.2163402559235692,8.0307299550622702,2.4784175818786025,4.7643180284649134,3.8931416952982545,2.0325033459812403,0.28375181369483471,9.0167349856346846,4.2649741284549236,1.4202103205025196,9.4748677965253592,4.1031303536146879,1.3118853140622377,8.8564837072044611,0.92173629906028509,1.6219855193048716,0.71063565090298653,3.6533902864903212,2.5305736344307661,1.3510936824604869,7.8315316839143634,4.5530728390440345,3.4952414454892278,4.5230016903951764,8.0894458666443825,9.3167439987882972,6.5164605481550097,2.1524838404729962,6.7959236726164818,9.0892188483849168,2.5012559397146106,8.608598355203867,4.7126232832670212,5.0595587491989136,6.0039373813197017,8.1756148254498839,7.5584353180602193,4.622449791058898,9.5136744994670153,6.3273869967088103,4.3933032033964992,8.2469738647341728,6.8898091278970242,7.0220664842054248,9.871454993262887,9.5441490225493908,8.5126966796815395,2.8931620297953486,5.3742574108764529,5.1443466590717435,1.0343392798677087,4.1402848297730088,5.7671663956716657,8.7656571855768561,4.4003865914419293,7.2974768001586199,8.6926373746246099,7.1564233442768455,8.0072032660245895,7.0653547393158078,7.417158973403275,0.19092403817921877,8.8603111682459712,5.2498740516602993,4.6332273399457335,0.65193872898817062,7.1342232031747699,4.8894315911456943,6.6767906490713358,6.820491193793714,1.9955474697053432,9.1663389513269067,8.6588266864418983,8.9001867920160294,5.4394830670207739,1.3919499889016151,4.5034743612632155,9.8936249921098351,2.1553198201581836,4.4602342648431659,3.157324125058949,5.1465945737436414,8.815041184425354,4.3972556246444583,4.6753178117796779,8.0664991680532694,3.6515806009992957,2.1151895727962255,9.9911665357649326,1.5360447950661182,6.3048826949670911,6.163503653369844,0.0059504248201847076,0.0087899994105100632,7.7335201576352119,7.2733498970046639,3.1917758798226714,4.1772371577098966,6.8249423196539283,6.8056198349222541,2.0526188006624579,8.3641987945884466,7.0892061060294509,8.2870795158669353,0.9454880328848958,0.81737609580159187,7.6400485308840871,6.2957183597609401,2.1385217737406492,2.1354679949581623,0.81060797441750765,3.8882323773577809,9.52159667853266,9.4754506135359406,3.89853585511446,2.6921474188566208,6.9216897897422314,2.8403503680601716,7.7686582133173943,7.8386520221829414,4.2245981749147177,2.8215588536113501,1.9396747276186943,0.11316226795315742,1.9182383734732866,9.8323579737916589,2.4405424669384956,8.1972609320655465,1.3645493797957897,3.9814369054511189,6.0101010743528605,1.7688036849722266,8.2835471676662564,1.5773117961362004,9.8793700011447072,2.5716865574941039,2.3359919292852283,1.016373778693378,2.1941064530983567,6.3471743930131197,6.9600730435922742,7.9476981237530708,6.9624281162396073,7.5294041261076927,6.6952064167708158,6.3342990633100271,0.5644066259264946,5.9821663610637188,2.2700772155076265,3.1877788016572595,6.998344399034977,1.1743693519383669,7.625707215629518,5.2612327644601464,5.5391134554520249,5.8798891305923462,3.2966638822108507,7.0298941154032946,1.4304526010528207,1.6168770892545581,4.8532517533749342,8.6022569518536329,8.1326571246609092,5.5683578224852681,7.3899660864844918,3.1600733799859881,1.3533221557736397,5.2854826766997576,3.1073886575177312,5.881191217340529,5.1808358682319522,4.3084779195487499,2.5884275743737817,3.7022627564147115,3.9301760355010629,4.4686594232916832,4.7589622344821692,3.8783121854066849,2.792930481955409,0.78263208270072937,3.6974200746044517,2.5392228132113814,6.7178415134549141,6.7623692099004984,5.1393637200817466,7.2860836330801249,7.2076781978830695,9.447528226301074,4.6069733798503876,9.4016311969608068,3.2156008994206786,4.604341727681458,5.1714531751349568,6.6135549638420343,4.018329051323235,6.0563970357179642,9.8650267068296671,1.5039388928562403,6.7009840020909905,3.4381755860522389,5.4171016858890653,5.2280771313235164,8.2923870673403144,0.14950568787753582,2.742097326554358,6.429788856767118,5.4613660043105483,9.1784771857783198,2.6661332091316581,9.7008667374029756,2.4673314532265067,8.4397536842152476,6.9402366550639272,4.5575159741565585,8.1710133142769337,0.2208370016887784,1.6074891109019518,7.0694995066151023,7.0782630052417517,4.3663844931870699,5.8242111653089523,7.5171009264886379,9.9153303215280175,6.9567915191873908,2.7951174275949597,7.5386274605989456,1.7117892857640982,0.042539234273135662,4.9569107592105865,0.79916884656995535,1.6308105550706387,9.033011831343174,7.82992007676512,7.4667914677411318,4.3642567610368133,0.063416901975870132,5.8478720020502806,5.1847842242568731,0.66849766299128532,5.4402271239086986,3.8973141089081764,2.1582589205354452,3.8576943287625909,6.2686137016862631,6.5905332984402776,7.0931984623894095,5.3866128902882338,2.8028892306610942,8.1593216536566615,3.7190968636423349,6.8610163405537605,3.101689382456243,0.093475216999650002,1.0379728442057967,5.2096006879583001,7.7588032837957144,2.206851476803422,0.55278790649026632,0.70634870789945126,1.6027391934767365,7.2376373037695885,2.9702210985124111,0.50602594390511513,4.7780431713908911,4.5716189593076706,5.1998848607763648,4.4648957625031471,1.5031153336167336,2.8594238590449095,8.336821342818439,6.9563739933073521,5.7777599571272731,6.8116446537896991,3.3117495523765683,0.57475271169096231,9.8688298836350441,5.4239314887672663,0.016574161127209663,8.5619261907413602,0.29355479869991541,3.775504045188427,4.8965170281007886,5.76172960922122,7.389587271027267,6.7933219857513905,5.3626676881685853,0.35587701946496964,1.2250689323991537,9.7335564158856869,1.8827579682692885,3.5131874354556203,6.1412551952525973,6.076114671304822,1.2593281734734774,5.5286214221268892,9.5402849512174726,3.5692497761920094,8.3810163894668221,9.7425233572721481,2.5901419203728437,2.5152759766206145,4.2433587461709976,8.130480102263391,8.9791423687711358,2.4458622094243765,7.6061729341745377,6.9485641969367862,4.5185122964903712,2.6362024759873748,6.6550345486029983,1.1657104548066854,2.0956230582669377,1.1367566930130124,5.4697483638301492,0.060793701559305191,1.7597425822168589,5.9935930883511901,4.3190828245133162,0.82506539765745401,6.8741448828950524,3.7531006149947643,8.3620655862614512,1.2363737402483821,9.7334620263427496,0.29635292012244463,0.80353081692010164,4.942446262575686,7.6943737873807549,9.3403047230094671,2.5015527196228504,3.5965782776474953,7.691140566021204,4.9995533097535372,7.4925161525607109,6.7190347239375114,6.8166578002274036,7.567701768130064,0.36367618944495916,2.3057188466191292,2.2166731720790267,5.6260204780846834,6.5262191975489259,6.1661042785272002,3.7146574631333351,2.2480119531974196,2.3369149817153811,6.5301159769296646,1.6592753631994128,7.4410422751680017,1.5975769842043519,0.47638602554798126,6.6199351102113724,1.2494491320103407,9.4915714720264077,4.8418046301230788,6.2104563694447279,9.140249858610332,0.17944519873708487,5.9354565758258104,7.2187163541093469,4.9658200098201632,0.53694391157478094,4.4163260376080871,5.1917486405000091,7.7194415125995874,0.65356267616152763,4.4279033597558737,9.7718020668253303,4.6774136088788509,3.2905610324814916,4.4592986674979329,7.4327395344153047,2.0534130884334445,1.713793370872736,3.7251976691186428,9.3972540274262428,9.6485124947503209,2.5495747802779078,0.70335208438336849,1.2384877353906631,5.2633784012869,1.6008316213265061,5.1770721608772874,1.0518483817577362,8.4157604305073619,3.6856214003637433,4.2389047564938664,3.272275566123426,7.1354654431343079,5.7677586004137993,8.7188422912731767,7.5824576616287231,8.3659783331677318,6.9979110220447183,3.8906022720038891,9.3524160142987967,6.0560255125164986,3.6208362597972155,5.395046747289598,4.5507239177823067,4.0169217810034752,2.4044047622010112,0.83085712976753712,4.2157865036278963,4.7237994661554694,2.8976646438241005,1.049691429361701,2.163861496374011,8.0201864894479513,5.2743909182026982,6.6882035089656711,8.6364275263622403,2.4375031609088182,7.1156444679945707,2.6366292731836438,3.8282150309532881,0.8100551925599575,4.5976276928558946,2.328669810667634,7.9535261122509837,4.9134308472275734,0.032287808135151863,2.6611915789544582,6.6468883119523525,4.2519110022112727,1.8682474410161376,9.6347557753324509,1.3403914170339704,7.9585565766319633,9.4604457356035709,1.7115523293614388,6.0600129701197147,0.63803622964769602,3.4749166807159781,2.9246799880638719,5.0965822767466307,8.2583651645109057,8.3433845639228821,7.2644311469048262,3.2943428819999099,8.0208435514941812,6.3176327338442206,0.45340716373175383,0.41420438792556524,1.5331511059775949,7.6706501608714461,0.61731379944831133,5.193032156676054,9.2914978927001357,2.2051553288474679,2.0456291968002915,0.88992663193494081,6.9969098921865225,7.0646127359941602,4.9463091418147087,2.6177851902320981,7.1157127153128386,3.7836619513109326,2.0064452942460775,2.3260760959237814,4.3609623936936259,4.6949849370867014,8.6118743568658829,9.7723832400515676,4.4451920269057155,0.34243099391460419,5.2377174003049731,0.31638791784644127,7.5317377177998424,5.9158820053562522,8.2289103185757995,3.2957887044176459,2.3207809403538704,5.3652826882898808,4.3061840767040849,4.0358108654618263,9.8732473980635405,9.669096521101892,8.5053058294579387,8.6751422611996531,3.1160518759861588,1.4839040860533714,9.9759859079495072,6.3952329801395535,4.6807472547516227,9.3191472394391894,6.9077261863276362,8.1540676672011614,5.4153464641422033,5.7280652178451419,1.5921611525118351,9.452502722851932,8.2133369473740458,1.5541387954726815,0.41074767243117094,3.4361337637528777,1.1001942865550518,0.96538274083286524,5.1877327309921384,0.22405038587749004,5.6148371938616037,8.5687611717730761,5.1690810499712825,6.7452473193407059,7.3717489466071129,6.9846033165231347,0.22799546830356121,1.9198375614359975,6.7099100770428777,3.4587173722684383,0.66290278453379869,1.4071048470214009,9.2111748969182372,2.2165645938366652,3.8011459587141871,5.8601578557863832,1.6731280647218227,0.26339687407016754,6.91126455552876,7.6234388584271073,7.1369532449170947,0.77324317768216133,5.8980933530256152,9.2550304578617215,9.2969777109101415,4.3044600263237953,5.0596961099654436,8.3125597843900323,9.1923612961545587,6.0163764096796513,7.2383645689114928,5.1933663431555033,4.9081700574606657,1.6141941538080573,9.7611556807532907,5.7436028122901917,2.7325111115351319,5.3142729541286826,6.9855816289782524,6.6704929061233997,0.97432542126625776,5.4873628448694944,6.1073766648769379,6.6796543821692467,4.9512533936649561,5.7158260745927691,5.888880412094295,4.4131321553140879,1.5121689019724727,5.0227472838014364,7.3136381572112441,0.31656548846513033,0.5161671107634902,5.2206346392631531,3.2064229529350996,0.35059507470577955,2.4514233227819204,1.0718051809817553,3.829685146920383,5.5182942608371377,5.9716850752010942,6.1111056385561824,9.3525150371715426,7.7203029347583652,5.1314849033951759,4.8668115213513374,6.501277438364923,6.9699574774131179,4.0753774298354983,4.8684951383620501,4.7978285513818264,7.1045006206259131,5.3419864596799016,2.7664696471765637,6.0553817451000214,2.8010372864082456,7.0336945820599794,5.3048957278952003,9.3825402483344078,2.3540271865203977,4.1349422698840499,5.974762300029397,7.8300233511254191,9.2025236412882805,6.814911151304841,8.2117733126506209,5.2741299849003553,2.3026974964886904,1.436841506510973,8.9952111709862947,2.5142211653292179,6.515145362354815,0.048156087286770344,9.3593594012781978,2.7535305311903358,8.5876592621207237,2.7892856718972325,9.5243094023317099,5.0681995274499059,1.2294975155964494,4.164754250086844,7.0247138012200594,4.3649120815098286,1.077388096600771,7.6617479976266623,0.9986560745164752,4.4126522121950984,3.4457648964598775,2.9706417676061392,7.5762114021927118,3.385095945559442,3.3075835090130568,0.55606186855584383,5.7318291673436761,4.852860402315855,2.0248197019100189,1.1447458481416106,9.7434786707162857,8.6460949806496501,4.9184074439108372,3.6739483010023832,8.0491236969828606,1.6220381855964661,1.5957980137318373,0.57722928002476692,1.4925138931721449,4.6810142230242491,3.806083002127707,8.8370465440675616,4.2413353035226464,4.1224794974550605,6.5129459882155061,3.0832749092951417,0.60142465401440859,8.1441647233441472,8.9765689801424742,9.1949195042252541,9.0121794724836946,7.7004645625129342,1.7079624207690358,5.7244192296639085,0.31403776258230209,8.0326781747862697,5.2221464971080422,8.6162177613005042,2.7719816099852324,8.6949407123029232,5.8686197223141789,3.8917188625782728,8.1189538072794676,5.2567024854943156,9.3987148394808173,4.2003807099536061,5.798625061288476,7.491450454108417,8.807840826921165,3.3808469958603382,1.8954858835786581,7.4312601378187537,7.1891944762319326,8.7916182912886143,0.7286904938519001,7.1011358685791492,8.7905987817794085,3.5937941633164883,0.8985309861600399,1.6102914232760668,4.1679636016488075,0.96428553108125925,6.7469284264370799,5.6261159293353558,8.1304683675989509,8.7819178635254502,7.6936009991914034,6.3520536199212074,8.9652397250756621,8.7841295078396797,4.864707007072866,1.1307059461250901,3.774845371954143,3.8261959748342633,6.8757789814844728,1.2173956213518977,0.76821758877485991,1.4330205507576466,4.7764077968895435,7.0858797011896968,2.3801933508366346,3.9096661377698183,9.7588080912828445,6.2876665638759732,6.8119882699102163,9.0869056899100542,3.6240014340728521,8.592130821198225,7.9427791200578213,4.2887329729273915,0.73510955553501844,4.9863056279718876,4.8387283459305763,4.5073479227721691,4.9965733056887984,7.4075878132134676,9.3284346489235759,3.0012174649164081,1.4619563380256295,1.1001846380531788,0.80322036985307932,9.7247624024748802,4.08177450299263,2.3841037414968014,9.6316019911319017,8.334740330465138,1.980799357406795,1.2948154378682375,1.9630743842571974,3.3911915728822351,5.7567919697612524,4.4026808300986886,5.8567459229379892,4.3287726538255811,3.6820267233997583,3.823168994858861,6.0013265116140246,4.2947276635095477,1.4878742164000869,6.7019666777923703,9.9540061037987471,6.9806644460186362,4.0273988666012883,8.4927824838086963,8.1952718365937471,7.9338217666372657,3.7424939638003707,0.096078882925212383,4.7977860737591982,6.3905792171135545,6.4649520395323634,6.4489790145307779,7.9903476871550083,3.7736405478790402,3.5767177352681756,3.8950046431273222,3.3430675230920315,6.9358867686241865,1.4489745488390326,2.9152536764740944,6.6685633128508925,8.5436512716114521,3.1469888379797339,1.4414245542138815,6.022493951022625,0.05588197149336338,9.2082953220233321,3.8195493118837476,5.1653147209435701,3.4445553226396441,2.6413345616310835,2.9099980043247342,8.3364814566448331,1.2439070735126734,6.3461942598223686,0.48697450198233128,4.5804586261510849,3.7681655678898096,1.5587290143594146,7.5585565343499184,6.6597319720312953,0.11530605144798756,7.9488075850531459,5.6091441959142685,2.8865446290001273,4.1556021943688393,3.2061132788658142,5.1459029875695705,7.1915523521602154,8.4204390365630388,2.3189534153789282,4.6500704204663634,3.7335931695997715,0.50043068360537291,0.73850327171385288,2.0244934735819697,5.6618263339623809,8.3152392134070396,4.22552480828017,8.3954858314245939,2.9304344579577446,1.811957829631865,3.5752568021416664,9.3411015719175339,5.8941923221573234,3.6904046265408397,4.6305871522054076,6.2783033540472388,9.4445206038653851,4.0578630799427629,0.50481635611504316,4.4485011743381619,5.9592719143256545,7.4831107072532177,8.6417153663933277,1.3102306053042412,1.0457936022430658,6.6530810808762908,8.333778353407979,5.8128509484231472,6.5859356382861733,9.8203242151066661,0.18916015513241291,9.2147287866100669,1.9467886723577976,9.6772315492853522,5.2307245740666986,2.7879572752863169,7.1979475533589721,5.9045856352895498,8.3708185190334916,8.3469149051234126,6.5988757321611047,7.3044820735231042,6.4302668673917651,3.4952905774116516,5.348761910572648,6.6414728527888656,3.2342887995764613,8.691879790276289,4.4237031973898411,9.1796731483191252,2.7666756417602301,9.5175327127799392,1.1723781796172261,4.1600740002468228,8.363754702731967,9.6253542695194483,3.3292831433936954,5.2618170715868473,5.3595633385702968,8.1810732930898666,9.2989009851589799,6.6289303405210376,2.4322850164026022],"C":[7.8263692557811737e-05,0.62474224572749237,0.5416993040628586,0.5693024803115877,0.53333609621558908,0.63333799936827395,0.46479211560374273,0.49402641732794939,0.48978132162340737,0.4713267756612336,0.42650799282388008,0.43879892738267934,0.53819784988686925,0.34450446958007852,0.52394060415374111,0.50480910732250361,0.54732970370323775,0.076981194992323268,0.42689542898598026,0.63624199057505748,0.56035086837507297,0.45513770200379294,0.45250740283458868,0.47333986531403199,0.47774723394753715,0.47760255237783111,0.77007223451364493,0.45485316812899512,0.56845036514685909,0.54391647227635231,0.46580671984895594,0.4940447975579968,0.38225250119658305,0.46873541604220942,0.48807242060838624,0.41029833667656601,0.50142982384597035,0.53976365714090047,0.48943204626393155,0.57542972185076335,0.48583300275283409,0.52424649734822082,0.51491423371224498,0.53905656811671632,0.46869235207397353,0.67836994299546516,0.49142803259540863,0.48529355247031525,0.40710464253147982,0.42722181732875775,0.46168665432967104,0.43622787456356915,0.57487421863502153,0.42254604690248454,0.58718774490476922,0.33297596197841411,0.46683188140307808,0.52788651259110586,0.46976976767336831,0.58584399840362689,0.50889737519526845,0.54818785732712927,0.4475445445833281,0.47547044825791657,0.52765993015181334,0.53728533789787858,0.38141483930748205,0.7669050993188461,0.50919472215502593,0.68544964013608245,0.5632387223073454,0.42389249349335623,0.44045664023720155,0.47551791884393402,0.50527896371484182,0.54352781968492969,0.52544507234238991,0.49311992165382962,0.50085974164648428,0.46372704883636484,0.52824229914458321,0.67724980210587682,0.15865219399662733,0.46229395888097913,0.46976465682322904,0.47207126859529336,0.48671066382598577,0.53622707451943374,0.49450363913213752,0.46427437692864365,0.6093199253657352,0.58731969220939717,0.54171575092720659,0.46866859340518757,0.44643604384087981,0.47627559461266183,0.57708706212954819,0.46382787753795807,0.38966938748230462,0.57102800840865608,0.55784904781829714,0.51216967603730512,0.53821404033654308,0.32821826986359504,0.41232688806146151,0.5484736331988701,0.5224170568346842,0.3295653527360608,0.54567180009430039,0.56182729676557042,0.46961727866490871,0.49937007560072183,0.4469958169840485,0.46920713449121876,0.44915958225476299,0.46266306091336679,0.36695397809718222,0.60194390381002483,0.45579330704845566,0.63475719165143518,0.76760162609722404,0.42012726040876569,0.029996003551740563,0.57458521403592433,0.26841710589655382,0.47477528775726857,0.49801968570705368,0.5557896128799289,0.33714088378151252,0.49007761457071375,0.46875488708324153,0.46477366654332697,0.44217588870801516,0.47143330238411707,0.41925588124362284,0.41803303352480736,0.56357853288300686,0.46854773237177483,0.46333934665105436,0.47325715958814552,0.44828306751364544,0.46981920439406144,0.44319484129447695,0.46262374789712774,0.5285313786294934,0.56915102218683056,0.52490765218735691,0.491599235990411,0.43853919062625363,0.48541056444190722,0.54669250651319734,0.51810419482296755,0.67199199130405474,0.48582549285634807,0.47339414647295425,0.46981480085987037,0.66649896537339526,0.47075791498039921,0.45687491441532896,0.52755870906698354,0.47795416050732836,0.44099219521309524,0.42038609017626272,0.52052853298171942,0.28329827809956876,0.53147790564645558,0.47931687078671109,0.52289554867493004,0.51183207465915237,0.57455550591246818,0.62791541204456225,0.47732178418760646,0.77056693445285207,0.35241574526047303,0.66720239710983165,0.57542786403572255,0.43084342289993127,0.59121460809667348,0.53531595022214684,0.56325424164638493,0.52813049935579537,0.5454817809468363,0.53047244298737806,0.46751812719620484,0.46773079305860077,0.6172402699706645,0.48692039823971517,0.47130328039869124,0.45625506233167334,0.4939160564275854,0.47916694913172519,0.53766193593408707,0.50346523368270413,0.46232730483867063,0.54128265310787294,0.55824942465088678,0.47605549827362303,0.50243005393321394,0.43501112386374585,0.5005819320425845,0.46559952374363511,0.54021203245652261,0.52473009603833398,0.46697184855644364,0.52486788842959353,0.55678401490506846,0.55808453450566586,0.45933967183337854,0.77802180808356225,0.57521511643417622,0.55084266367009294,0.53508587142076236,0.43854095807243465,0.54031191719190541,0.47662699822107341,0.45793318750636464,0.50696613688023195,0.505984163426764,0.45709415844360501,0.19086145222301729,0.47449709719248923,0.46091430111633919,0.55169205553266021,0.62347370192258011,0.45601381248714512,0.48962687577932346,0.53743406663479043,0.46624803051255831,0.48380145559208559,0.50105575060281926,0.46327443506643368,0.46617917099496825,0.53577340018231889,0.55111930845808244,0.52920186030433369,0.50594183091506484,0.61876249592150989,0.48702501771799078,0.50810964304740713,0.45769115088103501,0.51627428715538848,0.43690672029377836,0.51595286402098595,0.53925099959325895,0.57635064271479863,0.59323288907368854,0.49117810107744186,0.41330088826001121,0.48042323637212664,0.50134238777985651,0.0059504248183440229,0.0087899993975626214,0.48752475346007007,0.5431971239363792,0.47408322409075282,0.55883728980085334,0.46335551261466512,0.47798125888778309,0.53990006379420152,0.50257282594996189,0.48263587427147731,0.5334441818175949,0.77532117726150684,0.73182912443909143,0.47729898587008635,0.47230983487298389,0.60909343513127356,0.60717196641595428,0.72840761328951709,0.41933453071772381,0.4712643548222083,0.51128414259389143,0.42187089638549058,0.38927640011405651,0.49320386483031436,0.50752057743057288,0.52133544530139919,0.53123913340741269,0.51919031134927962,0.48875568205123487,0.42933028520107092,0.11315768927799948,0.40993468614264628,0.52819951655263175,0.51558179169293705,0.46292479753090299,0.57816423840102815,0.48003025165441326,0.50957154451227937,0.32474468375312182,0.53158227494807864,0.38088374724676194,0.51894282403637304,0.40228812930307828,0.60670669381651743,0.77947006507921079,0.63470464297881901,0.52146316401097392,0.52906195728027661,0.46125270991149164,0.53083074740241476,0.53730747318652261,0.54567584225438881,0.50928279110141184,0.55043760722953139,0.48203106716257393,0.63674333474706946,0.4779305191944721,0.5454369592221332,0.73080370922536553,0.49038852802450333,0.47030363746921022,0.44986669037314264,0.45790710345748298,0.40632467342079004,0.53597742729294973,0.51266676263011046,0.35527001581485917,0.45707025724733735,0.50022743789575475,0.49163957324245799,0.44285095389121826,0.46484490530178291,0.50536220882503935,0.58906654819371385,0.49330755045301072,0.55540118719104103,0.4571102818132336,0.44066965500778826,0.44370397458858485,0.39369867385493962,0.53993221999221397,0.43711565078155318,0.49539628219720044,0.44362150821895513,0.41809486728804252,0.46070324196042106,0.71322320007460915,0.54420727396707014,0.42405843800111243,0.54646789458790768,0.51969024093379868,0.46318464728865372,0.54331093818192233,0.49630902474873406,0.53105497253602696,0.56516519604071813,0.51939657079015811,0.45232477677866978,0.56602572029691522,0.44367136369560989,0.4805055524410935,0.51659289481441339,0.54582452700264295,0.52835551510724255,0.44163632416361676,0.54689570266228171,0.47200195123200867,0.55065179308964163,0.44691444596453689,0.53570463752760655,0.14948725880217661,0.41733059456019694,0.54271216025050162,0.51627945936921926,0.51286929452162933,0.38211743012875454,0.49462993252851206,0.48885616116600045,0.46465024795820709,0.51159166162542291,0.56494969895330394,0.46372735165748852,0.22070743869606657,0.36079784508108331,0.50185439387297703,0.49312183361545431,0.42741914433218114,0.50723403128037015,0.53009102450529977,0.48490218542561292,0.52646890776332578,0.46278998258347948,0.54067722717813316,0.32216764259704078,0.042539199902470876,0.5496334153727197,0.72239808523022897,0.34774819997689355,0.52103209473771217,0.53609289152038475,0.48364678575371678,0.42723214540101995,0.063416648892235708,0.48386049889500882,0.43981770482004429,0.63629948219830446,0.53517697633866246,0.42150465802400516,0.62029128694172564,0.41933822746233218,0.45441991428007666,0.46233393796817418,0.47903854060832413,0.55906964853306418,0.47029894365036212,0.46949885546841497,0.524217886817963,0.45388543166014794,0.56020380469195452,0.09347345616580717,0.77760255095599495,0.44023815268010463,0.51241067341447377,0.63783204010613248,0.54018705273706802,0.66418044208133586,0.36373024909795992,0.52469101175460653,0.60158278477482463,0.4979004305673318,0.43603228874682376,0.5685517302251506,0.4388803526512064,0.49164370459331791,0.44239184356577066,0.52622280529323895,0.52701054259798696,0.52612884207195043,0.54572751562760069,0.47288510551796753,0.40438423486012393,0.55946892009261995,0.52633766289122086,0.54679728545252537,0.016574160818608515,0.53302194616089449,0.29301737443896436,0.46896489515761919,0.49667862678862279,0.55275457403500439,0.46506330959259273,0.48943286495161298,0.55486325554167848,0.35447115408312962,0.69856392273492995,0.4699885092037403,0.38089688244294395,0.54434756166457521,0.52282441043604022,0.55189669026107735,0.67277294155188805,0.45570547905981373,0.466645228881304,0.58079254222194932,0.48609977437287283,0.46762203484250348,0.39293094882294738,0.44368481297956153,0.50060260321824757,0.49377620058296406,0.5293963441816677,0.51026862684019325,0.50974533759480689,0.51939509060448041,0.54201088213455439,0.38076897919577302,0.5206956636446175,0.73554606288180246,0.57802653316420505,0.74970322531728295,0.50807220694414368,0.060793496663997713,0.32314960994642028,0.49314010629735167,0.43759379794339576,0.73559245133662343,0.4572126252180716,0.49051101617777931,0.50469690321524807,0.69038861019392561,0.47002583220572375,0.29578940814241061,0.72472280661918009,0.53941635797129917,0.46065774308365193,0.46829478090530957,0.4559821431850693,0.58767241313241603,0.45976318121325532,0.56362962163506092,0.5088880568938996,0.54621234858400003,0.46898769053381556,0.53842476411966811,0.36210963219515135,0.62394030014125412,0.63949145991248835,0.47012127802497067,0.46115009211496338,0.49874211167993587,0.52847103435029708,0.64030516909812041,0.60609734167562568,0.45894506602177287,0.33508583699282513,0.46408225953862492,0.36701749708279924,0.47036764412979104,0.48650857006417159,0.68051618952073589,0.49539589631779979,0.44900471930282276,0.46028406463099286,0.47704217780682906,0.17939929505445051,0.44966436933878956,0.50730602139724645,0.55469304521611518,0.52603552244455265,0.44855731408767691,0.43892483086072787,0.47505633489970356,0.62474730127487954,0.45741129123849161,0.47646598067566126,0.51390176962330048,0.40776881196593573,0.48610348095026601,0.46023375382645104,0.54064953500650847,0.32195916509744221,0.51827724151236443,0.51566530636017283,0.53264857512391839,0.41644761423094201,0.66205093818448635,0.68882228051933292,0.47220270395412894,0.36493292911052488,0.4417106402077563,0.77560764043546548,0.46364493452838251,0.55403383927660643,0.50505503924855433,0.41428345512157999,0.45583106843338006,0.55060438213394491,0.50089137647535242,0.53013800781966725,0.50079485371004007,0.5454191229501808,0.41980622848236282,0.474661499968694,0.54564436711005748,0.58680590658138521,0.55826276419660459,0.56225342994032723,0.51522017079237137,0.55083977546569862,0.7383384808543203,0.52760777791400482,0.46893235785487825,0.5604941301720997,0.7759588340591258,0.62306555899394089,0.51913216763464998,0.48243504490639078,0.54329466288955885,0.47069657208987598,0.5186112178998471,0.46267683728515585,0.38073595338539529,0.42977358907136654,0.72812371514644003,0.56778715886973863,0.61137140533884293,0.46315816677707983,0.51347274094555995,0.032287799476854062,0.3813820354749442,0.51310868778622709,0.49207394554809852,0.37036102402243132,0.53181509632592927,0.60144797624374502,0.46543056160503998,0.52387404252819403,0.32219371256042073,0.54745644067440624,0.61243594721686578,0.50837732881887321,0.58028211695835463,0.50319917400357617,0.51177323544916142,0.52197735158473091,0.54093930941673274,0.40682975133957028,0.51970358925072246,0.49269907476431352,0.44870188898401803,0.41120624061810096,0.41575621338225688,0.45988461941409131,0.59555849366667257,0.43884608728088353,0.4830464037482109,0.63747883178497577,0.53324943910073141,0.7617248505828198,0.54536215420409173,0.50671939761322304,0.54236556256717616,0.38361519040045722,0.46263962655003898,0.46161518817543368,0.49469693448647228,0.61295033115630304,0.42706475915068975,0.49641313049985708,0.4907157584654756,0.47687290179799663,0.47256356959483542,0.34127108746961132,0.45236764800517887,0.31560657417627092,0.53833563031754605,0.44620948485877754,0.48309100407497851,0.40650872806815569,0.61605125307453967,0.55577894236848158,0.44518513356942929,0.53303244582268505,0.52353791887944967,0.52366687343608653,0.51891952288895915,0.46622270460837623,0.54779348200651012,0.46035037974676474,0.47809476535961626,0.54907792024476876,0.51061473495410825,0.46686269646540468,0.47988825004878127,0.47302198526154182,0.55153450009575178,0.55295970675534245,0.37057584898675427,0.5287792333794481,0.47076646001150152,0.39845864996982477,0.40787223987506027,0.47004666748571844,0.76374367155766709,0.77803452880084112,0.43934405353557038,0.22391112048010342,0.46120080708755989,0.52931854488534602,0.44464181810592734,0.53368209332658356,0.47808265369707803,0.54288715851022462,0.22784350568235329,0.41133932295365921,0.54741305360803394,0.49220610838635881,0.63200633052952382,0.53599913315089831,0.53351490335848417,0.63947673529688887,0.44721699516580971,0.472683002838797,0.33031763356422394,0.26308422722659269,0.48313728931829475,0.49260646301120736,0.4556573274404932,0.70776681833326804,0.44918466229918824,0.51782105879137641,0.47853284810338603,0.44633375312796997,0.53755083036024631,0.53785862342879909,0.52437311795975061,0.51564850672264806,0.52528689720482002,0.43882998760058711,0.50830040758422323,0.35681285776668203,0.47045180006586895,0.55538690990050144,0.41063065640148072,0.52154617795329805,0.5432018385801558,0.53325379799350503,0.77886736225619091,0.490529718494082,0.5466280643696938,0.53912195782403183,0.5459129178260137,0.54812063298877678,0.45292919211090588,0.44633543089496097,0.43415862115820519,0.55960435920602913,0.53146461487721963,0.31578195172778367,0.50719964297056597,0.44360139049309627,0.46042895288367064,0.34929034885386706,0.50470805545404995,0.77163787546938145,0.42902695690477527,0.46289899356092346,0.4725372236867193,0.54481750280485164,0.4747279836680528,0.47575037489050198,0.46974776040375715,0.46826433661749489,0.48042977071635506,0.535911155906442,0.56288231387327137,0.46975719894236928,0.43369573260816974,0.46985371607905912,0.54404126126033059,0.43669544597603382,0.54532676828640747,0.46849751292275077,0.53352754090082255,0.51259998231644888,0.50158529335051028,0.5939813098462986,0.57621476058587173,0.47523204821127657,0.53604478773220876,0.53041522683024911,0.47030697275070787,0.46975840319211637,0.48218472286871444,0.62535143415312144,0.50630220663783876,0.53504247366917945,0.44460596932516722,0.46872316648155771,0.048156023387565756,0.47980742927260478,0.42602668010995742,0.51444462852096207,0.45725455836755041,0.46998268884134992,0.53035118742768217,0.69540200622247128,0.56612223172941234,0.5389077773899299,0.42728314772319603,0.77029403182683109,0.46301725709206953,0.77989056458063644,0.44601041189854523,0.47937153413334754,0.60169794852609026,0.53416335686243022,0.42780972484840302,0.40468566558823643,0.54308672555444648,0.55393962389472395,0.45677181403394118,0.51297169409776433,0.74606161097642765,0.46751134666647354,0.46593895843593919,0.51827939647736465,0.56279334194571473,0.53731525359029519,0.35238689407756307,0.36817409271067653,0.56161673122331379,0.45222645012620138,0.51035039227191592,0.44355283857553074,0.4948803024832874,0.50262596905707491,0.57711871346683108,0.47043343433333507,0.57443724287885112,0.5822972949236711,0.48093766144895761,0.52789027243429953,0.52611505659809488,0.53328875648699736,0.46298881595665276,0.32262533310388763,0.55177811281572064,0.31328498509045088,0.52891815903564299,0.44420816315910838,0.48659110319382604,0.44147689165509552,0.4784510474602533,0.46577505462884672,0.42005173823198705,0.5052592452621415,0.46641699547688031,0.51694298539154138,0.5413972480875735,0.53098826625428985,0.50784446489274893,0.52235273143484218,0.42507851357509102,0.39081269770826177,0.45970081789380962,0.47870828912130448,0.53251439219549201,0.67960340672295616,0.47241159672680438,0.53295365791676019,0.58734677252011769,0.76438815886103351,0.3591101189938351,0.56440888787909149,0.77791567777980464,0.5324754580183233,0.47020286997118621,0.49378777717350497,0.53560833117975615,0.46042189684354573,0.52574600321098464,0.51963197374459202,0.53512084881173938,0.46642724528092322,0.75232537326640014,0.4695726557419253,0.43083526299199326,0.45787356717378647,0.70391590374719848,0.70477485633979364,0.51010670225339938,0.43648388394578996,0.4857407582204683,0.57276727076558576,0.42599775352823555,0.46952898520192099,0.46591279785275341,0.47260738271967723,0.47268352511152295,0.58620347469952949,0.51022520601270449,0.46027989197501673,0.45809621593323324,0.68388093732972743,0.5621652827167497,0.44708833963847844,0.53265629525013469,0.56353900872860652,0.45794391329224976,0.46589129307509153,0.60571380362842531,0.48151510984106277,0.76374680285194685,0.72455869521013216,0.4744924028512158,0.56635319226609848,0.5693566943734788,0.53083211965237964,0.52844735964755596,0.46909897074190149,0.64310640197357261,0.45165363396004615,0.43197839464718818,0.55405022048219021,0.43981101566650477,0.47566863555524236,0.43314861068182142,0.55684101080802817,0.43250421115191862,0.50085784122670207,0.45335473067078536,0.45659006548986736,0.54703450910757079,0.46827612051661388,0.54142139535129985,0.52528401585898776,0.50728539325141109,0.46237357042503224,0.46004654956754587,0.5010831248285641,0.096076862814127389,0.43369446804686052,0.54812917499673253,0.51589055927075067,0.52997354416994136,0.49024417649824648,0.47068940928938308,0.58347295211658756,0.42086015587959108,0.4078897184949748,0.50734326730600521,0.49427118004104681,0.57389872700438416,0.53185269831122106,0.53725156328184176,0.51838842154371467,0.50174779793728985,0.5213556106357542,0.055881837031889467,0.53270837988114761,0.43461880137485381,0.44635177107832064,0.47818743728406377,0.38047171222750709,0.5700870955163686,0.52725078570613904,0.68475402412655462,0.52057659080380558,0.4802605087830995,0.56938115665216937,0.47584064701837503,0.39484276529298934,0.5412579115438968,0.52480771082753852,0.11530102233391802,0.46155338923392175,0.45721222077529838,0.55114943271279093,0.57036520242315036,0.46070912208493098,0.45819240076090462,0.48081138998991407,0.46265657609186767,0.61708269853214803,0.53900398057332966,0.50997185334840556,0.49274206984288926,0.68611367845437332,0.51264942109242873,0.50440671247483571,0.537352826079327,0.5182888991233332,0.47399039221907191,0.58387544533890956,0.33840811824645983,0.58299471310141648,0.46859825180480641,0.45059473738043071,0.55015826610302443,0.55342096673398733,0.45955630723484525,0.5321061458484988,0.55127109683903242,0.49678692144876907,0.47566690807824308,0.46266876028317905,0.49955427262738983,0.46782064127788758,0.62941138503655569,0.77655506890324832,0.51892367186170651,0.52908337235246794,0.51828224180171412,0.45960435901873442,0.52052945707193121,0.18910040697111458,0.53418885702599439,0.43600845270741395,0.51733334477181092,0.44828566803237607,0.45600726003335751,0.48676854727601859,0.44743141790274477,0.49596333609947246,0.51899312815332332,0.46813357483923657,0.53709292135124687,0.54246544391572415,0.52817680752955509,0.54825008425095512,0.5078361650515606,0.43723366219456006,0.47604681542616678,0.45406195098890689,0.51397022799520031,0.43687174532292838,0.47353607284573401,0.73191463588724126,0.56841318853466705,0.50301586017807853,0.5280664405959633,0.40509512156646876,0.47081727078497138,0.55363749592949951,0.46135008264259153,0.47707386504102356,0.49533970506004493,0.52379633598517428]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/huge.json new file mode 100644 index 000000000000..c7905e73cc26 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/huge.json @@ -0,0 +1 @@ +{"C":[0.5000000000291034,0.4999977375614192,0.500003092474997,0.4999950578425465,0.49999856902780665,0.4999959775613739,0.499996467110196,0.49999712897219106,0.4999969279688549,0.500003009640178,0.4999979467405627,0.49999814370270407,0.5000016180205809,0.4999987170219075,0.5000022672878716,0.5000022608443169,0.49999636967797434,0.5000032893351759,0.49999653796793325,0.5000033481065626,0.5000025185572998,0.49999676660971215,0.5000025264475633,0.49999745834993853,0.49999699517001467,0.5000023296506765,0.49999929232837387,0.4999995528038399,0.5000027252961282,0.49999810449933296,0.500001059269147,0.4999977488296204,0.5000024680904175,0.5000004627249983,0.49999869863698626,0.5000011978192438,0.5000018767578976,0.5000011643688262,0.5000015090928468,0.49999803733583736,0.5000015050266904,0.5000001021959254,0.5000018929630159,0.4999984369799147,0.49999877164871176,0.5000006962195375,0.5000004651402378,0.4999984044520849,0.5000013090643404,0.4999987209991643,0.5000014924424813,0.5000007576115955,0.49999845396455317,0.49999850419212455,0.49999924327314577,0.5000001819229325,0.500001023759107,0.499998705671647,0.49999962000099096,0.4999987439288013,0.49999880892950627,0.5000001755337624,0.49999903006750746,0.49999885369747255,0.5000002241320721,0.4999989160653036,0.5000008277153558,0.500000659550076,0.4999995703564999,0.4999991282533209,0.4999989956068069,0.4999997261784635,0.5000006823122726,0.5000009109040459,0.5000006796934996,0.49999950910092666,0.4999994581281138,0.4999995914243122,0.5000000477021445,0.5000007425148331,0.5000001068436317,0.49999958504819897,0.500000689630419,0.4999992501004111,0.49999967568552794,0.5000006310215276,0.5000006523762717,0.49999969108264536,0.49999965325018164,0.49999983965552336,0.5000000928255302,0.49999949398025334,0.5000004086871183,0.4999997709846971,0.4999996019232249,0.5000005655217525,0.49999946186443145,0.4999994624693002,0.49999964838432315,0.5000002012121051,0.49999960013856876,0.5000004780438154,0.5000004653232405,0.49999970171925195,0.49999959475099903,0.4999998194661803,0.5000001614470642,0.5000002677092518,0.5000001088920214,0.4999996531537858,0.5000002974957263,0.4999996947168733,0.49999986415382947,0.4999999804818046,0.5000002020369066,0.499999960664355,0.49999981503502244,0.5000002108763818,0.4999997215776508,0.49999990769431846,0.5000002957332021,0.5000000217638699,0.4999997688509579,0.49999971071847626,0.500000251880606,0.49999972993823494,0.4999998193521834,0.5000002489493562,0.500000181458191,0.5000000727546376,0.49999975257523527,0.49999979142787937,0.5000001817262208,0.500000230560078,0.500000206602825,0.500000184761704,0.49999987273359436,0.5000001894855008,0.5000000394701927,0.5000001375932209,0.5000000526841968,0.5000001025649471,0.5000000265361977,0.4999998945897301,0.5000001014322966,0.4999999353691031,0.5000001642475536,0.5000001278518856,0.49999989417874824,0.4999998675441824,0.49999985320837537,0.5000000211501135,0.4999999472898895,0.49999988914148413,0.5000000726324424,0.5000000982805397,0.5000001251630574,0.49999987067083007,0.5000001148057723,0.49999988441571386,0.49999996259221785,0.50000010551732,0.49999994345381743,0.5000000357406515,0.5000000289078221,0.5000001068928365,0.49999993864364684,0.49999989852121146,0.4999999785477065,0.49999997364723525,0.5000000450631576,0.5000000605313241,0.49999991163445284,0.4999999677841243,0.49999998870679396,0.4999999897664719,0.4999999738030019,0.5000000052841134,0.49999998872332474,0.5000000335778844,0.4999999711753037,0.4999999306864359,0.4999999273468764,0.49999998700445525,0.5000000648443882,0.5000000675523694,0.49999993668850873,0.4999999368226943,0.49999996000838004,0.4999999508134811,0.5000000576397781,0.4999999440746527,0.4999999556560407,0.4999999772287334,0.5000000450100979,0.5000000413923756,0.500000006069302,0.5000000389187248,0.4999999506582925,0.5000000477183689,0.49999996478618886,0.49999997599274043,0.5000000439212472,0.500000041503977,0.4999999839619982,0.49999998566141696,0.5000000372304747,0.49999997129179496,0.49999996065916996,0.5000000385523146,0.5000000360565825,0.5000000193472123,0.5000000357901108,0.49999997559077897,0.5000000157611172,0.5000000324243399,0.5000000008882035,0.499999971206732,0.500000006488907,0.49999997290935566,0.5000000235366927,0.4999999728977625,0.49999997472637897,0.499999983550912,0.4999999920689155,0.49999999761835,0.49999997914519134,0.4999999794311685,0.5000000246148449,0.49999998227878056,0.5000000052013254,0.5000000010743122,0.5000000224165096,0.49999999530639483,0.4999999793395469,0.5000000202723466,0.5000000129868597,0.49999998158745496,0.49999999996022887,0.500000001985974,0.5000000057143053,0.5000000181444293,0.49999999264789147,0.5000000037240004,0.49999998400771295,0.5000000067274573,0.5000000111729132,0.5000000039760418,0.5000000098977169,0.5000000089138267,0.49999998554816416,0.5000000142214326,0.5000000130994217,0.4999999985487314,0.4999999866417679,0.5000000073119354,0.500000011501829,0.5000000049948267,0.5000000117502317,0.49999999920124216,0.49999999277617085,0.5000000033097629,0.49999999710917126,0.5000000074080287,0.5000000066700606,0.4999999943506521,0.5000000091615492,0.5000000064885602,0.5000000086506664,0.49999999518848265,0.5000000074686745,0.4999999984627732,0.4999999962183002,0.49999999152200436,0.49999999368372644,0.5000000062318356,0.4999999921657716,0.4999999951737816,0.49999999434895076,0.4999999950642688,0.5000000042018867,0.500000006867504,0.4999999942563035,0.500000006730767,0.5000000006202365,0.5000000046206592,0.49999999421743835,0.5000000016417463,0.5000000059304339,0.50000000565881,0.5000000040212944,0.5000000022771016,0.5000000047513578,0.4999999950646428,0.4999999958274253,0.4999999994664076,0.5000000000397451,0.5000000008354529,0.4999999957685465,0.500000001596139,0.499999995588792,0.4999999998921754,0.49999999575452647,0.5000000031330848,0.4999999967733376,0.5000000011694828,0.5000000002005845,0.4999999966098067,0.49999999634793774,0.4999999997470885,0.5000000009779924,0.4999999993662541,0.5000000005318441,0.4999999970840725,0.49999999720574845,0.500000000510872,0.5000000010081957,0.500000002912342,0.5000000029551558,0.4999999971379915,0.5000000007693537,0.500000002592874,0.5000000001734846,0.5000000026245845,0.5000000022510623,0.4999999989037955,0.49999999872522494,0.5000000023861125,0.49999999788967825,0.50000000141429,0.4999999979045009,0.49999999845638116,0.5000000006237303,0.49999999993947075,0.49999999821851165,0.4999999990034042,0.4999999981183224,0.4999999987176325,0.49999999934446443,0.5000000012686922,0.5000000007650954,0.4999999996027726,0.4999999993080903,0.5000000015736292,0.49999999845672405,0.49999999844018844,0.5000000012571133,0.5000000012969116,0.4999999988107988,0.5000000004306924,0.49999999982309773,0.5000000005077433,0.49999999994843486,0.49999999874549683,0.5000000007512466,0.4999999990855601,0.5000000011229709,0.5000000010277224,0.49999999962116354,0.500000001116048,0.4999999998394987,0.4999999989327436,0.5000000007741959,0.500000001022633,0.5000000007449946,0.5000000005737074,0.500000000827578,0.5000000008546654,0.5000000004978594,0.5000000006430272,0.4999999993051715,0.5000000000330918,0.5000000001362539,0.49999999920208266,0.4999999992185323,0.5000000006814409,0.4999999993901976,0.4999999997104094,0.4999999993052189,0.5000000005911085,0.5000000002106352,0.4999999994631754,0.49999999961902314,0.49999999972468406,0.49999999949936874,0.4999999996507777,0.5000000005341828,0.5000000001695384,0.5000000000430879,0.499999999777331,0.5000000005089769,0.4999999995749808,0.49999999981799226,0.4999999995011132,0.49999999956497304,0.49999999953621704,0.49999999967040837,0.5000000002307223,0.49999999961227604,0.5000000000914168,0.49999999997822575,0.5000000004014656,0.49999999987448995,0.5000000003991814,0.5000000001793031,0.4999999997088415,0.49999999987115307,0.4999999996951317,0.49999999980638854,0.5000000003127459,0.49999999991002453,0.5000000002930104,0.4999999998321187,0.49999999968470993,0.5000000001381407,0.4999999997228748,0.5000000002488161,0.5000000000895312,0.4999999997332532,0.49999999976094844,0.4999999999559912,0.49999999973879944,0.49999999981933424,0.4999999998450273,0.5000000000950209,0.5000000000036693,0.4999999998499927,0.5000000000423706,0.49999999979979964,0.4999999998661774,0.4999999999966654,0.5000000001258524,0.500000000191757,0.4999999999099027,0.5000000001262241,0.49999999992050487,0.5000000000080143,0.4999999999468239,0.5000000000745644,0.49999999997759176,0.5000000000142251,0.49999999984865917,0.49999999989851784,0.4999999999195845,0.5000000001406665,0.5000000000233209,0.4999999999563175,0.5000000000322886,0.49999999996889893,0.5000000000014532,0.5000000000822801,0.4999999999887213,0.5000000000566448,0.49999999990342125,0.4999999999708194,0.4999999998831197,0.4999999999157556,0.5000000000887017,0.5000000001030398,0.4999999999380794,0.500000000103779,0.5000000000883206,0.5000000000054504,0.5000000000819528,0.49999999994099886,0.49999999999036876,0.5000000000189545,0.49999999992056604,0.5000000000601148,0.49999999992202915,0.5000000000206355,0.49999999992043825,0.5000000000354833,0.500000000014688,0.5000000000118151,0.5000000000175737,0.5000000000216297,0.5000000000681322,0.49999999994196553,0.4999999999334095,0.4999999999513685,0.49999999996021344,0.500000000062056,0.5000000000351732,0.4999999999578359,0.5000000000181309,0.5000000000362038,0.4999999999706208,0.49999999994657357,0.5000000000127629,0.5000000000349768,0.49999999995595196,0.4999999999856201,0.499999999953354,0.5000000000463987,0.49999999997576045,0.4999999999976186,0.49999999995925365,0.4999999999603568,0.4999999999819416,0.5000000000385688,0.4999999999611657,0.4999999999638576,0.49999999996453764,0.4999999999762168,0.5000000000009838,0.500000000019102,0.4999999999671283,0.500000000032815,0.4999999999674744,0.5000000000320872,0.500000000000181,0.500000000029491,0.5000000000086572,0.4999999999762639,0.5000000000270861,0.49999999997676897,0.49999999997286804,0.49999999997469774,0.4999999999756939,0.5000000000249304,0.500000000023008,0.500000000012267,0.49999999999063555,0.49999999998290895,0.49999999998559463,0.5000000000202506,0.5000000000006204,0.4999999999876862,0.5000000000103398,0.5000000000198704,0.5000000000080477,0.4999999999956649,0.49999999998506944,0.4999999999955902,0.4999999999886093,0.5000000000167254,0.5000000000164876,0.49999999998508615,0.5000000000142579,0.49999999998435923,0.5000000000142276,0.49999999999508965,0.5000000000095246,0.5000000000106254,0.49999999999709005,0.49999999998759764,0.4999999999990168,0.4999999999941048,0.49999999999715544,0.5000000000008167,0.5000000000050816,0.49999999999027206,0.49999999999519174,0.49999999999706973,0.5000000000057392,0.5000000000108477,0.5000000000088575,0.5000000000079837,0.5000000000010167,0.5000000000062934,0.5000000000076709,0.5000000000094241,0.5000000000068489,0.49999999999135947,0.4999999999913707,0.500000000000084,0.4999999999972216,0.5000000000081642,0.4999999999984061,0.5000000000045325,0.500000000007431,0.49999999999262684,0.49999999999811323,0.5000000000070799,0.49999999999523415,0.49999999999344763,0.4999999999955367,0.5000000000064208,0.49999999999441125,0.49999999999474726,0.4999999999989358,0.5000000000002813,0.49999999999747274,0.4999999999964156,0.4999999999953606,0.49999999999935407,0.5000000000050681,0.5000000000031503,0.5000000000027965,0.49999999999586964,0.500000000004663,0.4999999999995536,0.4999999999955748,0.5000000000030725,0.5000000000031088,0.5000000000007967,0.5000000000030699,0.5000000000016943,0.5000000000038052,0.5000000000000685,0.49999999999636996,0.49999999999776007,0.5000000000031146,0.5000000000003798,0.4999999999984229,0.49999999999672196,0.4999999999967709,0.5000000000000253,0.500000000002392,0.5000000000022214,0.4999999999990514,0.49999999999734823,0.49999999999830436,0.4999999999988644,0.49999999999909733,0.4999999999978273,0.49999999999836653,0.5000000000024134,0.500000000000503,0.499999999998665,0.49999999999796674,0.49999999999826333,0.5000000000006848,0.5000000000020407,0.49999999999859157,0.5000000000019234,0.4999999999980507,0.5000000000002545,0.5000000000012411,0.4999999999985233,0.4999999999992039,0.5000000000014695,0.5000000000012932,0.4999999999993189,0.5000000000015354,0.4999999999987695,0.5000000000006664,0.5000000000014369,0.4999999999989658,0.4999999999985861,0.5000000000014424,0.5000000000013514,0.5000000000000825,0.5000000000004232,0.5000000000003275,0.5000000000008179,0.499999999999368,0.5000000000003456,0.4999999999996767,0.50000000000082,0.4999999999999756,0.5000000000003558,0.49999999999890143,0.5000000000003918,0.5000000000006577,0.5000000000009205,0.49999999999994776,0.5000000000000243,0.4999999999992157,0.5000000000005039,0.49999999999981926,0.499999999999738,0.4999999999991809,0.5000000000005198,0.5000000000007346,0.5000000000003652,0.49999999999999617,0.4999999999997584,0.5000000000003264,0.49999999999975964,0.49999999999936157,0.49999999999984945,0.5000000000001478,0.5000000000002941,0.49999999999968336,0.5000000000003058,0.499999999999374,0.5000000000004927,0.5000000000005356,0.49999999999981115,0.49999999999965594,0.4999999999996311,0.49999999999955147,0.499999999999532,0.5000000000004061,0.5000000000003646,0.5000000000000067,0.5000000000000072,0.5000000000003564,0.49999999999954126,0.5000000000000008,0.5000000000002089,0.5000000000004108,0.49999999999999933,0.5000000000003827,0.5000000000004009,0.49999999999964534,0.49999999999978256,0.4999999999996269,0.5000000000003647,0.5000000000002183,0.5000000000003194,0.4999999999997141,0.49999999999973227,0.5000000000002501,0.500000000000008,0.49999999999991634,0.49999999999970113,0.4999999999997065,0.5000000000000171,0.5000000000000517,0.4999999999998716,0.4999999999997626,0.500000000000068,0.49999999999976863,0.5000000000002373,0.4999999999997629,0.5000000000001114,0.5000000000002316,0.49999999999977357,0.5000000000001527,0.49999999999979633,0.4999999999998612,0.499999999999826,0.5000000000001549,0.5000000000001854,0.4999999999998068,0.49999999999981504,0.49999999999985956,0.500000000000155,0.4999999999999494,0.4999999999998301,0.500000000000068,0.49999999999984374,0.49999999999986966,0.5000000000000373,0.5000000000001312,0.500000000000146,0.5000000000001356,0.4999999999999553,0.5000000000001299,0.5000000000001357,0.49999999999988703,0.49999999999998823,0.5000000000001041,0.4999999999999857,0.49999999999989897,0.5000000000000364,0.49999999999988676,0.4999999999999163,0.49999999999992906,0.5000000000000875,0.4999999999999318,0.5000000000000041,0.500000000000032,0.49999999999991984,0.5000000000000451,0.5000000000000209,0.5000000000000758,0.4999999999999144,0.4999999999999496,0.4999999999999374,0.49999999999992906,0.5000000000000807,0.4999999999999666,0.4999999999999916,0.5000000000000134,0.5000000000000696,0.5000000000000484,0.49999999999994027,0.4999999999999371,0.5000000000000637,0.5000000000000068,0.49999999999999223,0.5000000000000479,0.4999999999999394,0.5000000000000341,0.4999999999999959,0.5000000000000356,0.500000000000001,0.4999999999999527,0.500000000000043,0.49999999999995476,0.5000000000000421,0.4999999999999547,0.49999999999996514,0.49999999999995576,0.4999999999999921,0.4999999999999844,0.4999999999999645,0.5000000000000341,0.5000000000000054,0.5000000000000382,0.5000000000000303,0.5000000000000271,0.5000000000000141,0.5000000000000094,0.49999999999997824,0.5000000000000326,0.5000000000000229,0.5,0.49999999999999395,0.5000000000000288,0.499999999999986,0.5000000000000285,0.49999999999997596,0.49999999999999234,0.5000000000000144,0.5000000000000023,0.4999999999999987,0.5000000000000084,0.49999999999998346,0.49999999999999234,0.5000000000000031,0.5000000000000107,0.4999999999999925,0.4999999999999773,0.5000000000000104,0.49999999999999906,0.5000000000000199,0.49999999999998335,0.500000000000013,0.49999999999999417,0.49999999999998246,0.499999999999987,0.4999999999999813,0.4999999999999821,0.500000000000013,0.49999999999999106,0.49999999999998823,0.5000000000000063,0.5000000000000061,0.5000000000000046,0.49999999999999584,0.4999999999999867,0.4999999999999959,0.499999999999986,0.49999999999999023,0.5000000000000094,0.4999999999999971,0.5,0.4999999999999903,0.4999999999999935,0.5000000000000122,0.49999999999999223,0.4999999999999951,0.4999999999999923,0.5000000000000082,0.5000000000000109,0.5000000000000056,0.500000000000002,0.500000000000004,0.4999999999999969,0.5000000000000011,0.5000000000000063,0.5000000000000057,0.5000000000000085,0.5000000000000028,0.5000000000000085,0.4999999999999921,0.5000000000000081,0.5000000000000074,0.5000000000000073,0.49999999999999273,0.4999999999999926,0.4999999999999958,0.4999999999999931,0.500000000000006,0.4999999999999964,0.5000000000000066,0.4999999999999944,0.5000000000000063,0.5000000000000054,0.49999999999999545,0.5000000000000006,0.49999999999999895,0.5000000000000026,0.500000000000005,0.5000000000000053,0.5000000000000052,0.500000000000005,0.5000000000000047,0.5000000000000048,0.5000000000000039,0.4999999999999967,0.5000000000000042,0.4999999999999992,0.5000000000000026,0.5000000000000042,0.5000000000000036,0.5000000000000027,0.4999999999999973,0.4999999999999993,0.5000000000000008,0.5000000000000036,0.5000000000000012,0.4999999999999965,0.5000000000000033,0.4999999999999998,0.4999999999999981,0.4999999999999978,0.5000000000000031,0.49999999999999756,0.49999999999999784,0.5000000000000014,0.49999999999999795,0.49999999999999983,0.49999999999999956,0.4999999999999975,0.5000000000000026,0.4999999999999984,0.5000000000000012,0.49999999999999883,0.4999999999999982,0.5000000000000009,0.5000000000000009,0.49999999999999833,0.5000000000000014,0.4999999999999993,0.5000000000000019,0.500000000000002,0.49999999999999883,0.49999999999999833,0.5000000000000013,0.5000000000000017,0.5000000000000016,0.5000000000000003,0.500000000000001,0.5000000000000013,0.5000000000000008,0.4999999999999985,0.4999999999999988,0.4999999999999987,0.4999999999999987,0.5000000000000006,0.5000000000000012,0.4999999999999995,0.4999999999999999,0.5000000000000002,0.5000000000000011,0.4999999999999995,0.5000000000000008,0.5000000000000008,0.5000000000000004,0.5000000000000011,0.5000000000000007,0.499999999999999,0.4999999999999992,0.500000000000001,0.499999999999999,0.500000000000001,0.5000000000000009,0.4999999999999992,0.5000000000000002,0.5,0.5000000000000009,0.4999999999999993,0.5000000000000001,0.5000000000000001,0.5000000000000003,0.5000000000000008,0.5000000000000004,0.5000000000000004,0.5000000000000006,0.5,0.49999999999999956,0.5000000000000003,0.49999999999999994,0.5000000000000006,0.5000000000000001,0.4999999999999999,0.49999999999999944,0.4999999999999995,0.49999999999999944,0.5000000000000006,0.5000000000000003,0.5,0.5000000000000003,0.5000000000000001,0.5,0.49999999999999967,0.5000000000000004,0.5000000000000001,0.5000000000000004,0.5000000000000002,0.5,0.49999999999999967,0.49999999999999983,0.4999999999999999,0.49999999999999983,0.5,0.4999999999999998,0.5000000000000003,0.5000000000000001,0.5000000000000003,0.49999999999999967,0.5,0.5,0.5],"S":[0.49999469483523035,0.4999953383790064,0.5000040062611079,0.4999999016045209,0.5000046111013849,0.4999975388974271,0.49999704496837866,0.5000034632810127,0.49999685861876364,0.5000030592688386,0.5000036542432312,0.4999963510476143,0.49999634332813536,0.4999963111978091,0.500003067674773,0.49999703857317795,0.5000002515912226,0.49999865341583255,0.5000002566753228,0.4999994642504265,0.49999784952498,0.5000000896990281,0.5000018969295601,0.49999825017706256,0.4999997663462193,0.4999982004918906,0.500002786727628,0.5000027723946421,0.5000003097371565,0.5000018931402594,0.5000023925961901,0.5000012098218567,0.5000003732837132,0.5000023937225664,0.5000019942135671,0.5000019936565436,0.4999987200648196,0.5000018886970389,0.5000015553069289,0.4999992074539501,0.5000014173435963,0.4999979833681624,0.5000005534196513,0.500001125843065,0.5000014251034433,0.5000017006229215,0.5000017335099929,0.49999927380064135,0.5000011036485877,0.5000010774544345,0.49999933619350373,0.50000140401059,0.49999980546156053,0.5000002808406776,0.49999872052237815,0.5000014404497843,0.4999990187338968,0.49999950692781325,0.49999870165208354,0.5000004100687795,0.5000004968542883,0.5000012482153402,0.49999924174306704,0.500000363246682,0.5000011528957372,0.5000003754980448,0.5000007551372408,0.5000008732457971,0.4999990213018641,0.5000005743844017,0.5000001757568431,0.5000009575297731,0.49999930671835396,0.49999973001384246,0.4999993682490874,0.49999923810984875,0.5000007000168922,0.49999923799916435,0.5000008431456778,0.4999996408114894,0.5000007985076782,0.4999993314404885,0.49999966078260816,0.49999996649475725,0.500000657538508,0.5000003385367101,0.49999974781401946,0.50000060929985,0.4999994299466302,0.500000631660226,0.4999993702855503,0.5000003611821011,0.49999955089722875,0.4999994529175126,0.5000004208230958,0.49999998275260576,0.5000001256521108,0.4999999511811852,0.500000392785039,0.49999952604253584,0.4999996949919468,0.5000001129245095,0.49999988318094507,0.4999996386044608,0.5000002127081251,0.4999995910530819,0.5000004056688336,0.4999996680515468,0.4999995979675761,0.4999997873969861,0.500000263402668,0.5000002396243779,0.49999964612023334,0.4999996302830254,0.4999997000939792,0.4999996490063212,0.5000002911874999,0.500000262785038,0.5000001754438711,0.49999969211291734,0.5000001053629064,0.49999969414161255,0.5000001904350059,0.49999995660513774,0.5000001348504355,0.49999992972934604,0.5000002040918001,0.49999990570226716,0.5000001862227078,0.5000002433125527,0.5000000175131524,0.5000001232538746,0.5000001515516231,0.49999998396329476,0.49999990905039027,0.500000120309046,0.500000173715181,0.5000000912933719,0.49999979839366177,0.5000001460432011,0.4999998112361416,0.49999983838300976,0.49999981493509615,0.49999985089247434,0.49999985329925445,0.4999998382336616,0.500000044401729,0.5000001061613253,0.5000001230734845,0.49999991289046725,0.4999999507248451,0.499999850250387,0.49999986201027685,0.4999999076657694,0.4999998792453908,0.5000000963540723,0.499999950954376,0.4999999773404724,0.4999999428542931,0.5000000482628347,0.5000001164798649,0.49999994392766595,0.4999998979051471,0.5000001082427934,0.49999989248182825,0.5000000199797872,0.49999991330293986,0.49999997846393845,0.499999900973696,0.5000000953907963,0.49999991448745,0.4999999275499895,0.5000000263501378,0.5000000841045428,0.5000000872384709,0.49999991469351085,0.5000000797236964,0.4999999182069943,0.5000000792568005,0.4999999293859217,0.49999992927832676,0.49999997243922784,0.5000000054216507,0.5000000699619772,0.500000025014085,0.49999999330369166,0.5000000196905007,0.49999998577505933,0.5000000490037201,0.5000000373796535,0.5000000178477345,0.4999999814080616,0.49999996329781676,0.5000000514042513,0.50000003145678,0.4999999658925819,0.499999947967285,0.5000000332153898,0.4999999920735682,0.5000000102683506,0.4999999678626465,0.4999999601018663,0.49999998819592084,0.5000000158312413,0.4999999596866165,0.5000000398766826,0.4999999819173335,0.49999997153808384,0.5000000033646211,0.5000000009913158,0.49999998910360444,0.5000000312920068,0.499999996794721,0.5000000252183414,0.5000000304411963,0.5000000083459829,0.5000000326895669,0.5000000138247137,0.5000000305141432,0.4999999860529225,0.500000018213045,0.49999998949317065,0.4999999870663611,0.4999999776759628,0.5000000258967341,0.5000000263459201,0.5000000152527893,0.5000000146207785,0.500000001281032,0.49999998370500603,0.4999999770688301,0.49999997705899046,0.50000000081683,0.49999997859958784,0.49999999442687876,0.5000000050861888,0.4999999842496896,0.4999999923496475,0.5000000194743394,0.4999999810830401,0.5000000176773761,0.5000000001910937,0.4999999838739822,0.4999999830950767,0.49999999451370236,0.5000000150810122,0.4999999883677124,0.4999999847565948,0.500000011780613,0.4999999879006436,0.5000000025690111,0.49999999818634255,0.500000004948052,0.5000000135995182,0.4999999999665545,0.5000000108058211,0.5000000054866038,0.4999999885994753,0.4999999968820336,0.4999999881530911,0.49999999092727937,0.500000010832951,0.5000000106791758,0.49999999213304713,0.49999999182053834,0.4999999913772968,0.4999999958237588,0.49999999261031,0.4999999958258378,0.5000000080536058,0.5000000053084108,0.500000008816619,0.49999999211913904,0.5000000010079108,0.5000000054444403,0.5000000052441242,0.5000000013813646,0.4999999939108175,0.5000000050653197,0.5000000055298797,0.5000000058954525,0.5000000016843975,0.5000000038351518,0.4999999995530414,0.5000000065592616,0.500000004478853,0.49999999753695973,0.49999999408468454,0.5000000008841007,0.49999999849176185,0.49999999593213795,0.5000000051016836,0.5000000026833445,0.500000002011836,0.49999999688753594,0.500000005056268,0.4999999950342021,0.5000000047778316,0.5000000021301712,0.49999999565693887,0.5000000009826705,0.49999999558721325,0.49999999924936533,0.5000000028134927,0.5000000025503828,0.5000000038431133,0.49999999608155393,0.49999999821325025,0.4999999991800177,0.4999999963529295,0.5000000034341602,0.5000000034294961,0.5000000033645776,0.4999999983979577,0.5000000016588683,0.4999999968674836,0.49999999706852843,0.5000000008282052,0.500000000112914,0.4999999996100514,0.4999999972857353,0.5000000009326319,0.4999999973142555,0.5000000001465758,0.5000000012347467,0.5000000022553955,0.5000000020914059,0.5000000001713968,0.4999999989969844,0.49999999820891244,0.5000000007598508,0.5000000015352666,0.49999999796711986,0.4999999979239804,0.5000000009701956,0.5000000017124178,0.5000000004518657,0.4999999986114545,0.5000000017257936,0.5000000012812669,0.49999999841374415,0.5000000016736281,0.5000000015309782,0.5000000004651942,0.49999999956747854,0.5000000001323972,0.5000000008702957,0.5000000007403839,0.500000000844571,0.5000000013579691,0.4999999986198314,0.49999999873934947,0.5000000013264122,0.500000000327335,0.5000000010194048,0.49999999916720395,0.500000000445281,0.49999999942038287,0.5000000010883814,0.5000000001462842,0.4999999989123941,0.4999999998817631,0.4999999992924929,0.499999999940504,0.49999999933216516,0.5000000007910788,0.49999999952449325,0.5000000003723014,0.5000000007623625,0.5000000006143427,0.49999999947874085,0.500000000847747,0.49999999918264104,0.49999999986448496,0.49999999988085764,0.5000000003629916,0.5000000004436526,0.500000000677236,0.4999999998133986,0.49999999962011776,0.4999999993468325,0.500000000401417,0.49999999946756035,0.4999999994228454,0.49999999962656494,0.5000000005001745,0.5000000002639151,0.5000000005567039,0.5000000005667612,0.49999999949145013,0.5000000001869789,0.4999999996840186,0.500000000484199,0.4999999999201774,0.4999999997670574,0.49999999986882127,0.4999999996638757,0.49999999960228503,0.4999999997733958,0.4999999995710017,0.5000000004278632,0.49999999988202365,0.4999999996110512,0.4999999999997306,0.5000000003462107,0.5000000002454416,0.49999999965108943,0.5000000001975551,0.500000000297343,0.4999999998506901,0.4999999996736875,0.5000000001531232,0.5000000002758384,0.4999999999920162,0.4999999997246633,0.5000000001171625,0.49999999984363713,0.4999999997272949,0.5000000000862446,0.5000000001335251,0.4999999997362067,0.4999999999975705,0.5000000001801416,0.4999999998048627,0.5000000002240715,0.49999999976230897,0.49999999982277904,0.49999999977721565,0.5000000000947673,0.49999999983001653,0.5000000002112759,0.5000000001635687,0.5000000000621477,0.5000000001750581,0.499999999854927,0.5000000001701681,0.4999999998167277,0.5000000001711032,0.49999999984167603,0.5000000001694537,0.49999999983365834,0.5000000000607041,0.5000000001227459,0.5000000001331579,0.49999999994258165,0.4999999998534477,0.5000000001382017,0.4999999998621655,0.5000000001347263,0.4999999998649578,0.5000000001030972,0.5000000001283393,0.5000000001123637,0.49999999992398714,0.4999999998835584,0.49999999999073297,0.5000000000775695,0.5000000000681362,0.5000000000362974,0.5000000000868977,0.5000000000095531,0.5000000000506053,0.5000000000992714,0.49999999994791067,0.499999999925741,0.4999999999078657,0.5000000000884717,0.4999999999612709,0.5000000000619391,0.4999999999679396,0.4999999999202857,0.4999999999882509,0.49999999992991906,0.5000000000753038,0.4999999999260009,0.5000000000710504,0.5000000000681365,0.5000000000152712,0.5000000000358163,0.5000000000015636,0.4999999999567853,0.4999999999504546,0.4999999999990395,0.49999999995062966,0.5000000000415649,0.5000000000549124,0.5000000000433528,0.49999999995330735,0.4999999999930082,0.49999999994894373,0.5000000000376666,0.5000000000240897,0.49999999995311983,0.5000000000108629,0.5000000000059532,0.5000000000387298,0.4999999999554377,0.5000000000154771,0.5000000000155173,0.5000000000374545,0.5000000000127206,0.49999999999191636,0.49999999998604466,0.5000000000132047,0.49999999997170885,0.5000000000360858,0.4999999999703641,0.49999999998973327,0.5000000000073854,0.49999999999537625,0.49999999999983447,0.5000000000313399,0.49999999999179645,0.5000000000286171,0.5000000000170101,0.500000000008935,0.5000000000153744,0.49999999999795375,0.4999999999918728,0.5000000000091083,0.4999999999953944,0.5000000000091535,0.49999999997915645,0.49999999997831324,0.500000000015499,0.5000000000173294,0.49999999999137645,0.5000000000214888,0.5000000000170074,0.5000000000177109,0.499999999997471,0.5000000000178324,0.4999999999813895,0.49999999998880107,0.4999999999823122,0.4999999999863157,0.5000000000047622,0.5000000000040812,0.5000000000072662,0.4999999999923017,0.5000000000024154,0.4999999999939572,0.49999999998572314,0.4999999999887425,0.4999999999902767,0.5000000000137632,0.49999999999408684,0.49999999998661615,0.4999999999882931,0.49999999998751776,0.49999999998752254,0.4999999999888944,0.5000000000069036,0.5000000000106124,0.4999999999890042,0.5000000000095182,0.5000000000004196,0.5000000000058282,0.5000000000065962,0.4999999999899362,0.5000000000076156,0.500000000005854,0.5000000000001036,0.49999999999384936,0.5000000000024857,0.49999999999837186,0.5000000000085767,0.49999999999209677,0.49999999999945555,0.5000000000078313,0.49999999999364503,0.5000000000017045,0.500000000001042,0.500000000007024,0.4999999999994191,0.5000000000050424,0.49999999999827077,0.5000000000048876,0.500000000000754,0.5000000000029386,0.49999999999676836,0.4999999999940711,0.5000000000058766,0.4999999999948392,0.49999999999568107,0.5000000000029201,0.5000000000053152,0.49999999999871025,0.4999999999959794,0.4999999999958686,0.5000000000025853,0.49999999999904804,0.500000000004627,0.5000000000010154,0.5000000000031974,0.49999999999698425,0.4999999999958453,0.5000000000027656,0.4999999999963372,0.5000000000010282,0.4999999999961507,0.4999999999990189,0.5000000000029106,0.5000000000017796,0.500000000003483,0.500000000003037,0.4999999999993474,0.50000000000048,0.49999999999681155,0.5000000000019943,0.5000000000020779,0.49999999999718453,0.5000000000011784,0.5000000000022711,0.4999999999974754,0.5000000000025486,0.4999999999984989,0.4999999999980038,0.49999999999927736,0.5000000000024086,0.5000000000019984,0.499999999998827,0.5000000000014968,0.5000000000021321,0.5000000000007869,0.49999999999839384,0.4999999999991911,0.5000000000005945,0.5000000000019741,0.49999999999850364,0.5000000000011937,0.4999999999983249,0.49999999999894085,0.5000000000012075,0.5000000000015882,0.5000000000007008,0.500000000001097,0.49999999999853423,0.5000000000006392,0.4999999999988643,0.5000000000005017,0.500000000000258,0.49999999999952877,0.5000000000013954,0.5000000000012981,0.4999999999987073,0.49999999999898637,0.5000000000011041,0.5000000000011935,0.49999999999883027,0.4999999999991441,0.49999999999884254,0.49999999999892664,0.5000000000001139,0.4999999999989949,0.5000000000008231,0.4999999999995399,0.5000000000010038,0.49999999999901856,0.5000000000005516,0.4999999999992106,0.4999999999991033,0.49999999999914585,0.49999999999969913,0.4999999999993246,0.5000000000003915,0.4999999999992735,0.5000000000007941,0.5000000000007371,0.5000000000006837,0.5000000000006999,0.5000000000003387,0.49999999999931033,0.5000000000006735,0.4999999999993942,0.4999999999994235,0.500000000000565,0.4999999999999573,0.5000000000003644,0.5000000000002672,0.5000000000005533,0.5000000000004557,0.5000000000004182,0.49999999999969086,0.4999999999997469,0.49999999999967576,0.49999999999964684,0.5000000000004957,0.5000000000004842,0.4999999999996892,0.49999999999994593,0.5000000000004512,0.5000000000003879,0.4999999999998715,0.5000000000004203,0.5000000000001489,0.4999999999999896,0.5000000000001662,0.4999999999996852,0.5000000000000211,0.5000000000000137,0.5000000000002818,0.4999999999998615,0.5000000000001842,0.49999999999980344,0.5000000000002065,0.49999999999968325,0.500000000000298,0.499999999999955,0.49999999999996814,0.5000000000002879,0.49999999999972317,0.5000000000002432,0.4999999999998742,0.49999999999974654,0.4999999999998897,0.49999999999992006,0.4999999999999402,0.4999999999997887,0.4999999999999722,0.4999999999999747,0.5000000000001619,0.5000000000000758,0.5000000000001606,0.5000000000001127,0.49999999999986955,0.500000000000069,0.5000000000000024,0.5000000000000373,0.5000000000001193,0.49999999999990846,0.5000000000001684,0.49999999999997513,0.5000000000001533,0.5000000000000492,0.4999999999999072,0.49999999999984823,0.499999999999922,0.50000000000003,0.4999999999999469,0.500000000000135,0.5000000000000493,0.5000000000000024,0.5000000000000693,0.5000000000001289,0.4999999999999283,0.5000000000001227,0.5000000000000658,0.500000000000112,0.49999999999997957,0.5000000000000749,0.4999999999999163,0.499999999999938,0.5000000000000794,0.4999999999998978,0.49999999999990535,0.5000000000000556,0.499999999999916,0.4999999999999093,0.4999999999999498,0.4999999999999764,0.49999999999992945,0.499999999999943,0.5000000000000425,0.4999999999999962,0.4999999999999285,0.5000000000000766,0.500000000000074,0.49999999999997624,0.499999999999947,0.4999999999999632,0.4999999999999728,0.4999999999999796,0.5000000000000651,0.49999999999993666,0.50000000000004,0.5000000000000056,0.49999999999995126,0.49999999999994205,0.4999999999999558,0.4999999999999446,0.5000000000000263,0.4999999999999692,0.49999999999997513,0.4999999999999723,0.5000000000000194,0.5000000000000332,0.4999999999999842,0.5000000000000452,0.499999999999958,0.4999999999999744,0.49999999999997413,0.4999999999999586,0.4999999999999858,0.500000000000026,0.499999999999972,0.4999999999999647,0.4999999999999641,0.49999999999997097,0.49999999999998623,0.500000000000026,0.4999999999999662,0.4999999999999675,0.49999999999998535,0.4999999999999718,0.4999999999999885,0.500000000000018,0.4999999999999717,0.5000000000000248,0.5000000000000279,0.5000000000000273,0.5000000000000253,0.49999999999997985,0.4999999999999757,0.4999999999999753,0.49999999999997813,0.49999999999997746,0.4999999999999952,0.4999999999999799,0.5000000000000221,0.4999999999999916,0.500000000000013,0.500000000000016,0.49999999999998074,0.4999999999999911,0.5000000000000141,0.5000000000000013,0.4999999999999959,0.5000000000000123,0.499999999999985,0.4999999999999876,0.49999999999998457,0.5000000000000151,0.5000000000000152,0.500000000000015,0.5000000000000072,0.5000000000000142,0.4999999999999964,0.4999999999999898,0.4999999999999899,0.49999999999998684,0.49999999999998684,0.5000000000000084,0.4999999999999893,0.5000000000000014,0.5000000000000091,0.5000000000000107,0.5000000000000084,0.49999999999999245,0.49999999999999895,0.5000000000000091,0.5000000000000102,0.4999999999999907,0.5000000000000094,0.5000000000000097,0.5000000000000071,0.49999999999999273,0.5000000000000029,0.4999999999999916,0.5000000000000008,0.4999999999999971,0.49999999999999845,0.4999999999999971,0.49999999999999717,0.49999999999999767,0.500000000000001,0.499999999999994,0.500000000000002,0.5000000000000036,0.4999999999999942,0.4999999999999989,0.5000000000000033,0.5000000000000006,0.49999999999999706,0.500000000000004,0.4999999999999941,0.5000000000000057,0.49999999999999495,0.5000000000000023,0.5000000000000001,0.4999999999999993,0.5000000000000011,0.4999999999999983,0.4999999999999988,0.5000000000000028,0.5000000000000033,0.5000000000000018,0.5000000000000044,0.5000000000000036,0.4999999999999994,0.4999999999999978,0.500000000000003,0.4999999999999971,0.5000000000000038,0.5000000000000037,0.5000000000000009,0.4999999999999966,0.4999999999999999,0.499999999999999,0.49999999999999667,0.5000000000000027,0.5000000000000023,0.4999999999999999,0.5000000000000018,0.5000000000000021,0.5000000000000026,0.500000000000002,0.5000000000000028,0.5000000000000027,0.5000000000000009,0.5000000000000001,0.49999999999999806,0.5000000000000021,0.5000000000000021,0.5000000000000016,0.4999999999999979,0.49999999999999795,0.49999999999999856,0.4999999999999984,0.49999999999999806,0.4999999999999993,0.5000000000000003,0.49999999999999845,0.500000000000001,0.5000000000000013,0.5000000000000007,0.4999999999999991,0.4999999999999983,0.4999999999999986,0.49999999999999906,0.49999999999999856,0.5000000000000004,0.5000000000000009,0.4999999999999992,0.4999999999999993,0.49999999999999867,0.4999999999999994,0.5000000000000012,0.5000000000000013,0.5000000000000013,0.4999999999999994,0.5000000000000011,0.4999999999999991,0.4999999999999991,0.49999999999999895,0.5000000000000002,0.5000000000000009,0.5000000000000004,0.5000000000000008,0.5000000000000001,0.49999999999999994,0.5,0.4999999999999996,0.49999999999999944,0.4999999999999991,0.4999999999999991,0.49999999999999994,0.49999999999999956,0.49999999999999917,0.5000000000000008,0.4999999999999993,0.49999999999999983,0.5000000000000006,0.5000000000000007,0.4999999999999995,0.4999999999999993,0.5000000000000006,0.5000000000000006,0.5000000000000007,0.5000000000000003,0.4999999999999994,0.5000000000000006,0.4999999999999998,0.5000000000000003,0.5,0.5,0.5000000000000004,0.49999999999999944,0.5000000000000004,0.5000000000000006,0.4999999999999995,0.4999999999999996,0.5,0.5000000000000004,0.5,0.4999999999999996,0.49999999999999956,0.4999999999999998,0.5000000000000003,0.5000000000000004,0.5000000000000003,0.4999999999999996,0.4999999999999997,0.5000000000000002,0.49999999999999967,0.5,0.5,0.49999999999999967,0.49999999999999967,0.49999999999999967],"x":[60000.00000000003,61430.39830338353,62894.89726187253,64394.30983412023,65929.46835969151,67501.22502110281,69110.45231687785,70758.04354587999,72444.91330319269,74171.99798782021,75940.25632249274,77750.66988586276,79604.24365739057,81502.00657521821,83445.0121073441,85434.33883641344,87471.09105845171,89556.39939587026,91691.42142508691,93877.34231910801,96115.37550543141,98406.76333963202,100752.77779500674,103154.72116865928,105613.92680442009,108131.7598329986,110709.61792978205,113348.93209069864,116051.16742657975,118817.82397645732,121650.43754025163,124550.5805313089,127519.8628492658,130559.93277372057,133672.47787921072,136859.22597200226,140121.94604921443,143462.4492808076,146882.59001498306,150384.2668075498,153969.42347583466,157640.05017771415,161398.18451637265,165245.91267139593,169185.37055683296,173218.745006863,177348.27498973062,181576.25285061897,185905.02558415662,190336.99613725735,194874.62474302182,199520.43028643704,204276.99170263813,209146.94940850046,214133.00676836344,219237.93159469467,224464.557684534,229815.78639256206,235294.58824167363,240904.00457194378,246647.14922891042,252527.2102921011,258547.45184476758,264711.2157858156,271021.92368492583,277483.07868190395,284098.2674313077,290871.1620934399,297805.5223728006,304905.1976051394,312174.12889425945,319616.35129976895,327235.9960769825,335037.2929702253,343024.5725608054,351202.2686709692,359574.920825159,368147.1767699525,376923.79505407193,385909.6476699088,395109.7227580148,404529.1273760721,414173.09033387114,424046.9650958823,434156.2327530168,444506.50506523915,455103.5275767099,465953.1828052028,477061.4935075478,488434.62602292874,500078.8936958779,512000.7603808859,524206.8440305506,536703.9203692736,549498.9266545316,562598.9655278266,576011.3089574318,589743.40227514,603802.8683092395,618197.5116160333,632935.3228122245,648024.483010594,663473.3683614162,679290.5547021545,695484.8223179944,712065.1608158732,729040.7741146985,746421.0855545495,764215.7431276644,782434.6248341455,801087.8441653333,820185.7557179205,839738.960941891,859758.3140254978,880254.92792053,901240.180511238,922725.72093031,944723.4760254291,967245.6569799846,990304.7660916384,1.013913603712475e6,1.0380852753546046e6,1.0628331989651816e6,1.0881711123748391e6,1.1141130809237063e6,1.1406735052692168e6,1.167867129380077e6,1.195709048720787e6,1.224214718631298e6,1.25339996290642e6,1.2832809825797915e6,1.3138743649172322e6,1.345197092624513e6,1.3772665532746215e6,1.4101005489598024e6,1.4437173061736731e6,1.4781354859289464e6,1.5133741941163414e6,1.5494529921104813e6,1.5863919076286033e6,1.624211445848161e6,1.6629326007894487e6,1.702576866969621e6,1.74316625133451e6,1.7847232854749179e6,1.8272710381341237e6,1.8708331280136046e6,1.9154337368840096e6,1.96109762300872e6,2.007850134887405e6,2.0557172253272594e6,2.104725465849665e6,2.1549020614403263e6,2.2062748656510236e6,2.2588723960614386e6,2.31272385010954e6,2.367859121299399e6,2.424308815795362e6,2.4821042694118847e6,2.541277565008346e6,2.601861550298593e6,2.663889856085024e6,2.727396914927433e6,2.792417980256859e6,2.858989145945148e6,2.927147366341011e6,2.9969304767838055e6,3.068377214606303e6,3.1415272406382e6,3.216421161222232e6,3.2931005507552163e6,3.3716079747664086e6,3.4519870135460845e6,3.5342822863373877e6,3.618539476104977e6,3.70480535489409e6,3.7931278097942076e6,3.8835558695216477e6,3.9761397316359608e6,4.070930790405099e6,4.167981665334884e6,4.267346230378693e6,4.369079643843421e6,4.473238379008447e6,4.579880255474507e6,4.689064471260012e6,4.800851635662449e6,4.915303802903249e6,5.032484506574703e6,5.152458794908173e6,5.275293266883007e6,5.401056109196349e6,5.529817134114241e6,5.661647818225209e6,5.796621342117612e6,5.934812631002984e6,6.076298396307745e6,6.221157178256586e6,6.369469389470924e6,6.52131735960681e6,6.676785381056925e6,6.835959755742251e6,6.998928843019111e6,7.165783108728399e6,7.336615175414052e6,7.511519873738884e6,7.690594295126009e6,7.873937845655343e6,8.061652301244885e6,8.25384186414769e6,8.450613220795566e6,8.652075601021852e6,8.858340838695977e6,9.069523433803702e6,9.285740616007196e6,9.50711240972048e6,9.733761700736154e6,9.965814304440692e6,1.0203399035655808e7,1.0446647780144945e7,1.0695695567824349e7,1.0950680647719722e7,1.1211744564709602e7,1.1479032238098454e7,1.1752692042062797e7,1.2032875888015386e7,1.2319739308932742e7,1.2613441545693174e7,1.291414563547295e7,1.322201850225008e7,1.3537231049465476e7,1.3859958254893268e7,1.4190379267772691e7,1.4528677508255865e7,1.4875040769226119e7,1.522966132054384e7,1.559273601577736e7,1.5964466401478605e7,1.6345058829063602e7,1.6734724569360204e7,1.713367992988692e7,1.7542146374927357e7,1.796035064846741e7,1.8388524900063086e7,1.882690681370934e7,1.9275739739780825e7,1.9735272830118272e7,2.0205761176335134e7,2.068746595142183e7,2.118065455472546e7,2.1685600760386024e7,2.220258486931116e7,2.273189386477434e7,2.3273821571722124e7,2.382866881987953e7,2.439674361074358e7,2.497836128855841e7,2.5573844715365976e7,2.618352445023024e7,2.6807738932733733e7,2.7446834670849234e7,2.8101166433289737e7,2.8771097446444377e7,2.9456999596008968e7,3.015925363342396e7,3.087824938723333e7,3.161438597948258e7,3.2368072047275297e7,3.3139725969612252e7,3.392977609963771e7,3.473866100242284e7,3.5566829698417515e7,3.641474191270661e7,3.7282868330208e7,3.8171690856954746e7,3.9081702887605876e7,4.001340957933536e7,4.096732813224987e7,4.194398807649204e7,4.294393156618791e7,4.396771368040278e7,4.50159027312711e7,4.6089080579472646e7,4.7187842957229026e7,4.8312799799001485e7,4.946457558007146e7,5.064380966319354e7,5.185115665351202e7,5.3087286761939615e7,5.435288617719814e7,5.5648657446729265e7,5.697531986668545e7,5.833360988121943e7,5.972428149129162e7,6.1148106673224114e7,6.260587580723233e7,6.409839811617404e7,6.56265021147571e7,6.719103606945613e7,6.879286846939497e7,7.04328885084534e7,7.21120065788684e7,7.383115477660161e7,7.559128741875654e7,7.739338157332927e7,7.923843760158946e7,8.112747971339068e7,8.30615565357209e7,8.504174169480568e7,8.706913441208966e7,8.914486011442505e7,9.127007105880892e7,9.344594697201245e7,9.567369570545983e7,9.795455390571848e7,1.002897877009756e8,1.0268069340387838e8,1.0512859823113085e8,1.0763486104024577e8,1.1020087308386098e8,1.1282805878203657e8,1.1551787651296788e8,1.1827181942254478e8,1.210914162532129e8,1.2397823219259457e8,1.2693386974234079e8,1.2995996960769656e8,1.330582116082741e8,1.3623031561053607e8,1.3947804248251456e8,1.4280319507128522e8,1.4620761920374703e8,1.4969320471126005e8,1.5326188647871047e8,1.569156455185855e8,1.6065651007065466e8,1.644865567278643e8,1.6840791158907983e8,1.7242275143930277e8,1.7653330495802766e8,1.8074185395640507e8,1.850507346438989e8,1.8946233892514062e8,1.9397911572770125e8,1.986035723615135e8,2.0333827591071036e8,2.081858546586371e8,2.1314899954683974e8,2.1823046566883457e8,2.2343307379948944e8,2.2875971196086526e8,2.342133370253882e8,2.397969763572366e8,2.4551372949286798e8,2.5136676986160055e8,2.573593465472176e8,2.6349478609156802e8,2.697764943411643e8,2.762079583378046e8,2.827927482542615e8,2.895345193761291e8,2.964370141309053e8,3.0350406416545385e8,3.107395924729916e8,3.1814761557078236e8,3.257322457297482e8,3.3349769325723505e8,3.414482688341927e8,3.495883859080871e8,3.5792256314284545e8,3.6645542692721546e8,3.751917139429215e8,3.841362737940465e8,3.932940716990976e8,4.0267019124725217e8,4.1226983722030514e8,4.2209833848190707e8,4.3216115093566567e8,4.4246386055377626e8,4.530121864778535e8,4.638119841936863e8,4.748692487816794e8,4.861901182447865e8,4.977808769157726e8,5.096479589457238e8,5.217979518757042e8,5.3423760029357076e8,5.46973809577964e8,5.600136497315562e8,5.733643593056831e8,5.870333494185424e8,6.010282078691727e8,6.153567033495342e8,6.300267897569815e8,6.45046610609557e8,6.604245035665435e8,6.761690050567847e8,6.92288855017347e8,7.087930017451518e8,7.256906068642578e8,7.429910504115907e8,7.607039360438884e8,7.78839096368794e8,7.974065984030383e8,8.164167491607468e8,8.358801013749702e8,8.5580745935562e8,8.762098849870404e8,8.970987038685956e8,9.184855116016152e8,9.403821802262365e8,9.628008648116978e8,9.857540102037448e8,1.0092543579328974e9,1.0333149532873912e9,1.0579491525547758e9,1.0831706304361153e9,1.1089933876369593e9,1.1354317586392832e9,1.162500419658706e9,1.190214396791413e9,1.218589074355302e9,1.2476402034299603e9,1.2773839106002812e9,1.3078367069084816e9,1.3390154970195575e9,1.3709375886052406e9,1.4036207019516673e9,1.4370829797960942e9,1.4713429973981276e9,1.5064197728510187e9,1.542332777638843e9,1.579101947445299e9,1.616747693220221e9,1.655290912509911e9,1.6947530010575826e9,1.7351558646803637e9,1.7765219314294496e9,1.8188741640401204e9,1.8622360726786382e9,1.9066317279929562e9,1.9520857744745939e9,1.9986234441390526e9,2.0462705705323691e9,2.095053603071587e9,2.144999621727114e9,2.196136352055059e9,2.2484921805880322e9,2.3020961705927687e9,2.3569780782034607e9,2.4131683689396996e9,2.470698234618201e9,2.529599610667709e9,2.589905193856697e9,2.651648460443642e9,2.71486368476011e9,2.7795859582367487e9,2.8458512088829226e9,2.913696221230723e9,2.983158656754445e9,3.054277074776868e9,3.127090953873946e9,3.2016407137897325e9,3.277967737873872e9,3.3561143960538826e9,3.436124068355156e9,3.5180411689816628e9,3.601911170970741e9,3.687780631435651e9,3.7756972174099345e9,3.865709732307817e9,3.957868143015587e9,4.0522236076286716e9,4.1488285038500485e9,4.247736458065652e9,4.349002375112941e9,4.452682468759165e9,4.55883429290614e9,4.667516773539132e9,4.778790241437205e9,4.892716465663495e9,5.009358687853854e9,5.128781657322947e9,5.251051667007266e9,5.376236590265059e9,5.50440591855345e9,5.635630800003999e9,5.76998407891769e9,5.907540336201585e9,6.048375930769457e9,6.192569041929427e9,6.34019971278211e9,6.491349894653405e9,6.64610349258642e9,6.804546411918199e9,6.966766605966567e9,7.132854124853956e9,7.302901165495174e9,7.477002122776869e9,7.655253641957116e9,7.837754672314245e9,8.024606522074485e9,8.21591291464941e9,8.411780046213761e9,8.612316644656084e9,8.81763402993471e9,9.02784617587263e9,9.243069773425552e9,9.463424295458311e9,9.68903206306534e9,9.920018313472624e9,1.0156511269558031e10,1.0398642211029217e10,1.0646545547298355e10,1.09003588920942e10,1.1160223139852913e10,1.1426282543930073e10,1.169868479667704e10,1.1977581111426794e10,1.2263126306433846e10,1.2555478890815521e10,1.2854801152542019e10,1.3161259248524157e10,1.3475023296848812e10,1.3796267471213297e10,1.4125170097610771e10,1.44619137533212e10,1.4806685368261684e10,1.5159676328753265e10,1.552108258376146e10,1.5891104753669584e10,1.6269948241645292e10,1.6657823347661737e10,1.7054945385237694e10,1.7461534800960064e10,1.787781729685615e10,1.8304023955683205e10,1.8740391369204872e10,1.9187161769525764e10,1.9644583163557083e10,2.011290947068755e10,2.059240066373717e10,2.1083322913270554e10,2.1585948735351032e10,2.2100557142817184e10,2.2627433800165783e10,2.316687118212711e10,2.3719168736020847e10,2.4284633047982037e10,2.4863578013150772e10,2.5456325009918343e10,2.6063203078327778e10,2.6684549102727436e10,2.732070799877902e10,2.7972032904923843e10,2.8638885378413803e10,2.9321635596015095e10,3.0020662559497913e10,3.073635430602382e10,3.1469108123549328e10,3.221933077136461e10,3.2987438705889805e10,3.3773858311854336e10,3.457902613898766e10,3.540338914435202e10,3.6247404940453804e10,3.711154204926846e10,3.799628016232211e10,3.8902110406973274e10,3.982953561904281e10,4.077907062194334e10,4.1751242512463234e10,4.274659095336291e10,4.376566847294822e10,4.480904077178404e10,4.587728703672074e10,4.69710002624068e10,4.809078758046634e10,4.923727059652426e10,5.0411085735266174e10,5.161288459372359e10,5.284333430298343e10,5.410311789851867e10,5.539293469934864e10,5.671350069623833e10,5.80655489491523e10,5.9449829994183945e10,6.0867112260186165e10,6.231818249533322e10,6.380384620385435e10,6.53249280931766e10,6.6882272531728745e10,6.8476744017659035e10,7.010922765872713e10,7.178062966363693e10,7.349187784508136e10,7.524392213478255e10,7.703773511080777e10,7.887431253745789e10,8.075467391802654e10,8.267986306073709e10,8.465094865817139e10,8.666902488051262e10,8.873521198292908e10,9.085065692744168e10,9.301653401961316e10,9.523404556041763e10,9.750442251365044e10,9.9828925189249e10,1.0220884394290399e11,1.0464549989234973e11,1.0714024565072864e11,1.0969446607744353e11,1.1230957904690576e11,1.1498703623561258e11,1.1772832392798787e11,1.2053496384143414e11,1.2340851397105379e11,1.2635056945450887e11,1.2936276345749667e11,1.3244676808034007e11,1.3560429528618585e11,1.3883709785133377e11,1.4214697033822104e11,1.4553575009160263e11,1.4900531825848053e11,1.5255760083234863e11,1.5619456972232944e11,1.5991824384780502e11,1.6373069025913785e11,1.676340252851125e11,1.7163041570773203e11,1.757220799650211e11,1.7991128938250418e11,1.842003694340428e11,1.8859170103272726e11,1.9308772185255096e11,1.976909276815855e11,2.0240387380741968e11,2.07229176435626e11,2.12169514142044e11,2.1722762935968536e11,2.2240632990108817e11,2.2770849051695926e11,2.3313705449198386e11,2.3869503527866986e11,2.4438551817014777e11,2.5021166201284903e11,2.5617670096001477e11,2.6228394626700897e11,2.685367881294266e11,2.74938697565033e11,2.8149322834055786e11,2.882040189444292e11,2.9507479460653613e11,3.021093693661432e11,3.09311648189103e11,3.166856291355451e11,3.242354055792354e11,3.319651684798587e11,3.3987920870945886e11,3.479819194343478e11,3.5627779855379816e11,3.6477145119687415e11,3.734675922787866e11,3.823710491181931e11,3.9148676411688696e11,4.0081979750338513e11,4.103753301419078e11,4.201586664083316e11,4.301752371347041e11,4.404306026239553e11,4.5093045573648e11,4.6168062505030536e11,4.726870780965885e11,4.8395592467226624e11,4.9549342023165955e11,5.073059693589438e11,5.1940012932339966e11,5.3178261371942236e11,5.4446029619330743e11,5.574402142588861e11,5.707295732041135e11,5.843357500908127e11,5.982662978497498e11,6.125289494733466e11,6.271316223083457e11,6.420824224508124e11,6.573896492459125e11,6.73061799894969e11,6.891075741723358e11,7.055358792547496e11,7.223558346657859e11,7.395767773382045e11,7.572082667969778e11,7.752600904658838e11,7.937422691006061e11,8.126650623513639e11,8.320389744581378e11,8.518747600817023e11,8.721834302736371e11,8.929762585886807e11,9.142647873427972e11,9.360608340204374e11,9.58376497834547e11,9.812241664429702e11,1.0046165228249521e12,1.0285665523216161e12,1.053087549844247e12,1.0781931272544386e12,1.1038972209201802e12,1.1302140994520798e12,1.1571583716240242e12,1.1847449944826409e12,1.212989281650142e12,1.2419069118250542e12,1.271513937485634e12,1.301826793800766e12,1.3328623077532961e12,1.364637707480865e12,1.3971706318394336e12,1.4304791401947732e12,1.4645817224474412e12,1.4994973092966963e12,1.5352452827491316e12,1.5718454868778296e12,1.6093182388380137e12,1.647684340145314e12,1.6869650882229111e12,1.727182288223932e12,1.7683582651357576e12,1.8105158761728306e12,1.853678523464939e12,1.8978701670479834e12,1.9431153381644434e12,1.9894391528809246e12,2.0368673260303591e12,2.0854261854865442e12,2.1351426867790688e12,2.1860444280565767e12,2.2381596654067944e12,2.291517328541782e12,2.346147036857116e12,2.402079115873927e12,2.4593446140729204e12,2.5179753201296743e12,2.578003780560925e12,2.6394633177914346e12,2.702388048651632e12,2.7668129033162173e12,2.832773644694269e12,2.900306888281605e12,2.969450122486442e12,3.040241729439551e12,3.1127210063006514e12,3.1869281870726284e12,3.2629044649358574e12,3.3406920151149688e12,3.4203340182907563e12,3.5018746845702227e12,3.585359278028085e12,3.6708341418332793e12,3.7583467239746216e12,3.8479456035996255e12,3.939680517981307e12,4.0336023901278647e12,4.1297633570505737e12,4.228216798705599e12,4.3290173676257007e12,4.432221019258525e12,4.537885043027993e12,4.64606809413627e12,4.756830226123882e12,4.870232924206064e12,4.986339139403845e12,5.105213323488832e12,5.226921464760986e12,5.351531124679534e12,5.479111475366961e12,5.609733338007193e12,5.743469222159183e12,5.880393366007713e12,6.020581777573797e12,6.164112276907541e12,6.311064539286773e12,6.461520139445766e12,6.615562596858125e12,6.773277422099345e12,6.934752164314622e12,7.1000764598183e12,7.26934208185192e12,7.442642991528538e12,7.620075389991396e12,7.801737771816364e12,7.987730979687182e12,8.178158260374321e12,8.373125322048341e12,8.572740392959597e12,8.777114281516873e12,8.986360437798324e12,9.200595016528645e12,9.419936941558e12,9.644507971877734e12,9.87443276921011e12,1.0109838967209318e13,1.0350857242312262e13,1.05976213862784e13,1.0850268380458998e13,1.1108938471836734e13,1.1373775250878518e13,1.164492573124388e13,1.192254043139385e13,1.2206773458145299e13,1.249778259221726e13,1.279572937581665e13,1.310077920231208e13,1.341310140804523e13,1.3732869366331541e13,1.4060260583701338e13,1.439545679843561e13,1.4738644081450822e13,1.509001293958883e13,1.5449758421369213e13,1.58180802252628e13,1.6195182810546133e13,1.6581275510799312e13,1.6976572650109008e13,1.738129366204205e13,1.7795663211455305e13,1.821991131920947e13,1.865427348985613e13,1.9098990842368496e13,1.955431024398951e13,2.002048444727013e13,2.0497772230374977e13,2.098643854073281e13,2.148675464211158e13,2.199899826519981e13,2.2523453761777875e13,2.306041226256427e13,2.3610171838825867e13,2.4173037667840023e13,2.4749322202301754e13,2.533934534376949e13,2.594343462024576e13,2.656192536799143e13,2.719516091767444e13,2.784349278495582e13,2.8507280865620348e13,2.9186893635358016e13,2.9882708354308863e13,3.0595111276483984e13,3.1324497864179184e13,3.2071273007500215e13,3.2835851249121637e13,3.3618657014403246e13,3.4420124846993816e13,3.524069965005028e13,3.608083693320827e13,3.6941003065440234e13,3.782167553394174e13,3.87233432091896e13,3.9646506616319125e13,4.059167821297021e13,4.155938267375891e13,4.255015718152908e13,4.3564551725548414e13,4.46031294068132e13,4.566646675063154e13,4.675515402665858e13,4.786979557656155e13,4.901101014949536e13,5.017943124557785e13,5.137570746755157e13,5.260050288083012e13,5.385449738212775e13,5.5138387076877195e13,5.645288466564499e13,5.779871983975927e13,5.917663968636811e13,6.0587409103156734e13,6.203181122294935e13,6.3510647848434555e13,6.502473989725435e13,6.657492785770412e13,6.81620722552967e13,6.978705413044804e13,7.145077552755345e13,7.315415999572092e13,7.489815310144298e13,7.668372295349067e13,7.851186074032073e13,8.038358128029467e13,8.229992358501539e13,8.426195143609202e13,8.627075397565816e13,8.832744631096477e13,9.043317013338812e13,9.258909435219461e13,9.479641574341452e13,9.70563596141848e13,9.937018048293034e13,1.017391627757586e14,1.0416462153946031e14,1.0664790317150411e14,1.0919038616743623e14,1.1179348188609773e14,1.1445863533308453e14,1.1718732596288511e14,1.199810685001416e14,1.2284141378048728e14,1.2576994961143461e14,1.2876830165378167e14,1.3183813432403408e14,1.3498115171833981e14,1.3819909855845088e14,1.414937611602365e14,1.4486696842528628e14,1.4832059285615028e14,1.5185655159578816e14,1.5547680749179288e14,1.591833701859886e14,1.629782972300037e14,1.668636952274392e14,1.7084172100326634e14,1.7491458280110353e14,1.790845415090324e14,1.833539119146446e14,1.8772506399000184e14,1.9220042420723278e14,1.9678247688549303e14,2.0147376557003656e14,2.062768944441643e14,2.111945297748343e14,2.1622940139273097e14,2.213843042076275e14,2.2666209975986628e14,2.320657178088305e14,2.3759815795928425e14,2.4326249132648434e14,2.4906186224098844e14,2.5499948999410688e14,2.610786706249607e14,2.673027787501534e14,2.7367526943705197e14,2.8019968012173162e14,2.868796325726437e14,2.937188349010969e14,3.007210836196699e14,3.0789026574969025e14,3.152303609789678e14,3.227454438709559e14,3.304396861265853e14,3.383173589000194e14,3.463828351696156e14,3.54640592165412e14,3.6309521385448556e14,3.717513934855543e14,3.8061393619425744e14,3.8968776167053044e14,3.989779068895778e14,4.084895289079503e14,4.1822790772628125e14,4.281984492202696e14,4.3840668814154006e14,4.48858291190034e14,4.595590601596647e14,4.705149351589464e14,4.8173199790841225e14,4.932164751166412e14,5.049747419367684e14,5.170133255053996e14,5.293389085658949e14,5.419583331780203e14,5.548786045160601e14,5.68106894757453e14,5.816505470641452e14,5.955170796588558e14,6.097141899985212e14,6.242497590472334e14,6.39131855651048e14,6.543687410170748e14,6.69968873299375e14,6.859409122941614e14,7.02293724246943e14,7.190363867742714e14,7.3617819390282e14,7.537286612285954e14,7.716975311991469e14,7.900947785216884e14,8.089306157001815e14,8.2821549870439e14,8.479601327741012e14,8.681754783617166e14,8.888727572165125e14,9.10063458613951e14,9.317593457335001e14,9.53972462188482e14,9.767151387116318e14,1.0e15]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/large.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/large.json new file mode 100644 index 000000000000..f8d18d2105e1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/large.json @@ -0,0 +1 @@ +{"C":[0.4999999999999984,0.4999952966053132,0.4999952466855638,0.5000001949271385,0.4999925517597223,0.5000004741296699,0.49999482021167474,0.4999946622097227,0.5000011132736554,0.4999930089349015,0.500001680836087,0.499993878229898,0.49999365756017056,0.5000027235909712,0.49999405543447567,0.5000035236076065,0.4999927884813405,0.4999925992867841,0.5000048156627231,0.49999603228102973,0.5000056810019282,0.4999921379341366,0.49999213166540996,0.5000068488428699,0.49999914401732937,0.5000074398232704,0.49999276111294555,0.49999311486970355,0.5000078461071721,0.5000030811570706,0.5000076784070844,0.49999543783376266,0.4999962450083829,0.5000066005552865,0.5000066295152041,0.5000052814415452,0.5000001833491805,0.5000012737469101,0.5000024600977168,0.5000077273487017,0.5000001638633561,0.5000053873461164,0.5000062097612139,0.4999965658993882,0.5000046085397284,0.49999445120325753,0.5000077761207192,0.5000076142696728,0.49999245705919826,0.49999802673559157,0.49999230415327345,0.5000044912408126,0.5000031648224276,0.49999418654472955,0.49999266800627395,0.4999967348580136,0.49999694906323505,0.4999954986671538,0.5000016286042668,0.4999943428066948,0.5000047530068719,0.4999922872463392,0.49999241453810794,0.5000075543579372,0.5000026604653675,0.5000073980461824,0.4999969393714426,0.4999988110427901,0.5000038641283959,0.5000076827863306,0.5000000004584075,0.5000060048097088,0.5000070702427718,0.49999440143103197,0.5000012183666769,0.4999924679816577,0.5000057331050913,0.5000040279987789,0.4999940642491632,0.4999926299784822,0.4999978466506175,0.49999537518063253,0.49999373981205436,0.5000045948000577,0.49999778936433514,0.5000073222336322,0.4999940069489179,0.4999958561075082,0.5000058256980289,0.5000074360407052,0.5000014606764319,0.500005349740492,0.5000068717182681,0.4999942836355611,0.5000003829868457,0.49999240355784047,0.5000041914099947,0.5000016412564603,0.49999652587335447,0.49999258893360954,0.5000020706147744,0.49999272824928237,0.49999246799673286,0.5000074966803867,0.5000040839948331,0.5000060041330379,0.5000008406843,0.5000037269801562,0.49999779757486645,0.5000039346463351,0.49999319790940017,0.5000062171593568,0.5000039142262078,0.4999948808020084,0.49999247180847317,0.5000008887809017,0.4999930310611993,0.4999924945635179,0.5000074548697806,0.50000447610529,0.5000053475334524,0.5000021662457477,0.5000051343079606,0.4999958251826498,0.5000014683271472,0.4999925164640889,0.5000036223658011,0.500000187533238,0.49999873795988814,0.4999939695623893,0.5000054085120562,0.4999930160952782,0.4999951354352145,0.5000055330165712,0.5000074567721542,0.499998656041652,0.5000072241700714,0.5000071760586625,0.49999265611000726,0.4999937257638263,0.4999974328820044,0.4999946225771387,0.49999275816247757,0.5000070648920156,0.5000038490180423,0.5000052798034059,0.5000028075693563,0.5000060025839103,0.49999431417620005,0.4999986648938294,0.4999932841594424,0.4999995404367897,0.4999956039917115,0.500004090637397,0.499999349076812,0.5000072610414373,0.49999875418113693,0.5000030333940257,0.4999971795295892,0.5000019187384142,0.499992634971871,0.5000022252215919,0.4999977880995241,0.5000021238799387,0.4999975192176322,0.5000073462696583,0.4999974809247679,0.5000020372075826,0.4999979179330053,0.5000023807087833,0.49999266626442884,0.5000021563263126,0.4999974783775642,0.5000026941158401,0.49999838497376714,0.5000072601281061,0.4999988866226246,0.5000036066322503,0.49999611741283373,0.5000001466469746,0.4999931322432574,0.4999993638494886,0.4999948969002138,0.5000054191572524,0.5000019903706402,0.500005747090299,0.500002980407625,0.5000065759496366,0.4999931940647795,0.4999954980130678,0.4999965206256577,0.4999945399749593,0.49999274001970373,0.5000072159163085,0.5000066303909928,0.499999963231487,0.5000071068355089,0.5000061851097296,0.4999943121563582,0.49999285822300027,0.5000041071752181,0.49999340018210536,0.4999972730797175,0.5000017751337668,0.5000048376843514,0.4999930517261686,0.5000030601471246,0.49999756838539855,0.5000034646802682,0.5000002479081507,0.5000062717552847,0.5000025912944106,0.5000066219983471,0.49999299048068474,0.4999943811398817,0.4999987469378789,0.4999931431247295,0.4999937636380152,0.5000054258403067,0.500006884432588,0.49999485302836527,0.5000055108425348,0.5000002777073336,0.5000012487738107,0.4999983333011355,0.5000068312784102,0.5000015045259664,0.500006266911854,0.4999931127309738,0.49999435887567434,0.49999925161475783,0.4999929757694652,0.49999455374480223,0.5000041258083849,0.5000059557268577,0.4999934884370673,0.5000032071338213,0.49999704848885695,0.5000045730880174,0.5000024022480121,0.5000042059405009,0.5000055851879672,0.5000068799717742,0.4999939078776472,0.499993054226295,0.500005156273091,0.4999950703237236,0.5000011532832506,0.4999967809536722,0.4999989004986593,0.4999950029292407,0.4999949686999541,0.4999930390069823,0.5000061973988169,0.5000069149450573,0.4999946875548468,0.5000045117108547,0.4999980731014085,0.5000041124533494,0.500002380830242,0.500003728891029,0.5000061265304162,0.5000062563993091,0.4999953069088193,0.49999412315548214,0.500006705236267,0.49999832387668,0.5000048742503757,0.49999359111577674,0.49999445857091623,0.5000003216387487,0.49999304917816084,0.499997167468529,0.500000094212403,0.500001630341107,0.4999938262850955,0.4999961129875761,0.49999302592096745,0.5000061745182391,0.5000067031362633,0.499994025841024,0.5000028734950859,0.49999583183500423,0.5000061517928391,0.5000054462116141,0.49999938186737736,0.500006783236425,0.500001789506241,0.5000013776520178,0.500000238717024,0.5000047634142791,0.5000057383703265,0.5000060786558819,0.4999961497711234,0.4999953518415013,0.5000069189603046,0.5000016564529015,0.500006779053193,0.49999336338880457,0.49999316903495206,0.500005750786199,0.499997337613495,0.500004689205673,0.4999934178071747,0.4999936867312847,0.5000028164491065,0.49999443815679817,0.5000015203537711,0.4999952638523672,0.4999957328043845,0.4999996803379785,0.49999323252185973,0.4999985877663531,0.4999976588430016,0.49999812235142266,0.49999720537294656,0.4999932252885077,0.49999646209115595,0.49999978317218247,0.500000138690402,0.4999955992808848,0.49999375838932536,0.49999517397643956,0.5000012915191115,0.5000015116424462,0.4999947244506369,0.49999432003789784,0.4999945301998516,0.5000021278792934,0.5000022179950775,0.4999943693451813,0.4999946133700928,0.49999433877336824,0.5000023328964135,0.5000023009720099,0.4999944016922488,0.4999945255715882,0.4999945194917885,0.500001928034981,0.5000017720649034,0.49999482702695225,0.4999940973578839,0.4999951348701771,0.5000008869628596,0.5000005993262192,0.49999578404157036,0.49999353217981635,0.49999636205248155,0.4999991910833609,0.4999987799237259,0.49999747567148217,0.4999932313459558,0.49999839017685477,0.49999696963085755,0.4999964957930683,0.5000000048907101,0.49999378616285406,0.5000012103054267,0.49999469702261246,0.49999431215105233,0.5000031007078124,0.49999580369445507,0.5000043148467953,0.4999933252924444,0.4999932693535336,0.5000058341953135,0.4999994510794377,0.5000064855929734,0.49999408665036466,0.4999945801157219,0.5000066445009946,0.5000038063267459,0.5000060778602519,0.49999767980437326,0.4999986848772359,0.5000041407590315,0.5000065785273029,0.500002205310537,0.5000029920605767,0.5000039851806705,0.49999874779088044,0.5000051765158273,0.49999647032468186,0.5000065498075881,0.5000066748661024,0.49999394486473575,0.4999994547018701,0.4999933360142055,0.5000045966425827,0.5000034746024049,0.4999945423979843,0.4999939414646681,0.4999967111869776,0.49999779020560053,0.4999964126684383,0.5000011689014487,0.49999505043178233,0.5000040616723718,0.49999336883024337,0.49999351607973475,0.5000065436933137,0.5000026421201165,0.500006206177656,0.4999979183345255,0.4999996645029753,0.5000026142284534,0.5000065014356977,0.4999990066276955,0.5000057754758298,0.5000064470163743,0.4999943922198578,0.49999964695442445,0.49999340758517935,0.5000037279874807,0.5000019101466251,0.49999621604027433,0.4999934145269248,0.500000136899432,0.49999456763221534,0.49999366729189315,0.500005525532043,0.5000004890831735,0.5000065389741151,0.49999682641149146,0.4999989555555913,0.5000027935428406,0.5000063916688414,0.49999826220851545,0.5000062322510921,0.5000065432981994,0.49999359847817415,0.4999970184136435,0.4999943663751909,0.5000001987514632,0.4999977464422563,0.5000007154298654,0.4999955136466922,0.5000050871168812,0.4999938646490936,0.499995223338104,0.5000056400441386,0.5000061840351839,0.5000014446176971,0.5000047670498254,0.5000061602614531,0.49999439836596177,0.4999986589660689,0.4999938372300706,0.5000011794281893,0.49999835167027745,0.500000460001283,0.4999956258774278,0.5000053445288233,0.49999424370234097,0.4999961600306458,0.5000046519546733,0.5000064776201998,0.49999913474351065,0.5000061127016755,0.5000064067966924,0.4999935316438082,0.4999953993217632,0.4999963225523997,0.4999968187834533,0.49999452975175873,0.500004981296319,0.5000008231325457,0.5000061213904592,0.49999928470223576,0.5000025291589444,0.49999813827722056,0.5000027515429367,0.4999937322527426,0.5000038571441761,0.5000007028776703,0.4999987181143684,0.49999490058780777,0.5000049707743772,0.49999433627439305,0.4999967667087569,0.5000036242282498,0.5000061750583022,0.49999679773674677,0.5000063386514925,0.5000048207587181,0.49999496266235055,0.4999935997132374,0.5000016176841029,0.49999363675620045,0.4999943568757276,0.5000057413838473,0.5000062548056897,0.4999994732624805,0.5000061766455002,0.5000059847217512,0.49999398364759484,0.4999939134677962,0.5000000250758382,0.49999394267386404,0.4999939420120973,0.50000604936859,0.5000060683599397,0.49999987498375664,0.5000061096517763,0.50000593263953,0.4999941212914761,0.49999379513240994,0.5000008212668073,0.4999937276466877,0.49999447859810014,0.5000053870721827,0.5000063344669511,0.499997922037048,0.5000063154344877,0.5000046026150179,0.49999566686166813,0.4999938746971162,0.5000037401870407,0.4999941551556433,0.4999970964355962,0.5000024528786873,0.5000051152253175,0.4999946030847553,0.5000043845234103,0.5000002939026148,0.5000003205150918,0.49999711266091307,0.500006286666718,0.4999983682695049,0.5000028982291497,0.49999647423116395,0.49999945405834106,0.4999945620984533,0.49999791330042387,0.4999944082127129,0.5000059236746542,0.500004251217348,0.5000022645918218,0.5000053871781025,0.5000060848916574,0.4999942198499443,0.4999937552496465,0.5000024451569156,0.4999939413747303,0.4999968887614385,0.5000021298248694,0.5000044795731362,0.499994039841878,0.5000026272715675,0.49999767171493087,0.5000033888535245,0.5000008793861054,0.5000049445496714,0.5000032264014035,0.5000061165016456,0.4999937733688585,0.49999425253778296,0.5000008566021995,0.49999378609428047,0.4999961358061229,0.500002652805016,0.5000046093626117,0.49999403888248595,0.5000021736162142,0.49999694137247425,0.5000042911638796,0.5000023452874187,0.5000035647875443,0.5000048681547283,0.5000060378502329,0.49999454379905806,0.4999938674141281,0.5000040990393129,0.4999952257269604,0.500000178069601,0.4999980850817926,0.5000001433127426,0.4999948513876632,0.499996678630342,0.49999384659000945,0.5000060018475554,0.5000061416073639,0.49999683328289535,0.5000052774032898,0.5000004936730641,0.5000014856370534,0.4999996508798077,0.5000051144436708,0.5000035228642467,0.5000061458114083,0.49999422818086714,0.4999938729920622,0.5000041057166242,0.4999956059579072,0.5000011474807872,0.49999679534177516,0.49999826398312447,0.4999965396078294,0.4999947507257818,0.49999452488707957,0.5000040638719735,0.5000050466886887,0.49999410269390754,0.5000011542258943,0.49999547399199024,0.5000057642227089,0.5000051660008002,0.4999990335768754,0.5000059027917587,0.5000016395291335,0.5000008882064876,0.49999963492095395,0.5000047362130355,0.5000043500717972,0.5000058386296157,0.4999954414351235,0.49999477273244164,0.5000058514862912,0.4999991477218165,0.5000049062829637,0.49999401923025005,0.4999942829195522,0.5000025560995938,0.4999949528449937,0.5000007068781028,0.4999966182511471,0.4999974064042979,0.4999980272193448,0.49999402225177497,0.4999965231621124,0.5000007125853564,0.5000014886904155,0.4999949001777321,0.49999584577219625,0.49999427429678905,0.5000040430591802,0.5000045164432536,0.49999396636241517,0.4999988074083851,0.499994110151864,0.50000572860776,0.5000058754700096,0.4999946983395032,0.5000015796842607,0.49999525040975934,0.5000059788885838,0.5000059111058834,0.4999961854589692,0.5000035675519581,0.49999681817425173,0.5000054244036707,0.5000052722298132,0.4999977034222112,0.500004740436417,0.4999982204963956,0.5000046555908922,0.5000045139292351,0.49999885426193824,0.5000053155030394,0.4999991719730108,0.5000040596725338,0.5000039810861956,0.4999994830390058,0.500005524327659,0.49999957834450026,0.5000038310852861,0.5000038363578114,0.49999955263454915,0.5000054971528006,0.49999942343944265,0.5000040260169085,0.5000041130124089,0.49999906369097247,0.5000052241316045,0.4999987162699849,0.5000045890893302,0.5000047321619141,0.49999804533687114,0.500004559540253,0.4999975111035618,0.5000053310921269,0.5000054717734628,0.4999966175447436,0.5000032714383278,0.49999599507063686,0.5000058779016036,0.5000059162585504,0.49999510654080814,0.5000011730517526,0.49999461005683926,0.500005659462633,0.5000054668752177,0.49999414543569404,0.49999836880833926,0.4999941093760766,0.5000040623650965,0.5000035439565692,0.4999946055686571,0.49999555657320877,0.4999953615162051,0.5000008660497203,0.5000000819063677,0.4999971517191938,0.49999412067477084,0.4999987227274616,0.4999968844100333,0.49999616421914805,0.5000013891307812,0.49999555471529955,0.5000031318314098,0.49999426075284714,0.49999413580665863,0.5000051644988807,0.499999992175466,0.5000058110331792,0.49999545013775787,0.49999623197848536,0.5000053038479222,0.500004760870251,0.5000039184692313,0.5000005837188333,0.500001778512484,0.5000006208634932,0.5000053249426998,0.49999810369383973,0.5000054057373061,0.5000057625875961,0.4999950449807495,0.5000000384655373,0.49999418890809155,0.5000041025638249,0.5000029656114565,0.4999953956735582,0.4999945176283663,0.4999977379877476,0.4999972566332408,0.49999600720014986,0.5000022528193049,0.499996788945909,0.5000047192934981,0.49999442982560066,0.49999511652061907,0.5000056483521172,0.5000043097507794,0.5000039590144112,0.5000010175970921,0.5000026753462721,0.49999908376366203,0.5000040998345099,0.4999959103383498,0.5000057112918999,0.5000051219418916,0.49999431264419764,0.49999575497736143,0.4999961627907108,0.4999986306907196,0.4999968332810207,0.5000016903539908,0.49999669214746045,0.5000048482364319,0.4999947183945865,0.49999587275496493,0.5000050331998802,0.5000053457336624,0.5000018311922823,0.5000036173529615,0.5000050145588738,0.4999958226526734,0.5000003273177378,0.4999942549105712,0.5000029001651515,0.5000007524833799,0.49999798799737233,0.49999463282166823,0.500002527930521,0.4999942816148028,0.4999946033450645,0.5000056768682547,0.5000043930584259,0.5000031508546616,0.5000026296150002,0.5000045273930438,0.4999962116139962,0.5000005109964736,0.49999429018386804,0.5000024774893673,0.4999999661874848,0.49999906700440866,0.49999532887827614,0.5000039452321731,0.499994536435838,0.4999958837839944,0.5000046616926722,0.5000056213037134,0.49999995677874637,0.5000051346822354,0.500005684659186,0.4999943327274644,0.49999621909691383,0.4999965413753207,0.49999736815128815,0.49999524280942903,0.5000043735852874,0.5000007986767756,0.5000053314744832,0.49999962095052924,0.5000025329909321,0.49999795818235404,0.5000019462950996,0.4999943788832635,0.5000028179857656,0.4999998420339924,0.49999972965812395,0.4999961525910476,0.5000049564473209,0.49999564150319153,0.49999826084066096,0.5000020409983822,0.5000049006969824,0.49999601228877044,0.50000514044938,0.500002992685171,0.49999682916181887,0.4999946342600661,0.5000031569081423,0.4999945485122416,0.4999963242430915,0.5000037551472093,0.5000055176700305,0.49999730688211363,0.5000055339442613,0.5000039085702097,0.4999960919593255,0.4999944712938279,0.5000026831627383,0.49999449434962423,0.49999624885049854,0.5000036713374175,0.500005430339413,0.499996874482043,0.5000053397106471,0.5000031681474973,0.499997008456512,0.499994890035473,0.5000039317023606,0.4999951301078473,0.49999794796712255,0.5000017549387085,0.5000043326124134,0.4999951244585183,0.5000038292457366,0.5000003124873313,0.5000001074684183,0.4999971807644982,0.5000055256575996,0.4999980339819613,0.5000019529475702,0.49999756599337164,0.5000004340821709,0.49999474941264876,0.4999992835230978,0.49999576113887084,0.5000046162578564,0.5000025082280906,0.5000034401933586,0.5000036334406472,0.500005523164529,0.4999944530377842,0.49999503357368086,0.49999995436865174,0.4999945449399075,0.49999541418975896,0.5000040649363425,0.5000053325880024,0.49999624383306024,0.5000045872466424,0.5000010063900421,0.49999992660618225,0.49999750538364734,0.5000055249544144,0.49999939376911595,0.50000357093726,0.49999570426737366,0.49999757147269985,0.499996862683707,0.49999585091363047,0.4999945219802447,0.5000052310538952,0.5000054833319992,0.4999976933695896,0.500005196203905,0.5000020578672318,0.4999991400839141,0.4999971010225668,0.5000054976367768,0.4999995402102677,0.5000038869555292,0.49999528851989933,0.4999966698905851,0.4999981067173433,0.499994968044903,0.4999951319849421,0.500004038609682,0.5000050852140765,0.499995486879891,0.5000032779395311,0.4999985616502041,0.5000028548732554,0.500001125050152,0.500003764314719,0.5000038907972901,0.5000054064380431,0.49999507806577215,0.4999945816496139,0.5000037211700644,0.49999600188162335,0.5000006705604899,0.49999765768497784,0.4999992392252758,0.49999613407812254,0.499996090603399,0.499994654684391,0.5000046897798731,0.500005276687361,0.49999570663321513,0.5000031820516652,0.49999809423715896,0.5000035698864211,0.5000023652948946,0.5000023153087096,0.5000050331977152,0.5000044271981572,0.4999970423615861,0.49999602015988565,0.5000053806664967,0.49999972769448536,0.5000044714940686,0.4999946953053919,0.49999508342488774,0.5000015235823528,0.49999497157317674,0.49999917764096563,0.49999859700685995,0.49999971404151256,0.4999961948786485,0.499995761831986,0.49999500387366913,0.5000036696712041,0.5000043520525311,0.49999469431851484,0.50000027666508,0.4999953889824536,0.5000053668906359,0.5000052015171882,0.49999736726612215,0.5000042512732342,0.4999990042451911,0.5000032892652033,0.5000026015474779,0.5000014475888792,0.5000053462009805,0.5000028518692735,0.4999996299265283,0.49999891762660903,0.5000044019672173,0.5000038380382615,0.5000050201213538,0.49999654026709844,0.4999960938104737,0.500005358226059,0.5000011758006412,0.500005251951161,0.49999493824493735,0.4999947959212536,0.5000047316572062,0.4999986250233763,0.5000042263389601,0.499994689066435,0.49999475288927187,0.5000033562462023,0.4999967818381079,0.5000027605841335,0.49999522190598633,0.4999953704763852,0.5000019185086103,0.49999569715874065,0.5000014208298069,0.49999598137498885,0.4999961243697833,0.5000008007681777,0.4999951701213481,0.5000004813238954,0.49999659719112444,0.4999966838728764,0.5000001504660526,0.4999949731168791,0.500000030090923,0.49999687960876504,0.49999688876514387,0.49999999999999956],"S":[0.4999920422528454,0.5000064140842391,0.5000063722173137,0.49999205657484147,0.4999972437961922,0.49999207628994935,0.5000060097341283,0.5000058644975801,0.4999921525623253,0.49999627386552487,0.4999922623410569,0.5000050157857328,0.5000047270842651,0.4999925776212218,0.49999479330490226,0.4999929310754909,0.5000032120968917,0.5000027369997156,0.49999375425234094,0.49999318857452374,0.4999945407913448,0.5000004507605514,0.4999997921793059,0.4999961288328569,0.49999218343596324,0.4999974663670191,0.49999694913817794,0.499996225971371,0.4999998385336348,0.49999278659663365,0.5000015837043252,0.4999936288053427,0.4999931264974734,0.5000042091893689,0.4999958438204152,0.5000057680551405,0.49999218524849504,0.49999229146651164,0.5000074116050303,0.5000011009951776,0.5000077998386954,0.499994362522625,0.4999952900194049,0.5000069923168061,0.5000062759445583,0.5000054568890103,0.500000198698312,0.500001572027419,0.5000018690484314,0.5000075124255224,0.4999989775759771,0.50000632782332,0.5000070808023093,0.4999948717491892,0.500002505699203,0.4999929773910983,0.5000071141820119,0.500006292813483,0.49999244017657635,0.4999947329976288,0.49999390934909205,0.5000003775858385,0.4999985745072205,0.49999843630442625,0.49999276275731425,0.5000021603342849,0.4999929308315916,0.4999923927987343,0.5000066553938042,0.5000003784930719,0.5000076883843262,0.49999520454506835,0.49999699854178076,0.5000052532036958,0.5000075762014174,0.5000014474629455,0.5000050893262269,0.500006518307249,0.499995160225677,0.5000020695091015,0.4999926578760134,0.5000060908487477,0.5000043864809558,0.49999389567060226,0.49999269027685356,0.49999784410681314,0.49999527872703914,0.49999359848346714,0.5000049149527873,0.4999983431485636,0.5000074733327231,0.4999945862163253,0.49999673613050527,0.5000050140993364,0.5000075905252448,0.5000000404473363,0.500006331235884,0.5000074097042976,0.49999325663746214,0.49999839883744385,0.4999927099114012,0.5000021212656268,0.499999230311544,0.49999896620994266,0.4999936332545271,0.500004594610852,0.49999249007386337,0.49999343028804,0.5000072212639308,0.5000064390835882,0.5000032589553051,0.5000042640613885,0.5000064389644852,0.4999944753769952,0.5000000165261332,0.49999252802710964,0.50000282854168,0.49999957373613796,0.49999905936635936,0.499993969160124,0.500005268508589,0.4999928161639696,0.49999453320004733,0.5000062261460265,0.5000073474525437,0.5000002913036385,0.500006550865001,0.5000074798041942,0.4999926286200829,0.49999558284806456,0.49999484510889414,0.499997354711782,0.4999943381868506,0.5000050053535116,0.49999988965415315,0.5000073319347753,0.499998177146174,0.5000019908847791,0.499998785585019,0.5000039987049295,0.49999302047169875,0.5000051318160049,0.5000016602336944,0.4999977116962104,0.49999365314152294,0.5000052124676935,0.4999931361555429,0.4999956511464078,0.5000047501321323,0.5000072841414719,0.4999968874993388,0.50000738430748,0.5000059467132175,0.49999384336656155,0.4999926404495985,0.5000013465751277,0.49999272447269943,0.49999327442730346,0.5000068139026757,0.500007117046558,0.4999998001867481,0.5000070200911212,0.5000070207252033,0.49999295570547203,0.4999930769511717,0.49999974463239905,0.49999309802752534,0.4999929443007392,0.5000070390564417,0.5000069401602955,0.5000000164703118,0.500007006041939,0.5000068794094048,0.4999931899230283,0.49999286013150546,0.500000909540114,0.4999927717309355,0.49999364150064285,0.5000061898887188,0.5000073019629528,0.49999752510283063,0.5000072689482719,0.5000052107421817,0.49999512378954475,0.49999299040531153,0.5000044741828574,0.4999933580151695,0.4999968843655384,0.5000025653661846,0.5000057083801677,0.49999362041196044,0.5000047901023993,0.4999999616376293,0.5000007689177294,0.49999705881642525,0.5000072500567037,0.4999985823761605,0.5000037700590928,0.49999552009066967,0.4999988301861769,0.49999404542947656,0.4999970469299991,0.49999330712247286,0.5000070022963253,0.5000053602871528,0.5000019519318766,0.5000065327475308,0.5000067883244527,0.49999367995561994,0.49999280010779207,0.5000035380774112,0.4999932850046112,0.49999718784156544,0.5000016059038268,0.5000044826279718,0.49999292548972224,0.5000021343624108,0.4999964456400401,0.5000046946192245,0.5000020093159789,0.5000049894968288,0.5000045793783086,0.500007156586327,0.49999295101186564,0.49999304128837296,0.5000021187574147,0.4999930110153446,0.49999656643189877,0.500001892942296,0.5000043760272369,0.49999290309418903,0.5000012412308547,0.4999953985708214,0.5000058109371184,0.5000039080817165,0.5000028806066162,0.5000063535235231,0.5000064727299942,0.4999945548864588,0.4999933107246622,0.5000057255680674,0.4999956144936257,0.5000017458422398,0.4999963636463076,0.4999985687917999,0.49999513583065125,0.49999491071579255,0.4999930123147045,0.5000063048310529,0.5000069899682471,0.49999499467203407,0.5000049664442398,0.4999987835673659,0.5000033886609214,0.5000014247847756,0.5000046454455261,0.5000054224092904,0.5000067824035296,0.49999427657441753,0.49999336995354515,0.500005973047335,0.4999965353701042,0.5000032174016956,0.49999476308010116,0.49999614391127173,0.4999979016975389,0.4999931801700966,0.49999494850388654,0.5000028563351984,0.5000042990216368,0.49999299698601757,0.4999991120684666,0.4999935940762053,0.5000070005016174,0.5000068054939897,0.49999671139490565,0.5000058118662277,0.4999995462286405,0.5000032674301987,0.5000019559869988,0.5000036089537504,0.5000063573112792,0.5000055907151214,0.49999672242310755,0.49999565451142836,0.5000069368498842,0.5000015643580389,0.5000067241931737,0.4999931826082015,0.49999305194449273,0.5000050596547444,0.49999608603223705,0.5000033549741427,0.4999942259569834,0.4999948505884686,0.5000004558960444,0.49999326991026044,0.49999857152951976,0.49999802270826366,0.4999988817591816,0.4999961530123686,0.49999361713873247,0.49999492072953716,0.500002102581391,0.5000028012989393,0.49999369676013566,0.4999959149353478,0.4999932717709679,0.5000050108072518,0.5000054119424562,0.4999931185215859,0.4999987283587577,0.49999326350356843,0.5000064693725693,0.5000066156856043,0.49999371971054996,0.5000011464854478,0.49999411327193255,0.5000068616781096,0.5000068607385119,0.49999473862954874,0.5000028372656347,0.4999951341227436,0.5000067274646344,0.500006678422609,0.49999563942527503,0.5000038136278271,0.49999589551968093,0.5000064959525584,0.5000064626323707,0.49999613467378357,0.5000041939470017,0.49999619007998114,0.5000064095731238,0.5000064179956583,0.4999961135814399,0.500004054151219,0.4999959589853949,0.5000065275387539,0.5000065685789759,0.4999955855683045,0.5000033713703033,0.49999525675759837,0.5000067336245181,0.5000067623831924,0.49999468254013757,0.5000020439431945,0.49999427841746985,0.5000067288661685,0.5000066636526955,0.4999937165665275,0.49999999223400887,0.4999934285295138,0.500006045964318,0.5000057808712031,0.49999324284970237,0.49999735263386635,0.499993357956252,0.5000041738866026,0.500003626656351,0.4999940124056964,0.4999947257080229,0.49999482595479317,0.5000008935799886,0.50000010105734,0.49999664803990046,0.49999329672741466,0.49999822968501173,0.499996807660703,0.49999603194762726,0.5000009659664578,0.49999447222386023,0.5000028400779825,0.49999370832579054,0.4999934272520107,0.5000052675248916,0.49999874386703524,0.500006320896483,0.4999940144354066,0.4999946278425472,0.5000065678071822,0.5000042273192893,0.5000056718964736,0.4999986994008054,0.49999998363961673,0.5000028021521432,0.50000664695654,0.500000182710624,0.5000048244919146,0.5000056828501318,0.4999961861991821,0.5000027545492663,0.4999942172633566,0.500006271852321,0.5000055958386451,0.49999345942596857,0.49999557164349306,0.4999947488517207,0.5000002500965395,0.4999986010702124,0.49999893153556135,0.4999939218343653,0.5000023176838957,0.49999371363238004,0.4999933891993185,0.5000060782064761,0.50000121396219,0.5000065359936633,0.4999967885272304,0.4999985614659365,0.5000034856806248,0.5000065906250565,0.49999974523745433,0.5000054397471209,0.5000063090432258,0.49999460571345544,0.49999988927683114,0.4999934177469534,0.5000037146066881,0.5000017804216126,0.49999643547988354,0.4999934454317478,0.5000006385048533,0.49999425034307715,0.499993518970251,0.5000059376060145,0.500001473124662,0.5000063220354001,0.49999797227590026,0.50000032012344,0.500001379276628,0.5000058272401279,0.49999667229827116,0.5000065373244695,0.5000061369715958,0.49999350431098,0.4999952520145444,0.4999959064766895,0.49999777330670625,0.4999955559882442,0.5000032742525955,0.49999793755768335,0.5000063540706291,0.4999955613530228,0.49999789220737384,0.5000033133984935,0.5000063658374628,0.4999979244487358,0.5000063923411585,0.5000062850264859,0.49999352138422276,0.49999520243058465,0.4999963188002775,0.4999970090305473,0.49999477494692274,0.5000045134894788,0.4999998640836578,0.5000064183468965,0.4999978681992048,0.5000009102444515,0.5000000434859894,0.5000045432651479,0.499994684937003,0.5000056231161546,0.5000034325002584,0.4999958940893885,0.4999935999648346,0.5000020329288329,0.49999359228320917,0.4999940720875527,0.5000061674245659,0.5000058222449596,0.5000014667301912,0.5000051502292111,0.5000063933476968,0.49999369982132724,0.49999608872549967,0.4999959305889438,0.4999969738492677,0.49999445491967126,0.5000052946964134,0.5000017332882362,0.5000055540954252,0.500000943841131,0.5000042185942121,0.4999960467185733,0.5000000807885077,0.4999938096584745,0.5000006429858591,0.4999969955760896,0.500002806256915,0.49999870263209106,0.500006363610309,0.49999839086691866,0.500002211486874,0.4999978837718878,0.5000018964260439,0.4999936274726571,0.5000019712940633,0.49999803900828177,0.5000019792398473,0.4999980882358745,0.500006358602675,0.49999824293607137,0.5000022774123234,0.49999759347892464,0.5000013483150008,0.4999937062195685,0.5000009547721573,0.4999968797403755,0.5000033420478569,0.49999982019767525,0.5000059839684597,0.5000004573205984,0.5000043448675918,0.4999953897967314,0.4999984255517846,0.4999949031949132,0.4999975974072042,0.499994389987005,0.5000058184731968,0.5000036978458627,0.5000032682239004,0.5000045334712138,0.500006297498769,0.49999370630158235,0.49999440132334116,0.4999996418046335,0.49999392081006555,0.4999944153771798,0.5000052082036385,0.5000062631543686,0.49999684989798576,0.5000059252340734,0.5000028571776034,0.49999792382578034,0.499995385188998,0.5000058489228851,0.49999679288769017,0.50000150012323,0.49999758438474784,0.5000004663869814,0.49999423764284073,0.4999984361019105,0.4999945739412637,0.5000058783503257,0.5000043581940116,0.5000018724999057,0.500005665380059,0.5000057920253974,0.49999476038552343,0.49999382472489334,0.5000037984551509,0.4999946673933895,0.499998814956116,0.4999998792362402,0.5000023920348861,0.4999938363115973,0.4999997138137361,0.4999951284219291,0.5000056210914066,0.5000041662489875,0.5000017432093751,0.5000058154084499,0.5000053998423819,0.49999552011550824,0.4999942595238016,0.5000050710701515,0.4999961666476872,0.5000013812956455,0.499997073635021,0.4999991661572544,0.49999536621351093,0.49999606926857426,0.4999938207694158,0.5000058752011978,0.5000061753298194,0.49999659156948956,0.5000052023567979,0.5000004494415544,0.5000014194196354,0.499999463256613,0.5000052867645907,0.5000031776671301,0.5000061380332171,0.49999402650081304,0.4999938568245769,0.5000034166750421,0.49999496101427954,0.50000004162725,0.4999978953267335,0.4999995826653984,0.4999954361893139,0.4999957164748969,0.4999939741862819,0.5000052276469169,0.5000058783832037,0.49999494372862063,0.5000031553761142,0.4999972603770063,0.5000045758595879,0.5000034576963001,0.5000016179396025,0.50000600291269,0.5000041053298636,0.4999979792241442,0.49999674522136356,0.5000060264879753,0.5000015430476645,0.5000058742948017,0.4999939685850893,0.49999391681760436,0.5000038312170084,0.49999573873344616,0.5000017214917167,0.49999596958307246,0.4999968899958883,0.4999983482525223,0.4999939822324965,0.4999964166962204,0.50000105540452,0.5000020421351451,0.49999449604222423,0.4999966346877715,0.4999939774291814,0.5000050305843168,0.500005476154235,0.4999942732930624,0.5000009620945681,0.4999950459315773,0.5000060079568428,0.5000058616792511,0.49999675354241285,0.5000043888823542,0.4999980742600656,0.5000044853216402,0.5000040048090896,0.5000000657439627,0.5000059126314567,0.5000012898009856,0.5000018733377407,0.5000013332922255,0.5000028572220905,0.500005809342223,0.5000036956488582,0.49999933523020623,0.49999889524412905,0.5000046458149752,0.500004835244134,0.5000050946757905,0.49999742544452225,0.49999713139941315,0.500005542907471,0.5000036741260658,0.5000057251361907,0.4999962261161522,0.49999606120479023,0.5000058779178881,0.5000027533728284,0.5000059264691314,0.4999956067341327,0.4999955384117003,0.5000059548879515,0.5000022765972698,0.5000059578922559,0.4999954206690982,0.4999954280105679,0.5000059492743708,0.5000023127073536,0.500005933651068,0.49999560623307837,0.49999569064719424,0.5000058808282365,0.5000028535446076,0.5000058103173239,0.4999962156214065,0.49999639979894805,0.500005613169113,0.5000038095366102,0.5000053926803787,0.4999973868172547,0.4999977015979102,0.5000048739791288,0.5000049465256388,0.5000043708973106,0.49999924615490077,0.4999997004487984,0.5000033346317615,0.5000058020303607,0.5000024417296041,0.5000017198739934,0.500002252718661,0.5000008121292856,0.5000056787966243,0.49999957088906427,0.5000042842588828,0.5000047193413713,0.4999976112603294,0.5000038776422497,0.4999963614793941,0.5000058291134587,0.5000058903452804,0.499994845926703,0.50000029161176,0.4999942559218845,0.5000049893228113,0.5000044566176691,0.4999942886592927,0.49999615773368006,0.4999950311272515,0.5000012383991935,0.5000002416219763,0.49999721617556603,0.4999941351661141,0.49999922355311305,0.4999963061677567,0.4999955142055763,0.5000024827922999,0.49999659354650805,0.5000043462844191,0.49999417946154084,0.4999944294414077,0.5000058123678491,0.5000024060270681,0.5000055247553015,0.49999779277387035,0.49999907188383663,0.5000030808439745,0.5000058324405896,0.5000004744560973,0.500004139800741,0.5000050149016485,0.4999964335725212,0.5000019590795314,0.49999463782846476,0.5000051301794041,0.5000042281907866,0.4999946408838065,0.4999951564730668,0.49999661263851836,0.4999983585188033,0.49999686179766234,0.5000013297411418,0.4999961175295697,0.5000042366490844,0.49999429360221226,0.4999948602998479,0.5000057192699561,0.5000040885772699,0.500004095774726,0.500000925996982,0.5000026865751412,0.49999895998345084,0.5000039221340465,0.49999568086741697,0.5000056106887862,0.5000048272672429,0.49999448192701657,0.4999952734397385,0.49999687706478047,0.49999768944769624,0.4999959780888702,0.5000028022774454,0.49999785874876207,0.5000054575224707,0.4999955246685321,0.4999971814760911,0.5000039516726272,0.5000057388941274,0.49999988994755334,0.5000049581602872,0.5000056924733812,0.4999946242648175,0.4999979711321538,0.4999948513374896,0.5000004189333761,0.4999980692354705,0.5000007753904295,0.4999963250232539,0.5000047804717108,0.49999491646542354,0.49999650195190165,0.500004284648716,0.5000056943345524,0.4999997528790871,0.5000051479749784,0.5000057109555138,0.49999436774850836,0.4999967212858978,0.49999587918463345,0.4999983653441235,0.4999960558801884,0.5000032779023624,0.4999990760415394,0.5000056945275311,0.4999975420877994,0.500000260290364,0.5000004918893395,0.5000042475359683,0.49999548872668437,0.500005036263535,0.5000031042949425,0.49999637836820654,0.4999943800746363,0.5000019426349975,0.4999943403355031,0.4999949268853701,0.5000052877778639,0.5000053215273045,0.5000006977764663,0.5000049112069713,0.5000056580227248,0.49999434824887573,0.4999958539120526,0.4999972790662309,0.4999964013016024,0.49999462415145596,0.5000052665046053,0.5000028039723204,0.5000039943236588,0.5000023258626903,0.5000047807019719,0.499995337972124,0.4999982751752423,0.49999533335160845,0.49999858491268395,0.49999573531471425,0.5000041922739972,0.5000010996342454,0.5000049374694003,0.5000009922613968,0.5000040385465372,0.49999596370486266,0.49999901228891325,0.49999506841493635,0.49999891121194284,0.49999582815407395,0.5000042396346085,0.5000013937203521,0.5000046518841369,0.5000016953607593,0.5000046181697774,0.4999952678509826,0.4999977177272909,0.49999602002695503,0.49999725034451836,0.4999947996514454,0.5000053059105257,0.5000035268997097,0.5000027235502157,0.5000040624634549,0.5000055720022141,0.4999944222356325,0.49999518823454747,0.4999992607588898,0.49999478537066827,0.4999947825464692,0.5000050089619398,0.50000555013026,0.4999981555451339,0.5000055168535372,0.5000035999197187,0.49999690227417143,0.49999504087379937,0.500004362067405,0.49999580010528444,0.49999943952976045,0.4999998291996253,0.5000024720606806,0.4999944544678836,0.5000009878688136,0.4999968883301929,0.5000037639126749,0.5000014942808245,0.5000040668447382,0.5000030957798627,0.5000054399039122,0.4999944701987517,0.4999950664705374,0.5000001282957577,0.4999945088394018,0.49999578721359306,0.5000034676601812,0.5000049557125453,0.4999954620548786,0.500003633135216,0.49999937967712527,0.5000017345056033,0.4999994666518428,0.5000050009822649,0.5000018190194246,0.5000051042697986,0.4999945660350709,0.499995326411987,0.499999960361566,0.4999945233876637,0.49999611729532506,0.5000028222199351,0.500004364918579,0.4999948486100828,0.5000021863167916,0.4999974736943918,0.5000037079214338,0.5000020442425633,0.5000031063448774,0.5000043877177652,0.5000052827501473,0.4999953303786262,0.499994645626614,0.5000039679207764,0.49999615869987246,0.5000008023520109,0.4999976277907887,0.49999931167932404,0.4999960044131961,0.4999962843028389,0.4999945850890098,0.5000049258552791,0.50000539919533,0.4999961575586006,0.500003795519268,0.4999989528081906,0.5000027667050128,0.5000013360260038,0.5000033429209652,0.5000044116222497,0.500005092710201,0.4999959008139331,0.4999951079040762,0.5000049138982217,0.4999979619079346,0.5000031411278187,0.4999954503811031,0.49999631388552307,0.4999993255179362,0.499994585916609,0.4999969386013322,0.5000010984663597,0.50000227017952,0.4999948052761599,0.4999979996410071,0.4999946530090845,0.5000052228623019,0.5000053986130223,0.4999961622948211,0.5000033503755597,0.4999979491510594,0.5000039599202418,0.5000031917564718,0.5000009785960682,0.5000053862434505,0.5000027940928994,0.4999995048043109,0.49999859526914975,0.5000046987336701,0.5000033040002405,0.5000052894791743,0.499995741919706,0.4999952922532169,0.5000051784023638,0.49999944326391227,0.5000045540242473,0.4999946412841267,0.49999474055394794,0.5000030718925809,0.4999962498192182,0.5000018903304074,0.4999959029511572,0.4999963287798357,0.5000000788691953,0.49999477362917377,0.49999895351062024,0.49999825716951946,0.4999987521628023,0.49999750366594914,0.49999483178438187,0.4999967258830837,0.5000005971229701,0.500001005588449,0.49999584550630793,0.49999573989588847,0.4999954321674584,0.5000023741570345,0.500002648625965,0.49999502526817835,0.49999685434715097,0.49999486465392307,0.5000034960221311,0.5000036513022746,0.49999473765190827,0.49999776687492287,0.49999470245717076,0.50000408626979,0.5000041546486299,0.4999946881002876,0.4999982822986716,0.4999946896046871,0.5000042948263455,0.5000042992769477,0.4999946948352303],"x":[40000.0,40020.02002002002,40040.04004004004,40060.06006006006,40080.08008008008,40100.1001001001,40120.12012012012,40140.14014014014,40160.16016016016,40180.18018018018,40200.2002002002,40220.22022022022,40240.24024024024,40260.260260260264,40280.28028028028,40300.3003003003,40320.32032032032,40340.34034034034,40360.36036036036,40380.38038038038,40400.4004004004,40420.42042042042,40440.44044044044,40460.46046046046,40480.48048048048,40500.5005005005,40520.52052052052,40540.54054054054,40560.56056056056,40580.58058058058,40600.6006006006,40620.62062062062,40640.64064064064,40660.66066066066,40680.68068068068,40700.7007007007,40720.72072072072,40740.74074074074,40760.760760760764,40780.780780780784,40800.800800800804,40820.82082082082,40840.84084084084,40860.86086086086,40880.88088088088,40900.9009009009,40920.92092092092,40940.94094094094,40960.96096096096,40980.98098098098,41001.001001001,41021.02102102102,41041.04104104104,41061.06106106106,41081.08108108108,41101.1011011011,41121.12112112112,41141.14114114114,41161.16116116116,41181.18118118118,41201.2012012012,41221.22122122122,41241.24124124124,41261.261261261265,41281.281281281284,41301.301301301304,41321.321321321324,41341.341341341344,41361.36136136136,41381.38138138138,41401.4014014014,41421.42142142142,41441.44144144144,41461.46146146146,41481.48148148148,41501.5015015015,41521.52152152152,41541.54154154154,41561.56156156156,41581.58158158158,41601.6016016016,41621.62162162162,41641.64164164164,41661.66166166166,41681.68168168168,41701.7017017017,41721.72172172172,41741.74174174174,41761.761761761765,41781.781781781785,41801.801801801805,41821.821821821824,41841.841841841844,41861.861861861864,41881.88188188188,41901.9019019019,41921.92192192192,41941.94194194194,41961.96196196196,41981.98198198198,42002.002002002,42022.02202202202,42042.04204204204,42062.06206206206,42082.08208208208,42102.1021021021,42122.12212212212,42142.14214214214,42162.16216216216,42182.18218218218,42202.2022022022,42222.22222222222,42242.24224224224,42262.262262262266,42282.282282282285,42302.302302302305,42322.322322322325,42342.342342342345,42362.362362362364,42382.382382382384,42402.402402402404,42422.42242242242,42442.44244244244,42462.46246246246,42482.48248248248,42502.5025025025,42522.52252252252,42542.54254254254,42562.56256256256,42582.58258258258,42602.6026026026,42622.62262262262,42642.64264264264,42662.66266266266,42682.68268268268,42702.7027027027,42722.72272272272,42742.74274274274,42762.762762762766,42782.782782782786,42802.802802802806,42822.822822822825,42842.842842842845,42862.862862862865,42882.882882882885,42902.902902902904,42922.922922922924,42942.942942942944,42962.96296296296,42982.98298298298,43003.003003003,43023.02302302302,43043.04304304304,43063.06306306306,43083.08308308308,43103.1031031031,43123.12312312312,43143.14314314314,43163.16316316316,43183.18318318318,43203.2032032032,43223.22322322322,43243.24324324324,43263.26326326327,43283.28328328329,43303.303303303306,43323.323323323326,43343.343343343346,43363.363363363365,43383.383383383385,43403.403403403405,43423.423423423425,43443.443443443444,43463.463463463464,43483.483483483484,43503.5035035035,43523.52352352352,43543.54354354354,43563.56356356356,43583.58358358358,43603.6036036036,43623.62362362362,43643.64364364364,43663.66366366366,43683.68368368368,43703.7037037037,43723.72372372372,43743.74374374374,43763.76376376377,43783.78378378379,43803.80380380381,43823.82382382383,43843.843843843846,43863.863863863866,43883.883883883886,43903.903903903905,43923.923923923925,43943.943943943945,43963.963963963964,43983.983983983984,44004.004004004004,44024.024024024024,44044.04404404404,44064.06406406406,44084.08408408408,44104.1041041041,44124.12412412412,44144.14414414414,44164.16416416416,44184.18418418418,44204.2042042042,44224.22422422422,44244.24424424424,44264.26426426427,44284.28428428429,44304.30430430431,44324.32432432433,44344.34434434435,44364.364364364366,44384.384384384386,44404.404404404406,44424.424424424426,44444.444444444445,44464.464464464465,44484.484484484485,44504.504504504504,44524.524524524524,44544.544544544544,44564.56456456456,44584.58458458458,44604.6046046046,44624.62462462462,44644.64464464464,44664.66466466466,44684.68468468468,44704.7047047047,44724.72472472472,44744.74474474474,44764.76476476477,44784.78478478479,44804.80480480481,44824.82482482483,44844.84484484485,44864.86486486487,44884.88488488489,44904.904904904906,44924.924924924926,44944.944944944946,44964.964964964965,44984.984984984985,45005.005005005005,45025.025025025025,45045.045045045044,45065.065065065064,45085.085085085084,45105.1051051051,45125.12512512512,45145.14514514514,45165.16516516516,45185.18518518518,45205.2052052052,45225.22522522522,45245.24524524524,45265.26526526527,45285.28528528529,45305.30530530531,45325.32532532533,45345.34534534535,45365.36536536537,45385.38538538539,45405.40540540541,45425.42542542543,45445.445445445446,45465.465465465466,45485.485485485486,45505.505505505505,45525.525525525525,45545.545545545545,45565.565565565565,45585.585585585584,45605.605605605604,45625.625625625624,45645.64564564564,45665.66566566566,45685.68568568568,45705.7057057057,45725.72572572572,45745.74574574574,45765.76576576577,45785.78578578579,45805.80580580581,45825.82582582583,45845.84584584585,45865.86586586587,45885.88588588589,45905.90590590591,45925.92592592593,45945.94594594595,45965.96596596597,45985.985985985986,46006.006006006006,46026.026026026026,46046.046046046045,46066.066066066065,46086.086086086085,46106.106106106105,46126.126126126124,46146.146146146144,46166.166166166164,46186.18618618618,46206.2062062062,46226.22622622622,46246.24624624624,46266.26626626627,46286.28628628629,46306.30630630631,46326.32632632633,46346.34634634635,46366.36636636637,46386.38638638639,46406.40640640641,46426.42642642643,46446.44644644645,46466.46646646647,46486.48648648649,46506.50650650651,46526.526526526526,46546.546546546546,46566.566566566566,46586.586586586585,46606.606606606605,46626.626626626625,46646.646646646645,46666.666666666664,46686.686686686684,46706.706706706704,46726.72672672672,46746.74674674674,46766.76676676677,46786.78678678679,46806.80680680681,46826.82682682683,46846.84684684685,46866.86686686687,46886.88688688689,46906.90690690691,46926.92692692693,46946.94694694695,46966.96696696697,46986.98698698699,47007.00700700701,47027.02702702703,47047.04704704705,47067.067067067066,47087.087087087086,47107.107107107106,47127.127127127125,47147.147147147145,47167.167167167165,47187.187187187184,47207.207207207204,47227.227227227224,47247.247247247244,47267.26726726727,47287.28728728729,47307.30730730731,47327.32732732733,47347.34734734735,47367.36736736737,47387.38738738739,47407.40740740741,47427.42742742743,47447.44744744745,47467.46746746747,47487.48748748749,47507.50750750751,47527.52752752753,47547.54754754755,47567.56756756757,47587.587587587586,47607.607607607606,47627.627627627626,47647.647647647645,47667.667667667665,47687.687687687685,47707.707707707705,47727.727727727724,47747.747747747744,47767.76776776777,47787.78778778779,47807.80780780781,47827.82782782783,47847.84784784785,47867.86786786787,47887.88788788789,47907.90790790791,47927.92792792793,47947.94794794795,47967.96796796797,47987.98798798799,48008.00800800801,48028.02802802803,48048.04804804805,48068.06806806807,48088.08808808809,48108.10810810811,48128.128128128126,48148.148148148146,48168.168168168166,48188.188188188185,48208.208208208205,48228.228228228225,48248.248248248245,48268.26826826827,48288.28828828829,48308.30830830831,48328.32832832833,48348.34834834835,48368.36836836837,48388.38838838839,48408.40840840841,48428.42842842843,48448.44844844845,48468.46846846847,48488.48848848849,48508.50850850851,48528.52852852853,48548.54854854855,48568.56856856857,48588.58858858859,48608.60860860861,48628.62862862863,48648.64864864865,48668.668668668666,48688.688688688686,48708.708708708706,48728.728728728725,48748.748748748745,48768.76876876877,48788.78878878879,48808.80880880881,48828.82882882883,48848.84884884885,48868.86886886887,48888.88888888889,48908.90890890891,48928.92892892893,48948.94894894895,48968.96896896897,48988.98898898899,49009.00900900901,49029.02902902903,49049.04904904905,49069.06906906907,49089.08908908909,49109.10910910911,49129.12912912913,49149.14914914915,49169.16916916917,49189.18918918919,49209.209209209206,49229.229229229226,49249.249249249246,49269.26926926927,49289.28928928929,49309.30930930931,49329.32932932933,49349.34934934935,49369.36936936937,49389.38938938939,49409.40940940941,49429.42942942943,49449.44944944945,49469.46946946947,49489.48948948949,49509.50950950951,49529.52952952953,49549.54954954955,49569.56956956957,49589.58958958959,49609.60960960961,49629.62962962963,49649.64964964965,49669.66966966967,49689.68968968969,49709.70970970971,49729.72972972973,49749.749749749746,49769.76976976977,49789.78978978979,49809.80980980981,49829.82982982983,49849.84984984985,49869.86986986987,49889.88988988989,49909.90990990991,49929.92992992993,49949.94994994995,49969.96996996997,49989.98998998999,50010.01001001001,50030.03003003003,50050.05005005005,50070.07007007007,50090.09009009009,50110.11011011011,50130.13013013013,50150.15015015015,50170.17017017017,50190.19019019019,50210.21021021021,50230.23023023023,50250.250250250254,50270.27027027027,50290.29029029029,50310.31031031031,50330.33033033033,50350.35035035035,50370.37037037037,50390.39039039039,50410.41041041041,50430.43043043043,50450.45045045045,50470.47047047047,50490.49049049049,50510.51051051051,50530.53053053053,50550.55055055055,50570.57057057057,50590.59059059059,50610.61061061061,50630.63063063063,50650.65065065065,50670.67067067067,50690.69069069069,50710.71071071071,50730.73073073073,50750.750750750754,50770.770770770774,50790.790790790794,50810.81081081081,50830.83083083083,50850.85085085085,50870.87087087087,50890.89089089089,50910.91091091091,50930.93093093093,50950.95095095095,50970.97097097097,50990.99099099099,51011.01101101101,51031.03103103103,51051.05105105105,51071.07107107107,51091.09109109109,51111.11111111111,51131.13113113113,51151.15115115115,51171.17117117117,51191.19119119119,51211.21121121121,51231.23123123123,51251.251251251255,51271.271271271275,51291.291291291294,51311.311311311314,51331.331331331334,51351.35135135135,51371.37137137137,51391.39139139139,51411.41141141141,51431.43143143143,51451.45145145145,51471.47147147147,51491.49149149149,51511.51151151151,51531.53153153153,51551.55155155155,51571.57157157157,51591.59159159159,51611.61161161161,51631.63163163163,51651.65165165165,51671.67167167167,51691.69169169169,51711.71171171171,51731.73173173173,51751.751751751755,51771.771771771775,51791.791791791795,51811.811811811815,51831.831831831834,51851.851851851854,51871.871871871874,51891.89189189189,51911.91191191191,51931.93193193193,51951.95195195195,51971.97197197197,51991.99199199199,52012.01201201201,52032.03203203203,52052.05205205205,52072.07207207207,52092.09209209209,52112.11211211211,52132.13213213213,52152.15215215215,52172.17217217217,52192.19219219219,52212.21221221221,52232.23223223223,52252.252252252256,52272.272272272276,52292.292292292295,52312.312312312315,52332.332332332335,52352.352352352355,52372.372372372374,52392.392392392394,52412.412412412414,52432.43243243243,52452.45245245245,52472.47247247247,52492.49249249249,52512.51251251251,52532.53253253253,52552.55255255255,52572.57257257257,52592.59259259259,52612.61261261261,52632.63263263263,52652.65265265265,52672.67267267267,52692.69269269269,52712.71271271271,52732.73273273273,52752.752752752756,52772.772772772776,52792.792792792796,52812.812812812816,52832.832832832835,52852.852852852855,52872.872872872875,52892.892892892894,52912.912912912914,52932.932932932934,52952.95295295295,52972.97297297297,52992.99299299299,53013.01301301301,53033.03303303303,53053.05305305305,53073.07307307307,53093.09309309309,53113.11311311311,53133.13313313313,53153.15315315315,53173.17317317317,53193.19319319319,53213.21321321321,53233.23323323323,53253.25325325326,53273.27327327328,53293.293293293296,53313.313313313316,53333.333333333336,53353.353353353355,53373.373373373375,53393.393393393395,53413.413413413415,53433.433433433434,53453.453453453454,53473.473473473474,53493.49349349349,53513.51351351351,53533.53353353353,53553.55355355355,53573.57357357357,53593.59359359359,53613.61361361361,53633.63363363363,53653.65365365365,53673.67367367367,53693.69369369369,53713.71371371371,53733.73373373373,53753.75375375376,53773.77377377378,53793.7937937938,53813.81381381382,53833.833833833836,53853.853853853856,53873.873873873876,53893.893893893895,53913.913913913915,53933.933933933935,53953.953953953955,53973.973973973974,53993.993993993994,54014.014014014014,54034.03403403403,54054.05405405405,54074.07407407407,54094.09409409409,54114.11411411411,54134.13413413413,54154.15415415415,54174.17417417417,54194.19419419419,54214.21421421421,54234.23423423423,54254.25425425426,54274.27427427428,54294.2942942943,54314.31431431432,54334.33433433434,54354.35435435436,54374.374374374376,54394.394394394396,54414.414414414416,54434.434434434435,54454.454454454455,54474.474474474475,54494.494494494495,54514.514514514514,54534.534534534534,54554.554554554554,54574.57457457457,54594.59459459459,54614.61461461461,54634.63463463463,54654.65465465465,54674.67467467467,54694.69469469469,54714.71471471471,54734.73473473473,54754.75475475476,54774.77477477478,54794.7947947948,54814.81481481482,54834.83483483484,54854.85485485486,54874.87487487488,54894.8948948949,54914.914914914916,54934.934934934936,54954.954954954956,54974.974974974975,54994.994994994995,55015.015015015015,55035.035035035035,55055.055055055054,55075.075075075074,55095.095095095094,55115.11511511511,55135.13513513513,55155.15515515515,55175.17517517517,55195.19519519519,55215.21521521521,55235.23523523523,55255.25525525526,55275.27527527528,55295.2952952953,55315.31531531532,55335.33533533534,55355.35535535536,55375.37537537538,55395.3953953954,55415.41541541542,55435.43543543544,55455.455455455456,55475.475475475476,55495.495495495496,55515.515515515515,55535.535535535535,55555.555555555555,55575.575575575574,55595.595595595594,55615.615615615614,55635.635635635634,55655.65565565565,55675.67567567567,55695.69569569569,55715.71571571571,55735.73573573573,55755.75575575576,55775.77577577578,55795.7957957958,55815.81581581582,55835.83583583584,55855.85585585586,55875.87587587588,55895.8958958959,55915.91591591592,55935.93593593594,55955.95595595596,55975.975975975976,55995.995995995996,56016.016016016016,56036.036036036036,56056.056056056055,56076.076076076075,56096.096096096095,56116.116116116114,56136.136136136134,56156.156156156154,56176.17617617617,56196.19619619619,56216.21621621621,56236.23623623623,56256.25625625626,56276.27627627628,56296.2962962963,56316.31631631632,56336.33633633634,56356.35635635636,56376.37637637638,56396.3963963964,56416.41641641642,56436.43643643644,56456.45645645646,56476.47647647648,56496.4964964965,56516.516516516516,56536.536536536536,56556.556556556556,56576.576576576575,56596.596596596595,56616.616616616615,56636.636636636635,56656.656656656654,56676.676676676674,56696.696696696694,56716.71671671671,56736.73673673673,56756.75675675676,56776.77677677678,56796.7967967968,56816.81681681682,56836.83683683684,56856.85685685686,56876.87687687688,56896.8968968969,56916.91691691692,56936.93693693694,56956.95695695696,56976.97697697698,56996.996996997,57017.01701701702,57037.03703703704,57057.057057057056,57077.077077077076,57097.097097097096,57117.117117117115,57137.137137137135,57157.157157157155,57177.177177177175,57197.197197197194,57217.217217217214,57237.237237237234,57257.25725725726,57277.27727727728,57297.2972972973,57317.31731731732,57337.33733733734,57357.35735735736,57377.37737737738,57397.3973973974,57417.41741741742,57437.43743743744,57457.45745745746,57477.47747747748,57497.4974974975,57517.51751751752,57537.53753753754,57557.55755755756,57577.57757757758,57597.597597597596,57617.617617617616,57637.637637637636,57657.657657657655,57677.677677677675,57697.697697697695,57717.717717717715,57737.737737737734,57757.75775775776,57777.77777777778,57797.7977977978,57817.81781781782,57837.83783783784,57857.85785785786,57877.87787787788,57897.8978978979,57917.91791791792,57937.93793793794,57957.95795795796,57977.97797797798,57997.997997998,58018.01801801802,58038.03803803804,58058.05805805806,58078.07807807808,58098.0980980981,58118.11811811812,58138.138138138136,58158.158158158156,58178.178178178176,58198.198198198195,58218.218218218215,58238.238238238235,58258.25825825826,58278.27827827828,58298.2982982983,58318.31831831832,58338.33833833834,58358.35835835836,58378.37837837838,58398.3983983984,58418.41841841842,58438.43843843844,58458.45845845846,58478.47847847848,58498.4984984985,58518.51851851852,58538.53853853854,58558.55855855856,58578.57857857858,58598.5985985986,58618.61861861862,58638.63863863864,58658.658658658656,58678.678678678676,58698.698698698696,58718.718718718716,58738.738738738735,58758.75875875876,58778.77877877878,58798.7987987988,58818.81881881882,58838.83883883884,58858.85885885886,58878.87887887888,58898.8988988989,58918.91891891892,58938.93893893894,58958.95895895896,58978.97897897898,58998.998998999,59019.01901901902,59039.03903903904,59059.05905905906,59079.07907907908,59099.0990990991,59119.11911911912,59139.13913913914,59159.15915915916,59179.17917917918,59199.199199199196,59219.219219219216,59239.239239239236,59259.25925925926,59279.27927927928,59299.2992992993,59319.31931931932,59339.33933933934,59359.35935935936,59379.37937937938,59399.3993993994,59419.41941941942,59439.43943943944,59459.45945945946,59479.47947947948,59499.4994994995,59519.51951951952,59539.53953953954,59559.55955955956,59579.57957957958,59599.5995995996,59619.61961961962,59639.63963963964,59659.65965965966,59679.67967967968,59699.6996996997,59719.71971971972,59739.739739739736,59759.75975975976,59779.77977977978,59799.7997997998,59819.81981981982,59839.83983983984,59859.85985985986,59879.87987987988,59899.8998998999,59919.91991991992,59939.93993993994,59959.95995995996,59979.97997997998,60000.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/medium.json new file mode 100644 index 000000000000..3ac918e7fa14 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/medium.json @@ -0,0 +1 @@ +{"C":[0.4999998986788179,0.4976812961506306,0.5004275821693361,0.5013361347905305,0.4990574391560986,0.49964585451277155,0.5009721961959278,0.49936711809322804,0.4999289543984067,0.5005685167813786,0.4993214626315927,0.5005069224601237,0.4997676708041729,0.49998122625160246,0.5001952204943411,0.49970387525894455,0.500340599308916,0.49965153269347706,0.5003321122906097,0.49970496738970055,0.5002337405391531,0.49985801262127255,0.500017814634699,0.5001265518876318,0.4997445379803783,0.5003109606965558,0.49976215800197954,0.5000358835528512,0.5001921971525788,0.49973098604803057,0.5000950893717319,0.5001785745651587,0.4997742379493461,0.4999573335848714,0.5002349384600715,0.4999850167834194,0.4997775232948492,0.49999064251380687,0.5002063221766023,0.5000997796971824,0.4998691099174272,0.4998090557870596,0.4999461366482786,0.5001159678147515,0.5001844040463557,0.5001362864886584,0.5000304696931632,0.49992923238582504,0.49986414277798524,0.49983753399670017,0.4998371952066094,0.4998487135291674,0.49986129586088934,0.499868883774003,0.4998694027944292,0.49986399982341256,0.49985692833128165,0.49985578555606835,0.49987095823192534,0.49991245536902895,0.4999826323060248,0.5000662775605318,0.5001259645977664,0.5001163663975099,0.5000241320297482,0.4999084223222534,0.499880428902191,0.49998819358896746,0.5001117458071146,0.5000719824601895,0.4999158916219972,0.4999131930410557,0.5000803497703713,0.50007148103979,0.4998996300428949,0.4999813383795395,0.5001069964716345,0.4999309408431397,0.4999667747392611,0.500099715510383,0.4999083917318008,0.5000332085625757,0.5000328380697937,0.4999213618637716,0.5000976212679727,0.4999036136053946,0.5000851258865349,0.4999277870173739,0.5000627574989199,0.4999408690810491,0.5000618293241991,0.49993013242064294,0.5000805257700132,0.499911260243961,0.5000869634912843,0.49993308370743095,0.5000246202734254,0.5000318454460106,0.4999226306643457,0.5000782602951661,0.4999793078957458,0.49994237682463927,0.5000787647179137,0.499993199722455,0.49992481767682817,0.5000439218524668,0.5000608263352613,0.49994781319888815,0.4999387721181395,0.5000383270826532,0.5000734533495036,0.5000029412018551,0.49993228852748905,0.4999394191997098,0.5000025915051012,0.5000587822025029,0.5000716322520272,0.5000454491137879,0.5000036060839174,0.4999664201072438,0.49994283188984595,0.4999324933207942,0.49993086462787584,0.49993304178068015,0.49993548011331623,0.4999363485178441,0.4999354044633502,0.4999339059071926,0.49993463493827045,0.49994169554617085,0.4999593953921716,0.4999894926342297,0.5000270127851532,0.5000572791615651,0.500059750338448,0.5000232863348861,0.4999664453350648,0.4999383085895503,0.4999757971030385,0.500044036229399,0.5000518139576007,0.49997882058843063,0.49994253194153826,0.5000154587647849,0.5000552680532564,0.49997100798059724,0.4999587327411801,0.5000520238412443,0.5000004932550265,0.49995051599428486,0.5000509894446833,0.49998586156447217,0.4999718729257874,0.5000521023979555,0.4999468286376013,0.500038843491421,0.4999809520187276,0.5000007722928297,0.5000128383843223,0.49997876535527863,0.5000249210697586,0.4999756030094486,0.5000196920315949,0.49998957482573286,0.49999637307149186,0.5000214356157866,0.49996067392926224,0.5000501937426398,0.49995486415184764,0.500019244147867,0.5000197381769711,0.4999522406088293,0.5000378115487564,0.5000093129347903,0.49995246064675436,0.5000257902822025,0.5000334917234446,0.49996069565109263,0.4999753169735936,0.5000401222718699,0.5000293838592217,0.49996965253355835,0.4999573397104137,0.5000021729234457,0.5000423089681884,0.5000376678786862,0.5000011898709081,0.4999667277961806,0.49995477540902933,0.49996502813817395,0.49998646601897434,0.5000083238004517,0.5000248418230936,0.5000349210279064,0.5000399519759515,0.5000419114746557,0.5000423047490808,0.5000417573916996,0.5000399313080839,0.5000356062350162,0.500027008390958,0.5000126531682073,0.4999929267281793,0.49997207718081654,0.49995905662449763,0.4999644270106335,0.4999915942701097,0.500026717293909,0.5000405552769471,0.5000138521797719,0.49997011073378295,0.49996500902452595,0.5000119666622549,0.5000394000828237,0.4999949212112865,0.49996097110633764,0.5000118503847756,0.5000339551367653,0.4999710505687206,0.4999870222480169,0.5000383258318444,0.4999746761705387,0.4999926030343041,0.5000324918118106,0.49996257210565265,0.5000256458836382,0.4999930617648778,0.49998941565184934,0.5000231749848374,0.49996943165975405,0.5000341334669735,0.49996454532537105,0.5000356034683311,0.49996512006080496,0.5000327791880294,0.4999718942950806,0.5000193568136952,0.4999943847794864,0.49998805353630216,0.500028486315503,0.4999644753097404,0.5000249949539578,0.500002261304886,0.49997045170364673,0.5000314188410723,0.4999998416165165,0.49996773261647515,0.5000211187844588,0.5000226384604437,0.499971941760843,0.4999809378585183,0.5000268214474914,0.5000247293109005,0.49998362016954656,0.49996690925294696,0.49999182479945603,0.5000242662969303,0.500032421612259,0.5000148737196964,0.4999892635707911,0.49997165267809246,0.49996743576292774,0.4999736284153723,0.49998453125725567,0.4999955413751913,0.5000042450019795,0.5000099339172963,0.5000127241635087,0.500012870295644,0.500010421457497,0.5000052019558029,0.4999971051791601,0.49998670740252255,0.49997608372748886,0.4999693302860848,0.4999717632060062,0.49998669790899064,0.5000103002556083,0.5000287848239018,0.5000252103491236,0.4999975211070236,0.499971470942471,0.4999805080097308,0.5000173833063011,0.5000271749734174,0.4999894114450174,0.49997211036878264,0.5000132211989505,0.5000237682421543,0.4999766363906601,0.49999122712176997,0.5000290663386943,0.4999816814775485,0.4999921285304613,0.5000263508499788,0.49997266530894663,0.5000150259117343,0.5000014522782538,0.4999847562555485,0.5000237772037442,0.49997242557369115,0.5000283982307803,0.4999720093889728,0.5000275362392695,0.4999724486913774,0.5000279012145233,0.4999721941499594,0.5000258681172045,0.49997967109610114,0.5000098553835826,0.5000049743467816,0.49997999581885666,0.5000273902405782,0.4999804771056566,0.4999972478588745,0.5000240254808928,0.499977495189865,0.4999951919637458,0.5000266211363805,0.4999901470337724,0.4999768343335983,0.5000146029928103,0.5000226454101199,0.49998891300248804,0.4999742715597393,0.49999821544297435,0.500023630643178,0.5000208045572532,0.49999756283977587,0.49997786109849607,0.49997512239707587,0.4999867894635262,0.5000032074964396,0.5000165146623006,0.5000237188902803,0.5000255387757123,0.5000241746110713,0.5000217609614568,0.5000197663600665,0.5000189681178203,0.5000195977353367,0.5000214198057845,0.5000236728564968,0.5000249420747491,0.5000231902956721,0.5000163268676203,0.5000036586147487,0.4999879717689983,0.4999766205712203,0.4999786972075901,0.4999968112025598,0.5000187773881808,0.5000223417938978,0.49999950236934565,0.4999767403671977,0.49998873568259783,0.5000197432126848,0.5000143369477951,0.49998008307928354,0.4999897582818786,0.5000232395930272,0.4999975192966295,0.49997937276630855,0.5000199133720206,0.49999960701724583,0.4999818622029464,0.5000232076434262,0.49998461462805327,0.5000019357754414,0.5000104174441263,0.4999814972257626,0.5000222358020547,0.4999769839980185,0.5000224483222115,0.49997826666186923,0.5000215185282091,0.49997807778990594,0.5000225521383529,0.49997751510784805,0.5000203136126541,0.49998549951663374,0.5000042999679054,0.5000087704442792,0.4999802330002378,0.5000214118598567,0.49999075087825756,0.49998902453018235,0.5000221281129003,0.4999900422965659,0.49998511929115086,0.5000195892763942,0.5000061457830022,0.4999785308002333,0.4999961314645715,0.5000210254918428,0.5000089279347391,0.49998316730964937,0.49998159102521067,0.5000025367449948,0.5000197715042592,0.500018105133472,0.5000027900953347,0.4999869786976515,0.49997922177604137,0.4999804605425091,0.49998724550922485,0.4999955875114785,0.5000028939076343,0.5000081490505208,0.5000113254830898,0.5000127450827921,0.5000126607413867,0.5000110731672629,0.5000077405959634,0.5000023801971732,0.4999950964136457,0.49998700357173936,0.4999807465656944,0.499980196645194,0.49998841278968403,0.5000039026784229,0.5000179065511068,0.5000180601668995,0.5000007540649554,0.499981901402666,0.4999855646117456,0.5000100769343019,0.5000187556541843,0.4999942412796827,0.49998095601309744,0.5000079555951319,0.5000163918979911,0.499984692417345,0.4999937288859943,0.500019576267563,0.4999876712777117,0.4999948747263627,0.5000176173949451,0.49998135315452097,0.500010805071955,0.5000000302960111,0.499990654278512,0.5000153549966377,0.4999817123049794,0.5000192174566003,0.4999807602633823,0.5000191027211346,0.4999808879842152,0.5000191271095328,0.4999814321349314,0.5000164680656268,0.49998827830594783,0.5000037126789336,0.500006638344755,0.4999840915453075,0.5000185970339266,0.4999895468061524,0.4999941397586788,0.5000181015426677,0.49998732374255095,0.4999923113174717,0.5000184810528546,0.49999795081919873,0.4999820399216174,0.5000053668696255,0.500017846112174,0.49999767139536766,0.49998170984693424,0.49999298836729333,0.5000129427520991,0.5000173941696959,0.5000046946695526,0.4999889395048755,0.49998194065739227,0.49998560056723973,0.4999952017459972,0.5000052297296131,0.5000125169123619,0.5000164327097776,0.5000177900137844,0.5000177821177292,0.5000173938808103,0.5000172066310664,0.5000173837589649,0.5000176832828992,0.5000174520137837,0.5000156668639629,0.5000111895774781,0.5000034324902974,0.4999934405482387,0.4999848064670412,0.49998301386482263,0.49999177583132903,0.5000074168470151,0.5000172578764936,0.5000094130090893,0.49998993393675006,0.4999836923642851,0.5000023067710342,0.5000171870291897,0.5000000137190098,0.49998291134447714,0.500003660420692,0.5000153119170176,0.4999879767815296,0.4999938513855423,0.5000168035064484,0.499988768731435,0.4999972254486332,0.5000138838970948,0.49998328281219806,0.5000124099647106,0.4999951641230197,0.4999973628182737,0.5000083156353505,0.49998808728892663,0.500013845899394,0.4999853376940773,0.5000147213587698,0.4999859297566884,0.5000124346311313,0.4999906870028026,0.5000042352127445,0.5000027397983452,0.49998965117713406,0.5000156968539373,0.49998503692392215,0.5000060530347304,0.5000076085802473,0.4999839102527414,0.5000098546810381,0.5000074279071985,0.499983998702817,0.5000021879501798,0.5000152977803213,0.4999937768143769,0.49998523797091204,0.5000048561496837,0.5000158127553436,0.5000021067479172,0.49998594270878205,0.49998732207152535,0.5000018376158412,0.5000138692261478,0.5000147303986471,0.5000065099541778,0.4999958936897433,0.49998803954309584,0.4999846181603652,0.4999848044810711,0.4999869123265223,0.4999894495719818,0.49999146198508765,0.4999924713273061,0.49999230816470497,0.49999100706102306,0.499988823623688,0.4999863623220336,0.4999847270869546,0.4999854901736224,0.4999901645622323,0.4999989608735803,0.5000092274007751,0.5000151414358576,0.5000108728711093,0.49999720934911196,0.49998559248230334,0.49998988086976864,0.5000074079269837,0.5000145247616223,0.49999814952283433,0.49998499357556825,0.5000012870628772,0.5000146857124722,0.49999417141563796,0.4999884804452402,0.5000130492915635,0.500000582766218,0.49998706505208595,0.5000135623203382,0.4999954447960466,0.4999936908000274,0.500013193994895,0.49998537039453844,0.5000120948841474,0.49999215455641277,0.5000036214158833,0.49999965674930913,0.49999832625925295,0.5000023984045735,0.4999981460181143,0.5000000329255807,0.500003039814151,0.49999289974048367,0.5000113392858829,0.499985833942593,0.5000134127663981,0.49999255513099705,0.4999971895851366,0.5000122596555235,0.49998666953693566,0.5000027487131801,0.5000111664591216,0.4999875676352054,0.49999707402030763,0.500014192533611,0.49999812240009833,0.4999860602189357,0.5000017092131186,0.5000140981575888,0.500003374091356,0.4999880601861166,0.4999885283850547,0.5000017341963819,0.500012573133758,0.5000125602973627,0.5000041361752965,0.49999421967899743,0.4999878116848991,0.49998614600207403,0.4999879687408492,0.4999913619628836,0.499994816335093,0.4999974910647714,0.4999990493856999,0.4999994069981329,0.49999856001348014,0.4999965437748543,0.4999935282288099,0.4999900284153347,0.49998714027923286,0.4999865709356875,0.4999900862173067,0.4999981061803442,0.5000079316100434,0.5000134682489178,0.500008915864705,0.4999959093592181,0.49998667982272177,0.4999934299999837,0.5000094618442685,0.5000111123463922,0.499993689625202,0.49998813629890876,0.5000069901779447,0.5000100652071552,0.49998907816151017,0.49999647438265116,0.5000130915424679,0.49999176970527126,0.4999961229984278,0.5000121930304985,0.4999878708851592,0.5000058957222939,0.5000019933933494,0.4999917383222546,0.500011801727224,0.49998698446994155,0.5000128647999617,0.49998774679874325,0.5000117892767791,0.4999882368012834,0.5000121777570852,0.4999872487728218,0.5000128910730998,0.49998828248612265,0.5000082907912506,0.49999779616646184,0.4999944975866461,0.5000116898078013,0.49998801587993125,0.5000041417491977,0.500007597842328,0.4999873264681656,0.5000038822711126,0.5000101272181534,0.49999001622674577,0.49999389494039237,0.5000115451826118,0.500005336505087,0.49998912568542503,0.4999916752500272,0.5000068564808264,0.5000122939935954,0.5000029536553376,0.4999910466654823,0.49998765413424273,0.49999351055224944,0.5000027613037598,0.5000097953365037,0.500012416741988,0.5000113004181742,0.5000082219963615,0.5000047702688658,0.500001899783982,0.5000000138132848,0.4999992119001291,0.49999949542789984,0.5000008602369421,0.5000032640540962,0.5000064735444341,0.5000098272349358,0.5000120462250013,0.5000113825682231,0.500006477427413,0.4999979736794253,0.4999898825794254,0.4999884377655315,0.4999967938564134,0.5000087853302094,0.500011116345617,0.49999891680374475,0.49998804822806386,0.4999966737328326,0.5000113755327353,0.5000035199089494,0.4999881806427886,0.5000004422998976,0.5000112986696696,0.4999920939743498,0.4999956505843487,0.5000117039157401,0.49999113291894115,0.5000001013504204,0.5000079642413604,0.49998833699824746,0.5000109509999634,0.49999237346977693,0.5000035893857725,0.4999999459004692,0.4999975247405883,0.5000039242552209,0.49999563565329536,0.5000038379372448,0.49999769491943696,0.4999997065511898,0.5000038533497008,0.4999921764898901,0.5000109457298324,0.4999886693155809,0.500007310286184,0.500000811882233,0.49999086342911797,0.5000111625478998,0.49999668607921055,0.4999916311335587,0.5000104633998742,0.5000015993925611,0.4999885347621422,0.5000020657291813,0.5000112085913175,0.4999982928871847,0.49998857160880394,0.49999736099300973,0.5000096765974239,0.5000093781229039,0.49999882813760155,0.49998995094279103,0.49998960838937795,0.4999960997510178,0.5000040685202343,0.5000095018256402,0.5000112747772572,0.5000102455402388,0.5000078662263867,0.5000053310348259,0.5000033416191052,0.5000022081910068,0.500002028351189,0.500002809465129,0.5000044890508427,0.5000068490820541,0.5000093520873619,0.5000109943697815,0.5000103862505261,0.5000063496594849,0.4999991384121451,0.49999166550133717,0.4999890694441421,0.49999496690848555,0.500005905376699,0.5000109237743967,0.5000025453866697,0.49999037378613237,0.4999930960789379,0.5000078378702313,0.5000076666916469,0.4999915962015978,0.4999945722759269,0.5000105257554576,0.4999990540904988,0.4999905851880909,0.5000093963721421,0.49999905133484956,0.4999923595938676,0.5000108122839179,0.49999167879319,0.5000029022729688,0.5000026323832271,0.49999324974787335,0.500009165452371,0.49998972759316185,0.5000106332696949,0.4999893065325202,0.5000106756959554,0.4999894431524681,0.5000100712574411,0.49999125386118204,0.500006034892565,0.4999983587291791,0.49999605424506544,0.5000089473704896,0.49998952589607404,0.5000061860452268,0.5000027443356418,0.4999900286691508,0.5000078397557741,0.5000032335393795,0.49998949250198993,0.5000027199434101,0.5000095835720787,0.49999512000105006,0.49999064852613573,0.5000036379824042,0.5000103010450209,0.5000013005976828,0.49999085370257007,0.49999149740859833,0.500000671971183,0.5000087228448301,0.5000099680540186,0.5000052909547336,0.4999986202528626,0.499993219908219,0.4999903493753544,0.4999897156499619,0.49999040009960627,0.4999915097542325,0.49999242997792065,0.4999928317158336,0.4999926042568669,0.4999918156262113,0.49999073510450187,0.49998989713027847,0.4999901234671715,0.49999235002642434,0.49999708987174735,0.5000035567539254,0.500009009620134,0.5000095202914522,0.50000309224696,0.4999935727798938,0.4999901238299443,0.49999811767726055,0.5000088611540929,0.5000065809701844,0.49999332804167107,0.49999222146905703,0.5000066721189853,0.5000065186771407,0.49999117084395645,0.49999821732666305,0.5000097399792383,0.49999356582441246,0.49999709686949206,0.5000092866900077,0.4999910928464476,0.5000036686286914,0.5000026173190963,0.49999272685175483,0.5000095128897876,0.4999901855375951,0.50000907285386,0.4999919214865871,0.5000073463909827,0.49999286607131954,0.5000075003589572,0.4999916719389465,0.5000092875901458,0.4999902177266051,0.5000089718099872,0.4999939658111044,0.50000079458095,0.500005428180674,0.4999905046051874,0.5000078507127516,0.4999999606234844,0.4999917363995443,0.5000081920622306,0.500001846932277,0.49999037751763664,0.500002709326449,0.5000089126753546,0.4999961664510865,0.4999909319259659,0.5000017444040638,0.5000095783337778,0.5000036986857679,0.49999344854197697,0.4999907185979288,0.49999669777871425,0.5000048480677393,0.5000092598530788,0.5000084921938597,0.500004387012932,0.49999948144215156,0.49999544463793244,0.49999282332709,0.49999143975510074,0.49999085744527516,0.4999906794847676,0.4999906801302292,0.4999908435786988,0.49999136471047223,0.49999261595959377,0.4999950327679043,0.4999988447090716,0.500003635182384,0.5000079201807879,0.5000092739490304,0.5000056689479336,0.49999794766111044,0.4999913660744661,0.4999926454148657,0.5000020973689344,0.5000092320264692,0.5000034135255346,0.4999920730018114,0.4999945532384422,0.5000075219932554,0.5000046618761252,0.499991311542691,0.4999992929504053,0.5000088560711186,0.49999388179617843,0.4999971906202621,0.5000087469439989,0.4999921753653917,0.500002245517886,0.5000038841074234,0.49999213117034585,0.5000091365300482,0.4999915751098908,0.5000068013308179,0.49999488584444846,0.5000038625567533,0.4999967245973553,0.5000034255749118,0.4999957071222598,0.5000057477397116,0.49999253707343055,0.5000088019178123,0.49999119570910583,0.5000064664109768,0.4999985194492969,0.49999524063787376,0.500008809517638,0.49999308787845903,0.4999990308340451,0.5000082981893159,0.49999358307028896,0.4999960986937576,0.5000087297682602,0.5000006439202838,0.49999107879623267,0.4999995985258672,0.5000087851002075,0.5000032142630099,0.4999930024588007,0.4999923173478486,0.500000482487186,0.5000077580589092,0.5000080758962733,0.5000027209966452,0.499996270815371,0.4999921504474867,0.49999123044413585,0.4999926557778861,0.49999510966791133,0.4999975678565539,0.49999947983922977,0.5000006477435729,0.5000010419726791,0.5000006695589083,0.49999952820982224,0.49999764943082464,0.4999952263774694,0.49999279430803245,0.4999913514542261,0.4999921889555525,0.4999961647587726,0.5000024739648112,0.5000078168069023,0.5000077052965705,0.5000007454127071,0.49999267116105706,0.4999930058729309,0.5000027955943117,0.5000085559826488,0.499999999999998],"S":[0.49681690114783755,0.5001715827562954,0.5017807542392415,0.4992952185110351,0.49912590847650146,0.501061210343519,0.49981153698406805,0.49937666637818684,0.5008022202334148,0.49953165963821466,0.4999889004871724,0.5003726014979363,0.4994616326606645,0.5005487127020103,0.49952216409053496,0.5003866630084436,0.4996893358948838,0.5002647123339901,0.49974869135345534,0.5002660806526721,0.49970064468022396,0.5003349276764184,0.4996513956460819,0.5003106975703923,0.4998024709099293,0.5000138321103812,0.5001835405081032,0.49971191200012893,0.500204799833069,0.5000402163073724,0.4997540544201882,0.5001832436405931,0.5001038300272369,0.4997622632175341,0.49999717137795663,0.5002282335591962,0.4999877061872081,0.49978299667319465,0.49995183513754504,0.5001811244686853,0.5001537882847645,0.49995021430086484,0.499814757733014,0.49985114814948006,0.49999039098273723,0.5001187804555324,0.5001744311701039,0.5001584227202684,0.5001023374648248,0.5000377731857476,0.4999835391762845,0.49994613936990306,0.4999250627001728,0.499917667162061,0.4999220473216225,0.49993802039749924,0.49996663012159925,0.5000082683639904,0.500059436072197,0.5001089563617238,0.5001364398569875,0.5001180489391334,0.5000435785187409,0.4999392678343419,0.4998729783547955,0.4999114548247773,0.5000382175574912,0.5001231648557655,0.50004890705648,0.49990363888312545,0.4999163488225797,0.500078466969629,0.500082899507655,0.49991129201044693,0.49994932120574176,0.5001094117404956,0.4999763377921284,0.49991669591389903,0.5001015700388547,0.49996536789895296,0.49995017348691867,0.5000975380884516,0.49990362068616007,0.5000627921077401,0.49998090391150657,0.4999805089598641,0.5000469790385327,0.4999365244145913,0.5000714329926729,0.4999268657674578,0.5000695157018475,0.49994008272966267,0.500042534778918,0.49998430093891616,0.49998021429535766,0.5000575704305221,0.49991616142615053,0.5000804273208334,0.4999632738395629,0.4999673407049078,0.5000813866708297,0.49994003180393676,0.4999758907778985,0.5000813088295643,0.4999703217740982,0.49993304253652243,0.5000509426841289,0.5000587988391452,0.49995182574071545,0.4999329741374012,0.5000214644447767,0.5000757952371352,0.5000326932266026,0.49995656778298764,0.4999261429384296,0.4999562526481894,0.5000121622618442,0.5000559074967319,0.5000713625256824,0.5000624055376783,0.5000408943554594,0.5000174309796857,0.49999809035483245,0.4999850285442483,0.4999783039041071,0.4999774224519996,0.499982165422459,0.49999270262582646,0.5000090383494531,0.5000298161920599,0.5000507473688462,0.5000636449451226,0.5000580503571779,0.5000275397626194,0.49997974264710987,0.49994185698410315,0.49994764935708824,0.5000023500517348,0.5000563168878255,0.5000420159555895,0.49996888555475416,0.4999438433570919,0.5000158096796471,0.5000571397930953,0.4999799558588061,0.499949313240107,0.5000407553114827,0.5000247530204094,0.4999427719700703,0.5000279926381342,0.5000242927503915,0.499945697207885,0.5000481350532768,0.49998119409553393,0.4999857840315325,0.5000384990454844,0.49994910211104804,0.5000539995849173,0.499947889113309,0.5000489279540159,0.4999532139542176,0.5000466964292702,0.4999514779342699,0.5000509949657614,0.49994838980723805,0.5000467488472266,0.4999673329142413,0.500007972171503,0.5000227057182439,0.49995360161707947,0.5000458739332991,0.4999864197989855,0.49996825844606335,0.500048195912553,0.4999889368987281,0.4999588842241331,0.5000347514183522,0.5000275440255967,0.4999591486848999,0.49997463703155604,0.5000369468572211,0.5000358234259507,0.4999810109693509,0.4999536066545125,0.499981453541813,0.5000263148993505,0.5000456903696661,0.5000309842020039,0.4999995805191048,0.49997169584487616,0.49995733813336524,0.4999562588442842,0.49996332376708663,0.4999731153856603,0.49998193337318453,0.4999878924604748,0.49999028581449173,0.49998897472404497,0.49998411960346856,0.4999763224296953,0.4999671216983425,0.49995959452765687,0.4999584644506825,0.49996872170794293,0.49999195717598705,0.5000214216143506,0.5000404621152487,0.5000312694172173,0.4999944464664395,0.4999616868461274,0.4999725984849655,0.5000201119755565,0.5000383473803351,0.49999318613533184,0.49996052494401283,0.5000068044727661,0.5000376138766457,0.49998029824742296,0.4999737491450374,0.5000366743726848,0.499994432081907,0.4999709277513158,0.5000376639879099,0.49997988663563053,0.49999317620725475,0.5000278749925527,0.4999629315685566,0.50003602531872,0.4999706644122616,0.5000212413600285,0.49998555554577345,0.5000102455407519,0.49999089961791865,0.5000110625355267,0.4999840869478691,0.5000229482563691,0.49996949001135876,0.5000355407503912,0.4999662180102091,0.5000214911332347,0.5000009296685488,0.4999749445069337,0.5000351737976916,0.49998104963610734,0.49998466684757337,0.5000348191839482,0.49998729225861793,0.49997266770392707,0.5000259048086755,0.500019669995924,0.4999716886241172,0.49997911114262195,0.5000231330605148,0.5000294860544922,0.49999417916975364,0.4999675453880718,0.4999771386810405,0.5000071964646866,0.5000295512706736,0.5000311590425736,0.5000165630023992,0.4999969479934403,0.49998086321149954,0.49997146197399733,0.4999679697810643,0.4999680626274925,0.49996947752402976,0.49997066105012167,0.49997085395007806,0.49997001547910225,0.499968803183538,0.49996862125163766,0.49997155538093074,0.4999798341016909,0.49999443587516984,0.5000129340531152,0.5000279419239546,0.500029064857187,0.5000107486033477,0.4999826262807888,0.4999695920561907,0.49998949615095234,0.5000231909290703,0.5000246812556152,0.499987095800503,0.4999719536110333,0.5000107084513827,0.5000266749252038,0.4999822423244569,0.4999818787067197,0.5000281302843661,0.49999581409139227,0.4999771753821969,0.5000280853724985,0.4999877257994052,0.49999039944449647,0.5000246569971012,0.4999712583575413,0.5000242965078374,0.49998412889029314,0.5000071769022999,0.4999997551873545,0.499995785722573,0.5000061446513434,0.49999436577567863,0.5000026850766525,0.5000027276763385,0.4999896843187637,0.5000189030209296,0.4999741441765105,0.5000271296702743,0.49998113857130216,0.5000009482534034,0.5000191109987099,0.49997290583943876,0.5000126405139418,0.5000150307073262,0.4999734538701747,0.5000038206834556,0.500024934154826,0.49998666969289063,0.49997771343201786,0.500013883727402,0.5000240483907792,0.4999940832641743,0.4999737411210544,0.4999885939604423,0.5000158589197046,0.5000259665719619,0.5000136373252123,0.49999270929842227,0.4999777849270039,0.4999744313866848,0.4999803185927333,0.4999903257510866,0.5000002597990639,0.5000080024227436,0.5000130804851015,0.500015816162745,0.5000166530803619,0.5000157902081183,0.5000130733891791,0.5000081036482358,0.5000005911305658,0.49999099548763193,0.49998132515411564,0.4999755376418006,0.4999784681576981,0.49999236869137154,0.500012148707325,0.5000242451291756,0.5000155572464245,0.49999040237056247,0.4999757574170533,0.49999339333323267,0.5000213192257493,0.5000137245297815,0.49998078024494663,0.49998676822467075,0.5000215340135304,0.5000050395278354,0.4999764157590374,0.5000115675336586,0.5000126369989384,0.499976482938772,0.5000148735363049,0.5000029371119084,0.49998246274259567,0.5000231858892368,0.49997926595075626,0.5000138991338269,0.4999938157094454,0.4999996827500269,0.5000048055299828,0.49999279666760527,0.5000076424333594,0.4999938258328946,0.500002715912671,0.5000027744755124,0.49999010356419415,0.5000172526380615,0.49997793682121233,0.5000206332141125,0.49998954471660556,0.49999375526876916,0.5000202325306699,0.49998071535568045,0.5000004260392713,0.5000197021529265,0.4999837700849072,0.49999006824275605,0.500021027638527,0.5000040714799002,0.49997854941569314,0.4999944655915303,0.5000197640794942,0.5000135879029399,0.49998874204305443,0.49997862534829274,0.4999916277478331,0.5000114422220885,0.500021181736501,0.5000168713772729,0.5000044974244062,0.49999175674673507,0.4999831221711007,0.49997936312130364,0.49997914802679627,0.4999806449754558,0.49998237565231896,0.49998343730706213,0.499983436284233,0.4999823948196211,0.4999807500121761,0.49997943911693876,0.49997994205173557,0.4999840179738793,0.49999281543634316,0.5000053042050644,0.5000168538726584,0.5000200276981859,0.5000096815354325,0.49999071247995125,0.49997975342699985,0.4999909993682281,0.5000140812603385,0.5000174132934531,0.49999285079648087,0.4999808204747818,0.5000060405258756,0.500018276407998,0.49998873970742835,0.4999873766501179,0.5000187760277475,0.499997384037065,0.4999846280834814,0.5000189804277627,0.4999913746669507,0.49999405693883525,0.5000162647755086,0.4999805174182887,0.500017044659682,0.49998815139022473,0.5000063276883797,0.4999981307606681,0.49999901323625345,0.5000021388774346,0.49999839432299564,0.49999939128426546,0.5000044532645844,0.4999904192359773,0.5000149663551444,0.4999813984377145,0.5000177244782996,0.49998982263202113,0.4999969583991207,0.5000156296248318,0.49998217654594046,0.50000477761439,0.5000137217839347,0.4999830190621123,0.4999978972049871,0.5000184468030923,0.49999547877598144,0.4999823157053427,0.5000046470356562,0.5000182539497491,0.500001630659731,0.49998307089498967,0.49998708409161496,0.5000055104744799,0.5000175919991102,0.5000144148726378,0.5000016114560194,0.4999890448533328,0.49998259406536966,0.4999827582135352,0.49998709247710355,0.49999279585599987,0.4999979717473087,0.5000017514954579,0.5000039250002302,0.5000045358556563,0.5000036255444645,0.500001160466989,0.49999713890295155,0.4999918741518575,0.4999863984343424,0.4999827615487326,0.49998373148925784,0.4999913051912852,0.5000040834080395,0.5000153731401815,0.5000157396188586,0.5000019217556373,0.4999854496645081,0.499985936280539,0.5000056549888755,0.5000170706735351,0.49999960830841117,0.4999828427112134,0.500001087630554,0.5000166926835152,0.4999924876293009,0.4999879506966074,0.5000158365963574,0.49999773905284545,0.49998734292887076,0.5000166590651886,0.4999904424743737,0.4999981192174014,0.500011309012474,0.49998395565624515,0.5000165155681213,0.49998552632450965,0.5000116468453165,0.4999907921993972,0.5000077747221056,0.49999240696173813,0.5000086804420462,0.4999891530196981,0.5000135833098885,0.4999841170430242,0.5000161762748444,0.49998730909437744,0.5000045552885481,0.5000064991264359,0.4999848841412442,0.5000143610485895,0.49999793658911645,0.49998715337013644,0.500014352539165,0.500002037578028,0.4999840489617906,0.5000049229658732,0.5000147841112541,0.4999938011185984,0.4999847746135644,0.5000020994188407,0.5000157820732257,0.5000074142700401,0.49999046476397324,0.49998427261522044,0.4999924201604411,0.5000056490466639,0.5000143390667885,0.5000151731171194,0.5000101555201214,0.5000029483668748,0.4999963255402339,0.4999915009022193,0.4999885400034119,0.49998700495109466,0.49998642727963694,0.4999865511838147,0.49998741818697745,0.4999893506723201,0.49999282487037716,0.49999816680644993,0.500005024505133,0.5000117561729667,0.5000152653474472,0.5000121711663061,0.5000017874903071,0.49998935015396284,0.49998506562732126,0.49999526337424266,0.5000112609338054,0.5000131729085171,0.49999592128911236,0.4999850538909148,0.5000009097676499,0.5000149525265295,0.49999703644634064,0.499986226740062,0.500009497434502,0.500007200536086,0.4999851330426902,0.5000073000970334,0.5000059924906747,0.49998591658153146,0.5000133617554001,0.49999340342450665,0.49999831816463086,0.5000083563815754,0.49998759719681396,0.5000141962944717,0.4999853779535457,0.5000145050673966,0.49998562202954294,0.5000144334598096,0.49998547250277925,0.5000141809601452,0.4999873817265458,0.5000089639868205,0.4999972510445235,0.49999474294682666,0.5000123053355021,0.4999859194878939,0.5000074280161412,0.5000052050035033,0.4999859800144408,0.5000088741806619,0.500006943054655,0.49998608811760187,0.5000000961233542,0.5000140445919217,0.4999975915996258,0.49998598066856903,0.4999997689167767,0.5000136666940358,0.5000074134068688,0.49999192053883684,0.49998609930878224,0.49999387488138347,0.5000060997461933,0.5000133127869398,0.5000126609417531,0.500006673295527,0.4999992692552694,0.4999931371736485,0.49998920096293703,0.4999872034083124,0.4999864456807848,0.499986270296634,0.4999862721538098,0.4999863569902034,0.49998674622667644,0.49998795301954674,0.4999906731869742,0.49999547664855754,0.5000022152489624,0.5000092941243003,0.5000134349085879,0.5000109815802456,0.5000012396574176,0.49998985773833016,0.499987152623183,0.4999980521053482,0.5000117257045862,0.5000095167649715,0.4999925132149554,0.4999882034393818,0.5000061382678676,0.5000113583352404,0.49999128121826186,0.499992417605055,0.5000127986534806,0.49999792496531886,0.49998963574720795,0.5000126328165745,0.499994958634029,0.49999485815706024,0.5000117586340902,0.4999870182876342,0.5000101842530248,0.499994327980558,0.5000012365918375,0.5000022165451964,0.49999555471929924,0.5000055138057302,0.49999447675731395,0.5000044803503921,0.49999770390492765,0.4999989123906691,0.5000054370580238,0.4999901194216177,0.5000126889603982,0.4999883769275166,0.5000053130720272,0.5000045575622535,0.4999878860094351,0.5000102805719084,0.5000015217176116,0.49998785995005646,0.5000077079978322,0.5000078626396443,0.4999888756917633,0.49999477908128914,0.5000114717162302,0.5000064311146131,0.4999905215012779,0.4999894327126955,0.5000026597241778,0.5000122078610427,0.50000878267039,0.49999789746831175,0.4999893101152805,0.4999878217707319,0.4999922841131689,0.4999990729319017,0.5000051854444895,0.5000093028134087,0.5000114431328222,0.5000122331791598,0.5000123620650722,0.5000123191971312,0.5000123164067363,0.5000122790500846,0.5000118502950027,0.5000104281861546,0.5000073247137351,0.5000021652701763,0.4999955488387858,0.499989656103586,0.499987982236618,0.499993236011168,0.5000037431777491,0.5000117047832027,0.5000083477955228,0.49999521641063,0.4999879637035131,0.49999832892393353,0.5000115830309255,0.5000039272033132,0.49998850945537837,0.499997920683788,0.5000119760256592,0.4999960550530931,0.49999103781958204,0.5000111136638964,0.4999977514545776,0.4999920614384635,0.500011884675749,0.4999912001044213,0.500002110641203,0.5000044911826014,0.49999096963753487,0.5000112448024303,0.49998821247382713,0.5000115083785192,0.4999889188249638,0.5000108981086077,0.49998892244895665,0.5000114784856404,0.49998831190513016,0.5000110217749009,0.49999135406648226,0.500003972860064,0.5000026158810946,0.49999097652734686,0.5000115689998049,0.49999288220488836,0.49999697048917524,0.500011065272732,0.49999206099741494,0.4999951804839831,0.5000113929197079,0.4999992566196968,0.4999887134558379,0.5000023814318255,0.5000113155341853,0.499999975158878,0.49998889599375473,0.4999939764866045,0.5000064519270155,0.5000113076055903,0.5000052831483206,0.49999546447611487,0.4999893695117559,0.49998944867943407,0.49999389558755974,0.49999969247632586,0.5000046810271052,0.5000080420660883,0.50000988953684,0.5000107111280756,0.5000109859758488,0.5000110058132813,0.500010817793997,0.5000102197391891,0.5000087956158914,0.5000060407473697,0.500001660307801,0.49999607056699275,0.49999090717043554,0.4999889573692945,0.4999927265088208,0.5000016053702316,0.5000098188685348,0.5000093036463532,0.49999866105580765,0.499989307286699,0.4999947234682585,0.5000085167772916,0.5000076460720503,0.4999922017545429,0.49999302402090146,0.5000094618386147,0.5000028097436032,0.49998916061870396,0.5000054267967868,0.5000054313899606,0.49998920203910413,0.5000076697686657,0.4999999551249613,0.4999931172347953,0.5000103875064575,0.4999895547298831,0.5000083772263824,0.4999943919606533,0.5000031058255225,0.49999865240520464,0.5000004971876522,0.49999941431790335,0.5000016073571864,0.49999649021816844,0.5000060805478613,0.49999123824628183,0.5000104983698661,0.49999014795101393,0.500005683286653,0.5000015403524194,0.4999914245846167,0.5000101980341506,0.499996560346367,0.4999929625813575,0.500010013022723,0.49999980189797594,0.4999898619524361,0.5000042503608737,0.5000092644118371,0.499995317274545,0.4999902082537448,0.5000016546516203,0.500010339003413,0.5000049668788601,0.4999940192287684,0.49998963891297094,0.4999943913843321,0.5000028150214008,0.5000088901646511,0.5000102405680684,0.5000077812542986,0.5000036233338994,0.4999995083688471,0.49999631234112124,0.4999942189185158,0.49999307547109484,0.4999926774260686,0.49999292481013086,0.4999938743832779,0.49999570796398163,0.49999860519925976,0.500002494394017,0.5000067082882674,0.5000097370719451,0.5000095071534986,0.5000046498512929,0.49999654787300685,0.4999903692811693,0.49999220487147145,0.5000020726174347,0.5000099021950307,0.5000047790703358,0.499992396436034,0.49999249180855454,0.5000063362336747,0.500007476796122,0.49999240437199155,0.49999530952090787,0.5000098257491407,0.49999784928924423,0.4999923931335551,0.5000095187152928,0.49999645551664323,0.4999956135159253,0.5000092137520918,0.4999904461566821,0.5000067083969691,0.4999973200802047,0.499998937029472,0.5000038618912304,0.49999436559080684,0.5000065435700753,0.4999932417153944,0.5000063318477775,0.4999948258179309,0.5000031066470347,0.49999998323165057,0.49999612920092346,0.5000076713144577,0.4999902833176783,0.5000080849013893,0.4999978894360388,0.49999427546847447,0.5000097051568347,0.49999493118252814,0.4999948367437436,0.500009494616621,0.4999991298002431,0.4999907371614343,0.5000036737936054,0.5000088334055747,0.4999967924327028,0.4999905517460441,0.4999993977945675,0.5000088443325444,0.5000069840488806,0.4999976868114663,0.49999103406446815,0.4999917788701172,0.49999773182903956,0.5000043094697415,0.5000084405612563,0.5000094879284217,0.5000083270494836,0.5000061958442455,0.5000040519158775,0.5000024316356715,0.5000015592128453,0.5000014992696623,0.5000022523331435,0.5000037617471448,0.5000058310770948,0.5000079786775954,0.5000093169630834,0.500008644904927,0.500005002871799,0.4999987503847537,0.49999256757135285,0.4999908908406252,0.4999964707315789,0.500005720368866,0.5000090678735432,0.5000010992379674,0.4999913628458004,0.4999951802654239,0.5000074976716428,0.5000053960776252,0.4999920136814281,0.49999686280223954,0.5000092004834219,0.49999744326036566,0.499993118635574,0.5000087585524366,0.49999718652097536,0.4999952020629549,0.5000088895298851,0.4999917053416481,0.500004668114243,0.4999997627709703,0.4999964819129383,0.500006076299895,0.4999924601522754,0.5000082407203034,0.49999151907836903,0.5000084110498823,0.4999920076222316,0.5000070069618491,0.4999948749222725,0.5000020775340839,0.5000020256151609,0.4999937044880135,0.5000088930160184,0.499992354308963,0.5000018252133683,0.500005743952872,0.4999910745825727,0.5000034021871002,0.5000062522653466,0.4999919451180011,0.4999980695897958,0.500008908155952,0.5000001305783924,0.49999109610711173,0.49999855135372107,0.5000082934705365,0.5000054758232931,0.49999555425309405,0.4999911460120591,0.49999572483876165,0.5000036171069793,0.5000084106668675,0.5000080047729999,0.500004025952493,0.49999912838889593,0.49999514523411137,0.499992690210593,0.4999915575152521,0.49999123853407546,0.49999125598826843,0.49999130313027423,0.4999912754740594,0.4999912714284796,0.49999158984382147,0.49999269833889026,0.49999509836537215,0.49999900128497776,0.5000038248634774,0.5000077961915359,0.5000083196945388,0.5000037528586568,0.499996042238249,0.49999137855334735,0.4999954149085407,0.5000050663144797,0.5000081621607989,0.49999895947856937,0.49999138958325623],"x":[100.0,136.9049049049049,173.80980980980982,210.71471471471472,247.6196196196196,284.5245245245245,321.42942942942943,358.33433433433436,395.2392392392392,432.14414414414415,469.0490490490491,505.95395395395394,542.8588588588589,579.7637637637638,616.6686686686687,653.5735735735735,690.4784784784785,727.3833833833834,764.2882882882883,801.1931931931932,838.0980980980981,875.003003003003,911.9079079079079,948.8128128128128,985.7177177177177,1022.6226226226227,1059.5275275275276,1096.4324324324325,1133.3373373373374,1170.2422422422424,1207.147147147147,1244.052052052052,1280.956956956957,1317.8618618618618,1354.7667667667668,1391.6716716716717,1428.5765765765766,1465.4814814814815,1502.3863863863864,1539.2912912912914,1576.1961961961963,1613.101101101101,1650.006006006006,1686.9109109109108,1723.8158158158158,1760.7207207207207,1797.6256256256256,1834.5305305305305,1871.4354354354355,1908.3403403403404,1945.2452452452453,1982.1501501501502,2019.0550550550552,2055.95995995996,2092.864864864865,2129.76976976977,2166.674674674675,2203.57957957958,2240.4844844844847,2277.389389389389,2314.294294294294,2351.199199199199,2388.104104104104,2425.009009009009,2461.913913913914,2498.8188188188187,2535.7237237237237,2572.6286286286286,2609.5335335335335,2646.4384384384384,2683.3433433433433,2720.2482482482483,2757.153153153153,2794.058058058058,2830.962962962963,2867.867867867868,2904.772772772773,2941.677677677678,2978.5825825825827,3015.4874874874877,3052.3923923923926,3089.2972972972975,3126.202202202202,3163.107107107107,3200.012012012012,3236.9169169169168,3273.8218218218217,3310.7267267267266,3347.6316316316315,3384.5365365365365,3421.4414414414414,3458.3463463463463,3495.2512512512512,3532.156156156156,3569.061061061061,3605.965965965966,3642.870870870871,3679.775775775776,3716.680680680681,3753.5855855855857,3790.4904904904906,3827.3953953953956,3864.3003003003005,3901.2052052052054,3938.1101101101103,3975.015015015015,4011.9199199199197,4048.8248248248246,4085.7297297297296,4122.6346346346345,4159.53953953954,4196.444444444444,4233.34934934935,4270.254254254254,4307.15915915916,4344.064064064064,4380.968968968969,4417.873873873874,4454.778778778778,4491.683683683684,4528.588588588588,4565.493493493494,4602.398398398398,4639.303303303303,4676.208208208208,4713.113113113113,4750.018018018018,4786.922922922923,4823.827827827828,4860.732732732733,4897.637637637637,4934.542542542543,4971.447447447447,5008.352352352353,5045.257257257257,5082.1621621621625,5119.067067067067,5155.971971971972,5192.876876876877,5229.781781781782,5266.686686686687,5303.591591591591,5340.496496496497,5377.401401401401,5414.306306306306,5451.211211211211,5488.116116116116,5525.021021021021,5561.925925925926,5598.830830830831,5635.735735735736,5672.64064064064,5709.545545545546,5746.45045045045,5783.355355355356,5820.26026026026,5857.1651651651655,5894.07007007007,5930.974974974975,5967.87987987988,6004.784784784785,6041.68968968969,6078.594594594595,6115.4994994994995,6152.404404404404,6189.309309309309,6226.214214214214,6263.119119119119,6300.024024024024,6336.928928928929,6373.8338338338335,6410.738738738739,6447.643643643643,6484.548548548549,6521.453453453453,6558.358358358359,6595.263263263263,6632.168168168168,6669.073073073073,6705.977977977978,6742.882882882883,6779.787787787788,6816.692692692693,6853.597597597598,6890.5025025025025,6927.407407407408,6964.312312312312,7001.217217217217,7038.122122122122,7075.027027027027,7111.931931931932,7148.8368368368365,7185.741741741742,7222.646646646646,7259.551551551552,7296.456456456456,7333.361361361362,7370.266266266266,7407.171171171171,7444.076076076076,7480.980980980981,7517.885885885886,7554.790790790791,7591.695695695696,7628.600600600601,7665.505505505505,7702.410410410411,7739.315315315315,7776.220220220221,7813.125125125125,7850.03003003003,7886.934934934935,7923.839839839839,7960.744744744745,7997.649649649649,8034.554554554555,8071.459459459459,8108.3643643643645,8145.269269269269,8182.174174174174,8219.07907907908,8255.983983983984,8292.888888888889,8329.793793793793,8366.6986986987,8403.603603603604,8440.508508508508,8477.413413413413,8514.31831831832,8551.223223223224,8588.128128128128,8625.033033033033,8661.937937937939,8698.842842842843,8735.747747747748,8772.652652652652,8809.557557557557,8846.462462462463,8883.367367367367,8920.272272272272,8957.177177177176,8994.082082082083,9030.986986986987,9067.891891891892,9104.796796796796,9141.701701701702,9178.606606606607,9215.511511511511,9252.416416416416,9289.321321321322,9326.226226226227,9363.131131131131,9400.036036036036,9436.940940940942,9473.845845845846,9510.75075075075,9547.655655655655,9584.56056056056,9621.465465465466,9658.37037037037,9695.275275275275,9732.18018018018,9769.085085085086,9805.98998998999,9842.894894894895,9879.799799799799,9916.704704704705,9953.60960960961,9990.514514514514,10027.419419419419,10064.324324324325,10101.22922922923,10138.134134134134,10175.039039039038,10211.943943943945,10248.84884884885,10285.753753753754,10322.658658658658,10359.563563563564,10396.468468468469,10433.373373373373,10470.278278278278,10507.183183183182,10544.088088088089,10580.992992992993,10617.897897897898,10654.802802802802,10691.707707707708,10728.612612612613,10765.517517517517,10802.422422422422,10839.327327327328,10876.232232232232,10913.137137137137,10950.042042042041,10986.946946946948,11023.851851851852,11060.756756756757,11097.661661661661,11134.566566566567,11171.471471471472,11208.376376376376,11245.28128128128,11282.186186186185,11319.091091091092,11355.995995995996,11392.9009009009,11429.805805805805,11466.710710710711,11503.615615615616,11540.52052052052,11577.425425425425,11614.330330330331,11651.235235235235,11688.14014014014,11725.045045045044,11761.94994994995,11798.854854854855,11835.75975975976,11872.664664664664,11909.56956956957,11946.474474474475,11983.37937937938,12020.284284284284,12057.18918918919,12094.094094094095,12130.998998998999,12167.903903903903,12204.808808808808,12241.713713713714,12278.618618618619,12315.523523523523,12352.428428428428,12389.333333333334,12426.238238238238,12463.143143143143,12500.048048048047,12536.952952952954,12573.857857857858,12610.762762762763,12647.667667667667,12684.572572572573,12721.477477477478,12758.382382382382,12795.287287287287,12832.192192192193,12869.097097097098,12906.002002002002,12942.906906906906,12979.811811811811,13016.716716716717,13053.621621621622,13090.526526526526,13127.43143143143,13164.336336336337,13201.241241241241,13238.146146146146,13275.05105105105,13311.955955955957,13348.860860860861,13385.765765765766,13422.67067067067,13459.575575575576,13496.48048048048,13533.385385385385,13570.29029029029,13607.195195195196,13644.1001001001,13681.005005005005,13717.90990990991,13754.814814814816,13791.71971971972,13828.624624624625,13865.52952952953,13902.434434434434,13939.33933933934,13976.244244244244,14013.149149149149,14050.054054054053,14086.95895895896,14123.863863863864,14160.768768768768,14197.673673673673,14234.57857857858,14271.483483483484,14308.388388388388,14345.293293293293,14382.198198198199,14419.103103103103,14456.008008008008,14492.912912912912,14529.817817817819,14566.722722722723,14603.627627627628,14640.532532532532,14677.437437437437,14714.342342342343,14751.247247247247,14788.152152152152,14825.057057057056,14861.961961961963,14898.866866866867,14935.771771771771,14972.676676676676,15009.581581581582,15046.486486486487,15083.391391391391,15120.296296296296,15157.201201201202,15194.106106106106,15231.01101101101,15267.915915915915,15304.820820820822,15341.725725725726,15378.63063063063,15415.535535535535,15452.440440440441,15489.345345345346,15526.25025025025,15563.155155155155,15600.06006006006,15636.964964964965,15673.86986986987,15710.774774774774,15747.679679679679,15784.584584584585,15821.48948948949,15858.394394394394,15895.299299299299,15932.204204204205,15969.10910910911,16006.014014014014,16042.918918918918,16079.823823823825,16116.728728728729,16153.633633633634,16190.538538538538,16227.443443443444,16264.348348348349,16301.253253253253,16338.158158158158,16375.063063063064,16411.96796796797,16448.87287287287,16485.777777777777,16522.682682682684,16559.587587587586,16596.492492492493,16633.3973973974,16670.3023023023,16707.207207207208,16744.11211211211,16781.017017017017,16817.921921921923,16854.826826826826,16891.731731731732,16928.63663663664,16965.54154154154,17002.446446446447,17039.35135135135,17076.256256256256,17113.161161161162,17150.066066066065,17186.97097097097,17223.875875875878,17260.78078078078,17297.685685685687,17334.59059059059,17371.495495495496,17408.400400400402,17445.305305305305,17482.21021021021,17519.115115115113,17556.02002002002,17592.924924924926,17629.82982982983,17666.734734734735,17703.63963963964,17740.544544544544,17777.44944944945,17814.354354354353,17851.25925925926,17888.164164164165,17925.069069069068,17961.973973973974,17998.87887887888,18035.783783783783,18072.68868868869,18109.593593593592,18146.4984984985,18183.403403403405,18220.308308308307,18257.213213213214,18294.118118118116,18331.023023023023,18367.92792792793,18404.83283283283,18441.737737737738,18478.642642642644,18515.547547547547,18552.452452452453,18589.357357357356,18626.262262262262,18663.16716716717,18700.07207207207,18736.976976976977,18773.881881881884,18810.786786786786,18847.691691691693,18884.596596596595,18921.5015015015,18958.406406406408,18995.31131131131,19032.216216216217,19069.12112112112,19106.026026026026,19142.930930930932,19179.835835835835,19216.74074074074,19253.645645645647,19290.55055055055,19327.455455455456,19364.36036036036,19401.265265265265,19438.17017017017,19475.075075075074,19511.97997997998,19548.884884884887,19585.78978978979,19622.694694694695,19659.599599599598,19696.504504504504,19733.40940940941,19770.314314314313,19807.21921921922,19844.124124124122,19881.02902902903,19917.933933933935,19954.838838838838,19991.743743743744,20028.64864864865,20065.553553553553,20102.45845845846,20139.36336336336,20176.268268268268,20213.173173173174,20250.078078078077,20286.982982982983,20323.88788788789,20360.792792792792,20397.6976976977,20434.6026026026,20471.507507507507,20508.412412412414,20545.317317317316,20582.222222222223,20619.12712712713,20656.03203203203,20692.936936936938,20729.84184184184,20766.746746746747,20803.651651651653,20840.556556556556,20877.461461461462,20914.366366366365,20951.27127127127,20988.176176176177,21025.08108108108,21061.985985985986,21098.890890890892,21135.795795795795,21172.7007007007,21209.605605605604,21246.51051051051,21283.415415415417,21320.32032032032,21357.225225225226,21394.130130130132,21431.035035035035,21467.93993993994,21504.844844844843,21541.74974974975,21578.654654654656,21615.55955955956,21652.464464464465,21689.369369369368,21726.274274274274,21763.17917917918,21800.084084084083,21836.98898898899,21873.893893893895,21910.798798798798,21947.703703703704,21984.608608608607,22021.513513513513,22058.41841841842,22095.323323323322,22132.22822822823,22169.133133133135,22206.038038038037,22242.942942942944,22279.847847847846,22316.752752752753,22353.65765765766,22390.56256256256,22427.467467467468,22464.37237237237,22501.277277277277,22538.182182182183,22575.087087087086,22611.991991991992,22648.8968968969,22685.8018018018,22722.706706706707,22759.61161161161,22796.516516516516,22833.421421421423,22870.326326326325,22907.23123123123,22944.136136136138,22981.04104104104,23017.945945945947,23054.85085085085,23091.755755755756,23128.660660660662,23165.565565565565,23202.47047047047,23239.375375375377,23276.28028028028,23313.185185185186,23350.09009009009,23386.994994994995,23423.8998998999,23460.804804804804,23497.70970970971,23534.614614614613,23571.51951951952,23608.424424424426,23645.329329329328,23682.234234234234,23719.13913913914,23756.044044044043,23792.94894894895,23829.853853853852,23866.75875875876,23903.663663663665,23940.568568568568,23977.473473473474,24014.37837837838,24051.283283283283,24088.18818818819,24125.09309309309,24161.997997997998,24198.902902902904,24235.807807807807,24272.712712712713,24309.617617617616,24346.522522522522,24383.42742742743,24420.33233233233,24457.237237237237,24494.142142142144,24531.047047047046,24567.951951951953,24604.856856856855,24641.76176176176,24678.666666666668,24715.57157157157,24752.476476476477,24789.381381381383,24826.286286286286,24863.191191191192,24900.096096096095,24937.001001001,24973.905905905907,25010.81081081081,25047.715715715716,25084.62062062062,25121.525525525525,25158.43043043043,25195.335335335334,25232.24024024024,25269.145145145147,25306.05005005005,25342.954954954956,25379.85985985986,25416.764764764765,25453.66966966967,25490.574574574573,25527.47947947948,25564.384384384386,25601.28928928929,25638.194194194195,25675.099099099098,25712.004004004004,25748.90890890891,25785.813813813813,25822.71871871872,25859.623623623622,25896.528528528528,25933.433433433434,25970.338338338337,26007.243243243243,26044.14814814815,26081.053053053052,26117.95795795796,26154.86286286286,26191.767767767768,26228.672672672674,26265.577577577576,26302.482482482483,26339.38738738739,26376.29229229229,26413.197197197198,26450.1021021021,26487.007007007007,26523.911911911913,26560.816816816816,26597.721721721722,26634.62662662663,26671.53153153153,26708.436436436437,26745.34134134134,26782.246246246246,26819.151151151153,26856.056056056055,26892.96096096096,26929.865865865864,26966.77077077077,27003.675675675677,27040.58058058058,27077.485485485486,27114.390390390392,27151.295295295295,27188.2002002002,27225.105105105104,27262.01001001001,27298.914914914916,27335.81981981982,27372.724724724725,27409.62962962963,27446.534534534534,27483.43943943944,27520.344344344343,27557.24924924925,27594.154154154156,27631.05905905906,27667.963963963964,27704.868868868867,27741.773773773773,27778.67867867868,27815.583583583582,27852.48848848849,27889.393393393395,27926.298298298298,27963.203203203204,28000.108108108107,28037.013013013013,28073.91791791792,28110.82282282282,28147.727727727728,28184.632632632634,28221.537537537537,28258.442442442443,28295.347347347346,28332.252252252252,28369.15715715716,28406.06206206206,28442.966966966967,28479.87187187187,28516.776776776776,28553.681681681683,28590.586586586585,28627.49149149149,28664.396396396398,28701.3013013013,28738.206206206207,28775.11111111111,28812.016016016016,28848.920920920922,28885.825825825825,28922.73073073073,28959.635635635637,28996.54054054054,29033.445445445446,29070.35035035035,29107.255255255255,29144.16016016016,29181.065065065064,29217.96996996997,29254.874874874873,29291.77977977978,29328.684684684686,29365.58958958959,29402.494494494495,29439.3993993994,29476.304304304304,29513.20920920921,29550.114114114112,29587.01901901902,29623.923923923925,29660.828828828828,29697.733733733734,29734.63863863864,29771.543543543543,29808.44844844845,29845.353353353352,29882.258258258258,29919.163163163164,29956.068068068067,29992.972972972973,30029.87787787788,30066.782782782782,30103.68768768769,30140.59259259259,30177.497497497498,30214.402402402404,30251.307307307306,30288.212212212213,30325.117117117115,30362.02202202202,30398.926926926928,30435.83183183183,30472.736736736737,30509.641641641643,30546.546546546546,30583.451451451452,30620.356356356355,30657.26126126126,30694.166166166167,30731.07107107107,30767.975975975976,30804.880880880883,30841.785785785785,30878.69069069069,30915.595595595594,30952.5005005005,30989.405405405407,31026.31031031031,31063.215215215216,31100.12012012012,31137.025025025025,31173.92992992993,31210.834834834834,31247.73973973974,31284.644644644646,31321.54954954955,31358.454454454455,31395.359359359358,31432.264264264264,31469.16916916917,31506.074074074073,31542.97897897898,31579.883883883886,31616.78878878879,31653.693693693695,31690.598598598597,31727.503503503503,31764.40840840841,31801.313313313312,31838.21821821822,31875.12312312312,31912.028028028028,31948.932932932934,31985.837837837837,32022.742742742743,32059.64764764765,32096.55255255255,32133.457457457458,32170.36236236236,32207.267267267267,32244.172172172173,32281.077077077076,32317.981981981982,32354.88688688689,32391.79179179179,32428.696696696697,32465.6016016016,32502.506506506506,32539.411411411413,32576.316316316315,32613.22122122122,32650.126126126128,32687.03103103103,32723.935935935937,32760.84084084084,32797.74574574574,32834.65065065065,32871.555555555555,32908.46046046046,32945.36536536537,32982.27027027027,33019.17517517517,33056.08008008008,33092.984984984985,33129.88988988989,33166.7947947948,33203.6996996997,33240.6046046046,33277.50950950951,33314.414414414416,33351.31931931932,33388.22422422422,33425.12912912913,33462.03403403403,33498.93893893894,33535.843843843846,33572.748748748745,33609.65365365365,33646.55855855856,33683.463463463464,33720.36836836837,33757.27327327328,33794.178178178176,33831.08308308308,33867.98798798799,33904.892892892894,33941.7977977978,33978.7027027027,34015.607607607606,34052.51251251251,34089.41741741742,34126.322322322325,34163.227227227224,34200.13213213213,34237.03703703704,34273.94194194194,34310.84684684685,34347.751751751755,34384.656656656654,34421.56156156156,34458.46646646647,34495.37137137137,34532.27627627628,34569.18118118118,34606.086086086085,34642.99099099099,34679.8958958959,34716.800800800804,34753.7057057057,34790.61061061061,34827.515515515515,34864.42042042042,34901.32532532533,34938.23023023023,34975.13513513513,35012.04004004004,35048.944944944946,35085.84984984985,35122.75475475476,35159.65965965966,35196.56456456456,35233.46946946947,35270.374374374376,35307.27927927928,35344.18418418418,35381.08908908909,35417.993993993994,35454.8988988989,35491.80380380381,35528.708708708706,35565.61361361361,35602.51851851852,35639.423423423425,35676.32832832833,35713.23323323323,35750.138138138136,35787.04304304304,35823.94794794795,35860.852852852855,35897.75775775776,35934.66266266266,35971.56756756757,36008.47247247247,36045.37737737738,36082.282282282285,36119.187187187184,36156.09209209209,36192.996996997,36229.9019019019,36266.80680680681,36303.71171171171,36340.616616616615,36377.52152152152,36414.42642642643,36451.331331331334,36488.23623623623,36525.14114114114,36562.046046046045,36598.95095095095,36635.85585585586,36672.760760760764,36709.66566566566,36746.57057057057,36783.475475475476,36820.38038038038,36857.28528528529,36894.19019019019,36931.095095095094,36968.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..e9f54240e325 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/runner.jl @@ -0,0 +1,139 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + fresnel( x ) + +Evaluate the Fresnel integrals `S(x)` and `C(x)` in extended precision. + +Below `x = 10`, sum the power series; from there on, use the asymptotic expansions of the auxiliary functions `f` and `g` (Abramowitz and Stegun 7.3.27 and 7.3.28), whose terms shrink far below the working precision before they start to grow. + +# Arguments + +* `x`: input value + +# Examples + +``` julia +julia> S, C = fresnel( BigFloat( 1.0 ) ); +``` +""" +function fresnel( x ) + if x < 10 + a = BigFloat( pi ) / 2 * x^2; + S = zero( BigFloat ); + C = zero( BigFloat ); + t = one( BigFloat ); + k = 0; + while k < 10 || abs( t ) > eps( BigFloat ) + if iseven( k ) + C += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + else + S += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + end + k += 1; + t *= a / k; + end + return x * S, x * C; + end + w = BigFloat( pi ) * x^2; + f = one( BigFloat ); + g = one( BigFloat ); + tf = one( BigFloat ); + tg = one( BigFloat ); + for m in 1:60 + tf *= -( 4*m - 3 ) * ( 4*m - 1 ) / w^2; + tg *= -( 4*m - 1 ) * ( 4*m + 1 ) / w^2; + f += tf; + g += tg; + end + f /= BigFloat( pi ) * x; + g /= BigFloat( pi )^2 * x^3; + s, c = sincos( BigFloat( pi ) / 2 * x^2 ); + return 0.5 - ( f * c ) - ( g * s ), 0.5 + ( f * s ) - ( g * c ); +end + +""" + gen( domain, name ) + +Generate fixture data and write to file. + +# Arguments + +* `domain`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( 100.0, stop = 1000.0, length = 1000 ); +julia> gen( x, "data.json" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + S = Float64[]; + C = Float64[]; + setprecision( BigFloat, 2048 ) do + for xi in x + s, c = fresnel( BigFloat( xi ) ); + push!( S, Float64( s ) ); + push!( C, Float64( c ) ); + end + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("S", S), + ("C", C) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Small values: +x = range( 0.0001, stop = 9.99, length = 1000 ); +gen( x, "small.json" ); + +# Medium values: +x = range( 100.0, stop = 36968.0, length = 1000 ); +gen( x, "medium.json" ); + +# Large values: +x = range( 40000.0, stop = 60000.0, length = 1000 ); +gen( x, "large.json" ); + +# Huge values: +x = exp10.( range( log10( 60000.0 ), stop = 15.0, length = 1000 ) ); +gen( x, "huge.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/small.json b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/small.json new file mode 100644 index 000000000000..49481597bdeb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/fixtures/julia/small.json @@ -0,0 +1 @@ +{"C":[0.0001,0.010099899873968551,0.020099798990334188,0.030099693603621535,0.0400995740172867,0.05009942162300795,0.060099205940030605,0.07009888165463206,0.08009838565981399,0.09009763409537991,0.10009651938861779,0.11009490729587908,0.12009263394542745,0.13008950288202245,0.14008528211380586,0.15007970116217054,0.16007244811541507,0.17006316668711868,0.1800514532803157,0.19003685405869966,0.20001886202625185,0.20999691411686047,0.21997038829567941,0.2299386006741693,0.23990080264096283,0.24985617801091045,0.2598038401948818,0.2697428293931277,0.27967210981524837,0.2895905669300587,0.2994970047488992,0.3093901431462044,0.3192686152214136,0.3291309647065865,0.33897564342437536,0.34880100880129683,0.3586053214415453,0.36838674276689776,0.3781433327285667,0.3878730475971741,0.39757373783733674,0.40724314607367484,0.4168789051553793,0.42647853632679583,0.436039447511812,0.44555893172015437,0.4550341655840266,0.46446220803384086,0.47383999912210595,0.4831643590048504,0.4924319870902578,0.5016394613644907,0.5107832379049596,0.5198596505915735,0.5288649110267628,0.5377951086753154,0.5466462112352948,0.5554140652515168,0.5640943969832557,0.5726828135380104,0.58117480428331,0.5895657425486451,0.5978508876297003,0.6060253871071116,0.6140842794919931,0.6220224972104516,0.6298348699392542,0.6375161283047067,0.6450609079566502,0.6524637540292932,0.6597191260003441,0.6668214029596057,0.6737648892978403,0.6805438208262921,0.6871523713367724,0.6935846596116703,0.6998347568926327,0.7058966948159775,0.7117644738221385,0.717432072045611,0.7228934546909485,0.7281425838993666,0.7331734291094315,0.7379799779141435,0.7425562474154751,0.746896296076079,0.7509942360664489,0.7548442461042908,0.7584405847812407,0.7617776043703559,0.7648497651059967,0.767651649925812,0.7701779796625534,0.7724236286713436,0.7743836408758547,0.7760532462145712,0.777427877465963,0.7785031874289409,0.7792750664324495,0.7797396601454438,0.7798933876558212,0.7797329597841378,0.7792553975951292,0.7784580510671979,0.777338617877118,0.7758951622542635,0.7741261338556839,0.7720303866103555,0.7696071974779266,0.7668562850642697,0.7637778280331574,0.7603724832504194,0.75664140359401,0.7525862553605499,0.7482092351961142,0.7435130864763302,0.7385011150582558,0.7331772043240308,0.727545829433974,0.7216120707046284,0.7153816260252884,0.7088608222247638,0.7020566252986032,0.6949766494057082,0.6876291645422477,0.6800231028000827,0.6721680631164999,0.6640743144220218,0.6557527970933701,0.6472151226193926,0.6384735713888844,0.6295410885108291,0.6204312775796207,0.6111583923003627,0.6017373258923925,0.5921835981927421,0.5825133403853902,0.5727432772868428,0.5628907071238799,0.5529734787451815,0.5430099662150637,0.533019040744675,0.5230200399237869,0.5130327342247143,0.5030772907589628,0.493174234276912,0.48334440541118223,0.47360891617533146,0.4639891027411282,0.4545064755298872,0.445182666666157,0.43603937485545163,0.4270983077616394,0.4183811219740432,0.4099093606692231,0.401704389087737,0.39378732796190635,0.38617898504664055,0.3788997849216892,0.37196969725018536,0.365408163694982,0.3592340237109546,0.35346543944809705,0.34811982001675895,0.34321374538267835,0.3387628901754636,0.3347819477097407,0.33128455453323136,0.3282832158304173,0.3257892320240823,0.32381262692976603,0.32236207782990095,0.3214448478449912,0.32106672098851524,0.3212319403001476,0.32194314945827157,0.32320133827745656,0.32500579249947614,0.32735404828740156,0.3302418518312054,0.3336631244700183,0.33760993373057824,0.34207247067339047,0.34703903392755514,0.35249602078203995,0.35842792568526566,0.36481734648617686,0.37164499872839957,0.37888973828461653,0.3865285925908474,0.3945368007099239,0.4028878624200548,0.4115535964880269,0.42050420824731255,0.42970836655918837,0.43913329019003483,0.44874484359032923,0.4585076420106474,0.46838516583735257,0.47833988397579696,0.48833338605195414,0.4983265231447075,0.5082795567007712,0.5181523152227203,0.5279043582581565,0.5374951471549864,0.5468842219844935,0.5560313839707601,0.5648968827024176,0.5734416073411606,0.5816272809813718,0.5894166572570877,0.5967737182368539,0.6036638725943139,0.6100541529931701,0.6159134115799594,0.6212125124374773,0.6259245198161745,0.630024880930998,0.6334916020874805,0.6363054168839207,0.6384499452267511,0.6399118418941547,0.6406809333891058,0.6407503418377288,0.6401165947125652,0.6387797191933697,0.636743320020727,0.6340146397503312,0.6306046003783929,0.6265278253814565,0.6218026412969809,0.6164510580643249,0.610498727449191,0.6039748789879371,0.5969122330111624,0.5893468904382687,0.581318199175812,0.572868597101823,0.5640434317752445,0.554890757173405,0.5454611079302024,0.5358072517224071,0.5259839206301308,0.5160475224789443,0.5060558333540173,0.4960676726597415,0.4861425622800718,0.4763403715738537,0.46672095011406595,0.45734375024861224,0.4482674417213307,0.43954952074358655,0.4312459160474123,0.4234105945789119,0.416095169603861,0.409348514094352,0.4032163823443248,0.397741042821239,0.39296092529949234,0.38891028533698424,0.3856188891481787,0.3831117218939125,0.3814087223490134,0.38052454682265785,0.38046836509263454,0.38124369097284816,0.3828482499632383,0.38527388623283476,0.38850651096018307,0.3925260938014065,0.3973066989755461,0.40281656715067876,0.40901824398406933,0.41586875581701566,0.4233198326521288,0.4313181781499289,0.4398057859754559,0.4487203014070828,0.45799542669207816,0.46756136820024335,0.4773453229918576,0.48727200198321474,0.49726418646642145,0.5072433143241596,0.5171300918793331,0.5268451269384661,0.5363095782310779,0.5454458161196285,0.5541780891606743,0.5624331908420745,0.5701411206078668,0.5772357331159311,0.5836553695577422,0.5893434648079976,0.5942491241679212,0.59832766352245,0.6015411068506313,0.6038586352122298,0.6052569815829663,0.6057207662266086,0.6052427676742141,0.6038241248283739,0.6014744662218224,0.598211963032889,0.5940633030919045,0.5890635837989026,0.5832561226090592,0.5766921845227707,0.569430626835789,0.5615374622543584,0.5530853423530713,0.5441529642407354,0.5348244041929224,0.5251883828994408,0.5153374678507775,0.5053672192391542,0.4953752865666908,0.4854604639244249,0.475721712620881,0.46625716048677635,0.45716308775292847,0.44853290988139316,0.44045616811580474,0.4330175387969995,0.4262958726562086,0.42036327534339885,0.4152842403667209,0.41111484540584314,0.4079020226138113,0.40568291303717047,0.4044843146621236,0.4043222328369271,0.4052015409306893,0.407115758071238,0.4100469496665817,0.41396575516438217,0.4188315461523062,0.4245927164614566,0.4311871044193542,0.4385425458238612,0.4465775545922462,0.45520212639888225,0.46431865897068386,0.4738229810821127,0.48360548070304815,0.49355232122508835,0.5035467332473361,0.5134703680637136,0.5232046977823496,0.5326324459448546,0.5416390316196693,0.5501140092381135,0.5579524859415309,0.5650564979283684,0.5713363272440801,0.5767117406548143,0.5811131326953273,0.5844825556868176,0.5867746204822761,0.5879572529128542,0.5880122923722927,0.5869359206774629,0.5847389112674921,0.5814466909339243,0.5770992085882238,0.5717506080453698,0.5654687044045451,0.5583342663080203,0.5504401091224382,0.5418900068754219,0.5327974335553791,0.5232841471025208,0.5134786320424563,0.503514419197784,0.49352830321565255,0.48365848072885975,0.4740426337848966,0.46481598469374313,0.4561093496265731,0.4480472191127241,0.44074589400459235,0.43431170548771453,0.4288393472898475,0.4244103473781175,0.42109170512348215,0.41893471815997635,0.4179740209827296,0.41822685473117965,0.41969258461725656,0.4223524781149407,0.4261697533670169,0.4310899033334471,0.43704129705634015,0.4439360551076539,0.45167119188125576,0.4601300129588897,0.4691837513913232,0.4786934224652403,0.48851187244814265,0.4984859929924638,0.5084590694096968,0.5182732279663537,0.5277719447727558,0.5368025767942491,0.5452188740671355,0.5528834313949769,0.5596700376724569,0.5654658815608276,0.5701735735371766,0.5737129463631999,0.5760225987592684,0.5770611505045568,0.5768081812788846,0.5752648302684799,0.572454038814936,0.5684204241205868,0.5632297781491581,0.5569681922820103,0.5497408149025056,0.5416702557711017,0.5328946577028861,0.5235654625445154,0.5138449046441198,0.5039032707913267,0.49391597085344446,0.48406046793163093,0.4745131206987498,0.46544599355989913,0.45702369231105133,0.4494002839892167,0.44271635955423644,0.4370962968812322,0.43264577925758996,0.42944962117395935,0.42756994870202936,0.4270447762121762,0.42788701467333234,0.4300839393894421,0.4335971368765918,0.43836294180689606,0.44429336569185024,0.45127750941691686,0.45918344205106854,0.4678605187298252,0.47714210104402766,0.48684863445731297,0.496791029019447,0.5067742822306924,0.5166012765244407,0.5260766786371738,0.5350108642736168,0.5432237890755414,0.550548726063702,0.55683579051345,0.5619551756831447,0.5658000269440773,0.5682888876291087,0.5693676572561198,0.5690110115868241,0.5672232441110172,0.5640384998265036,0.5595203844097364,0.5537609448073477,0.5468790306657021,0.5390180595763359,0.5303432225576157,0.5210381792169325,0.5113013043415663,0.5013415589532612,0.4913740688470502,0.4816155020534172,0.4722793432749209,0.463571167946823,0.4556840209874493,0.44879400541352,0.443056183722543,0.43860089026516336,0.43553054577663297,0.4339170558963733,0.4337998640226527,0.43518471542587456,0.43804317443199314,0.44231291998918154,0.4478988273918016,0.4546748257387323,0.4624865022602239,0.4711544063911104,0.4804779888415415,0.4902400943628497,0.5002119118584871,0.5101582723594033,0.5198431745482337,0.5290354093124527,0.5375141495150562,0.545074369011766,0.551531956065302,0.5567283907820679,0.5605348640153843,0.5628557262482445,0.5636311691082835,0.5628390591150364,0.5604958626709222,0.5566566227643506,0.5514139708708516,0.5448961815744086,0.5372643018998129,0.5287084116303397,0.5194430943498104,0.5097022209606629,0.499733167373168,0.4897906053524895,0.4801300196172943,0.4710011147402759,0.4626412818229727,0.45526929701535934,0.449079421541896,0.4442360659122997,0.4408691694907729,0.4390704307497826,0.43889050364560045,0.4403372520450436,0.44337512754152,0.44792570696138373,0.4538693951049262,0.4610482665877144,0.46926998889670996,0.4783127378307091,0.4879309872411531,0.49786202829349874,0.5078330501532782,0.5175685948177253,0.5267981844234266,0.5352639103072756,0.5427277697914846,0.5489785393608383,0.5538379816943622,0.5571661988232876,0.5588659642545492,0.5588858927900529,0.5572223373830592,0.5539199369431179,0.5490707766281656,0.5428121618259083,0.5353230476130734,0.5268192058145369,0.5175472506593096,0.5077776802472175,0.4977971234416154,0.4879000093111303,0.4783798978933582,0.46952072602964884,0.46158822968466967,0.4548218040834093,0.4494270549619531,0.4455692782658542,0.44336808201610817,0.44289333331854597,0.4441625763767517,0.44714002486270277,0.451737185283594,0.4578151184067723,0.46518829484791113,0.47362995016003334,0.48287879579406195,0.4926468967382298,0.502628486026661,0.5125094520674806,0.521977208146593,0.5307306355745159,0.5384897835699048,0.5450050106387435,0.5500652641247533,0.5535052166569694,0.5552110099506031,0.5551243970403146,0.5532451224361521,0.5496314344953567,0.5443986838472384,0.5377160241350646,0.5298012946382727,0.5209142264113531,0.5113481723028594,0.5014206145303848,0.49146274943938656,0.4818084859135318,0.47278322014027574,0.46469276389646463,0.4578128054049012,0.45237927073527495,0.4485799297308628,0.4465475540359467,0.44635488692552383,0.4480116266752261,0.45146355892624623,0.45659390101268355,0.4632268449226652,0.4711332080595369,0.480038024972874,0.48962984148264604,0.4995714077916684,0.5095114117672879,0.5190968498008729,0.5279856023934706,0.5358587663012994,0.5424322956358447,0.5474675211270326,0.5507801496166521,0.5522473939496383,0.5518129453852555,0.5494895745194276,0.5453592300575653,0.5395705947471503,0.5323341511865548,0.523914903668649,0.5146229921957712,0.5048025178505586,0.4948189715243344,0.4850457175868106,0.4758500278434124,0.46757918701747153,0.46054719758904,0.45502259839723885,0.45121787799726404,0.44928091115827784,0.44928877666230277,0.45124422901319056,0.455074998745885,0.46063598926166954,0.4677143264705312,0.47603710526327514,0.4852815683701865,0.4950873528661137,0.5050703516242935,0.514837665194817,0.5240030671375683,0.532202375333674,0.5391081149800818,0.5444428766761887,0.5479908151065574,0.5496067991828262,0.5492228110263879,0.5468512958258379,0.5425852835402662,0.5365952321019009,0.5291226751373342,0.5204708898851582,0.5109929274348994,0.5010774622556095,0.49113301617167454,0.48157118899097445,0.472789580178154,0.4651551105237578,0.45898844801252126,0.4545502075626387,0.45202953076656494,0.4515355612434307,0.45309221695032326,0.4566365271335142,0.46202065381773616,0.4690175618647037,0.47733014422069264,0.4866034567933629,0.4964395771745613,0.5064144795352729,0.5160962202006496,0.5250636594980556,0.5329249091425395,0.5393346930213968,0.5440098436154995,0.5467422257359327,0.5474084814661356,0.5459761213658798,0.5425056419029431,0.5371485213206726,0.5301411283698445,0.5217947625385785,0.5124822223188003,0.5026214614425776,0.4926570341507605,0.48304014248586846,0.4742081755608666,0.4665646684376296,0.46046060404849276,0.45617793477769963,0.4539161121110272,0.45378228634156076,0.4557856787293195,0.45983644247162286,0.4657491244774328,0.47325062644450444,0.4819923509644391,0.49156601638966974,0.5015224427878442,0.5113924595462992,0.5207089709451215,0.5290291455636602,0.5359556730476868,0.5411560596592772,0.5443790119036954,0.545467082697113,0.5443649219652831,0.5411226760259628,0.5358943085004916,0.5289308592250102,0.5205689050811912,0.5112147257662512,0.5013248963171449,0.49138421545370736,0.4818820245623104,0.47328806828155373,0.4660290883300334,0.4604673242226077,0.45688201751133845,0.4554548827766098,0.4562603243072008,0.45926095047564286,0.46430867882783594,0.47115144633811157,0.4794452549038698,0.48877100636429266,0.4986553284247626,0.5085943763149229,0.5180794267119083,0.5266229701165646,0.5337839624001235,0.5391909193538283,0.5425616299990348,0.5437184217840058,0.5425981267304416,0.5392561619830177,0.533864438153371,0.5267031292498978,0.5181466623229021,0.5086445961118429,0.4986983391406504,0.4888348932608196,0.47957898506131447,0.47142505418014546,0.4648105972056384,0.4600923153745649,0.45752638475134627,0.45725396441362254,0.459292790911805,0.4635353891677314,0.4697540773703269,0.47761257492261766,0.48668365800446095,0.49647196698448737,0.5064407730147287,0.5160412749781557,0.5247428368592533,0.5320625000425059,0.5375921209457185,0.5410215927095636,0.542156806169286,0.5409312807461338,0.5374107362677389,0.5317902641193418,0.524384169529202,0.5156089732354823,0.5059604566108643,0.4959859865236457,0.486253643762214,0.4773198839595533,0.4696975691933317,0.4638262136106943,0.46004618518482526,0.45857840182960247,0.45951076341593133,0.462792187221228,0.4682346833440527,0.4755234427664474,0.48423444065222815,0.49385860869330395,0.5038312297707348,0.5135648805316329,0.52248401355973,0.5300591463746243,0.5358386190788004,0.5394759987121557,0.54075144165623,0.5395856639954623,0.5360455952224792,0.530341279042227,0.5228141079213843,0.5139170043633113,0.5041876596963046,0.494216379522586,0.4846104359346263,0.47595706697076257,0.4687873766646119,0.4635433650539836,0.4605501555297957,0.4599951943317934,0.4619157895214216,0.4661958575671337,0.4725721841766474,0.48064991615097236,0.4899264192720191,0.49982210029628477,0.5097163336964361,0.5189862862676898,0.5270462191742652,0.5333847835271884,0.5375979190139606,0.5394152124214572,0.5387179611665646,0.5355476939134595,0.5301044956422202,0.522735131431684,0.5139116209082473,0.5042015414089202,0.49423189118808697,0.4846487871147235,0.4760755733189319,0.46907205579812605,0.46409754098308215,0.4614801428844991,0.46139444449310485,0.46384907655953506,0.46868514267335454,0.47558571371295927,0.48409588287038735,0.49365216287248814,0.5036193675399698,0.5133325945582364,0.5221415526263958,0.5294542819143813,0.5347773183623775,0.5377495532532987,0.5381674296804672,0.5359996739417651,0.5313904476367375,0.5246505807520022,0.5162373558641112,0.5067241038594207,0.4967615875831965,0.48703374090511625,0.4782107537501092,0.4709027163819774,0.46561703959089434,0.4627226472605825,0.46242350542950955,0.4647434338402343,0.4695233820800402,0.4764314937972713,0.48498538787924134,0.49458521737391714,0.5045552871876028,0.5141913770313558,0.5228104743750545,0.5297994081683706,0.5346589071021011,0.5370398882113295,0.5367692968313386,0.5338635343853024,0.528528378190151,0.5211452574342003,0.5122447338501116,0.5024689734005314,0.4925258175108515,0.48313770708379494,0.4749891295223669,0.46867641377033564,0.4646635750257737,0.46324751352398796,0.4645352251433544,0.4684348290059906,0.4746612182878857,0.4827560667267432,0.49212085340019157,0.502060582078886,0.5118350439840327,0.5207138688102558,0.5280312776002593,0.5332364220920167,0.5359354758811584,0.5359222172491839,0.5331946733205448,0.5279564217016497,0.5206022941808263,0.5116894119335186,0.501895613041743,0.4919683234228311,0.482667693038952,0.4747083074847113,0.46870394827488654,0.4651196952493803,0.46423514959945417,0.46612174040470933,0.4706360196327328,0.47742962870155065,0.4859753266685513,0.4956072059712324,0.5055720861289271,0.5150881604207587,0.5234063511576653,0.5298695596769365,0.5339651048104271,0.5353661260797603,0.5339585531366102,0.5298513509227403,0.5233690568633089,0.515027030797537,0.5054912292155542,0.4955255806247729,0.4859310744487333,0.477481394307406,0.47086026442854806,0.4666056015857516,0.46506507371363914,0.46636679339392456,0.47040768473023814,0.47686064787797083,0.4852001189626626,0.4947441079300528,0.5047094180147771,0.5142756240489208,0.5226526100773782,0.5291461098204376,0.5332157929396909,0.5345209949915823,0.532950160516585,0.5286313824544608,0.52192297247338,0.5133846594309187,0.5037316489300031,0.49377524740164835,0.4843549323813794,0.4762675321259116,0.4701994896987226,0.46666799502275663,0.4659760813699807,0.468185651039263,0.4731109082893645,0.4803329577718709,0.4892345178520351,0.4990519547139222,0.508940316580698,0.5180458732773926,0.5255799521420417,0.530887676342763,0.5335055805247445,0.533202978034086,0.5300033135628294,0.5241834431355595,0.5162506954911571,0.506899520119531,0.49695134609474795,0.487282799622719,0.4787485173320708,0.47210534329931164,0.4679446531462169,0.4666389028701105,0.4683073015432742,0.47280385416264914,0.47972905476622435,0.48846440214791054,0.4982268485969405,0.5081384627512047,0.517305159860287,0.5248974620870567,0.5302259871504094,0.5328047594282691,0.5323964678102374,0.5290353749127628,0.5230255766939043,0.5149145435917324,0.505444142669309,0.4954834366069365,0.4859492836836927,0.4777219576805471,0.4715635490064572,0.46804673789189793,0.4675006520810456,0.4699790060516111,0.4752536981206119,0.48283469717664773,0.4920145970833486,0.5019338828854553,0.5116609603743149,0.5202795425206627,0.5269752087462944,0.5311129400134814,0.53229819715167,0.530415590861862,0.5256412592212959,0.5184275337777499,0.509461108664597,0.499598478699157,0.48978463582619414,0.48096268957828897,0.47398303651420265,0.46952084233923447,0.46800989279311295,0.46959937130270435,0.47413796656192797,0.4811871016233141,0.49006225577634255],"S":[5.23598775598299e-13,5.394483015343038e-7,4.251809569145113e-6,1.4278580937201356e-5,3.376125116421957e-5,6.584128553793334e-5,0.00011366009625850555,0.00018035899417310214,0.0002690791172117979,0.00038296133087543775,0.0005251460961271809,0.0006987733000411867,0.0009069820445644473,0.0011529103887513914,0.0014396950398358073,0.0017704709885111721,0.0021483710837989383,0.0025765255428950467,0.0030580613913983377,0.0035961018293409423,0.004193765518460631,0.004854165786178995,0.005580409741777536,0.006375597300297038,0.007242820109724209,0.008185160377074395,0.00920568958903054,0.010307467122857163,0.011493538743374776,0.012766934981855207,0.014130669392782754,0.015587736684520319,0.017141110720024968,0.01879374238387364,0.0205485573119886,0.022408453480594014,0.024376298651090388,0.02645492766770409,0.0286471396049545,0.030955694762183426,0.03338331150261032,0.03593266293461367,0.03860637343319496,0.04140701499985658,0.04433710345942093,0.04739909449263514,0.050595379503744514,0.05392828132258014,0.05740004974109113,0.061012856884662146,0.06476879241899113,0.06866985859376319,0.07271796512484278,0.07691492391722,0.08126244363148784,0.08576212409719529,0.09041545057701854,0.0952237878863172,0.10018837437329572,0.10531031576567379,0.11059057889047934,0.11602998527431789,0.12162920463224035,0.12738874825412666,0.13330896229832706,0.1393900210031525,0.14563191982768262,0.15203446853426147,0.158597284225976,0.16531978435336186,0.1722011797055498,0.1792404674020546,0.18643642390241597,0.1937875980519215,0.201292304182678,0.208948615290341,0.21675435630786716,0.2247070974987097,0.23280414799293567,0.24104254949080023,0.24941907015936157,0.2579301987487575,0.2665721389557895,0.2753408040634612,0.2842318118860971,0.29324048005061437,0.3023618216454305,0.311590541269361,0.3209210315136776,0.3303473699112687,0.33986331638754047,0.34946231124833915,0.35913747374072696,0.36888160122292396,0.37868716898010835,0.38854633072305184,0.3984509198067429,0.4083924512062074,0.4183621242866735,0.4283508264050249,0.43834913737914594,0.4483473348612679,0.45833540065077377,0.4683030279810917,0.47823962981431445,0.4881343481759841,0.49797606456111304,0.507753411440911,0.5174547848979076,0.5270683584151281,0.5365820978427525,0.5459837775632015,0.5552609978728841,0.5644012035958829,0.5733917039416353,0.5822196936152189,0.5908722751851079,0.599336482709309,0.6075993066165173,0.6156477198344498,0.6234687051527298,0.6310492838026847,0.63837654523113,0.6454376780396868,0.6522200020554082,0.6587110014924747,0.6648983591584945,0.6707699916524863,0.6763140854949882,0.6815191341238909,0.6863739756826122,0.6908678315200737,0.6949903453146817,0.698731622727146,0.7020822714795264,0.7050334417504224,0.7075768667687105,0.7097049034807745,0.7114105731587402,0.7126876018099118,0.7135304602404147,0.7139344036190423,0.7138955103805177,0.7134107203008676,0.712477871571414,0.7110957366920635,0.7092640569991829,0.7069835756384258,0.7042560687884981,0.7010843749380569,0.6974724220148002,0.6934252521633758,0.6889490439670758,0.6840511319074514,0.6787400228560431,0.6730254093934144,0.6669181797526935,0.6604304241878848,0.6535754375714,0.6463677180306006,0.6388229614397132,0.6309580515912996,0.6227910458806002,0.6143411563465391,0.6056287259250296,0.5966751997834736,0.5875030916200208,0.5781359448272786,0.5685982884377172,0.5589155877870398,0.5491141898522223,0.5392212632428139,0.5292647328473462,0.5192732091613178,0.5092759123491689,0.49930259111982045,0.48938343652373556,0.4795489908089054,0.46983005150363644,0.4602575709253676,0.45086255134689057,0.44167593608412203,0.4327284968028551,0.42405071737554306,0.4156726746529433,0.4076239165492298,0.3999333378727291,0.3926290543675751,0.3857382754640612,0.379287176267092,0.3733007693426283,0.3678027768911616,0.3628155039247592,0.3583597130898405,0.3544545018013082,0.3511171823746728,0.3483631658611249,0.3462058503058178,0.34465651416167375,0.3437242155995258,0.3434156984600968,0.343735305593932,0.3446849003316911,0.34626379681893144,0.3484686999364537,0.3512936555092278,0.3547300114836834,0.3587663907245814,0.36338867604863595,0.36858000807242924,0.3743207964068774,0.38058874467953097,0.38735888980931454,0.394603655895966,0.4022929230185296,0.41039411116386587,0.41887227942749367,0.42769024054533916,0.4368086907264641,0.4461863546638413,0.4557801455031722,0.46554533944898396,0.47543576458333076,0.4854040033658446,0.4954016081752667,0.5053793291425794,0.5152873534151202,0.5250755548803768,0.5346937532682912,0.5440919814427145,0.5532207595869839,0.5620313748863752,0.5704761652123693,0.5785088052211762,0.5860845931928247,0.5931607368582886,0.5996966363916357,0.6056541626829803,0.6109979289571371,0.6156955537632257,0.61971791333302,0.6230393812914297,0.62563805370201,0.6274959574445672,0.6285992399514708,0.6289383383748177,0.628508126318638,0.6273080363492993,0.6253421565934719,0.6226192998466173,0.6191530437460258,0.6149617407108154,0.6100684965168061,0.6045011165563297,0.5982920190312965,0.5914781145414144,0.5841006517574453,0.5762050291106605,0.5678405726829167,0.5590602807455795,0.5499205356681746,0.5404807841973619,0.5308031873915704,0.5209522417842826,0.5109943736371843,0.5009975084307425,0.49103061802171316,0.48116324817187295,0.4714650294172095,0.4620051744989874,0.45285196581472126,0.444072236565183,0.4357308494702551,0.42789017709889127,0.4206095880038216,0.41394494296727885,0.4079481057473276,0.4026664727629807,0.39814252616794266,0.39441341473558394,0.3915105669098824,0.38945934026718937,0.3882787114806803,0.38798101068252555,0.38857170387784323,0.39004922677946247,0.3924048731039567,0.39562273999832476,0.3996797328545584,0.4045456313181345,0.41018321780867273,0.4165484693496091,0.42359081295222767,0.4312534442217692,0.4394737082540864,0.4481835412753521,0.45730997085007885,0.46677567184992,0.4764995747436126,0.48639752214341364,0.49638296893227357,0.5063677207057463,0.5162627047003328,0.5259787668528295,0.5354274881504545,0.5445220129961895,0.5531778819348113,0.561313860769216,0.5688527578501554,0.5757222211513673,0.5818555066515876,0.5871922095398884,0.5916789498451945,0.5952700042679109,0.5979278762637099,0.5996237967980415,0.6003381486551914,0.6000608077469688,0.5987913955214537,0.5965394373185812,0.5933244223523775,0.5891757619138246,0.5841326433768563,0.5782437786448312,0.5715670467868132,0.5641690317717464,0.5561244574027088,0.5475155227704364,0.538431142771889,0.528966099461676,0.5192201112069053,0.5092968277841996,0.4993027606756887,0.4893461588729693,0.4795358414686523,0.4699799991887844,0.4607849777811282,0.452054056809775,0.4438862379024225,0.4363750568406908,0.4296074340651394,0.4236625781758773,0.4186109568393128,0.41451334915606125,0.4114199930009384,0.40936984011217864,0.40838993078491287,0.408494898917397,0.4096866168740657,0.4119539881764328,0.4152728944231165,0.41960630108845637,0.424904524972562,0.4311056640939356,0.43813618875118165,0.4459116903570358,0.4543377824922959,0.463311146467096,0.4727207115416673,0.4824489578785227,0.49237332830387165,0.5023677330790922,0.5123041301542215,0.5220541618248877,0.5314908273709156,0.5404901701464456,0.548932956743028,0.5567063252814493,0.56370537962453,0.5698347063578035,0.5750097917698899,0.5791583167871679,0.5822213088810768,0.5841541313690759,0.5849272922648718,0.584527056887535,0.5829558507947776,0.5802324422397513,0.5763918962347689,0.5714852954057883,0.5655792260999423,0.5587550316219868,0.5511078379774839,0.5427453610405324,0.5337865075888809,0.5243597861041112,0.5146015465628676,0.5046540715898902,0.4946635442484839,0.4847779203539495,0.47514473545779107,0.4659088785158485,0.4572103656768835,0.4491821485699103,0.4419479918951208,0.4356204550081973,0.43029901151243005,0.4260683396272872,0.4229968142848162,0.42113522952500976,0.4205157768363279,0.42115130164624986,0.4230348562472581,0.4261395630940535,0.4304187976854434,0.4358066952154292,0.4422189799167944,0.4495541106083389,0.45769473048118375,0.46650940371244093,0.4758546161713694,0.48557701238115875,0.49551583611591066,0.5055055376428299,0.5153785067561935,0.5249678874790977,0.5341104277109899,0.5426493152441763,0.5504369505210189,0.557337606303153,0.5632299251089469,0.5680092068648135,0.5715894417131127,0.5739050463108453,0.574912266208375,0.5745902119680032,0.5729415025029728,0.569992495606276,0.5657930926974091,0.5604161123311691,0.5539562348596401,0.5465285286793635,0.5382665765837515,0.5293202287229104,0.5198530163920262,0.5100392681671536,0.5000609766275428,0.49010446989575884,0.4803569473484371,0.4710029429711798,0.46222078283509604,0.4541791049621773,0.4470335103449618,0.4409234130388068,0.4359691550237891,0.43226944793584554,0.42989919881945443,0.4289077708117263,0.4293177222138877,0.43112405885266086,0.43429402511993137,0.4387674487686125,0.44445764362292733,0.4512528630394382,0.45901828545438017,0.46759850190867963,0.4768204642975657,0.48649684249271496,0.49642972867464286,0.5064146184269667,0.5162445906040439,0.5257146018925332,0.5346258075245934,0.5427898169157465,0.5500327922103205,0.5561992989007817,0.5611558208822424,0.5647938575047863,0.5670325273436745,0.5678206124251228,0.5671379873818418,0.5649963902826441,0.5614395054573884,0.5565423432575798,0.5504099170559469,0.5431752335693122,0.5349966284407259,0.5260544945777199,0.5165474656460263,0.5066881309967599,0.4966983708054017,0.48680441098812344,0.47723170622892785,0.4681997659303318,0.45991704186654986,0.45257599759891326,0.4463484781944508,0.4413814944193256,0.4377935283753603,0.4356714575955809,0.4350681820689218,0.4360010237489163,0.4384509511063349,0.442362662562466,0.4476455425941412,0.4541754833865757,0.46179754361587366,0.47032939478619257,0.47956548505807317,0.4892818312166739,0.4992413318619414,0.5091994795515852,0.5189103369470787,0.5281326324051298,0.536635824259206,0.5442059805087185,0.5506513219521174,0.5558072820454765,0.5595409459216574,0.5617547439456125,0.5623892916842194,0.5614252879082375,0.5588844047972042,0.554829129374149,0.5493615417663973,0.5426210435165008,0.534781077148319,0.5260449057894865,0.5166405481106984,0.5068149884183641,0.49682780371049384,0.4869443682040246,0.4774288106605298,0.4685369102586467,0.4605091223723325,0.4535639261206168,0.44789168079579317,0.4436491682334104,0.4409549829869827,0.4398859120900704,0.44047442165200007,0.44270733910460747,0.44652578828839246,0.45182640054339507,0.4584637894533683,0.4662542408537293,0.47498053417279684,0.4843977771686622,0.4942401046759553,0.5042280640712381,0.5140764867138236,0.5235026264299952,0.5322343338629334,0.5400180297341888,0.5466262411060904,0.5518644727569668,0.5555772007380019,0.557652796818316,0.558027220380852,0.5566863477412427,0.5536668469713973,0.5490555480959739,0.5429873028261726,0.5356413735212073,0.5272364364657671,0.5180243284260226,0.5082827064054528,0.4983068272206623,0.48840068470333553,0.47886776688809174,0.4700017125214171,0.46207715488749956,0.4553410407961882,0.4500047033836688,0.4462369491854928,0.44415839309027105,0.4438372398939377,0.44528666914924087,0.4484639320004191,0.45327121609456494,0.45955827904539753,0.46712679401423846,0.47573629458309596,0.48511155207958123,0.49495116870402317,0.5049371259527539,0.5147449915304843,0.5240544605980576,0.5325598899522399,0.5399804774203887,0.5460697438718227,0.5506239919264302,0.5534894434198497,0.5545677963133957,0.5538199899844841,0.5512680243101711,0.5469947409505872,0.5411415427647983,0.5339040971489887,0.5255261389311389,0.5162915558748616,0.5065150024393582,0.4965313429126604,0.48668427126436586,0.4773144901980747,0.46874785440626415,0.46128389182700164,0.4551851111130926,0.4506674833831978,0.4478924519792117,0.44696077627135744,0.44790845590278966,0.4507049120902106,0.45525352495602806,0.4613945429705352,0.4689102953046283,0.4775325532783247,0.48695180624347084,0.4968281432155287,0.5068033672589772,0.51651391764569,0.5256041373739249,0.5337394025066452,0.5406186261513342,0.5459856643272362,0.5496391833550968,0.5514405979843618,0.5513197547971583,0.5492781144135079,0.5453892760067496,0.5397967854669746,0.5327092706806508,0.5243930500205229,0.5151624593312041,0.5053682345468816,0.49538436785965767,0.4855939216696797,0.4763743334619885,0.46808277394134074,0.4610421285970966,0.4555281585440864,0.45175836002373465,0.44988298426211804,0.4499786022458439,0.452044504993951,0.45600212241993937,0.4616975268699562,0.4689069653591593,0.4773452422008595,0.48667665606436167,0.49652808738257515,0.5065037380766877,0.5162009499347557,0.5252264741968699,0.5332125356805363,0.5398320319048381,0.5448122318775506,0.5479463901287952,0.5491027677201314,0.5482306507491832,0.5453630747110684,0.5406160954783334,0.5341845893987374,0.5263347103311627,0.5173932742871977,0.5077344766086942,0.4977644663845754,0.48790440265291557,0.47857269211839765,0.47016715484915456,0.46304788003710057,0.457521517024925,0.4538276974074482,0.4521282035056415,0.45249938968286973,0.45492822993078813,0.4593122131716263,0.46546314304866976,0.47311472857310416,0.4819336832611398,0.49153389084433924,0.5014930525655716,0.5113711112309028,0.5207296564535578,0.5291514586216555,0.5362592593644,0.5417329654051691,0.5453244506799884,0.5468692667047411,0.5462946898964284,0.5436236917697809,0.5389745970818993,0.5325563883518266,0.524659814157037,0.5156446541472214,0.5059236766919737,0.49594398672334195,0.48616659365241965,0.47704512540913835,0.46900466937951646,0.46242173081595295,0.4576062627276696,0.4547866390318322,0.4540983177569466,0.45557677834065635,0.4591551234813837,0.46466652016091436,0.47185142620606024,0.480369318794479,0.4898144206707041,0.4997347193812157,0.5096534047066352,0.51909171858199,0.527592127372615,0.5347406935362908,0.5401875451678367,0.5436644178007249,0.5449983705593473,0.544120953115633,0.5410723132650306,0.5359999775341192,0.5291522976054919,0.5208668208693429,0.5115541008971755,0.5016776999800203,0.4917313387321328,0.4822143061795526,0.473606348771389,0.46634330191218004,0.4607947093567983,0.4572445937342153,0.4558763984351695,0.45676292317630507,0.45986183177875445,0.465017032696727,0.47196593427546885,0.48035227267393216,0.4897439165634636,0.49965478465403407,0.5095697843640046,0.5189715053218069,0.5273672901537492,0.5343152643490804,0.5394479405087614,0.5424921197296904,0.5432839900597483,0.5417785608674451,0.5380528610978472,0.5323026542648579,0.524832766929134,0.5160414721865857,0.5063996967323802,0.4964261112893365,0.4866594030480208,0.47762920118410424,0.46982722173143726,0.46368020931796666,0.4595261781991679,0.4575952960377284,0.4579965180594053,0.4607107780639406,0.465591191680378,0.47237034475515877,0.4806743465529236,0.49004294530876513,0.49995465424506147,0.5098555397538334,0.5191900978126546,0.527432504010963,0.5341164764776497,0.5388620440199692,0.5413976628574221,0.5415763677812008,0.539384965320489,0.5349456606527115,0.5285099356820615,0.5204449391887112,0.5112130859180185,0.5013459645037075,0.49141400012097686,0.4819935854561801,0.4736335657795741,0.46682302865754344,0.461962300236373,0.4593388887199661,0.4591098489753013,0.4612916838658156,0.46575846741690907,0.47224839647023575,0.4803784786919732,0.4896665750974913,0.4995595641741766,0.5094660100825336,0.5187914237495818,0.5269740224296607,0.5335188337180468,0.5380280600568517,0.5402258176954441,0.5399756802341187,0.5372898742140416,0.5323294690609041,0.5253954471029966,0.5169110988019956,0.5073967294980903,0.49743815301383926,0.4876508530269034,0.4786419883809502,0.470972582941294,0.46512226145443003,0.46145876611672715,0.4602142193793947,0.46146970119363206,0.4651492061212344,0.47102346736210843,0.4787235160829558,0.4877632240915537,0.4975694954374273,0.5075182658955647,0.516974072406099,0.5253306949569011,0.5320502703929868,0.536698340784039,0.5389725272801476,0.5387229020849346,0.535962644285216,0.5308681787658402,0.5237686730546354,0.5151254615548218,0.5055026349475379,0.49553063008755727,0.485865141721283,0.4771440176160945,0.46994496795694285,0.4647469037491157,0.46189751514373906,0.46158931925967606,0.463845870508498,0.46851916782818215,0.4752985546928196,0.4837306376540755,0.49324899898442653,0.5032117999410227,0.5129448106772334,0.5217870012149404,0.5291356154443033,0.5344876447939212,0.537474824116272,0.5378896791120428,0.5357007378565318,0.5310557415762789,0.5242725042257586,0.5158179217575184,0.506276461701907,0.4963102135311972,0.4866131964401979,0.4778630580781048,0.4706735215389038,0.46555092901419726,0.4628579854231044,0.46278733719491283,0.4653469594158318,0.47035851235656684,0.4774689211504716,0.4861744931685175,0.4958559830667171,0.5058222110401511,0.5153591950875981,0.5237813223287988,0.5304808927594392,0.5349724394327574,0.5369285613968331,0.5362045802127239,0.5328501098990257,0.5271065603645252,0.5193906103389602,0.510264714438534,0.5003966748768902,0.49051113916437455,0.4813365171992388,0.4735511941918706,0.4677330171336932,0.46431583961730644,0.4635564320320348,0.46551433228491124,0.4700462766655379,0.47681577800405567,0.48531728719833694,0.49491326879336134,0.5048815255660225,0.514469298306481,0.5229501097942453,0.5296790630419621,0.5341423680636969,0.5359972593241581,0.535099153443717,0.5315138359929525,0.525513589318882,0.517557396812337,0.5082565899912841,0.49832844801008436,0.48854122446853787,0.47965478557189234,0.47236143715658613,0.46723155977021735,0.4646683516870978,0.46487531844505947,0.46783919048461897,0.4733297682537197,0.4809168763570211,0.49000325707413056,0.4998709555394648,0.5097376469562557,0.5188185211963687,0.5263888431832348,0.5318421939902793,0.5347396830974579,0.5348460904015907,0.5321498998702999,0.526865449678659,0.5194168483332188,0.510404779763274,0.5005587236486859,0.49067833485504714,0.4815686552705164,0.4739743917771978,0.46851863351010026,0.4656510815814756,0.46561014257470396,0.46840214601229535,0.47379956989234157,0.4813586066901017,0.4904548009863696,0.5003339716244626,0.5101743240497454,0.5191546749974131,0.5265231396470621,0.5316605254816478,0.5341330538502741,0.533729865688908,0.530481998817855,0.5246610528474883,0.5167574590474528,0.5074400046438668,0.49749987675511187,0.4877838506669402,0.47912222988357694,0.47225766101618283,0.4677809432593774,0.46607942192444524,0.4673025355827304,0.471347657224335,0.477867648813271,0.4862996805765994,0.4959130115870619,0.505871748711481,0.5153072464192818,0.5233939041131733,0.529421747207396,0.5328593842187107,0.533401705620975,0.5309979717938798,0.5258576216478618,0.518433077376198,0.5093808555640119,0.4995042407439575,0.4896824593302094,0.48079255509098356,0.4736308921279728,0.46884132416670815,0.4668565500768447,0.4678580618458371,0.4717584740766429,0.4782080420649453,0.48662500281399407,0.496247204578112,0.5062005233833576,0.5155779822202616,0.5235224410360778,0.5293053176310619,0.5323940784895637,0.5325021894145542,0.5296167612633926,0.5240011324340403,0.5161719182952198,0.5068524204269693,0.4969065067380179,0.4872589383038299,0.47880945054812446,0.4723485623649218,0.46848301428744654,0.46757792134664594,0.46972123321994885,0.4747140541298802,0.48208797219456195,0.4911480045981667,0.5010373202701831,0.5108177897189883,0.5195588385685815,0.5264262055851632,0.5307621219245873,0.5321491560484346,0.5304514506466614,0.5258291827592597,0.5187246125419198,0.5098208113736336,0.4999768152751509,0.4901452762404427,0.4812804509635912,0.47424539305462565,0.46972738986477375],"x":[0.0001,0.0100998998998999,0.0200997997997998,0.030099699699699698,0.0400995995995996,0.050099499499499496,0.0600993993993994,0.0700992992992993,0.0800991991991992,0.0900990990990991,0.100098998998999,0.1100988988988989,0.1200987987987988,0.1300986986986987,0.1400985985985986,0.1500984984984985,0.1600983983983984,0.1700982982982983,0.1800981981981982,0.1900980980980981,0.200097997997998,0.2100978978978979,0.22009779779779778,0.2300976976976977,0.2400975975975976,0.2500974974974975,0.2600973973973974,0.2700972972972973,0.2800971971971972,0.2900970970970971,0.300096996996997,0.3100968968968969,0.3200967967967968,0.3300966966966967,0.3400965965965966,0.3500964964964965,0.3600963963963964,0.3700962962962963,0.3800961961961962,0.3900960960960961,0.400095995995996,0.4100958958958959,0.4200957957957958,0.4300956956956957,0.4400955955955956,0.4500954954954955,0.4600953953953954,0.4700952952952953,0.48009519519519517,0.4900950950950951,0.500094994994995,0.5100948948948949,0.5200947947947948,0.5300946946946947,0.5400945945945946,0.5500944944944945,0.5600943943943943,0.5700942942942943,0.5800941941941942,0.5900940940940941,0.600093993993994,0.6100938938938939,0.6200937937937938,0.6300936936936937,0.6400935935935936,0.6500934934934935,0.6600933933933933,0.6700932932932933,0.6800931931931932,0.6900930930930931,0.700092992992993,0.7100928928928929,0.7200927927927928,0.7300926926926927,0.7400925925925926,0.7500924924924925,0.7600923923923923,0.7700922922922923,0.7800921921921922,0.7900920920920921,0.800091991991992,0.8100918918918919,0.8200917917917918,0.8300916916916917,0.8400915915915916,0.8500914914914915,0.8600913913913913,0.8700912912912913,0.8800911911911912,0.8900910910910911,0.900090990990991,0.9100908908908909,0.9200907907907908,0.9300906906906907,0.9400905905905906,0.9500904904904904,0.9600903903903903,0.9700902902902903,0.9800901901901902,0.9900900900900901,1.00008998998999,1.0100898898898898,1.0200897897897898,1.0300896896896896,1.0400895895895896,1.0500894894894894,1.0600893893893895,1.0700892892892893,1.0800891891891893,1.090089089089089,1.1000889889889889,1.110088888888889,1.1200887887887887,1.1300886886886887,1.1400885885885885,1.1500884884884885,1.1600883883883883,1.1700882882882884,1.1800881881881882,1.1900880880880882,1.200087987987988,1.2100878878878878,1.2200877877877878,1.2300876876876876,1.2400875875875876,1.2500874874874874,1.2600873873873875,1.2700872872872873,1.2800871871871873,1.290087087087087,1.3000869869869869,1.310086886886887,1.3200867867867867,1.3300866866866867,1.3400865865865865,1.3500864864864865,1.3600863863863863,1.3700862862862864,1.3800861861861862,1.3900860860860862,1.400085985985986,1.4100858858858858,1.4200857857857858,1.4300856856856856,1.4400855855855856,1.4500854854854854,1.4600853853853855,1.4700852852852853,1.4800851851851853,1.490085085085085,1.5000849849849849,1.510084884884885,1.5200847847847847,1.5300846846846847,1.5400845845845845,1.5500844844844845,1.5600843843843843,1.5700842842842844,1.5800841841841842,1.5900840840840842,1.600083983983984,1.6100838838838838,1.6200837837837838,1.6300836836836836,1.6400835835835836,1.6500834834834834,1.6600833833833835,1.6700832832832833,1.6800831831831833,1.690083083083083,1.7000829829829829,1.710082882882883,1.7200827827827827,1.7300826826826827,1.7400825825825825,1.7500824824824825,1.7600823823823823,1.7700822822822824,1.7800821821821822,1.790082082082082,1.800081981981982,1.8100818818818818,1.8200817817817818,1.8300816816816816,1.8400815815815816,1.8500814814814814,1.8600813813813815,1.8700812812812813,1.8800811811811813,1.890081081081081,1.9000809809809809,1.910080880880881,1.9200807807807807,1.9300806806806807,1.9400805805805805,1.9500804804804805,1.9600803803803803,1.9700802802802804,1.9800801801801802,1.99008008008008,2.0000799799799798,2.01007987987988,2.02007977977978,2.03007967967968,2.0400795795795794,2.0500794794794794,2.0600793793793795,2.0700792792792795,2.080079179179179,2.090079079079079,2.100078978978979,2.1100788788788787,2.1200787787787787,2.1300786786786787,2.1400785785785787,2.1500784784784783,2.1600783783783783,2.1700782782782784,2.1800781781781784,2.190078078078078,2.200077977977978,2.210077877877878,2.2200777777777776,2.2300776776776776,2.2400775775775776,2.2500774774774777,2.2600773773773772,2.2700772772772773,2.2800771771771773,2.290077077077077,2.300076976976977,2.310076876876877,2.320076776776777,2.3300766766766765,2.3400765765765765,2.3500764764764766,2.3600763763763766,2.370076276276276,2.380076176176176,2.390076076076076,2.4000759759759758,2.410075875875876,2.420075775775776,2.430075675675676,2.4400755755755754,2.4500754754754754,2.4600753753753755,2.4700752752752755,2.480075175175175,2.490075075075075,2.500074974974975,2.5100748748748747,2.5200747747747747,2.5300746746746747,2.5400745745745748,2.5500744744744743,2.5600743743743744,2.5700742742742744,2.5800741741741744,2.590074074074074,2.600073973973974,2.610073873873874,2.6200737737737736,2.6300736736736736,2.6400735735735736,2.6500734734734737,2.6600733733733732,2.6700732732732733,2.6800731731731733,2.690073073073073,2.700072972972973,2.710072872872873,2.720072772772773,2.7300726726726725,2.7400725725725725,2.7500724724724726,2.7600723723723726,2.770072272272272,2.780072172172172,2.790072072072072,2.8000719719719718,2.810071871871872,2.820071771771772,2.830071671671672,2.8400715715715714,2.8500714714714714,2.8600713713713715,2.8700712712712715,2.880071171171171,2.890071071071071,2.900070970970971,2.9100708708708707,2.9200707707707707,2.9300706706706707,2.9400705705705708,2.9500704704704703,2.9600703703703704,2.9700702702702704,2.98007017017017,2.99007007007007,3.00006996996997,3.01006986986987,3.0200697697697696,3.0300696696696696,3.0400695695695696,3.0500694694694697,3.0600693693693692,3.0700692692692693,3.0800691691691693,3.090069069069069,3.100068968968969,3.110068868868869,3.120068768768769,3.1300686686686685,3.1400685685685685,3.1500684684684686,3.1600683683683686,3.170068268268268,3.180068168168168,3.190068068068068,3.2000679679679678,3.210067867867868,3.220067767767768,3.230067667667668,3.2400675675675674,3.2500674674674674,3.2600673673673675,3.2700672672672675,3.280067167167167,3.290067067067067,3.300066966966967,3.3100668668668667,3.3200667667667667,3.3300666666666667,3.3400665665665668,3.3500664664664663,3.3600663663663664,3.3700662662662664,3.380066166166166,3.390066066066066,3.400065965965966,3.410065865865866,3.4200657657657656,3.4300656656656656,3.4400655655655656,3.4500654654654657,3.4600653653653652,3.4700652652652653,3.4800651651651653,3.490065065065065,3.500064964964965,3.510064864864865,3.520064764764765,3.5300646646646645,3.5400645645645645,3.5500644644644646,3.5600643643643646,3.570064264264264,3.580064164164164,3.590064064064064,3.6000639639639638,3.610063863863864,3.620063763763764,3.630063663663664,3.6400635635635634,3.6500634634634634,3.6600633633633635,3.670063263263263,3.680063163163163,3.690063063063063,3.700062962962963,3.7100628628628627,3.7200627627627627,3.7300626626626627,3.7400625625625628,3.7500624624624623,3.7600623623623624,3.7700622622622624,3.780062162162162,3.790062062062062,3.800061961961962,3.810061861861862,3.8200617617617616,3.8300616616616616,3.8400615615615616,3.8500614614614617,3.8600613613613612,3.8700612612612613,3.8800611611611613,3.890061061061061,3.900060960960961,3.910060860860861,3.920060760760761,3.9300606606606605,3.9400605605605605,3.9500604604604606,3.9600603603603606,3.97006026026026,3.98006016016016,3.99006006006006,4.00005995995996,4.01005985985986,4.02005975975976,4.03005965965966,4.04005955955956,4.05005945945946,4.060059359359359,4.070059259259259,4.080059159159159,4.090059059059059,4.100058958958959,4.110058858858859,4.120058758758759,4.130058658658658,4.140058558558558,4.150058458458458,4.160058358358358,4.170058258258258,4.180058158158158,4.190058058058058,4.2000579579579576,4.210057857857858,4.220057757757758,4.230057657657658,4.240057557557558,4.250057457457458,4.260057357357358,4.270057257257257,4.280057157157157,4.290057057057057,4.300056956956957,4.310056856856857,4.320056756756757,4.330056656656657,4.340056556556557,4.350056456456456,4.360056356356356,4.370056256256256,4.380056156156156,4.390056056056056,4.400055955955956,4.410055855855856,4.420055755755755,4.430055655655655,4.440055555555555,4.4500554554554554,4.4600553553553555,4.4700552552552555,4.4800551551551555,4.490055055055055,4.500054954954955,4.510054854854855,4.520054754754755,4.530054654654655,4.540054554554555,4.550054454454455,4.560054354354354,4.570054254254254,4.580054154154154,4.590054054054054,4.600053953953954,4.610053853853854,4.620053753753754,4.630053653653654,4.640053553553553,4.650053453453453,4.660053353353353,4.670053253253253,4.680053153153153,4.690053053053053,4.700052952952953,4.7100528528528525,4.7200527527527525,4.7300526526526525,4.7400525525525525,4.750052452452453,4.760052352352353,4.770052252252253,4.780052152152152,4.790052052052052,4.800051951951952,4.810051851851852,4.820051751751752,4.830051651651652,4.840051551551552,4.850051451451452,4.860051351351351,4.870051251251251,4.880051151151151,4.890051051051051,4.900050950950951,4.910050850850851,4.920050750750751,4.93005065065065,4.94005055055055,4.95005045045045,4.96005035035035,4.97005025025025,4.98005015015015,4.99005005005005,5.00004994994995,5.01004984984985,5.02004974974975,5.03004964964965,5.04004954954955,5.05004944944945,5.06004934934935,5.070049249249249,5.080049149149149,5.090049049049049,5.100048948948949,5.110048848848849,5.120048748748749,5.130048648648649,5.140048548548549,5.150048448448448,5.160048348348348,5.170048248248248,5.180048148148148,5.190048048048048,5.200047947947948,5.210047847847848,5.220047747747747,5.230047647647647,5.240047547547547,5.2500474474474474,5.2600473473473475,5.2700472472472475,5.2800471471471475,5.290047047047047,5.300046946946947,5.310046846846847,5.320046746746747,5.330046646646647,5.340046546546547,5.350046446446447,5.360046346346346,5.370046246246246,5.380046146146146,5.390046046046046,5.400045945945946,5.410045845845846,5.420045745745746,5.430045645645646,5.440045545545545,5.450045445445445,5.460045345345345,5.470045245245245,5.480045145145145,5.490045045045045,5.500044944944945,5.5100448448448445,5.5200447447447445,5.5300446446446445,5.5400445445445445,5.550044444444445,5.560044344344345,5.570044244244245,5.580044144144144,5.590044044044044,5.600043943943944,5.610043843843844,5.620043743743744,5.630043643643644,5.640043543543544,5.650043443443443,5.660043343343343,5.670043243243243,5.680043143143143,5.690043043043043,5.700042942942943,5.710042842842843,5.720042742742743,5.730042642642642,5.740042542542542,5.750042442442442,5.760042342342342,5.770042242242242,5.780042142142142,5.790042042042042,5.800041941941942,5.810041841841842,5.820041741741742,5.830041641641642,5.840041541541542,5.850041441441442,5.860041341341342,5.870041241241241,5.880041141141141,5.890041041041041,5.900040940940941,5.910040840840841,5.920040740740741,5.930040640640641,5.940040540540541,5.95004044044044,5.96004034034034,5.97004024024024,5.98004014014014,5.99004004004004,6.00003993993994,6.01003983983984,6.020039739739739,6.030039639639639,6.040039539539539,6.0500394394394394,6.0600393393393395,6.0700392392392395,6.0800391391391395,6.090039039039039,6.100038938938939,6.110038838838839,6.120038738738739,6.130038638638639,6.140038538538539,6.150038438438439,6.160038338338338,6.170038238238238,6.180038138138138,6.190038038038038,6.200037937937938,6.210037837837838,6.220037737737738,6.230037637637638,6.240037537537537,6.250037437437437,6.260037337337337,6.270037237237237,6.280037137137137,6.290037037037037,6.300036936936937,6.3100368368368365,6.3200367367367365,6.3300366366366365,6.3400365365365365,6.350036436436437,6.360036336336337,6.370036236236237,6.380036136136136,6.390036036036036,6.400035935935936,6.410035835835836,6.420035735735736,6.430035635635636,6.440035535535536,6.450035435435435,6.460035335335335,6.470035235235235,6.480035135135135,6.490035035035035,6.500034934934935,6.510034834834835,6.520034734734735,6.530034634634634,6.540034534534534,6.550034434434434,6.560034334334334,6.570034234234234,6.580034134134134,6.590034034034034,6.600033933933934,6.610033833833834,6.620033733733734,6.630033633633634,6.640033533533534,6.650033433433434,6.660033333333334,6.670033233233233,6.680033133133133,6.690033033033033,6.700032932932933,6.710032832832833,6.720032732732733,6.730032632632633,6.740032532532532,6.750032432432432,6.760032332332332,6.770032232232232,6.780032132132132,6.790032032032032,6.800031931931932,6.810031831831832,6.820031731731731,6.830031631631631,6.840031531531531,6.8500314314314315,6.8600313313313315,6.8700312312312315,6.8800311311311315,6.890031031031031,6.900030930930931,6.910030830830831,6.920030730730731,6.930030630630631,6.940030530530531,6.950030430430431,6.96003033033033,6.97003023023023,6.98003013013013,6.99003003003003,7.00002992992993,7.01002982982983,7.02002972972973,7.03002962962963,7.040029529529529,7.050029429429429,7.060029329329329,7.070029229229229,7.080029129129129,7.090029029029029,7.100028928928929,7.1100288288288285,7.1200287287287285,7.1300286286286285,7.1400285285285285,7.150028428428429,7.160028328328329,7.170028228228229,7.180028128128128,7.190028028028028,7.200027927927928,7.210027827827828,7.220027727727728,7.230027627627628,7.240027527527528,7.250027427427427,7.260027327327327,7.270027227227227,7.280027127127127,7.290027027027027,7.300026926926927,7.310026826826827,7.320026726726727,7.330026626626626,7.340026526526526,7.350026426426426,7.360026326326326,7.370026226226226,7.380026126126126,7.390026026026026,7.400025925925926,7.410025825825826,7.420025725725726,7.430025625625626,7.440025525525526,7.450025425425426,7.460025325325326,7.470025225225225,7.480025125125125,7.490025025025025,7.500024924924925,7.510024824824825,7.520024724724725,7.530024624624625,7.540024524524524,7.550024424424424,7.560024324324324,7.570024224224224,7.580024124124124,7.590024024024024,7.600023923923924,7.610023823823824,7.620023723723723,7.630023623623623,7.640023523523523,7.6500234234234235,7.6600233233233235,7.6700232232232235,7.6800231231231235,7.690023023023023,7.700022922922923,7.710022822822823,7.720022722722723,7.730022622622623,7.740022522522523,7.750022422422423,7.760022322322322,7.770022222222222,7.780022122122122,7.790022022022022,7.800021921921922,7.810021821821822,7.820021721721722,7.830021621621621,7.840021521521521,7.850021421421421,7.860021321321321,7.870021221221221,7.880021121121121,7.890021021021021,7.900020920920921,7.9100208208208205,7.9200207207207205,7.9300206206206205,7.9400205205205205,7.950020420420421,7.960020320320321,7.970020220220221,7.98002012012012,7.99002002002002,8.00001991991992,8.01001981981982,8.02001971971972,8.030019619619619,8.04001951951952,8.050019419419419,8.06001931931932,8.070019219219219,8.08001911911912,8.090019019019019,8.100018918918918,8.11001881881882,8.120018718718718,8.13001861861862,8.140018518518518,8.15001841841842,8.160018318318318,8.170018218218217,8.180018118118118,8.190018018018018,8.200017917917918,8.210017817817818,8.220017717717718,8.230017617617618,8.240017517517517,8.250017417417418,8.260017317317317,8.270017217217218,8.280017117117117,8.290017017017018,8.300016916916917,8.310016816816816,8.320016716716717,8.330016616616616,8.340016516516517,8.350016416416416,8.360016316316317,8.370016216216216,8.380016116116115,8.390016016016016,8.400015915915915,8.410015815815816,8.420015715715715,8.430015615615616,8.440015515515515,8.450015415415415,8.460015315315315,8.470015215215215,8.480015115115116,8.490015015015015,8.500014914914916,8.510014814814815,8.520014714714714,8.530014614614615,8.540014514514514,8.550014414414415,8.560014314314314,8.570014214214215,8.580014114114114,8.590014014014015,8.600013913913914,8.610013813813813,8.620013713713714,8.630013613613613,8.640013513513514,8.650013413413413,8.660013313313314,8.670013213213213,8.680013113113112,8.690013013013013,8.700012912912912,8.710012812812813,8.720012712712712,8.730012612612613,8.740012512512513,8.750012412412412,8.760012312312313,8.770012212212212,8.780012112112113,8.790012012012012,8.800011911911913,8.810011811811812,8.820011711711711,8.830011611611612,8.840011511511511,8.850011411411412,8.860011311311311,8.870011211211212,8.880011111111111,8.89001101101101,8.900010910910911,8.91001081081081,8.920010710710711,8.93001061061061,8.940010510510511,8.95001041041041,8.96001031031031,8.97001021021021,8.98001011011011,8.99001001001001,9.00000990990991,9.01000980980981,9.02000970970971,9.030009609609609,9.04000950950951,9.050009409409409,9.06000930930931,9.070009209209209,9.08000910910911,9.090009009009009,9.10000890890891,9.110008808808809,9.120008708708708,9.130008608608609,9.140008508508508,9.150008408408409,9.160008308308308,9.170008208208209,9.180008108108108,9.190008008008007,9.200007907907908,9.210007807807807,9.220007707707708,9.230007607607607,9.240007507507508,9.250007407407407,9.260007307307307,9.270007207207208,9.280007107107107,9.290007007007008,9.300006906906907,9.310006806806808,9.320006706706707,9.330006606606606,9.340006506506507,9.350006406406406,9.360006306306307,9.370006206206206,9.380006106106107,9.390006006006006,9.400005905905905,9.410005805805806,9.420005705705705,9.430005605605606,9.440005505505505,9.450005405405406,9.460005305305305,9.470005205205204,9.480005105105105,9.490005005005004,9.500004904904905,9.510004804804804,9.520004704704705,9.530004604604605,9.540004504504504,9.550004404404405,9.560004304304304,9.570004204204205,9.580004104104104,9.590004004004005,9.600003903903904,9.610003803803803,9.620003703703704,9.630003603603603,9.640003503503504,9.650003403403403,9.660003303303304,9.670003203203203,9.680003103103104,9.690003003003003,9.700002902902902,9.710002802802803,9.720002702702702,9.730002602602603,9.740002502502502,9.750002402402403,9.760002302302302,9.770002202202202,9.780002102102102,9.790002002002002,9.800001901901902,9.810001801801802,9.820001701701703,9.830001601601602,9.8400015015015,9.850001401401402,9.8600013013013,9.870001201201202,9.8800011011011,9.890001001001002,9.900000900900901,9.9100008008008,9.920000700700701,9.9300006006006,9.940000500500501,9.9500004004004,9.960000300300301,9.9700002002002,9.9800001001001,9.99]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.js b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.js index 3cb3243674c1..b62bd36fef82 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.js @@ -31,10 +31,10 @@ var fresnelc = require( './../lib' ); // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -56,7 +56,7 @@ tape( 'the function computes the Fresnel integral C(x) (small positive values)', for ( i = 0; i < x.length; i++ ) { y = fresnelc( x[i] ); - t.strictEqual( isAlmostSameValue( y, C[ i ], 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, C[ i ], 5 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.native.js index 4454675a230b..44d23597221a 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelc/test/test.native.js @@ -40,10 +40,10 @@ var opts = { // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -65,7 +65,7 @@ tape( 'the function computes the Fresnel integral C(x) (small positive values)', for ( i = 0; i < x.length; i++ ) { y = fresnelc( x[i] ); - t.strictEqual( isAlmostSameValue( y, C[ i ], 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, C[ i ], 5 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/lib/main.js b/lib/node_modules/@stdlib/math/base/special/fresnels/lib/main.js index 690f06319a7c..2f362fc57fc5 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/lib/main.js @@ -36,6 +36,7 @@ var sincos = require( '@stdlib/math/base/special/sincos' ).assign; var abs = require( '@stdlib/math/base/special/abs' ); +var fmod = require( '@stdlib/math/base/special/fmod' ); var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); var PI = require( '@stdlib/constants/float64/pi' ); var polyS = require( './rational_psqs.js' ); @@ -101,6 +102,8 @@ var sc = [ 0.0, 0.0 ]; */ function fresnels( x ) { var x2; + var hi; + var lo; var xa; var S; var f; @@ -113,7 +116,8 @@ function fresnels( x ) { if ( x2 < 2.5625 ) { t = x2 * x2; S = xa * x2 * polyS( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: S = 0.5; } else { // Asymptotic power series auxiliary functions for large arguments... @@ -123,8 +127,13 @@ function fresnels( x ) { t = 1.0 / t; f = 1.0 - ( u * polyF( u ) ); g = t * polyG( u ); - t = HALF_PI * x2; - sincos( t, sc, 1, 0 ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = fmod( hi*hi, 4.0 ) + fmod( 2.0*hi*lo, 4.0 ) + ( lo*lo ); + sincos( HALF_PI * t, sc, 1, 0 ); t = PI * xa; S = 0.5 - ( ( (f*sc[1]) + (g*sc[0]) ) / t ); } diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/manifest.json b/lib/node_modules/@stdlib/math/base/special/fresnels/manifest.json index cf30e3fbc204..fd0897a47c96 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/manifest.json @@ -38,6 +38,7 @@ "dependencies": [ "@stdlib/math/base/napi/unary", "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -55,6 +56,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" @@ -72,6 +74,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/abs", + "@stdlib/math/base/special/fmod", "@stdlib/math/base/special/sincos", "@stdlib/constants/float64/pi", "@stdlib/constants/float64/half-pi" diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/src/main.c b/lib/node_modules/@stdlib/math/base/special/fresnels/src/main.c index 43ac9f9c0809..31e3f9a7e402 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/src/main.c @@ -32,6 +32,7 @@ #include "stdlib/math/base/special/fresnels.h" #include "stdlib/math/base/special/abs.h" +#include "stdlib/math/base/special/fmod.h" #include "stdlib/math/base/special/sincos.h" #include "stdlib/constants/float64/pi.h" #include "stdlib/constants/float64/half_pi.h" @@ -197,6 +198,8 @@ static double rational_pgqg( const double x ) { */ double stdlib_base_fresnels( const double x ) { double x2; + double hi; + double lo; double xa; double S; double f; @@ -211,7 +214,8 @@ double stdlib_base_fresnels( const double x ) { if ( x2 < 2.5625 ) { t = x2 * x2; S = xa * x2 * rational_psqs( t ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 1.0e16 ) { + // Above `1e16`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: S = 0.5; } else { // Asymptotic power series auxiliary functions for large arguments... @@ -221,8 +225,13 @@ double stdlib_base_fresnels( const double x ) { t = 1.0 / t; f = 1.0 - ( u * rational_pfqf( u ) ); g = t * rational_pgqg( u ); - t = STDLIB_CONSTANT_FLOAT64_HALF_PI * x2; - stdlib_base_sincos( t, &s, &c ); + + // `sin( π x^2 / 2 )` and `cos( π x^2 / 2 )` have period 4 in `x^2`, and forming `x*x` rounds away bits that the large argument turns into whole radians. Reduce `x^2` modulo 4 exactly instead: split `x = hi + lo` (Veltkamp, with `134217729 = 2^27+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 134217729.0 * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = stdlib_base_fmod( hi * hi, 4.0 ) + stdlib_base_fmod( 2.0 * hi * lo, 4.0 ) + ( lo * lo ); + stdlib_base_sincos( STDLIB_CONSTANT_FLOAT64_HALF_PI * t, &s, &c ); t = STDLIB_CONSTANT_FLOAT64_PI * xa; S = 0.5 - ( ( ( f * c ) + ( g * s ) ) / t ); } diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/Makefile deleted file mode 100644 index 251fb942f599..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/Makefile +++ /dev/null @@ -1,123 +0,0 @@ -#/ -# @license Apache-2.0 -# -# Copyright (c) 2018 The Stdlib Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. -#/ - - -# VARIABLES # - -ifndef VERBOSE - QUIET := @ -endif - -# Specify the path to Cephes: -CEPHES ?= - -# Specify a list of Cephes source files: -CEPHES_SRC ?= - -# Determine the OS: -# -# [1]: https://en.wikipedia.org/wiki/Uname#Examples -# [2]: http://stackoverflow.com/a/27776822/2225624 -OS ?= $(shell uname) -ifneq (, $(findstring MINGW,$(OS))) - OS := WINNT -else -ifneq (, $(findstring MSYS,$(OS))) - OS := WINNT -else -ifneq (, $(findstring CYGWIN,$(OS))) - OS := WINNT -endif -endif -endif - -# Define the program used for compiling C source files: -ifdef C_COMPILER - CC := $(C_COMPILER) -else - CC := gcc -endif - -# Define the command-line options when compiling C files: -CFLAGS ?= \ - -std=c99 \ - -O3 \ - -Wall \ - -pedantic - -# Determine whether to generate [position independent code][1]: -# -# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options -# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option -ifeq ($(OS), WINNT) - fPIC ?= -else - fPIC ?= -fPIC -endif - -# List of C targets: -c_targets := runner.out - - -# TARGETS # - -# Default target. -# -# This target is the default target. - -all: $(c_targets) - -.PHONY: all - - -# Compile C source. -# -# This target compiles C source files. - -$(c_targets): %.out: %.c - $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $(CEPHES_SRC) $< -lm - - -# Generate test fixtures. -# -# This target generates test fixtures. - -run: $(c_targets) - $(QUIET) ./$< - -.PHONY: run - - -# Perform clean-up. -# -# This target removes generated files. - -clean: - $(QUIET) -rm -f *.o *.out - -.PHONY: clean - - -# Remove fixtures. -# -# This target removes fixture data. - -clean-fixtures: - $(QUIET) -rm -f *.json - -.PHONY: clean-fixtures diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/huge.json deleted file mode 100644 index 86171aac5258..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/huge.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[41170.953782275319,40220.227865502238,41369.737219065428,41173.451552167535,42200.246462598443,59542.314102873206,47673.279931768775,44815.873289480805,40382.413994520903,47232.008902356029,48373.678494244814,56414.518300443888,58809.204017743468,46292.073419317603,50878.007709980011,46675.666766241193,57931.392453610897,52913.108170032501,50609.114794060588,47392.426803708076,44517.347775399685,43064.096495509148,58269.823994487524,40932.018337771297,44432.210214436054,52157.108709216118,44526.170939207077,51355.010671541095,43664.445457980037,48334.840945899487,43671.842962503433,52664.699526503682,55605.041058734059,53925.196267664433,40773.77961948514,44914.07074034214,50786.97138465941,56628.146385774016,49256.435837596655,52917.194925248623,59295.209739357233,54590.240381658077,58170.20870745182,46697.888346388936,51409.49017368257,59301.438368856907,59274.816429242492,51839.877124875784,52814.930444583297,40536.082405596972,49936.995059251785,51076.038610190153,54981.00814409554,45803.995057940483,47744.984226301312,49949.952056631446,48844.293672591448,46043.824460357428,58557.752519845963,40146.746290847659,46364.911422133446,55066.321603953838,59667.315557599068,48572.730487212539,41881.365673616529,40112.89119720459,57362.352292984724,49055.124074220657,49470.386290922761,48782.465653494,46900.307005271316,53459.891593083739,40398.110300302505,51039.820294827223,46259.781559929252,48148.726718500257,55650.021601468325,49913.178356364369,50788.712995126843,45899.39353056252,51107.11432993412,57270.630123093724,47480.613999068737,46679.540891200304,43043.810678645968,57326.099816709757,59759.755032137036,42202.979773283005,45481.06680624187,40289.855403825641,51599.774360656738,57407.770333811641,52396.136606112123,41868.035942316055,56080.097118392587,58192.394664511085,59577.268809080124,55157.02742151916,44159.992095082998,56987.174609676003,43443.797770887613,59909.162251278758,53290.113052353263,46930.174911394715,55449.790041893721,44621.355021372437,51113.88036981225,50987.462410703301,46280.822679400444,41786.821838468313,51114.653116092086,43975.009145215154,47978.73473726213,58594.791600480676,42662.574807181954,49894.805140793324,41990.078752860427,47253.614896908402,51505.629103630781,55108.4347628057,47463.176716119051,53611.126216128469,42198.420995846391,48861.694391816854,58497.7126121521,51056.017205119133,58481.252957135439,54418.595209717751,53329.802565276623,53991.818921640515,40500.725517049432,55693.76896135509,45175.056317821145,57171.574113890529,42646.266547963023,55801.892317831516,42404.309464618564,49229.190656915307,55007.442999631166,50094.612250104547,40148.166511207819,50234.555024653673,52166.379448026419,40339.478198438883,45610.083816573024,48678.749045357108,43735.273238271475,58737.344853579998,58555.100755766034,55578.547371551394,48645.795583724976,49886.443326249719,41453.06165330112,41607.218403369188,52519.717998802662,58900.503851473331,40768.37963424623,54156.518783420324,48611.303735524416,50181.950349360704,48039.601389318705,41580.613199621439,45366.058405488729,47343.663042411208,44944.811277091503,47443.172773346305,57404.859876260161,43480.07651977241,49646.095046773553,41919.526616111398,41483.852006494999,59100.684765726328,45209.007048979402,47781.512960791588,43888.392923399806,52219.894006848335,59758.668728172779,43945.469036698341,51498.130662366748,49082.132382318377,43399.02070350945,47340.990481898189,40027.086716145277,55246.438458561897,46891.292370855808,41950.930906459689,49295.760132372379,53840.617528185248,59258.904522284865,44408.456766977906,52932.917093858123,43537.697689607739,58085.096916183829,56224.011834710836,56967.032952234149,44922.960987314582,40205.352324992418,51356.527749449015,49161.973865702748,45294.832568615675,50251.022158190608,48929.492933675647,57987.806163728237,41058.334559202194,47428.944790735841,58275.15603043139,50547.546483576298,52613.832009956241,40674.690054729581,59515.755111351609,41296.309223398566,47069.127801805735,50831.020269542933,56957.754967734218,48987.875422462821,59222.295666113496,49123.410806059837,57165.488842874765,40371.116539463401,57355.681657791138,56941.758319735527,40132.212387397885,42093.596030026674,47068.493040278554,40162.583282217383,52537.225494161248,53148.978482931852,54881.465537473559,52791.404780000448,45140.237575396895,51972.96991944313,49705.529781058431,40839.106207713485,42858.039606362581,55071.686496958137,49835.072327405214,58060.683663934469,45910.481093451381,57455.783886834979,59359.922641888261,42219.993732869625,51434.68570895493,42762.799896299839,54377.878727391362,49007.883789017797,55502.912513911724,57450.742637738585,54631.649041548371,54125.55580958724,48216.60228073597,56434.596627950668,56265.65458253026,56856.695879250765,50487.774489447474,48025.926221162081,51742.061879485846,48834.100412204862,54725.697059184313,54790.588952600956,45428.642118349671,59188.12558054924,54826.782457530499,53732.879748567939,48510.0416559726,48270.178530365229,56890.62456600368,40727.213015779853,42269.161902368069,57804.11085113883,53691.214425489306,48240.956347435713,45753.395846113563,57324.030650779605,44983.283234760165,54041.36560857296,53231.893172487617,48428.653553128242,40380.333391949534,52263.321466743946,49643.987538293004,46498.631564900279,42500.762138515711,50309.281600639224,48095.942623913288,48507.743468508124,49644.541796296835,55814.045835286379,46668.477421626449,57100.077457726002,41001.965831965208,40039.745680987835,48005.660669878125,51138.941291719675,52186.377104371786,56440.088544040918,48568.288357928395,47222.498757764697,48536.678273230791,55951.804993674159,41986.65352538228,49685.816643759608,49520.407468080521,49488.390535116196,51379.797952249646,40264.272522181273,41628.282368183136,46541.774794459343,47609.021672978997,44827.317306771874,52722.012689337134,58867.369247600436,43875.092081725597,48672.647885978222,41193.087510764599,52221.80275246501,51838.956326246262,57339.067868888378,57713.808100670576,55972.88659773767,56305.173179134727,41045.749327167869,55908.949887380004,41720.881704241037,42858.816646039486,48131.392356008291,44311.39106862247,41549.724079668522,46212.619114667177,55489.508826285601,52174.964603036642,44630.178520455956,59410.42953170836,51089.291330426931,57719.477266073227,51254.549566656351,55214.654868468642,52704.493422061205,44421.044010668993,44486.721912398934,48335.216799750924,49988.81864361465,42075.021406635642,54884.797558188438,48792.676962912083,58521.784469485283,55631.723590195179,42378.502748906612,55495.719481259584,56557.442797347903,40941.224610432982,59162.034904584289,56320.791309699416,43539.669848978519,51231.179479509592,42433.600015938282,41515.486920252442,50788.680538535118,45353.895593434572,42923.280755057931,51579.673131927848,59566.418929025531,52803.093260154128,41588.523611426353,58316.349666565657,42888.989318162203,55243.492955341935,57386.219725012779,50195.054356008768,48278.641225770116,59123.146301135421,42720.032846555114,55592.073332518339,55976.62165760994,59080.324480310082,43013.689899817109,51086.169807240367,45256.03705085814,58214.754899963737,55385.7462387532,48237.155135720968,41866.430528461933,49097.906462848186,48513.992289081216,54668.469214811921,52962.208138778806,55832.289895042777,53296.389887109399,52424.936704337597,45911.287041381001,51001.350749284029,59702.129308134317,53687.436003237963,44737.013541162014,54986.623376607895,40179.207939654589,51947.843171656132,47400.279529392719,56498.10841307044,43708.227593451738,44181.192163378,53296.722611412406,58017.034064978361,52291.671093553305,46116.165546700358,54394.391253590584,46533.911749720573,55454.828683286905,49305.800953879952,42596.704689785838,42815.741552039981,44168.287171050906,56402.516467496753,57094.397582113743,45540.29637016356,55761.136692017317,57424.506079405546,53673.812933266163,55774.076413363218,54902.402842417359,44684.68913808465,55570.380445569754,51384.270545095205,55435.140505433083,58406.595606356859,59652.50008739531,59569.122651591897,58244.55845169723,56294.040456414223,53938.078470528126,57284.963242709637,48377.355495467782,58213.877882808447,40645.718909800053,52597.722057253122,49914.714843034744,56612.444473430514,45354.394959285855,51316.122617572546,50072.92210124433,55601.834440603852,40031.565334647894,50518.579669296741,45768.584189936519,52594.525404274464,56188.568202778697,41265.910798683763,56162.803377956152,48236.499801278114,50852.224538102746,53337.896820157766,50031.960774213076,47164.810709655285,58973.653241991997,50190.186649560928,46467.098919674754,52531.593581661582,58493.425054475665,58995.035300031304,49558.436283841729,48638.697331771255,50586.122684180737,40964.035876095295,42550.977077335119,54271.758729591966,45449.079945683479,42686.689747497439,55194.607209414244,55763.487536460161,56935.148648917675,49043.474895879626,53682.645820081234,44228.405188769102,46806.040732190013,49126.639179885387,51424.767756834626,56071.77852652967,58381.821159273386,43268.36776919663,51457.122461870313,59857.306312769651,41747.354129329324,47780.865309759974,53003.322025761008,46833.388730883598,48764.453437179327,44168.987264856696,48168.993070721626,56266.603544354439,52805.897267535329,48715.475685894489,40999.921038746834,45672.906041145325,44531.877925619483,47272.331351414323,46073.080133646727,50257.853725925088,43747.651902958751,46785.562355071306,44946.554787456989,56746.35149538517,55929.713994264603,50703.226272016764,49124.037548899651,47699.155760928988,59710.934180766344,41670.930404216051,43327.316734939814,42212.390173226595,43641.658732667565,45358.348442241549,57762.310681864619,51155.769107863307,55011.48316077888,57997.600687667727,45674.89848472178,58018.877124413848,43267.971044406295,44789.368910714984,54923.319863155484,56237.056842073798,56214.471803978086,56627.73635238409,42365.0046531111,48633.223343640566,58584.804125130177,54803.076507523656,55306.977797299623,44375.959010794759,46743.128672242165,51763.647142797709,51617.621062323451,57357.2853859514,43895.617527887225,53643.821682780981,51711.12927608192,48949.834760278463,59872.886035591364,43595.755714923143,53866.328848525882,51389.065692201257,56027.177954092622,48779.999865218997,45457.803448662162,49302.6043754071,48871.810268610716,48515.253970399499,55873.54714050889,46706.914762035012,43116.45801179111,58309.828555211425,53288.670731708407,42689.091823995113,55566.306924447417,42920.601014047861,46541.265957057476,59056.991450488567,50855.457503348589,47674.34373497963,42695.213863626122,58459.427049383521,47590.563455596566,54600.057611241937,43168.386407196522,51070.37054374814,59717.815406620502,57323.693381622434,59314.800500869751,43852.169280871749,43409.13375839591,57311.104033142328,47725.620502606034,44503.847761079669,56169.355707243085,58361.498173326254,41699.942797422409,50938.609577715397,45211.258269846439,45617.782091721892,58063.659528270364,55925.833005458117,45475.447373464704,45844.048671424389,40926.066366955638,44397.436669096351,47718.13191473484,58643.15134473145,55444.796802476048,40699.980091303587,44565.400015562773,50678.097289055586,46781.22072480619,51976.774884387851,53655.575634911656,49259.802829474211,49506.227439269423,51164.646195247769,44208.690905943513,55468.089124187827,52174.031278118491,48943.786611780524,58221.654184162617,51342.015825212002,45260.063102468848,45880.604358389974,55317.497476935387,41180.214732885361,55869.024833664298,50700.503587722778,43363.882601261139,56774.90571513772,55840.485598891973,51041.584545746446,55911.54676862061,45366.664733737707,57534.221922978759,57667.996725067496,46021.096482872963,56568.634761497378,49044.56615447998,52023.429125547409,57773.407166823745,57654.391899704933,57364.796502515674,50134.953679516912,58166.570952162147,45558.135164901614,55577.759994193912,55412.344327196479,55271.227806806564,43525.868514552712,59272.151673212647,47053.32251265645,45191.525416448712,53967.714877799153,55384.060479700565,59904.602719470859,56658.061919733882,52046.815333887935,50825.410932302475,42681.623930111527,50053.414367139339,47735.34718900919,47980.266213417053,44334.311354905367,46770.975813269615,59790.546605363488,59716.951223090291,42799.360789358616,48856.80865496397,56383.133288472891,51321.307579055429,57216.569781303406,58888.449100777507,58164.184587076306,45450.497148558497,46505.618477240205,59929.797882214189,40113.162351772189,41919.647119939327,43509.159842506051,58449.500454589725,40754.284681752324,57262.652106583118,53394.090440124273,54478.131989017129,53964.452715590596,40556.900221854448,59822.033056989312,48909.743949770927,46066.633528098464,41909.754229709506,57239.353666082025,41817.200761288404,41693.209195509553,57766.962172463536,49333.371641114354,45977.245252579451,59561.006873846054,41842.68182143569,49953.387286514044,46580.202337354422,53460.735408589244,54580.117501318455,48034.958764910698,43552.024737000465,58879.782557487488,52505.591446533799,41475.539766252041,59396.862937137485,43075.536275282502,50538.202738389373,55573.506578803062,43925.191825255752,50699.037788435817,58728.193966671824,44756.144424900413,56519.386516883969,41329.31855507195,41856.965497136116,50019.124895334244,51432.194290682673,40889.532975852489,50380.732109770179,48964.650146663189,48875.085124745965,43555.761063471437,41676.221592351794,52256.31576962769,51899.236049503088,50460.377121344209,47558.360295370221,53361.54343560338,47460.626754909754,50753.92815284431,41270.549017935991,54117.354387417436,50375.29980763793,57663.94816339016,57976.920334622264,58100.20468197763,50140.231652185321,46873.457636684179,42202.553544193506,58317.43448972702,41121.612200513482,50936.262803152204,45769.018167629838,59888.388495892286,44145.606113597751,55201.98367536068,59739.750754088163,45991.078447550535,52055.514864623547,57038.42407092452,44793.493375182152,44243.194200098515,55364.954257383943,58786.324094980955,41749.211372807622,58995.556458830833,58317.552227526903,43100.431403145194,48950.616922229528,53018.681956455112,44987.744027748704,49013.913404196501,56842.654868960381,54500.51442719996,50146.091431379318,45358.766596764326,44790.233755484223,49458.765909075737,53478.707857429981,56643.065307289362,59998.749857768416,58989.016022533178,48392.439326271415,51727.822320535779,49509.83302667737,51763.753788545728,53410.016149282455,42141.525940969586,52626.506630331278,53697.034791111946,46063.841413706541,54982.687616720796,54030.891479924321,57193.212890997529,46329.193552955985,54756.094058975577,45672.964686527848,45517.530869692564,53141.370099037886,47007.357375696301,52655.468164011836,40453.531593084335,42505.488516762853,49745.520837605,52968.793893232942,46519.065061584115,45926.541062071919,47375.676622614264,42997.054001316428,51486.623575910926,55682.530226185918,56285.63423641026,52654.738798737526,48195.089418441057,54867.919869720936,45129.366759210825,49267.162196338177,53195.106377825141,50152.995372191072,41393.29987578094,57191.023146733642,49526.161691173911,46199.618112295866,56981.661869212985,50791.168762370944,47173.473620787263,44571.200711652637,48170.396517962217,59854.341326281428,51914.82619382441,52483.932850882411,57459.522476419806,42194.397831335664,41244.368432089686,54100.247863680124,42865.955224260688,48109.476575627923,55972.870038822293,56026.867488399148,43562.002955004573,46583.692636340857,52122.190501540899,57655.854262411594,41942.726531997323,51404.838478192687,41120.392242446542,50432.427562773228,57810.129169374704,54841.089062392712,54183.987779542804,50282.721780240536,41705.040978267789,56623.735083267093,55115.674566477537,49142.557084560394,58956.991750746965,50160.503163933754,47576.755750924349,42533.965082839131,48351.167105138302,58065.601410344243,48563.045039772987,59098.050473257899,40934.453513473272,45360.208256170154,49020.203398540616,42558.589866384864,42219.904353842139,49932.492394000292,55399.743691086769,43492.336617782712,55701.562399044633,56159.363621845841,50424.518827348948,44888.012837618589,52831.800105050206,44064.466003328562,51480.149747803807,46876.901183277369,40078.241163864732,54999.241679906845,52255.031578242779,50315.831433981657,58178.991656750441,54312.917273491621,57200.727583840489,52628.636220470071,49489.056272432208,42568.845031782985,54578.469274565578,40333.211719989777,40289.380475878716,43617.660356685519,42017.643125727773,50528.029892593622,44598.48721511662,46774.660451337695,41718.258652836084,58773.191655054688,41032.293429598212,49755.679331719875,43702.604565769434,49674.965860322118,47151.290150359273,51733.613051474094,46834.647953510284,49928.208133205771,43394.172489643097,45857.059992849827,59607.345657423139,40658.61776471138,49388.77665437758,57169.303596019745,44485.672675073147,50700.685055926442,46413.818700239062,57050.945106893778,55234.54500362277,46997.995115816593,55303.966291248798,53761.576786637306,50821.160711348057,51248.160311952233,47830.45100979507,46390.182906761765,59804.163947701454,48583.624009042978,44968.787161633372,50405.864454805851,51363.97335678339,54300.296390429139,45081.545859575272,45541.301649063826,52656.859178096056,43832.305315881968,49555.474016815424,58851.875392720103,43469.872986897826,58155.317939817905,56428.756602108479,58112.340206280351,54101.988701149821,52124.210586771369,51607.426749542356,46021.470399573445,42853.052755817771,51257.689353078604,47985.045295208693,44656.339064240456,59090.689122676849,57212.234232574701,46020.881589502096,52956.921877339482,46986.093847081065,55279.342560097575,59910.527132451534,56229.670932516456,52079.489817842841,59985.463013872504,55677.030561491847,43852.769685909152,53500.141222029924,56873.624306172132,55003.845887258649,49637.944577261806,44934.585466980934,55577.982161194086,59146.305099129677,51949.950912967324,42825.087765231729,41250.092359259725,50302.291857078671,50619.322545826435,58954.110806807876,41740.478361025453,52219.827370718122,58638.715287670493,40887.985751032829,44376.524556428194,56248.2541333884,44407.347021624446,54281.426928937435,47942.506419494748,49705.454604700208,59575.617145746946,47397.521771490574,50148.471333086491,45357.7746078372,48117.875847965479,57139.440281316638,42572.942227125168,43440.031427890062,56608.235463500023,54613.565020263195,50187.409929931164,59798.772074282169,57962.40740455687,54181.388961151242,46604.381054639816,59832.437010481954,43768.990384414792,45421.420354396105,57811.938757076859,45254.829591140151,57920.979410409927,57901.091007515788,43636.703416705132,42074.353024363518,43651.296710595489,47343.84355135262,47978.625055402517,56751.368585973978,40251.955566927791,54617.215320467949,51538.00549916923,59258.514828979969,57858.881382271647,54219.53160315752,47667.765552178025,52135.695461183786,44633.711092174053,58782.36242569983,55165.43572768569,45478.393901139498,55366.339320316911,42065.07682800293],"S":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/large.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/large.json deleted file mode 100644 index 59ec78614218..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/large.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[55139.00781981647,41304.546138271689,45506.956139579415,55411.881003528833,47484.146924689412,46057.421825826168,47088.674064725637,59345.061313360929,52445.645052939653,53956.50215446949,46931.819394230843,43088.613087311387,50320.182610303164,51309.212129563093,53928.350070491433,53779.743751510978,56153.339482843876,49176.814574748278,54722.629608586431,43235.946735367179,46556.806638836861,40249.230246990919,48812.763122841716,56109.874565154314,58661.942621693015,51269.788844510913,51341.197891160846,51513.045495375991,59755.73088042438,54569.061901420355,42223.491193726659,50216.5103610605,48889.718297868967,49495.501853525639,50899.726515635848,51703.633591532707,42969.864485785365,54512.435831129551,50509.127369150519,46903.775557875633,51755.855241790414,40659.140776842833,58179.041547700763,55151.434475556016,50159.34924595058,48182.856198400259,49264.190550893545,43250.661371275783,53865.692466497421,40693.392939865589,53855.145741254091,43434.581691399217,45014.514224603772,58940.612152218819,54868.590570986271,56401.842925697565,45774.180563166738,46652.770331129432,53111.007353290915,56700.689364224672,48486.275225877762,48827.787740156054,48628.617888316512,41180.916465818882,47663.050256669521,52885.723812505603,50360.217625275254,44177.709082141519,54756.576241925359,53777.013523504138,50266.397353261709,47340.396614745259,50045.961467549205,42474.463721737266,48311.790600419044,56264.686286449432,40582.543648779392,50811.109589412808,42318.95387172699,54657.740257680416,52640.625545755029,50993.646429851651,50215.632552281022,54136.386131867766,50241.828933358192,54418.963100761175,59512.947332113981,54105.963548645377,58929.472472518682,47643.993766978383,52603.301424533129,43687.140764668584,49774.860637262464,46082.806969061494,53736.776616424322,54004.699746146798,56988.743087276816,49805.200817063451,56010.209117084742,43584.756143391132,48996.530026197433,44680.220708250999,40469.480203464627,50553.783299401402,57435.995629057288,46778.674023225904,49174.36140589416,53492.220658808947,43752.718195319176,51934.738093987107,47143.239043653011,56418.662574142218,48462.01210282743,41037.478446960449,56900.266176089644,42773.753805086017,58480.223780497909,57121.223453432322,56402.715826407075,40445.022797212005,59498.15621599555,45511.674834415317,54718.98514777422,41983.493836596608,56580.927195027471,55643.496587872505,40247.274804860353,55947.647215798497,52106.880731880665,40344.555471092463,50943.805342540145,52536.477716639638,40581.081677228212,46239.753719419241,51540.81110842526,46412.389623001218,53032.443961128592,56285.756677389145,54712.604330852628,54741.103779524565,53731.337832286954,42595.054712146521,55084.567349404097,46323.559489101171,40064.382813870907,42081.953231245279,51387.973828241229,57676.220368593931,44235.87329685688,52322.53341935575,44819.275550544262,57564.215706661344,41773.51932041347,47539.23206590116,51873.390600085258,56075.908550992608,47795.142345130444,52957.455608993769,55956.521760672331,41261.356500908732,59618.720635771751,51837.878953665495,59231.666894629598,46625.64855068922,57275.24328045547,45013.949815183878,49454.583032056689,43177.093770354986,57415.023213252425,54295.281423255801,40794.992540031672,41439.626533538103,55803.16043458879,43717.547813430429,40826.129419729114,44757.163850590587,53652.874100953341,43855.12157343328,53028.314858675003,46887.93171197176,45468.337014317513,46340.242428705096,40454.548867419362,59602.818265557289,44566.742638126016,53243.554718792439,44424.262391403317,58578.046932816505,41234.945245087147,55724.743837490678,45769.799770787358,53024.792773649096,47692.248653620481,43623.181600123644,54813.18162754178,45143.730025738478,50670.582838356495,40485.84776930511,45643.4625107795,49674.462834373116,58696.933016180992,59353.349274024367,51741.399988532066,57709.699142724276,46913.630366325378,57385.62093116343,40131.126129999757,43836.867930367589,46239.335713908076,44515.392482280731,50201.485026627779,56358.922366052866,44408.334279432893,50874.268924817443,43837.904511019588,43661.146741360426,52893.310692161322,57872.904054820538,49898.589244112372,45589.503264054656,42781.402710825205,47035.38260422647,43675.484294071794,53864.559223875403,41646.984182298183,40863.164775073528,47210.381412878633,44880.462680011988,45936.301155015826,51413.55880536139,47682.931032031775,47021.91548421979,57333.598230034113,45785.587839782238,58374.868491664529,46414.883211255074,54942.181762307882,53248.996045440435,55876.63940154016,58678.54593321681,50321.645755320787,55900.290450081229,56181.718949228525,46150.50632506609,51559.85351651907,46458.142604678869,42002.807380631566,41183.661948889494,53806.384243071079,43900.081347674131,48667.2408785671,50317.513905465603,46456.289906054735,50864.501586183906,59678.244013339281,52247.286196798086,40139.205437153578,59625.783320516348,50540.421511977911,52864.434299990535,52547.380616888404,43826.126242056489,45703.780185431242,43433.621181175113,48871.218878775835,58575.765006244183,42882.605325430632,47947.72706925869,57448.915224522352,43918.315107002854,55122.03405611217,56026.499420404434,57375.884158536792,56485.188510268927,46563.421105965972,51418.579332530499,52062.931200489402,41684.781033545732,56114.843981340528,42182.920509949327,48345.027798786759,54882.279513403773,46471.898248419166,53193.911826238036,50076.166838407516,50136.131970211864,57970.102671533823,43515.741107985377,49060.829421505332,45360.158151015639,48178.086066618562,49092.585658654571,59087.236160412431,59178.29742655158,49644.998144358397,43483.887715265155,53700.857721269131,50315.828593447804,58131.250804290175,51932.409601286054,48008.262198418379,54862.831486389041,59608.908053487539,46917.808428406715,47606.310369446874,59258.438814431429,56581.304864957929,41990.995118394494,42654.970437288284,42088.160282000899,55709.875924512744,55884.786229580641,55602.284874767065,47602.012315765023,47021.050555631518,42796.743446961045,44867.134960368276,41937.317000702024,40486.845960840583,42420.06765678525,54077.126523479819,54265.590291470289,41776.140388101339,51591.516714543104,58621.512036770582,51752.947736531496,51792.699862271547,59906.677482649684,51528.606684878469,41292.642978951335,45450.557349249721,47517.411494627595,45135.049037635326,44769.215723499656,56208.702176809311,59657.612480223179,45493.10895614326,42682.2688896209,40893.248850479722,52833.43699760735,51575.719220563769,53113.030605018139,50705.481162294745,47021.978469565511,58392.192935571074,57586.812078952789,41550.748599693179,43431.727178394794,57038.714131340384,49668.538784608245,59131.428571417928,41920.149549841881,51953.499214723706,42461.395412683487,48672.720231115818,42408.992238342762,47932.568676769733,42681.812550872564,53223.563497886062,48431.812459602952,53472.074531018734,45156.748266890645,49468.16198527813,51398.560665547848,55609.195064753294,43741.575470194221,44658.956835046411,43087.563086301088,52672.8156208992,52012.239629402757,49711.545379832387,41943.274848163128,40620.388286188245,46865.930818021297,55699.312211945653,58340.469030663371,48263.141894713044,58625.889103859663,45318.314339965582,44909.153422340751,48141.607698053122,56000.644890591502,42838.801397010684,51735.101770609617,51855.550473555923,56236.901832744479,53609.230006113648,50328.819258138537,56465.352363884449,53177.308663725853,51026.814365759492,47669.131616130471,55095.132319256663,43889.00788500905,42555.553782731295,51192.446360364556,51446.066237986088,54035.351406782866,52151.203639805317,45279.669305309653,55402.055652812123,42349.477354437113,47665.914408862591,41023.529749363661,42464.505564421415,40945.040518417954,43296.000445261598,55879.509299993515,46912.929266691208,45602.239379659295,56837.297771126032,44463.771088048816,42600.711770355701,50162.744717672467,45250.549456104636,45984.749840572476,45690.617337822914,42205.641325563192,50213.775997981429,42933.278009295464,59603.525176644325,56447.7972779423,58128.979094326496,53751.780223101377,46170.31728848815,44522.715909406543,53286.324786022305,43260.782659053802,43974.176235496998,53980.02109490335,42214.651452377439,41646.977439522743,40749.838948249817,42543.209102004766,43715.397296473384,44682.390904054046,56943.961074575782,57153.91299687326,45815.872699022293,47372.497981414199,49573.631323873997,44021.735275164247,53304.801154881716,53793.114218860865,40870.784344151616,55272.478964179754,44554.070495069027,40262.846266850829,57657.209010794759,44711.982617154717,54291.883390396833,43684.254251420498,41261.232458055019,57533.932393416762,52801.873376592994,41085.940590128303,51403.506780043244,58738.54142613709,58665.895732119679,57709.715813398361,47193.814385682344,46438.436461612582,50801.660707220435,43511.590790003538,59306.435063481331,43254.263028502464,54398.745503276587,59715.786250308156,43219.663230702281,52879.943605512381,53212.278643622994,58767.2667670995,41452.701520174742,55554.460939019918,43825.123840942979,48856.42466135323,49929.352672770619,42630.448965355754,49955.781316384673,46816.662391647696,47644.869768992066,47326.267277821898,52574.195684865117,54506.973931565881,58710.981355980039,55463.796388357878,40026.020156219602,57320.765778422356,50110.573498532176,48408.86895544827,47860.600026324391,53104.703947901726,50759.354941546917,52478.586779907346,47608.107561245561,49463.841393589973,58782.376125454903,55395.687511190772,55320.121068507433,45274.918302893639,55551.958009600639,41758.389072492719,53245.155140757561,51322.554368525743,58171.360418200493,46054.690908640623,41190.148908644915,42832.716908305883,49473.100062459707,54392.82389357686,40191.291989758611,55044.473363086581,52463.931133970618,41290.666190907359,52226.680675521493,53822.209173813462,49869.692455977201,59921.184843406081,55353.819029405713,51636.547381058335,55451.924512162805,40495.396852493286,46134.903728961945,49327.020673081279,59236.52546480298,48283.637491986156,43095.392640680075,44264.13613371551,47336.032725870609,56702.081114053726,51877.414612099528,43707.478512078524,51591.381514444947,56349.203987047076,41071.538254618645,49343.453757464886,55427.374830469489,47888.896437361836,48682.484477758408,46516.685634851456,45935.515947639942,58216.578429564834,46033.808263018727,50215.523773804307,52308.146273717284,43014.518693089485,45015.698345378041,58842.130014672875,59679.30406332016,50063.546234741807,58021.646058186889,49805.440986528993,40046.737333759665,45514.368861913681,59997.505331411958,58072.261540219188,40499.847903847694,40943.723879754543,41167.254419997334,58045.046022161841,43088.635699823499,50700.231101363897,58784.204358235002,46122.79586493969,45830.14995791018,47330.388221889734,41834.902670234442,59209.192981943488,48906.597858294845,53190.274061635137,48936.257129535079,51673.646029084921,58968.902183696628,50339.149842038751,50091.476058587432,47438.195655122399,53754.433849826455,50769.821675494313,48392.984317615628,40887.491852045059,56075.564259663224,42008.637972176075,59178.414074704051,51605.503642931581,53699.817573651671,52834.067577496171,42173.875421285629,56324.222553521395,41208.584792912006,52684.62392501533,50474.407002329826,43358.570132404566,47488.241605460644,54876.721575856209,53059.641839936376,53400.50601400435,42304.682247340679,54794.549085199833,51986.5907356143,58630.58727234602,44280.432127416134,41222.79898263514,51582.510713487864,47257.652236148715,59361.189743503928,43516.170596703887,56279.246313497424,45292.918356135488,58078.852985054255,51282.261293381453,40965.646160766482,49615.031555294991,59835.425084456801,53989.54969830811,42361.888950690627,56267.612734809518,49767.36125536263,40040.695322677493,43966.28855727613,41411.81318089366,48344.142325222492,40000.12531876564,42106.232494115829,59449.54507984221,48504.309123381972,51923.503233119845,58318.932354450226,46296.224612742662,40647.115642204881,56072.603594511747,52248.738743364811,44552.155593410134,48079.094067215919,45334.050925448537,49393.945755437016,44046.385148540139,47595.223179087043,52916.030352935195,59722.24285826087,51735.873138532043,44819.931155070662,48582.960991188884,53825.446078553796,44272.350454702973,45394.125627353787,59069.461142644286,40433.573666960001,47072.623986750841,49591.400669887662,42671.133866533637,53746.91572971642,44412.776930257678,45541.901374235749,42736.440151929855,51349.654896184802,53649.928998202085,54356.779605150223,54394.936114549637,55691.389888525009,45189.979244023561,47981.194918975234,59943.065671250224,43104.892782866955,43933.025943115354,42367.056719958782,43122.310871258378,56678.837668150663,41224.819142371416,45535.33541969955,52382.442206144333,51706.255571916699,47037.48881816864,59074.622029438615,47172.59805649519,49855.591645464301,42928.862450644374,45391.230899840593,50417.775809764862,51558.116246014833,57259.837221354246,46084.314379841089,59071.829598397017,40240.209521725774,57201.433517038822,44493.25549416244,58145.125545561314,45125.186257064342,59005.46258315444,44809.783818200231,58036.670126020908,42314.949193969369,47351.121157407761,50293.350080028176,40334.875592961907,48254.093527793884,46549.986228346825,45618.591085076332,51660.410845652223,56525.17412789166,58601.696798577905,58718.239273875952,57447.622520849109,42191.844461485744,58329.881336539984,50315.766679123044,57090.656748041511,42668.098090216517,42724.623149260879,52741.29094555974,42877.021739259362,54104.394242167473,52554.138489067554,57405.684003606439,57331.184828653932,45223.550824448466,52218.74738112092,40487.330127507448,50557.456826791167,59176.97049677372,47343.289358541369,58664.306467399001,50998.943643644452,59245.904805138707,45922.210589051247,54593.416526913643,51551.682045683265,49120.232202112675,43742.692284286022,43429.251285269856,55426.378361880779,51141.248857602477,50969.636915251613,46687.72048316896,40518.212961032987,49605.240132659674,55270.984778180718,59441.286390647292,49700.519759207964,56635.668920353055,55687.674563378096,42746.509471908212,40584.7158562392,47319.400385022163,57162.328343838453,47252.609208226204,54603.019412606955,52947.381967678666,46648.83210323751,46921.211145818233,44795.781932771206,42706.981617957354,56240.074187517166,46926.996698603034,42033.567633479834,58171.231802552938,43893.047720193863,50453.063761815429,44642.726639285684,50306.662805378437,44081.850657239556,43664.028169587255,41321.474928408861,50029.132105410099,59623.374110087752,50048.82181994617,50548.406476154923,47067.727288231254,47292.588613927364,46536.891348659992,45532.948086038232,52258.525341749191,49035.514714196324,59895.872203633189,49924.282170832157,57410.522839054465,58657.492240890861,56472.238665446639,48915.379075333476,40776.188904419541,45406.922651454806,54149.045310914516,43004.65127453208,59173.994567245245,57326.841745525599,52229.352649301291,58730.072509497404,56328.813703730702,58372.046388685703,58983.798418194056,40700.163161382079,47642.258824780583,43444.127896800637,45457.588480785489,45689.639272168279,45767.291858792305,50874.315854161978,44626.646004617214,40039.435811340809,42797.681512311101,40633.19930806756,42180.77564612031,52296.301405876875,43937.824806198478,43021.548595279455,43167.264508083463,52214.612141251564,50986.353605985641,47645.141780376434,51897.962614893913,49057.761635631323,53799.880938604474,54599.043121561408,46117.858337238431,42845.121845602989,57962.881308048964,42146.284962072968,52611.374352127314,59368.834896013141,52008.248874917626,42638.934720307589,52575.864857062697,42560.751074925065,58543.336298316717,57853.31092774868,40596.902398392558,52138.614449650049,53693.150263279676,40776.582108810544,52015.508851036429,44657.353404909372,56138.71275447309,43345.390735194087,45982.11258649826,41366.288093850017,43204.004028812051,49695.73731534183,56257.134824991226,53665.130855515599,49854.395594447851,42826.833007857203,50582.385174930096,58147.717863321304,48694.270867854357,44610.544070601463,49414.230678230524,44975.082697346807,56214.933237060905,44383.042184635997,45790.031477808952,53059.092843905091,44173.529716208577,44513.972979038954,46343.894032761455,41827.058270573616,47368.3678265661,40158.118763938546,57502.066744491458,57235.911637544632,43967.027105391026,53824.591347947717,49906.893149018288,45153.233082965016,50388.465719297528,58943.42552870512,42153.00920419395,45625.711735337973,51337.179848924279,43981.809597462416,42273.935712873936,58037.544060498476,57003.165958449244,52210.396723821759,40137.832835316658,56556.464238092303,44494.579192250967,40392.519338056445,57072.517778724432,57806.440629065037,52847.792049869895,52841.082708910108,40077.189151197672,57318.064775317907,44714.814303442836,41884.034862741828,44973.95284473896,57225.500447675586,48986.158892512321,50372.576778754592,51898.00170250237,49714.707070961595,55081.817675381899,40109.788179397583,45209.931991994381,43327.030222862959,57396.981688216329,51071.370001882315,56515.708277001977,59509.140821173787,50129.934148862958,53803.319213911891,52386.136241257191,53791.903741657734,40526.293981820345,45422.956570982933,43631.130950525403,48417.913895100355,59878.90082411468,44686.306472867727,42752.926163375378,48430.049391463399,43840.18830023706,42044.792138040066,46821.480039507151,48615.077380090952,53605.594607070088,49228.667505085468,46214.830195531249,52651.144927367568,47792.893275618553,55157.344304025173,49485.836373642087,48452.006038278341,52865.551486611366,51323.936162516475,41395.172039046884,48656.471176072955,49311.124002560973,52061.183908954263,52318.052183836699,49503.150144591928,59444.554522633553,44628.014080226421,43032.68258459866,50296.223079785705,48621.382536366582,59576.356178149581,59818.439362570643,48510.52182726562,56340.417452156544,53396.246274933219,50711.247641593218,43939.196085557342,46068.640789017081,55645.788498222828,58767.412072047591,43894.841782748699,40605.873139575124,42909.861579537392,46043.590055778623,54618.114763870835,46654.950780794024,49757.824884727597,59762.913975864649,55295.347021892667,48897.516652941704,40562.45562620461,53191.714016720653,53137.582261115313,43345.165383070707,42194.619448855519,44969.094088301063,55564.380958676338,50550.894280895591,48880.261583253741,50556.499240919948,43082.824759185314,53035.75174883008,51879.744604229927,42867.656266316772,56698.890421539545,58251.44549831748,52044.633058831096,54147.914033383131,43991.269795224071,41271.47956751287,49757.101135328412,47598.857823759317,54003.503387793899,56881.54824078083,48181.414920836687,45040.638530626893,58011.823687702417,44720.860179513693,43497.074032202363,55323.286587372422,58477.793885394931,56281.976439058781,51178.138684481382,50976.957557722926,49725.758554413915,40824.100151658058,50651.255361735821,55648.948047310114,51869.953610002995,58310.416210442781,43165.392214432359,40746.972737833858,54370.810613036156,50214.085765182972,48139.535365626216],"S":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],"C":[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/medium.json deleted file mode 100644 index b7196dc35dff..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/medium.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[28011.031767004635,2505.1264878246002,10252.899686735589,28514.114412155934,13898.147477703635,11267.765749184415,13169.033939431421,35765.522290377878,23045.413501852192,25830.905197087675,12879.848826173693,5794.3215184216388,19126.804669485427,20950.228942668997,25779.002607461531,25505.024567473214,29881.104337545112,17018.834190734662,27243.376077870373,6065.9531986596994,12188.456559691578,559.49334486480802,16347.650731427129,29800.970242046751,34506.090514484327,20877.546203182545,21009.199492038693,21326.026327549946,36522.653237694409,26960.250974553637,4199.3395393141545,18935.669327169191,16489.529139866121,17606.381992252544,20195.280790552031,21677.404071029276,5575.3906592181884,26855.852320061997,19475.152674134355,12828.145807277411,21773.682516526897,1315.2248932262883,33615.789949418511,28033.942170858849,18830.284237296786,15186.322830180638,17179.924909154885,6093.0818371525966,25663.483915857971,1378.3738935831934,25644.039445863105,6432.1665353481658,9345.0091501907445,35019.859594438225,27512.477006198838,30339.257709962316,10745.567995282356,12365.380020986777,24272.108706894796,30890.225946352817,15745.721320189536,16375.35086713871,16008.151369794738,2277.1966422069818,14227.982605708763,23856.764706925955,19200.615224838722,7802.2333492902108,27305.961788425688,25499.990982608404,19027.64348034095,13633.122218775097,18621.236859647091,4662.0450405809097,15424.032740462571,30086.388872012496,1174.0065980721265,20031.902194520924,4375.3393056094646,27123.742826072499,23404.889287431259,20368.436240395997,18934.050955012906,26162.548292018007,18982.347912985831,26683.521320718341,36075.045348851942,26106.45969646005,34999.321923959069,14192.849108489696,23336.076671340503,6897.7970707812347,18121.421813888941,11314.567068510223,25425.808208870701,25919.764686983544,31421.296192857902,18177.358486379031,29617.222038713284,6709.0356637630612,16686.452582798898,8728.6889087669551,965.55717711756006,19557.482579941396,32245.873341511469,12597.502362920437,17014.311405976769,24974.932617613114,7018.6989008001983,22103.47988697933,13269.632662830874,30370.2672548173,15700.988613377791,2012.7471387386322,31258.175735547673,5213.8312027468346,34171.064572914969,31665.5436199205,30340.867033355404,920.46628007991239,36047.775707620196,10261.599308469798,27236.65696769394,3756.8684118413366,30669.426423112396,28941.132484231144,555.88819398079067,29501.879789406899,22420.850661331788,735.23969427961856,20276.546719774138,23212.877142282669,1171.3112342217937,11603.921944807284,21377.21640004823,11922.202128446195,24127.26530893473,30125.235298268497,27224.892974576447,27277.435983120464,25415.780994495843,4884.3726200489327,27910.662593728863,11758.430452081375,218.69937479309738,3938.3930747853592,21095.437948436942,32688.763682558201,7909.4678037501872,22818.438738595229,8985.0573687609285,32482.266287586186,3369.7488950802945,13999.705198298674,21990.376579847187,29738.348800037522,14471.514184599742,23989.013033521362,29518.241344063543,2425.4999129003845,36270.054300140589,21924.90553292539,35556.462670283858,12315.376950478181,31949.502274011727,9343.9685767637566,17530.942007051315,5957.4489297149703,32207.207547112834,26455.495595985558,1565.6879964293912,2754.1674585575238,29235.496735229623,6953.8570262310095,1623.0935046835802,8870.5451331413351,25271.121336222626,7207.4948888602667,24119.652689196169,12798.935300776735,10181.699536446482,11789.187953682151,938.02901941770688,36240.735895294696,8519.4750647810288,24516.479657301679,8256.7913579107262,34351.41622768715,2376.8068011049181,29090.923975989688,10737.491347412113,24113.159197138157,14281.814230247401,6779.878757067956,27410.322307617404,9583.2378619527444,19772.820049935952,995.73323987936601,10504.569657998625,17936.323404591996,34570.600555282086,35780.802389055025,21747.032088857144,32750.486824483611,12846.314624875784,32153.000029739458,341.75068957405165,7173.8415598222055,11603.151288946625,8424.8033499568701,18907.967869342305,30260.127220173366,8227.4254942764528,20148.345903239679,7175.7526517412625,6849.8731897091493,23870.752257603221,33051.379560669884,18349.534059907775,10405.087692774367,5227.9331078128889,13070.783138282131,6876.3066187654622,25661.394613097887,3136.4623876940459,1691.3737375643104,13393.419691853691,9097.8650200041011,11044.461624444928,21142.607691504527,14264.635797205381,13045.954482481815,32057.088376802392,10766.599020814523,33976.826294657309,11926.799432430416,27648.153406078927,24526.511559176259,29370.966232649516,34536.701209775172,19129.50219679717,29414.570488292258,29933.42614074517,11439.380986208096,21412.323935730383,12006.554613116197,3792.4758273013867,2282.2583520701155,25554.140309737995,7290.3849766394123,16079.358645770233,19121.884511811659,12003.138885297813,20130.338349367958,36379.794575192966,22679.709196726792,356.64610420819372,36283.075418869965,19532.848120558076,23817.514297177549,23232.978274326306,7154.0376461674459,10615.774338870309,6430.3956906734966,16455.422685855068,34347.209153762087,5414.515308230184,14752.827011238784,32269.692553690635,7324.0016470258124,27979.738087551203,29647.255656428635,32135.048828886356,30492.917796957307,12200.651322014164,21151.863786419854,22339.823107782286,3206.1465524965897,29810.132106198464,4124.5413981680758,15485.310501233209,27537.714624886867,12031.915205697995,24424.955538443755,18676.924991630018,18787.479706881102,33230.579790373333,6581.7960937372409,16804.998162958305,9982.2555751199834,15177.528376721311,16863.545549578499,35290.182947144378,35458.068050461821,17882.000828846358,6523.0695862486027,25359.586337817833,19118.777386310045,33527.680545329582,22099.186961411033,14864.432602114044,27501.859269881155,36251.963332812302,12854.017509032041,14123.374112630729,35605.820720226504,30670.122714279685,3770.698150028009,4994.8362467065454,3949.836703910958,29063.51274822792,29385.986132166348,28865.152509364299,14115.450005960185,13044.359856890049,5256.2160559897311,9073.2933696829714,3671.7344883442856,997.57355570374057,4561.7577354321256,26053.294315013569,26400.755540869199,3374.5812265230343,21470.699790767394,34431.550666592084,21768.322094456293,21841.611101076938,36800.94594088709,21354.715714576188,2483.1812281436287,10148.920056944247,13959.475702070165,9567.2331582363695,8892.7645686301403,29983.173768274486,36341.757249163464,10227.370326993521,5045.1650383495726,1746.8382431869395,23760.366120638791,21441.574740992393,24275.838874941692,19837.160344864707,13046.070605414454,34008.766505665611,32523.92608936131,2959.0376558243297,6426.9038124475628,31513.4253082457,17925.401530242991,35371.658285694662,3640.0837175659835,22138.068827225361,4637.9516525939107,16089.460654096678,4541.3385402206331,14724.880240926519,5044.3237094162032,24479.622842877638,15645.311041146982,24937.790209112689,9607.2389422529377,17555.976844158024,21114.95637103729,28877.89248113241,6998.1556156235747,8689.4857689333148,5792.3856840590015,23464.236519470811,22246.365592748392,18004.69063952798,3682.7186738159508,1243.7788638309576,12758.373352644965,29044.036959553603,33913.405728382524,15334.341554187704,34439.620446330868,9905.1102328775451,9150.760707098525,15110.275032515638,29599.588952539023,5333.7561955987476,21735.420379384421,21957.485630571377,30035.164063939359,25190.656900771428,19142.727625267114,30456.346885675564,24394.345117878169,20429.586305432487,14239.194504078943,27930.140700397547,7269.9693871969357,4811.5467315325513,20734.953732286114,21202.540019663051,25976.27562111523,22502.566590527073,9833.8623147341423,28495.999904307071,4431.613924507983,14233.263099899516,1987.0306224143133,4643.6856838455424,1842.3239517812617,6176.6712209065445,29376.257320933044,12845.022042535245,10428.568632308859,31142.084035736509,8329.6315664811991,4894.802255416289,18836.544298736844,9780.1755047473125,11133.784043571446,10591.506654877216,4166.4306298745796,18930.628118678462,5507.9380018375814,36242.03919192031,30423.981451478321,33523.492307255045,25453.469608320855,11475.905468921177,8438.3051863773726,24595.332691750024,6111.741949364543,7426.9900165740401,25874.265891618561,4183.0421501756646,3136.4499563761055,1482.4405769407749,4788.7874609110877,6949.8922256431542,8732.6899902592413,31338.73383514164,31725.811696685385,10822.433701552451,13692.305903434288,17750.425390260294,7514.6722400565632,24629.396649197675,25529.675029602833,1705.421556095127,28257.105842310004,8496.1120682340115,584.59651987953112,32653.713392751757,8787.2467521172948,26449.230812705122,6892.4753506314009,2425.2712212931365,32426.434457122814,23702.173850755673,2102.094368990045,21124.075275026727,34647.311900297645,34513.378666522447,32750.517559371889,13362.875892163254,11970.223382452037,20014.481762866955,6574.1443599900231,35694.309004787356,6099.7220324985683,26646.247147115879,36449.009320380632,6035.9321152842604,23846.1080283029,24458.817521315534,34700.271375162993,2778.2731576701626,28776.981910224073,7152.189569354523,16428.147326903883,18406.251055153552,4949.6272349781357,18454.976223952603,12667.539618361276,14194.464149602223,13607.072666756343,23282.415874401573,26845.782488931436,34596.500776952598,28609.828211396001,147.97206101426855,32033.429827388376,18740.358830568846,15603.011249712203,14592.195238532964,24260.487433549017,19936.484737982973,23106.146516776178,14126.687505290378,17548.011185292155,34728.127743694931,28484.259280006867,28344.941207953729,9825.1031291298568,28772.367384400219,3341.8540135012008,24519.430275257677,20974.827361532487,33601.628635015339,11262.730893715285,2294.2180354231969,5322.5385279981419,17565.080930153839,26635.329771392979,452.67547691846266,27836.743315854575,23079.12663514493,2479.5367228663526,22641.7198274252,25583.31594330119,18296.258496462367,36827.692436545622,28407.068453563843,21553.7205790882,28587.940626848955,1013.338407099247,11410.615259900689,17295.7616639263,35565.420173184015,15372.128262100276,5806.8206419898197,7961.5745829246007,13625.076735051349,30892.791845925152,21997.795449597295,6935.2927587935701,21470.450529106427,30242.209930719342,2075.5415031276643,17326.058519950137,28542.679606195074,14644.36391674215,16107.462507419288,12114.487470693886,11043.013976866379,33684.994821667206,11224.230604114477,18933.850405574311,22791.913877538871,5657.7173885144293,9347.1922544562258,34838.293001551647,36381.748936340213,18653.657015681732,33325.607755176257,18177.801274814177,186.16728538600728,10266.566152267158,36968.400704257656,33418.924988625105,1021.5445879288018,1839.8965309094638,2252.0086114280857,33368.749098758679,5794.3632079795934,19827.481070029549,34731.498365059961,11388.292596396059,10848.755969901104,13614.670245287009,3482.9183079777285,35515.028641160112,16520.64914144529,24418.24877373362,16575.330456867348,21622.117501522414,35072.016510972288,19161.773606274743,18705.149835414719,13813.429419566412,25458.361967232544,19955.781732025091,15573.725537172053,1736.2243530228734,29737.714047328103,3803.2253974024206,35458.283108828124,21496.486791290808,25357.668669662904,23761.528689250816,4107.8654204532504,30196.152910799719,2328.2073534522206,23486.006899354514,19411.140469845384,6292.0278246076778,13905.696635907516,27527.467733327299,24177.408678198699,24805.842912719119,4349.0274253096431,27375.970420928672,22199.078009715304,34448.282224660739,7991.6186917107552,2354.4133443352766,21454.0958769219,13480.570545175578,35795.257470611017,6582.5879206131212,30113.232465879526,9858.2889272891916,33431.077305895276,20900.541033542715,1880.3135442971252,17826.752926919609,36669.581456958782,25891.833301285747,4454.4965639407746,30091.784218531568,18107.595578449313,175.02793165436015,7412.4478986221366,2702.8893709545955,15483.677997896448,100.23104394227266,3983.155537776649,35958.15378645109,15778.969515323173,22082.766735741403,33873.699635282159,11708.03450728301,1293.0547537510283,29732.255617021583,22682.387184204534,8492.5816597905941,14995.02177702263,9934.122988703195,17419.148092011455,7560.1179791060276,14102.933214123826,23912.639360188972,36460.913045632653,21736.8425118546,8986.2660740460269,15923.976031405386,25589.283662725706,7976.7189158131368,10044.87971287081,35257.412035636138,899.35809109080583,13139.443213173188,17783.185845038388,5024.6359530347399,25444.501185091678,8235.6161874695681,10317.326468609739,5145.0378861054778,21024.79124935111,25265.691597535275,26568.876719035208,26639.223967589438,29029.430967979133,9668.5052332440391,14814.53001236869,36868.033024800476,5824.3355791326612,7351.1232800246216,4464.0241217520088,5856.4484377955087,30849.939066885971,2358.1378118330613,10305.221146529075,22928.889573357999,21682.238085164223,13074.666259616613,35266.926904574502,13323.760406857356,18270.261537160259,5499.7972571304999,10039.54284849111,19306.732371672988,21409.121016965248,31921.098893149756,11317.346206394024,35261.77863908466,542.86228472972289,31813.422903688625,8383.9904918125831,33553.260712074116,9549.049642836675,35139.421091432683,8967.5579364248551,33353.306877838448,4367.956081461627,13652.894521854818,19077.334875043947,717.39338696422055,15317.659532517195,12175.882109891623,10458.71545400098,21597.71645558672,30566.637280887458,34395.018302698154,34609.881837281398,32267.309260563459,4140.994041418191,33893.885726111941,19118.6632379652,31609.189313526731,5019.0390440276824,5123.2514691348188,23590.481051781215,5404.2211295855232,26103.566444572061,23245.437425369397,32189.989313249011,32052.638909347821,9730.3994774944149,22627.093609203584,998.46618957910687,19564.255278713536,35455.621656376868,13638.455425874796,34510.448618620168,20378.202448605094,35582.712393993977,11018.483552504331,27005.152379844338,21397.258603523951,16914.516099425033,7000.2146299239248,6422.3391320877708,28540.842466881499,20640.563456318807,20324.171098803636,12429.815868794452,1055.4033256084658,17808.700970578007,28254.351086292882,35942.92765411688,17984.363254063763,30770.35100500891,29022.581208772026,5163.6021878835745,1178.0113883554004,13594.412519846112,31741.326651117764,13471.272966746241,27022.856740052812,23970.440764710773,12358.119307133835,12860.290928987786,8941.7433603536338,5090.7266599470749,30041.012775816023,12870.957463379484,3849.1869674650952,33601.391512776725,7277.4174293354154,19371.791004471015,8659.5629685190506,19101.878881135955,7625.503964219708,6855.1855348595418,2536.3372517609969,18590.209406139329,36278.633678063285,18626.510348343756,19547.569599763025,13130.415414947551,13544.980998067185,12151.739734956995,10300.819738824386,22700.430246315897,16758.326702828053,36781.024788228329,18396.902824254707,32198.910432222765,34497.885569918435,30469.042815550696,16536.838632238563,1531.0206736330874,10068.472946354654,26185.887387467548,5639.5253222910687,35450.135083901696,32044.63178413827,22646.646011884324,34631.698182134889,30204.617384883109,33971.623324500397,35099.479953703471,1390.8558124820702,14189.650482306723,6449.7663969364949,10161.883002600167,10589.703444133047,10732.867635462433,20148.43242452573,8629.915906412527,172.70583357848227,5257.9455201723613,1267.3979043187574,4120.5870199697092,22770.0760869449,7359.9707039478235,5670.6780676869676,5939.327210328076,22619.469674218446,20354.990825675428,14194.965643391013,22035.678774949163,16799.342239531688,25542.150492458139,27015.52585106669,11379.189523449633,5345.408890645951,33217.266123584472,4056.9982703258283,23350.960324299522,35809.352456034627,22239.008038241882,4965.2719970950857,23285.493243723642,4821.1287192855962,34287.421966391616,33015.256691943854,1200.4791067964397,22479.356530097313,25345.376482895575,1531.7456049085595,22252.392893213313,8686.5296049611643,29854.137769784313,6267.7296289405786,11128.921870097518,2618.9570442265831,6007.0620277193375,17975.546101429965,30072.466620095074,25293.718501771335,18268.056437703781,5311.6906749359332,19610.214427759871,33558.040038712323,16129.192485519685,8600.2295757643878,17456.546389919706,9272.3112149634399,29994.661662507337,8180.7957237041555,10774.791534062475,24176.396521665622,7794.5280612879433,8422.1862828051671,11795.920233500656,3468.4559805430472,13684.69134344859,391.51565913530067,32367.685353481676,31876.988490559161,7413.8095228541642,25587.707838643808,18364.843554187566,9600.7581734084524,19252.694823382888,35025.046475997195,4069.3954193121754,10471.843440855853,21001.791628469247,7441.0632643615827,4292.3415770400316,33354.918107138015,31447.88691929495,22611.697919873986,354.11550683155656,30624.325292558875,8386.4309277934954,823.66827760776505,31575.747402745299,32928.844265775755,23786.831812742632,23774.46213628212,242.30977860558778,32028.45012301486,8792.4673905423842,3573.5008746939711,9270.2281622029841,31857.793900357094,16667.331842180341,19223.401178150903,22035.750838818494,18010.519691378344,27905.593157217838,302.41097694635391,9705.2911170404404,6233.8792703812942,32173.945289480034,20511.731303970329,30549.185564894695,36068.027474957053,18776.053093551192,25548.489468728658,22935.70008119382,25527.443333307281,1070.3018995830789,10098.033882092685,6794.5345769361593,15619.68695270177,36749.73550437903,8739.9089287025854,5175.432321107015,15642.060560571495,7179.9631597320549,3869.8810252975672,12676.421674837358,15983.187411804684,25183.954497324768,17114.432845750824,11557.971689991187,23424.283345341217,14467.367687594146,28044.837826116011,17588.562230265234,15682.540932471864,23819.573998291045,20977.374906023499,2672.2089297887869,16059.503083766904,17266.453767321538,22336.601713743526,22810.176908730529,17620.482764076907,35948.952945653349,8632.4381590094417,5691.2052470953204,19082.631681046914,15994.811913172249,36191.949067845475,36638.265730803367,15790.423566838261,30226.010635668412,24797.989444780629,19847.791714423336,7362.4988631377928,11288.449590671342,28945.357964748517,34700.539266630542,7280.7250527646393,1217.018013777677,5464.7663011141121,11242.264806336258,27050.687284410466,12369.400007010903,18090.013848728035,36535.89635160286,28299.266536912415,16503.906577195972,1136.971315252129,24420.903546927031,24321.103535705246,6267.3141584983096,4146.1101468824781,9261.270315896254,28795.270954463631,19552.156240973156,16472.09426796576,19562.489825522061,5783.6498672720045,24133.363711730577,22002.091139588505,5386.9544753949158,30886.909325671382,33749.277492973022,22306.08773891395,26183.80170764681,7458.5045579648577,2444.1633046451025,18088.679508148227,14109.634226773866,25917.559020906221,31223.666414115578,15183.665618800558,9393.1732269902714,33307.498741832562,8803.6138699604198,6547.3805394698866,28350.777316809166,34166.584696808364,30118.265861870721,20708.575385644101,20337.667801295873,18030.894758845214,1619.3522446043789,19737.186947664246,28951.183067423292,21984.039973082021,33857.998846382834,5935.8753561382182,1477.1562881073914,26594.744986724108,18931.199220979586,15106.454376836773],"S":[0.49999409511179432,0.50005410089451596,0.49996896138734886,0.49999508127533376,0.49998921945126995,0.49999904584064631,0.50000386004640962,0.49999600339238148,0.4999906824937751,0.4999943894996669,0.50002331889183305,0.50005358994273019,0.49999648835485699,0.49999419106979121,0.49999219663871008,0.50001194338425758,0.4999916995976505,0.50000610611521201,0.49998852398038268,0.49995030990605255,0.50001212916552784,0.49982669934981094,0.49998493355724272,0.49999417291050957,0.50000549476475431,0.49998980956915701,0.49999320062444236,0.50000179268143319,0.49999363859327123,0.4999932250932429,0.49995227721760965,0.499996536751243,0.49999248706249755,0.50000402378906283,0.50001491790182595,0.49999419632786035,0.50000025983901375,0.49998853395097292,0.49998566687592033,0.49999431242692549,0.50001269274505056,0.49983426039890072,0.50000940064398636,0.50000957786395539,0.49998727424987649,0.50000335906965465,0.49998177765753959,0.50004746860158411,0.50000563960949096,0.50013850746817168,0.49999803931112841,0.50004265680553772,0.49996595033739627,0.50000908716017201,0.49999969799287691,0.50000856945555017,0.49997774187861355,0.49999743986383116,0.50000162971182061,0.49999972925392466,0.49998006884515972,0.49998057314580091,0.50001801485406494,0.49990876568141318,0.5000009959857461,0.50001205812808081,0.50000032050431031,0.5000148262089974,0.50000344453651058,0.4999877137621242,0.49998670091027747,0.50001465720162042,0.50001639192022873,0.49993185513573635,0.5000206258915757,0.49999435971709627,0.49981060897702589,0.50001176715238804,0.50007261295088701,0.49999807172427424,0.50000871974634709,0.50000295057437072,0.50001307094758429,0.50000250791415324,0.49998493701966873,0.50001185024597461,0.49999891782597594,0.50001198705454142,0.49999805898194327,0.50002150081010588,0.5000108991121861,0.49996397120865593,0.49998873741246502,0.49997196171117619,0.49999854265464622,0.50000765723706786,0.50000781262655636,0.50001317785025312,0.50000473495676512,0.49996452734210267,0.49998187634177121,0.50003627110625426,0.4998332058047511,0.49999656722591468,0.49999242572875485,0.50002382437179804,0.49998947343487737,0.49999504292517122,0.50004161906990796,0.4999974327589754,0.49999975628958537,0.50000210973472325,0.49998714078657269,0.49998895433287721,0.50000896660190164,0.4999416271010228,0.50000929053707699,0.49999608162688208,0.49999093441734149,0.50033315789537181,0.50000591090099145,0.49997400931448172,0.50000403069395183,0.49992244811660191,0.50000198807888796,0.5000073998369523,0.49949640188257138,0.49999816809978387,0.49998822966828244,0.5002588770811196,0.50000296137025002,0.5000046998551213,0.50027173674364622,0.49998063917667285,0.50000033890590401,0.49997861089657286,0.49999423827289124,0.50000991911088133,0.50000796529205038,0.50001117077319157,0.49999034780402385,0.49993577543057494,0.50000900067899745,0.5000124247692197,0.50088578590691646,0.49991919095146714,0.50001406102075741,0.49999856535796899,0.49999612212389283,0.50001036139952737,0.49996485328852786,0.49999730066431464,0.49992221713043555,0.50001918343425822,0.5000142034815781,0.5000056312167952,0.50000695876198464,0.50001160293580749,0.4999892451098974,0.50012644537354234,0.5000008924867656,0.50000801455966959,0.50000743012374627,0.50001623531784944,0.49999235265270797,0.49998763627906462,0.49998445049296203,0.50004936861182681,0.50000987958181309,0.4999957609758402,0.50003112124976468,0.50009458001086604,0.50000577061087503,0.49996560402234935,0.49986686606068009,0.50000230394162504,0.50001007369175188,0.50002745321103703,0.50001282002659941,0.49999356827652763,0.50002032136955765,0.49998437929653727,0.50026103338031047,0.50000820393647138,0.49997902697856311,0.5000042655981487,0.49997156509255569,0.4999978058201735,0.50008377093031808,0.50001027632830597,0.49997703271384475,0.5000098119271742,0.50001997322826341,0.49995314095340726,0.50000013622782602,0.49996705477738607,0.49999330965999833,0.49984820102686184,0.49997300618999968,0.50000740739135996,0.50000348518322035,0.49999276525741265,0.49999282366924924,0.49999641253576571,0.49998416683804942,0.50000135754723896,0.50069265103304417,0.50001854894787146,0.49997349224312754,0.49997390152136295,0.4999986285800444,0.49999407266716217,0.50003541283605435,0.5000085363804716,0.50004358674104898,0.50002010902402672,0.50000685755936369,0.50000204966896988,0.49998363933814227,0.50003017125567162,0.49996266464066608,0.49997633806316533,0.49997998017677292,0.50000862007212754,0.49991026608269118,0.50003529990885764,0.49999842820299989,0.49996527352691911,0.49998211590684916,0.49998494480743388,0.50001748245106281,0.49997937836671413,0.49999695954096274,0.50002170979698679,0.50000084232171116,0.49998793678305187,0.50000413585514991,0.50000519925169962,0.50000690075359389,0.5000069773454775,0.50001485839972604,0.50000018210730335,0.49999276264576931,0.50001445011404511,0.49998707159182554,0.50002318661675793,0.49998695679396166,0.49995991339414342,0.50000059114488238,0.50000734514899914,0.50001486359826808,0.49999283994570326,0.49999586188400286,0.50001574218959033,0.50000437370019868,0.50000533211473996,0.49931557875396465,0.50000853506180443,0.49998547088019724,0.49999400274682804,0.49999038359507236,0.5000236765996483,0.49999135531952144,0.49998024329532531,0.49998190333773956,0.49999518609488924,0.49994125030847153,0.4999940956299625,0.50000708057841392,0.49995738239937748,0.49999263930390314,0.49998928718765395,0.4999964273331019,0.49999022355522876,0.4999874803316039,0.50001269672451887,0.49998972118767349,0.49991042934292751,0.49998978923088649,0.500071075450363,0.50000989151593589,0.5000042263224993,0.49998079730501427,0.50000112356546234,0.49999620453951915,0.50001551164747038,0.50000302246236805,0.49995356799370766,0.49999255859496439,0.50002673368853201,0.49998254047042245,0.49998670983226956,0.49999307657963377,0.5000087939241098,0.50001507224675945,0.49998690504455967,0.49999565120786382,0.49999356302421716,0.5000036376990411,0.49998778310382741,0.49998694939113175,0.49999473982280357,0.50000604643220981,0.50002430639985307,0.49998034152584958,0.5000022356336159,0.49999515836977121,0.49994403756480565,0.50001306171308768,0.50008057273289086,0.50000445058390031,0.49999931769284317,0.50000632469274398,0.49999545346560814,0.49997577177438968,0.49997883942468407,0.49997816567573411,0.50008420369920314,0.49999951843184398,0.50005872526075545,0.49999385882555059,0.50000242152358532,0.50007130058865135,0.50001056932102672,0.50000427571555839,0.50000434365761504,0.49998984678421216,0.50000842888649588,0.49999428784199779,0.50000237682819626,0.50002743095046354,0.50002237599416322,0.5000295476659431,0.50003117755429682,0.50000357327100908,0.49999126106437303,0.49997031844048873,0.50005773707372614,0.49982295815395456,0.50001282408862024,0.49999178019246432,0.50000168691752755,0.50001046184612408,0.5000226648871231,0.49999659713454958,0.49999105649715353,0.49989545615048403,0.4999718054317614,0.50000516381035565,0.49998225167404203,0.50000883948460728,0.50005894234891868,0.49999156747293938,0.49994910766685963,0.49998069084366636,0.49993580967942586,0.50002129741894008,0.50005555207520358,0.50000875821788249,0.50001596244174118,0.49999117092437156,0.49996722471914518,0.50000134836036914,0.50000977592767759,0.50001071056179591,0.50004546128256455,0.50000410583241006,0.49994556046458916,0.49999132551652115,0.50001417737623366,0.50000069703953409,0.49997725446556185,0.50024994206380669,0.50001449038880408,0.50000157973021286,0.49999072477759243,0.50000323155428528,0.49999333577537897,0.49998656686366938,0.50002530398667056,0.49998380517623725,0.50001041906831611,0.49998569601801224,0.49999842590832028,0.49999515916454385,0.49999094432095764,0.4999981727513147,0.49999830945521734,0.50000864963554958,0.50001189369006027,0.49999106327348636,0.49997807499338642,0.49999140402251152,0.50000747488860653,0.50006594920671588,0.50001388986117279,0.49999349257870801,0.49999724908741028,0.49999645837887696,0.49996765649649139,0.50000730421472561,0.50007177558863647,0.5000165182212567,0.50007397644717599,0.49997182654985473,0.50013019316028717,0.49997162708217963,0.50001037802704451,0.49998968837127739,0.49997240711033597,0.50001012177315152,0.50003816183211647,0.50001214815087702,0.50000312149202697,0.49999509347434545,0.49999425139422959,0.50001019389138301,0.49992710531278728,0.49999914724079703,0.50000291152326692,0.49999713794596506,0.49999439536218176,0.49999302334424361,0.49999801046425707,0.50002405849634868,0.5000298626871954,0.50001219138447495,0.50004464553863359,0.49998092090639545,0.49999230550354379,0.50006361061465054,0.50008824563810528,0.50021363061062174,0.5000343538796429,0.50004564831461717,0.50002711443647163,0.50000831137078861,0.49999039413158525,0.4999898417411166,0.49999829333020834,0.50001336153623133,0.50000823261191341,0.49999406924012557,0.49999771899159307,0.50008888947709351,0.50000685507768516,0.49996600056306661,0.50007761295855768,0.500008421755054,0.50002490455601778,0.50000732004031923,0.49996531320935877,0.49990673368474137,0.49999203956444288,0.50000516744068901,0.49993902023999803,0.49998586274879486,0.50000910824631739,0.50000030755350799,0.49999219777409376,0.49997653012116106,0.49997439750779377,0.49998517757318828,0.50004815857271778,0.49999559087161888,0.49998971874404197,0.49999952761781646,0.4999932466235848,0.49996272888131899,0.49998680771358422,0.50000859086553251,0.50000658702026335,0.50010505005558126,0.49998919998043084,0.49996257418183832,0.49998847514365863,0.50001710275868427,0.50005998653966488,0.49998928672404486,0.4999748812251853,0.49998400289766759,0.5000149568475355,0.49999889706857598,0.50000760114461329,0.50000919957424361,0.50001002502222136,0.49803828153710228,0.50000695744890056,0.50000261701120974,0.49997968595758663,0.50002142387892046,0.50000908043068537,0.49998568596116283,0.50000311637075567,0.49997792049594569,0.49998841862809951,0.49999440950812246,0.50000458813110604,0.49998886396392944,0.49997716216434523,0.49999831910763703,0.49991186155195849,0.50000047345426168,0.50000363324295716,0.50000110630431216,0.49999193413786364,0.49988699753431259,0.49995064430455616,0.49998203151516618,0.49998806336748708,0.49990376322707969,0.50000889288754613,0.50001281514029927,0.5001083857568438,0.49999449011861363,0.50000642132475859,0.500000836695914,0.50000821683148355,0.50001098840943348,0.5000045325053869,0.50000480780946821,0.50013047692735269,0.49998394099363863,0.4999862844196552,0.49999114974345615,0.49999041245087206,0.50005474834677666,0.50003871642600095,0.49997667535904539,0.4999897124654954,0.49999229118410682,0.50003914029091889,0.50001471663182806,0.5000073685271802,0.49989700019110594,0.49998222909296552,0.49999822249440207,0.50001472983823181,0.49998453709009216,0.50001274488951164,0.50002554300927082,0.49999076440521217,0.49998534755929808,0.49999529279002997,0.50001327456195721,0.50005609934818507,0.49999776743078783,0.49999634551589012,0.49999242145176992,0.49998300826066633,0.49999118629467454,0.49999493959991514,0.50157115707117095,0.49998019489404166,0.50000472095474247,0.49999445785741564,0.50016077017802796,0.49993518941419385,0.50004663464703991,0.49999242515977321,0.4999987909534081,0.50001272182647338,0.50000438790284629,0.4999743679167627,0.50002901825982204,0.50002301841325492,0.4999090132551674,0.49999493404765988,0.49998080377921289,0.50000355701357402,0.49998220812128946,0.50000562602086185,0.50000883854687761,0.49998477399619079,0.500014291495119,0.49997997190708682,0.5000124571451664,0.49998938083485733,0.49999657565689465,0.49999883955063584,0.49999606987063339,0.49994834561828494,0.5000003637881707,0.49998760006045495,0.49998940558240135,0.50001142296857737,0.50006833504389736,0.50000602883033851,0.50009369518331315,0.49998654463439024,0.50001411380555505,0.50004927138440225,0.50000251583179645,0.49998895116636688,0.50001073996632883,0.50000737029398035,0.49994463767300412,0.49999161916502788,0.49998956941379163,0.49999135565512154,0.50001884217033421,0.50012884108596944,0.50001463984629502,0.50002217280098604,0.50000508272857191,0.49995584691212358,0.5000079738614045,0.49997996707258774,0.50000919466704385,0.4999893192190511,0.49999338917793401,0.49998229421064433,0.49999187285078617,0.49998903238756748,0.49993977683407115,0.50000692860212581,0.50001473294850118,0.50062448875126409,0.49995824723921328,0.50000894119880646,0.4999823469992275,0.50291029447357094,0.49992022922881102,0.49999193166585598,0.50000109275464533,0.5000064395471473,0.50000027577093109,0.49997283158133826,0.50014588125308168,0.4999893701433421,0.49998832149257072,0.4999857540034337,0.50002099973883607,0.49997548265628228,0.4999831331398617,0.49995893919612905,0.50000837584988145,0.50000352176530216,0.49999142752824033,0.50001204436404068,0.50003532757568481,0.49998952277025477,0.5000103812834219,0.4999797888918926,0.49997577623477096,0.49999412999161913,0.49998666600358088,0.49997584272344547,0.50000555333673724,0.50004748456721526,0.49999199759405633,0.5000386427256952,0.50002039823573496,0.50001449360223249,0.49999813101591833,0.49998755119064697,0.50001179795518258,0.50000961578185787,0.50000956979450906,0.50002119465926653,0.49998511119438671,0.49999841179905891,0.49999471586912658,0.50002954812567579,0.49996183192257332,0.4999517498682447,0.49999195336634661,0.50013437644628744,0.50000584171964191,0.500001463659976,0.49998788057480825,0.50002315820593535,0.50000400385381749,0.49998659210847274,0.49999057789368079,0.50005666565162621,0.49998163443958127,0.5000033076975321,0.50000635026017504,0.50000652074135676,0.50000679678305626,0.4999971002365014,0.49961211140522349,0.49999764805975,0.49997611333011688,0.49999243530234022,0.50000424848234859,0.50000484146974911,0.4999817809087253,0.49999158497446694,0.49993667551306242,0.49999366775095988,0.50001659718660452,0.50018364390933889,0.50001588858095758,0.5000062616383748,0.49999750531098563,0.49998542885185665,0.50000528210862483,0.49999076651024055,0.4999970288444851,0.50000128488227469,0.49993439242222421,0.50000772349362577,0.49998335175747449,0.50000092205240076,0.49999259264650997,0.50005116600669641,0.4999875703410438,0.50005887808622229,0.50000240127770601,0.50000207335417379,0.49999011356020701,0.50000082639883769,0.5000327100992874,0.50000434002898209,0.50013039914662749,0.4999906587047877,0.49999943430992755,0.50001880445951608,0.49999100356624399,0.499999108976171,0.50000423171237518,0.49997257029351999,0.49999891632726556,0.49998629150067131,0.50000359279188988,0.49999042961038698,0.49995075772363551,0.49999524101652371,0.4999853762918095,0.50000357367621961,0.50001717129284151,0.49971033627327821,0.50001640974815798,0.49999476750587446,0.49999244235642798,0.50001515061582147,0.49999953628052868,0.49998903762373548,0.49995282954039683,0.50007085266234064,0.49997823291240079,0.5000078554063595,0.49998782570478645,0.50000960071761469,0.50001003631337559,0.49999240138566609,0.50000844983922799,0.50003112929119842,0.50006210881700863,0.49999372812543147,0.50002471310902652,0.49992694729069581,0.49999238090784853,0.49996633304925286,0.50000697512086822,0.50001104288863674,0.49999459209810321,0.50001846253641369,0.49998005471820262,0.50006478668209897,0.50001596042155139,0.50000664586557497,0.49998414122865503,0.50000641023427628,0.49999882350884373,0.50002187699690226,0.50001585472297305,0.49998632884883737,0.50000765894666022,0.50001865049939209,0.499993619873076,0.50001270682013155,0.50000034627628243,0.49999708244927338,0.50001032877946261,0.49998081393302318,0.49981521411288193,0.49997866889644327,0.50001108562742169,0.50005509805249959,0.50000601039692971,0.50000953452862684,0.49998879197990648,0.50000031056969463,0.49999425318331281,0.49999572337176373,0.50000029100539234,0.49977448028127269,0.49999340485094262,0.50003055050689216,0.5000303576656463,0.49999836321436875,0.49997400293859151,0.50000406522613516,0.4999761227268153,0.49915053011405636,0.49999117819912248,0.50016247091716781,0.5000443332578085,0.50000011549998979,0.49998426684024133,0.50005176975463839,0.49995182182528114,0.49998791992738617,0.49998871320867183,0.50001848798918769,0.49999835297080403,0.49998338287044503,0.49998827873145035,0.5000001786409165,0.50002645648041177,0.49994360783809089,0.49999598856827721,0.50000425884533028,0.49998644389189312,0.4999957114055868,0.5000097159797332,0.50006410515378796,0.49998889683572489,0.50006469553457311,0.50000147234778902,0.50000747732646644,0.50026274482956057,0.50001415918492653,0.50000117631997787,0.49987736688075129,0.50000969225866876,0.49997744368797314,0.50001065536990041,0.50002294948831538,0.50002859901254049,0.49987845933163372,0.50005026912834216,0.50001501997786013,0.49999400562698704,0.49998930258475333,0.50001742173489638,0.500057706959249,0.50001604270820244,0.49999651071351886,0.50001840626586191,0.49998615114805423,0.49998218362636082,0.49998601395173203,0.49999018469934958,0.50001911978671243,0.49998272974765673,0.49999540042130391,0.49996366583837148,0.50003560529968516,0.50002618774268026,0.50001592539882322,0.50000597749620035,0.49943544574365528,0.4999978247160502,0.49999651086584512,0.49996370704124288,0.4999903626689105,0.50000613211324607,0.50002360057274076,0.50001650430420241,0.49999520003650555,0.49999035256477714,0.50000237517882506,0.49998765982361937,0.50003004652248284,0.49992999234335034,0.50000949169714071,0.49999106390730141,0.50000393520130293,0.50085141467221039,0.49999136257846866,0.49996600335867414,0.5002423549884023,0.49998994107129113,0.49999533925828371,0.49998819630392499,0.5000131084666507,0.50131230412103367,0.50000426612575999,0.50001044094179969,0.49993715689321055,0.5000329838973584,0.49999048600657892,0.50000765731588903,0.49999628980565758,0.49999930843548368,0.49998649753912766,0.50000749165987846,0.49914745526357757,0.49997160066721708,0.50001896908469567,0.4999931099826167,0.50000209666532947,0.50000504303156679,0.50000877824765788,0.50001587593373731,0.50001218513565127,0.50001309819420092,0.49999737145739903,0.50028848908896462,0.49997156065332787,0.49995394345493849,0.49998559913864349,0.49999267359318489,0.49996388153989502,0.49994475243977504,0.50001245760935054,0.5000017328883245,0.49998080364410352,0.50001835088919522,0.49998070361763247,0.49998759702267087,0.49998442744396093,0.50002193590748889,0.50001261226391247,0.49997899070240187,0.49999473863517491,0.50000891499880384,0.50002005385666093,0.50000883834741616,0.50001512310663832,0.49992471330750821,0.499991070512602,0.50001641337125857,0.49998599519642511,0.50000806732354008,0.49999548360523832,0.500008719758954,0.49997690534068623,0.50001429738130265,0.4999836424903909,0.49998056327973794,0.50000435183116254,0.49999191737208859,0.49998407485587559,0.50000086681641465,0.49999097283637806,0.49998403570208183,0.50003103350257005,0.50002729948434033,0.49999014406835007,0.50000533295932437,0.50001947745129582,0.49993728970096185,0.50002432009208075,0.50002829320320008,0.50000751538818999,0.49998278406760749,0.5000013026221114,0.50000821981049659,0.50000760641587982,0.499982938058676,0.49973784604468352,0.50001299680413891,0.5000039365545309,0.50001859917415137,0.50004012226859762,0.4999664101352253,0.50000564165938011,0.50001415938213978,0.50001513324507385,0.49998433016515015,0.50005198986629684,0.49998684000224214,0.50000999000437008,0.50004045075636427,0.49999087526028729,0.49999574859102619,0.50001345561092403,0.49998811408684418,0.50003965122922345,0.50011954000857961,0.50001502566918821,0.50002255479561086,0.50000996045499579,0.49999122490739706,0.50001740425852614,0.49998594594796586,0.49999260949911967,0.50000961523925846,0.4999516888259633,0.50000833620696838,0.50000903873297786,0.50000715782258653,0.50001081917904466,0.49998739786656188,0.50001682812951143,0.50017402163943536,0.49999066556324534,0.50000005970492201,0.50001083185199513,0.50000923936282582,0.49995025367037704,0.50009798187800147,0.49999829285628,0.49998325000615401,0.49997959539709441]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/runner.c b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/runner.c deleted file mode 100644 index 1a334b642b49..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/runner.c +++ /dev/null @@ -1,187 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2018 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -/** -* Generate Cephes test fixtures. -* -* ## Notes -* -* - Run this script from the directory in which fixtures should be written. -* -*/ - -#include -#include - -/** -* Define prototypes for external functions. -*/ -extern double fresnl( double x, double *S, double *C ); - -/** -* Generates a random number on the interval [0,1]. -* -* @return random number -*/ -double rand_double() { - int r = rand(); - return (double)r / ( (double)RAND_MAX + 1.0 ); -} - -/** -* Generates an array of pseudorandom doubles drawn from a uniform distribution. -* -* @param out output array -* @param len array length -* @param a lower bound (inclusive) -* @param b upper bound (exclusive) -*/ -void rand_array_f64( double *out, const unsigned int len, const double a, const double b ) { - unsigned int i; - double delta; - - delta = b - a; - - for ( i = 0; i < len; i++ ) { - out[ i ] = a + ( rand_double()*delta ); - } -} - -/** -* Writes an array of doubles to a file as a series of comma-separated values. -* -* @param f file to write to -* @param x array of doubles -* @param len array length -*/ -void write_array_f64( FILE *f, const double *x, const unsigned int len ) { - unsigned int i; - - for ( i = 0; i < len; i++ ) { - fprintf( f, "%.17g", x[ i ] ); - if ( i < len-1 ) { - fprintf( f, "," ); - } - } -} - -/** -* Writes a named array of doubles to a file as JSON. -* -* @param f file to write to -* @param name array name -* @param x data -* @param len array length -*/ -void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) { - fprintf( f, "\"%s\":[", name ); - write_array_f64( f, x, len ); - fprintf( f, "]" ); -} - -/** -* Writes data to a file as JSON. -* -* @param f file to write to -* @param x domain -* @param S S(x) -* @param len array length -*/ -void write_data_as_json( FILE *f, const double *x, const double *S, const unsigned int len ) { - fprintf( f, "{" ); - write_named_array_f64( f, "x", x, len ); - fprintf( f, "," ); - write_named_array_f64( f, "S", S, len ); - fprintf( f, "}" ); -} - -/** -* Generates test fixtures. -* -* @param x domain -* @param len number of values in the domain -* @param name output filename -*/ -void generate( const double *x, const unsigned int len, const char *name ) { - unsigned int i; - double *S; - double C; - FILE *f; - - // Allocate an output array: - S = (double*) malloc( len * sizeof(double) ); - if ( S == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - for ( i = 0; i < len; i++ ) { - fresnl( x[i], S + i, &C ); - } - // Open a new file: - f = fopen( name, "w" ); - if ( f == NULL ) { - printf( "Error opening file.\n" ); - exit( 1 ); - } - // Write data as JSON: - write_data_as_json( f, x, S, len ); - - // Close the file: - fclose( f ); - - // Free allocated memory: - free( S ); -} - -/** -* Main execution sequence. -*/ -int main( void ) { - unsigned int len; - double *x; - - // Define the array length: - len = 1000; - - // Allocate an array: - x = (double*) malloc( len * sizeof(double) ); - if ( x == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - rand_array_f64( x, len, 0.0, 10.0 ); - generate( x, len, "small.json" ); - - rand_array_f64( x, len, 10.0, 100.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 100.0, 36973.0 ); - generate( x, len, "medium.json" ); - - rand_array_f64( x, len, 40000.0, 60000.0 ); - generate( x, len, "huge.json" ); - - // Free allocated memory: - free( x ); - - return 0; -} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/small.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/small.json deleted file mode 100644 index 4441b9c46c6b..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/c/cephes/small.json +++ /dev/null @@ -1 +0,0 @@ -{"x":[7.8263692557811737e-05,1.3153778808191419,7.5560532184317708,4.5865013170987368,5.3276723716408014,2.1895918622612953,0.47044616192579269,6.7886471655219793,6.7929640552029014,9.3469289550557733,3.8350207731127739,5.1941637182608247,8.3096534572541714,0.34572110511362553,0.53461635019630194,5.2970019308850169,6.71149383764714,0.07698186207562685,3.8341565057635307,0.66842237487435341,4.1748597426339984,6.8677271204069257,5.8897664258256555,9.30436494294554,8.4616689011454582,5.2692877734079957,0.91964890714734793,6.5391896199434996,4.1599935665726662,7.0119059411808848,9.1032083006575704,7.6219803933054209,2.6245299354195595,0.47464513685554266,7.3608188424259424,3.2823422597721219,6.3263856759294868,7.5641048559919,9.9103738507255912,3.6533867055550218,2.4703888548538089,9.8255028575658798,7.2266040043905377,7.5335583463311195,6.5151857445016503,0.72685882914811373,6.3163471780717373,8.8470712816342711,2.7270996663719416,4.3641140544787049,7.6649477751925588,4.7773176478222013,2.3777443356812,2.7490684017539024,3.5926497913897038,1.6650720033794641,4.8651738278567791,8.976562861353159,9.0920810122042894,0.60564327519387007,9.046530919149518,5.0452289450913668,5.1629196340218186,3.190329410135746,9.8664211155846715,4.9397668475285172,2.66144507098943,0.90732894837856293,9.4776424951851368,0.73749075178056955,5.0070709455758333,3.8414214784279466,2.7708180015906692,9.1381744155660272,5.2974739344790578,4.6444582473486662,9.4097995338961482,0.50083983689546585,7.6151426183059812,7.7020454639568925,8.278172998689115,1.2536537554115057,0.15867701265960932,6.8845530087128282,8.6824713135138154,6.2954341759905219,7.3622451396659017,7.2541199810802937,9.9945787852630019,8.8857221323996782,2.3319487832486629,3.0632183095440269,3.5101524787023664,5.1327370200306177,5.9111358225345612,8.4598155971616507,4.1208077035844326,8.4151063906028867,2.6931727211922407,4.153946153819561,5.3730397531762719,4.6791736828163266,2.8721237136051059,1.7832770384848118,1.5371997701004148,5.7165481057018042,8.0240572663024068,0.33053754363209009,5.3444984089583158,4.9848011881113052,9.5536075951531529,7.4829265056177974,5.5458384798839688,8.9073748094961047,6.2484929105266929,8.4203961212188005,1.5976752247661352,2.1275151474401355,7.1470996737480164,1.3042726181447506,0.90990336611866951,2.7458814764395356,0.029996009543538094,4.1429326310753822,0.26876290794461966,7.0981959253549576,9.3789729895070195,2.3991080466657877,1.808959087356925,3.1753953639417887,8.8699066173285246,6.5205868566408753,1.5033505950123072,6.8134621344506741,3.8581470353528857,3.8772533694282174,4.9974103225395083,1.4753300324082375,5.8718662289902568,8.4557565907016397,5.9010860975831747,9.5540882600471377,5.5614613834768534,1.4815156208351254,9.8330509662628174,4.0876669343560934,1.4181977137923241,5.6489868042990565,2.5212640641257167,4.885145490989089,4.6403052844107151,9.6109514031559229,1.2603080598637462,1.997571992687881,3.1924967374652624,6.2926915613934398,1.2671215878799558,6.5125374123454094,6.2163402559235692,8.0307299550622702,2.4784175818786025,4.7643180284649134,3.8931416952982545,2.0325033459812403,0.28375181369483471,9.0167349856346846,4.2649741284549236,1.4202103205025196,9.4748677965253592,4.1031303536146879,1.3118853140622377,8.8564837072044611,0.92173629906028509,1.6219855193048716,0.71063565090298653,3.6533902864903212,2.5305736344307661,1.3510936824604869,7.8315316839143634,4.5530728390440345,3.4952414454892278,4.5230016903951764,8.0894458666443825,9.3167439987882972,6.5164605481550097,2.1524838404729962,6.7959236726164818,9.0892188483849168,2.5012559397146106,8.608598355203867,4.7126232832670212,5.0595587491989136,6.0039373813197017,8.1756148254498839,7.5584353180602193,4.622449791058898,9.5136744994670153,6.3273869967088103,4.3933032033964992,8.2469738647341728,6.8898091278970242,7.0220664842054248,9.871454993262887,9.5441490225493908,8.5126966796815395,2.8931620297953486,5.3742574108764529,5.1443466590717435,1.0343392798677087,4.1402848297730088,5.7671663956716657,8.7656571855768561,4.4003865914419293,7.2974768001586199,8.6926373746246099,7.1564233442768455,8.0072032660245895,7.0653547393158078,7.417158973403275,0.19092403817921877,8.8603111682459712,5.2498740516602993,4.6332273399457335,0.65193872898817062,7.1342232031747699,4.8894315911456943,6.6767906490713358,6.820491193793714,1.9955474697053432,9.1663389513269067,8.6588266864418983,8.9001867920160294,5.4394830670207739,1.3919499889016151,4.5034743612632155,9.8936249921098351,2.1553198201581836,4.4602342648431659,3.157324125058949,5.1465945737436414,8.815041184425354,4.3972556246444583,4.6753178117796779,8.0664991680532694,3.6515806009992957,2.1151895727962255,9.9911665357649326,1.5360447950661182,6.3048826949670911,6.163503653369844,0.0059504248201847076,0.0087899994105100632,7.7335201576352119,7.2733498970046639,3.1917758798226714,4.1772371577098966,6.8249423196539283,6.8056198349222541,2.0526188006624579,8.3641987945884466,7.0892061060294509,8.2870795158669353,0.9454880328848958,0.81737609580159187,7.6400485308840871,6.2957183597609401,2.1385217737406492,2.1354679949581623,0.81060797441750765,3.8882323773577809,9.52159667853266,9.4754506135359406,3.89853585511446,2.6921474188566208,6.9216897897422314,2.8403503680601716,7.7686582133173943,7.8386520221829414,4.2245981749147177,2.8215588536113501,1.9396747276186943,0.11316226795315742,1.9182383734732866,9.8323579737916589,2.4405424669384956,8.1972609320655465,1.3645493797957897,3.9814369054511189,6.0101010743528605,1.7688036849722266,8.2835471676662564,1.5773117961362004,9.8793700011447072,2.5716865574941039,2.3359919292852283,1.016373778693378,2.1941064530983567,6.3471743930131197,6.9600730435922742,7.9476981237530708,6.9624281162396073,7.5294041261076927,6.6952064167708158,6.3342990633100271,0.5644066259264946,5.9821663610637188,2.2700772155076265,3.1877788016572595,6.998344399034977,1.1743693519383669,7.625707215629518,5.2612327644601464,5.5391134554520249,5.8798891305923462,3.2966638822108507,7.0298941154032946,1.4304526010528207,1.6168770892545581,4.8532517533749342,8.6022569518536329,8.1326571246609092,5.5683578224852681,7.3899660864844918,3.1600733799859881,1.3533221557736397,5.2854826766997576,3.1073886575177312,5.881191217340529,5.1808358682319522,4.3084779195487499,2.5884275743737817,3.7022627564147115,3.9301760355010629,4.4686594232916832,4.7589622344821692,3.8783121854066849,2.792930481955409,0.78263208270072937,3.6974200746044517,2.5392228132113814,6.7178415134549141,6.7623692099004984,5.1393637200817466,7.2860836330801249,7.2076781978830695,9.447528226301074,4.6069733798503876,9.4016311969608068,3.2156008994206786,4.604341727681458,5.1714531751349568,6.6135549638420343,4.018329051323235,6.0563970357179642,9.8650267068296671,1.5039388928562403,6.7009840020909905,3.4381755860522389,5.4171016858890653,5.2280771313235164,8.2923870673403144,0.14950568787753582,2.742097326554358,6.429788856767118,5.4613660043105483,9.1784771857783198,2.6661332091316581,9.7008667374029756,2.4673314532265067,8.4397536842152476,6.9402366550639272,4.5575159741565585,8.1710133142769337,0.2208370016887784,1.6074891109019518,7.0694995066151023,7.0782630052417517,4.3663844931870699,5.8242111653089523,7.5171009264886379,9.9153303215280175,6.9567915191873908,2.7951174275949597,7.5386274605989456,1.7117892857640982,0.042539234273135662,4.9569107592105865,0.79916884656995535,1.6308105550706387,9.033011831343174,7.82992007676512,7.4667914677411318,4.3642567610368133,0.063416901975870132,5.8478720020502806,5.1847842242568731,0.66849766299128532,5.4402271239086986,3.8973141089081764,2.1582589205354452,3.8576943287625909,6.2686137016862631,6.5905332984402776,7.0931984623894095,5.3866128902882338,2.8028892306610942,8.1593216536566615,3.7190968636423349,6.8610163405537605,3.101689382456243,0.093475216999650002,1.0379728442057967,5.2096006879583001,7.7588032837957144,2.206851476803422,0.55278790649026632,0.70634870789945126,1.6027391934767365,7.2376373037695885,2.9702210985124111,0.50602594390511513,4.7780431713908911,4.5716189593076706,5.1998848607763648,4.4648957625031471,1.5031153336167336,2.8594238590449095,8.336821342818439,6.9563739933073521,5.7777599571272731,6.8116446537896991,3.3117495523765683,0.57475271169096231,9.8688298836350441,5.4239314887672663,0.016574161127209663,8.5619261907413602,0.29355479869991541,3.775504045188427,4.8965170281007886,5.76172960922122,7.389587271027267,6.7933219857513905,5.3626676881685853,0.35587701946496964,1.2250689323991537,9.7335564158856869,1.8827579682692885,3.5131874354556203,6.1412551952525973,6.076114671304822,1.2593281734734774,5.5286214221268892,9.5402849512174726,3.5692497761920094,8.3810163894668221,9.7425233572721481,2.5901419203728437,2.5152759766206145,4.2433587461709976,8.130480102263391,8.9791423687711358,2.4458622094243765,7.6061729341745377,6.9485641969367862,4.5185122964903712,2.6362024759873748,6.6550345486029983,1.1657104548066854,2.0956230582669377,1.1367566930130124,5.4697483638301492,0.060793701559305191,1.7597425822168589,5.9935930883511901,4.3190828245133162,0.82506539765745401,6.8741448828950524,3.7531006149947643,8.3620655862614512,1.2363737402483821,9.7334620263427496,0.29635292012244463,0.80353081692010164,4.942446262575686,7.6943737873807549,9.3403047230094671,2.5015527196228504,3.5965782776474953,7.691140566021204,4.9995533097535372,7.4925161525607109,6.7190347239375114,6.8166578002274036,7.567701768130064,0.36367618944495916,2.3057188466191292,2.2166731720790267,5.6260204780846834,6.5262191975489259,6.1661042785272002,3.7146574631333351,2.2480119531974196,2.3369149817153811,6.5301159769296646,1.6592753631994128,7.4410422751680017,1.5975769842043519,0.47638602554798126,6.6199351102113724,1.2494491320103407,9.4915714720264077,4.8418046301230788,6.2104563694447279,9.140249858610332,0.17944519873708487,5.9354565758258104,7.2187163541093469,4.9658200098201632,0.53694391157478094,4.4163260376080871,5.1917486405000091,7.7194415125995874,0.65356267616152763,4.4279033597558737,9.7718020668253303,4.6774136088788509,3.2905610324814916,4.4592986674979329,7.4327395344153047,2.0534130884334445,1.713793370872736,3.7251976691186428,9.3972540274262428,9.6485124947503209,2.5495747802779078,0.70335208438336849,1.2384877353906631,5.2633784012869,1.6008316213265061,5.1770721608772874,1.0518483817577362,8.4157604305073619,3.6856214003637433,4.2389047564938664,3.272275566123426,7.1354654431343079,5.7677586004137993,8.7188422912731767,7.5824576616287231,8.3659783331677318,6.9979110220447183,3.8906022720038891,9.3524160142987967,6.0560255125164986,3.6208362597972155,5.395046747289598,4.5507239177823067,4.0169217810034752,2.4044047622010112,0.83085712976753712,4.2157865036278963,4.7237994661554694,2.8976646438241005,1.049691429361701,2.163861496374011,8.0201864894479513,5.2743909182026982,6.6882035089656711,8.6364275263622403,2.4375031609088182,7.1156444679945707,2.6366292731836438,3.8282150309532881,0.8100551925599575,4.5976276928558946,2.328669810667634,7.9535261122509837,4.9134308472275734,0.032287808135151863,2.6611915789544582,6.6468883119523525,4.2519110022112727,1.8682474410161376,9.6347557753324509,1.3403914170339704,7.9585565766319633,9.4604457356035709,1.7115523293614388,6.0600129701197147,0.63803622964769602,3.4749166807159781,2.9246799880638719,5.0965822767466307,8.2583651645109057,8.3433845639228821,7.2644311469048262,3.2943428819999099,8.0208435514941812,6.3176327338442206,0.45340716373175383,0.41420438792556524,1.5331511059775949,7.6706501608714461,0.61731379944831133,5.193032156676054,9.2914978927001357,2.2051553288474679,2.0456291968002915,0.88992663193494081,6.9969098921865225,7.0646127359941602,4.9463091418147087,2.6177851902320981,7.1157127153128386,3.7836619513109326,2.0064452942460775,2.3260760959237814,4.3609623936936259,4.6949849370867014,8.6118743568658829,9.7723832400515676,4.4451920269057155,0.34243099391460419,5.2377174003049731,0.31638791784644127,7.5317377177998424,5.9158820053562522,8.2289103185757995,3.2957887044176459,2.3207809403538704,5.3652826882898808,4.3061840767040849,4.0358108654618263,9.8732473980635405,9.669096521101892,8.5053058294579387,8.6751422611996531,3.1160518759861588,1.4839040860533714,9.9759859079495072,6.3952329801395535,4.6807472547516227,9.3191472394391894,6.9077261863276362,8.1540676672011614,5.4153464641422033,5.7280652178451419,1.5921611525118351,9.452502722851932,8.2133369473740458,1.5541387954726815,0.41074767243117094,3.4361337637528777,1.1001942865550518,0.96538274083286524,5.1877327309921384,0.22405038587749004,5.6148371938616037,8.5687611717730761,5.1690810499712825,6.7452473193407059,7.3717489466071129,6.9846033165231347,0.22799546830356121,1.9198375614359975,6.7099100770428777,3.4587173722684383,0.66290278453379869,1.4071048470214009,9.2111748969182372,2.2165645938366652,3.8011459587141871,5.8601578557863832,1.6731280647218227,0.26339687407016754,6.91126455552876,7.6234388584271073,7.1369532449170947,0.77324317768216133,5.8980933530256152,9.2550304578617215,9.2969777109101415,4.3044600263237953,5.0596961099654436,8.3125597843900323,9.1923612961545587,6.0163764096796513,7.2383645689114928,5.1933663431555033,4.9081700574606657,1.6141941538080573,9.7611556807532907,5.7436028122901917,2.7325111115351319,5.3142729541286826,6.9855816289782524,6.6704929061233997,0.97432542126625776,5.4873628448694944,6.1073766648769379,6.6796543821692467,4.9512533936649561,5.7158260745927691,5.888880412094295,4.4131321553140879,1.5121689019724727,5.0227472838014364,7.3136381572112441,0.31656548846513033,0.5161671107634902,5.2206346392631531,3.2064229529350996,0.35059507470577955,2.4514233227819204,1.0718051809817553,3.829685146920383,5.5182942608371377,5.9716850752010942,6.1111056385561824,9.3525150371715426,7.7203029347583652,5.1314849033951759,4.8668115213513374,6.501277438364923,6.9699574774131179,4.0753774298354983,4.8684951383620501,4.7978285513818264,7.1045006206259131,5.3419864596799016,2.7664696471765637,6.0553817451000214,2.8010372864082456,7.0336945820599794,5.3048957278952003,9.3825402483344078,2.3540271865203977,4.1349422698840499,5.974762300029397,7.8300233511254191,9.2025236412882805,6.814911151304841,8.2117733126506209,5.2741299849003553,2.3026974964886904,1.436841506510973,8.9952111709862947,2.5142211653292179,6.515145362354815,0.048156087286770344,9.3593594012781978,2.7535305311903358,8.5876592621207237,2.7892856718972325,9.5243094023317099,5.0681995274499059,1.2294975155964494,4.164754250086844,7.0247138012200594,4.3649120815098286,1.077388096600771,7.6617479976266623,0.9986560745164752,4.4126522121950984,3.4457648964598775,2.9706417676061392,7.5762114021927118,3.385095945559442,3.3075835090130568,0.55606186855584383,5.7318291673436761,4.852860402315855,2.0248197019100189,1.1447458481416106,9.7434786707162857,8.6460949806496501,4.9184074439108372,3.6739483010023832,8.0491236969828606,1.6220381855964661,1.5957980137318373,0.57722928002476692,1.4925138931721449,4.6810142230242491,3.806083002127707,8.8370465440675616,4.2413353035226464,4.1224794974550605,6.5129459882155061,3.0832749092951417,0.60142465401440859,8.1441647233441472,8.9765689801424742,9.1949195042252541,9.0121794724836946,7.7004645625129342,1.7079624207690358,5.7244192296639085,0.31403776258230209,8.0326781747862697,5.2221464971080422,8.6162177613005042,2.7719816099852324,8.6949407123029232,5.8686197223141789,3.8917188625782728,8.1189538072794676,5.2567024854943156,9.3987148394808173,4.2003807099536061,5.798625061288476,7.491450454108417,8.807840826921165,3.3808469958603382,1.8954858835786581,7.4312601378187537,7.1891944762319326,8.7916182912886143,0.7286904938519001,7.1011358685791492,8.7905987817794085,3.5937941633164883,0.8985309861600399,1.6102914232760668,4.1679636016488075,0.96428553108125925,6.7469284264370799,5.6261159293353558,8.1304683675989509,8.7819178635254502,7.6936009991914034,6.3520536199212074,8.9652397250756621,8.7841295078396797,4.864707007072866,1.1307059461250901,3.774845371954143,3.8261959748342633,6.8757789814844728,1.2173956213518977,0.76821758877485991,1.4330205507576466,4.7764077968895435,7.0858797011896968,2.3801933508366346,3.9096661377698183,9.7588080912828445,6.2876665638759732,6.8119882699102163,9.0869056899100542,3.6240014340728521,8.592130821198225,7.9427791200578213,4.2887329729273915,0.73510955553501844,4.9863056279718876,4.8387283459305763,4.5073479227721691,4.9965733056887984,7.4075878132134676,9.3284346489235759,3.0012174649164081,1.4619563380256295,1.1001846380531788,0.80322036985307932,9.7247624024748802,4.08177450299263,2.3841037414968014,9.6316019911319017,8.334740330465138,1.980799357406795,1.2948154378682375,1.9630743842571974,3.3911915728822351,5.7567919697612524,4.4026808300986886,5.8567459229379892,4.3287726538255811,3.6820267233997583,3.823168994858861,6.0013265116140246,4.2947276635095477,1.4878742164000869,6.7019666777923703,9.9540061037987471,6.9806644460186362,4.0273988666012883,8.4927824838086963,8.1952718365937471,7.9338217666372657,3.7424939638003707,0.096078882925212383,4.7977860737591982,6.3905792171135545,6.4649520395323634,6.4489790145307779,7.9903476871550083,3.7736405478790402,3.5767177352681756,3.8950046431273222,3.3430675230920315,6.9358867686241865,1.4489745488390326,2.9152536764740944,6.6685633128508925,8.5436512716114521,3.1469888379797339,1.4414245542138815,6.022493951022625,0.05588197149336338,9.2082953220233321,3.8195493118837476,5.1653147209435701,3.4445553226396441,2.6413345616310835,2.9099980043247342,8.3364814566448331,1.2439070735126734,6.3461942598223686,0.48697450198233128,4.5804586261510849,3.7681655678898096,1.5587290143594146,7.5585565343499184,6.6597319720312953,0.11530605144798756,7.9488075850531459,5.6091441959142685,2.8865446290001273,4.1556021943688393,3.2061132788658142,5.1459029875695705,7.1915523521602154,8.4204390365630388,2.3189534153789282,4.6500704204663634,3.7335931695997715,0.50043068360537291,0.73850327171385288,2.0244934735819697,5.6618263339623809,8.3152392134070396,4.22552480828017,8.3954858314245939,2.9304344579577446,1.811957829631865,3.5752568021416664,9.3411015719175339,5.8941923221573234,3.6904046265408397,4.6305871522054076,6.2783033540472388,9.4445206038653851,4.0578630799427629,0.50481635611504316,4.4485011743381619,5.9592719143256545,7.4831107072532177,8.6417153663933277,1.3102306053042412,1.0457936022430658,6.6530810808762908,8.333778353407979,5.8128509484231472,6.5859356382861733,9.8203242151066661,0.18916015513241291,9.2147287866100669,1.9467886723577976,9.6772315492853522,5.2307245740666986,2.7879572752863169,7.1979475533589721,5.9045856352895498,8.3708185190334916,8.3469149051234126,6.5988757321611047,7.3044820735231042,6.4302668673917651,3.4952905774116516,5.348761910572648,6.6414728527888656,3.2342887995764613,8.691879790276289,4.4237031973898411,9.1796731483191252,2.7666756417602301,9.5175327127799392,1.1723781796172261,4.1600740002468228,8.363754702731967,9.6253542695194483,3.3292831433936954,5.2618170715868473,5.3595633385702968,8.1810732930898666,9.2989009851589799,6.6289303405210376,2.4322850164026022],"S":[2.5100341240262553e-13,0.69309597289575431,0.50596090987443354,0.50287424731427166,0.45044076982521919,0.44572503936524532,0.054047731667750946,0.54650085857257691,0.54572527433677243,0.4816284485970716,0.53836925922087886,0.50270905776190311,0.50284971736373174,0.02158155325169886,0.078861995837927065,0.44011958700918741,0.50295187413693143,0.00023886975803542618,0.53914181635384872,0.15095347892421829,0.54649099734658524,0.48837746660899906,0.52576902886378052,0.52143683395052676,0.46967215558166037,0.44391829559438017,0.35870842934758018,0.51818199327134584,0.53405296894152765,0.51147499353377224,0.50730788474809352,0.54133215247030098,0.52643090121727565,0.055490546631681292,0.54156245986057971,0.53630767329388751,0.44971361065336835,0.51376378209922502,0.5303296094279828,0.54336339383866117,0.62725798634787777,0.47851581390660547,0.45855920110726539,0.48388920426138055,0.53749839681374867,0.19139342160336395,0.45034788770353112,0.53283459880267203,0.43016535128356581,0.49600766583332739,0.51601276957498132,0.5191913636028791,0.6098084648994031,0.41458479240403961,0.48500137630466283,0.58285300161760811,0.44363848585617299,0.47809877617964197,0.51765538265394084,0.1135893894263956,0.53404096375374777,0.54068592085921541,0.53235477440981605,0.59646756342071261,0.51660437944218229,0.44747781508138645,0.48966964705086408,0.34680318561916129,0.53230110906070904,0.19932500616333593,0.5062477825082915,0.53252906584364379,0.4023024686503589,0.47522347079657451,0.44016454496575913,0.55289007090901232,0.47771158661887581,0.065054336512845229,0.54178760788531166,0.48020029522809354,0.47390887177776031,0.66095306787705843,0.002091665076941402,0.4732514850143365,0.47926962480307789,0.4578611633076628,0.54113848128562625,0.47524740766866397,0.46863043133930443,0.5026145847768988,0.57996316204486276,0.55579969587603517,0.41964861340079695,0.55349288322835499,0.50542573246313671,0.47079835219014315,0.49626432963370382,0.51105622179902455,0.45913202524656144,0.52858415265758152,0.48731203445417171,0.56689328691739749,0.39638786960493011,0.46675434738006938,0.68031405622997621,0.4726257980788402,0.46727465548093056,0.018868929197249799,0.46180183470248154,0.4841362156690745,0.48632771642561745,0.4574699425046157,0.5219799831643599,0.48186920178631487,0.49692342256830124,0.50590075357994624,0.64067025893111551,0.39270280376470024,0.49462208378449801,0.68829948906361993,0.34928158173794366,0.41665971997881412,1.4131524300294277e-05,0.51817089858080678,0.010155638384221635,0.53707124427514485,0.4661202652765275,0.61935882920430629,0.44269606127768008,0.59950767746679701,0.51764874838788255,0.53378542046243638,0.69619834029615224,0.53695921328990293,0.51648869622504878,0.49746450100641731,0.49660241832953428,0.7056086424845901,0.53991739915052683,0.47350918590272861,0.51528946253473806,0.48589152755252657,0.50687633340625937,0.70382951896967783,0.48470905753252347,0.46434695161140738,0.71393691986425989,0.44429572668676481,0.60944109571996763,0.43652514633803641,0.55020183981861337,0.47226781326817391,0.66503138192191191,0.34343419088872501,0.59584619893859414,0.45941951015033888,0.66906226265058144,0.53915532064820015,0.5275921677554779,0.47151531799763025,0.62572065712167568,0.53126436782282704,0.48177654807721298,0.34674090310139427,0.011948636158381527,0.51597766796257594,0.57165146673849188,0.71389222036059752,0.53144148843305783,0.47880797481774029,0.69163692289623624,0.52788081123559383,0.36073635038454016,0.62120526158373923,0.17962702875423242,0.54336645514898363,0.60420622712274041,0.70530821507492103,0.52011340864672273,0.47032277409643419,0.413542758324834,0.44635095667131169,0.52489124918409047,0.51058872623670093,0.53666147603161263,0.41240037279129099,0.54496927180624144,0.52007111446652265,0.61869541252799487,0.53647012519471005,0.56421478667891389,0.55036396422632061,0.44710683815404773,0.50982127292811552,0.50830596601845346,0.53665683612385706,0.52336747750592949,0.44975997851829802,0.46808012870772636,0.46140932517193528,0.46916856119341149,0.52091336602789085,0.52069150581179491,0.49537579151549388,0.47207792065026821,0.40620772311361608,0.48850668255512497,0.54661095916507352,0.47253013372289165,0.51559924904985888,0.52144648332055854,0.49064458091743007,0.46194216150878264,0.51665058422481769,0.47181336894384823,0.48556480454826828,0.46086466106199347,0.54464840343800203,0.49928787197057262,0.0036431642465547384,0.52530074225702983,0.45367401395367746,0.54519609869753427,0.14052971169501782,0.50745193947585776,0.43575915393268605,0.47048846354631335,0.53222345576730856,0.34347791024974866,0.46529134192540289,0.50158294478188692,0.48837498419634839,0.54628925116845206,0.71287777816081099,0.43568085622973129,0.53161893030950746,0.41479314568294068,0.42986923995735327,0.60024059041342603,0.54508290712100327,0.5322329039335757,0.46461249682891126,0.56615082260708038,0.50403998868054145,0.54180975241366769,0.38398772435483036,0.46938747378015844,0.68093477153292981,0.45347262519993359,0.55161781494684858,1.1031702459861613e-07,3.5560278998795661e-07,0.46077940668517747,0.49300443525962179,0.59605787207000627,0.54832422513993428,0.52884250356489571,0.54125826071748495,0.35210875312765955,0.53796719026685025,0.54140230405440182,0.48111387369190195,0.38400250419162785,0.26421251617283625,0.53493192610065476,0.45770674072541961,0.40106791673984776,0.39869448121551265,0.25837303117450106,0.48657116946563472,0.51708154482911628,0.53164007745627961,0.47659178736702046,0.46007902008170137,0.45452276246568912,0.38860090339486075,0.46502284563749069,0.5259399971944656,0.57280072576194641,0.3881783429132647,0.35460205189226901,0.00075873653880822382,0.36369502599714976,0.48410070912233172,0.6286321359541831,0.48846196396494351,0.70857837389144085,0.42266777250589577,0.44792001955908201,0.48080064028926262,0.47811354053279054,0.65551190546043059,0.52606185634399683,0.57488678530152948,0.58304810183723499,0.45462561713405231,0.45002761700248228,0.45468380505517525,0.46469386634649817,0.48987613412008402,0.466248383226612,0.48012299625574734,0.48682877979237216,0.45062105990200763,0.092469852508448372,0.44992721522538581,0.52507549489183958,0.59714083943674279,0.49804955417226321,0.60289929723926583,0.54061683557188667,0.44731138826994404,0.52805718529149237,0.53402332411339282,0.52256195642259218,0.5274850976656551,0.71338442109766742,0.62544173751431054,0.450454250753409,0.53700065696152444,0.53823405995189044,0.49999265520894987,0.52488191672667783,0.6003382584803123,0.70590142235124786,0.4401691591544763,0.58584314118878744,0.53299355549183436,0.51587851897536141,0.54776042341608489,0.560532234484031,0.57601273639800143,0.44909392796520942,0.42896223004529571,0.53592869006634158,0.49640749943692769,0.39349809200998032,0.23488336434020907,0.57373912928226234,0.59884500504197202,0.50923598943020676,0.5427482803347401,0.54977836213637699,0.50569271141280558,0.45599605355295386,0.51306500084918916,0.52284784363669889,0.4722513607635212,0.58649299674766486,0.52036102752073765,0.52475849788659712,0.45600177586100415,0.42262047358801824,0.47428268648757105,0.51539597772199697,0.69596389577635165,0.49247247870100808,0.41192570905523368,0.52975117833366692,0.47022804795977102,0.48591133340839215,0.0017495788815897579,0.41920867675904799,0.52501480940472467,0.5559470260231788,0.46779751405929293,0.48503475909509208,0.53236915656898054,0.62771381513150626,0.48685788347672793,0.45562974798695993,0.47442889436984331,0.51420181541377119,0.0056367931417625394,0.63302861022458412,0.54498303597583075,0.544436350818856,0.49374591042363236,0.55415990061762721,0.47021199278467485,0.52833005289061929,0.46268392119263158,0.39284380007587227,0.48868905391516138,0.53752597998623441,4.0305784267323225e-05,0.45929742138556973,0.248640092505196,0.61371646446343342,0.52827205705987179,0.51870156601354878,0.46063504195081845,0.49586533352443873,0.00013354033176951499,0.55197164833926238,0.5120238688410057,0.15100208976452958,0.54673410147090151,0.47775733677085258,0.41730328981374365,0.51693384995468361,0.47763813133402622,0.46977841873176363,0.53967383777751154,0.50080031331672903,0.39084557025311112,0.52431928252903426,0.58197416246663136,0.49496441142213271,0.58277585596133286,0.00042764384409514058,0.47613940779655928,0.48738040764051538,0.46089957226634981,0.46237872888258391,0.087000291542345815,0.17658638265772769,0.63676513850809058,0.46361015675608491,0.46692062737933249,0.067064881129425213,0.5184927038608218,0.48803927974427785,0.49699057461426766,0.42924509306456993,0.69629167527333458,0.39222602456356959,0.52698299931568204,0.46244167756227417,0.53070467312180825,0.53805241369794432,0.50761714261207525,0.097517012242122128,0.51861710825877794,0.5353846870525133,2.3839288322988063e-06,0.51707564357747937,0.013228108115421272,0.57827813746950452,0.43510599568886404,0.51635930580273515,0.52519143214066666,0.54564347212120379,0.47739282153269091,0.023532634894378002,0.64192789337475131,0.51298814399625869,0.38396728365802246,0.42115979646679452,0.54652511786196156,0.49292029870333304,0.66443952649634874,0.53675697994947824,0.49922386621346959,0.46256240889223205,0.53534269391151412,0.50436823342765291,0.55899941588713242,0.61250264057186743,0.5749532845356734,0.538650027116375,0.48018954938319774,0.62888905560287645,0.54069512407040887,0.45850445033768444,0.44350478520399417,0.5148575800704791,0.45688616542184013,0.595654971733661,0.37169621689560089,0.57041355178357711,0.55761548183121545,0.00011764496322565966,0.48971927621510014,0.4473470273160961,0.5391038476871336,0.27091779727649368,0.48230980300969384,0.58417298975262377,0.53777307058995028,0.64973446753284192,0.51307484101554801,0.013609301315681275,0.2523309277219799,0.4491016942435736,0.48721922275341933,0.48750632015061457,0.61857882173320999,0.48889952586146701,0.49032537174725677,0.49874469533568594,0.45845991929189056,0.51040148170574207,0.53490317846453328,0.51710103601902724,0.025107535086205508,0.55823384118101538,0.47205729227432214,0.45197149190945934,0.52947754797072566,0.55159817422644986,0.58070349336984639,0.50332244933842241,0.58374143617058527,0.52626590211723356,0.58825178845826764,0.47677207577167607,0.64074520255159206,0.056095958228363045,0.45385458800759704,0.65830558443831877,0.53321745340862259,0.45855685602728524,0.53238380366380988,0.47381534296883621,0.0030249262164667502,0.48152908970450625,0.45651855541065273,0.46662186148079088,0.079876319452954134,0.44958463329811837,0.50512069505249513,0.46716887523474027,0.14153725656966284,0.44214468816862551,0.47747939050653032,0.56658097404707974,0.5284904354796317,0.43003079441860859,0.48411432425693252,0.3523717827557773,0.53553277770516694,0.58335719469191905,0.46996868267733166,0.5047312132815055,0.59183234150471808,0.17447808175378507,0.65115417231198391,0.44631297894596389,0.63824580199254966,0.51949479010206834,0.48986957856999824,0.51042829712704052,0.56722527769842712,0.57486375222768848,0.54554707072861608,0.50622325520918343,0.52198863182532773,0.46350420883697185,0.52921870003018234,0.53803786671709086,0.49761654601731581,0.4842487764334566,0.47727846974569821,0.47395776907098452,0.51306560413108249,0.50918828289330198,0.46819785332868347,0.42231065679515378,0.62124312509017998,0.27601709608257585,0.57021160691812411,0.55975666959591686,0.40875835910572528,0.48774141339279609,0.42217037172546984,0.46523001904165701,0.44228317963221153,0.48024985946781712,0.5223517113019589,0.62838812670301392,0.52465158023057046,0.51443206279361786,0.54433818778538356,0.25789872159630606,0.51388489988353958,0.57740531630609393,0.48437388475431248,0.43666139031664941,1.7624395525231802e-05,0.48992100754161755,0.45394696416782432,0.5743843102923244,0.39393838495012734,0.49109925992069609,0.70217817961121431,0.47988963757244596,0.52370734843378541,0.53776149789675043,0.47750862506697034,0.13207780792187998,0.4089377137658089,0.42704931832839688,0.56235021612607894,0.4633003523393695,0.53118261974578707,0.48439213033800832,0.52482727738518775,0.46555436146525309,0.45015549276901423,0.048442620225924556,0.037015967408337819,0.68246600609404651,0.51060733032294314,0.12005653821027079,0.50383962009653183,0.52976775639521267,0.46071977480147608,0.34996037902797356,0.33019160132821779,0.49661705859758004,0.54454846757662279,0.45159559717117392,0.53303567016665976,0.5245943695957257,0.57474526076770549,0.34354630812269804,0.57534761180466432,0.4991551654991695,0.56766777185584494,0.53577495712727174,0.47706445851328044,0.43390678915326136,0.02097322733572686,0.46229060388553694,0.016553554177827889,0.48221755111914144,0.50068649921657771,0.46521192637123965,0.52341755844107107,0.57105582133857347,0.47984203299176531,0.54951184016235666,0.42846095585278943,0.52202963932465607,0.52288153624377143,0.46771166831838562,0.48567205221411702,0.58998190055716482,0.703097054289752,0.47680076868169619,0.4917562153128236,0.56713448480190187,0.50827710461054054,0.45854596385078716,0.52821161582956633,0.52823414085008258,0.48321096926182755,0.64482779546205549,0.51748333582843609,0.47455983306352711,0.67059598974445567,0.036103114147550255,0.41251370131065046,0.53668170162018336,0.40370832880091467,0.5091139419414199,0.0058863059303759808,0.45868604250483325,0.52280890109117983,0.52692286844794844,0.533043789257724,0.53719941841418328,0.48460013407111008,0.0062025523404989511,0.36293057994978972,0.50137038198606154,0.40845895167698709,0.14741445035064277,0.71386015343527942,0.49158285262602325,0.47194971709201627,0.56488226071096781,0.54693530945067126,0.57524880777995513,0.0095600912793082898,0.45714680456753326,0.54109111716429048,0.50474570216677916,0.22724297377657823,0.51814276775868828,0.52941460087916192,0.52667062640116546,0.55079748713479537,0.55044473256261428,0.50573547727368739,0.4754044646431016,0.44947058913498611,0.46402707768753637,0.50350582206375893,0.43570866397114222,0.62763665667000035,0.4862069834496579,0.49850647795395669,0.42606099876860637,0.4441326156136175,0.48552643583305916,0.46578428111222819,0.41261186597434951,0.55721317322295183,0.5232641185156528,0.47280136732272177,0.45503796008372283,0.47199594692957902,0.52654819287669108,0.45187863662660865,0.69252755659944953,0.5214560811436193,0.53006452543590965,0.016581375733591239,0.071110328147947627,0.47688729051461826,0.59079379643167762,0.022503986393689408,0.62892526969182194,0.50942380394781317,0.54307180512508735,0.54414741348710527,0.45432836870836363,0.52652313326391231,0.47720508418765306,0.46665865014990132,0.5541278174078853,0.44284477812743989,0.54487226287249813,0.47179388321853166,0.45379124510806146,0.44206646473098843,0.49891922736733968,0.53313909150502825,0.45989125954574978,0.40448406209451504,0.47339780273864374,0.39127506867591011,0.53038908139648977,0.44135433927357726,0.46611240057896947,0.59580964056405494,0.5103521366827245,0.45284357835196781,0.51879295317524154,0.48353011947999847,0.53604769639733818,0.47575500811924515,0.44235683395770004,0.55556234468459764,0.71282969273423891,0.49508682998181908,0.61301653881918583,0.53752449643013278,5.8472517106751223e-05,0.47263487884933242,0.41179313991777966,0.53413371731844994,0.39467711326185967,0.51469153133232126,0.55495727556556906,0.645028563722158,0.53820466544017431,0.52321667096895275,0.4952120029832755,0.51484248537399102,0.51892189495021146,0.43691522589557091,0.45223177569216377,0.41012166850135978,0.46732522541387295,0.52445000490393112,0.44002055356623671,0.51177194022034822,0.088520388944553316,0.4868443780072938,0.45070740455141567,0.34535498272743315,0.57752416952064378,0.50341938840341893,0.51396782350070402,0.43794606460596675,0.55952295938862584,0.48691329195474919,0.62116120085861637,0.64209686874375349,0.098750011753095029,0.70024739869629804,0.56717183334163768,0.56157449928935765,0.53565272870650116,0.57494536615439829,0.49793579120934023,0.53890703537044471,0.57113117463775565,0.11130519061832755,0.53411807030846092,0.47810360351449172,0.47727719031878263,0.51180097650295475,0.48159813531692075,0.54132530879145468,0.47976244774560811,0.016188244187249581,0.47291055690152056,0.47550257973998483,0.53442193411721006,0.40174295103734647,0.47040750289408334,0.54206308882467635,0.48315951975291144,0.53884912062533274,0.44963686932435665,0.4706766214968931,0.56340207474728921,0.54529609169633175,0.45824411988958108,0.52839542475106815,0.44327493381939848,0.37599235927123564,0.48549431555600114,0.46118415705348448,0.51592426484065268,0.19274751093449199,0.53532392225146952,0.51500427755993416,0.48613463669511409,0.33837317182821236,0.63079155769823714,0.54091812739442491,0.40261757559134925,0.53421419660614322,0.45192195713978511,0.5386519467256996,0.50676102751014873,0.48795513088103337,0.4570173336339387,0.47041817604109853,0.50891792660747592,0.44387127401848336,0.56496062036644201,0.57853205732967528,0.54605552173562133,0.48081542797105542,0.63642955278205116,0.22320510359006654,0.71318346528218601,0.52006444724987322,0.54259377683181875,0.61105677514443901,0.46626415596917559,0.48836504041209822,0.46258245669479414,0.53785007350530556,0.52192683053069278,0.51617274443616601,0.53560581237563964,0.49469483105691942,0.56119254349356629,0.19753356743153444,0.48560216248572619,0.46096294992625797,0.43743231268617583,0.49576634119830182,0.50880135878053456,0.49906940688908236,0.49753043716050771,0.7088714758137652,0.53667257536221424,0.25206740386743848,0.52051045273303342,0.45916271058792868,0.61296937351795888,0.48810383620064057,0.52547797523057882,0.34456877831623844,0.68385901212138633,0.34765412178158794,0.43557467555927015,0.51159638940984586,0.4600316528625536,0.54858559974800358,0.5305016608736749,0.56498036634983351,0.54858063753391939,0.44697734574574766,0.5575271549376235,0.70182366490492776,0.49344528385229974,0.49598259185114923,0.48094546732500715,0.42519650406491905,0.46323669941961315,0.49037292828561513,0.50363052549730558,0.58493812498931863,0.00046438259600759289,0.49896168616203745,0.48720191723751721,0.54659394037225906,0.53920592935172529,0.46137879430142348,0.57898420540177531,0.46953041903163034,0.479974969296044,0.47663653456458543,0.45470320196386499,0.7112714853498463,0.42011733947088609,0.46445772816797137,0.49948512922987393,0.59920538055223505,0.71231887365597657,0.45166411530218126,9.1371979621469857e-05,0.48881939898154197,0.55151807713456957,0.53027799541342224,0.41036857452002495,0.50973449868876275,0.41649957330847948,0.52674257240963285,0.65473431514533187,0.45426593133465415,0.059870168541201987,0.49683397476406116,0.58083613648786536,0.66776851685954941,0.50842463039287056,0.45915312636657502,0.00080267806154801888,0.48880823075421376,0.46274488528916879,0.40273953809075635,0.53010173354382806,0.59092571750693235,0.54555938903165835,0.46011868465984862,0.50585833101916244,0.56954720660036451,0.55620876786059659,0.58456058305912573,0.064897382959250696,0.20008936815632844,0.34530433695892948,0.44396646791721062,0.50836617664422001,0.57301542221796553,0.52758362308137075,0.43154311250980698,0.43997827650941335,0.46814999694606657,0.48676954022162267,0.52177912713508245,0.57002765704920921,0.54320095458840856,0.46943923902085943,0.51024811888143473,0.44072777058136187,0.066592441064427424,0.43275883580509888,0.46181210569476261,0.4574686599924912,0.51791974611426506,0.69092973460275886,0.48388948506417684,0.45606424631621245,0.52475628362336901,0.55160481163207664,0.47347597615154163,0.47491790887064023,0.0035431505673882233,0.49507065798963162,0.35215208565447181,0.52795388639045138,0.46796362788516727,0.3951341302256603,0.45780790323441956,0.51189576844989881,0.5378093018549891,0.53306645223328541,0.46379616730106799,0.52286399163469754,0.52542422781178877,0.4135591747430048,0.46519626094552186,0.45272365415741278,0.5755178508268467,0.4723005049618999,0.44467811876036489,0.46826455808360218,0.40437751493383339,0.52044826343114958,0.60124684712983145,0.53412429547830398,0.53793659595617682,0.48251196658119588,0.49012241926846056,0.44703283310264746,0.47454110194384908,0.50445553880807814,0.5254178776283015,0.4522147105276858,0.62780505944156362]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/huge.json new file mode 100644 index 000000000000..c7905e73cc26 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/huge.json @@ -0,0 +1 @@ +{"C":[0.5000000000291034,0.4999977375614192,0.500003092474997,0.4999950578425465,0.49999856902780665,0.4999959775613739,0.499996467110196,0.49999712897219106,0.4999969279688549,0.500003009640178,0.4999979467405627,0.49999814370270407,0.5000016180205809,0.4999987170219075,0.5000022672878716,0.5000022608443169,0.49999636967797434,0.5000032893351759,0.49999653796793325,0.5000033481065626,0.5000025185572998,0.49999676660971215,0.5000025264475633,0.49999745834993853,0.49999699517001467,0.5000023296506765,0.49999929232837387,0.4999995528038399,0.5000027252961282,0.49999810449933296,0.500001059269147,0.4999977488296204,0.5000024680904175,0.5000004627249983,0.49999869863698626,0.5000011978192438,0.5000018767578976,0.5000011643688262,0.5000015090928468,0.49999803733583736,0.5000015050266904,0.5000001021959254,0.5000018929630159,0.4999984369799147,0.49999877164871176,0.5000006962195375,0.5000004651402378,0.4999984044520849,0.5000013090643404,0.4999987209991643,0.5000014924424813,0.5000007576115955,0.49999845396455317,0.49999850419212455,0.49999924327314577,0.5000001819229325,0.500001023759107,0.499998705671647,0.49999962000099096,0.4999987439288013,0.49999880892950627,0.5000001755337624,0.49999903006750746,0.49999885369747255,0.5000002241320721,0.4999989160653036,0.5000008277153558,0.500000659550076,0.4999995703564999,0.4999991282533209,0.4999989956068069,0.4999997261784635,0.5000006823122726,0.5000009109040459,0.5000006796934996,0.49999950910092666,0.4999994581281138,0.4999995914243122,0.5000000477021445,0.5000007425148331,0.5000001068436317,0.49999958504819897,0.500000689630419,0.4999992501004111,0.49999967568552794,0.5000006310215276,0.5000006523762717,0.49999969108264536,0.49999965325018164,0.49999983965552336,0.5000000928255302,0.49999949398025334,0.5000004086871183,0.4999997709846971,0.4999996019232249,0.5000005655217525,0.49999946186443145,0.4999994624693002,0.49999964838432315,0.5000002012121051,0.49999960013856876,0.5000004780438154,0.5000004653232405,0.49999970171925195,0.49999959475099903,0.4999998194661803,0.5000001614470642,0.5000002677092518,0.5000001088920214,0.4999996531537858,0.5000002974957263,0.4999996947168733,0.49999986415382947,0.4999999804818046,0.5000002020369066,0.499999960664355,0.49999981503502244,0.5000002108763818,0.4999997215776508,0.49999990769431846,0.5000002957332021,0.5000000217638699,0.4999997688509579,0.49999971071847626,0.500000251880606,0.49999972993823494,0.4999998193521834,0.5000002489493562,0.500000181458191,0.5000000727546376,0.49999975257523527,0.49999979142787937,0.5000001817262208,0.500000230560078,0.500000206602825,0.500000184761704,0.49999987273359436,0.5000001894855008,0.5000000394701927,0.5000001375932209,0.5000000526841968,0.5000001025649471,0.5000000265361977,0.4999998945897301,0.5000001014322966,0.4999999353691031,0.5000001642475536,0.5000001278518856,0.49999989417874824,0.4999998675441824,0.49999985320837537,0.5000000211501135,0.4999999472898895,0.49999988914148413,0.5000000726324424,0.5000000982805397,0.5000001251630574,0.49999987067083007,0.5000001148057723,0.49999988441571386,0.49999996259221785,0.50000010551732,0.49999994345381743,0.5000000357406515,0.5000000289078221,0.5000001068928365,0.49999993864364684,0.49999989852121146,0.4999999785477065,0.49999997364723525,0.5000000450631576,0.5000000605313241,0.49999991163445284,0.4999999677841243,0.49999998870679396,0.4999999897664719,0.4999999738030019,0.5000000052841134,0.49999998872332474,0.5000000335778844,0.4999999711753037,0.4999999306864359,0.4999999273468764,0.49999998700445525,0.5000000648443882,0.5000000675523694,0.49999993668850873,0.4999999368226943,0.49999996000838004,0.4999999508134811,0.5000000576397781,0.4999999440746527,0.4999999556560407,0.4999999772287334,0.5000000450100979,0.5000000413923756,0.500000006069302,0.5000000389187248,0.4999999506582925,0.5000000477183689,0.49999996478618886,0.49999997599274043,0.5000000439212472,0.500000041503977,0.4999999839619982,0.49999998566141696,0.5000000372304747,0.49999997129179496,0.49999996065916996,0.5000000385523146,0.5000000360565825,0.5000000193472123,0.5000000357901108,0.49999997559077897,0.5000000157611172,0.5000000324243399,0.5000000008882035,0.499999971206732,0.500000006488907,0.49999997290935566,0.5000000235366927,0.4999999728977625,0.49999997472637897,0.499999983550912,0.4999999920689155,0.49999999761835,0.49999997914519134,0.4999999794311685,0.5000000246148449,0.49999998227878056,0.5000000052013254,0.5000000010743122,0.5000000224165096,0.49999999530639483,0.4999999793395469,0.5000000202723466,0.5000000129868597,0.49999998158745496,0.49999999996022887,0.500000001985974,0.5000000057143053,0.5000000181444293,0.49999999264789147,0.5000000037240004,0.49999998400771295,0.5000000067274573,0.5000000111729132,0.5000000039760418,0.5000000098977169,0.5000000089138267,0.49999998554816416,0.5000000142214326,0.5000000130994217,0.4999999985487314,0.4999999866417679,0.5000000073119354,0.500000011501829,0.5000000049948267,0.5000000117502317,0.49999999920124216,0.49999999277617085,0.5000000033097629,0.49999999710917126,0.5000000074080287,0.5000000066700606,0.4999999943506521,0.5000000091615492,0.5000000064885602,0.5000000086506664,0.49999999518848265,0.5000000074686745,0.4999999984627732,0.4999999962183002,0.49999999152200436,0.49999999368372644,0.5000000062318356,0.4999999921657716,0.4999999951737816,0.49999999434895076,0.4999999950642688,0.5000000042018867,0.500000006867504,0.4999999942563035,0.500000006730767,0.5000000006202365,0.5000000046206592,0.49999999421743835,0.5000000016417463,0.5000000059304339,0.50000000565881,0.5000000040212944,0.5000000022771016,0.5000000047513578,0.4999999950646428,0.4999999958274253,0.4999999994664076,0.5000000000397451,0.5000000008354529,0.4999999957685465,0.500000001596139,0.499999995588792,0.4999999998921754,0.49999999575452647,0.5000000031330848,0.4999999967733376,0.5000000011694828,0.5000000002005845,0.4999999966098067,0.49999999634793774,0.4999999997470885,0.5000000009779924,0.4999999993662541,0.5000000005318441,0.4999999970840725,0.49999999720574845,0.500000000510872,0.5000000010081957,0.500000002912342,0.5000000029551558,0.4999999971379915,0.5000000007693537,0.500000002592874,0.5000000001734846,0.5000000026245845,0.5000000022510623,0.4999999989037955,0.49999999872522494,0.5000000023861125,0.49999999788967825,0.50000000141429,0.4999999979045009,0.49999999845638116,0.5000000006237303,0.49999999993947075,0.49999999821851165,0.4999999990034042,0.4999999981183224,0.4999999987176325,0.49999999934446443,0.5000000012686922,0.5000000007650954,0.4999999996027726,0.4999999993080903,0.5000000015736292,0.49999999845672405,0.49999999844018844,0.5000000012571133,0.5000000012969116,0.4999999988107988,0.5000000004306924,0.49999999982309773,0.5000000005077433,0.49999999994843486,0.49999999874549683,0.5000000007512466,0.4999999990855601,0.5000000011229709,0.5000000010277224,0.49999999962116354,0.500000001116048,0.4999999998394987,0.4999999989327436,0.5000000007741959,0.500000001022633,0.5000000007449946,0.5000000005737074,0.500000000827578,0.5000000008546654,0.5000000004978594,0.5000000006430272,0.4999999993051715,0.5000000000330918,0.5000000001362539,0.49999999920208266,0.4999999992185323,0.5000000006814409,0.4999999993901976,0.4999999997104094,0.4999999993052189,0.5000000005911085,0.5000000002106352,0.4999999994631754,0.49999999961902314,0.49999999972468406,0.49999999949936874,0.4999999996507777,0.5000000005341828,0.5000000001695384,0.5000000000430879,0.499999999777331,0.5000000005089769,0.4999999995749808,0.49999999981799226,0.4999999995011132,0.49999999956497304,0.49999999953621704,0.49999999967040837,0.5000000002307223,0.49999999961227604,0.5000000000914168,0.49999999997822575,0.5000000004014656,0.49999999987448995,0.5000000003991814,0.5000000001793031,0.4999999997088415,0.49999999987115307,0.4999999996951317,0.49999999980638854,0.5000000003127459,0.49999999991002453,0.5000000002930104,0.4999999998321187,0.49999999968470993,0.5000000001381407,0.4999999997228748,0.5000000002488161,0.5000000000895312,0.4999999997332532,0.49999999976094844,0.4999999999559912,0.49999999973879944,0.49999999981933424,0.4999999998450273,0.5000000000950209,0.5000000000036693,0.4999999998499927,0.5000000000423706,0.49999999979979964,0.4999999998661774,0.4999999999966654,0.5000000001258524,0.500000000191757,0.4999999999099027,0.5000000001262241,0.49999999992050487,0.5000000000080143,0.4999999999468239,0.5000000000745644,0.49999999997759176,0.5000000000142251,0.49999999984865917,0.49999999989851784,0.4999999999195845,0.5000000001406665,0.5000000000233209,0.4999999999563175,0.5000000000322886,0.49999999996889893,0.5000000000014532,0.5000000000822801,0.4999999999887213,0.5000000000566448,0.49999999990342125,0.4999999999708194,0.4999999998831197,0.4999999999157556,0.5000000000887017,0.5000000001030398,0.4999999999380794,0.500000000103779,0.5000000000883206,0.5000000000054504,0.5000000000819528,0.49999999994099886,0.49999999999036876,0.5000000000189545,0.49999999992056604,0.5000000000601148,0.49999999992202915,0.5000000000206355,0.49999999992043825,0.5000000000354833,0.500000000014688,0.5000000000118151,0.5000000000175737,0.5000000000216297,0.5000000000681322,0.49999999994196553,0.4999999999334095,0.4999999999513685,0.49999999996021344,0.500000000062056,0.5000000000351732,0.4999999999578359,0.5000000000181309,0.5000000000362038,0.4999999999706208,0.49999999994657357,0.5000000000127629,0.5000000000349768,0.49999999995595196,0.4999999999856201,0.499999999953354,0.5000000000463987,0.49999999997576045,0.4999999999976186,0.49999999995925365,0.4999999999603568,0.4999999999819416,0.5000000000385688,0.4999999999611657,0.4999999999638576,0.49999999996453764,0.4999999999762168,0.5000000000009838,0.500000000019102,0.4999999999671283,0.500000000032815,0.4999999999674744,0.5000000000320872,0.500000000000181,0.500000000029491,0.5000000000086572,0.4999999999762639,0.5000000000270861,0.49999999997676897,0.49999999997286804,0.49999999997469774,0.4999999999756939,0.5000000000249304,0.500000000023008,0.500000000012267,0.49999999999063555,0.49999999998290895,0.49999999998559463,0.5000000000202506,0.5000000000006204,0.4999999999876862,0.5000000000103398,0.5000000000198704,0.5000000000080477,0.4999999999956649,0.49999999998506944,0.4999999999955902,0.4999999999886093,0.5000000000167254,0.5000000000164876,0.49999999998508615,0.5000000000142579,0.49999999998435923,0.5000000000142276,0.49999999999508965,0.5000000000095246,0.5000000000106254,0.49999999999709005,0.49999999998759764,0.4999999999990168,0.4999999999941048,0.49999999999715544,0.5000000000008167,0.5000000000050816,0.49999999999027206,0.49999999999519174,0.49999999999706973,0.5000000000057392,0.5000000000108477,0.5000000000088575,0.5000000000079837,0.5000000000010167,0.5000000000062934,0.5000000000076709,0.5000000000094241,0.5000000000068489,0.49999999999135947,0.4999999999913707,0.500000000000084,0.4999999999972216,0.5000000000081642,0.4999999999984061,0.5000000000045325,0.500000000007431,0.49999999999262684,0.49999999999811323,0.5000000000070799,0.49999999999523415,0.49999999999344763,0.4999999999955367,0.5000000000064208,0.49999999999441125,0.49999999999474726,0.4999999999989358,0.5000000000002813,0.49999999999747274,0.4999999999964156,0.4999999999953606,0.49999999999935407,0.5000000000050681,0.5000000000031503,0.5000000000027965,0.49999999999586964,0.500000000004663,0.4999999999995536,0.4999999999955748,0.5000000000030725,0.5000000000031088,0.5000000000007967,0.5000000000030699,0.5000000000016943,0.5000000000038052,0.5000000000000685,0.49999999999636996,0.49999999999776007,0.5000000000031146,0.5000000000003798,0.4999999999984229,0.49999999999672196,0.4999999999967709,0.5000000000000253,0.500000000002392,0.5000000000022214,0.4999999999990514,0.49999999999734823,0.49999999999830436,0.4999999999988644,0.49999999999909733,0.4999999999978273,0.49999999999836653,0.5000000000024134,0.500000000000503,0.499999999998665,0.49999999999796674,0.49999999999826333,0.5000000000006848,0.5000000000020407,0.49999999999859157,0.5000000000019234,0.4999999999980507,0.5000000000002545,0.5000000000012411,0.4999999999985233,0.4999999999992039,0.5000000000014695,0.5000000000012932,0.4999999999993189,0.5000000000015354,0.4999999999987695,0.5000000000006664,0.5000000000014369,0.4999999999989658,0.4999999999985861,0.5000000000014424,0.5000000000013514,0.5000000000000825,0.5000000000004232,0.5000000000003275,0.5000000000008179,0.499999999999368,0.5000000000003456,0.4999999999996767,0.50000000000082,0.4999999999999756,0.5000000000003558,0.49999999999890143,0.5000000000003918,0.5000000000006577,0.5000000000009205,0.49999999999994776,0.5000000000000243,0.4999999999992157,0.5000000000005039,0.49999999999981926,0.499999999999738,0.4999999999991809,0.5000000000005198,0.5000000000007346,0.5000000000003652,0.49999999999999617,0.4999999999997584,0.5000000000003264,0.49999999999975964,0.49999999999936157,0.49999999999984945,0.5000000000001478,0.5000000000002941,0.49999999999968336,0.5000000000003058,0.499999999999374,0.5000000000004927,0.5000000000005356,0.49999999999981115,0.49999999999965594,0.4999999999996311,0.49999999999955147,0.499999999999532,0.5000000000004061,0.5000000000003646,0.5000000000000067,0.5000000000000072,0.5000000000003564,0.49999999999954126,0.5000000000000008,0.5000000000002089,0.5000000000004108,0.49999999999999933,0.5000000000003827,0.5000000000004009,0.49999999999964534,0.49999999999978256,0.4999999999996269,0.5000000000003647,0.5000000000002183,0.5000000000003194,0.4999999999997141,0.49999999999973227,0.5000000000002501,0.500000000000008,0.49999999999991634,0.49999999999970113,0.4999999999997065,0.5000000000000171,0.5000000000000517,0.4999999999998716,0.4999999999997626,0.500000000000068,0.49999999999976863,0.5000000000002373,0.4999999999997629,0.5000000000001114,0.5000000000002316,0.49999999999977357,0.5000000000001527,0.49999999999979633,0.4999999999998612,0.499999999999826,0.5000000000001549,0.5000000000001854,0.4999999999998068,0.49999999999981504,0.49999999999985956,0.500000000000155,0.4999999999999494,0.4999999999998301,0.500000000000068,0.49999999999984374,0.49999999999986966,0.5000000000000373,0.5000000000001312,0.500000000000146,0.5000000000001356,0.4999999999999553,0.5000000000001299,0.5000000000001357,0.49999999999988703,0.49999999999998823,0.5000000000001041,0.4999999999999857,0.49999999999989897,0.5000000000000364,0.49999999999988676,0.4999999999999163,0.49999999999992906,0.5000000000000875,0.4999999999999318,0.5000000000000041,0.500000000000032,0.49999999999991984,0.5000000000000451,0.5000000000000209,0.5000000000000758,0.4999999999999144,0.4999999999999496,0.4999999999999374,0.49999999999992906,0.5000000000000807,0.4999999999999666,0.4999999999999916,0.5000000000000134,0.5000000000000696,0.5000000000000484,0.49999999999994027,0.4999999999999371,0.5000000000000637,0.5000000000000068,0.49999999999999223,0.5000000000000479,0.4999999999999394,0.5000000000000341,0.4999999999999959,0.5000000000000356,0.500000000000001,0.4999999999999527,0.500000000000043,0.49999999999995476,0.5000000000000421,0.4999999999999547,0.49999999999996514,0.49999999999995576,0.4999999999999921,0.4999999999999844,0.4999999999999645,0.5000000000000341,0.5000000000000054,0.5000000000000382,0.5000000000000303,0.5000000000000271,0.5000000000000141,0.5000000000000094,0.49999999999997824,0.5000000000000326,0.5000000000000229,0.5,0.49999999999999395,0.5000000000000288,0.499999999999986,0.5000000000000285,0.49999999999997596,0.49999999999999234,0.5000000000000144,0.5000000000000023,0.4999999999999987,0.5000000000000084,0.49999999999998346,0.49999999999999234,0.5000000000000031,0.5000000000000107,0.4999999999999925,0.4999999999999773,0.5000000000000104,0.49999999999999906,0.5000000000000199,0.49999999999998335,0.500000000000013,0.49999999999999417,0.49999999999998246,0.499999999999987,0.4999999999999813,0.4999999999999821,0.500000000000013,0.49999999999999106,0.49999999999998823,0.5000000000000063,0.5000000000000061,0.5000000000000046,0.49999999999999584,0.4999999999999867,0.4999999999999959,0.499999999999986,0.49999999999999023,0.5000000000000094,0.4999999999999971,0.5,0.4999999999999903,0.4999999999999935,0.5000000000000122,0.49999999999999223,0.4999999999999951,0.4999999999999923,0.5000000000000082,0.5000000000000109,0.5000000000000056,0.500000000000002,0.500000000000004,0.4999999999999969,0.5000000000000011,0.5000000000000063,0.5000000000000057,0.5000000000000085,0.5000000000000028,0.5000000000000085,0.4999999999999921,0.5000000000000081,0.5000000000000074,0.5000000000000073,0.49999999999999273,0.4999999999999926,0.4999999999999958,0.4999999999999931,0.500000000000006,0.4999999999999964,0.5000000000000066,0.4999999999999944,0.5000000000000063,0.5000000000000054,0.49999999999999545,0.5000000000000006,0.49999999999999895,0.5000000000000026,0.500000000000005,0.5000000000000053,0.5000000000000052,0.500000000000005,0.5000000000000047,0.5000000000000048,0.5000000000000039,0.4999999999999967,0.5000000000000042,0.4999999999999992,0.5000000000000026,0.5000000000000042,0.5000000000000036,0.5000000000000027,0.4999999999999973,0.4999999999999993,0.5000000000000008,0.5000000000000036,0.5000000000000012,0.4999999999999965,0.5000000000000033,0.4999999999999998,0.4999999999999981,0.4999999999999978,0.5000000000000031,0.49999999999999756,0.49999999999999784,0.5000000000000014,0.49999999999999795,0.49999999999999983,0.49999999999999956,0.4999999999999975,0.5000000000000026,0.4999999999999984,0.5000000000000012,0.49999999999999883,0.4999999999999982,0.5000000000000009,0.5000000000000009,0.49999999999999833,0.5000000000000014,0.4999999999999993,0.5000000000000019,0.500000000000002,0.49999999999999883,0.49999999999999833,0.5000000000000013,0.5000000000000017,0.5000000000000016,0.5000000000000003,0.500000000000001,0.5000000000000013,0.5000000000000008,0.4999999999999985,0.4999999999999988,0.4999999999999987,0.4999999999999987,0.5000000000000006,0.5000000000000012,0.4999999999999995,0.4999999999999999,0.5000000000000002,0.5000000000000011,0.4999999999999995,0.5000000000000008,0.5000000000000008,0.5000000000000004,0.5000000000000011,0.5000000000000007,0.499999999999999,0.4999999999999992,0.500000000000001,0.499999999999999,0.500000000000001,0.5000000000000009,0.4999999999999992,0.5000000000000002,0.5,0.5000000000000009,0.4999999999999993,0.5000000000000001,0.5000000000000001,0.5000000000000003,0.5000000000000008,0.5000000000000004,0.5000000000000004,0.5000000000000006,0.5,0.49999999999999956,0.5000000000000003,0.49999999999999994,0.5000000000000006,0.5000000000000001,0.4999999999999999,0.49999999999999944,0.4999999999999995,0.49999999999999944,0.5000000000000006,0.5000000000000003,0.5,0.5000000000000003,0.5000000000000001,0.5,0.49999999999999967,0.5000000000000004,0.5000000000000001,0.5000000000000004,0.5000000000000002,0.5,0.49999999999999967,0.49999999999999983,0.4999999999999999,0.49999999999999983,0.5,0.4999999999999998,0.5000000000000003,0.5000000000000001,0.5000000000000003,0.49999999999999967,0.5,0.5,0.5],"S":[0.49999469483523035,0.4999953383790064,0.5000040062611079,0.4999999016045209,0.5000046111013849,0.4999975388974271,0.49999704496837866,0.5000034632810127,0.49999685861876364,0.5000030592688386,0.5000036542432312,0.4999963510476143,0.49999634332813536,0.4999963111978091,0.500003067674773,0.49999703857317795,0.5000002515912226,0.49999865341583255,0.5000002566753228,0.4999994642504265,0.49999784952498,0.5000000896990281,0.5000018969295601,0.49999825017706256,0.4999997663462193,0.4999982004918906,0.500002786727628,0.5000027723946421,0.5000003097371565,0.5000018931402594,0.5000023925961901,0.5000012098218567,0.5000003732837132,0.5000023937225664,0.5000019942135671,0.5000019936565436,0.4999987200648196,0.5000018886970389,0.5000015553069289,0.4999992074539501,0.5000014173435963,0.4999979833681624,0.5000005534196513,0.500001125843065,0.5000014251034433,0.5000017006229215,0.5000017335099929,0.49999927380064135,0.5000011036485877,0.5000010774544345,0.49999933619350373,0.50000140401059,0.49999980546156053,0.5000002808406776,0.49999872052237815,0.5000014404497843,0.4999990187338968,0.49999950692781325,0.49999870165208354,0.5000004100687795,0.5000004968542883,0.5000012482153402,0.49999924174306704,0.500000363246682,0.5000011528957372,0.5000003754980448,0.5000007551372408,0.5000008732457971,0.4999990213018641,0.5000005743844017,0.5000001757568431,0.5000009575297731,0.49999930671835396,0.49999973001384246,0.4999993682490874,0.49999923810984875,0.5000007000168922,0.49999923799916435,0.5000008431456778,0.4999996408114894,0.5000007985076782,0.4999993314404885,0.49999966078260816,0.49999996649475725,0.500000657538508,0.5000003385367101,0.49999974781401946,0.50000060929985,0.4999994299466302,0.500000631660226,0.4999993702855503,0.5000003611821011,0.49999955089722875,0.4999994529175126,0.5000004208230958,0.49999998275260576,0.5000001256521108,0.4999999511811852,0.500000392785039,0.49999952604253584,0.4999996949919468,0.5000001129245095,0.49999988318094507,0.4999996386044608,0.5000002127081251,0.4999995910530819,0.5000004056688336,0.4999996680515468,0.4999995979675761,0.4999997873969861,0.500000263402668,0.5000002396243779,0.49999964612023334,0.4999996302830254,0.4999997000939792,0.4999996490063212,0.5000002911874999,0.500000262785038,0.5000001754438711,0.49999969211291734,0.5000001053629064,0.49999969414161255,0.5000001904350059,0.49999995660513774,0.5000001348504355,0.49999992972934604,0.5000002040918001,0.49999990570226716,0.5000001862227078,0.5000002433125527,0.5000000175131524,0.5000001232538746,0.5000001515516231,0.49999998396329476,0.49999990905039027,0.500000120309046,0.500000173715181,0.5000000912933719,0.49999979839366177,0.5000001460432011,0.4999998112361416,0.49999983838300976,0.49999981493509615,0.49999985089247434,0.49999985329925445,0.4999998382336616,0.500000044401729,0.5000001061613253,0.5000001230734845,0.49999991289046725,0.4999999507248451,0.499999850250387,0.49999986201027685,0.4999999076657694,0.4999998792453908,0.5000000963540723,0.499999950954376,0.4999999773404724,0.4999999428542931,0.5000000482628347,0.5000001164798649,0.49999994392766595,0.4999998979051471,0.5000001082427934,0.49999989248182825,0.5000000199797872,0.49999991330293986,0.49999997846393845,0.499999900973696,0.5000000953907963,0.49999991448745,0.4999999275499895,0.5000000263501378,0.5000000841045428,0.5000000872384709,0.49999991469351085,0.5000000797236964,0.4999999182069943,0.5000000792568005,0.4999999293859217,0.49999992927832676,0.49999997243922784,0.5000000054216507,0.5000000699619772,0.500000025014085,0.49999999330369166,0.5000000196905007,0.49999998577505933,0.5000000490037201,0.5000000373796535,0.5000000178477345,0.4999999814080616,0.49999996329781676,0.5000000514042513,0.50000003145678,0.4999999658925819,0.499999947967285,0.5000000332153898,0.4999999920735682,0.5000000102683506,0.4999999678626465,0.4999999601018663,0.49999998819592084,0.5000000158312413,0.4999999596866165,0.5000000398766826,0.4999999819173335,0.49999997153808384,0.5000000033646211,0.5000000009913158,0.49999998910360444,0.5000000312920068,0.499999996794721,0.5000000252183414,0.5000000304411963,0.5000000083459829,0.5000000326895669,0.5000000138247137,0.5000000305141432,0.4999999860529225,0.500000018213045,0.49999998949317065,0.4999999870663611,0.4999999776759628,0.5000000258967341,0.5000000263459201,0.5000000152527893,0.5000000146207785,0.500000001281032,0.49999998370500603,0.4999999770688301,0.49999997705899046,0.50000000081683,0.49999997859958784,0.49999999442687876,0.5000000050861888,0.4999999842496896,0.4999999923496475,0.5000000194743394,0.4999999810830401,0.5000000176773761,0.5000000001910937,0.4999999838739822,0.4999999830950767,0.49999999451370236,0.5000000150810122,0.4999999883677124,0.4999999847565948,0.500000011780613,0.4999999879006436,0.5000000025690111,0.49999999818634255,0.500000004948052,0.5000000135995182,0.4999999999665545,0.5000000108058211,0.5000000054866038,0.4999999885994753,0.4999999968820336,0.4999999881530911,0.49999999092727937,0.500000010832951,0.5000000106791758,0.49999999213304713,0.49999999182053834,0.4999999913772968,0.4999999958237588,0.49999999261031,0.4999999958258378,0.5000000080536058,0.5000000053084108,0.500000008816619,0.49999999211913904,0.5000000010079108,0.5000000054444403,0.5000000052441242,0.5000000013813646,0.4999999939108175,0.5000000050653197,0.5000000055298797,0.5000000058954525,0.5000000016843975,0.5000000038351518,0.4999999995530414,0.5000000065592616,0.500000004478853,0.49999999753695973,0.49999999408468454,0.5000000008841007,0.49999999849176185,0.49999999593213795,0.5000000051016836,0.5000000026833445,0.500000002011836,0.49999999688753594,0.500000005056268,0.4999999950342021,0.5000000047778316,0.5000000021301712,0.49999999565693887,0.5000000009826705,0.49999999558721325,0.49999999924936533,0.5000000028134927,0.5000000025503828,0.5000000038431133,0.49999999608155393,0.49999999821325025,0.4999999991800177,0.4999999963529295,0.5000000034341602,0.5000000034294961,0.5000000033645776,0.4999999983979577,0.5000000016588683,0.4999999968674836,0.49999999706852843,0.5000000008282052,0.500000000112914,0.4999999996100514,0.4999999972857353,0.5000000009326319,0.4999999973142555,0.5000000001465758,0.5000000012347467,0.5000000022553955,0.5000000020914059,0.5000000001713968,0.4999999989969844,0.49999999820891244,0.5000000007598508,0.5000000015352666,0.49999999796711986,0.4999999979239804,0.5000000009701956,0.5000000017124178,0.5000000004518657,0.4999999986114545,0.5000000017257936,0.5000000012812669,0.49999999841374415,0.5000000016736281,0.5000000015309782,0.5000000004651942,0.49999999956747854,0.5000000001323972,0.5000000008702957,0.5000000007403839,0.500000000844571,0.5000000013579691,0.4999999986198314,0.49999999873934947,0.5000000013264122,0.500000000327335,0.5000000010194048,0.49999999916720395,0.500000000445281,0.49999999942038287,0.5000000010883814,0.5000000001462842,0.4999999989123941,0.4999999998817631,0.4999999992924929,0.499999999940504,0.49999999933216516,0.5000000007910788,0.49999999952449325,0.5000000003723014,0.5000000007623625,0.5000000006143427,0.49999999947874085,0.500000000847747,0.49999999918264104,0.49999999986448496,0.49999999988085764,0.5000000003629916,0.5000000004436526,0.500000000677236,0.4999999998133986,0.49999999962011776,0.4999999993468325,0.500000000401417,0.49999999946756035,0.4999999994228454,0.49999999962656494,0.5000000005001745,0.5000000002639151,0.5000000005567039,0.5000000005667612,0.49999999949145013,0.5000000001869789,0.4999999996840186,0.500000000484199,0.4999999999201774,0.4999999997670574,0.49999999986882127,0.4999999996638757,0.49999999960228503,0.4999999997733958,0.4999999995710017,0.5000000004278632,0.49999999988202365,0.4999999996110512,0.4999999999997306,0.5000000003462107,0.5000000002454416,0.49999999965108943,0.5000000001975551,0.500000000297343,0.4999999998506901,0.4999999996736875,0.5000000001531232,0.5000000002758384,0.4999999999920162,0.4999999997246633,0.5000000001171625,0.49999999984363713,0.4999999997272949,0.5000000000862446,0.5000000001335251,0.4999999997362067,0.4999999999975705,0.5000000001801416,0.4999999998048627,0.5000000002240715,0.49999999976230897,0.49999999982277904,0.49999999977721565,0.5000000000947673,0.49999999983001653,0.5000000002112759,0.5000000001635687,0.5000000000621477,0.5000000001750581,0.499999999854927,0.5000000001701681,0.4999999998167277,0.5000000001711032,0.49999999984167603,0.5000000001694537,0.49999999983365834,0.5000000000607041,0.5000000001227459,0.5000000001331579,0.49999999994258165,0.4999999998534477,0.5000000001382017,0.4999999998621655,0.5000000001347263,0.4999999998649578,0.5000000001030972,0.5000000001283393,0.5000000001123637,0.49999999992398714,0.4999999998835584,0.49999999999073297,0.5000000000775695,0.5000000000681362,0.5000000000362974,0.5000000000868977,0.5000000000095531,0.5000000000506053,0.5000000000992714,0.49999999994791067,0.499999999925741,0.4999999999078657,0.5000000000884717,0.4999999999612709,0.5000000000619391,0.4999999999679396,0.4999999999202857,0.4999999999882509,0.49999999992991906,0.5000000000753038,0.4999999999260009,0.5000000000710504,0.5000000000681365,0.5000000000152712,0.5000000000358163,0.5000000000015636,0.4999999999567853,0.4999999999504546,0.4999999999990395,0.49999999995062966,0.5000000000415649,0.5000000000549124,0.5000000000433528,0.49999999995330735,0.4999999999930082,0.49999999994894373,0.5000000000376666,0.5000000000240897,0.49999999995311983,0.5000000000108629,0.5000000000059532,0.5000000000387298,0.4999999999554377,0.5000000000154771,0.5000000000155173,0.5000000000374545,0.5000000000127206,0.49999999999191636,0.49999999998604466,0.5000000000132047,0.49999999997170885,0.5000000000360858,0.4999999999703641,0.49999999998973327,0.5000000000073854,0.49999999999537625,0.49999999999983447,0.5000000000313399,0.49999999999179645,0.5000000000286171,0.5000000000170101,0.500000000008935,0.5000000000153744,0.49999999999795375,0.4999999999918728,0.5000000000091083,0.4999999999953944,0.5000000000091535,0.49999999997915645,0.49999999997831324,0.500000000015499,0.5000000000173294,0.49999999999137645,0.5000000000214888,0.5000000000170074,0.5000000000177109,0.499999999997471,0.5000000000178324,0.4999999999813895,0.49999999998880107,0.4999999999823122,0.4999999999863157,0.5000000000047622,0.5000000000040812,0.5000000000072662,0.4999999999923017,0.5000000000024154,0.4999999999939572,0.49999999998572314,0.4999999999887425,0.4999999999902767,0.5000000000137632,0.49999999999408684,0.49999999998661615,0.4999999999882931,0.49999999998751776,0.49999999998752254,0.4999999999888944,0.5000000000069036,0.5000000000106124,0.4999999999890042,0.5000000000095182,0.5000000000004196,0.5000000000058282,0.5000000000065962,0.4999999999899362,0.5000000000076156,0.500000000005854,0.5000000000001036,0.49999999999384936,0.5000000000024857,0.49999999999837186,0.5000000000085767,0.49999999999209677,0.49999999999945555,0.5000000000078313,0.49999999999364503,0.5000000000017045,0.500000000001042,0.500000000007024,0.4999999999994191,0.5000000000050424,0.49999999999827077,0.5000000000048876,0.500000000000754,0.5000000000029386,0.49999999999676836,0.4999999999940711,0.5000000000058766,0.4999999999948392,0.49999999999568107,0.5000000000029201,0.5000000000053152,0.49999999999871025,0.4999999999959794,0.4999999999958686,0.5000000000025853,0.49999999999904804,0.500000000004627,0.5000000000010154,0.5000000000031974,0.49999999999698425,0.4999999999958453,0.5000000000027656,0.4999999999963372,0.5000000000010282,0.4999999999961507,0.4999999999990189,0.5000000000029106,0.5000000000017796,0.500000000003483,0.500000000003037,0.4999999999993474,0.50000000000048,0.49999999999681155,0.5000000000019943,0.5000000000020779,0.49999999999718453,0.5000000000011784,0.5000000000022711,0.4999999999974754,0.5000000000025486,0.4999999999984989,0.4999999999980038,0.49999999999927736,0.5000000000024086,0.5000000000019984,0.499999999998827,0.5000000000014968,0.5000000000021321,0.5000000000007869,0.49999999999839384,0.4999999999991911,0.5000000000005945,0.5000000000019741,0.49999999999850364,0.5000000000011937,0.4999999999983249,0.49999999999894085,0.5000000000012075,0.5000000000015882,0.5000000000007008,0.500000000001097,0.49999999999853423,0.5000000000006392,0.4999999999988643,0.5000000000005017,0.500000000000258,0.49999999999952877,0.5000000000013954,0.5000000000012981,0.4999999999987073,0.49999999999898637,0.5000000000011041,0.5000000000011935,0.49999999999883027,0.4999999999991441,0.49999999999884254,0.49999999999892664,0.5000000000001139,0.4999999999989949,0.5000000000008231,0.4999999999995399,0.5000000000010038,0.49999999999901856,0.5000000000005516,0.4999999999992106,0.4999999999991033,0.49999999999914585,0.49999999999969913,0.4999999999993246,0.5000000000003915,0.4999999999992735,0.5000000000007941,0.5000000000007371,0.5000000000006837,0.5000000000006999,0.5000000000003387,0.49999999999931033,0.5000000000006735,0.4999999999993942,0.4999999999994235,0.500000000000565,0.4999999999999573,0.5000000000003644,0.5000000000002672,0.5000000000005533,0.5000000000004557,0.5000000000004182,0.49999999999969086,0.4999999999997469,0.49999999999967576,0.49999999999964684,0.5000000000004957,0.5000000000004842,0.4999999999996892,0.49999999999994593,0.5000000000004512,0.5000000000003879,0.4999999999998715,0.5000000000004203,0.5000000000001489,0.4999999999999896,0.5000000000001662,0.4999999999996852,0.5000000000000211,0.5000000000000137,0.5000000000002818,0.4999999999998615,0.5000000000001842,0.49999999999980344,0.5000000000002065,0.49999999999968325,0.500000000000298,0.499999999999955,0.49999999999996814,0.5000000000002879,0.49999999999972317,0.5000000000002432,0.4999999999998742,0.49999999999974654,0.4999999999998897,0.49999999999992006,0.4999999999999402,0.4999999999997887,0.4999999999999722,0.4999999999999747,0.5000000000001619,0.5000000000000758,0.5000000000001606,0.5000000000001127,0.49999999999986955,0.500000000000069,0.5000000000000024,0.5000000000000373,0.5000000000001193,0.49999999999990846,0.5000000000001684,0.49999999999997513,0.5000000000001533,0.5000000000000492,0.4999999999999072,0.49999999999984823,0.499999999999922,0.50000000000003,0.4999999999999469,0.500000000000135,0.5000000000000493,0.5000000000000024,0.5000000000000693,0.5000000000001289,0.4999999999999283,0.5000000000001227,0.5000000000000658,0.500000000000112,0.49999999999997957,0.5000000000000749,0.4999999999999163,0.499999999999938,0.5000000000000794,0.4999999999998978,0.49999999999990535,0.5000000000000556,0.499999999999916,0.4999999999999093,0.4999999999999498,0.4999999999999764,0.49999999999992945,0.499999999999943,0.5000000000000425,0.4999999999999962,0.4999999999999285,0.5000000000000766,0.500000000000074,0.49999999999997624,0.499999999999947,0.4999999999999632,0.4999999999999728,0.4999999999999796,0.5000000000000651,0.49999999999993666,0.50000000000004,0.5000000000000056,0.49999999999995126,0.49999999999994205,0.4999999999999558,0.4999999999999446,0.5000000000000263,0.4999999999999692,0.49999999999997513,0.4999999999999723,0.5000000000000194,0.5000000000000332,0.4999999999999842,0.5000000000000452,0.499999999999958,0.4999999999999744,0.49999999999997413,0.4999999999999586,0.4999999999999858,0.500000000000026,0.499999999999972,0.4999999999999647,0.4999999999999641,0.49999999999997097,0.49999999999998623,0.500000000000026,0.4999999999999662,0.4999999999999675,0.49999999999998535,0.4999999999999718,0.4999999999999885,0.500000000000018,0.4999999999999717,0.5000000000000248,0.5000000000000279,0.5000000000000273,0.5000000000000253,0.49999999999997985,0.4999999999999757,0.4999999999999753,0.49999999999997813,0.49999999999997746,0.4999999999999952,0.4999999999999799,0.5000000000000221,0.4999999999999916,0.500000000000013,0.500000000000016,0.49999999999998074,0.4999999999999911,0.5000000000000141,0.5000000000000013,0.4999999999999959,0.5000000000000123,0.499999999999985,0.4999999999999876,0.49999999999998457,0.5000000000000151,0.5000000000000152,0.500000000000015,0.5000000000000072,0.5000000000000142,0.4999999999999964,0.4999999999999898,0.4999999999999899,0.49999999999998684,0.49999999999998684,0.5000000000000084,0.4999999999999893,0.5000000000000014,0.5000000000000091,0.5000000000000107,0.5000000000000084,0.49999999999999245,0.49999999999999895,0.5000000000000091,0.5000000000000102,0.4999999999999907,0.5000000000000094,0.5000000000000097,0.5000000000000071,0.49999999999999273,0.5000000000000029,0.4999999999999916,0.5000000000000008,0.4999999999999971,0.49999999999999845,0.4999999999999971,0.49999999999999717,0.49999999999999767,0.500000000000001,0.499999999999994,0.500000000000002,0.5000000000000036,0.4999999999999942,0.4999999999999989,0.5000000000000033,0.5000000000000006,0.49999999999999706,0.500000000000004,0.4999999999999941,0.5000000000000057,0.49999999999999495,0.5000000000000023,0.5000000000000001,0.4999999999999993,0.5000000000000011,0.4999999999999983,0.4999999999999988,0.5000000000000028,0.5000000000000033,0.5000000000000018,0.5000000000000044,0.5000000000000036,0.4999999999999994,0.4999999999999978,0.500000000000003,0.4999999999999971,0.5000000000000038,0.5000000000000037,0.5000000000000009,0.4999999999999966,0.4999999999999999,0.499999999999999,0.49999999999999667,0.5000000000000027,0.5000000000000023,0.4999999999999999,0.5000000000000018,0.5000000000000021,0.5000000000000026,0.500000000000002,0.5000000000000028,0.5000000000000027,0.5000000000000009,0.5000000000000001,0.49999999999999806,0.5000000000000021,0.5000000000000021,0.5000000000000016,0.4999999999999979,0.49999999999999795,0.49999999999999856,0.4999999999999984,0.49999999999999806,0.4999999999999993,0.5000000000000003,0.49999999999999845,0.500000000000001,0.5000000000000013,0.5000000000000007,0.4999999999999991,0.4999999999999983,0.4999999999999986,0.49999999999999906,0.49999999999999856,0.5000000000000004,0.5000000000000009,0.4999999999999992,0.4999999999999993,0.49999999999999867,0.4999999999999994,0.5000000000000012,0.5000000000000013,0.5000000000000013,0.4999999999999994,0.5000000000000011,0.4999999999999991,0.4999999999999991,0.49999999999999895,0.5000000000000002,0.5000000000000009,0.5000000000000004,0.5000000000000008,0.5000000000000001,0.49999999999999994,0.5,0.4999999999999996,0.49999999999999944,0.4999999999999991,0.4999999999999991,0.49999999999999994,0.49999999999999956,0.49999999999999917,0.5000000000000008,0.4999999999999993,0.49999999999999983,0.5000000000000006,0.5000000000000007,0.4999999999999995,0.4999999999999993,0.5000000000000006,0.5000000000000006,0.5000000000000007,0.5000000000000003,0.4999999999999994,0.5000000000000006,0.4999999999999998,0.5000000000000003,0.5,0.5,0.5000000000000004,0.49999999999999944,0.5000000000000004,0.5000000000000006,0.4999999999999995,0.4999999999999996,0.5,0.5000000000000004,0.5,0.4999999999999996,0.49999999999999956,0.4999999999999998,0.5000000000000003,0.5000000000000004,0.5000000000000003,0.4999999999999996,0.4999999999999997,0.5000000000000002,0.49999999999999967,0.5,0.5,0.49999999999999967,0.49999999999999967,0.49999999999999967],"x":[60000.00000000003,61430.39830338353,62894.89726187253,64394.30983412023,65929.46835969151,67501.22502110281,69110.45231687785,70758.04354587999,72444.91330319269,74171.99798782021,75940.25632249274,77750.66988586276,79604.24365739057,81502.00657521821,83445.0121073441,85434.33883641344,87471.09105845171,89556.39939587026,91691.42142508691,93877.34231910801,96115.37550543141,98406.76333963202,100752.77779500674,103154.72116865928,105613.92680442009,108131.7598329986,110709.61792978205,113348.93209069864,116051.16742657975,118817.82397645732,121650.43754025163,124550.5805313089,127519.8628492658,130559.93277372057,133672.47787921072,136859.22597200226,140121.94604921443,143462.4492808076,146882.59001498306,150384.2668075498,153969.42347583466,157640.05017771415,161398.18451637265,165245.91267139593,169185.37055683296,173218.745006863,177348.27498973062,181576.25285061897,185905.02558415662,190336.99613725735,194874.62474302182,199520.43028643704,204276.99170263813,209146.94940850046,214133.00676836344,219237.93159469467,224464.557684534,229815.78639256206,235294.58824167363,240904.00457194378,246647.14922891042,252527.2102921011,258547.45184476758,264711.2157858156,271021.92368492583,277483.07868190395,284098.2674313077,290871.1620934399,297805.5223728006,304905.1976051394,312174.12889425945,319616.35129976895,327235.9960769825,335037.2929702253,343024.5725608054,351202.2686709692,359574.920825159,368147.1767699525,376923.79505407193,385909.6476699088,395109.7227580148,404529.1273760721,414173.09033387114,424046.9650958823,434156.2327530168,444506.50506523915,455103.5275767099,465953.1828052028,477061.4935075478,488434.62602292874,500078.8936958779,512000.7603808859,524206.8440305506,536703.9203692736,549498.9266545316,562598.9655278266,576011.3089574318,589743.40227514,603802.8683092395,618197.5116160333,632935.3228122245,648024.483010594,663473.3683614162,679290.5547021545,695484.8223179944,712065.1608158732,729040.7741146985,746421.0855545495,764215.7431276644,782434.6248341455,801087.8441653333,820185.7557179205,839738.960941891,859758.3140254978,880254.92792053,901240.180511238,922725.72093031,944723.4760254291,967245.6569799846,990304.7660916384,1.013913603712475e6,1.0380852753546046e6,1.0628331989651816e6,1.0881711123748391e6,1.1141130809237063e6,1.1406735052692168e6,1.167867129380077e6,1.195709048720787e6,1.224214718631298e6,1.25339996290642e6,1.2832809825797915e6,1.3138743649172322e6,1.345197092624513e6,1.3772665532746215e6,1.4101005489598024e6,1.4437173061736731e6,1.4781354859289464e6,1.5133741941163414e6,1.5494529921104813e6,1.5863919076286033e6,1.624211445848161e6,1.6629326007894487e6,1.702576866969621e6,1.74316625133451e6,1.7847232854749179e6,1.8272710381341237e6,1.8708331280136046e6,1.9154337368840096e6,1.96109762300872e6,2.007850134887405e6,2.0557172253272594e6,2.104725465849665e6,2.1549020614403263e6,2.2062748656510236e6,2.2588723960614386e6,2.31272385010954e6,2.367859121299399e6,2.424308815795362e6,2.4821042694118847e6,2.541277565008346e6,2.601861550298593e6,2.663889856085024e6,2.727396914927433e6,2.792417980256859e6,2.858989145945148e6,2.927147366341011e6,2.9969304767838055e6,3.068377214606303e6,3.1415272406382e6,3.216421161222232e6,3.2931005507552163e6,3.3716079747664086e6,3.4519870135460845e6,3.5342822863373877e6,3.618539476104977e6,3.70480535489409e6,3.7931278097942076e6,3.8835558695216477e6,3.9761397316359608e6,4.070930790405099e6,4.167981665334884e6,4.267346230378693e6,4.369079643843421e6,4.473238379008447e6,4.579880255474507e6,4.689064471260012e6,4.800851635662449e6,4.915303802903249e6,5.032484506574703e6,5.152458794908173e6,5.275293266883007e6,5.401056109196349e6,5.529817134114241e6,5.661647818225209e6,5.796621342117612e6,5.934812631002984e6,6.076298396307745e6,6.221157178256586e6,6.369469389470924e6,6.52131735960681e6,6.676785381056925e6,6.835959755742251e6,6.998928843019111e6,7.165783108728399e6,7.336615175414052e6,7.511519873738884e6,7.690594295126009e6,7.873937845655343e6,8.061652301244885e6,8.25384186414769e6,8.450613220795566e6,8.652075601021852e6,8.858340838695977e6,9.069523433803702e6,9.285740616007196e6,9.50711240972048e6,9.733761700736154e6,9.965814304440692e6,1.0203399035655808e7,1.0446647780144945e7,1.0695695567824349e7,1.0950680647719722e7,1.1211744564709602e7,1.1479032238098454e7,1.1752692042062797e7,1.2032875888015386e7,1.2319739308932742e7,1.2613441545693174e7,1.291414563547295e7,1.322201850225008e7,1.3537231049465476e7,1.3859958254893268e7,1.4190379267772691e7,1.4528677508255865e7,1.4875040769226119e7,1.522966132054384e7,1.559273601577736e7,1.5964466401478605e7,1.6345058829063602e7,1.6734724569360204e7,1.713367992988692e7,1.7542146374927357e7,1.796035064846741e7,1.8388524900063086e7,1.882690681370934e7,1.9275739739780825e7,1.9735272830118272e7,2.0205761176335134e7,2.068746595142183e7,2.118065455472546e7,2.1685600760386024e7,2.220258486931116e7,2.273189386477434e7,2.3273821571722124e7,2.382866881987953e7,2.439674361074358e7,2.497836128855841e7,2.5573844715365976e7,2.618352445023024e7,2.6807738932733733e7,2.7446834670849234e7,2.8101166433289737e7,2.8771097446444377e7,2.9456999596008968e7,3.015925363342396e7,3.087824938723333e7,3.161438597948258e7,3.2368072047275297e7,3.3139725969612252e7,3.392977609963771e7,3.473866100242284e7,3.5566829698417515e7,3.641474191270661e7,3.7282868330208e7,3.8171690856954746e7,3.9081702887605876e7,4.001340957933536e7,4.096732813224987e7,4.194398807649204e7,4.294393156618791e7,4.396771368040278e7,4.50159027312711e7,4.6089080579472646e7,4.7187842957229026e7,4.8312799799001485e7,4.946457558007146e7,5.064380966319354e7,5.185115665351202e7,5.3087286761939615e7,5.435288617719814e7,5.5648657446729265e7,5.697531986668545e7,5.833360988121943e7,5.972428149129162e7,6.1148106673224114e7,6.260587580723233e7,6.409839811617404e7,6.56265021147571e7,6.719103606945613e7,6.879286846939497e7,7.04328885084534e7,7.21120065788684e7,7.383115477660161e7,7.559128741875654e7,7.739338157332927e7,7.923843760158946e7,8.112747971339068e7,8.30615565357209e7,8.504174169480568e7,8.706913441208966e7,8.914486011442505e7,9.127007105880892e7,9.344594697201245e7,9.567369570545983e7,9.795455390571848e7,1.002897877009756e8,1.0268069340387838e8,1.0512859823113085e8,1.0763486104024577e8,1.1020087308386098e8,1.1282805878203657e8,1.1551787651296788e8,1.1827181942254478e8,1.210914162532129e8,1.2397823219259457e8,1.2693386974234079e8,1.2995996960769656e8,1.330582116082741e8,1.3623031561053607e8,1.3947804248251456e8,1.4280319507128522e8,1.4620761920374703e8,1.4969320471126005e8,1.5326188647871047e8,1.569156455185855e8,1.6065651007065466e8,1.644865567278643e8,1.6840791158907983e8,1.7242275143930277e8,1.7653330495802766e8,1.8074185395640507e8,1.850507346438989e8,1.8946233892514062e8,1.9397911572770125e8,1.986035723615135e8,2.0333827591071036e8,2.081858546586371e8,2.1314899954683974e8,2.1823046566883457e8,2.2343307379948944e8,2.2875971196086526e8,2.342133370253882e8,2.397969763572366e8,2.4551372949286798e8,2.5136676986160055e8,2.573593465472176e8,2.6349478609156802e8,2.697764943411643e8,2.762079583378046e8,2.827927482542615e8,2.895345193761291e8,2.964370141309053e8,3.0350406416545385e8,3.107395924729916e8,3.1814761557078236e8,3.257322457297482e8,3.3349769325723505e8,3.414482688341927e8,3.495883859080871e8,3.5792256314284545e8,3.6645542692721546e8,3.751917139429215e8,3.841362737940465e8,3.932940716990976e8,4.0267019124725217e8,4.1226983722030514e8,4.2209833848190707e8,4.3216115093566567e8,4.4246386055377626e8,4.530121864778535e8,4.638119841936863e8,4.748692487816794e8,4.861901182447865e8,4.977808769157726e8,5.096479589457238e8,5.217979518757042e8,5.3423760029357076e8,5.46973809577964e8,5.600136497315562e8,5.733643593056831e8,5.870333494185424e8,6.010282078691727e8,6.153567033495342e8,6.300267897569815e8,6.45046610609557e8,6.604245035665435e8,6.761690050567847e8,6.92288855017347e8,7.087930017451518e8,7.256906068642578e8,7.429910504115907e8,7.607039360438884e8,7.78839096368794e8,7.974065984030383e8,8.164167491607468e8,8.358801013749702e8,8.5580745935562e8,8.762098849870404e8,8.970987038685956e8,9.184855116016152e8,9.403821802262365e8,9.628008648116978e8,9.857540102037448e8,1.0092543579328974e9,1.0333149532873912e9,1.0579491525547758e9,1.0831706304361153e9,1.1089933876369593e9,1.1354317586392832e9,1.162500419658706e9,1.190214396791413e9,1.218589074355302e9,1.2476402034299603e9,1.2773839106002812e9,1.3078367069084816e9,1.3390154970195575e9,1.3709375886052406e9,1.4036207019516673e9,1.4370829797960942e9,1.4713429973981276e9,1.5064197728510187e9,1.542332777638843e9,1.579101947445299e9,1.616747693220221e9,1.655290912509911e9,1.6947530010575826e9,1.7351558646803637e9,1.7765219314294496e9,1.8188741640401204e9,1.8622360726786382e9,1.9066317279929562e9,1.9520857744745939e9,1.9986234441390526e9,2.0462705705323691e9,2.095053603071587e9,2.144999621727114e9,2.196136352055059e9,2.2484921805880322e9,2.3020961705927687e9,2.3569780782034607e9,2.4131683689396996e9,2.470698234618201e9,2.529599610667709e9,2.589905193856697e9,2.651648460443642e9,2.71486368476011e9,2.7795859582367487e9,2.8458512088829226e9,2.913696221230723e9,2.983158656754445e9,3.054277074776868e9,3.127090953873946e9,3.2016407137897325e9,3.277967737873872e9,3.3561143960538826e9,3.436124068355156e9,3.5180411689816628e9,3.601911170970741e9,3.687780631435651e9,3.7756972174099345e9,3.865709732307817e9,3.957868143015587e9,4.0522236076286716e9,4.1488285038500485e9,4.247736458065652e9,4.349002375112941e9,4.452682468759165e9,4.55883429290614e9,4.667516773539132e9,4.778790241437205e9,4.892716465663495e9,5.009358687853854e9,5.128781657322947e9,5.251051667007266e9,5.376236590265059e9,5.50440591855345e9,5.635630800003999e9,5.76998407891769e9,5.907540336201585e9,6.048375930769457e9,6.192569041929427e9,6.34019971278211e9,6.491349894653405e9,6.64610349258642e9,6.804546411918199e9,6.966766605966567e9,7.132854124853956e9,7.302901165495174e9,7.477002122776869e9,7.655253641957116e9,7.837754672314245e9,8.024606522074485e9,8.21591291464941e9,8.411780046213761e9,8.612316644656084e9,8.81763402993471e9,9.02784617587263e9,9.243069773425552e9,9.463424295458311e9,9.68903206306534e9,9.920018313472624e9,1.0156511269558031e10,1.0398642211029217e10,1.0646545547298355e10,1.09003588920942e10,1.1160223139852913e10,1.1426282543930073e10,1.169868479667704e10,1.1977581111426794e10,1.2263126306433846e10,1.2555478890815521e10,1.2854801152542019e10,1.3161259248524157e10,1.3475023296848812e10,1.3796267471213297e10,1.4125170097610771e10,1.44619137533212e10,1.4806685368261684e10,1.5159676328753265e10,1.552108258376146e10,1.5891104753669584e10,1.6269948241645292e10,1.6657823347661737e10,1.7054945385237694e10,1.7461534800960064e10,1.787781729685615e10,1.8304023955683205e10,1.8740391369204872e10,1.9187161769525764e10,1.9644583163557083e10,2.011290947068755e10,2.059240066373717e10,2.1083322913270554e10,2.1585948735351032e10,2.2100557142817184e10,2.2627433800165783e10,2.316687118212711e10,2.3719168736020847e10,2.4284633047982037e10,2.4863578013150772e10,2.5456325009918343e10,2.6063203078327778e10,2.6684549102727436e10,2.732070799877902e10,2.7972032904923843e10,2.8638885378413803e10,2.9321635596015095e10,3.0020662559497913e10,3.073635430602382e10,3.1469108123549328e10,3.221933077136461e10,3.2987438705889805e10,3.3773858311854336e10,3.457902613898766e10,3.540338914435202e10,3.6247404940453804e10,3.711154204926846e10,3.799628016232211e10,3.8902110406973274e10,3.982953561904281e10,4.077907062194334e10,4.1751242512463234e10,4.274659095336291e10,4.376566847294822e10,4.480904077178404e10,4.587728703672074e10,4.69710002624068e10,4.809078758046634e10,4.923727059652426e10,5.0411085735266174e10,5.161288459372359e10,5.284333430298343e10,5.410311789851867e10,5.539293469934864e10,5.671350069623833e10,5.80655489491523e10,5.9449829994183945e10,6.0867112260186165e10,6.231818249533322e10,6.380384620385435e10,6.53249280931766e10,6.6882272531728745e10,6.8476744017659035e10,7.010922765872713e10,7.178062966363693e10,7.349187784508136e10,7.524392213478255e10,7.703773511080777e10,7.887431253745789e10,8.075467391802654e10,8.267986306073709e10,8.465094865817139e10,8.666902488051262e10,8.873521198292908e10,9.085065692744168e10,9.301653401961316e10,9.523404556041763e10,9.750442251365044e10,9.9828925189249e10,1.0220884394290399e11,1.0464549989234973e11,1.0714024565072864e11,1.0969446607744353e11,1.1230957904690576e11,1.1498703623561258e11,1.1772832392798787e11,1.2053496384143414e11,1.2340851397105379e11,1.2635056945450887e11,1.2936276345749667e11,1.3244676808034007e11,1.3560429528618585e11,1.3883709785133377e11,1.4214697033822104e11,1.4553575009160263e11,1.4900531825848053e11,1.5255760083234863e11,1.5619456972232944e11,1.5991824384780502e11,1.6373069025913785e11,1.676340252851125e11,1.7163041570773203e11,1.757220799650211e11,1.7991128938250418e11,1.842003694340428e11,1.8859170103272726e11,1.9308772185255096e11,1.976909276815855e11,2.0240387380741968e11,2.07229176435626e11,2.12169514142044e11,2.1722762935968536e11,2.2240632990108817e11,2.2770849051695926e11,2.3313705449198386e11,2.3869503527866986e11,2.4438551817014777e11,2.5021166201284903e11,2.5617670096001477e11,2.6228394626700897e11,2.685367881294266e11,2.74938697565033e11,2.8149322834055786e11,2.882040189444292e11,2.9507479460653613e11,3.021093693661432e11,3.09311648189103e11,3.166856291355451e11,3.242354055792354e11,3.319651684798587e11,3.3987920870945886e11,3.479819194343478e11,3.5627779855379816e11,3.6477145119687415e11,3.734675922787866e11,3.823710491181931e11,3.9148676411688696e11,4.0081979750338513e11,4.103753301419078e11,4.201586664083316e11,4.301752371347041e11,4.404306026239553e11,4.5093045573648e11,4.6168062505030536e11,4.726870780965885e11,4.8395592467226624e11,4.9549342023165955e11,5.073059693589438e11,5.1940012932339966e11,5.3178261371942236e11,5.4446029619330743e11,5.574402142588861e11,5.707295732041135e11,5.843357500908127e11,5.982662978497498e11,6.125289494733466e11,6.271316223083457e11,6.420824224508124e11,6.573896492459125e11,6.73061799894969e11,6.891075741723358e11,7.055358792547496e11,7.223558346657859e11,7.395767773382045e11,7.572082667969778e11,7.752600904658838e11,7.937422691006061e11,8.126650623513639e11,8.320389744581378e11,8.518747600817023e11,8.721834302736371e11,8.929762585886807e11,9.142647873427972e11,9.360608340204374e11,9.58376497834547e11,9.812241664429702e11,1.0046165228249521e12,1.0285665523216161e12,1.053087549844247e12,1.0781931272544386e12,1.1038972209201802e12,1.1302140994520798e12,1.1571583716240242e12,1.1847449944826409e12,1.212989281650142e12,1.2419069118250542e12,1.271513937485634e12,1.301826793800766e12,1.3328623077532961e12,1.364637707480865e12,1.3971706318394336e12,1.4304791401947732e12,1.4645817224474412e12,1.4994973092966963e12,1.5352452827491316e12,1.5718454868778296e12,1.6093182388380137e12,1.647684340145314e12,1.6869650882229111e12,1.727182288223932e12,1.7683582651357576e12,1.8105158761728306e12,1.853678523464939e12,1.8978701670479834e12,1.9431153381644434e12,1.9894391528809246e12,2.0368673260303591e12,2.0854261854865442e12,2.1351426867790688e12,2.1860444280565767e12,2.2381596654067944e12,2.291517328541782e12,2.346147036857116e12,2.402079115873927e12,2.4593446140729204e12,2.5179753201296743e12,2.578003780560925e12,2.6394633177914346e12,2.702388048651632e12,2.7668129033162173e12,2.832773644694269e12,2.900306888281605e12,2.969450122486442e12,3.040241729439551e12,3.1127210063006514e12,3.1869281870726284e12,3.2629044649358574e12,3.3406920151149688e12,3.4203340182907563e12,3.5018746845702227e12,3.585359278028085e12,3.6708341418332793e12,3.7583467239746216e12,3.8479456035996255e12,3.939680517981307e12,4.0336023901278647e12,4.1297633570505737e12,4.228216798705599e12,4.3290173676257007e12,4.432221019258525e12,4.537885043027993e12,4.64606809413627e12,4.756830226123882e12,4.870232924206064e12,4.986339139403845e12,5.105213323488832e12,5.226921464760986e12,5.351531124679534e12,5.479111475366961e12,5.609733338007193e12,5.743469222159183e12,5.880393366007713e12,6.020581777573797e12,6.164112276907541e12,6.311064539286773e12,6.461520139445766e12,6.615562596858125e12,6.773277422099345e12,6.934752164314622e12,7.1000764598183e12,7.26934208185192e12,7.442642991528538e12,7.620075389991396e12,7.801737771816364e12,7.987730979687182e12,8.178158260374321e12,8.373125322048341e12,8.572740392959597e12,8.777114281516873e12,8.986360437798324e12,9.200595016528645e12,9.419936941558e12,9.644507971877734e12,9.87443276921011e12,1.0109838967209318e13,1.0350857242312262e13,1.05976213862784e13,1.0850268380458998e13,1.1108938471836734e13,1.1373775250878518e13,1.164492573124388e13,1.192254043139385e13,1.2206773458145299e13,1.249778259221726e13,1.279572937581665e13,1.310077920231208e13,1.341310140804523e13,1.3732869366331541e13,1.4060260583701338e13,1.439545679843561e13,1.4738644081450822e13,1.509001293958883e13,1.5449758421369213e13,1.58180802252628e13,1.6195182810546133e13,1.6581275510799312e13,1.6976572650109008e13,1.738129366204205e13,1.7795663211455305e13,1.821991131920947e13,1.865427348985613e13,1.9098990842368496e13,1.955431024398951e13,2.002048444727013e13,2.0497772230374977e13,2.098643854073281e13,2.148675464211158e13,2.199899826519981e13,2.2523453761777875e13,2.306041226256427e13,2.3610171838825867e13,2.4173037667840023e13,2.4749322202301754e13,2.533934534376949e13,2.594343462024576e13,2.656192536799143e13,2.719516091767444e13,2.784349278495582e13,2.8507280865620348e13,2.9186893635358016e13,2.9882708354308863e13,3.0595111276483984e13,3.1324497864179184e13,3.2071273007500215e13,3.2835851249121637e13,3.3618657014403246e13,3.4420124846993816e13,3.524069965005028e13,3.608083693320827e13,3.6941003065440234e13,3.782167553394174e13,3.87233432091896e13,3.9646506616319125e13,4.059167821297021e13,4.155938267375891e13,4.255015718152908e13,4.3564551725548414e13,4.46031294068132e13,4.566646675063154e13,4.675515402665858e13,4.786979557656155e13,4.901101014949536e13,5.017943124557785e13,5.137570746755157e13,5.260050288083012e13,5.385449738212775e13,5.5138387076877195e13,5.645288466564499e13,5.779871983975927e13,5.917663968636811e13,6.0587409103156734e13,6.203181122294935e13,6.3510647848434555e13,6.502473989725435e13,6.657492785770412e13,6.81620722552967e13,6.978705413044804e13,7.145077552755345e13,7.315415999572092e13,7.489815310144298e13,7.668372295349067e13,7.851186074032073e13,8.038358128029467e13,8.229992358501539e13,8.426195143609202e13,8.627075397565816e13,8.832744631096477e13,9.043317013338812e13,9.258909435219461e13,9.479641574341452e13,9.70563596141848e13,9.937018048293034e13,1.017391627757586e14,1.0416462153946031e14,1.0664790317150411e14,1.0919038616743623e14,1.1179348188609773e14,1.1445863533308453e14,1.1718732596288511e14,1.199810685001416e14,1.2284141378048728e14,1.2576994961143461e14,1.2876830165378167e14,1.3183813432403408e14,1.3498115171833981e14,1.3819909855845088e14,1.414937611602365e14,1.4486696842528628e14,1.4832059285615028e14,1.5185655159578816e14,1.5547680749179288e14,1.591833701859886e14,1.629782972300037e14,1.668636952274392e14,1.7084172100326634e14,1.7491458280110353e14,1.790845415090324e14,1.833539119146446e14,1.8772506399000184e14,1.9220042420723278e14,1.9678247688549303e14,2.0147376557003656e14,2.062768944441643e14,2.111945297748343e14,2.1622940139273097e14,2.213843042076275e14,2.2666209975986628e14,2.320657178088305e14,2.3759815795928425e14,2.4326249132648434e14,2.4906186224098844e14,2.5499948999410688e14,2.610786706249607e14,2.673027787501534e14,2.7367526943705197e14,2.8019968012173162e14,2.868796325726437e14,2.937188349010969e14,3.007210836196699e14,3.0789026574969025e14,3.152303609789678e14,3.227454438709559e14,3.304396861265853e14,3.383173589000194e14,3.463828351696156e14,3.54640592165412e14,3.6309521385448556e14,3.717513934855543e14,3.8061393619425744e14,3.8968776167053044e14,3.989779068895778e14,4.084895289079503e14,4.1822790772628125e14,4.281984492202696e14,4.3840668814154006e14,4.48858291190034e14,4.595590601596647e14,4.705149351589464e14,4.8173199790841225e14,4.932164751166412e14,5.049747419367684e14,5.170133255053996e14,5.293389085658949e14,5.419583331780203e14,5.548786045160601e14,5.68106894757453e14,5.816505470641452e14,5.955170796588558e14,6.097141899985212e14,6.242497590472334e14,6.39131855651048e14,6.543687410170748e14,6.69968873299375e14,6.859409122941614e14,7.02293724246943e14,7.190363867742714e14,7.3617819390282e14,7.537286612285954e14,7.716975311991469e14,7.900947785216884e14,8.089306157001815e14,8.2821549870439e14,8.479601327741012e14,8.681754783617166e14,8.888727572165125e14,9.10063458613951e14,9.317593457335001e14,9.53972462188482e14,9.767151387116318e14,1.0e15]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/large.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/large.json new file mode 100644 index 000000000000..f8d18d2105e1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/large.json @@ -0,0 +1 @@ +{"C":[0.4999999999999984,0.4999952966053132,0.4999952466855638,0.5000001949271385,0.4999925517597223,0.5000004741296699,0.49999482021167474,0.4999946622097227,0.5000011132736554,0.4999930089349015,0.500001680836087,0.499993878229898,0.49999365756017056,0.5000027235909712,0.49999405543447567,0.5000035236076065,0.4999927884813405,0.4999925992867841,0.5000048156627231,0.49999603228102973,0.5000056810019282,0.4999921379341366,0.49999213166540996,0.5000068488428699,0.49999914401732937,0.5000074398232704,0.49999276111294555,0.49999311486970355,0.5000078461071721,0.5000030811570706,0.5000076784070844,0.49999543783376266,0.4999962450083829,0.5000066005552865,0.5000066295152041,0.5000052814415452,0.5000001833491805,0.5000012737469101,0.5000024600977168,0.5000077273487017,0.5000001638633561,0.5000053873461164,0.5000062097612139,0.4999965658993882,0.5000046085397284,0.49999445120325753,0.5000077761207192,0.5000076142696728,0.49999245705919826,0.49999802673559157,0.49999230415327345,0.5000044912408126,0.5000031648224276,0.49999418654472955,0.49999266800627395,0.4999967348580136,0.49999694906323505,0.4999954986671538,0.5000016286042668,0.4999943428066948,0.5000047530068719,0.4999922872463392,0.49999241453810794,0.5000075543579372,0.5000026604653675,0.5000073980461824,0.4999969393714426,0.4999988110427901,0.5000038641283959,0.5000076827863306,0.5000000004584075,0.5000060048097088,0.5000070702427718,0.49999440143103197,0.5000012183666769,0.4999924679816577,0.5000057331050913,0.5000040279987789,0.4999940642491632,0.4999926299784822,0.4999978466506175,0.49999537518063253,0.49999373981205436,0.5000045948000577,0.49999778936433514,0.5000073222336322,0.4999940069489179,0.4999958561075082,0.5000058256980289,0.5000074360407052,0.5000014606764319,0.500005349740492,0.5000068717182681,0.4999942836355611,0.5000003829868457,0.49999240355784047,0.5000041914099947,0.5000016412564603,0.49999652587335447,0.49999258893360954,0.5000020706147744,0.49999272824928237,0.49999246799673286,0.5000074966803867,0.5000040839948331,0.5000060041330379,0.5000008406843,0.5000037269801562,0.49999779757486645,0.5000039346463351,0.49999319790940017,0.5000062171593568,0.5000039142262078,0.4999948808020084,0.49999247180847317,0.5000008887809017,0.4999930310611993,0.4999924945635179,0.5000074548697806,0.50000447610529,0.5000053475334524,0.5000021662457477,0.5000051343079606,0.4999958251826498,0.5000014683271472,0.4999925164640889,0.5000036223658011,0.500000187533238,0.49999873795988814,0.4999939695623893,0.5000054085120562,0.4999930160952782,0.4999951354352145,0.5000055330165712,0.5000074567721542,0.499998656041652,0.5000072241700714,0.5000071760586625,0.49999265611000726,0.4999937257638263,0.4999974328820044,0.4999946225771387,0.49999275816247757,0.5000070648920156,0.5000038490180423,0.5000052798034059,0.5000028075693563,0.5000060025839103,0.49999431417620005,0.4999986648938294,0.4999932841594424,0.4999995404367897,0.4999956039917115,0.500004090637397,0.499999349076812,0.5000072610414373,0.49999875418113693,0.5000030333940257,0.4999971795295892,0.5000019187384142,0.499992634971871,0.5000022252215919,0.4999977880995241,0.5000021238799387,0.4999975192176322,0.5000073462696583,0.4999974809247679,0.5000020372075826,0.4999979179330053,0.5000023807087833,0.49999266626442884,0.5000021563263126,0.4999974783775642,0.5000026941158401,0.49999838497376714,0.5000072601281061,0.4999988866226246,0.5000036066322503,0.49999611741283373,0.5000001466469746,0.4999931322432574,0.4999993638494886,0.4999948969002138,0.5000054191572524,0.5000019903706402,0.500005747090299,0.500002980407625,0.5000065759496366,0.4999931940647795,0.4999954980130678,0.4999965206256577,0.4999945399749593,0.49999274001970373,0.5000072159163085,0.5000066303909928,0.499999963231487,0.5000071068355089,0.5000061851097296,0.4999943121563582,0.49999285822300027,0.5000041071752181,0.49999340018210536,0.4999972730797175,0.5000017751337668,0.5000048376843514,0.4999930517261686,0.5000030601471246,0.49999756838539855,0.5000034646802682,0.5000002479081507,0.5000062717552847,0.5000025912944106,0.5000066219983471,0.49999299048068474,0.4999943811398817,0.4999987469378789,0.4999931431247295,0.4999937636380152,0.5000054258403067,0.500006884432588,0.49999485302836527,0.5000055108425348,0.5000002777073336,0.5000012487738107,0.4999983333011355,0.5000068312784102,0.5000015045259664,0.500006266911854,0.4999931127309738,0.49999435887567434,0.49999925161475783,0.4999929757694652,0.49999455374480223,0.5000041258083849,0.5000059557268577,0.4999934884370673,0.5000032071338213,0.49999704848885695,0.5000045730880174,0.5000024022480121,0.5000042059405009,0.5000055851879672,0.5000068799717742,0.4999939078776472,0.499993054226295,0.500005156273091,0.4999950703237236,0.5000011532832506,0.4999967809536722,0.4999989004986593,0.4999950029292407,0.4999949686999541,0.4999930390069823,0.5000061973988169,0.5000069149450573,0.4999946875548468,0.5000045117108547,0.4999980731014085,0.5000041124533494,0.500002380830242,0.500003728891029,0.5000061265304162,0.5000062563993091,0.4999953069088193,0.49999412315548214,0.500006705236267,0.49999832387668,0.5000048742503757,0.49999359111577674,0.49999445857091623,0.5000003216387487,0.49999304917816084,0.499997167468529,0.500000094212403,0.500001630341107,0.4999938262850955,0.4999961129875761,0.49999302592096745,0.5000061745182391,0.5000067031362633,0.499994025841024,0.5000028734950859,0.49999583183500423,0.5000061517928391,0.5000054462116141,0.49999938186737736,0.500006783236425,0.500001789506241,0.5000013776520178,0.500000238717024,0.5000047634142791,0.5000057383703265,0.5000060786558819,0.4999961497711234,0.4999953518415013,0.5000069189603046,0.5000016564529015,0.500006779053193,0.49999336338880457,0.49999316903495206,0.500005750786199,0.499997337613495,0.500004689205673,0.4999934178071747,0.4999936867312847,0.5000028164491065,0.49999443815679817,0.5000015203537711,0.4999952638523672,0.4999957328043845,0.4999996803379785,0.49999323252185973,0.4999985877663531,0.4999976588430016,0.49999812235142266,0.49999720537294656,0.4999932252885077,0.49999646209115595,0.49999978317218247,0.500000138690402,0.4999955992808848,0.49999375838932536,0.49999517397643956,0.5000012915191115,0.5000015116424462,0.4999947244506369,0.49999432003789784,0.4999945301998516,0.5000021278792934,0.5000022179950775,0.4999943693451813,0.4999946133700928,0.49999433877336824,0.5000023328964135,0.5000023009720099,0.4999944016922488,0.4999945255715882,0.4999945194917885,0.500001928034981,0.5000017720649034,0.49999482702695225,0.4999940973578839,0.4999951348701771,0.5000008869628596,0.5000005993262192,0.49999578404157036,0.49999353217981635,0.49999636205248155,0.4999991910833609,0.4999987799237259,0.49999747567148217,0.4999932313459558,0.49999839017685477,0.49999696963085755,0.4999964957930683,0.5000000048907101,0.49999378616285406,0.5000012103054267,0.49999469702261246,0.49999431215105233,0.5000031007078124,0.49999580369445507,0.5000043148467953,0.4999933252924444,0.4999932693535336,0.5000058341953135,0.4999994510794377,0.5000064855929734,0.49999408665036466,0.4999945801157219,0.5000066445009946,0.5000038063267459,0.5000060778602519,0.49999767980437326,0.4999986848772359,0.5000041407590315,0.5000065785273029,0.500002205310537,0.5000029920605767,0.5000039851806705,0.49999874779088044,0.5000051765158273,0.49999647032468186,0.5000065498075881,0.5000066748661024,0.49999394486473575,0.4999994547018701,0.4999933360142055,0.5000045966425827,0.5000034746024049,0.4999945423979843,0.4999939414646681,0.4999967111869776,0.49999779020560053,0.4999964126684383,0.5000011689014487,0.49999505043178233,0.5000040616723718,0.49999336883024337,0.49999351607973475,0.5000065436933137,0.5000026421201165,0.500006206177656,0.4999979183345255,0.4999996645029753,0.5000026142284534,0.5000065014356977,0.4999990066276955,0.5000057754758298,0.5000064470163743,0.4999943922198578,0.49999964695442445,0.49999340758517935,0.5000037279874807,0.5000019101466251,0.49999621604027433,0.4999934145269248,0.500000136899432,0.49999456763221534,0.49999366729189315,0.500005525532043,0.5000004890831735,0.5000065389741151,0.49999682641149146,0.4999989555555913,0.5000027935428406,0.5000063916688414,0.49999826220851545,0.5000062322510921,0.5000065432981994,0.49999359847817415,0.4999970184136435,0.4999943663751909,0.5000001987514632,0.4999977464422563,0.5000007154298654,0.4999955136466922,0.5000050871168812,0.4999938646490936,0.499995223338104,0.5000056400441386,0.5000061840351839,0.5000014446176971,0.5000047670498254,0.5000061602614531,0.49999439836596177,0.4999986589660689,0.4999938372300706,0.5000011794281893,0.49999835167027745,0.500000460001283,0.4999956258774278,0.5000053445288233,0.49999424370234097,0.4999961600306458,0.5000046519546733,0.5000064776201998,0.49999913474351065,0.5000061127016755,0.5000064067966924,0.4999935316438082,0.4999953993217632,0.4999963225523997,0.4999968187834533,0.49999452975175873,0.500004981296319,0.5000008231325457,0.5000061213904592,0.49999928470223576,0.5000025291589444,0.49999813827722056,0.5000027515429367,0.4999937322527426,0.5000038571441761,0.5000007028776703,0.4999987181143684,0.49999490058780777,0.5000049707743772,0.49999433627439305,0.4999967667087569,0.5000036242282498,0.5000061750583022,0.49999679773674677,0.5000063386514925,0.5000048207587181,0.49999496266235055,0.4999935997132374,0.5000016176841029,0.49999363675620045,0.4999943568757276,0.5000057413838473,0.5000062548056897,0.4999994732624805,0.5000061766455002,0.5000059847217512,0.49999398364759484,0.4999939134677962,0.5000000250758382,0.49999394267386404,0.4999939420120973,0.50000604936859,0.5000060683599397,0.49999987498375664,0.5000061096517763,0.50000593263953,0.4999941212914761,0.49999379513240994,0.5000008212668073,0.4999937276466877,0.49999447859810014,0.5000053870721827,0.5000063344669511,0.499997922037048,0.5000063154344877,0.5000046026150179,0.49999566686166813,0.4999938746971162,0.5000037401870407,0.4999941551556433,0.4999970964355962,0.5000024528786873,0.5000051152253175,0.4999946030847553,0.5000043845234103,0.5000002939026148,0.5000003205150918,0.49999711266091307,0.500006286666718,0.4999983682695049,0.5000028982291497,0.49999647423116395,0.49999945405834106,0.4999945620984533,0.49999791330042387,0.4999944082127129,0.5000059236746542,0.500004251217348,0.5000022645918218,0.5000053871781025,0.5000060848916574,0.4999942198499443,0.4999937552496465,0.5000024451569156,0.4999939413747303,0.4999968887614385,0.5000021298248694,0.5000044795731362,0.499994039841878,0.5000026272715675,0.49999767171493087,0.5000033888535245,0.5000008793861054,0.5000049445496714,0.5000032264014035,0.5000061165016456,0.4999937733688585,0.49999425253778296,0.5000008566021995,0.49999378609428047,0.4999961358061229,0.500002652805016,0.5000046093626117,0.49999403888248595,0.5000021736162142,0.49999694137247425,0.5000042911638796,0.5000023452874187,0.5000035647875443,0.5000048681547283,0.5000060378502329,0.49999454379905806,0.4999938674141281,0.5000040990393129,0.4999952257269604,0.500000178069601,0.4999980850817926,0.5000001433127426,0.4999948513876632,0.499996678630342,0.49999384659000945,0.5000060018475554,0.5000061416073639,0.49999683328289535,0.5000052774032898,0.5000004936730641,0.5000014856370534,0.4999996508798077,0.5000051144436708,0.5000035228642467,0.5000061458114083,0.49999422818086714,0.4999938729920622,0.5000041057166242,0.4999956059579072,0.5000011474807872,0.49999679534177516,0.49999826398312447,0.4999965396078294,0.4999947507257818,0.49999452488707957,0.5000040638719735,0.5000050466886887,0.49999410269390754,0.5000011542258943,0.49999547399199024,0.5000057642227089,0.5000051660008002,0.4999990335768754,0.5000059027917587,0.5000016395291335,0.5000008882064876,0.49999963492095395,0.5000047362130355,0.5000043500717972,0.5000058386296157,0.4999954414351235,0.49999477273244164,0.5000058514862912,0.4999991477218165,0.5000049062829637,0.49999401923025005,0.4999942829195522,0.5000025560995938,0.4999949528449937,0.5000007068781028,0.4999966182511471,0.4999974064042979,0.4999980272193448,0.49999402225177497,0.4999965231621124,0.5000007125853564,0.5000014886904155,0.4999949001777321,0.49999584577219625,0.49999427429678905,0.5000040430591802,0.5000045164432536,0.49999396636241517,0.4999988074083851,0.499994110151864,0.50000572860776,0.5000058754700096,0.4999946983395032,0.5000015796842607,0.49999525040975934,0.5000059788885838,0.5000059111058834,0.4999961854589692,0.5000035675519581,0.49999681817425173,0.5000054244036707,0.5000052722298132,0.4999977034222112,0.500004740436417,0.4999982204963956,0.5000046555908922,0.5000045139292351,0.49999885426193824,0.5000053155030394,0.4999991719730108,0.5000040596725338,0.5000039810861956,0.4999994830390058,0.500005524327659,0.49999957834450026,0.5000038310852861,0.5000038363578114,0.49999955263454915,0.5000054971528006,0.49999942343944265,0.5000040260169085,0.5000041130124089,0.49999906369097247,0.5000052241316045,0.4999987162699849,0.5000045890893302,0.5000047321619141,0.49999804533687114,0.500004559540253,0.4999975111035618,0.5000053310921269,0.5000054717734628,0.4999966175447436,0.5000032714383278,0.49999599507063686,0.5000058779016036,0.5000059162585504,0.49999510654080814,0.5000011730517526,0.49999461005683926,0.500005659462633,0.5000054668752177,0.49999414543569404,0.49999836880833926,0.4999941093760766,0.5000040623650965,0.5000035439565692,0.4999946055686571,0.49999555657320877,0.4999953615162051,0.5000008660497203,0.5000000819063677,0.4999971517191938,0.49999412067477084,0.4999987227274616,0.4999968844100333,0.49999616421914805,0.5000013891307812,0.49999555471529955,0.5000031318314098,0.49999426075284714,0.49999413580665863,0.5000051644988807,0.499999992175466,0.5000058110331792,0.49999545013775787,0.49999623197848536,0.5000053038479222,0.500004760870251,0.5000039184692313,0.5000005837188333,0.500001778512484,0.5000006208634932,0.5000053249426998,0.49999810369383973,0.5000054057373061,0.5000057625875961,0.4999950449807495,0.5000000384655373,0.49999418890809155,0.5000041025638249,0.5000029656114565,0.4999953956735582,0.4999945176283663,0.4999977379877476,0.4999972566332408,0.49999600720014986,0.5000022528193049,0.499996788945909,0.5000047192934981,0.49999442982560066,0.49999511652061907,0.5000056483521172,0.5000043097507794,0.5000039590144112,0.5000010175970921,0.5000026753462721,0.49999908376366203,0.5000040998345099,0.4999959103383498,0.5000057112918999,0.5000051219418916,0.49999431264419764,0.49999575497736143,0.4999961627907108,0.4999986306907196,0.4999968332810207,0.5000016903539908,0.49999669214746045,0.5000048482364319,0.4999947183945865,0.49999587275496493,0.5000050331998802,0.5000053457336624,0.5000018311922823,0.5000036173529615,0.5000050145588738,0.4999958226526734,0.5000003273177378,0.4999942549105712,0.5000029001651515,0.5000007524833799,0.49999798799737233,0.49999463282166823,0.500002527930521,0.4999942816148028,0.4999946033450645,0.5000056768682547,0.5000043930584259,0.5000031508546616,0.5000026296150002,0.5000045273930438,0.4999962116139962,0.5000005109964736,0.49999429018386804,0.5000024774893673,0.4999999661874848,0.49999906700440866,0.49999532887827614,0.5000039452321731,0.499994536435838,0.4999958837839944,0.5000046616926722,0.5000056213037134,0.49999995677874637,0.5000051346822354,0.500005684659186,0.4999943327274644,0.49999621909691383,0.4999965413753207,0.49999736815128815,0.49999524280942903,0.5000043735852874,0.5000007986767756,0.5000053314744832,0.49999962095052924,0.5000025329909321,0.49999795818235404,0.5000019462950996,0.4999943788832635,0.5000028179857656,0.4999998420339924,0.49999972965812395,0.4999961525910476,0.5000049564473209,0.49999564150319153,0.49999826084066096,0.5000020409983822,0.5000049006969824,0.49999601228877044,0.50000514044938,0.500002992685171,0.49999682916181887,0.4999946342600661,0.5000031569081423,0.4999945485122416,0.4999963242430915,0.5000037551472093,0.5000055176700305,0.49999730688211363,0.5000055339442613,0.5000039085702097,0.4999960919593255,0.4999944712938279,0.5000026831627383,0.49999449434962423,0.49999624885049854,0.5000036713374175,0.500005430339413,0.499996874482043,0.5000053397106471,0.5000031681474973,0.499997008456512,0.499994890035473,0.5000039317023606,0.4999951301078473,0.49999794796712255,0.5000017549387085,0.5000043326124134,0.4999951244585183,0.5000038292457366,0.5000003124873313,0.5000001074684183,0.4999971807644982,0.5000055256575996,0.4999980339819613,0.5000019529475702,0.49999756599337164,0.5000004340821709,0.49999474941264876,0.4999992835230978,0.49999576113887084,0.5000046162578564,0.5000025082280906,0.5000034401933586,0.5000036334406472,0.500005523164529,0.4999944530377842,0.49999503357368086,0.49999995436865174,0.4999945449399075,0.49999541418975896,0.5000040649363425,0.5000053325880024,0.49999624383306024,0.5000045872466424,0.5000010063900421,0.49999992660618225,0.49999750538364734,0.5000055249544144,0.49999939376911595,0.50000357093726,0.49999570426737366,0.49999757147269985,0.499996862683707,0.49999585091363047,0.4999945219802447,0.5000052310538952,0.5000054833319992,0.4999976933695896,0.500005196203905,0.5000020578672318,0.4999991400839141,0.4999971010225668,0.5000054976367768,0.4999995402102677,0.5000038869555292,0.49999528851989933,0.4999966698905851,0.4999981067173433,0.499994968044903,0.4999951319849421,0.500004038609682,0.5000050852140765,0.499995486879891,0.5000032779395311,0.4999985616502041,0.5000028548732554,0.500001125050152,0.500003764314719,0.5000038907972901,0.5000054064380431,0.49999507806577215,0.4999945816496139,0.5000037211700644,0.49999600188162335,0.5000006705604899,0.49999765768497784,0.4999992392252758,0.49999613407812254,0.499996090603399,0.499994654684391,0.5000046897798731,0.500005276687361,0.49999570663321513,0.5000031820516652,0.49999809423715896,0.5000035698864211,0.5000023652948946,0.5000023153087096,0.5000050331977152,0.5000044271981572,0.4999970423615861,0.49999602015988565,0.5000053806664967,0.49999972769448536,0.5000044714940686,0.4999946953053919,0.49999508342488774,0.5000015235823528,0.49999497157317674,0.49999917764096563,0.49999859700685995,0.49999971404151256,0.4999961948786485,0.499995761831986,0.49999500387366913,0.5000036696712041,0.5000043520525311,0.49999469431851484,0.50000027666508,0.4999953889824536,0.5000053668906359,0.5000052015171882,0.49999736726612215,0.5000042512732342,0.4999990042451911,0.5000032892652033,0.5000026015474779,0.5000014475888792,0.5000053462009805,0.5000028518692735,0.4999996299265283,0.49999891762660903,0.5000044019672173,0.5000038380382615,0.5000050201213538,0.49999654026709844,0.4999960938104737,0.500005358226059,0.5000011758006412,0.500005251951161,0.49999493824493735,0.4999947959212536,0.5000047316572062,0.4999986250233763,0.5000042263389601,0.499994689066435,0.49999475288927187,0.5000033562462023,0.4999967818381079,0.5000027605841335,0.49999522190598633,0.4999953704763852,0.5000019185086103,0.49999569715874065,0.5000014208298069,0.49999598137498885,0.4999961243697833,0.5000008007681777,0.4999951701213481,0.5000004813238954,0.49999659719112444,0.4999966838728764,0.5000001504660526,0.4999949731168791,0.500000030090923,0.49999687960876504,0.49999688876514387,0.49999999999999956],"S":[0.4999920422528454,0.5000064140842391,0.5000063722173137,0.49999205657484147,0.4999972437961922,0.49999207628994935,0.5000060097341283,0.5000058644975801,0.4999921525623253,0.49999627386552487,0.4999922623410569,0.5000050157857328,0.5000047270842651,0.4999925776212218,0.49999479330490226,0.4999929310754909,0.5000032120968917,0.5000027369997156,0.49999375425234094,0.49999318857452374,0.4999945407913448,0.5000004507605514,0.4999997921793059,0.4999961288328569,0.49999218343596324,0.4999974663670191,0.49999694913817794,0.499996225971371,0.4999998385336348,0.49999278659663365,0.5000015837043252,0.4999936288053427,0.4999931264974734,0.5000042091893689,0.4999958438204152,0.5000057680551405,0.49999218524849504,0.49999229146651164,0.5000074116050303,0.5000011009951776,0.5000077998386954,0.499994362522625,0.4999952900194049,0.5000069923168061,0.5000062759445583,0.5000054568890103,0.500000198698312,0.500001572027419,0.5000018690484314,0.5000075124255224,0.4999989775759771,0.50000632782332,0.5000070808023093,0.4999948717491892,0.500002505699203,0.4999929773910983,0.5000071141820119,0.500006292813483,0.49999244017657635,0.4999947329976288,0.49999390934909205,0.5000003775858385,0.4999985745072205,0.49999843630442625,0.49999276275731425,0.5000021603342849,0.4999929308315916,0.4999923927987343,0.5000066553938042,0.5000003784930719,0.5000076883843262,0.49999520454506835,0.49999699854178076,0.5000052532036958,0.5000075762014174,0.5000014474629455,0.5000050893262269,0.500006518307249,0.499995160225677,0.5000020695091015,0.4999926578760134,0.5000060908487477,0.5000043864809558,0.49999389567060226,0.49999269027685356,0.49999784410681314,0.49999527872703914,0.49999359848346714,0.5000049149527873,0.4999983431485636,0.5000074733327231,0.4999945862163253,0.49999673613050527,0.5000050140993364,0.5000075905252448,0.5000000404473363,0.500006331235884,0.5000074097042976,0.49999325663746214,0.49999839883744385,0.4999927099114012,0.5000021212656268,0.499999230311544,0.49999896620994266,0.4999936332545271,0.500004594610852,0.49999249007386337,0.49999343028804,0.5000072212639308,0.5000064390835882,0.5000032589553051,0.5000042640613885,0.5000064389644852,0.4999944753769952,0.5000000165261332,0.49999252802710964,0.50000282854168,0.49999957373613796,0.49999905936635936,0.499993969160124,0.500005268508589,0.4999928161639696,0.49999453320004733,0.5000062261460265,0.5000073474525437,0.5000002913036385,0.500006550865001,0.5000074798041942,0.4999926286200829,0.49999558284806456,0.49999484510889414,0.499997354711782,0.4999943381868506,0.5000050053535116,0.49999988965415315,0.5000073319347753,0.499998177146174,0.5000019908847791,0.499998785585019,0.5000039987049295,0.49999302047169875,0.5000051318160049,0.5000016602336944,0.4999977116962104,0.49999365314152294,0.5000052124676935,0.4999931361555429,0.4999956511464078,0.5000047501321323,0.5000072841414719,0.4999968874993388,0.50000738430748,0.5000059467132175,0.49999384336656155,0.4999926404495985,0.5000013465751277,0.49999272447269943,0.49999327442730346,0.5000068139026757,0.500007117046558,0.4999998001867481,0.5000070200911212,0.5000070207252033,0.49999295570547203,0.4999930769511717,0.49999974463239905,0.49999309802752534,0.4999929443007392,0.5000070390564417,0.5000069401602955,0.5000000164703118,0.500007006041939,0.5000068794094048,0.4999931899230283,0.49999286013150546,0.500000909540114,0.4999927717309355,0.49999364150064285,0.5000061898887188,0.5000073019629528,0.49999752510283063,0.5000072689482719,0.5000052107421817,0.49999512378954475,0.49999299040531153,0.5000044741828574,0.4999933580151695,0.4999968843655384,0.5000025653661846,0.5000057083801677,0.49999362041196044,0.5000047901023993,0.4999999616376293,0.5000007689177294,0.49999705881642525,0.5000072500567037,0.4999985823761605,0.5000037700590928,0.49999552009066967,0.4999988301861769,0.49999404542947656,0.4999970469299991,0.49999330712247286,0.5000070022963253,0.5000053602871528,0.5000019519318766,0.5000065327475308,0.5000067883244527,0.49999367995561994,0.49999280010779207,0.5000035380774112,0.4999932850046112,0.49999718784156544,0.5000016059038268,0.5000044826279718,0.49999292548972224,0.5000021343624108,0.4999964456400401,0.5000046946192245,0.5000020093159789,0.5000049894968288,0.5000045793783086,0.500007156586327,0.49999295101186564,0.49999304128837296,0.5000021187574147,0.4999930110153446,0.49999656643189877,0.500001892942296,0.5000043760272369,0.49999290309418903,0.5000012412308547,0.4999953985708214,0.5000058109371184,0.5000039080817165,0.5000028806066162,0.5000063535235231,0.5000064727299942,0.4999945548864588,0.4999933107246622,0.5000057255680674,0.4999956144936257,0.5000017458422398,0.4999963636463076,0.4999985687917999,0.49999513583065125,0.49999491071579255,0.4999930123147045,0.5000063048310529,0.5000069899682471,0.49999499467203407,0.5000049664442398,0.4999987835673659,0.5000033886609214,0.5000014247847756,0.5000046454455261,0.5000054224092904,0.5000067824035296,0.49999427657441753,0.49999336995354515,0.500005973047335,0.4999965353701042,0.5000032174016956,0.49999476308010116,0.49999614391127173,0.4999979016975389,0.4999931801700966,0.49999494850388654,0.5000028563351984,0.5000042990216368,0.49999299698601757,0.4999991120684666,0.4999935940762053,0.5000070005016174,0.5000068054939897,0.49999671139490565,0.5000058118662277,0.4999995462286405,0.5000032674301987,0.5000019559869988,0.5000036089537504,0.5000063573112792,0.5000055907151214,0.49999672242310755,0.49999565451142836,0.5000069368498842,0.5000015643580389,0.5000067241931737,0.4999931826082015,0.49999305194449273,0.5000050596547444,0.49999608603223705,0.5000033549741427,0.4999942259569834,0.4999948505884686,0.5000004558960444,0.49999326991026044,0.49999857152951976,0.49999802270826366,0.4999988817591816,0.4999961530123686,0.49999361713873247,0.49999492072953716,0.500002102581391,0.5000028012989393,0.49999369676013566,0.4999959149353478,0.4999932717709679,0.5000050108072518,0.5000054119424562,0.4999931185215859,0.4999987283587577,0.49999326350356843,0.5000064693725693,0.5000066156856043,0.49999371971054996,0.5000011464854478,0.49999411327193255,0.5000068616781096,0.5000068607385119,0.49999473862954874,0.5000028372656347,0.4999951341227436,0.5000067274646344,0.500006678422609,0.49999563942527503,0.5000038136278271,0.49999589551968093,0.5000064959525584,0.5000064626323707,0.49999613467378357,0.5000041939470017,0.49999619007998114,0.5000064095731238,0.5000064179956583,0.4999961135814399,0.500004054151219,0.4999959589853949,0.5000065275387539,0.5000065685789759,0.4999955855683045,0.5000033713703033,0.49999525675759837,0.5000067336245181,0.5000067623831924,0.49999468254013757,0.5000020439431945,0.49999427841746985,0.5000067288661685,0.5000066636526955,0.4999937165665275,0.49999999223400887,0.4999934285295138,0.500006045964318,0.5000057808712031,0.49999324284970237,0.49999735263386635,0.499993357956252,0.5000041738866026,0.500003626656351,0.4999940124056964,0.4999947257080229,0.49999482595479317,0.5000008935799886,0.50000010105734,0.49999664803990046,0.49999329672741466,0.49999822968501173,0.499996807660703,0.49999603194762726,0.5000009659664578,0.49999447222386023,0.5000028400779825,0.49999370832579054,0.4999934272520107,0.5000052675248916,0.49999874386703524,0.500006320896483,0.4999940144354066,0.4999946278425472,0.5000065678071822,0.5000042273192893,0.5000056718964736,0.4999986994008054,0.49999998363961673,0.5000028021521432,0.50000664695654,0.500000182710624,0.5000048244919146,0.5000056828501318,0.4999961861991821,0.5000027545492663,0.4999942172633566,0.500006271852321,0.5000055958386451,0.49999345942596857,0.49999557164349306,0.4999947488517207,0.5000002500965395,0.4999986010702124,0.49999893153556135,0.4999939218343653,0.5000023176838957,0.49999371363238004,0.4999933891993185,0.5000060782064761,0.50000121396219,0.5000065359936633,0.4999967885272304,0.4999985614659365,0.5000034856806248,0.5000065906250565,0.49999974523745433,0.5000054397471209,0.5000063090432258,0.49999460571345544,0.49999988927683114,0.4999934177469534,0.5000037146066881,0.5000017804216126,0.49999643547988354,0.4999934454317478,0.5000006385048533,0.49999425034307715,0.499993518970251,0.5000059376060145,0.500001473124662,0.5000063220354001,0.49999797227590026,0.50000032012344,0.500001379276628,0.5000058272401279,0.49999667229827116,0.5000065373244695,0.5000061369715958,0.49999350431098,0.4999952520145444,0.4999959064766895,0.49999777330670625,0.4999955559882442,0.5000032742525955,0.49999793755768335,0.5000063540706291,0.4999955613530228,0.49999789220737384,0.5000033133984935,0.5000063658374628,0.4999979244487358,0.5000063923411585,0.5000062850264859,0.49999352138422276,0.49999520243058465,0.4999963188002775,0.4999970090305473,0.49999477494692274,0.5000045134894788,0.4999998640836578,0.5000064183468965,0.4999978681992048,0.5000009102444515,0.5000000434859894,0.5000045432651479,0.499994684937003,0.5000056231161546,0.5000034325002584,0.4999958940893885,0.4999935999648346,0.5000020329288329,0.49999359228320917,0.4999940720875527,0.5000061674245659,0.5000058222449596,0.5000014667301912,0.5000051502292111,0.5000063933476968,0.49999369982132724,0.49999608872549967,0.4999959305889438,0.4999969738492677,0.49999445491967126,0.5000052946964134,0.5000017332882362,0.5000055540954252,0.500000943841131,0.5000042185942121,0.4999960467185733,0.5000000807885077,0.4999938096584745,0.5000006429858591,0.4999969955760896,0.500002806256915,0.49999870263209106,0.500006363610309,0.49999839086691866,0.500002211486874,0.4999978837718878,0.5000018964260439,0.4999936274726571,0.5000019712940633,0.49999803900828177,0.5000019792398473,0.4999980882358745,0.500006358602675,0.49999824293607137,0.5000022774123234,0.49999759347892464,0.5000013483150008,0.4999937062195685,0.5000009547721573,0.4999968797403755,0.5000033420478569,0.49999982019767525,0.5000059839684597,0.5000004573205984,0.5000043448675918,0.4999953897967314,0.4999984255517846,0.4999949031949132,0.4999975974072042,0.499994389987005,0.5000058184731968,0.5000036978458627,0.5000032682239004,0.5000045334712138,0.500006297498769,0.49999370630158235,0.49999440132334116,0.4999996418046335,0.49999392081006555,0.4999944153771798,0.5000052082036385,0.5000062631543686,0.49999684989798576,0.5000059252340734,0.5000028571776034,0.49999792382578034,0.499995385188998,0.5000058489228851,0.49999679288769017,0.50000150012323,0.49999758438474784,0.5000004663869814,0.49999423764284073,0.4999984361019105,0.4999945739412637,0.5000058783503257,0.5000043581940116,0.5000018724999057,0.500005665380059,0.5000057920253974,0.49999476038552343,0.49999382472489334,0.5000037984551509,0.4999946673933895,0.499998814956116,0.4999998792362402,0.5000023920348861,0.4999938363115973,0.4999997138137361,0.4999951284219291,0.5000056210914066,0.5000041662489875,0.5000017432093751,0.5000058154084499,0.5000053998423819,0.49999552011550824,0.4999942595238016,0.5000050710701515,0.4999961666476872,0.5000013812956455,0.499997073635021,0.4999991661572544,0.49999536621351093,0.49999606926857426,0.4999938207694158,0.5000058752011978,0.5000061753298194,0.49999659156948956,0.5000052023567979,0.5000004494415544,0.5000014194196354,0.499999463256613,0.5000052867645907,0.5000031776671301,0.5000061380332171,0.49999402650081304,0.4999938568245769,0.5000034166750421,0.49999496101427954,0.50000004162725,0.4999978953267335,0.4999995826653984,0.4999954361893139,0.4999957164748969,0.4999939741862819,0.5000052276469169,0.5000058783832037,0.49999494372862063,0.5000031553761142,0.4999972603770063,0.5000045758595879,0.5000034576963001,0.5000016179396025,0.50000600291269,0.5000041053298636,0.4999979792241442,0.49999674522136356,0.5000060264879753,0.5000015430476645,0.5000058742948017,0.4999939685850893,0.49999391681760436,0.5000038312170084,0.49999573873344616,0.5000017214917167,0.49999596958307246,0.4999968899958883,0.4999983482525223,0.4999939822324965,0.4999964166962204,0.50000105540452,0.5000020421351451,0.49999449604222423,0.4999966346877715,0.4999939774291814,0.5000050305843168,0.500005476154235,0.4999942732930624,0.5000009620945681,0.4999950459315773,0.5000060079568428,0.5000058616792511,0.49999675354241285,0.5000043888823542,0.4999980742600656,0.5000044853216402,0.5000040048090896,0.5000000657439627,0.5000059126314567,0.5000012898009856,0.5000018733377407,0.5000013332922255,0.5000028572220905,0.500005809342223,0.5000036956488582,0.49999933523020623,0.49999889524412905,0.5000046458149752,0.500004835244134,0.5000050946757905,0.49999742544452225,0.49999713139941315,0.500005542907471,0.5000036741260658,0.5000057251361907,0.4999962261161522,0.49999606120479023,0.5000058779178881,0.5000027533728284,0.5000059264691314,0.4999956067341327,0.4999955384117003,0.5000059548879515,0.5000022765972698,0.5000059578922559,0.4999954206690982,0.4999954280105679,0.5000059492743708,0.5000023127073536,0.500005933651068,0.49999560623307837,0.49999569064719424,0.5000058808282365,0.5000028535446076,0.5000058103173239,0.4999962156214065,0.49999639979894805,0.500005613169113,0.5000038095366102,0.5000053926803787,0.4999973868172547,0.4999977015979102,0.5000048739791288,0.5000049465256388,0.5000043708973106,0.49999924615490077,0.4999997004487984,0.5000033346317615,0.5000058020303607,0.5000024417296041,0.5000017198739934,0.500002252718661,0.5000008121292856,0.5000056787966243,0.49999957088906427,0.5000042842588828,0.5000047193413713,0.4999976112603294,0.5000038776422497,0.4999963614793941,0.5000058291134587,0.5000058903452804,0.499994845926703,0.50000029161176,0.4999942559218845,0.5000049893228113,0.5000044566176691,0.4999942886592927,0.49999615773368006,0.4999950311272515,0.5000012383991935,0.5000002416219763,0.49999721617556603,0.4999941351661141,0.49999922355311305,0.4999963061677567,0.4999955142055763,0.5000024827922999,0.49999659354650805,0.5000043462844191,0.49999417946154084,0.4999944294414077,0.5000058123678491,0.5000024060270681,0.5000055247553015,0.49999779277387035,0.49999907188383663,0.5000030808439745,0.5000058324405896,0.5000004744560973,0.500004139800741,0.5000050149016485,0.4999964335725212,0.5000019590795314,0.49999463782846476,0.5000051301794041,0.5000042281907866,0.4999946408838065,0.4999951564730668,0.49999661263851836,0.4999983585188033,0.49999686179766234,0.5000013297411418,0.4999961175295697,0.5000042366490844,0.49999429360221226,0.4999948602998479,0.5000057192699561,0.5000040885772699,0.500004095774726,0.500000925996982,0.5000026865751412,0.49999895998345084,0.5000039221340465,0.49999568086741697,0.5000056106887862,0.5000048272672429,0.49999448192701657,0.4999952734397385,0.49999687706478047,0.49999768944769624,0.4999959780888702,0.5000028022774454,0.49999785874876207,0.5000054575224707,0.4999955246685321,0.4999971814760911,0.5000039516726272,0.5000057388941274,0.49999988994755334,0.5000049581602872,0.5000056924733812,0.4999946242648175,0.4999979711321538,0.4999948513374896,0.5000004189333761,0.4999980692354705,0.5000007753904295,0.4999963250232539,0.5000047804717108,0.49999491646542354,0.49999650195190165,0.500004284648716,0.5000056943345524,0.4999997528790871,0.5000051479749784,0.5000057109555138,0.49999436774850836,0.4999967212858978,0.49999587918463345,0.4999983653441235,0.4999960558801884,0.5000032779023624,0.4999990760415394,0.5000056945275311,0.4999975420877994,0.500000260290364,0.5000004918893395,0.5000042475359683,0.49999548872668437,0.500005036263535,0.5000031042949425,0.49999637836820654,0.4999943800746363,0.5000019426349975,0.4999943403355031,0.4999949268853701,0.5000052877778639,0.5000053215273045,0.5000006977764663,0.5000049112069713,0.5000056580227248,0.49999434824887573,0.4999958539120526,0.4999972790662309,0.4999964013016024,0.49999462415145596,0.5000052665046053,0.5000028039723204,0.5000039943236588,0.5000023258626903,0.5000047807019719,0.499995337972124,0.4999982751752423,0.49999533335160845,0.49999858491268395,0.49999573531471425,0.5000041922739972,0.5000010996342454,0.5000049374694003,0.5000009922613968,0.5000040385465372,0.49999596370486266,0.49999901228891325,0.49999506841493635,0.49999891121194284,0.49999582815407395,0.5000042396346085,0.5000013937203521,0.5000046518841369,0.5000016953607593,0.5000046181697774,0.4999952678509826,0.4999977177272909,0.49999602002695503,0.49999725034451836,0.4999947996514454,0.5000053059105257,0.5000035268997097,0.5000027235502157,0.5000040624634549,0.5000055720022141,0.4999944222356325,0.49999518823454747,0.4999992607588898,0.49999478537066827,0.4999947825464692,0.5000050089619398,0.50000555013026,0.4999981555451339,0.5000055168535372,0.5000035999197187,0.49999690227417143,0.49999504087379937,0.500004362067405,0.49999580010528444,0.49999943952976045,0.4999998291996253,0.5000024720606806,0.4999944544678836,0.5000009878688136,0.4999968883301929,0.5000037639126749,0.5000014942808245,0.5000040668447382,0.5000030957798627,0.5000054399039122,0.4999944701987517,0.4999950664705374,0.5000001282957577,0.4999945088394018,0.49999578721359306,0.5000034676601812,0.5000049557125453,0.4999954620548786,0.500003633135216,0.49999937967712527,0.5000017345056033,0.4999994666518428,0.5000050009822649,0.5000018190194246,0.5000051042697986,0.4999945660350709,0.499995326411987,0.499999960361566,0.4999945233876637,0.49999611729532506,0.5000028222199351,0.500004364918579,0.4999948486100828,0.5000021863167916,0.4999974736943918,0.5000037079214338,0.5000020442425633,0.5000031063448774,0.5000043877177652,0.5000052827501473,0.4999953303786262,0.499994645626614,0.5000039679207764,0.49999615869987246,0.5000008023520109,0.4999976277907887,0.49999931167932404,0.4999960044131961,0.4999962843028389,0.4999945850890098,0.5000049258552791,0.50000539919533,0.4999961575586006,0.500003795519268,0.4999989528081906,0.5000027667050128,0.5000013360260038,0.5000033429209652,0.5000044116222497,0.500005092710201,0.4999959008139331,0.4999951079040762,0.5000049138982217,0.4999979619079346,0.5000031411278187,0.4999954503811031,0.49999631388552307,0.4999993255179362,0.499994585916609,0.4999969386013322,0.5000010984663597,0.50000227017952,0.4999948052761599,0.4999979996410071,0.4999946530090845,0.5000052228623019,0.5000053986130223,0.4999961622948211,0.5000033503755597,0.4999979491510594,0.5000039599202418,0.5000031917564718,0.5000009785960682,0.5000053862434505,0.5000027940928994,0.4999995048043109,0.49999859526914975,0.5000046987336701,0.5000033040002405,0.5000052894791743,0.499995741919706,0.4999952922532169,0.5000051784023638,0.49999944326391227,0.5000045540242473,0.4999946412841267,0.49999474055394794,0.5000030718925809,0.4999962498192182,0.5000018903304074,0.4999959029511572,0.4999963287798357,0.5000000788691953,0.49999477362917377,0.49999895351062024,0.49999825716951946,0.4999987521628023,0.49999750366594914,0.49999483178438187,0.4999967258830837,0.5000005971229701,0.500001005588449,0.49999584550630793,0.49999573989588847,0.4999954321674584,0.5000023741570345,0.500002648625965,0.49999502526817835,0.49999685434715097,0.49999486465392307,0.5000034960221311,0.5000036513022746,0.49999473765190827,0.49999776687492287,0.49999470245717076,0.50000408626979,0.5000041546486299,0.4999946881002876,0.4999982822986716,0.4999946896046871,0.5000042948263455,0.5000042992769477,0.4999946948352303],"x":[40000.0,40020.02002002002,40040.04004004004,40060.06006006006,40080.08008008008,40100.1001001001,40120.12012012012,40140.14014014014,40160.16016016016,40180.18018018018,40200.2002002002,40220.22022022022,40240.24024024024,40260.260260260264,40280.28028028028,40300.3003003003,40320.32032032032,40340.34034034034,40360.36036036036,40380.38038038038,40400.4004004004,40420.42042042042,40440.44044044044,40460.46046046046,40480.48048048048,40500.5005005005,40520.52052052052,40540.54054054054,40560.56056056056,40580.58058058058,40600.6006006006,40620.62062062062,40640.64064064064,40660.66066066066,40680.68068068068,40700.7007007007,40720.72072072072,40740.74074074074,40760.760760760764,40780.780780780784,40800.800800800804,40820.82082082082,40840.84084084084,40860.86086086086,40880.88088088088,40900.9009009009,40920.92092092092,40940.94094094094,40960.96096096096,40980.98098098098,41001.001001001,41021.02102102102,41041.04104104104,41061.06106106106,41081.08108108108,41101.1011011011,41121.12112112112,41141.14114114114,41161.16116116116,41181.18118118118,41201.2012012012,41221.22122122122,41241.24124124124,41261.261261261265,41281.281281281284,41301.301301301304,41321.321321321324,41341.341341341344,41361.36136136136,41381.38138138138,41401.4014014014,41421.42142142142,41441.44144144144,41461.46146146146,41481.48148148148,41501.5015015015,41521.52152152152,41541.54154154154,41561.56156156156,41581.58158158158,41601.6016016016,41621.62162162162,41641.64164164164,41661.66166166166,41681.68168168168,41701.7017017017,41721.72172172172,41741.74174174174,41761.761761761765,41781.781781781785,41801.801801801805,41821.821821821824,41841.841841841844,41861.861861861864,41881.88188188188,41901.9019019019,41921.92192192192,41941.94194194194,41961.96196196196,41981.98198198198,42002.002002002,42022.02202202202,42042.04204204204,42062.06206206206,42082.08208208208,42102.1021021021,42122.12212212212,42142.14214214214,42162.16216216216,42182.18218218218,42202.2022022022,42222.22222222222,42242.24224224224,42262.262262262266,42282.282282282285,42302.302302302305,42322.322322322325,42342.342342342345,42362.362362362364,42382.382382382384,42402.402402402404,42422.42242242242,42442.44244244244,42462.46246246246,42482.48248248248,42502.5025025025,42522.52252252252,42542.54254254254,42562.56256256256,42582.58258258258,42602.6026026026,42622.62262262262,42642.64264264264,42662.66266266266,42682.68268268268,42702.7027027027,42722.72272272272,42742.74274274274,42762.762762762766,42782.782782782786,42802.802802802806,42822.822822822825,42842.842842842845,42862.862862862865,42882.882882882885,42902.902902902904,42922.922922922924,42942.942942942944,42962.96296296296,42982.98298298298,43003.003003003,43023.02302302302,43043.04304304304,43063.06306306306,43083.08308308308,43103.1031031031,43123.12312312312,43143.14314314314,43163.16316316316,43183.18318318318,43203.2032032032,43223.22322322322,43243.24324324324,43263.26326326327,43283.28328328329,43303.303303303306,43323.323323323326,43343.343343343346,43363.363363363365,43383.383383383385,43403.403403403405,43423.423423423425,43443.443443443444,43463.463463463464,43483.483483483484,43503.5035035035,43523.52352352352,43543.54354354354,43563.56356356356,43583.58358358358,43603.6036036036,43623.62362362362,43643.64364364364,43663.66366366366,43683.68368368368,43703.7037037037,43723.72372372372,43743.74374374374,43763.76376376377,43783.78378378379,43803.80380380381,43823.82382382383,43843.843843843846,43863.863863863866,43883.883883883886,43903.903903903905,43923.923923923925,43943.943943943945,43963.963963963964,43983.983983983984,44004.004004004004,44024.024024024024,44044.04404404404,44064.06406406406,44084.08408408408,44104.1041041041,44124.12412412412,44144.14414414414,44164.16416416416,44184.18418418418,44204.2042042042,44224.22422422422,44244.24424424424,44264.26426426427,44284.28428428429,44304.30430430431,44324.32432432433,44344.34434434435,44364.364364364366,44384.384384384386,44404.404404404406,44424.424424424426,44444.444444444445,44464.464464464465,44484.484484484485,44504.504504504504,44524.524524524524,44544.544544544544,44564.56456456456,44584.58458458458,44604.6046046046,44624.62462462462,44644.64464464464,44664.66466466466,44684.68468468468,44704.7047047047,44724.72472472472,44744.74474474474,44764.76476476477,44784.78478478479,44804.80480480481,44824.82482482483,44844.84484484485,44864.86486486487,44884.88488488489,44904.904904904906,44924.924924924926,44944.944944944946,44964.964964964965,44984.984984984985,45005.005005005005,45025.025025025025,45045.045045045044,45065.065065065064,45085.085085085084,45105.1051051051,45125.12512512512,45145.14514514514,45165.16516516516,45185.18518518518,45205.2052052052,45225.22522522522,45245.24524524524,45265.26526526527,45285.28528528529,45305.30530530531,45325.32532532533,45345.34534534535,45365.36536536537,45385.38538538539,45405.40540540541,45425.42542542543,45445.445445445446,45465.465465465466,45485.485485485486,45505.505505505505,45525.525525525525,45545.545545545545,45565.565565565565,45585.585585585584,45605.605605605604,45625.625625625624,45645.64564564564,45665.66566566566,45685.68568568568,45705.7057057057,45725.72572572572,45745.74574574574,45765.76576576577,45785.78578578579,45805.80580580581,45825.82582582583,45845.84584584585,45865.86586586587,45885.88588588589,45905.90590590591,45925.92592592593,45945.94594594595,45965.96596596597,45985.985985985986,46006.006006006006,46026.026026026026,46046.046046046045,46066.066066066065,46086.086086086085,46106.106106106105,46126.126126126124,46146.146146146144,46166.166166166164,46186.18618618618,46206.2062062062,46226.22622622622,46246.24624624624,46266.26626626627,46286.28628628629,46306.30630630631,46326.32632632633,46346.34634634635,46366.36636636637,46386.38638638639,46406.40640640641,46426.42642642643,46446.44644644645,46466.46646646647,46486.48648648649,46506.50650650651,46526.526526526526,46546.546546546546,46566.566566566566,46586.586586586585,46606.606606606605,46626.626626626625,46646.646646646645,46666.666666666664,46686.686686686684,46706.706706706704,46726.72672672672,46746.74674674674,46766.76676676677,46786.78678678679,46806.80680680681,46826.82682682683,46846.84684684685,46866.86686686687,46886.88688688689,46906.90690690691,46926.92692692693,46946.94694694695,46966.96696696697,46986.98698698699,47007.00700700701,47027.02702702703,47047.04704704705,47067.067067067066,47087.087087087086,47107.107107107106,47127.127127127125,47147.147147147145,47167.167167167165,47187.187187187184,47207.207207207204,47227.227227227224,47247.247247247244,47267.26726726727,47287.28728728729,47307.30730730731,47327.32732732733,47347.34734734735,47367.36736736737,47387.38738738739,47407.40740740741,47427.42742742743,47447.44744744745,47467.46746746747,47487.48748748749,47507.50750750751,47527.52752752753,47547.54754754755,47567.56756756757,47587.587587587586,47607.607607607606,47627.627627627626,47647.647647647645,47667.667667667665,47687.687687687685,47707.707707707705,47727.727727727724,47747.747747747744,47767.76776776777,47787.78778778779,47807.80780780781,47827.82782782783,47847.84784784785,47867.86786786787,47887.88788788789,47907.90790790791,47927.92792792793,47947.94794794795,47967.96796796797,47987.98798798799,48008.00800800801,48028.02802802803,48048.04804804805,48068.06806806807,48088.08808808809,48108.10810810811,48128.128128128126,48148.148148148146,48168.168168168166,48188.188188188185,48208.208208208205,48228.228228228225,48248.248248248245,48268.26826826827,48288.28828828829,48308.30830830831,48328.32832832833,48348.34834834835,48368.36836836837,48388.38838838839,48408.40840840841,48428.42842842843,48448.44844844845,48468.46846846847,48488.48848848849,48508.50850850851,48528.52852852853,48548.54854854855,48568.56856856857,48588.58858858859,48608.60860860861,48628.62862862863,48648.64864864865,48668.668668668666,48688.688688688686,48708.708708708706,48728.728728728725,48748.748748748745,48768.76876876877,48788.78878878879,48808.80880880881,48828.82882882883,48848.84884884885,48868.86886886887,48888.88888888889,48908.90890890891,48928.92892892893,48948.94894894895,48968.96896896897,48988.98898898899,49009.00900900901,49029.02902902903,49049.04904904905,49069.06906906907,49089.08908908909,49109.10910910911,49129.12912912913,49149.14914914915,49169.16916916917,49189.18918918919,49209.209209209206,49229.229229229226,49249.249249249246,49269.26926926927,49289.28928928929,49309.30930930931,49329.32932932933,49349.34934934935,49369.36936936937,49389.38938938939,49409.40940940941,49429.42942942943,49449.44944944945,49469.46946946947,49489.48948948949,49509.50950950951,49529.52952952953,49549.54954954955,49569.56956956957,49589.58958958959,49609.60960960961,49629.62962962963,49649.64964964965,49669.66966966967,49689.68968968969,49709.70970970971,49729.72972972973,49749.749749749746,49769.76976976977,49789.78978978979,49809.80980980981,49829.82982982983,49849.84984984985,49869.86986986987,49889.88988988989,49909.90990990991,49929.92992992993,49949.94994994995,49969.96996996997,49989.98998998999,50010.01001001001,50030.03003003003,50050.05005005005,50070.07007007007,50090.09009009009,50110.11011011011,50130.13013013013,50150.15015015015,50170.17017017017,50190.19019019019,50210.21021021021,50230.23023023023,50250.250250250254,50270.27027027027,50290.29029029029,50310.31031031031,50330.33033033033,50350.35035035035,50370.37037037037,50390.39039039039,50410.41041041041,50430.43043043043,50450.45045045045,50470.47047047047,50490.49049049049,50510.51051051051,50530.53053053053,50550.55055055055,50570.57057057057,50590.59059059059,50610.61061061061,50630.63063063063,50650.65065065065,50670.67067067067,50690.69069069069,50710.71071071071,50730.73073073073,50750.750750750754,50770.770770770774,50790.790790790794,50810.81081081081,50830.83083083083,50850.85085085085,50870.87087087087,50890.89089089089,50910.91091091091,50930.93093093093,50950.95095095095,50970.97097097097,50990.99099099099,51011.01101101101,51031.03103103103,51051.05105105105,51071.07107107107,51091.09109109109,51111.11111111111,51131.13113113113,51151.15115115115,51171.17117117117,51191.19119119119,51211.21121121121,51231.23123123123,51251.251251251255,51271.271271271275,51291.291291291294,51311.311311311314,51331.331331331334,51351.35135135135,51371.37137137137,51391.39139139139,51411.41141141141,51431.43143143143,51451.45145145145,51471.47147147147,51491.49149149149,51511.51151151151,51531.53153153153,51551.55155155155,51571.57157157157,51591.59159159159,51611.61161161161,51631.63163163163,51651.65165165165,51671.67167167167,51691.69169169169,51711.71171171171,51731.73173173173,51751.751751751755,51771.771771771775,51791.791791791795,51811.811811811815,51831.831831831834,51851.851851851854,51871.871871871874,51891.89189189189,51911.91191191191,51931.93193193193,51951.95195195195,51971.97197197197,51991.99199199199,52012.01201201201,52032.03203203203,52052.05205205205,52072.07207207207,52092.09209209209,52112.11211211211,52132.13213213213,52152.15215215215,52172.17217217217,52192.19219219219,52212.21221221221,52232.23223223223,52252.252252252256,52272.272272272276,52292.292292292295,52312.312312312315,52332.332332332335,52352.352352352355,52372.372372372374,52392.392392392394,52412.412412412414,52432.43243243243,52452.45245245245,52472.47247247247,52492.49249249249,52512.51251251251,52532.53253253253,52552.55255255255,52572.57257257257,52592.59259259259,52612.61261261261,52632.63263263263,52652.65265265265,52672.67267267267,52692.69269269269,52712.71271271271,52732.73273273273,52752.752752752756,52772.772772772776,52792.792792792796,52812.812812812816,52832.832832832835,52852.852852852855,52872.872872872875,52892.892892892894,52912.912912912914,52932.932932932934,52952.95295295295,52972.97297297297,52992.99299299299,53013.01301301301,53033.03303303303,53053.05305305305,53073.07307307307,53093.09309309309,53113.11311311311,53133.13313313313,53153.15315315315,53173.17317317317,53193.19319319319,53213.21321321321,53233.23323323323,53253.25325325326,53273.27327327328,53293.293293293296,53313.313313313316,53333.333333333336,53353.353353353355,53373.373373373375,53393.393393393395,53413.413413413415,53433.433433433434,53453.453453453454,53473.473473473474,53493.49349349349,53513.51351351351,53533.53353353353,53553.55355355355,53573.57357357357,53593.59359359359,53613.61361361361,53633.63363363363,53653.65365365365,53673.67367367367,53693.69369369369,53713.71371371371,53733.73373373373,53753.75375375376,53773.77377377378,53793.7937937938,53813.81381381382,53833.833833833836,53853.853853853856,53873.873873873876,53893.893893893895,53913.913913913915,53933.933933933935,53953.953953953955,53973.973973973974,53993.993993993994,54014.014014014014,54034.03403403403,54054.05405405405,54074.07407407407,54094.09409409409,54114.11411411411,54134.13413413413,54154.15415415415,54174.17417417417,54194.19419419419,54214.21421421421,54234.23423423423,54254.25425425426,54274.27427427428,54294.2942942943,54314.31431431432,54334.33433433434,54354.35435435436,54374.374374374376,54394.394394394396,54414.414414414416,54434.434434434435,54454.454454454455,54474.474474474475,54494.494494494495,54514.514514514514,54534.534534534534,54554.554554554554,54574.57457457457,54594.59459459459,54614.61461461461,54634.63463463463,54654.65465465465,54674.67467467467,54694.69469469469,54714.71471471471,54734.73473473473,54754.75475475476,54774.77477477478,54794.7947947948,54814.81481481482,54834.83483483484,54854.85485485486,54874.87487487488,54894.8948948949,54914.914914914916,54934.934934934936,54954.954954954956,54974.974974974975,54994.994994994995,55015.015015015015,55035.035035035035,55055.055055055054,55075.075075075074,55095.095095095094,55115.11511511511,55135.13513513513,55155.15515515515,55175.17517517517,55195.19519519519,55215.21521521521,55235.23523523523,55255.25525525526,55275.27527527528,55295.2952952953,55315.31531531532,55335.33533533534,55355.35535535536,55375.37537537538,55395.3953953954,55415.41541541542,55435.43543543544,55455.455455455456,55475.475475475476,55495.495495495496,55515.515515515515,55535.535535535535,55555.555555555555,55575.575575575574,55595.595595595594,55615.615615615614,55635.635635635634,55655.65565565565,55675.67567567567,55695.69569569569,55715.71571571571,55735.73573573573,55755.75575575576,55775.77577577578,55795.7957957958,55815.81581581582,55835.83583583584,55855.85585585586,55875.87587587588,55895.8958958959,55915.91591591592,55935.93593593594,55955.95595595596,55975.975975975976,55995.995995995996,56016.016016016016,56036.036036036036,56056.056056056055,56076.076076076075,56096.096096096095,56116.116116116114,56136.136136136134,56156.156156156154,56176.17617617617,56196.19619619619,56216.21621621621,56236.23623623623,56256.25625625626,56276.27627627628,56296.2962962963,56316.31631631632,56336.33633633634,56356.35635635636,56376.37637637638,56396.3963963964,56416.41641641642,56436.43643643644,56456.45645645646,56476.47647647648,56496.4964964965,56516.516516516516,56536.536536536536,56556.556556556556,56576.576576576575,56596.596596596595,56616.616616616615,56636.636636636635,56656.656656656654,56676.676676676674,56696.696696696694,56716.71671671671,56736.73673673673,56756.75675675676,56776.77677677678,56796.7967967968,56816.81681681682,56836.83683683684,56856.85685685686,56876.87687687688,56896.8968968969,56916.91691691692,56936.93693693694,56956.95695695696,56976.97697697698,56996.996996997,57017.01701701702,57037.03703703704,57057.057057057056,57077.077077077076,57097.097097097096,57117.117117117115,57137.137137137135,57157.157157157155,57177.177177177175,57197.197197197194,57217.217217217214,57237.237237237234,57257.25725725726,57277.27727727728,57297.2972972973,57317.31731731732,57337.33733733734,57357.35735735736,57377.37737737738,57397.3973973974,57417.41741741742,57437.43743743744,57457.45745745746,57477.47747747748,57497.4974974975,57517.51751751752,57537.53753753754,57557.55755755756,57577.57757757758,57597.597597597596,57617.617617617616,57637.637637637636,57657.657657657655,57677.677677677675,57697.697697697695,57717.717717717715,57737.737737737734,57757.75775775776,57777.77777777778,57797.7977977978,57817.81781781782,57837.83783783784,57857.85785785786,57877.87787787788,57897.8978978979,57917.91791791792,57937.93793793794,57957.95795795796,57977.97797797798,57997.997997998,58018.01801801802,58038.03803803804,58058.05805805806,58078.07807807808,58098.0980980981,58118.11811811812,58138.138138138136,58158.158158158156,58178.178178178176,58198.198198198195,58218.218218218215,58238.238238238235,58258.25825825826,58278.27827827828,58298.2982982983,58318.31831831832,58338.33833833834,58358.35835835836,58378.37837837838,58398.3983983984,58418.41841841842,58438.43843843844,58458.45845845846,58478.47847847848,58498.4984984985,58518.51851851852,58538.53853853854,58558.55855855856,58578.57857857858,58598.5985985986,58618.61861861862,58638.63863863864,58658.658658658656,58678.678678678676,58698.698698698696,58718.718718718716,58738.738738738735,58758.75875875876,58778.77877877878,58798.7987987988,58818.81881881882,58838.83883883884,58858.85885885886,58878.87887887888,58898.8988988989,58918.91891891892,58938.93893893894,58958.95895895896,58978.97897897898,58998.998998999,59019.01901901902,59039.03903903904,59059.05905905906,59079.07907907908,59099.0990990991,59119.11911911912,59139.13913913914,59159.15915915916,59179.17917917918,59199.199199199196,59219.219219219216,59239.239239239236,59259.25925925926,59279.27927927928,59299.2992992993,59319.31931931932,59339.33933933934,59359.35935935936,59379.37937937938,59399.3993993994,59419.41941941942,59439.43943943944,59459.45945945946,59479.47947947948,59499.4994994995,59519.51951951952,59539.53953953954,59559.55955955956,59579.57957957958,59599.5995995996,59619.61961961962,59639.63963963964,59659.65965965966,59679.67967967968,59699.6996996997,59719.71971971972,59739.739739739736,59759.75975975976,59779.77977977978,59799.7997997998,59819.81981981982,59839.83983983984,59859.85985985986,59879.87987987988,59899.8998998999,59919.91991991992,59939.93993993994,59959.95995995996,59979.97997997998,60000.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/medium.json new file mode 100644 index 000000000000..3ac918e7fa14 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/medium.json @@ -0,0 +1 @@ +{"C":[0.4999998986788179,0.4976812961506306,0.5004275821693361,0.5013361347905305,0.4990574391560986,0.49964585451277155,0.5009721961959278,0.49936711809322804,0.4999289543984067,0.5005685167813786,0.4993214626315927,0.5005069224601237,0.4997676708041729,0.49998122625160246,0.5001952204943411,0.49970387525894455,0.500340599308916,0.49965153269347706,0.5003321122906097,0.49970496738970055,0.5002337405391531,0.49985801262127255,0.500017814634699,0.5001265518876318,0.4997445379803783,0.5003109606965558,0.49976215800197954,0.5000358835528512,0.5001921971525788,0.49973098604803057,0.5000950893717319,0.5001785745651587,0.4997742379493461,0.4999573335848714,0.5002349384600715,0.4999850167834194,0.4997775232948492,0.49999064251380687,0.5002063221766023,0.5000997796971824,0.4998691099174272,0.4998090557870596,0.4999461366482786,0.5001159678147515,0.5001844040463557,0.5001362864886584,0.5000304696931632,0.49992923238582504,0.49986414277798524,0.49983753399670017,0.4998371952066094,0.4998487135291674,0.49986129586088934,0.499868883774003,0.4998694027944292,0.49986399982341256,0.49985692833128165,0.49985578555606835,0.49987095823192534,0.49991245536902895,0.4999826323060248,0.5000662775605318,0.5001259645977664,0.5001163663975099,0.5000241320297482,0.4999084223222534,0.499880428902191,0.49998819358896746,0.5001117458071146,0.5000719824601895,0.4999158916219972,0.4999131930410557,0.5000803497703713,0.50007148103979,0.4998996300428949,0.4999813383795395,0.5001069964716345,0.4999309408431397,0.4999667747392611,0.500099715510383,0.4999083917318008,0.5000332085625757,0.5000328380697937,0.4999213618637716,0.5000976212679727,0.4999036136053946,0.5000851258865349,0.4999277870173739,0.5000627574989199,0.4999408690810491,0.5000618293241991,0.49993013242064294,0.5000805257700132,0.499911260243961,0.5000869634912843,0.49993308370743095,0.5000246202734254,0.5000318454460106,0.4999226306643457,0.5000782602951661,0.4999793078957458,0.49994237682463927,0.5000787647179137,0.499993199722455,0.49992481767682817,0.5000439218524668,0.5000608263352613,0.49994781319888815,0.4999387721181395,0.5000383270826532,0.5000734533495036,0.5000029412018551,0.49993228852748905,0.4999394191997098,0.5000025915051012,0.5000587822025029,0.5000716322520272,0.5000454491137879,0.5000036060839174,0.4999664201072438,0.49994283188984595,0.4999324933207942,0.49993086462787584,0.49993304178068015,0.49993548011331623,0.4999363485178441,0.4999354044633502,0.4999339059071926,0.49993463493827045,0.49994169554617085,0.4999593953921716,0.4999894926342297,0.5000270127851532,0.5000572791615651,0.500059750338448,0.5000232863348861,0.4999664453350648,0.4999383085895503,0.4999757971030385,0.500044036229399,0.5000518139576007,0.49997882058843063,0.49994253194153826,0.5000154587647849,0.5000552680532564,0.49997100798059724,0.4999587327411801,0.5000520238412443,0.5000004932550265,0.49995051599428486,0.5000509894446833,0.49998586156447217,0.4999718729257874,0.5000521023979555,0.4999468286376013,0.500038843491421,0.4999809520187276,0.5000007722928297,0.5000128383843223,0.49997876535527863,0.5000249210697586,0.4999756030094486,0.5000196920315949,0.49998957482573286,0.49999637307149186,0.5000214356157866,0.49996067392926224,0.5000501937426398,0.49995486415184764,0.500019244147867,0.5000197381769711,0.4999522406088293,0.5000378115487564,0.5000093129347903,0.49995246064675436,0.5000257902822025,0.5000334917234446,0.49996069565109263,0.4999753169735936,0.5000401222718699,0.5000293838592217,0.49996965253355835,0.4999573397104137,0.5000021729234457,0.5000423089681884,0.5000376678786862,0.5000011898709081,0.4999667277961806,0.49995477540902933,0.49996502813817395,0.49998646601897434,0.5000083238004517,0.5000248418230936,0.5000349210279064,0.5000399519759515,0.5000419114746557,0.5000423047490808,0.5000417573916996,0.5000399313080839,0.5000356062350162,0.500027008390958,0.5000126531682073,0.4999929267281793,0.49997207718081654,0.49995905662449763,0.4999644270106335,0.4999915942701097,0.500026717293909,0.5000405552769471,0.5000138521797719,0.49997011073378295,0.49996500902452595,0.5000119666622549,0.5000394000828237,0.4999949212112865,0.49996097110633764,0.5000118503847756,0.5000339551367653,0.4999710505687206,0.4999870222480169,0.5000383258318444,0.4999746761705387,0.4999926030343041,0.5000324918118106,0.49996257210565265,0.5000256458836382,0.4999930617648778,0.49998941565184934,0.5000231749848374,0.49996943165975405,0.5000341334669735,0.49996454532537105,0.5000356034683311,0.49996512006080496,0.5000327791880294,0.4999718942950806,0.5000193568136952,0.4999943847794864,0.49998805353630216,0.500028486315503,0.4999644753097404,0.5000249949539578,0.500002261304886,0.49997045170364673,0.5000314188410723,0.4999998416165165,0.49996773261647515,0.5000211187844588,0.5000226384604437,0.499971941760843,0.4999809378585183,0.5000268214474914,0.5000247293109005,0.49998362016954656,0.49996690925294696,0.49999182479945603,0.5000242662969303,0.500032421612259,0.5000148737196964,0.4999892635707911,0.49997165267809246,0.49996743576292774,0.4999736284153723,0.49998453125725567,0.4999955413751913,0.5000042450019795,0.5000099339172963,0.5000127241635087,0.500012870295644,0.500010421457497,0.5000052019558029,0.4999971051791601,0.49998670740252255,0.49997608372748886,0.4999693302860848,0.4999717632060062,0.49998669790899064,0.5000103002556083,0.5000287848239018,0.5000252103491236,0.4999975211070236,0.499971470942471,0.4999805080097308,0.5000173833063011,0.5000271749734174,0.4999894114450174,0.49997211036878264,0.5000132211989505,0.5000237682421543,0.4999766363906601,0.49999122712176997,0.5000290663386943,0.4999816814775485,0.4999921285304613,0.5000263508499788,0.49997266530894663,0.5000150259117343,0.5000014522782538,0.4999847562555485,0.5000237772037442,0.49997242557369115,0.5000283982307803,0.4999720093889728,0.5000275362392695,0.4999724486913774,0.5000279012145233,0.4999721941499594,0.5000258681172045,0.49997967109610114,0.5000098553835826,0.5000049743467816,0.49997999581885666,0.5000273902405782,0.4999804771056566,0.4999972478588745,0.5000240254808928,0.499977495189865,0.4999951919637458,0.5000266211363805,0.4999901470337724,0.4999768343335983,0.5000146029928103,0.5000226454101199,0.49998891300248804,0.4999742715597393,0.49999821544297435,0.500023630643178,0.5000208045572532,0.49999756283977587,0.49997786109849607,0.49997512239707587,0.4999867894635262,0.5000032074964396,0.5000165146623006,0.5000237188902803,0.5000255387757123,0.5000241746110713,0.5000217609614568,0.5000197663600665,0.5000189681178203,0.5000195977353367,0.5000214198057845,0.5000236728564968,0.5000249420747491,0.5000231902956721,0.5000163268676203,0.5000036586147487,0.4999879717689983,0.4999766205712203,0.4999786972075901,0.4999968112025598,0.5000187773881808,0.5000223417938978,0.49999950236934565,0.4999767403671977,0.49998873568259783,0.5000197432126848,0.5000143369477951,0.49998008307928354,0.4999897582818786,0.5000232395930272,0.4999975192966295,0.49997937276630855,0.5000199133720206,0.49999960701724583,0.4999818622029464,0.5000232076434262,0.49998461462805327,0.5000019357754414,0.5000104174441263,0.4999814972257626,0.5000222358020547,0.4999769839980185,0.5000224483222115,0.49997826666186923,0.5000215185282091,0.49997807778990594,0.5000225521383529,0.49997751510784805,0.5000203136126541,0.49998549951663374,0.5000042999679054,0.5000087704442792,0.4999802330002378,0.5000214118598567,0.49999075087825756,0.49998902453018235,0.5000221281129003,0.4999900422965659,0.49998511929115086,0.5000195892763942,0.5000061457830022,0.4999785308002333,0.4999961314645715,0.5000210254918428,0.5000089279347391,0.49998316730964937,0.49998159102521067,0.5000025367449948,0.5000197715042592,0.500018105133472,0.5000027900953347,0.4999869786976515,0.49997922177604137,0.4999804605425091,0.49998724550922485,0.4999955875114785,0.5000028939076343,0.5000081490505208,0.5000113254830898,0.5000127450827921,0.5000126607413867,0.5000110731672629,0.5000077405959634,0.5000023801971732,0.4999950964136457,0.49998700357173936,0.4999807465656944,0.499980196645194,0.49998841278968403,0.5000039026784229,0.5000179065511068,0.5000180601668995,0.5000007540649554,0.499981901402666,0.4999855646117456,0.5000100769343019,0.5000187556541843,0.4999942412796827,0.49998095601309744,0.5000079555951319,0.5000163918979911,0.499984692417345,0.4999937288859943,0.500019576267563,0.4999876712777117,0.4999948747263627,0.5000176173949451,0.49998135315452097,0.500010805071955,0.5000000302960111,0.499990654278512,0.5000153549966377,0.4999817123049794,0.5000192174566003,0.4999807602633823,0.5000191027211346,0.4999808879842152,0.5000191271095328,0.4999814321349314,0.5000164680656268,0.49998827830594783,0.5000037126789336,0.500006638344755,0.4999840915453075,0.5000185970339266,0.4999895468061524,0.4999941397586788,0.5000181015426677,0.49998732374255095,0.4999923113174717,0.5000184810528546,0.49999795081919873,0.4999820399216174,0.5000053668696255,0.500017846112174,0.49999767139536766,0.49998170984693424,0.49999298836729333,0.5000129427520991,0.5000173941696959,0.5000046946695526,0.4999889395048755,0.49998194065739227,0.49998560056723973,0.4999952017459972,0.5000052297296131,0.5000125169123619,0.5000164327097776,0.5000177900137844,0.5000177821177292,0.5000173938808103,0.5000172066310664,0.5000173837589649,0.5000176832828992,0.5000174520137837,0.5000156668639629,0.5000111895774781,0.5000034324902974,0.4999934405482387,0.4999848064670412,0.49998301386482263,0.49999177583132903,0.5000074168470151,0.5000172578764936,0.5000094130090893,0.49998993393675006,0.4999836923642851,0.5000023067710342,0.5000171870291897,0.5000000137190098,0.49998291134447714,0.500003660420692,0.5000153119170176,0.4999879767815296,0.4999938513855423,0.5000168035064484,0.499988768731435,0.4999972254486332,0.5000138838970948,0.49998328281219806,0.5000124099647106,0.4999951641230197,0.4999973628182737,0.5000083156353505,0.49998808728892663,0.500013845899394,0.4999853376940773,0.5000147213587698,0.4999859297566884,0.5000124346311313,0.4999906870028026,0.5000042352127445,0.5000027397983452,0.49998965117713406,0.5000156968539373,0.49998503692392215,0.5000060530347304,0.5000076085802473,0.4999839102527414,0.5000098546810381,0.5000074279071985,0.499983998702817,0.5000021879501798,0.5000152977803213,0.4999937768143769,0.49998523797091204,0.5000048561496837,0.5000158127553436,0.5000021067479172,0.49998594270878205,0.49998732207152535,0.5000018376158412,0.5000138692261478,0.5000147303986471,0.5000065099541778,0.4999958936897433,0.49998803954309584,0.4999846181603652,0.4999848044810711,0.4999869123265223,0.4999894495719818,0.49999146198508765,0.4999924713273061,0.49999230816470497,0.49999100706102306,0.499988823623688,0.4999863623220336,0.4999847270869546,0.4999854901736224,0.4999901645622323,0.4999989608735803,0.5000092274007751,0.5000151414358576,0.5000108728711093,0.49999720934911196,0.49998559248230334,0.49998988086976864,0.5000074079269837,0.5000145247616223,0.49999814952283433,0.49998499357556825,0.5000012870628772,0.5000146857124722,0.49999417141563796,0.4999884804452402,0.5000130492915635,0.500000582766218,0.49998706505208595,0.5000135623203382,0.4999954447960466,0.4999936908000274,0.500013193994895,0.49998537039453844,0.5000120948841474,0.49999215455641277,0.5000036214158833,0.49999965674930913,0.49999832625925295,0.5000023984045735,0.4999981460181143,0.5000000329255807,0.500003039814151,0.49999289974048367,0.5000113392858829,0.499985833942593,0.5000134127663981,0.49999255513099705,0.4999971895851366,0.5000122596555235,0.49998666953693566,0.5000027487131801,0.5000111664591216,0.4999875676352054,0.49999707402030763,0.500014192533611,0.49999812240009833,0.4999860602189357,0.5000017092131186,0.5000140981575888,0.500003374091356,0.4999880601861166,0.4999885283850547,0.5000017341963819,0.500012573133758,0.5000125602973627,0.5000041361752965,0.49999421967899743,0.4999878116848991,0.49998614600207403,0.4999879687408492,0.4999913619628836,0.499994816335093,0.4999974910647714,0.4999990493856999,0.4999994069981329,0.49999856001348014,0.4999965437748543,0.4999935282288099,0.4999900284153347,0.49998714027923286,0.4999865709356875,0.4999900862173067,0.4999981061803442,0.5000079316100434,0.5000134682489178,0.500008915864705,0.4999959093592181,0.49998667982272177,0.4999934299999837,0.5000094618442685,0.5000111123463922,0.499993689625202,0.49998813629890876,0.5000069901779447,0.5000100652071552,0.49998907816151017,0.49999647438265116,0.5000130915424679,0.49999176970527126,0.4999961229984278,0.5000121930304985,0.4999878708851592,0.5000058957222939,0.5000019933933494,0.4999917383222546,0.500011801727224,0.49998698446994155,0.5000128647999617,0.49998774679874325,0.5000117892767791,0.4999882368012834,0.5000121777570852,0.4999872487728218,0.5000128910730998,0.49998828248612265,0.5000082907912506,0.49999779616646184,0.4999944975866461,0.5000116898078013,0.49998801587993125,0.5000041417491977,0.500007597842328,0.4999873264681656,0.5000038822711126,0.5000101272181534,0.49999001622674577,0.49999389494039237,0.5000115451826118,0.500005336505087,0.49998912568542503,0.4999916752500272,0.5000068564808264,0.5000122939935954,0.5000029536553376,0.4999910466654823,0.49998765413424273,0.49999351055224944,0.5000027613037598,0.5000097953365037,0.500012416741988,0.5000113004181742,0.5000082219963615,0.5000047702688658,0.500001899783982,0.5000000138132848,0.4999992119001291,0.49999949542789984,0.5000008602369421,0.5000032640540962,0.5000064735444341,0.5000098272349358,0.5000120462250013,0.5000113825682231,0.500006477427413,0.4999979736794253,0.4999898825794254,0.4999884377655315,0.4999967938564134,0.5000087853302094,0.500011116345617,0.49999891680374475,0.49998804822806386,0.4999966737328326,0.5000113755327353,0.5000035199089494,0.4999881806427886,0.5000004422998976,0.5000112986696696,0.4999920939743498,0.4999956505843487,0.5000117039157401,0.49999113291894115,0.5000001013504204,0.5000079642413604,0.49998833699824746,0.5000109509999634,0.49999237346977693,0.5000035893857725,0.4999999459004692,0.4999975247405883,0.5000039242552209,0.49999563565329536,0.5000038379372448,0.49999769491943696,0.4999997065511898,0.5000038533497008,0.4999921764898901,0.5000109457298324,0.4999886693155809,0.500007310286184,0.500000811882233,0.49999086342911797,0.5000111625478998,0.49999668607921055,0.4999916311335587,0.5000104633998742,0.5000015993925611,0.4999885347621422,0.5000020657291813,0.5000112085913175,0.4999982928871847,0.49998857160880394,0.49999736099300973,0.5000096765974239,0.5000093781229039,0.49999882813760155,0.49998995094279103,0.49998960838937795,0.4999960997510178,0.5000040685202343,0.5000095018256402,0.5000112747772572,0.5000102455402388,0.5000078662263867,0.5000053310348259,0.5000033416191052,0.5000022081910068,0.500002028351189,0.500002809465129,0.5000044890508427,0.5000068490820541,0.5000093520873619,0.5000109943697815,0.5000103862505261,0.5000063496594849,0.4999991384121451,0.49999166550133717,0.4999890694441421,0.49999496690848555,0.500005905376699,0.5000109237743967,0.5000025453866697,0.49999037378613237,0.4999930960789379,0.5000078378702313,0.5000076666916469,0.4999915962015978,0.4999945722759269,0.5000105257554576,0.4999990540904988,0.4999905851880909,0.5000093963721421,0.49999905133484956,0.4999923595938676,0.5000108122839179,0.49999167879319,0.5000029022729688,0.5000026323832271,0.49999324974787335,0.500009165452371,0.49998972759316185,0.5000106332696949,0.4999893065325202,0.5000106756959554,0.4999894431524681,0.5000100712574411,0.49999125386118204,0.500006034892565,0.4999983587291791,0.49999605424506544,0.5000089473704896,0.49998952589607404,0.5000061860452268,0.5000027443356418,0.4999900286691508,0.5000078397557741,0.5000032335393795,0.49998949250198993,0.5000027199434101,0.5000095835720787,0.49999512000105006,0.49999064852613573,0.5000036379824042,0.5000103010450209,0.5000013005976828,0.49999085370257007,0.49999149740859833,0.500000671971183,0.5000087228448301,0.5000099680540186,0.5000052909547336,0.4999986202528626,0.499993219908219,0.4999903493753544,0.4999897156499619,0.49999040009960627,0.4999915097542325,0.49999242997792065,0.4999928317158336,0.4999926042568669,0.4999918156262113,0.49999073510450187,0.49998989713027847,0.4999901234671715,0.49999235002642434,0.49999708987174735,0.5000035567539254,0.500009009620134,0.5000095202914522,0.50000309224696,0.4999935727798938,0.4999901238299443,0.49999811767726055,0.5000088611540929,0.5000065809701844,0.49999332804167107,0.49999222146905703,0.5000066721189853,0.5000065186771407,0.49999117084395645,0.49999821732666305,0.5000097399792383,0.49999356582441246,0.49999709686949206,0.5000092866900077,0.4999910928464476,0.5000036686286914,0.5000026173190963,0.49999272685175483,0.5000095128897876,0.4999901855375951,0.50000907285386,0.4999919214865871,0.5000073463909827,0.49999286607131954,0.5000075003589572,0.4999916719389465,0.5000092875901458,0.4999902177266051,0.5000089718099872,0.4999939658111044,0.50000079458095,0.500005428180674,0.4999905046051874,0.5000078507127516,0.4999999606234844,0.4999917363995443,0.5000081920622306,0.500001846932277,0.49999037751763664,0.500002709326449,0.5000089126753546,0.4999961664510865,0.4999909319259659,0.5000017444040638,0.5000095783337778,0.5000036986857679,0.49999344854197697,0.4999907185979288,0.49999669777871425,0.5000048480677393,0.5000092598530788,0.5000084921938597,0.500004387012932,0.49999948144215156,0.49999544463793244,0.49999282332709,0.49999143975510074,0.49999085744527516,0.4999906794847676,0.4999906801302292,0.4999908435786988,0.49999136471047223,0.49999261595959377,0.4999950327679043,0.4999988447090716,0.500003635182384,0.5000079201807879,0.5000092739490304,0.5000056689479336,0.49999794766111044,0.4999913660744661,0.4999926454148657,0.5000020973689344,0.5000092320264692,0.5000034135255346,0.4999920730018114,0.4999945532384422,0.5000075219932554,0.5000046618761252,0.499991311542691,0.4999992929504053,0.5000088560711186,0.49999388179617843,0.4999971906202621,0.5000087469439989,0.4999921753653917,0.500002245517886,0.5000038841074234,0.49999213117034585,0.5000091365300482,0.4999915751098908,0.5000068013308179,0.49999488584444846,0.5000038625567533,0.4999967245973553,0.5000034255749118,0.4999957071222598,0.5000057477397116,0.49999253707343055,0.5000088019178123,0.49999119570910583,0.5000064664109768,0.4999985194492969,0.49999524063787376,0.500008809517638,0.49999308787845903,0.4999990308340451,0.5000082981893159,0.49999358307028896,0.4999960986937576,0.5000087297682602,0.5000006439202838,0.49999107879623267,0.4999995985258672,0.5000087851002075,0.5000032142630099,0.4999930024588007,0.4999923173478486,0.500000482487186,0.5000077580589092,0.5000080758962733,0.5000027209966452,0.499996270815371,0.4999921504474867,0.49999123044413585,0.4999926557778861,0.49999510966791133,0.4999975678565539,0.49999947983922977,0.5000006477435729,0.5000010419726791,0.5000006695589083,0.49999952820982224,0.49999764943082464,0.4999952263774694,0.49999279430803245,0.4999913514542261,0.4999921889555525,0.4999961647587726,0.5000024739648112,0.5000078168069023,0.5000077052965705,0.5000007454127071,0.49999267116105706,0.4999930058729309,0.5000027955943117,0.5000085559826488,0.499999999999998],"S":[0.49681690114783755,0.5001715827562954,0.5017807542392415,0.4992952185110351,0.49912590847650146,0.501061210343519,0.49981153698406805,0.49937666637818684,0.5008022202334148,0.49953165963821466,0.4999889004871724,0.5003726014979363,0.4994616326606645,0.5005487127020103,0.49952216409053496,0.5003866630084436,0.4996893358948838,0.5002647123339901,0.49974869135345534,0.5002660806526721,0.49970064468022396,0.5003349276764184,0.4996513956460819,0.5003106975703923,0.4998024709099293,0.5000138321103812,0.5001835405081032,0.49971191200012893,0.500204799833069,0.5000402163073724,0.4997540544201882,0.5001832436405931,0.5001038300272369,0.4997622632175341,0.49999717137795663,0.5002282335591962,0.4999877061872081,0.49978299667319465,0.49995183513754504,0.5001811244686853,0.5001537882847645,0.49995021430086484,0.499814757733014,0.49985114814948006,0.49999039098273723,0.5001187804555324,0.5001744311701039,0.5001584227202684,0.5001023374648248,0.5000377731857476,0.4999835391762845,0.49994613936990306,0.4999250627001728,0.499917667162061,0.4999220473216225,0.49993802039749924,0.49996663012159925,0.5000082683639904,0.500059436072197,0.5001089563617238,0.5001364398569875,0.5001180489391334,0.5000435785187409,0.4999392678343419,0.4998729783547955,0.4999114548247773,0.5000382175574912,0.5001231648557655,0.50004890705648,0.49990363888312545,0.4999163488225797,0.500078466969629,0.500082899507655,0.49991129201044693,0.49994932120574176,0.5001094117404956,0.4999763377921284,0.49991669591389903,0.5001015700388547,0.49996536789895296,0.49995017348691867,0.5000975380884516,0.49990362068616007,0.5000627921077401,0.49998090391150657,0.4999805089598641,0.5000469790385327,0.4999365244145913,0.5000714329926729,0.4999268657674578,0.5000695157018475,0.49994008272966267,0.500042534778918,0.49998430093891616,0.49998021429535766,0.5000575704305221,0.49991616142615053,0.5000804273208334,0.4999632738395629,0.4999673407049078,0.5000813866708297,0.49994003180393676,0.4999758907778985,0.5000813088295643,0.4999703217740982,0.49993304253652243,0.5000509426841289,0.5000587988391452,0.49995182574071545,0.4999329741374012,0.5000214644447767,0.5000757952371352,0.5000326932266026,0.49995656778298764,0.4999261429384296,0.4999562526481894,0.5000121622618442,0.5000559074967319,0.5000713625256824,0.5000624055376783,0.5000408943554594,0.5000174309796857,0.49999809035483245,0.4999850285442483,0.4999783039041071,0.4999774224519996,0.499982165422459,0.49999270262582646,0.5000090383494531,0.5000298161920599,0.5000507473688462,0.5000636449451226,0.5000580503571779,0.5000275397626194,0.49997974264710987,0.49994185698410315,0.49994764935708824,0.5000023500517348,0.5000563168878255,0.5000420159555895,0.49996888555475416,0.4999438433570919,0.5000158096796471,0.5000571397930953,0.4999799558588061,0.499949313240107,0.5000407553114827,0.5000247530204094,0.4999427719700703,0.5000279926381342,0.5000242927503915,0.499945697207885,0.5000481350532768,0.49998119409553393,0.4999857840315325,0.5000384990454844,0.49994910211104804,0.5000539995849173,0.499947889113309,0.5000489279540159,0.4999532139542176,0.5000466964292702,0.4999514779342699,0.5000509949657614,0.49994838980723805,0.5000467488472266,0.4999673329142413,0.500007972171503,0.5000227057182439,0.49995360161707947,0.5000458739332991,0.4999864197989855,0.49996825844606335,0.500048195912553,0.4999889368987281,0.4999588842241331,0.5000347514183522,0.5000275440255967,0.4999591486848999,0.49997463703155604,0.5000369468572211,0.5000358234259507,0.4999810109693509,0.4999536066545125,0.499981453541813,0.5000263148993505,0.5000456903696661,0.5000309842020039,0.4999995805191048,0.49997169584487616,0.49995733813336524,0.4999562588442842,0.49996332376708663,0.4999731153856603,0.49998193337318453,0.4999878924604748,0.49999028581449173,0.49998897472404497,0.49998411960346856,0.4999763224296953,0.4999671216983425,0.49995959452765687,0.4999584644506825,0.49996872170794293,0.49999195717598705,0.5000214216143506,0.5000404621152487,0.5000312694172173,0.4999944464664395,0.4999616868461274,0.4999725984849655,0.5000201119755565,0.5000383473803351,0.49999318613533184,0.49996052494401283,0.5000068044727661,0.5000376138766457,0.49998029824742296,0.4999737491450374,0.5000366743726848,0.499994432081907,0.4999709277513158,0.5000376639879099,0.49997988663563053,0.49999317620725475,0.5000278749925527,0.4999629315685566,0.50003602531872,0.4999706644122616,0.5000212413600285,0.49998555554577345,0.5000102455407519,0.49999089961791865,0.5000110625355267,0.4999840869478691,0.5000229482563691,0.49996949001135876,0.5000355407503912,0.4999662180102091,0.5000214911332347,0.5000009296685488,0.4999749445069337,0.5000351737976916,0.49998104963610734,0.49998466684757337,0.5000348191839482,0.49998729225861793,0.49997266770392707,0.5000259048086755,0.500019669995924,0.4999716886241172,0.49997911114262195,0.5000231330605148,0.5000294860544922,0.49999417916975364,0.4999675453880718,0.4999771386810405,0.5000071964646866,0.5000295512706736,0.5000311590425736,0.5000165630023992,0.4999969479934403,0.49998086321149954,0.49997146197399733,0.4999679697810643,0.4999680626274925,0.49996947752402976,0.49997066105012167,0.49997085395007806,0.49997001547910225,0.499968803183538,0.49996862125163766,0.49997155538093074,0.4999798341016909,0.49999443587516984,0.5000129340531152,0.5000279419239546,0.500029064857187,0.5000107486033477,0.4999826262807888,0.4999695920561907,0.49998949615095234,0.5000231909290703,0.5000246812556152,0.499987095800503,0.4999719536110333,0.5000107084513827,0.5000266749252038,0.4999822423244569,0.4999818787067197,0.5000281302843661,0.49999581409139227,0.4999771753821969,0.5000280853724985,0.4999877257994052,0.49999039944449647,0.5000246569971012,0.4999712583575413,0.5000242965078374,0.49998412889029314,0.5000071769022999,0.4999997551873545,0.499995785722573,0.5000061446513434,0.49999436577567863,0.5000026850766525,0.5000027276763385,0.4999896843187637,0.5000189030209296,0.4999741441765105,0.5000271296702743,0.49998113857130216,0.5000009482534034,0.5000191109987099,0.49997290583943876,0.5000126405139418,0.5000150307073262,0.4999734538701747,0.5000038206834556,0.500024934154826,0.49998666969289063,0.49997771343201786,0.500013883727402,0.5000240483907792,0.4999940832641743,0.4999737411210544,0.4999885939604423,0.5000158589197046,0.5000259665719619,0.5000136373252123,0.49999270929842227,0.4999777849270039,0.4999744313866848,0.4999803185927333,0.4999903257510866,0.5000002597990639,0.5000080024227436,0.5000130804851015,0.500015816162745,0.5000166530803619,0.5000157902081183,0.5000130733891791,0.5000081036482358,0.5000005911305658,0.49999099548763193,0.49998132515411564,0.4999755376418006,0.4999784681576981,0.49999236869137154,0.500012148707325,0.5000242451291756,0.5000155572464245,0.49999040237056247,0.4999757574170533,0.49999339333323267,0.5000213192257493,0.5000137245297815,0.49998078024494663,0.49998676822467075,0.5000215340135304,0.5000050395278354,0.4999764157590374,0.5000115675336586,0.5000126369989384,0.499976482938772,0.5000148735363049,0.5000029371119084,0.49998246274259567,0.5000231858892368,0.49997926595075626,0.5000138991338269,0.4999938157094454,0.4999996827500269,0.5000048055299828,0.49999279666760527,0.5000076424333594,0.4999938258328946,0.500002715912671,0.5000027744755124,0.49999010356419415,0.5000172526380615,0.49997793682121233,0.5000206332141125,0.49998954471660556,0.49999375526876916,0.5000202325306699,0.49998071535568045,0.5000004260392713,0.5000197021529265,0.4999837700849072,0.49999006824275605,0.500021027638527,0.5000040714799002,0.49997854941569314,0.4999944655915303,0.5000197640794942,0.5000135879029399,0.49998874204305443,0.49997862534829274,0.4999916277478331,0.5000114422220885,0.500021181736501,0.5000168713772729,0.5000044974244062,0.49999175674673507,0.4999831221711007,0.49997936312130364,0.49997914802679627,0.4999806449754558,0.49998237565231896,0.49998343730706213,0.499983436284233,0.4999823948196211,0.4999807500121761,0.49997943911693876,0.49997994205173557,0.4999840179738793,0.49999281543634316,0.5000053042050644,0.5000168538726584,0.5000200276981859,0.5000096815354325,0.49999071247995125,0.49997975342699985,0.4999909993682281,0.5000140812603385,0.5000174132934531,0.49999285079648087,0.4999808204747818,0.5000060405258756,0.500018276407998,0.49998873970742835,0.4999873766501179,0.5000187760277475,0.499997384037065,0.4999846280834814,0.5000189804277627,0.4999913746669507,0.49999405693883525,0.5000162647755086,0.4999805174182887,0.500017044659682,0.49998815139022473,0.5000063276883797,0.4999981307606681,0.49999901323625345,0.5000021388774346,0.49999839432299564,0.49999939128426546,0.5000044532645844,0.4999904192359773,0.5000149663551444,0.4999813984377145,0.5000177244782996,0.49998982263202113,0.4999969583991207,0.5000156296248318,0.49998217654594046,0.50000477761439,0.5000137217839347,0.4999830190621123,0.4999978972049871,0.5000184468030923,0.49999547877598144,0.4999823157053427,0.5000046470356562,0.5000182539497491,0.500001630659731,0.49998307089498967,0.49998708409161496,0.5000055104744799,0.5000175919991102,0.5000144148726378,0.5000016114560194,0.4999890448533328,0.49998259406536966,0.4999827582135352,0.49998709247710355,0.49999279585599987,0.4999979717473087,0.5000017514954579,0.5000039250002302,0.5000045358556563,0.5000036255444645,0.500001160466989,0.49999713890295155,0.4999918741518575,0.4999863984343424,0.4999827615487326,0.49998373148925784,0.4999913051912852,0.5000040834080395,0.5000153731401815,0.5000157396188586,0.5000019217556373,0.4999854496645081,0.499985936280539,0.5000056549888755,0.5000170706735351,0.49999960830841117,0.4999828427112134,0.500001087630554,0.5000166926835152,0.4999924876293009,0.4999879506966074,0.5000158365963574,0.49999773905284545,0.49998734292887076,0.5000166590651886,0.4999904424743737,0.4999981192174014,0.500011309012474,0.49998395565624515,0.5000165155681213,0.49998552632450965,0.5000116468453165,0.4999907921993972,0.5000077747221056,0.49999240696173813,0.5000086804420462,0.4999891530196981,0.5000135833098885,0.4999841170430242,0.5000161762748444,0.49998730909437744,0.5000045552885481,0.5000064991264359,0.4999848841412442,0.5000143610485895,0.49999793658911645,0.49998715337013644,0.500014352539165,0.500002037578028,0.4999840489617906,0.5000049229658732,0.5000147841112541,0.4999938011185984,0.4999847746135644,0.5000020994188407,0.5000157820732257,0.5000074142700401,0.49999046476397324,0.49998427261522044,0.4999924201604411,0.5000056490466639,0.5000143390667885,0.5000151731171194,0.5000101555201214,0.5000029483668748,0.4999963255402339,0.4999915009022193,0.4999885400034119,0.49998700495109466,0.49998642727963694,0.4999865511838147,0.49998741818697745,0.4999893506723201,0.49999282487037716,0.49999816680644993,0.500005024505133,0.5000117561729667,0.5000152653474472,0.5000121711663061,0.5000017874903071,0.49998935015396284,0.49998506562732126,0.49999526337424266,0.5000112609338054,0.5000131729085171,0.49999592128911236,0.4999850538909148,0.5000009097676499,0.5000149525265295,0.49999703644634064,0.499986226740062,0.500009497434502,0.500007200536086,0.4999851330426902,0.5000073000970334,0.5000059924906747,0.49998591658153146,0.5000133617554001,0.49999340342450665,0.49999831816463086,0.5000083563815754,0.49998759719681396,0.5000141962944717,0.4999853779535457,0.5000145050673966,0.49998562202954294,0.5000144334598096,0.49998547250277925,0.5000141809601452,0.4999873817265458,0.5000089639868205,0.4999972510445235,0.49999474294682666,0.5000123053355021,0.4999859194878939,0.5000074280161412,0.5000052050035033,0.4999859800144408,0.5000088741806619,0.500006943054655,0.49998608811760187,0.5000000961233542,0.5000140445919217,0.4999975915996258,0.49998598066856903,0.4999997689167767,0.5000136666940358,0.5000074134068688,0.49999192053883684,0.49998609930878224,0.49999387488138347,0.5000060997461933,0.5000133127869398,0.5000126609417531,0.500006673295527,0.4999992692552694,0.4999931371736485,0.49998920096293703,0.4999872034083124,0.4999864456807848,0.499986270296634,0.4999862721538098,0.4999863569902034,0.49998674622667644,0.49998795301954674,0.4999906731869742,0.49999547664855754,0.5000022152489624,0.5000092941243003,0.5000134349085879,0.5000109815802456,0.5000012396574176,0.49998985773833016,0.499987152623183,0.4999980521053482,0.5000117257045862,0.5000095167649715,0.4999925132149554,0.4999882034393818,0.5000061382678676,0.5000113583352404,0.49999128121826186,0.499992417605055,0.5000127986534806,0.49999792496531886,0.49998963574720795,0.5000126328165745,0.499994958634029,0.49999485815706024,0.5000117586340902,0.4999870182876342,0.5000101842530248,0.499994327980558,0.5000012365918375,0.5000022165451964,0.49999555471929924,0.5000055138057302,0.49999447675731395,0.5000044803503921,0.49999770390492765,0.4999989123906691,0.5000054370580238,0.4999901194216177,0.5000126889603982,0.4999883769275166,0.5000053130720272,0.5000045575622535,0.4999878860094351,0.5000102805719084,0.5000015217176116,0.49998785995005646,0.5000077079978322,0.5000078626396443,0.4999888756917633,0.49999477908128914,0.5000114717162302,0.5000064311146131,0.4999905215012779,0.4999894327126955,0.5000026597241778,0.5000122078610427,0.50000878267039,0.49999789746831175,0.4999893101152805,0.4999878217707319,0.4999922841131689,0.4999990729319017,0.5000051854444895,0.5000093028134087,0.5000114431328222,0.5000122331791598,0.5000123620650722,0.5000123191971312,0.5000123164067363,0.5000122790500846,0.5000118502950027,0.5000104281861546,0.5000073247137351,0.5000021652701763,0.4999955488387858,0.499989656103586,0.499987982236618,0.499993236011168,0.5000037431777491,0.5000117047832027,0.5000083477955228,0.49999521641063,0.4999879637035131,0.49999832892393353,0.5000115830309255,0.5000039272033132,0.49998850945537837,0.499997920683788,0.5000119760256592,0.4999960550530931,0.49999103781958204,0.5000111136638964,0.4999977514545776,0.4999920614384635,0.500011884675749,0.4999912001044213,0.500002110641203,0.5000044911826014,0.49999096963753487,0.5000112448024303,0.49998821247382713,0.5000115083785192,0.4999889188249638,0.5000108981086077,0.49998892244895665,0.5000114784856404,0.49998831190513016,0.5000110217749009,0.49999135406648226,0.500003972860064,0.5000026158810946,0.49999097652734686,0.5000115689998049,0.49999288220488836,0.49999697048917524,0.500011065272732,0.49999206099741494,0.4999951804839831,0.5000113929197079,0.4999992566196968,0.4999887134558379,0.5000023814318255,0.5000113155341853,0.499999975158878,0.49998889599375473,0.4999939764866045,0.5000064519270155,0.5000113076055903,0.5000052831483206,0.49999546447611487,0.4999893695117559,0.49998944867943407,0.49999389558755974,0.49999969247632586,0.5000046810271052,0.5000080420660883,0.50000988953684,0.5000107111280756,0.5000109859758488,0.5000110058132813,0.500010817793997,0.5000102197391891,0.5000087956158914,0.5000060407473697,0.500001660307801,0.49999607056699275,0.49999090717043554,0.4999889573692945,0.4999927265088208,0.5000016053702316,0.5000098188685348,0.5000093036463532,0.49999866105580765,0.499989307286699,0.4999947234682585,0.5000085167772916,0.5000076460720503,0.4999922017545429,0.49999302402090146,0.5000094618386147,0.5000028097436032,0.49998916061870396,0.5000054267967868,0.5000054313899606,0.49998920203910413,0.5000076697686657,0.4999999551249613,0.4999931172347953,0.5000103875064575,0.4999895547298831,0.5000083772263824,0.4999943919606533,0.5000031058255225,0.49999865240520464,0.5000004971876522,0.49999941431790335,0.5000016073571864,0.49999649021816844,0.5000060805478613,0.49999123824628183,0.5000104983698661,0.49999014795101393,0.500005683286653,0.5000015403524194,0.4999914245846167,0.5000101980341506,0.499996560346367,0.4999929625813575,0.500010013022723,0.49999980189797594,0.4999898619524361,0.5000042503608737,0.5000092644118371,0.499995317274545,0.4999902082537448,0.5000016546516203,0.500010339003413,0.5000049668788601,0.4999940192287684,0.49998963891297094,0.4999943913843321,0.5000028150214008,0.5000088901646511,0.5000102405680684,0.5000077812542986,0.5000036233338994,0.4999995083688471,0.49999631234112124,0.4999942189185158,0.49999307547109484,0.4999926774260686,0.49999292481013086,0.4999938743832779,0.49999570796398163,0.49999860519925976,0.500002494394017,0.5000067082882674,0.5000097370719451,0.5000095071534986,0.5000046498512929,0.49999654787300685,0.4999903692811693,0.49999220487147145,0.5000020726174347,0.5000099021950307,0.5000047790703358,0.499992396436034,0.49999249180855454,0.5000063362336747,0.500007476796122,0.49999240437199155,0.49999530952090787,0.5000098257491407,0.49999784928924423,0.4999923931335551,0.5000095187152928,0.49999645551664323,0.4999956135159253,0.5000092137520918,0.4999904461566821,0.5000067083969691,0.4999973200802047,0.499998937029472,0.5000038618912304,0.49999436559080684,0.5000065435700753,0.4999932417153944,0.5000063318477775,0.4999948258179309,0.5000031066470347,0.49999998323165057,0.49999612920092346,0.5000076713144577,0.4999902833176783,0.5000080849013893,0.4999978894360388,0.49999427546847447,0.5000097051568347,0.49999493118252814,0.4999948367437436,0.500009494616621,0.4999991298002431,0.4999907371614343,0.5000036737936054,0.5000088334055747,0.4999967924327028,0.4999905517460441,0.4999993977945675,0.5000088443325444,0.5000069840488806,0.4999976868114663,0.49999103406446815,0.4999917788701172,0.49999773182903956,0.5000043094697415,0.5000084405612563,0.5000094879284217,0.5000083270494836,0.5000061958442455,0.5000040519158775,0.5000024316356715,0.5000015592128453,0.5000014992696623,0.5000022523331435,0.5000037617471448,0.5000058310770948,0.5000079786775954,0.5000093169630834,0.500008644904927,0.500005002871799,0.4999987503847537,0.49999256757135285,0.4999908908406252,0.4999964707315789,0.500005720368866,0.5000090678735432,0.5000010992379674,0.4999913628458004,0.4999951802654239,0.5000074976716428,0.5000053960776252,0.4999920136814281,0.49999686280223954,0.5000092004834219,0.49999744326036566,0.499993118635574,0.5000087585524366,0.49999718652097536,0.4999952020629549,0.5000088895298851,0.4999917053416481,0.500004668114243,0.4999997627709703,0.4999964819129383,0.500006076299895,0.4999924601522754,0.5000082407203034,0.49999151907836903,0.5000084110498823,0.4999920076222316,0.5000070069618491,0.4999948749222725,0.5000020775340839,0.5000020256151609,0.4999937044880135,0.5000088930160184,0.499992354308963,0.5000018252133683,0.500005743952872,0.4999910745825727,0.5000034021871002,0.5000062522653466,0.4999919451180011,0.4999980695897958,0.500008908155952,0.5000001305783924,0.49999109610711173,0.49999855135372107,0.5000082934705365,0.5000054758232931,0.49999555425309405,0.4999911460120591,0.49999572483876165,0.5000036171069793,0.5000084106668675,0.5000080047729999,0.500004025952493,0.49999912838889593,0.49999514523411137,0.499992690210593,0.4999915575152521,0.49999123853407546,0.49999125598826843,0.49999130313027423,0.4999912754740594,0.4999912714284796,0.49999158984382147,0.49999269833889026,0.49999509836537215,0.49999900128497776,0.5000038248634774,0.5000077961915359,0.5000083196945388,0.5000037528586568,0.499996042238249,0.49999137855334735,0.4999954149085407,0.5000050663144797,0.5000081621607989,0.49999895947856937,0.49999138958325623],"x":[100.0,136.9049049049049,173.80980980980982,210.71471471471472,247.6196196196196,284.5245245245245,321.42942942942943,358.33433433433436,395.2392392392392,432.14414414414415,469.0490490490491,505.95395395395394,542.8588588588589,579.7637637637638,616.6686686686687,653.5735735735735,690.4784784784785,727.3833833833834,764.2882882882883,801.1931931931932,838.0980980980981,875.003003003003,911.9079079079079,948.8128128128128,985.7177177177177,1022.6226226226227,1059.5275275275276,1096.4324324324325,1133.3373373373374,1170.2422422422424,1207.147147147147,1244.052052052052,1280.956956956957,1317.8618618618618,1354.7667667667668,1391.6716716716717,1428.5765765765766,1465.4814814814815,1502.3863863863864,1539.2912912912914,1576.1961961961963,1613.101101101101,1650.006006006006,1686.9109109109108,1723.8158158158158,1760.7207207207207,1797.6256256256256,1834.5305305305305,1871.4354354354355,1908.3403403403404,1945.2452452452453,1982.1501501501502,2019.0550550550552,2055.95995995996,2092.864864864865,2129.76976976977,2166.674674674675,2203.57957957958,2240.4844844844847,2277.389389389389,2314.294294294294,2351.199199199199,2388.104104104104,2425.009009009009,2461.913913913914,2498.8188188188187,2535.7237237237237,2572.6286286286286,2609.5335335335335,2646.4384384384384,2683.3433433433433,2720.2482482482483,2757.153153153153,2794.058058058058,2830.962962962963,2867.867867867868,2904.772772772773,2941.677677677678,2978.5825825825827,3015.4874874874877,3052.3923923923926,3089.2972972972975,3126.202202202202,3163.107107107107,3200.012012012012,3236.9169169169168,3273.8218218218217,3310.7267267267266,3347.6316316316315,3384.5365365365365,3421.4414414414414,3458.3463463463463,3495.2512512512512,3532.156156156156,3569.061061061061,3605.965965965966,3642.870870870871,3679.775775775776,3716.680680680681,3753.5855855855857,3790.4904904904906,3827.3953953953956,3864.3003003003005,3901.2052052052054,3938.1101101101103,3975.015015015015,4011.9199199199197,4048.8248248248246,4085.7297297297296,4122.6346346346345,4159.53953953954,4196.444444444444,4233.34934934935,4270.254254254254,4307.15915915916,4344.064064064064,4380.968968968969,4417.873873873874,4454.778778778778,4491.683683683684,4528.588588588588,4565.493493493494,4602.398398398398,4639.303303303303,4676.208208208208,4713.113113113113,4750.018018018018,4786.922922922923,4823.827827827828,4860.732732732733,4897.637637637637,4934.542542542543,4971.447447447447,5008.352352352353,5045.257257257257,5082.1621621621625,5119.067067067067,5155.971971971972,5192.876876876877,5229.781781781782,5266.686686686687,5303.591591591591,5340.496496496497,5377.401401401401,5414.306306306306,5451.211211211211,5488.116116116116,5525.021021021021,5561.925925925926,5598.830830830831,5635.735735735736,5672.64064064064,5709.545545545546,5746.45045045045,5783.355355355356,5820.26026026026,5857.1651651651655,5894.07007007007,5930.974974974975,5967.87987987988,6004.784784784785,6041.68968968969,6078.594594594595,6115.4994994994995,6152.404404404404,6189.309309309309,6226.214214214214,6263.119119119119,6300.024024024024,6336.928928928929,6373.8338338338335,6410.738738738739,6447.643643643643,6484.548548548549,6521.453453453453,6558.358358358359,6595.263263263263,6632.168168168168,6669.073073073073,6705.977977977978,6742.882882882883,6779.787787787788,6816.692692692693,6853.597597597598,6890.5025025025025,6927.407407407408,6964.312312312312,7001.217217217217,7038.122122122122,7075.027027027027,7111.931931931932,7148.8368368368365,7185.741741741742,7222.646646646646,7259.551551551552,7296.456456456456,7333.361361361362,7370.266266266266,7407.171171171171,7444.076076076076,7480.980980980981,7517.885885885886,7554.790790790791,7591.695695695696,7628.600600600601,7665.505505505505,7702.410410410411,7739.315315315315,7776.220220220221,7813.125125125125,7850.03003003003,7886.934934934935,7923.839839839839,7960.744744744745,7997.649649649649,8034.554554554555,8071.459459459459,8108.3643643643645,8145.269269269269,8182.174174174174,8219.07907907908,8255.983983983984,8292.888888888889,8329.793793793793,8366.6986986987,8403.603603603604,8440.508508508508,8477.413413413413,8514.31831831832,8551.223223223224,8588.128128128128,8625.033033033033,8661.937937937939,8698.842842842843,8735.747747747748,8772.652652652652,8809.557557557557,8846.462462462463,8883.367367367367,8920.272272272272,8957.177177177176,8994.082082082083,9030.986986986987,9067.891891891892,9104.796796796796,9141.701701701702,9178.606606606607,9215.511511511511,9252.416416416416,9289.321321321322,9326.226226226227,9363.131131131131,9400.036036036036,9436.940940940942,9473.845845845846,9510.75075075075,9547.655655655655,9584.56056056056,9621.465465465466,9658.37037037037,9695.275275275275,9732.18018018018,9769.085085085086,9805.98998998999,9842.894894894895,9879.799799799799,9916.704704704705,9953.60960960961,9990.514514514514,10027.419419419419,10064.324324324325,10101.22922922923,10138.134134134134,10175.039039039038,10211.943943943945,10248.84884884885,10285.753753753754,10322.658658658658,10359.563563563564,10396.468468468469,10433.373373373373,10470.278278278278,10507.183183183182,10544.088088088089,10580.992992992993,10617.897897897898,10654.802802802802,10691.707707707708,10728.612612612613,10765.517517517517,10802.422422422422,10839.327327327328,10876.232232232232,10913.137137137137,10950.042042042041,10986.946946946948,11023.851851851852,11060.756756756757,11097.661661661661,11134.566566566567,11171.471471471472,11208.376376376376,11245.28128128128,11282.186186186185,11319.091091091092,11355.995995995996,11392.9009009009,11429.805805805805,11466.710710710711,11503.615615615616,11540.52052052052,11577.425425425425,11614.330330330331,11651.235235235235,11688.14014014014,11725.045045045044,11761.94994994995,11798.854854854855,11835.75975975976,11872.664664664664,11909.56956956957,11946.474474474475,11983.37937937938,12020.284284284284,12057.18918918919,12094.094094094095,12130.998998998999,12167.903903903903,12204.808808808808,12241.713713713714,12278.618618618619,12315.523523523523,12352.428428428428,12389.333333333334,12426.238238238238,12463.143143143143,12500.048048048047,12536.952952952954,12573.857857857858,12610.762762762763,12647.667667667667,12684.572572572573,12721.477477477478,12758.382382382382,12795.287287287287,12832.192192192193,12869.097097097098,12906.002002002002,12942.906906906906,12979.811811811811,13016.716716716717,13053.621621621622,13090.526526526526,13127.43143143143,13164.336336336337,13201.241241241241,13238.146146146146,13275.05105105105,13311.955955955957,13348.860860860861,13385.765765765766,13422.67067067067,13459.575575575576,13496.48048048048,13533.385385385385,13570.29029029029,13607.195195195196,13644.1001001001,13681.005005005005,13717.90990990991,13754.814814814816,13791.71971971972,13828.624624624625,13865.52952952953,13902.434434434434,13939.33933933934,13976.244244244244,14013.149149149149,14050.054054054053,14086.95895895896,14123.863863863864,14160.768768768768,14197.673673673673,14234.57857857858,14271.483483483484,14308.388388388388,14345.293293293293,14382.198198198199,14419.103103103103,14456.008008008008,14492.912912912912,14529.817817817819,14566.722722722723,14603.627627627628,14640.532532532532,14677.437437437437,14714.342342342343,14751.247247247247,14788.152152152152,14825.057057057056,14861.961961961963,14898.866866866867,14935.771771771771,14972.676676676676,15009.581581581582,15046.486486486487,15083.391391391391,15120.296296296296,15157.201201201202,15194.106106106106,15231.01101101101,15267.915915915915,15304.820820820822,15341.725725725726,15378.63063063063,15415.535535535535,15452.440440440441,15489.345345345346,15526.25025025025,15563.155155155155,15600.06006006006,15636.964964964965,15673.86986986987,15710.774774774774,15747.679679679679,15784.584584584585,15821.48948948949,15858.394394394394,15895.299299299299,15932.204204204205,15969.10910910911,16006.014014014014,16042.918918918918,16079.823823823825,16116.728728728729,16153.633633633634,16190.538538538538,16227.443443443444,16264.348348348349,16301.253253253253,16338.158158158158,16375.063063063064,16411.96796796797,16448.87287287287,16485.777777777777,16522.682682682684,16559.587587587586,16596.492492492493,16633.3973973974,16670.3023023023,16707.207207207208,16744.11211211211,16781.017017017017,16817.921921921923,16854.826826826826,16891.731731731732,16928.63663663664,16965.54154154154,17002.446446446447,17039.35135135135,17076.256256256256,17113.161161161162,17150.066066066065,17186.97097097097,17223.875875875878,17260.78078078078,17297.685685685687,17334.59059059059,17371.495495495496,17408.400400400402,17445.305305305305,17482.21021021021,17519.115115115113,17556.02002002002,17592.924924924926,17629.82982982983,17666.734734734735,17703.63963963964,17740.544544544544,17777.44944944945,17814.354354354353,17851.25925925926,17888.164164164165,17925.069069069068,17961.973973973974,17998.87887887888,18035.783783783783,18072.68868868869,18109.593593593592,18146.4984984985,18183.403403403405,18220.308308308307,18257.213213213214,18294.118118118116,18331.023023023023,18367.92792792793,18404.83283283283,18441.737737737738,18478.642642642644,18515.547547547547,18552.452452452453,18589.357357357356,18626.262262262262,18663.16716716717,18700.07207207207,18736.976976976977,18773.881881881884,18810.786786786786,18847.691691691693,18884.596596596595,18921.5015015015,18958.406406406408,18995.31131131131,19032.216216216217,19069.12112112112,19106.026026026026,19142.930930930932,19179.835835835835,19216.74074074074,19253.645645645647,19290.55055055055,19327.455455455456,19364.36036036036,19401.265265265265,19438.17017017017,19475.075075075074,19511.97997997998,19548.884884884887,19585.78978978979,19622.694694694695,19659.599599599598,19696.504504504504,19733.40940940941,19770.314314314313,19807.21921921922,19844.124124124122,19881.02902902903,19917.933933933935,19954.838838838838,19991.743743743744,20028.64864864865,20065.553553553553,20102.45845845846,20139.36336336336,20176.268268268268,20213.173173173174,20250.078078078077,20286.982982982983,20323.88788788789,20360.792792792792,20397.6976976977,20434.6026026026,20471.507507507507,20508.412412412414,20545.317317317316,20582.222222222223,20619.12712712713,20656.03203203203,20692.936936936938,20729.84184184184,20766.746746746747,20803.651651651653,20840.556556556556,20877.461461461462,20914.366366366365,20951.27127127127,20988.176176176177,21025.08108108108,21061.985985985986,21098.890890890892,21135.795795795795,21172.7007007007,21209.605605605604,21246.51051051051,21283.415415415417,21320.32032032032,21357.225225225226,21394.130130130132,21431.035035035035,21467.93993993994,21504.844844844843,21541.74974974975,21578.654654654656,21615.55955955956,21652.464464464465,21689.369369369368,21726.274274274274,21763.17917917918,21800.084084084083,21836.98898898899,21873.893893893895,21910.798798798798,21947.703703703704,21984.608608608607,22021.513513513513,22058.41841841842,22095.323323323322,22132.22822822823,22169.133133133135,22206.038038038037,22242.942942942944,22279.847847847846,22316.752752752753,22353.65765765766,22390.56256256256,22427.467467467468,22464.37237237237,22501.277277277277,22538.182182182183,22575.087087087086,22611.991991991992,22648.8968968969,22685.8018018018,22722.706706706707,22759.61161161161,22796.516516516516,22833.421421421423,22870.326326326325,22907.23123123123,22944.136136136138,22981.04104104104,23017.945945945947,23054.85085085085,23091.755755755756,23128.660660660662,23165.565565565565,23202.47047047047,23239.375375375377,23276.28028028028,23313.185185185186,23350.09009009009,23386.994994994995,23423.8998998999,23460.804804804804,23497.70970970971,23534.614614614613,23571.51951951952,23608.424424424426,23645.329329329328,23682.234234234234,23719.13913913914,23756.044044044043,23792.94894894895,23829.853853853852,23866.75875875876,23903.663663663665,23940.568568568568,23977.473473473474,24014.37837837838,24051.283283283283,24088.18818818819,24125.09309309309,24161.997997997998,24198.902902902904,24235.807807807807,24272.712712712713,24309.617617617616,24346.522522522522,24383.42742742743,24420.33233233233,24457.237237237237,24494.142142142144,24531.047047047046,24567.951951951953,24604.856856856855,24641.76176176176,24678.666666666668,24715.57157157157,24752.476476476477,24789.381381381383,24826.286286286286,24863.191191191192,24900.096096096095,24937.001001001,24973.905905905907,25010.81081081081,25047.715715715716,25084.62062062062,25121.525525525525,25158.43043043043,25195.335335335334,25232.24024024024,25269.145145145147,25306.05005005005,25342.954954954956,25379.85985985986,25416.764764764765,25453.66966966967,25490.574574574573,25527.47947947948,25564.384384384386,25601.28928928929,25638.194194194195,25675.099099099098,25712.004004004004,25748.90890890891,25785.813813813813,25822.71871871872,25859.623623623622,25896.528528528528,25933.433433433434,25970.338338338337,26007.243243243243,26044.14814814815,26081.053053053052,26117.95795795796,26154.86286286286,26191.767767767768,26228.672672672674,26265.577577577576,26302.482482482483,26339.38738738739,26376.29229229229,26413.197197197198,26450.1021021021,26487.007007007007,26523.911911911913,26560.816816816816,26597.721721721722,26634.62662662663,26671.53153153153,26708.436436436437,26745.34134134134,26782.246246246246,26819.151151151153,26856.056056056055,26892.96096096096,26929.865865865864,26966.77077077077,27003.675675675677,27040.58058058058,27077.485485485486,27114.390390390392,27151.295295295295,27188.2002002002,27225.105105105104,27262.01001001001,27298.914914914916,27335.81981981982,27372.724724724725,27409.62962962963,27446.534534534534,27483.43943943944,27520.344344344343,27557.24924924925,27594.154154154156,27631.05905905906,27667.963963963964,27704.868868868867,27741.773773773773,27778.67867867868,27815.583583583582,27852.48848848849,27889.393393393395,27926.298298298298,27963.203203203204,28000.108108108107,28037.013013013013,28073.91791791792,28110.82282282282,28147.727727727728,28184.632632632634,28221.537537537537,28258.442442442443,28295.347347347346,28332.252252252252,28369.15715715716,28406.06206206206,28442.966966966967,28479.87187187187,28516.776776776776,28553.681681681683,28590.586586586585,28627.49149149149,28664.396396396398,28701.3013013013,28738.206206206207,28775.11111111111,28812.016016016016,28848.920920920922,28885.825825825825,28922.73073073073,28959.635635635637,28996.54054054054,29033.445445445446,29070.35035035035,29107.255255255255,29144.16016016016,29181.065065065064,29217.96996996997,29254.874874874873,29291.77977977978,29328.684684684686,29365.58958958959,29402.494494494495,29439.3993993994,29476.304304304304,29513.20920920921,29550.114114114112,29587.01901901902,29623.923923923925,29660.828828828828,29697.733733733734,29734.63863863864,29771.543543543543,29808.44844844845,29845.353353353352,29882.258258258258,29919.163163163164,29956.068068068067,29992.972972972973,30029.87787787788,30066.782782782782,30103.68768768769,30140.59259259259,30177.497497497498,30214.402402402404,30251.307307307306,30288.212212212213,30325.117117117115,30362.02202202202,30398.926926926928,30435.83183183183,30472.736736736737,30509.641641641643,30546.546546546546,30583.451451451452,30620.356356356355,30657.26126126126,30694.166166166167,30731.07107107107,30767.975975975976,30804.880880880883,30841.785785785785,30878.69069069069,30915.595595595594,30952.5005005005,30989.405405405407,31026.31031031031,31063.215215215216,31100.12012012012,31137.025025025025,31173.92992992993,31210.834834834834,31247.73973973974,31284.644644644646,31321.54954954955,31358.454454454455,31395.359359359358,31432.264264264264,31469.16916916917,31506.074074074073,31542.97897897898,31579.883883883886,31616.78878878879,31653.693693693695,31690.598598598597,31727.503503503503,31764.40840840841,31801.313313313312,31838.21821821822,31875.12312312312,31912.028028028028,31948.932932932934,31985.837837837837,32022.742742742743,32059.64764764765,32096.55255255255,32133.457457457458,32170.36236236236,32207.267267267267,32244.172172172173,32281.077077077076,32317.981981981982,32354.88688688689,32391.79179179179,32428.696696696697,32465.6016016016,32502.506506506506,32539.411411411413,32576.316316316315,32613.22122122122,32650.126126126128,32687.03103103103,32723.935935935937,32760.84084084084,32797.74574574574,32834.65065065065,32871.555555555555,32908.46046046046,32945.36536536537,32982.27027027027,33019.17517517517,33056.08008008008,33092.984984984985,33129.88988988989,33166.7947947948,33203.6996996997,33240.6046046046,33277.50950950951,33314.414414414416,33351.31931931932,33388.22422422422,33425.12912912913,33462.03403403403,33498.93893893894,33535.843843843846,33572.748748748745,33609.65365365365,33646.55855855856,33683.463463463464,33720.36836836837,33757.27327327328,33794.178178178176,33831.08308308308,33867.98798798799,33904.892892892894,33941.7977977978,33978.7027027027,34015.607607607606,34052.51251251251,34089.41741741742,34126.322322322325,34163.227227227224,34200.13213213213,34237.03703703704,34273.94194194194,34310.84684684685,34347.751751751755,34384.656656656654,34421.56156156156,34458.46646646647,34495.37137137137,34532.27627627628,34569.18118118118,34606.086086086085,34642.99099099099,34679.8958958959,34716.800800800804,34753.7057057057,34790.61061061061,34827.515515515515,34864.42042042042,34901.32532532533,34938.23023023023,34975.13513513513,35012.04004004004,35048.944944944946,35085.84984984985,35122.75475475476,35159.65965965966,35196.56456456456,35233.46946946947,35270.374374374376,35307.27927927928,35344.18418418418,35381.08908908909,35417.993993993994,35454.8988988989,35491.80380380381,35528.708708708706,35565.61361361361,35602.51851851852,35639.423423423425,35676.32832832833,35713.23323323323,35750.138138138136,35787.04304304304,35823.94794794795,35860.852852852855,35897.75775775776,35934.66266266266,35971.56756756757,36008.47247247247,36045.37737737738,36082.282282282285,36119.187187187184,36156.09209209209,36192.996996997,36229.9019019019,36266.80680680681,36303.71171171171,36340.616616616615,36377.52152152152,36414.42642642643,36451.331331331334,36488.23623623623,36525.14114114114,36562.046046046045,36598.95095095095,36635.85585585586,36672.760760760764,36709.66566566566,36746.57057057057,36783.475475475476,36820.38038038038,36857.28528528529,36894.19019019019,36931.095095095094,36968.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..e9f54240e325 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/runner.jl @@ -0,0 +1,139 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + fresnel( x ) + +Evaluate the Fresnel integrals `S(x)` and `C(x)` in extended precision. + +Below `x = 10`, sum the power series; from there on, use the asymptotic expansions of the auxiliary functions `f` and `g` (Abramowitz and Stegun 7.3.27 and 7.3.28), whose terms shrink far below the working precision before they start to grow. + +# Arguments + +* `x`: input value + +# Examples + +``` julia +julia> S, C = fresnel( BigFloat( 1.0 ) ); +``` +""" +function fresnel( x ) + if x < 10 + a = BigFloat( pi ) / 2 * x^2; + S = zero( BigFloat ); + C = zero( BigFloat ); + t = one( BigFloat ); + k = 0; + while k < 10 || abs( t ) > eps( BigFloat ) + if iseven( k ) + C += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + else + S += ( iseven( k ÷ 2 ) ? 1 : -1 ) * t / ( 2*k + 1 ); + end + k += 1; + t *= a / k; + end + return x * S, x * C; + end + w = BigFloat( pi ) * x^2; + f = one( BigFloat ); + g = one( BigFloat ); + tf = one( BigFloat ); + tg = one( BigFloat ); + for m in 1:60 + tf *= -( 4*m - 3 ) * ( 4*m - 1 ) / w^2; + tg *= -( 4*m - 1 ) * ( 4*m + 1 ) / w^2; + f += tf; + g += tg; + end + f /= BigFloat( pi ) * x; + g /= BigFloat( pi )^2 * x^3; + s, c = sincos( BigFloat( pi ) / 2 * x^2 ); + return 0.5 - ( f * c ) - ( g * s ), 0.5 + ( f * s ) - ( g * c ); +end + +""" + gen( domain, name ) + +Generate fixture data and write to file. + +# Arguments + +* `domain`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( 100.0, stop = 1000.0, length = 1000 ); +julia> gen( x, "data.json" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + S = Float64[]; + C = Float64[]; + setprecision( BigFloat, 2048 ) do + for xi in x + s, c = fresnel( BigFloat( xi ) ); + push!( S, Float64( s ) ); + push!( C, Float64( c ) ); + end + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("S", S), + ("C", C) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Small values: +x = range( 0.0001, stop = 9.99, length = 1000 ); +gen( x, "small.json" ); + +# Medium values: +x = range( 100.0, stop = 36968.0, length = 1000 ); +gen( x, "medium.json" ); + +# Large values: +x = range( 40000.0, stop = 60000.0, length = 1000 ); +gen( x, "large.json" ); + +# Huge values: +x = exp10.( range( log10( 60000.0 ), stop = 15.0, length = 1000 ) ); +gen( x, "huge.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/small.json b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/small.json new file mode 100644 index 000000000000..49481597bdeb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/fixtures/julia/small.json @@ -0,0 +1 @@ +{"C":[0.0001,0.010099899873968551,0.020099798990334188,0.030099693603621535,0.0400995740172867,0.05009942162300795,0.060099205940030605,0.07009888165463206,0.08009838565981399,0.09009763409537991,0.10009651938861779,0.11009490729587908,0.12009263394542745,0.13008950288202245,0.14008528211380586,0.15007970116217054,0.16007244811541507,0.17006316668711868,0.1800514532803157,0.19003685405869966,0.20001886202625185,0.20999691411686047,0.21997038829567941,0.2299386006741693,0.23990080264096283,0.24985617801091045,0.2598038401948818,0.2697428293931277,0.27967210981524837,0.2895905669300587,0.2994970047488992,0.3093901431462044,0.3192686152214136,0.3291309647065865,0.33897564342437536,0.34880100880129683,0.3586053214415453,0.36838674276689776,0.3781433327285667,0.3878730475971741,0.39757373783733674,0.40724314607367484,0.4168789051553793,0.42647853632679583,0.436039447511812,0.44555893172015437,0.4550341655840266,0.46446220803384086,0.47383999912210595,0.4831643590048504,0.4924319870902578,0.5016394613644907,0.5107832379049596,0.5198596505915735,0.5288649110267628,0.5377951086753154,0.5466462112352948,0.5554140652515168,0.5640943969832557,0.5726828135380104,0.58117480428331,0.5895657425486451,0.5978508876297003,0.6060253871071116,0.6140842794919931,0.6220224972104516,0.6298348699392542,0.6375161283047067,0.6450609079566502,0.6524637540292932,0.6597191260003441,0.6668214029596057,0.6737648892978403,0.6805438208262921,0.6871523713367724,0.6935846596116703,0.6998347568926327,0.7058966948159775,0.7117644738221385,0.717432072045611,0.7228934546909485,0.7281425838993666,0.7331734291094315,0.7379799779141435,0.7425562474154751,0.746896296076079,0.7509942360664489,0.7548442461042908,0.7584405847812407,0.7617776043703559,0.7648497651059967,0.767651649925812,0.7701779796625534,0.7724236286713436,0.7743836408758547,0.7760532462145712,0.777427877465963,0.7785031874289409,0.7792750664324495,0.7797396601454438,0.7798933876558212,0.7797329597841378,0.7792553975951292,0.7784580510671979,0.777338617877118,0.7758951622542635,0.7741261338556839,0.7720303866103555,0.7696071974779266,0.7668562850642697,0.7637778280331574,0.7603724832504194,0.75664140359401,0.7525862553605499,0.7482092351961142,0.7435130864763302,0.7385011150582558,0.7331772043240308,0.727545829433974,0.7216120707046284,0.7153816260252884,0.7088608222247638,0.7020566252986032,0.6949766494057082,0.6876291645422477,0.6800231028000827,0.6721680631164999,0.6640743144220218,0.6557527970933701,0.6472151226193926,0.6384735713888844,0.6295410885108291,0.6204312775796207,0.6111583923003627,0.6017373258923925,0.5921835981927421,0.5825133403853902,0.5727432772868428,0.5628907071238799,0.5529734787451815,0.5430099662150637,0.533019040744675,0.5230200399237869,0.5130327342247143,0.5030772907589628,0.493174234276912,0.48334440541118223,0.47360891617533146,0.4639891027411282,0.4545064755298872,0.445182666666157,0.43603937485545163,0.4270983077616394,0.4183811219740432,0.4099093606692231,0.401704389087737,0.39378732796190635,0.38617898504664055,0.3788997849216892,0.37196969725018536,0.365408163694982,0.3592340237109546,0.35346543944809705,0.34811982001675895,0.34321374538267835,0.3387628901754636,0.3347819477097407,0.33128455453323136,0.3282832158304173,0.3257892320240823,0.32381262692976603,0.32236207782990095,0.3214448478449912,0.32106672098851524,0.3212319403001476,0.32194314945827157,0.32320133827745656,0.32500579249947614,0.32735404828740156,0.3302418518312054,0.3336631244700183,0.33760993373057824,0.34207247067339047,0.34703903392755514,0.35249602078203995,0.35842792568526566,0.36481734648617686,0.37164499872839957,0.37888973828461653,0.3865285925908474,0.3945368007099239,0.4028878624200548,0.4115535964880269,0.42050420824731255,0.42970836655918837,0.43913329019003483,0.44874484359032923,0.4585076420106474,0.46838516583735257,0.47833988397579696,0.48833338605195414,0.4983265231447075,0.5082795567007712,0.5181523152227203,0.5279043582581565,0.5374951471549864,0.5468842219844935,0.5560313839707601,0.5648968827024176,0.5734416073411606,0.5816272809813718,0.5894166572570877,0.5967737182368539,0.6036638725943139,0.6100541529931701,0.6159134115799594,0.6212125124374773,0.6259245198161745,0.630024880930998,0.6334916020874805,0.6363054168839207,0.6384499452267511,0.6399118418941547,0.6406809333891058,0.6407503418377288,0.6401165947125652,0.6387797191933697,0.636743320020727,0.6340146397503312,0.6306046003783929,0.6265278253814565,0.6218026412969809,0.6164510580643249,0.610498727449191,0.6039748789879371,0.5969122330111624,0.5893468904382687,0.581318199175812,0.572868597101823,0.5640434317752445,0.554890757173405,0.5454611079302024,0.5358072517224071,0.5259839206301308,0.5160475224789443,0.5060558333540173,0.4960676726597415,0.4861425622800718,0.4763403715738537,0.46672095011406595,0.45734375024861224,0.4482674417213307,0.43954952074358655,0.4312459160474123,0.4234105945789119,0.416095169603861,0.409348514094352,0.4032163823443248,0.397741042821239,0.39296092529949234,0.38891028533698424,0.3856188891481787,0.3831117218939125,0.3814087223490134,0.38052454682265785,0.38046836509263454,0.38124369097284816,0.3828482499632383,0.38527388623283476,0.38850651096018307,0.3925260938014065,0.3973066989755461,0.40281656715067876,0.40901824398406933,0.41586875581701566,0.4233198326521288,0.4313181781499289,0.4398057859754559,0.4487203014070828,0.45799542669207816,0.46756136820024335,0.4773453229918576,0.48727200198321474,0.49726418646642145,0.5072433143241596,0.5171300918793331,0.5268451269384661,0.5363095782310779,0.5454458161196285,0.5541780891606743,0.5624331908420745,0.5701411206078668,0.5772357331159311,0.5836553695577422,0.5893434648079976,0.5942491241679212,0.59832766352245,0.6015411068506313,0.6038586352122298,0.6052569815829663,0.6057207662266086,0.6052427676742141,0.6038241248283739,0.6014744662218224,0.598211963032889,0.5940633030919045,0.5890635837989026,0.5832561226090592,0.5766921845227707,0.569430626835789,0.5615374622543584,0.5530853423530713,0.5441529642407354,0.5348244041929224,0.5251883828994408,0.5153374678507775,0.5053672192391542,0.4953752865666908,0.4854604639244249,0.475721712620881,0.46625716048677635,0.45716308775292847,0.44853290988139316,0.44045616811580474,0.4330175387969995,0.4262958726562086,0.42036327534339885,0.4152842403667209,0.41111484540584314,0.4079020226138113,0.40568291303717047,0.4044843146621236,0.4043222328369271,0.4052015409306893,0.407115758071238,0.4100469496665817,0.41396575516438217,0.4188315461523062,0.4245927164614566,0.4311871044193542,0.4385425458238612,0.4465775545922462,0.45520212639888225,0.46431865897068386,0.4738229810821127,0.48360548070304815,0.49355232122508835,0.5035467332473361,0.5134703680637136,0.5232046977823496,0.5326324459448546,0.5416390316196693,0.5501140092381135,0.5579524859415309,0.5650564979283684,0.5713363272440801,0.5767117406548143,0.5811131326953273,0.5844825556868176,0.5867746204822761,0.5879572529128542,0.5880122923722927,0.5869359206774629,0.5847389112674921,0.5814466909339243,0.5770992085882238,0.5717506080453698,0.5654687044045451,0.5583342663080203,0.5504401091224382,0.5418900068754219,0.5327974335553791,0.5232841471025208,0.5134786320424563,0.503514419197784,0.49352830321565255,0.48365848072885975,0.4740426337848966,0.46481598469374313,0.4561093496265731,0.4480472191127241,0.44074589400459235,0.43431170548771453,0.4288393472898475,0.4244103473781175,0.42109170512348215,0.41893471815997635,0.4179740209827296,0.41822685473117965,0.41969258461725656,0.4223524781149407,0.4261697533670169,0.4310899033334471,0.43704129705634015,0.4439360551076539,0.45167119188125576,0.4601300129588897,0.4691837513913232,0.4786934224652403,0.48851187244814265,0.4984859929924638,0.5084590694096968,0.5182732279663537,0.5277719447727558,0.5368025767942491,0.5452188740671355,0.5528834313949769,0.5596700376724569,0.5654658815608276,0.5701735735371766,0.5737129463631999,0.5760225987592684,0.5770611505045568,0.5768081812788846,0.5752648302684799,0.572454038814936,0.5684204241205868,0.5632297781491581,0.5569681922820103,0.5497408149025056,0.5416702557711017,0.5328946577028861,0.5235654625445154,0.5138449046441198,0.5039032707913267,0.49391597085344446,0.48406046793163093,0.4745131206987498,0.46544599355989913,0.45702369231105133,0.4494002839892167,0.44271635955423644,0.4370962968812322,0.43264577925758996,0.42944962117395935,0.42756994870202936,0.4270447762121762,0.42788701467333234,0.4300839393894421,0.4335971368765918,0.43836294180689606,0.44429336569185024,0.45127750941691686,0.45918344205106854,0.4678605187298252,0.47714210104402766,0.48684863445731297,0.496791029019447,0.5067742822306924,0.5166012765244407,0.5260766786371738,0.5350108642736168,0.5432237890755414,0.550548726063702,0.55683579051345,0.5619551756831447,0.5658000269440773,0.5682888876291087,0.5693676572561198,0.5690110115868241,0.5672232441110172,0.5640384998265036,0.5595203844097364,0.5537609448073477,0.5468790306657021,0.5390180595763359,0.5303432225576157,0.5210381792169325,0.5113013043415663,0.5013415589532612,0.4913740688470502,0.4816155020534172,0.4722793432749209,0.463571167946823,0.4556840209874493,0.44879400541352,0.443056183722543,0.43860089026516336,0.43553054577663297,0.4339170558963733,0.4337998640226527,0.43518471542587456,0.43804317443199314,0.44231291998918154,0.4478988273918016,0.4546748257387323,0.4624865022602239,0.4711544063911104,0.4804779888415415,0.4902400943628497,0.5002119118584871,0.5101582723594033,0.5198431745482337,0.5290354093124527,0.5375141495150562,0.545074369011766,0.551531956065302,0.5567283907820679,0.5605348640153843,0.5628557262482445,0.5636311691082835,0.5628390591150364,0.5604958626709222,0.5566566227643506,0.5514139708708516,0.5448961815744086,0.5372643018998129,0.5287084116303397,0.5194430943498104,0.5097022209606629,0.499733167373168,0.4897906053524895,0.4801300196172943,0.4710011147402759,0.4626412818229727,0.45526929701535934,0.449079421541896,0.4442360659122997,0.4408691694907729,0.4390704307497826,0.43889050364560045,0.4403372520450436,0.44337512754152,0.44792570696138373,0.4538693951049262,0.4610482665877144,0.46926998889670996,0.4783127378307091,0.4879309872411531,0.49786202829349874,0.5078330501532782,0.5175685948177253,0.5267981844234266,0.5352639103072756,0.5427277697914846,0.5489785393608383,0.5538379816943622,0.5571661988232876,0.5588659642545492,0.5588858927900529,0.5572223373830592,0.5539199369431179,0.5490707766281656,0.5428121618259083,0.5353230476130734,0.5268192058145369,0.5175472506593096,0.5077776802472175,0.4977971234416154,0.4879000093111303,0.4783798978933582,0.46952072602964884,0.46158822968466967,0.4548218040834093,0.4494270549619531,0.4455692782658542,0.44336808201610817,0.44289333331854597,0.4441625763767517,0.44714002486270277,0.451737185283594,0.4578151184067723,0.46518829484791113,0.47362995016003334,0.48287879579406195,0.4926468967382298,0.502628486026661,0.5125094520674806,0.521977208146593,0.5307306355745159,0.5384897835699048,0.5450050106387435,0.5500652641247533,0.5535052166569694,0.5552110099506031,0.5551243970403146,0.5532451224361521,0.5496314344953567,0.5443986838472384,0.5377160241350646,0.5298012946382727,0.5209142264113531,0.5113481723028594,0.5014206145303848,0.49146274943938656,0.4818084859135318,0.47278322014027574,0.46469276389646463,0.4578128054049012,0.45237927073527495,0.4485799297308628,0.4465475540359467,0.44635488692552383,0.4480116266752261,0.45146355892624623,0.45659390101268355,0.4632268449226652,0.4711332080595369,0.480038024972874,0.48962984148264604,0.4995714077916684,0.5095114117672879,0.5190968498008729,0.5279856023934706,0.5358587663012994,0.5424322956358447,0.5474675211270326,0.5507801496166521,0.5522473939496383,0.5518129453852555,0.5494895745194276,0.5453592300575653,0.5395705947471503,0.5323341511865548,0.523914903668649,0.5146229921957712,0.5048025178505586,0.4948189715243344,0.4850457175868106,0.4758500278434124,0.46757918701747153,0.46054719758904,0.45502259839723885,0.45121787799726404,0.44928091115827784,0.44928877666230277,0.45124422901319056,0.455074998745885,0.46063598926166954,0.4677143264705312,0.47603710526327514,0.4852815683701865,0.4950873528661137,0.5050703516242935,0.514837665194817,0.5240030671375683,0.532202375333674,0.5391081149800818,0.5444428766761887,0.5479908151065574,0.5496067991828262,0.5492228110263879,0.5468512958258379,0.5425852835402662,0.5365952321019009,0.5291226751373342,0.5204708898851582,0.5109929274348994,0.5010774622556095,0.49113301617167454,0.48157118899097445,0.472789580178154,0.4651551105237578,0.45898844801252126,0.4545502075626387,0.45202953076656494,0.4515355612434307,0.45309221695032326,0.4566365271335142,0.46202065381773616,0.4690175618647037,0.47733014422069264,0.4866034567933629,0.4964395771745613,0.5064144795352729,0.5160962202006496,0.5250636594980556,0.5329249091425395,0.5393346930213968,0.5440098436154995,0.5467422257359327,0.5474084814661356,0.5459761213658798,0.5425056419029431,0.5371485213206726,0.5301411283698445,0.5217947625385785,0.5124822223188003,0.5026214614425776,0.4926570341507605,0.48304014248586846,0.4742081755608666,0.4665646684376296,0.46046060404849276,0.45617793477769963,0.4539161121110272,0.45378228634156076,0.4557856787293195,0.45983644247162286,0.4657491244774328,0.47325062644450444,0.4819923509644391,0.49156601638966974,0.5015224427878442,0.5113924595462992,0.5207089709451215,0.5290291455636602,0.5359556730476868,0.5411560596592772,0.5443790119036954,0.545467082697113,0.5443649219652831,0.5411226760259628,0.5358943085004916,0.5289308592250102,0.5205689050811912,0.5112147257662512,0.5013248963171449,0.49138421545370736,0.4818820245623104,0.47328806828155373,0.4660290883300334,0.4604673242226077,0.45688201751133845,0.4554548827766098,0.4562603243072008,0.45926095047564286,0.46430867882783594,0.47115144633811157,0.4794452549038698,0.48877100636429266,0.4986553284247626,0.5085943763149229,0.5180794267119083,0.5266229701165646,0.5337839624001235,0.5391909193538283,0.5425616299990348,0.5437184217840058,0.5425981267304416,0.5392561619830177,0.533864438153371,0.5267031292498978,0.5181466623229021,0.5086445961118429,0.4986983391406504,0.4888348932608196,0.47957898506131447,0.47142505418014546,0.4648105972056384,0.4600923153745649,0.45752638475134627,0.45725396441362254,0.459292790911805,0.4635353891677314,0.4697540773703269,0.47761257492261766,0.48668365800446095,0.49647196698448737,0.5064407730147287,0.5160412749781557,0.5247428368592533,0.5320625000425059,0.5375921209457185,0.5410215927095636,0.542156806169286,0.5409312807461338,0.5374107362677389,0.5317902641193418,0.524384169529202,0.5156089732354823,0.5059604566108643,0.4959859865236457,0.486253643762214,0.4773198839595533,0.4696975691933317,0.4638262136106943,0.46004618518482526,0.45857840182960247,0.45951076341593133,0.462792187221228,0.4682346833440527,0.4755234427664474,0.48423444065222815,0.49385860869330395,0.5038312297707348,0.5135648805316329,0.52248401355973,0.5300591463746243,0.5358386190788004,0.5394759987121557,0.54075144165623,0.5395856639954623,0.5360455952224792,0.530341279042227,0.5228141079213843,0.5139170043633113,0.5041876596963046,0.494216379522586,0.4846104359346263,0.47595706697076257,0.4687873766646119,0.4635433650539836,0.4605501555297957,0.4599951943317934,0.4619157895214216,0.4661958575671337,0.4725721841766474,0.48064991615097236,0.4899264192720191,0.49982210029628477,0.5097163336964361,0.5189862862676898,0.5270462191742652,0.5333847835271884,0.5375979190139606,0.5394152124214572,0.5387179611665646,0.5355476939134595,0.5301044956422202,0.522735131431684,0.5139116209082473,0.5042015414089202,0.49423189118808697,0.4846487871147235,0.4760755733189319,0.46907205579812605,0.46409754098308215,0.4614801428844991,0.46139444449310485,0.46384907655953506,0.46868514267335454,0.47558571371295927,0.48409588287038735,0.49365216287248814,0.5036193675399698,0.5133325945582364,0.5221415526263958,0.5294542819143813,0.5347773183623775,0.5377495532532987,0.5381674296804672,0.5359996739417651,0.5313904476367375,0.5246505807520022,0.5162373558641112,0.5067241038594207,0.4967615875831965,0.48703374090511625,0.4782107537501092,0.4709027163819774,0.46561703959089434,0.4627226472605825,0.46242350542950955,0.4647434338402343,0.4695233820800402,0.4764314937972713,0.48498538787924134,0.49458521737391714,0.5045552871876028,0.5141913770313558,0.5228104743750545,0.5297994081683706,0.5346589071021011,0.5370398882113295,0.5367692968313386,0.5338635343853024,0.528528378190151,0.5211452574342003,0.5122447338501116,0.5024689734005314,0.4925258175108515,0.48313770708379494,0.4749891295223669,0.46867641377033564,0.4646635750257737,0.46324751352398796,0.4645352251433544,0.4684348290059906,0.4746612182878857,0.4827560667267432,0.49212085340019157,0.502060582078886,0.5118350439840327,0.5207138688102558,0.5280312776002593,0.5332364220920167,0.5359354758811584,0.5359222172491839,0.5331946733205448,0.5279564217016497,0.5206022941808263,0.5116894119335186,0.501895613041743,0.4919683234228311,0.482667693038952,0.4747083074847113,0.46870394827488654,0.4651196952493803,0.46423514959945417,0.46612174040470933,0.4706360196327328,0.47742962870155065,0.4859753266685513,0.4956072059712324,0.5055720861289271,0.5150881604207587,0.5234063511576653,0.5298695596769365,0.5339651048104271,0.5353661260797603,0.5339585531366102,0.5298513509227403,0.5233690568633089,0.515027030797537,0.5054912292155542,0.4955255806247729,0.4859310744487333,0.477481394307406,0.47086026442854806,0.4666056015857516,0.46506507371363914,0.46636679339392456,0.47040768473023814,0.47686064787797083,0.4852001189626626,0.4947441079300528,0.5047094180147771,0.5142756240489208,0.5226526100773782,0.5291461098204376,0.5332157929396909,0.5345209949915823,0.532950160516585,0.5286313824544608,0.52192297247338,0.5133846594309187,0.5037316489300031,0.49377524740164835,0.4843549323813794,0.4762675321259116,0.4701994896987226,0.46666799502275663,0.4659760813699807,0.468185651039263,0.4731109082893645,0.4803329577718709,0.4892345178520351,0.4990519547139222,0.508940316580698,0.5180458732773926,0.5255799521420417,0.530887676342763,0.5335055805247445,0.533202978034086,0.5300033135628294,0.5241834431355595,0.5162506954911571,0.506899520119531,0.49695134609474795,0.487282799622719,0.4787485173320708,0.47210534329931164,0.4679446531462169,0.4666389028701105,0.4683073015432742,0.47280385416264914,0.47972905476622435,0.48846440214791054,0.4982268485969405,0.5081384627512047,0.517305159860287,0.5248974620870567,0.5302259871504094,0.5328047594282691,0.5323964678102374,0.5290353749127628,0.5230255766939043,0.5149145435917324,0.505444142669309,0.4954834366069365,0.4859492836836927,0.4777219576805471,0.4715635490064572,0.46804673789189793,0.4675006520810456,0.4699790060516111,0.4752536981206119,0.48283469717664773,0.4920145970833486,0.5019338828854553,0.5116609603743149,0.5202795425206627,0.5269752087462944,0.5311129400134814,0.53229819715167,0.530415590861862,0.5256412592212959,0.5184275337777499,0.509461108664597,0.499598478699157,0.48978463582619414,0.48096268957828897,0.47398303651420265,0.46952084233923447,0.46800989279311295,0.46959937130270435,0.47413796656192797,0.4811871016233141,0.49006225577634255],"S":[5.23598775598299e-13,5.394483015343038e-7,4.251809569145113e-6,1.4278580937201356e-5,3.376125116421957e-5,6.584128553793334e-5,0.00011366009625850555,0.00018035899417310214,0.0002690791172117979,0.00038296133087543775,0.0005251460961271809,0.0006987733000411867,0.0009069820445644473,0.0011529103887513914,0.0014396950398358073,0.0017704709885111721,0.0021483710837989383,0.0025765255428950467,0.0030580613913983377,0.0035961018293409423,0.004193765518460631,0.004854165786178995,0.005580409741777536,0.006375597300297038,0.007242820109724209,0.008185160377074395,0.00920568958903054,0.010307467122857163,0.011493538743374776,0.012766934981855207,0.014130669392782754,0.015587736684520319,0.017141110720024968,0.01879374238387364,0.0205485573119886,0.022408453480594014,0.024376298651090388,0.02645492766770409,0.0286471396049545,0.030955694762183426,0.03338331150261032,0.03593266293461367,0.03860637343319496,0.04140701499985658,0.04433710345942093,0.04739909449263514,0.050595379503744514,0.05392828132258014,0.05740004974109113,0.061012856884662146,0.06476879241899113,0.06866985859376319,0.07271796512484278,0.07691492391722,0.08126244363148784,0.08576212409719529,0.09041545057701854,0.0952237878863172,0.10018837437329572,0.10531031576567379,0.11059057889047934,0.11602998527431789,0.12162920463224035,0.12738874825412666,0.13330896229832706,0.1393900210031525,0.14563191982768262,0.15203446853426147,0.158597284225976,0.16531978435336186,0.1722011797055498,0.1792404674020546,0.18643642390241597,0.1937875980519215,0.201292304182678,0.208948615290341,0.21675435630786716,0.2247070974987097,0.23280414799293567,0.24104254949080023,0.24941907015936157,0.2579301987487575,0.2665721389557895,0.2753408040634612,0.2842318118860971,0.29324048005061437,0.3023618216454305,0.311590541269361,0.3209210315136776,0.3303473699112687,0.33986331638754047,0.34946231124833915,0.35913747374072696,0.36888160122292396,0.37868716898010835,0.38854633072305184,0.3984509198067429,0.4083924512062074,0.4183621242866735,0.4283508264050249,0.43834913737914594,0.4483473348612679,0.45833540065077377,0.4683030279810917,0.47823962981431445,0.4881343481759841,0.49797606456111304,0.507753411440911,0.5174547848979076,0.5270683584151281,0.5365820978427525,0.5459837775632015,0.5552609978728841,0.5644012035958829,0.5733917039416353,0.5822196936152189,0.5908722751851079,0.599336482709309,0.6075993066165173,0.6156477198344498,0.6234687051527298,0.6310492838026847,0.63837654523113,0.6454376780396868,0.6522200020554082,0.6587110014924747,0.6648983591584945,0.6707699916524863,0.6763140854949882,0.6815191341238909,0.6863739756826122,0.6908678315200737,0.6949903453146817,0.698731622727146,0.7020822714795264,0.7050334417504224,0.7075768667687105,0.7097049034807745,0.7114105731587402,0.7126876018099118,0.7135304602404147,0.7139344036190423,0.7138955103805177,0.7134107203008676,0.712477871571414,0.7110957366920635,0.7092640569991829,0.7069835756384258,0.7042560687884981,0.7010843749380569,0.6974724220148002,0.6934252521633758,0.6889490439670758,0.6840511319074514,0.6787400228560431,0.6730254093934144,0.6669181797526935,0.6604304241878848,0.6535754375714,0.6463677180306006,0.6388229614397132,0.6309580515912996,0.6227910458806002,0.6143411563465391,0.6056287259250296,0.5966751997834736,0.5875030916200208,0.5781359448272786,0.5685982884377172,0.5589155877870398,0.5491141898522223,0.5392212632428139,0.5292647328473462,0.5192732091613178,0.5092759123491689,0.49930259111982045,0.48938343652373556,0.4795489908089054,0.46983005150363644,0.4602575709253676,0.45086255134689057,0.44167593608412203,0.4327284968028551,0.42405071737554306,0.4156726746529433,0.4076239165492298,0.3999333378727291,0.3926290543675751,0.3857382754640612,0.379287176267092,0.3733007693426283,0.3678027768911616,0.3628155039247592,0.3583597130898405,0.3544545018013082,0.3511171823746728,0.3483631658611249,0.3462058503058178,0.34465651416167375,0.3437242155995258,0.3434156984600968,0.343735305593932,0.3446849003316911,0.34626379681893144,0.3484686999364537,0.3512936555092278,0.3547300114836834,0.3587663907245814,0.36338867604863595,0.36858000807242924,0.3743207964068774,0.38058874467953097,0.38735888980931454,0.394603655895966,0.4022929230185296,0.41039411116386587,0.41887227942749367,0.42769024054533916,0.4368086907264641,0.4461863546638413,0.4557801455031722,0.46554533944898396,0.47543576458333076,0.4854040033658446,0.4954016081752667,0.5053793291425794,0.5152873534151202,0.5250755548803768,0.5346937532682912,0.5440919814427145,0.5532207595869839,0.5620313748863752,0.5704761652123693,0.5785088052211762,0.5860845931928247,0.5931607368582886,0.5996966363916357,0.6056541626829803,0.6109979289571371,0.6156955537632257,0.61971791333302,0.6230393812914297,0.62563805370201,0.6274959574445672,0.6285992399514708,0.6289383383748177,0.628508126318638,0.6273080363492993,0.6253421565934719,0.6226192998466173,0.6191530437460258,0.6149617407108154,0.6100684965168061,0.6045011165563297,0.5982920190312965,0.5914781145414144,0.5841006517574453,0.5762050291106605,0.5678405726829167,0.5590602807455795,0.5499205356681746,0.5404807841973619,0.5308031873915704,0.5209522417842826,0.5109943736371843,0.5009975084307425,0.49103061802171316,0.48116324817187295,0.4714650294172095,0.4620051744989874,0.45285196581472126,0.444072236565183,0.4357308494702551,0.42789017709889127,0.4206095880038216,0.41394494296727885,0.4079481057473276,0.4026664727629807,0.39814252616794266,0.39441341473558394,0.3915105669098824,0.38945934026718937,0.3882787114806803,0.38798101068252555,0.38857170387784323,0.39004922677946247,0.3924048731039567,0.39562273999832476,0.3996797328545584,0.4045456313181345,0.41018321780867273,0.4165484693496091,0.42359081295222767,0.4312534442217692,0.4394737082540864,0.4481835412753521,0.45730997085007885,0.46677567184992,0.4764995747436126,0.48639752214341364,0.49638296893227357,0.5063677207057463,0.5162627047003328,0.5259787668528295,0.5354274881504545,0.5445220129961895,0.5531778819348113,0.561313860769216,0.5688527578501554,0.5757222211513673,0.5818555066515876,0.5871922095398884,0.5916789498451945,0.5952700042679109,0.5979278762637099,0.5996237967980415,0.6003381486551914,0.6000608077469688,0.5987913955214537,0.5965394373185812,0.5933244223523775,0.5891757619138246,0.5841326433768563,0.5782437786448312,0.5715670467868132,0.5641690317717464,0.5561244574027088,0.5475155227704364,0.538431142771889,0.528966099461676,0.5192201112069053,0.5092968277841996,0.4993027606756887,0.4893461588729693,0.4795358414686523,0.4699799991887844,0.4607849777811282,0.452054056809775,0.4438862379024225,0.4363750568406908,0.4296074340651394,0.4236625781758773,0.4186109568393128,0.41451334915606125,0.4114199930009384,0.40936984011217864,0.40838993078491287,0.408494898917397,0.4096866168740657,0.4119539881764328,0.4152728944231165,0.41960630108845637,0.424904524972562,0.4311056640939356,0.43813618875118165,0.4459116903570358,0.4543377824922959,0.463311146467096,0.4727207115416673,0.4824489578785227,0.49237332830387165,0.5023677330790922,0.5123041301542215,0.5220541618248877,0.5314908273709156,0.5404901701464456,0.548932956743028,0.5567063252814493,0.56370537962453,0.5698347063578035,0.5750097917698899,0.5791583167871679,0.5822213088810768,0.5841541313690759,0.5849272922648718,0.584527056887535,0.5829558507947776,0.5802324422397513,0.5763918962347689,0.5714852954057883,0.5655792260999423,0.5587550316219868,0.5511078379774839,0.5427453610405324,0.5337865075888809,0.5243597861041112,0.5146015465628676,0.5046540715898902,0.4946635442484839,0.4847779203539495,0.47514473545779107,0.4659088785158485,0.4572103656768835,0.4491821485699103,0.4419479918951208,0.4356204550081973,0.43029901151243005,0.4260683396272872,0.4229968142848162,0.42113522952500976,0.4205157768363279,0.42115130164624986,0.4230348562472581,0.4261395630940535,0.4304187976854434,0.4358066952154292,0.4422189799167944,0.4495541106083389,0.45769473048118375,0.46650940371244093,0.4758546161713694,0.48557701238115875,0.49551583611591066,0.5055055376428299,0.5153785067561935,0.5249678874790977,0.5341104277109899,0.5426493152441763,0.5504369505210189,0.557337606303153,0.5632299251089469,0.5680092068648135,0.5715894417131127,0.5739050463108453,0.574912266208375,0.5745902119680032,0.5729415025029728,0.569992495606276,0.5657930926974091,0.5604161123311691,0.5539562348596401,0.5465285286793635,0.5382665765837515,0.5293202287229104,0.5198530163920262,0.5100392681671536,0.5000609766275428,0.49010446989575884,0.4803569473484371,0.4710029429711798,0.46222078283509604,0.4541791049621773,0.4470335103449618,0.4409234130388068,0.4359691550237891,0.43226944793584554,0.42989919881945443,0.4289077708117263,0.4293177222138877,0.43112405885266086,0.43429402511993137,0.4387674487686125,0.44445764362292733,0.4512528630394382,0.45901828545438017,0.46759850190867963,0.4768204642975657,0.48649684249271496,0.49642972867464286,0.5064146184269667,0.5162445906040439,0.5257146018925332,0.5346258075245934,0.5427898169157465,0.5500327922103205,0.5561992989007817,0.5611558208822424,0.5647938575047863,0.5670325273436745,0.5678206124251228,0.5671379873818418,0.5649963902826441,0.5614395054573884,0.5565423432575798,0.5504099170559469,0.5431752335693122,0.5349966284407259,0.5260544945777199,0.5165474656460263,0.5066881309967599,0.4966983708054017,0.48680441098812344,0.47723170622892785,0.4681997659303318,0.45991704186654986,0.45257599759891326,0.4463484781944508,0.4413814944193256,0.4377935283753603,0.4356714575955809,0.4350681820689218,0.4360010237489163,0.4384509511063349,0.442362662562466,0.4476455425941412,0.4541754833865757,0.46179754361587366,0.47032939478619257,0.47956548505807317,0.4892818312166739,0.4992413318619414,0.5091994795515852,0.5189103369470787,0.5281326324051298,0.536635824259206,0.5442059805087185,0.5506513219521174,0.5558072820454765,0.5595409459216574,0.5617547439456125,0.5623892916842194,0.5614252879082375,0.5588844047972042,0.554829129374149,0.5493615417663973,0.5426210435165008,0.534781077148319,0.5260449057894865,0.5166405481106984,0.5068149884183641,0.49682780371049384,0.4869443682040246,0.4774288106605298,0.4685369102586467,0.4605091223723325,0.4535639261206168,0.44789168079579317,0.4436491682334104,0.4409549829869827,0.4398859120900704,0.44047442165200007,0.44270733910460747,0.44652578828839246,0.45182640054339507,0.4584637894533683,0.4662542408537293,0.47498053417279684,0.4843977771686622,0.4942401046759553,0.5042280640712381,0.5140764867138236,0.5235026264299952,0.5322343338629334,0.5400180297341888,0.5466262411060904,0.5518644727569668,0.5555772007380019,0.557652796818316,0.558027220380852,0.5566863477412427,0.5536668469713973,0.5490555480959739,0.5429873028261726,0.5356413735212073,0.5272364364657671,0.5180243284260226,0.5082827064054528,0.4983068272206623,0.48840068470333553,0.47886776688809174,0.4700017125214171,0.46207715488749956,0.4553410407961882,0.4500047033836688,0.4462369491854928,0.44415839309027105,0.4438372398939377,0.44528666914924087,0.4484639320004191,0.45327121609456494,0.45955827904539753,0.46712679401423846,0.47573629458309596,0.48511155207958123,0.49495116870402317,0.5049371259527539,0.5147449915304843,0.5240544605980576,0.5325598899522399,0.5399804774203887,0.5460697438718227,0.5506239919264302,0.5534894434198497,0.5545677963133957,0.5538199899844841,0.5512680243101711,0.5469947409505872,0.5411415427647983,0.5339040971489887,0.5255261389311389,0.5162915558748616,0.5065150024393582,0.4965313429126604,0.48668427126436586,0.4773144901980747,0.46874785440626415,0.46128389182700164,0.4551851111130926,0.4506674833831978,0.4478924519792117,0.44696077627135744,0.44790845590278966,0.4507049120902106,0.45525352495602806,0.4613945429705352,0.4689102953046283,0.4775325532783247,0.48695180624347084,0.4968281432155287,0.5068033672589772,0.51651391764569,0.5256041373739249,0.5337394025066452,0.5406186261513342,0.5459856643272362,0.5496391833550968,0.5514405979843618,0.5513197547971583,0.5492781144135079,0.5453892760067496,0.5397967854669746,0.5327092706806508,0.5243930500205229,0.5151624593312041,0.5053682345468816,0.49538436785965767,0.4855939216696797,0.4763743334619885,0.46808277394134074,0.4610421285970966,0.4555281585440864,0.45175836002373465,0.44988298426211804,0.4499786022458439,0.452044504993951,0.45600212241993937,0.4616975268699562,0.4689069653591593,0.4773452422008595,0.48667665606436167,0.49652808738257515,0.5065037380766877,0.5162009499347557,0.5252264741968699,0.5332125356805363,0.5398320319048381,0.5448122318775506,0.5479463901287952,0.5491027677201314,0.5482306507491832,0.5453630747110684,0.5406160954783334,0.5341845893987374,0.5263347103311627,0.5173932742871977,0.5077344766086942,0.4977644663845754,0.48790440265291557,0.47857269211839765,0.47016715484915456,0.46304788003710057,0.457521517024925,0.4538276974074482,0.4521282035056415,0.45249938968286973,0.45492822993078813,0.4593122131716263,0.46546314304866976,0.47311472857310416,0.4819336832611398,0.49153389084433924,0.5014930525655716,0.5113711112309028,0.5207296564535578,0.5291514586216555,0.5362592593644,0.5417329654051691,0.5453244506799884,0.5468692667047411,0.5462946898964284,0.5436236917697809,0.5389745970818993,0.5325563883518266,0.524659814157037,0.5156446541472214,0.5059236766919737,0.49594398672334195,0.48616659365241965,0.47704512540913835,0.46900466937951646,0.46242173081595295,0.4576062627276696,0.4547866390318322,0.4540983177569466,0.45557677834065635,0.4591551234813837,0.46466652016091436,0.47185142620606024,0.480369318794479,0.4898144206707041,0.4997347193812157,0.5096534047066352,0.51909171858199,0.527592127372615,0.5347406935362908,0.5401875451678367,0.5436644178007249,0.5449983705593473,0.544120953115633,0.5410723132650306,0.5359999775341192,0.5291522976054919,0.5208668208693429,0.5115541008971755,0.5016776999800203,0.4917313387321328,0.4822143061795526,0.473606348771389,0.46634330191218004,0.4607947093567983,0.4572445937342153,0.4558763984351695,0.45676292317630507,0.45986183177875445,0.465017032696727,0.47196593427546885,0.48035227267393216,0.4897439165634636,0.49965478465403407,0.5095697843640046,0.5189715053218069,0.5273672901537492,0.5343152643490804,0.5394479405087614,0.5424921197296904,0.5432839900597483,0.5417785608674451,0.5380528610978472,0.5323026542648579,0.524832766929134,0.5160414721865857,0.5063996967323802,0.4964261112893365,0.4866594030480208,0.47762920118410424,0.46982722173143726,0.46368020931796666,0.4595261781991679,0.4575952960377284,0.4579965180594053,0.4607107780639406,0.465591191680378,0.47237034475515877,0.4806743465529236,0.49004294530876513,0.49995465424506147,0.5098555397538334,0.5191900978126546,0.527432504010963,0.5341164764776497,0.5388620440199692,0.5413976628574221,0.5415763677812008,0.539384965320489,0.5349456606527115,0.5285099356820615,0.5204449391887112,0.5112130859180185,0.5013459645037075,0.49141400012097686,0.4819935854561801,0.4736335657795741,0.46682302865754344,0.461962300236373,0.4593388887199661,0.4591098489753013,0.4612916838658156,0.46575846741690907,0.47224839647023575,0.4803784786919732,0.4896665750974913,0.4995595641741766,0.5094660100825336,0.5187914237495818,0.5269740224296607,0.5335188337180468,0.5380280600568517,0.5402258176954441,0.5399756802341187,0.5372898742140416,0.5323294690609041,0.5253954471029966,0.5169110988019956,0.5073967294980903,0.49743815301383926,0.4876508530269034,0.4786419883809502,0.470972582941294,0.46512226145443003,0.46145876611672715,0.4602142193793947,0.46146970119363206,0.4651492061212344,0.47102346736210843,0.4787235160829558,0.4877632240915537,0.4975694954374273,0.5075182658955647,0.516974072406099,0.5253306949569011,0.5320502703929868,0.536698340784039,0.5389725272801476,0.5387229020849346,0.535962644285216,0.5308681787658402,0.5237686730546354,0.5151254615548218,0.5055026349475379,0.49553063008755727,0.485865141721283,0.4771440176160945,0.46994496795694285,0.4647469037491157,0.46189751514373906,0.46158931925967606,0.463845870508498,0.46851916782818215,0.4752985546928196,0.4837306376540755,0.49324899898442653,0.5032117999410227,0.5129448106772334,0.5217870012149404,0.5291356154443033,0.5344876447939212,0.537474824116272,0.5378896791120428,0.5357007378565318,0.5310557415762789,0.5242725042257586,0.5158179217575184,0.506276461701907,0.4963102135311972,0.4866131964401979,0.4778630580781048,0.4706735215389038,0.46555092901419726,0.4628579854231044,0.46278733719491283,0.4653469594158318,0.47035851235656684,0.4774689211504716,0.4861744931685175,0.4958559830667171,0.5058222110401511,0.5153591950875981,0.5237813223287988,0.5304808927594392,0.5349724394327574,0.5369285613968331,0.5362045802127239,0.5328501098990257,0.5271065603645252,0.5193906103389602,0.510264714438534,0.5003966748768902,0.49051113916437455,0.4813365171992388,0.4735511941918706,0.4677330171336932,0.46431583961730644,0.4635564320320348,0.46551433228491124,0.4700462766655379,0.47681577800405567,0.48531728719833694,0.49491326879336134,0.5048815255660225,0.514469298306481,0.5229501097942453,0.5296790630419621,0.5341423680636969,0.5359972593241581,0.535099153443717,0.5315138359929525,0.525513589318882,0.517557396812337,0.5082565899912841,0.49832844801008436,0.48854122446853787,0.47965478557189234,0.47236143715658613,0.46723155977021735,0.4646683516870978,0.46487531844505947,0.46783919048461897,0.4733297682537197,0.4809168763570211,0.49000325707413056,0.4998709555394648,0.5097376469562557,0.5188185211963687,0.5263888431832348,0.5318421939902793,0.5347396830974579,0.5348460904015907,0.5321498998702999,0.526865449678659,0.5194168483332188,0.510404779763274,0.5005587236486859,0.49067833485504714,0.4815686552705164,0.4739743917771978,0.46851863351010026,0.4656510815814756,0.46561014257470396,0.46840214601229535,0.47379956989234157,0.4813586066901017,0.4904548009863696,0.5003339716244626,0.5101743240497454,0.5191546749974131,0.5265231396470621,0.5316605254816478,0.5341330538502741,0.533729865688908,0.530481998817855,0.5246610528474883,0.5167574590474528,0.5074400046438668,0.49749987675511187,0.4877838506669402,0.47912222988357694,0.47225766101618283,0.4677809432593774,0.46607942192444524,0.4673025355827304,0.471347657224335,0.477867648813271,0.4862996805765994,0.4959130115870619,0.505871748711481,0.5153072464192818,0.5233939041131733,0.529421747207396,0.5328593842187107,0.533401705620975,0.5309979717938798,0.5258576216478618,0.518433077376198,0.5093808555640119,0.4995042407439575,0.4896824593302094,0.48079255509098356,0.4736308921279728,0.46884132416670815,0.4668565500768447,0.4678580618458371,0.4717584740766429,0.4782080420649453,0.48662500281399407,0.496247204578112,0.5062005233833576,0.5155779822202616,0.5235224410360778,0.5293053176310619,0.5323940784895637,0.5325021894145542,0.5296167612633926,0.5240011324340403,0.5161719182952198,0.5068524204269693,0.4969065067380179,0.4872589383038299,0.47880945054812446,0.4723485623649218,0.46848301428744654,0.46757792134664594,0.46972123321994885,0.4747140541298802,0.48208797219456195,0.4911480045981667,0.5010373202701831,0.5108177897189883,0.5195588385685815,0.5264262055851632,0.5307621219245873,0.5321491560484346,0.5304514506466614,0.5258291827592597,0.5187246125419198,0.5098208113736336,0.4999768152751509,0.4901452762404427,0.4812804509635912,0.47424539305462565,0.46972738986477375],"x":[0.0001,0.0100998998998999,0.0200997997997998,0.030099699699699698,0.0400995995995996,0.050099499499499496,0.0600993993993994,0.0700992992992993,0.0800991991991992,0.0900990990990991,0.100098998998999,0.1100988988988989,0.1200987987987988,0.1300986986986987,0.1400985985985986,0.1500984984984985,0.1600983983983984,0.1700982982982983,0.1800981981981982,0.1900980980980981,0.200097997997998,0.2100978978978979,0.22009779779779778,0.2300976976976977,0.2400975975975976,0.2500974974974975,0.2600973973973974,0.2700972972972973,0.2800971971971972,0.2900970970970971,0.300096996996997,0.3100968968968969,0.3200967967967968,0.3300966966966967,0.3400965965965966,0.3500964964964965,0.3600963963963964,0.3700962962962963,0.3800961961961962,0.3900960960960961,0.400095995995996,0.4100958958958959,0.4200957957957958,0.4300956956956957,0.4400955955955956,0.4500954954954955,0.4600953953953954,0.4700952952952953,0.48009519519519517,0.4900950950950951,0.500094994994995,0.5100948948948949,0.5200947947947948,0.5300946946946947,0.5400945945945946,0.5500944944944945,0.5600943943943943,0.5700942942942943,0.5800941941941942,0.5900940940940941,0.600093993993994,0.6100938938938939,0.6200937937937938,0.6300936936936937,0.6400935935935936,0.6500934934934935,0.6600933933933933,0.6700932932932933,0.6800931931931932,0.6900930930930931,0.700092992992993,0.7100928928928929,0.7200927927927928,0.7300926926926927,0.7400925925925926,0.7500924924924925,0.7600923923923923,0.7700922922922923,0.7800921921921922,0.7900920920920921,0.800091991991992,0.8100918918918919,0.8200917917917918,0.8300916916916917,0.8400915915915916,0.8500914914914915,0.8600913913913913,0.8700912912912913,0.8800911911911912,0.8900910910910911,0.900090990990991,0.9100908908908909,0.9200907907907908,0.9300906906906907,0.9400905905905906,0.9500904904904904,0.9600903903903903,0.9700902902902903,0.9800901901901902,0.9900900900900901,1.00008998998999,1.0100898898898898,1.0200897897897898,1.0300896896896896,1.0400895895895896,1.0500894894894894,1.0600893893893895,1.0700892892892893,1.0800891891891893,1.090089089089089,1.1000889889889889,1.110088888888889,1.1200887887887887,1.1300886886886887,1.1400885885885885,1.1500884884884885,1.1600883883883883,1.1700882882882884,1.1800881881881882,1.1900880880880882,1.200087987987988,1.2100878878878878,1.2200877877877878,1.2300876876876876,1.2400875875875876,1.2500874874874874,1.2600873873873875,1.2700872872872873,1.2800871871871873,1.290087087087087,1.3000869869869869,1.310086886886887,1.3200867867867867,1.3300866866866867,1.3400865865865865,1.3500864864864865,1.3600863863863863,1.3700862862862864,1.3800861861861862,1.3900860860860862,1.400085985985986,1.4100858858858858,1.4200857857857858,1.4300856856856856,1.4400855855855856,1.4500854854854854,1.4600853853853855,1.4700852852852853,1.4800851851851853,1.490085085085085,1.5000849849849849,1.510084884884885,1.5200847847847847,1.5300846846846847,1.5400845845845845,1.5500844844844845,1.5600843843843843,1.5700842842842844,1.5800841841841842,1.5900840840840842,1.600083983983984,1.6100838838838838,1.6200837837837838,1.6300836836836836,1.6400835835835836,1.6500834834834834,1.6600833833833835,1.6700832832832833,1.6800831831831833,1.690083083083083,1.7000829829829829,1.710082882882883,1.7200827827827827,1.7300826826826827,1.7400825825825825,1.7500824824824825,1.7600823823823823,1.7700822822822824,1.7800821821821822,1.790082082082082,1.800081981981982,1.8100818818818818,1.8200817817817818,1.8300816816816816,1.8400815815815816,1.8500814814814814,1.8600813813813815,1.8700812812812813,1.8800811811811813,1.890081081081081,1.9000809809809809,1.910080880880881,1.9200807807807807,1.9300806806806807,1.9400805805805805,1.9500804804804805,1.9600803803803803,1.9700802802802804,1.9800801801801802,1.99008008008008,2.0000799799799798,2.01007987987988,2.02007977977978,2.03007967967968,2.0400795795795794,2.0500794794794794,2.0600793793793795,2.0700792792792795,2.080079179179179,2.090079079079079,2.100078978978979,2.1100788788788787,2.1200787787787787,2.1300786786786787,2.1400785785785787,2.1500784784784783,2.1600783783783783,2.1700782782782784,2.1800781781781784,2.190078078078078,2.200077977977978,2.210077877877878,2.2200777777777776,2.2300776776776776,2.2400775775775776,2.2500774774774777,2.2600773773773772,2.2700772772772773,2.2800771771771773,2.290077077077077,2.300076976976977,2.310076876876877,2.320076776776777,2.3300766766766765,2.3400765765765765,2.3500764764764766,2.3600763763763766,2.370076276276276,2.380076176176176,2.390076076076076,2.4000759759759758,2.410075875875876,2.420075775775776,2.430075675675676,2.4400755755755754,2.4500754754754754,2.4600753753753755,2.4700752752752755,2.480075175175175,2.490075075075075,2.500074974974975,2.5100748748748747,2.5200747747747747,2.5300746746746747,2.5400745745745748,2.5500744744744743,2.5600743743743744,2.5700742742742744,2.5800741741741744,2.590074074074074,2.600073973973974,2.610073873873874,2.6200737737737736,2.6300736736736736,2.6400735735735736,2.6500734734734737,2.6600733733733732,2.6700732732732733,2.6800731731731733,2.690073073073073,2.700072972972973,2.710072872872873,2.720072772772773,2.7300726726726725,2.7400725725725725,2.7500724724724726,2.7600723723723726,2.770072272272272,2.780072172172172,2.790072072072072,2.8000719719719718,2.810071871871872,2.820071771771772,2.830071671671672,2.8400715715715714,2.8500714714714714,2.8600713713713715,2.8700712712712715,2.880071171171171,2.890071071071071,2.900070970970971,2.9100708708708707,2.9200707707707707,2.9300706706706707,2.9400705705705708,2.9500704704704703,2.9600703703703704,2.9700702702702704,2.98007017017017,2.99007007007007,3.00006996996997,3.01006986986987,3.0200697697697696,3.0300696696696696,3.0400695695695696,3.0500694694694697,3.0600693693693692,3.0700692692692693,3.0800691691691693,3.090069069069069,3.100068968968969,3.110068868868869,3.120068768768769,3.1300686686686685,3.1400685685685685,3.1500684684684686,3.1600683683683686,3.170068268268268,3.180068168168168,3.190068068068068,3.2000679679679678,3.210067867867868,3.220067767767768,3.230067667667668,3.2400675675675674,3.2500674674674674,3.2600673673673675,3.2700672672672675,3.280067167167167,3.290067067067067,3.300066966966967,3.3100668668668667,3.3200667667667667,3.3300666666666667,3.3400665665665668,3.3500664664664663,3.3600663663663664,3.3700662662662664,3.380066166166166,3.390066066066066,3.400065965965966,3.410065865865866,3.4200657657657656,3.4300656656656656,3.4400655655655656,3.4500654654654657,3.4600653653653652,3.4700652652652653,3.4800651651651653,3.490065065065065,3.500064964964965,3.510064864864865,3.520064764764765,3.5300646646646645,3.5400645645645645,3.5500644644644646,3.5600643643643646,3.570064264264264,3.580064164164164,3.590064064064064,3.6000639639639638,3.610063863863864,3.620063763763764,3.630063663663664,3.6400635635635634,3.6500634634634634,3.6600633633633635,3.670063263263263,3.680063163163163,3.690063063063063,3.700062962962963,3.7100628628628627,3.7200627627627627,3.7300626626626627,3.7400625625625628,3.7500624624624623,3.7600623623623624,3.7700622622622624,3.780062162162162,3.790062062062062,3.800061961961962,3.810061861861862,3.8200617617617616,3.8300616616616616,3.8400615615615616,3.8500614614614617,3.8600613613613612,3.8700612612612613,3.8800611611611613,3.890061061061061,3.900060960960961,3.910060860860861,3.920060760760761,3.9300606606606605,3.9400605605605605,3.9500604604604606,3.9600603603603606,3.97006026026026,3.98006016016016,3.99006006006006,4.00005995995996,4.01005985985986,4.02005975975976,4.03005965965966,4.04005955955956,4.05005945945946,4.060059359359359,4.070059259259259,4.080059159159159,4.090059059059059,4.100058958958959,4.110058858858859,4.120058758758759,4.130058658658658,4.140058558558558,4.150058458458458,4.160058358358358,4.170058258258258,4.180058158158158,4.190058058058058,4.2000579579579576,4.210057857857858,4.220057757757758,4.230057657657658,4.240057557557558,4.250057457457458,4.260057357357358,4.270057257257257,4.280057157157157,4.290057057057057,4.300056956956957,4.310056856856857,4.320056756756757,4.330056656656657,4.340056556556557,4.350056456456456,4.360056356356356,4.370056256256256,4.380056156156156,4.390056056056056,4.400055955955956,4.410055855855856,4.420055755755755,4.430055655655655,4.440055555555555,4.4500554554554554,4.4600553553553555,4.4700552552552555,4.4800551551551555,4.490055055055055,4.500054954954955,4.510054854854855,4.520054754754755,4.530054654654655,4.540054554554555,4.550054454454455,4.560054354354354,4.570054254254254,4.580054154154154,4.590054054054054,4.600053953953954,4.610053853853854,4.620053753753754,4.630053653653654,4.640053553553553,4.650053453453453,4.660053353353353,4.670053253253253,4.680053153153153,4.690053053053053,4.700052952952953,4.7100528528528525,4.7200527527527525,4.7300526526526525,4.7400525525525525,4.750052452452453,4.760052352352353,4.770052252252253,4.780052152152152,4.790052052052052,4.800051951951952,4.810051851851852,4.820051751751752,4.830051651651652,4.840051551551552,4.850051451451452,4.860051351351351,4.870051251251251,4.880051151151151,4.890051051051051,4.900050950950951,4.910050850850851,4.920050750750751,4.93005065065065,4.94005055055055,4.95005045045045,4.96005035035035,4.97005025025025,4.98005015015015,4.99005005005005,5.00004994994995,5.01004984984985,5.02004974974975,5.03004964964965,5.04004954954955,5.05004944944945,5.06004934934935,5.070049249249249,5.080049149149149,5.090049049049049,5.100048948948949,5.110048848848849,5.120048748748749,5.130048648648649,5.140048548548549,5.150048448448448,5.160048348348348,5.170048248248248,5.180048148148148,5.190048048048048,5.200047947947948,5.210047847847848,5.220047747747747,5.230047647647647,5.240047547547547,5.2500474474474474,5.2600473473473475,5.2700472472472475,5.2800471471471475,5.290047047047047,5.300046946946947,5.310046846846847,5.320046746746747,5.330046646646647,5.340046546546547,5.350046446446447,5.360046346346346,5.370046246246246,5.380046146146146,5.390046046046046,5.400045945945946,5.410045845845846,5.420045745745746,5.430045645645646,5.440045545545545,5.450045445445445,5.460045345345345,5.470045245245245,5.480045145145145,5.490045045045045,5.500044944944945,5.5100448448448445,5.5200447447447445,5.5300446446446445,5.5400445445445445,5.550044444444445,5.560044344344345,5.570044244244245,5.580044144144144,5.590044044044044,5.600043943943944,5.610043843843844,5.620043743743744,5.630043643643644,5.640043543543544,5.650043443443443,5.660043343343343,5.670043243243243,5.680043143143143,5.690043043043043,5.700042942942943,5.710042842842843,5.720042742742743,5.730042642642642,5.740042542542542,5.750042442442442,5.760042342342342,5.770042242242242,5.780042142142142,5.790042042042042,5.800041941941942,5.810041841841842,5.820041741741742,5.830041641641642,5.840041541541542,5.850041441441442,5.860041341341342,5.870041241241241,5.880041141141141,5.890041041041041,5.900040940940941,5.910040840840841,5.920040740740741,5.930040640640641,5.940040540540541,5.95004044044044,5.96004034034034,5.97004024024024,5.98004014014014,5.99004004004004,6.00003993993994,6.01003983983984,6.020039739739739,6.030039639639639,6.040039539539539,6.0500394394394394,6.0600393393393395,6.0700392392392395,6.0800391391391395,6.090039039039039,6.100038938938939,6.110038838838839,6.120038738738739,6.130038638638639,6.140038538538539,6.150038438438439,6.160038338338338,6.170038238238238,6.180038138138138,6.190038038038038,6.200037937937938,6.210037837837838,6.220037737737738,6.230037637637638,6.240037537537537,6.250037437437437,6.260037337337337,6.270037237237237,6.280037137137137,6.290037037037037,6.300036936936937,6.3100368368368365,6.3200367367367365,6.3300366366366365,6.3400365365365365,6.350036436436437,6.360036336336337,6.370036236236237,6.380036136136136,6.390036036036036,6.400035935935936,6.410035835835836,6.420035735735736,6.430035635635636,6.440035535535536,6.450035435435435,6.460035335335335,6.470035235235235,6.480035135135135,6.490035035035035,6.500034934934935,6.510034834834835,6.520034734734735,6.530034634634634,6.540034534534534,6.550034434434434,6.560034334334334,6.570034234234234,6.580034134134134,6.590034034034034,6.600033933933934,6.610033833833834,6.620033733733734,6.630033633633634,6.640033533533534,6.650033433433434,6.660033333333334,6.670033233233233,6.680033133133133,6.690033033033033,6.700032932932933,6.710032832832833,6.720032732732733,6.730032632632633,6.740032532532532,6.750032432432432,6.760032332332332,6.770032232232232,6.780032132132132,6.790032032032032,6.800031931931932,6.810031831831832,6.820031731731731,6.830031631631631,6.840031531531531,6.8500314314314315,6.8600313313313315,6.8700312312312315,6.8800311311311315,6.890031031031031,6.900030930930931,6.910030830830831,6.920030730730731,6.930030630630631,6.940030530530531,6.950030430430431,6.96003033033033,6.97003023023023,6.98003013013013,6.99003003003003,7.00002992992993,7.01002982982983,7.02002972972973,7.03002962962963,7.040029529529529,7.050029429429429,7.060029329329329,7.070029229229229,7.080029129129129,7.090029029029029,7.100028928928929,7.1100288288288285,7.1200287287287285,7.1300286286286285,7.1400285285285285,7.150028428428429,7.160028328328329,7.170028228228229,7.180028128128128,7.190028028028028,7.200027927927928,7.210027827827828,7.220027727727728,7.230027627627628,7.240027527527528,7.250027427427427,7.260027327327327,7.270027227227227,7.280027127127127,7.290027027027027,7.300026926926927,7.310026826826827,7.320026726726727,7.330026626626626,7.340026526526526,7.350026426426426,7.360026326326326,7.370026226226226,7.380026126126126,7.390026026026026,7.400025925925926,7.410025825825826,7.420025725725726,7.430025625625626,7.440025525525526,7.450025425425426,7.460025325325326,7.470025225225225,7.480025125125125,7.490025025025025,7.500024924924925,7.510024824824825,7.520024724724725,7.530024624624625,7.540024524524524,7.550024424424424,7.560024324324324,7.570024224224224,7.580024124124124,7.590024024024024,7.600023923923924,7.610023823823824,7.620023723723723,7.630023623623623,7.640023523523523,7.6500234234234235,7.6600233233233235,7.6700232232232235,7.6800231231231235,7.690023023023023,7.700022922922923,7.710022822822823,7.720022722722723,7.730022622622623,7.740022522522523,7.750022422422423,7.760022322322322,7.770022222222222,7.780022122122122,7.790022022022022,7.800021921921922,7.810021821821822,7.820021721721722,7.830021621621621,7.840021521521521,7.850021421421421,7.860021321321321,7.870021221221221,7.880021121121121,7.890021021021021,7.900020920920921,7.9100208208208205,7.9200207207207205,7.9300206206206205,7.9400205205205205,7.950020420420421,7.960020320320321,7.970020220220221,7.98002012012012,7.99002002002002,8.00001991991992,8.01001981981982,8.02001971971972,8.030019619619619,8.04001951951952,8.050019419419419,8.06001931931932,8.070019219219219,8.08001911911912,8.090019019019019,8.100018918918918,8.11001881881882,8.120018718718718,8.13001861861862,8.140018518518518,8.15001841841842,8.160018318318318,8.170018218218217,8.180018118118118,8.190018018018018,8.200017917917918,8.210017817817818,8.220017717717718,8.230017617617618,8.240017517517517,8.250017417417418,8.260017317317317,8.270017217217218,8.280017117117117,8.290017017017018,8.300016916916917,8.310016816816816,8.320016716716717,8.330016616616616,8.340016516516517,8.350016416416416,8.360016316316317,8.370016216216216,8.380016116116115,8.390016016016016,8.400015915915915,8.410015815815816,8.420015715715715,8.430015615615616,8.440015515515515,8.450015415415415,8.460015315315315,8.470015215215215,8.480015115115116,8.490015015015015,8.500014914914916,8.510014814814815,8.520014714714714,8.530014614614615,8.540014514514514,8.550014414414415,8.560014314314314,8.570014214214215,8.580014114114114,8.590014014014015,8.600013913913914,8.610013813813813,8.620013713713714,8.630013613613613,8.640013513513514,8.650013413413413,8.660013313313314,8.670013213213213,8.680013113113112,8.690013013013013,8.700012912912912,8.710012812812813,8.720012712712712,8.730012612612613,8.740012512512513,8.750012412412412,8.760012312312313,8.770012212212212,8.780012112112113,8.790012012012012,8.800011911911913,8.810011811811812,8.820011711711711,8.830011611611612,8.840011511511511,8.850011411411412,8.860011311311311,8.870011211211212,8.880011111111111,8.89001101101101,8.900010910910911,8.91001081081081,8.920010710710711,8.93001061061061,8.940010510510511,8.95001041041041,8.96001031031031,8.97001021021021,8.98001011011011,8.99001001001001,9.00000990990991,9.01000980980981,9.02000970970971,9.030009609609609,9.04000950950951,9.050009409409409,9.06000930930931,9.070009209209209,9.08000910910911,9.090009009009009,9.10000890890891,9.110008808808809,9.120008708708708,9.130008608608609,9.140008508508508,9.150008408408409,9.160008308308308,9.170008208208209,9.180008108108108,9.190008008008007,9.200007907907908,9.210007807807807,9.220007707707708,9.230007607607607,9.240007507507508,9.250007407407407,9.260007307307307,9.270007207207208,9.280007107107107,9.290007007007008,9.300006906906907,9.310006806806808,9.320006706706707,9.330006606606606,9.340006506506507,9.350006406406406,9.360006306306307,9.370006206206206,9.380006106106107,9.390006006006006,9.400005905905905,9.410005805805806,9.420005705705705,9.430005605605606,9.440005505505505,9.450005405405406,9.460005305305305,9.470005205205204,9.480005105105105,9.490005005005004,9.500004904904905,9.510004804804804,9.520004704704705,9.530004604604605,9.540004504504504,9.550004404404405,9.560004304304304,9.570004204204205,9.580004104104104,9.590004004004005,9.600003903903904,9.610003803803803,9.620003703703704,9.630003603603603,9.640003503503504,9.650003403403403,9.660003303303304,9.670003203203203,9.680003103103104,9.690003003003003,9.700002902902902,9.710002802802803,9.720002702702702,9.730002602602603,9.740002502502502,9.750002402402403,9.760002302302302,9.770002202202202,9.780002102102102,9.790002002002002,9.800001901901902,9.810001801801802,9.820001701701703,9.830001601601602,9.8400015015015,9.850001401401402,9.8600013013013,9.870001201201202,9.8800011011011,9.890001001001002,9.900000900900901,9.9100008008008,9.920000700700701,9.9300006006006,9.940000500500501,9.9500004004004,9.960000300300301,9.9700002002002,9.9800001001001,9.99]} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.js b/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.js index f2b0bc8dedff..dd879588a0d7 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.js @@ -31,10 +31,10 @@ var fresnels = require( './../lib' ); // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -56,7 +56,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (small positi for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 4 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 5 ), true, 'returns expected value' ); } t.end(); }); @@ -72,7 +72,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (medium posit for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); }); @@ -88,7 +88,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (large positi for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); }); @@ -104,7 +104,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (very large p for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.native.js index 4c6916f1b9b0..3ca2811aaefd 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnels/test/test.native.js @@ -40,10 +40,10 @@ var opts = { // FIXTURES // -var smallPositive = require( './fixtures/c/cephes/small.json' ); -var mediumPositive = require( './fixtures/c/cephes/medium.json' ); -var largePositive = require( './fixtures/c/cephes/large.json' ); -var hugePositive = require( './fixtures/c/cephes/huge.json' ); +var smallPositive = require( './fixtures/julia/small.json' ); +var mediumPositive = require( './fixtures/julia/medium.json' ); +var largePositive = require( './fixtures/julia/large.json' ); +var hugePositive = require( './fixtures/julia/huge.json' ); // TESTS // @@ -65,7 +65,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (small positi for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 4 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 5 ), true, 'returns expected value' ); } t.end(); }); @@ -81,7 +81,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (medium posit for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); }); @@ -97,7 +97,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (large positi for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); }); @@ -113,7 +113,7 @@ tape( 'the function computes the S(x) term of the Fresnel integral (very large p for ( i = 0; i < x.length; i++ ) { y = fresnels( x[i] ); - t.strictEqual( isAlmostSameValue( y, S[ i ], 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, S[ i ], 0 ), true, 'returns expected value' ); } t.end(); });