diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/lib/assign.js b/lib/node_modules/@stdlib/math/base/special/fresnelf/lib/assign.js index f1405d1f6041..5a9b07878ab1 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/lib/assign.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/lib/assign.js @@ -38,6 +38,7 @@ var HALF_PI = require( '@stdlib/constants/float32/half-pi' ); var PI = require( '@stdlib/constants/float32/pi' ); var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); var absf = require( '@stdlib/math/base/special/absf' ); +var fmodf = require( '@stdlib/math/base/special/fmodf' ); var sincosf = require( '@stdlib/math/base/special/sincosf' ).assign; var f32 = require( '@stdlib/number/float64/base/to-float32' ); var polyC = require( './polyval_cn.js' ); @@ -114,6 +115,8 @@ var sc = [ 0.0, 0.0 ]; */ function fresnelf( x, out, stride, offset ) { var x2; + var hi; + var lo; var xa; var f; var g; @@ -134,7 +137,8 @@ function fresnelf( x, out, stride, offset ) { t = f32( x2 * x2 ); out[ offset ] = f32( f32( xa * x2 ) * polyS( t ) ); out[ offset + stride ] = f32( xa * polyC( t ) ); - } else if ( xa > 36974.0 ) { + } else if ( xa > 16777216.0 ) { + // Above `2^24`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: out[ offset ] = 0.5; out[ offset + stride ] = 0.5; } else { @@ -144,8 +148,13 @@ function fresnelf( x, out, stride, offset ) { t = f32( 1.0 / t ); f = f32( 1.0 - f32( u * polyF( u ) ) ); g = f32( t * polyG( u ) ); - t = f32( HALF_PI * x2 ); - sincosf( 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 `4097 = 2^12+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = f32( 4097.0 * xa ); + hi = f32( t - f32( t - xa ) ); + lo = f32( xa - hi ); + t = f32( f32( fmodf( f32( hi*hi ), 4.0 ) + fmodf( f32( 2.0*f32( hi*lo ) ), 4.0 ) ) + f32( lo*lo ) ); + sincosf( f32( HALF_PI * t ), sc, 1, 0 ); t = f32( PI * xa ); out[ offset + stride ] = f32( 0.5 + f32( f32( f32( f * sc[0] ) - f32( g * sc[1] ) ) / t ) ); // eslint-disable-line max-len out[ offset ] = f32( 0.5 - f32( f32( f32( f * sc[1] ) + f32( g * sc[0] ) ) / t ) ); // eslint-disable-line max-len diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/manifest.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/manifest.json index 3f732b5fa78c..104880e1cf91 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/manifest.json @@ -41,6 +41,7 @@ "@stdlib/napi/argv-float32array", "@stdlib/napi/export", "@stdlib/math/base/special/absf", + "@stdlib/math/base/special/fmodf", "@stdlib/math/base/special/sincosf", "@stdlib/math/base/assert/is-nanf", "@stdlib/constants/float32/pi", @@ -59,6 +60,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/absf", + "@stdlib/math/base/special/fmodf", "@stdlib/math/base/special/sincosf", "@stdlib/math/base/assert/is-nanf", "@stdlib/constants/float32/pi", @@ -77,6 +79,7 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/special/absf", + "@stdlib/math/base/special/fmodf", "@stdlib/math/base/special/sincosf", "@stdlib/math/base/assert/is-nanf", "@stdlib/constants/float32/pi", diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/src/main.c b/lib/node_modules/@stdlib/math/base/special/fresnelf/src/main.c index 6266ba7cea54..b798c1c1e210 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/src/main.c @@ -35,6 +35,7 @@ #include "stdlib/constants/float32/pi.h" #include "stdlib/math/base/assert/is_nanf.h" #include "stdlib/math/base/special/absf.h" +#include "stdlib/math/base/special/fmodf.h" #include "stdlib/math/base/special/sincosf.h" /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ @@ -167,6 +168,8 @@ static float polyval_gn( const float x ) { void stdlib_base_fresnelf( const float x, float *S, float *C ) { float xa; float x2; + float hi; + float lo; float f; float g; float t; @@ -185,7 +188,8 @@ void stdlib_base_fresnelf( const float x, float *S, float *C ) { t = x2 * x2; *S = xa * x2 * polyval_sn( t ); *C = xa * polyval_cn( t ); - } else if ( xa > 36974.0f ) { + } else if ( xa > 16777216.0f ) { + // Above `2^24`, the oscillating terms, which are at most `1/(πx)`, are below half an ulp of `0.5`: *S = 0.5f; *C = 0.5f; } else { @@ -195,8 +199,13 @@ void stdlib_base_fresnelf( const float x, float *S, float *C ) { t = 1.0f / t; f = 1.0f - ( u * polyval_fn( u ) ); g = t * polyval_gn( u ); - t = STDLIB_CONSTANT_FLOAT32_HALF_PI * x2; - stdlib_base_sincosf( 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 `4097 = 2^12+1`) so that `hi*hi`, `2*hi*lo` and `lo*lo` are exact, and reduce each term: + t = 4097.0f * xa; + hi = t - ( t - xa ); + lo = xa - hi; + t = ( stdlib_base_fmodf( hi * hi, 4.0f ) + stdlib_base_fmodf( 2.0f * hi * lo, 4.0f ) ) + ( lo * lo ); + stdlib_base_sincosf( STDLIB_CONSTANT_FLOAT32_HALF_PI * t, &s, &c ); t = STDLIB_CONSTANT_FLOAT32_PI * xa; *C = 0.5f + ( ( ( f * s ) - ( g * c ) ) / t ); *S = 0.5f - ( ( ( f * c ) + ( g * s ) ) / t ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/Makefile deleted file mode 100644 index b7add0f6664e..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/Makefile +++ /dev/null @@ -1,123 +0,0 @@ -#/ -# @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. -#/ - - -# 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/fresnelf/test/fixtures/c/cephes/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/huge.json deleted file mode 100644 index 59815487c0ca..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/huge.json +++ /dev/null @@ -1 +0,0 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/large.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/large.json deleted file mode 100644 index bdbc1e6ad80d..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/large.json +++ /dev/null @@ -1 +0,0 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/medium.json deleted file mode 100644 index a375bc63fa15..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/medium.json +++ /dev/null @@ -1 +0,0 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/runner.c b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/runner.c deleted file mode 100644 index f604c5155420..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/runner.c +++ /dev/null @@ -1,196 +0,0 @@ -/** -* @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. -*/ - -/** -* 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 void fresnlf( float x, float *s, float *c ); - -/** -* Generates a random number on the interval [0,1]. -* -* @return random number -*/ -float rand_float( void ) { - int r = rand(); - return (float)r / ( (float)RAND_MAX + 1.0f ); -} - -/** -* Generates an array of pseudorandom floats 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_f32( float *out, const unsigned int len, const float a, const float b ) { - unsigned int i; - float delta; - - delta = b - a; - - for ( i = 0; i < len; i++ ) { - out[ i ] = a + ( rand_float() * delta ); - } -} - -/** -* Writes an array of floats to a file as a series of comma-separated values. -* -* @param f file to write to -* @param x array of floats -* @param len array length -*/ -void write_array_f32( FILE *f, const float *x, const unsigned int len ) { - unsigned int i; - - for ( i = 0; i < len; i++ ) { - fprintf( f, "%.9g", x[ i ] ); - if ( i < len - 1 ) { - fprintf( f, "," ); - } - } -} - -/** -* Writes a named array of floats 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_f32( FILE *f, const char *name, const float *x, const unsigned int len ) { - fprintf( f, "\"%s\":[", name ); - write_array_f32( 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 float *x, const float *S, const float *C, const unsigned int len ) { - fprintf( f, "{" ); - write_named_array_f32( f, "x", x, len ); - fprintf( f, "," ); - write_named_array_f32( f, "S", S, len ); - fprintf( f, "," ); - write_named_array_f32( 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 float *x, const unsigned int len, const char *name ) { - unsigned int i; - float *S; - float *C; - FILE *f; - - // Allocate an output array: - S = (float*) malloc( len * sizeof(float) ); - if ( S == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - C = (float*) malloc( len * sizeof(float) ); - if ( C == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - for ( i = 0; i < len; i++ ) { - fresnlf( 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; - float *x; - - // Define the array length: - len = 1000; - - // Allocate an array: - x = (float*) malloc( len * sizeof(float) ); - if ( x == NULL ) { - printf( "Error allocating memory.\n" ); - exit( 1 ); - } - - // Generate fixture data: - rand_array_f32( x, len, 0.0f, 10.0f ); - generate( x, len, "small.json" ); - - rand_array_f32( x, len, 10.0f, 100.0f ); - generate( x, len, "medium.json" ); - - rand_array_f32( x, len, 100.0f, 36973.0f ); - generate( x, len, "large.json" ); - - rand_array_f32( x, len, 40000.0f, 60000.0f ); - generate( x, len, "huge.json" ); - - // Free allocated memory: - free( x ); - - return 0; -} diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/small.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/small.json deleted file mode 100644 index a4e70370271e..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/c/cephes/small.json +++ /dev/null @@ -1 +0,0 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/huge.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/huge.json new file mode 100644 index 000000000000..5ae3a116c215 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/huge.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/large.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/large.json new file mode 100644 index 000000000000..18c5e9bec0ee --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/large.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/medium.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/medium.json new file mode 100644 index 000000000000..b5194f535a23 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/medium.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..99410629bfdb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/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 = Float64.( Float32.( 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( 10.0, stop = 100.0, length = 1000 ); +gen( x, "medium.json" ); + +# Large values: +x = range( 100.0, stop = 36968.0, length = 1000 ); +gen( x, "large.json" ); + +# Huge values: +x = exp10.( range( log10( 40000.0 ), stop = log10( 16777216.0 ), length = 1000 ) ); +gen( x, "huge.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/small.json b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/small.json new file mode 100644 index 000000000000..9e8bd3fdfc65 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/fixtures/julia/small.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.assign.js b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.assign.js index b7816cbf074d..4dd4aa3ec2c2 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.assign.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.assign.js @@ -33,10 +33,10 @@ var fresnelf = 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 // @@ -79,8 +79,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', functio expectedS = f32( S[i] ); expectedC = f32( C[i] ); t.strictEqual( y, z, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 2 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 7 ), true, 'returns expected value' ); } t.end(); }); @@ -157,8 +157,8 @@ tape( 'the function computes Fresnel integrals (very large positive values)', fu expectedS = f32( S[i] ); expectedC = f32( C[i] ); t.strictEqual( y, z, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 0 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 1 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.main.js b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.main.js index d6e2f95a9929..770ff033a61e 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.main.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.main.js @@ -32,10 +32,10 @@ var fresnelf = 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 // @@ -70,8 +70,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', functio y = fresnelf( x[i] ); expectedS = f32( S[i] ); expectedC = f32( C[i] ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 2 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 7 ), true, 'returns expected value' ); } t.end(); }); @@ -139,8 +139,8 @@ tape( 'the function computes Fresnel integrals (very large positive values)', fu y = fresnelf( x[i] ); expectedS = f32( S[i] ); expectedC = f32( C[i] ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 0 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 1 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.native.js index 47f9ef28e673..27fa4ebc6642 100644 --- a/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/fresnelf/test/test.native.js @@ -41,10 +41,10 @@ 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 // @@ -79,8 +79,8 @@ tape( 'the function computes Fresnel integrals (small positive values)', opts, f y = fresnelf( x[i] ); expectedS = f32( S[i] ); expectedC = f32( C[i] ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 2 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 5 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 3 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 7 ), true, 'returns expected value' ); } t.end(); }); @@ -148,8 +148,8 @@ tape( 'the function computes Fresnel integrals (very large positive values)', op y = fresnelf( x[i] ); expectedS = f32( S[i] ); expectedC = f32( C[i] ); - t.strictEqual( isAlmostSameValuef( y[0], expectedS, 0 ), true, 'returns expected value' ); - t.strictEqual( isAlmostSameValuef( y[1], expectedC, 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[0], expectedS, 1 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValuef( y[1], expectedC, 1 ), true, 'returns expected value' ); } t.end(); });