diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/README.md index daf186718eb5..15d4ef7a9880 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/README.md @@ -24,7 +24,7 @@ limitations under the License.
-The [cumulative distribution function][cdf] for a [F][f-distribution] random variable is +The [cumulative distribution function][cdf] for an [F][f-distribution] random variable is @@ -55,7 +55,7 @@ var cdf = require( '@stdlib/stats/base/dists/f/cdf' ); #### cdf( x, d1, d2 ) -Evaluates the [cumulative distribution function][cdf] (CDF) for a [F][f-distribution] distribution with parameters `d1` (numerator degrees of freedom) and `d2` (denominator degrees of freedom). +Evaluates the [cumulative distribution function][cdf] (CDF) for an [F][f-distribution] distribution with parameters `d1` (numerator degrees of freedom) and `d2` (denominator degrees of freedom). ```javascript var y = cdf( 2.0, 1.0, 1.0 ); @@ -134,14 +134,15 @@ y = mycdf( 8.0 ); ```javascript var uniform = require( '@stdlib/random/array/uniform' ); var logEachMap = require( '@stdlib/console/log-each-map' ); +var EPS = require( '@stdlib/constants/float64/eps' ); var cdf = require( '@stdlib/stats/base/dists/f/cdf' ); var opts = { 'dtype': 'float64' }; var x = uniform( 10, 0.0, 10.0, opts ); -var d1 = uniform( 10, 0.0, 10.0, opts ); -var d2 = uniform( 10, 0.0, 10.0, opts ); +var d1 = uniform( 10, EPS, 10.0, opts ); +var d2 = uniform( 10, EPS, 10.0, opts ); logEachMap( 'x: %0.4f, d1: %0.4f, d2: %0.4f, F(x;d1,d2): %0.4f', x, d1, d2, cdf ); ``` @@ -150,6 +151,105 @@ logEachMap( 'x: %0.4f, d1: %0.4f, d2: %0.4f, F(x;d1,d2): %0.4f', x, d1, d2, cdf + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/stats/base/dists/f/cdf.h" +``` + +#### stdlib_base_dists_f_cdf( x, d1, d2 ) + +Evaluates the [cumulative distribution function][cdf] (CDF) for an [F][f-distribution] distribution with numerator degrees of freedom `d1` and denominator degrees of freedom `d2` at a value `x`. + +```c +double out = stdlib_base_dists_f_cdf( 2.0, 1.0, 1.0 ); +// returns ~0.608 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value. +- **d1**: `[in] double` numerator degrees of freedom. +- **d2**: `[in] double` denominator degrees of freedom. + +```c +double stdlib_base_dists_f_cdf( const double x, const double d1, const double d2 ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/stats/base/dists/f/cdf.h" +#include "stdlib/constants/float64/eps.h" +#include +#include + +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +int main( void ) { + double d1; + double d2; + double x; + double y; + int i; + + for ( i = 0; i < 10; i++ ) { + x = random_uniform( 0.0, 10.0 ); + d1 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 ); + d2 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 ); + y = stdlib_base_dists_f_cdf( x, d1, d2 ); + printf( "x: %lf, d1: %lf, d2: %lf, F(x;d1,d2): %lf\n", x, d1, d2, y ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.js index af58f0ac0dc3..bbea05e6e340 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.js @@ -49,7 +49,7 @@ bench( pkg, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { - y = cdf( x[ i % x.length ], d1[ i % d1.length ], d2[ i % d2.length ]); + y = cdf( x[ i % x.length ], d1[ i % d1.length ], d2[ i % d2.length ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.native.js new file mode 100644 index 000000000000..5a4722b5835c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/benchmark.native.js @@ -0,0 +1,72 @@ +/** +* @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. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var cdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cdf instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg ), opts, function benchmark( b ) { + var opts; + var d1; + var d2; + var x; + var y; + var i; + + opts = { + 'dtype': 'float64' + }; + x = uniform( 100, EPS, 100.0, opts ); + d1 = discreteUniform( 100, 1, 100, opts ); + d2 = discreteUniform( 100, 1, 100, opts ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = cdf( x[ i % x.length ], d1[ i % d1.length ], d2[ i % d2.length ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @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 := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/benchmark.c new file mode 100644 index 000000000000..f972bc7b471b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/benchmark/c/benchmark.c @@ -0,0 +1,143 @@ +/** +* @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. +*/ + +#include "stdlib/stats/base/dists/f/cdf.h" +#include "stdlib/constants/float64/eps.h" +#include +#include +#include +#include +#include + +#define NAME "f-cdf" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + double d1[ 100 ]; + double d2[ 100 ]; + double x[ 100 ]; + double elapsed; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 100.0 ); + d1[ i ] = random_uniform( 1.0, 100.0 ); + d2[ i ] = random_uniform( 1.0, 100.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_dists_f_cdf( x[ i % 100 ], d1[ i % 100 ], d2[ i % 100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/binding.gyp @@ -0,0 +1,170 @@ +# @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. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/docs/repl.txt index 339e7586ce52..36e36fed74fe 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/docs/repl.txt +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/docs/repl.txt @@ -28,25 +28,25 @@ -------- > var y = {{alias}}( 2.0, 1.0, 1.0 ) ~0.608 - > var y = {{alias}}( 2.0, 8.0, 4.0 ) + > y = {{alias}}( 2.0, 8.0, 4.0 ) ~0.737 - > var y = {{alias}}( -1.0, 2.0, 2.0 ) + > y = {{alias}}( -1.0, 2.0, 2.0 ) 0.0 - > var y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}}, 4.0, 2.0 ) + > y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}}, 4.0, 2.0 ) 1.0 - > var y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}}, 4.0, 2.0 ) + > y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}}, 4.0, 2.0 ) 0.0 - > var y = {{alias}}( NaN, 1.0, 1.0 ) + > y = {{alias}}( NaN, 1.0, 1.0 ) NaN - > var y = {{alias}}( 0.0, NaN, 1.0 ) + > y = {{alias}}( 0.0, NaN, 1.0 ) NaN - > var y = {{alias}}( 0.0, 1.0, NaN ) + > y = {{alias}}( 0.0, 1.0, NaN ) NaN - > var y = {{alias}}( 2.0, 1.0, -1.0 ) + > y = {{alias}}( 2.0, 1.0, -1.0 ) NaN - > var y = {{alias}}( 2.0, -1.0, 1.0 ) + > y = {{alias}}( 2.0, -1.0, 1.0 ) NaN diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @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 := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/example.c new file mode 100644 index 000000000000..bb4f135db7c6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/c/example.c @@ -0,0 +1,43 @@ +/** +* @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. +*/ + +#include "stdlib/stats/base/dists/f/cdf.h" +#include "stdlib/constants/float64/eps.h" +#include +#include + +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +int main( void ) { + double d1; + double d2; + double x; + double y; + int i; + + for ( i = 0; i < 10; i++ ) { + x = random_uniform( 0.0, 10.0 ); + d1 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 ); + d2 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 ); + y = stdlib_base_dists_f_cdf( x, d1, d2 ); + printf( "x: %lf, d1: %lf, d2: %lf, F(x;d1,d2): %lf\n", x, d1, d2, y ); + } +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/index.js index 8ed1b04af5b6..9944f4677741 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/index.js +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/examples/index.js @@ -20,13 +20,14 @@ var uniform = require( '@stdlib/random/array/uniform' ); var logEachMap = require( '@stdlib/console/log-each-map' ); +var EPS = require( '@stdlib/constants/float64/eps' ); var cdf = require( './../lib' ); var opts = { 'dtype': 'float64' }; var x = uniform( 10, 0.0, 10.0, opts ); -var d1 = uniform( 10, 0.0, 10.0, opts ); -var d2 = uniform( 10, 0.0, 10.0, opts ); +var d1 = uniform( 10, EPS, 10.0, opts ); +var d2 = uniform( 10, EPS, 10.0, opts ); logEachMap( 'x: %0.4f, d1: %0.4f, d2: %0.4f, F(x;d1,d2): %0.4f', x, d1, d2, cdf ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/include.gypi @@ -0,0 +1,53 @@ +# @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. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + ' d2 ) { - return betainc( (d1*x)/(d2+(d1*x)), d1/2.0, d2 /2.0, true, false ); + return betainc( (d1*x)/(d2+(d1*x)), d1/2.0, d2/2.0, true, false ); } return betainc( d2/(d2+(d1*x)), d2/2.0, d1/2.0, true, true ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/lib/native.js new file mode 100644 index 000000000000..1d538872ddf8 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/lib/native.js @@ -0,0 +1,84 @@ +/** +* @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. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Evaluates the cumulative distribution function (CDF) for an F distribution with numerator degrees of freedom `d1` and denominator degrees of freedom `d2` at a value `x`. +* +* @private +* @param {number} x - input value +* @param {PositiveNumber} d1 - numerator degrees of freedom +* @param {PositiveNumber} d2 - denominator degrees of freedom +* @returns {Probability} evaluated CDF +* +* @example +* var y = cdf( 2.0, 1.0, 1.0 ); +* // returns ~0.608 +* +* @example +* var y = cdf( 2.0, 8.0, 4.0 ); +* // returns ~0.737 +* +* @example +* var y = cdf( -1.0, 2.0, 2.0 ); +* // returns 0.0 +* +* @example +* var y = cdf( +Infinity, 4.0, 2.0 ); +* // returns 1.0 +* +* @example +* var y = cdf( -Infinity, 4.0, 2.0 ); +* // returns 0.0 +* +* @example +* var y = cdf( NaN, 1.0, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, 1.0, NaN ); +* // returns NaN +* +* @example +* var y = cdf( 2.0, 1.0, -1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 2.0, -1.0, 1.0 ); +* // returns NaN +*/ +function cdf( x, d1, d2 ) { + return addon( x, d1, d2 ); +} + + +// EXPORTS // + +module.exports = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/manifest.json new file mode 100644 index 000000000000..3d554b11f837 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/manifest.json @@ -0,0 +1,84 @@ +{ + "options": { + "task": "build", + "wasm": false + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/ternary", + "@stdlib/math/base/special/betainc", + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf" + ] + }, + { + "task": "benchmark", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/betainc", + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/eps" + ] + }, + { + "task": "examples", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/betainc", + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/eps" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/package.json index f372f05b0269..1ca47d9397b4 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/package.json +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/package.json @@ -14,11 +14,14 @@ } ], "main": "./lib", + "gypfile": true, "directories": { "benchmark": "./benchmark", "doc": "./docs", "example": "./examples", + "include": "./include", "lib": "./lib", + "src": "./src", "test": "./test" }, "types": "./docs/types", diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @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 := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/addon.c new file mode 100644 index 000000000000..11b11918541b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/addon.c @@ -0,0 +1,22 @@ +/** +* @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. +*/ + +#include "stdlib/stats/base/dists/f/cdf.h" +#include "stdlib/math/base/napi/ternary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_DDD_D( stdlib_base_dists_f_cdf ) diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/main.c new file mode 100644 index 000000000000..46fc849c96dd --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/src/main.c @@ -0,0 +1,59 @@ +/** +* @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. +*/ + +#include "stdlib/stats/base/dists/f/cdf.h" +#include "stdlib/math/base/special/betainc.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/constants/float64/pinf.h" + +/** +* Evaluates the cumulative distribution function (CDF) for an F distribution with numerator degrees of freedom `d1` and denominator degrees of freedom `d2` at a value `x`. +* +* @param x input value +* @param d1 numerator degrees of freedom +* @param d2 denominator degrees of freedom +* @return evaluated CDF +* +* @example +* double y = stdlib_base_dists_f_cdf( 2.0, 1.0, 1.0 ); +* // returns ~0.608 +*/ +double stdlib_base_dists_f_cdf( const double x, const double d1, const double d2 ) { + double d1x; + if ( + stdlib_base_is_nan( x ) || + stdlib_base_is_nan( d1 ) || + stdlib_base_is_nan( d2 ) || + d1 <= 0.0 || + d2 <= 0.0 + ) { + return 0.0 / 0.0; // NaN + } + if ( x <= 0.0 ) { + return 0.0; + } + if ( x == STDLIB_CONSTANT_FLOAT64_PINF ) { + return 1.0; + } + // Evaluate the product in a separate statement in order to prevent floating-point contraction (e.g., FMA), thus ensuring that `d2 + d1x` rounds identically to the JavaScript implementation: + d1x = d1 * x; + if ( d1x > d2 ) { + return stdlib_base_betainc( d1x / ( d2 + d1x ), d1 / 2.0, d2 / 2.0, true, false ); + } + return stdlib_base_betainc( d2 / ( d2 + d1x ), d2 / 2.0, d1 / 2.0, true, true ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.cdf.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.cdf.js index 0359ccf1b98f..430d556fcf73 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.cdf.js +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.cdf.js @@ -21,10 +21,10 @@ // MODULES // var tape = require( 'tape' ); +var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var PINF = require( '@stdlib/constants/float64/pinf' ); var NINF = require( '@stdlib/constants/float64/ninf' ); -var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); var cdf = require( './../lib' ); @@ -65,9 +65,12 @@ tape( 'if provided `-infinity` for `x` and a finite `d1` and `d2`, the function t.end(); }); -tape( 'if provided a negative `d1`, the function returns `NaN`', function test( t ) { +tape( 'if provided a nonpositive `d1`, the function returns `NaN`', function test( t ) { var y; + y = cdf( 2.0, 0.0, 2.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = cdf( 2.0, -1.0, 2.0 ); t.strictEqual( isnan( y ), true, 'returns expected value' ); @@ -89,13 +92,16 @@ tape( 'if provided a negative `d1`, the function returns `NaN`', function test( t.end(); }); -tape( 'if provided a negative `d2`, the function returns `NaN`', function test( t ) { +tape( 'if provided a nonpositive `d2`, the function returns `NaN`', function test( t ) { var y; + y = cdf( 2.0, 2.0, 0.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = cdf( 2.0, 2.0, -1.0 ); t.strictEqual( isnan( y ), true, 'returns expected value' ); - y = cdf( 0.0, 2.0, -1/0 ); + y = cdf( 0.0, 2.0, NINF ); t.strictEqual( isnan( y ), true, 'returns expected value' ); y = cdf( 2.0, 1.0, NINF ); @@ -132,7 +138,7 @@ tape( 'the function evaluates the cdf for `x` given large `d1` and `d2`', functi t.end(); }); -tape( 'the function evaluates the cdf for `x` given large parameter `d1`', function test( t ) { +tape( 'the function evaluates the cdf for `x` given large `d1`', function test( t ) { var expected; var d1; var d2; @@ -151,7 +157,7 @@ tape( 'the function evaluates the cdf for `x` given large parameter `d1`', funct t.end(); }); -tape( 'the function evaluates the cdf for `x` given large scale parameter `d2`', function test( t ) { +tape( 'the function evaluates the cdf for `x` given large `d2`', function test( t ) { var expected; var d1; var d2; diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.factory.js index 0514ab5e9da4..88a41312bec5 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.factory.js @@ -183,7 +183,7 @@ tape( 'the created function evaluates the cdf for `x` given large `d1` and `d2`' t.end(); }); -tape( 'the created function evaluates the cdf for `x` given large parameter `d1`', function test( t ) { +tape( 'the created function evaluates the cdf for `x` given large `d1`', function test( t ) { var expected; var cdf; var d1; @@ -204,7 +204,7 @@ tape( 'the created function evaluates the cdf for `x` given large parameter `d1` t.end(); }); -tape( 'the created function evaluates the cdf for `x` given large parameter `d2`', function test( t ) { +tape( 'the created function evaluates the cdf for `x` given large `d2`', function test( t ) { var expected; var cdf; var d1; diff --git a/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.native.js new file mode 100644 index 000000000000..08e195150770 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/f/cdf/test/test.native.js @@ -0,0 +1,186 @@ +/** +* @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. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); + + +// VARIABLES // + +var cdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cdf instanceof Error ) +}; + + +// FIXTURES // + +var largeD1 = require( './fixtures/julia/large_d1.json' ); +var largeD2 = require( './fixtures/julia/large_d2.json' ); +var bothLarge = require( './fixtures/julia/both_large.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', opts, function test( t ) { + var y = cdf( NaN, 0.0, 1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = cdf( 0.0, NaN, 1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = cdf( 0.0, 1.0, NaN ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `+infinity` for `x` and a finite `d1` and `d2`, the function returns `1`', opts, function test( t ) { + var y = cdf( PINF, 0.5, 1.0 ); + t.strictEqual( y, 1.0, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `-infinity` for `x` and a finite `d1` and `d2`, the function returns `0`', opts, function test( t ) { + var y = cdf( NINF, 0.5, 1.0 ); + t.strictEqual( y, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a nonpositive `d1`, the function returns `NaN`', opts, function test( t ) { + var y; + + y = cdf( 2.0, 0.0, 2.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, -1.0, 2.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, -1.0, 2.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NINF, 1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NINF, PINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NINF, NaN ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a nonpositive `d2`, the function returns `NaN`', opts, function test( t ) { + var y; + + y = cdf( 2.0, 2.0, 0.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, 2.0, -1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, 2.0, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, 1.0, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, PINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = cdf( 2.0, NaN, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given large `d1` and `d2`', opts, function test( t ) { + var expected; + var d1; + var d2; + var x; + var y; + var i; + + expected = bothLarge.expected; + x = bothLarge.x; + d1 = bothLarge.d1; + d2 = bothLarge.d2; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], d1[i], d2[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 58 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given large `d1`', opts, function test( t ) { + var expected; + var d1; + var d2; + var x; + var y; + var i; + + expected = largeD1.expected; + x = largeD1.x; + d1 = largeD1.d1; + d2 = largeD1.d2; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], d1[i], d2[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 543 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given large `d2`', opts, function test( t ) { + var expected; + var d1; + var d2; + var x; + var y; + var i; + + expected = largeD2.expected; + x = largeD2.x; + d1 = largeD2.d1; + d2 = largeD2.d2; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], d1[i], d2[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 171 ), true, 'returns expected value' ); + } + t.end(); +});