From e7e0f4690074d14b9e2b86a6bc3c61d75ce66ac0 Mon Sep 17 00:00:00 2001 From: Philipp Burckhardt <pburckhardt@outlook.com> Date: Tue, 10 Dec 2024 22:22:57 -0500 Subject: [PATCH] feat: add C implementation for arcsine CDF PR-URL: https://github.com/stdlib-js/stdlib/pull/3354 Closes: https://github.com/stdlib-js/stdlib/issues/3384 Co-authored-by: Athan Reines <kgryte@gmail.com> Reviewed-by: Athan Reines <kgryte@gmail.com> Signed-off-by: Philipp Burckhardt <pburckhardt@outlook.com> Co-authored-by: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> --- .../stats/base/dists/arcsine/cdf/README.md | 98 ++++++++++ .../dists/arcsine/cdf/benchmark/benchmark.js | 22 ++- .../arcsine/cdf/benchmark/benchmark.native.js | 73 ++++++++ .../dists/arcsine/cdf/benchmark/c/Makefile | 146 +++++++++++++++ .../dists/arcsine/cdf/benchmark/c/benchmark.c | 142 ++++++++++++++ .../stats/base/dists/arcsine/cdf/binding.gyp | 170 +++++++++++++++++ .../dists/arcsine/cdf/examples/c/Makefile | 146 +++++++++++++++ .../dists/arcsine/cdf/examples/c/example.c | 42 +++++ .../stats/base/dists/arcsine/cdf/include.gypi | 53 ++++++ .../stdlib/stats/base/dists/arcsine/cdf.h | 38 ++++ .../base/dists/arcsine/cdf/lib/native.js | 76 ++++++++ .../base/dists/arcsine/cdf/manifest.json | 85 +++++++++ .../stats/base/dists/arcsine/cdf/package.json | 3 + .../stats/base/dists/arcsine/cdf/src/Makefile | 70 +++++++ .../stats/base/dists/arcsine/cdf/src/addon.c | 23 +++ .../stats/base/dists/arcsine/cdf/src/main.c | 55 ++++++ .../dists/arcsine/cdf/test/test.native.js | 175 ++++++++++++++++++ 17 files changed, 1411 insertions(+), 6 deletions(-) create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.native.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/Makefile create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/benchmark.c create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/binding.gyp create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/Makefile create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/example.c create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include.gypi create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include/stdlib/stats/base/dists/arcsine/cdf.h create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/lib/native.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/manifest.json create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/Makefile create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/addon.c create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/main.c create mode 100644 lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/test/test.native.js diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/README.md index 47786ff8550..13bf5ec2d9b 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/README.md @@ -137,6 +137,104 @@ for ( i = 0; i < 25; i++ ) { <!-- /.examples --> +<!-- C interface documentation. --> + +* * * + +<section class="c"> + +## C APIs + +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> + +<section class="intro"> + +</section> + +<!-- /.intro --> + +<!-- C usage documentation. --> + +<section class="usage"> + +### Usage + +```c +#include "stdlib/stats/base/dists/arcsine/cdf.h" +``` + +#### stdlib_base_dists_arcsine_cdf( x, a, b ) + +Evaluates the cumulative distribution function (CDF) for an arcsine distribution. + +```c +double out = stdlib_base_dists_arcsine_cdf( 0.5, 0.0, 2.0 ); +// returns ~0.333 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value. +- **a**: `[in] double` minimum support. +- **b**: `[in] double` maximum support. + +```c +double stdlib_base_dists_arcsine_cdf( const double x, const double a, const double b ); +``` + +</section> + +<!-- /.usage --> + +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> + +<section class="notes"> + +</section> + +<!-- /.notes --> + +<!-- C API usage examples. --> + +<section class="examples"> + +### Examples + +```c +#include "stdlib/stats/base/dists/arcsine/cdf.h" +#include <stdlib.h> +#include <stdio.h> + +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 x; + double a; + double b; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + x = random_uniform( -10.0, 10.0 ); + a = random_uniform( -20.0, 0.0 ); + b = random_uniform( a, a+40.0 ); + y = stdlib_base_dists_arcsine_cdf( x, a, b ); + printf( "x: %lf, a: %lf, b: %lf, F(x;a,b): %lf\n", x, a, b, y ); + } +} +``` + +</section> + +<!-- /.examples --> + +</section> + +<!-- /.c --> + <!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> <section class="related"> diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.js index f2c34834331..6e3896602ca 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.js @@ -21,6 +21,8 @@ // MODULES // var bench = require( '@stdlib/bench' ); +var Float64Array = require( '@stdlib/array/float64' ); +var uniform = require( '@stdlib/random/array/uniform' ); var randu = require( '@stdlib/random/base/randu' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var pkg = require( './../package.json' ).name; @@ -30,18 +32,26 @@ var cdf = require( './../lib' ); // MAIN // bench( pkg, function benchmark( b ) { + var len; var min; var max; var x; var y; var i; + len = 100; + x = new Float64Array( len ); + min = new Float64Array( len ); + max = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + x[ i ] = ( randu() * 20.0 ) - 10.0; + min[ i ] = ( randu() * 20.0 ) - 20.0; + max[ i ] = min[ i ] + ( randu() * 40.0 ); + } + b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = ( randu() * 20.0 ) - 10.0; - min = ( randu() * 20.0 ) - 20.0; - max = min + ( randu() * 40.0 ); - y = cdf( x, min, max ); + y = cdf( x[ i % len ], min[ i % len ], max[ i % len ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } @@ -65,11 +75,11 @@ bench( pkg+':factory', function benchmark( b ) { min = -1.5; max = 1.5; mycdf = cdf.factory( min, max ); + x = uniform( 100, -2.0, 2.0 ); b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = ( randu()*2.0 ) - 2.0; - y = mycdf( x ); + y = mycdf( x[ i % x.length ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.native.js new file mode 100644 index 00000000000..22d310a6ee5 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/benchmark.native.js @@ -0,0 +1,73 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 Float64Array = require( '@stdlib/array/float64' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var cdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cdf instanceof Error ) +}; + + +// MAIN // + +bench( pkg, opts, function benchmark( b ) { + var len; + var min; + var max; + var x; + var y; + var i; + + len = 100; + x = new Float64Array( len ); + min = new Float64Array( len ); + max = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + x[ i ] = ( randu() * 20.0 ) - 10.0; + min[ i ] = ( randu() * 20.0 ) - 20.0; + max[ i ] = min[ i ] + ( randu() * 40.0 ); + } + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = cdf( x[ i % len ], min[ i % len ], max[ i % len ] ); + 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/arcsine/cdf/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/Makefile new file mode 100644 index 00000000000..f69e9da2b4d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 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/arcsine/cdf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/benchmark.c new file mode 100644 index 00000000000..a0456817246 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/benchmark/c/benchmark.c @@ -0,0 +1,142 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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/arcsine/cdf.h" +#include <stdlib.h> +#include <stdio.h> +#include <math.h> +#include <time.h> +#include <sys/time.h> + +#define NAME "arcsine-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 elapsed; + double x[ 100 ]; + double a[ 100 ]; + double b[ 100 ]; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -10.0, 10.0 ); + a[ i ] = random_uniform( -20.0, 0.0 ); + b[ i ] = random_uniform( a[ i ], a[ i ]+40.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_dists_arcsine_cdf( x[ i%100 ], a[ i%100 ], b[ 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/arcsine/cdf/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/binding.gyp new file mode 100644 index 00000000000..ec399223344 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 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/arcsine/cdf/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/Makefile new file mode 100644 index 00000000000..6aed70daf16 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 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/arcsine/cdf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/example.c new file mode 100644 index 00000000000..848b9b939c6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/examples/c/example.c @@ -0,0 +1,42 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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/arcsine/cdf.h" +#include <stdlib.h> +#include <stdio.h> + +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 x; + double a; + double b; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + x = random_uniform( -10.0, 10.0 ); + a = random_uniform( -20.0, 0.0 ); + b = random_uniform( a, a+40.0 ); + y = stdlib_base_dists_arcsine_cdf( x, a, b ); + printf( "x: %lf, a: %lf, b: %lf, F(x;a,b): %lf\n", x, a, b, y ); + } +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include.gypi new file mode 100644 index 00000000000..575cb043c0b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 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': [ + '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).include; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")', + ], + + # Add-on destination directory: + 'addon_output_dir': './src', + + # Source files: + 'src_files': [ + '<(src_dir)/addon.c', + '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).src; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")', + ], + + # Library dependencies: + 'libraries': [ + '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libraries; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")', + ], + + # Library directories: + 'library_dirs': [ + '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libpath; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")', + ], + }, # end variables +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include/stdlib/stats/base/dists/arcsine/cdf.h b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include/stdlib/stats/base/dists/arcsine/cdf.h new file mode 100644 index 00000000000..6221babaaba --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/include/stdlib/stats/base/dists/arcsine/cdf.h @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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. +*/ + +#ifndef STDLIB_STATS_BASE_DISTS_ARCSINE_CDF_H +#define STDLIB_STATS_BASE_DISTS_ARCSINE_CDF_H + +/* +* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. +*/ +#ifdef __cplusplus +extern "C" { +#endif + +/** +* Evaluates the cumulative distribution function (CDF) for an arcsine distribution with minimum support `a` and maximum support `b` at a value `x`. +*/ +double stdlib_base_dists_arcsine_cdf( const double x, const double a, const double b ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_STATS_BASE_DISTS_ARCSINE_CDF_H diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/lib/native.js new file mode 100644 index 00000000000..2de34e4d735 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/lib/native.js @@ -0,0 +1,76 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 arcsine distribution with minimum support `a` and maximum support `b` at a value `x`. +* +* @private +* @param {number} x - input value +* @param {number} a - minimum support +* @param {number} b - maximum support +* @returns {Probability} evaluated CDF +* +* @example +* var y = cdf( 9.0, 0.0, 10.0 ); +* // returns ~0.795 +* +* @example +* var y = cdf( 0.5, 0.0, 2.0 ); +* // returns ~0.333 +* +* @example +* var y = cdf( +Infinity, 2.0, 4.0 ); +* // returns 1.0 +* +* @example +* var y = cdf( -Infinity, 2.0, 4.0 ); +* // returns 0.0 +* +* @example +* var y = cdf( NaN, 0.0, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, 0.0, NaN ); +* // returns NaN +* +* @example +* var y = cdf( 2.0, 1.0, 0.0 ); +* // returns NaN +*/ +function cdf( x, a, b ) { + return addon( x, a, b ); +} + + +// EXPORTS // + +module.exports = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/manifest.json new file mode 100644 index 00000000000..dbc2e6588b6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/manifest.json @@ -0,0 +1,85 @@ +{ + "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/assert/is-nan", + "@stdlib/math/base/special/asin", + "@stdlib/math/base/special/sqrt", + "@stdlib/constants/float64/pi" + ] + }, + { + "task": "benchmark", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/asin", + "@stdlib/math/base/special/sqrt", + "@stdlib/constants/float64/pi" + ] + }, + { + "task": "examples", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/asin", + "@stdlib/math/base/special/sqrt", + "@stdlib/constants/float64/pi" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/package.json index d2d7450f46f..ad1f28f1a53 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/package.json +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/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/arcsine/cdf/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/Makefile new file mode 100644 index 00000000000..bcf18aa4665 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 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/arcsine/cdf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/addon.c new file mode 100644 index 00000000000..cbdb76a144f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/addon.c @@ -0,0 +1,23 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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/arcsine/cdf.h" +#include "stdlib/math/base/napi/ternary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_DDD_D( stdlib_base_dists_arcsine_cdf ) diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/main.c new file mode 100644 index 00000000000..fabfa8516ce --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/src/main.c @@ -0,0 +1,55 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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/arcsine/cdf.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/math/base/special/asin.h" +#include "stdlib/math/base/special/sqrt.h" +#include "stdlib/constants/float64/pi.h" + +static const double TWO_OVER_PI = 2.0 / STDLIB_CONSTANT_FLOAT64_PI; + +/** +* Evaluates the cumulative distribution function (CDF) for an arcsine distribution with minimum support `a` and maximum support `b` at a value `x`. +* +* @param x input value +* @param a minimum support +* @param b maximum support +* @return evaluated CDF +* +* @example +* double y = stdlib_base_arcsine_cdf( 9.0, 0.0, 10.0 ); +* // returns ~0.795 +*/ +double stdlib_base_dists_arcsine_cdf( const double x, const double a, const double b ) { + if ( + stdlib_base_is_nan( x ) || + stdlib_base_is_nan( a ) || + stdlib_base_is_nan( b ) || + a >= b + ) { + return 0.0/0.0; // NaN + } + if ( x < a ) { + return 0.0; + } + if ( x >= b ) { + return 1.0; + } + return TWO_OVER_PI * stdlib_base_asin( stdlib_base_sqrt( ( x-a ) / ( b-a ) ) ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/test/test.native.js new file mode 100644 index 00000000000..60915dc7255 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/arcsine/cdf/test/test.native.js @@ -0,0 +1,175 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 tryRequire = require( '@stdlib/utils/try-require' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); + + +// FIXTURES // + +var smallRange = require( './fixtures/julia/small_range.json' ); +var mediumRange = require( './fixtures/julia/medium_range.json' ); +var largeRange = require( './fixtures/julia/large_range.json' ); + + +// VARIABLES // + +var cdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cdf instanceof Error ) +}; + + +// 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.equal( isnan( y ), true, 'returns NaN' ); + y = cdf( 0.0, NaN, 1.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + y = cdf( 0.0, 1.0, NaN ); + t.equal( isnan( y ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'if provided `+infinity` for `x` and a valid `a` and `b`, the function returns `1`', opts, function test( t ) { + var y = cdf( PINF, 0.5, 1.0 ); + t.equal( y, 1.0, 'returns 1' ); + t.end(); +}); + +tape( 'if provided `-infinity` for `x` and a valid `a` and `b`, the function returns `0`', opts, function test( t ) { + var y = cdf( NINF, 0.5, 1.0 ); + t.equal( y, 0.0, 'returns 0' ); + t.end(); +}); + +tape( 'if provided `a >= b`, the function returns `NaN`', opts, function test( t ) { + var y; + + y = cdf( 2.0, -1.0, -1.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = cdf( 0.0, 3.0, 2.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = cdf( 0.0, 0.0, 0.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = cdf( 0.0, -0.5, -1.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given a small range `b - a`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var y; + var i; + + expected = smallRange.expected; + x = smallRange.x; + a = smallRange.a; + b = smallRange.b; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], a[i], b[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given a medium range `b - a`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var y; + var i; + + expected = mediumRange.expected; + x = mediumRange.x; + a = mediumRange.a; + b = mediumRange.b; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], a[i], b[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given a large range `b - a`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var y; + var i; + + expected = largeRange.expected; + x = largeRange.x; + a = largeRange.a; + b = largeRange.b; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], a[i], b[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +});