diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/README.md b/lib/node_modules/@stdlib/math/base/special/betainc/README.md index 73b777db6387..5d3a7fcb828c 100644 --- a/lib/node_modules/@stdlib/math/base/special/betainc/README.md +++ b/lib/node_modules/@stdlib/math/base/special/betainc/README.md @@ -120,6 +120,106 @@ logEachMap( 'x: %0.4f, \t a: %0.4f, \t b: %0.4f, \t f(x,a,b): %0.4f', x, a, b, b + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/betainc.h" +``` + +#### stdlib_base_betainc( x, a, b, regularized, upper ) + +Evaluates the incomplete beta function. + +```c +double y = stdlib_base_betainc( 0.5, 2.0, 2.0, true, false ); +// returns 0.5 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` function parameter. +- **a**: `[in] double` function parameter. +- **b**: `[in] double` function parameter. +- **regularized**: `[in] bool` indicating if the function should evaluate the regularized incomplete beta function. +- **upper**: `[in] bool` indicating if the function should return the upper tail of the incomplete beta function. + +```c +double stdlib_base_betainc( const double x, const double a, const double b, const bool regularized, const bool upper ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/betainc.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 x; + double a; + double b; + double v; + int i; + + for ( i = 0; i < 100; i++ ) { + x = random_uniform( 0.0, 1.0 ); + a = random_uniform( 0.0, 10.0 ); + b = random_uniform( 0.0, 10.0 ); + v = stdlib_base_betainc( x, a, b, true, false ); + printf( "x: %lf, a: %lf, b: %lf, f(x,a,b): %lf\n", x, a, b, v ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.js index 105edd62d979..dc8937bd452a 100644 --- a/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.js @@ -31,15 +31,19 @@ var betainc = require( './../lib' ); // MAIN // bench( pkg, function benchmark( assert ) { + var opts; var x; var y; var a; var b; var i; - x = uniform( 100, 0.0, 1.0 ); - a = uniform( 100, EPS, 1000.0 ); - b = uniform( 100, EPS, 1000.0 ); + opts = { + 'dtype': 'float64' + }; + x = uniform( 100, 0.0, 1.0, opts ); + a = uniform( 100, EPS, 1000.0, opts ); + b = uniform( 100, EPS, 1000.0, opts ); assert.tic(); for ( i = 0; i < assert.iterations; i++ ) { diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.native.js new file mode 100644 index 000000000000..798535deb6a6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/benchmark.native.js @@ -0,0 +1,161 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var format = require( '@stdlib/string/format' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var betainc = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( betainc instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native:regularized=true,upper=true', pkg ), opts, function benchmark( assert ) { + var arrayOpts; + var x; + var y; + var a; + var b; + var i; + + arrayOpts = { + 'dtype': 'float64' + }; + x = uniform( 100, 0.0, 1.0, arrayOpts ); + a = uniform( 100, EPS, 1000.0, arrayOpts ); + b = uniform( 100, EPS, 1000.0, arrayOpts ); + + assert.tic(); + for ( i = 0; i < assert.iterations; i++ ) { + y = betainc( x[ i % x.length ], a[ i % a.length ], b[ i % b.length ], true, true ); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + } + assert.toc(); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + assert.pass( 'benchmark finished' ); + assert.end(); +}); + +bench( format( '%s::native:regularized=true,upper=false', pkg ), opts, function benchmark( assert ) { + var arrayOpts; + var x; + var y; + var a; + var b; + var i; + + arrayOpts = { + 'dtype': 'float64' + }; + x = uniform( 100, 0.0, 1.0, arrayOpts ); + a = uniform( 100, EPS, 1000.0, arrayOpts ); + b = uniform( 100, EPS, 1000.0, arrayOpts ); + + assert.tic(); + for ( i = 0; i < assert.iterations; i++ ) { + y = betainc( x[ i % x.length ], a[ i % a.length ], b[ i % b.length ], true, false ); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + } + assert.toc(); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + assert.pass( 'benchmark finished' ); + assert.end(); +}); + +bench( format( '%s::native:regularized=false,upper=true', pkg ), opts, function benchmark( assert ) { + var arrayOpts; + var x; + var y; + var a; + var b; + var i; + + arrayOpts = { + 'dtype': 'float64' + }; + x = uniform( 100, 0.0, 1.0, arrayOpts ); + a = uniform( 100, EPS, 1000.0, arrayOpts ); + b = uniform( 100, EPS, 1000.0, arrayOpts ); + + assert.tic(); + for ( i = 0; i < assert.iterations; i++ ) { + y = betainc( x[ i % x.length ], a[ i % a.length ], b[ i % b.length ], false, true ); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + } + assert.toc(); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + assert.pass( 'benchmark finished' ); + assert.end(); +}); + +bench( format( '%s::native:regularized=false,upper=false', pkg ), opts, function benchmark( assert ) { + var arrayOpts; + var x; + var y; + var a; + var b; + var i; + + arrayOpts = { + 'dtype': 'float64' + }; + x = uniform( 100, 0.0, 1.0, arrayOpts ); + a = uniform( 100, EPS, 1000.0, arrayOpts ); + b = uniform( 100, EPS, 1000.0, arrayOpts ); + + assert.tic(); + for ( i = 0; i < assert.iterations; i++ ) { + y = betainc( x[ i % x.length ], a[ i % a.length ], b[ i % b.length ], false, false ); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + } + assert.toc(); + if ( isnan( y ) ) { + assert.fail( 'should not return NaN' ); + } + assert.pass( 'benchmark finished' ); + assert.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/c/native/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/c/native/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/math/base/special/betainc/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..adfab5f8c5c9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/benchmark/c/native/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/math/base/special/betainc.h" +#include "stdlib/constants/float64/eps.h" +#include +#include +#include +#include +#include + +#define NAME "betainc" +#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 x[ 100 ]; + double a[ 100 ]; + double b[ 100 ]; + double elapsed; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( 0.0, 1.0 ); + a[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 1000.0 ); + b[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 1000.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_betainc( x[ i % 100 ], a[ i % 100 ], b[ i % 100 ], true, false ); + 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::native::%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/math/base/special/betainc/binding.gyp b/lib/node_modules/@stdlib/math/base/special/betainc/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/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/math/base/special/betainc/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/betainc/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/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/math/base/special/betainc/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/betainc/examples/c/example.c new file mode 100644 index 000000000000..a9a35d3f26f3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/examples/c/example.c @@ -0,0 +1,42 @@ +/** +* @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/math/base/special/betainc.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 x; + double a; + double b; + double v; + int i; + + for ( i = 0; i < 100; i++ ) { + x = random_uniform( 0.0, 1.0 ); + a = random_uniform( 0.0, 10.0 ); + b = random_uniform( 0.0, 10.0 ); + v = stdlib_base_betainc( x, a, b, true, false ); + printf( "x: %lf, a: %lf, b: %lf, f(x,a,b): %lf\n", x, a, b, v ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/include.gypi b/lib/node_modules/@stdlib/math/base/special/betainc/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/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': [ + ' + +/* +* 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 incomplete beta function. +*/ +double stdlib_base_betainc( const double x, const double a, const double b, const bool regularized, const bool upper ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_MATH_BASE_SPECIAL_BETAINC_H diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/lib/native.js b/lib/node_modules/@stdlib/math/base/special/betainc/lib/native.js new file mode 100644 index 000000000000..fa794fb502b5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/lib/native.js @@ -0,0 +1,60 @@ +/** +* @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 incomplete beta function. +* +* @private +* @param {Probability} x - function parameter +* @param {NonNegativeNumber} a - function parameter +* @param {NonNegativeNumber} b - function parameter +* @param {boolean} [regularized=true] - boolean indicating if the function should evaluate the regularized or non-regularized incomplete beta function +* @param {boolean} [upper=false] - boolean indicating if the function should return the upper tail of the incomplete beta function +* @returns {number} function value +* +* @example +* var y = betainc( 0.5, 2.0, 2.0 ); +* // returns 0.5 +* +* @example +* var y = betainc( 0.5, 2.0, 2.0, false ); +* // returns ~0.083 +* +* @example +* var y = betainc( 0.2, 1.0, 2.0 ); +* // returns 0.36 +*/ +function betainc( x, a, b, regularized, upper ) { + regularized = ( regularized === false ) ? false : true; // eslint-disable-line no-unneeded-ternary + upper = ( upper === true ) ? true : false; // eslint-disable-line no-unneeded-ternary + return addon( x, a, b, regularized, upper ); +} + + +// EXPORTS // + +module.exports = betainc; diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/manifest.json b/lib/node_modules/@stdlib/math/base/special/betainc/manifest.json new file mode 100644 index 000000000000..db5f96f93e5f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/manifest.json @@ -0,0 +1,77 @@ +{ + "options": { + "task": "build" + }, + "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", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/napi/export", + "@stdlib/napi/argv", + "@stdlib/napi/argv-double", + "@stdlib/napi/argv-bool", + "@stdlib/napi/create-double", + "@stdlib/math/base/special/kernel-betainc" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/kernel-betainc", + "@stdlib/constants/float64/eps" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/kernel-betainc" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/package.json b/lib/node_modules/@stdlib/math/base/special/betainc/package.json index e10af830ef5c..54490fe7877a 100644 --- a/lib/node_modules/@stdlib/math/base/special/betainc/package.json +++ b/lib/node_modules/@stdlib/math/base/special/betainc/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/math/base/special/betainc/src/Makefile b/lib/node_modules/@stdlib/math/base/special/betainc/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/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/math/base/special/betainc/src/addon.c b/lib/node_modules/@stdlib/math/base/special/betainc/src/addon.c new file mode 100644 index 000000000000..b24abec1a217 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/src/addon.c @@ -0,0 +1,45 @@ +/** +* @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/math/base/special/betainc.h" +#include "stdlib/napi/argv.h" +#include "stdlib/napi/argv_bool.h" +#include "stdlib/napi/argv_double.h" +#include "stdlib/napi/create_double.h" +#include "stdlib/napi/export.h" +#include + +/** +* Receives JavaScript callback invocation data. +* +* @param env environment under which the function is invoked +* @param info callback data +* @return Node-API value +*/ +static napi_value addon( napi_env env, napi_callback_info info ) { + STDLIB_NAPI_ARGV( env, info, argv, argc, 5 ); + STDLIB_NAPI_ARGV_DOUBLE( env, x, argv, 0 ); + STDLIB_NAPI_ARGV_DOUBLE( env, a, argv, 1 ); + STDLIB_NAPI_ARGV_DOUBLE( env, b, argv, 2 ); + STDLIB_NAPI_ARGV_BOOL( env, regularized, argv, 3 ); + STDLIB_NAPI_ARGV_BOOL( env, upper, argv, 4 ); + STDLIB_NAPI_CREATE_DOUBLE( env, stdlib_base_betainc( x, a, b, regularized, upper ), out ); + return out; +} + +STDLIB_NAPI_MODULE_EXPORT_FCN( addon ) diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/src/main.c b/lib/node_modules/@stdlib/math/base/special/betainc/src/main.c new file mode 100644 index 000000000000..75f55463a082 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/src/main.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/math/base/special/betainc.h" +#include "stdlib/math/base/special/kernel_betainc.h" +#include + +/** +* Evaluates the incomplete beta function. +* +* @param x function parameter +* @param a function parameter +* @param b function parameter +* @param regularized boolean indicating if the function should evaluate the regularized or non-regularized incomplete beta function +* @param upper boolean indicating if the function should return the upper tail of the incomplete beta function +* @return function value +* +* @example +* double y = stdlib_base_betainc( 0.5, 2.0, 2.0, true, false ); +* // returns 0.5 +*/ +double stdlib_base_betainc( const double x, const double a, const double b, const bool regularized, const bool upper ) { + double derivative; + double out; + + stdlib_base_kernel_betainc( x, a, b, regularized, upper, &out, &derivative ); + return out; +} diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/test/test.js b/lib/node_modules/@stdlib/math/base/special/betainc/test/test.js index b839f64be596..be9ac09f4cf3 100644 --- a/lib/node_modules/@stdlib/math/base/special/betainc/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/betainc/test/test.js @@ -22,8 +22,7 @@ var tape = require( 'tape' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var abs = require( '@stdlib/math/base/special/abs' ); -var EPS = require( '@stdlib/constants/float64/eps' ); +var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); var betainc = require( './../lib' ); @@ -71,84 +70,52 @@ tape( 'the function returns `NaN` negative `a` or `b`', function test( t ) { tape( 'the function evaluates the lower regularized incomplete beta function', function test( t ) { var expected; - var delta; - var tol; var i; var y; expected = lowerRegularized; for ( i = 0; i < x.length; i++ ) { y = betainc( x[i], a[i], b[i] ); - if ( y === expected[i] ) { - t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+'. a: '+a[i]+'. b: '+b[i]+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 50.0 * 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.strictEqual( isAlmostSameValue( y, expected[ i ], 85 ), true, 'returns expected value' ); } t.end(); }); tape( 'the function evaluates the lower unregularized incomplete beta function', function test( t ) { var expected; - var delta; - var tol; var i; var y; expected = lowerUnregularized; for ( i = 0; i < x.length; i++ ) { y = betainc( x[i], a[i], b[i], false ); - if ( y === expected[i] ) { - t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+'. a: '+a[i]+'. b: '+b[i]+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 80.0 * 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.strictEqual( isAlmostSameValue( y, expected[ i ], 100 ), true, 'returns expected value' ); } t.end(); }); tape( 'the function evaluates the upper regularized incomplete beta function', function test( t ) { var expected; - var delta; - var tol; var i; var y; expected = upperRegularized; for ( i = 0; i < x.length; i++ ) { y = betainc( x[i], a[i], b[i], true, true ); - if ( y === expected[i] ) { - t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+'. a: '+a[i]+'. b: '+b[i]+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 50.0 * 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.strictEqual( isAlmostSameValue( y, expected[ i ], 75 ), true, 'returns expected value' ); } t.end(); }); tape( 'the function evaluates the upper unregularized incomplete beta function', function test( t ) { var expected; - var delta; - var tol; var i; var y; expected = upperUnregularized; for ( i = 0; i < x.length; i++ ) { y = betainc( x[i], a[i], b[i], false, true ); - if ( y === expected[i] ) { - t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+'. a: '+a[i]+'. b: '+b[i]+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 80.0 * 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.strictEqual( isAlmostSameValue( y, expected[ i ], 120 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/betainc/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/betainc/test/test.native.js new file mode 100644 index 000000000000..1c5c1106a94b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/betainc/test/test.native.js @@ -0,0 +1,130 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); + + +// VARIABLES // + +var betainc = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( betainc instanceof Error ) +}; + + +// FIXTURES // + +var fixtures = require( './fixtures/cpp/output.json' ); +var lowerRegularized = fixtures.lower_regularized; +var lowerUnregularized = fixtures.lower_unregularized; +var upperRegularized = fixtures.upper_regularized; +var upperUnregularized = fixtures.upper_unregularized; +var x = fixtures.x; +var a = fixtures.a; +var b = fixtures.b; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof betainc, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns `NaN` if `x` is outside `[0,1]`', opts, function test( t ) { + var val = betainc( -0.2, 1.0, 1.0 ); + t.strictEqual( isnan( val ), true, 'returns expected value' ); + + val = betainc( 1.1, 1.0, 1.0 ); + t.strictEqual( isnan( val ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function returns `NaN` negative `a` or `b`', opts, function test( t ) { + var val = betainc( 0.5, -1.0, 1.0 ); + t.strictEqual( isnan( val ), true, 'returns expected value' ); + + val = betainc( 0.5, 1.0, -1.0 ); + t.strictEqual( isnan( val ), true, 'returns expected value' ); + + val = betainc( 0.5, -1.0, -1.0 ); + t.strictEqual( isnan( val ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function evaluates the lower regularized incomplete beta function', opts, function test( t ) { + var expected; + var i; + var y; + + expected = lowerRegularized; + for ( i = 0; i < x.length; i++ ) { + y = betainc( x[i], a[i], b[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 85 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the lower unregularized incomplete beta function', opts, function test( t ) { + var expected; + var i; + var y; + + expected = lowerUnregularized; + for ( i = 0; i < x.length; i++ ) { + y = betainc( x[i], a[i], b[i], false ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 100 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the upper regularized incomplete beta function', opts, function test( t ) { + var expected; + var i; + var y; + + expected = upperRegularized; + for ( i = 0; i < x.length; i++ ) { + y = betainc( x[i], a[i], b[i], true, true ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 75 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the upper unregularized incomplete beta function', opts, function test( t ) { + var expected; + var i; + var y; + + expected = upperUnregularized; + for ( i = 0; i < x.length; i++ ) { + y = betainc( x[i], a[i], b[i], false, true ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 120 ), true, 'returns expected value' ); + } + t.end(); +});