diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/README.md b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/README.md index 64d19af9582a..7c24475ed29f 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/README.md @@ -151,6 +151,113 @@ logEachMap( 'r: %0.4f, n: %0.4f, p: %0.4f, Q(r;n,p): %0.4f', r, n, p, quantile ) + + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/stats/base/dists/binomial/quantile.h" +``` + +#### stdlib_base_dists_binomial_quantile( r, n, p ) + +Returns the [quantile function][quantile-function] for a [binomial][binomial-distribution] distribution with number of trials `n` and success probability `p` at value `r`. + +```c +double out = stdlib_base_dists_binomial_quantile( 0.4, 20, 0.2 ); +// returns 3 +``` + +The function accepts the following arguments: + +- **r**: `[in] double` input probability. +- **n**: `[in] double` number of trials. +- **p**: `[in] double` success probability. + +```c +double stdlib_base_dists_binomial_quantile( const double r, const double n, const double p ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/stats/base/dists/binomial/quantile.h" +#include "stdlib/math/base/special/ceil.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 n; + double p; + double r; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + n = stdlib_base_ceil( random_uniform( 0.0, 100.0 ) ); + p = random_uniform( 0.0, 1.0 ); + r = random_uniform( 0.0, 1.0 ); + y = stdlib_base_dists_binomial_quantile( r, n, p ); + printf( "r: %lf, n: %lf, p: %lf, Q(r;n,p): %lf\n", r, n, p, y ); + } + + return 0; +} +``` + +
+ + + +
+ + + + + +
+ +
+ + +
diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/benchmark.native.js new file mode 100644 index 000000000000..ba2c4941c84c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/benchmark.native.js @@ -0,0 +1,74 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 tryRequire = require( '@stdlib/utils/try-require' ); +var ceil = require( '@stdlib/math/base/special/ceil' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var quantile = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( quantile instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var len; + var n; + var p; + var r; + var y; + var i; + + len = 100; + n = new Float64Array( len ); + p = new Float64Array( len ); + r = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + n[ i ] = ceil( randu()*100.0 ); + p[ i ] = randu(); + r[ i ] = randu(); + } + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = quantile( r[ i % len ], n[ i % len ], p[ 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/binomial/quantile/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/c/Makefile new file mode 100644 index 000000000000..a4bd7b38fd74 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/binomial/quantile/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/c/benchmark.c new file mode 100644 index 000000000000..8552c8a0e771 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/benchmark/c/benchmark.c @@ -0,0 +1,143 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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/binomial/quantile.h" +#include "stdlib/math/base/special/ceil.h" +#include +#include +#include +#include +#include + +#define NAME "binomial-quantile" +#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 n[ 100 ]; + double p[ 100 ]; + double r[ 100 ]; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + n[ i ] = stdlib_base_ceil( random_uniform( 0.0, 100.0 ) ); + p[ i ] = random_uniform( 0.0, 1.0 ); + r[ i ] = random_uniform( 0.0, 1.0); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_dists_binomial_quantile( r[ i % 100 ], n[ i % 100 ], p[ 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/binomial/quantile/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/binding.gyp new file mode 100644 index 000000000000..68a1ca11d160 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/binomial/quantile/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/docs/types/index.d.ts index b16e24a6c204..8e1881ab2526 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/docs/types/index.d.ts @@ -119,14 +119,14 @@ interface Quantile { /** * Binomial distribution quantile function. * -* @param p - input value +* @param r - input value * @param n - number of trials * @param p - success probability * @returns evaluated quantile function * * @example * var y = quantile( 0.4, 20, 0.2 ); -* // returns 2 +* // returns 3 * * y = quantile( 0.8, 20, 0.2 ); * // returns 5 diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/examples/c/Makefile new file mode 100644 index 000000000000..25ced822f96a --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/binomial/quantile/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/examples/c/example.c new file mode 100644 index 000000000000..607f2d560c82 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/examples/c/example.c @@ -0,0 +1,45 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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/binomial/quantile.h" +#include "stdlib/math/base/special/ceil.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 n; + double p; + double r; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + n = stdlib_base_ceil( random_uniform( 0.0, 100.0 ) ); + p = random_uniform( 0.0, 1.0 ); + r = random_uniform( 0.0, 1.0 ); + y = stdlib_base_dists_binomial_quantile( r, n, p ); + printf( "r: %lf, n: %lf, p: %lf, Q(r;n,p): %lf\n", r, n, p, y ); + } + + return 0; +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/include.gypi new file mode 100644 index 000000000000..ecfaf82a3279 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2025 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': [ + ' 1.0 || + r < 0.0 || + r > 1.0 || + !stdlib_base_is_nonnegative_integer( n ) || + n == STDLIB_CONSTANT_FLOAT64_PINF + ) { + return 0.0 / 0.0; + } + + if ( r == 1.0 || p == 1.0 ) { + return n; + } + if ( r == 0.0 || p == 0.0 || n == 0 ) { + return 0.0; + } + + // Cornish-Fisher expansion: + double mu = n * p; + double sigma = stdlib_base_sqrt( n * p * ( 1.0 - p ) ); + double sigmaInv = 1.0 / sigma; + double x, x2, corr, guess; + + if ( r < 0.5 ) { + x = -stdlib_base_erfcinv( 2.0 * r ) * STDLIB_CONSTANT_FLOAT64_SQRT_TWO; + } else { + x = stdlib_base_erfcinv( 2.0 * ( 1.0 - r ) ) * STDLIB_CONSTANT_FLOAT64_SQRT_TWO; + } + x2 = x * x; + + // Skewness correction: + corr = x + ( sigmaInv * ( x2 - 1.0 ) / 6.0 ); + guess = stdlib_base_round( mu + ( sigma * corr ) ); + + // Search for the exact quantile: + if ( stdlib_base_dists_binomial_cdf( guess, n, p ) >= r ) { + // Search left + while ( guess > 0 && stdlib_base_dists_binomial_cdf( guess - 1, n, p ) >= r ) { + guess -= 1; + } + return guess; + } else { + // Search right + guess += 1; + while ( stdlib_base_dists_binomial_cdf( guess, n, p ) < r ) { + guess += 1; + } + return guess; + } +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/test/test.native.js new file mode 100644 index 000000000000..565d05123bd3 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/quantile/test/test.native.js @@ -0,0 +1,249 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var quantile = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( quantile instanceof Error ) +}; + + +// FIXTURES // + +var smallSmall = require( './fixtures/julia/small_small.json' ); +var smallHigh = require( './fixtures/julia/small_high.json' ); +var highSmall = require( './fixtures/julia/high_small.json' ); +var highHigh = require( './fixtures/julia/high_high.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof quantile, '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 = quantile( NaN, 20, 0.5 ); + t.equal( isnan( y ), true, 'returns NaN' ); + y = quantile( 0.0, NaN, 0.5 ); + t.equal( isnan( y ), true, 'returns NaN' ); + y = quantile( 0.0, 20, NaN ); + t.equal( isnan( y ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'if provided a number outside `[0,1]` for `r` and a valid `n` and `p`, the function returns `NaN`', opts, function test( t ) { + var y = quantile( 1.1, 20, 0.5 ); + t.equal( isnan( y ), true, 'returns true' ); + y = quantile( -0.1, 20, 0.5 ); + t.equal( isnan( y ), true, 'returns true' ); + t.end(); +}); + +tape( 'if provided a `n` which is not a nonnegative integer, the function returns `NaN`', opts, function test( t ) { + var y; + + y = quantile( 0.5, 10.5, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, 1.5, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, PINF, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, NINF, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, -2.0, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, -0.5, 0.8 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + t.end(); +}); + +tape( 'if provided a success probability `p` outside `[0,1]`, the function returns `NaN`', opts, function test( t ) { + var y; + + y = quantile( 0.5, 20, 1.5 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, 20, -1.0 ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, 20, NINF ); + t.equal( isnan( y ), true, 'returns NaN' ); + + y = quantile( 0.5, 20, PINF ); + t.equal( isnan( y ), true, 'returns NaN' ); + + t.end(); +}); + +tape( 'if `p` equals `1.0`, the function evaluates a degenerate distribution centered at `n`', opts, function test( t ) { + var y; + + y = quantile( 0.3, 8, 1.0 ); + t.equal( y, 8, 'returns 8 for r inside [0,1]' ); + + y = quantile( 0.9, 8, 1.0 ); + t.equal( y, 8, 'returns 8 for r inside [0,1]' ); + + y = quantile( 1.1, 8, 1.0 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + y = quantile( -0.1, 8, 1.0 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + t.end(); +}); + +tape( 'given valid parameters, the function returns 0 as the 0% quantile', opts, function test( t ) { + var y = quantile( 0.0, 8, 0.5 ); + t.equal( y, 0, 'returns 0' ); + t.end(); +}); + +tape( 'given valid parameters, the function returns n as the 100% quantile', opts, function test( t ) { + var y = quantile( 1.0, 8, 0.5 ); + t.equal( y, 8, 'returns 8' ); + t.end(); +}); + +tape( 'if `p` or `n` equals `0`, the function evaluates a degenerate distribution centered at `0.0`', opts, function test( t ) { + var y; + + y = quantile( 0.3, 8, 0.0 ); + t.equal( y, 0, 'returns 0 for r inside [0,1]' ); + + y = quantile( 0.9, 8, 0.0 ); + t.equal( y, 0, 'returns 0 for r inside [0,1]' ); + + y = quantile( 1.1, 8, 0.0 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + y = quantile( -0.1, 8, 0.0 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + y = quantile( 0.3, 0, 0.5 ); + t.equal( y, 0, 'returns 0 for r inside [0,1]' ); + + y = quantile( 0.9, 0, 0.5 ); + t.equal( y, 0, 'returns 0 for r inside [0,1]' ); + + y = quantile( 1.1, 0, 0.5 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + y = quantile( -0.1, 0, 0.5 ); + t.equal( isnan( y ), true, 'returns NaN for r outside [0,1]' ); + + t.end(); +}); + +tape( 'the function evaluates the quantile for `r` given large `n` and `p`', opts, function test( t ) { + var expected; + var n; + var r; + var p; + var y; + var i; + + expected = highHigh.expected; + r = highHigh.r; + n = highHigh.n; + p = highHigh.p; + for ( i = 0; i < r.length; i++ ) { + y = quantile( r[i], n[i], p[i] ); + t.equal( y, expected[i], 'r: '+r[i]+', n: '+n[i]+', p: '+p[i]+', y: '+y+', expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function evaluates the quantile for `r` given large `n` and small `p`', opts, function test( t ) { + var expected; + var n; + var r; + var p; + var y; + var i; + + expected = highSmall.expected; + r = highSmall.r; + n = highSmall.n; + p = highSmall.p; + for ( i = 0; i < r.length; i++ ) { + y = quantile( r[i], n[i], p[i] ); + t.equal( y, expected[i], 'r: '+r[i]+', n: '+n[i]+', p: '+p[i]+', y: '+y+', expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function evaluates the quantile for `r` given small `n` and large `p`', opts, function test( t ) { + var expected; + var n; + var r; + var p; + var y; + var i; + + expected = smallHigh.expected; + r = smallHigh.r; + n = smallHigh.n; + p = smallHigh.p; + for ( i = 0; i < r.length; i++ ) { + y = quantile( r[i], n[i], p[i] ); + t.equal( y, expected[i], 'r: '+r[i]+', n: '+n[i]+', p: '+p[i]+', y: '+y+', expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function evaluates the quantile for `r` given small `n` and `p`', opts, function test( t ) { + var expected; + var n; + var r; + var p; + var y; + var i; + + expected = smallSmall.expected; + r = smallSmall.r; + n = smallSmall.n; + p = smallSmall.p; + for ( i = 0; i < r.length; i++ ) { + y = quantile( r[i], n[i], p[i] ); + t.equal( y, expected[i], 'r: '+r[i]+', n: '+n[i]+', p: '+p[i]+', y: '+y+', expected: '+expected[i] ); + } + t.end(); +});