diff --git a/lib/node_modules/@stdlib/math/base/napi/ternary/include/stdlib/math/base/napi/ternary.h b/lib/node_modules/@stdlib/math/base/napi/ternary/include/stdlib/math/base/napi/ternary.h index 514b72add029..c918e2410b2d 100644 --- a/lib/node_modules/@stdlib/math/base/napi/ternary/include/stdlib/math/base/napi/ternary.h +++ b/lib/node_modules/@stdlib/math/base/napi/ternary/include/stdlib/math/base/napi/ternary.h @@ -144,6 +144,48 @@ }; \ NAPI_MODULE( NODE_GYP_MODULE_NAME, stdlib_math_base_napi_dii_d_init ) +/** +* Macro for registering a Node-API module exporting an interface invoking a ternary function accepting a double-precision floating-point number and two signed 64-bit integers and returning a double-precision floating-point number. +* +* @param fcn ternary function +* +* @example +* #include +* +* static double fcn( const int_64 x, const int_64 y, const double z ) { +* // ... +* } +* +* // ... +* +* // Register a Node-API module: +* STDLIB_MATH_BASE_NAPI_MODULE_LLD_D( fcn ); +*/ +#define STDLIB_MATH_BASE_NAPI_MODULE_LLD_D( fcn ) \ + static napi_value stdlib_math_base_napi_lld_d_wrapper( \ + napi_env env, \ + napi_callback_info info \ + ) { \ + return stdlib_math_base_napi_lld_d( env, info, fcn ); \ + }; \ + static napi_value stdlib_math_base_napi_lld_d_init( \ + napi_env env, \ + napi_value exports \ + ) { \ + napi_value fcn; \ + napi_status status = napi_create_function( \ + env, \ + "exports", \ + NAPI_AUTO_LENGTH, \ + stdlib_math_base_napi_lld_d_wrapper, \ + NULL, \ + &fcn \ + ); \ + assert( status == napi_ok ); \ + return fcn; \ + }; \ + NAPI_MODULE( NODE_GYP_MODULE_NAME, stdlib_math_base_napi_lld_d_init ) + /* * If C++, prevent name mangling so that the compiler emits a ternary file having undecorated names, thus mirroring the behavior of a C compiler. */ @@ -166,6 +208,11 @@ napi_value stdlib_math_base_napi_fff_f( napi_env env, napi_callback_info info, f */ napi_value stdlib_math_base_napi_dii_d( napi_env env, napi_callback_info info, double (*fcn)( double, int32_t, int32_t ) ); +/** +* Invokes a ternary function accepting a double-precision floating-point number and two signed 64-bit integers and returning a double-precision floating-point number. +*/ +napi_value stdlib_math_base_napi_lld_d( napi_env env, napi_callback_info info, double ( *fcn )( int64_t, int64_t, double ) ); + #ifdef __cplusplus } #endif diff --git a/lib/node_modules/@stdlib/math/base/napi/ternary/src/main.c b/lib/node_modules/@stdlib/math/base/napi/ternary/src/main.c index 92b89ca0999e..77a4f4831145 100644 --- a/lib/node_modules/@stdlib/math/base/napi/ternary/src/main.c +++ b/lib/node_modules/@stdlib/math/base/napi/ternary/src/main.c @@ -248,3 +248,79 @@ napi_value stdlib_math_base_napi_dii_d( napi_env env, napi_callback_info info, d return v; } + +/** +* Invokes a ternary function accepting a double-precision floating-point number and two signed 64-bit integers and returning a double-precision floating-point number. +* +* ## Notes +* +* - This function expects that the callback `info` argument provides access to the following JavaScript arguments: +* +* - `x`: input value. +* - `y`: input value. +* - `z`: input value. +* +* @param env environment under which the function is invoked +* @param info callback data +* @param fcn ternary function +* @return function return value as a Node-API double-precision floating-point number +*/ +napi_value stdlib_math_base_napi_lld_d( napi_env env, napi_callback_info info, double ( *fcn )( int64_t, int64_t, double ) ) { + napi_status status; + + size_t argc = 3; + napi_value argv[ 3 ]; + status = napi_get_cb_info( env, info, &argc, argv, NULL, NULL ); + assert( status == napi_ok ); + + if ( argc < 3 ) { + status = napi_throw_error( env, NULL, "invalid invocation. Must provide three numbers." ); + assert( status == napi_ok ); + return NULL; + } + + napi_valuetype vtype0; + status = napi_typeof( env, argv[ 0 ], &vtype0 ); + assert( status == napi_ok ); + if ( vtype0 != napi_number ) { + status = napi_throw_type_error( env, NULL, "invalid argument. First argument must be a number." ); + assert( status == napi_ok ); + return NULL; + } + + napi_valuetype vtype1; + status = napi_typeof( env, argv[ 1 ], &vtype1 ); + assert( status == napi_ok ); + if ( vtype1 != napi_number ) { + status = napi_throw_type_error( env, NULL, "invalid argument. Second argument must be a number." ); + assert( status == napi_ok ); + return NULL; + } + + napi_valuetype vtype2; + status = napi_typeof( env, argv[ 2 ], &vtype2 ); + assert( status == napi_ok ); + if ( vtype2 != napi_number ) { + status = napi_throw_type_error( env, NULL, "invalid argument. Third argument must be a number." ); + assert( status == napi_ok ); + return NULL; + } + + int64_t x; + status = napi_get_value_int64( env, argv[ 0 ], &x ); + assert( status == napi_ok ); + + int64_t y; + status = napi_get_value_int64( env, argv[ 1 ], &y ); + assert( status == napi_ok ); + + double z; + status = napi_get_value_double( env, argv[ 2 ], &z ); + assert( status == napi_ok ); + + napi_value v; + status = napi_create_double( env, fcn( x, y, z ), &v ); + assert( status == napi_ok ); + + return v; +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/README.md index 44a044f55476..bedb5f0dac06 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/README.md @@ -167,6 +167,103 @@ for ( i = 0; i < 10; i++ ) { + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/stats/base/dists/binomial/cdf.h" +``` + +#### stdlib_base_dists_binomial_cdf( k, n, p ) + +Evaluates the cumulative distribution function (CDF) for a binomial distribution. + +```c +double out = stdlib_base_dists_binomial_cdf( 5, 10, 0.5 ); +// returns ~0.623 +``` + +The function accepts the following arguments: + +- **k**: `[in] int` input value. +- **n**: `[in] int` number of trials. +- **p**: `[in] double` success probability. + +```c +double stdlib_base_dists_binomial_cdf( const int64_t k, const int64_t n, const double p ); +``` + +
+ + + + +
+ +
+ + + + + +
+### Examples + +```c +#include "stdlib/stats/base/dists/binomial/cdf.h" +#include +#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 ) { + int64_t k; + int64_t n; + double p; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + k = (int64_t)random_uniform(0.0,10.0); // Random integer between 0 and 10 + n = k+(int64_t)random_uniform(0.0,10.0); // Random integer between k and 20 + p = random_uniform(0.0,1.0); // Random double between 0.0 and 1.0 + y = stdlib_base_dists_binomial_cdf( k, n, p ); + printf( "k: %d, n: %d, p: %lf, F(k;n,p): %lf\n", k, n, p, y ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.js index 8cb36f29f7eb..f52480891cff 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.js @@ -21,8 +21,10 @@ // MODULES // var bench = require( '@stdlib/bench' ); -var ceil = require( '@stdlib/math/base/special/ceil' ); +var Float64Array = require( '@stdlib/array/float64' ); +var uniform = require( '@stdlib/random/array/uniform' ); var randu = require( '@stdlib/random/base/randu' ); +var floor = require( '@stdlib/math/base/special/floor' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var pkg = require( './../package.json' ).name; var cdf = require( './../lib' ); @@ -31,18 +33,26 @@ var cdf = require( './../lib' ); // MAIN // bench( pkg, function benchmark( b ) { + var len; + var k; var n; var p; - var x; var y; var i; + len = 100; + k = new Float64Array( len ); + n = new Float64Array( len ); + p = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + k[ i ] = floor( randu() * 11 ); + n[ i ] = floor( randu() * 21 ); + p[ i ] = randu(); + } + b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = randu() * 100.0; - n = ceil( randu()*100.0 ); - p = randu(); - y = cdf( x, n, p ); + y = cdf( k[ i % len ], n[ i % len ], p[ i % len ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } @@ -55,22 +65,22 @@ bench( pkg, function benchmark( b ) { b.end(); }); -bench( pkg+':factory', function benchmark( b ) { +bench( pkg + ':factory', function benchmark( b ) { var mycdf; var n; var p; - var x; + var k; var y; var i; - n = 80; - p = 0.4; + n = 10; + p = 0.5; mycdf = cdf.factory( n, p ); + k = uniform( 100, 0, n ); b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = randu() * 80.0; - y = mycdf( x ); + y = mycdf( k[ i % k.length ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/benchmark.native.js new file mode 100644 index 000000000000..4b3225eadb9d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/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 randint = require( '@stdlib/random/base/randu' ); +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 + '::native', opts, function benchmark( b ) { + var len; + var k; + var n; + var p; + var y; + var i; + + len = 100; + k = new Float64Array( len ); + n = new Float64Array( len ); + p = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + k[ i ] = randint( 0, 10 ); + n[ i ] = randint( k[ i ], 20 ); + p[ i ] = randu(); + } + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = cdf( k[ 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/cdf/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/c/Makefile new file mode 100644 index 000000000000..a4bd7b38fd74 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/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/cdf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/c/benchmark.c new file mode 100644 index 000000000000..c1e8aba77eff --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/benchmark/c/benchmark.c @@ -0,0 +1,142 @@ +/** +* @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 +#include "stdlib/stats/base/dists/binomial/cdf.h" +#include +#include +#include +#include +#include + +#define NAME "binomial-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; + int k[ 100 ]; + int n[ 100 ]; + double p[ 100 ]; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + k[ i ] = (int64_t)random_uniform( 0, 10 ); + n[ i ] = (int64_t)random_uniform( k[ i ], 20 ); + p[ i ] = random_uniform( 0.0, 1.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_dists_binomial_cdf( k[ 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/cdf/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/binding.gyp new file mode 100644 index 000000000000..68a1ca11d160 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/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/cdf/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/examples/c/Makefile new file mode 100644 index 000000000000..25ced822f96a --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/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/cdf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/examples/c/example.c new file mode 100644 index 000000000000..9d2bcc5df3c6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/examples/c/example.c @@ -0,0 +1,42 @@ +/** +* @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/cdf.h" +#include +#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 ) { + int64_t k; + int64_t n; + double p; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + k = (int64_t)random_uniform( 0.0, 10.0 ); + n = k + (int64_t)random_uniform( 0.0, 10 ); + p = random_uniform( 0.0, 1.0 ); + y = stdlib_base_dists_binomial_cdf( k, n, p ); + printf( "k: %ld, n: %ld, p: %lf, F(k;n,p): %lf\n", k, n, p, y ); + } +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/include.gypi new file mode 100644 index 000000000000..ecfaf82a3279 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/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': [ + ' + +/* +* 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 a binomial distribution with number of trials `n` and success probability `p` at a value `k`. +* +* @param k input value +* @param n number of trials +* @param p success probability +* @return evaluated CDF +*/ +double stdlib_base_dists_binomial_cdf( const int64_t k, const int64_t n, const double p ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_STATS_BASE_DISTS_BINOMIAL_CDF_H diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/lib/native.js new file mode 100644 index 000000000000..f3bc86a40d9d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/lib/native.js @@ -0,0 +1,60 @@ +/** +* @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 addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Evaluates the cumulative distribution function (CDF) for a binomial distribution with number of trials `n` and success probability `p` at a value `k`. +* +* @private +* @param {number} k - input value +* @param {number} n - number of trials +* @param {number} p - success probability +* @returns {Probability} evaluated CDF +* +* @example +* var y = cdf( 5, 10, 0.5 ); +* // returns ~0.623 +* +* @example +* var y = cdf( 3, 10, 0.1 ); +* // returns ~0.987 +* +* @example +* var y = cdf( 0, 10, 0.5 ); +* // returns ~0.00098 +* +* @example +* var y = cdf( 5, 10, NaN ); +* // returns NaN +*/ +function cdf( k, n, p ) { + return addon( k, n, p ); +} + + +// EXPORTS // + +module.exports = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/manifest.json new file mode 100644 index 000000000000..5b0fd4cab3fb --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/manifest.json @@ -0,0 +1,82 @@ +{ + "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/factorial", + "@stdlib/math/base/special/pow" + ] + }, + { + "task": "benchmark", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/factorial", + "@stdlib/math/base/special/pow" + ] + }, + { + "task": "examples", + "wasm": false, + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/factorial", + "@stdlib/math/base/special/pow" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/package.json index ffade0c6813f..62cbc6ff5c52 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/package.json +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/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/binomial/cdf/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/Makefile new file mode 100644 index 000000000000..7733b6180cb4 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @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 + + +# 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/binomial/cdf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/addon.c new file mode 100644 index 000000000000..7d3b3059b3a1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/addon.c @@ -0,0 +1,22 @@ +/** +* @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/math/base/napi/ternary.h" +#include "stdlib/stats/base/dists/binomial/cdf.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_LLD_D( stdlib_base_dists_binomial_cdf ) diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/main.c new file mode 100644 index 000000000000..31ac657e8bfa --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/src/main.c @@ -0,0 +1,55 @@ +/** +* @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/math/base/assert/is_nan.h" +#include "stdlib/math/base/special/factorial.h" +#include "stdlib/math/base/special/pow.h" +#include "stdlib/stats/base/dists/binomial/cdf.h" +#include +#include + +/** +* Evaluates the cumulative distribution function (CDF) for a binomial distribution with number of trials `n` and success probability `p` at a value `k`. +* +* @param k input value +* @param n number of trials +* @param p success probability +* @return evaluated CDF +* +* @example +* double y = stdlib_base_dists_binomial_cdf( 5, 10, 0.5 ); +* // returns ~0.623 +*/ +double stdlib_base_dists_binomial_cdf( const int64_t k, const int64_t n, const double p ) { + + if ( stdlib_base_is_nan( k ) || stdlib_base_is_nan( n ) || stdlib_base_is_nan( p ) || n < 0 || p < 0.0 || p > 1.0 ) { + return 0.0 / 0.0; // NaN + } + if ( k < 0 ) { + return 0.0; + } + if ( k >= n ) { + return 1.0; + } + + double cdf = 0.0; + for ( int i = 0; i <= k; i++ ) { + double binom_coeff = stdlib_base_factorial( n ) / ( stdlib_base_factorial( i ) * stdlib_base_factorial( n - i ) ); + cdf += binom_coeff * stdlib_base_pow( p, i ) * stdlib_base_pow( 1.0 - p, n - i ); + } + return cdf; +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/test/test.native.js new file mode 100644 index 000000000000..97652fd38fe0 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/binomial/cdf/test/test.native.js @@ -0,0 +1,203 @@ +/** +* @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 tryRequire = require( '@stdlib/utils/try-require' ); +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 max = require( '@stdlib/math/base/special/max' ); + + +// FIXTURES // + +var highHighRange = require( './fixtures/julia/high_high.json' ); +var highSmallRange = require( './fixtures/julia/high_small.json' ); +var smallHighRange = require( './fixtures/julia/small_high.json' ); +var smallSmallRange = require( './fixtures/julia/small_small.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 p parameter, the function returns `NaN`', opts, function test( t ) { + var y = cdf( 5, 10, NaN ); + t.equal( isnan( y ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'if provided a probability `p` outside [0,1], the function returns `NaN`', opts, function test( t ) { + var y = cdf( 5, 10, 1.5 ); + t.equal( isnan( y ), true, 'returns NaN' ); + y = cdf( 5, 10, -0.5 ); + t.equal( isnan( y ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function evaluates the cdf for `k` given a small range `n` and `p`', opts, function test( t ) { + var expected; + var delta; + var tol; + var k; + var n; + var p; + var y; + var i; + + expected = smallSmallRange.expected; + k = smallSmallRange.x; + n = smallSmallRange.n; + p = smallSmallRange.p; + for ( i = 0; i < k.length; i++ ) { + y = cdf( k[ i ], n[ i ], p[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'k: ' + k[ i ] + ', n: ' + n[ i ] + ', p: ' + p[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + + // Conditional tolerance adjustment: + if ( expected[ i ] < 1e-10 ) { + tol = 1e-5; // Increased tolerance for very small values + } else { + tol = max( 2.0 * EPS * abs( expected[ i ] ), 1e-12 ); // Relative tolerance with a floor + } + + t.ok( delta <= tol, 'within tolerance. k: ' + k[ i ] + '. n: ' + n[ i ] + '. p: ' + p[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `k` given a medium range `n` and `p`', opts, function test( t ) { + var expected; + var delta; + var tol; + var k; + var n; + var p; + var y; + var i; + expected = smallHighRange.expected; + k = smallHighRange.x; + n = smallHighRange.n; + p = smallHighRange.p; + for ( i = 0; i < k.length; i++ ) { + y = cdf( k[ i ], n[ i ], p[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'k: ' + k[ i ] + ', n: ' + n[ i ] + ', p: ' + p[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + + // Conditional tolerance adjustment: + if ( expected[ i ] < 1e-10 ) { + tol = 1e-5; // Increased tolerance for very small values + } else { + tol = max( 2.0 * EPS * abs( expected[ i ] ), 1e-12 ); // Relative tolerance with a floor + } + + t.ok( delta <= tol, 'within tolerance. k: ' + k[ i ] + '. n: ' + n[ i ] + '. p: ' + p[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `k` given a large range `n` and `p`', opts, function test( t ) { + var expected; + var delta; + var tol; + var k; + var n; + var p; + var y; + var i; + + expected = highSmallRange.expected; + n = highSmallRange.n; + k = highSmallRange.x; + p = highSmallRange.p; + for ( i = 0; i < k.length; i++ ) { + y = cdf( k[ i ], n[ i ], p[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'k: ' + k[ i ] + ', n: ' + n[ i ] + ', p: ' + p[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + + // Conditional tolerance adjustment: + if ( expected[ i ] < 1e-10 ) { + tol = 1e-5; // Increased tolerance for very small values + } else { + tol = max( 2.0 * EPS * abs( expected[ i ] ), 1e-12 ); // Relative tolerance with a floor + } + + t.ok( delta <= tol, 'within tolerance. k: ' + k[ i ] + '. n: ' + n[ i ] + '. p: ' + p[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `k` given a large range `n` and `p`', opts, function test( t ) { + var expected; + var delta; + var tol; + var k; + var n; + var p; + var y; + var i; + + expected = highHighRange.expected; + k = highHighRange.x; + n = highHighRange.n; + p = highHighRange.p; + for ( i = 0; i < k.length; i++ ) { + y = cdf( k[ i ], n[ i ], p[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'k: ' + k[ i ] + ', n: ' + n[ i ] + ', p: ' + p[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + + // Conditional tolerance adjustment: + if ( expected[ i ] < 1e-10 ) { + tol = 1e-5; // Increased tolerance for very small values + } else { + tol = max( 2.0 * EPS * abs( expected[ i ] ), 1e-12 ); // Relative tolerance with a floor + } + + t.ok( delta <= tol, 'within tolerance. k: ' + k[ i ] + '. n: ' + n[ i ] + '. p: ' + p[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' ); + } + } + t.end(); +});