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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/LICENSE b/lib/node_modules/@stdlib/math/base/special/ellipkf/LICENSE new file mode 100644 index 000000000000..4c56b76be3d9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/LICENSE @@ -0,0 +1,210 @@ + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Shah, and others: + +https://github.com/JuliaMath/SpecialFunctions.jl/graphs/contributors + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/README.md b/lib/node_modules/@stdlib/math/base/special/ellipkf/README.md new file mode 100644 index 000000000000..9e41fc8c4aa8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/README.md @@ -0,0 +1,230 @@ + + +# ellipkf + +> Compute the [complete elliptic integral of the first kind][elliptic-integral] for a single-precision floating-point number. + +
+ +The [complete elliptic integral of the first kind][elliptic-integral] is defined as + + + +```math +K(m)=\int_0^\tfrac{\pi}{2} \frac{d\theta}{\sqrt{1-m \sin^2\theta}} +``` + + + +where the parameter `m` is related to the modulus `k` by `m = k^2`. + +
+ + + +
+ +## Usage + +```javascript +var ellipkf = require( '@stdlib/math/base/special/ellipkf' ); +``` + +#### ellipkf( m ) + +Computes the [complete elliptic integral of the first kind][elliptic-integral] for a single-precision floating-point number. + +```javascript +var v = ellipkf( 0.5 ); +// returns ~1.854 + +v = ellipkf( -1.0 ); +// returns ~1.311 + +v = ellipkf( 2.0 ); +// returns NaN + +v = ellipkf( Infinity ); +// returns NaN + +v = ellipkf( -Infinity ); +// returns NaN + +v = ellipkf( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Notes + +- This function is valid for `-∞ < m <= 1`. + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var ellipkf = require( '@stdlib/math/base/special/ellipkf' ); + +var opts = { + 'dtype': 'float32' +}; +var m = uniform( 100, -1.0, 1.0, opts ); + +logEachMap( 'ellipkf(%0.4f) = %0.4f', m, ellipkf ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/ellipkf.h" +``` + +#### stdlib_base_ellipkf( m ) + +Computes the [complete elliptic integral of the first kind][elliptic-integral] for a single-precision floating-point number. + +```c +float out = stdlib_base_ellipkf( 0.5f ); +// returns ~1.854f + +out = stdlib_base_ellipkf( -1.0f ); +// returns ~1.311f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value. + +```c +float stdlib_base_ellipkf( const float m ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/ellipkf.h" +#include +#include + +int main( void ) { + float m; + float v; + int i; + + for ( i = 0; i < 100; i++ ) { + m = -1.0f + ( ( (float)rand() / (float)RAND_MAX ) * 2.0f ); + v = stdlib_base_ellipkf( m ); + printf( "ellipkf(%f) = %f\n", m, v ); + } +} +``` + +
+ + + +
+ + + +* * * + +
+ +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.js new file mode 100644 index 000000000000..52cf61bfe1ed --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.js @@ -0,0 +1,54 @@ +/** +* @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 bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var ellipkf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -1.0, 1.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = ellipkf( x[ i%x.length ] ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.native.js new file mode 100644 index 000000000000..6690ed6f2f48 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/benchmark.native.js @@ -0,0 +1,63 @@ +/** +* @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 uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var ellipkf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( ellipkf instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -1.0, 1.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = ellipkf( x[ i%x.length ] ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/c/native/Makefile new file mode 100644 index 000000000000..a4bd7b38fd74 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/c/native/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/math/base/special/ellipkf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..210c39ff1b9a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @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/special/ellipkf.h" +#include +#include +#include +#include +#include + +#define NAME "ellipkf" +#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 float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + double t; + float y; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -1.0f, 1.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_ellipkf( x[ 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::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/ellipkf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/ellipkf/binding.gyp new file mode 100644 index 000000000000..68a1ca11d160 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/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/math/base/special/ellipkf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/repl.txt new file mode 100644 index 000000000000..eb25021fbbf1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/repl.txt @@ -0,0 +1,33 @@ + +{{alias}}( m ) + Computes the complete elliptic integral of the first kind for a + single-precision floating-point number. + + Parameters + ---------- + m: number + Input value. + + Returns + ------- + y: number + Function value. + + Examples + -------- + > var y = {{alias}}( 0.5 ) + ~1.854 + > y = {{alias}}( -1.0 ) + ~1.311 + > y = {{alias}}( 2.0 ) + NaN + > y = {{alias}}( {{alias:@stdlib/constants/float32/pinf}} ) + NaN + > y = {{alias}}( {{alias:@stdlib/constants/float32/ninf}} ) + NaN + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/index.d.ts new file mode 100644 index 000000000000..03a6f34c31f9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/index.d.ts @@ -0,0 +1,51 @@ +/* +* @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. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the complete elliptic integral of the first kind for a single-precision floating-point number. +* +* @param m - input value +* @returns evaluated elliptic integral +* +* @example +* var v = ellipkf( 0.5 ); +* // returns ~1.854 +* +* v = ellipkf( 2.0 ); +* // returns NaN +* +* v = ellipkf( -1.0 ); +* // returns ~1.311 +* +* v = ellipkf( Infinity ); +* // returns NaN +* +* v = ellipkf( -Infinity ); +* // returns NaN +* +* v = ellipkf( NaN ); +* // returns NaN +*/ +declare function ellipkf( m: number ): number; + + +// EXPORTS // + +export = ellipkf; diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/test.ts new file mode 100644 index 000000000000..85fa40a2d8ab --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @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. +*/ + +import ellipkf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + ellipkf( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + ellipkf( true ); // $ExpectError + ellipkf( false ); // $ExpectError + ellipkf( null ); // $ExpectError + ellipkf( undefined ); // $ExpectError + ellipkf( '5' ); // $ExpectError + ellipkf( [] ); // $ExpectError + ellipkf( {} ); // $ExpectError + ellipkf( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + ellipkf(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/c/Makefile new file mode 100644 index 000000000000..25ced822f96a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/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/math/base/special/ellipkf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/c/example.c new file mode 100644 index 000000000000..00b3391d6d16 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/c/example.c @@ -0,0 +1,33 @@ +/** +* @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/special/ellipkf.h" +#include +#include + +int main( void ) { + float m; + float v; + int i; + + for ( i = 0; i < 100; i++ ) { + m = -1.0f + ( ( (float)rand() / (float)RAND_MAX ) * 2.0f ); + v = stdlib_base_ellipkf( m ); + printf( "ellipkf(%f) = %f\n", m, v ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/index.js new file mode 100644 index 000000000000..b1f1fb2f73e7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/examples/index.js @@ -0,0 +1,30 @@ +/** +* @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'; + +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var ellipkf = require( './../lib' ); + +var opts = { + 'dtype': 'float32' +}; +var m = uniform( 100, -1.0, 1.0, opts ); + +logEachMap( 'ellipkf(%0.4f) = %0.4f', m, ellipkf ); diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/include.gypi b/lib/node_modules/@stdlib/math/base/special/ellipkf/include.gypi new file mode 100644 index 000000000000..ecfaf82a3279 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/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': [ + '=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special", + "elliptic", + "integral", + "complete", + "ellipk", + "ellipkf", + "float" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/ellipkf/src/Makefile new file mode 100644 index 000000000000..7733b6180cb4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/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/math/base/special/ellipkf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/ellipkf/src/addon.c new file mode 100644 index 000000000000..e1cf60d6d6c1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/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/special/ellipkf.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_ellipkf ) diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/src/main.c b/lib/node_modules/@stdlib/math/base/special/ellipkf/src/main.c new file mode 100644 index 000000000000..452fe30f74e4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/src/main.c @@ -0,0 +1,35 @@ +/** +* @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/special/ellipkf.h" +#include "stdlib/math/base/special/ellipk.h" + +/** +* Computes the complete elliptic integral of the first kind for a single-precision floating-point number. +* +* @param x input value +* @return evaluated elliptic integral +* +* @example +* float out = stdlib_base_ellipkf( 0.5f ); +* // returns ~1.854f +*/ +float stdlib_base_ellipkf( const float m ) { + // TODO: Replace with a better implementation once available: + return (float)stdlib_base_ellipk( (double)m ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/close_to_unity.json b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/close_to_unity.json new file mode 100644 index 000000000000..1ada45ed864b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/close_to_unity.json @@ -0,0 +1 @@ +{"x": [0.9900000095367432, 0.9900100231170654, 0.9900200366973877, 0.99003005027771, 0.9900400638580322, 0.9900500178337097, 0.990060031414032, 0.9900700449943542, 0.9900800585746765, 0.9900900721549988, 0.990100085735321, 0.9901100993156433, 0.9901201128959656, 0.9901301264762878, 0.9901401400566101, 0.9901501536369324, 0.9901601672172546, 0.9901701807975769, 0.9901801347732544, 0.9901901483535767, 0.9902001619338989, 0.9902101755142212, 0.9902201890945435, 0.9902302026748657, 0.990240216255188, 0.9902502298355103, 0.9902602434158325, 0.9902702569961548, 0.990280270576477, 0.9902902841567993, 0.9903002977371216, 0.9903102517127991, 0.9903202652931213, 0.9903302788734436, 0.9903402924537659, 0.9903503060340881, 0.9903603196144104, 0.9903703331947327, 0.9903803467750549, 0.9903903603553772, 0.9904003739356995, 0.9904103875160217, 0.990420401096344, 0.9904304146766663, 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3.332533836364746, 3.356356143951416, 3.3814127445220947, 3.4078369140625, 3.4357850551605225, 3.4654407501220703, 3.4970240592956543, 3.5308022499084473, 3.567094564437866, 3.6063039302825928, 3.648935556411743, 3.6956379413604736]} \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/runner.py new file mode 100644 index 000000000000..7fa080c553cb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/fixtures/python/runner.py @@ -0,0 +1,80 @@ +#!/usr/bin/env python +# +# @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. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.special import ellipk + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(x, name): + """Generate fixture data and write to file. + + # Arguments + + * `x`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(-1000, 1000, 2001) + python> gen(x, './data.json') + ``` + """ + y = ellipk(x) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "expected": y.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding="utf-8") as outfile: + json.dump(data, outfile) + + +def main(): + """Generate fixture data.""" + x = np.linspace(0, 0.99, 1000, dtype=np.float32) + gen(x, "medium_positive.json") + + x = np.linspace(0.99, 0.999999, 1000, dtype=np.float32) + gen(x, "close_to_unity.json") + + x = np.linspace(-1.0, 0, 1000, dtype=np.float32) + gen(x, "medium_negative.json") + + x = np.linspace(-1.0e10, -1.0, 1000, dtype=np.float32) + gen(x, "large_negative.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.js b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.js new file mode 100644 index 000000000000..b279c965ab50 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.js @@ -0,0 +1,145 @@ +/** +* @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 tape = require( 'tape' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var ulpdiff = require( '@stdlib/number/float32/base/ulp-difference' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var HALF_PI = require( '@stdlib/constants/float32/half-pi' ); +var ellipkf = require( './../lib' ); + + +// FIXTURES // + +var mediumPositive = require( './fixtures/python/medium_positive.json' ); +var closeToUnity = require( './fixtures/python/close_to_unity.json' ); +var mediumNegative = require( './fixtures/python/medium_negative.json' ); +var largeNegative = require( './fixtures/python/large_negative.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof ellipkf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (medium positive values)', function test( t ) { + var expected; + var x; + var y; + var i; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (values close to positive unity)', function test( t ) { + var expected; + var x; + var y; + var i; + + expected = closeToUnity.expected; + x = closeToUnity.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (medium negative values)', function test( t ) { + var expected; + var x; + var y; + var i; + + expected = mediumNegative.expected; + x = mediumNegative.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (large negative values)', function test( t ) { + var expected; + var x; + var y; + var i; + + expected = largeNegative.expected; + x = largeNegative.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( ulpdiff( y, expected[ i ] ) <= 1.0, true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided values larger than `1.0`', function test( t ) { + var v = ellipkf( f32( 1.01 ) ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `+infinity` if provided `1.0`', function test( t ) { + var v = ellipkf( f32( 1.0 ) ); + t.strictEqual( v, PINF, 'return expected value' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided `+infinity`', function test( t ) { + var v = ellipkf( PINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided `-infinity`', function test( t ) { + var v = ellipkf( NINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `Ï€/2` if provided `0`', function test( t ) { + var v = ellipkf( f32( 0.0 ) ); + t.strictEqual( v, HALF_PI, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.native.js new file mode 100644 index 000000000000..8316dffe62df --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ellipkf/test/test.native.js @@ -0,0 +1,154 @@ +/** +* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var ulpdiff = require( '@stdlib/number/float32/base/ulp-difference' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var HALF_PI = require( '@stdlib/constants/float32/half-pi' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var mediumPositive = require( './fixtures/python/medium_positive.json' ); +var closeToUnity = require( './fixtures/python/close_to_unity.json' ); +var mediumNegative = require( './fixtures/python/medium_negative.json' ); +var largeNegative = require( './fixtures/python/large_negative.json' ); + + +// VARIABLES // + +var ellipkf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( ellipkf instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof ellipkf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (medium positive values)', opts, function test( t ) { + var expected; + var x; + var y; + var i; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (values close to positive unity)', opts, function test( t ) { + var expected; + var x; + var y; + var i; + + expected = closeToUnity.expected; + x = closeToUnity.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (medium negative values)', opts, function test( t ) { + var expected; + var x; + var y; + var i; + + expected = mediumNegative.expected; + x = mediumNegative.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( y, expected[ i ], 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the complete elliptic integral of the first kind (large negative values)', opts, function test( t ) { + var expected; + var x; + var y; + var i; + + expected = largeNegative.expected; + x = largeNegative.x; + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = ellipkf( x[ i ] ); + t.strictEqual( ulpdiff( y, expected[ i ] ) <= 1.0, true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided values larger than `1.0`', opts, function test( t ) { + var v = ellipkf( f32( 1.01 ) ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `+infinity` if provided `1.0`', opts, function test( t ) { + var v = ellipkf( f32( 1.0 ) ); + t.strictEqual( v, PINF, 'return expected value' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided `+infinity`', opts, function test( t ) { + var v = ellipkf( PINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided `-infinity`', opts, function test( t ) { + var v = ellipkf( NINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `Ï€/2` if provided `0`', opts, function test( t ) { + var v = ellipkf( f32( 0.0 ) ); + t.strictEqual( v, HALF_PI, 'returns expected value' ); + t.end(); +}); diff --git a/medium_negative.json b/medium_negative.json new file mode 100644 index 000000000000..169e3880e216 --- /dev/null +++ b/medium_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/medium_positive.json b/medium_positive.json new file mode 100644 index 000000000000..7cb881ed3a46 --- /dev/null +++ b/medium_positive.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/runner b/runner new file mode 100755 index 000000000000..4e9f7fc98247 Binary files /dev/null and b/runner differ