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IN NO EVENT +SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN 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/besselj0f/README.md b/lib/node_modules/@stdlib/math/base/special/besselj0f/README.md new file mode 100644 index 000000000000..22079876ed4a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/README.md @@ -0,0 +1,210 @@ + + +# j0f + +> Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +
+ +The [Bessel function of the first kind][bessel-first-kind] of order zero is defined as + + + +```math +J_0f (x) = \frac{1}{2 \pi} \int_{-\pi}^\pi e^{- i x \sin(\tau)} \,d\tau. +``` + + + + + +
+ + + +
+ +## Usage + +```javascript +var j0f = require( '@stdlib/math/base/special/besselj0f' ); +``` + +#### j0f( x ) + +Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +```javascript +var v = j0f( 0.0 ); +// returns 1.0 + +v = j0f( 1.0 ); +// returns ~0.765 + +v = j0f( Infinity ); +// returns 0.0 + +v = j0f( -Infinity ); +// returns 0.0 + +v = j0f( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselj0f = require( '@stdlib/math/base/special/besselj0f' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, 0.0, 100.0, opts ); + +logEachMap( 'besselj0f(%0.4f) = %0.4f', x, besselj0f ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/besselj0f.h" +``` + +#### stdlib_base_besselj0f( x ) + +Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +```c +float out = stdlib_base_besselj0f( 0.0f ); +// returns 1.0f + +out = stdlib_base_besselj0f( 1.0f ); +// returns ~0.765f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value. + +```c +float stdlib_base_besselj0f( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/besselj0f.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f }; + + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselj0f( x[ i ] ); + printf( "besselj0f(%f) = %f\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js new file mode 100644 index 000000000000..b13ce7a70c96 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js @@ -0,0 +1,54 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var 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 j0f = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, 0.0, 100000.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = j0f( 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/besselj0f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js new file mode 100644 index 000000000000..61b37c3e469b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var j0f = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( j0f instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg ), opts, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, 0.0, 100000.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = j0f( 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/besselj0f/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile new file mode 100644 index 000000000000..928de45a1a06 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile @@ -0,0 +1,127 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles C source files. +# +# @param {string} [C_COMPILER] - C compiler +# @param {string} [CFLAGS] - C compiler flags +# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler +# @param {string} CFLAGS - C compiler flags +# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm + +#/ +# 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/besselj0f/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c new file mode 100644 index 000000000000..a51dc615dedd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c @@ -0,0 +1,148 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `besselj0f`. +* +* ## Notes +* +* * We assume the [GNU C library][2], which provides additional exotic functions. +* +* [1]: http://en.cppreference.com/w/c/numeric/math +* [2]: https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html +*/ + +#include +#include +#include +#include +#include + +#define NAME "besselj0f" +#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; + float y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( 0.0f, 100000.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = j0f( 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::%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/besselj0f/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..b3e7bf4ed949 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include +#include +#include +#include +#include + +#define NAME "besselj0f" +#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; + float y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( 0.0f, 100000.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_besselj0f( 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/besselj0f/binding.gyp b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt new file mode 100644 index 000000000000..9da4cc0d169f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt @@ -0,0 +1,29 @@ + +{{alias}}( x ) + Computes the Bessel function of the first kind of order zero. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Function value. + + Examples + -------- + > var y = {{alias}}( 0.0 ) + 1.0 + > y = {{alias}}( 1.0 ) + ~0.765 + > y = {{alias}}( {{alias:@stdlib/constants/float32/pinf}} ) + 0.0 + > y = {{alias}}( {{alias:@stdlib/constants/float32/ninf}} ) + 0.0 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts new file mode 100644 index 000000000000..2c5d9539339c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @param x - input value +* @returns evaluated Bessel function +* +* @example +* var v = j0f( 0.0 ); +* // returns 1.0 +* +* @example +* var v = j0f( 1.0 ); +* // returns ~0.765 +* +* @example +* var v = j0f( Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( -Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( NaN ); +* // returns NaN +*/ +declare function j0f( x: number ): number; + + +// EXPORTS // + +export = j0f; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts new file mode 100644 index 000000000000..60edbc7b0583 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import j0f = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + j0f( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + j0f( true ); // $ExpectError + j0f( false ); // $ExpectError + j0f( null ); // $ExpectError + j0f( undefined ); // $ExpectError + j0f( '5' ); // $ExpectError + j0f( [] ); // $ExpectError + j0f( {} ); // $ExpectError + j0f( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + j0f(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c new file mode 100644 index 000000000000..d83ada6a4577 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c @@ -0,0 +1,30 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f }; + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselj0f( x[ i ] ); + printf( "besselj0f(%f) = %f\n", x[ i ], y ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js new file mode 100644 index 000000000000..fba22ab7fba0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js @@ -0,0 +1,30 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselj0f = require( './../lib' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, 0.0, 100.0, opts ); + +logEachMap( 'besselj0f(%0.4f) = %0.4f', x, besselj0f ); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/include.gypi b/lib/node_modules/@stdlib/math/base/special/besselj0f/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + '=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special", + "bessel", + "j0f", + "number" + ], + "__stdlib__": { + "scaffold": { + "$schema": "math/base@v1.0", + "base_alias": "besselj0f", + "alias": "besselj0f", + "pkg_desc": "compute the Bessel function of the first kind of order zero for a single-precision floating-point number", + "desc": "computes the Bessel function of the first kind of order zero for a single-precision floating-point number", + "short_desc": "Bessel function of the first kind of order zero", + "parameters": [ + { + "name": "x", + "desc": "input value", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "float", + "dtype": "float32" + }, + "domain": [ + { + "min": "-infinity", + "max": "infinity" + } + ], + "rand": { + "prng": "random/base/uniform", + "parameters": [ + -100, + 100 + ] + }, + "example_values": [ + -250.3, + 0.12, + 3.7, + -5.9, + 10.4, + -1.01, + 42, + -77.6, + 0, + 6.28, + -19.1, + 85.2, + -33.3, + 1.5, + -0.43, + 9.81, + -123.4, + 57.9, + -2.7, + 1000 + ] + } + ], + "output_policy": "real_floating_point_and_generic", + "returns": { + "desc": "evaluated Bessel function", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "float", + "dtype": "float32" + } + }, + "keywords": [ + "bessel", + "j0f" + ], + "extra_keywords": [] + } + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js new file mode 100644 index 000000000000..cc4dc07d1a8e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js @@ -0,0 +1,215 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* +* This script compiles modules for evaluating polynomial functions. If any polynomial coefficients change, this script should be rerun to update the compiled files. +*/ +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var readFileSync = require( '@stdlib/fs/read-file' ).sync; +var writeFileSync = require( '@stdlib/fs/write-file' ).sync; +var currentYear = require( '@stdlib/time/current-year' ); +var licenseHeader = require( '@stdlib/_tools/licenses/header' ); +var compile = require( '@stdlib/math/base/tools/evalrational-compile' ); +var compileC = require( '@stdlib/math/base/tools/evalrational-compile-c' ); +var substringBefore = require( '@stdlib/string/substring-before' ); +var substringAfter = require( '@stdlib/string/substring-after' ); +var format = require( '@stdlib/string/format' ); + + +// VARIABLES // + +// Polynomial coefficients ordered in ascending degree... +var P1 = [ + -4.1298668500990866786e+11, + 2.7282507878605942706e+10, + -6.2140700423540120665e+08, + 6.6302997904833794242e+06, + -3.6629814655107086448e+04, + 1.0344222815443188943e+02, + -1.2117036164593528341e-01 +]; + +var Q1 = [ + 2.3883787996332290397e+12, + 2.6328198300859648632e+10, + 1.3985097372263433271e+08, + 4.5612696224219938200e+05, + 9.3614022392337710626e+02, + 1.0, + 0.0 +]; + +var P2 = [ + -1.8319397969392084011e+03, + -1.2254078161378989535e+04, + -7.2879702464464618998e+03, + 1.0341910641583726701e+04, + 1.1725046279757103576e+04, + 4.4176707025325087628e+03, + 7.4321196680624245801e+02, + 4.8591703355916499363e+01 +]; + +var Q2 = [ + -3.5783478026152301072e+05, + 2.4599102262586308984e+05, + -8.4055062591169562211e+04, + 1.8680990008359188352e+04, + -2.9458766545509337327e+03, + 3.3307310774649071172e+02, + -2.5258076240801555057e+01, + 1.0 +]; + +var PC = [ + 2.2779090197304684302e+04, + 4.1345386639580765797e+04, + 2.1170523380864944322e+04, + 3.4806486443249270347e+03, + 1.5376201909008354296e+02, + 8.8961548424210455236e-01 +]; + +var QC = [ + 2.2779090197304684318e+04, + 4.1370412495510416640e+04, + 2.1215350561880115730e+04, + 3.5028735138235608207e+03, + 1.5711159858080893649e+02, + 1.0 +]; + +var PS = [ + -8.9226600200800094098e+01, + -1.8591953644342993800e+02, + -1.1183429920482737611e+02, + -2.2300261666214198472e+01, + -1.2441026745835638459e+00, + -8.8033303048680751817e-03 +]; + +var QS = [ + 5.7105024128512061905e+03, + 1.1951131543434613647e+04, + 7.2642780169211018836e+03, + 1.4887231232283756582e+03, + 9.0593769594993125859e+01, + 1.0 +]; + +// Header to add to output files: +var header = licenseHeader( 'Apache-2.0', 'js', { + 'year': currentYear(), + 'copyright': 'The Stdlib Authors' +}); +header += '\n/* This is a generated file. Do not edit directly. */\n'; + + +// FUNCTIONS // + +/** +* Inserts a compiled function into file content. +* +* @private +* @param {string} text - source content +* @param {string} id - function identifier +* @param {string} str - function string +* @returns {string} updated content +*/ +function insert( text, id, str ) { + var before; + var after; + var begin; + var end; + + begin = '// BEGIN: '+id; + end = '// END: '+id; + + before = substringBefore( text, begin ); + after = substringAfter( text, end ); + + return format( '%s// BEGIN: %s\n\n%s\n%s%s', before, id, str, end, after ); +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var copts; + var opts; + var file; + var str; + + opts = { + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'rational_p1q1.js' ); + str = header + compile( P1, Q1 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_p2q2.js' ); + str = header + compile( P2, Q2 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_pcqc.js' ); + str = header + compile( PC, QC ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_psqs.js' ); + str = header + compile( PS, QS ); + writeFileSync( fpath, str, opts ); + + copts = { + 'dtype': 'float', + 'name': '' + }; + + fpath = resolve( __dirname, '..', 'src', 'main.c' ); + file = readFileSync( fpath, opts ); + + copts.name = 'rational_p1q1'; + str = compileC( P1, Q1, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_p2q2'; + str = compileC( P2, Q2, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_pcqc'; + str = compileC( PC, QC, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_psqs'; + str = compileC( PS, QS, copts ); + file = insert( file, copts.name, str ); + + writeFileSync( fpath, file, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c new file mode 100644 index 000000000000..13004bc04d22 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_besselj0f ) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c new file mode 100644 index 000000000000..404a87ae5f28 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c @@ -0,0 +1,274 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +* +* +* ## Notice +* +* The original C++ code and copyright notice are from the [Boost library]{@link https://www.boost.org/doc/libs/1_85_0/boost/math/special_functions/detail/bessel_j0.hpp}. The implementation has been modified for use in stdlib. +* +* ```text +* Copyright Xiaogang Zhang, 2006. +* +* Use, modification and distribution are subject to the +* Boost Software License, Version 1.0. (See accompanying file +* LICENSE or copy at http://www.boost.org/LICENSE_1_0.txt) +* ``` +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include "stdlib/math/base/special/sqrtf.h" +#include "stdlib/math/base/special/sincosf.h" +#include "stdlib/constants/float32/pinf.h" + +static const float ONE_DIV_SQRT_PI = 0.5641895835477563f; +static const float x1 = 2.4048255576957727686e+00f; +static const float x2 = 5.5200781102863106496e+00f; +static const float x11 = 6.160e+02f; +static const float x12 = -1.42444230422723137837e-03f; +static const float x21 = 1.4130e+03f; +static const float x22 = 5.46860286310649596604e-04f; + +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + +// BEGIN: rational_p1q1 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_p1q1( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return -0.17291506903064494f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -412986685009.9087f + (x * (27282507878.60594f + (x * (-621407004.2354012f + (x * (6630299.79048338f + (x * (-36629.81465510709f + (x * (103.44222815443189f + (x * -0.12117036164593528f))))))))))); + s2 = 2388378799633.229f + (x * (26328198300.85965f + (x * (139850973.72263435f + (x * (456126.9622421994f + (x * (936.1402239233771f + (x * (1.0f + (x * 0.0f))))))))))); + } else { + ix = 1.0f / x; + s1 = -0.12117036164593528f + (ix * (103.44222815443189f + (ix * (-36629.81465510709f + (ix * (6630299.79048338f + (ix * (-621407004.2354012f + (ix * (27282507878.60594f + (ix * -412986685009.9087f))))))))))); + s2 = 0.0f + (ix * (1.0f + (ix * (936.1402239233771f + (ix * (456126.9622421994f + (ix * (139850973.72263435f + (ix * (26328198300.85965f + (ix * 2388378799633.229f))))))))))); + } + return s1 / s2; +} + +// END: rational_p1q1 + +// BEGIN: rational_p2q2 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_p2q2( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return 0.005119512965174424f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -1831.9397969392085f + (x * (-12254.07816137899f + (x * (-7287.970246446462f + (x * (10341.910641583727f + (x * (11725.046279757104f + (x * (4417.670702532509f + (x * (743.2119668062425f + (x * 48.5917033559165f))))))))))))); + s2 = -357834.78026152303f + (x * (245991.0226258631f + (x * (-84055.06259116957f + (x * (18680.99000835919f + (x * (-2945.876654550934f + (x * (333.07310774649073f + (x * (-25.258076240801554f + (x * 1.0f))))))))))))); + } else { + ix = 1.0f / x; + s1 = 48.5917033559165f + (ix * (743.2119668062425f + (ix * (4417.670702532509f + (ix * (11725.046279757104f + (ix * (10341.910641583727f + (ix * (-7287.970246446462f + (ix * (-12254.07816137899f + (ix * -1831.9397969392085f))))))))))))); + s2 = 1.0f + (ix * (-25.258076240801554f + (ix * (333.07310774649073f + (ix * (-2945.876654550934f + (ix * (18680.99000835919f + (ix * (-84055.06259116957f + (ix * (245991.0226258631f + (ix * -357834.78026152303f))))))))))))); + } + return s1 / s2; +} + +// END: rational_p2q2 + +// BEGIN: rational_pcqc + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_pcqc( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return 1.0f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = 22779.090197304686f + (x * (41345.38663958076f + (x * (21170.523380864943f + (x * (3480.648644324927f + (x * (153.76201909008356f + (x * 0.8896154842421046f))))))))); + s2 = 22779.090197304686f + (x * (41370.41249551042f + (x * (21215.350561880117f + (x * (3502.8735138235606f + (x * (157.11159858080893f + (x * 1.0f))))))))); + } else { + ix = 1.0f / x; + s1 = 0.8896154842421046f + (ix * (153.76201909008356f + (ix * (3480.648644324927f + (ix * (21170.523380864943f + (ix * (41345.38663958076f + (ix * 22779.090197304686f))))))))); + s2 = 1.0f + (ix * (157.11159858080893f + (ix * (3502.8735138235606f + (ix * (21215.350561880117f + (ix * (41370.41249551042f + (ix * 22779.090197304686f))))))))); + } + return s1 / s2; +} + +// END: rational_pcqc + +// BEGIN: rational_psqs + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_psqs( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return -0.015625f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -89.22660020080009f + (x * (-185.91953644342993f + (x * (-111.83429920482737f + (x * (-22.300261666214197f + (x * (-1.244102674583564f + (x * -0.008803330304868075f))))))))); + s2 = 5710.502412851206f + (x * (11951.131543434614f + (x * (7264.278016921102f + (x * (1488.7231232283757f + (x * (90.59376959499312f + (x * 1.0f))))))))); + } else { + ix = 1.0f / x; + s1 = -0.008803330304868075f + (ix * (-1.244102674583564f + (ix * (-22.300261666214197f + (ix * (-111.83429920482737f + (ix * (-185.91953644342993f + (ix * -89.22660020080009f))))))))); + s2 = 1.0f + (ix * (90.59376959499312f + (ix * (1488.7231232283757f + (ix * (7264.278016921102f + (ix * (11951.131543434614f + (ix * 5710.502412851206f))))))))); + } + return s1 / s2; +} + +// END: rational_psqs + +/* End auto-generated functions. */ + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @param x input value +* @return evaluated Bessel function +* +* @example +* float y = stdlib_base_besselj0f( 0.0f ); +* // returns 1.0f +*/ +float stdlib_base_besselj0f( const float x ) { + float rc; + float rs; + float y2; + float xc; + float r; + float y; + float f; + float s; + float c; + + xc = x; + if ( xc < 0.0f ) { + xc = -xc; + } + if ( xc == STDLIB_CONSTANT_FLOAT32_PINF ) { + return 0.0f; + } + if ( xc == 0.0f ) { + return 1.0f; + } + if ( xc <= 4.0f ) { + y = xc * xc; + r = rational_p1q1( y ); + f = ( xc + x1 ) * ( ( xc - ( x11 / 256.0f ) ) - x12 ); + return f * r; + } + if ( xc <= 8.0f ) { + y = 1.0f - ( ( xc * xc ) / 64.0f ); + r = rational_p2q2( y ); + f = ( xc + x2 ) * ( ( xc - ( x21 / 256.0f ) ) - x22 ); + return f * r; + } + y = 8.0f / xc; + y2 = y * y; + rc = rational_pcqc( y2 ); + rs = rational_psqs( y2 ); + f = ONE_DIV_SQRT_PI / stdlib_base_sqrtf( xc ); + + /* + * What follows is really just: + * + * ``` + * var z = x - pi/4; + * return f * (rc * cos(z) - y * rs * sin(z)); + * ``` + * + * But using the addition formulae for sin and cos, plus the special values for sin/cos of `π/4`. + */ + stdlib_base_sincosf( xc, &s, &c ); + return f * ( ( rc * ( c + s ) ) - ( ( y * rs ) * ( s - c ) ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..06bfe7391215 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE @@ -0,0 +1,3 @@ +julia 1.5 +JSON 0.21 +SpecialFunctions 0.10.3 diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json new file mode 100644 index 000000000000..d57e94cf07f9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000000..338ad7954636 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000000..3ded7d9ee02c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json new file mode 100644 index 000000000000..b30057c406f5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json new file mode 100644 index 000000000000..247d041623ce --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json @@ -0,0 +1 @@ +{"expected":[1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.99999976,0.999975,0.99750155,0.7651977,-0.24593578,0.019985853,0.024786687,-0.00709616,-0.0017192011,0.000331043,-8.683735e-5,3.2060296e-5,2.4687472e-5,2.1755916e-6,1.8904252e-6,5.523307e-7,2.1702499e-7,6.890786e-8,1.9621668e-8,2.0955095e-9,-2.4828515e-9,4.2849746e-10,2.4871857e-10,7.9597905e-11,2.5119634e-11,-3.1041822e-13,-2.327629e-12,-6.4887223e-13,9.0647304e-14,4.852406e-14,-2.112725e-14,5.2505285e-15,2.4457208e-15,-7.9142725e-16,1.7119e-16,4.490718e-17,2.2774812e-17,-7.40652e-18,-1.8473298e-18,3.760483e-19,-1.6557593e-19,6.40906e-20,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],"x":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0e-45,1.0e-44,1.0e-43,1.0e-42,1.0e-41,1.0e-40,1.0e-39,1.0e-38,1.0e-37,1.0e-36,1.0e-35,1.0e-34,1.0e-33,1.0e-32,1.0e-31,1.0e-30,1.0e-29,1.0e-28,1.0e-27,1.0e-26,1.0e-25,1.0e-24,1.0e-23,1.0e-22,1.0e-21,1.0e-20,1.0e-19,1.0e-18,1.0e-17,1.0e-16,1.0e-15,1.0e-14,1.0e-13,1.0e-12,1.0e-11,1.0e-10,1.0e-9,1.0e-8,1.0e-7,1.0e-6,1.0e-5,0.0001,0.001,0.01,0.1,1.0,10.0,100.0,1000.0,10000.0,100000.0,1.0e6,1.0e7,1.0e8,1.0e9,1.0e10,1.0e11,1.0e12,1.0e13,1.0e14,1.0e15,1.0e16,1.0e17,1.0e18,1.0e19,1.0e20,1.0e21,1.0e22,1.0e23,1.0e24,1.0e25,1.0e26,1.0e27,1.0e28,1.0e29,1.0e30,1.0e31,1.0e32,1.0e33,1.0e34,1.0e35,1.0e36,1.0e37,1.0e38,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..8ce5911cb111 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl @@ -0,0 +1,99 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON +using SpecialFunctions + +""" + gen( x, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -1000, stop = 1000, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( x, name ) + x = Float32.( x ); + y = Array{Float32}( undef, length(x) ); + for i in eachindex(x) + y[i] = Float32.( besselj0( x[i] ) ); + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Subnormal values (Float32 subnormal range is approx 1e-45 to 1e-38) +x = range(1.0f-45, stop = 1.0f-38, length = 5003); gen(x, "subnormal.json"); + +# Positive tiny values +x = range(1.0f-38, stop = 1.0f-30, length = 5003); gen(x, "tiny_positive.json"); + +# Small(er) values +x = range(0.0f0, stop = 0.8f0, length = 5003); gen(x, "smaller.json"); + +# Positive small values +x = range(0.8f0, stop = 3.0f0, length = 5003); gen(x, "small_positive.json"); + +# Positive medium values +x = range(3.0f0, stop = 20.0f0, length = 5003); gen(x, "medium_positive.json"); + +# Large positive values +x = range(20.0f0, stop = 50.0f0, length = 5003); gen(x, "large_positive.json"); + +# Very large positive values +x = range(50.0f0, stop = 500.0f0, length = 5003); gen(x, "very_large_positive.json"); + +# Huge positive values (Float32 max is approx 3.4e38) +x = range(1.0f30, stop = 3.0f38, length = 5003); gen(x, "huge_positive.json"); + +# Negative small values +x = range(-0.8f0, stop = -3.0f0, length = 5003); gen(x, "small_negative.json"); + +# The full gamut of positive magnitudes (Float32 exponents roughly -45 to +38) +x = [10.0f0^x for x in range(-45.0f0, stop = 38.0f0, length = 632)]; gen(x, "positive_gamut.json"); + +# The full gamut of negative magnitudes +x = [-(10.0f0^x) for x in range(-45.0f0, stop = 38.0f0, length = 632)]; gen(x, "negative_gamut.json"); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000000..4b9e16d9eaef --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..5b2551d4167e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json new file mode 100644 index 000000000000..2a04290785e2 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json new file mode 100644 index 000000000000..1e663250350c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000000..1e663250350c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json new file mode 100644 index 000000000000..1fa66ec18655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js new file mode 100644 index 000000000000..99ad4f63a9b1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js @@ -0,0 +1,360 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' ); +var j0f = require( './../lib' ); + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var positiveGamut = require( './fixtures/julia/positive_gamut.json' ); +var negativeGamut = require( './fixtures/julia/negative_gamut.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof j0f, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (very large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 800.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 1450.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (medium positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 500.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 130.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 130.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates Bessel function of the first kind of zero order (J_0f) (smaller values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 2.5 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (tiny positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (subnormal values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (huge positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 900.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (positive values over a wide range of magnitudes)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = positiveGamut.expected; + x = positiveGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (negative values over a wide range of magnitudes)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = negativeGamut.expected; + x = negativeGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function is an even function (f(x) = f(-x))', function test( t ) { + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = randu() * 100.0; + t.strictEqual( j0f( x ), j0f( -x ), 'returns same value for +-'+x ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = j0f( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', function test( t ) { + var v = j0f( NINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', function test( t ) { + var v = j0f( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js new file mode 100644 index 000000000000..95a9a620228d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js @@ -0,0 +1,373 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var j0f = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( j0f instanceof Error ) +}; + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var positiveGamut = require( './fixtures/julia/positive_gamut.json' ); +var negativeGamut = require( './fixtures/julia/negative_gamut.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof j0f, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (very large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 800.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 1450.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (medium positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 500.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + + // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 + tol = 131.4 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + + // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 + tol = 131.4 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates Bessel function of the first kind of zero order (J_0f) (smaller values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 2.5 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (tiny positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (subnormal values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (huge positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 900.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (positive values over a wide range of magnitudes)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = positiveGamut.expected; + x = positiveGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (negative values over a wide range of magnitudes)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = negativeGamut.expected; + x = negativeGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function is an even function (f(x) = f(-x))', opts, function test( t ) { + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = randu() * 100.0; + t.strictEqual( j0f( x ), j0f( -x ), 'returns same value for +-'+x ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v = j0f( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', opts, function test( t ) { + var v = j0f( NINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', opts, function test( t ) { + var v = j0f( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +});