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In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS + +DEPENDENCIES & ATTRIBUTION + +The library links against the following external libraries or contains +implementations from the following external libraries, which have their own +licenses: + +* Cephes + +Copyright (c) 1984-2000 Stephen L. Moshier + +Some software in this archive may be from the book _Methods and Programs for +Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) +or from the Cephes Mathematical Library, a commercial product. In either event, +it is copyrighted by the author. What you see here may be used freely but it +comes with no support or guarantee. + +Stephen L. Moshier +moshier@na-net.ornl.gov diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/README.md b/lib/node_modules/@stdlib/math/base/special/sicif/README.md new file mode 100644 index 000000000000..a2d9529614cd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/README.md @@ -0,0 +1,140 @@ + + +# sicif + +> Compute the sine and cosine integrals in single-precision floating-point format. + +
+ +The sine integral is defined as + + + +```math +\int_0^x \frac{\sin t}{t}\; dt +``` + + + +and the cosine integral is defined as + + + +```math +\gamma + \log( x ) + \int_0^x \frac{\cos t - 1}{t}\; dt +``` + + + +where `γ` is the [Euler-Mascheroni][eulergamma] constant. + +
+ + + +
+ +## Usage + +```javascript +var sicif = require( '@stdlib/math/base/special/sicif' ); +``` + +#### sicif( x ) + +Computes the sine and cosine integrals in single-precision floating-point format. + +```javascript +var v = sicif( 3.0 ); +// returns [ ~1.849, ~0.12 ] + +v = sicif( 0.0 ); +// returns [ 0.0, -Infinity ] + +v = sicif( -9.0 ); +// returns [ ~-1.665, ~0.055 ] + +v = sicif( NaN ); +// returns [ NaN, NaN ] +``` + +#### sicif.assign( x, out, stride, offset ) + +Computes the sine and cosine integrals in single-precision floating-point format and assigns results to a provided output array. + +```javascript +var Float32Array = require( '@stdlib/array/float32' ); + +var out = new Float32Array( 2 ); + +var v = sicif.assign( 3.0, out, 1, 0 ); +// returns [ ~1.849, ~0.12 ] + +var bool = ( v === out ); +// returns true +``` + +
+ + + +
+ +## Examples + + + +```javascript +var randu = require( '@stdlib/random/base/randu' ); +var sicif = require( '@stdlib/math/base/special/sicif' ); + +var x; +var y; +var i; + +for ( i = 0; i < 100; i++ ) { + x = randu() * 100.0; + y = sicif( x ); + console.log( 'si(%d) = %d, ci(%d) = %d', x, y[ 0 ], x, y[ 1 ] ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[eulergamma]: http://mathworld.wolfram.com/Euler-MascheroniConstant.html + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js new file mode 100644 index 000000000000..1d76745bc700 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js @@ -0,0 +1,87 @@ +/** +* @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 isArray = require( '@stdlib/assert/is-array' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var sicif = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -50.0, 50.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = sicif( x[ i%x.length ] ); + if ( isnanf( y[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( !isArray( y ) ) { + b.fail( 'should return an array' ); + } + if ( isnanf( y[ 0 ] ) || isnanf( y[ 1 ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); + +bench( pkg+':assign', function benchmark( b ) { + var out; + var x; + var y; + var i; + + out = [ 0.0, 0.0 ]; + x = uniform( 100, -50.0, 50.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = sicif.assign( x[ i%x.length ], out, 1, 0 ); + if ( isnanf( y[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( !isArray( y ) || y !== out ) { + b.fail( 'should return the output array' ); + } + if ( isnanf( y[ 0 ] ) || isnanf( y[ 1 ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/Makefile new file mode 100644 index 000000000000..59023faf1628 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/Makefile @@ -0,0 +1,113 @@ +#/ +# @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 := @ +endif + +# Specify the path to Cephes: +CEPHES ?= + +# Specify a list of Cephes source files: +CEPHES_SRC ?= + +# Determine the OS: +# +# [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 +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate [position independent code][1]: +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of C targets: +c_targets := benchmark.out + + +# TARGETS # + +# Default target. +# +# This target is the default target. + +all: $(c_targets) + +.PHONY: all + + +# Compile C source. +# +# This target compiles C source files. + +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $(CEPHES_SRC) $< -lm + + +# Run a benchmark. +# +# This target runs a benchmark. + +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + + +# Perform clean-up. +# +# This target removes generated files. + +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/benchmark.c b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/benchmark.c new file mode 100644 index 000000000000..37d9db42df0e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/benchmark.c @@ -0,0 +1,143 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include +#include +#include +#include +#include + +#define NAME "sicif" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Define prototypes for external functions. +*/ +extern int sici( float x, float *si, float *ci ); + +/** +* 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 ) { + double elapsed; + float x[ 100 ]; + double t; + float y; + float z; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -50.0f, 50.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + sici( x[ i%100 ], &y, &z ); + if ( y != y || z != z ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y || z != z ) { + 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::cephes::%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/sicif/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/sicif/docs/repl.txt new file mode 100644 index 000000000000..d26a8055a8aa --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/repl.txt @@ -0,0 +1,60 @@ + +{{alias}}( x ) + Computes the sine and cosine integrals in single-precision floating-point + format. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + out: Array + Sine and cosine integrals. + + Examples + -------- + > var y = {{alias}}( 3.0 ) + [ ~1.849, ~0.12 ] + > y = {{alias}}( 0.0 ) + [ 0.0, -Infinity ] + > y = {{alias}}( -9.0 ) + [ ~-1.665, ~0.055 ] + > y = {{alias}}( NaN ) + [ NaN, NaN ] + + +{{alias}}.assign( x, out, stride, offset ) + Computes the sine and cosine integrals in single-precision floating-point + format and assigns results to a provided output array. + + Parameters + ---------- + x: number + Input value. + + out: Array|TypedArray|Object + Output array. + + stride: integer + Output array stride. + + offset: integer + Output array index offset. + + Returns + ------- + out: Array|TypedArray|Object + Sine and cosine integrals. + + Examples + -------- + > var out = new {{alias:@stdlib/array/float32}}( 2 ); + > var y = {{alias}}.assign( 3.0, out, 1, 0 ) + [ ~1.849, ~0.12 ] + > var bool = ( y === out ) + true + + See Also + -------- diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/index.d.ts new file mode 100644 index 000000000000..45536bea4ae7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/index.d.ts @@ -0,0 +1,103 @@ +/* +* @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 + +/// + +import { Collection } from '@stdlib/types/array'; + +/** +* Interface describing `sicif`. +*/ +interface Sicif { + /** + * Computes the sine and cosine integrals in single-precision floating-point format. + * + * @param x - input value + * @returns output array + * + * @example + * var v = sicif( 3.0 ); + * // returns [ ~1.849, ~0.12 ] + * + * @example + * var v = sicif( 0.0 ); + * // returns [ 0.0, -Infinity ] + * + * @example + * var v = sicif( -9.0 ); + * // returns [ ~-1.665, ~0.055 ] + * + * @example + * var v = sicif( NaN ); + * // returns [ NaN, NaN ] + */ + ( x: number ): Array; + + /** + * Computes the sine and cosine integrals in single-precision floating-point format and assigns results to a provided output array. + * + * @param x - input value + * @param out - output array + * @param stride - output array stride + * @param offset - output array index offset + * @returns output array + * + * @example + * var Float32Array = require( '@stdlib/array/float32' ); + * + * var out = new Float32Array( 2 ); + * + * var v = sicif.assign( 3.0, out, 1, 0 ); + * // returns [ ~1.849, ~0.12 ] + * + * var bool = ( v === out ); + * // returns true + */ + assign( x: number, out: Collection, stride: number, offset: number ): Collection; +} + +/** +* Computes the sine and cosine integrals in single-precision floating-point format. +* +* @param x - input value +* @returns output array +* +* @example +* var v = sicif( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sicif( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sicif( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sicif( NaN ); +* // returns [ NaN, NaN ] +*/ +declare var sicif: Sicif; + + +// EXPORTS // + +export = sicif; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/test.ts new file mode 100644 index 000000000000..3d87e29db6b8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/types/test.ts @@ -0,0 +1,112 @@ +/* +* @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 sicif = require( './index' ); + + +// TESTS // + +// The function returns a collection... +{ + sicif( 1.0 ); // $ExpectType number[] +} + +// The compiler throws an error if the function is provided a last argument other than a number... +{ + sicif( true ); // $ExpectError + sicif( false ); // $ExpectError + sicif( null ); // $ExpectError + sicif( undefined ); // $ExpectError + sicif( '5' ); // $ExpectError + sicif( [] ); // $ExpectError + sicif( {} ); // $ExpectError + sicif( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + sicif(); // $ExpectError +} + +// Attached to the main export is an `assign` method which returns an array-like object containing numbers... +{ + const out = [ 0.0, 0.0 ]; + + sicif.assign( 3.0, out, 1, 0 ); // $ExpectType Collection +} + +// The compiler throws an error if the `assign` method is provided a first argument which is not a number... +{ + const out = [ 0.0, 0.0 ]; + + sicif.assign( true, out, 1, 0 ); // $ExpectError + sicif.assign( false, out, 1, 0 ); // $ExpectError + sicif.assign( '5', out, 1, 0 ); // $ExpectError + sicif.assign( null, out, 1, 0 ); // $ExpectError + sicif.assign( [], out, 1, 0 ); // $ExpectError + sicif.assign( {}, out, 1, 0 ); // $ExpectError + sicif.assign( ( x: number ): number => x, out, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the `assign` method is provided a second argument which is not an array-like object... +{ + sicif.assign( 1.0, 1, 1, 0 ); // $ExpectError + sicif.assign( 1.0, true, 1, 0 ); // $ExpectError + sicif.assign( 1.0, false, 1, 0 ); // $ExpectError + sicif.assign( 1.0, null, 1, 0 ); // $ExpectError + sicif.assign( 1.0, {}, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the `assign` method is provided a third argument which is not a number... +{ + const out = [ 0.0, 0.0 ]; + + sicif.assign( 1.0, out, '5', 0 ); // $ExpectError + sicif.assign( 1.0, out, true, 0 ); // $ExpectError + sicif.assign( 1.0, out, false, 0 ); // $ExpectError + sicif.assign( 1.0, out, null, 0 ); // $ExpectError + sicif.assign( 1.0, out, [], 0 ); // $ExpectError + sicif.assign( 1.0, out, {}, 0 ); // $ExpectError + sicif.assign( 1.0, out, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the `assign` method is provided a fourth argument which is not a number... +{ + const out = [ 0.0, 0.0 ]; + + sicif.assign( 1.0, out, 1, '5' ); // $ExpectError + sicif.assign( 1.0, out, 1, true ); // $ExpectError + sicif.assign( 1.0, out, 1, false ); // $ExpectError + sicif.assign( 1.0, out, 1, null ); // $ExpectError + sicif.assign( 1.0, out, 1, [] ); // $ExpectError + sicif.assign( 1.0, out, 1, {} ); // $ExpectError + sicif.assign( 1.0, out, 1, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `assign` method is provided an unsupported number of arguments... +{ + const out = [ 0.0, 0.0 ]; + + sicif.assign(); // $ExpectError + sicif.assign( 1.0 ); // $ExpectError + sicif.assign( 1.0, out ); // $ExpectError + sicif.assign( 1.0, out, 1 ); // $ExpectError + sicif.assign( 1.0, out, 1, 0, 1 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js b/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js new file mode 100644 index 000000000000..03737ffceae4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js @@ -0,0 +1,32 @@ +/** +* @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 randu = require( '@stdlib/random/base/randu' ); +var sicif = require( './../lib' ); + +var x; +var y; +var i; + +for ( i = 0; i < 100; i++ ) { + x = randu() * 100.0; + y = sicif( x ); + console.log( 'si(%d) = %d, ci(%d) = %d', x, y[ 0 ], x, y[ 1 ] ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js new file mode 100644 index 000000000000..5b81d28342f2 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js @@ -0,0 +1,196 @@ +/** +* @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. +* +* +* ## Notice +* +* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified for JavaScript. +* +* ```text +* Copyright 1984, 1987, 1989 by Stephen L. Moshier +* +* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee. +* +* Stephen L. Moshier +* moshier@na-net.ornl.gov +* ``` +*/ + +'use strict'; + +// MODULES // + +var isInfinitef = require( '@stdlib/math/base/assert/is-infinitef' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var cosf = require( '@stdlib/math/base/special/cosf' ); +var sinf = require( '@stdlib/math/base/special/sinf' ); +var lnf = require( '@stdlib/math/base/special/lnf' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var HALF_PI = require( '@stdlib/constants/float32/half-pi' ); +var GAMMA = require( '@stdlib/constants/float32/eulergamma' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var polyvalFN4 = require( './polyval_fn4.js' ); +var polyvalFD4 = require( './polyval_fd4.js' ); +var polyvalFN8 = require( './polyval_fn8.js' ); +var polyvalFD8 = require( './polyval_fd8.js' ); +var polyvalGN4 = require( './polyval_gn4.js' ); +var polyvalGD4 = require( './polyval_gd4.js' ); +var polyvalGN8 = require( './polyval_gn8.js' ); +var polyvalGD8 = require( './polyval_gd8.js' ); +var polyvalSN = require( './polyval_sn.js' ); +var polyvalSD = require( './polyval_sd.js' ); +var polyvalCN = require( './polyval_cn.js' ); +var polyvalCD = require( './polyval_cd.js' ); + + +// VARIABLES // + +var ZERO = f32( 0.0 ); +var ONE = f32( 1.0 ); +var FOUR = f32( 4.0 ); +var EIGHT = f32( 8.0 ); +var HUGE = f32( 1.0e9 ); + + +// MAIN // + +/** +* Computes the sine and cosine integrals in single-precision floating-point format and assigns results to a provided output array. +* +* ## Method +* +* - The integrals are approximated by rational functions. +* +* - For \\( x > 8 \\), auxiliary functions \\( f(x) \\) and \\( g(x) \\) are employed such that +* +* ```tex +* \operatorname{Ci}(x) = f(x) \sin(x) - g(x) \cos(x) \\ +* \operatorname{Si}(x) = \pi/2 - f(x) \cos(x) - g(x) \sin(x) +* ``` +* +* ## Notes +* +* - Absolute error on test interval \\( \[0,50\] \\), except relative when greater than \\( 1 \\): +* +* | arithmetic | function | # trials | peak | rms | +* |:----------:|:-----------:|:--------:|:-------:|:-------:| +* | IEEE | Si | 30000 | 2.1e-7 | 4.3e-8 | +* | IEEE | Ci | 30000 | 3.9e-7 | 2.2e-8 | +* +* @private +* @param {number} x - input value +* @param {Collection} out - output array +* @param {integer} stride - output array stride +* @param {NonNegativeInteger} offset - output array index offset +* @returns {Collection} output array +* +* @example +* var v = sicif( 3.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sicif( 0.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sicif( -9.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sicif( NaN, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ NaN, NaN ] +*/ +function sicif( x, out, stride, offset ) { + var sgn; + var si; + var ci; + var c; + var f; + var g; + var s; + var z; + + x = f32( x ); + if ( isnanf( x ) ) { + out[ offset ] = NaN; + out[ offset + stride ] = NaN; + return out; + } + if ( x < ZERO ) { + sgn = -1; + x = f32( -x ); + } else { + sgn = 0; + } + if ( x === ZERO ) { + out[ offset ] = ZERO; + out[ offset + stride ] = NINF; + return out; + } + if ( x > HUGE ) { + if ( isInfinitef( x ) ) { + if ( sgn === -1 ) { + si = f32( -HALF_PI ); + ci = NaN; + } else { + si = f32( HALF_PI ); + ci = ZERO; + } + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; + } + si = f32( HALF_PI - f32( cosf( x ) / x ) ); + ci = f32( sinf( x ) / x ); + } + if ( x > FOUR ) { + s = sinf( x ); + c = cosf( x ); + z = f32( ONE / f32( x*x ) ); + if ( x < EIGHT ) { + f = f32( polyvalFN4( z ) / f32( x * polyvalFD4( z ) ) ); + g = f32( f32( z * polyvalGN4( z ) ) / polyvalGD4( z ) ); + } else { + f = f32( polyvalFN8( z ) / f32( x * polyvalFD8( z ) ) ); + g = f32( f32( z * polyvalGN8( z ) ) / polyvalGD8( z ) ); + } + si = f32( f32( HALF_PI - f32( f*c ) ) - f32( g*s ) ); + if ( sgn ) { + si = f32( -si ); + } + ci = f32( f32( f*s ) - f32( g*c ) ); + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; + } + z = f32( x * x ); + s = f32( f32( x * polyvalSN( z ) ) / polyvalSD( z ) ); + c = f32( f32( z * polyvalCN( z ) ) / polyvalCD( z ) ); + if ( sgn ) { + s = f32( -s ); + } + si = s; + ci = f32( f32( GAMMA + lnf( x ) ) + c ); // real part if x < 0 + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; +} + + +// EXPORTS // + +module.exports = sicif; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js new file mode 100644 index 000000000000..d684a808db81 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js @@ -0,0 +1,68 @@ +/** +* @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'; + +/** +* Compute the sine and cosine integrals in single-precision floating-point format. +* +* @module @stdlib/math/base/special/sicif +* +* @example +* var sicif = require( '@stdlib/math/base/special/sicif' ); +* +* var v = sicif( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* v = sicif( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* v = sicif( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* v = sicif( NaN ); +* // returns [ NaN, NaN ] +* +* @example +* var Float32Array = require( '@stdlib/array/float32' ); +* var sicif = require( '@stdlib/math/base/special/sicif' ); +* +* var out = new Float32Array( 2 ); +* +* var v = sicif.assign( 3.0, out, 1, 0 ); +* // returns [ ~1.849, ~0.12 ] +* +* var bool = ( v === out ); +* // returns true +*/ + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var main = require( './main.js' ); +var assign = require( './assign.js' ); + + +// MAIN // + +setReadOnly( main, 'assign', assign ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js new file mode 100644 index 000000000000..29dc88f163ff --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js @@ -0,0 +1,57 @@ +/** +* @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 fcn = require( './assign.js' ); + + +// MAIN // + +/** +* Computes the sine and cosine integrals in single-precision floating-point format. +* +* @param {number} x - input value +* @returns {Array} output array +* +* @example +* var v = sicif( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sicif( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sicif( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sicif( NaN ); +* // returns [ NaN, NaN ] +*/ +function sicif( x ) { + return fcn( x, [ 0.0, 0.0 ], 1, 0 ); +} + + +// EXPORTS // + +module.exports = sicif; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cd.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cd.js new file mode 100644 index 000000000000..efe276b20881 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cd.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 4.0; + } + return float64ToFloat32(4.0 + float64ToFloat32(x * float64ToFloat32(0.051002804189920425 + float64ToFloat32(x * float64ToFloat32(0.00031744202715344727 + float64ToFloat32(x * float64ToFloat32(0.0000012321035001150449 + float64ToFloat32(x * float64ToFloat32(3.0678100060299585e-9 + float64ToFloat32(x * 4.077460591389581e-12)))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cn.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cn.js new file mode 100644 index 000000000000..d01e23cc9cc1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cn.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return -1.0; + } + return float64ToFloat32(-1.0 + float64ToFloat32(x * float64ToFloat32(0.02891596592962742 + float64ToFloat32(x * float64ToFloat32(-0.00047400721814483404 + float64ToFloat32(x * float64ToFloat32(0.0000035932505397795467 + float64ToFloat32(x * float64ToFloat32(-1.3524950048804385e-8 + float64ToFloat32(x * 2.0252400451115093e-11)))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd4.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd4.js new file mode 100644 index 000000000000..fbac45810892 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd4.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 5.489002319336578e-7; + } + return float64ToFloat32(5.489002319336578e-7 + float64ToFloat32(x * float64ToFloat32(0.00011003435793099925 + float64ToFloat32(x * float64ToFloat32(0.007017106749117374 + float64ToFloat32(x * float64ToFloat32(0.1787920594215393 + float64ToFloat32(x * float64ToFloat32(1.8679225444793701 + float64ToFloat32(x * float64ToFloat32(7.308288097381592 + float64ToFloat32(x * float64ToFloat32(8.164966583251953 + float64ToFloat32(x * 1.0)))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd8.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd8.js new file mode 100644 index 000000000000..8bc5e2f46e87 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd8.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 9.705071083799047e-14; + } + return float64ToFloat32(9.705071083799047e-14 + float64ToFloat32(x * float64ToFloat32(9.437205877871335e-11 + float64ToFloat32(x * float64ToFloat32(3.219569322254756e-8 + float64ToFloat32(x * float64ToFloat32(0.000004924350832880009 + float64ToFloat32(x * float64ToFloat32(0.00035869647399522364 + float64ToFloat32(x * float64ToFloat32(0.012225359678268433 + float64ToFloat32(x * float64ToFloat32(0.17868554592132568 + float64ToFloat32(x * float64ToFloat32(0.9174636006355286 + float64ToFloat32(x * 1.0)))))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn4.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn4.js new file mode 100644 index 000000000000..543dc46d738e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn4.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 5.489002319336578e-7; + } + return float64ToFloat32(5.489002319336578e-7 + float64ToFloat32(x * float64ToFloat32(0.0001089365832740441 + float64ToFloat32(x * float64ToFloat32(0.006810201331973076 + float64ToFloat32(x * float64ToFloat32(0.16700661182403564 + float64ToFloat32(x * float64ToFloat32(1.620832920074463 + float64ToFloat32(x * float64ToFloat32(5.459377288818359 + float64ToFloat32(x * 4.236128807067871)))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn8.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn8.js new file mode 100644 index 000000000000..0e609e01c703 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn8.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 9.705071083799047e-14; + } + return float64ToFloat32(9.705071083799047e-14 + float64ToFloat32(x * float64ToFloat32(9.417795709953936e-11 + float64ToFloat32(x * float64ToFloat32(3.200927878310722e-8 + float64ToFloat32(x * float64ToFloat32(0.0000048621541282045655 + float64ToFloat32(x * float64ToFloat32(0.0003495564451441169 + float64ToFloat32(x * float64ToFloat32(0.011606423184275627 + float64ToFloat32(x * float64ToFloat32(0.16030016541481018 + float64ToFloat32(x * float64ToFloat32(0.7137152552604675 + float64ToFloat32(x * 0.45588088035583496)))))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd4.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd4.js new file mode 100644 index 000000000000..bee16343841c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd4.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 7.825792458504566e-9; + } + return float64ToFloat32(7.825792458504566e-9 + float64ToFloat32(x * float64ToFloat32(0.0000020265918010409223 + float64ToFloat32(x * float64ToFloat32(0.00017322108033113182 + float64ToFloat32(x * float64ToFloat32(0.00622396357357502 + float64ToFloat32(x * float64ToFloat32(0.09887717664241791 + float64ToFloat32(x * float64ToFloat32(0.6662967205047607 + float64ToFloat32(x * float64ToFloat32(1.644021987915039 + float64ToFloat32(x * 1.0)))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd8.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd8.js new file mode 100644 index 000000000000..e7a3e03fbd0d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd8.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 3.1404009099666834e-15; + } + return float64ToFloat32(3.1404009099666834e-15 + float64ToFloat32(x * float64ToFloat32(3.878301759602243e-12 + float64ToFloat32(x * float64ToFloat32(1.7269374819051109e-9 + float64ToFloat32(x * float64ToFloat32(3.5704323408936034e-7 + float64ToFloat32(x * float64ToFloat32(0.00003684755210997537 + float64ToFloat32(x * float64ToFloat32(0.0019028442911803722 + float64ToFloat32(x * float64ToFloat32(0.04679131880402565 + float64ToFloat32(x * float64ToFloat32(0.4878522455692291 + float64ToFloat32(x * float64ToFloat32(1.6854889392852783 + float64ToFloat32(x * 1.0)))))))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn4.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn4.js new file mode 100644 index 000000000000..73beeb76f7c9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn4.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 7.825790682147726e-9; + } + return float64ToFloat32(7.825790682147726e-9 + float64ToFloat32(x * float64ToFloat32(0.000001979638682314544 + float64ToFloat32(x * float64ToFloat32(0.00016199979290831834 + float64ToFloat32(x * float64ToFloat32(0.005388686899095774 + float64ToFloat32(x * float64ToFloat32(0.07485277205705643 + float64ToFloat32(x * float64ToFloat32(0.3971802890300751 + float64ToFloat32(x * float64ToFloat32(0.611379086971283 + float64ToFloat32(x * 0.08710017055273056)))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn8.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn8.js new file mode 100644 index 000000000000..3a9652d24124 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn8.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 3.1404009099666834e-15; + } + return float64ToFloat32(3.1404009099666834e-15 + float64ToFloat32(x * float64ToFloat32(3.859459193206183e-12 + float64ToFloat32(x * float64ToFloat32(1.7040445721150377e-9 + float64ToFloat32(x * float64ToFloat32(3.4713116292550694e-7 + float64ToFloat32(x * float64ToFloat32(0.00003489411756163463 + float64ToFloat32(x * float64ToFloat32(0.0017171823419630527 + float64ToFloat32(x * float64ToFloat32(0.03848787769675255 + float64ToFloat32(x * float64ToFloat32(0.33041098713874817 + float64ToFloat32(x * 0.6973599791526794)))))))))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sd.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sd.js new file mode 100644 index 000000000000..260b40c7ceed --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sd.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 1.0; + } + return float64ToFloat32(1.0 + float64ToFloat32(x * float64ToFloat32(0.01420852355659008 + float64ToFloat32(x * float64ToFloat32(0.00009964121272787452 + float64ToFloat32(x * float64ToFloat32(4.418278365392325e-7 + float64ToFloat32(x * float64ToFloat32(1.2799789006479045e-9 + float64ToFloat32(x * 2.0326925906366533e-12)))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sn.js b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sn.js new file mode 100644 index 000000000000..ecea9b8a9e4a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sn.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 1.0; + } + return float64ToFloat32(1.0 + float64ToFloat32(x * float64ToFloat32(-0.04134703055024147 + float64ToFloat32(x * float64ToFloat32(0.0009769453899934888 + float64ToFloat32(x * float64ToFloat32(-0.000009757593034009915 + float64ToFloat32(x * float64ToFloat32(4.6259170716211884e-8 + float64ToFloat32(x * -8.391678324448648e-11)))))))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/package.json b/lib/node_modules/@stdlib/math/base/special/sicif/package.json new file mode 100644 index 000000000000..aa6c9e0d216a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/package.json @@ -0,0 +1,67 @@ +{ + "name": "@stdlib/math/base/special/sicif", + "version": "0.0.0", + "description": "Sine and cosine integrals in single-precision floating-point format.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "scripts": "./scripts", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special", + "function", + "sine", + "sin", + "cosine", + "cos", + "integral", + "sicif", + "number" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js b/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js new file mode 100644 index 000000000000..228bfdfec8d0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js @@ -0,0 +1,227 @@ +/** +* @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. +*/ + +/* +* 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 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/evalpoly-compile' ); + + +// VARIABLES // + +// Polynomial coefficients ordered in ascending degree... +var SN = [ + 1.00000000000000000302e0, + -4.13470316229406538752e-2, + 9.76945438170435310816e-4, + -9.75759303843632795789e-6, + 4.62591714427012837309e-8, + -8.39167827910303881427e-11 +]; +var SD = [ + 9.99999999999999996984e-1, + 1.42085239326149893930e-2, + 9.96412122043875552487e-5, + 4.41827842801218905784e-7, + 1.27997891179943299903e-9, + 2.03269266195951942049e-12 +]; +var CN = [ + -1.00000000000000000080e0, + 2.89159652607555242092e-2, + -4.74007206873407909465e-4, + 3.59325051419993077021e-6, + -1.35249504915790756375e-8, + 2.02524002389102268789e-11 +]; +var CD = [ + 4.00000000000000000080e0, + 5.10028056236446052392e-2, + 3.17442024775032769882e-4, + 1.23210355685883423679e-6, + 3.06780997581887812692e-9, + 4.07746040061880559506e-12 +]; +var FN4 = [ + 5.48900223421373614008e-7, + 1.08936580650328664411e-4, + 6.81020132472518137426e-3, + 1.67006611831323023771e-1, + 1.62083287701538329132e0, + 5.45937717161812843388e0, + 4.23612862892216586994e0 +]; +var FD4 = [ + 5.48900252756255700982e-7, + 1.10034357153915731354e-4, + 7.01710668322789753610e-3, + 1.78792052963149907262e-1, + 1.86792257950184183883e0, + 7.30828822505564552187e0, + 8.16496634205391016773e0, + 1.00000000000000000000e0 +]; +var FN8 = [ + 9.70507110881952024631e-14, + 9.41779576128512936592e-11, + 3.20092790091004902806e-8, + 4.86215430826454749482e-6, + 3.49556442447859055605e-4, + 1.16064229408124407915e-2, + 1.60300158222319456320e-1, + 7.13715274100146711374e-1, + 4.55880873470465315206e-1 +]; +var FD8 = [ + 9.70507110881952025725e-14, + 9.43720590350276732376e-11, + 3.21956939101046018377e-8, + 4.92435064317881464393e-6, + 3.58696481881851580297e-4, + 1.22253594771971293032e-2, + 1.78685545332074536321e-1, + 9.17463611873684053703e-1, + 1.00000000000000000000e0 +]; +var GN4 = [ + 7.82579040744090311069e-9, + 1.97963874140963632189e-6, + 1.61999794598934024525e-4, + 5.38868681462177273157e-3, + 7.48527737628469092119e-2, + 3.97180296392337498885e-1, + 6.11379109952219284151e-1, + 8.71001698973114191777e-2 +]; +var GD4 = [ + 7.82579218933534490868e-9, + 2.02659182086343991969e-6, + 1.73221081474177119497e-4, + 6.22396345441768420760e-3, + 9.88771761277688796203e-2, + 6.66296701268987968381e-1, + 1.64402202413355338886e0, + 1.00000000000000000000e0 +]; +var GN8 = [ + 3.14040098946363334640e-15, + 3.85945925430276600453e-12, + 1.70404452782044526189e-9, + 3.47131167084116673800e-7, + 3.48941165502279436777e-5, + 1.71718239052347903558e-3, + 3.84878767649974295920e-2, + 3.30410979305632063225e-1, + 6.97359953443276214934e-1 +]; +var GD8 = [ + 3.14040098946363335242e-15, + 3.87830166023954706752e-12, + 1.72693748966316146736e-9, + 3.57043223443740838771e-7, + 3.68475504442561108162e-5, + 1.90284426674399523638e-3, + 4.67913194259625806320e-2, + 4.87852258695304967486e-1, + 1.68548898811011640017e0, + 1.00000000000000000000e0 +]; + +// 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'; + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var opts; + var str; + + opts = { + 'dtype': 'float32', + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'polyval_sn.js' ); + str = header + compile( SN, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_sd.js' ); + str = header + compile( SD, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_cn.js' ); + str = header + compile( CN, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_cd.js' ); + str = header + compile( CD, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fn4.js' ); + str = header + compile( FN4, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fd4.js' ); + str = header + compile( FD4, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fn8.js' ); + str = header + compile( FN8, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fd8.js' ); + str = header + compile( FD8, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gn4.js' ); + str = header + compile( GN4, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gd4.js' ); + str = header + compile( GD4, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gn8.js' ); + str = header + compile( GN8, opts ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gd8.js' ); + str = header + compile( GD8, opts ); + writeFileSync( fpath, str, opts ); +} + +main(); diff --git 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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 sici + +# 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 writes them to file. + + # Arguments + + * `x`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(0.0, 1.0, 2001) + python> gen(x, './data.json') + ``` + """ + y = sici(x) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "si": y[0].tolist(), + "ci": y[1].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(0.0001, 0.25, 500, dtype=np.float32) + gen(x, "small_positive.json") + + x = np.linspace(0.25, 5.0, 500, dtype=np.float32) + gen(x, "medium_positive.json") + + x = np.linspace(5.0, 100.0, 500, dtype=np.float32) + gen(x, "large_positive.json") + + x = np.linspace(-0.0001, -0.25, 500, dtype=np.float32) + gen(x, "small_negative.json") + + x = np.linspace(-0.25, -5.0, 500, dtype=np.float32) + gen(x, "medium_negative.json") + + x = np.linspace(-5.0, -100.0, 500, dtype=np.float32) + gen(x, "large_negative.json") + + x = np.linspace(1.0e9, 1.0e12, 500, dtype=np.float32) + gen(x, "very_large.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/small_negative.json b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/small_negative.json new file mode 100644 index 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a/lib/node_modules/@stdlib/math/base/special/sicif/test/test.assign.js b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.assign.js new file mode 100644 index 000000000000..0f6bf08f5fcb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.assign.js @@ -0,0 +1,341 @@ +/** +* @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 HALF_PI = require( '@stdlib/constants/float32/half-pi' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var Float32Array = require( '@stdlib/array/float32' ); +var sicif = require( './../lib/assign.js' ); + + +// FIXTURES // + +var smallPositive = require( './fixtures/python/small_positive.json' ); +var mediumPositive = require( './fixtures/python/medium_positive.json' ); +var largePositive = require( './fixtures/python/large_positive.json' ); +var smallNegative = require( './fixtures/python/small_negative.json' ); +var mediumNegative = require( './fixtures/python/medium_negative.json' ); +var largeNegative = require( './fixtures/python/large_negative.json' ); +var veryLarge = require( './fixtures/python/very_large.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof sicif, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small positive numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = smallPositive.x; + si = smallPositive.si; + ci = smallPositive.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium positive numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = mediumPositive.x; + si = mediumPositive.si; + ci = mediumPositive.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 3, true, 'returns expected value within 3 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 1006, true, 'returns expected value within 1006 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large positive numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = largePositive.x; + si = largePositive.si; + ci = largePositive.ci; + + for ( i = 0; i < 300; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 26, true, 'returns expected value within 26 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small negative numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = smallNegative.x; + si = smallNegative.si; + ci = smallNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium negative numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = mediumNegative.x; + si = mediumNegative.si; + ci = mediumNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 3, true, 'returns expected value within 3 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 1006, true, 'returns expected value within 1006 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large negative numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = largeNegative.x; + si = largeNegative.si; + ci = largeNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 26, true, 'returns expected value within 26 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for very large positive numbers', function test( t ) { + var out; + var si; + var ci; + var x; + var v; + var i; + + x = veryLarge.x; + si = veryLarge.si; + ci = veryLarge.ci; + + for ( i = 0; i < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function returns `[0,-Infinity]` if provided `0`', function test( t ) { + var val; + var out; + + out = [ 0.0, 0.0 ]; + val = sicif( f32( 0.0 ), out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], f32( 0.0 ), 'returns expected value' ); + t.strictEqual( val[ 1 ], NINF, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[-PI/2,NaN]` if provided `-Infinity`', function test( t ) { + var val; + var out; + + out = [ 0.0, 0.0 ]; + val = sicif( NINF, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], -HALF_PI, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[PI/2,0]` if provided `+Infinity`', function test( t ) { + var val; + var out; + + out = [ 0.0, 0.0 ]; + val = sicif( PINF, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], HALF_PI, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[NaN,NaN]` if provided `NaN`', function test( t ) { + var val; + var out; + + out = [ 0.0, 0.0 ]; + val = sicif( NaN, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( isnanf( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports providing an output object (array)', function test( t ) { + var out; + var val; + + out = [ 0.0, 0.0 ]; + val = sicif( f32( 3.0 ), out, 1, 0 ); + + t.strictEqual( val, out, 'returns output object' ); + t.strictEqual( val[ 0 ], f32( 1.8486523628234863 ), 'returns expected value' ); + t.strictEqual( val[ 1 ], f32( 0.1196298599243164 ), 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports providing an output object (typed array)', function test( t ) { + var out; + var val; + + out = new Float32Array( 2 ); + val = sicif( f32( 3.0 ), out, 1, 0 ); + + t.strictEqual( val, out, 'returns output object' ); + t.strictEqual( val[ 0 ], 1.8486523628234863, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0.1196298599243164, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports specifying a stride', function test( t ) { + var out; + var val; + + out = new Float32Array( 4 ); + val = sicif( f32( 3.0 ), out, 2, 0 ); + + t.strictEqual( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], 1.8486523628234863, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0, 'returns expected value' ); + t.strictEqual( val[ 2 ], 0.1196298599243164, 'returns expected value' ); + t.strictEqual( val[ 3 ], 0, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports specifying an offset', function test( t ) { + var out; + var val; + + out = new Float32Array( 4 ); + val = sicif( f32( 3.0 ), out, 2, 1 ); + + t.strictEqual( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], 0, 'returns expected value' ); + t.strictEqual( val[ 1 ], 1.8486523628234863, 'returns expected value' ); + t.strictEqual( val[ 2 ], 0, 'returns expected value' ); + t.strictEqual( val[ 3 ], 0.1196298599243164, 'returns expected value' ); + + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js new file mode 100644 index 000000000000..cdb915b3acd5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js @@ -0,0 +1,40 @@ +/** +* @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 hasOwnProp = require( '@stdlib/assert/has-own-property' ); +var sicif = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof sicif, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is an `assign` method', function test( t ) { + t.strictEqual( hasOwnProp( sicif, 'assign' ), true, 'has property' ); + t.strictEqual( typeof sicif.assign, 'function', 'has method' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/test.main.js b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.main.js new file mode 100644 index 000000000000..5919091d083b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.main.js @@ -0,0 +1,244 @@ +/** +* @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 isArray = require( '@stdlib/assert/is-array' ); +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 HALF_PI = require( '@stdlib/constants/float32/half-pi' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var sicif = require( './../lib/main.js' ); + + +// FIXTURES // + +var smallPositive = require( './fixtures/python/small_positive.json' ); +var mediumPositive = require( './fixtures/python/medium_positive.json' ); +var largePositive = require( './fixtures/python/large_positive.json' ); +var smallNegative = require( './fixtures/python/small_negative.json' ); +var mediumNegative = require( './fixtures/python/medium_negative.json' ); +var largeNegative = require( './fixtures/python/large_negative.json' ); +var veryLarge = require( './fixtures/python/very_large.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof sicif, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small positive numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = smallPositive.x; + si = smallPositive.si; + ci = smallPositive.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium positive numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = mediumPositive.x; + si = mediumPositive.si; + ci = mediumPositive.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 3, true, 'returns expected value within 3 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 1006, true, 'returns expected value within 1006 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large positive numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = largePositive.x; + si = largePositive.si; + ci = largePositive.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 26, true, 'returns expected value within 26 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small negative numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = smallNegative.x; + si = smallNegative.si; + ci = smallNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium negative numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = mediumNegative.x; + si = mediumNegative.si; + ci = mediumNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 3, true, 'returns expected value within 3 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 1006, true, 'returns expected value within 1006 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large negative numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = largeNegative.x; + si = largeNegative.si; + ci = largeNegative.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 26, true, 'returns expected value within 26 ulp' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for very large positive numbers', function test( t ) { + var si; + var ci; + var x; + var v; + var i; + + x = veryLarge.x; + si = veryLarge.si; + ci = veryLarge.ci; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); + + t.strictEqual( ulpdiff( v[ 0 ], si[ i ] ) <= 1, true, 'returns expected value within 1 ulp' ); + t.strictEqual( ulpdiff( v[ 1 ], ci[ i ] ) <= 2, true, 'returns expected value within 2 ulp' ); + } + t.end(); +}); + +tape( 'the function returns `[0,-Infinity]` if provided `0`', function test( t ) { + var val = sicif( f32( 0.0 ) ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( val[ 0 ], f32( 0.0 ), 'returns expected value' ); + t.strictEqual( val[ 1 ], NINF, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[-PI/2,NaN]` if provided `-Infinity`', function test( t ) { + var val = sicif( NINF ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( val[ 0 ], -HALF_PI, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[PI/2,0]` if provided `+Infinity`', function test( t ) { + var val = sicif( PINF ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( val[ 0 ], HALF_PI, 'returns expected value' ); + t.strictEqual( val[ 1 ], f32( 0.0 ), 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[NaN,NaN]` if provided `NaN`', function test( t ) { + var val = sicif( NaN ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( isnanf( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +});