From 62929317977d1161a216e7ae5f00bef7fe15158d Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Fri, 25 Jul 2025 18:13:54 +0530 Subject: [PATCH 1/2] feat: temp commit --- .../@stdlib/math/base/special/sicif/LICENSE | 196 ++++++++++ .../@stdlib/math/base/special/sicif/README.md | 150 +++++++ .../base/special/sicif/benchmark/benchmark.js | 83 ++++ .../special/sicif/benchmark/c/cephes/Makefile | 113 ++++++ .../sicif/benchmark/c/cephes/benchmark.c | 141 +++++++ .../sicif/benchmark/python/scipy/benchmark.py | 97 +++++ .../docs/img/equation_cosine_integral.svg | 55 +++ .../sicif/docs/img/equation_sine_integral.svg | 32 ++ .../math/base/special/sicif/docs/repl.txt | 59 +++ .../base/special/sicif/docs/types/index.d.ts | 103 +++++ .../base/special/sicif/docs/types/test.ts | 112 ++++++ .../math/base/special/sicif/examples/index.js | 32 ++ .../math/base/special/sicif/lib/assign.js | 185 +++++++++ .../math/base/special/sicif/lib/index.js | 68 ++++ .../math/base/special/sicif/lib/main.js | 57 +++ 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.../test/fixtures/python/small_negative.json | 1 + .../test/fixtures/python/small_positive.json | 1 + .../test/fixtures/python/very_large.json | 1 + .../base/special/sicif/test/test.assign.js | 369 ++++++++++++++++++ .../math/base/special/sicif/test/test.js | 40 ++ .../math/base/special/sicif/test/test.main.js | 272 +++++++++++++ 40 files changed, 3118 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/LICENSE create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/benchmark.c create mode 100755 lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py create mode 100644 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lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/medium_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/medium_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/small_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/small_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/very_large.json create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/test.assign.js create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/test.js create mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/test/test.main.js diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/LICENSE b/lib/node_modules/@stdlib/math/base/special/sicif/LICENSE new file mode 100644 index 000000000000..3e825d2f4fbe --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/LICENSE @@ -0,0 +1,196 @@ + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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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..1c76aa5ec9f5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/README.md @@ -0,0 +1,150 @@ + + +# sici + +> Compute the sine and cosine integrals. + +
+ +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 sici = require( '@stdlib/math/base/special/sici' ); +``` + +#### sici( x ) + +Computes the sine and cosine integrals. + +```javascript +var v = sici( 3.0 ); +// returns [ ~1.849, ~0.12 ] + +v = sici( 0.0 ); +// returns [ 0.0, -Infinity ] + +v = sici( -9.0 ); +// returns [ ~-1.665, ~0.055 ] + +v = sici( NaN ); +// returns [ NaN, NaN ] +``` + +#### sici.assign( x, out, stride, offset ) + +Computes the sine and cosine integrals and assigns results to a provided output array. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var out = new Float64Array( 2 ); + +var v = sici.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 sici = require( '@stdlib/math/base/special/sici' ); + +var x; +var y; +var i; + +for ( i = 0; i < 100; i++ ) { + x = randu() * 100.0; + y = sici( 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..b7e0358b6e33 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js @@ -0,0 +1,83 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var sici = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -50.0, 50.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = sici( x[ i%x.length ] ); + if ( isnan( y[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( !isArray( y ) ) { + b.fail( 'should return an array' ); + } + if ( isnan( y[ 0 ] ) || isnan( 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 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = sici.assign( x[ i%x.length ], out, 1, 0 ); + if ( isnan( y[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( !isArray( y ) || y !== out ) { + b.fail( 'should return the output array' ); + } + if ( isnan( y[ 0 ] ) || isnan( 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..60e93ff57ffd --- /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) 2018 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..4f8e29437823 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/c/cephes/benchmark.c @@ -0,0 +1,141 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 "sici" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Define prototypes for external functions. +*/ +extern int sici( double x, double *si, double *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 [0,1). +* +* @return random number +*/ +static double rand_double( void ) { + int r = rand(); + return (double)r / ( (double)RAND_MAX + 1.0 ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + double x[ 100 ]; + double elapsed; + double y; + double z; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = ( 100.0*rand_double() ) - 50.0; + } + + 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/benchmark/python/scipy/benchmark.py b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py new file mode 100755 index 000000000000..cdac11b262fd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2018 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 scipy.special.sici.""" + +from __future__ import print_function +import timeit + +NAME = "sici" +REPEATS = 3 +ITERATIONS = 1000000 + + +def print_version(): + """Print the TAP version.""" + print("TAP version 13") + + +def print_summary(total, passing): + """Print the benchmark summary. + + # Arguments + + * `total`: total number of tests + * `passing`: number of passing tests + + """ + print("#") + print("1.." + str(total)) # TAP plan + print("# total " + str(total)) + print("# pass " + str(passing)) + print("#") + print("# ok") + + +def print_results(elapsed): + """Print benchmark results. + + # Arguments + + * `elapsed`: elapsed time (in seconds) + + # Examples + + ``` python + python> print_results(0.131009101868) + ``` + """ + rate = ITERATIONS / elapsed + + print(" ---") + print(" iterations: " + str(ITERATIONS)) + print(" elapsed: " + str(elapsed)) + print(" rate: " + str(rate)) + print(" ...") + + +def benchmark(): + """Run the benchmark and print benchmark results.""" + setup = "from scipy.special import sici; from random import random;" + stmt = "y = sici(100.0*random()-50.0)" + + t = timeit.Timer(stmt, setup=setup) + + print_version() + + for i in range(REPEATS): + print("# python::scipy::" + NAME) + elapsed = t.timeit(number=ITERATIONS) + print_results(elapsed) + print("ok " + str(i+1) + " benchmark finished") + + print_summary(REPEATS, REPEATS) + + +def main(): + """Run the benchmark.""" + benchmark() + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg new file mode 100644 index 000000000000..61271547c8ee --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg @@ -0,0 +1,55 @@ + +gamma plus log left-parenthesis x right-parenthesis plus integral Subscript 0 Superscript x Baseline StartFraction cosine t minus 1 Over t EndFraction d t + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg new file mode 100644 index 000000000000..6de9511dfb01 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg @@ -0,0 +1,32 @@ + +integral Subscript 0 Superscript x Baseline StartFraction sine t Over t EndFraction d t + + + \ No newline at end of file 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..822657e5181a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/repl.txt @@ -0,0 +1,59 @@ + +{{alias}}( x ) + Computes the sine and cosine integrals. + + 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 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/float64}}( 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..93ec4723d47e --- /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) 2019 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 `sici`. +*/ +interface Sici { + /** + * Computes the sine and cosine integrals. + * + * @param x - input value + * @returns output array + * + * @example + * var v = sici( 3.0 ); + * // returns [ ~1.849, ~0.12 ] + * + * @example + * var v = sici( 0.0 ); + * // returns [ 0.0, -Infinity ] + * + * @example + * var v = sici( -9.0 ); + * // returns [ ~-1.665, ~0.055 ] + * + * @example + * var v = sici( NaN ); + * // returns [ NaN, NaN ] + */ + ( x: number ): Array; + + /** + * Computes the sine and cosine integrals. + * + * @param x - input value + * @param out - output array + * @param stride - output array stride + * @param offset - output array index offset + * @returns output array + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var out = new Float64Array( 2 ); + * + * var v = sici.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. +* +* @param x - input value +* @returns output array +* +* @example +* var v = sici( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sici( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sici( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sici( NaN ); +* // returns [ NaN, NaN ] +*/ +declare var sici: Sici; + + +// EXPORTS // + +export = sici; 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..51d0c1ceca29 --- /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) 2019 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 sici = require( './index' ); + + +// TESTS // + +// The function returns a collection... +{ + sici( 1.0 ); // $ExpectType number[] +} + +// The compiler throws an error if the function is provided a last argument other than a number... +{ + sici( true ); // $ExpectError + sici( false ); // $ExpectError + sici( null ); // $ExpectError + sici( undefined ); // $ExpectError + sici( '5' ); // $ExpectError + sici( [] ); // $ExpectError + sici( {} ); // $ExpectError + sici( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + sici(); // $ExpectError +} + +// Attached to the main export is an `assign` method which returns an array-like object containing numbers... +{ + const out = [ 0.0, 0.0 ]; + + sici.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 ]; + + sici.assign( true, out, 1, 0 ); // $ExpectError + sici.assign( false, out, 1, 0 ); // $ExpectError + sici.assign( '5', out, 1, 0 ); // $ExpectError + sici.assign( null, out, 1, 0 ); // $ExpectError + sici.assign( [], out, 1, 0 ); // $ExpectError + sici.assign( {}, out, 1, 0 ); // $ExpectError + sici.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... +{ + sici.assign( 1.0, 1, 1, 0 ); // $ExpectError + sici.assign( 1.0, true, 1, 0 ); // $ExpectError + sici.assign( 1.0, false, 1, 0 ); // $ExpectError + sici.assign( 1.0, null, 1, 0 ); // $ExpectError + sici.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 ]; + + sici.assign( 1.0, out, '5', 0 ); // $ExpectError + sici.assign( 1.0, out, true, 0 ); // $ExpectError + sici.assign( 1.0, out, false, 0 ); // $ExpectError + sici.assign( 1.0, out, null, 0 ); // $ExpectError + sici.assign( 1.0, out, [], 0 ); // $ExpectError + sici.assign( 1.0, out, {}, 0 ); // $ExpectError + sici.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 ]; + + sici.assign( 1.0, out, 1, '5' ); // $ExpectError + sici.assign( 1.0, out, 1, true ); // $ExpectError + sici.assign( 1.0, out, 1, false ); // $ExpectError + sici.assign( 1.0, out, 1, null ); // $ExpectError + sici.assign( 1.0, out, 1, [] ); // $ExpectError + sici.assign( 1.0, out, 1, {} ); // $ExpectError + sici.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 ]; + + sici.assign(); // $ExpectError + sici.assign( 1.0 ); // $ExpectError + sici.assign( 1.0, out ); // $ExpectError + sici.assign( 1.0, out, 1 ); // $ExpectError + sici.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..4d5d9d366439 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js @@ -0,0 +1,32 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 sici = require( './../lib' ); + +var x; +var y; +var i; + +for ( i = 0; i < 100; i++ ) { + x = randu() * 100.0; + y = sici( 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..9650e932dd57 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js @@ -0,0 +1,185 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 isInfinite = require( '@stdlib/math/base/assert/is-infinite' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var cos = require( '@stdlib/math/base/special/cos' ); +var sin = require( '@stdlib/math/base/special/sin' ); +var ln = require( '@stdlib/math/base/special/ln' ); +var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); +var GAMMA = require( '@stdlib/constants/float64/eulergamma' ); +var NINF = require( '@stdlib/constants/float64/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' ); + + +// MAIN // + +/** +* Computes the sine and cosine integrals 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 | 4.4e-16 | 7.3e-17 | +* | IEEE | Ci | 30000 | 6.9e-16 | 5.1e-17 | +* +* @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 = sici( 3.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sici( 0.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sici( -9.0, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sici( NaN, [ 0.0, 0.0 ], 1, 0 ); +* // returns [ NaN, NaN ] +*/ +function sici( x, out, stride, offset ) { + var sgn; + var si; + var ci; + var c; + var f; + var g; + var s; + var z; + + if ( isnan( x ) ) { + out[ offset ] = NaN; + out[ offset + stride ] = NaN; + return out; + } + if ( x < 0.0 ) { + sgn = -1; + x = -x; + } else { + sgn = 0; + } + if ( x === 0.0 ) { + out[ offset ] = 0.0; + out[ offset + stride ] = NINF; + return out; + } + if ( x > 1.0e9 ) { + if ( isInfinite( x ) ) { + if ( sgn === -1 ) { + si = -HALF_PI; + ci = NaN; + } else { + si = HALF_PI; + ci = 0.0; + } + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; + } + si = HALF_PI - ( cos( x ) / x ); + ci = sin( x ) / x; + } + if ( x > 4.0 ) { + s = sin( x ); + c = cos( x ); + z = 1.0 / ( x*x ); + if ( x < 8.0 ) { + f = polyvalFN4( z ) / ( x * polyvalFD4( z ) ); + g = z * polyvalGN4( z ) / polyvalGD4( z ); + } else { + f = polyvalFN8( z ) / ( x * polyvalFD8( z ) ); + g = z * polyvalGN8( z ) / polyvalGD8( z ); + } + si = HALF_PI - ( f*c ) - ( g*s ); + if ( sgn ) { + si = -si; + } + ci = ( f*s ) - ( g*c ); + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; + } + z = x * x; + s = x * polyvalSN( z ) / polyvalSD( z ); + c = z * polyvalCN( z ) / polyvalCD( z ); + if ( sgn ) { + s = -s; + } + si = s; + ci = GAMMA + ln( x ) + c; // real part if x < 0 + out[ offset ] = si; + out[ offset + stride ] = ci; + return out; +} + + +// EXPORTS // + +module.exports = sici; 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..a55e573743f0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js @@ -0,0 +1,68 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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. +* +* @module @stdlib/math/base/special/sici +* +* @example +* var sici = require( '@stdlib/math/base/special/sici' ); +* +* var v = sici( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* v = sici( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* v = sici( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* v = sici( NaN ); +* // returns [ NaN, NaN ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var sici = require( '@stdlib/math/base/special/sici' ); +* +* var out = new Float64Array( 2 ); +* +* var v = sici.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..214d93bc95ec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js @@ -0,0 +1,57 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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. +* +* @param {number} x - input value +* @returns {Array} output array +* +* @example +* var v = sici( 3.0 ); +* // returns [ ~1.849, ~0.12 ] +* +* @example +* var v = sici( 0.0 ); +* // returns [ 0.0, -Infinity ] +* +* @example +* var v = sici( -9.0 ); +* // returns [ ~-1.665, ~0.055 ] +* +* @example +* var v = sici( NaN ); +* // returns [ NaN, NaN ] +*/ +function sici( x ) { + return fcn( x, [ 0.0, 0.0 ], 1, 0 ); +} + + +// EXPORTS // + +module.exports = sici; 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..e95072169b1e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cd.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 4.0 + (x * (0.051002805623644606 + (x * (0.00031744202477503275 + (x * (0.0000012321035568588342 + (x * (3.067809975818878e-9 + (x * 4.077460400618806e-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..861b7f93bcdb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_cn.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 -1.0 + (x * (0.028915965260755523 + (x * (-0.0004740072068734079 + (x * (0.000003593250514199931 + (x * (-1.3524950491579076e-8 + (x * 2.0252400238910228e-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..24923d10cbfd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd4.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 5.489002527562557e-7; + } + return 5.489002527562557e-7 + (x * (0.00011003435715391573 + (x * (0.007017106683227897 + (x * (0.1787920529631499 + (x * (1.867922579501842 + (x * (7.308288225055645 + (x * (8.16496634205391 + (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..25e572c95a1c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fd8.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 9.70507110881952e-14; + } + return 9.70507110881952e-14 + (x * (9.437205903502767e-11 + (x * (3.21956939101046e-8 + (x * (0.000004924350643178815 + (x * (0.00035869648188185157 + (x * (0.012225359477197129 + (x * (0.17868554533207454 + (x * (0.9174636118736841 + (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..558a4d60a23f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn4.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 5.489002234213736e-7; + } + return 5.489002234213736e-7 + (x * (0.00010893658065032867 + (x * (0.006810201324725182 + (x * (0.16700661183132304 + (x * (1.6208328770153833 + (x * (5.4593771716181285 + (x * 4.236128628922166))))))))))); // 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..ba0555558eac --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_fn8.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 9.70507110881952e-14; + } + return 9.70507110881952e-14 + (x * (9.41779576128513e-11 + (x * (3.200927900910049e-8 + (x * (0.0000048621543082645475 + (x * (0.00034955644244785906 + (x * (0.01160642294081244 + (x * (0.16030015822231947 + (x * (0.7137152741001467 + (x * 0.4558808734704653))))))))))))))); // 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..9adc7ef12ac1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd4.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 7.825792189335346e-9; + } + return 7.825792189335346e-9 + (x * (0.0000020265918208634397 + (x * (0.0001732210814741771 + (x * (0.006223963454417684 + (x * (0.09887717612776888 + (x * (0.666296701268988 + (x * (1.6440220241335535 + (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..75b0e8715f78 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gd8.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 3.1404009894636335e-15; + } + return 3.1404009894636335e-15 + (x * (3.878301660239547e-12 + (x * (1.7269374896631615e-9 + (x * (3.5704322344374083e-7 + (x * (0.00003684755044425611 + (x * (0.0019028442667439953 + (x * (0.04679131942596258 + (x * (0.48785225869530496 + (x * (1.6854889881101165 + (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..95576754ee9d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn4.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 7.825790407440903e-9; + } + return 7.825790407440903e-9 + (x * (0.0000019796387414096365 + (x * (0.00016199979459893403 + (x * (0.005388686814621773 + (x * (0.07485277376284691 + (x * (0.3971802963923375 + (x * (0.6113791099522193 + (x * 0.08710016989731142))))))))))))); // 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..0659af0fc541 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_gn8.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 3.1404009894636335e-15; + } + return 3.1404009894636335e-15 + (x * (3.859459254302766e-12 + (x * (1.7040445278204452e-9 + (x * (3.471311670841167e-7 + (x * (0.000034894116550227946 + (x * (0.001717182390523479 + (x * (0.03848787676499743 + (x * (0.33041097930563207 + (x * 0.6973599534432762))))))))))))))); // 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..6321dfc1a848 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sd.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 1.0 + (x * (0.01420852393261499 + (x * (0.00009964121220438756 + (x * (4.418278428012189e-7 + (x * (1.279978911799433e-9 + (x * 2.0326926619595193e-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..407c288f3661 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/polyval_sn.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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'; + +// 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 1.0 + (x * (-0.04134703162294066 + (x * (0.0009769454381704354 + (x * (-0.000009757593038436328 + (x * (4.625917144270128e-8 + (x * -8.391678279103039e-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..ce4c1080a296 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/package.json @@ -0,0 +1,67 @@ +{ + "name": "@stdlib/math/base/special/sici", + "version": "0.0.0", + "description": "Sine and cosine integrals.", + "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", + "sici", + "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..0099cbad4f69 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js @@ -0,0 +1,226 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 = { + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'polyval_sn.js' ); + str = header + compile( SN ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_sd.js' ); + str = header + compile( SD ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_cn.js' ); + str = header + compile( CN ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_cd.js' ); + str = header + compile( CD ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fn4.js' ); + str = header + compile( FN4 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fd4.js' ); + str = header + compile( FD4 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fn8.js' ); + str = header + compile( FN8 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_fd8.js' ); + str = header + compile( FD8 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gn4.js' ); + str = header + compile( GN4 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gd4.js' ); + str = header + compile( GD4 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gn8.js' ); + str = header + compile( GN8 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_gd8.js' ); + str = header + compile( GD8 ); + writeFileSync( fpath, str, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json new file mode 100644 index 000000000000..6c27ff4de5e9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json @@ -0,0 +1 @@ +{"x": [-5.0, -5.190380761523046, -5.380761523046092, -5.571142284569138, -5.761523046092185, -5.95190380761523, -6.142284569138276, -6.332665330661323, -6.5230460921843685, -6.713426853707415, -6.903807615230461, -7.094188376753507, -7.284569138276553, -7.474949899799599, -7.6653306613226455, -7.855711422845691, -8.046092184368737, -8.236472945891784, -8.42685370741483, -8.617234468937875, -8.807615230460922, -8.997995991983968, -9.188376753507015, -9.37875751503006, -9.569138276553106, -9.759519038076153, -9.949899799599198, -10.140280561122244, -10.330661322645291, -10.521042084168336, -10.711422845691382, -10.901803607214429, -11.092184368737474, -11.28256513026052, -11.472945891783567, -11.663326653306612, 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-0.1900297496566439]} diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py new file mode 100644 index 000000000000..cd17b06e9f9b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py @@ -0,0 +1,90 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2018 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.special import 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) + gen(x, "small_positive.json") + + x = np.linspace(0.25, 5.0, 500) + gen(x, "medium_positive.json") + + x = np.linspace(5.0, 100.0, 500) + gen(x, "large_positive.json") + + x = np.linspace(-0.0001, -0.25, 500) + gen(x, "small_negative.json") + + x = np.linspace(-0.25, -5.0, 500) + gen(x, "medium_negative.json") + + x = np.linspace(-5.0, -100.0, 500) + gen(x, "large_negative.json") + + x = np.linspace(1.0e9, 1.0e12, 500) + 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 000000000000..a098a7507e05 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/small_negative.json @@ -0,0 +1 @@ +{"x": [-0.0001, -0.0006008016032064129, -0.0011016032064128257, -0.0016024048096192386, -0.002103206412825651, -0.002604008016032064, 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-1.0186305307262668e-13, 1.2210190228896175e-13, 3.394475613440018e-13, 5.399623930376072e-13, 7.145944784533154e-13, 8.551910650122571e-13, 9.552926319967956e-13, 1.010513059261835e-12, 1.0183926397793412e-12, 9.787915983906892e-13, 8.937072826775002e-13, 7.672988167270301e-13, 6.05725693422866e-13, 4.164828451363242e-13, 2.08584826789353e-13, -8.078492251210672e-15, -2.2361403671504814e-13, -4.278584418719301e-13, -6.112387023776809e-13]} diff --git 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..139206e8abad --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.assign.js @@ -0,0 +1,369 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var Float64Array = require( '@stdlib/array/float64' ); +var sici = 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 sici, '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 delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium positive numbers', function test( t ) { + var delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 60.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 60.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large positive numbers', function test( t ) { + var delta; + var tol; + 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 < x.length; i++ ) { + out = [ 0.0, 0.0 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small negative numbers', function test( t ) { + var delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium negative numbers', function test( t ) { + var delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 60.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 60.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large negative numbers', function test( t ) { + var delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for very large positive numbers', function test( t ) { + var delta; + var tol; + 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 ]; + v = sici( x[ i ], out, 1, 0 ); + t.equal( v, out, 'returns output array' ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function returns `[0,-Infinity]` if provided `0`', function test( t ) { + var val; + var out; + + out = [ 0.0, 0.0 ]; + val = sici( 0.0, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], 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 = sici( NINF, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], -HALF_PI, 'returns expected value' ); + t.strictEqual( isnan( 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 = sici( 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 = sici( NaN, out, 1, 0 ); + t.equal( val, out, 'returns output array' ); + t.strictEqual( isnan( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnan( 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 = sici( 3.0, out, 1, 0 ); + + t.strictEqual( val, out, 'returns output object' ); + t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0.11962978600800023, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports providing an output object (typed array)', function test( t ) { + var out; + var val; + + out = new Float64Array( 2 ); + val = sici( 3.0, out, 1, 0 ); + + t.strictEqual( val, out, 'returns output object' ); + t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0.11962978600800023, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports specifying a stride', function test( t ) { + var out; + var val; + + out = new Float64Array( 4 ); + val = sici( 3.0, out, 2, 0 ); + + t.strictEqual( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0, 'returns expected value' ); + t.strictEqual( val[ 2 ], 0.11962978600800023, '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 Float64Array( 4 ); + val = sici( 3.0, out, 2, 1 ); + + t.strictEqual( val, out, 'returns output array' ); + t.strictEqual( val[ 0 ], 0, 'returns expected value' ); + t.strictEqual( val[ 1 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 2 ], 0, 'returns expected value' ); + t.strictEqual( val[ 3 ], 0.11962978600800023, '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..108b083547ff --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js @@ -0,0 +1,40 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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 sici = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof sici, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is an `assign` method', function test( t ) { + t.strictEqual( hasOwnProp( sici, 'assign' ), true, 'has property' ); + t.strictEqual( typeof sici.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..99080aae05d8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.main.js @@ -0,0 +1,272 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var sici = 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 sici, '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 delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium positive numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 60.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 60.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large positive numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for small negative numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for medium negative numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 60.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 60.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for large negative numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function computes the sine and cosine integrals for very large positive numbers', function test( t ) { + var delta; + var tol; + 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++ ) { + v = sici( x[ i ] ); + + delta = abs( v[ 0 ] - si[ i ] ); + tol = 2.0 * EPS * abs( si[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + + delta = abs( v[ 1 ] - ci[ i ] ); + tol = 2.0 * EPS * abs( ci[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + } + t.end(); +}); + +tape( 'the function returns `[0,-Infinity]` if provided `0`', function test( t ) { + var val = sici( 0.0 ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( val[ 0 ], 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 = sici( NINF ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( val[ 0 ], -HALF_PI, 'returns expected value' ); + t.strictEqual( isnan( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `[PI/2,0]` if provided `+Infinity`', function test( t ) { + var val = sici( PINF ); + t.strictEqual( isArray( val ), true, 'returns an 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 = sici( NaN ); + t.strictEqual( isArray( val ), true, 'returns an array' ); + t.strictEqual( isnan( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnan( val[ 1 ] ), true, 'returns expected value' ); + t.end(); +}); From 34d60c6da76327e1f8aa8b0524585eb53f351d2c Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Sat, 26 Jul 2025 13:18:28 +0530 Subject: [PATCH 2/2] feat: add JS implementation for `math/base/special/sicif` --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: passed - task: lint_package_json status: passed - task: lint_repl_help status: passed - task: lint_javascript_src status: passed - task: lint_javascript_cli status: na - task: lint_javascript_examples status: passed - task: lint_javascript_tests status: passed - task: lint_javascript_benchmarks status: passed - task: lint_python status: passed - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: passed - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: passed - task: lint_typescript_tests status: passed - task: lint_license_headers status: passed --- --- .../@stdlib/math/base/special/sicif/README.md | 46 ++--- .../base/special/sicif/benchmark/benchmark.js | 26 +-- .../special/sicif/benchmark/c/cephes/Makefile | 2 +- .../sicif/benchmark/c/cephes/benchmark.c | 26 +-- .../sicif/benchmark/python/scipy/benchmark.py | 97 ---------- .../docs/img/equation_cosine_integral.svg | 55 ------ .../sicif/docs/img/equation_sine_integral.svg | 32 ---- .../math/base/special/sicif/docs/repl.txt | 11 +- .../base/special/sicif/docs/types/index.d.ts | 40 ++-- .../base/special/sicif/docs/types/test.ts | 88 ++++----- .../math/base/special/sicif/examples/index.js | 6 +- .../math/base/special/sicif/lib/assign.js | 105 +++++----- .../math/base/special/sicif/lib/index.js | 26 +-- .../math/base/special/sicif/lib/main.js | 16 +- .../math/base/special/sicif/lib/polyval_cd.js | 9 +- .../math/base/special/sicif/lib/polyval_cn.js | 9 +- .../base/special/sicif/lib/polyval_fd4.js | 11 +- .../base/special/sicif/lib/polyval_fd8.js | 11 +- .../base/special/sicif/lib/polyval_fn4.js | 11 +- .../base/special/sicif/lib/polyval_fn8.js | 11 +- .../base/special/sicif/lib/polyval_gd4.js | 11 +- .../base/special/sicif/lib/polyval_gd8.js | 11 +- .../base/special/sicif/lib/polyval_gn4.js | 11 +- .../base/special/sicif/lib/polyval_gn8.js | 11 +- .../math/base/special/sicif/lib/polyval_sd.js | 9 +- .../math/base/special/sicif/lib/polyval_sn.js | 9 +- .../math/base/special/sicif/package.json | 6 +- .../base/special/sicif/scripts/evalpoly.js | 27 +-- .../test/fixtures/python/large_negative.json | 2 +- .../test/fixtures/python/large_positive.json | 2 +- .../test/fixtures/python/medium_negative.json | 2 +- .../test/fixtures/python/medium_positive.json | 2 +- .../sicif/test/fixtures/python/runner.py | 16 +- .../test/fixtures/python/small_negative.json | 2 +- .../test/fixtures/python/small_positive.json | 2 +- .../test/fixtures/python/very_large.json | 2 +- .../base/special/sicif/test/test.assign.js | 180 ++++++++---------- .../math/base/special/sicif/test/test.js | 10 +- .../math/base/special/sicif/test/test.main.js | 148 ++++++-------- 39 files changed, 465 insertions(+), 636 deletions(-) delete mode 100755 lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py delete mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg delete mode 100644 lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/README.md b/lib/node_modules/@stdlib/math/base/special/sicif/README.md index 1c76aa5ec9f5..a2d9529614cd 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sicif/README.md @@ -2,7 +2,7 @@ @license Apache-2.0 -Copyright (c) 2018 The Stdlib Authors. +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. @@ -18,9 +18,9 @@ limitations under the License. --> -# sici +# sicif -> Compute the sine and cosine integrals. +> Compute the sine and cosine integrals in single-precision floating-point format.
@@ -32,11 +32,6 @@ The sine integral is defined as \int_0^x \frac{\sin t}{t}\; dt ``` - - and the cosine integral is defined as @@ -47,11 +42,6 @@ and the cosine integral is defined as \gamma + \log( x ) + \int_0^x \frac{\cos t - 1}{t}\; dt ``` - - where `γ` is the [Euler-Mascheroni][eulergamma] constant. @@ -65,38 +55,38 @@ where `γ` is the [Euler-Mascheroni][eulergamma] constant. ## Usage ```javascript -var sici = require( '@stdlib/math/base/special/sici' ); +var sicif = require( '@stdlib/math/base/special/sicif' ); ``` -#### sici( x ) +#### sicif( x ) -Computes the sine and cosine integrals. +Computes the sine and cosine integrals in single-precision floating-point format. ```javascript -var v = sici( 3.0 ); +var v = sicif( 3.0 ); // returns [ ~1.849, ~0.12 ] -v = sici( 0.0 ); +v = sicif( 0.0 ); // returns [ 0.0, -Infinity ] -v = sici( -9.0 ); +v = sicif( -9.0 ); // returns [ ~-1.665, ~0.055 ] -v = sici( NaN ); +v = sicif( NaN ); // returns [ NaN, NaN ] ``` -#### sici.assign( x, out, stride, offset ) +#### sicif.assign( x, out, stride, offset ) -Computes the sine and cosine integrals and assigns results to a provided output array. +Computes the sine and cosine integrals in single-precision floating-point format and assigns results to a provided output array. ```javascript -var Float64Array = require( '@stdlib/array/float64' ); +var Float32Array = require( '@stdlib/array/float32' ); -var out = new Float64Array( 2 ); +var out = new Float32Array( 2 ); -var v = sici.assign( 3.0, out, 1, 0 ); -// returns [ ~1.849, ~0.12 ] +var v = sicif.assign( 3.0, out, 1, 0 ); +// returns [ ~1.849, ~0.12 ] var bool = ( v === out ); // returns true @@ -114,7 +104,7 @@ var bool = ( v === out ); ```javascript var randu = require( '@stdlib/random/base/randu' ); -var sici = require( '@stdlib/math/base/special/sici' ); +var sicif = require( '@stdlib/math/base/special/sicif' ); var x; var y; @@ -122,7 +112,7 @@ var i; for ( i = 0; i < 100; i++ ) { x = randu() * 100.0; - y = sici( x ); + 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/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js index b7e0358b6e33..1d76745bc700 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/benchmark.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -23,9 +23,9 @@ var bench = require( '@stdlib/bench' ); var uniform = require( '@stdlib/random/array/uniform' ); var isArray = require( '@stdlib/assert/is-array' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); var pkg = require( './../package.json' ).name; -var sici = require( './../lib' ); +var sicif = require( './../lib' ); // MAIN // @@ -35,12 +35,14 @@ bench( pkg, function benchmark( b ) { var y; var i; - x = uniform( 100, -50.0, 50.0 ); + x = uniform( 100, -50.0, 50.0, { + 'dtype': 'float32' + }); b.tic(); for ( i = 0; i < b.iterations; i++ ) { - y = sici( x[ i%x.length ] ); - if ( isnan( y[ 0 ] ) ) { + y = sicif( x[ i%x.length ] ); + if ( isnanf( y[ 0 ] ) ) { b.fail( 'should not return NaN' ); } } @@ -48,7 +50,7 @@ bench( pkg, function benchmark( b ) { if ( !isArray( y ) ) { b.fail( 'should return an array' ); } - if ( isnan( y[ 0 ] ) || isnan( y[ 1 ] ) ) { + if ( isnanf( y[ 0 ] ) || isnanf( y[ 1 ] ) ) { b.fail( 'should not return NaN' ); } b.pass( 'benchmark finished' ); @@ -62,12 +64,14 @@ bench( pkg+':assign', function benchmark( b ) { var i; out = [ 0.0, 0.0 ]; - x = uniform( 100, -50.0, 50.0 ); + x = uniform( 100, -50.0, 50.0, { + 'dtype': 'float32' + }); b.tic(); for ( i = 0; i < b.iterations; i++ ) { - y = sici.assign( x[ i%x.length ], out, 1, 0 ); - if ( isnan( y[ 0 ] ) ) { + y = sicif.assign( x[ i%x.length ], out, 1, 0 ); + if ( isnanf( y[ 0 ] ) ) { b.fail( 'should not return NaN' ); } } @@ -75,7 +79,7 @@ bench( pkg+':assign', function benchmark( b ) { if ( !isArray( y ) || y !== out ) { b.fail( 'should return the output array' ); } - if ( isnan( y[ 0 ] ) || isnan( y[ 1 ] ) ) { + if ( isnanf( y[ 0 ] ) || isnanf( y[ 1 ] ) ) { b.fail( 'should not return NaN' ); } b.pass( 'benchmark finished' ); 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 index 60e93ff57ffd..59023faf1628 100644 --- 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 @@ -1,7 +1,7 @@ #/ # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index 4f8e29437823..37d9db42df0e 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -22,14 +22,14 @@ #include #include -#define NAME "sici" +#define NAME "sicif" #define ITERATIONS 1000000 #define REPEATS 3 /** * Define prototypes for external functions. */ -extern int sici( double x, double *si, double *ci ); +extern int sici( float x, float *si, float *ci ); /** * Prints the TAP version. @@ -79,13 +79,15 @@ static double tic( void ) { } /** -* Generates a random number on the interval [0,1). +* Generates a random number on the interval [min,max). * -* @return random number +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number */ -static double rand_double( void ) { - int r = rand(); - return (double)r / ( (double)RAND_MAX + 1.0 ); +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); } /** @@ -94,15 +96,15 @@ static double rand_double( void ) { * @return elapsed time in seconds */ static double benchmark( void ) { - double x[ 100 ]; double elapsed; - double y; - double z; + float x[ 100 ]; double t; + float y; + float z; int i; for ( i = 0; i < 100; i++ ) { - x[ i ] = ( 100.0*rand_double() ) - 50.0; + x[ i ] = random_uniform( -50.0f, 50.0f ); } t = tic(); diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py b/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py deleted file mode 100755 index cdac11b262fd..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/sicif/benchmark/python/scipy/benchmark.py +++ /dev/null @@ -1,97 +0,0 @@ -#!/usr/bin/env python -# -# @license Apache-2.0 -# -# Copyright (c) 2018 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 scipy.special.sici.""" - -from __future__ import print_function -import timeit - -NAME = "sici" -REPEATS = 3 -ITERATIONS = 1000000 - - -def print_version(): - """Print the TAP version.""" - print("TAP version 13") - - -def print_summary(total, passing): - """Print the benchmark summary. - - # Arguments - - * `total`: total number of tests - * `passing`: number of passing tests - - """ - print("#") - print("1.." + str(total)) # TAP plan - print("# total " + str(total)) - print("# pass " + str(passing)) - print("#") - print("# ok") - - -def print_results(elapsed): - """Print benchmark results. - - # Arguments - - * `elapsed`: elapsed time (in seconds) - - # Examples - - ``` python - python> print_results(0.131009101868) - ``` - """ - rate = ITERATIONS / elapsed - - print(" ---") - print(" iterations: " + str(ITERATIONS)) - print(" elapsed: " + str(elapsed)) - print(" rate: " + str(rate)) - print(" ...") - - -def benchmark(): - """Run the benchmark and print benchmark results.""" - setup = "from scipy.special import sici; from random import random;" - stmt = "y = sici(100.0*random()-50.0)" - - t = timeit.Timer(stmt, setup=setup) - - print_version() - - for i in range(REPEATS): - print("# python::scipy::" + NAME) - elapsed = t.timeit(number=ITERATIONS) - print_results(elapsed) - print("ok " + str(i+1) + " benchmark finished") - - print_summary(REPEATS, REPEATS) - - -def main(): - """Run the benchmark.""" - benchmark() - - -if __name__ == "__main__": - main() diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg deleted file mode 100644 index 61271547c8ee..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_cosine_integral.svg +++ /dev/null @@ -1,55 +0,0 @@ - -gamma plus log left-parenthesis x right-parenthesis plus integral Subscript 0 Superscript x Baseline StartFraction cosine t minus 1 Over t EndFraction d t - - - \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg b/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg deleted file mode 100644 index 6de9511dfb01..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/sicif/docs/img/equation_sine_integral.svg +++ /dev/null @@ -1,32 +0,0 @@ - -integral Subscript 0 Superscript x Baseline StartFraction sine t Over t EndFraction d t - - - \ No newline at end of file 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 index 822657e5181a..d26a8055a8aa 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/sicif/docs/repl.txt @@ -1,6 +1,7 @@ {{alias}}( x ) - Computes the sine and cosine integrals. + Computes the sine and cosine integrals in single-precision floating-point + format. Parameters ---------- @@ -25,8 +26,8 @@ {{alias}}.assign( x, out, stride, offset ) - Computes the sine and cosine integrals and assigns results to a provided - output array. + Computes the sine and cosine integrals in single-precision floating-point + format and assigns results to a provided output array. Parameters ---------- @@ -49,9 +50,9 @@ Examples -------- - > var out = new {{alias:@stdlib/array/float64}}( 2 ); + > var out = new {{alias:@stdlib/array/float32}}( 2 ); > var y = {{alias}}.assign( 3.0, out, 1, 0 ) - [ ~1.849, ~0.12 ] + [ ~1.849, ~0.12 ] > var bool = ( y === out ) true 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 index 93ec4723d47e..45536bea4ae7 100644 --- 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 @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* 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. @@ -23,35 +23,35 @@ import { Collection } from '@stdlib/types/array'; /** -* Interface describing `sici`. +* Interface describing `sicif`. */ -interface Sici { +interface Sicif { /** - * Computes the sine and cosine integrals. + * Computes the sine and cosine integrals in single-precision floating-point format. * * @param x - input value * @returns output array * * @example - * var v = sici( 3.0 ); + * var v = sicif( 3.0 ); * // returns [ ~1.849, ~0.12 ] * * @example - * var v = sici( 0.0 ); + * var v = sicif( 0.0 ); * // returns [ 0.0, -Infinity ] * * @example - * var v = sici( -9.0 ); + * var v = sicif( -9.0 ); * // returns [ ~-1.665, ~0.055 ] * * @example - * var v = sici( NaN ); + * var v = sicif( NaN ); * // returns [ NaN, NaN ] */ ( x: number ): Array; /** - * Computes the sine and cosine integrals. + * 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 @@ -60,12 +60,12 @@ interface Sici { * @returns output array * * @example - * var Float64Array = require( '@stdlib/array/float64' ); + * var Float32Array = require( '@stdlib/array/float32' ); * - * var out = new Float64Array( 2 ); + * var out = new Float32Array( 2 ); * - * var v = sici.assign( 3.0, out, 1, 0 ); - * // returns [ ~1.849, ~0.12 ] + * var v = sicif.assign( 3.0, out, 1, 0 ); + * // returns [ ~1.849, ~0.12 ] * * var bool = ( v === out ); * // returns true @@ -74,30 +74,30 @@ interface Sici { } /** -* Computes the sine and cosine integrals. +* Computes the sine and cosine integrals in single-precision floating-point format. * * @param x - input value * @returns output array * * @example -* var v = sici( 3.0 ); +* var v = sicif( 3.0 ); * // returns [ ~1.849, ~0.12 ] * * @example -* var v = sici( 0.0 ); +* var v = sicif( 0.0 ); * // returns [ 0.0, -Infinity ] * * @example -* var v = sici( -9.0 ); +* var v = sicif( -9.0 ); * // returns [ ~-1.665, ~0.055 ] * * @example -* var v = sici( NaN ); +* var v = sicif( NaN ); * // returns [ NaN, NaN ] */ -declare var sici: Sici; +declare var sicif: Sicif; // EXPORTS // -export = sici; +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 index 51d0c1ceca29..3d87e29db6b8 100644 --- 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 @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* 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. @@ -18,95 +18,95 @@ /// -import sici = require( './index' ); +import sicif = require( './index' ); // TESTS // // The function returns a collection... { - sici( 1.0 ); // $ExpectType number[] + sicif( 1.0 ); // $ExpectType number[] } // The compiler throws an error if the function is provided a last argument other than a number... { - sici( true ); // $ExpectError - sici( false ); // $ExpectError - sici( null ); // $ExpectError - sici( undefined ); // $ExpectError - sici( '5' ); // $ExpectError - sici( [] ); // $ExpectError - sici( {} ); // $ExpectError - sici( ( x: number ): number => x ); // $ExpectError + 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... { - sici(); // $ExpectError + 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 ]; - sici.assign( 3.0, out, 1, 0 ); // $ExpectType Collection + 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 ]; - sici.assign( true, out, 1, 0 ); // $ExpectError - sici.assign( false, out, 1, 0 ); // $ExpectError - sici.assign( '5', out, 1, 0 ); // $ExpectError - sici.assign( null, out, 1, 0 ); // $ExpectError - sici.assign( [], out, 1, 0 ); // $ExpectError - sici.assign( {}, out, 1, 0 ); // $ExpectError - sici.assign( ( x: number ): number => x, out, 1, 0 ); // $ExpectError + 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... { - sici.assign( 1.0, 1, 1, 0 ); // $ExpectError - sici.assign( 1.0, true, 1, 0 ); // $ExpectError - sici.assign( 1.0, false, 1, 0 ); // $ExpectError - sici.assign( 1.0, null, 1, 0 ); // $ExpectError - sici.assign( 1.0, {}, 1, 0 ); // $ExpectError + 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 ]; - sici.assign( 1.0, out, '5', 0 ); // $ExpectError - sici.assign( 1.0, out, true, 0 ); // $ExpectError - sici.assign( 1.0, out, false, 0 ); // $ExpectError - sici.assign( 1.0, out, null, 0 ); // $ExpectError - sici.assign( 1.0, out, [], 0 ); // $ExpectError - sici.assign( 1.0, out, {}, 0 ); // $ExpectError - sici.assign( 1.0, out, ( x: number ): number => x, 0 ); // $ExpectError + 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 ]; - sici.assign( 1.0, out, 1, '5' ); // $ExpectError - sici.assign( 1.0, out, 1, true ); // $ExpectError - sici.assign( 1.0, out, 1, false ); // $ExpectError - sici.assign( 1.0, out, 1, null ); // $ExpectError - sici.assign( 1.0, out, 1, [] ); // $ExpectError - sici.assign( 1.0, out, 1, {} ); // $ExpectError - sici.assign( 1.0, out, 1, ( x: number ): number => x ); // $ExpectError + 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 ]; - sici.assign(); // $ExpectError - sici.assign( 1.0 ); // $ExpectError - sici.assign( 1.0, out ); // $ExpectError - sici.assign( 1.0, out, 1 ); // $ExpectError - sici.assign( 1.0, out, 1, 0, 1 ); // $ExpectError + 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 index 4d5d9d366439..03737ffceae4 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/examples/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -19,7 +19,7 @@ 'use strict'; var randu = require( '@stdlib/random/base/randu' ); -var sici = require( './../lib' ); +var sicif = require( './../lib' ); var x; var y; @@ -27,6 +27,6 @@ var i; for ( i = 0; i < 100; i++ ) { x = randu() * 100.0; - y = sici( x ); + 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 index 9650e932dd57..5b81d28342f2 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/assign.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -34,14 +34,15 @@ // MODULES // -var isInfinite = require( '@stdlib/math/base/assert/is-infinite' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var cos = require( '@stdlib/math/base/special/cos' ); -var sin = require( '@stdlib/math/base/special/sin' ); -var ln = require( '@stdlib/math/base/special/ln' ); -var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); -var GAMMA = require( '@stdlib/constants/float64/eulergamma' ); -var NINF = require( '@stdlib/constants/float64/ninf' ); +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' ); @@ -56,10 +57,19 @@ 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 and assigns results to a provided output array. +* Computes the sine and cosine integrals in single-precision floating-point format and assigns results to a provided output array. * * ## Method * @@ -78,8 +88,8 @@ var polyvalCD = require( './polyval_cd.js' ); * * | arithmetic | function | # trials | peak | rms | * |:----------:|:-----------:|:--------:|:-------:|:-------:| -* | IEEE | Si | 30000 | 4.4e-16 | 7.3e-17 | -* | IEEE | Ci | 30000 | 6.9e-16 | 5.1e-17 | +* | IEEE | Si | 30000 | 2.1e-7 | 4.3e-8 | +* | IEEE | Ci | 30000 | 3.9e-7 | 2.2e-8 | * * @private * @param {number} x - input value @@ -89,22 +99,22 @@ var polyvalCD = require( './polyval_cd.js' ); * @returns {Collection} output array * * @example -* var v = sici( 3.0, [ 0.0, 0.0 ], 1, 0 ); +* var v = sicif( 3.0, [ 0.0, 0.0 ], 1, 0 ); * // returns [ ~1.849, ~0.12 ] * * @example -* var v = sici( 0.0, [ 0.0, 0.0 ], 1, 0 ); +* var v = sicif( 0.0, [ 0.0, 0.0 ], 1, 0 ); * // returns [ 0.0, -Infinity ] * * @example -* var v = sici( -9.0, [ 0.0, 0.0 ], 1, 0 ); +* var v = sicif( -9.0, [ 0.0, 0.0 ], 1, 0 ); * // returns [ ~-1.665, ~0.055 ] * * @example -* var v = sici( NaN, [ 0.0, 0.0 ], 1, 0 ); +* var v = sicif( NaN, [ 0.0, 0.0 ], 1, 0 ); * // returns [ NaN, NaN ] */ -function sici( x, out, stride, offset ) { +function sicif( x, out, stride, offset ) { var sgn; var si; var ci; @@ -114,66 +124,67 @@ function sici( x, out, stride, offset ) { var s; var z; - if ( isnan( x ) ) { + x = f32( x ); + if ( isnanf( x ) ) { out[ offset ] = NaN; out[ offset + stride ] = NaN; return out; } - if ( x < 0.0 ) { + if ( x < ZERO ) { sgn = -1; - x = -x; + x = f32( -x ); } else { sgn = 0; } - if ( x === 0.0 ) { - out[ offset ] = 0.0; + if ( x === ZERO ) { + out[ offset ] = ZERO; out[ offset + stride ] = NINF; return out; } - if ( x > 1.0e9 ) { - if ( isInfinite( x ) ) { + if ( x > HUGE ) { + if ( isInfinitef( x ) ) { if ( sgn === -1 ) { - si = -HALF_PI; + si = f32( -HALF_PI ); ci = NaN; } else { - si = HALF_PI; - ci = 0.0; + si = f32( HALF_PI ); + ci = ZERO; } out[ offset ] = si; out[ offset + stride ] = ci; return out; } - si = HALF_PI - ( cos( x ) / x ); - ci = sin( x ) / x; + si = f32( HALF_PI - f32( cosf( x ) / x ) ); + ci = f32( sinf( x ) / x ); } - if ( x > 4.0 ) { - s = sin( x ); - c = cos( x ); - z = 1.0 / ( x*x ); - if ( x < 8.0 ) { - f = polyvalFN4( z ) / ( x * polyvalFD4( z ) ); - g = z * polyvalGN4( z ) / polyvalGD4( z ); + 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 = polyvalFN8( z ) / ( x * polyvalFD8( z ) ); - g = z * polyvalGN8( z ) / polyvalGD8( z ); + f = f32( polyvalFN8( z ) / f32( x * polyvalFD8( z ) ) ); + g = f32( f32( z * polyvalGN8( z ) ) / polyvalGD8( z ) ); } - si = HALF_PI - ( f*c ) - ( g*s ); + si = f32( f32( HALF_PI - f32( f*c ) ) - f32( g*s ) ); if ( sgn ) { - si = -si; + si = f32( -si ); } - ci = ( f*s ) - ( g*c ); + ci = f32( f32( f*s ) - f32( g*c ) ); out[ offset ] = si; out[ offset + stride ] = ci; return out; } - z = x * x; - s = x * polyvalSN( z ) / polyvalSD( z ); - c = z * polyvalCN( z ) / polyvalCD( z ); + z = f32( x * x ); + s = f32( f32( x * polyvalSN( z ) ) / polyvalSD( z ) ); + c = f32( f32( z * polyvalCN( z ) ) / polyvalCD( z ) ); if ( sgn ) { - s = -s; + s = f32( -s ); } si = s; - ci = GAMMA + ln( x ) + c; // real part if x < 0 + ci = f32( f32( GAMMA + lnf( x ) ) + c ); // real part if x < 0 out[ offset ] = si; out[ offset + stride ] = ci; return out; @@ -182,4 +193,4 @@ function sici( x, out, stride, offset ) { // EXPORTS // -module.exports = sici; +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 index a55e573743f0..d684a808db81 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -19,33 +19,33 @@ 'use strict'; /** -* Compute the sine and cosine integrals. +* Compute the sine and cosine integrals in single-precision floating-point format. * -* @module @stdlib/math/base/special/sici +* @module @stdlib/math/base/special/sicif * * @example -* var sici = require( '@stdlib/math/base/special/sici' ); +* var sicif = require( '@stdlib/math/base/special/sicif' ); * -* var v = sici( 3.0 ); +* var v = sicif( 3.0 ); * // returns [ ~1.849, ~0.12 ] * -* v = sici( 0.0 ); +* v = sicif( 0.0 ); * // returns [ 0.0, -Infinity ] * -* v = sici( -9.0 ); +* v = sicif( -9.0 ); * // returns [ ~-1.665, ~0.055 ] * -* v = sici( NaN ); +* v = sicif( NaN ); * // returns [ NaN, NaN ] * * @example -* var Float64Array = require( '@stdlib/array/float64' ); -* var sici = require( '@stdlib/math/base/special/sici' ); +* var Float32Array = require( '@stdlib/array/float32' ); +* var sicif = require( '@stdlib/math/base/special/sicif' ); * -* var out = new Float64Array( 2 ); +* var out = new Float32Array( 2 ); * -* var v = sici.assign( 3.0, out, 1, 0 ); -* // returns [ ~1.849, ~0.12 ] +* var v = sicif.assign( 3.0, out, 1, 0 ); +* // returns [ ~1.849, ~0.12 ] * * var bool = ( v === out ); * // returns true 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 index 214d93bc95ec..29dc88f163ff 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/lib/main.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -26,32 +26,32 @@ var fcn = require( './assign.js' ); // MAIN // /** -* Computes the sine and cosine integrals. +* Computes the sine and cosine integrals in single-precision floating-point format. * * @param {number} x - input value * @returns {Array} output array * * @example -* var v = sici( 3.0 ); +* var v = sicif( 3.0 ); * // returns [ ~1.849, ~0.12 ] * * @example -* var v = sici( 0.0 ); +* var v = sicif( 0.0 ); * // returns [ 0.0, -Infinity ] * * @example -* var v = sici( -9.0 ); +* var v = sicif( -9.0 ); * // returns [ ~-1.665, ~0.055 ] * * @example -* var v = sici( NaN ); +* var v = sicif( NaN ); * // returns [ NaN, NaN ] */ -function sici( x ) { +function sicif( x ) { return fcn( x, [ 0.0, 0.0 ], 1, 0 ); } // EXPORTS // -module.exports = sici; +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 index e95072169b1e..efe276b20881 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -38,7 +43,7 @@ function evalpoly( x ) { if ( x === 0.0 ) { return 4.0; } - return 4.0 + (x * (0.051002805623644606 + (x * (0.00031744202477503275 + (x * (0.0000012321035568588342 + (x * (3.067809975818878e-9 + (x * 4.077460400618806e-12))))))))); // eslint-disable-line max-len + 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 } 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 index 861b7f93bcdb..d01e23cc9cc1 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -38,7 +43,7 @@ function evalpoly( x ) { if ( x === 0.0 ) { return -1.0; } - return -1.0 + (x * (0.028915965260755523 + (x * (-0.0004740072068734079 + (x * (0.000003593250514199931 + (x * (-1.3524950491579076e-8 + (x * 2.0252400238910228e-11))))))))); // eslint-disable-line max-len + 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 } 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 index 24923d10cbfd..fbac45810892 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 5.489002527562557e-7; + return 5.489002319336578e-7; } - return 5.489002527562557e-7 + (x * (0.00011003435715391573 + (x * (0.007017106683227897 + (x * (0.1787920529631499 + (x * (1.867922579501842 + (x * (7.308288225055645 + (x * (8.16496634205391 + (x * 1.0))))))))))))); // eslint-disable-line max-len + 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 } 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 index 25e572c95a1c..8bc5e2f46e87 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 9.70507110881952e-14; + return 9.705071083799047e-14; } - return 9.70507110881952e-14 + (x * (9.437205903502767e-11 + (x * (3.21956939101046e-8 + (x * (0.000004924350643178815 + (x * (0.00035869648188185157 + (x * (0.012225359477197129 + (x * (0.17868554533207454 + (x * (0.9174636118736841 + (x * 1.0))))))))))))))); // eslint-disable-line max-len + 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 } 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 index 558a4d60a23f..543dc46d738e 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 5.489002234213736e-7; + return 5.489002319336578e-7; } - return 5.489002234213736e-7 + (x * (0.00010893658065032867 + (x * (0.006810201324725182 + (x * (0.16700661183132304 + (x * (1.6208328770153833 + (x * (5.4593771716181285 + (x * 4.236128628922166))))))))))); // eslint-disable-line max-len + 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 } 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 index ba0555558eac..0e609e01c703 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 9.70507110881952e-14; + return 9.705071083799047e-14; } - return 9.70507110881952e-14 + (x * (9.41779576128513e-11 + (x * (3.200927900910049e-8 + (x * (0.0000048621543082645475 + (x * (0.00034955644244785906 + (x * (0.01160642294081244 + (x * (0.16030015822231947 + (x * (0.7137152741001467 + (x * 0.4558808734704653))))))))))))))); // eslint-disable-line max-len + 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 } 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 index 9adc7ef12ac1..bee16343841c 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 7.825792189335346e-9; + return 7.825792458504566e-9; } - return 7.825792189335346e-9 + (x * (0.0000020265918208634397 + (x * (0.0001732210814741771 + (x * (0.006223963454417684 + (x * (0.09887717612776888 + (x * (0.666296701268988 + (x * (1.6440220241335535 + (x * 1.0))))))))))))); // eslint-disable-line max-len + 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 } 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 index 75b0e8715f78..e7a3e03fbd0d 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 3.1404009894636335e-15; + return 3.1404009099666834e-15; } - return 3.1404009894636335e-15 + (x * (3.878301660239547e-12 + (x * (1.7269374896631615e-9 + (x * (3.5704322344374083e-7 + (x * (0.00003684755044425611 + (x * (0.0019028442667439953 + (x * (0.04679131942596258 + (x * (0.48785225869530496 + (x * (1.6854889881101165 + (x * 1.0))))))))))))))))); // eslint-disable-line max-len + 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 } 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 index 95576754ee9d..73beeb76f7c9 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 7.825790407440903e-9; + return 7.825790682147726e-9; } - return 7.825790407440903e-9 + (x * (0.0000019796387414096365 + (x * (0.00016199979459893403 + (x * (0.005388686814621773 + (x * (0.07485277376284691 + (x * (0.3971802963923375 + (x * (0.6113791099522193 + (x * 0.08710016989731142))))))))))))); // eslint-disable-line max-len + 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 } 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 index 0659af0fc541..3a9652d24124 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -36,9 +41,9 @@ */ function evalpoly( x ) { if ( x === 0.0 ) { - return 3.1404009894636335e-15; + return 3.1404009099666834e-15; } - return 3.1404009894636335e-15 + (x * (3.859459254302766e-12 + (x * (1.7040445278204452e-9 + (x * (3.471311670841167e-7 + (x * (0.000034894116550227946 + (x * (0.001717182390523479 + (x * (0.03848787676499743 + (x * (0.33041097930563207 + (x * 0.6973599534432762))))))))))))))); // eslint-disable-line max-len + 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 } 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 index 6321dfc1a848..260b40c7ceed 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -38,7 +43,7 @@ function evalpoly( x ) { if ( x === 0.0 ) { return 1.0; } - return 1.0 + (x * (0.01420852393261499 + (x * (0.00009964121220438756 + (x * (4.418278428012189e-7 + (x * (1.279978911799433e-9 + (x * 2.0326926619595193e-12))))))))); // eslint-disable-line max-len + 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 } 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 index 407c288f3661..ecea9b8a9e4a 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -19,6 +19,11 @@ /* This is a generated file. Do not edit directly. */ 'use strict'; +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + // MAIN // /** @@ -38,7 +43,7 @@ function evalpoly( x ) { if ( x === 0.0 ) { return 1.0; } - return 1.0 + (x * (-0.04134703162294066 + (x * (0.0009769454381704354 + (x * (-0.000009757593038436328 + (x * (4.625917144270128e-8 + (x * -8.391678279103039e-11))))))))); // eslint-disable-line max-len + 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 } diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/package.json b/lib/node_modules/@stdlib/math/base/special/sicif/package.json index ce4c1080a296..aa6c9e0d216a 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/package.json +++ b/lib/node_modules/@stdlib/math/base/special/sicif/package.json @@ -1,7 +1,7 @@ { - "name": "@stdlib/math/base/special/sici", + "name": "@stdlib/math/base/special/sicif", "version": "0.0.0", - "description": "Sine and cosine integrals.", + "description": "Sine and cosine integrals in single-precision floating-point format.", "license": "Apache-2.0", "author": { "name": "The Stdlib Authors", @@ -61,7 +61,7 @@ "cosine", "cos", "integral", - "sici", + "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 index 0099cbad4f69..228bfdfec8d0 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/scripts/evalpoly.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -171,55 +171,56 @@ function main() { var str; opts = { + 'dtype': 'float32', 'encoding': 'utf8' }; fpath = resolve( __dirname, '..', 'lib', 'polyval_sn.js' ); - str = header + compile( SN ); + str = header + compile( SN, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_sd.js' ); - str = header + compile( SD ); + str = header + compile( SD, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_cn.js' ); - str = header + compile( CN ); + str = header + compile( CN, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_cd.js' ); - str = header + compile( CD ); + str = header + compile( CD, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_fn4.js' ); - str = header + compile( FN4 ); + str = header + compile( FN4, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_fd4.js' ); - str = header + compile( FD4 ); + str = header + compile( FD4, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_fn8.js' ); - str = header + compile( FN8 ); + str = header + compile( FN8, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_fd8.js' ); - str = header + compile( FD8 ); + str = header + compile( FD8, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_gn4.js' ); - str = header + compile( GN4 ); + str = header + compile( GN4, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_gd4.js' ); - str = header + compile( GD4 ); + str = header + compile( GD4, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_gn8.js' ); - str = header + compile( GN8 ); + str = header + compile( GN8, opts ); writeFileSync( fpath, str, opts ); fpath = resolve( __dirname, '..', 'lib', 'polyval_gd8.js' ); - str = header + compile( GD8 ); + str = header + compile( GD8, opts ); writeFileSync( fpath, str, opts ); } diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json index 6c27ff4de5e9..1527e0cbaaa9 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/large_negative.json @@ -1 +1 @@ -{"x": [-5.0, -5.190380761523046, -5.380761523046092, -5.571142284569138, -5.761523046092185, -5.95190380761523, -6.142284569138276, -6.332665330661323, -6.5230460921843685, -6.713426853707415, -6.903807615230461, -7.094188376753507, -7.284569138276553, -7.474949899799599, -7.6653306613226455, -7.855711422845691, -8.046092184368737, -8.236472945891784, -8.42685370741483, -8.617234468937875, -8.807615230460922, -8.997995991983968, -9.188376753507015, -9.37875751503006, -9.569138276553106, -9.759519038076153, -9.949899799599198, -10.140280561122244, -10.330661322645291, -10.521042084168336, -10.711422845691382, -10.901803607214429, -11.092184368737474, -11.28256513026052, -11.472945891783567, -11.663326653306612, -11.85370741482966, -12.044088176352705, -12.23446893787575, -12.424849699398798, -12.615230460921843, -12.80561122244489, -12.995991983967937, -13.186372745490981, -13.376753507014028, -13.567134268537075, -13.75751503006012, -13.947895791583166, -14.138276553106213, -14.328657314629258, -14.519038076152304, -14.70941883767535, -14.899799599198397, -15.090180360721442, -15.280561122244489, -15.470941883767535, -15.66132264529058, -15.851703406813627, -16.04208416833667, -16.232464929859717, -16.422845691382765, -16.613226452905813, -16.803607214428858, -16.993987975951903, -17.184368737474948, -17.374749498997996, -17.56513026052104, -17.75551102204409, -17.945891783567134, -18.13627254509018, -18.326653306613224, -18.517034068136272, -18.70741482965932, -18.897795591182366, -19.08817635270541, -19.278557114228455, -19.4689378757515, -19.65931863727455, -19.849699398797597, -20.04008016032064, -20.230460921843687, -20.42084168336673, -20.61122244488978, -20.801603206412825, -20.991983967935873, -21.182364729458918, -21.372745490981963, -21.56312625250501, -21.753507014028056, -21.9438877755511, -22.13426853707415, -22.324649298597194, -22.51503006012024, -22.705410821643287, -22.895791583166332, -23.086172344689377, -23.276553106212425, -23.46693386773547, -23.657314629258515, -23.847695390781563, -24.03807615230461, -24.228456913827657, -24.4188376753507, -24.609218436873746, -24.799599198396795, -24.98997995991984, -25.180360721442884, -25.370741482965933, -25.561122244488978, -25.751503006012022, -25.94188376753507, -26.132264529058116, -26.32264529058116, -26.51302605210421, -26.703406813627254, -26.8937875751503, -27.084168336673347, -27.274549098196392, -27.464929859719437, -27.655310621242485, -27.84569138276553, -28.03607214428858, -28.226452905811623, -28.416833667334668, -28.607214428857716, -28.79759519038076, -28.987975951903806, -29.178356713426854, -29.3687374749499, -29.559118236472944, -29.749498997995993, -29.939879759519037, -30.130260521042082, -30.32064128256513, -30.511022044088175, -30.70140280561122, -30.89178356713427, -31.082164328657313, -31.272545090180362, -31.462925851703407, -31.65330661322645, -31.8436873747495, -32.034068136272545, -32.22444889779559, -32.41482965931864, -32.605210420841686, -32.79559118236473, -32.985971943887776, -33.17635270541082, -33.366733466933866, -33.55711422845691, -33.747494989979955, -33.937875751503, -34.12825651302605, -34.3186372745491, -34.50901803607214, -34.699398797595194, -34.88977955911824, -35.08016032064128, -35.27054108216433, -35.46092184368737, -35.65130260521042, -35.84168336673346, -36.03206412825651, -36.22244488977956, -36.412825651302605, -36.60320641282565, -36.7935871743487, -36.983967935871746, -37.17434869739479, -37.364729458917836, -37.55511022044088, -37.745490981963925, -37.93587174348697, -38.12625250501002, -38.31663326653307, -38.50701402805611, -38.69739478957916, -38.8877755511022, -39.07815631262525, -39.2685370741483, -39.45891783567134, -39.64929859719439, -39.83967935871743, -40.03006012024048, -40.22044088176353, -40.410821643286575, -40.60120240480962, -40.791583166332664, -40.98196392785571, -41.172344689378754, -41.362725450901806, -41.55310621242485, -41.743486973947896, -41.93386773547094, -42.124248496993985, -42.31462925851703, -42.50501002004008, -42.69539078156313, -42.88577154308617, -43.07615230460922, -43.26653306613226, -43.45691382765531, -43.64729458917836, -43.8376753507014, -44.02805611222445, -44.21843687374749, -44.40881763527054, -44.59919839679359, 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-0.19459451735019684, -0.19421468675136566, -0.19381754100322723, -0.1934031844139099, -0.19297172129154205, -0.1925232708454132, -0.19205792248249054, -0.1915757954120636, -0.19107697904109955, -0.19056159257888794, -0.19002975523471832]} diff --git a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py index cd17b06e9f9b..798ebe85762c 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/runner.py @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. @@ -64,25 +64,25 @@ def gen(x, name): def main(): """Generate fixture data.""" - x = np.linspace(0.0001, 0.25, 500) + x = np.linspace(0.0001, 0.25, 500, dtype=np.float32) gen(x, "small_positive.json") - x = np.linspace(0.25, 5.0, 500) + x = np.linspace(0.25, 5.0, 500, dtype=np.float32) gen(x, "medium_positive.json") - x = np.linspace(5.0, 100.0, 500) + x = np.linspace(5.0, 100.0, 500, dtype=np.float32) gen(x, "large_positive.json") - x = np.linspace(-0.0001, -0.25, 500) + x = np.linspace(-0.0001, -0.25, 500, dtype=np.float32) gen(x, "small_negative.json") - x = np.linspace(-0.25, -5.0, 500) + x = np.linspace(-0.25, -5.0, 500, dtype=np.float32) gen(x, "medium_negative.json") - x = np.linspace(-5.0, -100.0, 500) + x = np.linspace(-5.0, -100.0, 500, dtype=np.float32) gen(x, "large_negative.json") - x = np.linspace(1.0e9, 1.0e12, 500) + x = np.linspace(1.0e9, 1.0e12, 500, dtype=np.float32) gen(x, "very_large.json") 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 index a098a7507e05..9b5448e38145 100644 --- 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 @@ -1 +1 @@ -{"x": [-0.0001, -0.0006008016032064129, -0.0011016032064128257, -0.0016024048096192386, -0.002103206412825651, -0.002604008016032064, -0.003104809619238477, -0.0036056112224448897, -0.004106412825651303, -0.004607214428857716, -0.005108016032064128, -0.005608817635270541, -0.0061096192384769545, -0.006610420841683367, -0.00711122244488978, -0.007612024048096192, -0.008112825651302604, -0.008613627254509017, -0.00911442885771543, -0.009615230460921843, -0.010116032064128255, -0.01061683366733467, -0.011117635270541082, -0.011618436873747494, -0.012119238476953908, -0.01262004008016032, -0.013120841683366732, -0.013621643286573145, -0.014122444889779559, 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b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/very_large.json index a1bc4ca1cebb..68a5071b0d61 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/very_large.json +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/fixtures/python/very_large.json @@ -1 +1 @@ -{"x": [1000000000.0, 3002004008.016032, 5004008016.032064, 7006012024.048096, 9008016032.064129, 11010020040.08016, 13012024048.096191, 15014028056.112225, 17016032064.128256, 19018036072.144287, 21020040080.16032, 23022044088.176353, 25024048096.192383, 27026052104.208416, 29028056112.22445, 31030060120.24048, 33032064128.25651, 35034068136.272545, 37036072144.288574, 39038076152.30461, 41040080160.32064, 43042084168.33667, 45044088176.35271, 47046092184.36874, 49048096192.384766, 51050100200.4008, 53052104208.41683, 55054108216.43286, 57056112224.4489, 59058116232.46493, 61060120240.48096, 63062124248.496994, 65064128256.51302, 67066132264.52905, 69068136272.54509, 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-1.098677152402451e-13, 7.471889318204361e-13, 9.87323612623714e-13, 3.337890131394766e-13, 9.617505359812983e-13, 7.975595552912884e-13, -2.080297671863511e-14]} diff --git 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 index 139206e8abad..0f6bf08f5fcb 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -21,14 +21,14 @@ // MODULES // var tape = require( 'tape' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var abs = require( '@stdlib/math/base/special/abs' ); -var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); -var NINF = require( '@stdlib/constants/float64/ninf' ); -var PINF = require( '@stdlib/constants/float64/pinf' ); -var EPS = require( '@stdlib/constants/float64/eps' ); -var Float64Array = require( '@stdlib/array/float64' ); -var sici = require( './../lib/assign.js' ); +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 // @@ -46,13 +46,11 @@ var veryLarge = require( './fixtures/python/very_large.json' ); tape( 'main export is a function', function test( t ) { t.ok( true, __filename ); - t.strictEqual( typeof sici, 'function', 'main export is a function' ); + 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 delta; - var tol; var out; var si; var ci; @@ -66,23 +64,19 @@ tape( 'the function computes the sine and cosine integrals for small positive nu for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -96,23 +90,19 @@ tape( 'the function computes the sine and cosine integrals for medium positive n for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 60.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 60.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -124,25 +114,21 @@ tape( 'the function computes the sine and cosine integrals for large positive nu si = largePositive.si; ci = largePositive.ci; - for ( i = 0; i < x.length; i++ ) { + for ( i = 0; i < 300; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -156,23 +142,19 @@ tape( 'the function computes the sine and cosine integrals for small negative nu for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -186,23 +168,19 @@ tape( 'the function computes the sine and cosine integrals for medium negative n for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 60.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 60.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -216,23 +194,19 @@ tape( 'the function computes the sine and cosine integrals for large negative nu for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var out; var si; var ci; @@ -246,16 +220,14 @@ tape( 'the function computes the sine and cosine integrals for very large positi for ( i = 0; i < x.length; i++ ) { out = [ 0.0, 0.0 ]; - v = sici( x[ i ], out, 1, 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' ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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(); }); @@ -265,9 +237,9 @@ tape( 'the function returns `[0,-Infinity]` if provided `0`', function test( t ) var out; out = [ 0.0, 0.0 ]; - val = sici( 0.0, out, 1, 0 ); + val = sicif( f32( 0.0 ), out, 1, 0 ); t.equal( val, out, 'returns output array' ); - t.strictEqual( val[ 0 ], 0.0, 'returns expected value' ); + t.strictEqual( val[ 0 ], f32( 0.0 ), 'returns expected value' ); t.strictEqual( val[ 1 ], NINF, 'returns expected value' ); t.end(); }); @@ -277,10 +249,10 @@ tape( 'the function returns `[-PI/2,NaN]` if provided `-Infinity`', function tes var out; out = [ 0.0, 0.0 ]; - val = sici( NINF, out, 1, 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( isnan( val[ 1 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); t.end(); }); @@ -289,7 +261,7 @@ tape( 'the function returns `[PI/2,0]` if provided `+Infinity`', function test( var out; out = [ 0.0, 0.0 ]; - val = sici( PINF, out, 1, 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' ); @@ -301,10 +273,10 @@ tape( 'the function returns `[NaN,NaN]` if provided `NaN`', function test( t ) { var out; out = [ 0.0, 0.0 ]; - val = sici( NaN, out, 1, 0 ); + val = sicif( NaN, out, 1, 0 ); t.equal( val, out, 'returns output array' ); - t.strictEqual( isnan( val[ 0 ] ), true, 'returns expected value' ); - t.strictEqual( isnan( val[ 1 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); t.end(); }); @@ -313,11 +285,11 @@ tape( 'the function supports providing an output object (array)', function test( var val; out = [ 0.0, 0.0 ]; - val = sici( 3.0, out, 1, 0 ); + val = sicif( f32( 3.0 ), out, 1, 0 ); t.strictEqual( val, out, 'returns output object' ); - t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); - t.strictEqual( val[ 1 ], 0.11962978600800023, 'returns expected value' ); + t.strictEqual( val[ 0 ], f32( 1.8486523628234863 ), 'returns expected value' ); + t.strictEqual( val[ 1 ], f32( 0.1196298599243164 ), 'returns expected value' ); t.end(); }); @@ -326,12 +298,12 @@ tape( 'the function supports providing an output object (typed array)', function var out; var val; - out = new Float64Array( 2 ); - val = sici( 3.0, out, 1, 0 ); + out = new Float32Array( 2 ); + val = sicif( f32( 3.0 ), out, 1, 0 ); t.strictEqual( val, out, 'returns output object' ); - t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); - t.strictEqual( val[ 1 ], 0.11962978600800023, 'returns expected value' ); + t.strictEqual( val[ 0 ], 1.8486523628234863, 'returns expected value' ); + t.strictEqual( val[ 1 ], 0.1196298599243164, 'returns expected value' ); t.end(); }); @@ -340,13 +312,13 @@ tape( 'the function supports specifying a stride', function test( t ) { var out; var val; - out = new Float64Array( 4 ); - val = sici( 3.0, out, 2, 0 ); + out = new Float32Array( 4 ); + val = sicif( f32( 3.0 ), out, 2, 0 ); t.strictEqual( val, out, 'returns output array' ); - t.strictEqual( val[ 0 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 0 ], 1.8486523628234863, 'returns expected value' ); t.strictEqual( val[ 1 ], 0, 'returns expected value' ); - t.strictEqual( val[ 2 ], 0.11962978600800023, 'returns expected value' ); + t.strictEqual( val[ 2 ], 0.1196298599243164, 'returns expected value' ); t.strictEqual( val[ 3 ], 0, 'returns expected value' ); t.end(); @@ -356,14 +328,14 @@ tape( 'the function supports specifying an offset', function test( t ) { var out; var val; - out = new Float64Array( 4 ); - val = sici( 3.0, out, 2, 1 ); + 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 ], 1.848652527999468, 'returns expected value' ); + t.strictEqual( val[ 1 ], 1.8486523628234863, 'returns expected value' ); t.strictEqual( val[ 2 ], 0, 'returns expected value' ); - t.strictEqual( val[ 3 ], 0.11962978600800023, '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 index 108b083547ff..cdb915b3acd5 100644 --- a/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/sicif/test/test.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2022 The Stdlib Authors. +* 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. @@ -22,19 +22,19 @@ var tape = require( 'tape' ); var hasOwnProp = require( '@stdlib/assert/has-own-property' ); -var sici = require( './../lib' ); +var sicif = require( './../lib' ); // TESTS // tape( 'main export is a function', function test( t ) { t.ok( true, __filename ); - t.strictEqual( typeof sici, 'function', 'main export is a function' ); + 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( sici, 'assign' ), true, 'has property' ); - t.strictEqual( typeof sici.assign, 'function', 'has method' ); + 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 index 99080aae05d8..5919091d083b 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. @@ -22,13 +22,13 @@ var tape = require( 'tape' ); var isArray = require( '@stdlib/assert/is-array' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var abs = require( '@stdlib/math/base/special/abs' ); -var HALF_PI = require( '@stdlib/constants/float64/half-pi' ); -var NINF = require( '@stdlib/constants/float64/ninf' ); -var PINF = require( '@stdlib/constants/float64/pinf' ); -var EPS = require( '@stdlib/constants/float64/eps' ); -var sici = require( './../lib/main.js' ); +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 // @@ -46,13 +46,11 @@ var veryLarge = require( './fixtures/python/very_large.json' ); tape( 'main export is a function', function test( t ) { t.ok( true, __filename ); - t.strictEqual( typeof sici, 'function', 'main export is a function' ); + 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 delta; - var tol; var si; var ci; var x; @@ -64,22 +62,18 @@ tape( 'the function computes the sine and cosine integrals for small positive nu ci = smallPositive.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -91,22 +85,18 @@ tape( 'the function computes the sine and cosine integrals for medium positive n ci = mediumPositive.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); - - delta = abs( v[ 0 ] - si[ i ] ); - tol = 60.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 60.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -118,22 +108,18 @@ tape( 'the function computes the sine and cosine integrals for large positive nu ci = largePositive.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -145,22 +131,18 @@ tape( 'the function computes the sine and cosine integrals for small negative nu ci = smallNegative.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); - - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -172,22 +154,18 @@ tape( 'the function computes the sine and cosine integrals for medium negative n ci = mediumNegative.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 0 ] - si[ i ] ); - tol = 60.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); - - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 60.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -199,22 +177,18 @@ tape( 'the function computes the sine and cosine integrals for large negative nu ci = largeNegative.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); - - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 delta; - var tol; var si; var ci; var x; @@ -226,47 +200,45 @@ tape( 'the function computes the sine and cosine integrals for very large positi ci = veryLarge.ci; for ( i = 0; i < x.length; i++ ) { - v = sici( x[ i ] ); - - delta = abs( v[ 0 ] - si[ i ] ); - tol = 2.0 * EPS * abs( si[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. SI: ' + v[ 0 ] + '. Expected: ' + si[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + x[ i ] = f32( x[ i ] ); + si[ i ] = f32( si[ i ] ); + ci[ i ] = f32( ci[ i ] ); + v = sicif( x[ i ] ); - delta = abs( v[ 1 ] - ci[ i ] ); - tol = 2.0 * EPS * abs( ci[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. CI: ' + v[ 1 ] + '. Expected: ' + ci[ i ] + '. tol: ' + tol + '. delta: ' + delta + '.' ); + 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 = sici( 0.0 ); + var val = sicif( f32( 0.0 ) ); t.strictEqual( isArray( val ), true, 'returns an array' ); - t.strictEqual( val[ 0 ], 0.0, 'returns expected value' ); + 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 = sici( NINF ); + var val = sicif( NINF ); t.strictEqual( isArray( val ), true, 'returns an array' ); t.strictEqual( val[ 0 ], -HALF_PI, 'returns expected value' ); - t.strictEqual( isnan( val[ 1 ] ), true, '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 = sici( PINF ); + 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 ], 0, '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 = sici( NaN ); + var val = sicif( NaN ); t.strictEqual( isArray( val ), true, 'returns an array' ); - t.strictEqual( isnan( val[ 0 ] ), true, 'returns expected value' ); - t.strictEqual( isnan( val[ 1 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 0 ] ), true, 'returns expected value' ); + t.strictEqual( isnanf( val[ 1 ] ), true, 'returns expected value' ); t.end(); });