diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/README.md b/lib/node_modules/@stdlib/math/base/special/cosc/README.md new file mode 100644 index 000000000000..bd2f36cf63c7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/README.md @@ -0,0 +1,213 @@ + + +# cosc + +> Compute the [derivative of cardinal sine][cosc] of a number. + +
+ +The normalized [derivative of cardinal sine][cosc] function is defined as + + + +```math +\mathop{\mathrm{cosc}}(x) := \begin{cases} \frac {{\operatorname{cos}(\pi x)}-\frac{\operatorname{sin}(\pi x)}{\pi x}}{x} & \textrm{if}\ x \neq 0 \\ 0 & \textrm{if}\ x = 0 \end{cases} +``` + + + + + +for any real number `x`. + +
+ + + +
+ +## Usage + +```javascript +var cosc = require( '@stdlib/math/base/special/cosc' ); +``` + +#### cosc( x ) + +Computes the normalized [derivative of cardinal sine][cosc] of a `number`. + +```javascript +var v = cosc( 0.5 ); +// returns ~-1.273 + +v = cosc( -1.2 ); +// returns ~0.544 + +v = cosc( 0.0 ); +// returns 0.0 + +v = cosc( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var cosc = require( '@stdlib/math/base/special/cosc' ); + +var x = linspace( -5.0, 5.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( cosc( x[ i ] ) ); +} +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/cosc.h" +``` + +#### stdlib_base_cosc( x ) + +Computes the normalized [derivative of cardinal sine][cosc] of a `number`. + +```c +double y = stdlib_base_cosc( 0.5 ); +// returns ~-1.273 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value. + +```c +double stdlib_base_cosc( const double x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/cosc.h" +#include + +int main( void ) { + const double x[] = { 0.0, 0.523, 0.785, 1.047, 3.14 }; + + double y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_cosc( x[ i ] ); + printf( "cosc(%lf) = %lf\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + +
+ +* * * + +## See Also + +- [`@stdlib/math/base/special/cos`][@stdlib/math/base/special/cos]: compute the cos of a number. + +
+ + + + + +
+ +[cosc]: https://en.wikipedia.org/wiki/cosc_function + + + +[@stdlib/math/base/special/cos]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cos + + + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.js new file mode 100644 index 000000000000..82f1b60e961c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.js @@ -0,0 +1,51 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var cosc = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu() * 2.0 ) - 2.0; + y = cosc( x ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.native.js new file mode 100644 index 000000000000..b11de8199495 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/benchmark.native.js @@ -0,0 +1,60 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var cosc = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cosc instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu() * 2.0 ) - 2.0; + y = cosc( x ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/Makefile new file mode 100644 index 000000000000..f69e9da2b4d3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..2fda30176c77 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/c/native/benchmark.c @@ -0,0 +1,135 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/cosc.h" +#include +#include +#include +#include +#include + +#define NAME "cosc" +#define ITERATIONS 1000000 +#define REPEATS 3 + + + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = ( double ) ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return ( double ) now.tv_sec + ( double ) now.tv_usec / 1.0e6; +} + +/** +* Generates a random number on the interval [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 elapsed; + double x; + double y; + double t; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = ( 2.0 * rand_double() ) - 2.0; + y = stdlib_base_cosc( x ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/scipy/benchmark.py b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/scipy/benchmark.py new file mode 100644 index 000000000000..35f8f1c05286 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/benchmark/scipy/benchmark.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2024 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.cosc.""" + +from __future__ import print_function +import timeit + +NAME = "cosc" +REPEATS = 3 +ITERATIONS = 100000 + + +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 cosc; from random import random;" + stmt = "y = cosc( 2.0 * random() - 2.0 )" + + 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/cosc/binding.gyp b/lib/node_modules/@stdlib/math/base/special/cosc/binding.gyp new file mode 100644 index 000000000000..ec3992233442 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/cosc/docs/repl.txt new file mode 100644 index 000000000000..cdca9b9f0ce6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/docs/repl.txt @@ -0,0 +1,28 @@ + +{{alias}}( x ) + Computes the normalized derivative of cardinal sine of a number. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Derivative of cardinal sine. + + Examples + -------- + > var y = {{alias}}( 0.5 ) + ~-1.273 + > y = {{alias}}( -1.2 ) + ~0.544 + > y = {{alias}}( 0.0 ) + 0.0 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/index.d.ts new file mode 100644 index 000000000000..efa87d70f225 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/index.d.ts @@ -0,0 +1,48 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the normalized derivative of cardinal sine of a number. +* +* @param x - input value +* @returns derivative of cardinal sine +* +* @example +* var v = cosc( 0.5 ); +* // returns ~-1.273 +* +* @example +* var v = cosc( -1.2 ); +* // returns ~0.544 +* +* @example +* var v = cosc( 0.0 ); +* // returns 0.0 +* +* @example +* var v = cosc( NaN ); +* // returns NaN +*/ +declare function cosc( x: number ): number; + + +// EXPORTS // + +export = cosc; diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/test.ts new file mode 100644 index 000000000000..3d5b4100c582 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 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 cosc = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + cosc( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + cosc( true ); // $ExpectError + cosc( false ); // $ExpectError + cosc( null ); // $ExpectError + cosc( undefined ); // $ExpectError + cosc( '5' ); // $ExpectError + cosc( [] ); // $ExpectError + cosc( {} ); // $ExpectError + cosc( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + cosc(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/Makefile new file mode 100644 index 000000000000..6aed70daf167 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/example.c new file mode 100644 index 000000000000..489a7b6be4de --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/examples/c/example.c @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/cosc.h" +#include + +int main( void ) { + const double x[] = { 0.0, 0.523, 0.785, 1.047, 3.14 }; + + double y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_cosc( x[ i ] ); + printf( "cosc( %lf ) = %lf\n", x[ i ], y ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/examples/index.js b/lib/node_modules/@stdlib/math/base/special/cosc/examples/index.js new file mode 100644 index 000000000000..e8aca529d76b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/examples/index.js @@ -0,0 +1,29 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 linspace = require( '@stdlib/array/base/linspace' ); +var cosc = require( './../lib' ); + +var x = linspace( -5.0, 5.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'cosc( %d ) = %d', x[ i ], cosc( x[ i ] ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/include.gypi b/lib/node_modules/@stdlib/math/base/special/cosc/include.gypi new file mode 100644 index 000000000000..575cb043c0bf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + '=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "cos", + "cosc", + "cos", + "cardinal", + "trig", + "trigonometry", + "normalized" + ] + } + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/src/Makefile b/lib/node_modules/@stdlib/math/base/special/cosc/src/Makefile new file mode 100644 index 000000000000..bcf18aa46655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/src/addon.c b/lib/node_modules/@stdlib/math/base/special/cosc/src/addon.c new file mode 100644 index 000000000000..9137a9500f37 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/cosc.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_cosc ) diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/src/main.c b/lib/node_modules/@stdlib/math/base/special/cosc/src/main.c new file mode 100644 index 000000000000..344efcfdb64d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/src/main.c @@ -0,0 +1,66 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/cosc.h" +#include "stdlib/math/base/special/sinpi.h" +#include "stdlib/math/base/special/cospi.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/math/base/assert/is_infinite.h" +#include "stdlib/constants/float64/pi.h" + +/** +* Computes the normalized derivative of cardinal sine of a number. +* +* ## Method +* +* For \\( x \neq 0 \\), the normalized derivative of cardinal sine is calculated as +* +* ```tex +*\operatorname{cosc}(x) = \frac{{\operatorname{cos}(\pi x)}-\frac{\operatorname{sin}(\pi x)}{\pi x}}{x}. +* ``` +* +* ## Special Cases +* +* ```tex +* \begin{align*} +* \operatorname{cosc}(0) &= 0 & \\ +* \operatorname{cosc}(\infty) &= 0 & \\ +* \operatorname{cosc}(-\infty) &= 0 & \\ +* \operatorname{cosc}(\mathrm{NaN}) &= \mathrm{NaN} +* \end{align*} +* ``` +* +* @param x input value +* @return derivative of cardinal sine +* +* @example +* double y = stdlib_base_cosc( 0.5 ); +* // returns ~-1.273 +*/ +double stdlib_base_cosc( const double x ) { + if ( stdlib_base_is_nan( x ) ) { + return 0.0 / 0.0; // NaN + } + if ( stdlib_base_is_infinite( x ) ) { + return 0.0; + } + if ( x == 0.0 ) { + return 0.0; + } + return ( stdlib_base_cospi( x ) - ( stdlib_base_sinpi( x ) / ( STDLIB_CONSTANT_FLOAT64_PI * x ) ) ) / x; +} diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/data.json new file mode 100644 index 000000000000..acee91d9d4fc --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/data.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000000..f43f0e637a94 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..3e5725c0d4b4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/runner.jl @@ -0,0 +1,82 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + gen( domain, name ) + +Generate fixture data and write to file. + +# Arguments + +* `domain`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -708, stop = 709, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + y = cosc.( x ); + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Generate fixture data for decimal values: +x = range( -100, stop = 100, length = 4003 ); +gen( x, "data.json" ); + +# Large negative values: +x = range( -709.0895, stop = -100, length = 1003 ); +gen( x, "large_negative.json" ); + +# Large positive values: +x = range( 100, stop = 710.475, length = 1003 ); +gen( x, "large_positive.json" ); + +# Tiny negative values: +x = range( -1e-200, stop = -1e-208, length = 503 ); +gen( x, "tiny_negative.json" ); + +# Tiny positive values: +x = range( 1e-300, stop = 1e-308, length = 503 ); +gen( x, "tiny_positive.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_negative.json b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_negative.json new file mode 100644 index 000000000000..019997e30ba7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_negative.json @@ -0,0 +1 @@ +{"expected":[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000000..644e9b177d0f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ +{"expected":[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/test.js b/lib/node_modules/@stdlib/math/base/special/cosc/test/test.js new file mode 100644 index 000000000000..3205bbf7c6ca --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/test.js @@ -0,0 +1,188 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var cosc = require( './../lib' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cosc, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (large negative)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (large positive)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (tiny negative)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (tiny positive)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided a `NaN`', function test( t ) { + var v = cosc( NaN ); + t.equal( isnan( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `0.0`', function test( t ) { + var v = cosc( 0.0 ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided positive or negative infinity', function test( t ) { + var v = cosc( PINF ); + t.equal( v, 0.0, 'returns 0.0' ); + + v = cosc( NINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/cosc/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/cosc/test/test.native.js new file mode 100644 index 000000000000..5c15299a3c21 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/cosc/test/test.native.js @@ -0,0 +1,197 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); + + +// VARIABLES // + +var cosc = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( cosc instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cosc, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the cardinal cose (large negative)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (large positive)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (tiny negative)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the derivative of cardinal sine (tiny positive)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = cosc( x[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[ i ]+'. Expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. Value: '+y+'. Expected: '+expected[ i ]+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided a `NaN`', opts, function test( t ) { + var v = cosc( NaN ); + t.equal( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `0.0`', opts, function test( t ) { + var v = cosc( 0.0 ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided positive or negative infinity', opts, function test( t ) { + var v = cosc( PINF ); + t.equal( v, 0.0, 'returns 0.0' ); + + v = cosc( NINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +});