diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/README.md b/lib/node_modules/@stdlib/math/base/special/acscd/README.md new file mode 100644 index 000000000000..2a8d438970ce --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/README.md @@ -0,0 +1,104 @@ + + +# acscd + +> Compute the [arccosecant][arccosecant] in degrees of a double-precision floating-point number. + +
+ +## Usage + +```javascript +var acscd = require( '@stdlib/math/base/special/acscd' ); +``` + +#### acscd( x ) + +Computes the [arccosecant][arccosecant] (in degrees) of a double-precision floating-point number. + +```javascript +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var v = acscd( Infinity ); +// returns 0.0 + +v = acscd( 2 * sqrt( 3 ) / 3 ); +// returns ~60.0 + +v = acscd( sqrt( 2 ) ); +// returns ~45.0 + +v = acscd( 2 ); +// returns ~30.0 + +v = acscd( 1 ); +// returns 90.0 + +v = acscd( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var acscd = require( '@stdlib/math/base/special/acscd' ); + +var x = linspace( -10.0, 10.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( acscd( x[ i ] ) ); +} +``` + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/acscd/benchmark/benchmark.js new file mode 100644 index 000000000000..5bc89021ed53 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/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 acscd = 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 ) + 1.0; + y = acscd( 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/acscd/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/acscd/docs/repl.txt new file mode 100644 index 000000000000..2876e80e646a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/docs/repl.txt @@ -0,0 +1,31 @@ + +{{alias}}( x ) + Computes the arccosecant of (in degrees) a double-precision floating-point + number. + + If `x` does not satisy `x >= 1` or `x <= -1`, the function returns NaN. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Arccosecant (in degrees). + + Examples + -------- + > var y = {{alias}}( 0.0 ) + NaN + > y = {{alias}}( {{alias:@stdlib/constants/float64/pi}}/6.0 ) + NaN + > y = {{alias}}( 1 ) + 90.0 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/acscd/docs/types/index.d.ts new file mode 100644 index 000000000000..79716c2efcbd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/docs/types/index.d.ts @@ -0,0 +1,56 @@ +/* +* @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 arccosecant (in degrees) of a double-precision floating-point number. +* +* @param x - input value +* @returns arccosecant (in degrees) +* +* @example +* var v = acscd( Infinity ); +* // returns 0.0 +* +* @example +* var v = acscd( 2 * Math.sqrt( 3 ) / 3 ); +* // returns ~60.0 +* +* @example +* var v = acscd( Math.sqrt( 2 ) ); +* // returns ~45.0 +* +* @example +* var v = acscd( 2 ); +* // returns ~30.0 +* +* @example +* var v = acscd( 1 ); +* // returns 90.0 +* +* @example +* var v = acscd( NaN ); +* // returns NaN +*/ +declare function acscd( x: number ): number; + + +// EXPORTS // + +export = acscd; diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/acscd/docs/types/test.ts new file mode 100644 index 000000000000..f661049b3b78 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/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 acscd = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + acscd( 2 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + acscd( true ); // $ExpectError + acscd( false ); // $ExpectError + acscd( null ); // $ExpectError + acscd( undefined ); // $ExpectError + acscd( '5' ); // $ExpectError + acscd( [] ); // $ExpectError + acscd( {} ); // $ExpectError + acscd( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + acscd(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/examples/index.js b/lib/node_modules/@stdlib/math/base/special/acscd/examples/index.js new file mode 100644 index 000000000000..afce5cc49c5e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/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 acscd = require( './../lib' ); + +var x = linspace( -10.0, 10.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'acscd(%d) = %d', x[ i ], acscd( x[ i ] ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/lib/index.js b/lib/node_modules/@stdlib/math/base/special/acscd/lib/index.js new file mode 100644 index 000000000000..5ef0ea84a72d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/lib/index.js @@ -0,0 +1,55 @@ +/** +* @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'; + +/** +* Compute the arccosecant (in degrees) of a double-precision floating-point number. +* +* @module @stdlib/math/base/special/acscd +* +* @example +* var acscd = require( '@stdlib/math/base/special/acscd' ); +* +* var v = acscd( Infinity ); +* // returns 0.0 +* +* v = acscd( 2 * Math.sqrt(3) / 3 ); +* // returns ~60.0 +* +* v = acscd( Math.sqrt(2) ); +* // returns ~45.0 +* +* v = acscd( 2 ); +* // returns ~30.0 +* +* v = acscd( 1 ); +* // returns 90.0 +* +* v = acscd( NaN ); +* // returns NaN +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acscd/lib/main.js new file mode 100644 index 000000000000..727d4e2f6dc1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/lib/main.js @@ -0,0 +1,67 @@ +/** +* @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 rad2deg = require( '@stdlib/math/base/special/rad2deg' ); +var acsc = require( '@stdlib/math/base/special/acsc' ); + + +// MAIN // + +/** +* Computes the arccosecant (in degrees) of a double-precision floating-point number. +* +* @param {number} x - input value +* @returns {number} arccosecant (in degrees) +* +* @example +* var v = acscd( Infinity ); +* // returns 0.0 +* +* @example +* var v = acscd( 2 * Math.sqrt( 3 ) / 3 ); +* // returns ~60.0 +* +* @example +* var v = acscd( Math.sqrt( 2 ) ); +* // returns ~45.0 +* +* @example +* var v = acscd( 2 ); +* // returns ~30.0 +* +* @example +* var v = acscd( 1 ); +* // returns 90.0 +* +* @example +* var v = acscd( NaN ); +* // returns NaN +*/ +function acscd( x ) { + var rad = acsc( x ); + return rad2deg( rad ); +} + + +// EXPORTS // + +module.exports = acscd; diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/package.json b/lib/node_modules/@stdlib/math/base/special/acscd/package.json new file mode 100644 index 000000000000..bd09642f5757 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/package.json @@ -0,0 +1,67 @@ +{ + "name": "@stdlib/math/base/special/acscd", + "version": "0.0.0", + "description": "Compute the arccosecant (in degrees) of a double-precision floating-point number.", + "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", + "gypfile": true, + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "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", + "math.asin", + "asin", + "degree", + "arccosecant", + "sine", + "inverse", + "trig", + "trigonometry", + "radians" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/negative.json b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/negative.json new file mode 100644 index 000000000000..96ff4a0df901 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/positive.json b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/positive.json new file mode 100644 index 000000000000..1c10c2daae9a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/positive.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..02122a909cb1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/test/fixtures/julia/runner.jl @@ -0,0 +1,69 @@ +#!/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( -1, stop = 1, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + y = acscd.( 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) ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Generate fixture data for negative values: +x = range( -1.0, stop = -1000.0, length = 2003 ); +gen( x, "negative.json" ); + +# Generate fixture data for positive values: +x = range( 1.0, stop = 1000.0, length = 2003 ); +gen( x, "positive.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/test/test.js b/lib/node_modules/@stdlib/math/base/special/acscd/test/test.js new file mode 100644 index 000000000000..e82dec4ca5d4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acscd/test/test.js @@ -0,0 +1,119 @@ +/** +* @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 abs = require( '@stdlib/math/base/special/abs' ); +var randu = require( '@stdlib/random/base/randu' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var acscd = require( './../lib' ); + + +// FIXTURES // + +var negative = require( './fixtures/julia/negative.json' ); +var positive = require( './fixtures/julia/positive.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof acscd, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arccosecant in degrees (negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = negative.x; + expected = negative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acscd( x[i] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the arccosecant in degrees (positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = positive.x; + expected = positive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acscd( x[i] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = acscd( NaN ); + t.equal( isnan( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value greater than `-1`', function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = -randu() - EPS; + t.equal( isnan( acscd( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value less than `+1`', function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = (randu()) + EPS; + t.equal( isnan( acscd( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +});