diff --git a/LICENSE b/LICENSE index 5965a0b2c..d1534e6cb 100644 --- a/LICENSE +++ b/LICENSE @@ -207,6 +207,28 @@ FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. +* 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 + +* FreeBSD + +Copyright (C) 1993-2004 by Sun Microsystems, Inc. All rights reserved. + +Developed at SunPro, a Sun Microsystems, Inc. business. +Permission to use, copy, modify, and distribute this +software is freely granted, provided that this notice +is preserved. + * Go Copyright (c) 2009 The Go Authors. All rights reserved. @@ -237,28 +259,6 @@ THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -* 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 - -* FreeBSD - -Copyright (C) 1993-2004 by Sun Microsystems, Inc. All rights reserved. - -Developed at SunPro, a Sun Microsystems, Inc. business. -Permission to use, copy, modify, and distribute this -software is freely granted, provided that this notice -is preserved. - * Faddeeva Copyright (c) 2012 Massachusetts Institute of Technology @@ -282,18 +282,13 @@ LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. -* SLATEC Common Mathematical Library - -Public domain. - -* FDLIBM - -Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. - -Developed at SunPro, a Sun Microsystems, Inc. business. -Permission to use, copy, modify, and distribute this -software is freely granted, provided that this notice -is preserved. +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT +SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, +ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +DEALINGS IN THE SOFTWARE. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ @@ -325,3 +320,11 @@ LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. +* SLATEC Common Mathematical Library + +Public domain. + +* FDLIBM + +Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. + diff --git a/base/special/asind/README.md b/base/special/asind/README.md new file mode 100644 index 000000000..c0d499c6a --- /dev/null +++ b/base/special/asind/README.md @@ -0,0 +1,108 @@ + + +# asind + +> Compute the [arcsine][arcsine] in degrees of a double-precision floating-point number. + +
+ +## Usage + +```javascript +var asind = require( '@stdlib/math/base/special/asind' ); +``` + +#### asind( x ) + +Computes the [arcsine][arcsine] (in degrees) of a double-precision floating-point number. + +```javascript +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var v = asind( 0.0 ); +// returns 0.0 + +v = asind( 0.5 ); +// returns ~30.0 + +v = asind( sqrt( 2.0 ) / 2.0 ); +// returns ~45.0 + +v = asind( sqrt( 3.0 ) / 2.0 ); +// returns ~60.0 + +v = asind( NaN ); +// returns NaN +``` + +The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`. + +```javascript +var v = asind( -3.14 ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var asind = require( '@stdlib/math/base/special/asind' ); + +var x = linspace( -1.0, 1.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( asind( x[ i ] ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[arcsine]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions + + + + + +
+ + diff --git a/base/special/asind/benchmark/benchmark.js b/base/special/asind/benchmark/benchmark.js new file mode 100644 index 000000000..2be7acac6 --- /dev/null +++ b/base/special/asind/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( './../../../../base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var asind = 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 = asind( 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/base/special/asind/docs/repl.txt b/base/special/asind/docs/repl.txt new file mode 100644 index 000000000..014e881c4 --- /dev/null +++ b/base/special/asind/docs/repl.txt @@ -0,0 +1,29 @@ + +{{alias}}( x ) + Computes the arcsine (in degrees) of a double-precision floating-point + number. + + If `|x| > 1`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Arcsine (in degrees). + + Examples + -------- + > var y = {{alias}}( 0.0 ) + 0.0 + > y = {{alias}}( {{alias:@stdlib/constants/float64/pi}}/6.0 ) + ~31.57 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/base/special/asind/docs/types/index.d.ts b/base/special/asind/docs/types/index.d.ts new file mode 100644 index 000000000..c5314293f --- /dev/null +++ b/base/special/asind/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @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 arcsine (in degrees) of a double-precision floating-point number. +* +* @param x - input value +* @returns arcsine (in degrees) +* +* @example +* var v = asind( 0.0 ); +* // returns 0.0 +* +* @example +* var v = asind( 0.5 ); +* // returns ~30.0 +* +* @example +* var v = asind( Math.sqrt( 2.0 ) / 2.0 ); +* // returns ~45.0 +* +* @example +* var v = asind( Math.sqrt( 3.0 ) / 2.0 ); +* // returns ~60.0 +* +* @example +* var v = asind( NaN ); +* // returns NaN +*/ +declare function asind( x: number ): number; + + +// EXPORTS // + +export = asind; diff --git a/base/special/asind/docs/types/test.ts b/base/special/asind/docs/types/test.ts new file mode 100644 index 000000000..8af9b9fc4 --- /dev/null +++ b/base/special/asind/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 asind = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + asind( 0.5 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + asind( true ); // $ExpectError + asind( false ); // $ExpectError + asind( null ); // $ExpectError + asind( undefined ); // $ExpectError + asind( '5' ); // $ExpectError + asind( [] ); // $ExpectError + asind( {} ); // $ExpectError + asind( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + asind(); // $ExpectError +} diff --git a/base/special/asind/examples/index.js b/base/special/asind/examples/index.js new file mode 100644 index 000000000..7f60134db --- /dev/null +++ b/base/special/asind/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 asind = require( './../lib' ); + +var x = linspace( -1.0, 1.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'asind(%d) = %d', x[ i ], asind( x[ i ] ) ); +} diff --git a/base/special/asind/lib/index.js b/base/special/asind/lib/index.js new file mode 100644 index 000000000..ed7549c4e --- /dev/null +++ b/base/special/asind/lib/index.js @@ -0,0 +1,52 @@ +/** +* @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 arcsine (in degrees) of a double-precision floating-point number. +* +* @module @stdlib/math/base/special/asind +* +* @example +* var asind = require( '@stdlib/math/base/special/asind' ); +* +* var v = asind( 0.0 ); +* // returns 0.0 +* +* var v = asind( 0.5 ); +* // returns ~30.0 +* +* var v = asind( Math.sqrt( 2.0 ) / 2.0 ); +* // returns ~45.0 +* +* var v = asind( Math.sqrt( 3.0 ) / 2.0 ); +* // returns ~60.0 +* +* var v = asind( NaN ); +* // returns NaN +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/base/special/asind/lib/main.js b/base/special/asind/lib/main.js new file mode 100644 index 000000000..be155e0a6 --- /dev/null +++ b/base/special/asind/lib/main.js @@ -0,0 +1,63 @@ +/** +* @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( './../../../../base/special/rad2deg' ); +var asin = require( './../../../../base/special/asin' ); + + +// MAIN // + +/** +* Computes the arcsine (in degrees) of a double-precision floating-point number. +* +* @param {number} x - input value +* @returns {number} arcsine (in degrees) +* +* @example +* var v = asind( 0.0 ); +* // returns 0.0 +* +* @example +* var v = asind( 0.5 ); +* // returns ~30.0 +* +* @example +* var v = asind( Math.sqrt( 2.0 ) / 2.0 ); +* // returns ~45.0 +* +* @example +* var v = asind( Math.sqrt( 3.0 ) / 2.0 ); +* // returns ~60.0 +* +* @example +* var v = asind( NaN ); +* // returns NaN +*/ +function asind( x ) { + var rad = asin( x ); + return rad2deg( rad ); +} + + +// EXPORTS // + +module.exports = asind; diff --git a/base/special/asind/package.json b/base/special/asind/package.json new file mode 100644 index 000000000..d866f25c6 --- /dev/null +++ b/base/special/asind/package.json @@ -0,0 +1,66 @@ +{ + "name": "@stdlib/math/base/special/asind", + "version": "0.0.0", + "description": "Compute the arcsine (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", + "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", + "arcsine", + "sine", + "inverse", + "trig", + "trigonometry", + "radians" + ] +} diff --git a/base/special/asind/test/fixtures/julia/REQUIRE b/base/special/asind/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000..ae40bf736 --- /dev/null +++ b/base/special/asind/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 \ No newline at end of file diff --git a/base/special/asind/test/fixtures/julia/negative.json b/base/special/asind/test/fixtures/julia/negative.json new file mode 100644 index 000000000..01306788d --- /dev/null +++ b/base/special/asind/test/fixtures/julia/negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/asind/test/fixtures/julia/runner.jl b/base/special/asind/test/fixtures/julia/runner.jl new file mode 100644 index 000000000..502f24acc --- /dev/null +++ b/base/special/asind/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 = asind.( 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 = 0, length = 2003 ); +gen( x, "negative.json" ); + +# Generate fixture data for positive values: +x = range( 0, stop = 1.0, length = 2003 ); +gen( x, "positive.json" ); \ No newline at end of file diff --git a/base/special/asind/test/test.js b/base/special/asind/test/test.js new file mode 100644 index 000000000..c7c171204 --- /dev/null +++ b/base/special/asind/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( './../../../../base/assert/is-nan' ); +var randu = require( '@stdlib/random/base/randu' ); +var abs = require( './../../../../base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var asind = 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 asind, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arcsine 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 = asind( x[i] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1.4 * 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 arcsine 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 = asind( x[i] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1.4 * 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 = asind( NaN ); + t.equal( isnan( v ), true, 'returns NaN' ); + 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()*1.0e6) - (1.0-EPS); + t.equal( isnan( asind( v ) ), true, 'returns NaN when provided '+v ); + } + 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()*1.0e6) + 1.0 + EPS; + t.equal( isnan( asind( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +});