From 7d855d19453e4b94b70dd4a25e9b291590e50fa2 Mon Sep 17 00:00:00 2001 From: Sai Srikar Dumpeti <80447788+the-r3aper7@users.noreply.github.com> Date: Wed, 13 Mar 2024 05:16:17 +0530 Subject: [PATCH] feat: add `math/base/special/asind` PR-URL: #1781 Closes: #35 --------- Signed-off-by: Sai Srikar Dumpeti <80447788+the-r3aper7@users.noreply.github.com> Signed-off-by: Philipp Burckhardt Co-authored-by: Philipp Burckhardt Reviewed-by: Philipp Burckhardt --- .../@stdlib/math/base/special/asind/README.md | 108 ++++++++++++++++ .../base/special/asind/benchmark/benchmark.js | 51 ++++++++ .../math/base/special/asind/docs/repl.txt | 29 +++++ .../base/special/asind/docs/types/index.d.ts | 52 ++++++++ .../base/special/asind/docs/types/test.ts | 44 +++++++ .../math/base/special/asind/examples/index.js | 29 +++++ .../math/base/special/asind/lib/index.js | 52 ++++++++ .../math/base/special/asind/lib/main.js | 63 ++++++++++ .../math/base/special/asind/package.json | 66 ++++++++++ .../special/asind/test/fixtures/julia/REQUIRE | 2 + .../asind/test/fixtures/julia/negative.json | 1 + .../asind/test/fixtures/julia/positive.json | 1 + .../asind/test/fixtures/julia/runner.jl | 69 ++++++++++ .../math/base/special/asind/test/test.js | 119 ++++++++++++++++++ 14 files changed, 686 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/lib/main.js create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/asind/test/test.js diff --git a/lib/node_modules/@stdlib/math/base/special/asind/README.md b/lib/node_modules/@stdlib/math/base/special/asind/README.md new file mode 100644 index 00000000000..c0d499c6abe --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/asind/benchmark/benchmark.js new file mode 100644 index 00000000000..327a06aadaf --- /dev/null +++ b/lib/node_modules/@stdlib/math/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( '@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/asind/docs/repl.txt new file mode 100644 index 00000000000..014e881c4a1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/asind/docs/types/index.d.ts new file mode 100644 index 00000000000..c5314293fd8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/asind/docs/types/test.ts new file mode 100644 index 00000000000..8af9b9fc428 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/examples/index.js b/lib/node_modules/@stdlib/math/base/special/asind/examples/index.js new file mode 100644 index 00000000000..7f60134db48 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/lib/index.js b/lib/node_modules/@stdlib/math/base/special/asind/lib/index.js new file mode 100644 index 00000000000..ed7549c4eb1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/lib/main.js b/lib/node_modules/@stdlib/math/base/special/asind/lib/main.js new file mode 100644 index 00000000000..fe1b27541af --- /dev/null +++ b/lib/node_modules/@stdlib/math/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( '@stdlib/math/base/special/rad2deg' ); +var asin = require( '@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/package.json b/lib/node_modules/@stdlib/math/base/special/asind/package.json new file mode 100644 index 00000000000..d866f25c628 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/REQUIRE new file mode 100644 index 00000000000..ae40bf73640 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/negative.json b/lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/negative.json new file mode 100644 index 00000000000..01306788d99 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/asind/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/asind/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/asind/test/fixtures/julia/runner.jl new file mode 100644 index 00000000000..502f24accf7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/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/lib/node_modules/@stdlib/math/base/special/asind/test/test.js b/lib/node_modules/@stdlib/math/base/special/asind/test/test.js new file mode 100644 index 00000000000..3035bd99d1f --- /dev/null +++ b/lib/node_modules/@stdlib/math/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( '@stdlib/math/base/assert/is-nan' ); +var randu = require( '@stdlib/random/base/randu' ); +var abs = require( '@stdlib/math/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(); +});