diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/README.md b/lib/node_modules/@stdlib/number/float64/base/to-float16/README.md new file mode 100644 index 000000000000..f33fa03f8a02 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/README.md @@ -0,0 +1,102 @@ + + +# toFloat16 + +> Convert a [double-precision floating-point number][ieee754] to the nearest [half-precision floating-point number][half-precision-floating-point-format]. + +
+ +## Usage + +```javascript +var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' ); +``` + +#### float64ToFloat16( x ) + +Converts a [double-precision floating-point number][ieee754] to the nearest [half-precision floating-point number][ieee754]. + +```javascript +var y = float64ToFloat16( 1.337 ); +// returns 1.3369140625 +``` + +
+ + + +
+ +## Notes + +- This function may be used as a polyfill for the ES2015 built-in [`Math.f16round`][math-f16round]. + +
+ + + +
+ +## Examples + + + +```javascript +var randu = require( '@stdlib/random/base/randu' ); +var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' ); + +var f64; +var f16; +var i; + +// Convert random double-precision floating-point numbers to the nearest half-precision floating-point number... +for ( i = 0; i < 1000; i++ ) { + f64 = randu() * 100.0; + f16 = float64ToFloat16( f64 ); + console.log( 'float64: %d => float16: %d', f64, f16 ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985 + +[half-precision-floating-point-format]: https://en.wikipedia.org/wiki/Half-precision_floating-point_format + +[math-f16round]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/f16round + +
+ + diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/benchmark/benchmark.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/benchmark/benchmark.js new file mode 100644 index 000000000000..3c114d810dde --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/benchmark/benchmark.js @@ -0,0 +1,101 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 float64ToFloat16 = require( './../lib' ); +var polyfill = require( './../lib/polyfill.js' ); + + +// VARIABLES // + +var opts = { + 'skip': ( typeof Math.f16round === 'undefined' ) // eslint-disable-line stdlib/no-builtin-math +}; + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu()*1.0e5 ) - 5.0e4; + y = float64ToFloat16( 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(); +}); + +bench( pkg+'::polyfill', function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu()*1.0e5 ) - 5.0e4; + y = polyfill( 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(); +}); + +bench( pkg+'::builtin', opts, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu()*1.0e5 ) - 5.0e4; + y = Math.f16round( x ); // eslint-disable-line stdlib/no-builtin-math + 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/number/float64/base/to-float16/docs/repl.txt b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/repl.txt new file mode 100644 index 000000000000..265c97a6b182 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/repl.txt @@ -0,0 +1,22 @@ + +{{alias}}( x ) + Converts a double-precision floating-point number to the nearest half- + precision floating-point number. + + Parameters + ---------- + x: number + Double-precision floating-point number. + + Returns + ------- + out: float + Nearest half-precision floating-point number. + + Examples + -------- + > var y = {{alias}}( 1.337 ) + 1.3369140625 + + See Also + -------- diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/index.d.ts b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/index.d.ts new file mode 100644 index 000000000000..ba0d7f93eca4 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/index.d.ts @@ -0,0 +1,36 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 + +/** +* Convert a double-precision floating-point number to the nearest half-precision floating-point number. +* +* @param x - double-precision floating-point number +* @returns nearest half-precision floating-point number +* +* @example +* var y = float64ToFloat16( 1.337 ); +* // returns 1.3369140625 +*/ +declare function float64ToFloat16( x: number ): number; + + +// EXPORTS // + +export = float64ToFloat16; diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/test.ts b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/test.ts new file mode 100644 index 000000000000..264b4e781add --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/test.ts @@ -0,0 +1,43 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 float64ToFloat16 = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + float64ToFloat16( 3.14 ); // $ExpectType number + float64ToFloat16( 0 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + float64ToFloat16( true ); // $ExpectError + float64ToFloat16( false ); // $ExpectError + float64ToFloat16( '5' ); // $ExpectError + float64ToFloat16( [] ); // $ExpectError + float64ToFloat16( {} ); // $ExpectError + float64ToFloat16( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + float64ToFloat16(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/examples/index.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/examples/index.js new file mode 100644 index 000000000000..7dfc9298eb2c --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/examples/index.js @@ -0,0 +1,33 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var randu = require( '@stdlib/random/base/randu' ); +var float64ToFloat16 = require( './../lib' ); + +var f64; +var f16; +var i; + +// Convert random double-precision floating-point numbers to the nearest half-precision floating-point number... +for ( i = 0; i < 1000; i++ ) { + f64 = randu() * 100.0; + f16 = float64ToFloat16( f64 ); + console.log( 'float64: %d => float16: %d', f64, f16 ); +} diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/index.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/index.js new file mode 100644 index 000000000000..5c4c6f0d73e6 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/index.js @@ -0,0 +1,51 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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'; + +/** +* Convert a double-precision floating-point number to the nearest half-precision floating-point number. +* +* @module @stdlib/number/float64/base/to-float16 +* +* @example +* var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' ); +* +* var y = float64ToFloat16( 1.337 ); +* // returns 1.3369140625 +*/ + +// MODULES // + +var builtin = require( './main.js' ); +var polyfill = require( './polyfill.js' ); + + +// MAIN // + +var float64ToFloat16; +if ( typeof builtin === 'function' ) { + float64ToFloat16 = builtin; +} else { + float64ToFloat16 = polyfill; +} + + +// EXPORTS // + +module.exports = float64ToFloat16; diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/main.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/main.js new file mode 100644 index 000000000000..f3c3cceb750c --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/main.js @@ -0,0 +1,28 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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'; + +// MAIN // + +var f16round = ( typeof Math.f16round === 'function' ) ? Math.f16round : null; // eslint-disable-line stdlib/no-builtin-math + + +// EXPORTS // + +module.exports = f16round; diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/polyfill.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/polyfill.js new file mode 100644 index 000000000000..4ad240b2bcf4 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/lib/polyfill.js @@ -0,0 +1,97 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 abs = require( '@stdlib/math/base/special/abs' ); +var FLOAT16_EPSILON = require( '@stdlib/constants/float16/eps' ); +var FLOAT16_MAX = require( '@stdlib/constants/float16/max' ); +var FLOAT16_MIN = require( '@stdlib/constants/float16/min' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); + + +// VARIABLES // + +var $isFinite = isFinite; +var inverseEpsilon = 1 / EPS; + + +// FUNCTIONS // + +/** +* Performs banker's rounding (round-half-to-even) via floating-point arithmetic. +* +* @private +* @param {number} n - input value +* @returns {number} rounded value +*/ +function roundTiesToEven( n ) { + return (n + inverseEpsilon) - inverseEpsilon; +} + + +// MAIN // + +/** +* Converts a double-precision floating-point number to the nearest half-precision floating-point number. +* +* @param {number} x - double-precision floating-point number +* @returns {number} nearest half-precision floating-point number +* +* @example +* var y = float64ToFloat16( 1.337 ); +* // returns 1.3369140625 +*/ +function float64ToFloat16( x ) { + var result; + var mod; + var a; + var s; + + if ( x === 0 || isNaN( x ) || !$isFinite( x ) ) { + return x; + } + if ( x < 0 ) { + s = -1; + } else { + s = 1; + } + + mod = abs( x ); + if ( mod < FLOAT16_MIN ) { + return ( + s * roundTiesToEven( mod / FLOAT16_MIN / FLOAT16_EPSILON ) * FLOAT16_MIN * FLOAT16_EPSILON // eslint-disable-line max-len + ); + } + + // Veltkamp's splitting + a = ( 1 + ( FLOAT16_EPSILON / EPS ) ) * mod; + result = a - ( a - mod ); + if ( result > FLOAT16_MAX || isNaN( result ) ) { + return s * PINF; + } + return s * result; +} + + +// EXPORTS // + +module.exports = float64ToFloat16; diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/package.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/package.json new file mode 100644 index 000000000000..62e9a2fa603c --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/package.json @@ -0,0 +1,72 @@ +{ + "name": "@stdlib/number/float64/base/to-float16", + "version": "0.0.0", + "description": "Convert a double-precision floating-point number to the nearest half-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", + "stdtypes", + "base", + "utilities", + "utility", + "utils", + "util", + "types", + "type", + "cast", + "convert", + "float64", + "double", + "dbl", + "float16", + "float", + "to", + "bits", + "number" + ] +} diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_large.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_large.json new file mode 100644 index 000000000000..90c76d6f9e75 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_large.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_small.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_small.json new file mode 100644 index 000000000000..0ad42fbbd0e1 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_small.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_subnormal.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_subnormal.json new file mode 100644 index 000000000000..5ddf1dcdda7f --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_subnormal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_tiny.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_tiny.json new file mode 100644 index 000000000000..e7790540f2c1 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/negative_tiny.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_large.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_large.json new file mode 100644 index 000000000000..7fddeabbe3af --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_large.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_normal.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_normal.json new file mode 100644 index 000000000000..87c183bd0743 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_normal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_subnormal.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_subnormal.json new file mode 100644 index 000000000000..dc4d68726942 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_subnormal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_tiny.json b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_tiny.json new file mode 100644 index 000000000000..97bde82880bb --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/positive_tiny.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..92b17e8ac573 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/fixtures/julia/runner.jl @@ -0,0 +1,105 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2025 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# 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( x, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -1000, stop = 1000, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( x, name ) + y = zeros( length(x) ); + for i in eachindex(x) + # Mimic implicit type promotion in JavaScript: + y[i] = convert( Float64, convert( Float16, x[i] ) ); + end + + # 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 ); + +# Positive normal values: +x = range( 0, stop = 1001, length = 500 ); +gen( x, "positive_normal.json" ); + +# Negative normal values: +x = range( -1001, stop = 0, length = 500 ); +gen( x, "negative_normal.json" ); + +# Positive small values: +x = range( 0, stop = 1, length = 500 ); +gen( x, "positive_small.json" ); + +# Negative small values: +x = range( -1, stop = 0, length = 500 ); +gen( x, "negative_small.json" ); + +# Positive tiny values: +x = range( 1e-4, stop = 1e-3, length = 500 ); +gen( x, "positive_tiny.json" ); + +# Negative tiny values: +x = range( -1e-4, stop = -1e-3, length = 500 ); +gen( x, "negative_tiny.json" ); + +# Positive subnormal values: +x = range( 1e-7, stop = 6e-5, length = 500 ); +gen( x, "positive_subnormal.json" ); + +# Negative subnormal values: +x = range( -1e-7, stop = -6e-5, length = 500 ); +gen( x, "negative_subnormal.json" ); + +# Large positive values: +x = range( 1e3, stop = 6.5e4, length = 500 ); +gen( x, "positive_large.json" ); + +# Large negative values: +x = range( -1e3, stop = -6.5e4, length = 500 ); +gen( x, "negative_large.json" ); diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.js new file mode 100644 index 000000000000..5251650322c7 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.js @@ -0,0 +1,260 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 proxyquire = require( 'proxyquire' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var polyfill = require( './../lib/polyfill.js' ); +var float64ToFloat16 = require( './../lib' ); + + +// FIXTURES // + +var negativeLarge = require( './fixtures/julia/negative_large.json' ); +var negativeNormal = require( './fixtures/julia/negative_normal.json' ); +var negativeSmall = require( './fixtures/julia/negative_small.json' ); +var negativeSubnormal = require( './fixtures/julia/negative_subnormal.json' ); +var negativeTiny = require( './fixtures/julia/negative_tiny.json' ); +var positiveLarge = require( './fixtures/julia/positive_large.json' ); +var positiveNormal = require( './fixtures/julia/positive_normal.json' ); +var positiveSmall = require( './fixtures/julia/positive_small.json' ); +var positiveSubnormal = require( './fixtures/julia/positive_subnormal.json' ); +var positiveTiny = require( './fixtures/julia/positive_tiny.json' ); + + +// NOTES // + +/* +* => In many comparisons, we rely on implicit promotion of half-precision floating-point numbers to double-precision equivalents; e.g., +-infinity, NaN. This stems from comparison operators defaulting to float64 operands. +*/ + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof float64ToFloat16, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if an environment supports `Math.f16round` (ES2015+), the main export is the built-in method', function test( t ) { + var float64ToFloat16 = proxyquire( './../lib', { + './main.js': foo + }); + t.strictEqual( float64ToFloat16, foo, 'returns expected value' ); + t.end(); + + function foo() { + // No-op... + } +}); + +tape( 'if an environment does not support `Math.f16round` (non-ES2015+), the main export is a polyfill', function test( t ) { + var float64ToFloat16 = proxyquire( './../lib', { + './main.js': false + }); + t.strictEqual( float64ToFloat16, polyfill, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `0`, the function returns `0`', function test( t ) { + var v = float64ToFloat16( 0.0 ); + t.strictEqual( v, 0.0, 'equals 0' ); + t.end(); +}); + +tape( 'if provided `-0`, the function returns `-0`', function test( t ) { + var v = float64ToFloat16( -0.0 ); + t.strictEqual( isNegativeZero( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `+infinity`, the function returns `+infinity`', function test( t ) { + var v = float64ToFloat16( PINF ); + t.strictEqual( v, PINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `-infinity`, the function returns `-infinity`', function test( t ) { + var v = float64ToFloat16( NINF ); + t.strictEqual( v, NINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `NaN`, the function returns `NaN`', function test( t ) { + var v = float64ToFloat16( NaN ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+large values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveLarge.x; + expected = positiveLarge.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+normal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveNormal.x; + expected = positiveNormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+small values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveSmall.x; + expected = positiveSmall.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+tiny values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveTiny.x; + expected = positiveTiny.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+subnormal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveSubnormal.x; + expected = positiveSubnormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-large values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeLarge.x; + expected = negativeLarge.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-normal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeNormal.x; + expected = negativeNormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-small values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeSmall.x; + expected = negativeSmall.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-tiny values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeTiny.x; + expected = negativeTiny.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-subnormal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeSubnormal.x; + expected = negativeSubnormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.polyfill.js b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.polyfill.js new file mode 100644 index 000000000000..d85855dda7f1 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float64/base/to-float16/test/test.polyfill.js @@ -0,0 +1,238 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* 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 NINF = require( '@stdlib/constants/float64/ninf' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var float64ToFloat16 = require( './../lib/polyfill.js' ); + + +// FIXTURES // + +var negativeLarge = require( './fixtures/julia/negative_large.json' ); +var negativeNormal = require( './fixtures/julia/negative_normal.json' ); +var negativeSmall = require( './fixtures/julia/negative_small.json' ); +var negativeSubnormal = require( './fixtures/julia/negative_subnormal.json' ); +var negativeTiny = require( './fixtures/julia/negative_tiny.json' ); +var positiveLarge = require( './fixtures/julia/positive_large.json' ); +var positiveNormal = require( './fixtures/julia/positive_normal.json' ); +var positiveSmall = require( './fixtures/julia/positive_small.json' ); +var positiveSubnormal = require( './fixtures/julia/positive_subnormal.json' ); +var positiveTiny = require( './fixtures/julia/positive_tiny.json' ); + + +// NOTES // + +/* +* => In many comparisons, we rely on implicit promotion of half-precision floating-point numbers to double-precision equivalents; e.g., +-infinity, NaN. This stems from comparison operators defaulting to float64 operands. +*/ + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof float64ToFloat16, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `0`, the function returns `0`', function test( t ) { + var v = float64ToFloat16( 0.0 ); + t.strictEqual( v, 0.0, 'equals 0' ); + t.end(); +}); + +tape( 'if provided `-0`, the function returns `-0`', function test( t ) { + var v = float64ToFloat16( -0.0 ); + t.strictEqual( isNegativeZero( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `+infinity`, the function returns `+infinity`', function test( t ) { + var v = float64ToFloat16( PINF ); + t.strictEqual( v, PINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `-infinity`, the function returns `-infinity`', function test( t ) { + var v = float64ToFloat16( NINF ); + t.strictEqual( v, NINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `NaN`, the function returns `NaN`', function test( t ) { + var v = float64ToFloat16( NaN ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+large values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveLarge.x; + expected = positiveLarge.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+normal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveNormal.x; + expected = positiveNormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+small values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveSmall.x; + expected = positiveSmall.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+tiny values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveTiny.x; + expected = positiveTiny.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (+subnormal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = positiveSubnormal.x; + expected = positiveSubnormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-large values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeLarge.x; + expected = negativeLarge.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-normal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeNormal.x; + expected = negativeNormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-small values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeSmall.x; + expected = negativeSmall.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-tiny values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeTiny.x; + expected = negativeTiny.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +}); + +tape( 'the function returns the nearest half-precision floating-point number (-subnormal values)', function test( t ) { + var expected; + var x; + var y; + var i; + + x = negativeSubnormal.x; + expected = negativeSubnormal.expected; + for ( i = 0; i < x.length; i++ ) { + y = float64ToFloat16( x[ i ] ); + t.strictEqual( y, expected[ i ], 'y: '+y+', expected: '+expected[ i ] ); + } + t.end(); +});