diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/README.md b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/README.md new file mode 100644 index 000000000000..bc957cfe6c21 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/README.md @@ -0,0 +1,160 @@ + + +# fromBinaryString + +> Create a [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string]. + +
+ +## Usage + +```javascript +var fromBinaryString = require( '@stdlib/number/float16/base/from-binary-string' ); +``` + +#### fromBinaryString( bstr ) + +Creates a [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string]. + +```javascript +var bstr = '0100010000000000'; +var v = fromBinaryString( bstr ); +// returns 4.0 + +bstr = '0100001001001000'; +v = fromBinaryString( bstr ); +// returns ~3.140625 + +bstr = '1110001111010000'; +v = fromBinaryString( bstr ); +// returns -1000.0 +``` + +The function handles [subnormals][subnormals]. + +```javascript +var bstr = '1000000000000001'; +var val = fromBinaryString( bstr ); +// returns ~-5.96e-8 + +bstr = '0000000000000001'; +val = fromBinaryString( bstr ); +// returns ~5.96e-8 +``` + +The function handles special values. + +```javascript +var bstr = '0000000000000000'; +var val = fromBinaryString( bstr ); +// returns 0.0 + +bstr = '1000000000000000'; +val = fromBinaryString( bstr ); +// returns -0.0 + +bstr = '0111111000000000'; +val = fromBinaryString( bstr ); +// returns NaN + +bstr = '0111110000000000'; +val = fromBinaryString( bstr ); +// returns Infinity + +bstr = '1111110000000000'; +val = fromBinaryString( bstr ); +// returns -Infinity +``` + +
+ + + +
+ +## Examples + + + +```javascript +var randu = require( '@stdlib/random/base/randu' ); +var round = require( '@stdlib/math/base/special/round' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var toFloat16 = require( '@stdlib/number/float64/base/to-float16' ); +var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' ); +var fromBinaryString = require( '@stdlib/number/float16/base/from-binary-string' ); + +var frac; +var sign; +var exp; +var b; +var x; +var y; +var i; + +// Convert random numbers to IEEE 754 literal bit representations and then convert them back... +for ( i = 0; i < 100; i++ ) { + if ( randu() < 0.5 ) { + sign = -1.0; + } else { + sign = 1.0; + } + frac = randu() * 10.0; + exp = round( randu()*5.0 ); + if ( randu() < 0.5 ) { + exp = -exp; + } + x = sign * frac * pow( 2.0, exp ); + x = toFloat16( x ); + + b = toBinaryString( x ); + y = fromBinaryString( b ); + + console.log( '%d => %s => %d', x, b, y ); + console.log( x === y ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985 + +[subnormals]: https://en.wikipedia.org/wiki/Denormal_number + +[@stdlib/number/float16/base/to-binary-string]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/number/float16/base/to-binary-string + +
+ + diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/benchmark/benchmark.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/benchmark/benchmark.js new file mode 100644 index 000000000000..d9fc323359fd --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/benchmark/benchmark.js @@ -0,0 +1,56 @@ +/** +* @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 bernoulli = require( '@stdlib/random/array/bernoulli' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var fromBinaryString = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var r; + var i; + + r = bernoulli( 100, 0.5, { + 'dtype': 'generic' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = '101010101010101'+( (r[ i%r.length ] < 1 ) ? '0' : '1' ); + y = fromBinaryString( 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/number/float16/base/from-binary-string/docs/repl.txt b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/repl.txt new file mode 100644 index 000000000000..eb6dc833aeec --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/repl.txt @@ -0,0 +1,55 @@ + +{{alias}}( bstr ) + Creates a half-precision floating-point number from an IEEE 754 literal + bit representation. + + Parameters + ---------- + bstr: string + Literal bit representation. + + Returns + ------- + out: float + Half-precision floating-point number. + + Examples + -------- + > var bstr = '0100010000000000'; + > var val = {{alias}}( bstr ) + 4.0 + > bstr = '0100001001001000'; + > val = {{alias}}( bstr ) + ~3.140625 + > bstr = '1110001111010000'; + > val = {{alias}}( bstr ) + -1000.0 + + // The function handles subnormals: + > bstr = '0000000000000001'; + > val = {{alias}}( bstr ) + ~5.96e-8 + > bstr = '1000000000000001'; + > val = {{alias}}( bstr ) + ~-5.96e-8 + + // The function handles special values: + > bstr = '0000000000000000'; + > val = {{alias}}( bstr ) + 0.0 + > bstr = '1000000000000000'; + > val = {{alias}}( bstr ) + -0.0 + > bstr = '0111110000000001'; + > val = {{alias}}( bstr ) + NaN + > bstr = '0111110000000000'; + > val = {{alias}}( bstr ) + Infinity + > bstr = '1111110000000000'; + > val = {{alias}}( bstr ) + -Infinity + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/index.d.ts b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/index.d.ts new file mode 100644 index 000000000000..697c29584511 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/index.d.ts @@ -0,0 +1,58 @@ +/* +* @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 + +/** +* Creates a half-precision floating-point number from an IEEE 754 literal bit representation. +* +* @param bstr - string which is a literal bit representation +* @throws must provide a string with a length equal to `16` +* @returns half-precision floating-point number +* +* @example +* var bstr = '0100010000000000'; +* var v = fromBinaryString( bstr ); +* // returns 4.0 +* +* @example +* var bstr = '0100001001001000'; +* var v = fromBinaryString( bstr ); +* // returns ~3.140625 +* +* @example +* var bstr = '1110001111010000'; +* var v = fromBinaryString( bstr ); +* // returns -1000.0 +* +* @example +* var bstr = '0000000000000000'; +* var v = fromBinaryString( bstr ); +* // returns 0.0 +* +* @example +* var bstr = '1000000000000000'; +* var v = fromBinaryString( bstr ); +* // returns -0.0 +*/ +declare function fromBinaryString( bstr: string ): number; + + +// EXPORTS // + +export = fromBinaryString; diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/test.ts b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/test.ts new file mode 100644 index 000000000000..128e5e9d6c09 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @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 fromBinaryString = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + fromBinaryString( '0100010000000000' ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a string... +{ + fromBinaryString( true ); // $ExpectError + fromBinaryString( false ); // $ExpectError + fromBinaryString( null ); // $ExpectError + fromBinaryString( undefined ); // $ExpectError + fromBinaryString( 5 ); // $ExpectError + fromBinaryString( [] ); // $ExpectError + fromBinaryString( {} ); // $ExpectError + fromBinaryString( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + fromBinaryString(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/examples/index.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/examples/index.js new file mode 100644 index 000000000000..358d8ae73c6c --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/examples/index.js @@ -0,0 +1,56 @@ +/** +* @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 round = require( '@stdlib/math/base/special/round' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var toFloat16 = require( '@stdlib/number/float64/base/to-float16' ); +var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' ); +var fromBinaryString = require( './../lib' ); + +var frac; +var sign; +var exp; +var b; +var x; +var y; +var i; + +// Convert random numbers to IEEE 754 literal bit representations and then convert them back... +for ( i = 0; i < 100; i++ ) { + if ( randu() < 0.5 ) { + sign = -1.0; + } else { + sign = 1.0; + } + frac = randu() * 10.0; + exp = round( randu()*5.0 ); + if ( randu() < 0.5 ) { + exp = -exp; + } + x = sign * frac * pow( 2.0, exp ); + x = toFloat16( x ); + + b = toBinaryString( x ); + y = fromBinaryString( b ); + + console.log( '%d => %s => %d', x, b, y ); + console.log( x === y ); +} diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/index.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/index.js new file mode 100644 index 000000000000..c271755c67fb --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/index.js @@ -0,0 +1,49 @@ +/** +* @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'; + +/** +* Create a half-precision floating-point number from an IEEE 754 literal bit representation. +* +* @module @stdlib/number/float16/base/from-binary-string +* +* @example +* var fromBinaryString = require( '@stdlib/number/float16/base/from-binary-string' ); +* +* var bstr = '0100010000000000'; +* var val = fromBinaryString( bstr ); +* // returns 4.0 +* +* bstr = '0100001001001000'; +* val = fromBinaryString( bstr ); +* // returns ~3.140625 +* +* bstr = '1110001111010000'; +* val = fromBinaryString( bstr ); +* // returns -1000.0 +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/main.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/main.js new file mode 100644 index 000000000000..11755193957c --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/main.js @@ -0,0 +1,108 @@ +/** +* @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 PINF = require( '@stdlib/constants/float16/pinf' ); +var NINF = require( '@stdlib/constants/float16/ninf' ); +var BIAS = require( '@stdlib/constants/float16/exponent-bias' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var format = require( '@stdlib/string/format' ); +var toFloat16 = require( '@stdlib/number/float64/base/to-float16' ); +var toFrac = require( './tofrac.js' ); + + +// MAIN // + +/** +* Creates a half-precision floating-point number from an IEEE 754 literal bit representation. +* +* @param {BinaryString} bstr - string which is a literal bit representation +* @throws {Error} must provide a string with a length equal to `16` +* @returns {number} half-precision floating-point number +* +* @example +* var bstr = '0100010000000000'; +* var v = fromBinaryString( bstr ); +* // returns 4.0 +* +* @example +* var bstr = '0100001001001000'; +* var v = fromBinaryString( bstr ); +* // returns ~3.140625 +* +* @example +* var bstr = '1110001111010000'; +* var v = fromBinaryString( bstr ); +* // returns -1000.0 +* +* @example +* var bstr = '0000000000000000'; +* var v = fromBinaryString( bstr ); +* // returns 0.0 +* +* @example +* var bstr = '1000000000000000'; +* var v = fromBinaryString( bstr ); +* // returns -0.0 +*/ +function fromBinaryString( bstr ) { + var sign; + var frac; + var exp; + + if ( bstr.length !== 16 ) { + throw new Error( format( 'invalid argument. Input string must have a length equal to %u. Value: `%s`.', 16, bstr ) ); + } + // Sign bit: + sign = ( bstr[0] === '1' ) ? -1.0 : 1.0; + + // Exponent bits: + exp = parseInt( bstr.substring(1, 6), 2 ) - BIAS; + + // Fraction bits: + frac = toFrac( bstr.substring( 6 ) ); + + // Detect `0` (all 0s) and subnormals (exponent bits are all 0, but fraction bits are not all 0s)... + if ( exp === -BIAS ) { + if ( frac === 0.0 ) { + return ( sign === 1.0 ) ? 0.0 : -0.0; + } + exp = -(BIAS-1); // subnormals are special in that their exponent is constant + } + // Detect `+-inf` (exponent bits are all 1 and fraction is 0) and `NaN` (exponent bits are all 1 and fraction is not 0)... + else if ( exp === BIAS+1 ) { + if ( frac === 0.0 ) { + return ( sign === 1.0 ) ? PINF : NINF; + } + return NaN; + } + // Normal numbers... + else { + // Account for hidden/implicit bit (2^0): + frac += 1.0; + } + return toFloat16( sign * frac * pow( 2.0, exp ) ); +} + + +// EXPORTS // + +module.exports = fromBinaryString; diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/tofrac.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/tofrac.js new file mode 100644 index 000000000000..66199143ec00 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/lib/tofrac.js @@ -0,0 +1,57 @@ +/** +* @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 pow = require( '@stdlib/math/base/special/pow' ); + + +// MAIN // + +/** +* Converts a float's fraction bit sequence to a numeric value. +* +* @private +* @param {BinaryString} frac - literal bit representation of a float's fraction bit sequence +* @returns {number} fraction value +* +* @example +* var v = toFrac( '0000000000' ); +* // returns 0.0 +* +* @example +* var v = toFrac( '1000000000' ); +* // returns 0.5 +*/ +function toFrac( frac ) { + var sum = 0; + var i; + for ( i = 0; i < frac.length; i++ ) { + if ( frac[ i ] === '1' ) { + sum += pow( 2.0, -(i+1) ); + } + } + return sum; +} + + +// EXPORTS // + +module.exports = toFrac; diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/package.json b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/package.json new file mode 100644 index 000000000000..54fd1d584ae6 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/package.json @@ -0,0 +1,73 @@ +{ + "name": "@stdlib/number/float16/base/from-binary-string", + "version": "0.0.0", + "description": "Create a half-precision floating-point number from a literal bit representation.", + "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", + "binary", + "bin", + "bits", + "float16", + "half", + "float", + "floating-point", + "parse", + "string", + "number", + "ieee754" + ] +} diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_-1e3_1e3.json b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_-1e3_1e3.json new file mode 100644 index 000000000000..c1980410d410 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_-1e3_1e3.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e-7_1e-8.json b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e-7_1e-8.json new file mode 100644 index 000000000000..6e5407c5766e --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e-7_1e-8.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e4_6e4.json b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e4_6e4.json new file mode 100644 index 000000000000..af8d3311040f --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/bits_1e4_6e4.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..a834f579811d --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/fixtures/julia/runner.jl @@ -0,0 +1,84 @@ +#!/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( -100, stop = 100, length = 1007 ); +julia> gen( x, "data.json" ); +``` +""" +function gen( x, name ) + y = Array{Any}( undef, length(x) ); + z = Array{Any}( undef, length(x) ); + for i in eachindex(x) + # Mimic implicit type promotion in JavaScript where we need to cast a Float64 to a Float16 before deriving a bit sequence: + f16 = convert( Float16, x[i] ); + y[i] = bitstring( f16 ); + z[i] = convert( Float64, f16 ); + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", y), + ("expected", z) + ]); + + # 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 ); + +# Small values: +x = range( 1e-6, stop = 1e-7, length = 1007 ); +gen( x, "bits_1e-6_1e-7.json" ); + +# Medium values: +x = range( -1e3, stop = 1e3, length = 1007 ); +gen( x, "bits_-1e3_1e3.json" ); + +# Large values: +x = range( 1e4, stop = 6e4, length = 1007 ); +gen( x, "bits_1e4_6e4.json" ); + +# Subnormal values: +x = range( 1e-7, stop = 1e-8, length = 1007 ); +gen( x, "bits_1e-7_1e-8.json" ); diff --git a/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/test.js b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/test.js new file mode 100644 index 000000000000..d7bb449bd784 --- /dev/null +++ b/lib/node_modules/@stdlib/number/float16/base/from-binary-string/test/test.js @@ -0,0 +1,161 @@ +/** +* @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 PINF = require( '@stdlib/constants/float16/pinf' ); +var NINF = require( '@stdlib/constants/float16/ninf' ); +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); +var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' ); +var fromBinaryString = require( './../lib' ); + + +// FIXTURES // + +var small = require( './fixtures/julia/bits_1e-6_1e-7.json' ); +var medium = require( './fixtures/julia/bits_-1e3_1e3.json' ); +var large = require( './fixtures/julia/bits_1e4_6e4.json' ); +var subnormal = require( './fixtures/julia/bits_1e-7_1e-8.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof fromBinaryString, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided a string with a length other than `16`, the function throws an error', function test( t ) { + var values; + var i; + + values = [ + 'beep', + '1010101', + '', + '101', + '111111111', + '1111111111111111111111111111111', + '111111111111111111111111111111111' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[i] ), Error, 'throws an error when provided '+values[i] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + fromBinaryString( value ); + }; + } +}); + +tape( 'if provided all zeros, the function returns `+0`', function test( t ) { + var v = fromBinaryString( toBinaryString( 0.0 ) ); + t.strictEqual( isPositiveZero( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a sign bit of 1 and all zeros, the function returns `-0`', function test( t ) { + var v = fromBinaryString( toBinaryString( -0.0 ) ); + t.strictEqual( isNegativeZero( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a bit sequence where all exponent bits are 1s and everything else is 0, the function returns positive infinity', function test( t ) { + t.strictEqual( fromBinaryString( toBinaryString( PINF ) ), PINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a bit sequence where the sign bit is 1, all exponent bits are 1s, and everything else is 0, the function returns negative infinity', function test( t ) { + t.strictEqual( fromBinaryString( toBinaryString( NINF ) ), NINF, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a bit sequence where the sign bit may be either 1 or 0, all exponent bits are 1s, and the fraction is not all 0s, the function returns `NaN`', function test( t ) { + var v = fromBinaryString( toBinaryString( NaN ) ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function creates half-precision floating-point numbers from literal bit representations for small values', function test( t ) { + var expected; + var val; + var x; + var i; + + x = small.x; + expected = small.expected; + for ( i = 0; i < x.length; i++ ) { + val = fromBinaryString( x[ i ] ); + t.strictEqual( val, expected[ i ], 'returns a float equal to ' + expected[ i ] + ' from ' + x[ i ] ); + } + t.end(); +}); + +tape( 'the function creates half-precision floating-point numbers from literal bit representations for medium values', function test( t ) { + var expected; + var val; + var x; + var i; + + x = medium.x; + expected = medium.expected; + for ( i = 0; i < x.length; i++ ) { + val = fromBinaryString( x[ i ] ); + t.strictEqual( val, expected[ i ], 'returns a float equal to ' + expected[ i ] + ' from ' + x[ i ] ); + } + t.end(); +}); + +tape( 'the function creates half-precision floating-point numbers from literal bit representations for large values', function test( t ) { + var expected; + var val; + var x; + var i; + + x = large.x; + expected = large.expected; + for ( i = 0; i < x.length; i++ ) { + val = fromBinaryString( x[ i ] ); + t.strictEqual( val, expected[ i ], 'returns a float equal to ' + expected[ i ] + ' from ' + x[ i ] ); + } + t.end(); +}); + +tape( 'the function creates half-precision floating-point numbers from literal bit representations for subnormal values', function test( t ) { + var expected; + var val; + var x; + var i; + + x = subnormal.x; + expected = subnormal.expected; + for ( i = 0; i < x.length; i++ ) { + val = fromBinaryString( x[ i ] ); + t.strictEqual( val, expected[ i ], 'returns a float equal to ' + expected[ i ] + ' from ' + x[ i ] ); + } + t.end(); +});