diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/README.md b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/README.md new file mode 100644 index 000000000000..6581a57da3bc --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/README.md @@ -0,0 +1,175 @@ + + +# FLOAT32_GLAISHER + +> [Glaisher-Kinkelin][glaisher-constant] constant. + +
+ +[Glaisher-Kinkelin][glaisher-constant] constant is defined as + + + +```math +A = \lim_{n\to\infty} \frac{K(n + 1)}{n^{n^2/2 + n/2 + 1/12}e^{-n^2/4}} +``` + + + + + +where + + + +```math +K(n) = \prod_{k=1}^{n-1} k^k +``` + + + + + +is the [K-function][k-function]. + +
+ + + +
+ +## Usage + +```javascript +var FLOAT32_GLAISHER = require( '@stdlib/constants/float32/glaisher-kinkelin' ); +``` + +#### FLOAT32_GLAISHER + +The [Glaisher-Kinkelin][glaisher-constant] constant. + +```javascript +var bool = ( FLOAT32_GLAISHER === 1.2824270725250244 ); +// returns true +``` + +
+ + + +
+ +## Examples + + + + + +```javascript +var FLOAT32_GLAISHER = require( '@stdlib/constants/float32/glaisher-kinkelin' ); + +console.log( 'Glaisher\'s constant: %d', FLOAT32_GLAISHER ); +// => 'Glaisher\'s constant: 1.2824270725250244' +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/constants/float32/glaisher_kinkelin.h" +``` + +#### STDLIB_CONSTANT_FLOAT32_GLAISHER + +Macro for the [Glaisher-Kinkelin][glaisher-constant] constant. + +
+ + + + + +
+ +
+ + + + + +
+ +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[glaisher-constant]: https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin_constant + +[k-function]: https://en.wikipedia.org/wiki/K-function + +
+ + diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_glaisher_kinkelin_constant.svg b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_glaisher_kinkelin_constant.svg new file mode 100644 index 000000000000..01c46397cd30 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_glaisher_kinkelin_constant.svg @@ -0,0 +1,84 @@ + +upper A equals limit Underscript n right-arrow normal infinity Endscripts StartFraction upper K left-parenthesis n plus 1 right-parenthesis Over n Superscript n squared slash 2 plus n slash 2 plus 1 slash 12 Baseline e Superscript minus n squared slash 4 Baseline EndFraction + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_k_function.svg b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_k_function.svg new file mode 100644 index 000000000000..18eded010cc9 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/img/equation_k_function.svg @@ -0,0 +1,38 @@ + +upper K left-parenthesis n right-parenthesis equals product Underscript k equals 1 Overscript n minus 1 Endscripts k Superscript k + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/repl.txt b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/repl.txt new file mode 100644 index 000000000000..ebb4f24731ee --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/repl.txt @@ -0,0 +1,12 @@ + +{{alias}} + Glaisher-Kinkelin constant. + + Examples + -------- + > {{alias}} + 1.2824270725250244 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/index.d.ts b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/index.d.ts new file mode 100644 index 000000000000..6c554bfa6d11 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/index.d.ts @@ -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. +*/ + +// TypeScript Version: 4.1 + +/** +* Glaisher-Kinkelin constant. +* +* @example +* var val = FLOAT32_A; +* // returns 1.2824270725250244 +*/ +declare const FLOAT32_A: number; + + +// EXPORTS // + +export = FLOAT32_A; diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/test.ts b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/test.ts new file mode 100644 index 000000000000..09103b4be369 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/docs/types/test.ts @@ -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. +*/ + +import FLOAT32_A = require( './index' ); + + +// TESTS // + +// The export is a number... +{ + // eslint-disable-next-line @typescript-eslint/no-unused-expressions + FLOAT32_A; // $ExpectType number +} diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/examples/index.js b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/examples/index.js new file mode 100644 index 000000000000..b90ebf497be1 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/examples/index.js @@ -0,0 +1,24 @@ +/** +* @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 FLOAT32_A = require( './../lib' ); + +console.log( 'Glaisher\'s constant: %f', FLOAT32_A ); +// => 1.2824270725250244 diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/include/stdlib/constants/float32/glaisher_kinkelin.h b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/include/stdlib/constants/float32/glaisher_kinkelin.h new file mode 100644 index 000000000000..96ec1c718aa9 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/include/stdlib/constants/float32/glaisher_kinkelin.h @@ -0,0 +1,27 @@ +/** +* @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. +*/ + +#ifndef STDLIB_CONSTANTS_FLOAT32_GLAISHER_KINKELIN_H +#define STDLIB_CONSTANTS_FLOAT32_GLAISHER_KINKELIN_H + +/** +* Macro for the Glaisher-Kinkelin constant. +*/ +#define STDLIB_CONSTANT_FLOAT32_GLAISHER 1.2824270725250244f + +#endif // !STDLIB_CONSTANTS_FLOAT32_GLAISHER_KINKELIN_H diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/lib/index.js b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/lib/index.js new file mode 100644 index 000000000000..26f93bc732b1 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/lib/index.js @@ -0,0 +1,53 @@ +/** +* @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'; + +/** +* Glaisher-Kinkelin constant. +* +* @module @stdlib/constants/float32/glaisher-kinkelin +* @type {number} +* +* @example +* var FLOAT32_A = require( '@stdlib/constants/float32/glaisher-kinkelin' ); +* // returns 1.2824270725250244 +*/ + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Glaisher-Kinkelin constant. +* +* @constant +* @type {number} +* @default 1.2824270725250244 +* @see [OEIS]{@link https://oeis.org/A074962} +* @see [Wikipedia]{@link https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin_constant} +*/ +var FLOAT32_A = float64ToFloat32( 1.2824271291006226 ); + + +// EXPORTS // + +module.exports = FLOAT32_A; diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/manifest.json b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/manifest.json new file mode 100644 index 000000000000..844d692f6439 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/manifest.json @@ -0,0 +1,36 @@ +{ + "options": {}, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "src": [], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [] + } + ] +} diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/package.json b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/package.json new file mode 100644 index 000000000000..f7d92271e667 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/package.json @@ -0,0 +1,73 @@ +{ + "name": "@stdlib/constants/float32/glaisher-kinkelin", + "version": "0.0.0", + "description": "Glaisher-Kinkelin constant.", + "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": { + "doc": "./docs", + "example": "./examples", + "include": "./include", + "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", + "constant", + "const", + "mathematics", + "math", + "glaisher-kinkelin", + "glaisher", + "kinkelin", + "riemann", + "zeta", + "special functions", + "k function", + "barnes g function", + "gamma", + "ieee754", + "precision", + "floating-point", + "float", + "float32" + ] +} diff --git a/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/test/test.js b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/test/test.js new file mode 100644 index 000000000000..eea6d3cdb7b9 --- /dev/null +++ b/lib/node_modules/@stdlib/constants/float32/glaisher-kinkelin/test/test.js @@ -0,0 +1,38 @@ +/** +* @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 FLOAT32_A = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a number', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof FLOAT32_A, 'number', 'main export is a number' ); + t.end(); +}); + +tape( 'the exported value is a single-precision floating-point number equal to `1.2824270725250244`', function test( t ) { + t.equal( FLOAT32_A, 1.2824270725250244, 'returns 1.2824270725250244' ); + t.end(); +});