diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/README.md b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/README.md new file mode 100644 index 000000000000..1b9f88959fa9 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/README.md @@ -0,0 +1,139 @@ + + +# Skewness + +> Planck (discrete exponential) distribution [skewness][skewness]. + + + +
+ +The [skewness][skewness] for a Planck random variable is + + + +```math +\mathop{\mathrm{skew}}\left( X \right) = 2 \cosh\left( \frac{\lambda}{2} \right) +``` + + + +where `λ` is the shape parameter. + +
+ + + + + +
+ +## Usage + +```javascript +var skewness = require( '@stdlib/stats/base/dists/planck/skewness' ); +``` + +#### skewness( lambda ) + +Returns the [skewness][skewness] of a Planck distribution with shape parameter `lambda`. + +```javascript +var v = skewness( 0.1 ); +// returns ~2.0025 + +v = skewness( 1.5 ); +// returns ~2.5894 +``` + +If provided a shape parameter `lambda` which is nonpositive or `NaN`, the function returns `NaN`. + +```javascript +var v = skewness( NaN ); +// returns NaN + +v = skewness( -1.5 ); +// returns NaN +``` + +
+ + + + + +
+ +
+ + + + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var skewness = require( '@stdlib/stats/base/dists/planck/skewness' ); + +var lambda = uniform( 10, 0.1, 10.0 ); + +var v; +var i; +for ( i = 0; i < lambda.length; i++ ) { + v = skewness( lambda[ i ] ); + console.log( 'λ: %d, skew(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +
+ + + + + +
+ +[skewness]: https://en.wikipedia.org/wiki/Skewness + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/benchmark/benchmark.js new file mode 100644 index 000000000000..1b30b70b4d42 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/benchmark/benchmark.js @@ -0,0 +1,52 @@ +/** +* @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 uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var skewness = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var lambda; + var y; + var i; + + lambda = uniform( 100, 0.1, 10.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = skewness( lambda[ i % lambda.length ] ); + 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/stats/base/dists/planck/skewness/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/repl.txt new file mode 100644 index 000000000000..425b21e196ac --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/repl.txt @@ -0,0 +1,26 @@ + +{{alias}}( λ ) + Returns the skewness of a Planck distribution with shape parameter `λ`. + + If `λ <= 0`, the function returns `NaN`. + + Parameters + ---------- + λ: number + Shape parameter. + + Returns + ------- + out: number + Skewness. + + Examples + -------- + > var v = {{alias}}( 0.1 ) + ~2.0025 + > v = {{alias}}( 1.5 ) + ~2.5894 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/types/index.d.ts new file mode 100644 index 000000000000..c9a1bec062e0 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @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 + +/** +* Returns the skewness of a Planck distribution. +* +* ## Notes +* +* - If `lambda <= 0`, the function returns `NaN`. +* +* @param lambda - shape parameter +* @returns skewness +* +* @example +* var v = skewness( 0.1 ); +* // returns ~2.0025 +* +* @example +* var v = skewness( 0.5 ); +* // returns ~2.5894 +* +* @example +* var v = skewness( -1.1 ); +* // returns NaN +* +* @example +* var v = skewness( NaN ); +* // returns NaN +*/ +declare function skewness( lambda: number ): number; + + +// EXPORTS // + +export = skewness; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/docs/types/test.ts new file mode 100644 index 000000000000..26fba10eb1c0 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/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 skewness = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + skewness( 0.3 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + skewness( true ); // $ExpectError + skewness( false ); // $ExpectError + skewness( null ); // $ExpectError + skewness( undefined ); // $ExpectError + skewness( '5' ); // $ExpectError + skewness( [] ); // $ExpectError + skewness( {} ); // $ExpectError + skewness( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + skewness(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/examples/index.js new file mode 100644 index 000000000000..1e341166e65b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/examples/index.js @@ -0,0 +1,31 @@ +/** +* @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 uniform = require( '@stdlib/random/array/uniform' ); +var skewness = require( './../lib' ); + +var lambda = uniform( 10, 0.1, 10.0 ); + +var v; +var i; +for ( i = 0; i < lambda.length; i++ ) { + v = skewness( lambda[ i ] ); + console.log( 'λ: %d, skew(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/index.js new file mode 100644 index 000000000000..97a1d9ad8b0c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/index.js @@ -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. +*/ + +'use strict'; + +/** +* Planck distribution skewness. +* +* @module @stdlib/stats/base/dists/planck/skewness +* +* @example +* var skewness = require( '@stdlib/stats/base/dists/planck/skewness' ); +* +* var v = skewness( 0.1 ); +* // returns ~2.0025 +* +* v = skewness( 1.5 ); +* // returns ~2.5894 +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/main.js new file mode 100644 index 000000000000..022a23a3b48c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/lib/main.js @@ -0,0 +1,61 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var cosh = require( '@stdlib/math/base/special/cosh' ); + + +// MAIN // + +/** +* Returns the skewness of a Planck distribution. +* +* @param {PositiveNumber} lambda - shape parameter +* @returns {PositiveNumber} skewness +* +* @example +* var v = skewness( 0.1 ); +* // returns ~2.0025 +* +* @example +* var v = skewness( 1.5 ); +* // returns ~2.5894 +* +* @example +* var v = skewness( -1.1 ); +* // returns NaN +* +* @example +* var v = skewness( NaN ); +* // returns NaN +*/ +function skewness( lambda ) { + if ( isnan( lambda ) || lambda <= 0.0 ) { + return NaN; + } + return 2.0 * cosh( lambda / 2.0 ); +} + + +// EXPORTS // + +module.exports = skewness; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/package.json b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/package.json new file mode 100644 index 000000000000..bacbffc9da81 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/package.json @@ -0,0 +1,68 @@ +{ + "name": "@stdlib/stats/base/dists/planck/skewness", + "version": "0.0.0", + "description": "Planck (discrete exponential) distribution skewness.", + "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", + "statistics", + "stats", + "distribution", + "dist", + "planck", + "parameter", + "memoryless", + "life-time", + "discrete", + "skewness", + "shape", + "asymmetry", + "univariate" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/data.json b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/data.json new file mode 100644 index 000000000000..d82c79615415 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/data.json @@ -0,0 +1 @@ +{"lambda": [7.28771354747294, 17.19200605003821, 2.2888656743039726, 7.854727486099642, 6.69956741467767, 0.18088780521883896, 3.8994251606907615, 7.767118960954131, 7.704599286520617, 1.9741888460101942, 18.934567360935613, 18.906997276170156, 17.659859698861954, 13.966269433236032, 14.514808056689542, 6.986219738268884, 19.49518550638792, 11.014658386199478, 9.53520565093986, 7.714195971140285, 11.975963546456239, 5.148467495967046, 13.880430078037183, 11.896063746184867, 1.23712214997165, 1.4564293245987048, 19.04952156038298, 11.14689791219081, 3.503628205095448, 7.003517853433065, 1.4285991205561266, 14.585032546047678, 10.39210952455808, 6.506398830170168, 5.976339514281232, 1.42414831250943, 13.412956616521337, 1.8608357662885466, 0.19757664273147846, 0.1208208797558541, 15.1470018810671, 15.17975114584164, 10.257722444898985, 13.831350160524396, 12.336009339930191, 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3.5698724833535116, 632.9618963635173, 2749.600581926328, 15.146377142406415, 113.24426302833227, 109.17206751984844, 3797.1587848651398, 2.366893638035487, 3967.848481118579, 8.699115931797412, 103.85613781327305, 3.6758259969896887, 278.7052923874606, 72.44823308389341, 360.0642593645328, 2.502709150657873, 80.78273079675492, 153.37753244215662, 41.351608537302134]} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/runner.py new file mode 100644 index 000000000000..1403beb69158 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/fixtures/python/runner.py @@ -0,0 +1,77 @@ +#!/usr/bin/env python +# +# @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. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.stats import planck + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(lam, name): + """ + Generate fixture data and write to file. + + # Arguments + + * `lam`: shape parameter. + * `name::str`: output filename. + + # Examples + + ```python + python> lam = np.random.rand(1000) * 20.0 + python> gen(lam, "data.json") + ``` + """ + # Compute skewness values: + z = np.array(planck.stats(lam, moments='s')) + + # Store data to be written to file as a dictionary: + data = { + "lambda": lam.tolist(), + "expected": z.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding='utf-8') as outfile: + json.dump(data, outfile) + + # Include trailing newline: + with open(filepath, "a", encoding='utf-8') as outfile: + outfile.write("\n") + + +def main(): + """Generate fixture data.""" + lam = np.random.rand(1000) * 20.0 + gen(lam, "data.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/test.js new file mode 100644 index 000000000000..9d861efdcb00 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/skewness/test/test.js @@ -0,0 +1,82 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var skewness = require( './../lib' ); + + +// FIXTURES // + +var data = require( './fixtures/python/data.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof skewness, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for `lambda`, the function returns `NaN`', function test( t ) { + var v = skewness( NaN ); + t.equal( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a shape parameter `lambda` which is nonpositive, the function returns `NaN`', function test( t ) { + var v; + + v = skewness( 0.0 ); + t.equal( isnan( v ), true, 'returns expected value' ); + + v = skewness( -1.5 ); + t.equal( isnan( v ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function returns the skewness of a Planck distribution', function test( t ) { + var expected; + var lambda; + var delta; + var tol; + var i; + var y; + + expected = data.expected; + lambda = data.lambda; + for ( i = 0; i < expected.length; i++ ) { + y = skewness( lambda[ i ] ); + if ( y === expected[ i ] ) { + t.equal( y, expected[ i ], 'lambda: '+lambda[ i ]+', y: '+y+', expected: '+expected[ i ] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 1.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. lambda: '+lambda[ i ]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +});