diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/README.md new file mode 100644 index 000000000000..7cd312ee8bf5 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/README.md @@ -0,0 +1,157 @@ + + +# Cumulative Distribution Function + +> [Bradford][bradford-distribution] distribution [cumulative distribution function][cdf] (CDF). + +
+ +The [cumulative distribution function][cdf] (CDF) for a [Bradford][bradford-distribution] random variable is + + + +```math +F(x;c)=\frac{\ln(1+cx)}{\ln(1+c)} +``` + + + + + +where `c > 0` is the shape parameter of the distribution. + +
+ + + +
+ +## Usage + +```javascript +var cdf = require( '@stdlib/stats/base/dists/bradford/cdf' ); +``` + +#### cdf( x, c ) + +Evaluates the [cumulative distribution function][cdf] (CDF) for a [Bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`. + +```javascript +var y = cdf( 0.1, 0.1 ); +// returns ~0.104 + +y = cdf( 0.5, 5.0 ); +// returns ~0.699 + +y = cdf( 1.0, 10.0 ); +// returns 1.0 + +y = cdf( -0.5, 1.0 ); +// returns 0.0 + +y = cdf( 2.0, 1.0 ); +// returns 1.0 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = cdf( NaN, 1.0 ); +// returns NaN + +y = cdf( 0.0, NaN ); +// returns NaN +``` + +If provided a shape parameter `c <= 0`, the function returns `NaN`. + +```javascript +var y = cdf( 0.0, 0.0 ); +// returns NaN + +y = cdf( 0.5, -5.0 ); +// returns NaN +``` + +#### cdf.factory( c ) + +Returns a function for evaluating the [CDF][cdf] of a [Bradford][bradford-distribution] distribution with shape parameter `c`. + +```javascript +var myPDF = cdf.factory( 5.0 ); +var y = myPDF( 0.5 ); +// returns ~0.699 + +y = myPDF( 1.0 ); +// returns 1.0 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var cdf = require( '@stdlib/stats/base/dists/bradford/cdf' ); + +var x = uniform( 10, 0.0, 1.0 ); +var c = uniform( 10, 0.1, 10.0 ); + +var y; +var i; +for ( i = 0; i < x.length; i++ ) { + y = cdf( x[ i ], c[ i ] ); + console.log( 'x: %d, c: %d, F(x;c): %d', x[ i ].toFixed( 4 ), c[ i ].toFixed( 4 ), y.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function + +[bradford-distribution]: https://en.wikipedia.org/wiki/Bradford%27s_law + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/benchmark/benchmark.js new file mode 100644 index 000000000000..54a26f984489 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/benchmark/benchmark.js @@ -0,0 +1,78 @@ +/** +* @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 cdf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var c; + var y; + var i; + + x = uniform( 100, 0.0, 1.0 ); + c = uniform( 100, 0.1, 10.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = cdf( x[ i % x.length ], c[ i % c.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(); +}); + +bench( pkg+':factory', function benchmark( b ) { + var mycdf; + var x; + var y; + var i; + + x = uniform( 100, 0.0, 1.0 ); + mycdf = cdf.factory( 5.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = mycdf( x[ i % x.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/bradford/cdf/docs/img/equation_bradford_cdf.svg b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/img/equation_bradford_cdf.svg new file mode 100644 index 000000000000..1f1ec4a42eca --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/img/equation_bradford_cdf.svg @@ -0,0 +1,49 @@ + +upper F left-parenthesis x semicolon c right-parenthesis equals StartFraction ln left-parenthesis 1 plus c x right-parenthesis Over ln left-parenthesis 1 plus c right-parenthesis EndFraction + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/repl.txt new file mode 100644 index 000000000000..16300ca9c1fa --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/repl.txt @@ -0,0 +1,72 @@ + +{{alias}}( x, c ) + Evaluates the cumulative distribution function + (CDF) for a Bradford distribution + with shape parameter `c` at a value `x`. + + If provided `NaN` as any argument, the function returns `NaN`. + + If provided `c <= 0`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + c: number + Shape parameter. + + Returns + ------- + out: number + Evaluated CDF. + + Examples + -------- + > var y = {{alias}}( 0.1, 0.1 ) + ~0.104 + > y = {{alias}}( 0.5, 5.0 ) + ~0.699 + > y = {{alias}}( 1.0, 10.0 ) + 1.0 + > y = {{alias}}( -1.0, 0.5 ) + 0.0 + > y = {{alias}}( 2.0, 0.5 ) + 1.0 + + > y = {{alias}}( 0.5, 0.0 ) + NaN + > y = {{alias}}( 0.5, -5.0 ) + NaN + + > y = {{alias}}( NaN, 1.0 ) + NaN + > y = {{alias}}( 1.0, NaN ) + NaN + + +{{alias}}.factory( c ) + Returns a function for evaluating the cumulative distribution function + (CDF) of a Bradford distribution with shape parameter `c`. + + Parameters + ---------- + c: number + Shape parameter. + + Returns + ------- + cdf: Function + Cumulative distribution function (CDF). + + Examples + -------- + > var myCDF = {{alias}}.factory( 5.0 ); + > var y = myCDF( 0.5 ) + ~0.699 + > y = myCDF( 1.0 ) + 1.0 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/index.d.ts new file mode 100644 index 000000000000..049e7babd208 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/index.d.ts @@ -0,0 +1,123 @@ +/* +* @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 + +/** +* Evaluates the cumulative distribution function (CDF) for a Bradford distribution. +* +* @param x - input value +* @returns evaluated CDF +*/ +type Unary = ( x: number ) => number; + + +/** +* Interface for the cumulative distribution function (CDF) of a Bradford distribution. +*/ +interface CDF { + /** + * Evaluates the cumulative distribution function (CDF) for a Bradford distribution with shape parameter `c` at a value `x`. + * + * ## Notes + * + * - If provided `c <= 0`, the function returns `NaN`. + * + * @param x - input value + * @param c - shape parameter + * @returns evaluated CDF + * + * @example + * var v = cdf( 0.1, 0.1 ); + * // returns ~0.104 + * + * @example + * var v = cdf( 0.5, 5.0 ); + * // returns ~0.699 + * + * @example + * var v = cdf( 1.0, 10.0 ); + * // returns 1.0 + * + * @example + * var y = cdf( -1.0, 0.5 ); + * // returns 0.0 + * + * @example + * var y = cdf( 2.0, 0.5 ); + * // returns 1.0 + * + * @example + * var y = cdf( 0.5, 0.0 ); + * // returns NaN + * + * @example + * var y = cdf( 0.5, -5.0 ); + * // returns NaN + * + * @example + * var y = cdf( NaN, 1.0 ); + * // returns NaN + * + * @example + * var y = cdf( 1.0, NaN ); + * // returns NaN + */ + ( x: number, c: number ): number; + + /** + * Returns a function for evaluating the cumulative distribution function (CDF) for a Bradford distribution with shape parameter `c`. + * + * @param c - shape parameter + * @returns CDF + * + * @example + * var mypdf = cdf.factory( 5.0 ); + * var y = mypdf( 0.5 ); + * // returns ~0.699 + * + * y = mypdf( 1.0 ); + * // returns 1.0 + */ + factory( c: number ): Unary; +} + +/** +* Bradford distribution cumulative distribution function (CDF). +* +* @param x - input value +* @param c - shape parameter +* @returns evaluated CDF +* +* @example +* var y = cdf( 0.5, 5.0 ); +* // returns ~0.699 +* +* var mycdf = cdf.factory( 5.0 ); +* y = mycdf( 0.5 ); +* // returns ~0.699 +* +* y = mycdf( 1.0 ); +* // returns 1.0 +*/ +declare var cdf: CDF; + + +// EXPORTS // + +export = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/test.ts new file mode 100644 index 000000000000..ebbb045aaad5 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/docs/types/test.ts @@ -0,0 +1,98 @@ +/* +* @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 cdf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + cdf( 0, 1 ); // $ExpectType number + cdf( 1, 5 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than two numbers... +{ + cdf( true, 3 ); // $ExpectError + cdf( false, 2 ); // $ExpectError + cdf( '5', 1 ); // $ExpectError + cdf( [], 1 ); // $ExpectError + cdf( {}, 2 ); // $ExpectError + cdf( ( x: number ): number => x, 2 ); // $ExpectError + + cdf( 9, true ); // $ExpectError + cdf( 9, false ); // $ExpectError + cdf( 5, '5' ); // $ExpectError + cdf( 8, [] ); // $ExpectError + cdf( 9, {} ); // $ExpectError + cdf( 8, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + cdf(); // $ExpectError + cdf( 1 ); // $ExpectError + cdf( 1, 5, 3 ); // $ExpectError +} + +// Attached to main export is a `factory` method which returns a function... +{ + cdf.factory( 5 ); // $ExpectType Unary +} + +// The `factory` method returns a function which returns a number... +{ + const fcn = cdf.factory( 5 ); + fcn( 1 ); // $ExpectType number +} + +// The compiler throws an error if the function returned by the `factory` method is provided invalid arguments... +{ + const fcn = cdf.factory( 5 ); + fcn( true ); // $ExpectError + fcn( false ); // $ExpectError + fcn( '5' ); // $ExpectError + fcn( [] ); // $ExpectError + fcn( {} ); // $ExpectError + fcn( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments... +{ + const fcn = cdf.factory( 5 ); + fcn(); // $ExpectError + fcn( 2, 0 ); // $ExpectError + fcn( 2, 0, 1 ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided values other than one number... +{ + cdf.factory( true ); // $ExpectError + cdf.factory( false ); // $ExpectError + cdf.factory( '5' ); // $ExpectError + cdf.factory( [] ); // $ExpectError + cdf.factory( {} ); // $ExpectError + cdf.factory( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided an unsupported number of arguments... +{ + cdf.factory( 0, 1 ); // $ExpectError + cdf.factory( 0, 4, 8 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/examples/index.js new file mode 100644 index 000000000000..10bd6063342f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/examples/index.js @@ -0,0 +1,32 @@ +/** +* @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 cdf = require( './../lib' ); + +var x = uniform( 10, 0.0, 1.0 ); +var c = uniform( 10, 0.1, 10.0 ); + +var y; +var i; +for ( i = 0; i < x.length; i++ ) { + y = cdf( x[ i ], c[ i ] ); + console.log( 'x: %d, c: %d, F(x;c): %d', x[ i ].toFixed( 4 ), c[ i ].toFixed( 4 ), y.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/factory.js new file mode 100644 index 000000000000..648fa752d921 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/factory.js @@ -0,0 +1,83 @@ +/** +* @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 constantFunction = require( '@stdlib/utils/constant-function' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var log1p = require( '@stdlib/math/base/special/log1p' ); + + +// MAIN // + +/** +* Returns a function for evaluating the cumulative distribution function (CDF) for a Bradford distribution with shape parameter `c`. +* +* @param {PositiveNumber} c - shape parameter +* @returns {Function} CDF +* +* @example +* var cdf = factory( 5.0 ); +* var y = cdf( 0.5 ); +* // returns ~0.699 +* +* y = cdf( 1.0 ); +* // returns 1.0 +*/ +function factory( c ) { + if ( + isnan( c ) || + c <= 0.0 + ) { + return constantFunction( NaN ); + } + return cdf; + + /** + * Evaluates the cumulative distribution function (CDF) for a Bradford distribution. + * + * @private + * @param {number} x - input value + * @returns {Probability} evaluated CDF + * + * @example + * var y = cdf( 0.5 ); + * // returns + */ + function cdf( x ) { + if ( + isnan( x ) + ) { + return NaN; + } + if ( x <= 0.0 ) { + return 0.0; + } + if ( x >= 1.0 ) { + return 1.0; + } + return log1p( c * x ) / log1p( c ); + } +} + + +// EXPORTS // + +module.exports = factory; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/index.js new file mode 100644 index 000000000000..dfc2916567ef --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/index.js @@ -0,0 +1,54 @@ +/** +* @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'; + +/** +* Bradford distribution cumulative distribution function (CDF). +* +* @module @stdlib/stats/base/dists/bradford/cdf +* +* @example +* var cdf = require( '@stdlib/stats/base/dists/bradford/cdf' ); +* +* var y = cdf( 0.5, 5.0 ); +* // returns ~0.699 +* +* var myPDF = cdf.factory( 5.0 ); +* y = myPDF( 0.5 ); +* // returns ~0.699 +* +* y = myPDF( 1.0 ); +* // returns 1.0 +*/ + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var main = require( './main.js' ); +var factory = require( './factory.js' ); + + +// MAIN // + +setReadOnly( main, 'factory', factory ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/main.js new file mode 100644 index 000000000000..66802a2d1dba --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/lib/main.js @@ -0,0 +1,92 @@ +/** +* @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 log1p = require( '@stdlib/math/base/special/log1p' ); + + +// MAIN // + +/** +* Returns the cumulative distribution function (CDF) for a Bradford distribution with shape parameter `c` at a value `x`. +* +* @param {number} x - input value +* @param {PositiveNumber} c - shape parameter +* @returns {Probability} evaluated CDF +* +* @example +* var v = cdf( 0.1, 0.1 ); +* // returns ~0.104 +* +* @example +* var v = cdf( 0.5, 5.0 ); +* // returns ~0.699 +* +* @example +* var v = cdf( 1.0, 10.0 ); +* // returns 1.0 +* +* @example +* var v = cdf( -1.0, 0.5 ); +* // returns 0.0 +* +* @example +* var v = cdf( 2.0, 0.5 ); +* // returns 1.0 +* +* @example +* var v = cdf( 0.5, 0.0 ); +* // returns NaN +* +* @example +* var v = cdf( 0.5, -5.0 ); +* // returns NaN +* +* @example +* var v = cdf( NaN, 1.0 ); +* // returns NaN +* +* @example +* var v = cdf( 1.0, NaN ); +* // returns NaN +*/ +function cdf( x, c ) { + if ( + isnan( c ) || + isnan( x ) || + c <= 0.0 + ) { + return NaN; + } + if ( x <= 0.0 ) { + return 0.0; + } + if ( x >= 1.0 ) { + return 1.0; + } + return log1p( c * x ) / log1p( c ); +} + + +// EXPORTS // + +module.exports = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/package.json new file mode 100644 index 000000000000..29ea5700bd1d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/package.json @@ -0,0 +1,69 @@ +{ + "name": "@stdlib/stats/base/dists/bradford/cdf", + "version": "0.0.0", + "description": "Bradford distribution cumulative distribution function (CDF).", + "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", + "bradford", + "bradford-distribution", + "parameter", + "shape-parameter", + "continuous", + "skewed", + "cdf", + "cumulative", + "cumulative-distribution", + "cumulative-distribution-function" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/large_c.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/large_c.json new file mode 100644 index 000000000000..3385731f394a --- 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b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/runner.py new file mode 100644 index 000000000000..3d9f15df5dff --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/runner.py @@ -0,0 +1,85 @@ +#!/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 bradford + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(x, c, name): + """Generate fixture data and write to file. + + # Arguments + + * `x`: domain + * `c`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(0, 1, 2001) + python> c = linspace(0.1, 1000, 2001) + python> gen(x, c, './data.json') + ``` + """ + y = bradford.cdf(x, c) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "c": c.tolist(), + "expected": y.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) + + +def main(): + """Generate fixture data.""" + x = np.linspace(0, 1, 1000) + + # Small shape parameter: + c = np.linspace(0.1, 1, 1000) + gen(x, c, "small_c.json") + + # Medium shape parameter: + c = np.linspace(1, 10, 1000) + gen(x, c, "medium_c.json") + + # Large shape parameter: + c = np.linspace(10, 100, 1000) + gen(x, c, "large_c.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/small_c.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/small_c.json new file mode 100644 index 000000000000..999ced99849d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/fixtures/python/small_c.json @@ -0,0 +1 @@ +{"x": [0.0, 0.001001001001001001, 0.002002002002002002, 0.003003003003003003, 0.004004004004004004, 0.005005005005005005, 0.006006006006006006, 0.007007007007007007, 0.008008008008008008, 0.009009009009009009, 0.01001001001001001, 0.011011011011011011, 0.012012012012012012, 0.013013013013013013, 0.014014014014014014, 0.015015015015015015, 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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 PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var cdf = require( './../lib' ); + + +// FIXTURES // + +var smallC = require( './fixtures/python/small_c.json' ); +var mediumC = require( './fixtures/python/medium_c.json' ); +var largeC = require( './fixtures/python/large_c.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( NaN, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `c <= 0`, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( 0.0, 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5, -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 1.0, NINF ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a number greater than or equal to one for `x` and a finite `c`, the function returns `1`', function test( t ) { + var y; + + y = cdf( PINF, 0.5 ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 100.0, 0.5 ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 10.0, 0.5 ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 1.0, 0.5 ); + t.equal( y, 1.0, 'returns 1' ); + + t.end(); +}); + +tape( 'if provided a number less than or equal to zero for `x` and a finite `c`, the function returns `0`', function test( t ) { + var y; + + y = cdf( NINF, 0.5 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( -100.0, 0.5 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( -1.0, 0.5 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( 0.0, 0.5 ); + t.equal( y, 0.0, 'returns 0' ); + + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given small parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var y; + var i; + + expected = smallC.expected; + x = smallC.x; + c = smallC.c; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given medium parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var y; + var i; + + expected = mediumC.expected; + x = mediumC.x; + c = mediumC.c; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given large parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var y; + var i; + + expected = largeC.expected; + x = largeC.x; + c = largeC.c; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 1.9 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/test.factory.js new file mode 100644 index 000000000000..b7ce18e6639e --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/test.factory.js @@ -0,0 +1,211 @@ +/** +* @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 PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var factory = require( './../lib/factory.js' ); + + +// FIXTURES // + +var smallC = require( './fixtures/python/small_c.json' ); +var mediumC = require( './fixtures/python/medium_c.json' ); +var largeC = require( './fixtures/python/large_c.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof factory, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns a function', function test( t ) { + var cdf = factory( 1.0 ); + t.equal( typeof cdf, 'function', 'returns a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) { + var cdf; + var y; + + cdf = factory( 1.0 ); + y = cdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + cdf = factory( NaN ); + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + cdf = factory( NaN ); + y = cdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `c <= 0`, the created function always returns `NaN`', function test( t ) { + var cdf; + var y; + + cdf = factory( -1.0 ); + y = cdf( 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a finite `c`, the function returns a function which returns `1` when provided a number greater than or equal to one for `x`', function test( t ) { + var cdf; + var y; + + cdf = factory( 0.5 ); + y = cdf( PINF ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 100.0 ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 10.0 ); + t.equal( y, 1.0, 'returns 1' ); + + y = cdf( 1.0 ); + t.equal( y, 1.0, 'returns 1' ); + + t.end(); +}); + +tape( 'if provided a finite `c`, the function returns a function which returns `0` when provided a number smaller than or equal to zero for `x`', function test( t ) { + var cdf; + var y; + + cdf = factory( 0.5 ); + y = cdf( NINF ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( -100.0 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( -10.0 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( -1.0 ); + t.equal( y, 0.0, 'returns 0' ); + + y = cdf( 0.0 ); + t.equal( y, 0.0, 'returns 0' ); + + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given small `c`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var i; + var x; + var y; + + expected = smallC.expected; + x = smallC.x; + c = smallC.c; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given a medium `c`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var i; + var x; + var y; + + expected = mediumC.expected; + x = mediumC.x; + c = mediumC.c; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given a large `c`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var i; + var x; + var y; + + expected = largeC.expected; + x = largeC.x; + c = largeC.c; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 1.9 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/test/test.js new file mode 100644 index 000000000000..cef508494ff6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/cdf/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 cdf = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is a factory method for generating `cdf` functions', function test( t ) { + t.equal( typeof cdf.factory, 'function', 'exports a factory method' ); + t.end(); +});