diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/README.md b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/README.md new file mode 100644 index 000000000000..cb22502cd17e --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/README.md @@ -0,0 +1,164 @@ + + +# Quantile Function + +> [Bradford][bradford-distribution] distribution [quantile function][quantile-function]. + +
+ +The [quantile function][quantile-function] for a [Bradford][bradford-distribution] random variable is + + + +```math +Q(p;c)=\frac{(1+c)^p - 1}{c} +``` + + + + + +for `0 <= p <= 1`, where `c` is the shape parameter. + +
+ + + +
+ +## Usage + +```javascript +var quantile = require( '@stdlib/stats/base/dists/bradford/quantile' ); +``` + +#### quantile( p, c ) + +Evaluates the [quantile function][quantile-function] for a [Bradford][bradford-distribution] distribution with shape parameter `c` at a probability `p`. + +```javascript +var y = quantile( 0.1, 0.1 ); +// returns ~0.096 + +y = quantile( 0.5, 5.0 ); +// returns ~0.290 + +y = quantile( 1.0, 10.0 ); +// returns 1.0 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = quantile( NaN, 1.0 ); +// returns NaN + +y = quantile( 0.0, NaN ); +// returns NaN +``` + +If provided a probability `p` outside the interval `[0,1]`, the function returns `NaN`. + +```javascript +var y = quantile( 2.0, 0.5 ); +// returns NaN + +y = quantile( -1.0, 0.5 ); +// returns NaN +``` + +If provided a shape parameter `c <= 0`, the function returns `NaN`. + +```javascript +var y = quantile( 0.5, 0.0 ); +// returns NaN + +y = quantile( 0.5, -10.0 ); +// returns NaN +``` + +#### quantile.factory( c ) + +Returns a function for evaluating the [quantile function][quantile-function] for a [Bradford][bradford-distribution] distribution with shape parameter `c`. + +```javascript +var myquantile = quantile.factory( 5.0 ); +var y = myquantile( 0.4 ); +// returns ~0.210 + +y = myquantile( 0.8 ); +// returns ~0.639 + +y = myquantile( 1.0 ); +// returns 1.0 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var quantile = require( '@stdlib/stats/base/dists/bradford/quantile' ); + +var p = uniform( 10, 0.0, 1.0 ); +var c = uniform( 10, 0.1, 10.0 ); + +var y; +var i; +for ( i = 0; i < p.length; i++ ) { + y = quantile( p[ i ], c[ i ] ); + console.log( 'p: %d, c: %d, Q(p;c): %d', p[ i ].toFixed( 4 ), c[ i ].toFixed( 4 ), y.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[bradford-distribution]: https://en.wikipedia.org/wiki/Bradford%27s_law + +[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/benchmark/benchmark.js new file mode 100644 index 000000000000..ac0978ffc2ff --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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 quantile = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var p; + var c; + var y; + var i; + + p = uniform( 100, 0.0, 1.0 ); + c = uniform( 100, 0.1, 10.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = quantile( p[ i % p.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 myquantile; + var p; + var y; + var i; + + p = uniform( 100, 0.0, 1.0 ); + myquantile = quantile.factory( 5.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = myquantile( p[ i % p.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/quantile/docs/img/equation_bradford_quantile_function.svg b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/img/equation_bradford_quantile_function.svg new file mode 100644 index 000000000000..54ea1aaaeb53 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/img/equation_bradford_quantile_function.svg @@ -0,0 +1,42 @@ + +upper Q left-parenthesis p semicolon c right-parenthesis equals StartFraction left-parenthesis 1 plus c right-parenthesis Superscript p Baseline minus 1 Over c EndFraction + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/repl.txt new file mode 100644 index 000000000000..af591ae4eda7 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/repl.txt @@ -0,0 +1,74 @@ + +{{alias}}( p, c ) + Evaluates the quantile function for a Bradford distribution with shape + parameter `c` at a probability `p`. + + If `p < 0` or `p > 1`, the function returns `NaN`. + + If `c <= 0`, the function returns `NaN`. + + If provided `NaN` as any argument, the function returns `NaN`. + + Parameters + ---------- + p: number + Input probability. + + c: number + Shape parameter. + + Returns + ------- + out: number + Evaluated quantile function. + + Examples + -------- + > var y = {{alias}}( 0.1, 0.1 ) + ~0.096 + > y = {{alias}}( 0.5, 5.0 ) + ~0.290 + > y = {{alias}}( 1.0, 10.0 ) + 1.0 + + > y = {{alias}}( 0.5, 0.0 ) + NaN + + > y = {{alias}}( 2.0, 0.5 ) + NaN + > y = {{alias}}( -1.0, 0.5 ) + NaN + + > y = {{alias}}( NaN, 1.0 ) + NaN + > y = {{alias}}( 1.0, NaN ) + NaN + + +{{alias}}.factory( c ) + Returns a function for evaluating the quantile function of a Bradford + distribution with shape parameter `c`. + + Parameters + ---------- + c: number + Shape parameter. + + Returns + ------- + quantile: Function + Quantile function. + + Examples + -------- + > var myquantile = {{alias}}.factory( 5.0 ); + > var y = myquantile( 0.4 ) + ~0.210 + > y = myquantile( 0.8 ) + ~0.639 + > y = myquantile( 1.0 ) + 1.0 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/types/index.d.ts new file mode 100644 index 000000000000..423f9701a185 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/types/index.d.ts @@ -0,0 +1,132 @@ +/* +* @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 quantile function for a Bradford distribution. +* +* ## Notes +* +* - If `c <= 0`, the function returns `NaN`. +* +* @param c - shape parameter +* @returns evaluated quantile function +*/ +type Unary = ( c: number ) => number; + +/** +* Interface for the quantile function of a Bradford distribution. +*/ +interface Quantile { + /** + * Evaluates the quantile function for a Bradford distribution with shape parameter `c` at a probability `p`. + * + * ## Notes + * + * - If `p < 0` or `p > 1`, the function returns `NaN`. + * - If `c <= 0`, the function returns `NaN`. + * + * @param p - input value + * @param c - shape parameter + * @returns evaluated quantile function + * + * @example + * var y = quantile( 0.1, 0.1 ); + * // returns ~0.096 + * + * @example + * var y = quantile( 0.5, 5.0 ); + * // returns ~0.290 + * + * @example + * var y = quantile( 1.0, 10.0 ); + * // returns 1.0 + * + * @example + * var y = quantile( 0.5, 0.0 ); + * // returns NaN + * + * @example + * var y = quantile( 2.0, 0.5 ); + * // returns NaN + * + * @example + * var y = quantile( -1.0, 0.5 ); + * // returns NaN + * + * @example + * var y = quantile( NaN, 1.0 ); + * // returns NaN + * + * @example + * var y = quantile( 1.0, NaN ); + * // returns NaN + */ + ( p: number, c: number ): number; + + /** + * Returns a function for evaluating the quantile function for a Bradford distribution with shape parameter `c`. + * + * @param c - shape parameter + * @returns quantile function + * + * @example + * var myquantile = quantile.factory( 5.0 ); + * var y = myquantile( 0.4 ); + * // returns ~0.210 + * + * y = myquantile( 0.8 ); + * // returns ~0.639 + * + * y = myquantile( 1.0 ); + * // returns 1.0 + */ + factory( c: number ): Unary; +} + +/** +* Bradford distribution quantile function. +* +* @param p - input value +* @param c - shape parameter +* @returns evaluated quantile function +* +* @example +* var y = quantile( 0.1, 0.1 ); +* // returns ~0.096 +* +* y = quantile( 0.5, 5.0 ); +* // returns ~0.290 +* +* var myquantile = quantile.factory( 5.0 ); +* y = myquantile( 0.4 ); +* // returns ~0.210 +* +* y = myquantile( 0.8 ); +* // returns ~0.639 +* +* y = myquantile( 1.0 ); +* // returns 1.0 +*/ +declare var quantile: Quantile; + + +// EXPORTS // + +export = quantile; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/docs/types/test.ts new file mode 100644 index 000000000000..f54a1238790b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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 quantile = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + quantile( 0.2, 0.2 ); // $ExpectType number + quantile( 0.1, 5.0 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than two numbers... +{ + quantile( true, 0.3 ); // $ExpectError + quantile( false, 0.2 ); // $ExpectError + quantile( '5', 0.1 ); // $ExpectError + quantile( [], 0.1 ); // $ExpectError + quantile( {}, 0.2 ); // $ExpectError + quantile( ( x: number ): number => x, 0.2 ); // $ExpectError + + quantile( 0.9, true ); // $ExpectError + quantile( 0.9, false ); // $ExpectError + quantile( 0.5, '5' ); // $ExpectError + quantile( 0.8, [] ); // $ExpectError + quantile( 0.9, {} ); // $ExpectError + quantile( 0.8, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + quantile(); // $ExpectError + quantile( 0.2 ); // $ExpectError + quantile( 0.2, 0.8, 4 ); // $ExpectError +} + +// Attached to main export is a `factory` method which returns a function... +{ + quantile.factory( 0.3 ); // $ExpectType Unary +} + +// The `factory` method returns a function which returns a number... +{ + const fcn = quantile.factory( 5.0 ); + fcn( 0.2 ); // $ExpectType number +} + +// The compiler throws an error if the function returned by the `factory` method is provided an invalid argument... +{ + const fcn = quantile.factory( 5.0 ); + 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 = quantile.factory( 5.0 ); + fcn(); // $ExpectError + fcn( 0.2, 0.8 ); // $ExpectError + fcn( 0.2, 0.8, 1 ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided a value other than a number... +{ + quantile.factory( true ); // $ExpectError + quantile.factory( false ); // $ExpectError + quantile.factory( '5' ); // $ExpectError + quantile.factory( [] ); // $ExpectError + quantile.factory( {} ); // $ExpectError + quantile.factory( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided an unsupported number of arguments... +{ + quantile.factory( 0.2, 0.2 ); // $ExpectError + quantile.factory( 0.3, 0.4, 8 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/examples/index.js new file mode 100644 index 000000000000..81417abf9283 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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 quantile = require( './../lib' ); + +var p = uniform( 10, 0.0, 1.0 ); +var c = uniform( 10, 0.1, 10.0 ); + +var y; +var i; +for ( i = 0; i < p.length; i++ ) { + y = quantile( p[ i ], c[ i ] ); + console.log( 'p: %d, c: %d, Q(p;c): %d', p[ i ].toFixed( 4 ), c[ i ].toFixed( 4 ), y.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/factory.js new file mode 100644 index 000000000000..07e45fd9bd84 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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 expm1 = require( '@stdlib/math/base/special/expm1' ); +var log1p = require( '@stdlib/math/base/special/log1p' ); + + +// MAIN // + +/** +* Returns a function for evaluating the quantile function for a Bradford distribution with shape parameter `c`. +* +* @param {PositiveNumber} c - shape parameter +* @returns {NonNegativeNumber} quantile function +* +* @example +* var quantile = factory( 5.0 ); +* var y = quantile( 0.4 ); +* // returns ~0.210 +* +* y = quantile( 0.8 ); +* // returns ~0.639 +* +* y = quantile( 1.0 ); +* // returns 1.0 +*/ +function factory( c ) { + if ( + isnan( c ) || + c <= 0.0 + ) { + return constantFunction( NaN ); + } + return quantile; + + /** + * Evaluates the quantile function for a Bradford distribution. + * + * @private + * @param {Probability} p - input value + * @returns {number} evaluated quantile function + * + * @example + * var y = quantile( 0.3 ); + * // returns + */ + function quantile( p ) { + if ( + isnan( p ) || + p < 0.0 || + p > 1.0 + ) { + return NaN; + } + return expm1( p * log1p( c ) ) / c; + } +} + + +// EXPORTS // + +module.exports = factory; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/index.js new file mode 100644 index 000000000000..d75ca19b9d93 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/index.js @@ -0,0 +1,60 @@ +/** +* @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 quantile function. +* +* @module @stdlib/stats/base/dists/bradford/quantile +* +* @example +* var quantile = require( '@stdlib/stats/base/dists/bradford/quantile' ); +* +* var y = quantile( 0.1, 0.1 ); +* // returns ~1.039 +* +* var y = quantile( 0.5, 5.0 ); +* // returns ~0.797 +* +* var myquantile = quantile.factory( 5.0 ); +* y = myquantile( 0.4 ); +* // returns 0 +* +* y = myquantile( 0.8 ); +* // returns 1 +* +* y = myquantile( 1.0 ); +* // returns 1 +*/ + +// 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/quantile/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/main.js new file mode 100644 index 000000000000..74f033d9b3d3 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/lib/main.js @@ -0,0 +1,85 @@ +/** +* @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 expm1 = require( '@stdlib/math/base/special/expm1' ); +var log1p = require( '@stdlib/math/base/special/log1p' ); + + +// MAIN // + +/** +* Evaluates the quantile function for a Bradford distribution with shape parameter `c` at a probability `p`. +* +* @param {Probability} p - input value +* @param {PositiveNumber} c - shape parameter +* @returns {NonNegativeNumber} evaluated quantile function +* +* @example +* var y = quantile( 0.1, 0.1 ); +* // returns ~0.096 +* +* @example +* var y = quantile( 0.5, 5.0 ); +* // returns ~0.290 +* +* @example +* var y = quantile( 1.0, 10.0 ); +* // returns 1.0 +* +* @example +* var y = quantile( 0.5, 0.0 ); +* // returns NaN +* +* @example +* var y = quantile( 2.0, 0.5 ); +* // returns NaN +* +* @example +* var y = quantile( -1.0, 0.5 ); +* // returns NaN +* +* @example +* var y = quantile( NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = quantile( 1.0, NaN ); +* // returns NaN +*/ +function quantile( p, c ) { + if ( + isnan( c ) || + isnan( p ) || + c <= 0.0 || + p < 0.0 || + p > 1.0 + ) { + return NaN; + } + return expm1( p * log1p( c ) ) / c; +} + + +// EXPORTS // + +module.exports = quantile; diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/package.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/package.json new file mode 100644 index 000000000000..5c66b6b3be18 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/package.json @@ -0,0 +1,71 @@ +{ + "name": "@stdlib/stats/base/dists/bradford/quantile", + "version": "0.0.0", + "description": "Bradford distribution quantile function.", + "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", + "probability", + "cdf", + "inverse", + "continuous", + "quantile", + "percentile", + "success probability", + "bradford", + "bradford distribution", + "bradford quantile", + "bradford inverse cdf", + "bradford inverse cumulative distribution function" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/large_c.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/large_c.json new file mode 100644 index 000000000000..caeb90085fa6 --- 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0.9714172710557555, 0.9739780261812706, 0.9765462427075906, 0.9791219449860971, 0.9817051574512078, 0.9842959046206761, 0.9868942110958956, 0.9895001015622011, 0.9921136007891743, 0.9947347336309456, 0.9973635250265029, 1.0]} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/runner.py new file mode 100644 index 000000000000..15c75ff7acb9 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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.ppf(x, c) + + # Store data to be written to file as a dictionary: + data = { + "p": 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.""" + p = np.linspace(0, 1, 1000) + + # Small shape parameter: + c = np.linspace(0.1, 1, 1000) + gen(p, c, "small_c.json") + + # Medium shape parameter: + c = np.linspace(1, 10, 1000) + gen(p, c, "medium_c.json") + + # Large shape parameter: + c = np.linspace(10, 100, 1000) + gen(p, c, "large_c.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/small_c.json b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/small_c.json new file mode 100644 index 000000000000..40ce6e0466bc --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/fixtures/python/small_c.json @@ -0,0 +1 @@ +{"p": 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0.9986130756190689, 1.0]} diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.factory.js new file mode 100644 index 000000000000..4441730808c8 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.factory.js @@ -0,0 +1,188 @@ +/** +* @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 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 quantile = factory( 1.0 ); + t.equal( typeof quantile, 'function', 'returns a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) { + var quantile; + var y; + + quantile = factory( 1.0 ); + y = quantile( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + quantile = factory( NaN ); + y = quantile( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + quantile = factory( NaN ); + y = quantile( 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 quantile; + var y; + + quantile = factory( -1.0 ); + + y = quantile( 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 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 `NaN` when provided a number outside `[0,1]` for `p`', function test( t ) { + var quantile; + var y; + + quantile = factory( 1.0 ); + + y = quantile( -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( -0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 1.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 10.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the created function evaluates the quantile for `p` given small `c`', function test( t ) { + var expected; + var quantile; + var delta; + var tol; + var c; + var i; + var p; + var y; + + expected = smallC.expected; + p = smallC.p; + c = smallC.c; + for ( i = 0; i < expected.length; i++ ) { + quantile = factory( c[i] ); + y = quantile( p[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the quantile for `p` given a medium `c`', function test( t ) { + var expected; + var quantile; + var delta; + var tol; + var c; + var i; + var p; + var y; + + expected = mediumC.expected; + p = mediumC.p; + c = mediumC.c; + for ( i = 0; i < expected.length; i++ ) { + quantile = factory( c[i] ); + y = quantile( p[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the quantile for `p` given a large `c`', function test( t ) { + var expected; + var quantile; + var delta; + var tol; + var c; + var i; + var p; + var y; + + expected = largeC.expected; + p = largeC.p; + c = largeC.c; + for ( i = 0; i < expected.length; i++ ) { + quantile = factory( c[i] ); + y = quantile( p[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 4.8 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ 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/quantile/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.js new file mode 100644 index 000000000000..6ad40b0c38e2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/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 quantile = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof quantile, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is a factory method for generating `quantile` functions', function test( t ) { + t.equal( typeof quantile.factory, 'function', 'exports a factory method' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.quantile.js b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.quantile.js new file mode 100644 index 000000000000..4867f7efe63e --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/quantile/test/test.quantile.js @@ -0,0 +1,165 @@ +/** +* @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 quantile = 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 quantile, '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 = quantile( NaN, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 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 = quantile( 0.0, 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 0.5, -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( 1.0, NINF ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a number outside `[0,1]` for `p` and a valid `c`, the function returns `NaN`', function test( t ) { + var y; + + y = quantile( 2.0, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( -0.5, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( NINF, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = quantile( PINF, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function evaluates the quantile for `p` given small parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var p; + var c; + var y; + var i; + + expected = smallC.expected; + p = smallC.p; + c = smallC.c; + for ( i = 0; i < p.length; i++ ) { + y = quantile( p[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c:'+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the quantile for `p` given medium parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var p; + var c; + var y; + var i; + + expected = mediumC.expected; + p = mediumC.p; + c = mediumC.c; + for ( i = 0; i < p.length; i++ ) { + y = quantile( p[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c:'+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the quantile for `p` given large parameter `c`', function test( t ) { + var expected; + var delta; + var tol; + var p; + var c; + var y; + var i; + + expected = largeC.expected; + p = largeC.p; + c = largeC.c; + for ( i = 0; i < p.length; i++ ) { + y = quantile( p[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'p: '+p[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 4.8 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +});