diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/README.md b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/README.md new file mode 100644 index 000000000000..d5d35e892b8a --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/README.md @@ -0,0 +1,139 @@ + + +# Standard Deviation + +> Planck distribution [standard deviation][standard-deviation]. + + + +
+ +The [standard deviation][standard-deviation] for a Planck random variable is + + + +```math +\sigma = \frac{\sqrt{e^{-\lambda}}}{1 - e^{-\lambda}} +``` + + + +where `λ` is the shape parameter. + +
+ + + + + +
+ +## Usage + +```javascript +var stdev = require( '@stdlib/stats/base/dists/planck/stdev' ); +``` + +#### stdev( lambda ) + +Returns the [standard deviation][standard-deviation] of a Planck distribution with shape parameter `λ`. + +```javascript +var v = stdev( 0.1 ); +// returns ~9.9958 + +v = stdev( 1.5 ); +// returns ~0.6080 +``` + +If provided a success probability `λ` which is nonpositive, the function returns `NaN`. + +```javascript +var v = stdev( NaN ); +// returns NaN + +v = stdev( -1.1 ); +// returns NaN +``` + +
+ + + + + +
+ +
+ + + + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var stdev = require( '@stdlib/stats/base/dists/planck/stdev' ); + +var lambda = uniform( 10, 0.1, 10.0 ); + +var v; +var i; +for ( i = 0; i < lambda.length; i++ ) { + v = stdev( lambda[ i ] ); + console.log( 'λ: %d, SD(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +
+ + + + + +
+ +[standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/benchmark/benchmark.js new file mode 100644 index 000000000000..e3477d4b70f9 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/benchmark/benchmark.js @@ -0,0 +1,52 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 stdev = 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 = stdev( 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/stdev/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/repl.txt new file mode 100644 index 000000000000..65b577ffecee --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/repl.txt @@ -0,0 +1,27 @@ + +{{alias}}( λ ) + Returns the standard deviation of a Planck distribution with shape parameter + `λ`. + + If `λ <= 0`, the function returns `NaN`. + + Parameters + ---------- + λ: number + Shape parameter. + + Returns + ------- + out: number + Standard deviation. + + Examples + -------- + > var v = {{alias}}( 0.1 ) + ~9.9958 + > v = {{alias}}( 1.5 ) + ~0.6080 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/index.d.ts new file mode 100644 index 000000000000..3b12ac1bcdc3 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 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 standard deviation of a Planck distribution. +* +* ## Notes +* +* - If `lambda <= 0`, the function returns `NaN`. +* +* @param lambda - shape parameter +* @returns standard deviation +* +* @example +* var v = stdev( 0.1 ); +* // returns ~9.9958 +* +* @example +* var v = stdev( 1.5 ); +* // returns ~0.6080 +* +* @example +* var v = stdev( -1.1 ); +* // returns NaN +* +* @example +* var v = stdev( NaN ); +* // returns NaN +*/ +declare function stdev( lambda: number ): number; + + +// EXPORTS // + +export = stdev; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/test.ts new file mode 100644 index 000000000000..202d602027a7 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 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 stdev = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + stdev( 0.3 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + stdev( true ); // $ExpectError + stdev( false ); // $ExpectError + stdev( null ); // $ExpectError + stdev( undefined ); // $ExpectError + stdev( '5' ); // $ExpectError + stdev( [] ); // $ExpectError + stdev( {} ); // $ExpectError + stdev( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + stdev(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/examples/index.js new file mode 100644 index 000000000000..5ffc3c9e8abd --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/examples/index.js @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 stdev = require( './../lib' ); + +var lambda = uniform( 10, 0.1, 10.0 ); + +var v; +var i; +for ( i = 0; i < lambda.length; i++ ) { + v = stdev( lambda[ i ] ); + console.log( 'λ: %d, SD(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/index.js new file mode 100644 index 000000000000..6b96474c74ee --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/index.js @@ -0,0 +1,43 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 standard deviation. +* +* @module @stdlib/stats/base/dists/planck/stdev +* +* @example +* var stdev = require( '@stdlib/stats/base/dists/planck/stdev' ); +* +* var v = stdev( 0.1 ); +* // returns ~9.9958 +* +* v = stdev( 1.5 ); +* // returns ~0.6080 +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/main.js new file mode 100644 index 000000000000..bf3d8c7b0a9b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/lib/main.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 abs = require( '@stdlib/math/base/special/abs' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var exp = require( '@stdlib/math/base/special/exp' ); +var expm1 = require( '@stdlib/math/base/special/expm1' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); + + +// MAIN // + +/** +* Returns the standard deviation of a Planck distribution. +* +* @param {PositiveNumber} lambda - shape parameter +* @returns {PositiveNumber} standard deviation +* +* @example +* var v = stdev( 0.1 ); +* // returns ~9.9958 +* +* @example +* var v = stdev( 1.5 ); +* // returns ~0.6080 +* +* @example +* var v = stdev( -1.1 ); +* // returns NaN +* +* @example +* var v = stdev( NaN ); +* // returns NaN +*/ +function stdev( lambda ) { + if ( isnan( lambda ) || lambda <= 0.0 ) { + return NaN; + } + return sqrt( exp( -lambda ) ) / abs( expm1( -lambda ) ); +} + + +// EXPORTS // + +module.exports = stdev; diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/package.json b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/package.json new file mode 100644 index 000000000000..21f31795510e --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/package.json @@ -0,0 +1,71 @@ +{ + "name": "@stdlib/stats/base/dists/planck/stdev", + "version": "0.0.0", + "description": "Planck distribution standard deviation.", + "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", + "standard", + "deviation", + "stdev", + "std", + "spread", + "dispersion", + "univariate" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/data.json b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/data.json new file mode 100644 index 000000000000..5a9b95dc99d1 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/data.json @@ -0,0 +1 @@ +{"lambda": [17.08069099909139, 6.928308839829511, 15.062550557652575, 12.09733462832786, 15.845509363909988, 15.280369189460174, 9.07221863100755, 8.727254597028436, 5.227977668521257, 16.651695420483122, 17.688343903775685, 1.6604634797423024, 2.3379574936894176, 11.010039893095431, 13.607764061782198, 0.043693523019450176, 17.268234592111273, 18.38130075814376, 16.32440485151317, 13.983852989907593, 3.0241592072330103, 13.237048828896135, 4.520350060494948, 15.493919348415087, 19.45052550342193, 9.198474851598643, 3.8654537140546563, 5.695052508374827, 0.5593752106517691, 18.696191581571277, 6.940447767695179, 1.490476370131204, 11.799187426334079, 7.1145773491433655, 14.012845294138792, 12.909563807075404, 12.102614522430631, 8.986208907754914, 0.7041841298211615, 10.421166132826041, 19.874871404632582, 19.963048587029427, 14.320667446482268, 14.419146515953571, 2.4805388437902076, 17.751621918135626, 10.63719034521138, 9.671743523218323, 8.687107882712713, 14.259572140705236, 13.206592945010886, 7.914216848249847, 8.480507038373394, 10.216157813934192, 9.983530647244887, 8.694888172829003, 9.99402534500815, 3.4032695138569014, 14.349460898094126, 19.04279860765672, 7.62014985918074, 19.349852518137897, 3.6110551545940295, 11.599861881570945, 11.08857388233888, 11.672782489314743, 12.123965337277099, 13.296227126145673, 14.448414743269568, 13.540479277163154, 19.44694236541396, 19.411832999735548, 16.944456394040333, 0.9075070020384857, 2.677901679481718, 9.546147787224783, 11.319154053332792, 10.323936566832048, 13.3691975750686, 7.218231652733036, 15.393026226959476, 9.274157106165191, 17.23109552103031, 6.296172335360282, 8.98129681386804, 0.7881515403880712, 12.900891310270271, 3.4293826807567096, 8.396599187600986, 2.862130515773438, 6.862424327721646, 19.700770218370124, 7.9353796484709775, 11.21868646607483, 19.24492193038575, 1.3154802233303253, 15.002605244607752, 7.189410992729055, 9.847033908356938, 15.531371783660815, 19.140817268802145, 8.141603961354594, 15.370698788506495, 3.7922575951847937, 7.070780860744376, 2.7923848846610078, 9.972042452272392, 19.668685268181278, 16.456864497213296, 6.200150381930274, 19.80033777969691, 6.341565247899748, 4.5651318884667935, 19.063603490726983, 18.945966600416234, 16.77315402455185, 4.838901336630068, 18.181611129931518, 9.415649270930988, 13.184980885693204, 4.281057624203561, 9.387051761762873, 8.453282061137475, 17.647721830934756, 7.7645678191189305, 3.0772490892036153, 9.48570350167257, 1.5695286043787982, 1.1908699848345128, 13.624123555880956, 19.804526700834472, 14.437881505494655, 5.8661955753295185, 10.764598430352931, 11.821059416157143, 16.961706393853326, 19.51027210090784, 4.8387639780132226, 7.801549211450349, 5.862113987115749, 9.377735572017219, 2.703844918068905, 4.573509046063271, 6.912853859660483, 8.472300042427857, 2.1120083969730086, 4.485939193419961, 10.416381525289678, 18.39931238429166, 7.223364794836284, 5.381753076287124, 2.4751713786454266, 8.892107648365368, 18.179730460914456, 7.399591927788394, 15.708640188026886, 3.675856787667764, 5.182754603784121, 17.70658165139348, 3.0803128634777255, 1.1774945811026494, 0.38370195152455766, 6.938645428568897, 0.5165469311888704, 13.329136969093, 7.476027459918699, 18.84313970205105, 10.21020492360638, 3.8037093591603544, 1.716962377082345, 17.903926987160332, 8.979405063226771, 0.45379179549120296, 16.878122961193103, 15.828819264698522, 12.268312901894127, 10.1590551637708, 11.239299256740217, 2.420841073077069, 13.336761658512067, 11.588617593378352, 2.3706151843026135, 8.281094504186717, 8.66585218578652, 0.3774279350396825, 13.848539476926806, 16.117852111298344, 8.295487456520137, 0.4293660846485503, 11.088633878667281, 0.0927039237039029, 6.955734767695729, 19.624953301807015, 18.220688257499912, 0.7489117385700705, 11.10422983028873, 16.488772251681944, 11.369062404007495, 0.039804229923123824, 6.099605784485274, 2.53290986813971, 3.035642199285551, 14.906055870986501, 6.568125199344006, 4.939885962555266, 17.031878176320614, 0.46174284894253237, 8.276464579597489, 18.587921349187567, 5.510843677036492, 6.155473735992015, 7.658360768780479, 11.532130318790951, 7.437938038035048, 18.030058504253606, 2.3807140656586223, 3.5004808919464225, 15.574957679012854, 3.2580728193963027, 4.1916450437483155, 1.123748148935011, 8.135113990926781, 7.176129530887401, 17.415240803965215, 15.693698585629836, 18.76933183643088, 18.179157611048034, 12.425823506554332, 14.503036827786449, 0.39969956303953724, 19.227600780571944, 10.154705465711892, 9.624297025918933, 0.34627809708523305, 4.684161948920245, 8.251521460129075, 16.852462771647723, 7.394824656257432, 16.800709919685616, 12.285579494636083, 5.599363537752535, 5.79718264189103, 18.84125411809581, 15.401600993763855, 9.435743830885368, 19.751962375934678, 15.488839849959763, 2.299345216743147, 12.047798905258029, 12.40073772979744, 15.806642228771793, 15.035073882389673, 2.150185499778663, 15.056406241059445, 19.95167321049677, 9.549642120861195, 18.27375586790732, 6.870515740915783, 0.23908649977994134, 12.027031868700188, 13.355699251494686, 4.222998904177846, 9.843848149795493, 5.3535965911868555, 0.09428549466297786, 7.472695723954617, 9.146313457656436, 4.798159749873106, 13.253162965939369, 9.815967185051594, 11.922840137952239, 4.567182000249672, 8.255871384333942, 15.077225768286285, 9.49110896061413, 15.322876319906651, 7.143996659691765, 17.09047625845187, 10.112547800285023, 17.248223332151213, 6.923133581416387, 3.8557244004220625, 0.05985208192311742, 11.544365405241656, 8.644442907607088, 1.62261935966461, 11.199140281887933, 17.2461019255173, 13.614811067847722, 12.84673470307252, 9.592420920101063, 1.9994558912855576, 1.37954263874412, 18.93141735293787, 0.7525759645023156, 8.123302738101534, 6.308491373072343, 0.5315365077150958, 19.46673468324429, 16.002515513185575, 10.290597316989128, 7.412977807295816, 17.08691030208227, 17.912611410557954, 9.134574568582385, 5.446474882992714, 13.929996316928532, 5.133128009235275, 10.625393003959259, 14.407425280518652, 19.41502468229193, 18.52892290014854, 1.2204912324288664, 0.6018404097609142, 14.497760777073651, 12.239655405920635, 17.60768785911089, 3.9341857424812576, 19.289699725969612, 9.985237097334831, 12.819208820797446, 18.701865138970195, 0.8799771217187979, 4.097422117216219, 4.045895629477718, 19.527521260296467, 13.924684740641096, 16.598474787289035, 7.093848647479701, 14.679265707689176, 12.455405926625254, 13.215072398521631, 19.58266357789875, 11.402332014114311, 4.091862967823601, 3.3177481650852347, 1.9953829504069498, 15.9971851949479, 11.533664756963155, 6.379251302905626, 10.798931608586457, 0.18192061321126163, 12.70555519040353, 8.257145800423583, 1.2752495253727214, 6.407860271348495, 0.05605590789991233, 7.703264719875646, 9.726641851992866, 19.43760559703493, 18.47046821009539, 14.188954637277174, 10.059068326653124, 16.010099938847432, 12.095577712158745, 11.021068023695326, 16.9331772107629, 6.165072481169426, 5.8899134835361195, 7.5572217433557, 14.604406220544364, 15.777189173923201, 11.650167448715987, 2.706270049839359, 7.458064658349411, 3.875467345328154, 8.373120895764156, 9.283749155563111, 8.736742740413368, 6.928235132867915, 16.227973222559363, 1.5263768011864376, 3.8573694288915505, 11.012039434497702, 13.332731457148423, 5.653706235212319, 12.174716534803423, 0.6534715201301111, 2.280613572308303, 13.596345921043334, 2.4255136642411435, 2.082915334782358, 3.712493044070142, 7.253155123764293, 6.224865256462017, 5.948542087275445, 3.9033983814674467, 0.8405407138416354, 15.125621888358424, 11.292100275552851, 13.376121635891618, 4.131718000613818, 11.063635914318716, 18.985229563476164, 16.427808916987715, 18.72040235939432, 16.398309791315018, 16.786016100975964, 4.450322018914159, 4.684085760980057, 8.103512341145846, 9.760018828019042, 11.583122397909317, 8.872632937606078, 17.82705664425072, 9.319741279452451, 9.001166962336862, 18.48399940242151, 4.351976420369574, 2.0784527955961885, 14.364735649401812, 18.067534301845164, 3.607008880848852, 12.075530673699262, 6.3921404789808145, 5.2316271877509894, 18.962301662931903, 8.64341980179882, 6.024752488561931, 5.856291245545795, 7.41637425061686, 19.489947696433035, 12.690875097137678, 19.789604417955154, 11.696328738700227, 12.327654218994645, 3.5135829190197465, 8.027329639951429, 0.5886949569051203, 1.0756171929548408, 18.923002587185653, 0.1653414120470842, 1.4816396455978742, 7.3926957110633325, 2.2739896630907697, 1.3060841527871703, 0.08197065844677498, 6.635289695787137, 7.410747681947509, 15.594457722536081, 12.428887156727848, 4.489749717441729, 18.740706018557052, 16.788698321696167, 8.069382245150464, 19.646811939997455, 16.22285866398213, 1.030078655736768, 13.724565630381289, 8.621444496787289, 10.91206045436972, 1.7543930069289737, 18.14959607801284, 12.465997999844676, 0.11135343560444655, 2.6251891382213133, 15.253943899139744, 16.629522186204863, 2.860815599801443, 13.478769764206547, 16.26961144804685, 3.173791208626464, 2.841241736801403, 8.517078658807831, 6.357325130673834, 7.6539354084389055, 16.24549044015802, 3.4345390219669647, 16.17667040847482, 1.595934489136508, 18.80207590758485, 14.21541475894762, 16.783257326413338, 12.562821687180518, 17.44534274594941, 15.429151268699314, 6.760281343038248, 0.7652376295034191, 1.8563939122584827, 0.6974997379717007, 18.071738817953978, 7.289251858508667, 2.323085881916418, 15.987043430289232, 19.891546362762284, 1.6324648080362358, 9.702612222889506, 13.461879954848763, 9.739132340071777, 16.53096204218131, 6.378777369040072, 19.86164222639725, 14.360872659180803, 3.4049675404644453, 18.42463589202559, 7.228400395130161, 10.778468798604376, 10.663385642027077, 10.655510871519635, 3.1007521456520815, 3.970315124725632, 2.243224022720298, 6.998809192282454, 17.778228635023577, 18.165114693891464, 0.14294547416614956, 8.033795211888977, 16.52543643302195, 8.047374367434303, 19.475635543130927, 8.585119962357776, 11.325635395257823, 3.194252049557782, 10.46218247633375, 17.458755815775454, 1.3527121566644262, 10.146023870510813, 10.236784606958844, 8.206030727047718, 8.065084662855659, 13.66790752272851, 5.95159554117493, 19.93069081938507, 11.912906458718107, 19.058356236604673, 7.4536873063067315, 11.647045541700678, 3.270011404927835, 12.093170035882894, 5.744017570284874, 1.0951513458531559, 3.2415493883732904, 9.4722117807903, 2.2464181911502634, 3.251395342554335, 6.666171208280749, 11.862115742066896, 12.710603418126876, 13.051291632926947, 4.260557689717805, 0.7373462304699285, 13.5146846496243, 8.93484321166828, 10.274259969608057, 8.111562041473137, 6.570920799627105, 12.915787382659351, 5.8678289522800124, 6.416485601016038, 15.362849608608599, 5.880421874348882, 8.882917286773932, 13.585384089766535, 12.321996119980646, 1.9694216602463444, 17.051546750734264, 2.116638797135284, 19.558451238002206, 18.49003207082841, 4.469287981932688, 0.4618950063316607, 1.1322667291547095, 14.127738334104343, 1.2588052599709343, 9.7868959909502, 18.64852533675911, 4.0513067959854006, 15.461654839752947, 2.560381368289213, 11.170442484116593, 18.437471730299112, 19.251268126155644, 17.75207279663477, 8.4251149746297, 0.5664486930801549, 10.819541510273712, 19.79776029312148, 2.4537596026720743, 19.054404493198376, 5.495226812436266, 4.390073551920663, 0.5395805074332571, 2.3703850393372217, 9.530367367260402, 2.2174825525921493, 4.445188788217635, 8.0860195459523, 7.312649155043152, 1.0212795152914755, 3.685052706234284, 13.884415933486453, 16.864688187478126, 15.813519199794996, 2.9572048763448056, 2.1239091981845792, 0.785859611385582, 0.7697806609898694, 19.10181817481082, 15.18965220150629, 12.287472425222848, 0.5954477503232014, 2.9733162928199697, 6.848442276782787, 10.73809108854457, 9.861410310418277, 5.699582168951176, 6.4093304519288985, 17.80772905140744, 15.105385383173743, 18.77256175629689, 2.0291689842656524, 10.778200621948976, 7.210113587277053, 16.163516304510782, 10.809882705592514, 3.856847577881346, 14.866231069066684, 8.107148383717176, 14.730672669802152, 18.367341057018972, 4.919942236543752, 2.913724073063606, 8.649920714337993, 17.81545330524635, 19.246674124923913, 6.625332307974741, 0.47224050418168684, 15.04524342100471, 1.155201448381451, 12.731920941673815, 7.342792814200143, 5.510950393430822, 19.938833055413706, 15.799701485834568, 10.751532559341527, 8.704250014093901, 18.190745951540105, 16.849406833401783, 0.09088213386089672, 8.263957210706172, 12.67104572102358, 0.12417232882588225, 7.319481810135581, 16.49453173117199, 7.700133820331394, 17.73049072058344, 16.357595706949187, 13.326442078523765, 8.34234446283151, 11.909396212755789, 12.318687741160964, 14.63020148469393, 1.9800805756295348, 10.568831492680575, 14.4347334549075, 19.310487170429937, 13.701686011097108, 18.35921178845081, 8.271436815894802, 7.29618910667358, 6.151618988918748, 7.048613676728676, 6.570741656220851, 4.274211811445987, 2.470973705570547, 19.652890191761678, 12.196067212010526, 11.120648962640015, 4.443705211461976, 15.543892832931148, 11.689213523905664, 5.996592722480392, 13.766947135359613, 14.12385100721242, 15.776819375040388, 13.58981057461027, 5.0593214497369265, 2.341767133541064, 16.137751185512702, 0.7623010583759027, 16.47984379351566, 14.613453680289414, 0.6796911213764867, 8.823336662846641, 9.530979706964661, 4.0273150271153995, 5.59153004698282, 4.3941453508458945, 15.640569592168198, 6.629062005313613, 11.650671776947606, 10.539288382796778, 12.523972397569533, 7.858182408063595, 13.17787254489875, 1.3066673442027232, 0.2756239982285158, 7.063183835482054, 19.57745227735098, 16.53825333015049, 8.13175733384281, 17.9397318753764, 12.190338094012345, 4.843439752959123, 5.479260603829921, 19.490988294976678, 11.195369000658244, 0.4421956200602861, 11.143015618264794, 6.568794812888461, 15.442836289500775, 3.66631778612845, 9.747372271707759, 19.004146849340724, 4.979276173998484, 2.9616900759982623, 10.132362922297805, 2.236332429219361, 10.215089703861338, 2.7212211837946287, 10.216082127039513, 1.617223522906599, 14.955799519603993, 12.464999989778923, 8.37902534216891, 14.817966374103404, 0.4339727276985772, 2.4850726397847533, 6.69548483827636, 16.551158167446594, 5.477778689948627, 7.325028500786952, 2.907438995939291, 5.207911441019066, 2.754505091024433, 8.138008312754895, 0.27545333638035796, 7.399211993209951, 12.142887927256057, 5.385266745990647, 3.4325166228837056, 17.594610350261693, 18.726232226297366, 6.892626735459368, 10.057954425881256, 17.321120553718696, 5.216651624189845, 2.5166083856643895, 12.203060946578987, 0.8327190465009382, 10.798020170586785, 16.32671447275962, 12.836354717428682, 7.116132118800773, 18.174441843284992, 12.623125262762368, 1.2694326677706846, 18.695585238568214, 6.179645703968397, 15.854015049825454, 9.546273842000321, 17.035469444221818, 10.566400089715362, 19.064071457449863, 17.001409843248105, 2.526101939886134, 6.360376759842088, 6.462245370428279, 15.617984486102651, 1.455496283702442, 2.0177046460455217, 16.01455537775039, 1.6888379724774394, 11.18562749357536, 13.405977490679732, 1.048568270616952, 9.795631808260044, 2.035828562937818, 4.629627680755295, 14.64822801685234, 9.432203905409157, 17.77022380907343, 1.3875142959318953, 19.51725015880815, 19.567094336197158, 18.467565644148817, 16.361614217875328, 8.272087974820375, 18.248446999238332, 2.078530247704986, 13.944102326054285, 5.207994716078364, 19.91757258021938, 7.3328259863956085, 1.2236183734036943, 7.78418730798858, 10.150248067294116, 8.75393338275673, 14.79412863575233, 15.016601248984596, 9.802029537484247, 7.418226001179473, 1.9070384689796693, 4.777334515267531, 18.796108727335113, 3.6556486194907767, 15.011356785670731, 0.9620093572129873, 19.67218207457265, 19.044041269373665, 3.6828524035580323, 19.234431465635957, 18.56842222462683, 14.112871726597863, 13.33002843908554, 1.8869180339362224, 11.031264500239516, 10.648035503124348, 14.386266413060822, 2.5086550524847917, 13.005481455016902, 16.16610066602539, 1.9376384658404477, 3.343384377569014, 5.782458535940618, 6.638274318691937, 0.7524805526688505, 19.624271208832262, 11.17745086156383, 1.94004725005692, 8.637225768163468, 16.203939632463843, 19.242441664983453, 7.7852876416096795, 13.898506879241445, 7.616110869315788, 0.40466212687090497, 5.008181482678989, 17.815433224943263, 0.4625244314516097, 2.2692825356682977, 18.608040613667665, 3.7607845385539274, 1.4601191979694939, 12.751363720284923, 13.361910240758325, 8.299536530017699, 15.276739500133733, 19.013297149325183, 5.844054878438976, 4.202996856066823, 15.76980302934115, 13.446166040923993, 13.449801441831674, 16.579938714632576, 10.650730099152689, 10.086243759997089, 4.405860723872486, 15.506919979888016, 12.458909677827277, 10.245888381182919, 10.561413278969914, 12.061834091921684, 11.01373470091578, 17.949966190439667, 4.923859922215554, 4.019210037621395, 4.771532077232655, 0.18614711420510632, 0.4428365248721944, 2.9498778768134604, 9.114992957274026, 18.46701467723509, 0.6419335986944708, 12.832909752707035, 19.945199059716206, 11.923095915574063, 0.8470864484898333, 16.679811276555224, 19.067599728600893, 10.86529874926402, 8.705601372821974, 11.446566283849355, 18.82083116200413, 1.3725246446028883, 9.216035830981987, 11.993296187090932, 0.5002908886877488, 5.673607684304322, 18.50275908121343, 3.72858475555347, 11.999337140852846, 16.178502034174965, 18.91048936606655, 18.30324236854122, 15.848977227404548, 13.769512621176895, 16.31207443800545, 16.510092844128465, 18.506965089504487, 7.057842871915709, 0.8363086206638992, 6.89340135468653, 2.9227685538594628, 7.547702155057728, 14.17273694599718, 13.766765770149938, 17.94187063902524, 4.66247656808026, 14.960264419711699, 4.70882250693994, 18.50738347145809, 0.04596740907266028, 3.748281106388358, 19.04546282985428, 2.3393121248559257, 6.546122532232852, 2.0003122534674445, 19.68818278051105, 18.917369184132248, 17.07402105740049, 8.749421772658339, 4.844401721509433, 14.182083453868476, 8.00546598026253, 17.7548080198968, 3.7165499056985074, 16.675298864507372, 0.731279199338486, 12.01682003160963, 9.442424307300204, 0.5196183705544777, 10.455506018461664, 3.851180145155728, 1.1361937313882309, 3.111675716875717, 17.83854996490011, 11.764552839420508, 5.752938097167613, 15.712660346012381, 1.01594823024177, 1.3473058000524385, 5.990050462852499, 18.532442084705707, 1.108964359622866, 11.118966128252811, 10.521472094091354, 7.0825566278051095, 17.81693485881515, 14.783927728462082, 19.77817692285058, 19.13757837873879, 0.9168686709421059, 15.059139104481735, 1.220584805320546, 2.1372245557526215, 19.40738604235431, 0.2873455590990015, 14.016470998958868, 2.480784189168872, 13.629851950320713, 15.098471077068709, 0.36690606894167255, 5.4429379543790635, 15.29375404002612, 2.4971386185244904, 18.340769517158744, 2.1994153028073327, 3.769072248438463, 17.01053805318559, 0.6557076395479888, 3.5711857884082177, 11.106741284068686, 10.223090353128727, 16.81916934197681, 6.17841451416123, 19.080407989347695, 1.4956441768365591, 15.724671082614075, 15.576631173924698, 2.550137945802242, 7.975961714338746, 5.9255812386129865, 2.678917092123416, 0.7952736990207065, 13.677445152294037, 5.640708658195144, 5.903500173980671, 4.712744633247501, 12.705373973604196, 4.169734491451102, 19.936221371397497, 16.334511931294625, 0.8749567366971078, 17.759775443771186, 19.174996107283178, 14.64414273439315, 7.003067924776389, 9.45824823126107, 19.89466784606108], "expected": [0.00019542273748059517, 0.031330153219862544, 0.0005360543560617879, 0.0023610195517144794, 0.0003624026937930457, 0.0004807398129558128, 0.010716244648202413, 0.012734184885122282, 0.0736368255271825, 0.00024217555725966738, 0.000144219814733257, 0.5382415197987652, 0.3438766153930654, 0.0040663747081971235, 0.001109461185489791, 22.88486687495171, 0.0001779305478560624, 0.00010198851299986561, 0.0002852335201070167, 0.000919274625101258, 0.23171194125588424, 0.0013354023708541179, 0.10548039841522132, 0.00043205421170446344, 5.9754697670646424e-05, 0.010060521999288844, 0.14785092071781694, 0.058183234807851494, 1.7646124916917791, 8.713117787724366e-05, 0.03114020345444216, 0.6126242328174173, 0.0027405786288070733, 0.028539243342781784, 0.0009060447808524926, 0.0015729861979996496, 0.002354794736102401, 0.011187263642869105, 1.3911610024208947, 0.005458652738548522, 4.833108125698725e-05, 4.624652225239175e-05, 0.0007767957440464993, 0.0007394730565543959, 0.31573247438853685, 0.0001397282714567062, 0.00489974965531143, 0.007940264278953548, 0.012992471823495694, 0.0008008912171450103, 0.0013558934977058548, 0.019125306996690065, 0.014406928760741216, 0.00604791114561615, 0.00679397445810497, 0.012942010476568922, 0.006758414218755681, 0.18866080071236943, 0.0007656925322276181, 7.326707008888533e-05, 0.02215738696169063, 6.283952803923209e-05, 0.16895338760064083, 0.003027791589984932, 0.00390978984284124, 0.002919383771985309, 0.0023297897750806556, 0.0012964676796132864, 0.0007287303092313128, 0.001147421162597109, 5.9861848290806795e-05, 6.09219819901808e-05, 0.0002091982578978619, 1.0649960613403175, 0.28145876691034893, 0.008454956724446253, 0.0034840325114008593, 0.005730597687197928, 0.0012500181284755632, 0.027095639722929016, 0.0004544089897408878, 0.009686862131222475, 0.00018126550416666464, 0.04301350599835846, 0.01121478076753895, 1.23653727712943, 0.0015798219008034272, 0.18604854072186502, 0.015024487108998627, 0.25354334277498963, 0.032381589534514414, 5.272688364452649e-05, 0.01892385650191321, 0.0036635237852160434, 6.622444119573754e-05, 0.7080126338245126, 0.0005523645476812901, 0.027489513394452776, 0.007273890043530907, 0.00042403875143208014, 6.976287060139497e-05, 0.017068668142934826, 0.00045951030810896136, 0.15361187745715102, 0.02917215852199097, 0.26369560956513655, 0.006833115651191472, 5.357957471729301e-05, 0.0002669545397038484, 0.04513740468537119, 5.0166208903522804e-05, 0.04204480146040607, 0.10309515414754793, 7.250886410166619e-05, 7.690164469007017e-05, 0.0002279060762090199, 0.08968036533514938, 0.00011269724842403474, 0.009025122580054216, 0.00137062482805873, 0.1192415173836539, 0.009155119250574446, 0.014604467435988009, 0.0001471790192929018, 0.02061246464370848, 0.22504769252314266, 0.00871442292654961, 0.5761486991985029, 0.792081040706361, 0.0011004230667188341, 5.006124771346886e-05, 0.0007325783824232713, 0.05338314966651638, 0.004597336888861188, 0.0027107705197211684, 0.00020740168165945194, 5.799602715506431e-05, 0.08968662303284966, 0.020234515971192687, 0.05349282663486015, 0.009197871357297854, 0.27730743006385733, 0.10265522781598257, 0.03157367673735681, 0.014466193765300426, 0.3957233877391356, 0.10735229782709739, 0.0054717279087133025, 0.00010107414698190435, 0.027026084489918202, 0.06813486864862363, 0.3167366618723947, 0.011726355717381953, 0.00011280327137914933, 0.02474370230663332, 0.00038807189333160973, 0.16328233971246148, 0.07533963151630435, 0.00014291067042057713, 0.22467000441717014, 0.8021125552378384, 2.5902703132563483, 0.03116833317718268, 1.9145760530376903, 0.0012753088962607771, 0.023814823262458602, 8.095882673245129e-05, 0.006065940562691839, 0.15269472599997505, 0.5165905780411889, 0.00012948267406046211, 0.011225396243323402, 2.184858728489038, 0.000216253022833065, 0.00036543961706787033, 0.002167563067926032, 0.006223089089715663, 0.00362595897421251, 0.3271369977625989, 0.0012704562193283082, 0.0030448625280218087, 0.3371497715394383, 0.01591817150838231, 0.013131337821155442, 2.6338513472684135, 0.0009836221083009548, 0.0003162663069970679, 0.015803970764880108, 2.311220357306696, 0.003909672554497196, 10.783168238576588, 0.03090263647288617, 5.476404744143619e-05, 0.00011051667797047627, 1.3045692023583173, 0.0038793026670176454, 0.0002627293726732216, 0.003398165150398186, 25.12129965295385, 0.04747478176227242, 0.3061453318583874, 0.2302510953231747, 0.0005796839020464564, 0.03752840430577916, 0.08519931848241012, 0.00020025098602460725, 2.146587291850176, 0.015955082917940393, 9.197804358033043e-05, 0.06384027938490106, 0.04616133305662621, 0.021737678400455873, 0.0031320881710815455, 0.024273250234316594, 0.00012156891706519228, 0.33510465786786464, 0.17913909643438664, 0.00041489766132277097, 0.2039633929042524, 0.12485706963235137, 0.8447252350762561, 0.017124178155858545, 0.02767295071396395, 0.0001653211892616746, 0.0003909819589062904, 8.400233926137244e-05, 0.00011283558567703211, 0.002003403610353045, 0.00070909722499902, 2.4853022711262174, 6.680047372042648e-05, 0.006236639149974501, 0.008130910185000359, 2.873474349915692, 0.09702393861613944, 0.016155417531959204, 0.00021904544509129947, 0.024802825151792388, 0.00022478753083176142, 0.0021489302271274703, 0.0610553354113357, 0.055268585490815876, 8.103519005752291e-05, 0.0004524649338155211, 0.008934884181039443, 5.139440799331831e-05, 0.00043315291609241006, 0.35206077654220874, 0.002420227838323358, 0.0020286905377963718, 0.0003695143515592893, 0.000543469676571792, 0.3862497307944805, 0.0005377037331264607, 4.651030750853675e-05, 0.008440195297356425, 0.00010762281231221984, 0.03225057553652242, 4.172641287316819, 0.0024454895430649094, 0.0012584832638457405, 0.12285673217639247, 0.0072854869349758145, 0.06910999149254493, 10.60215776725414, 0.023854573801558896, 0.010326414922393175, 0.09155633693813733, 0.0013246861332363161, 0.007387772444484551, 0.0025762680180316986, 0.10298731155221798, 0.016120300037492083, 0.0005321353940144081, 0.00869089844086419, 0.00047063018676293496, 0.02812184991095714, 0.00019446894151039422, 0.0063695062001534, 0.00017971979152238876, 0.0314114888453363, 0.1486030109168447, 16.705362990661982, 0.003112985603779086, 0.013272708618318488, 0.5535326614630538, 0.0036995042496381788, 0.00017991052205008234, 0.0011055588650213384, 0.0016231854767054937, 0.008261556972818964, 0.4256110838730747, 0.6704350127731573, 7.746311499331363e-05, 1.2979225571851105, 0.01722566635568764, 0.042748411214548795, 1.8593721202388112, 5.9272367531459244e-05, 0.00033504100041142345, 0.005826931729700043, 0.0245784471975052, 0.00019481598471031365, 0.00012892165177988475, 0.010387216542696925, 0.0659461589155352, 0.0009443655169153251, 0.07725462766883893, 0.004928738478422851, 0.0007438195543730402, 6.0824837709894487e-05, 9.473174086699522e-05, 0.770614280070028, 1.6367557833835102, 0.0007109703128877514, 0.0021988454142720998, 0.0001501547833335609, 0.142653396815365, 6.47582236811127e-05, 0.006788179607021695, 0.0016456798422985646, 8.688435625872156e-05, 1.100539004945264, 0.13107887723255474, 0.13462004416093273, 5.7497986576080286e-05, 0.000946876889510482, 0.00024870643528660316, 0.02883706376757193, 0.0006492891348224648, 0.0019739886915130533, 0.0013501570278882933, 5.593435506447903e-05, 0.003342103641108897, 0.13145610944528213, 0.1975098181198154, 0.4267514863574029, 0.00033593512915856334, 0.0031296860477605785, 0.04125727498890943, 0.004519086610980744, 5.489330479888116, 0.001741907397005662, 0.016110025994169844, 0.7334414900828211, 0.04066936278402449, 17.8369974148537, 0.021254621884623643, 0.0077252487824466315, 6.014195972410846e-05, 9.754135700045172e-05, 0.0008296748920110916, 0.006542137274529408, 0.0003337728593972104, 0.002363094542844073, 0.004044013424564185, 0.00021038138378573734, 0.04593938526077201, 0.05275030683575625, 0.022866360760288196, 0.0006740524332584253, 0.0003749962821388469, 0.0029525826805030593, 0.2769232523735796, 0.02402992401238809, 0.1470811447974009, 0.015201982565752137, 0.009640506296318702, 0.012673896667306946, 0.03133131013099591, 0.00029932323299278055, 0.5956184797903545, 0.14847555787863398, 0.004062311163305294, 0.001273018905980039, 0.059407044920699474, 0.002271413150042129, 1.5033959385456674, 0.3561244885452622, 0.0011158133083020542, 0.3262253111367511, 0.4031600911897213, 0.16016881616326858, 0.02662593937341303, 0.04458084146912164, 0.05121832042143108, 0.14495677363801127, 1.1553963258796263, 0.0005194132886795464, 0.0035314819981210844, 0.0012456979967743812, 0.12877694936087464, 0.003958847683593487, 7.540667371547358e-05, 0.0002708611079845991, 8.608277950470901e-05, 0.0002748857997743899, 0.00022644510618564714, 0.10932638458344285, 0.09702770366201709, 0.017397067004270027, 0.007597380981268735, 0.0030532402451995473, 0.011841129158661288, 0.00013455624013928682, 0.00946853579716257, 0.011103885268741582, 9.688365892589245e-05, 0.1149769968552424, 0.40431796200941467, 0.000759866918462105, 0.00011931218021800675, 0.1693146156647116, 0.002386900445129923, 0.04099135173189938, 0.07350113446216827, 7.627610612622773e-05, 0.013279502442134744, 0.04929388876194084, 0.0536496849627155, 0.02453669273917104, 5.858839932101592e-05, 0.0017547401960353037, 5.0436158657759425e-05, 0.002885214461648813, 0.002104194212819636, 0.17789732233729608, 0.018072960585372853, 1.6743893500641263, 0.8863489462182716, 7.778971857215863e-05, 6.041207831418729, 0.6169291828981087, 0.02482927366970785, 0.3575764918235751, 0.7138182468371054, 12.196072443461546, 0.036285727870646996, 0.024605902158735638, 0.0004108720554862255, 0.002000337071166352, 0.10714331501688909, 8.521330264231535e-05, 0.00022614162182516183, 0.017696682311074977, 5.416877258833469e-05, 0.00030008966580850026, 0.9291718094900299, 0.0010465233331254848, 0.013426270148317578, 0.004270552837155803, 0.5029667905388743, 0.00011451576877509142, 0.0019635619289360847, 8.975776381555242, 0.2901341710725047, 0.0004871338082908336, 0.0002448754036917311, 0.25373032673557316, 0.0011833765050042134, 0.0002931560086020686, 0.21349321093780038, 0.2565335336477835, 0.014145774993808993, 0.04171364182931741, 0.021785875818871044, 0.00029671302500854736, 0.18553753417561789, 0.00030710062052408165, 0.5647234408989997, 8.263824690929899e-05, 0.0008187705197086273, 0.00022675767724584652, 0.001870765929804026, 0.00016285157636109887, 0.0004462748968400759, 0.03408216348847363, 1.2754350205457101, 0.4684547899010381, 1.4050369717426818, 0.00011906161868381705, 0.02614903851300996, 0.3469985899825465, 0.00033764294345938, 4.7929797050855216e-05, 0.5494905677650719, 0.00781863739353331, 0.0011934123513743062, 0.007677147372809263, 0.0002572451710343821, 0.041267085999355906, 4.865183114751651e-05, 0.0007613360177218264, 0.18848968956624151, 9.980243900154252e-05, 0.026958024970462187, 0.004565562485297805, 0.0048359898985446395, 0.0048550694869339845, 0.22216918779211808, 0.1400004259670658, 0.36442557482323745, 0.030242979301667187, 0.00013788172596716113, 0.00011363064405672743, 6.989721926760713, 0.01801459100046249, 0.0002579568719580501, 0.01789261552677301, 5.9009166124477026e-05, 0.013672440727164758, 0.0034727599108991905, 0.21113347478849628, 0.005347839454035721, 0.0001617630606853332, 0.6857620620922029, 0.006263772104606386, 0.005985852713763969, 0.016527290014460582, 0.017734773582958, 0.0010765943473551075, 0.05113977574679461, 4.700082479946271e-05, 0.002589095929933391, 7.269935009454178e-05, 0.024082636298807098, 0.002957195204371073, 0.20265329960474918, 0.002365941071043125, 0.05676690568029525, 0.8690317733858542, 0.20579260982049027, 0.008773416985341185, 0.36370632727121194, 0.20470037098072896, 0.03572832353739019, 0.002655689874194692, 0.001737516142163335, 0.0014653756263418795, 0.12050502083334053, 1.3259725103568332, 0.001162315696360186, 0.011478381542796515, 0.005874728256946357, 0.017327145106565366, 0.03747583660268065, 0.0015680989825746523, 0.05333932268660638, 0.04049377285397588, 0.00046131724182937075, 0.05300264710511058, 0.01178037939079259, 0.001121945792730371, 0.002110155563860913, 0.4341237930145258, 0.0001982913119516311, 0.39455736990971796, 5.661562131920665e-05, 9.659186572040512e-05, 0.10827051639160912, 2.145867642071821, 0.8377127163081053, 0.0008554623839743782, 0.7442806300948372, 0.007495954448211246, 8.923272973335671e-05, 0.1342434114636468, 0.00043908074734137423, 0.3012645889984645, 0.0037529722326839414, 9.916396603122894e-05, 6.601463759932195e-05, 0.00013969677476924355, 0.014811695509578627, 1.7420019526048354, 0.004472754905686383, 5.0230901946251795e-05, 0.3207837137037465, 7.284313668990689e-05, 0.06434483404909679, 0.1127525776084485, 1.8309985006456326, 0.3371965684979016, 0.008521941674388552, 0.3702925633378712, 0.10961400756087754, 0.017549989751394872, 0.02584450411634457, 0.9378704102629147, 0.16249464516658155, 0.0009661349503749682, 0.00021771056815089623, 0.00036824596338681456, 0.24045082564123244, 0.39273612309737055, 1.240328117594817, 1.267542963479619, 7.113656466824873e-05, 0.0005030475559525116, 0.002146897282699173, 1.6548523488740041, 0.23831283662653516, 0.03260924415722721, 0.004658676697291158, 0.007221785878308499, 0.05805072360451634, 0.04063937952930609, 0.00013586286762132138, 0.0005246955248475459, 8.386678833139784e-05, 0.4174207971392552, 0.004566174740509653, 0.02720600801442615, 0.0003091270944609203, 0.004494408754722545, 0.1485159768966788, 0.0005913424984295957, 0.01736544842932957, 0.0006328127871577358, 0.00010270286773913729, 0.0860656593090039, 0.24633559821446982, 0.013236392953903975, 0.00013533915992742794, 6.61664475508976e-05, 0.03646731372404801, 2.0980156288723646, 0.0005407132708033897, 0.8193262421441724, 0.0017190946112369612, 0.025457396305224523, 0.06383684542263951, 4.6809867861951004e-05, 0.0003707989316700472, 0.004627470599930352, 0.012881551416524124, 0.00011218368749564236, 0.00021938039563199258, 10.999476926800794, 0.016055225040136584, 0.0017722245391220363, 8.048152512037243, 0.025756244405457922, 0.00026197386870206615, 0.021287951128348317, 0.0001412124109740833, 0.0002805390085454168, 0.0012770284690754275, 0.015437834607752379, 0.002593644162970368, 0.0021136490806830696, 0.0006654145689655248, 0.43107514184429996, 0.005070123811941332, 0.0007337323885464804, 6.408863049724637e-05, 0.001058564128409658, 0.00010312116688590801, 0.015995263087005936, 0.026058371354779643, 0.04625076881028831, 0.029497851505766167, 0.03747920294478154, 0.1196618951946138, 0.3175248597499956, 5.400439677451115e-05, 0.0022472937696572503, 0.0038475847017616594, 0.10969728202115894, 0.00042139233804846436, 0.0028954973742031423, 0.04999631128322722, 0.0010245799882634245, 0.0008571267343247351, 0.00037506562517199637, 0.0011194653943501923, 0.08019528054151343, 0.343082843169199, 0.000313135205355453, 1.2805853408710812, 0.0002639048788549013, 0.0006710100859453215, 1.443313074478474, 0.012136703575274733, 0.008519332533435455, 0.13592192086137186, 0.06129673287409714, 0.1125175176188, 0.000401507383533042, 0.03639919110915104, 0.002951838225992061, 0.00514557727160191, 0.0019074603900410482, 0.019669136371406628, 0.0013755049479007757, 0.7134555959663403, 3.6166721627363927, 0.029283369941285, 5.6080290478746036e-05, 0.0002563090540120926, 0.017152959190921434, 0.00012718524381745061, 0.002253740569762756, 0.08947385998931445, 0.06486486589011722, 5.855792374819958e-05, 0.0037064869579645637, 2.2431222944711178, 0.0038047943631215144, 0.03751580632645898, 0.0004432316785130707, 0.1641038476498487, 0.007645579157467459, 7.469679145999503e-05, 0.0835144776312991, 0.23985336044467212, 0.006306706493717832, 0.36598393125776624, 0.006051142162180454, 0.2745692151275674, 0.006048140040497638, 0.5557675329975047, 0.0005654439178102797, 0.001964542008294143, 0.015157148485802817, 0.000605786575194637, 2.286308904044519, 0.3148874418302245, 0.035207182396820365, 0.0002546605645685231, 0.06491334912302416, 0.025684818219836147, 0.24720037773324097, 0.07438748262178002, 0.26941650751380164, 0.01709940014982987, 3.6189270975370142, 0.02474840900161427, 0.0023078506607073002, 0.06801416963607451, 0.18573777125717938, 0.00015113982559725148, 8.583221928802077e-05, 0.03189526832823199, 0.006545782247489839, 0.00017328719610058545, 0.07405956511597546, 0.3090891374746654, 0.0022394489268168028, 1.1668777271461566, 0.004521146598135168, 0.0002849043194731722, 0.0016316317414845805, 0.02851702993436248, 0.00011310195280052595, 0.001815200522875898, 0.7372450530453047, 8.715759757231916e-05, 0.045604469923213764, 0.00036086472433596704, 0.008454423771229147, 0.00019989173116833633, 0.005076291634795877, 7.249190021844176e-05, 0.0002033249987045016, 0.3073703782032515, 0.04164982264132673, 0.039574900832464004, 0.00040606712555033616, 0.6299539284649919, 0.4205542466090625, 0.0003330301345393067, 0.5271985388041909, 0.003724584881592738, 0.001227240360973048, 0.911352594560014, 0.007463280558894354, 0.41561570210368537, 0.09975805011369829, 0.0006594439529584402, 0.008950715130581143, 0.0001384346914572566, 0.6659894895949202, 5.779402992797356e-05, 5.6371482040331025e-05, 9.76830198853593e-05, 0.0002799758998255149, 0.015990053543153016, 0.00010899337169305393, 0.404297826400041, 0.0009377283244484513, 0.07438435128778283, 4.731012208123633e-05, 0.02558474366153832, 0.7684059965089762, 0.020411081765137163, 0.006250555329290163, 0.012565392892664076, 0.00061305007187392, 0.0005485125907550132, 0.007439442036537934, 0.024513958048052946, 0.4526027548270014, 0.09253084649115766, 8.288517375116552e-05, 0.1650280634761662, 0.0005499528061675847, 1.0004633867267403, 5.348597786345966e-05, 7.322156113636332e-05, 0.16268273671829386, 6.65727163754097e-05, 9.287917494020012e-05, 0.0008618449977000095, 0.0012747405712774066, 0.45880550774055373, 0.004023447879910945, 0.004873251020972354, 0.0007517305259155506, 0.31053850108905345, 0.0014993276877251524, 0.00030872790427018885, 0.443399875462302, 0.19480889569953008, 0.05567949233768667, 0.03623147666688507, 1.2980948236970864, 5.478272771280209e-05, 0.0037398437569534197, 0.44268693809944776, 0.01332070762821664, 0.0003029418380659187, 6.630661923690748e-05, 0.020399846011354878, 0.0009593519828771916, 0.022202222998802063, 2.454416671434994, 0.08229991004625055, 0.00013534051875997464, 2.142895675245042, 0.35861314303544334, 9.105741662030548e-05, 0.15616347947870848, 0.6276187335179965, 0.0017024634956715275, 0.0012545811007130697, 0.015771991497409644, 0.0004816130736206695, 7.435582301698672e-05, 0.053980837145123646, 0.12412888783705113, 0.0003763837313074216, 0.0012028259003816402, 0.0012006415027791, 0.0002510221704356922, 0.0048666894095487035, 0.006453838360182706, 0.11184406375939358, 0.0004292548301638049, 0.0019705335094163043, 0.005958665771642393, 0.005088965336153893, 0.002403302922244296, 0.004058869158941902, 0.0001265360792235351, 0.08589476563649145, 0.13649401697498081, 0.09280427355231742, 5.364346801256389, 2.2398231217078135, 0.2414306495631821, 0.010489437626073407, 9.77099336488461e-05, 1.5313643046593755, 0.0016344446352659324, 4.666110882695708e-05, 0.002575938558873103, 1.1459467508083563, 0.00023879488858636531, 7.236412741440138e-05, 0.004371582250086731, 0.012872847673742685, 0.003268995735517788, 8.186691849379368e-05, 0.6743892010529199, 0.009972554806122089, 0.00248709004638711, 1.978142845471885, 0.05881475744742536, 9.59791544333098e-05, 0.15882183973205727, 0.002479589089822283, 0.0003068195025219515, 7.82779442791655e-05, 0.0001060477415757285, 0.0003617748565631019, 0.0010232665553735574, 0.00028699747600953625, 0.0002599434749836009, 9.577752196121961e-05, 0.029361809877309793, 1.161582606553862, 0.03188289228682018, 0.2450974818318427, 0.02297557421515812, 0.0008364299578966648, 0.00102467290425359, 0.0001270493069221617, 0.09810172105157544, 0.0005641829996930562, 0.09581318413080822, 9.575748826298486e-05, 21.75262830380669, 0.15718993670732687, 7.316953518868378e-05, 0.3435940883733421, 0.037944733367637457, 0.42537185774225017, 5.30597783059403e-05, 7.800913786814942e-05, 0.00019607555462067053, 0.012593778953759023, 0.0894301518619191, 0.0008325302221977361, 0.01827174684398778, 0.00013950585441002185, 0.15982805901463842, 0.00023933426736014141, 1.3374654412840492, 0.002458008096130781, 0.008905084595148898, 1.9030078423203767, 0.005365722625127564, 0.1489557045524717, 0.8345139845108956, 0.22084595879742883, 0.00013378520865478332, 0.0027884520878434967, 0.05651266202316583, 0.0003872926213983563, 0.9432115216607976, 0.6889205260705943, 0.050160944423047873, 9.456519819081883e-05, 0.8571407008096483, 0.0038508235840908085, 0.005191622058921483, 0.02900061224202324, 0.00013523894094059734, 0.000616184895431212, 5.0725162999984386e-05, 6.987593926622088e-05, 1.0533822535149882, 0.0005369694990249471, 0.7705480451530111, 0.38943058583678464, 6.105759142641146e-05, 3.4681863846635985, 0.000904403740629784, 0.31568667112826443, 0.0010972757398639184, 0.0005265126177612374, 2.7102652720304765, 0.06606389911430333, 0.0004775332380544065, 0.31265261975557107, 0.00010407645884362985, 0.3744870263220424, 0.1554871316726558, 0.00020239911651045837, 1.498087546430862, 0.17255014368223656, 0.0038744342333560306, 0.006026982223103665, 0.00022272235180979266, 0.04563266912162353, 7.19021788714416e-05, 0.6101288906032833, 0.00038497375566561243, 0.00041455064184489903, 0.30307286582027876, 0.018543477410464478, 0.0518128654581362, 0.28129484278093214, 1.2248935599129038, 0.001071472478827639, 0.059797127152147495, 0.05239120836396523, 0.09562206731846586, 0.001742065236555884, 0.12627538174846853, 4.6871034082085386e-05, 0.0002837957169599028, 1.107255031223783, 0.0001391597919782749, 6.858079292594285e-05, 0.0006607923382053095, 0.030178532243259976, 0.008834894897790232, 4.785504936609354e-05]} diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/runner.py new file mode 100644 index 000000000000..74114bbe3861 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/fixtures/python/runner.py @@ -0,0 +1,77 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2024 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 + python> gen(lam, "data.json") + ``` + """ + # Compute standard deviation values: + z = np.array(planck.std(lam)) + + # 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/stdev/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/test.js new file mode 100644 index 000000000000..497f0b5f795c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/planck/stdev/test/test.js @@ -0,0 +1,81 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 stdev = 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 stdev, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for `lambda`, the function returns `NaN`', function test( t ) { + var v = stdev( 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 = stdev( 0.0 ); + t.equal( isnan( v ), true, 'returns expected value' ); + + v = stdev( -1.1 ); + t.equal( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns the standard deviation 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 = stdev( 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(); +});