diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.js index e14334a122ef..90d2cc2b940e 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.js @@ -22,7 +22,7 @@ var bench = require( '@stdlib/bench' ); var Float64Array = require( '@stdlib/array/float64' ); -var randu = require( '@stdlib/random/base/randu' ); +var uniform = require( '@stdlib/random/base/uniform' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var EPS = require( '@stdlib/constants/float64/eps' ); var pkg = require( './../package.json' ).name; @@ -47,10 +47,10 @@ bench( pkg, function benchmark( b ) { mode = new Float64Array( len ); for ( i = 0; i < len; i++ ) { - t[ i ] = randu() * 5.0; - min[ i ] = randu() * 10.0; - max[ i ] = min[ i ] + ( randu() * 40.0 ) + EPS; - mode[ i ] = min[ i ] + ( ( max[ i ] - min[ i ] ) * randu() ); + t[ i ] = uniform( 0.0, 5.0 ); + min[ i ] = uniform( 0.0, 10.0 ); + max[ i ] = uniform( min[ i ] + EPS, min[ i ] + 40.0 ); + mode[ i ] = uniform( min[ i ], max[ i ]); } b.tic(); @@ -73,6 +73,7 @@ bench( pkg+':factory', function benchmark( b ) { var mode; var min; var max; + var len; var t; var y; var i; @@ -81,11 +82,15 @@ bench( pkg+':factory', function benchmark( b ) { max = 1.5; mode = 0.5; mymgf = mgf.factory( min, max, mode ); + len = 100; + t = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + t[ i ] = uniform( 0.0, 5.0 ); + } b.tic(); for ( i = 0; i < b.iterations; i++ ) { - t = randu() * 5.0; - y = mymgf( t ); + y = mymgf( t[ i % len ]); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.native.js index a00907214e1d..f1d1571d782e 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/benchmark/benchmark.native.js @@ -23,7 +23,7 @@ var resolve = require( 'path' ).resolve; var bench = require( '@stdlib/bench' ); var Float64Array = require( '@stdlib/array/float64' ); -var randu = require( '@stdlib/random/base/randu' ); +var uniform = require( '@stdlib/random/base/uniform' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var tryRequire = require( '@stdlib/utils/try-require' ); var EPS = require( '@stdlib/constants/float64/eps' ); @@ -56,10 +56,10 @@ bench( pkg+'::native', opts, function benchmark( b ) { mode = new Float64Array( len ); for ( i = 0; i < len; i++ ) { - t[ i ] = randu() * 5.0; - min[ i ] = randu() * 10.0; - max[ i ] = min[ i ] + ( randu() * 40.0 ) + EPS; - mode[ i ] = min[ i ] + ( ( max[ i ] - min[ i ] ) * randu() ); + t[ i ] = uniform( 0.0, 5.0 ); + min[ i ] = uniform( 0.0, 10.0 ); + max[ i ] = uniform( min[ i ] + EPS, min[ i ] + 40.0 ); + mode[ i ] = uniform( min[ i ], max[ i ]); } b.tic(); diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/factory.js index 4c1e941e5325..9de246f4dbad 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/factory.js @@ -23,7 +23,7 @@ var constantFunction = require( '@stdlib/utils/constant-function' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var exp = require( '@stdlib/math/base/special/exp' ); -var pow = require( '@stdlib/math/base/special/pow' ); +var phi2 = require( './phi2.js' ); // MAIN // @@ -45,10 +45,6 @@ var pow = require( '@stdlib/math/base/special/pow' ); * // returns ~10.205 */ function factory( a, b, c ) { - var bmc; - var bma; - var cma; - if ( isnan( a ) || isnan( b ) || @@ -58,9 +54,6 @@ function factory( a, b, c ) { ) { return constantFunction( NaN ); } - bmc = b - c; - bma = b - a; - cma = c - a; return mgf; /** @@ -75,19 +68,19 @@ function factory( a, b, c ) { * // returns */ function mgf( t ) { - var ret; - if ( isnan( t ) ) { return NaN; } - if ( t === 0.0 ) { - return 1.0; + if ( a < c ) { + if ( c < b ) { + return exp( c*t ) * ( ( (c-a)*phi2( (a-c)*t ) ) + ( (b-c)*phi2( (b-c)*t ) ) ) / ( b-a ); // eslint-disable-line max-len + } + return exp( c*t ) * phi2( ( a-c ) * t ); + } + if ( c < b ) { + return exp( c*t ) * phi2( ( b-c ) * t ); } - ret = ( bmc * exp( a*t ) ) - ( bma * exp( c*t ) ); - ret += cma * exp( b*t ); - ret *= 2.0; - ret /= bma * cma * bmc * pow( t, 2.0 ); - return ret; + return exp( c*t ); } } diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/main.js index c9fe40e86f76..34feaa1ffec3 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/main.js @@ -22,7 +22,7 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); var exp = require( '@stdlib/math/base/special/exp' ); -var pow = require( '@stdlib/math/base/special/pow' ); +var phi2 = require( './phi2.js' ); // MAIN // @@ -73,11 +73,6 @@ var pow = require( '@stdlib/math/base/special/pow' ); * // returns NaN */ function mgf( t, a, b, c ) { - var bmc; - var bma; - var cma; - var ret; - if ( isnan( t ) || isnan( a ) || @@ -88,17 +83,16 @@ function mgf( t, a, b, c ) { ) { return NaN; } - if ( t === 0.0 ) { - return 1.0; + if ( a < c ) { + if ( c < b ) { + return exp( c*t ) * ( ( (c-a)*phi2( (a-c)*t ) ) + ( (b-c)*phi2( (b-c)*t ) ) ) / ( b-a ); // eslint-disable-line max-len + } + return exp( c*t ) * phi2( ( a-c ) * t ); + } + if ( c < b ) { + return exp( c*t ) * phi2( ( b-c ) * t ); } - bmc = b - c; - bma = b - a; - cma = c - a; - ret = ( bmc * exp( a*t ) ) - ( bma * exp( c*t ) ); - ret += cma * exp( b*t ); - ret *= 2.0; - ret /= bma * cma * bmc * pow( t, 2.0 ); - return ret; + return exp( c*t ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/phi2.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/phi2.js new file mode 100644 index 000000000000..45ef5569502b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/lib/phi2.js @@ -0,0 +1,45 @@ +/** +* @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 expm1 = require( '@stdlib/math/base/special/expm1' ); + + +// MAIN // + +/** +* Helper function for repeated computation in the MGF formula. +* +* @private +* @param {number} x - input value +* @returns {number} evaluated result +*/ +function phi2( x ) { + if ( x === 0.0 ) { + return 1.0; + } + return ( 2.0 * ( expm1( x ) - x ) ) / ( x*x ); +} + + +// EXPORTS // + +module.exports = phi2; diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/manifest.json index a54b0ef8e252..7e6448af4a8c 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/manifest.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/manifest.json @@ -41,7 +41,7 @@ "@stdlib/math/base/napi/quaternary", "@stdlib/math/base/assert/is-nan", "@stdlib/math/base/special/exp", - "@stdlib/math/base/special/pow" + "@stdlib/math/base/special/expm1" ] }, { diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/src/main.c index b9deb936b74e..e489baa7bb29 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/src/main.c +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/src/main.c @@ -18,8 +18,21 @@ #include "stdlib/stats/base/dists/triangular/mgf.h" #include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/math/base/special/expm1.h" #include "stdlib/math/base/special/exp.h" -#include "stdlib/math/base/special/pow.h" + +/** +* Helper function for repeated computation in the MGF formula. +* +* @param x input value +* @return evaluated result +*/ +static double phi2( const double x ) { + if ( x == 0.0 ) { + return 1.0; + } + return ( 2.0 * ( stdlib_base_expm1( x ) - x ) ) / ( x*x ); +} /** * Evaluates the moment-generating function (MGF) for a triangular distribution with lower limit `a`, upper limit `b`, and mode `c` at a value `t`. @@ -35,29 +48,19 @@ * // returns ~1.021 */ double stdlib_base_dists_triangular_mgf( const double t, const double a, const double b, const double c ) { - double bmc; - double bma; - double cma; - double ret; - if ( - stdlib_base_is_nan( t ) || - stdlib_base_is_nan( a ) || - stdlib_base_is_nan( b ) || - stdlib_base_is_nan( c ) || - a > c || - c > b - ) { - return 0.0/0.0; // NaN + if ( stdlib_base_is_nan( t ) || stdlib_base_is_nan( a ) || stdlib_base_is_nan( b ) || stdlib_base_is_nan( c ) || a > c || c > b ) { + return 0.0 / 0.0; // NaN } - if ( t == 0.0 ) { - return 1.0; + if ( a < c ) { + if ( c < b ) { + double term1 = ( c-a ) * phi2( ( a-c ) * t ); + double term2 = ( b-c ) * phi2( ( b-c ) * t ); + return stdlib_base_exp( c*t ) * ( term1+term2 ) / ( b-a ); + } + return stdlib_base_exp( c*t ) * phi2( ( a-c ) * t ); + } + if ( c < b ) { + return stdlib_base_exp( c*t ) * phi2( ( b-c ) * t ); } - bmc = b - c; - bma = b - a; - cma = c - a; - ret = ( bmc * stdlib_base_exp( a*t ) ) - ( bma * stdlib_base_exp( c*t ) ); - ret += cma * stdlib_base_exp( b*t ); - ret *= 2.0; - ret /= bma * cma * bmc * stdlib_base_pow( t, 2.0 ); - return ret; + return stdlib_base_exp( c*t ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_eq_b.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_eq_b.json new file mode 100644 index 000000000000..0bf9b9a1bf18 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_eq_b.json @@ -0,0 +1 @@ +{"expected":[2047.969097237837,108.47650712396018,28.288973052455276,1.0804195844038627,4.655627664645939,572.485526506471,5600.050187006757,44.13950744051421,13.024215928630266,1.7757002725770166,8.10712541780663,162.07196259382974,135776.3346802282,12.665623100286652,19.70327156802507,5.0738886337080435,3.796138669448384,13602.302875346833,431.42521759115124,108.54929269576746,129418.5058276081,318.31586096397837,480.30771716221074,40.243355982971856,655.7066983647682,2.247280014782819,112730.55768980303,1.1159962585382928,5.425349120683166,1.1495767678649187,1.2467062081234754,664.3048971001804,1.3489504320545718,3648.9057145337756,80.30846353030175,57.678869479594866,473.44153190512964,2.0674677370620507,1.1647119065166394,187.6681744656912,12416.331963131182,259362.2150898457,7.41384784113691e6,9185.6065250003,2060.3465263008948,2.044255363215837e8,828633.3935282318,2.11374452649298,27.47527757568105,14485.564718766576,278542.0406484599,2.072606863210006e6,457.31913976791776,177.9475058954381,2.8061379713932926,153318.8060258589,1.2551853906906876,51409.96157304272,20.085898952497494,142.22824208312304,3.8735392952984964,8.641011406639437,4.439751802921114,138.86901959892342,139718.3539643572,148913.16026966582,14.337246073146703,94133.27549251786,6.035389721852163,13.943923008342415,91680.66740728925,297.5426909358211,34.84396252466307,12.821417019644155,1.6394867321230464,726.1108781133107,10.440157361580889,225.60482317155123,1.0863058292095207,19.26774807652417,6.364746334207327,44.603480668463796,208.7737644735755,3.909890420207362,1.4728706548228941e6,120.29511130259677,164.48162020778994,1.0241686275671313,234074.7756050437,4.336240820018537,1012.1545796745111,1798.158621612529,3.9545232284650713,1.3698907558942541e7,6.1251494268664635,375554.22248326126,1.2521942694253601e7,1.273623906210573,455.9032908319171,1.5857886287136893,1.3076748394085929,19.117743788848806,3.745516740065892,2.4636664204923333,1.0275443194278583e6,6.914474368677692,2.553031899244089,160.38549722887132,21.473957652261753,15.192926879647459,1.752644908081419,13.88584034843285,24553.029469585523,1.8414522054907003,1.2026420189700535,2.4703217307971115,536.6699969953339,60.64674251335317,233.6544602168487,10.012961940667946,1354.4799532699346,2.295613323770488,2176.014382927754,34.977200534997216,9.83567879338098,196.44359863813594,119.59529484651712,347.56664335764674,118.05487805122354,63.490021783720884,3.0397808206257624,2.1276221123283694,30.506924298852365,51152.558751177174,12.21000948884648,2.3252648845078308,2.6049209726543365,34.28402771650787,2.1343705543586045,10073.57986432739,4.255558300445909,26.143478657306748,2.2604411764178542,6.296565045987157,7.52067352065641,7.388174873946621,1.374294380064653,99.34602802077421,68.62171364837255,9605.749162436645,5.557317385437766,2.455736110744238e7,170.12462311507383,651.1824559809339,3.196776498269719,22.16004470060902,15.456363089132553,1.967037974706978,141.9136682723236,2264.1988897668307,40.61554977538838,1.2308122199250529,78.66522777817124,1.8908215293206532,30.530972891111457,216.60229029777662,7919.5746905926235,22478.142445125304,5.466159873262057e7,1.112190978385108,29967.739062267738,360.67736376182495,544.9243978099172,68296.63286289966,39533.92476327319,7462.866111397079,5226.138244320216,807.0243870239561,72604.11902010656,2.441907908874356,2873.085910270921,28866.999831491885,18.222418927903803,4.556325371761674,2.1864984064400024,40.63734252389701,153030.2327695637,41.49486827920203,1.1547918262952979,1423.5694805359249,2.8487120422348995,1.1940099645575084,5.5203211580549745,14.412361245561698,2.2810023085965994,2.9167162660386765,1681.4674201501318,38.2933152096129,3142.3278506662796,54.799985914337924,2721.9480201957076,4.714556636464268,18.73111335792301,18980.003156619576,54.74876835115379,1.291662943455333,19.462925783786698,26.17873532223519,2044.5528826133268,1329.9968962644684,46546.703664262815,710474.3786584415,84.69899395861637,119513.73543881792,393.61621920598475,46.06790947305964,219243.49893716737,437862.7405329771,16.0285667432074,1.4273029878921824,291.1891326764258,1.765190262126999,337765.39630067797,4.61707618878219,505.44936272443175,74.69444958042111,5.568878851719669,95.95058901245383,78.46323651996522,464922.0185584285,188.61282579523223,114.88614120113564,9215.279001675652,167.9351791474698,441.5207241702851,25.162917419670375,10.057140195258162,8.603498386370795,13.853689446860393,217.11754864537235,2565.1088683564712,2.7521008059541434,2.526535290074187,19.248009427852807,732885.8073295797,5.571913138039454,177.0746119987185,2335.069402897916,211300.98286033876,12.395978148236978,674083.3822419557,285845.0155617196,1.018705593380953,1.597765567407079,3.943215056657146e6,46.47431331692407,13.890407514787817,43.58004070789059,213.04271026707806,84.47780687185386,47.63553953579795,1.0502921853710458,522.7069602610477,3.141282316741008,693.915599384949,1711.5061773763764,126.32292306608042,1.1065067068793357,109.01647697520272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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_less_b.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_less_b.json new file mode 100644 index 000000000000..f48c59c53ad0 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_eq_c_less_b.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_eq_b.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_eq_b.json new file mode 100644 index 000000000000..d2a71726e3d7 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_eq_b.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_less_b.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_less_b.json new file mode 100644 index 000000000000..12e34e02b954 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/a_less_c_less_b.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/large_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/large_range.json index 61e38e8356f6..12e34e02b954 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/large_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/large_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/medium_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/medium_range.json index 16697c29330a..67b3140c2c01 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/medium_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/medium_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/runner.jl index 9fac32a69018..1afc54ddff0e 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/runner.jl @@ -93,3 +93,15 @@ b = ( rand( 1000 ) .* 80.0 ) .+ a; c = a .+ ( b .- a ) .* rand(); x = rand( 1000 ); gen( x, a, b, c, "large_range.json" ); + +# Case: a < c < b +gen( x, a, b, c, "a_less_c_less_b.json" ); + +# Case: a < c = b +gen( x, a, b, b, "a_less_c_eq_b.json" ); + +# Case: a = c < b +gen( x, a, b, a, "a_eq_c_less_b.json" ); + +# Case: a = c = b +gen( x, a, a, a, "a_eq_c_eq_b.json" ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/small_range.json b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/small_range.json index c3cee33a4b06..dfe41c3b26b8 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/small_range.json +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/fixtures/julia/small_range.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.factory.js index e09ee2891521..06e5699cc2e2 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.factory.js @@ -34,6 +34,10 @@ var factory = require( './../lib/factory.js' ); var smallRange = require( './fixtures/julia/small_range.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); +var aLessCLessB = require( './fixtures/julia/a_less_c_less_b.json' ); +var aLessCEqB = require( './fixtures/julia/a_less_c_eq_b.json' ); +var aEqCLessB = require( './fixtures/julia/a_eq_c_less_b.json' ); +var aEqCEqB = require( './fixtures/julia/a_eq_c_eq_b.json' ); // TESTS // @@ -239,3 +243,127 @@ tape( 'the created function evaluates the MGF for `x` given a large range `b - a } t.end(); }); + +tape( 'the created function evaluates the MGF for `x` given the case: a < c < b', function test( t ) { + var expected; + var delta; + var mgf; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCLessB.expected; + x = aLessCLessB.x; + a = aLessCLessB.a; + b = aLessCLessB.b; + c = aLessCLessB.c; + for ( i = 0; i < x.length; i++ ) { + mgf = factory( a[i], b[i], c[i] ); + y = mgf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the MGF for `x` given the case: a < c = b', function test( t ) { + var expected; + var delta; + var mgf; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCEqB.expected; + x = aLessCEqB.x; + a = aLessCEqB.a; + b = aLessCEqB.b; + c = aLessCEqB.c; + for ( i = 0; i < x.length; i++ ) { + mgf = factory( a[i], b[i], c[i] ); + y = mgf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the MGF for `x` given the case: a = c < b', function test( t ) { + var expected; + var delta; + var mgf; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aEqCLessB.expected; + x = aEqCLessB.x; + a = aEqCLessB.a; + b = aEqCLessB.b; + c = aEqCLessB.c; + for ( i = 0; i < x.length; i++ ) { + mgf = factory( a[i], b[i], c[i] ); + y = mgf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the MGF for `x` given the case: a = c = b', function test( t ) { + var expected; + var delta; + var mgf; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aEqCEqB.expected; + x = aEqCEqB.x; + a = aEqCEqB.a; + b = aEqCEqB.b; + c = aEqCEqB.c; + for ( i = 0; i < x.length; i++ ) { + mgf = factory( a[i], b[i], c[i] ); + y = mgf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[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/triangular/mgf/test/test.mgf.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.mgf.js index cb18e08e3d04..1f326c75a7dc 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.mgf.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.mgf.js @@ -32,6 +32,10 @@ var mgf = require( './../lib' ); var smallRange = require( './fixtures/julia/small_range.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); +var aLessCLessB = require( './fixtures/julia/a_less_c_less_b.json' ); +var aLessCEqB = require( './fixtures/julia/a_less_c_eq_b.json' ); +var aEqCLessB = require( './fixtures/julia/a_eq_c_less_b.json' ); +var aEqCEqB = require( './fixtures/julia/a_eq_c_eq_b.json' ); // TESTS // @@ -176,3 +180,119 @@ tape( 'the function evaluates the MGF for `x` given a large range `b - a`', func } t.end(); }); + +tape( 'the function evaluates the MGF for `x` given the case: a < c < b', function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCLessB.expected; + x = aLessCLessB.x; + a = aLessCLessB.a; + b = aLessCLessB.b; + c = aLessCLessB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a < c = b', function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCEqB.expected; + x = aLessCEqB.x; + a = aLessCEqB.a; + b = aLessCEqB.b; + c = aLessCEqB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a = c < b', function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aEqCLessB.expected; + x = aEqCLessB.x; + a = aEqCLessB.a; + b = aEqCLessB.b; + c = aEqCLessB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a = c = b', function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aEqCEqB.expected; + x = aEqCEqB.x; + a = aEqCEqB.a; + b = aEqCEqB.b; + c = aEqCEqB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[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/triangular/mgf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.native.js index 47e6e6ebcbc7..11bfd214f22d 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.native.js +++ b/lib/node_modules/@stdlib/stats/base/dists/triangular/mgf/test/test.native.js @@ -33,6 +33,10 @@ var tryRequire = require( '@stdlib/utils/try-require' ); var smallRange = require( './fixtures/julia/small_range.json' ); var mediumRange = require( './fixtures/julia/medium_range.json' ); var largeRange = require( './fixtures/julia/large_range.json' ); +var aLessCLessB = require( './fixtures/julia/a_less_c_less_b.json' ); +var aLessCEqB = require( './fixtures/julia/a_less_c_eq_b.json' ); +var aEqCLessB = require( './fixtures/julia/a_eq_c_less_b.json' ); +var aEqCEqB = require( './fixtures/julia/a_eq_c_eq_b.json' ); // VARIABLES // @@ -122,8 +126,8 @@ tape( 'the function evaluates the MGF for `x` given a small range `b - a`', opts } else { delta = abs( y - expected[ i ] ); - // FIXME: the tolerance for the C implementation is widely different from the JavaScript implementation, and it is not clear why. - tol = 1.0e7 * EPS * abs( expected[ i ] ); + // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205 + tol = 2.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -152,9 +156,7 @@ tape( 'the function evaluates the MGF for `x` given a medium range `b - a`', opt t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - - // FIXME: the tolerance for the C implementation is widely different from the JavaScript implementation, and it is not clear why. - tol = 1.0e7 * EPS * abs( expected[ i ] ); + tol = 1.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -183,9 +185,123 @@ tape( 'the function evaluates the MGF for `x` given a large range `b - a`', opts t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a < c < b', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCLessB.expected; + x = aLessCLessB.x; + a = aLessCLessB.a; + b = aLessCLessB.b; + c = aLessCLessB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a < c = b', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aLessCEqB.expected; + x = aLessCEqB.x; + a = aLessCEqB.a; + b = aLessCEqB.b; + c = aLessCEqB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a = c < b', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; + + expected = aEqCLessB.expected; + x = aEqCLessB.x; + a = aEqCLessB.a; + b = aEqCLessB.b; + c = aEqCLessB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the MGF for `x` given the case: a = c = b', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var a; + var b; + var c; + var y; + var i; - // FIXME: the tolerance for the C implementation is widely different from the JavaScript implementation, and it is not clear why. - tol = 1.0e7 * EPS * abs( expected[ i ] ); + expected = aEqCEqB.expected; + x = aEqCEqB.x; + a = aEqCEqB.a; + b = aEqCEqB.b; + c = aEqCEqB.c; + for ( i = 0; i < x.length; i++ ) { + y = mgf( x[i], a[i], b[i], c[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+', a: '+a[i]+', b: '+b[i]+', c: '+c[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. x: '+x[ i ]+'. a: '+a[i]+'. b: '+b[i]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } }