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| 1 | +/** |
| 2 | +* @license Apache-2.0 |
| 3 | +* |
| 4 | +* Copyright (c) 2025 The Stdlib Authors. |
| 5 | +* |
| 6 | +* Licensed under the Apache License, Version 2.0 (the "License"); |
| 7 | +* you may not use this file except in compliance with the License. |
| 8 | +* You may obtain a copy of the License at |
| 9 | +* |
| 10 | +* http://www.apache.org/licenses/LICENSE-2.0 |
| 11 | +* |
| 12 | +* Unless required by applicable law or agreed to in writing, software |
| 13 | +* distributed under the License is distributed on an "AS IS" BASIS, |
| 14 | +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 15 | +* See the License for the specific language governing permissions and |
| 16 | +* limitations under the License. |
| 17 | +*/ |
| 18 | + |
| 19 | +'use strict'; |
| 20 | + |
| 21 | +// MODULES // |
| 22 | + |
| 23 | +var resolve = require( 'path' ).resolve; |
| 24 | +var tape = require( 'tape' ); |
| 25 | +var tryRequire = require( '@stdlib/utils/try-require' ); |
| 26 | +var isnan = require( '@stdlib/math/base/assert/is-nan' ); |
| 27 | +var abs = require( '@stdlib/math/base/special/abs' ); |
| 28 | +var PINF = require( '@stdlib/constants/float64/pinf' ); |
| 29 | +var EPS = require( '@stdlib/constants/float64/eps' ); |
| 30 | + |
| 31 | + |
| 32 | +// VARIABLES // |
| 33 | + |
| 34 | +var kurtosis = tryRequire( resolve( __dirname, './../lib/native.js' ) ); |
| 35 | +var opts = { |
| 36 | + 'skip': ( kurtosis instanceof Error ) |
| 37 | +}; |
| 38 | + |
| 39 | + |
| 40 | +// FIXTURES // |
| 41 | + |
| 42 | +var data = require( './fixtures/julia/data.json' ); |
| 43 | + |
| 44 | + |
| 45 | +// TESTS // |
| 46 | + |
| 47 | +tape( 'main export is a function', opts, function test( t ) { |
| 48 | + t.ok( true, __filename ); |
| 49 | + t.strictEqual( typeof kurtosis, 'function', 'main export is a function' ); |
| 50 | + t.end(); |
| 51 | +}); |
| 52 | + |
| 53 | +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', opts, function test( t ) { |
| 54 | + var v = kurtosis( NaN, 10, 4 ); |
| 55 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 56 | + |
| 57 | + v = kurtosis( 20, NaN, 4 ); |
| 58 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 59 | + |
| 60 | + v = kurtosis( 20, 10, NaN ); |
| 61 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 62 | + |
| 63 | + t.end(); |
| 64 | +}); |
| 65 | + |
| 66 | +tape( 'if provided an `N` which is not a nonnegative integer, the function returns `NaN`', opts, function test( t ) { |
| 67 | + var v; |
| 68 | + |
| 69 | + v = kurtosis( 10.5, 4, 2 ); |
| 70 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 71 | + |
| 72 | + v = kurtosis( -2, 4, 2 ); |
| 73 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 74 | + |
| 75 | + v = kurtosis( -1, 4, 2 ); |
| 76 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 77 | + |
| 78 | + v = kurtosis( 20.5, 10, 5 ); |
| 79 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 80 | + |
| 81 | + v = kurtosis( PINF, 10, 5 ); |
| 82 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 83 | + |
| 84 | + t.end(); |
| 85 | +}); |
| 86 | + |
| 87 | +tape( 'if provided an `K` which is not a nonnegative integer, the function returns `NaN`', opts, function test( t ) { |
| 88 | + var y; |
| 89 | + |
| 90 | + y = kurtosis( 20, 3.5, 10 ); |
| 91 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 92 | + |
| 93 | + y = kurtosis( 20, -2, 10 ); |
| 94 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 95 | + |
| 96 | + y = kurtosis( 20, -1, 10 ); |
| 97 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 98 | + |
| 99 | + y = kurtosis( 20, 2.5, 10 ); |
| 100 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 101 | + |
| 102 | + y = kurtosis( 20, PINF, 10 ); |
| 103 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 104 | + |
| 105 | + t.end(); |
| 106 | +}); |
| 107 | + |
| 108 | +tape( 'if provided an `n` which is not a nonnegative integer, the function returns `NaN`', opts, function test( t ) { |
| 109 | + var y; |
| 110 | + |
| 111 | + y = kurtosis( 40, 20, 3.5 ); |
| 112 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 113 | + |
| 114 | + y = kurtosis( 40, 20, -2 ); |
| 115 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 116 | + |
| 117 | + y = kurtosis( 40, 20, -1 ); |
| 118 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 119 | + |
| 120 | + y = kurtosis( 40, 20, 2.5 ); |
| 121 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 122 | + |
| 123 | + y = kurtosis( 40, 20, PINF ); |
| 124 | + t.equal( isnan( y ), true, 'returns NaN' ); |
| 125 | + |
| 126 | + t.end(); |
| 127 | +}); |
| 128 | + |
| 129 | +tape( 'the function returns the excess kurtosis of a hypergeometric distribution', opts, function test( t ) { |
| 130 | + var expected; |
| 131 | + var delta; |
| 132 | + var tol; |
| 133 | + var N; |
| 134 | + var K; |
| 135 | + var n; |
| 136 | + var y; |
| 137 | + var i; |
| 138 | + |
| 139 | + expected = data.expected; |
| 140 | + N = data.N; |
| 141 | + K = data.K; |
| 142 | + n = data.n; |
| 143 | + for ( i = 0; i < n.length; i++ ) { |
| 144 | + y = kurtosis( N[i], K[i], n[i] ); |
| 145 | + if ( y === expected[i] ) { |
| 146 | + t.equal( y, expected[i], 'N: '+N[i]+', K: '+K[i]+', n: '+n[i]+', y: '+y+', expected: '+expected[i] ); |
| 147 | + } else { |
| 148 | + delta = abs( y - expected[ i ] ); |
| 149 | + tol = 1.0 * EPS * abs( expected[ i ] ); |
| 150 | + t.ok( delta <= tol, 'within tolerance. N: '+N[i]+'. K: '+K[i]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); |
| 151 | + } |
| 152 | + } |
| 153 | + t.end(); |
| 154 | +}); |
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