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| 1 | +/** |
| 2 | +* @license Apache-2.0 |
| 3 | +* |
| 4 | +* Copyright (c) 2018 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 tape = require( 'tape' ); |
| 24 | +var isnan = require( '@stdlib/math/base/assert/is-nan' ); |
| 25 | +var PINF = require( '@stdlib/constants/float64/pinf' ); |
| 26 | +var NINF = require( '@stdlib/constants/float64/ninf' ); |
| 27 | +var EPS = require( '@stdlib/constants/float64/eps' ); |
| 28 | +var abs = require( '@stdlib/math/base/special/abs' ); |
| 29 | +var cosc = require( './../lib' ); |
| 30 | + |
| 31 | + |
| 32 | +// FIXTURES // |
| 33 | + |
| 34 | +var data = require( './fixtures/julia/data.json' ); |
| 35 | +var largeNegative = require( './fixtures/julia/large_negative.json' ); |
| 36 | +var largePositive = require( './fixtures/julia/large_positive.json' ); |
| 37 | +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); |
| 38 | +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); |
| 39 | + |
| 40 | + |
| 41 | +// TESTS // |
| 42 | + |
| 43 | +tape( 'main export is a function', function test( t ) { |
| 44 | + t.ok( true, __filename ); |
| 45 | + t.strictEqual( typeof sinc, 'function', 'main export is a function' ); |
| 46 | + t.end(); |
| 47 | +}); |
| 48 | + |
| 49 | +tape( 'the function computes the derivative of cardinal sine', function test( t ) { |
| 50 | + var expected; |
| 51 | + var delta; |
| 52 | + var tol; |
| 53 | + var x; |
| 54 | + var y; |
| 55 | + var i; |
| 56 | + |
| 57 | + x = data.x; |
| 58 | + expected = data.expected; |
| 59 | + |
| 60 | + for ( i = 0; i < x.length; i++ ) { |
| 61 | + y = cosc( x[i] ); |
| 62 | + if ( y === expected[ i ] ) { |
| 63 | + t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] ); |
| 64 | + } else { |
| 65 | + delta = abs( y - expected[i] ); |
| 66 | + tol = 2.0 * EPS * abs( expected[i] ); |
| 67 | + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' ); |
| 68 | + } |
| 69 | + } |
| 70 | + t.end(); |
| 71 | +}); |
| 72 | + |
| 73 | +tape( 'the function computes the derivative of cardinal sine (large negative)', function test( t ) { |
| 74 | + var expected; |
| 75 | + var delta; |
| 76 | + var tol; |
| 77 | + var x; |
| 78 | + var y; |
| 79 | + var i; |
| 80 | + |
| 81 | + x = largeNegative.x; |
| 82 | + expected = largeNegative.expected; |
| 83 | + |
| 84 | + for ( i = 0; i < x.length; i++ ) { |
| 85 | + y = cosc( x[i] ); |
| 86 | + if ( y === expected[ i ] ) { |
| 87 | + t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] ); |
| 88 | + } else { |
| 89 | + delta = abs( y - expected[i] ); |
| 90 | + tol = 2.0 * EPS * abs( expected[i] ); |
| 91 | + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' ); |
| 92 | + } |
| 93 | + } |
| 94 | + t.end(); |
| 95 | +}); |
| 96 | + |
| 97 | +tape( 'the function computes the derivative of cardinal sine (large positive)', function test( t ) { |
| 98 | + var expected; |
| 99 | + var delta; |
| 100 | + var tol; |
| 101 | + var x; |
| 102 | + var y; |
| 103 | + var i; |
| 104 | + |
| 105 | + x = largePositive.x; |
| 106 | + expected = largePositive.expected; |
| 107 | + |
| 108 | + for ( i = 0; i < x.length; i++ ) { |
| 109 | + y = cosc( x[i] ); |
| 110 | + if ( y === expected[ i ] ) { |
| 111 | + t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] ); |
| 112 | + } else { |
| 113 | + delta = abs( y - expected[i] ); |
| 114 | + tol = 2.0 * EPS * abs( expected[i] ); |
| 115 | + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' ); |
| 116 | + } |
| 117 | + } |
| 118 | + t.end(); |
| 119 | +}); |
| 120 | + |
| 121 | +tape( 'the function computes the derivative of cardinal sine (tiny negative)', function test( t ) { |
| 122 | + var expected; |
| 123 | + var delta; |
| 124 | + var tol; |
| 125 | + var x; |
| 126 | + var y; |
| 127 | + var i; |
| 128 | + |
| 129 | + x = tinyNegative.x; |
| 130 | + expected = tinyNegative.expected; |
| 131 | + |
| 132 | + for ( i = 0; i < x.length; i++ ) { |
| 133 | + y = cosc( x[i] ); |
| 134 | + if ( y === expected[ i ] ) { |
| 135 | + t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] ); |
| 136 | + } else { |
| 137 | + delta = abs( y - expected[i] ); |
| 138 | + tol = EPS * abs( expected[i] ); |
| 139 | + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' ); |
| 140 | + } |
| 141 | + } |
| 142 | + t.end(); |
| 143 | +}); |
| 144 | + |
| 145 | +tape( 'the function computes the derivative of cardinal sine (tiny positive)', function test( t ) { |
| 146 | + var expected; |
| 147 | + var delta; |
| 148 | + var tol; |
| 149 | + var x; |
| 150 | + var y; |
| 151 | + var i; |
| 152 | + |
| 153 | + x = tinyPositive.x; |
| 154 | + expected = tinyPositive.expected; |
| 155 | + |
| 156 | + for ( i = 0; i < x.length; i++ ) { |
| 157 | + y = cosc( x[i] ); |
| 158 | + if ( y === expected[ i ] ) { |
| 159 | + t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] ); |
| 160 | + } else { |
| 161 | + delta = abs( y - expected[i] ); |
| 162 | + tol = EPS * abs( expected[i] ); |
| 163 | + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' ); |
| 164 | + } |
| 165 | + } |
| 166 | + t.end(); |
| 167 | +}); |
| 168 | + |
| 169 | +tape( 'the function returns `NaN` if provided a `NaN`', function test( t ) { |
| 170 | + var v = cosc( NaN ); |
| 171 | + t.equal( isnan( v ), true, 'returns NaN' ); |
| 172 | + t.end(); |
| 173 | +}); |
| 174 | + |
| 175 | +tape( 'the function returns `0.0` if provided `0.0`', function test( t ) { |
| 176 | + var v = cosc( 0.0 ); |
| 177 | + t.equal( v, 0.0, 'returns 0.0' ); |
| 178 | + t.end(); |
| 179 | +}); |
| 180 | + |
| 181 | +tape( 'the function returns `0.0` if provided positive or negative infinity', function test( t ) { |
| 182 | + var v = cosc( PINF ); |
| 183 | + t.equal( v, 0.0, 'returns 0.0' ); |
| 184 | + |
| 185 | + v = cosc( NINF ); |
| 186 | + t.equal( v, 0.0, 'returns 0.0' ); |
| 187 | + t.end(); |
| 188 | +}); |
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