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| 1 | +/** |
| 2 | +* @license Apache-2.0 |
| 3 | +* |
| 4 | +* Copyright (c) 2024 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' ); |
| 25 | +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); |
| 26 | +var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' ); |
| 27 | +var abs = require( '@stdlib/math/base/special/abs' ); |
| 28 | +var EPS = require( '@stdlib/constants/float64/eps' ); |
| 29 | +var PINF = require( '@stdlib/constants/float64/pinf' ); |
| 30 | +var NINF = require( '@stdlib/constants/float64/ninf' ); |
| 31 | +var PI = require( '@stdlib/constants/float64/pi' ); |
| 32 | +var atan2f = require( './../lib' ); |
| 33 | + |
| 34 | + |
| 35 | +// FIXTURES // |
| 36 | + |
| 37 | +var positivePositive = require( './fixtures/julia/positive_positive.json' ); |
| 38 | +var negativePositive = require( './fixtures/julia/negative_positive.json' ); |
| 39 | +var negativeNegative = require( './fixtures/julia/negative_negative.json' ); |
| 40 | + |
| 41 | + |
| 42 | +// TESTS // |
| 43 | + |
| 44 | +tape( 'main export is a function', function test( t ) { |
| 45 | + t.ok( true, __filename ); |
| 46 | + t.strictEqual( typeof atan2f, 'function', 'main export is a function' ); |
| 47 | + t.end(); |
| 48 | +}); |
| 49 | + |
| 50 | +tape( 'the function has two parameters: a numerator and a denominator value', function test( t ) { |
| 51 | + t.equal( atan2f.length, 2.0, 'arity is 2' ); |
| 52 | + t.end(); |
| 53 | +}); |
| 54 | + |
| 55 | +tape( 'the function returns `NaN` if provided `NaN` as either of the arguments', function test( t ) { |
| 56 | + t.equal( isnanf( atan2f( 2.0, NaN ) ), true, 'returns NaN' ); |
| 57 | + t.equal( isnanf( atan2f( NaN, 3.0 ) ), true, 'returns NaN' ); |
| 58 | + t.end(); |
| 59 | +}); |
| 60 | + |
| 61 | +tape( 'the function returns `+0` if provided `y = +0.0` and `x >= 0`', function test( t ) { |
| 62 | + t.equal( isPositiveZero( atan2f( +0.0, 0.0 ) ), true, 'returns +0' ); |
| 63 | + t.equal( isPositiveZero( atan2f( +0.0, 2.0 ) ), true, 'returns +0' ); |
| 64 | + t.equal( isPositiveZero( atan2f( +0.0, 4.0 ) ), true, 'returns +0' ); |
| 65 | + t.equal( isPositiveZero( atan2f( +0.0, 5.0 ) ), true, 'returns +0' ); |
| 66 | + t.equal( isPositiveZero( atan2f( +0.0, 10.0 ) ), true, 'returns +0' ); |
| 67 | + t.end(); |
| 68 | +}); |
| 69 | + |
| 70 | +tape( 'the function returns `-0` if provided `y = -0.0` and `x >= 0`', function test( t ) { |
| 71 | + t.equal( isNegativeZero( atan2f( -0.0, 0.0 ) ), true, 'returns -0' ); |
| 72 | + t.equal( isNegativeZero( atan2f( -0.0, 2.0 ) ), true, 'returns -0' ); |
| 73 | + t.equal( isNegativeZero( atan2f( -0.0, 4.0 ) ), true, 'returns -0' ); |
| 74 | + t.equal( isNegativeZero( atan2f( -0.0, 5.0 ) ), true, 'returns -0' ); |
| 75 | + t.equal( isNegativeZero( atan2f( -0.0, 10.0 ) ), true, 'returns -0' ); |
| 76 | + t.end(); |
| 77 | +}); |
| 78 | + |
| 79 | +tape( 'the function returns `PI` if provided `y = +0.0` and `x <= -0.0`', function test( t ) { |
| 80 | + t.equal( atan2f( +0.0, -0.0 ), +PI, 'returns +PI' ); |
| 81 | + t.equal( atan2f( +0.0, -2.0 ), +PI, 'returns +PI' ); |
| 82 | + t.equal( atan2f( +0.0, -4.0 ), +PI, 'returns +PI' ); |
| 83 | + t.equal( atan2f( +0.0, -5.0 ), +PI, 'returns +PI' ); |
| 84 | + t.equal( atan2f( +0.0, -10.0 ), +PI, 'returns +PI' ); |
| 85 | + t.end(); |
| 86 | +}); |
| 87 | + |
| 88 | +tape( 'the function returns `-PI` if provided `y = -0.0` and `x <= -0.0`', function test( t ) { |
| 89 | + t.equal( atan2f( -0.0, -0.0 ), -PI, 'returns -PI' ); |
| 90 | + t.equal( atan2f( -0.0, -2.0 ), -PI, 'returns -PI' ); |
| 91 | + t.equal( atan2f( -0.0, -4.0 ), -PI, 'returns -PI' ); |
| 92 | + t.equal( atan2f( -0.0, -5.0 ), -PI, 'returns -PI' ); |
| 93 | + t.equal( atan2f( -0.0, -10.0 ), -PI, 'returns -PI' ); |
| 94 | + t.end(); |
| 95 | +}); |
| 96 | + |
| 97 | +tape( 'the function returns `+PI/4` if provided `x = y = +infinity`', function test( t ) { |
| 98 | + t.equal( atan2f( PINF, PINF ), +PI/4.0, 'returns +PI/4' ); |
| 99 | + t.end(); |
| 100 | +}); |
| 101 | + |
| 102 | +tape( 'the function returns `-PI/4` if provided `x = -y = +infinity`', function test( t ) { |
| 103 | + t.equal( atan2f( NINF, PINF ), -PI/4.0, 'returns -PI/4' ); |
| 104 | + t.end(); |
| 105 | +}); |
| 106 | + |
| 107 | +tape( 'the function returns `*3*PI/4` if provided `-x = y = +infinity`', function test( t ) { |
| 108 | + t.equal( atan2f( PINF, NINF ), +3.0*PI/4.0, 'returns +3*PI/4' ); |
| 109 | + t.end(); |
| 110 | +}); |
| 111 | + |
| 112 | +tape( 'the function returns `-3*PI/4` if provided `x = y = -infinity`', function test( t ) { |
| 113 | + t.equal( atan2f( NINF, NINF ), -3.0*PI/4.0, 'returns -3*PI/4' ); |
| 114 | + t.end(); |
| 115 | +}); |
| 116 | + |
| 117 | +tape( 'the function returns `0.0` when `x = +infinity`', function test( t ) { |
| 118 | + t.equal( atan2f( -2.0, PINF ), 0.0, 'returns 0.0' ); |
| 119 | + t.equal( atan2f( 0.0, PINF ), 0.0, 'returns 0.0' ); |
| 120 | + t.equal( atan2f( 2.0, PINF ), 0.0, 'returns 0.0' ); |
| 121 | + t.end(); |
| 122 | +}); |
| 123 | + |
| 124 | +tape( 'the function returns `+PI` when `y > 0` and `x = -infinity`', function test( t ) { |
| 125 | + t.equal( atan2f( 1.0, NINF ), PI, 'returns PI' ); |
| 126 | + t.equal( atan2f( 2.0, NINF ), PI, 'returns PI' ); |
| 127 | + t.equal( atan2f( 3.0, NINF ), PI, 'returns PI' ); |
| 128 | + t.end(); |
| 129 | +}); |
| 130 | + |
| 131 | +tape( 'the function returns `-PI` when `y < 0` and `x = -infinity`', function test( t ) { |
| 132 | + t.equal( atan2f( -1.0, NINF ), -PI, 'returns -PI' ); |
| 133 | + t.equal( atan2f( -2.0, NINF ), -PI, 'returns -PI' ); |
| 134 | + t.equal( atan2f( -3.0, NINF ), -PI, 'returns -PI' ); |
| 135 | + t.end(); |
| 136 | +}); |
| 137 | + |
| 138 | +tape( 'the function returns `+PI/2` when `y = +infinity`', function test( t ) { |
| 139 | + t.equal( atan2f( PINF, -1.0 ), PI/2.0, 'returns PI/2' ); |
| 140 | + t.equal( atan2f( PINF, 0.0 ), PI/2.0, 'returns PI/2' ); |
| 141 | + t.equal( atan2f( PINF, 2.0 ), PI/2.0, 'returns PI/2' ); |
| 142 | + t.end(); |
| 143 | +}); |
| 144 | + |
| 145 | +tape( 'the function returns `-PI/2` when `y = -infinity`', function test( t ) { |
| 146 | + t.equal( atan2f( NINF, -1.0 ), -PI/2.0, 'returns -PI/2' ); |
| 147 | + t.equal( atan2f( NINF, 0.0 ), -PI/2.0, 'returns -PI/2' ); |
| 148 | + t.equal( atan2f( NINF, 2.0 ), -PI/2.0, 'returns -PI/2' ); |
| 149 | + t.end(); |
| 150 | +}); |
| 151 | + |
| 152 | +tape( 'the function returns `PI/2` if provided a positive `y` and `x=0`', function test( t ) { |
| 153 | + t.equal( atan2f( 2.0, 0.0 ), PI/2.0, 'returns PI/2' ); |
| 154 | + t.equal( atan2f( 1.0, 0.0 ), PI/2.0, 'returns PI/2' ); |
| 155 | + t.equal( atan2f( 0.5, 0.0 ), PI/2.0, 'returns PI/2' ); |
| 156 | + t.end(); |
| 157 | +}); |
| 158 | + |
| 159 | +tape( 'the function returns `-PI/2` if provided a negative `y` and `x=0`', function test( t ) { |
| 160 | + t.equal( atan2f( -2.0, 0.0 ), -PI/2.0, 'returns PI/2' ); |
| 161 | + t.equal( atan2f( -1.0, 0.0 ), -PI/2.0, 'returns PI/2' ); |
| 162 | + t.equal( atan2f( -0.5, 0.0 ), -PI/2.0, 'returns PI/2' ); |
| 163 | + t.end(); |
| 164 | +}); |
| 165 | + |
| 166 | +tape( 'the function evaluates the `atan2` function (when x and y are positive)', function test( t ) { |
| 167 | + var expected; |
| 168 | + var actual; |
| 169 | + var delta; |
| 170 | + var tol; |
| 171 | + var x; |
| 172 | + var y; |
| 173 | + var i; |
| 174 | + |
| 175 | + y = positivePositive.y; |
| 176 | + x = positivePositive.x; |
| 177 | + expected = positivePositive.expected; |
| 178 | + for ( i = 0; i < x.length; i++ ) { |
| 179 | + actual = atan2f( y[i], x[i] ); |
| 180 | + delta = abs( actual - expected[i] ); |
| 181 | + tol = EPS * abs( expected[i] ); |
| 182 | + t.equal( delta <= tol, true, 'within tolerance. y: '+y[i]+'. x: '+x[i]+'. Actual: '+actual+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); |
| 183 | + } |
| 184 | + t.end(); |
| 185 | +}); |
| 186 | + |
| 187 | +tape( 'the function evaluates the `atan2` function (when x is negative and y is positive)', function test( t ) { |
| 188 | + var expected; |
| 189 | + var actual; |
| 190 | + var delta; |
| 191 | + var tol; |
| 192 | + var x; |
| 193 | + var y; |
| 194 | + var i; |
| 195 | + |
| 196 | + y = negativePositive.y; |
| 197 | + x = negativePositive.x; |
| 198 | + expected = negativePositive.expected; |
| 199 | + for ( i = 0; i < x.length; i++ ) { |
| 200 | + actual = atan2f( y[i], x[i] ); |
| 201 | + delta = abs( actual - expected[i] ); |
| 202 | + tol = 2.0 * EPS * abs( expected[i] ); |
| 203 | + t.equal( delta <= tol, true, 'within tolerance. y: '+y[i]+'. x: '+x[i]+'. Actual: '+actual+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); |
| 204 | + } |
| 205 | + t.end(); |
| 206 | +}); |
| 207 | + |
| 208 | +tape( 'the function evaluates the `atan2` function (when x and y are negative)', function test( t ) { |
| 209 | + var expected; |
| 210 | + var actual; |
| 211 | + var delta; |
| 212 | + var tol; |
| 213 | + var x; |
| 214 | + var y; |
| 215 | + var i; |
| 216 | + |
| 217 | + y = negativeNegative.y; |
| 218 | + x = negativeNegative.x; |
| 219 | + expected = negativeNegative.expected; |
| 220 | + for ( i = 0; i < x.length; i++ ) { |
| 221 | + actual = atan2f( y[i], x[i] ); |
| 222 | + delta = abs( actual - expected[i] ); |
| 223 | + tol = 2.0 * EPS * abs( expected[i] ); |
| 224 | + t.equal( delta <= tol, true, 'within tolerance. y: '+y[i]+'. x: '+x[i]+'. Actual: '+actual+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); |
| 225 | + } |
| 226 | + t.end(); |
| 227 | +}); |
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