1 // Copyright 2013 the V8 project authors. All rights reserved. 2 // Redistribution and use in source and binary forms, with or without 3 // modification, are permitted provided that the following conditions are 4 // met: 5 // 6 // * Redistributions of source code must retain the above copyright 7 // notice, this list of conditions and the following disclaimer. 8 // * Redistributions in binary form must reproduce the above 9 // copyright notice, this list of conditions and the following 10 // disclaimer in the documentation and/or other materials provided 11 // with the distribution. 12 // * Neither the name of Google Inc. nor the names of its 13 // contributors may be used to endorse or promote products derived 14 // from this software without specific prior written permission. 15 // 16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR 19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT 20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT 22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE 26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 28 // TODO(3468): we rely on a precise Math.exp. 29 // Flags: --no-fast-math 30 31 [Math.sinh, Math.cosh, Math.tanh, Math.asinh, Math.acosh, Math.atanh]. 32 forEach(function(fun) { 33 assertTrue(isNaN(fun(NaN))); 34 assertTrue(isNaN(fun("abc"))); 35 assertTrue(isNaN(fun({}))); 36 assertEquals(fun(0), fun([])); 37 assertTrue(isNaN(fun([1, 1]))); 38 assertEquals(fun(1.11), fun({ toString: function() { return "1.11"; } })); 39 assertEquals(fun(-3.1), fun({ toString: function() { return -3.1; } })); 40 assertEquals(fun(-1.1), fun({ valueOf: function() { return "-1.1"; } })); 41 assertEquals(fun(3.11), fun({ valueOf: function() { return 3.11; } })); 42 }); 43 44 45 function test_id(fun, rev, value) { 46 assertEqualsDelta(1, rev(fun(value))/value, 1E-7); 47 } 48 49 [Math.PI, 2, 5, 1E-5, 0.3].forEach(function(x) { 50 test_id(Math.sinh, Math.asinh, x); 51 test_id(Math.sinh, Math.asinh, -x); 52 test_id(Math.cosh, Math.acosh, x); 53 test_id(Math.tanh, Math.atanh, x); 54 test_id(Math.tanh, Math.atanh, -x); 55 }); 56 57 58 [Math.sinh, Math.asinh, Math.tanh, Math.atanh].forEach(function(fun) { 59 assertEquals("-Infinity", String(1/fun(-0))); 60 assertEquals("Infinity", String(1/fun(0))); 61 }); 62 63 64 [Math.sinh, Math.asinh].forEach(function(fun) { 65 assertEquals("-Infinity", String(fun(-Infinity))); 66 assertEquals("Infinity", String(fun(Infinity))); 67 assertEquals("-Infinity", String(fun("-Infinity"))); 68 assertEquals("Infinity", String(fun("Infinity"))); 69 }); 70 71 72 assertEquals(Infinity, Math.cosh(-Infinity)); 73 assertEquals(Infinity, Math.cosh(Infinity)); 74 assertEquals(Infinity, Math.cosh("-Infinity")); 75 assertEquals(Infinity, Math.cosh("Infinity")); 76 77 78 assertEquals(-Infinity, Math.atanh(-1)); 79 assertEquals(Infinity, Math.atanh(1)); 80 81 // Math.atanh(x) is NaN for |x| > 1 and NaN 82 [1.000000000001, Math.PI, 10000000, 2, Infinity, NaN].forEach(function(x) { 83 assertTrue(isNaN(Math.atanh(-x))); 84 assertTrue(isNaN(Math.atanh(x))); 85 }); 86 87 88 assertEquals(0, Math.sinh(0)); 89 assertEquals(-Infinity, 1/Math.sinh(-0)); 90 assertEquals(1, Math.tanh(Infinity)); 91 assertEquals(-1, Math.tanh(-Infinity)); 92 assertEquals(1, Math.cosh(0)); 93 assertEquals(1, Math.cosh(-0)); 94 95 assertEquals(0, Math.acosh(1)); 96 assertEquals("Infinity", String(Math.acosh(Infinity))); 97 98 // Math.acosh(x) is NaN for x < 1 99 [0.99999999999, 0.2, -1000, 0, -0].forEach(function(x) { 100 assertTrue(isNaN(Math.acosh(x))); 101 }); 102 103 104 // Some random samples. 105 assertEqualsDelta(74.20321057778875, Math.sinh(5), 1E-12); 106 assertEqualsDelta(-74.20321057778875, Math.sinh(-5), 1E-12); 107 108 assertEqualsDelta(1.1276259652063807, Math.cosh(0.5), 1E-12); 109 assertEqualsDelta(74.20994852478785, Math.cosh(5), 1E-12); 110 assertEqualsDelta(1.1276259652063807, Math.cosh(-0.5), 1E-12); 111 assertEqualsDelta(74.20994852478785, Math.cosh(-5), 1E-12); 112 113 assertEqualsDelta(0.4621171572600, Math.tanh(0.5), 1E-12); 114 assertEqualsDelta(0.9999092042625, Math.tanh(5), 1E-12); 115 assertEqualsDelta(-0.4621171572600, Math.tanh(-0.5), 1E-12); 116 assertEqualsDelta(-0.9999092042625, Math.tanh(-5), 1E-12); 117 118 assertEqualsDelta(0.4812118250596, Math.asinh(0.5), 1E-12); 119 assertEqualsDelta(2.3124383412727, Math.asinh(5), 1E-12); 120 assertEqualsDelta(-0.4812118250596, Math.asinh(-0.5), 1E-12); 121 assertEqualsDelta(-2.3124383412727, Math.asinh(-5), 1E-12); 122 123 assertEqualsDelta(0.9624236501192, Math.acosh(1.5), 1E-12); 124 assertEqualsDelta(2.2924316695612, Math.acosh(5), 1E-12); 125 assertEqualsDelta(0.4435682543851, Math.acosh(1.1), 1E-12); 126 assertEqualsDelta(1.3169578969248, Math.acosh(2), 1E-12); 127 128 assertEqualsDelta(0.5493061443341, Math.atanh(0.5), 1E-12); 129 assertEqualsDelta(0.1003353477311, Math.atanh(0.1), 1E-12); 130 assertEqualsDelta(-0.5493061443341, Math.atanh(-0.5), 1E-12); 131 assertEqualsDelta(-0.1003353477311, Math.atanh(-0.1), 1E-12); 132 133 [0, 1E-50, 1E-10, 1E10, 1E50, 1E100, 1E150].forEach(function(x) { 134 assertEqualsDelta(Math.asinh(x), -Math.asinh(-x), 1E-12); 135 }); 136 137 [1-(1E-16), 0, 1E-10, 1E-50].forEach(function(x) { 138 assertEqualsDelta(Math.atanh(x), -Math.atanh(-x), 1E-12); 139 }); 140 141 142 // Implementation-specific tests for sinh. 143 // Case |x| < 2^-28 144 assertEquals(Math.pow(2, -29), Math.sinh(Math.pow(2, -29))); 145 assertEquals(-Math.pow(2, -29), Math.sinh(-Math.pow(2, -29))); 146 // Case |x| < 1 147 assertEquals(0.5210953054937474, Math.sinh(0.5)); 148 assertEquals(-0.5210953054937474, Math.sinh(-0.5)); 149 // sinh(10*log(2)) = 1048575/2048, case |x| < 22 150 assertEquals(1048575/2048, Math.sinh(10*Math.LN2)); 151 assertEquals(-1048575/2048, Math.sinh(-10*Math.LN2)); 152 // Case |x| < 22 153 assertEquals(11013.232874703393, Math.sinh(10)); 154 assertEquals(-11013.232874703393, Math.sinh(-10)); 155 // Case |x| in [22, log(maxdouble)] 156 assertEquals(2.1474836479999983e9, Math.sinh(32*Math.LN2)); 157 assertEquals(-2.1474836479999983e9, Math.sinh(-32*Math.LN2)); 158 // Case |x| in [22, log(maxdouble)] 159 assertEquals(1.3440585709080678e43, Math.sinh(100)); 160 assertEquals(-1.3440585709080678e43, Math.sinh(-100)); 161 // No overflow, case |x| in [log(maxdouble), threshold] 162 assertEquals(1.7976931348621744e308, Math.sinh(710.4758600739439)); 163 assertEquals(-1.7976931348621744e308, Math.sinh(-710.4758600739439)); 164 // Overflow, case |x| > threshold 165 assertEquals(Infinity, Math.sinh(710.475860073944)); 166 assertEquals(-Infinity, Math.sinh(-710.475860073944)); 167 assertEquals(Infinity, Math.sinh(1000)); 168 assertEquals(-Infinity, Math.sinh(-1000)); 169 170 // Implementation-specific tests for cosh. 171 // Case |x| < 2^-55 172 assertEquals(1, Math.cosh(Math.pow(2, -56))); 173 assertEquals(1, Math.cosh(-Math.pow(2, -56))); 174 // Case |x| < 1/2*log(2). cosh(Math.LN2/4) = (sqrt(2)+1)/2^(5/4) 175 assertEquals(1.0150517651282178, Math.cosh(Math.LN2/4)); 176 assertEquals(1.0150517651282178, Math.cosh(-Math.LN2/4)); 177 // Case 1/2*log(2) < |x| < 22. cosh(10*Math.LN2) = 1048577/2048 178 assertEquals(512.00048828125, Math.cosh(10*Math.LN2)); 179 assertEquals(512.00048828125, Math.cosh(-10*Math.LN2)); 180 // Case 22 <= |x| < log(maxdouble) 181 assertEquals(2.1474836479999983e9, Math.cosh(32*Math.LN2)); 182 assertEquals(2.1474836479999983e9, Math.cosh(-32*Math.LN2)); 183 // Case log(maxdouble) <= |x| <= overflowthreshold 184 assertEquals(1.7976931348621744e308, Math.cosh(710.4758600739439)); 185 assertEquals(1.7976931348621744e308, Math.cosh(-710.4758600739439)); 186 // Overflow. 187 assertEquals(Infinity, Math.cosh(710.475860073944)); 188 assertEquals(Infinity, Math.cosh(-710.475860073944)); 189
