// Copyright 2013 the V8 project authors. All rights reserved. // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following // disclaimer in the documentation and/or other materials provided // with the distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // TODO(3468): we rely on a precise Math.exp. // Flags: --no-fast-math [Math.sinh, Math.cosh, Math.tanh, Math.asinh, Math.acosh, Math.atanh]. forEach(function(fun) { assertTrue(isNaN(fun(NaN))); assertTrue(isNaN(fun("abc"))); assertTrue(isNaN(fun({}))); assertEquals(fun(0), fun([])); assertTrue(isNaN(fun([1, 1]))); assertEquals(fun(1.11), fun({ toString: function() { return "1.11"; } })); assertEquals(fun(-3.1), fun({ toString: function() { return -3.1; } })); assertEquals(fun(-1.1), fun({ valueOf: function() { return "-1.1"; } })); assertEquals(fun(3.11), fun({ valueOf: function() { return 3.11; } })); }); function test_id(fun, rev, value) { assertEqualsDelta(1, rev(fun(value))/value, 1E-7); } [Math.PI, 2, 5, 1E-5, 0.3].forEach(function(x) { test_id(Math.sinh, Math.asinh, x); test_id(Math.sinh, Math.asinh, -x); test_id(Math.cosh, Math.acosh, x); test_id(Math.tanh, Math.atanh, x); test_id(Math.tanh, Math.atanh, -x); }); [Math.sinh, Math.asinh, Math.tanh, Math.atanh].forEach(function(fun) { assertEquals("-Infinity", String(1/fun(-0))); assertEquals("Infinity", String(1/fun(0))); }); [Math.sinh, Math.asinh].forEach(function(fun) { assertEquals("-Infinity", String(fun(-Infinity))); assertEquals("Infinity", String(fun(Infinity))); assertEquals("-Infinity", String(fun("-Infinity"))); assertEquals("Infinity", String(fun("Infinity"))); }); assertEquals(Infinity, Math.cosh(-Infinity)); assertEquals(Infinity, Math.cosh(Infinity)); assertEquals(Infinity, Math.cosh("-Infinity")); assertEquals(Infinity, Math.cosh("Infinity")); assertEquals(-Infinity, Math.atanh(-1)); assertEquals(Infinity, Math.atanh(1)); // Math.atanh(x) is NaN for |x| > 1 and NaN [1.000000000001, Math.PI, 10000000, 2, Infinity, NaN].forEach(function(x) { assertTrue(isNaN(Math.atanh(-x))); assertTrue(isNaN(Math.atanh(x))); }); assertEquals(0, Math.sinh(0)); assertEquals(-Infinity, 1/Math.sinh(-0)); assertEquals(1, Math.tanh(Infinity)); assertEquals(-1, Math.tanh(-Infinity)); assertEquals(1, Math.cosh(0)); assertEquals(1, Math.cosh(-0)); assertEquals(0, Math.acosh(1)); assertEquals("Infinity", String(Math.acosh(Infinity))); // Math.acosh(x) is NaN for x < 1 [0.99999999999, 0.2, -1000, 0, -0].forEach(function(x) { assertTrue(isNaN(Math.acosh(x))); }); // Some random samples. assertEqualsDelta(74.20321057778875, Math.sinh(5), 1E-12); assertEqualsDelta(-74.20321057778875, Math.sinh(-5), 1E-12); assertEqualsDelta(1.1276259652063807, Math.cosh(0.5), 1E-12); assertEqualsDelta(74.20994852478785, Math.cosh(5), 1E-12); assertEqualsDelta(1.1276259652063807, Math.cosh(-0.5), 1E-12); assertEqualsDelta(74.20994852478785, Math.cosh(-5), 1E-12); assertEqualsDelta(0.4621171572600, Math.tanh(0.5), 1E-12); assertEqualsDelta(0.9999092042625, Math.tanh(5), 1E-12); assertEqualsDelta(-0.4621171572600, Math.tanh(-0.5), 1E-12); assertEqualsDelta(-0.9999092042625, Math.tanh(-5), 1E-12); assertEqualsDelta(0.4812118250596, Math.asinh(0.5), 1E-12); assertEqualsDelta(2.3124383412727, Math.asinh(5), 1E-12); assertEqualsDelta(-0.4812118250596, Math.asinh(-0.5), 1E-12); assertEqualsDelta(-2.3124383412727, Math.asinh(-5), 1E-12); assertEqualsDelta(0.9624236501192, Math.acosh(1.5), 1E-12); assertEqualsDelta(2.2924316695612, Math.acosh(5), 1E-12); assertEqualsDelta(0.4435682543851, Math.acosh(1.1), 1E-12); assertEqualsDelta(1.3169578969248, Math.acosh(2), 1E-12); assertEqualsDelta(0.5493061443341, Math.atanh(0.5), 1E-12); assertEqualsDelta(0.1003353477311, Math.atanh(0.1), 1E-12); assertEqualsDelta(-0.5493061443341, Math.atanh(-0.5), 1E-12); assertEqualsDelta(-0.1003353477311, Math.atanh(-0.1), 1E-12); [0, 1E-50, 1E-10, 1E10, 1E50, 1E100, 1E150].forEach(function(x) { assertEqualsDelta(Math.asinh(x), -Math.asinh(-x), 1E-12); }); [1-(1E-16), 0, 1E-10, 1E-50].forEach(function(x) { assertEqualsDelta(Math.atanh(x), -Math.atanh(-x), 1E-12); }); // Implementation-specific tests for sinh. // Case |x| < 2^-28 assertEquals(Math.pow(2, -29), Math.sinh(Math.pow(2, -29))); assertEquals(-Math.pow(2, -29), Math.sinh(-Math.pow(2, -29))); // Case |x| < 1 assertEquals(0.5210953054937474, Math.sinh(0.5)); assertEquals(-0.5210953054937474, Math.sinh(-0.5)); // sinh(10*log(2)) = 1048575/2048, case |x| < 22 assertEquals(1048575/2048, Math.sinh(10*Math.LN2)); assertEquals(-1048575/2048, Math.sinh(-10*Math.LN2)); // Case |x| < 22 assertEquals(11013.232874703393, Math.sinh(10)); assertEquals(-11013.232874703393, Math.sinh(-10)); // Case |x| in [22, log(maxdouble)] assertEquals(2.1474836479999983e9, Math.sinh(32*Math.LN2)); assertEquals(-2.1474836479999983e9, Math.sinh(-32*Math.LN2)); // Case |x| in [22, log(maxdouble)] assertEquals(1.3440585709080678e43, Math.sinh(100)); assertEquals(-1.3440585709080678e43, Math.sinh(-100)); // No overflow, case |x| in [log(maxdouble), threshold] assertEquals(1.7976931348621744e308, Math.sinh(710.4758600739439)); assertEquals(-1.7976931348621744e308, Math.sinh(-710.4758600739439)); // Overflow, case |x| > threshold assertEquals(Infinity, Math.sinh(710.475860073944)); assertEquals(-Infinity, Math.sinh(-710.475860073944)); assertEquals(Infinity, Math.sinh(1000)); assertEquals(-Infinity, Math.sinh(-1000)); // Implementation-specific tests for cosh. // Case |x| < 2^-55 assertEquals(1, Math.cosh(Math.pow(2, -56))); assertEquals(1, Math.cosh(-Math.pow(2, -56))); // Case |x| < 1/2*log(2). cosh(Math.LN2/4) = (sqrt(2)+1)/2^(5/4) assertEquals(1.0150517651282178, Math.cosh(Math.LN2/4)); assertEquals(1.0150517651282178, Math.cosh(-Math.LN2/4)); // Case 1/2*log(2) < |x| < 22. cosh(10*Math.LN2) = 1048577/2048 assertEquals(512.00048828125, Math.cosh(10*Math.LN2)); assertEquals(512.00048828125, Math.cosh(-10*Math.LN2)); // Case 22 <= |x| < log(maxdouble) assertEquals(2.1474836479999983e9, Math.cosh(32*Math.LN2)); assertEquals(2.1474836479999983e9, Math.cosh(-32*Math.LN2)); // Case log(maxdouble) <= |x| <= overflowthreshold assertEquals(1.7976931348621744e308, Math.cosh(710.4758600739439)); assertEquals(1.7976931348621744e308, Math.cosh(-710.4758600739439)); // Overflow. assertEquals(Infinity, Math.cosh(710.475860073944)); assertEquals(Infinity, Math.cosh(-710.475860073944));