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			207 lines
		
	
	
		
			8.2 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
			
		
		
	
	
			207 lines
		
	
	
		
			8.2 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
| // Copyright 2013 the V8 project authors. All rights reserved.
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| // Redistribution and use in source and binary forms, with or without
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| // modification, are permitted provided that the following conditions are
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| // met:
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| //
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| //     * Redistributions of source code must retain the above copyright
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| //       notice, this list of conditions and the following disclaimer.
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| //     * Redistributions in binary form must reproduce the above
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| //       copyright notice, this list of conditions and the following
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| //       disclaimer in the documentation and/or other materials provided
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| //       with the distribution.
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| //     * Neither the name of Google Inc. nor the names of its
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| //       contributors may be used to endorse or promote products derived
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| //       from this software without specific prior written permission.
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| //
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| // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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| // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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| // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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| // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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| // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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| // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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| // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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| // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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| // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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| 
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| // TODO(3468): we rely on a precise Math.exp.
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| // Flags: --no-fast-math
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| 
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| [Math.sinh, Math.cosh, Math.tanh, Math.asinh, Math.acosh, Math.atanh].
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|     forEach(function(fun) {
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|   assertTrue(isNaN(fun(NaN)));
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|   assertTrue(isNaN(fun("abc")));
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|   assertTrue(isNaN(fun({})));
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|   assertEquals(fun(0), fun([]));
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|   assertTrue(isNaN(fun([1, 1])));
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|   assertEquals(fun(1.11), fun({ toString: function() { return "1.11"; } }));
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|   assertEquals(fun(-3.1), fun({ toString: function() { return -3.1; } }));
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|   assertEquals(fun(-1.1), fun({ valueOf: function() { return "-1.1"; } }));
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|   assertEquals(fun(3.11), fun({ valueOf: function() { return 3.11; } }));
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| });
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| 
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| 
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| function test_id(fun, rev, value) {
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|   assertEqualsDelta(1, rev(fun(value))/value, 1E-7);
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| }
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| 
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| [Math.PI, 2, 5, 1E-5, 0.3].forEach(function(x) {
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|   test_id(Math.sinh, Math.asinh, x);
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|   test_id(Math.sinh, Math.asinh, -x);
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|   test_id(Math.cosh, Math.acosh, x);
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|   test_id(Math.tanh, Math.atanh, x);
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|   test_id(Math.tanh, Math.atanh, -x);
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| });
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| 
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| 
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| [Math.sinh, Math.asinh, Math.tanh, Math.atanh].forEach(function(fun) {
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|   assertEquals("-Infinity", String(1/fun(-0)));
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|   assertEquals("Infinity", String(1/fun(0)));
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| });
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| 
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| 
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| [Math.sinh, Math.asinh].forEach(function(fun) {
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|   assertEquals("-Infinity", String(fun(-Infinity)));
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|   assertEquals("Infinity", String(fun(Infinity)));
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|   assertEquals("-Infinity", String(fun("-Infinity")));
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|   assertEquals("Infinity", String(fun("Infinity")));
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| });
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| 
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| 
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| assertEquals(Infinity, Math.cosh(-Infinity));
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| assertEquals(Infinity, Math.cosh(Infinity));
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| assertEquals(Infinity, Math.cosh("-Infinity"));
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| assertEquals(Infinity, Math.cosh("Infinity"));
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| 
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| 
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| assertEquals(-Infinity, Math.atanh(-1));
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| assertEquals(Infinity, Math.atanh(1));
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| 
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| // Math.atanh(x) is NaN for |x| > 1 and NaN
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| [1.000000000001, Math.PI, 10000000, 2, Infinity, NaN].forEach(function(x) {
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|   assertTrue(isNaN(Math.atanh(-x)));
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|   assertTrue(isNaN(Math.atanh(x)));
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| });
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| 
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| 
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| assertEquals(0, Math.sinh(0));
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| assertEquals(-Infinity, 1/Math.sinh(-0));
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| assertEquals(1, Math.tanh(Infinity));
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| assertEquals(-1, Math.tanh(-Infinity));
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| assertEquals(1, Math.cosh(0));
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| assertEquals(1, Math.cosh(-0));
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| 
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| assertEquals(0, Math.acosh(1));
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| assertEquals("Infinity", String(Math.acosh(Infinity)));
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| 
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| // Math.acosh(x) is NaN for x < 1
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| [0.99999999999, 0.2, -1000, 0, -0].forEach(function(x) {
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|   assertTrue(isNaN(Math.acosh(x)));
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| });
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| 
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| 
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| // Some random samples.
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| assertEqualsDelta(74.20321057778875, Math.sinh(5), 1E-12);
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| assertEqualsDelta(-74.20321057778875, Math.sinh(-5), 1E-12);
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| 
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| assertEqualsDelta(1.1276259652063807, Math.cosh(0.5), 1E-12);
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| assertEqualsDelta(74.20994852478785, Math.cosh(5), 1E-12);
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| assertEqualsDelta(1.1276259652063807, Math.cosh(-0.5), 1E-12);
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| assertEqualsDelta(74.20994852478785, Math.cosh(-5), 1E-12);
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| 
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| assertEqualsDelta(0.4621171572600, Math.tanh(0.5), 1E-12);
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| assertEqualsDelta(0.9999092042625, Math.tanh(5), 1E-12);
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| assertEqualsDelta(-0.4621171572600, Math.tanh(-0.5), 1E-12);
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| assertEqualsDelta(-0.9999092042625, Math.tanh(-5), 1E-12);
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| 
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| assertEqualsDelta(0.4812118250596, Math.asinh(0.5), 1E-12);
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| assertEqualsDelta(2.3124383412727, Math.asinh(5), 1E-12);
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| assertEqualsDelta(-0.4812118250596, Math.asinh(-0.5), 1E-12);
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| assertEqualsDelta(-2.3124383412727, Math.asinh(-5), 1E-12);
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| 
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| assertEqualsDelta(0.9624236501192, Math.acosh(1.5), 1E-12);
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| assertEqualsDelta(2.2924316695612, Math.acosh(5), 1E-12);
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| assertEqualsDelta(0.4435682543851, Math.acosh(1.1), 1E-12);
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| assertEqualsDelta(1.3169578969248, Math.acosh(2), 1E-12);
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| 
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| assertEqualsDelta(0.5493061443341, Math.atanh(0.5), 1E-12);
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| assertEqualsDelta(0.1003353477311, Math.atanh(0.1), 1E-12);
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| assertEqualsDelta(-0.5493061443341, Math.atanh(-0.5), 1E-12);
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| assertEqualsDelta(-0.1003353477311, Math.atanh(-0.1), 1E-12);
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| 
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| [0, 1E-50, 1E-10, 1E10, 1E50, 1E100, 1E150].forEach(function(x) {
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|   assertEqualsDelta(Math.asinh(x), -Math.asinh(-x), 1E-12);
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| });
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| 
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| [1-(1E-16), 0, 1E-10, 1E-50].forEach(function(x) {
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|   assertEqualsDelta(Math.atanh(x), -Math.atanh(-x), 1E-12);
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| });
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| 
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| 
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| // Implementation-specific tests for sinh.
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| // Case |x| < 2^-28
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| assertEquals(Math.pow(2, -29), Math.sinh(Math.pow(2, -29)));
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| assertEquals(-Math.pow(2, -29), Math.sinh(-Math.pow(2, -29)));
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| // Case |x| < 1
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| assertEquals(0.5210953054937474, Math.sinh(0.5));
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| assertEquals(-0.5210953054937474, Math.sinh(-0.5));
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| // sinh(10*log(2)) = 1048575/2048, case |x| < 22
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| assertEquals(1048575/2048, Math.sinh(10*Math.LN2));
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| assertEquals(-1048575/2048, Math.sinh(-10*Math.LN2));
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| // Case |x| < 22
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| assertEquals(11013.232874703393, Math.sinh(10));
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| assertEquals(-11013.232874703393, Math.sinh(-10));
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| // Case |x| in [22, log(maxdouble)]
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| assertEquals(2.1474836479999983e9, Math.sinh(32*Math.LN2));
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| assertEquals(-2.1474836479999983e9, Math.sinh(-32*Math.LN2));
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| // Case |x| in [22, log(maxdouble)]
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| assertEquals(1.3440585709080678e43, Math.sinh(100));
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| assertEquals(-1.3440585709080678e43, Math.sinh(-100));
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| // No overflow, case |x| in [log(maxdouble), threshold]
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| assertEquals(1.7976931348621744e308, Math.sinh(710.4758600739439));
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| assertEquals(-1.7976931348621744e308, Math.sinh(-710.4758600739439));
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| // Overflow, case |x| > threshold
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| assertEquals(Infinity, Math.sinh(710.475860073944));
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| assertEquals(-Infinity, Math.sinh(-710.475860073944));
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| assertEquals(Infinity, Math.sinh(1000));
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| assertEquals(-Infinity, Math.sinh(-1000));
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| 
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| // Implementation-specific tests for cosh.
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| // Case |x| < 2^-55
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| assertEquals(1, Math.cosh(Math.pow(2, -56)));
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| assertEquals(1, Math.cosh(-Math.pow(2, -56)));
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| // Case |x| < 1/2*log(2). cosh(Math.LN2/4) = (sqrt(2)+1)/2^(5/4)
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| assertEquals(1.0150517651282178, Math.cosh(Math.LN2/4));
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| assertEquals(1.0150517651282178, Math.cosh(-Math.LN2/4));
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| // Case 1/2*log(2) < |x| < 22. cosh(10*Math.LN2) = 1048577/2048
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| assertEquals(512.00048828125, Math.cosh(10*Math.LN2));
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| assertEquals(512.00048828125, Math.cosh(-10*Math.LN2));
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| // Case 22 <= |x| < log(maxdouble)
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| assertEquals(2.1474836479999983e9, Math.cosh(32*Math.LN2));
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| assertEquals(2.1474836479999983e9, Math.cosh(-32*Math.LN2));
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| // Case log(maxdouble) <= |x| <= overflowthreshold
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| assertEquals(1.7976931348621744e308, Math.cosh(710.4758600739439));
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| assertEquals(1.7976931348621744e308, Math.cosh(-710.4758600739439));
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| // Overflow.
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| assertEquals(Infinity, Math.cosh(710.475860073944));
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| assertEquals(Infinity, Math.cosh(-710.475860073944));
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| 
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| // Implementation-specific tests for tanh.
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| // Case |x| < 2^-55
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| var two_56 = Math.pow(2, -56);
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| assertEquals(two_56, Math.tanh(two_56));
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| assertEquals(-two_56, Math.tanh(-two_56));
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| // Case |x| < 1
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| assertEquals(0.6, Math.tanh(Math.LN2));
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| assertEquals(-0.6, Math.tanh(-Math.LN2));
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| // Case  1 < |x| < 22
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| assertEquals(15/17, Math.tanh(2 * Math.LN2));
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| assertEquals(-15/17, Math.tanh(-2 * Math.LN2));
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| // Case |x| > 22
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| assertEquals(1, Math.tanh(100));
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| assertEquals(-1, Math.tanh(-100));
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| // Test against overflow
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| assertEquals(1, Math.tanh(1e300));
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| assertEquals(-1, Math.tanh(-1e300));
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