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| 1 // Copyright 2014 the V8 project authors. All rights reserved. | |
| 2 // Use of this source code is governed by a BSD-style license that can be | |
| 3 // found in the LICENSE file. | |
| 4 | |
| 5 // Flags: --harmony-maths --no-fast-math | |
| 6 | |
| 7 assertTrue(isNaN(Math.expm1(NaN))); | |
| 8 assertTrue(isNaN(Math.expm1(function() {}))); | |
| 9 assertTrue(isNaN(Math.expm1({ toString: function() { return NaN; } }))); | |
| 10 assertTrue(isNaN(Math.expm1({ valueOf: function() { return "abc"; } }))); | |
| 11 assertEquals("Infinity", String(1/Math.expm1(0))); | |
| 12 assertEquals("-Infinity", String(1/Math.expm1(-0))); | |
| 13 assertEquals("Infinity", String(Math.expm1(Infinity))); | |
| 14 assertEquals(-1, Math.expm1(-Infinity)); | |
| 15 | |
| 16 for (var x = 0.1; x < 700; x += 0.1) { | |
| 17 var expected = Math.exp(x) - 1; | |
| 18 assertEqualsDelta(expected, Math.expm1(x), expected * 1E-14); | |
| 19 expected = Math.exp(-x) - 1; | |
| 20 assertEqualsDelta(expected, Math.expm1(-x), -expected * 1E-14); | |
| 21 } | |
| 22 | |
| 23 // Values close to 0: | |
| 24 // Use six terms of Taylor expansion at 0 for exp(x) as test expectation: | |
| 25 // exp(x) - 1 == exp(0) + exp(0) * x + x * x / 2 + ... - 1 | |
| 26 // == x + x * x / 2 + x * x * x / 6 + ... | |
| 27 function expm1(x) { | |
| 28 return x * (1 + x * (1/2 + x * ( | |
| 29 1/6 + x * (1/24 + x * ( | |
| 30 1/120 + x * (1/720 + x * ( | |
| 31 1/5040 + x * (1/40320 + x*( | |
| 32 1/362880 + x * (1/3628800)))))))))); | |
| 33 } | |
| 34 | |
| 35 for (var x = 1E-1; x > 1E-300; x *= 0.8) { | |
| 36 var expected = expm1(x); | |
| 37 assertEqualsDelta(expected, Math.expm1(x), expected * 1E-14); | |
| 38 } | |
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