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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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