]>
Commit | Line | Data |
---|---|---|
81345200 A |
1 | /* |
2 | * Copyright (C) 2014 Apple Inc. All rights reserved. | |
3 | * | |
4 | * Redistribution and use in source and binary forms, with or without | |
5 | * modification, are permitted provided that the following conditions | |
6 | * are met: | |
7 | * 1. Redistributions of source code must retain the above copyright | |
8 | * notice, this list of conditions and the following disclaimer. | |
9 | * 2. Redistributions in binary form must reproduce the above copyright | |
10 | * notice, this list of conditions and the following disclaimer in the | |
11 | * documentation and/or other materials provided with the distribution. | |
12 | * | |
13 | * THIS SOFTWARE IS PROVIDED BY APPLE INC. ``AS IS'' AND ANY | |
14 | * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
15 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
16 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR | |
17 | * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | |
18 | * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | |
19 | * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
20 | * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY | |
21 | * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
22 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | |
23 | * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
24 | */ | |
25 | ||
26 | #ifndef PureNaN_h | |
27 | #define PureNaN_h | |
28 | ||
29 | #include <wtf/Assertions.h> | |
30 | #include <wtf/StdLibExtras.h> | |
31 | ||
32 | namespace JSC { | |
33 | ||
34 | // NaN (not-a-number) double values are central to how JavaScriptCore encodes JavaScript | |
35 | // values (JSValues). All values, including integers and non-numeric values, are always | |
36 | // encoded using the IEEE 854 binary double format. Non-double values are encoded using | |
37 | // a NaN with the sign bit set. The 51-bit payload is then used for encoding the actual | |
38 | // value - be it an integer or a pointer to an object, or something else. But we only | |
39 | // make use of the low 49 bits and the top 15 bits being all set to 1 is the indicator | |
40 | // that a value is not a double. Top 15 bits being set to 1 also indicate a signed | |
41 | // signaling NaN with some additional NaN payload bits. | |
42 | // | |
43 | // Our use of NaN encoding means that we have to be careful with how we use NaNs for | |
44 | // ordinary doubles. For example, it would be wrong to ever use a NaN that has the top | |
45 | // 15 bits set, as that would look like a non-double value to JSC. | |
46 | // | |
47 | // We can trust that on all of the hardware/OS combinations that we care about, | |
48 | // NaN-producing math operations never produce a NaN that looks like a tagged value. But | |
49 | // if we're ever in a situation where we worry about it, we can use purifyNaN() to get a | |
50 | // NaN that doesn't look like a tagged non-double value. The JavaScript language doesn't | |
51 | // distinguish between different flavors of NaN and there is no way to detect what kind | |
52 | // of NaN you have - hence so long as all double NaNs are purified then our tagging | |
53 | // scheme remains sound. | |
54 | // | |
55 | // It's worth noting that there are cases, like sin(), that will almost produce a NaN | |
56 | // that breaks us. sin(-inf) returns 0xfff8000000000000. This doesn't break us because | |
57 | // not all of the top 15 bits are set. But it's very close. Hence our assumptions about | |
58 | // NaN are just about the most aggressive assumptions we could possibly make without | |
59 | // having to call purifyNaN() in surprising places. | |
60 | // | |
61 | // For naming purposes, we say that a NaN is "pure" if it is safe to tag, in the sense | |
62 | // that doing so would result in a tagged value that would pass the "are you a double" | |
63 | // test. We say that a NaN is "impure" if attempting to tag it would result in a value | |
64 | // that would look like something other than a double. | |
65 | ||
66 | // Returns some kind of pure NaN. | |
67 | inline double pureNaN() | |
68 | { | |
69 | // Be sure that we return exactly the kind of NaN that is safe. We engineer the bits | |
70 | // ourselves to ensure that it's !isImpureNaN(). FWIW, this is what | |
71 | // numeric_limits<double>::quiet_NaN() returns on Mac/X86_64. But AFAICT there is | |
72 | // no guarantee that quiet_NaN would return a pureNaN on all platforms. For example, | |
73 | // the docs appear to imply that quiet_NaN could even return a double with the | |
74 | // signaling bit set on hardware that doesn't do signaling. That would probably | |
75 | // never happen, but it's healthy to be paranoid. | |
76 | return bitwise_cast<double>(0x7ff8000000000000ll); | |
77 | } | |
78 | ||
79 | #define PNaN (pureNaN()) | |
80 | ||
81 | inline bool isImpureNaN(double value) | |
82 | { | |
83 | // Tests if the double value would break JSVALUE64 encoding, which is the most | |
84 | // aggressive kind of encoding that we currently use. | |
85 | return bitwise_cast<uint64_t>(value) >= 0xfffe000000000000llu; | |
86 | } | |
87 | ||
88 | // If the given value is NaN then return a NaN that is known to be pure. | |
89 | inline double purifyNaN(double value) | |
90 | { | |
91 | if (value != value) | |
92 | return PNaN; | |
93 | return value; | |
94 | } | |
95 | ||
96 | } // namespace JSC | |
97 | ||
98 | #endif // PureNaN_h |