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1 /*
2  * Copyright (c) 2012, Google 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 are
6  * met:
7  *
8  *     * Redistributions of source code must retain the above copyright
9  * notice, this list of conditions and the following disclaimer.
10  *     * Redistributions in binary form must reproduce the above
11  * copyright notice, this list of conditions and the following disclaimer
12  * in the documentation and/or other materials provided with the
13  * distribution.
14  *     * Neither the name of Google Inc. nor the names of its
15  * contributors may be used to endorse or promote products derived from
16  * this software without specific prior written permission.
17  *
18  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
19  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
20  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
21  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
22  * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
23  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
24  * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
25  * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
26  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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28  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29  */
30 
31 #ifndef SaturatedArithmetic_h
32 #define SaturatedArithmetic_h
33 
34 #include "wtf/CPU.h"
35 #include <limits>
36 #include <stdint.h>
37 
38 #if CPU(ARM) && COMPILER(GCC) && __OPTIMIZE__
39 
40 // If we're building ARM on GCC we replace the C++ versions with some
41 // native ARM assembly for speed.
42 #include "wtf/asm/SaturatedArithmeticARM.h"
43 
44 #else
45 
saturatedAddition(int32_t a,int32_t b)46 ALWAYS_INLINE int32_t saturatedAddition(int32_t a, int32_t b)
47 {
48     uint32_t ua = a;
49     uint32_t ub = b;
50     uint32_t result = ua + ub;
51 
52     // Can only overflow if the signed bit of the two values match. If the
53     // signed bit of the result and one of the values differ it overflowed.
54 
55     if (~(ua ^ ub) & (result ^ ua) & (1 << 31))
56         return std::numeric_limits<int>::max() + (ua >> 31);
57 
58     return result;
59 }
60 
saturatedSubtraction(int32_t a,int32_t b)61 ALWAYS_INLINE int32_t saturatedSubtraction(int32_t a, int32_t b)
62 {
63     uint32_t ua = a;
64     uint32_t ub = b;
65     uint32_t result = ua - ub;
66 
67     // Can only overflow if the signed bit of the two input values differ. If
68     // the signed bit of the result and the first value differ it overflowed.
69 
70     if ((ua ^ ub) & (result ^ ua) & (1 << 31))
71         return std::numeric_limits<int>::max() + (ua >> 31);
72 
73     return result;
74 }
75 
getMaxSaturatedSetResultForTesting(int FractionalShift)76 inline int getMaxSaturatedSetResultForTesting(int FractionalShift)
77 {
78     // For C version the set function maxes out to max int, this differs from
79     // the ARM asm version, see SaturatedArithmetiARM.h for the equivalent asm
80     // version.
81     return std::numeric_limits<int>::max();
82 }
83 
getMinSaturatedSetResultForTesting(int FractionalShift)84 inline int getMinSaturatedSetResultForTesting(int FractionalShift)
85 {
86     return std::numeric_limits<int>::min();
87 }
88 
saturatedSet(int value,int FractionalShift)89 ALWAYS_INLINE int saturatedSet(int value, int FractionalShift)
90 {
91     const int intMaxForLayoutUnit =
92         std::numeric_limits<int>::max() >> FractionalShift;
93 
94     const int intMinForLayoutUnit =
95         std::numeric_limits<int>::min() >> FractionalShift;
96 
97     if (value > intMaxForLayoutUnit)
98         return std::numeric_limits<int>::max();
99 
100     if (value < intMinForLayoutUnit)
101         return std::numeric_limits<int>::min();
102 
103     return value << FractionalShift;
104 }
105 
106 
saturatedSet(unsigned value,int FractionalShift)107 ALWAYS_INLINE int saturatedSet(unsigned value, int FractionalShift)
108 {
109     const unsigned intMaxForLayoutUnit =
110         std::numeric_limits<int>::max() >> FractionalShift;
111 
112     if (value >= intMaxForLayoutUnit)
113         return std::numeric_limits<int>::max();
114 
115     return value << FractionalShift;
116 }
117 
118 #endif // CPU(ARM) && COMPILER(GCC)
119 #endif // SaturatedArithmetic_h
120