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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
27  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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 <limits>
35 #include <stdint.h>
36 
saturatedAddition(int32_t a,int32_t b)37 ALWAYS_INLINE int32_t saturatedAddition(int32_t a, int32_t b)
38 {
39     uint32_t ua = a;
40     uint32_t ub = b;
41     uint32_t result = ua + ub;
42 
43     // Can only overflow if the signed bit of the two values match. If the signed
44     // bit of the result and one of the values differ it did overflow.
45     if (!((ua ^ ub) >> 31) & (result ^ ua) >> 31)
46         result = std::numeric_limits<int>::max() + (ua >> 31);
47 
48     return result;
49 }
50 
saturatedSubtraction(int32_t a,int32_t b)51 ALWAYS_INLINE int32_t saturatedSubtraction(int32_t a, int32_t b)
52 {
53     uint32_t ua = a;
54     uint32_t ub = b;
55     uint32_t result = ua - ub;
56 
57     // Can only overflow if the signed bit of the two values do not match. If the
58     // signed bit of the result and the first value differ it did overflow.
59     if ((ua ^ ub) >> 31 & (result ^ ua) >> 31)
60         result = std::numeric_limits<int>::max() + (ua >> 31);
61 
62     return result;
63 }
64 
65 #endif // SaturatedArithmetic_h
66