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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 
     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 
     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