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      1 /*
      2  * Written by Wilco Dijkstra, 1996.
      3  * Refer to NOTICE file at the root of git project.
      4  *
      5  * Minor modifications in code style for WebRTC, 2012.
      6  */
      7 
      8 #include "signal_processing_library.h"
      9 
     10 /*
     11  * Algorithm:
     12  * Successive approximation of the equation (root + delta) ^ 2 = N
     13  * until delta < 1. If delta < 1 we have the integer part of SQRT (N).
     14  * Use delta = 2^i for i = 15 .. 0.
     15  *
     16  * Output precision is 16 bits. Note for large input values (close to
     17  * 0x7FFFFFFF), bit 15 (the highest bit of the low 16-bit half word)
     18  * contains the MSB information (a non-sign value). Do with caution
     19  * if you need to cast the output to int16_t type.
     20  *
     21  * If the input value is negative, it returns 0.
     22  */
     23 
     24 #define WEBRTC_SPL_SQRT_ITER(N)                 \
     25   try1 = root + (1 << (N));                     \
     26   if (value >= try1 << (N))                     \
     27   {                                             \
     28     value -= try1 << (N);                       \
     29     root |= 2 << (N);                           \
     30   }
     31 
     32 int32_t WebRtcSpl_SqrtFloor(int32_t value)
     33 {
     34   int32_t root = 0, try1;
     35 
     36   WEBRTC_SPL_SQRT_ITER (15);
     37   WEBRTC_SPL_SQRT_ITER (14);
     38   WEBRTC_SPL_SQRT_ITER (13);
     39   WEBRTC_SPL_SQRT_ITER (12);
     40   WEBRTC_SPL_SQRT_ITER (11);
     41   WEBRTC_SPL_SQRT_ITER (10);
     42   WEBRTC_SPL_SQRT_ITER ( 9);
     43   WEBRTC_SPL_SQRT_ITER ( 8);
     44   WEBRTC_SPL_SQRT_ITER ( 7);
     45   WEBRTC_SPL_SQRT_ITER ( 6);
     46   WEBRTC_SPL_SQRT_ITER ( 5);
     47   WEBRTC_SPL_SQRT_ITER ( 4);
     48   WEBRTC_SPL_SQRT_ITER ( 3);
     49   WEBRTC_SPL_SQRT_ITER ( 2);
     50   WEBRTC_SPL_SQRT_ITER ( 1);
     51   WEBRTC_SPL_SQRT_ITER ( 0);
     52 
     53   return root >> 1;
     54 }
     55