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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 
WebRtcSpl_SqrtFloor(int32_t value)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