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Issue 935333002: Update from https://crrev.com/316786 (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: Created 5 years, 10 months ago
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1 // Copyright (c) 2013 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4
5 #include "net/quic/congestion_control/cube_root.h"
6
7 #include "base/logging.h"
8
9 namespace {
10
11 // Find last bit in a 64-bit word.
12 int FindMostSignificantBit(uint64 x) {
13 if (!x) {
14 return 0;
15 }
16 int r = 0;
17 if (x & 0xffffffff00000000ull) {
18 x >>= 32;
19 r += 32;
20 }
21 if (x & 0xffff0000u) {
22 x >>= 16;
23 r += 16;
24 }
25 if (x & 0xff00u) {
26 x >>= 8;
27 r += 8;
28 }
29 if (x & 0xf0u) {
30 x >>= 4;
31 r += 4;
32 }
33 if (x & 0xcu) {
34 x >>= 2;
35 r += 2;
36 }
37 if (x & 0x02u) {
38 x >>= 1;
39 r++;
40 }
41 if (x & 0x01u) {
42 r++;
43 }
44 return r;
45 }
46
47 // 6 bits table [0..63]
48 const uint32 cube_root_table[] = {
49 0, 54, 54, 54, 118, 118, 118, 118, 123, 129, 134, 138, 143, 147, 151,
50 156, 157, 161, 164, 168, 170, 173, 176, 179, 181, 185, 187, 190, 192, 194,
51 197, 199, 200, 202, 204, 206, 209, 211, 213, 215, 217, 219, 221, 222, 224,
52 225, 227, 229, 231, 232, 234, 236, 237, 239, 240, 242, 244, 245, 246, 248,
53 250, 251, 252, 254
54 };
55 } // namespace
56
57 namespace net {
58
59 // Calculate the cube root using a table lookup followed by one Newton-Raphson
60 // iteration.
61 uint32 CubeRoot::Root(uint64 a) {
62 uint32 msb = FindMostSignificantBit(a);
63 DCHECK_LE(msb, 64u);
64
65 if (msb < 7) {
66 // MSB in our table.
67 return ((cube_root_table[a]) + 31) >> 6;
68 }
69 // MSB 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, ...
70 // cubic_shift 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, ...
71 uint32 cubic_shift = (msb - 4);
72 cubic_shift = ((cubic_shift * 342) >> 10); // Div by 3, biased high.
73
74 // 4 to 6 bits accuracy depending on MSB.
75 uint64 root =
76 ((cube_root_table[a >> (cubic_shift * 3)] + 10) << cubic_shift) >> 6;
77
78 // Make one Newton-Raphson iteration.
79 // Since x has an error (inaccuracy due to the use of fix point) we get a
80 // more accurate result by doing x * (x - 1) instead of x * x.
81 root = 2 * root + (a / (root * (root - 1)));
82 root = ((root * 341) >> 10); // Div by 3, biased low.
83 return static_cast<uint32>(root);
84 }
85
86 } // namespace net
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