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libyuv
Commit 747ceb9f authored by fbarchard@google.com's avatar fbarchard@google.com
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FixedDiv using integers 

BUG=250
TEST=fixed div unittest
R=dingkai@google.com, ryanpetrie@google.com

Review URL: https://webrtc-codereview.appspot.com/1681004

git-svn-id: http://libyuv.googlecode.com/svn/trunk@732 16f28f9a-4ce2-e073-06de-1de4eb20be90
parent 11404545
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Showing with 740 additions and 709 deletions
README.chromium
View file @ 747ceb9f
Name: libyuv
URL: http://code.google.com/p/libyuv/
Version: 731
Version: 732
License: BSD
License File: LICENSE
......
include/libyuv/row.h
View file @ 747ceb9f
......@@ -130,6 +130,7 @@ extern "C" {
// TODO(fbarchard): Port to gcc.
#if !defined(LIBYUV_DISABLE_X86) && defined(_M_IX86) && defined(_MSC_VER)
#define HAS_ARGBCOLORTABLEROW_X86
#define HAS_FIXEDDIV
// Visual C 2012 required for AVX2.
#if _MSC_VER >= 1700
#define HAS_ARGBSHUFFLEROW_AVX2
......@@ -1516,16 +1517,13 @@ void SobelXYRow_SSE2(const uint8* src_sobelx, const uint8* src_sobely,
uint8* dst_argb, int width);
void SobelXYRow_NEON(const uint8* src_sobelx, const uint8* src_sobely,
uint8* dst_argb, int width);
extern const float kRecipTable[4097];
// Divide num by div and return value as 16.16 fixed point.
#ifdef __cplusplus
static __inline int FixedDiv(int num, int div) {
if (static_cast<unsigned int>(div) <= 4096u) {
return static_cast<int>(num * kRecipTable[div]);
}
return static_cast<int>((static_cast<int64>(num) << 16) / div);
}
// Divide num by div and return as 16.16 fixed point result.
int FixedDiv_C(int num, int div);
#ifdef HAS_FIXEDDIV
int FixedDiv(int num, int div);
#else
#define FixedDiv FixedDiv_C
#endif
#ifdef __cplusplus
......
include/libyuv/version.h
View file @ 747ceb9f
......@@ -11,6 +11,6 @@
#ifndef INCLUDE_LIBYUV_VERSION_H_ // NOLINT
#define INCLUDE_LIBYUV_VERSION_H_
#define LIBYUV_VERSION 731
#define LIBYUV_VERSION 732
#endif // INCLUDE_LIBYUV_VERSION_H_ NOLINT
source/row_common.cc
View file @ 747ceb9f
......@@ -59,695 +59,701 @@ static __inline uint32 Abs(int32 v) {
}
#endif // USE_BRANCHLESS
// floating point reciprocal.
extern const float kRecipTable[4097] = {
0.f, 65536.f, 32768.f, 21845.333984f, 16384.000000f, 13107.200195f,
10922.666992f, 9362.286133f, 8192.000000f, 7281.777832f, 6553.600098f,
5957.818359f, 5461.333496f, 5041.230957f, 4681.143066f, 4369.066895f,
4096.000000f, 3855.058838f, 3640.888916f, 3449.263184f, 3276.800049f,
3120.761963f, 2978.909180f, 2849.391357f, 2730.666748f, 2621.439941f,
2520.615479f, 2427.259277f, 2340.571533f, 2259.862061f, 2184.533447f,
2114.064453f, 2048.000000f, 1985.939453f, 1927.529419f, 1872.457153f,
1820.444458f, 1771.243286f, 1724.631592f, 1680.410278f, 1638.400024f,
1598.438965f, 1560.380981f, 1524.093018f, 1489.454590f, 1456.355591f,
1424.695679f, 1394.382935f, 1365.333374f, 1337.469360f, 1310.719971f,
1285.019653f, 1260.307739f, 1236.528320f, 1213.629639f, 1191.563599f,
1170.285767f, 1149.754395f, 1129.931030f, 1110.779663f, 1092.266724f,
1074.360596f, 1057.032227f, 1040.254028f, 1024.000000f, 1008.246155f,
992.969727f, 978.149231f, 963.764709f, 949.797119f, 936.228577f, 923.042236f,
910.222229f, 897.753418f, 885.621643f, 873.813354f, 862.315796f, 851.116882f,
840.205139f, 829.569641f, 819.200012f, 809.086426f, 799.219482f, 789.590332f,
780.190491f, 771.011780f, 762.046509f, 753.287354f, 744.727295f, 736.359558f,
728.177795f, 720.175842f, 712.347839f, 704.688171f, 697.191467f, 689.852661f,
682.666687f, 675.628845f, 668.734680f, 661.979797f, 655.359985f, 648.871277f,
642.509827f, 636.271851f, 630.153870f, 624.152405f, 618.264160f, 612.485962f,
606.814819f, 601.247681f, 595.781799f, 590.414429f, 585.142883f, 579.964600f,
574.877197f, 569.878235f, 564.965515f, 560.136780f, 555.389832f, 550.722717f,
546.133362f, 541.619812f, 537.180298f, 532.812988f, 528.516113f, 524.288025f,
520.127014f, 516.031494f, 512.000000f, 508.031006f, 504.123077f, 500.274811f,
496.484863f, 492.751892f, 489.074615f, 485.451843f, 481.882355f, 478.364960f,
474.898560f, 471.482025f, 468.114288f, 464.794312f, 461.521118f, 458.293701f,
455.111115f, 451.972412f, 448.876709f, 445.823120f, 442.810822f, 439.838928f,
436.906677f, 434.013245f, 431.157898f, 428.339874f, 425.558441f, 422.812897f,
420.102570f, 417.426758f, 414.784821f, 412.176086f, 409.600006f, 407.055908f,
404.543213f, 402.061340f, 399.609741f, 397.187866f, 394.795166f, 392.431152f,
390.095245f, 387.786987f, 385.505890f, 383.251465f, 381.023254f, 378.820801f,
376.643677f, 374.491425f, 372.363647f, 370.259888f, 368.179779f, 366.122894f,
364.088898f, 362.077362f, 360.087921f, 358.120209f, 356.173920f, 354.248657f,
352.344086f, 350.459900f, 348.595734f, 346.751312f, 344.926331f, 343.120422f,
341.333344f, 339.564758f, 337.814423f, 336.082062f, 334.367340f, 332.670044f,
330.989899f, 329.326630f, 327.679993f, 326.049744f, 324.435638f, 322.837433f,
321.254913f, 319.687805f, 318.135925f, 316.599030f, 315.076935f, 313.569366f,
312.076202f, 310.597168f, 309.132080f, 307.680756f, 306.242981f, 304.818604f,
303.407410f, 302.009216f, 300.623840f, 299.251129f, 297.890900f, 296.542999f,
295.207214f, 293.883423f, 292.571442f, 291.271118f, 289.982300f, 288.704834f,
287.438599f, 286.183411f, 284.939117f, 283.705627f, 282.482758f, 281.270386f,
280.068390f, 278.876587f, 277.694916f, 276.523193f, 275.361359f, 274.209198f,
273.066681f, 271.933624f, 270.809906f, 269.695465f, 268.590149f, 267.493866f,
266.406494f, 265.327942f, 264.258057f, 263.196777f, 262.144012f, 261.099609f,
260.063507f, 259.035583f, 258.015747f, 257.003937f, 256.000000f, 255.003891f,
254.015503f, 253.034744f, 252.061539f, 251.095779f, 250.137405f, 249.186310f,
248.242432f, 247.305664f, 246.375946f, 245.453186f, 244.537308f, 243.628250f,
242.725922f, 241.830261f, 240.941177f, 240.058609f, 239.182480f, 238.312729f,
237.449280f, 236.592056f, 235.741013f, 234.896057f, 234.057144f, 233.224197f,
232.397156f, 231.575974f, 230.760559f, 229.950882f, 229.146851f, 228.348434f,
227.555557f, 226.768173f, 225.986206f, 225.209625f, 224.438354f, 223.672348f,
222.911560f, 222.155930f, 221.405411f, 220.659927f, 219.919464f, 219.183945f,
218.453339f, 217.727570f, 217.006622f, 216.290436f, 215.578949f, 214.872131f,
214.169937f, 213.472305f, 212.779221f, 212.090622f, 211.406448f, 210.726685f,
210.051285f, 209.380188f, 208.713379f, 208.050797f, 207.392410f, 206.738174f,
206.088043f, 205.442001f, 204.800003f, 204.161987f, 203.527954f, 202.897827f,
202.271606f, 201.649231f, 201.030670f, 200.415909f, 199.804871f, 199.197571f,
198.593933f, 197.993958f, 197.397583f, 196.804810f, 196.215576f, 195.629852f,
195.047623f, 194.468842f, 193.893494f, 193.321533f, 192.752945f, 192.187683f,
191.625732f, 191.067062f, 190.511627f, 189.959427f, 189.410400f, 188.864548f,
188.321838f, 187.782242f, 187.245712f, 186.712250f, 186.181824f, 185.654388f,
185.129944f, 184.608444f, 184.089890f, 183.574234f, 183.061447f, 182.551529f,
182.044449f, 181.540161f, 181.038681f, 180.539948f, 180.043961f, 179.550690f,
179.060104f, 178.572205f, 178.086960f, 177.604340f, 177.124329f, 176.646896f,
176.172043f, 175.699738f, 175.229950f, 174.762665f, 174.297867f, 173.835541f,
173.375656f, 172.918213f, 172.463165f, 172.010498f, 171.560211f, 171.112274f,
170.666672f, 170.223373f, 169.782379f, 169.343674f, 168.907211f, 168.473007f,
168.041031f, 167.611252f, 167.183670f, 166.758270f, 166.335022f, 165.913925f,
165.494949f, 165.078079f, 164.663315f, 164.250626f, 163.839996f, 163.431427f,
163.024872f, 162.620346f, 162.217819f, 161.817291f, 161.418716f, 161.022110f,
160.627457f, 160.234726f, 159.843903f, 159.454987f, 159.067963f, 158.682816f,
158.299515f, 157.918076f, 157.538467f, 157.160675f, 156.784683f, 156.410507f,
156.038101f, 155.667465f, 155.298584f, 154.931442f, 154.566040f, 154.202347f,
153.840378f, 153.480087f, 153.121490f, 152.764572f, 152.409302f, 152.055679f,
151.703705f, 151.353348f, 151.004608f, 150.657471f, 150.311920f, 149.967957f,
149.625565f, 149.284744f, 148.945450f, 148.607712f, 148.271500f, 147.936798f,
147.603607f, 147.271912f, 146.941711f, 146.612976f, 146.285721f, 145.959915f,
145.635559f, 145.312637f, 144.991150f, 144.671082f, 144.352417f, 144.035172f,
143.719299f, 143.404816f, 143.091705f, 142.779953f, 142.469559f, 142.160522f,
141.852814f, 141.546432f, 141.241379f, 140.937637f, 140.635193f, 140.334045f,
140.034195f, 139.735611f, 139.438293f, 139.142258f, 138.847458f, 138.553909f,
138.261597f, 137.970520f, 137.680679f, 137.392029f, 137.104599f, 136.818375f,
136.533340f, 136.249481f, 135.966812f, 135.685303f, 135.404953f, 135.125778f,
134.847733f, 134.570847f, 134.295074f, 134.020447f, 133.746933f, 133.474548f,
133.203247f, 132.933060f, 132.663971f, 132.395966f, 132.129028f, 131.863174f,
131.598389f, 131.334671f, 131.072006f, 130.810379f, 130.549805f, 130.290253f,
130.031754f, 129.774261f, 129.517792f, 129.262329f, 129.007874f, 128.754425f,
128.501968f, 128.250488f, 128.000000f, 127.750488f, 127.501945f, 127.254372f,
127.007751f, 126.762093f, 126.517372f, 126.273605f, 126.030769f, 125.788864f,
125.547890f, 125.307838f, 125.068703f, 124.830475f, 124.593155f, 124.356735f,
124.121216f, 123.886581f, 123.652832f, 123.419960f, 123.187973f, 122.956848f,
122.726593f, 122.497200f, 122.268654f, 122.040970f, 121.814125f, 121.588127f,
121.362961f, 121.138634f, 120.915131f, 120.692451f, 120.470589f, 120.249542f,
120.029305f, 119.809875f, 119.591240f, 119.373405f, 119.156364f, 118.940109f,
118.724640f, 118.509949f, 118.296028f, 118.082886f, 117.870506f, 117.658890f,
117.448029f, 117.237923f, 117.028572f, 116.819962f, 116.612099f, 116.404976f,
116.198578f, 115.992920f, 115.787987f, 115.583771f, 115.380280f, 115.177505f,
114.975441f, 114.774078f, 114.573425f, 114.373474f, 114.174217f, 113.975655f,
113.777779f, 113.580589f, 113.384087f, 113.188255f, 112.993103f, 112.798622f,
112.604813f, 112.411667f, 112.219177f, 112.027351f, 111.836174f, 111.645653f,
111.455780f, 111.266556f, 111.077965f, 110.890015f, 110.702705f, 110.516022f,
110.329964f, 110.144539f, 109.959732f, 109.775543f, 109.591972f, 109.409012f,
109.226669f, 109.044922f, 108.863785f, 108.683250f, 108.503311f, 108.323967f,
108.145218f, 107.967049f, 107.789474f, 107.612480f, 107.436066f, 107.260231f,
107.084969f, 106.910278f, 106.736153f, 106.562599f, 106.389610f, 106.217178f,
106.045311f, 105.873993f, 105.703224f, 105.533012f, 105.363342f, 105.194221f,
105.025642f, 104.857597f, 104.690094f, 104.523125f, 104.356689f, 104.190781f,
104.025398f, 103.860542f, 103.696205f, 103.532387f, 103.369087f, 103.206299f,
103.044022f, 102.882263f, 102.721001f, 102.560249f, 102.400002f, 102.240250f,
102.080994f, 101.922241f, 101.763977f, 101.606201f, 101.448914f, 101.292114f,
101.135803f, 100.979973f, 100.824615f, 100.669739f, 100.515335f, 100.361412f,
100.207954f, 100.054962f, 99.902435f, 99.750381f, 99.598785f, 99.447647f,
99.296967f, 99.146744f, 98.996979f, 98.847664f, 98.698792f, 98.550377f,
98.402405f, 98.254875f, 98.107788f, 97.961136f, 97.814926f, 97.669151f,
97.523811f, 97.378899f, 97.234421f, 97.090370f, 96.946747f, 96.803543f,
96.660767f, 96.518410f, 96.376472f, 96.234947f, 96.093842f, 95.953148f,
95.812866f, 95.672989f, 95.533531f, 95.394470f, 95.255814f, 95.117561f,
94.979713f, 94.842255f, 94.705200f, 94.568542f, 94.432274f, 94.296402f,
94.160919f, 94.025826f, 93.891121f, 93.756798f, 93.622856f, 93.489304f,
93.356125f, 93.223328f, 93.090912f, 92.958862f, 92.827194f, 92.695900f,
92.564972f, 92.434418f, 92.304222f, 92.174400f, 92.044945f, 91.915848f,
91.787117f, 91.658745f, 91.530724f, 91.403069f, 91.275764f, 91.148819f,
91.022224f, 90.895981f, 90.770081f, 90.644539f, 90.519341f, 90.394485f,
90.269974f, 90.145805f, 90.021980f, 89.898491f, 89.775345f, 89.652534f,
89.530052f, 89.407913f, 89.286102f, 89.164627f, 89.043480f, 88.922661f,
88.802170f, 88.681999f, 88.562164f, 88.442642f, 88.323448f, 88.204575f,
88.086021f, 87.967789f, 87.849869f, 87.732262f, 87.614975f, 87.498001f,
87.381332f, 87.264977f, 87.148933f, 87.033203f, 86.917770f, 86.802650f,
86.687828f, 86.573318f, 86.459106f, 86.345192f, 86.231583f, 86.118263f,
86.005249f, 85.892532f, 85.780106f, 85.667976f, 85.556137f, 85.444588f,
85.333336f, 85.222366f, 85.111687f, 85.001297f, 84.891190f, 84.781372f,
84.671837f, 84.562584f, 84.453606f, 84.344917f, 84.236504f, 84.128372f,
84.020515f, 83.912933f, 83.805626f, 83.698593f, 83.591835f, 83.485352f,
83.379135f, 83.273186f, 83.167511f, 83.062103f, 82.956963f, 82.852089f,
82.747475f, 82.643127f, 82.539040f, 82.435219f, 82.331657f, 82.228355f,
82.125313f, 82.022530f, 81.919998f, 81.817726f, 81.715714f, 81.613945f,
81.512436f, 81.411179f, 81.310173f, 81.209419f, 81.108910f, 81.008652f,
80.908646f, 80.808876f, 80.709358f, 80.610085f, 80.511055f, 80.412270f,
80.313728f, 80.215424f, 80.117363f, 80.019539f, 79.921951f, 79.824608f,
79.727493f, 79.630623f, 79.533981f, 79.437576f, 79.341408f, 79.245468f,
79.149757f, 79.054283f, 78.959038f, 78.864021f, 78.769234f, 78.674667f,
78.580338f, 78.486229f, 78.392342f, 78.298683f, 78.205254f, 78.112038f,
78.019051f, 77.926277f, 77.833733f, 77.741402f, 77.649292f, 77.557396f,
77.465721f, 77.374260f, 77.283020f, 77.191994f, 77.101173f, 77.010574f,
76.920189f, 76.830009f, 76.740044f, 76.650291f, 76.560745f, 76.471413f,
76.382286f, 76.293365f, 76.204651f, 76.116142f, 76.027840f, 75.939743f,
75.851852f, 75.764160f, 75.676674f, 75.589386f, 75.502304f, 75.415421f,
75.328735f, 75.242249f, 75.155960f, 75.069878f, 74.983978f, 74.898285f,
74.812782f, 74.727478f, 74.642372f, 74.557449f, 74.472725f, 74.388199f,
74.303856f, 74.219704f, 74.135750f, 74.051979f, 73.968399f, 73.885002f,
73.801804f, 73.718788f, 73.635956f, 73.553314f, 73.470856f, 73.388580f,
73.306488f, 73.224579f, 73.142860f, 73.061317f, 72.979958f, 72.898773f,
72.817780f, 72.736961f, 72.656319f, 72.575859f, 72.495575f, 72.415466f,
72.335541f, 72.255791f, 72.176208f, 72.096809f, 72.017586f, 71.938530f,
71.859650f, 71.780945f, 71.702408f, 71.624046f, 71.545853f, 71.467827f,
71.389977f, 71.312294f, 71.234779f, 71.157440f, 71.080261f, 71.003250f,
70.926407f, 70.849731f, 70.773216f, 70.696869f, 70.620689f, 70.544670f,
70.468819f, 70.393127f, 70.317596f, 70.242226f, 70.167023f, 70.091980f,
70.017097f, 69.942368f, 69.867805f, 69.793396f, 69.719147f, 69.645058f,
69.571129f, 69.497353f, 69.423729f, 69.350266f, 69.276955f, 69.203804f,
69.130798f, 69.057953f, 68.985260f, 68.912720f, 68.840340f, 68.768097f,
68.696014f, 68.624084f, 68.552299f, 68.480667f, 68.409187f, 68.337852f,
68.266670f, 68.195633f, 68.124741f, 68.054001f, 67.983406f, 67.912956f,
67.842651f, 67.772491f, 67.702477f, 67.632614f, 67.562889f, 67.493309f,
67.423866f, 67.354576f, 67.285423f, 67.216408f, 67.147537f, 67.078812f,
67.010223f, 66.941780f, 66.873466f, 66.805298f, 66.737274f, 66.669380f,
66.601624f, 66.534012f, 66.466530f, 66.399193f, 66.331985f, 66.264915f,
66.197983f, 66.131180f, 66.064514f, 65.997986f, 65.931587f, 65.865326f,
65.799194f, 65.733200f, 65.667336f, 65.601601f, 65.536003f, 65.470528f,
65.405190f, 65.339981f, 65.274902f, 65.209953f, 65.145126f, 65.080437f,
65.015877f, 64.951439f, 64.887131f, 64.822945f, 64.758896f, 64.694969f,
64.631165f, 64.567490f, 64.503937f, 64.440514f, 64.377213f, 64.314034f,
64.250984f, 64.188049f, 64.125244f, 64.062561f, 64.000000f, 63.937561f,
63.875244f, 63.813049f, 63.750973f, 63.689018f, 63.627186f, 63.565472f,
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19.574671f, 19.568827f, 19.562984f, 19.557148f, 19.551313f, 19.545481f,
19.539654f, 19.533831f, 19.528009f, 19.522192f, 19.516378f, 19.510569f,
19.504763f, 19.498959f, 19.493158f, 19.487362f, 19.481569f, 19.475780f,
19.469994f, 19.464212f, 19.458433f, 19.452656f, 19.446884f, 19.441116f,
19.435350f, 19.429588f, 19.423830f, 19.418074f, 19.412323f, 19.406574f,
19.400829f, 19.395088f, 19.389349f, 19.383614f, 19.377882f, 19.372154f,
19.366430f, 19.360708f, 19.354992f, 19.349277f, 19.343565f, 19.337858f,
19.332153f, 19.326452f, 19.320755f, 19.315060f, 19.309370f, 19.303682f,
19.297998f, 19.292316f, 19.286638f, 19.280966f, 19.275293f, 19.269627f,
19.263962f, 19.258301f, 19.252644f, 19.246990f, 19.241339f, 19.235691f,
19.230047f, 19.224405f, 19.218769f, 19.213135f, 19.207502f, 19.201876f,
19.196251f, 19.190630f, 19.185011f, 19.179398f, 19.173786f, 19.168179f,
19.162573f, 19.156971f, 19.151373f, 19.145779f, 19.140186f, 19.134598f,
19.129013f, 19.123432f, 19.117853f, 19.112278f, 19.106705f, 19.101137f,
19.095572f, 19.090010f, 19.084450f, 19.078894f, 19.073341f, 19.067791f,
19.062246f, 19.056702f, 19.051163f, 19.045626f, 19.040092f, 19.034563f,
19.029036f, 19.023512f, 19.017992f, 19.012474f, 19.006960f, 19.001450f,
18.995941f, 18.990438f, 18.984936f, 18.979439f, 18.973944f, 18.968452f,
18.962963f, 18.957478f, 18.951996f, 18.946516f, 18.941040f, 18.935568f,
18.930098f, 18.924631f, 18.919168f, 18.913708f, 18.908251f, 18.902798f,
18.897346f, 18.891899f, 18.886456f, 18.881014f, 18.875576f, 18.870142f,
18.864710f, 18.859280f, 18.853855f, 18.848433f, 18.843014f, 18.837597f,
18.832184f, 18.826775f, 18.821367f, 18.815964f, 18.810562f, 18.805164f,
18.799770f, 18.794378f, 18.788990f, 18.783606f, 18.778223f, 18.772844f,
18.767469f, 18.762096f, 18.756725f, 18.751360f, 18.745995f, 18.740635f,
18.735277f, 18.729923f, 18.724571f, 18.719223f, 18.713879f, 18.708536f,
18.703196f, 18.697861f, 18.692528f, 18.687197f, 18.681870f, 18.676546f,
18.671225f, 18.665907f, 18.660593f, 18.655281f, 18.649971f, 18.644667f,
18.639362f, 18.634064f, 18.628767f, 18.623472f, 18.618181f, 18.612894f,
18.607609f, 18.602327f, 18.597050f, 18.591774f, 18.586500f, 18.581230f,
18.575964f, 18.570700f, 18.565439f, 18.560181f, 18.554926f, 18.549675f,
18.544426f, 18.539179f, 18.533937f, 18.528696f, 18.523460f, 18.518225f,
18.512995f, 18.507767f, 18.502541f, 18.497318f, 18.492100f, 18.486883f,
18.481670f, 18.476460f, 18.471251f, 18.466047f, 18.460846f, 18.455647f,
18.450451f, 18.445257f, 18.440067f, 18.434881f, 18.429697f, 18.424515f,
18.419336f, 18.414162f, 18.408989f, 18.403820f, 18.398653f, 18.393488f,
18.388329f, 18.383169f, 18.378016f, 18.372862f, 18.367714f, 18.362566f,
18.357424f, 18.352282f, 18.347145f, 18.342009f, 18.336878f, 18.331749f,
18.326622f, 18.321499f, 18.316378f, 18.311260f, 18.306145f, 18.301033f,
18.295923f, 18.290817f, 18.285715f, 18.280613f, 18.275517f, 18.270420f,
18.265329f, 18.260241f, 18.255154f, 18.250071f, 18.244989f, 18.239910f,
18.234837f, 18.229763f, 18.224693f, 18.219627f, 18.214563f, 18.209503f,
18.204445f, 18.199389f, 18.194336f, 18.189287f, 18.184240f, 18.179195f,
18.174154f, 18.169115f, 18.164080f, 18.159046f, 18.154016f, 18.148989f,
18.143965f, 18.138943f, 18.133924f, 18.128908f, 18.123894f, 18.118883f,
18.113874f, 18.108870f, 18.103867f, 18.098867f, 18.093870f, 18.088877f,
18.083885f, 18.078897f, 18.073910f, 18.068928f, 18.063948f, 18.058969f,
18.053995f, 18.049023f, 18.044052f, 18.039085f, 18.034122f, 18.029161f,
18.024202f, 18.019247f, 18.014294f, 18.009344f, 18.004396f, 17.999451f,
17.994509f, 17.989569f, 17.984632f, 17.979698f, 17.974768f, 17.969839f,
17.964912f, 17.959990f, 17.955069f, 17.950151f, 17.945236f, 17.940323f,
17.935413f, 17.930506f, 17.925602f, 17.920700f, 17.915800f, 17.910904f,
17.906012f, 17.901119f, 17.896231f, 17.891346f, 17.886463f, 17.881582f,
17.876705f, 17.871830f, 17.866957f, 17.862087f, 17.857222f, 17.852356f,
17.847494f, 17.842636f, 17.837778f, 17.832926f, 17.828074f, 17.823225f,
17.818380f, 17.813536f, 17.808695f, 17.803858f, 17.799023f, 17.794189f,
17.789360f, 17.784533f, 17.779707f, 17.774885f, 17.770065f, 17.765247f,
17.760433f, 17.755621f, 17.750813f, 17.746006f, 17.741201f, 17.736401f,
17.731602f, 17.726805f, 17.722012f, 17.717220f, 17.712433f, 17.707647f,
17.702864f, 17.698082f, 17.693304f, 17.688530f, 17.683756f, 17.678986f,
17.674217f, 17.669453f, 17.664690f, 17.659929f, 17.655172f, 17.650417f,
17.645664f, 17.640915f, 17.636168f, 17.631424f, 17.626680f, 17.621941f,
17.617205f, 17.612471f, 17.607738f, 17.603008f, 17.598282f, 17.593557f,
17.588835f, 17.584116f, 17.579399f, 17.574684f, 17.569973f, 17.565264f,
17.560556f, 17.555853f, 17.551151f, 17.546452f, 17.541756f, 17.537062f,
17.532370f, 17.527681f, 17.522995f, 17.518311f, 17.513630f, 17.508949f,
17.504274f, 17.499599f, 17.494928f, 17.490259f, 17.485592f, 17.480928f,
17.476267f, 17.471607f, 17.466951f, 17.462297f, 17.457645f, 17.452995f,
17.448349f, 17.443705f, 17.439064f, 17.434423f, 17.429787f, 17.425154f,
17.420521f, 17.415892f, 17.411264f, 17.406641f, 17.402018f, 17.397398f,
17.392782f, 17.388166f, 17.383554f, 17.378944f, 17.374338f, 17.369732f,
17.365129f, 17.360529f, 17.355932f, 17.351337f, 17.346745f, 17.342154f,
17.337566f, 17.332981f, 17.328398f, 17.323816f, 17.319239f, 17.314663f,
17.310089f, 17.305519f, 17.300951f, 17.296385f, 17.291821f, 17.287260f,
17.282700f, 17.278145f, 17.273590f, 17.269039f, 17.264488f, 17.259943f,
17.255398f, 17.250856f, 17.246315f, 17.241779f, 17.237244f, 17.232712f,
17.228180f, 17.223654f, 17.219128f, 17.214605f, 17.210085f, 17.205566f,
17.201050f, 17.196537f, 17.192024f, 17.187517f, 17.183010f, 17.178507f,
17.174004f, 17.169504f, 17.165009f, 17.160513f, 17.156021f, 17.151531f,
17.147043f, 17.142559f, 17.138075f, 17.133595f, 17.129116f, 17.124641f,
17.120167f, 17.115696f, 17.111227f, 17.106760f, 17.102297f, 17.097836f,
17.093374f, 17.088919f, 17.084463f, 17.080011f, 17.075560f, 17.071112f,
17.066668f, 17.062223f, 17.057783f, 17.053343f, 17.048908f, 17.044474f,
17.040041f, 17.035612f, 17.031185f, 17.026760f, 17.022337f, 17.017918f,
17.013500f, 17.009085f, 17.004671f, 17.000259f, 16.995852f, 16.991444f,
16.987040f, 16.982637f, 16.978239f, 16.973841f, 16.969446f, 16.965054f,
16.960663f, 16.956274f, 16.951889f, 16.947504f, 16.943123f, 16.938744f,
16.934366f, 16.929993f, 16.925619f, 16.921249f, 16.916882f, 16.912516f,
16.908154f, 16.903791f, 16.899433f, 16.895077f, 16.890722f, 16.886370f,
16.882019f, 16.877672f, 16.873327f, 16.868984f, 16.864643f, 16.860304f,
16.855967f, 16.851633f, 16.847301f, 16.842972f, 16.838644f, 16.834318f,
16.829994f, 16.825674f, 16.821356f, 16.817039f, 16.812725f, 16.808413f,
16.804102f, 16.799795f, 16.795490f, 16.791185f, 16.786884f, 16.782587f,
16.778290f, 16.773994f, 16.769703f, 16.765413f, 16.761126f, 16.756840f,
16.752556f, 16.748276f, 16.743996f, 16.739719f, 16.735445f, 16.731173f,
16.726902f, 16.722633f, 16.718367f, 16.714104f, 16.709843f, 16.705582f,
16.701324f, 16.697069f, 16.692818f, 16.688566f, 16.684319f, 16.680071f,
16.675827f, 16.671585f, 16.667345f, 16.663107f, 16.658871f, 16.654638f,
16.650406f, 16.646177f, 16.641951f, 16.637726f, 16.633503f, 16.629282f,
16.625063f, 16.620848f, 16.616632f, 16.612421f, 16.608212f, 16.604004f,
16.599798f, 16.595594f, 16.591393f, 16.587193f, 16.582996f, 16.578800f,
16.574608f, 16.570417f, 16.566229f, 16.562042f, 16.557858f, 16.553675f,
16.549496f, 16.545317f, 16.541142f, 16.536966f, 16.532795f, 16.528625f,
16.524458f, 16.520292f, 16.516129f, 16.511969f, 16.507809f, 16.503651f,
16.499496f, 16.495344f, 16.491192f, 16.487043f, 16.482897f, 16.478752f,
16.474611f, 16.470470f, 16.466331f, 16.462196f, 16.458061f, 16.453930f,
16.449799f, 16.445671f, 16.441545f, 16.437422f, 16.433300f, 16.429180f,
16.425062f, 16.420948f, 16.416834f, 16.412722f, 16.408613f, 16.404505f,
16.400400f, 16.396297f, 16.392197f, 16.388098f, 16.384001f, 16.379906f,
16.375813f, 16.371721f, 16.367632f, 16.363546f, 16.359461f, 16.355377f,
16.351297f, 16.347219f, 16.343142f, 16.339067f, 16.334995f, 16.330925f,
16.326857f, 16.322790f, 16.318726f, 16.314663f, 16.310602f, 16.306543f,
16.302488f, 16.298433f, 16.294380f, 16.290331f, 16.286282f, 16.282236f,
16.278193f, 16.274149f, 16.270109f, 16.266071f, 16.262035f, 16.258001f,
16.253969f, 16.249939f, 16.245911f, 16.241884f, 16.237860f, 16.233837f,
16.229816f, 16.225798f, 16.221783f, 16.217768f, 16.213755f, 16.209745f,
16.205736f, 16.201731f, 16.197725f, 16.193724f, 16.189724f, 16.185724f,
16.181728f, 16.177734f, 16.173742f, 16.169750f, 16.165762f, 16.161776f,
16.157791f, 16.153809f, 16.149828f, 16.145849f, 16.141872f, 16.137897f,
16.133924f, 16.129953f, 16.125984f, 16.122017f, 16.118052f, 16.114088f,
16.110128f, 16.106169f, 16.102211f, 16.098255f, 16.094303f, 16.090351f,
16.086401f, 16.082455f, 16.078508f, 16.074564f, 16.070623f, 16.066683f,
16.062746f, 16.058809f, 16.054874f, 16.050943f, 16.047012f, 16.043085f,
16.039158f, 16.035234f, 16.031311f, 16.027391f, 16.023472f, 16.019556f,
16.015640f, 16.011728f, 16.007816f, 16.003908f, 16.000000f
// Fixed point 0.32 reciprocal table.
extern const uint32 kRecipTable[4097] = {
0, 0xffffffff, 2147483648, 1431655808, 1073741824, 858993472,
715827904, 613566784, 536870912, 477218592, 429496736, 390451584,
357913952, 330382112, 306783392, 286331168, 268435456, 252645136,
238609296, 226050912, 214748368, 204522256, 195225792, 186737712,
178956976, 171798688, 165191056, 159072864, 153391696, 148102320,
143165584, 138547328, 134217728, 130150528, 126322568, 122713352,
119304648, 116080200, 113025456, 110127368, 107374184, 104755296,
102261128, 99882960, 97612896, 95443720, 93368856, 91382280,
89478488, 87652392, 85899344, 84215048, 82595528, 81037120,
79536432, 78090312, 76695848, 75350304, 74051160, 72796056,
71582792, 70409296, 69273664, 68174088, 67108864, 66076420,
65075264, 64103988, 63161284, 62245904, 61356676, 60492496,
59652324, 58835168, 58040100, 57266232, 56512728, 55778796,
55063684, 54366676, 53687092, 53024288, 52377648, 51746592,
51130564, 50529028, 49941480, 49367440, 48806448, 48258060,
47721860, 47197444, 46684428, 46182444, 45691140, 45210184,
44739244, 44278012, 43826196, 43383508, 42949672, 42524428,
42107524, 41698712, 41297764, 40904452, 40518560, 40139880,
39768216, 39403368, 39045156, 38693400, 38347924, 38008560,
37675152, 37347540, 37025580, 36709124, 36398028, 36092164,
35791396, 35495596, 35204648, 34918432, 34636832, 34359740,
34087044, 33818640, 33554432, 33294320, 33038210, 32786010,
32537632, 32292988, 32051994, 31814572, 31580642, 31350126,
31122952, 30899046, 30678338, 30460760, 30246248, 30034736,
29826162, 29620464, 29417584, 29217464, 29020050, 28825284,
28633116, 28443492, 28256364, 28071682, 27889398, 27709466,
27531842, 27356480, 27183338, 27012372, 26843546, 26676816,
26512144, 26349492, 26188824, 26030104, 25873296, 25718368,
25565282, 25414008, 25264514, 25116768, 24970740, 24826400,
24683720, 24542670, 24403224, 24265352, 24129030, 23994230,
23860930, 23729102, 23598722, 23469766, 23342214, 23216040,
23091222, 22967740, 22845570, 22724694, 22605092, 22486740,
22369622, 22253716, 22139006, 22025474, 21913098, 21801864,
21691754, 21582750, 21474836, 21367996, 21262214, 21157474,
21053762, 20951060, 20849356, 20748634, 20648882, 20550082,
20452226, 20355296, 20259280, 20164166, 20069940, 19976592,
19884108, 19792476, 19701684, 19611722, 19522578, 19434242,
19346700, 19259944, 19173962, 19088744, 19004280, 18920560,
18837576, 18755316, 18673770, 18592932, 18512790, 18433336,
18354562, 18276456, 18199014, 18122224, 18046082, 17970574,
17895698, 17821442, 17747798, 17674762, 17602324, 17530478,
17459216, 17388532, 17318416, 17248864, 17179870, 17111424,
17043522, 16976156, 16909320, 16843010, 16777216, 16711936,
16647160, 16582886, 16519106, 16455814, 16393006, 16330674,
16268816, 16207424, 16146494, 16086020, 16025998, 15966422,
15907286, 15848588, 15790322, 15732482, 15675064, 15618064,
15561476, 15505298, 15449524, 15394148, 15339170, 15284582,
15230380, 15176564, 15123124, 15070062, 15017368, 14965044,
14913082, 14861480, 14810232, 14759338, 14708792, 14658592,
14608732, 14559212, 14510026, 14461170, 14412642, 14364440,
14316558, 14268994, 14221746, 14174810, 14128182, 14081860,
14035842, 13990122, 13944700, 13899572, 13854734, 13810184,
13765922, 13721940, 13678240, 13634818, 13591670, 13548794,
13506186, 13463848, 13421774, 13379960, 13338408, 13297112,
13256072, 13215284, 13174746, 13134458, 13094412, 13054612,
13015052, 12975732, 12936648, 12897800, 12859184, 12820798,
12782642, 12744710, 12707004, 12669520, 12632258, 12595212,
12558384, 12521772, 12485370, 12449182, 12413200, 12377428,
12341860, 12306498, 12271336, 12236374, 12201612, 12167046,
12132676, 12098500, 12064516, 12030722, 11997116, 11963698,
11930466, 11897416, 11864552, 11831866, 11799362, 11767034,
11734884, 11702908, 11671108, 11639478, 11608020, 11576732,
11545612, 11514658, 11483870, 11453246, 11422786, 11392486,
11362348, 11332368, 11302546, 11272880, 11243370, 11214014,
11184812, 11155760, 11126858, 11098108, 11069504, 11041048,
11012738, 10984572, 10956550, 10928670, 10900932, 10873336,
10845878, 10818558, 10791376, 10764330, 10737418, 10710642,
10683998, 10657488, 10631108, 10604858, 10578738, 10552746,
10526882, 10501144, 10475530, 10450042, 10424678, 10399438,
10374318, 10349320, 10324442, 10299682, 10275042, 10250520,
10226114, 10201824, 10177648, 10153588, 10129640, 10105806,
10082084, 10058472, 10034970, 10011580, 9988296, 9965122,
9942054, 9919094, 9896238, 9873488, 9850842, 9828300,
9805862, 9783526, 9761290, 9739156, 9717122, 9695186,
9673350, 9651612, 9629972, 9608428, 9586982, 9565630,
9544372, 9523210, 9502140, 9481164, 9460280, 9439490,
9418788, 9398178, 9377658, 9357228, 9336886, 9316632,
9296466, 9276388, 9256396, 9236490, 9216668, 9196932,
9177282, 9157714, 9138228, 9118828, 9099508, 9080270,
9061112, 9042036, 9023042, 9004124, 8985288, 8966530,
8947850, 8929246, 8910722, 8892272, 8873900, 8855604,
8837382, 8819236, 8801162, 8783164, 8765240, 8747388,
8729608, 8711902, 8694266, 8676702, 8659208, 8641786,
8624432, 8607150, 8589936, 8572790, 8555712, 8538702,
8521762, 8504886, 8488078, 8471336, 8454660, 8438050,
8421506, 8405024, 8388608, 8372256, 8355968, 8339743,
8323580, 8307481, 8291443, 8275467, 8259553, 8243699,
8227907, 8212175, 8196503, 8180890, 8165337, 8149843,
8134408, 8119031, 8103712, 8088451, 8073247, 8058100,
8043010, 8027977, 8012999, 7998077, 7983211, 7968400,
7953643, 7938942, 7924294, 7909701, 7895161, 7880674,
7866241, 7851860, 7837532, 7823256, 7809032, 7794859,
7780738, 7766668, 7752649, 7738680, 7724762, 7710893,
7697074, 7683305, 7669585, 7655913, 7642291, 7628717,
7615190, 7601712, 7588282, 7574898, 7561562, 7548273,
7535031, 7521834, 7508684, 7495580, 7482522, 7469509,
7456541, 7443618, 7430740, 7417906, 7405116, 7392371,
7379669, 7367011, 7354396, 7341825, 7329296, 7316810,
7304366, 7291965, 7279606, 7267288, 7255013, 7242778,
7230585, 7218433, 7206321, 7194250, 7182220, 7170229,
7158279, 7146368, 7134497, 7122666, 7110873, 7099120,
7087405, 7075729, 7064091, 7052492, 7040930, 7029407,
7017921, 7006472, 6995061, 6983687, 6972350, 6961049,
6949786, 6938558, 6927367, 6916212, 6905092, 6894009,
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1716614, 1715928, 1715243, 1714558, 1713874, 1713190,
1712507, 1711824, 1711142, 1710461, 1709780, 1709100,
1708420, 1707741, 1707062, 1706384, 1705706, 1705029,
1704352, 1703676, 1703001, 1702326, 1701651, 1700977,
1700304, 1699631, 1698959, 1698287, 1697616, 1696945,
1696275, 1695605, 1694936, 1694267, 1693599, 1692932,
1692265, 1691598, 1690932, 1690267, 1689602, 1688937,
1688273, 1687610, 1686947, 1686285, 1685623, 1684962,
1684301, 1683641, 1682981, 1682322, 1681663, 1681005,
1680347, 1679690, 1679033, 1678377, 1677722, 1677067,
1676412, 1675758, 1675104, 1674451, 1673799, 1673147,
1672495, 1671844, 1671194, 1670544, 1669894, 1669245,
1668597, 1667949, 1667301, 1666654, 1666008, 1665362,
1664716, 1664071, 1663427, 1662783, 1662139, 1661496,
1660854, 1660212, 1659570, 1658929, 1658289, 1657649,
1657009, 1656370, 1655731, 1655093, 1654456, 1653819,
1653182, 1652546, 1651911, 1651275, 1650641, 1650007,
1649373, 1648740, 1648107, 1647475, 1646843, 1646212,
1645581, 1644951, 1644321, 1643692, 1643063, 1642435,
1641807, 1641180, 1640553, 1639926, 1639301, 1638675,
1638050, 1637426, 1636802, 1636178, 1635555, 1634932,
1634310, 1633689, 1633067, 1632447, 1631827, 1631207,
1630587, 1629969, 1629350, 1628732, 1628115, 1627498,
1626882, 1626266, 1625650, 1625035, 1624420, 1623806,
1623193, 1622579, 1621967, 1621354, 1620742, 1620131,
1619520, 1618910, 1618300, 1617690, 1617081, 1616473,
1615864, 1615257, 1614649, 1614043, 1613436, 1612830,
1612225, 1611620, 1611016, 1610411, 1609808, 1609205,
1608602, 1608000, 1607398, 1606797, 1606196, 1605595,
1604995, 1604396, 1603797, 1603198, 1602600, 1602002,
1601405, 1600808, 1600211, 1599615, 1599020, 1598425,
1597830, 1597236, 1596642, 1596049, 1595456, 1594864,
1594272, 1593680, 1593089, 1592498, 1591908, 1591318,
1590729, 1590140, 1589551, 1588963, 1588376, 1587788,
1587202, 1586615, 1586029, 1585444, 1584859, 1584274,
1583690, 1583106, 1582523, 1581940, 1581358, 1580776,
1580194, 1579613, 1579032, 1578452, 1577872, 1577292,
1576713, 1576135, 1575557, 1574979, 1574402, 1573825,
1573248, 1572672, 1572096, 1571521, 1570946, 1570372,
1569798, 1569225, 1568651, 1568079, 1567506, 1566935,
1566363, 1565792, 1565221, 1564651, 1564081, 1563512,
1562943, 1562374, 1561806, 1561239, 1560671, 1560104,
1559538, 1558972, 1558406, 1557841, 1557276, 1556712,
1556148, 1555584, 1555021, 1554458, 1553896, 1553334,
1552772, 1552211, 1551650, 1551090, 1550530, 1549970,
1549411, 1548852, 1548294, 1547736, 1547178, 1546621,
1546065, 1545508, 1544952, 1544397, 1543842, 1543287,
1542733, 1542179, 1541625, 1541072, 1540519, 1539967,
1539415, 1538863, 1538312, 1537761, 1537211, 1536661,
1536111, 1535562, 1535013, 1534465, 1533917, 1533369,
1532822, 1532275, 1531729, 1531183, 1530637, 1530092,
1529547, 1529002, 1528458, 1527914, 1527371, 1526828,
1526286, 1525743, 1525202, 1524660, 1524119, 1523578,
1523038, 1522498, 1521959, 1521420, 1520881, 1520342,
1519804, 1519267, 1518730, 1518193, 1517656, 1517120,
1516585, 1516049, 1515514, 1514980, 1514446, 1513912,
1513378, 1512845, 1512312, 1511780, 1511248, 1510717,
1510185, 1509655, 1509124, 1508594, 1508064, 1507535,
1507006, 1506478, 1505949, 1505421, 1504894, 1504367,
1503840, 1503314, 1502788, 1502262, 1501737, 1501212,
1500687, 1500163, 1499639, 1499116, 1498593, 1498070,
1497548, 1497026, 1496504, 1495983, 1495462, 1494942,
1494422, 1493902, 1493382, 1492863, 1492345, 1491826,
1491308, 1490791, 1490273, 1489756, 1489240, 1488724,
1488208, 1487692, 1487177, 1486662, 1486148, 1485634,
1485120, 1484607, 1484094, 1483581, 1483069, 1482557,
1482045, 1481534, 1481023, 1480513, 1480003, 1479493,
1478983, 1478474, 1477965, 1477457, 1476949, 1476441,
1475934, 1475427, 1474920, 1474414, 1473908, 1473402,
1472897, 1472392, 1471887, 1471383, 1470879, 1470376,
1469873, 1469370, 1468867, 1468365, 1467863, 1467362,
1466860, 1466360, 1465859, 1465359, 1464859, 1464360,
1463861, 1463362, 1462864, 1462366, 1461868, 1461370,
1460873, 1460377, 1459880, 1459384, 1458888, 1458393,
1457898, 1457403, 1456909, 1456415, 1455921, 1455428,
1454935, 1454442, 1453950, 1453458, 1452966, 1452475,
1451984, 1451493, 1451003, 1450512, 1450023, 1449533,
1449044, 1448556, 1448067, 1447579, 1447091, 1446604,
1446117, 1445630, 1445144, 1444658, 1444172, 1443687,
1443201, 1442717, 1442232, 1441748, 1441264, 1440781,
1440298, 1439815, 1439332, 1438850, 1438368, 1437887,
1437405, 1436925, 1436444, 1435964, 1435484, 1435004,
1434525, 1434046, 1433567, 1433089, 1432611, 1432133,
1431656, 1431179, 1430702, 1430226, 1429749, 1429274,
1428798, 1428323, 1427848, 1427374, 1426899, 1426426,
1425952, 1425479, 1425006, 1424533, 1424061, 1423589,
1423117, 1422646, 1422175, 1421704, 1421233, 1420763,
1420293, 1419824, 1419355, 1418886, 1418417, 1417949,
1417481, 1417013, 1416546, 1416079, 1415612, 1415146,
1414680, 1414214, 1413748, 1413283, 1412818, 1412354,
1411889, 1411425, 1410962, 1410498, 1410035, 1409573,
1409110, 1408648, 1408186, 1407725, 1407263, 1406802,
1406342, 1405881, 1405421, 1404962, 1404502, 1404043,
1403584, 1403126, 1402667, 1402209, 1401752, 1401294,
1400837, 1400381, 1399924, 1399468, 1399012, 1398557,
1398101, 1397646, 1397192, 1396737, 1396283, 1395830,
1395376, 1394923, 1394470, 1394017, 1393565, 1393113,
1392661, 1392210, 1391759, 1391308, 1390857, 1390407,
1389957, 1389507, 1389058, 1388609, 1388160, 1387712,
1387263, 1386815, 1386368, 1385920, 1385473, 1385027,
1384580, 1384134, 1383688, 1383242, 1382797, 1382352,
1381907, 1381463, 1381018, 1380575, 1380131, 1379688,
1379245, 1378802, 1378359, 1377917, 1377475, 1377034,
1376592, 1376151, 1375710, 1375270, 1374830, 1374390,
1373950, 1373511, 1373071, 1372633, 1372194, 1371756,
1371318, 1370880, 1370443, 1370006, 1369569, 1369132,
1368696, 1368260, 1367824, 1367389, 1366953, 1366518,
1366084, 1365649, 1365215, 1364782, 1364348, 1363915,
1363482, 1363049, 1362617, 1362184, 1361753, 1361321,
1360890, 1360459, 1360028, 1359597, 1359167, 1358737,
1358307, 1357878, 1357449, 1357020, 1356591, 1356163,
1355735, 1355307, 1354879, 1354452, 1354025, 1353598,
1353172, 1352746, 1352320, 1351894, 1351469, 1351044,
1350619, 1350194, 1349770, 1349346, 1348922, 1348498,
1348075, 1347652, 1347229, 1346807, 1346385, 1345963,
1345541, 1345120, 1344699, 1344278, 1343857, 1343437,
1343017, 1342597, 1342177, 1341758, 1341339, 1340920,
1340502, 1340083, 1339665, 1339248, 1338830, 1338413,
1337996, 1337579, 1337163, 1336747, 1336331, 1335915,
1335500, 1335085, 1334670, 1334255, 1333841, 1333427,
1333013, 1332599, 1332186, 1331773, 1331360, 1330947,
1330535, 1330123, 1329711, 1329300, 1328888, 1328477,
1328067, 1327656, 1327246, 1326836, 1326426, 1326017,
1325607, 1325198, 1324789, 1324381, 1323973, 1323565,
1323157, 1322749, 1322342, 1321935, 1321528, 1321122,
1320716, 1320310, 1319904, 1319498, 1319093, 1318688,
1318283, 1317879, 1317475, 1317071, 1316667, 1316263,
1315860, 1315457, 1315054, 1314652, 1314250, 1313848,
1313446, 1313044, 1312643, 1312242, 1311841, 1311440,
1311040, 1310640, 1310240, 1309841, 1309441, 1309042,
1308643, 1308245, 1307846, 1307448, 1307050, 1306653,
1306255, 1305858, 1305461, 1305065, 1304668, 1304272,
1303876, 1303480, 1303085, 1302690, 1302295, 1301900,
1301505, 1301111, 1300717, 1300323, 1299930, 1299536,
1299143, 1298750, 1298358, 1297965, 1297573, 1297181,
1296790, 1296398, 1296007, 1295616, 1295225, 1294835,
1294445, 1294055, 1293665, 1293275, 1292886, 1292497,
1292108, 1291720, 1291331, 1290943, 1290555, 1290167,
1289780, 1289393, 1289006, 1288619, 1288233, 1287846,
1287460, 1287074, 1286689, 1286304, 1285918, 1285534,
1285149, 1284764, 1284380, 1283996, 1283613, 1283229,
1282846, 1282463, 1282080, 1281697, 1281315, 1280933,
1280551, 1280169, 1279788, 1279406, 1279025, 1278645,
1278264, 1277884, 1277504, 1277124, 1276744, 1276365,
1275986, 1275607, 1275228, 1274849, 1274471, 1274093,
1273715, 1273338, 1272960, 1272583, 1272206, 1271829,
1271453, 1271077, 1270700, 1270325, 1269949, 1269574,
1269198, 1268823, 1268449, 1268074, 1267700, 1267326,
1266952, 1266578, 1266205, 1265832, 1265459, 1265086,
1264714, 1264341, 1263969, 1263597, 1263226, 1262854,
1262483, 1262112, 1261741, 1261371, 1261000, 1260630,
1260260, 1259891, 1259521, 1259152, 1258783, 1258414,
1258046, 1257677, 1257309, 1256941, 1256573, 1256206,
1255838, 1255471, 1255104, 1254738, 1254371, 1254005,
1253639, 1253273, 1252908, 1252542, 1252177, 1251812,
1251447, 1251083, 1250719, 1250354, 1249991, 1249627,
1249263, 1248900, 1248537, 1248174, 1247812, 1247449,
1247087, 1246725, 1246363, 1246002, 1245640, 1245279,
1244918, 1244557, 1244197, 1243837, 1243476, 1243117,
1242757, 1242397, 1242038, 1241679, 1241320, 1240961,
1240603, 1240245, 1239887, 1239529, 1239171, 1238814,
1238457, 1238100, 1237743, 1237386, 1237030, 1236674,
1236318, 1235962, 1235606, 1235251, 1234896, 1234541,
1234186, 1233832, 1233477, 1233123, 1232769, 1232415,
1232062, 1231708, 1231355, 1231002, 1230650, 1230297,
1229945, 1229593, 1229241, 1228889, 1228538, 1228186,
1227835, 1227484, 1227134, 1226783, 1226433, 1226083,
1225733, 1225383, 1225034, 1224684, 1224335, 1223986,
1223637, 1223289, 1222941, 1222593, 1222245, 1221897,
1221549, 1221202, 1220855, 1220508, 1220161, 1219815,
1219468, 1219122, 1218776, 1218431, 1218085, 1217740,
1217394, 1217049, 1216705, 1216360, 1216016, 1215672,
1215328, 1214984, 1214640, 1214297, 1213954, 1213610,
1213268, 1212925, 1212583, 1212240, 1211898, 1211556,
1211215, 1210873, 1210532, 1210191, 1209850, 1209509,
1209169, 1208828, 1208488, 1208148, 1207809, 1207469,
1207130, 1206791, 1206452, 1206113, 1205774, 1205436,
1205098, 1204759, 1204422, 1204084, 1203747, 1203409,
1203072, 1202735, 1202399, 1202062, 1201726, 1201390,
1201054, 1200718, 1200382, 1200047, 1199712, 1199377,
1199042, 1198707, 1198373, 1198038, 1197704, 1197370,
1197037, 1196703, 1196370, 1196037, 1195704, 1195371,
1195038, 1194706, 1194374, 1194042, 1193710, 1193378,
1193047, 1192715, 1192384, 1192053, 1191722, 1191392,
1191061, 1190731, 1190401, 1190071, 1189742, 1189412,
1189083, 1188754, 1188425, 1188096, 1187768, 1187439,
1187111, 1186783, 1186455, 1186127, 1185800, 1185473,
1185146, 1184819, 1184492, 1184165, 1183839, 1183513,
1183187, 1182861, 1182535, 1182210, 1181884, 1181559,
1181234, 1180909, 1180585, 1180260, 1179936, 1179612,
1179288, 1178964, 1178641, 1178318, 1177994, 1177671,
1177349, 1177026, 1176703, 1176381, 1176059, 1175737,
1175415, 1175094, 1174772, 1174451, 1174130, 1173809,
1173488, 1173168, 1172847, 1172527, 1172207, 1171887,
1171568, 1171248, 1170929, 1170610, 1170291, 1169972,
1169653, 1169335, 1169017, 1168699, 1168381, 1168063,
1167745, 1167428, 1167111, 1166794, 1166477, 1166160,
1165844, 1165527, 1165211, 1164895, 1164579, 1164263,
1163948, 1163632, 1163317, 1163002, 1162687, 1162373,
1162058, 1161744, 1161430, 1161116, 1160802, 1160488,
1160175, 1159862, 1159548, 1159236, 1158923, 1158610,
1158298, 1157985, 1157673, 1157361, 1157049, 1156738,
1156426, 1156115, 1155804, 1155493, 1155182, 1154872,
1154561, 1154251, 1153941, 1153631, 1153321, 1153011,
1152702, 1152393, 1152084, 1151775, 1151466, 1151157,
1150849, 1150540, 1150232, 1149924, 1149617, 1149309,
1149001, 1148694, 1148387, 1148080, 1147773, 1147467,
1147160, 1146854, 1146548, 1146242, 1145936, 1145630,
1145325, 1145019, 1144714, 1144409, 1144104, 1143800,
1143495, 1143191, 1142887, 1142582, 1142279, 1141975,
1141671, 1141368, 1141065, 1140762, 1140459, 1140156,
1139853, 1139551, 1139249, 1138947, 1138645, 1138343,
1138041, 1137740, 1137438, 1137137, 1136836, 1136535,
1136235, 1135934, 1135634, 1135334, 1135034, 1134734,
1134434, 1134135, 1133835, 1133536, 1133237, 1132938,
1132639, 1132341, 1132042, 1131744, 1131446, 1131148,
1130850, 1130552, 1130255, 1129957, 1129660, 1129363,
1129066, 1128769, 1128473, 1128176, 1127880, 1127584,
1127288, 1126992, 1126697, 1126401, 1126106, 1125811,
1125516, 1125221, 1124926, 1124631, 1124337, 1124043,
1123749, 1123455, 1123161, 1122867, 1122574, 1122281,
1121987, 1121694, 1121401, 1121109, 1120816, 1120524,
1120231, 1119939, 1119647, 1119356, 1119064, 1118772,
1118481, 1118190, 1117899, 1117608, 1117317, 1117027,
1116736, 1116446, 1116156, 1115866, 1115576, 1115286,
1114997, 1114707, 1114418, 1114129, 1113840, 1113551,
1113263, 1112974, 1112686, 1112398, 1112110, 1111822,
1111534, 1111246, 1110959, 1110672, 1110385, 1110098,
1109811, 1109524, 1109237, 1108951, 1108665, 1108379,
1108093, 1107807, 1107521, 1107236, 1106950, 1106665,
1106380, 1106095, 1105810, 1105526, 1105241, 1104957,
1104673, 1104389, 1104105, 1103821, 1103537, 1103254,
1102971, 1102687, 1102404, 1102122, 1101839, 1101556,
1101274, 1100991, 1100709, 1100427, 1100145, 1099864,
1099582, 1099301, 1099019, 1098738, 1098457, 1098176,
1097896, 1097615, 1097335, 1097054, 1096774, 1096494,
1096214, 1095935, 1095655, 1095376, 1095096, 1094817,
1094538, 1094259, 1093981, 1093702, 1093424, 1093145,
1092867, 1092589, 1092311, 1092033, 1091756, 1091478,
1091201, 1090924, 1090647, 1090370, 1090093, 1089817,
1089540, 1089264, 1088988, 1088712, 1088436, 1088160,
1087884, 1087609, 1087334, 1087058, 1086783, 1086508,
1086234, 1085959, 1085684, 1085410, 1085136, 1084862,
1084588, 1084314, 1084040, 1083767, 1083493, 1083220,
1082947, 1082674, 1082401, 1082128, 1081856, 1081583,
1081311, 1081039, 1080767, 1080495, 1080223, 1079952,
1079680, 1079409, 1079138, 1078867, 1078596, 1078325,
1078054, 1077784, 1077513, 1077243, 1076973, 1076703,
1076433, 1076163, 1075894, 1075624, 1075355, 1075086,
1074817, 1074548, 1074279, 1074010, 1073742, 1073474,
1073205, 1072937, 1072669, 1072401, 1072134, 1071866,
1071599, 1071331, 1071064, 1070797, 1070530, 1070264,
1069997, 1069730, 1069464, 1069198, 1068932, 1068666,
1068400, 1068134, 1067869, 1067603, 1067338, 1067073,
1066808, 1066543, 1066278, 1066013, 1065749, 1065484,
1065220, 1064956, 1064692, 1064428, 1064164, 1063901,
1063637, 1063374, 1063111, 1062848, 1062585, 1062322,
1062059, 1061797, 1061534, 1061272, 1061010, 1060748,
1060486, 1060224, 1059962, 1059701, 1059439, 1059178,
1058917, 1058656, 1058395, 1058134, 1057874, 1057613,
1057353, 1057093, 1056833, 1056573, 1056313, 1056053,
1055793, 1055534, 1055275, 1055015, 1054756, 1054497,
1054238, 1053980, 1053721, 1053463, 1053204, 1052946,
1052688, 1052430, 1052172, 1051915, 1051657, 1051400,
1051142, 1050885, 1050628, 1050371, 1050114, 1049858,
1049601, 1049345, 1049088, 1048832, 1048576
};
// Divide num by div and return as 16.16 fixed point result.
int FixedDiv_C(int num, int div) {
if (static_cast<unsigned int>(div) <= 4097u) {
return static_cast<int>((static_cast<int64>(num) * kRecipTable[div]) >> 16);
}
return static_cast<int>((static_cast<int64>(num) << 16) / div);
}
#ifdef LIBYUV_LITTLE_ENDIAN
#define WRITEWORD(p, v) *reinterpret_cast<uint32*>(p) = v
#else
......
source/row_win.cc
View file @ 747ceb9f
......@@ -6602,6 +6602,30 @@ void I422ToUYVYRow_SSE2(const uint8* src_y,
ret
}
}
// Fixed point 0.32 reciprocal table.
extern const uint32 kRecipTable[4097];
// Divide num by div and return as 16.16 fixed point result.
__declspec(naked) __declspec(align(16))
int FixedDiv(int num, int div) {
__asm {
mov eax, [esp + 4] // num
mov ecx, [esp + 8] // div
cmp ecx, 4096
ja largediv
mul dword ptr kRecipTable[ecx * 4]
shrd eax, edx, 16
ret
largediv:
cwd // extend num to 64 bits
shld edx, eax, 16
shl eax, 16
idiv ecx
ret
}
}
#endif // !defined(LIBYUV_DISABLE_X86) && defined(_M_IX86) && defined(_MSC_VER)
#ifdef __cplusplus
......
unit_test/math_test.cc
View file @ 747ceb9f
......@@ -12,16 +12,12 @@
#include <string.h>
#include "libyuv/basic_types.h"
#include "libyuv/cpu_id.h"
#include "libyuv/row.h"
#include "../unit_test/unit_test.h"
namespace libyuv {
// Divide num by div and return value as 16.16 fixed point.
static int FixedDiv_C(int num, int div) {
return static_cast<int>((static_cast<int64>(num) << 16) / div);
}
TEST_F(libyuvTest, TestFixedDiv) {
int num[256];
int div[256];
......@@ -43,7 +39,7 @@ TEST_F(libyuvTest, TestFixedDiv) {
}
for (int j = 0; j < 256; ++j) {
result_c[j] = libyuv::FixedDiv_C(num[j], div[j]);
EXPECT_NEAR(result_c[j], result_opt[j], 3);
EXPECT_NEAR(result_c[j], result_opt[j], 1);
}
}
......@@ -64,8 +60,7 @@ TEST_F(libyuvTest, TestFixedDiv_Opt) {
EXPECT_EQ(0x20000, libyuv::FixedDiv(960 * 2, 960));
EXPECT_EQ(0x08000, libyuv::FixedDiv(640 / 2, 640));
EXPECT_EQ(0x04000, libyuv::FixedDiv(640 / 4, 640));
// TODO(fbarchard): Improve accuracy for divides should be exact.
EXPECT_NEAR(0x20000, libyuv::FixedDiv(1080 * 2, 1080), 1);
EXPECT_EQ(0x20000, libyuv::FixedDiv(1080 * 2, 1080));
srandom(time(NULL));
MemRandomize(reinterpret_cast<uint8*>(&num[0]), sizeof(num));
......@@ -77,14 +72,22 @@ TEST_F(libyuvTest, TestFixedDiv_Opt) {
div[j] = 1280;
}
}
int has_x86 = TestCpuFlag(kCpuHasX86);
for (int i = 0; i < benchmark_pixels_div256_; ++i) {
for (int j = 0; j < 256; ++j) {
result_opt[j] = libyuv::FixedDiv(num[j], div[j]);
if (has_x86) {
for (int j = 0; j < 256; ++j) {
result_opt[j] = libyuv::FixedDiv(num[j], div[j]);
}
} else {
for (int j = 0; j < 256; ++j) {
result_opt[j] = libyuv::FixedDiv_C(num[j], div[j]);
}
}
}
for (int j = 0; j < 256; ++j) {
result_c[j] = libyuv::FixedDiv_C(num[j], div[j]);
EXPECT_NEAR(result_c[j], result_opt[j], 3);
EXPECT_NEAR(result_c[j], result_opt[j], 1);
}
}
......
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