contrib/jemalloc/include/jemalloc/internal/smoothstep.h

   1 /*
   2  * This file was generated by the following command:
   3  *   sh smoothstep.sh smoother 200 24 3 15
   4  */
   5 /******************************************************************************/
   6 #ifdef JEMALLOC_H_TYPES
   7
   8 /*
   9  * This header defines a precomputed table based on the smoothstep family of
  10  * sigmoidal curves (https://en.wikipedia.org/wiki/Smoothstep) that grow from 0
  11  * to 1 in 0 <= x <= 1.  The table is stored as integer fixed point values so
  12  * that floating point math can be avoided.
  13  *
  14  *                      3     2
  15  *   smoothstep(x) = -2x  + 3x
  16  *
  17  *                       5      4      3
  18  *   smootherstep(x) = 6x  - 15x  + 10x
  19  *
  20  *                          7      6      5      4
  21  *   smootheststep(x) = -20x  + 70x  - 84x  + 35x
  22  */
  23
  24 #define SMOOTHSTEP_VARIANT      "smoother"
  25 #define SMOOTHSTEP_NSTEPS       200
  26 #define SMOOTHSTEP_BFP          24
  27 #define SMOOTHSTEP \
  28  /* STEP(step, h,                            x,     y) */ \
  29     STEP(   1, UINT64_C(0x0000000000000014), 0.005, 0.000001240643750) \
  30     STEP(   2, UINT64_C(0x00000000000000a5), 0.010, 0.000009850600000) \
  31     STEP(   3, UINT64_C(0x0000000000000229), 0.015, 0.000032995181250) \
  32     STEP(   4, UINT64_C(0x0000000000000516), 0.020, 0.000077619200000) \
  33     STEP(   5, UINT64_C(0x00000000000009dc), 0.025, 0.000150449218750) \
  34     STEP(   6, UINT64_C(0x00000000000010e8), 0.030, 0.000257995800000) \
  35     STEP(   7, UINT64_C(0x0000000000001aa4), 0.035, 0.000406555756250) \
  36     STEP(   8, UINT64_C(0x0000000000002777), 0.040, 0.000602214400000) \
  37     STEP(   9, UINT64_C(0x00000000000037c2), 0.045, 0.000850847793750) \
  38     STEP(  10, UINT64_C(0x0000000000004be6), 0.050, 0.001158125000000) \
  39     STEP(  11, UINT64_C(0x000000000000643c), 0.055, 0.001529510331250) \
  40     STEP(  12, UINT64_C(0x000000000000811f), 0.060, 0.001970265600000) \
  41     STEP(  13, UINT64_C(0x000000000000a2e2), 0.065, 0.002485452368750) \
  42     STEP(  14, UINT64_C(0x000000000000c9d8), 0.070, 0.003079934200000) \
  43     STEP(  15, UINT64_C(0x000000000000f64f), 0.075, 0.003758378906250) \
  44     STEP(  16, UINT64_C(0x0000000000012891), 0.080, 0.004525260800000) \
  45     STEP(  17, UINT64_C(0x00000000000160e7), 0.085, 0.005384862943750) \
  46     STEP(  18, UINT64_C(0x0000000000019f95), 0.090, 0.006341279400000) \
  47     STEP(  19, UINT64_C(0x000000000001e4dc), 0.095, 0.007398417481250) \
  48     STEP(  20, UINT64_C(0x00000000000230fc), 0.100, 0.008560000000000) \
  49     STEP(  21, UINT64_C(0x0000000000028430), 0.105, 0.009829567518750) \
  50     STEP(  22, UINT64_C(0x000000000002deb0), 0.110, 0.011210480600000) \
  51     STEP(  23, UINT64_C(0x00000000000340b1), 0.115, 0.012705922056250) \
  52     STEP(  24, UINT64_C(0x000000000003aa67), 0.120, 0.014318899200000) \
  53     STEP(  25, UINT64_C(0x0000000000041c00), 0.125, 0.016052246093750) \
  54     STEP(  26, UINT64_C(0x00000000000495a8), 0.130, 0.017908625800000) \
  55     STEP(  27, UINT64_C(0x000000000005178b), 0.135, 0.019890532631250) \
  56     STEP(  28, UINT64_C(0x000000000005a1cf), 0.140, 0.022000294400000) \
  57     STEP(  29, UINT64_C(0x0000000000063498), 0.145, 0.024240074668750) \
  58     STEP(  30, UINT64_C(0x000000000006d009), 0.150, 0.026611875000000) \
  59     STEP(  31, UINT64_C(0x000000000007743f), 0.155, 0.029117537206250) \
  60     STEP(  32, UINT64_C(0x0000000000082157), 0.160, 0.031758745600000) \
  61     STEP(  33, UINT64_C(0x000000000008d76b), 0.165, 0.034537029243750) \
  62     STEP(  34, UINT64_C(0x0000000000099691), 0.170, 0.037453764200000) \
  63     STEP(  35, UINT64_C(0x00000000000a5edf), 0.175, 0.040510175781250) \
  64     STEP(  36, UINT64_C(0x00000000000b3067), 0.180, 0.043707340800000) \
  65     STEP(  37, UINT64_C(0x00000000000c0b38), 0.185, 0.047046189818750) \
  66     STEP(  38, UINT64_C(0x00000000000cef5e), 0.190, 0.050527509400000) \
  67     STEP(  39, UINT64_C(0x00000000000ddce6), 0.195, 0.054151944356250) \
  68     STEP(  40, UINT64_C(0x00000000000ed3d8), 0.200, 0.057920000000000) \
  69     STEP(  41, UINT64_C(0x00000000000fd439), 0.205, 0.061832044393750) \
  70     STEP(  42, UINT64_C(0x000000000010de0e), 0.210, 0.065888310600000) \
  71     STEP(  43, UINT64_C(0x000000000011f158), 0.215, 0.070088898931250) \
  72     STEP(  44, UINT64_C(0x0000000000130e17), 0.220, 0.074433779200000) \
  73     STEP(  45, UINT64_C(0x0000000000143448), 0.225, 0.078922792968750) \
  74     STEP(  46, UINT64_C(0x00000000001563e7), 0.230, 0.083555655800000) \
  75     STEP(  47, UINT64_C(0x0000000000169cec), 0.235, 0.088331959506250) \
  76     STEP(  48, UINT64_C(0x000000000017df4f), 0.240, 0.093251174400000) \
  77     STEP(  49, UINT64_C(0x0000000000192b04), 0.245, 0.098312651543750) \
  78     STEP(  50, UINT64_C(0x00000000001a8000), 0.250, 0.103515625000000) \
  79     STEP(  51, UINT64_C(0x00000000001bde32), 0.255, 0.108859214081250) \
  80     STEP(  52, UINT64_C(0x00000000001d458b), 0.260, 0.114342425600000) \
  81     STEP(  53, UINT64_C(0x00000000001eb5f8), 0.265, 0.119964156118750) \
  82     STEP(  54, UINT64_C(0x0000000000202f65), 0.270, 0.125723194200000) \
  83     STEP(  55, UINT64_C(0x000000000021b1bb), 0.275, 0.131618222656250) \
  84     STEP(  56, UINT64_C(0x0000000000233ce3), 0.280, 0.137647820800000) \
  85     STEP(  57, UINT64_C(0x000000000024d0c3), 0.285, 0.143810466693750) \
  86     STEP(  58, UINT64_C(0x0000000000266d40), 0.290, 0.150104539400000) \
  87     STEP(  59, UINT64_C(0x000000000028123d), 0.295, 0.156528321231250) \
  88     STEP(  60, UINT64_C(0x000000000029bf9c), 0.300, 0.163080000000000) \
  89     STEP(  61, UINT64_C(0x00000000002b753d), 0.305, 0.169757671268750) \
  90     STEP(  62, UINT64_C(0x00000000002d32fe), 0.310, 0.176559340600000) \
  91     STEP(  63, UINT64_C(0x00000000002ef8bc), 0.315, 0.183482925806250) \
  92     STEP(  64, UINT64_C(0x000000000030c654), 0.320, 0.190526259200000) \
  93     STEP(  65, UINT64_C(0x0000000000329b9f), 0.325, 0.197687089843750) \
  94     STEP(  66, UINT64_C(0x0000000000347875), 0.330, 0.204963085800000) \
  95     STEP(  67, UINT64_C(0x0000000000365cb0), 0.335, 0.212351836381250) \
  96     STEP(  68, UINT64_C(0x0000000000384825), 0.340, 0.219850854400000) \
  97     STEP(  69, UINT64_C(0x00000000003a3aa8), 0.345, 0.227457578418750) \
  98     STEP(  70, UINT64_C(0x00000000003c340f), 0.350, 0.235169375000000) \
  99     STEP(  71, UINT64_C(0x00000000003e342b), 0.355, 0.242983540956250) \
 100     STEP(  72, UINT64_C(0x0000000000403ace), 0.360, 0.250897305600000) \
 101     STEP(  73, UINT64_C(0x00000000004247c8), 0.365, 0.258907832993750) \
 102     STEP(  74, UINT64_C(0x0000000000445ae9), 0.370, 0.267012224200000) \
 103     STEP(  75, UINT64_C(0x0000000000467400), 0.375, 0.275207519531250) \
 104     STEP(  76, UINT64_C(0x00000000004892d8), 0.380, 0.283490700800000) \
 105     STEP(  77, UINT64_C(0x00000000004ab740), 0.385, 0.291858693568750) \
 106     STEP(  78, UINT64_C(0x00000000004ce102), 0.390, 0.300308369400000) \
 107     STEP(  79, UINT64_C(0x00000000004f0fe9), 0.395, 0.308836548106250) \
 108     STEP(  80, UINT64_C(0x00000000005143bf), 0.400, 0.317440000000000) \
 109     STEP(  81, UINT64_C(0x0000000000537c4d), 0.405, 0.326115448143750) \
 110     STEP(  82, UINT64_C(0x000000000055b95b), 0.410, 0.334859570600000) \
 111     STEP(  83, UINT64_C(0x000000000057fab1), 0.415, 0.343669002681250) \
 112     STEP(  84, UINT64_C(0x00000000005a4015), 0.420, 0.352540339200000) \
 113     STEP(  85, UINT64_C(0x00000000005c894e), 0.425, 0.361470136718750) \
 114     STEP(  86, UINT64_C(0x00000000005ed622), 0.430, 0.370454915800000) \
 115     STEP(  87, UINT64_C(0x0000000000612655), 0.435, 0.379491163256250) \
 116     STEP(  88, UINT64_C(0x00000000006379ac), 0.440, 0.388575334400000) \
 117     STEP(  89, UINT64_C(0x000000000065cfeb), 0.445, 0.397703855293750) \
 118     STEP(  90, UINT64_C(0x00000000006828d6), 0.450, 0.406873125000000) \
 119     STEP(  91, UINT64_C(0x00000000006a842f), 0.455, 0.416079517831250) \
 120     STEP(  92, UINT64_C(0x00000000006ce1bb), 0.460, 0.425319385600000) \
 121     STEP(  93, UINT64_C(0x00000000006f413a), 0.465, 0.434589059868750) \
 122     STEP(  94, UINT64_C(0x000000000071a270), 0.470, 0.443884854200000) \
 123     STEP(  95, UINT64_C(0x000000000074051d), 0.475, 0.453203066406250) \
 124     STEP(  96, UINT64_C(0x0000000000766905), 0.480, 0.462539980800000) \
 125     STEP(  97, UINT64_C(0x000000000078cde7), 0.485, 0.471891870443750) \
 126     STEP(  98, UINT64_C(0x00000000007b3387), 0.490, 0.481254999400000) \
 127     STEP(  99, UINT64_C(0x00000000007d99a4), 0.495, 0.490625624981250) \
 128     STEP( 100, UINT64_C(0x0000000000800000), 0.500, 0.500000000000000) \
 129     STEP( 101, UINT64_C(0x000000000082665b), 0.505, 0.509374375018750) \
 130     STEP( 102, UINT64_C(0x000000000084cc78), 0.510, 0.518745000600000) \
 131     STEP( 103, UINT64_C(0x0000000000873218), 0.515, 0.528108129556250) \
 132     STEP( 104, UINT64_C(0x00000000008996fa), 0.520, 0.537460019200000) \
 133     STEP( 105, UINT64_C(0x00000000008bfae2), 0.525, 0.546796933593750) \
 134     STEP( 106, UINT64_C(0x00000000008e5d8f), 0.530, 0.556115145800000) \
 135     STEP( 107, UINT64_C(0x000000000090bec5), 0.535, 0.565410940131250) \
 136     STEP( 108, UINT64_C(0x0000000000931e44), 0.540, 0.574680614400000) \
 137     STEP( 109, UINT64_C(0x0000000000957bd0), 0.545, 0.583920482168750) \
 138     STEP( 110, UINT64_C(0x000000000097d729), 0.550, 0.593126875000000) \
 139     STEP( 111, UINT64_C(0x00000000009a3014), 0.555, 0.602296144706250) \
 140     STEP( 112, UINT64_C(0x00000000009c8653), 0.560, 0.611424665600000) \
 141     STEP( 113, UINT64_C(0x00000000009ed9aa), 0.565, 0.620508836743750) \
 142     STEP( 114, UINT64_C(0x0000000000a129dd), 0.570, 0.629545084200000) \
 143     STEP( 115, UINT64_C(0x0000000000a376b1), 0.575, 0.638529863281250) \
 144     STEP( 116, UINT64_C(0x0000000000a5bfea), 0.580, 0.647459660800000) \
 145     STEP( 117, UINT64_C(0x0000000000a8054e), 0.585, 0.656330997318750) \
 146     STEP( 118, UINT64_C(0x0000000000aa46a4), 0.590, 0.665140429400000) \
 147     STEP( 119, UINT64_C(0x0000000000ac83b2), 0.595, 0.673884551856250) \
 148     STEP( 120, UINT64_C(0x0000000000aebc40), 0.600, 0.682560000000000) \
 149     STEP( 121, UINT64_C(0x0000000000b0f016), 0.605, 0.691163451893750) \
 150     STEP( 122, UINT64_C(0x0000000000b31efd), 0.610, 0.699691630600000) \
 151     STEP( 123, UINT64_C(0x0000000000b548bf), 0.615, 0.708141306431250) \
 152     STEP( 124, UINT64_C(0x0000000000b76d27), 0.620, 0.716509299200000) \
 153     STEP( 125, UINT64_C(0x0000000000b98c00), 0.625, 0.724792480468750) \
 154     STEP( 126, UINT64_C(0x0000000000bba516), 0.630, 0.732987775800000) \
 155     STEP( 127, UINT64_C(0x0000000000bdb837), 0.635, 0.741092167006250) \
 156     STEP( 128, UINT64_C(0x0000000000bfc531), 0.640, 0.749102694400000) \
 157     STEP( 129, UINT64_C(0x0000000000c1cbd4), 0.645, 0.757016459043750) \
 158     STEP( 130, UINT64_C(0x0000000000c3cbf0), 0.650, 0.764830625000000) \
 159     STEP( 131, UINT64_C(0x0000000000c5c557), 0.655, 0.772542421581250) \
 160     STEP( 132, UINT64_C(0x0000000000c7b7da), 0.660, 0.780149145600000) \
 161     STEP( 133, UINT64_C(0x0000000000c9a34f), 0.665, 0.787648163618750) \
 162     STEP( 134, UINT64_C(0x0000000000cb878a), 0.670, 0.795036914200000) \
 163     STEP( 135, UINT64_C(0x0000000000cd6460), 0.675, 0.802312910156250) \
 164     STEP( 136, UINT64_C(0x0000000000cf39ab), 0.680, 0.809473740800000) \
 165     STEP( 137, UINT64_C(0x0000000000d10743), 0.685, 0.816517074193750) \
 166     STEP( 138, UINT64_C(0x0000000000d2cd01), 0.690, 0.823440659400000) \
 167     STEP( 139, UINT64_C(0x0000000000d48ac2), 0.695, 0.830242328731250) \
 168     STEP( 140, UINT64_C(0x0000000000d64063), 0.700, 0.836920000000000) \
 169     STEP( 141, UINT64_C(0x0000000000d7edc2), 0.705, 0.843471678768750) \
 170     STEP( 142, UINT64_C(0x0000000000d992bf), 0.710, 0.849895460600000) \
 171     STEP( 143, UINT64_C(0x0000000000db2f3c), 0.715, 0.856189533306250) \
 172     STEP( 144, UINT64_C(0x0000000000dcc31c), 0.720, 0.862352179200000) \
 173     STEP( 145, UINT64_C(0x0000000000de4e44), 0.725, 0.868381777343750) \
 174     STEP( 146, UINT64_C(0x0000000000dfd09a), 0.730, 0.874276805800000) \
 175     STEP( 147, UINT64_C(0x0000000000e14a07), 0.735, 0.880035843881250) \
 176     STEP( 148, UINT64_C(0x0000000000e2ba74), 0.740, 0.885657574400000) \
 177     STEP( 149, UINT64_C(0x0000000000e421cd), 0.745, 0.891140785918750) \
 178     STEP( 150, UINT64_C(0x0000000000e58000), 0.750, 0.896484375000000) \
 179     STEP( 151, UINT64_C(0x0000000000e6d4fb), 0.755, 0.901687348456250) \
 180     STEP( 152, UINT64_C(0x0000000000e820b0), 0.760, 0.906748825600000) \
 181     STEP( 153, UINT64_C(0x0000000000e96313), 0.765, 0.911668040493750) \
 182     STEP( 154, UINT64_C(0x0000000000ea9c18), 0.770, 0.916444344200000) \
 183     STEP( 155, UINT64_C(0x0000000000ebcbb7), 0.775, 0.921077207031250) \
 184     STEP( 156, UINT64_C(0x0000000000ecf1e8), 0.780, 0.925566220800000) \
 185     STEP( 157, UINT64_C(0x0000000000ee0ea7), 0.785, 0.929911101068750) \
 186     STEP( 158, UINT64_C(0x0000000000ef21f1), 0.790, 0.934111689400000) \
 187     STEP( 159, UINT64_C(0x0000000000f02bc6), 0.795, 0.938167955606250) \
 188     STEP( 160, UINT64_C(0x0000000000f12c27), 0.800, 0.942080000000000) \
 189     STEP( 161, UINT64_C(0x0000000000f22319), 0.805, 0.945848055643750) \
 190     STEP( 162, UINT64_C(0x0000000000f310a1), 0.810, 0.949472490600000) \
 191     STEP( 163, UINT64_C(0x0000000000f3f4c7), 0.815, 0.952953810181250) \
 192     STEP( 164, UINT64_C(0x0000000000f4cf98), 0.820, 0.956292659200000) \
 193     STEP( 165, UINT64_C(0x0000000000f5a120), 0.825, 0.959489824218750) \
 194     STEP( 166, UINT64_C(0x0000000000f6696e), 0.830, 0.962546235800000) \
 195     STEP( 167, UINT64_C(0x0000000000f72894), 0.835, 0.965462970756250) \
 196     STEP( 168, UINT64_C(0x0000000000f7dea8), 0.840, 0.968241254400000) \
 197     STEP( 169, UINT64_C(0x0000000000f88bc0), 0.845, 0.970882462793750) \
 198     STEP( 170, UINT64_C(0x0000000000f92ff6), 0.850, 0.973388125000000) \
 199     STEP( 171, UINT64_C(0x0000000000f9cb67), 0.855, 0.975759925331250) \
 200     STEP( 172, UINT64_C(0x0000000000fa5e30), 0.860, 0.977999705600000) \
 201     STEP( 173, UINT64_C(0x0000000000fae874), 0.865, 0.980109467368750) \
 202     STEP( 174, UINT64_C(0x0000000000fb6a57), 0.870, 0.982091374200000) \
 203     STEP( 175, UINT64_C(0x0000000000fbe400), 0.875, 0.983947753906250) \
 204     STEP( 176, UINT64_C(0x0000000000fc5598), 0.880, 0.985681100800000) \
 205     STEP( 177, UINT64_C(0x0000000000fcbf4e), 0.885, 0.987294077943750) \
 206     STEP( 178, UINT64_C(0x0000000000fd214f), 0.890, 0.988789519400000) \
 207     STEP( 179, UINT64_C(0x0000000000fd7bcf), 0.895, 0.990170432481250) \
 208     STEP( 180, UINT64_C(0x0000000000fdcf03), 0.900, 0.991440000000000) \
 209     STEP( 181, UINT64_C(0x0000000000fe1b23), 0.905, 0.992601582518750) \
 210     STEP( 182, UINT64_C(0x0000000000fe606a), 0.910, 0.993658720600000) \
 211     STEP( 183, UINT64_C(0x0000000000fe9f18), 0.915, 0.994615137056250) \
 212     STEP( 184, UINT64_C(0x0000000000fed76e), 0.920, 0.995474739200000) \
 213     STEP( 185, UINT64_C(0x0000000000ff09b0), 0.925, 0.996241621093750) \
 214     STEP( 186, UINT64_C(0x0000000000ff3627), 0.930, 0.996920065800000) \
 215     STEP( 187, UINT64_C(0x0000000000ff5d1d), 0.935, 0.997514547631250) \
 216     STEP( 188, UINT64_C(0x0000000000ff7ee0), 0.940, 0.998029734400000) \
 217     STEP( 189, UINT64_C(0x0000000000ff9bc3), 0.945, 0.998470489668750) \
 218     STEP( 190, UINT64_C(0x0000000000ffb419), 0.950, 0.998841875000000) \
 219     STEP( 191, UINT64_C(0x0000000000ffc83d), 0.955, 0.999149152206250) \
 220     STEP( 192, UINT64_C(0x0000000000ffd888), 0.960, 0.999397785600000) \
 221     STEP( 193, UINT64_C(0x0000000000ffe55b), 0.965, 0.999593444243750) \
 222     STEP( 194, UINT64_C(0x0000000000ffef17), 0.970, 0.999742004200000) \
 223     STEP( 195, UINT64_C(0x0000000000fff623), 0.975, 0.999849550781250) \
 224     STEP( 196, UINT64_C(0x0000000000fffae9), 0.980, 0.999922380800000) \
 225     STEP( 197, UINT64_C(0x0000000000fffdd6), 0.985, 0.999967004818750) \
 226     STEP( 198, UINT64_C(0x0000000000ffff5a), 0.990, 0.999990149400000) \
 227     STEP( 199, UINT64_C(0x0000000000ffffeb), 0.995, 0.999998759356250) \
 228     STEP( 200, UINT64_C(0x0000000001000000), 1.000, 1.000000000000000) \
 229
 230 #endif /* JEMALLOC_H_TYPES */
 231 /******************************************************************************/
 232 #ifdef JEMALLOC_H_STRUCTS
 233
 234
 235 #endif /* JEMALLOC_H_STRUCTS */
 236 /******************************************************************************/
 237 #ifdef JEMALLOC_H_EXTERNS
 238
 239
 240 #endif /* JEMALLOC_H_EXTERNS */
 241 /******************************************************************************/
 242 #ifdef JEMALLOC_H_INLINES
 243
 244
 245 #endif /* JEMALLOC_H_INLINES */
 246 /******************************************************************************/