1 /************************************************************************
2 FAUST Architecture File
3 Copyright (C) 2017-2019 GRAME, Centre National de Creation Musicale
4 ---------------------------------------------------------------------
5 This Architecture section is free software; you can redistribute it
6 and/or modify it under the terms of the GNU General Public License
7 as published by the Free Software Foundation; either version 3 of
8 the License, or (at your option) any later version.
9
10 This program is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 GNU General Public License for more details.
14
15 You should have received a copy of the GNU General Public License
16 along with this program; If not, see <http://www.gnu.org/licenses/>.
17
18 EXCEPTION : As a special exception, you may create a larger work
19 that contains this FAUST architecture section and distribute
20 that work under terms of your choice, so long as this FAUST
21 architecture section is not modified.
22
23 Code taken and adapted from the OWL project: https://hoxtonowl.com
24 ************************************************************************/
25
26 #include <stdint.h>
27
28 #ifdef __cplusplus
29 #include <cmath>
30 #else
31 #include <math.h>
32 #endif
33
34 #ifdef _WIN32
35 #define EXPORT __declspec(dllexport) __attribute__((always_inline))
36 #else
37 #define EXPORT __attribute__ ((visibility("default"))) __attribute__((always_inline))
38 #endif
39
40 #ifdef __cplusplus
41 extern "C" {
42 #endif
43
44 // float version
fast_fabsf(float x)45 EXPORT float fast_fabsf(float x) { return fabsf(x); }
fast_acosf(float x)46 EXPORT float fast_acosf(float x) { return acosf(x); }
fast_asinf(float x)47 EXPORT float fast_asinf(float x) { return asinf(x); }
fast_atanf(float x)48 EXPORT float fast_atanf(float x) { return atanf(x); }
fast_atan2f(float x,float y)49 EXPORT float fast_atan2f(float x, float y) { return atan2f(x, y); }
fast_ceilf(float x)50 EXPORT float fast_ceilf(float x) { return ceilf(x); }
fast_cosf(float x)51 EXPORT float fast_cosf(float x) { return cosf(x); }
52 EXPORT float fast_expf(float x);
53 EXPORT float fast_exp2f(float x);
54 EXPORT float fast_exp10f(float x);
fast_floorf(float x)55 EXPORT float fast_floorf(float x) { return floorf(x); }
fast_fmodf(float x,float y)56 EXPORT float fast_fmodf(float x, float y) { return fmodf(x, y); }
57 EXPORT float fast_logf(float x);
58 EXPORT float fast_log2f(float x);
59 EXPORT float fast_log10f(float x);
60 EXPORT float fast_powf(float x, float y);
fast_remainderf(float x,float y)61 EXPORT float fast_remainderf(float x, float y) { return remainderf(x, y); }
fast_rintf(float x)62 EXPORT float fast_rintf(float x) { return rintf(x); }
fast_roundf(float x)63 EXPORT float fast_roundf(float x) { return roundf(x); }
fast_sinf(float x)64 EXPORT float fast_sinf(float x) { return sinf(x); }
fast_sqrtf(float x)65 EXPORT float fast_sqrtf(float x) { return sqrtf(x); }
fast_tanf(float x)66 EXPORT float fast_tanf(float x) { return tanf(x); }
67
68 // double version
fast_fabs(double x)69 EXPORT double fast_fabs(double x) { return fabs(x); }
fast_acos(double x)70 EXPORT double fast_acos(double x) { return acos(x); }
fast_asin(double x)71 EXPORT double fast_asin(double x) { return asin(x); }
fast_atan(double x)72 EXPORT double fast_atan(double x) { return atan(x); }
fast_atan2(double x,double y)73 EXPORT double fast_atan2(double x, double y) { return atan2(x, y); }
fast_ceil(double x)74 EXPORT double fast_ceil(double x) { return ceil(x); }
fast_cos(double x)75 EXPORT double fast_cos(double x) { return cos(x); }
76 EXPORT double fast_exp(double x);
77 EXPORT double fast_exp2(double x);
78 EXPORT double fast_exp10(double x);
fast_floor(double x)79 EXPORT double fast_floor(double x) { return floor(x); }
fast_fmod(double x,double y)80 EXPORT double fast_fmod(double x, double y) { return fmod(x, y); }
81 EXPORT double fast_log(double x);
82 EXPORT double fast_log2(double x);
83 EXPORT double fast_log10(double x);
84 EXPORT double fast_pow(double x, double y);
fast_remainder(double x,double y)85 EXPORT double fast_remainder(double x, double y) { return remainder(x, y); }
fast_rint(double x)86 EXPORT double fast_rint(double x) { return rint(x); }
fast_round(double x)87 EXPORT double fast_round(double x) { return round(x); }
fast_sin(double x)88 EXPORT double fast_sin(double x) { return sin(x); }
fast_sqrt(double x)89 EXPORT double fast_sqrt(double x) { return sqrt(x); }
fast_tan(double x)90 EXPORT double fast_tan(double x) { return tan(x); }
91
92 #ifdef __cplusplus
93 }
94 #endif
95
96 /* fast log lookup table, precision 16, size 65536 */
97 const uint32_t fast_log_precision = 16;
98 const uint32_t fast_log_table_size = 65536;
99 const float fast_log_table[65536] = {
100 1.100685e-05, 3.302029e-05, 5.503340e-05, 7.704617e-05, 9.905860e-05, 1.210707e-04, 1.430825e-04, 1.650939e-04, 1.871050e-04, 2.091158e-04, 2.311262e-04, 2.531362e-04, 2.751460e-04, 2.971554e-04, 3.191645e-04, 3.411732e-04, 3.631816e-04, 3.851897e-04, 4.071974e-04, 4.292048e-04, 4.512119e-04, 4.732186e-04, 4.952250e-04, 5.172311e-04, 5.392368e-04, 5.612422e-04, 5.832472e-04, 6.052519e-04, 6.272563e-04, 6.492604e-04, 6.712641e-04, 6.932674e-04, 7.152705e-04, 7.372731e-04, 7.592755e-04, 7.812775e-04, 8.032792e-04, 8.252807e-04, 8.472817e-04, 8.692823e-04, 8.912827e-04, 9.132827e-04, 9.352824e-04, 9.572817e-04, 9.792807e-04, 1.001279e-03, 1.023278e-03, 1.045276e-03, 1.067273e-03, 1.089271e-03, 1.111268e-03, 1.133264e-03, 1.155261e-03, 1.177257e-03, 1.199252e-03, 1.221248e-03, 1.243243e-03, 1.265237e-03, 1.287232e-03, 1.309226e-03, 1.331219e-03, 1.353213e-03, 1.375205e-03, 1.397198e-03, 1.419190e-03, 1.441183e-03, 1.463174e-03, 1.485165e-03, 1.507156e-03, 1.529147e-03, 1.551137e-03, 1.573127e-03, 1.595117e-03, 1.617106e-03, 1.639095e-03, 1.661084e-03, 1.683072e-03, 1.705060e-03, 1.727048e-03, 1.749035e-03, 1.771022e-03, 1.793008e-03, 1.814994e-03, 1.836981e-03, 1.858966e-03, 1.880951e-03, 1.902936e-03, 1.924921e-03, 1.946905e-03, 1.968889e-03, 1.990873e-03, 2.012856e-03, 2.034839e-03, 2.056821e-03, 2.078804e-03, 2.100786e-03, 2.122767e-03, 2.144748e-03, 2.166729e-03, 2.188710e-03, 2.210690e-03, 2.232670e-03, 2.254650e-03, 2.276629e-03, 2.298608e-03, 2.320586e-03, 2.342565e-03, 2.364542e-03, 2.386520e-03, 2.408497e-03, 2.430474e-03, 2.452451e-03, 2.474427e-03, 2.496403e-03, 2.518378e-03, 2.540353e-03, 2.562328e-03, 2.584303e-03, 2.606277e-03, 2.628251e-03, 2.650225e-03, 2.672198e-03, 2.694171e-03, 2.716143e-03, 2.738115e-03, 2.760087e-03, 2.782059e-03, 2.804030e-03, 2.826001e-03, 2.847972e-03, 2.869942e-03, 2.891911e-03, 2.913881e-03, 2.935850e-03, 2.957819e-03, 2.979788e-03, 3.001756e-03, 3.023724e-03, 3.045691e-03, 3.067659e-03, 3.089625e-03, 3.111592e-03, 3.133558e-03, 3.155524e-03, 3.177489e-03, 3.199455e-03, 3.221419e-03, 3.243384e-03, 3.265348e-03, 3.287312e-03, 3.309275e-03, 3.331239e-03, 3.353202e-03, 3.375164e-03, 3.397126e-03, 3.419088e-03, 3.441049e-03, 3.463011e-03, 3.484971e-03, 3.506932e-03, 3.528892e-03, 3.550852e-03, 3.572812e-03, 3.594771e-03, 3.616729e-03, 3.638688e-03, 3.660646e-03, 3.682604e-03, 3.704561e-03, 3.726519e-03, 3.748475e-03, 3.770432e-03, 3.792388e-03, 3.814344e-03, 3.836300e-03, 3.858255e-03, 3.880210e-03, 3.902164e-03, 3.924118e-03, 3.946071e-03, 3.968026e-03, 3.989978e-03, 4.011931e-03, 4.033884e-03, 4.055836e-03, 4.077788e-03, 4.099739e-03, 4.121690e-03, 4.143641e-03, 4.165591e-03, 4.187542e-03, 4.209492e-03, 4.231441e-03, 4.253390e-03, 4.275339e-03, 4.297288e-03, 4.319235e-03, 4.341183e-03, 4.363131e-03, 4.385078e-03, 4.407025e-03, 4.428971e-03, 4.450917e-03, 4.472863e-03, 4.494809e-03, 4.516754e-03, 4.538699e-03, 4.560643e-03, 4.582587e-03, 4.604531e-03, 4.626474e-03, 4.648418e-03, 4.670361e-03, 4.692303e-03, 4.714245e-03, 4.736187e-03, 4.758128e-03, 4.780069e-03, 4.802010e-03, 4.823951e-03, 4.845891e-03, 4.867830e-03, 4.889770e-03, 4.911709e-03, 4.933648e-03, 4.955587e-03, 4.977525e-03, 4.999463e-03, 5.021400e-03, 5.043337e-03, 5.065273e-03, 5.087210e-03, 5.109146e-03, 5.131082e-03, 5.153018e-03, 5.174953e-03, 5.196888e-03, 5.218822e-03, 5.240756e-03, 5.262690e-03, 5.284623e-03, 5.306556e-03, 5.328489e-03, 5.350422e-03, 5.372354e-03, 5.394286e-03, 5.416217e-03, 5.438148e-03, 5.460079e-03, 5.482010e-03, 5.503939e-03, 5.525869e-03, 5.547799e-03, 5.569728e-03, 5.591657e-03, 5.613585e-03, 5.635513e-03, 5.657441e-03, 5.679369e-03, 5.701296e-03, 5.723223e-03, 5.745149e-03, 5.767075e-03, 5.789001e-03, 5.810926e-03, 5.832851e-03, 5.854776e-03, 5.876700e-03, 5.898625e-03, 5.920548e-03, 5.942472e-03, 5.964395e-03, 5.986318e-03, 6.008240e-03, 6.030162e-03, 6.052084e-03, 6.074006e-03, 6.095927e-03, 6.117847e-03, 6.139768e-03, 6.161688e-03, 6.183608e-03, 6.205528e-03, 6.227447e-03, 6.249365e-03, 6.271284e-03, 6.293202e-03, 6.315120e-03, 6.337037e-03, 6.358955e-03, 6.380871e-03, 6.402788e-03, 6.424704e-03, 6.446620e-03, 6.468535e-03, 6.490450e-03, 6.512365e-03, 6.534279e-03, 6.556194e-03, 6.578107e-03, 6.600021e-03, 6.621934e-03, 6.643847e-03, 6.665759e-03, 6.687671e-03, 6.709583e-03, 6.731494e-03, 6.753406e-03, 6.775316e-03, 6.797227e-03, 6.819137e-03, 6.841047e-03, 6.862956e-03, 6.884866e-03, 6.906774e-03, 6.928683e-03, 6.950591e-03, 6.972499e-03, 6.994406e-03, 7.016314e-03, 7.038220e-03, 7.060127e-03, 7.082033e-03, 7.103939e-03, 7.125845e-03, 7.147749e-03, 7.169655e-03, 7.191559e-03, 7.213463e-03, 7.235366e-03, 7.257270e-03, 7.279173e-03, 7.301076e-03, 7.322978e-03, 7.344881e-03, 7.366783e-03, 7.388684e-03, 7.410585e-03, 7.432486e-03, 7.454386e-03, 7.476286e-03, 7.498186e-03, 7.520086e-03, 7.541985e-03, 7.563884e-03, 7.585783e-03, 7.607681e-03, 7.629578e-03, 7.651476e-03, 7.673373e-03, 7.695270e-03, 7.717167e-03, 7.739063e-03, 7.760958e-03, 7.782854e-03, 7.804750e-03, 7.826644e-03, 7.848538e-03, 7.870433e-03, 7.892326e-03, 7.914220e-03, 7.936114e-03, 7.958006e-03, 7.979899e-03, 8.001791e-03, 8.023683e-03, 8.045574e-03, 8.067465e-03, 8.089356e-03, 8.111247e-03, 8.133137e-03, 8.155027e-03, 8.176916e-03, 8.198805e-03, 8.220694e-03, 8.242583e-03, 8.264471e-03, 8.286359e-03, 8.308247e-03, 8.330134e-03, 8.352021e-03, 8.373907e-03, 8.395793e-03, 8.417679e-03, 8.439565e-03, 8.461449e-03, 8.483335e-03, 8.505220e-03, 8.527104e-03, 8.548987e-03, 8.570871e-03, 8.592755e-03, 8.614637e-03, 8.636520e-03, 8.658402e-03, 8.680284e-03, 8.702165e-03, 8.724046e-03, 8.745927e-03, 8.767808e-03, 8.789688e-03, 8.811568e-03, 8.833448e-03, 8.855327e-03, 8.877206e-03, 8.899084e-03, 8.920962e-03, 8.942841e-03, 8.964718e-03, 8.986595e-03, 9.008473e-03, 9.030349e-03, 9.052225e-03, 9.074101e-03, 9.095977e-03, 9.117852e-03, 9.139727e-03, 9.161602e-03, 9.183476e-03, 9.205350e-03, 9.227224e-03, 9.249097e-03, 9.270969e-03, 9.292842e-03, 9.314715e-03, 9.336586e-03, 9.358458e-03, 9.380329e-03, 9.402201e-03, 9.424071e-03, 9.445941e-03, 9.467810e-03, 9.489681e-03, 9.511550e-03, 9.533419e-03, 9.555288e-03, 9.577155e-03, 9.599023e-03, 9.620892e-03, 9.642758e-03, 9.664626e-03, 9.686492e-03, 9.708359e-03, 9.730224e-03, 9.752090e-03, 9.773956e-03, 9.795820e-03, 9.817685e-03, 9.839550e-03, 9.861413e-03, 9.883277e-03, 9.905141e-03, 9.927003e-03, 9.948866e-03, 9.970728e-03, 9.992590e-03, 1.001445e-02, 1.003631e-02, 1.005817e-02, 1.008003e-02, 1.010190e-02, 1.012376e-02, 1.014561e-02, 1.016747e-02, 1.018933e-02, 1.021119e-02, 1.023305e-02, 1.025491e-02, 1.027677e-02, 1.029862e-02, 1.032048e-02, 1.034234e-02, 1.036419e-02, 1.038605e-02, 1.040791e-02, 1.042976e-02, 1.045162e-02, 1.047347e-02, 1.049533e-02, 1.051718e-02, 1.053903e-02, 1.056089e-02, 1.058274e-02, 1.060459e-02, 1.062644e-02, 1.064830e-02, 1.067015e-02, 1.069200e-02, 1.071385e-02, 1.073570e-02, 1.075755e-02, 1.077940e-02, 1.080125e-02, 1.082310e-02, 1.084495e-02, 1.086680e-02, 1.088865e-02, 1.091050e-02, 1.093234e-02, 1.095419e-02, 1.097604e-02, 1.099788e-02, 1.101973e-02, 1.104158e-02, 1.106342e-02, 1.108527e-02, 1.110711e-02, 1.112896e-02, 1.115080e-02, 1.117265e-02, 1.119449e-02, 1.121633e-02, 1.123818e-02, 1.126002e-02, 1.128186e-02, 1.130371e-02, 1.132555e-02, 1.134739e-02, 1.136923e-02, 1.139107e-02, 1.141291e-02, 1.143475e-02, 1.145659e-02, 1.147843e-02, 1.150027e-02, 1.152211e-02, 1.154395e-02, 1.156578e-02, 1.158762e-02, 1.160946e-02, 1.163130e-02, 1.165313e-02, 1.167497e-02, 1.169681e-02, 1.171864e-02, 1.174048e-02, 1.176231e-02, 1.178415e-02, 1.180598e-02, 1.182782e-02, 1.184965e-02, 1.187148e-02, 1.189332e-02, 1.191515e-02, 1.193698e-02, 1.195882e-02, 1.198065e-02, 1.200248e-02, 1.202431e-02, 1.204614e-02, 1.206797e-02, 1.208980e-02, 1.211163e-02, 1.213346e-02, 1.215529e-02, 1.217712e-02, 1.219895e-02, 1.222078e-02, 1.224260e-02, 1.226443e-02, 1.228626e-02, 1.230808e-02, 1.232991e-02, 1.235174e-02, 1.237356e-02, 1.239539e-02, 1.241721e-02, 1.243904e-02, 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9.999725e-01, 9.999835e-01, 9.999945e-01, };
101
102 /* fast pow lookup table, precision 16, size 65536 */
103 const uint32_t fast_pow_precision = 16;
104 const uint32_t fast_pow_table_size = 65536;
105 const uint32_t fast_pow_table[65536] = {
106 44, 133, 222, 311, 399, 488, 577, 665, 754, 843, 932, 1020, 1109, 1198, 1287, 1375, 1464, 1553, 1642, 1730, 1819, 1908, 1997, 2085, 2174, 2263, 2351, 2440, 2529, 2618, 2706, 2795, 2884, 2973, 3061, 3150, 3239, 3328, 3417, 3505, 3594, 3683, 3772, 3860, 3949, 4038, 4127, 4215, 4304, 4393, 4482, 4570, 4659, 4748, 4837, 4926, 5014, 5103, 5192, 5281, 5369, 5458, 5547, 5636, 5725, 5813, 5902, 5991, 6080, 6169, 6257, 6346, 6435, 6524, 6612, 6701, 6790, 6879, 6968, 7056, 7145, 7234, 7323, 7412, 7500, 7589, 7678, 7767, 7856, 7944, 8033, 8122, 8211, 8300, 8388, 8477, 8566, 8655, 8744, 8833, 8921, 9010, 9099, 9188, 9277, 9365, 9454, 9543, 9632, 9721, 9810, 9898, 9987, 10076, 10165, 10254, 10343, 10431, 10520, 10609, 10698, 10787, 10876, 10964, 11053, 11142, 11231, 11320, 11409, 11497, 11586, 11675, 11764, 11853, 11942, 12031, 12119, 12208, 12297, 12386, 12475, 12564, 12653, 12741, 12830, 12919, 13008, 13097, 13186, 13275, 13363, 13452, 13541, 13630, 13719, 13808, 13897, 13985, 14074, 14163, 14252, 14341, 14430, 14519, 14608, 14696, 14785, 14874, 14963, 15052, 15141, 15230, 15319, 15408, 15496, 15585, 15674, 15763, 15852, 15941, 16030, 16119, 16208, 16296, 16385, 16474, 16563, 16652, 16741, 16830, 16919, 17008, 17097, 17185, 17274, 17363, 17452, 17541, 17630, 17719, 17808, 17897, 17986, 18075, 18163, 18252, 18341, 18430, 18519, 18608, 18697, 18786, 18875, 18964, 19053, 19142, 19231, 19319, 19408, 19497, 19586, 19675, 19764, 19853, 19942, 20031, 20120, 20209, 20298, 20387, 20476, 20565, 20653, 20742, 20831, 20920, 21009, 21098, 21187, 21276, 21365, 21454, 21543, 21632, 21721, 21810, 21899, 21988, 22077, 22166, 22255, 22343, 22432, 22521, 22610, 22699, 22788, 22877, 22966, 23055, 23144, 23233, 23322, 23411, 23500, 23589, 23678, 23767, 23856, 23945, 24034, 24123, 24212, 24301, 24390, 24479, 24568, 24657, 24746, 24835, 24924, 25013, 25102, 25191, 25280, 25369, 25458, 25547, 25636, 25725, 25814, 25903, 25992, 26081, 26170, 26259, 26348, 26437, 26526, 26615, 26704, 26793, 26882, 26971, 27060, 27149, 27238, 27327, 27416, 27505, 27594, 27683, 27772, 27861, 27950, 28039, 28128, 28217, 28306, 28395, 28484, 28573, 28662, 28751, 28840, 28929, 29018, 29107, 29196, 29285, 29374, 29463, 29552, 29641, 29730, 29819, 29908, 29997, 30087, 30176, 30265, 30354, 30443, 30532, 30621, 30710, 30799, 30888, 30977, 31066, 31155, 31244, 31333, 31422, 31511, 31600, 31689, 31778, 31868, 31957, 32046, 32135, 32224, 32313, 32402, 32491, 32580, 32669, 32758, 32847, 32936, 33025, 33114, 33204, 33293, 33382, 33471, 33560, 33649, 33738, 33827, 33916, 34005, 34094, 34183, 34272, 34362, 34451, 34540, 34629, 34718, 34807, 34896, 34985, 35074, 35163, 35252, 35342, 35431, 35520, 35609, 35698, 35787, 35876, 35965, 36054, 36143, 36233, 36322, 36411, 36500, 36589, 36678, 36767, 36856, 36945, 37035, 37124, 37213, 37302, 37391, 37480, 37569, 37658, 37748, 37837, 37926, 38015, 38104, 38193, 38282, 38371, 38461, 38550, 38639, 38728, 38817, 38906, 38995, 39084, 39174, 39263, 39352, 39441, 39530, 39619, 39708, 39798, 39887, 39976, 40065, 40154, 40243, 40332, 40422, 40511, 40600, 40689, 40778, 40867, 40957, 41046, 41135, 41224, 41313, 41402, 41491, 41581, 41670, 41759, 41848, 41937, 42026, 42116, 42205, 42294, 42383, 42472, 42561, 42651, 42740, 42829, 42918, 43007, 43097, 43186, 43275, 43364, 43453, 43542, 43632, 43721, 43810, 43899, 43988, 44078, 44167, 44256, 44345, 44434, 44524, 44613, 44702, 44791, 44880, 44970, 45059, 45148, 45237, 45326, 45416, 45505, 45594, 45683, 45772, 45862, 45951, 46040, 46129, 46218, 46308, 46397, 46486, 46575, 46664, 46754, 46843, 46932, 47021, 47111, 47200, 47289, 47378, 47467, 47557, 47646, 47735, 47824, 47914, 48003, 48092, 48181, 48270, 48360, 48449, 48538, 48627, 48717, 48806, 48895, 48984, 49074, 49163, 49252, 49341, 49431, 49520, 49609, 49698, 49788, 49877, 49966, 50055, 50145, 50234, 50323, 50412, 50502, 50591, 50680, 50769, 50859, 50948, 51037, 51126, 51216, 51305, 51394, 51484, 51573, 51662, 51751, 51841, 51930, 52019, 52108, 52198, 52287, 52376, 52466, 52555, 52644, 52733, 52823, 52912, 53001, 53090, 53180, 53269, 53358, 53448, 53537, 53626, 53715, 53805, 53894, 53983, 54073, 54162, 54251, 54341, 54430, 54519, 54608, 54698, 54787, 54876, 54966, 55055, 55144, 55234, 55323, 55412, 55501, 55591, 55680, 55769, 55859, 55948, 56037, 56127, 56216, 56305, 56395, 56484, 56573, 56663, 56752, 56841, 56931, 57020, 57109, 57199, 57288, 57377, 57467, 57556, 57645, 57735, 57824, 57913, 58003, 58092, 58181, 58271, 58360, 58449, 58539, 58628, 58717, 58807, 58896, 58985, 59075, 59164, 59253, 59343, 59432, 59521, 59611, 59700, 59789, 59879, 59968, 60058, 60147, 60236, 60326, 60415, 60504, 60594, 60683, 60772, 60862, 60951, 61041, 61130, 61219, 61309, 61398, 61487, 61577, 61666, 61755, 61845, 61934, 62024, 62113, 62202, 62292, 62381, 62471, 62560, 62649, 62739, 62828, 62917, 63007, 63096, 63186, 63275, 63364, 63454, 63543, 63633, 63722, 63811, 63901, 63990, 64080, 64169, 64258, 64348, 64437, 64527, 64616, 64705, 64795, 64884, 64974, 65063, 65152, 65242, 65331, 65421, 65510, 65600, 65689, 65778, 65868, 65957, 66047, 66136, 66225, 66315, 66404, 66494, 66583, 66673, 66762, 66851, 66941, 67030, 67120, 67209, 67299, 67388, 67477, 67567, 67656, 67746, 67835, 67925, 68014, 68104, 68193, 68282, 68372, 68461, 68551, 68640, 68730, 68819, 68909, 68998, 69088, 69177, 69266, 69356, 69445, 69535, 69624, 69714, 69803, 69893, 69982, 70072, 70161, 70250, 70340, 70429, 70519, 70608, 70698, 70787, 70877, 70966, 71056, 71145, 71235, 71324, 71414, 71503, 71593, 71682, 71772, 71861, 71951, 72040, 72129, 72219, 72308, 72398, 72487, 72577, 72666, 72756, 72845, 72935, 73024, 73114, 73203, 73293, 73382, 73472, 73561, 73651, 73740, 73830, 73919, 74009, 74098, 74188, 74277, 74367, 74456, 74546, 74635, 74725, 74814, 74904, 74994, 75083, 75173, 75262, 75352, 75441, 75531, 75620, 75710, 75799, 75889, 75978, 76068, 76157, 76247, 76336, 76426, 76515, 76605, 76694, 76784, 76874, 76963, 77053, 77142, 77232, 77321, 77411, 77500, 77590, 77679, 77769, 77858, 77948, 78038, 78127, 78217, 78306, 78396, 78485, 78575, 78664, 78754, 78844, 78933, 79023, 79112, 79202, 79291, 79381, 79470, 79560, 79650, 79739, 79829, 79918, 80008, 80097, 80187, 80277, 80366, 80456, 80545, 80635, 80724, 80814, 80904, 80993, 81083, 81172, 81262, 81352, 81441, 81531, 81620, 81710, 81799, 81889, 81979, 82068, 82158, 82247, 82337, 82427, 82516, 82606, 82695, 82785, 82875, 82964, 83054, 83143, 83233, 83323, 83412, 83502, 83591, 83681, 83771, 83860, 83950, 84039, 84129, 84219, 84308, 84398, 84488, 84577, 84667, 84756, 84846, 84936, 85025, 85115, 85204, 85294, 85384, 85473, 85563, 85653, 85742, 85832, 85922, 86011, 86101, 86190, 86280, 86370, 86459, 86549, 86639, 86728, 86818, 86908, 86997, 87087, 87176, 87266, 87356, 87445, 87535, 87625, 87714, 87804, 87894, 87983, 88073, 88163, 88252, 88342, 88432, 88521, 88611, 88701, 88790, 88880, 88970, 89059, 89149, 89239, 89328, 89418, 89508, 89597, 89687, 89777, 89866, 89956, 90046, 90135, 90225, 90315, 90404, 90494, 90584, 90673, 90763, 90853, 90942, 91032, 91122, 91211, 91301, 91391, 91480, 91570, 91660, 91750, 91839, 91929, 92019, 92108, 92198, 92288, 92377, 92467, 92557, 92647, 92736, 92826, 92916, 93005, 93095, 93185, 93274, 93364, 93454, 93544, 93633, 93723, 93813, 93902, 93992, 94082, 94172, 94261, 94351, 94441, 94531, 94620, 94710, 94800, 94889, 94979, 95069, 95159, 95248, 95338, 95428, 95518, 95607, 95697, 95787, 95876, 95966, 96056, 96146, 96235, 96325, 96415, 96505, 96594, 96684, 96774, 96864, 96953, 97043, 97133, 97223, 97312, 97402, 97492, 97582, 97671, 97761, 97851, 97941, 98030, 98120, 98210, 98300, 98389, 98479, 98569, 98659, 98749, 98838, 98928, 99018, 99108, 99197, 99287, 99377, 99467, 99556, 99646, 99736, 99826, 99916, 100005, 100095, 100185, 100275, 100364, 100454, 100544, 100634, 100724, 100813, 100903, 100993, 101083, 101173, 101262, 101352, 101442, 101532, 101622, 101711, 101801, 101891, 101981, 102071, 102160, 102250, 102340, 102430, 102520, 102609, 102699, 102789, 102879, 102969, 103058, 103148, 103238, 103328, 103418, 103508, 103597, 103687, 103777, 103867, 103957, 104046, 104136, 104226, 104316, 104406, 104496, 104585, 104675, 104765, 104855, 104945, 105035, 105124, 105214, 105304, 105394, 105484, 105574, 105663, 105753, 105843, 105933, 106023, 106113, 106202, 106292, 106382, 106472, 106562, 106652, 106742, 106831, 106921, 107011, 107101, 107191, 107281, 107371, 107460, 107550, 107640, 107730, 107820, 107910, 108000, 108089, 108179, 108269, 108359, 108449, 108539, 108629, 108719, 108808, 108898, 108988, 109078, 109168, 109258, 109348, 109438, 109527, 109617, 109707, 109797, 109887, 109977, 110067, 110157, 110247, 110336, 110426, 110516, 110606, 110696, 110786, 110876, 110966, 111056, 111145, 111235, 111325, 111415, 111505, 111595, 111685, 111775, 111865, 111955, 112044, 112134, 112224, 112314, 112404, 112494, 112584, 112674, 112764, 112854, 112944, 113034, 113123, 113213, 113303, 113393, 113483, 113573, 113663, 113753, 113843, 113933, 114023, 114113, 114203, 114292, 114382, 114472, 114562, 114652, 114742, 114832, 114922, 115012, 115102, 115192, 115282, 115372, 115462, 115552, 115642, 115732, 115821, 115911, 116001, 116091, 116181, 116271, 116361, 116451, 116541, 116631, 116721, 116811, 116901, 116991, 117081, 117171, 117261, 117351, 117441, 117531, 117621, 117711, 117801, 117891, 117980, 118070, 118160, 118250, 118340, 118430, 118520, 118610, 118700, 118790, 118880, 118970, 119060, 119150, 119240, 119330, 119420, 119510, 119600, 119690, 119780, 119870, 119960, 120050, 120140, 120230, 120320, 120410, 120500, 120590, 120680, 120770, 120860, 120950, 121040, 121130, 121220, 121310, 121400, 121490, 121580, 121670, 121760, 121850, 121940, 122030, 122120, 122210, 122300, 122390, 122480, 122570, 122660, 122750, 122840, 122930, 123020, 123110, 123200, 123290, 123380, 123470, 123560, 123651, 123741, 123831, 123921, 124011, 124101, 124191, 124281, 124371, 124461, 124551, 124641, 124731, 124821, 124911, 125001, 125091, 125181, 125271, 125361, 125451, 125541, 125631, 125721, 125812, 125902, 125992, 126082, 126172, 126262, 126352, 126442, 126532, 126622, 126712, 126802, 126892, 126982, 127072, 127162, 127252, 127343, 127433, 127523, 127613, 127703, 127793, 127883, 127973, 128063, 128153, 128243, 128333, 128423, 128514, 128604, 128694, 128784, 128874, 128964, 129054, 129144, 129234, 129324, 129414, 129505, 129595, 129685, 129775, 129865, 129955, 130045, 130135, 130225, 130315, 130405, 130496, 130586, 130676, 130766, 130856, 130946, 131036, 131126, 131216, 131307, 131397, 131487, 131577, 131667, 131757, 131847, 131937, 132027, 132118, 132208, 132298, 132388, 132478, 132568, 132658, 132748, 132839, 132929, 133019, 133109, 133199, 133289, 133379, 133470, 133560, 133650, 133740, 133830, 133920, 134010, 134100, 134191, 134281, 134371, 134461, 134551, 134641, 134731, 134822, 134912, 135002, 135092, 135182, 135272, 135363, 135453, 135543, 135633, 135723, 135813, 135903, 135994, 136084, 136174, 136264, 136354, 136444, 136535, 136625, 136715, 136805, 136895, 136985, 137076, 137166, 137256, 137346, 137436, 137527, 137617, 137707, 137797, 137887, 137977, 138068, 138158, 138248, 138338, 138428, 138519, 138609, 138699, 138789, 138879, 138969, 139060, 139150, 139240, 139330, 139420, 139511, 139601, 139691, 139781, 139871, 139962, 140052, 140142, 140232, 140322, 140413, 140503, 140593, 140683, 140774, 140864, 140954, 141044, 141134, 141225, 141315, 141405, 141495, 141585, 141676, 141766, 141856, 141946, 142037, 142127, 142217, 142307, 142397, 142488, 142578, 142668, 142758, 142849, 142939, 143029, 143119, 143210, 143300, 143390, 143480, 143571, 143661, 143751, 143841, 143932, 144022, 144112, 144202, 144293, 144383, 144473, 144563, 144654, 144744, 144834, 144924, 145015, 145105, 145195, 145285, 145376, 145466, 145556, 145646, 145737, 145827, 145917, 146007, 146098, 146188, 146278, 146368, 146459, 146549, 146639, 146730, 146820, 146910, 147000, 147091, 147181, 147271, 147362, 147452, 147542, 147632, 147723, 147813, 147903, 147994, 148084, 148174, 148264, 148355, 148445, 148535, 148626, 148716, 148806, 148896, 148987, 149077, 149167, 149258, 149348, 149438, 149529, 149619, 149709, 149799, 149890, 149980, 150070, 150161, 150251, 150341, 150432, 150522, 150612, 150703, 150793, 150883, 150974, 151064, 151154, 151245, 151335, 151425, 151515, 151606, 151696, 151786, 151877, 151967, 152057, 152148, 152238, 152328, 152419, 152509, 152599, 152690, 152780, 152870, 152961, 153051, 153142, 153232, 153322, 153413, 153503, 153593, 153684, 153774, 153864, 153955, 154045, 154135, 154226, 154316, 154406, 154497, 154587, 154677, 154768, 154858, 154949, 155039, 155129, 155220, 155310, 155400, 155491, 155581, 155671, 155762, 155852, 155943, 156033, 156123, 156214, 156304, 156394, 156485, 156575, 156666, 156756, 156846, 156937, 157027, 157117, 157208, 157298, 157389, 157479, 157569, 157660, 157750, 157841, 157931, 158021, 158112, 158202, 158293, 158383, 158473, 158564, 158654, 158745, 158835, 158925, 159016, 159106, 159197, 159287, 159377, 159468, 159558, 159649, 159739, 159829, 159920, 160010, 160101, 160191, 160282, 160372, 160462, 160553, 160643, 160734, 160824, 160914, 161005, 161095, 161186, 161276, 161367, 161457, 161547, 161638, 161728, 161819, 161909, 162000, 162090, 162181, 162271, 162361, 162452, 162542, 162633, 162723, 162814, 162904, 162995, 163085, 163175, 163266, 163356, 163447, 163537, 163628, 163718, 163809, 163899, 163989, 164080, 164170, 164261, 164351, 164442, 164532, 164623, 164713, 164804, 164894, 164985, 165075, 165166, 165256, 165346, 165437, 165527, 165618, 165708, 165799, 165889, 165980, 166070, 166161, 166251, 166342, 166432, 166523, 166613, 166704, 166794, 166885, 166975, 167066, 167156, 167247, 167337, 167428, 167518, 167609, 167699, 167790, 167880, 167971, 168061, 168152, 168242, 168333, 168423, 168514, 168604, 168695, 168785, 168876, 168966, 169057, 169147, 169238, 169328, 169419, 169509, 169600, 169690, 169781, 169871, 169962, 170052, 170143, 170233, 170324, 170414, 170505, 170595, 170686, 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8301620, 8301796, 8301973, 8302149, 8302326, 8302502, 8302679, 8302855, 8303032, 8303209, 8303385, 8303562, 8303738, 8303915, 8304091, 8304268, 8304444, 8304621, 8304798, 8304974, 8305151, 8305327, 8305504, 8305680, 8305857, 8306033, 8306210, 8306387, 8306563, 8306740, 8306916, 8307093, 8307270, 8307446, 8307623, 8307799, 8307976, 8308152, 8308329, 8308506, 8308682, 8308859, 8309035, 8309212, 8309389, 8309565, 8309742, 8309919, 8310095, 8310272, 8310448, 8310625, 8310802, 8310978, 8311155, 8311331, 8311508, 8311685, 8311861, 8312038, 8312215, 8312391, 8312568, 8312745, 8312921, 8313098, 8313275, 8313451, 8313628, 8313804, 8313981, 8314158, 8314334, 8314511, 8314688, 8314864, 8315041, 8315218, 8315394, 8315571, 8315748, 8315924, 8316101, 8316278, 8316454, 8316631, 8316808, 8316985, 8317161, 8317338, 8317515, 8317691, 8317868, 8318045, 8318221, 8318398, 8318575, 8318752, 8318928, 8319105, 8319282, 8319458, 8319635, 8319812, 8319989, 8320165, 8320342, 8320519, 8320695, 8320872, 8321049, 8321226, 8321402, 8321579, 8321756, 8321933, 8322109, 8322286, 8322463, 8322640, 8322816, 8322993, 8323170, 8323347, 8323523, 8323700, 8323877, 8324054, 8324230, 8324407, 8324584, 8324761, 8324937, 8325114, 8325291, 8325468, 8325645, 8325821, 8325998, 8326175, 8326352, 8326528, 8326705, 8326882, 8327059, 8327236, 8327412, 8327589, 8327766, 8327943, 8328120, 8328296, 8328473, 8328650, 8328827, 8329004, 8329180, 8329357, 8329534, 8329711, 8329888, 8330065, 8330241, 8330418, 8330595, 8330772, 8330949, 8331126, 8331302, 8331479, 8331656, 8331833, 8332010, 8332187, 8332363, 8332540, 8332717, 8332894, 8333071, 8333248, 8333425, 8333601, 8333778, 8333955, 8334132, 8334309, 8334486, 8334663, 8334840, 8335016, 8335193, 8335370, 8335547, 8335724, 8335901, 8336078, 8336255, 8336432, 8336608, 8336785, 8336962, 8337139, 8337316, 8337493, 8337670, 8337847, 8338024, 8338201, 8338377, 8338554, 8338731, 8338908, 8339085, 8339262, 8339439, 8339616, 8339793, 8339970, 8340147, 8340324, 8340501, 8340678, 8340854, 8341031, 8341208, 8341385, 8341562, 8341739, 8341916, 8342093, 8342270, 8342447, 8342624, 8342801, 8342978, 8343155, 8343332, 8343509, 8343686, 8343863, 8344040, 8344217, 8344394, 8344571, 8344748, 8344925, 8345102, 8345279, 8345456, 8345633, 8345810, 8345987, 8346164, 8346341, 8346518, 8346695, 8346872, 8347049, 8347226, 8347403, 8347580, 8347757, 8347934, 8348111, 8348288, 8348465, 8348642, 8348819, 8348996, 8349173, 8349350, 8349527, 8349704, 8349881, 8350058, 8350235, 8350412, 8350589, 8350766, 8350943, 8351120, 8351297, 8351474, 8351651, 8351828, 8352005, 8352183, 8352360, 8352537, 8352714, 8352891, 8353068, 8353245, 8353422, 8353599, 8353776, 8353953, 8354130, 8354307, 8354484, 8354662, 8354839, 8355016, 8355193, 8355370, 8355547, 8355724, 8355901, 8356078, 8356255, 8356433, 8356610, 8356787, 8356964, 8357141, 8357318, 8357495, 8357672, 8357849, 8358027, 8358204, 8358381, 8358558, 8358735, 8358912, 8359089, 8359266, 8359444, 8359621, 8359798, 8359975, 8360152, 8360329, 8360506, 8360684, 8360861, 8361038, 8361215, 8361392, 8361569, 8361747, 8361924, 8362101, 8362278, 8362455, 8362632, 8362810, 8362987, 8363164, 8363341, 8363518, 8363695, 8363873, 8364050, 8364227, 8364404, 8364581, 8364759, 8364936, 8365113, 8365290, 8365467, 8365645, 8365822, 8365999, 8366176, 8366353, 8366531, 8366708, 8366885, 8367062, 8367239, 8367417, 8367594, 8367771, 8367948, 8368126, 8368303, 8368480, 8368657, 8368834, 8369012, 8369189, 8369366, 8369543, 8369721, 8369898, 8370075, 8370252, 8370430, 8370607, 8370784, 8370961, 8371139, 8371316, 8371493, 8371670, 8371848, 8372025, 8372202, 8372380, 8372557, 8372734, 8372911, 8373089, 8373266, 8373443, 8373621, 8373798, 8373975, 8374152, 8374330, 8374507, 8374684, 8374862, 8375039, 8375216, 8375394, 8375571, 8375748, 8375925, 8376103, 8376280, 8376457, 8376635, 8376812, 8376989, 8377167, 8377344, 8377521, 8377699, 8377876, 8378053, 8378231, 8378408, 8378585, 8378763, 8378940, 8379117, 8379295, 8379472, 8379649, 8379827, 8380004, 8380181, 8380359, 8380536, 8380714, 8380891, 8381068, 8381246, 8381423, 8381600, 8381778, 8381955, 8382132, 8382310, 8382487, 8382665, 8382842, 8383019, 8383197, 8383374, 8383552, 8383729, 8383906, 8384084, 8384261, 8384439, 8384616, 8384793, 8384971, 8385148, 8385326, 8385503, 8385680, 8385858, 8386035, 8386213, 8386390, 8386567, 8386745, 8386922, 8387100, 8387277, 8387455, 8387632, 8387810, 8387987, 8388164, 8388342, 8388519, };
107
108
109 /**
110
111 http://www.hxa.name/articles/content/fast-pow-adjustable_hxa7241_2007.html
112
113 Copyright (c) 2007, Harrison Ainsworth / HXA7241.
114
115 Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
116
117 Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
118 Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
119 The name of the author may not be used to endorse or promote products derived from this software without specific prior written permission.
120 THIS SOFTWARE IS PROVIDED BY THE AUTHOR "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
121 **/
122
123 static const float _2p23 = 8388608.0f;
124
125 /**
126 * Get pow (fast!).
127 *
128 * @val power to raise radix to
129 * @ilog2 one over log, to required radix, of two
130 * @pTable length must be 2 ^ precision
131 * @precision number of mantissa bits used, >= 0 and <= 18
132 */
powFastLookup(const float val,const float ilog2,const uint32_t * pTable,const uint32_t precision)133 static float powFastLookup(const float val, const float ilog2, const uint32_t* pTable, const uint32_t precision)
134 {
135 /* build float bits */
136 const int32_t i = (int32_t)((val * (_2p23 * ilog2)) + (127.0f * _2p23));
137
138 /* replace mantissa with lookup */
139 const int32_t it = (i & 0xFF800000) | pTable[(i & 0x7FFFFF) >> /* E */
140 (23 - precision)]; /* F */
141
142 /* convert bits to float */
143 return *(const float*)(&it);
144 }
145
146 /* Lookup table generator for the ICSI logarithm function
147 Copyright (C) 2007 International Computer Science Institute
148 1947 Center Street. Suite 600
149 Berkeley, CA 94704
150 Contact information:
151 Oriol Vinyals vinyals@icsi.berkeley.edu
152 Gerald Friedland fractor@icsi.berkeley.edu
153 Acknowledgements:
154 Thanks to Harrison Ainsworth (hxa7241@gmail.com) for his idea that
155 doubled the accuracy.
156 This program is free software; you can redistribute it and/or modify
157 it under the terms of the GNU General Public License as published by
158 the Free Software Foundation; either version 2 of the License, or
159 (at your option) any later version.
160 This program is distributed in the hope that it will be useful,
161 but WITHOUT ANY WARRANTY; without even the implied warranty of
162 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
163 GNU General Public License for more details.
164 You should have received a copy of the GNU General Public License along
165 with this program; if not, write to the Free Software Foundation, Inc.,
166 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
167 */
168
icsi_log(float arg,const float * lookup_table,const uint32_t precision)169 static inline float icsi_log(float arg, const float* lookup_table, const uint32_t precision)
170 {
171 /* get access to float bits */
172 const int32_t* const pVal = (const int32_t*)(&arg);
173 /* extract exponent and mantissa (quantized) */
174 const int32_t exp = ((*pVal >> 23) & 255) - 127;
175 const int32_t man = (*pVal & 0x7FFFFF) >> (23 - precision);
176 /* exponent plus lookup refinement */
177 return ((float)(exp) + lookup_table[man]) * 0.69314718055995f;
178 }
179
log2i(const uint32_t x)180 static inline uint32_t log2i(const uint32_t x)
181 {
182 return (31 - __builtin_clz(x));
183 }
184
185 /* Fast arctan2
186 * from http://dspguru.com/dsp/tricks/fixed-point-atan2-with-self-normalization
187 */
188 /*
189 float fast_atan2f(float y, float x)
190 {
191 const float coeff_1 = M_PI/4;
192 const float coeff_2 = 3*M_PI/4;
193 float abs_y = fabs(y)+1e-10; // kludge to prevent 0/0 condition
194 float r, angle;
195 if (x >= 0) {
196 r = (x - abs_y) / (x + abs_y);
197 angle = coeff_1 - coeff_1 * r;
198 } else {
199 r = (x + abs_y) / (abs_y - x);
200 angle = coeff_2 - coeff_1 * r;
201 }
202 if (y < 0) {
203 return(-angle); // negate if in quad III or IV
204 } else {
205 return(angle);
206 }
207 }
208 */
209
210 // Static table declaration
211 static const float* log_table = fast_log_table;
212 static uint32_t log_precision = log2i(fast_log_precision);
213 static const uint32_t* pow_table = fast_pow_table;
214 static uint32_t pow_precision = log2i(fast_pow_precision);
215
fast_powf(float x,float y)216 float fast_powf(float x, float y)
217 {
218 return powFastLookup(y, logf(x)*1.44269504088896f, pow_table, pow_precision);
219 }
220
fast_expf(float x)221 float fast_expf(float x)
222 {
223 return powFastLookup(x, 1.44269504088896f, pow_table, pow_precision);
224 }
225
fast_exp2f(float x)226 float fast_exp2f(float x)
227 {
228 return powFastLookup(x, 1.0f, pow_table, pow_precision);
229 }
230
fast_exp10f(float x)231 float fast_exp10f(float x)
232 {
233 return powFastLookup(x, 3.32192809488736f, pow_table, pow_precision);
234 }
235
fast_logf(float x)236 float fast_logf(float x)
237 {
238 return icsi_log(x, log_table, log_precision);
239 }
240
fast_log10f(float x)241 float fast_log10f(float x)
242 {
243 // log10 (x) equals log (x) / log (10)
244 return icsi_log(x, log_table, log_precision) / float(M_LN10);
245 }
246
fast_log2f(float x)247 float fast_log2f(float x)
248 {
249 // log2 (x) equals log (x) / log (2)
250 return icsi_log(x, log_table, log_precision) / float(M_LN2);
251 }
252
253 // 'double' version: to improve
fast_pow(double x,double y)254 double fast_pow(double x, double y)
255 {
256 return powFastLookup(y, logf(x)*1.44269504088896f, pow_table, pow_precision);
257 }
258
fast_exp(double x)259 double fast_exp(double x)
260 {
261 return powFastLookup(x, 1.44269504088896f, pow_table, pow_precision);
262 }
263
fast_exp2(double x)264 double fast_exp2(double x)
265 {
266 return powFastLookup(x, 1.0f, pow_table, pow_precision);
267 }
268
fast_exp10(double x)269 double fast_exp10(double x)
270 {
271 return powFastLookup(x, 3.32192809488736f, pow_table, pow_precision);
272 }
273
fast_log(double x)274 double fast_log(double x)
275 {
276 return icsi_log(x, log_table, log_precision);
277 }
278
fast_log2(double x)279 double fast_log2(double x)
280 {
281 // log2 (x) equals log (x) / log (2)
282 return icsi_log(x, log_table, log_precision) / M_LN2;
283 }
284
fast_log10(double x)285 double fast_log10(double x)
286 {
287 // log10 (x) equals log (x) / log (10)
288 return icsi_log(x, log_table, log_precision) / M_LN10;
289 }
290
fast_pow_set_table(const uint32_t * table,int size)291 static void fast_pow_set_table(const uint32_t* table, int size)
292 {
293 pow_table = table;
294 pow_precision = log2i(size);
295 }
296
fast_log_set_table(const float * table,int size)297 static void fast_log_set_table(const float* table, int size)
298 {
299 log_table = table;
300 log_precision = log2i(size);
301 }
302