/* * randn.c * * Code generation for function 'randn' * * C source code generated on: Tue Feb 19 15:26:32 2013 * */ /* Include files */ #include "rt_nonfinite.h" #include "kalman_dlqe3.h" #include "randn.h" #include "kalman_dlqe3_data.h" /* Type Definitions */ /* Named Constants */ /* Variable Declarations */ /* Variable Definitions */ static uint32_T d_state[625]; /* Function Declarations */ static real_T b_genrandu(uint32_T mt[625]); static real_T eml_rand_mt19937ar(uint32_T e_state[625]); static real_T eml_rand_shr3cong(uint32_T e_state[2]); static void genrand_uint32_vector(uint32_T mt[625], uint32_T u[2]); static void genrandu(uint32_T s, uint32_T *e_state, real_T *r); static void twister_state_vector(uint32_T mt[625], real_T seed); /* Function Definitions */ static real_T b_genrandu(uint32_T mt[625]) { real_T r; int32_T exitg1; uint32_T u[2]; boolean_T isvalid; int32_T k; boolean_T exitg2; /* This is a uniform (0,1) pseudorandom number generator based on: */ /* */ /* A C-program for MT19937, with initialization improved 2002/1/26. */ /* Coded by Takuji Nishimura and Makoto Matsumoto. */ /* */ /* Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, */ /* All rights reserved. */ /* */ /* Redistribution and use in source and binary forms, with or without */ /* modification, are permitted provided that the following conditions */ /* are met: */ /* */ /* 1. Redistributions of source code must retain the above copyright */ /* notice, this list of conditions and the following disclaimer. */ /* */ /* 2. 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. */ /* */ /* 3. The names of its contributors may not be used to endorse or promote */ /* products derived from this software without specific prior written */ /* permission. */ /* */ /* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS */ /* "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 COPYRIGHT OWNER OR */ /* CONTRIBUTORS 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. */ do { exitg1 = 0; genrand_uint32_vector(mt, u); r = 1.1102230246251565E-16 * ((real_T)(u[0] >> 5U) * 6.7108864E+7 + (real_T) (u[1] >> 6U)); if (r == 0.0) { if ((mt[624] >= 1U) && (mt[624] < 625U)) { isvalid = TRUE; } else { isvalid = FALSE; } if (isvalid) { isvalid = FALSE; k = 1; exitg2 = FALSE; while ((exitg2 == FALSE) && (k < 625)) { if (mt[k - 1] == 0U) { k++; } else { isvalid = TRUE; exitg2 = TRUE; } } } if (!isvalid) { twister_state_vector(mt, 5489.0); } } else { exitg1 = 1; } } while (exitg1 == 0); return r; } static real_T eml_rand_mt19937ar(uint32_T e_state[625]) { real_T r; int32_T exitg1; uint32_T u32[2]; int32_T i; static const real_T dv1[257] = { 0.0, 0.215241895984875, 0.286174591792068, 0.335737519214422, 0.375121332878378, 0.408389134611989, 0.43751840220787, 0.46363433679088, 0.487443966139235, 0.50942332960209, 0.529909720661557, 0.549151702327164, 0.567338257053817, 0.584616766106378, 0.601104617755991, 0.61689699000775, 0.63207223638606, 0.646695714894993, 0.660822574244419, 0.674499822837293, 0.687767892795788, 0.700661841106814, 0.713212285190975, 0.725446140909999, 0.737387211434295, 0.749056662017815, 0.760473406430107, 0.771654424224568, 0.782615023307232, 0.793369058840623, 0.80392911698997, 0.814306670135215, 0.824512208752291, 0.834555354086381, 0.844444954909153, 0.854189171008163, 0.863795545553308, 0.87327106808886, 0.882622229585165, 0.891855070732941, 0.900975224461221, 0.909987953496718, 0.91889818364959, 0.927710533401999, 0.936429340286575, 0.945058684468165, 0.953602409881086, 0.96206414322304, 0.970447311064224, 0.978755155294224, 0.986990747099062, 0.99515699963509, 1.00325667954467, 1.01129241744, 1.01926671746548, 1.02718196603564, 1.03504043983344, 1.04284431314415, 1.05059566459093, 1.05829648333067, 1.06594867476212, 1.07355406579244, 1.0811144097034, 1.08863139065398, 1.09610662785202, 1.10354167942464, 1.11093804601357, 1.11829717411934, 1.12562045921553, 1.13290924865253, 1.14016484436815, 1.14738850542085, 1.15458145035993, 1.16174485944561, 1.16887987673083, 1.17598761201545, 1.18306914268269, 1.19012551542669, 1.19715774787944, 1.20416683014438, 1.2111537262437, 1.21811937548548, 1.22506469375653, 1.23199057474614, 1.23889789110569, 1.24578749554863, 1.2526602218949, 1.25951688606371, 1.26635828701823, 1.27318520766536, 1.27999841571382, 1.28679866449324, 1.29358669373695, 1.30036323033084, 1.30712898903073, 1.31388467315022, 1.32063097522106, 1.32736857762793, 1.33409815321936, 1.3408203658964, 1.34753587118059, 1.35424531676263, 1.36094934303328, 1.36764858359748, 1.37434366577317, 1.38103521107586, 1.38772383568998, 1.39441015092814, 1.40109476367925, 1.4077782768464, 1.41446128977547, 1.42114439867531, 1.42782819703026, 1.43451327600589, 1.44120022484872, 1.44788963128058, 1.45458208188841, 1.46127816251028, 1.46797845861808, 1.47468355569786, 1.48139403962819, 1.48811049705745, 1.49483351578049, 1.50156368511546, 1.50830159628131, 1.51504784277671, 1.521803020761, 1.52856772943771, 1.53534257144151, 1.542128153229, 1.54892508547417, 1.55573398346918, 1.56255546753104, 1.56939016341512, 1.57623870273591, 1.58310172339603, 1.58997987002419, 1.59687379442279, 1.60378415602609, 1.61071162236983, 1.61765686957301, 1.62462058283303, 1.63160345693487, 1.63860619677555, 1.64562951790478, 1.65267414708306, 1.65974082285818, 1.66683029616166, 1.67394333092612, 1.68108070472517, 1.68824320943719, 1.69543165193456, 1.70264685479992, 1.7098896570713, 1.71716091501782, 1.72446150294804, 1.73179231405296, 1.73915426128591, 1.74654827828172, 1.75397532031767, 1.76143636531891, 1.76893241491127, 1.77646449552452, 1.78403365954944, 1.79164098655216, 1.79928758454972, 1.80697459135082, 1.81470317596628, 1.82247454009388, 1.83028991968276, 1.83815058658281, 1.84605785028518, 1.8540130597602, 1.86201760539967, 1.87007292107127, 1.878180486293, 1.88634182853678, 1.8945585256707, 1.90283220855043, 1.91116456377125, 1.91955733659319, 1.92801233405266, 1.93653142827569, 1.94511656000868, 1.95376974238465, 1.96249306494436, 1.97128869793366, 1.98015889690048, 1.98910600761744, 1.99813247135842, 2.00724083056053, 2.0164337349062, 2.02571394786385, 2.03508435372962, 2.04454796521753, 2.05410793165065, 2.06376754781173, 2.07353026351874, 2.0833996939983, 2.09337963113879, 2.10347405571488, 2.11368715068665, 2.12402331568952, 2.13448718284602, 2.14508363404789, 2.15581781987674, 2.16669518035431, 2.17772146774029, 2.18890277162636, 2.20024554661128, 2.21175664288416, 2.22344334009251, 2.23531338492992, 2.24737503294739, 2.25963709517379, 2.27210899022838, 2.28480080272449, 2.29772334890286, 2.31088825060137, 2.32430801887113, 2.33799614879653, 2.35196722737914, 2.36623705671729, 2.38082279517208, 2.39574311978193, 2.41101841390112, 2.42667098493715, 2.44272531820036, 2.4592083743347, 2.47614993967052, 2.49358304127105, 2.51154444162669, 2.53007523215985, 2.54922155032478, 2.56903545268184, 2.58957598670829, 2.61091051848882, 2.63311639363158, 2.65628303757674, 2.68051464328574, 2.70593365612306, 2.73268535904401, 2.76094400527999, 2.79092117400193, 2.82287739682644, 2.85713873087322, 2.89412105361341, 2.93436686720889, 2.97860327988184, 3.02783779176959, 3.08352613200214, 3.147889289518, 3.2245750520478, 3.32024473383983, 3.44927829856143, 3.65415288536101, 3.91075795952492 }; real_T u; static const real_T dv2[257] = { 1.0, 0.977101701267673, 0.959879091800108, 0.9451989534423, 0.932060075959231, 0.919991505039348, 0.908726440052131, 0.898095921898344, 0.887984660755834, 0.878309655808918, 0.869008688036857, 0.860033621196332, 0.851346258458678, 0.842915653112205, 0.834716292986884, 0.826726833946222, 0.818929191603703, 0.811307874312656, 0.803849483170964, 0.796542330422959, 0.789376143566025, 0.782341832654803, 0.775431304981187, 0.768637315798486, 0.761953346836795, 0.755373506507096, 0.748892447219157, 0.742505296340151, 0.736207598126863, 0.729995264561476, 0.72386453346863, 0.717811932630722, 0.711834248878248, 0.705928501332754, 0.700091918136512, 0.694321916126117, 0.688616083004672, 0.682972161644995, 0.677388036218774, 0.671861719897082, 0.66639134390875, 0.660975147776663, 0.655611470579697, 0.650298743110817, 0.645035480820822, 0.639820277453057, 0.634651799287624, 0.629528779924837, 0.624450015547027, 0.619414360605834, 0.614420723888914, 0.609468064925773, 0.604555390697468, 0.599681752619125, 0.594846243767987, 0.590047996332826, 0.585286179263371, 0.580559996100791, 0.575868682972354, 0.571211506735253, 0.566587763256165, 0.561996775814525, 0.557437893618766, 0.552910490425833, 0.548413963255266, 0.543947731190026, 0.539511234256952, 0.535103932380458, 0.530725304403662, 0.526374847171684, 0.522052074672322, 0.517756517229756, 0.513487720747327, 0.509245245995748, 0.505028667943468, 0.500837575126149, 0.49667156905249, 0.492530263643869, 0.488413284705458, 0.484320269426683, 0.480250865909047, 0.476204732719506, 0.47218153846773, 0.468180961405694, 0.464202689048174, 0.460246417812843, 0.456311852678716, 0.452398706861849, 0.448506701507203, 0.444635565395739, 0.440785034665804, 0.436954852547985, 0.433144769112652, 0.429354541029442, 0.425583931338022, 0.421832709229496, 0.418100649837848, 0.414387534040891, 0.410693148270188, 0.407017284329473, 0.403359739221114, 0.399720314980197, 0.396098818515832, 0.392495061459315, 0.388908860018789, 0.385340034840077, 0.381788410873393, 0.378253817245619, 0.374736087137891, 0.371235057668239, 0.367750569779032, 0.364282468129004, 0.360830600989648, 0.357394820145781, 0.353974980800077, 0.350570941481406, 0.347182563956794, 0.343809713146851, 0.340452257044522, 0.337110066637006, 0.333783015830718, 0.330470981379163, 0.327173842813601, 0.323891482376391, 0.320623784956905, 0.317370638029914, 0.314131931596337, 0.310907558126286, 0.307697412504292, 0.30450139197665, 0.301319396100803, 0.298151326696685, 0.294997087799962, 0.291856585617095, 0.288729728482183, 0.285616426815502, 0.282516593083708, 0.279430141761638, 0.276356989295668, 0.273297054068577, 0.270250256365875, 0.267216518343561, 0.264195763997261, 0.261187919132721, 0.258192911337619, 0.255210669954662, 0.252241126055942, 0.249284212418529, 0.246339863501264, 0.24340801542275, 0.240488605940501, 0.237581574431238, 0.23468686187233, 0.231804410824339, 0.228934165414681, 0.226076071322381, 0.223230075763918, 0.220396127480152, 0.217574176724331, 0.214764175251174, 0.211966076307031, 0.209179834621125, 0.206405406397881, 0.203642749310335, 0.200891822494657, 0.198152586545776, 0.195425003514135, 0.192709036903589, 0.190004651670465, 0.187311814223801, 0.1846304924268, 0.181960655599523, 0.179302274522848, 0.176655321443735, 0.174019770081839, 0.171395595637506, 0.168782774801212, 0.166181285764482, 0.163591108232366, 0.161012223437511, 0.158444614155925, 0.15588826472448, 0.153343161060263, 0.150809290681846, 0.148286642732575, 0.145775208005994, 0.143274978973514, 0.140785949814445, 0.138308116448551, 0.135841476571254, 0.133386029691669, 0.130941777173644, 0.12850872228, 0.126086870220186, 0.123676228201597, 0.12127680548479, 0.11888861344291, 0.116511665625611, 0.114145977827839, 0.111791568163838, 0.109448457146812, 0.107116667774684, 0.104796225622487, 0.102487158941935, 0.10018949876881, 0.0979032790388625, 0.095628536713009, 0.093365311912691, 0.0911136480663738, 0.0888735920682759, 0.0866451944505581, 0.0844285095703535, 0.082223595813203, 0.0800305158146631, 0.0778493367020961, 0.0756801303589272, 0.0735229737139814, 0.0713779490588905, 0.0692451443970068, 0.0671246538277886, 0.065016577971243, 0.0629210244377582, 0.06083810834954, 0.0587679529209339, 0.0567106901062031, 0.0546664613248891, 0.0526354182767924, 0.0506177238609479, 0.0486135532158687, 0.0466230949019305, 0.0446465522512946, 0.0426841449164746, 0.0407361106559411, 0.0388027074045262, 0.0368842156885674, 0.0349809414617162, 0.0330932194585786, 0.0312214171919203, 0.0293659397581334, 0.0275272356696031, 0.0257058040085489, 0.0239022033057959, 0.0221170627073089, 0.0203510962300445, 0.0186051212757247, 0.0168800831525432, 0.0151770883079353, 0.0134974506017399, 0.0118427578579079, 0.0102149714397015, 0.00861658276939875, 0.00705087547137324, 0.00552240329925101, 0.00403797259336304, 0.00260907274610216, 0.0012602859304986, 0.000477467764609386 }; real_T x; do { exitg1 = 0; genrand_uint32_vector(e_state, u32); i = (int32_T)((u32[1] >> 24U) + 1U); r = (((real_T)(u32[0] >> 3U) * 1.6777216E+7 + (real_T)((int32_T)u32[1] & 16777215)) * 2.2204460492503131E-16 - 1.0) * dv1[i]; if (fabs(r) <= dv1[i - 1]) { exitg1 = 1; } else if (i < 256) { u = b_genrandu(e_state); if (dv2[i] + u * (dv2[i - 1] - dv2[i]) < exp(-0.5 * r * r)) { exitg1 = 1; } } else { do { u = b_genrandu(e_state); x = log(u) * 0.273661237329758; u = b_genrandu(e_state); } while (!(-2.0 * log(u) > x * x)); if (r < 0.0) { r = x - 3.65415288536101; } else { r = 3.65415288536101 - x; } exitg1 = 1; } } while (exitg1 == 0); return r; } static real_T eml_rand_shr3cong(uint32_T e_state[2]) { real_T r; uint32_T icng; uint32_T jsr; uint32_T ui; int32_T j; static const real_T dv0[65] = { 0.340945, 0.4573146, 0.5397793, 0.6062427, 0.6631691, 0.7136975, 0.7596125, 0.8020356, 0.8417227, 0.8792102, 0.9148948, 0.9490791, 0.9820005, 1.0138492, 1.044781, 1.0749254, 1.1043917, 1.1332738, 1.161653, 1.189601, 1.2171815, 1.2444516, 1.2714635, 1.298265, 1.3249008, 1.3514125, 1.3778399, 1.4042211, 1.4305929, 1.4569915, 1.4834527, 1.5100122, 1.5367061, 1.5635712, 1.5906454, 1.617968, 1.6455802, 1.6735255, 1.7018503, 1.7306045, 1.7598422, 1.7896223, 1.8200099, 1.851077, 1.8829044, 1.9155831, 1.9492166, 1.9839239, 2.0198431, 2.0571356, 2.095993, 2.136645, 2.1793713, 2.2245175, 2.2725186, 2.3239338, 2.3795008, 2.4402218, 2.5075117, 2.5834658, 2.6713916, 2.7769942, 2.7769942, 2.7769942, 2.7769942 }; real_T x; real_T y; real_T s; icng = 69069U * e_state[0] + 1234567U; jsr = e_state[1] ^ e_state[1] << 13U; jsr ^= jsr >> 17U; jsr ^= jsr << 5U; ui = icng + jsr; j = (int32_T)(ui & 63U); r = (real_T)(int32_T)ui * 4.6566128730773926E-10 * dv0[j + 1]; if (fabs(r) <= dv0[j]) { } else { x = (fabs(r) - dv0[j]) / (dv0[j + 1] - dv0[j]); icng = 69069U * icng + 1234567U; jsr ^= jsr << 13U; jsr ^= jsr >> 17U; jsr ^= jsr << 5U; y = (real_T)(int32_T)(icng + jsr) * 2.328306436538696E-10; s = x + (0.5 + y); if (s > 1.301198) { if (r < 0.0) { r = 0.4878992 * x - 0.4878992; } else { r = 0.4878992 - 0.4878992 * x; } } else if (s <= 0.9689279) { } else { s = 0.4878992 * x; x = 0.4878992 - 0.4878992 * x; if (0.5 + y > 12.67706 - 12.37586 * exp(-0.5 * (0.4878992 - s) * x)) { if (r < 0.0) { r = -(0.4878992 - s); } else { r = 0.4878992 - s; } } else if (exp(-0.5 * dv0[j + 1] * dv0[j + 1]) + (0.5 + y) * 0.01958303 / dv0[j + 1] <= exp(-0.5 * r * r)) { } else { do { icng = 69069U * icng + 1234567U; jsr ^= jsr << 13U; jsr ^= jsr >> 17U; jsr ^= jsr << 5U; x = log(0.5 + (real_T)(int32_T)(icng + jsr) * 2.328306436538696E-10) / 2.776994; icng = 69069U * icng + 1234567U; jsr ^= jsr << 13U; jsr ^= jsr >> 17U; jsr ^= jsr << 5U; } while (!(-2.0 * log(0.5 + (real_T)(int32_T)(icng + jsr) * 2.328306436538696E-10) > x * x)); if (r < 0.0) { r = x - 2.776994; } else { r = 2.776994 - x; } } } } e_state[0] = icng; e_state[1] = jsr; return r; } static void genrand_uint32_vector(uint32_T mt[625], uint32_T u[2]) { int32_T i; uint32_T mti; int32_T kk; uint32_T y; uint32_T b_y; uint32_T c_y; uint32_T d_y; for (i = 0; i < 2; i++) { u[i] = 0U; } for (i = 0; i < 2; i++) { mti = mt[624] + 1U; if (mti >= 625U) { for (kk = 0; kk < 227; kk++) { y = (mt[kk] & 2147483648U) | (mt[1 + kk] & 2147483647U); if ((int32_T)(y & 1U) == 0) { b_y = y >> 1U; } else { b_y = y >> 1U ^ 2567483615U; } mt[kk] = mt[397 + kk] ^ b_y; } for (kk = 0; kk < 396; kk++) { y = (mt[227 + kk] & 2147483648U) | (mt[228 + kk] & 2147483647U); if ((int32_T)(y & 1U) == 0) { c_y = y >> 1U; } else { c_y = y >> 1U ^ 2567483615U; } mt[227 + kk] = mt[kk] ^ c_y; } y = (mt[623] & 2147483648U) | (mt[0] & 2147483647U); if ((int32_T)(y & 1U) == 0) { d_y = y >> 1U; } else { d_y = y >> 1U ^ 2567483615U; } mt[623] = mt[396] ^ d_y; mti = 1U; } y = mt[(int32_T)mti - 1]; mt[624] = mti; y ^= y >> 11U; y ^= y << 7U & 2636928640U; y ^= y << 15U & 4022730752U; y ^= y >> 18U; u[i] = y; } } static void genrandu(uint32_T s, uint32_T *e_state, real_T *r) { int32_T hi; uint32_T test1; uint32_T test2; hi = (int32_T)(s / 127773U); test1 = 16807U * (s - (uint32_T)hi * 127773U); test2 = 2836U * (uint32_T)hi; if (test1 < test2) { *e_state = (test1 - test2) + 2147483647U; } else { *e_state = test1 - test2; } *r = (real_T)*e_state * 4.6566128752457969E-10; } static void twister_state_vector(uint32_T mt[625], real_T seed) { uint32_T r; int32_T mti; if (seed < 4.294967296E+9) { if (seed >= 0.0) { r = (uint32_T)seed; } else { r = 0U; } } else if (seed >= 4.294967296E+9) { r = MAX_uint32_T; } else { r = 0U; } mt[0] = r; for (mti = 0; mti < 623; mti++) { r = (r ^ r >> 30U) * 1812433253U + (uint32_T)(1 + mti); mt[1 + mti] = r; } mt[624] = 624U; } real_T randn(void) { real_T r; uint32_T e_state; real_T t; real_T b_r; uint32_T f_state; if (method == 0U) { if (b_method == 4U) { do { genrandu(b_state, &e_state, &r); genrandu(e_state, &b_state, &t); b_r = 2.0 * r - 1.0; t = 2.0 * t - 1.0; t = t * t + b_r * b_r; } while (!(t <= 1.0)); r = (2.0 * r - 1.0) * sqrt(-2.0 * log(t) / t); } else if (b_method == 5U) { r = eml_rand_shr3cong(c_state); } else { if (!state_not_empty) { memset(&d_state[0], 0, 625U * sizeof(uint32_T)); twister_state_vector(d_state, 5489.0); state_not_empty = TRUE; } r = eml_rand_mt19937ar(d_state); } } else if (method == 4U) { e_state = state[0]; do { genrandu(e_state, &f_state, &r); genrandu(f_state, &e_state, &t); b_r = 2.0 * r - 1.0; t = 2.0 * t - 1.0; t = t * t + b_r * b_r; } while (!(t <= 1.0)); state[0] = e_state; r = (2.0 * r - 1.0) * sqrt(-2.0 * log(t) / t); } else { r = eml_rand_shr3cong(state); } return r; } /* End of code generation (randn.c) */