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386 lines
10 KiB
C
386 lines
10 KiB
C
// pdmath.c
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// Elementary math on probability distributions
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//
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// (c) 2016 - Nico Palermo, IV3NWV - Microtelecom Srl, Italy
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// ------------------------------------------------------------------------------
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// This file is part of the qracodes project, a Forward Error Control
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// encoding/decoding package based on Q-ary RA (Repeat and Accumulate) LDPC codes.
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//
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// qracodes is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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// qracodes is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License
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// along with qracodes source distribution.
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// If not, see <http://www.gnu.org/licenses/>.
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#include "pdmath.h"
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typedef const float *ppd_uniform;
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typedef void (*ppd_imul)(float*,const float*);
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typedef float (*ppd_norm)(float*);
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// define vector size in function of its logarithm in base 2
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static const int pd_log2dim[7] = {
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1,2,4,8,16,32,64
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};
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// define uniform distributions of given size
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static const float pd_uniform1[1] = {
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1.
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};
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static const float pd_uniform2[2] = {
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1./2., 1./2.
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};
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static const float pd_uniform4[4] = {
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1./4., 1./4.,1./4., 1./4.
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};
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static const float pd_uniform8[8] = {
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1./8., 1./8.,1./8., 1./8.,1./8., 1./8.,1./8., 1./8.
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};
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static const float pd_uniform16[16] = {
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1./16., 1./16., 1./16., 1./16.,1./16., 1./16.,1./16., 1./16.,
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1./16., 1./16., 1./16., 1./16.,1./16., 1./16.,1./16., 1./16.
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};
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static const float pd_uniform32[32] = {
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1./32., 1./32., 1./32., 1./32.,1./32., 1./32.,1./32., 1./32.,
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1./32., 1./32., 1./32., 1./32.,1./32., 1./32.,1./32., 1./32.,
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1./32., 1./32., 1./32., 1./32.,1./32., 1./32.,1./32., 1./32.,
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1./32., 1./32., 1./32., 1./32.,1./32., 1./32.,1./32., 1./32.
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};
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static const float pd_uniform64[64] = {
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.,
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1./64., 1./64., 1./64., 1./64.,1./64., 1./64.,1./64., 1./64.
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};
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static const ppd_uniform pd_uniform_tab[7] = {
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pd_uniform1,
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pd_uniform2,
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pd_uniform4,
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pd_uniform8,
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pd_uniform16,
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pd_uniform32,
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pd_uniform64
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};
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// returns a pointer to the uniform distribution of the given logsize
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const float *pd_uniform(int nlogdim)
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{
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return pd_uniform_tab[nlogdim];
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}
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// in-place multiplication functions
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// compute dst = dst*src for any element of the distrib
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static void pd_imul1(float *dst, const float *src)
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{
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dst[0] *= src[0];
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}
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static void pd_imul2(float *dst, const float *src)
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{
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dst[0] *= src[0]; dst[1] *= src[1];
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}
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static void pd_imul4(float *dst, const float *src)
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{
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dst[0] *= src[0]; dst[1] *= src[1];
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dst[2] *= src[2]; dst[3] *= src[3];
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}
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static void pd_imul8(float *dst, const float *src)
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{
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dst[0] *= src[0]; dst[1] *= src[1]; dst[2] *= src[2]; dst[3] *= src[3];
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dst[4] *= src[4]; dst[5] *= src[5]; dst[6] *= src[6]; dst[7] *= src[7];
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}
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static void pd_imul16(float *dst, const float *src)
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{
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dst[0] *= src[0]; dst[1] *= src[1]; dst[2] *= src[2]; dst[3] *= src[3];
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dst[4] *= src[4]; dst[5] *= src[5]; dst[6] *= src[6]; dst[7] *= src[7];
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dst[8] *= src[8]; dst[9] *= src[9]; dst[10]*= src[10]; dst[11]*= src[11];
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dst[12]*= src[12]; dst[13]*= src[13]; dst[14]*= src[14]; dst[15]*= src[15];
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}
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static void pd_imul32(float *dst, const float *src)
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{
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pd_imul16(dst,src);
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pd_imul16(dst+16,src+16);
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}
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static void pd_imul64(float *dst, const float *src)
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{
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pd_imul16(dst, src);
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pd_imul16(dst+16, src+16);
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pd_imul16(dst+32, src+32);
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pd_imul16(dst+48, src+48);
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}
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static const ppd_imul pd_imul_tab[7] = {
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pd_imul1,
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pd_imul2,
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pd_imul4,
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pd_imul8,
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pd_imul16,
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pd_imul32,
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pd_imul64
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};
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// in place multiplication
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// compute dst = dst*src for any element of the distrib give their log2 size
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// arguments must be pointers to array of floats of the given size
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void pd_imul(float *dst, const float *src, int nlogdim)
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{
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pd_imul_tab[nlogdim](dst,src);
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}
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static float pd_norm1(float *ppd)
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{
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float t = ppd[0];
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ppd[0] = 1.f;
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return t;
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}
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static float pd_norm2(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1];
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if (t<=0) {
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pd_init(ppd,pd_uniform(1),pd_log2dim[1]);
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return t;
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}
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to = t;
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t = 1.f/t;
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ppd[0] *=t; ppd[1] *=t;
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return to;
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}
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static float pd_norm4(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1]; t +=ppd[2]; t +=ppd[3];
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if (t<=0) {
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pd_init(ppd,pd_uniform(2),pd_log2dim[2]);
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return t;
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}
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to = t;
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t = 1.f/t;
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ppd[0] *=t; ppd[1] *=t; ppd[2] *=t; ppd[3] *=t;
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return to;
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}
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static float pd_norm8(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1]; t +=ppd[2]; t +=ppd[3];
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t +=ppd[4]; t +=ppd[5]; t +=ppd[6]; t +=ppd[7];
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if (t<=0) {
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pd_init(ppd,pd_uniform(3),pd_log2dim[3]);
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return t;
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}
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to = t;
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t = 1.f/t;
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ppd[0] *=t; ppd[1] *=t; ppd[2] *=t; ppd[3] *=t;
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ppd[4] *=t; ppd[5] *=t; ppd[6] *=t; ppd[7] *=t;
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return to;
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}
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static float pd_norm16(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1]; t +=ppd[2]; t +=ppd[3];
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t +=ppd[4]; t +=ppd[5]; t +=ppd[6]; t +=ppd[7];
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t +=ppd[8]; t +=ppd[9]; t +=ppd[10]; t +=ppd[11];
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t +=ppd[12]; t +=ppd[13]; t +=ppd[14]; t +=ppd[15];
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if (t<=0) {
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pd_init(ppd,pd_uniform(4),pd_log2dim[4]);
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return t;
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}
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to = t;
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t = 1.f/t;
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ppd[0] *=t; ppd[1] *=t; ppd[2] *=t; ppd[3] *=t;
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ppd[4] *=t; ppd[5] *=t; ppd[6] *=t; ppd[7] *=t;
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ppd[8] *=t; ppd[9] *=t; ppd[10] *=t; ppd[11] *=t;
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ppd[12] *=t; ppd[13] *=t; ppd[14] *=t; ppd[15] *=t;
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return to;
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}
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static float pd_norm32(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1]; t +=ppd[2]; t +=ppd[3];
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t +=ppd[4]; t +=ppd[5]; t +=ppd[6]; t +=ppd[7];
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t +=ppd[8]; t +=ppd[9]; t +=ppd[10]; t +=ppd[11];
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t +=ppd[12]; t +=ppd[13]; t +=ppd[14]; t +=ppd[15];
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t +=ppd[16]; t +=ppd[17]; t +=ppd[18]; t +=ppd[19];
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t +=ppd[20]; t +=ppd[21]; t +=ppd[22]; t +=ppd[23];
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t +=ppd[24]; t +=ppd[25]; t +=ppd[26]; t +=ppd[27];
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t +=ppd[28]; t +=ppd[29]; t +=ppd[30]; t +=ppd[31];
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if (t<=0) {
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pd_init(ppd,pd_uniform(5),pd_log2dim[5]);
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return t;
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}
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to = t;
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t = 1.f/t;
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ppd[0] *=t; ppd[1] *=t; ppd[2] *=t; ppd[3] *=t;
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ppd[4] *=t; ppd[5] *=t; ppd[6] *=t; ppd[7] *=t;
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ppd[8] *=t; ppd[9] *=t; ppd[10] *=t; ppd[11] *=t;
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ppd[12] *=t; ppd[13] *=t; ppd[14] *=t; ppd[15] *=t;
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ppd[16] *=t; ppd[17] *=t; ppd[18] *=t; ppd[19] *=t;
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ppd[20] *=t; ppd[21] *=t; ppd[22] *=t; ppd[23] *=t;
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ppd[24] *=t; ppd[25] *=t; ppd[26] *=t; ppd[27] *=t;
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ppd[28] *=t; ppd[29] *=t; ppd[30] *=t; ppd[31] *=t;
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return to;
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}
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static float pd_norm64(float *ppd)
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{
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float t,to;
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t =ppd[0]; t +=ppd[1]; t +=ppd[2]; t +=ppd[3];
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t +=ppd[4]; t +=ppd[5]; t +=ppd[6]; t +=ppd[7];
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t +=ppd[8]; t +=ppd[9]; t +=ppd[10]; t +=ppd[11];
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t +=ppd[12]; t +=ppd[13]; t +=ppd[14]; t +=ppd[15];
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t +=ppd[16]; t +=ppd[17]; t +=ppd[18]; t +=ppd[19];
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t +=ppd[20]; t +=ppd[21]; t +=ppd[22]; t +=ppd[23];
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t +=ppd[24]; t +=ppd[25]; t +=ppd[26]; t +=ppd[27];
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t +=ppd[28]; t +=ppd[29]; t +=ppd[30]; t +=ppd[31];
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t +=ppd[32]; t +=ppd[33]; t +=ppd[34]; t +=ppd[35];
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t +=ppd[36]; t +=ppd[37]; t +=ppd[38]; t +=ppd[39];
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t +=ppd[40]; t +=ppd[41]; t +=ppd[42]; t +=ppd[43];
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t +=ppd[44]; t +=ppd[45]; t +=ppd[46]; t +=ppd[47];
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t +=ppd[48]; t +=ppd[49]; t +=ppd[50]; t +=ppd[51];
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t +=ppd[52]; t +=ppd[53]; t +=ppd[54]; t +=ppd[55];
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t +=ppd[56]; t +=ppd[57]; t +=ppd[58]; t +=ppd[59];
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t +=ppd[60]; t +=ppd[61]; t +=ppd[62]; t +=ppd[63];
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if (t<=0) {
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pd_init(ppd,pd_uniform(6),pd_log2dim[6]);
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return t;
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}
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to = t;
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t = 1.0f/t;
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ppd[0] *=t; ppd[1] *=t; ppd[2] *=t; ppd[3] *=t;
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ppd[4] *=t; ppd[5] *=t; ppd[6] *=t; ppd[7] *=t;
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ppd[8] *=t; ppd[9] *=t; ppd[10] *=t; ppd[11] *=t;
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ppd[12] *=t; ppd[13] *=t; ppd[14] *=t; ppd[15] *=t;
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ppd[16] *=t; ppd[17] *=t; ppd[18] *=t; ppd[19] *=t;
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ppd[20] *=t; ppd[21] *=t; ppd[22] *=t; ppd[23] *=t;
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ppd[24] *=t; ppd[25] *=t; ppd[26] *=t; ppd[27] *=t;
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ppd[28] *=t; ppd[29] *=t; ppd[30] *=t; ppd[31] *=t;
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ppd[32] *=t; ppd[33] *=t; ppd[34] *=t; ppd[35] *=t;
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ppd[36] *=t; ppd[37] *=t; ppd[38] *=t; ppd[39] *=t;
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ppd[40] *=t; ppd[41] *=t; ppd[42] *=t; ppd[43] *=t;
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ppd[44] *=t; ppd[45] *=t; ppd[46] *=t; ppd[47] *=t;
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ppd[48] *=t; ppd[49] *=t; ppd[50] *=t; ppd[51] *=t;
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ppd[52] *=t; ppd[53] *=t; ppd[54] *=t; ppd[55] *=t;
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ppd[56] *=t; ppd[57] *=t; ppd[58] *=t; ppd[59] *=t;
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ppd[60] *=t; ppd[61] *=t; ppd[62] *=t; ppd[63] *=t;
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return to;
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}
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static const ppd_norm pd_norm_tab[7] = {
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pd_norm1,
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pd_norm2,
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pd_norm4,
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pd_norm8,
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pd_norm16,
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pd_norm32,
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pd_norm64
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};
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float pd_norm(float *pd, int nlogdim)
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{
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return pd_norm_tab[nlogdim](pd);
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}
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void pd_memset(float *dst, const float *src, int ndim, int nitems)
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{
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int size = PD_SIZE(ndim);
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while(nitems--) {
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memcpy(dst,src,size);
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dst +=ndim;
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}
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}
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void pd_fwdperm(float *dst, float *src, const int *perm, int ndim)
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{
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// TODO: non-loop implementation
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while (ndim--)
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dst[ndim] = src[perm[ndim]];
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}
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void pd_bwdperm(float *dst, float *src, const int *perm, int ndim)
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{
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// TODO: non-loop implementation
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while (ndim--)
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dst[perm[ndim]] = src[ndim];
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}
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float pd_max(float *src, int ndim)
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{
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// TODO: faster implementation
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float cmax=0; // we assume that prob distributions are always positive
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float cval;
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while (ndim--) {
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cval = src[ndim];
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if (cval>=cmax) {
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cmax = cval;
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}
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}
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return cmax;
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}
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int pd_argmax(float *pmax, float *src, int ndim)
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{
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// TODO: faster implementation
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float cmax=0; // we assume that prob distributions are always positive
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float cval;
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int idxmax=-1; // indicates that all pd elements are <0
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while (ndim--) {
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cval = src[ndim];
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if (cval>=cmax) {
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cmax = cval;
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idxmax = ndim;
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}
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}
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if (pmax)
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*pmax = cmax;
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return idxmax;
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}
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