12bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian/* Copyright (c) 2007 CSIRO
22bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   Copyright (c) 2007-2009 Xiph.Org Foundation
32bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   Written by Jean-Marc Valin */
42bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian/*
52bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   Redistribution and use in source and binary forms, with or without
62bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   modification, are permitted provided that the following conditions
72bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   are met:
82bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
92bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   - Redistributions of source code must retain the above copyright
102bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   notice, this list of conditions and the following disclaimer.
112bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
122bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   - Redistributions in binary form must reproduce the above copyright
132bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   notice, this list of conditions and the following disclaimer in the
142bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   documentation and/or other materials provided with the distribution.
152bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
162bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
172bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
182bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
192bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
202bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
212bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
222bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
232bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
242bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
252bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
262bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
272bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian*/
282bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
292bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#ifdef HAVE_CONFIG_H
302bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#include "config.h"
312bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#endif
322bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
332bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#include "laplace.h"
342bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#include "mathops.h"
352bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
362bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian/* The minimum probability of an energy delta (out of 32768). */
372bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#define LAPLACE_LOG_MINP (0)
382bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#define LAPLACE_MINP (1<<LAPLACE_LOG_MINP)
392bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian/* The minimum number of guaranteed representable energy deltas (in one
402bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian    direction). */
412bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian#define LAPLACE_NMIN (16)
422bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
432bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian/* When called, decay is positive and at most 11456. */
442bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanianstatic unsigned ec_laplace_get_freq1(unsigned fs0, int decay)
452bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian{
462bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   unsigned ft;
472bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   ft = 32768 - LAPLACE_MINP*(2*LAPLACE_NMIN) - fs0;
482bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   return ft*(opus_int32)(16384-decay)>>15;
492bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian}
502bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
512bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanianvoid ec_laplace_encode(ec_enc *enc, int *value, unsigned fs, int decay)
522bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian{
532bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   unsigned fl;
542bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   int val = *value;
552bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   fl = 0;
562bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   if (val)
572bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   {
582bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      int s;
592bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      int i;
602bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      s = -(val<0);
612bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      val = (val+s)^s;
622bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      fl = fs;
632bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      fs = ec_laplace_get_freq1(fs, decay);
642bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      /* Search the decaying part of the PDF.*/
652bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      for (i=1; fs > 0 && i < val; i++)
662bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      {
672bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs *= 2;
682bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += fs+2*LAPLACE_MINP;
692bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs = (fs*(opus_int32)decay)>>15;
702bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      }
712bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      /* Everything beyond that has probability LAPLACE_MINP. */
722bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      if (!fs)
732bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      {
742bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         int di;
752bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         int ndi_max;
762bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         ndi_max = (32768-fl+LAPLACE_MINP-1)>>LAPLACE_LOG_MINP;
772bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         ndi_max = (ndi_max-s)>>1;
782bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         di = IMIN(val - i, ndi_max - 1);
792bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += (2*di+1+s)*LAPLACE_MINP;
802bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs = IMIN(LAPLACE_MINP, 32768-fl);
812bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         *value = (i+di+s)^s;
822bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      }
832bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      else
842bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      {
852bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs += LAPLACE_MINP;
862bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += fs&~s;
872bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      }
882bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      celt_assert(fl+fs<=32768);
892bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      celt_assert(fs>0);
902bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   }
912bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   ec_encode_bin(enc, fl, fl+fs, 15);
922bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian}
932bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian
942bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanianint ec_laplace_decode(ec_dec *dec, unsigned fs, int decay)
952bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian{
962bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   int val=0;
972bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   unsigned fl;
982bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   unsigned fm;
992bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   fm = ec_decode_bin(dec, 15);
1002bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   fl = 0;
1012bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   if (fm >= fs)
1022bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   {
1032bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      val++;
1042bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      fl = fs;
1052bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      fs = ec_laplace_get_freq1(fs, decay)+LAPLACE_MINP;
1062bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      /* Search the decaying part of the PDF.*/
1072bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      while(fs > LAPLACE_MINP && fm >= fl+2*fs)
1082bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      {
1092bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs *= 2;
1102bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += fs;
1112bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs = ((fs-2*LAPLACE_MINP)*(opus_int32)decay)>>15;
1122bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fs += LAPLACE_MINP;
1132bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         val++;
1142bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      }
1152bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      /* Everything beyond that has probability LAPLACE_MINP. */
1162bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      if (fs <= LAPLACE_MINP)
1172bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      {
1182bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         int di;
1192bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         di = (fm-fl)>>(LAPLACE_LOG_MINP+1);
1202bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         val += di;
1212bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += 2*di*LAPLACE_MINP;
1222bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      }
1232bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      if (fm < fl+fs)
1242bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         val = -val;
1252bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian      else
1262bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian         fl += fs;
1272bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   }
1282bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   celt_assert(fl<32768);
1292bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   celt_assert(fs>0);
1302bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   celt_assert(fl<=fm);
1312bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   celt_assert(fm<IMIN(fl+fs,32768));
1322bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   ec_dec_update(dec, fl, IMIN(fl+fs,32768), 32768);
1332bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian   return val;
1342bd8b54017b5320bc0c1df9bf86f4cdc9f8db242Vignesh Venkatasubramanian}
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