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      1 /* Copyright (c) 2007-2008 CSIRO
      2    Copyright (c) 2007-2009 Xiph.Org Foundation
      3    Written by Jean-Marc Valin */
      4 /**
      5    @file pitch.c
      6    @brief Pitch analysis
      7  */
      8 
      9 /*
     10    Redistribution and use in source and binary forms, with or without
     11    modification, are permitted provided that the following conditions
     12    are met:
     13 
     14    - Redistributions of source code must retain the above copyright
     15    notice, this list of conditions and the following disclaimer.
     16 
     17    - Redistributions in binary form must reproduce the above copyright
     18    notice, this list of conditions and the following disclaimer in the
     19    documentation and/or other materials provided with the distribution.
     20 
     21    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     22    ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     23    LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
     24    A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
     25    OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
     26    EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
     27    PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
     28    PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
     29    LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
     30    NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
     31    SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     32 */
     33 
     34 #ifdef HAVE_CONFIG_H
     35 #include "config.h"
     36 #endif
     37 
     38 #include "pitch.h"
     39 #include "os_support.h"
     40 #include "modes.h"
     41 #include "stack_alloc.h"
     42 #include "mathops.h"
     43 #include "celt_lpc.h"
     44 
     45 static void find_best_pitch(opus_val32 *xcorr, opus_val16 *y, int len,
     46                             int max_pitch, int *best_pitch
     47 #ifdef FIXED_POINT
     48                             , int yshift, opus_val32 maxcorr
     49 #endif
     50                             )
     51 {
     52    int i, j;
     53    opus_val32 Syy=1;
     54    opus_val16 best_num[2];
     55    opus_val32 best_den[2];
     56 #ifdef FIXED_POINT
     57    int xshift;
     58 
     59    xshift = celt_ilog2(maxcorr)-14;
     60 #endif
     61 
     62    best_num[0] = -1;
     63    best_num[1] = -1;
     64    best_den[0] = 0;
     65    best_den[1] = 0;
     66    best_pitch[0] = 0;
     67    best_pitch[1] = 1;
     68    for (j=0;j<len;j++)
     69       Syy = ADD32(Syy, SHR32(MULT16_16(y[j],y[j]), yshift));
     70    for (i=0;i<max_pitch;i++)
     71    {
     72       if (xcorr[i]>0)
     73       {
     74          opus_val16 num;
     75          opus_val32 xcorr16;
     76          xcorr16 = EXTRACT16(VSHR32(xcorr[i], xshift));
     77 #ifndef FIXED_POINT
     78          /* Considering the range of xcorr16, this should avoid both underflows
     79             and overflows (inf) when squaring xcorr16 */
     80          xcorr16 *= 1e-12f;
     81 #endif
     82          num = MULT16_16_Q15(xcorr16,xcorr16);
     83          if (MULT16_32_Q15(num,best_den[1]) > MULT16_32_Q15(best_num[1],Syy))
     84          {
     85             if (MULT16_32_Q15(num,best_den[0]) > MULT16_32_Q15(best_num[0],Syy))
     86             {
     87                best_num[1] = best_num[0];
     88                best_den[1] = best_den[0];
     89                best_pitch[1] = best_pitch[0];
     90                best_num[0] = num;
     91                best_den[0] = Syy;
     92                best_pitch[0] = i;
     93             } else {
     94                best_num[1] = num;
     95                best_den[1] = Syy;
     96                best_pitch[1] = i;
     97             }
     98          }
     99       }
    100       Syy += SHR32(MULT16_16(y[i+len],y[i+len]),yshift) - SHR32(MULT16_16(y[i],y[i]),yshift);
    101       Syy = MAX32(1, Syy);
    102    }
    103 }
    104 
    105 static void celt_fir5(const opus_val16 *x,
    106          const opus_val16 *num,
    107          opus_val16 *y,
    108          int N,
    109          opus_val16 *mem)
    110 {
    111    int i;
    112    opus_val16 num0, num1, num2, num3, num4;
    113    opus_val32 mem0, mem1, mem2, mem3, mem4;
    114    num0=num[0];
    115    num1=num[1];
    116    num2=num[2];
    117    num3=num[3];
    118    num4=num[4];
    119    mem0=mem[0];
    120    mem1=mem[1];
    121    mem2=mem[2];
    122    mem3=mem[3];
    123    mem4=mem[4];
    124    for (i=0;i<N;i++)
    125    {
    126       opus_val32 sum = SHL32(EXTEND32(x[i]), SIG_SHIFT);
    127       sum = MAC16_16(sum,num0,mem0);
    128       sum = MAC16_16(sum,num1,mem1);
    129       sum = MAC16_16(sum,num2,mem2);
    130       sum = MAC16_16(sum,num3,mem3);
    131       sum = MAC16_16(sum,num4,mem4);
    132       mem4 = mem3;
    133       mem3 = mem2;
    134       mem2 = mem1;
    135       mem1 = mem0;
    136       mem0 = x[i];
    137       y[i] = ROUND16(sum, SIG_SHIFT);
    138    }
    139    mem[0]=mem0;
    140    mem[1]=mem1;
    141    mem[2]=mem2;
    142    mem[3]=mem3;
    143    mem[4]=mem4;
    144 }
    145 
    146 
    147 void pitch_downsample(celt_sig * OPUS_RESTRICT x[], opus_val16 * OPUS_RESTRICT x_lp,
    148       int len, int C, int arch)
    149 {
    150    int i;
    151    opus_val32 ac[5];
    152    opus_val16 tmp=Q15ONE;
    153    opus_val16 lpc[4], mem[5]={0,0,0,0,0};
    154    opus_val16 lpc2[5];
    155    opus_val16 c1 = QCONST16(.8f,15);
    156 #ifdef FIXED_POINT
    157    int shift;
    158    opus_val32 maxabs = celt_maxabs32(x[0], len);
    159    if (C==2)
    160    {
    161       opus_val32 maxabs_1 = celt_maxabs32(x[1], len);
    162       maxabs = MAX32(maxabs, maxabs_1);
    163    }
    164    if (maxabs<1)
    165       maxabs=1;
    166    shift = celt_ilog2(maxabs)-10;
    167    if (shift<0)
    168       shift=0;
    169    if (C==2)
    170       shift++;
    171 #endif
    172    for (i=1;i<len>>1;i++)
    173       x_lp[i] = SHR32(HALF32(HALF32(x[0][(2*i-1)]+x[0][(2*i+1)])+x[0][2*i]), shift);
    174    x_lp[0] = SHR32(HALF32(HALF32(x[0][1])+x[0][0]), shift);
    175    if (C==2)
    176    {
    177       for (i=1;i<len>>1;i++)
    178          x_lp[i] += SHR32(HALF32(HALF32(x[1][(2*i-1)]+x[1][(2*i+1)])+x[1][2*i]), shift);
    179       x_lp[0] += SHR32(HALF32(HALF32(x[1][1])+x[1][0]), shift);
    180    }
    181 
    182    _celt_autocorr(x_lp, ac, NULL, 0,
    183                   4, len>>1, arch);
    184 
    185    /* Noise floor -40 dB */
    186 #ifdef FIXED_POINT
    187    ac[0] += SHR32(ac[0],13);
    188 #else
    189    ac[0] *= 1.0001f;
    190 #endif
    191    /* Lag windowing */
    192    for (i=1;i<=4;i++)
    193    {
    194       /*ac[i] *= exp(-.5*(2*M_PI*.002*i)*(2*M_PI*.002*i));*/
    195 #ifdef FIXED_POINT
    196       ac[i] -= MULT16_32_Q15(2*i*i, ac[i]);
    197 #else
    198       ac[i] -= ac[i]*(.008f*i)*(.008f*i);
    199 #endif
    200    }
    201 
    202    _celt_lpc(lpc, ac, 4);
    203    for (i=0;i<4;i++)
    204    {
    205       tmp = MULT16_16_Q15(QCONST16(.9f,15), tmp);
    206       lpc[i] = MULT16_16_Q15(lpc[i], tmp);
    207    }
    208    /* Add a zero */
    209    lpc2[0] = lpc[0] + QCONST16(.8f,SIG_SHIFT);
    210    lpc2[1] = lpc[1] + MULT16_16_Q15(c1,lpc[0]);
    211    lpc2[2] = lpc[2] + MULT16_16_Q15(c1,lpc[1]);
    212    lpc2[3] = lpc[3] + MULT16_16_Q15(c1,lpc[2]);
    213    lpc2[4] = MULT16_16_Q15(c1,lpc[3]);
    214    celt_fir5(x_lp, lpc2, x_lp, len>>1, mem);
    215 }
    216 
    217 #if 0 /* This is a simple version of the pitch correlation that should work
    218          well on DSPs like Blackfin and TI C5x/C6x */
    219 
    220 #ifdef FIXED_POINT
    221 opus_val32
    222 #else
    223 void
    224 #endif
    225 celt_pitch_xcorr(opus_val16 *x, opus_val16 *y, opus_val32 *xcorr, int len, int max_pitch)
    226 {
    227    int i, j;
    228 #ifdef FIXED_POINT
    229    opus_val32 maxcorr=1;
    230 #endif
    231    for (i=0;i<max_pitch;i++)
    232    {
    233       opus_val32 sum = 0;
    234       for (j=0;j<len;j++)
    235          sum = MAC16_16(sum, x[j],y[i+j]);
    236       xcorr[i] = sum;
    237 #ifdef FIXED_POINT
    238       maxcorr = MAX32(maxcorr, sum);
    239 #endif
    240    }
    241 #ifdef FIXED_POINT
    242    return maxcorr;
    243 #endif
    244 }
    245 
    246 #else /* Unrolled version of the pitch correlation -- runs faster on x86 and ARM */
    247 
    248 #ifdef FIXED_POINT
    249 opus_val32
    250 #else
    251 void
    252 #endif
    253 celt_pitch_xcorr_c(const opus_val16 *_x, const opus_val16 *_y, opus_val32 *xcorr, int len, int max_pitch)
    254 {
    255    int i,j;
    256    /*The EDSP version requires that max_pitch is at least 1, and that _x is
    257       32-bit aligned.
    258      Since it's hard to put asserts in assembly, put them here.*/
    259    celt_assert(max_pitch>0);
    260    celt_assert((((unsigned char *)_x-(unsigned char *)NULL)&3)==0);
    261 #ifdef FIXED_POINT
    262    opus_val32 maxcorr=1;
    263 #endif
    264    for (i=0;i<max_pitch-3;i+=4)
    265    {
    266       opus_val32 sum[4]={0,0,0,0};
    267       xcorr_kernel(_x, _y+i, sum, len);
    268       xcorr[i]=sum[0];
    269       xcorr[i+1]=sum[1];
    270       xcorr[i+2]=sum[2];
    271       xcorr[i+3]=sum[3];
    272 #ifdef FIXED_POINT
    273       sum[0] = MAX32(sum[0], sum[1]);
    274       sum[2] = MAX32(sum[2], sum[3]);
    275       sum[0] = MAX32(sum[0], sum[2]);
    276       maxcorr = MAX32(maxcorr, sum[0]);
    277 #endif
    278    }
    279    /* In case max_pitch isn't a multiple of 4, do non-unrolled version. */
    280    for (;i<max_pitch;i++)
    281    {
    282       opus_val32 sum = 0;
    283       for (j=0;j<len;j++)
    284          sum = MAC16_16(sum, _x[j],_y[i+j]);
    285       xcorr[i] = sum;
    286 #ifdef FIXED_POINT
    287       maxcorr = MAX32(maxcorr, sum);
    288 #endif
    289    }
    290 #ifdef FIXED_POINT
    291    return maxcorr;
    292 #endif
    293 }
    294 
    295 #endif
    296 void pitch_search(const opus_val16 * OPUS_RESTRICT x_lp, opus_val16 * OPUS_RESTRICT y,
    297                   int len, int max_pitch, int *pitch, int arch)
    298 {
    299    int i, j;
    300    int lag;
    301    int best_pitch[2]={0,0};
    302    VARDECL(opus_val16, x_lp4);
    303    VARDECL(opus_val16, y_lp4);
    304    VARDECL(opus_val32, xcorr);
    305 #ifdef FIXED_POINT
    306    opus_val32 maxcorr;
    307    opus_val32 xmax, ymax;
    308    int shift=0;
    309 #endif
    310    int offset;
    311 
    312    SAVE_STACK;
    313 
    314    celt_assert(len>0);
    315    celt_assert(max_pitch>0);
    316    lag = len+max_pitch;
    317 
    318    ALLOC(x_lp4, len>>2, opus_val16);
    319    ALLOC(y_lp4, lag>>2, opus_val16);
    320    ALLOC(xcorr, max_pitch>>1, opus_val32);
    321 
    322    /* Downsample by 2 again */
    323    for (j=0;j<len>>2;j++)
    324       x_lp4[j] = x_lp[2*j];
    325    for (j=0;j<lag>>2;j++)
    326       y_lp4[j] = y[2*j];
    327 
    328 #ifdef FIXED_POINT
    329    xmax = celt_maxabs16(x_lp4, len>>2);
    330    ymax = celt_maxabs16(y_lp4, lag>>2);
    331    shift = celt_ilog2(MAX32(1, MAX32(xmax, ymax)))-11;
    332    if (shift>0)
    333    {
    334       for (j=0;j<len>>2;j++)
    335          x_lp4[j] = SHR16(x_lp4[j], shift);
    336       for (j=0;j<lag>>2;j++)
    337          y_lp4[j] = SHR16(y_lp4[j], shift);
    338       /* Use double the shift for a MAC */
    339       shift *= 2;
    340    } else {
    341       shift = 0;
    342    }
    343 #endif
    344 
    345    /* Coarse search with 4x decimation */
    346 
    347 #ifdef FIXED_POINT
    348    maxcorr =
    349 #endif
    350    celt_pitch_xcorr(x_lp4, y_lp4, xcorr, len>>2, max_pitch>>2, arch);
    351 
    352    find_best_pitch(xcorr, y_lp4, len>>2, max_pitch>>2, best_pitch
    353 #ifdef FIXED_POINT
    354                    , 0, maxcorr
    355 #endif
    356                    );
    357 
    358    /* Finer search with 2x decimation */
    359 #ifdef FIXED_POINT
    360    maxcorr=1;
    361 #endif
    362    for (i=0;i<max_pitch>>1;i++)
    363    {
    364       opus_val32 sum=0;
    365       xcorr[i] = 0;
    366       if (abs(i-2*best_pitch[0])>2 && abs(i-2*best_pitch[1])>2)
    367          continue;
    368       for (j=0;j<len>>1;j++)
    369          sum += SHR32(MULT16_16(x_lp[j],y[i+j]), shift);
    370       xcorr[i] = MAX32(-1, sum);
    371 #ifdef FIXED_POINT
    372       maxcorr = MAX32(maxcorr, sum);
    373 #endif
    374    }
    375    find_best_pitch(xcorr, y, len>>1, max_pitch>>1, best_pitch
    376 #ifdef FIXED_POINT
    377                    , shift+1, maxcorr
    378 #endif
    379                    );
    380 
    381    /* Refine by pseudo-interpolation */
    382    if (best_pitch[0]>0 && best_pitch[0]<(max_pitch>>1)-1)
    383    {
    384       opus_val32 a, b, c;
    385       a = xcorr[best_pitch[0]-1];
    386       b = xcorr[best_pitch[0]];
    387       c = xcorr[best_pitch[0]+1];
    388       if ((c-a) > MULT16_32_Q15(QCONST16(.7f,15),b-a))
    389          offset = 1;
    390       else if ((a-c) > MULT16_32_Q15(QCONST16(.7f,15),b-c))
    391          offset = -1;
    392       else
    393          offset = 0;
    394    } else {
    395       offset = 0;
    396    }
    397    *pitch = 2*best_pitch[0]-offset;
    398 
    399    RESTORE_STACK;
    400 }
    401 
    402 static const int second_check[16] = {0, 0, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2};
    403 opus_val16 remove_doubling(opus_val16 *x, int maxperiod, int minperiod,
    404       int N, int *T0_, int prev_period, opus_val16 prev_gain)
    405 {
    406    int k, i, T, T0;
    407    opus_val16 g, g0;
    408    opus_val16 pg;
    409    opus_val32 xy,xx,yy,xy2;
    410    opus_val32 xcorr[3];
    411    opus_val32 best_xy, best_yy;
    412    int offset;
    413    int minperiod0;
    414    VARDECL(opus_val32, yy_lookup);
    415    SAVE_STACK;
    416 
    417    minperiod0 = minperiod;
    418    maxperiod /= 2;
    419    minperiod /= 2;
    420    *T0_ /= 2;
    421    prev_period /= 2;
    422    N /= 2;
    423    x += maxperiod;
    424    if (*T0_>=maxperiod)
    425       *T0_=maxperiod-1;
    426 
    427    T = T0 = *T0_;
    428    ALLOC(yy_lookup, maxperiod+1, opus_val32);
    429    dual_inner_prod(x, x, x-T0, N, &xx, &xy);
    430    yy_lookup[0] = xx;
    431    yy=xx;
    432    for (i=1;i<=maxperiod;i++)
    433    {
    434       yy = yy+MULT16_16(x[-i],x[-i])-MULT16_16(x[N-i],x[N-i]);
    435       yy_lookup[i] = MAX32(0, yy);
    436    }
    437    yy = yy_lookup[T0];
    438    best_xy = xy;
    439    best_yy = yy;
    440 #ifdef FIXED_POINT
    441       {
    442          opus_val32 x2y2;
    443          int sh, t;
    444          x2y2 = 1+HALF32(MULT32_32_Q31(xx,yy));
    445          sh = celt_ilog2(x2y2)>>1;
    446          t = VSHR32(x2y2, 2*(sh-7));
    447          g = g0 = VSHR32(MULT16_32_Q15(celt_rsqrt_norm(t), xy),sh+1);
    448       }
    449 #else
    450       g = g0 = xy/celt_sqrt(1+xx*yy);
    451 #endif
    452    /* Look for any pitch at T/k */
    453    for (k=2;k<=15;k++)
    454    {
    455       int T1, T1b;
    456       opus_val16 g1;
    457       opus_val16 cont=0;
    458       opus_val16 thresh;
    459       T1 = (2*T0+k)/(2*k);
    460       if (T1 < minperiod)
    461          break;
    462       /* Look for another strong correlation at T1b */
    463       if (k==2)
    464       {
    465          if (T1+T0>maxperiod)
    466             T1b = T0;
    467          else
    468             T1b = T0+T1;
    469       } else
    470       {
    471          T1b = (2*second_check[k]*T0+k)/(2*k);
    472       }
    473       dual_inner_prod(x, &x[-T1], &x[-T1b], N, &xy, &xy2);
    474       xy += xy2;
    475       yy = yy_lookup[T1] + yy_lookup[T1b];
    476 #ifdef FIXED_POINT
    477       {
    478          opus_val32 x2y2;
    479          int sh, t;
    480          x2y2 = 1+MULT32_32_Q31(xx,yy);
    481          sh = celt_ilog2(x2y2)>>1;
    482          t = VSHR32(x2y2, 2*(sh-7));
    483          g1 = VSHR32(MULT16_32_Q15(celt_rsqrt_norm(t), xy),sh+1);
    484       }
    485 #else
    486       g1 = xy/celt_sqrt(1+2.f*xx*1.f*yy);
    487 #endif
    488       if (abs(T1-prev_period)<=1)
    489          cont = prev_gain;
    490       else if (abs(T1-prev_period)<=2 && 5*k*k < T0)
    491          cont = HALF32(prev_gain);
    492       else
    493          cont = 0;
    494       thresh = MAX16(QCONST16(.3f,15), MULT16_16_Q15(QCONST16(.7f,15),g0)-cont);
    495       /* Bias against very high pitch (very short period) to avoid false-positives
    496          due to short-term correlation */
    497       if (T1<3*minperiod)
    498          thresh = MAX16(QCONST16(.4f,15), MULT16_16_Q15(QCONST16(.85f,15),g0)-cont);
    499       else if (T1<2*minperiod)
    500          thresh = MAX16(QCONST16(.5f,15), MULT16_16_Q15(QCONST16(.9f,15),g0)-cont);
    501       if (g1 > thresh)
    502       {
    503          best_xy = xy;
    504          best_yy = yy;
    505          T = T1;
    506          g = g1;
    507       }
    508    }
    509    best_xy = MAX32(0, best_xy);
    510    if (best_yy <= best_xy)
    511       pg = Q15ONE;
    512    else
    513       pg = SHR32(frac_div32(best_xy,best_yy+1),16);
    514 
    515    for (k=0;k<3;k++)
    516    {
    517       int T1 = T+k-1;
    518       xy = 0;
    519       for (i=0;i<N;i++)
    520          xy = MAC16_16(xy, x[i], x[i-T1]);
    521       xcorr[k] = xy;
    522    }
    523    if ((xcorr[2]-xcorr[0]) > MULT16_32_Q15(QCONST16(.7f,15),xcorr[1]-xcorr[0]))
    524       offset = 1;
    525    else if ((xcorr[0]-xcorr[2]) > MULT16_32_Q15(QCONST16(.7f,15),xcorr[1]-xcorr[2]))
    526       offset = -1;
    527    else
    528       offset = 0;
    529    if (pg > g)
    530       pg = g;
    531    *T0_ = 2*T+offset;
    532 
    533    if (*T0_<minperiod0)
    534       *T0_=minperiod0;
    535    RESTORE_STACK;
    536    return pg;
    537 }
    538