third_party/opus/celt/tests/test_unit_mathops.c

/* Copyright (c) 2008-2011 Xiph.Org Foundation, Mozilla Corporation,
                           Gregory Maxwell
   Written by Jean-Marc Valin, Gregory Maxwell, and Timothy B. Terriberry */
/*
   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions
   are met:

   - Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.

   - 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.

   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.
*/

#ifdef HAVE_CONFIG_H
#include "config.h"
#endif

#ifndef CUSTOM_MODES
#define CUSTOM_MODES
#endif

#include <stdio.h>
#include <math.h>
#include "mathops.h"
#include "bands.h"

#ifdef FIXED_POINT
#define WORD "%d"
#else
#define WORD "%f"
#endif

int ret = 0;

void testdiv(void)
{
   opus_int32 i;
   for (i=1;i<=327670;i++)
   {
      double prod;
      opus_val32 val;
      val = celt_rcp(i);
#ifdef FIXED_POINT
      prod = (1./32768./65526.)*val*i;
#else
      prod = val*i;
#endif
      if (fabs(prod-1) > .00025)
      {
         fprintf (stderr, "div failed: 1/%d="WORD" (product = %f)\n", i, val, prod);
         ret = 1;
      }
   }
}

void testsqrt(void)
{
   opus_int32 i;
   for (i=1;i<=1000000000;i++)
   {
      double ratio;
      opus_val16 val;
      val = celt_sqrt(i);
      ratio = val/sqrt(i);
      if (fabs(ratio - 1) > .0005 && fabs(val-sqrt(i)) > 2)
      {
         fprintf (stderr, "sqrt failed: sqrt(%d)="WORD" (ratio = %f)\n", i, val, ratio);
         ret = 1;
      }
      i+= i>>10;
   }
}

void testbitexactcos(void)
{
   int i;
   opus_int32 min_d,max_d,last,chk;
   chk=max_d=0;
   last=min_d=32767;
   for(i=64;i<=16320;i++)
   {
      opus_int32 d;
      opus_int32 q=bitexact_cos(i);
      chk ^= q*i;
      d = last - q;
      if (d>max_d)max_d=d;
      if (d<min_d)min_d=d;
      last = q;
   }
   if ((chk!=89408644)||(max_d!=5)||(min_d!=0)||(bitexact_cos(64)!=32767)||
       (bitexact_cos(16320)!=200)||(bitexact_cos(8192)!=23171))
   {
      fprintf (stderr, "bitexact_cos failed\n");
      ret = 1;
   }
}

void testbitexactlog2tan(void)
{
   int i,fail;
   opus_int32 min_d,max_d,last,chk;
   fail=chk=max_d=0;
   last=min_d=15059;
   for(i=64;i<8193;i++)
   {
      opus_int32 d;
      opus_int32 mid=bitexact_cos(i);
      opus_int32 side=bitexact_cos(16384-i);
      opus_int32 q=bitexact_log2tan(mid,side);
      chk ^= q*i;
      d = last - q;
      if (q!=-1*bitexact_log2tan(side,mid))
        fail = 1;
      if (d>max_d)max_d=d;
      if (d<min_d)min_d=d;
      last = q;
   }
   if ((chk!=15821257)||(max_d!=61)||(min_d!=-2)||fail||
       (bitexact_log2tan(32767,200)!=15059)||(bitexact_log2tan(30274,12540)!=2611)||
       (bitexact_log2tan(23171,23171)!=0))
   {
      fprintf (stderr, "bitexact_log2tan failed\n");
      ret = 1;
   }
}

#ifndef FIXED_POINT
void testlog2(void)
{
   float x;
   for (x=0.001;x<1677700.0;x+=(x/8.0))
   {
      float error = fabs((1.442695040888963387*log(x))-celt_log2(x));
      if (error>0.0009)
      {
         fprintf (stderr, "celt_log2 failed: fabs((1.442695040888963387*log(x))-celt_log2(x))>0.001 (x = %f, error = %f)\n", x,error);
         ret = 1;
      }
   }
}

void testexp2(void)
{
   float x;
   for (x=-11.0;x<24.0;x+=0.0007)
   {
      float error = fabs(x-(1.442695040888963387*log(celt_exp2(x))));
      if (error>0.0002)
      {
         fprintf (stderr, "celt_exp2 failed: fabs(x-(1.442695040888963387*log(celt_exp2(x))))>0.0005 (x = %f, error = %f)\n", x,error);
         ret = 1;
      }
   }
}

void testexp2log2(void)
{
   float x;
   for (x=-11.0;x<24.0;x+=0.0007)
   {
      float error = fabs(x-(celt_log2(celt_exp2(x))));
      if (error>0.001)
      {
         fprintf (stderr, "celt_log2/celt_exp2 failed: fabs(x-(celt_log2(celt_exp2(x))))>0.001 (x = %f, error = %f)\n", x,error);
         ret = 1;
      }
   }
}
#else
void testlog2(void)
{
   opus_val32 x;
   for (x=8;x<1073741824;x+=(x>>3))
   {
      float error = fabs((1.442695040888963387*log(x/16384.0))-celt_log2(x)/1024.0);
      if (error>0.003)
      {
         fprintf (stderr, "celt_log2 failed: x = %ld, error = %f\n", (long)x,error);
         ret = 1;
      }
   }
}

void testexp2(void)
{
   opus_val16 x;
   for (x=-32768;x<15360;x++)
   {
      float error1 = fabs(x/1024.0-(1.442695040888963387*log(celt_exp2(x)/65536.0)));
      float error2 = fabs(exp(0.6931471805599453094*x/1024.0)-celt_exp2(x)/65536.0);
      if (error1>0.0002&&error2>0.00004)
      {
         fprintf (stderr, "celt_exp2 failed: x = "WORD", error1 = %f, error2 = %f\n", x,error1,error2);
         ret = 1;
      }
   }
}

void testexp2log2(void)
{
   opus_val32 x;
   for (x=8;x<65536;x+=(x>>3))
   {
      float error = fabs(x-0.25*celt_exp2(celt_log2(x)))/16384;
      if (error>0.004)
      {
         fprintf (stderr, "celt_log2/celt_exp2 failed: fabs(x-(celt_exp2(celt_log2(x))))>0.001 (x = %ld, error = %f)\n", (long)x,error);
         ret = 1;
      }
   }
}

void testilog2(void)
{
   opus_val32 x;
   for (x=1;x<=268435455;x+=127)
   {
      opus_val32 lg;
      opus_val32 y;

      lg = celt_ilog2(x);
      if (lg<0 || lg>=31)
      {
         printf("celt_ilog2 failed: 0<=celt_ilog2(x)<31 (x = %d, celt_ilog2(x) = %d)\n",x,lg);
         ret = 1;
      }
      y = 1<<lg;

      if (x<y || (x>>1)>=y)
      {
         printf("celt_ilog2 failed: 2**celt_ilog2(x)<=x<2**(celt_ilog2(x)+1) (x = %d, 2**celt_ilog2(x) = %d)\n",x,y);
         ret = 1;
      }
   }
}
#endif

int main(void)
{
   testbitexactcos();
   testbitexactlog2tan();
   testdiv();
   testsqrt();
   testlog2();
   testexp2();
   testexp2log2();
#ifdef FIXED_POINT
   testilog2();
#endif
   return ret;
}