/*
* LIBOIL - Library of Optimized Inner Loops
* Copyright (c) 2003 David A. Schleef <ds@schleef.org>
* 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.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 AUTHOR 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.
*/
//Portions Copyright (c) 2008-2009 Nokia Corporation and/or its subsidiary(-ies). All rights reserved.
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#include <liboil/liboilfunction.h>
#include "liboil/dct/dct.h"
#include <math.h>
/**
* oil_fdct8_f64:
* @d_8:
* @s_8:
* @dstr:
* @sstr:
*
* Performs a Forward Discrete Cosine Transform on @s_8 and places
* the result in @d_8.
*/
OIL_DEFINE_CLASS (fdct8_f64, "double *d_8, double *s_8, int dstr, int sstr");
#define C0_9808 0.980785280
#define C0_9239 0.923879532
#define C0_8315 0.831469612
#define C0_7071 0.707106781
#define C0_5556 0.555570233
#define C0_3827 0.382683432
#define C0_1951 0.195090322
static void
fdct8_f64_ref (double *dest, const double *src, int dstr, int sstr)
{
static double fdct_coeff[8][8];
static int fdct_coeff_init = 0;
int i,j;
double x;
if(!fdct_coeff_init){
double scale;
for(i=0;i<8;i++){
scale = (i==0) ? sqrt(0.125) : 0.5;
for(j=0;j<8;j++){
fdct_coeff[j][i] = scale *
cos((M_PI/8)*i*(j+0.5));
}
}
fdct_coeff_init = 1;
}
for(i=0;i<8;i++){
x = 0;
for(j=0;j<8;j++){
x += fdct_coeff[j][i] * OIL_GET(src,sstr*j, double);
}
OIL_GET(dest,dstr*i, double) = x;
}
}
OIL_DEFINE_IMPL_REF (fdct8_f64_ref, fdct8_f64);
/*
* This algorithm is roughly similar to a Fast-Fourier transform,
* taking advantage of the symmeties of the base vectors. For
* reference, the base vectors are (horizontally):
*
* 0: 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
* 1: 0.9808 0.8315 0.5556 0.1951 -0.1951 -0.5556 -0.8315 -0.9808
* 2: 0.9239 0.3827 -0.3827 -0.9239 -0.9239 -0.3827 0.3827 0.9239
* 3: 0.8315 -0.1951 -0.9808 -0.5556 0.5556 0.9808 0.1951 -0.8315
* 4: 0.7071 -0.7071 -0.7071 0.7071 0.7071 -0.7071 -0.7071 0.7071
* 5: 0.5556 -0.9808 0.1951 0.8315 -0.8315 -0.1951 0.9808 -0.5556
* 6: 0.3827 -0.9239 0.9239 -0.3827 -0.3827 0.9239 -0.9239 0.3827
* 7: 0.1951 -0.5556 0.8315 -0.9808 0.9808 -0.8315 0.5556 -0.1951
*
* The symmetries of note:
* - even vectors are symmetric around 4 (the middle)
* - odd vectors are antisymmetric around 4
* - 0,4 are symmertic around 2 and 6
* - 2,6 are antisymmetic around 2 and 6
*
* f0 = (x0 + x7) + (x1 + x6) + (x2 + x5) + (x3 + x4);
* f1 = 0.9808*(x0 - x7) + 0.8315*(x1 - x6) + 0.5556*(x2 - x5) + 0.1951*(x3 - x4)
* f2 = 0.9239*(x0 + x7) + 0.3827*(x1 + x6) - 0.3827*(x2 + x5) - 0.9239*(x3 + x4)
* f3 = 0.8315*(x0 - x7) - 0.1951*(x1 - x6) - 0.9808*(x2 - x5) - 0.5556*(x3 - x4)
* f4 = 0.7071*((x0 + x7) - (x1 + x6) - (x2 + x5) + (x3 + x4))
* f5 = 0.5556*(x0 - x7) - 0.9808*(x1 - x6) + 0.1951*(x2 - x5) + 0.8315*(x3 - x4)
* f6 = 0.3827*(x0 + x7) - 0.9239*(x1 + x6) + 0.9239*(x2 + x5) - 0.3827*(x3 + x4)
* f7 = 0.1951*(x0 - x7) - 0.5556*(x1 - x6) + 0.8315*(x2 - x5) - 0.9808*(x3 - x4)
*
* The even vectors can be further simplified:
*
* f0 = ((x0 + x7) + (x3 + x4)) + ((x1 + x6) + (x2 + x5));
* f2 = 0.9239*((x0 + x7) - (x3 + x4)) + 0.3827*((x1 + x6) - (x2 + x5))
* f4 = 0.7071*((x0 + x7) + (x3 + x4)) - 0.7071*((x1 + x6) + (x2 + x5))
* f6 = 0.3827*((x0 + x7) - (x3 + x4)) - 0.9239*((x1 + x6) - (x2 + x5))
*
* Some implementations move some of the normalization to a later
* stage of processing, saving a few multiplies which get absorbed
* into later multiplies. However, this incurs a bit of error in
* the integer versions of this function. Also, if the CPU has a
* multiply-and-add function, you don't gain anything.
*/
static void
fdct8_f64_fast(double *dest, const double *src, int dstr, int sstr)
{
double s07, s16, s25, s34;
double d07, d16, d25, d34;
double ss07s34, ds07s34, ss16s25, ds16s25;
s07 = OIL_GET(src,sstr*0,double) + OIL_GET(src,sstr*7,double);
d07 = OIL_GET(src,sstr*0,double) - OIL_GET(src,sstr*7,double);
s16 = OIL_GET(src,sstr*1,double) + OIL_GET(src,sstr*6,double);
d16 = OIL_GET(src,sstr*1,double) - OIL_GET(src,sstr*6,double);
s25 = OIL_GET(src,sstr*2,double) + OIL_GET(src,sstr*5,double);
d25 = OIL_GET(src,sstr*2,double) - OIL_GET(src,sstr*5,double);
s34 = OIL_GET(src,sstr*3,double) + OIL_GET(src,sstr*4,double);
d34 = OIL_GET(src,sstr*3,double) - OIL_GET(src,sstr*4,double);
ss07s34 = s07 + s34;
ds07s34 = s07 - s34;
ss16s25 = s16 + s25;
ds16s25 = s16 - s25;
OIL_GET(dest,dstr*0,double) = 0.5*C0_7071*(ss07s34 + ss16s25);
OIL_GET(dest,dstr*2,double) = 0.5*(C0_9239*ds07s34 + C0_3827*ds16s25);
OIL_GET(dest,dstr*4,double) = 0.5*C0_7071*(ss07s34 - ss16s25);
OIL_GET(dest,dstr*6,double) = 0.5*(C0_3827*ds07s34 - C0_9239*ds16s25);
OIL_GET(dest,dstr*1,double) = 0.5*(C0_9808*d07 + C0_8315*d16
+ C0_5556*d25 + C0_1951*d34);
OIL_GET(dest,dstr*3,double) = 0.5*(C0_8315*d07 - C0_1951*d16
- C0_9808*d25 - C0_5556*d34);
OIL_GET(dest,dstr*5,double) = 0.5*(C0_5556*d07 - C0_9808*d16
+ C0_1951*d25 + C0_8315*d34);
OIL_GET(dest,dstr*7,double) = 0.5*(C0_1951*d07 - C0_5556*d16
+ C0_8315*d25 - C0_9808*d34);
#if 0
z1 = (ds1 tmp12 + tmp13) * 0.707106781;
OIL_GET(dest,dstr*2,double) = (tmp13 + z1)*(0.25*M_SQRT2)*0.765366864;
OIL_GET(dest,dstr*6,double) = (tmp13 - z1)*(0.25*M_SQRT2)*1.847759066;
tmp10 = tmp4 + tmp5;
tmp11 = tmp5 + tmp6;
tmp12 = tmp6 + tmp7;
z5 = (tmp10 - tmp12) * 0.382683433;
z2 = 0.541196100 * tmp10 + z5;
z4 = 1.306562965 * tmp12 + z5;
z3 = tmp11 * 0.707106781;
z11 = tmp7 + z3;
z13 = tmp7 - z3;
OIL_GET(dest,dstr*5,double) = (z13 + z2)*(0.25*M_SQRT2)*1.2728;
OIL_GET(dest,dstr*3,double) = (z13 - z2)*(0.25*M_SQRT2)*0.8504;
OIL_GET(dest,dstr*1,double) = (z11 + z4)*(0.25*M_SQRT2)*0.7209;
OIL_GET(dest,dstr*7,double) = (z11 - z4)*(0.25*M_SQRT2)*3.6245;
#endif
}
OIL_DEFINE_IMPL (fdct8_f64_fast, fdct8_f64);
#ifdef __SYMBIAN32__
OilFunctionClass* __oil_function_class_fdct8_f64() {
return &_oil_function_class_fdct8_f64;
}
#endif
#ifdef __SYMBIAN32__
OilFunctionImpl* __oil_function_impl_fdct8_f64_ref() {
return &_oil_function_impl_fdct8_f64_ref;
}
#endif
#ifdef __SYMBIAN32__
OilFunctionImpl* __oil_function_impl_fdct8_f64_fast() {
return &_oil_function_impl_fdct8_f64_fast;
}
#endif
#ifdef __SYMBIAN32__
EXPORT_C void** _oil_function_class_ptr_fdct8_f64 () {
oil_function_class_ptr_fdct8_f64 = __oil_function_class_fdct8_f64();
return &oil_function_class_ptr_fdct8_f64->func;
}
#endif