author | Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com> |
Fri, 16 Apr 2010 16:46:38 +0300 | |
changeset 18 | 47c74d1534e1 |
permissions | -rw-r--r-- |
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/* |
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* LIBOIL - Library of Optimized Inner Loops |
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* Copyright (c) 2003 David A. Schleef <ds@schleef.org> |
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* All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the distribution. |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED |
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* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, |
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* INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES |
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* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR |
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, |
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING |
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* IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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* POSSIBILITY OF SUCH DAMAGE. |
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*/ |
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//Portions Copyright (c) 2008-2009 Nokia Corporation and/or its subsidiary(-ies). All rights reserved. |
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|
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#ifdef HAVE_CONFIG_H |
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#include "config.h" |
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#endif |
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|
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#include <liboil/liboilfunction.h> |
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#include "liboil/dct/dct.h" |
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#include <math.h> |
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|
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/** |
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* oil_fdct8_f64: |
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* @d_8: |
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* @s_8: |
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* @dstr: |
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* @sstr: |
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* |
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* Performs a Forward Discrete Cosine Transform on @s_8 and places |
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* the result in @d_8. |
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*/ |
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OIL_DEFINE_CLASS (fdct8_f64, "double *d_8, double *s_8, int dstr, int sstr"); |
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|
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#define C0_9808 0.980785280 |
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#define C0_9239 0.923879532 |
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#define C0_8315 0.831469612 |
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#define C0_7071 0.707106781 |
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#define C0_5556 0.555570233 |
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#define C0_3827 0.382683432 |
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#define C0_1951 0.195090322 |
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|
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static void |
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fdct8_f64_ref (double *dest, const double *src, int dstr, int sstr) |
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{ |
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static double fdct_coeff[8][8]; |
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static int fdct_coeff_init = 0; |
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int i,j; |
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double x; |
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|
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if(!fdct_coeff_init){ |
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double scale; |
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|
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for(i=0;i<8;i++){ |
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scale = (i==0) ? sqrt(0.125) : 0.5; |
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for(j=0;j<8;j++){ |
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fdct_coeff[j][i] = scale * |
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cos((M_PI/8)*i*(j+0.5)); |
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} |
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} |
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fdct_coeff_init = 1; |
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} |
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|
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for(i=0;i<8;i++){ |
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x = 0; |
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for(j=0;j<8;j++){ |
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x += fdct_coeff[j][i] * OIL_GET(src,sstr*j, double); |
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} |
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OIL_GET(dest,dstr*i, double) = x; |
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} |
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} |
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|
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OIL_DEFINE_IMPL_REF (fdct8_f64_ref, fdct8_f64); |
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|
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/* |
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* This algorithm is roughly similar to a Fast-Fourier transform, |
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* taking advantage of the symmeties of the base vectors. For |
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* reference, the base vectors are (horizontally): |
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* |
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* 0: 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 |
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* 1: 0.9808 0.8315 0.5556 0.1951 -0.1951 -0.5556 -0.8315 -0.9808 |
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* 2: 0.9239 0.3827 -0.3827 -0.9239 -0.9239 -0.3827 0.3827 0.9239 |
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* 3: 0.8315 -0.1951 -0.9808 -0.5556 0.5556 0.9808 0.1951 -0.8315 |
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* 4: 0.7071 -0.7071 -0.7071 0.7071 0.7071 -0.7071 -0.7071 0.7071 |
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* 5: 0.5556 -0.9808 0.1951 0.8315 -0.8315 -0.1951 0.9808 -0.5556 |
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* 6: 0.3827 -0.9239 0.9239 -0.3827 -0.3827 0.9239 -0.9239 0.3827 |
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* 7: 0.1951 -0.5556 0.8315 -0.9808 0.9808 -0.8315 0.5556 -0.1951 |
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102 |
* |
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* The symmetries of note: |
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* - even vectors are symmetric around 4 (the middle) |
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* - odd vectors are antisymmetric around 4 |
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* - 0,4 are symmertic around 2 and 6 |
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* - 2,6 are antisymmetic around 2 and 6 |
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108 |
* |
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* f0 = (x0 + x7) + (x1 + x6) + (x2 + x5) + (x3 + x4); |
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* f1 = 0.9808*(x0 - x7) + 0.8315*(x1 - x6) + 0.5556*(x2 - x5) + 0.1951*(x3 - x4) |
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* f2 = 0.9239*(x0 + x7) + 0.3827*(x1 + x6) - 0.3827*(x2 + x5) - 0.9239*(x3 + x4) |
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* f3 = 0.8315*(x0 - x7) - 0.1951*(x1 - x6) - 0.9808*(x2 - x5) - 0.5556*(x3 - x4) |
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* f4 = 0.7071*((x0 + x7) - (x1 + x6) - (x2 + x5) + (x3 + x4)) |
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* f5 = 0.5556*(x0 - x7) - 0.9808*(x1 - x6) + 0.1951*(x2 - x5) + 0.8315*(x3 - x4) |
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* f6 = 0.3827*(x0 + x7) - 0.9239*(x1 + x6) + 0.9239*(x2 + x5) - 0.3827*(x3 + x4) |
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* f7 = 0.1951*(x0 - x7) - 0.5556*(x1 - x6) + 0.8315*(x2 - x5) - 0.9808*(x3 - x4) |
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* |
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* The even vectors can be further simplified: |
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* |
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* f0 = ((x0 + x7) + (x3 + x4)) + ((x1 + x6) + (x2 + x5)); |
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* f2 = 0.9239*((x0 + x7) - (x3 + x4)) + 0.3827*((x1 + x6) - (x2 + x5)) |
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* f4 = 0.7071*((x0 + x7) + (x3 + x4)) - 0.7071*((x1 + x6) + (x2 + x5)) |
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* f6 = 0.3827*((x0 + x7) - (x3 + x4)) - 0.9239*((x1 + x6) - (x2 + x5)) |
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* |
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* Some implementations move some of the normalization to a later |
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* stage of processing, saving a few multiplies which get absorbed |
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* into later multiplies. However, this incurs a bit of error in |
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* the integer versions of this function. Also, if the CPU has a |
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* multiply-and-add function, you don't gain anything. |
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*/ |
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131 |
|
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132 |
static void |
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fdct8_f64_fast(double *dest, const double *src, int dstr, int sstr) |
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134 |
{ |
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double s07, s16, s25, s34; |
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double d07, d16, d25, d34; |
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double ss07s34, ds07s34, ss16s25, ds16s25; |
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138 |
|
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s07 = OIL_GET(src,sstr*0,double) + OIL_GET(src,sstr*7,double); |
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d07 = OIL_GET(src,sstr*0,double) - OIL_GET(src,sstr*7,double); |
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s16 = OIL_GET(src,sstr*1,double) + OIL_GET(src,sstr*6,double); |
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d16 = OIL_GET(src,sstr*1,double) - OIL_GET(src,sstr*6,double); |
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s25 = OIL_GET(src,sstr*2,double) + OIL_GET(src,sstr*5,double); |
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d25 = OIL_GET(src,sstr*2,double) - OIL_GET(src,sstr*5,double); |
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s34 = OIL_GET(src,sstr*3,double) + OIL_GET(src,sstr*4,double); |
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d34 = OIL_GET(src,sstr*3,double) - OIL_GET(src,sstr*4,double); |
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147 |
|
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ss07s34 = s07 + s34; |
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ds07s34 = s07 - s34; |
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ss16s25 = s16 + s25; |
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ds16s25 = s16 - s25; |
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152 |
|
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OIL_GET(dest,dstr*0,double) = 0.5*C0_7071*(ss07s34 + ss16s25); |
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OIL_GET(dest,dstr*2,double) = 0.5*(C0_9239*ds07s34 + C0_3827*ds16s25); |
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OIL_GET(dest,dstr*4,double) = 0.5*C0_7071*(ss07s34 - ss16s25); |
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OIL_GET(dest,dstr*6,double) = 0.5*(C0_3827*ds07s34 - C0_9239*ds16s25); |
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157 |
|
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OIL_GET(dest,dstr*1,double) = 0.5*(C0_9808*d07 + C0_8315*d16 |
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+ C0_5556*d25 + C0_1951*d34); |
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OIL_GET(dest,dstr*3,double) = 0.5*(C0_8315*d07 - C0_1951*d16 |
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- C0_9808*d25 - C0_5556*d34); |
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OIL_GET(dest,dstr*5,double) = 0.5*(C0_5556*d07 - C0_9808*d16 |
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+ C0_1951*d25 + C0_8315*d34); |
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OIL_GET(dest,dstr*7,double) = 0.5*(C0_1951*d07 - C0_5556*d16 |
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+ C0_8315*d25 - C0_9808*d34); |
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166 |
|
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#if 0 |
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z1 = (ds1 tmp12 + tmp13) * 0.707106781; |
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OIL_GET(dest,dstr*2,double) = (tmp13 + z1)*(0.25*M_SQRT2)*0.765366864; |
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OIL_GET(dest,dstr*6,double) = (tmp13 - z1)*(0.25*M_SQRT2)*1.847759066; |
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171 |
|
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tmp10 = tmp4 + tmp5; |
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tmp11 = tmp5 + tmp6; |
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tmp12 = tmp6 + tmp7; |
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175 |
|
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z5 = (tmp10 - tmp12) * 0.382683433; |
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z2 = 0.541196100 * tmp10 + z5; |
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z4 = 1.306562965 * tmp12 + z5; |
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z3 = tmp11 * 0.707106781; |
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180 |
|
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z11 = tmp7 + z3; |
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z13 = tmp7 - z3; |
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183 |
|
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OIL_GET(dest,dstr*5,double) = (z13 + z2)*(0.25*M_SQRT2)*1.2728; |
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OIL_GET(dest,dstr*3,double) = (z13 - z2)*(0.25*M_SQRT2)*0.8504; |
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OIL_GET(dest,dstr*1,double) = (z11 + z4)*(0.25*M_SQRT2)*0.7209; |
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OIL_GET(dest,dstr*7,double) = (z11 - z4)*(0.25*M_SQRT2)*3.6245; |
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#endif |
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} |
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OIL_DEFINE_IMPL (fdct8_f64_fast, fdct8_f64); |
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#ifdef __SYMBIAN32__ |
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OilFunctionClass* __oil_function_class_fdct8_f64() { |
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return &_oil_function_class_fdct8_f64; |
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} |
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#endif |
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OilFunctionImpl* __oil_function_impl_fdct8_f64_ref() { |
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return &_oil_function_impl_fdct8_f64_ref; |
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} |
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#endif |
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#ifdef __SYMBIAN32__ |
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OilFunctionImpl* __oil_function_impl_fdct8_f64_fast() { |
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return &_oil_function_impl_fdct8_f64_fast; |
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} |
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#endif |
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#ifdef __SYMBIAN32__ |
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EXPORT_C void** _oil_function_class_ptr_fdct8_f64 () { |
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oil_function_class_ptr_fdct8_f64 = __oil_function_class_fdct8_f64(); |
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return &oil_function_class_ptr_fdct8_f64->func; |
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} |
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#endif |
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