/*

  * 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