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authorMonty <xiphmont@xiph.org>2002-09-02 22:13:55 +0000
committerMonty <xiphmont@xiph.org>2002-09-02 22:13:55 +0000
commit56fbebdcf71ea7c8e64cb18ac3a78e5834134fa3 (patch)
tree55b767ac2280049dd1d7cc8d36cb7589987d92eb /mdct.c
downloadtremor-56fbebdcf71ea7c8e64cb18ac3a78e5834134fa3.tar.gz
Put root level of Tremor in CVS
git-svn-id: https://svn.xiph.org/trunk/Tremor@3890 0101bb08-14d6-0310-b084-bc0e0c8e3800
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+/********************************************************************
+ * *
+ * THIS FILE IS PART OF THE OggVorbis 'TREMOR' CODEC SOURCE CODE. *
+ * *
+ * THE OggVorbis 'TREMOR' SOURCE CODE IS (C) COPYRIGHT 1994-2002 *
+ * BY THE Xiph.Org FOUNDATION http://www.xiph.org/ *
+ * ALL REDISTRIBUTION RIGHTS RESERVED. *
+ * *
+ ********************************************************************
+
+ function: normalized modified discrete cosine transform
+ power of two length transform only [64 <= n ]
+ last mod: $Id: mdct.c,v 1.1 2002/09/02 22:13:55 xiphmont Exp $
+
+ Original algorithm adapted long ago from _The use of multirate filter
+ banks for coding of high quality digital audio_, by T. Sporer,
+ K. Brandenburg and B. Edler, collection of the European Signal
+ Processing Conference (EUSIPCO), Amsterdam, June 1992, Vol.1, pp
+ 211-214
+
+ The below code implements an algorithm that no longer looks much like
+ that presented in the paper, but the basic structure remains if you
+ dig deep enough to see it.
+
+ This module DOES NOT INCLUDE code to generate/apply the window
+ function. Everybody has their own weird favorite including me... I
+ happen to like the properties of y=sin(2PI*sin^2(x)), but others may
+ vehemently disagree.
+
+ ********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <math.h>
+#include "ivorbiscodec.h"
+#include "os.h"
+#include "mdct.h"
+#include "mdct_lookup.h"
+#include "misc.h"
+
+typedef struct {
+ int n;
+ int log2n;
+
+ DATA_TYPE *trig;
+ ogg_int16_t *bitrev;
+
+ DATA_TYPE scale;
+} mdct_lookup;
+
+
+static void mdct_init(mdct_lookup *lookup,int n){
+ lookup->n=n;
+ switch(n){
+ case 64:
+ lookup->log2n=6;
+ lookup->trig=triglook_64;
+ lookup->bitrev=bitrevlook_64;
+ lookup->scale=0x04000000;
+ break;
+ case 128:
+ lookup->log2n=7;
+ lookup->trig=triglook_128;
+ lookup->bitrev=bitrevlook_128;
+ lookup->scale=0x02000000;
+ break;
+ case 256:
+ lookup->log2n=8;
+ lookup->trig=triglook_256;
+ lookup->bitrev=bitrevlook_256;
+ lookup->scale=0x01000000;
+ break;
+ case 512:
+ lookup->log2n=9;
+ lookup->trig=triglook_512;
+ lookup->bitrev=bitrevlook_512;
+ lookup->scale=0x00800000;
+ break;
+ case 1024:
+ lookup->log2n=10;
+ lookup->trig=triglook_1024;
+ lookup->bitrev=bitrevlook_1024;
+ lookup->scale=0x00400000;
+ break;
+ case 2048:
+ lookup->log2n=11;
+ lookup->trig=triglook_2048;
+ lookup->bitrev=bitrevlook_2048;
+ lookup->scale=0x00200000;
+ break;
+ case 4096:
+ lookup->log2n=12;
+ lookup->trig=triglook_4096;
+ lookup->bitrev=bitrevlook_4096;
+ lookup->scale=0x00100000;
+ break;
+ case 8192:
+ lookup->log2n=13;
+ lookup->trig=triglook_8192;
+ lookup->bitrev=bitrevlook_8192;
+ lookup->scale=0x00080000;
+ break;
+ default:
+ /* die horribly */
+ memset(lookup,0,sizeof(*lookup));
+ }
+}
+
+/* 8 point butterfly (in place, 4 register) */
+STIN void mdct_butterfly_8(DATA_TYPE *x){
+ REG_TYPE r0 = x[6] + x[2];
+ REG_TYPE r1 = x[6] - x[2];
+ REG_TYPE r2 = x[4] + x[0];
+ REG_TYPE r3 = x[4] - x[0];
+
+ x[6] = r0 + r2;
+ x[4] = r0 - r2;
+
+ r0 = x[5] - x[1];
+ r2 = x[7] - x[3];
+ x[0] = r1 + r0;
+ x[2] = r1 - r0;
+
+ r0 = x[5] + x[1];
+ r1 = x[7] + x[3];
+ x[3] = r2 + r3;
+ x[1] = r2 - r3;
+ x[7] = r1 + r0;
+ x[5] = r1 - r0;
+
+}
+
+/* 16 point butterfly (in place, 4 register) */
+STIN void mdct_butterfly_16(DATA_TYPE *x){
+ REG_TYPE r0 = x[1] - x[9];
+ REG_TYPE r1 = x[0] - x[8];
+
+ x[8] += x[0];
+ x[9] += x[1];
+ x[0] = MULT31((r0 + r1) , cPI2_8);
+ x[1] = MULT31((r0 - r1) , cPI2_8);
+
+ r0 = x[3] - x[11];
+ r1 = x[10] - x[2];
+ x[10] += x[2];
+ x[11] += x[3];
+ x[2] = r0;
+ x[3] = r1;
+
+ r0 = x[12] - x[4];
+ r1 = x[13] - x[5];
+ x[12] += x[4];
+ x[13] += x[5];
+ x[4] = MULT31((r0 - r1) , cPI2_8);
+ x[5] = MULT31((r0 + r1) , cPI2_8);
+
+ r0 = x[14] - x[6];
+ r1 = x[15] - x[7];
+ x[14] += x[6];
+ x[15] += x[7];
+ x[6] = r0;
+ x[7] = r1;
+
+ mdct_butterfly_8(x);
+ mdct_butterfly_8(x+8);
+}
+
+/* 32 point butterfly (in place, 4 register) */
+STIN void mdct_butterfly_32(DATA_TYPE *x){
+ REG_TYPE r0 = x[30] - x[14];
+ REG_TYPE r1 = x[31] - x[15];
+
+ x[30] += x[14];
+ x[31] += x[15];
+ x[14] = r0;
+ x[15] = r1;
+
+ r0 = x[28] - x[12];
+ r1 = x[29] - x[13];
+ x[28] += x[12];
+ x[29] += x[13];
+ x[12] = MULT31( r0 , cPI1_8 ) - MULT31( r1 , cPI3_8 );
+ x[13] = MULT31( r0 , cPI3_8 ) + MULT31( r1 , cPI1_8 );
+
+ r0 = x[26] - x[10];
+ r1 = x[27] - x[11];
+ x[26] += x[10];
+ x[27] += x[11];
+ x[10] = MULT31(( r0 - r1 ) , cPI2_8);
+ x[11] = MULT31(( r0 + r1 ) , cPI2_8);
+
+ r0 = x[24] - x[8];
+ r1 = x[25] - x[9];
+ x[24] += x[8];
+ x[25] += x[9];
+ x[8] = MULT31( r0 , cPI3_8 ) - MULT31( r1 , cPI1_8 );
+ x[9] = MULT31( r1 , cPI3_8 ) + MULT31( r0 , cPI1_8 );
+
+ r0 = x[22] - x[6];
+ r1 = x[7] - x[23];
+ x[22] += x[6];
+ x[23] += x[7];
+ x[6] = r1;
+ x[7] = r0;
+
+ r0 = x[4] - x[20];
+ r1 = x[5] - x[21];
+ x[20] += x[4];
+ x[21] += x[5];
+ x[4] = MULT31( r1 , cPI1_8 ) + MULT31( r0 , cPI3_8 );
+ x[5] = MULT31( r1 , cPI3_8 ) - MULT31( r0 , cPI1_8 );
+
+ r0 = x[2] - x[18];
+ r1 = x[3] - x[19];
+ x[18] += x[2];
+ x[19] += x[3];
+ x[2] = MULT31(( r1 + r0 ) , cPI2_8);
+ x[3] = MULT31(( r1 - r0 ) , cPI2_8);
+
+ r0 = x[0] - x[16];
+ r1 = x[1] - x[17];
+ x[16] += x[0];
+ x[17] += x[1];
+ x[0] = MULT31( r1 , cPI3_8 ) + MULT31( r0 , cPI1_8 );
+ x[1] = MULT31( r1 , cPI1_8 ) - MULT31( r0 , cPI3_8 );
+
+ mdct_butterfly_16(x);
+ mdct_butterfly_16(x+16);
+
+}
+
+/* N point first stage butterfly (in place, 2 register) */
+STIN void mdct_butterfly_first(DATA_TYPE *T,
+ DATA_TYPE *x,
+ int points){
+
+ DATA_TYPE *x1 = x + points - 8;
+ DATA_TYPE *x2 = x + (points>>1) - 8;
+ REG_TYPE r0;
+ REG_TYPE r1;
+
+ do{
+
+ r0 = x1[6] - x2[6];
+ r1 = x1[7] - x2[7];
+ x1[6] += x2[6];
+ x1[7] += x2[7];
+ x2[6] = MULT30(r1 , T[1] ) + MULT30( r0 , T[0]);
+ x2[7] = MULT30(r1 , T[0] ) - MULT30( r0 , T[1]);
+
+ r0 = x1[4] - x2[4];
+ r1 = x1[5] - x2[5];
+ x1[4] += x2[4];
+ x1[5] += x2[5];
+ x2[4] = MULT30(r1 , T[5] ) + MULT30( r0 , T[4]);
+ x2[5] = MULT30(r1 , T[4] ) - MULT30( r0 , T[5]);
+
+ r0 = x1[2] - x2[2];
+ r1 = x1[3] - x2[3];
+ x1[2] += x2[2];
+ x1[3] += x2[3];
+ x2[2] = MULT30(r1 , T[9] ) + MULT30( r0 , T[8]);
+ x2[3] = MULT30(r1 , T[8] ) - MULT30( r0 , T[9]);
+
+ r0 = x1[0] - x2[0];
+ r1 = x1[1] - x2[1];
+ x1[0] += x2[0];
+ x1[1] += x2[1];
+ x2[0] = MULT30(r1 , T[13] ) + MULT30( r0 , T[12]);
+ x2[1] = MULT30(r1 , T[12] ) - MULT30( r0 , T[13]);
+
+ x1-=8;
+ x2-=8;
+ T+=16;
+
+ }while(x2>=x);
+}
+
+/* N/stage point generic N stage butterfly (in place, 2 register) */
+STIN void mdct_butterfly_generic(DATA_TYPE *T,
+ DATA_TYPE *x,
+ int points,
+ int trigint){
+
+ DATA_TYPE *x1 = x + points - 8;
+ DATA_TYPE *x2 = x + (points>>1) - 8;
+ REG_TYPE r0;
+ REG_TYPE r1;
+
+ do{
+
+ r0 = x1[6] - x2[6];
+ r1 = x1[7] - x2[7];
+ x1[6] += x2[6];
+ x1[7] += x2[7];
+ x2[6] = MULT30(r1 , T[1] ) + MULT30 (r0 , T[0]);
+ x2[7] = MULT30(r1 , T[0] ) - MULT30( r0 , T[1]);
+
+ T+=trigint;
+
+ r0 = x1[4] - x2[4];
+ r1 = x1[5] - x2[5];
+ x1[4] += x2[4];
+ x1[5] += x2[5];
+ x2[4] = MULT30(r1 , T[1] ) + MULT30( r0 , T[0]);
+ x2[5] = MULT30(r1 , T[0] ) - MULT30( r0 , T[1]);
+
+ T+=trigint;
+
+ r0 = x1[2] - x2[2];
+ r1 = x1[3] - x2[3];
+ x1[2] += x2[2];
+ x1[3] += x2[3];
+ x2[2] = MULT30(r1 , T[1] ) + MULT30( r0 , T[0]);
+ x2[3] = MULT30(r1 , T[0] ) - MULT30( r0 , T[1]);
+
+ T+=trigint;
+
+ r0 = x1[0] - x2[0];
+ r1 = x1[1] - x2[1];
+ x1[0] += x2[0];
+ x1[1] += x2[1];
+ x2[0] = MULT30(r1 , T[1] ) + MULT30( r0 , T[0]);
+ x2[1] = MULT30(r1 , T[0] ) - MULT30( r0 , T[1]);
+
+ T+=trigint;
+ x1-=8;
+ x2-=8;
+
+ }while(x2>=x);
+}
+
+STIN void mdct_butterflies(mdct_lookup *init,
+ DATA_TYPE *x,
+ int points){
+
+ DATA_TYPE *T=init->trig;
+ int stages=init->log2n-5;
+ int i,j;
+
+ if(--stages>0){
+ mdct_butterfly_first(T,x,points);
+ }
+
+ for(i=1;--stages>0;i++){
+ for(j=0;j<(1<<i);j++)
+ mdct_butterfly_generic(T,x+(points>>i)*j,points>>i,4<<i);
+ }
+
+ for(j=0;j<points;j+=32)
+ mdct_butterfly_32(x+j);
+
+}
+
+STIN void mdct_bitreverse(mdct_lookup *init,
+ DATA_TYPE *x){
+ int n = init->n;
+ ogg_int16_t *bit = init->bitrev;
+ DATA_TYPE *w0 = x;
+ DATA_TYPE *w1 = x = w0+(n>>1);
+ DATA_TYPE *T = init->trig+n;
+
+ do{
+ DATA_TYPE *x0 = x+bit[0];
+ DATA_TYPE *x1 = x+bit[1];
+
+ REG_TYPE r0 = x0[1] - x1[1];
+ REG_TYPE r1 = x0[0] + x1[0];
+ REG_TYPE r2 = MULT30(r1 , T[0] ) + MULT30(r0 , T[1]);
+ REG_TYPE r3 = MULT30(r1 , T[1] ) - MULT30(r0 , T[0]);
+
+ w1 -= 4;
+
+ r0 = (x0[1] + x1[1])/2;
+ r1 = (x0[0] - x1[0])/2;
+
+ w0[0] = r0 + r2;
+ w1[2] = r0 - r2;
+ w0[1] = r1 + r3;
+ w1[3] = r3 - r1;
+
+ x0 = x+bit[2];
+ x1 = x+bit[3];
+
+ r0 = x0[1] - x1[1];
+ r1 = x0[0] + x1[0];
+ r2 = MULT30(r1 , T[2] ) + MULT30(r0 , T[3]);
+ r3 = MULT30(r1 , T[3] ) - MULT30(r0 , T[2]);
+
+ r0 = (x0[1] + x1[1])/2;
+ r1 = (x0[0] - x1[0])/2;
+
+ w0[2] = r0 + r2;
+ w1[0] = r0 - r2;
+ w0[3] = r1 + r3;
+ w1[1] = r3 - r1;
+
+ T += 4;
+ bit += 4;
+ w0 += 4;
+
+ }while(w0<w1);
+}
+
+void mdct_backward(int n, DATA_TYPE *in, DATA_TYPE *out){
+ int n2=n>>1;
+ int n4=n>>2;
+ mdct_lookup init;
+ DATA_TYPE *iX;
+ DATA_TYPE *oX;
+ DATA_TYPE *T;
+
+ mdct_init(&init,n);
+
+ /* rotate */
+
+ iX = in+n2-7;
+ oX = out+n2+n4;
+ T = init.trig+n4;
+
+ do{
+ oX -= 4;
+ oX[0] = MULT30(-iX[2] , T[3]) - MULT30(iX[0] , T[2]);
+ oX[1] = MULT30 (iX[0] , T[3]) - MULT30(iX[2] , T[2]);
+ oX[2] = MULT30(-iX[6] , T[1]) - MULT30(iX[4] , T[0]);
+ oX[3] = MULT30 (iX[4] , T[1]) - MULT30(iX[6] , T[0]);
+ iX -= 8;
+ T += 4;
+ }while(iX>=in);
+
+ iX = in+n2-8;
+ oX = out+n2+n4;
+ T = init.trig+n4;
+
+ do{
+ T -= 4;
+ oX[0] = MULT30 (iX[4] , T[3]) + MULT30(iX[6] , T[2]);
+ oX[1] = MULT30 (iX[4] , T[2]) - MULT30(iX[6] , T[3]);
+ oX[2] = MULT30 (iX[0] , T[1]) + MULT30(iX[2] , T[0]);
+ oX[3] = MULT30 (iX[0] , T[0]) - MULT30(iX[2] , T[1]);
+ iX -= 8;
+ oX += 4;
+ }while(iX>=in);
+
+ mdct_butterflies(&init,out+n2,n2);
+ mdct_bitreverse(&init,out);
+
+ /* roatate + window */
+
+ {
+ DATA_TYPE *oX1=out+n2+n4;
+ DATA_TYPE *oX2=out+n2+n4;
+ DATA_TYPE *iX =out;
+ T =init.trig+n2;
+
+ do{
+ oX1-=4;
+
+ oX1[3] = MULT30 (iX[0] , T[1]) - MULT30(iX[1] , T[0]);
+ oX2[0] =-(MULT30 (iX[0] , T[0]) + MULT30(iX[1] , T[1]));
+
+ oX1[2] = MULT30 (iX[2] , T[3]) - MULT30(iX[3] , T[2]);
+ oX2[1] =-(MULT30 (iX[2] , T[2]) + MULT30(iX[3] , T[3]));
+
+ oX1[1] = MULT30 (iX[4] , T[5]) - MULT30(iX[5] , T[4]);
+ oX2[2] =-(MULT30 (iX[4] , T[4]) + MULT30(iX[5] , T[5]));
+
+ oX1[0] = MULT30 (iX[6] , T[7]) - MULT30(iX[7] , T[6]);
+ oX2[3] =-(MULT30 (iX[6] , T[6]) + MULT30(iX[7] , T[7]));
+
+ oX2+=4;
+ iX += 8;
+ T += 8;
+ }while(iX<oX1);
+
+ iX=out+n2+n4;
+ oX1=out+n4;
+ oX2=oX1;
+
+ do{
+ oX1-=4;
+ iX-=4;
+
+ oX2[0] = -(oX1[3] = iX[3]);
+ oX2[1] = -(oX1[2] = iX[2]);
+ oX2[2] = -(oX1[1] = iX[1]);
+ oX2[3] = -(oX1[0] = iX[0]);
+
+ oX2+=4;
+ }while(oX2<iX);
+
+ iX=out+n2+n4;
+ oX1=out+n2+n4;
+ oX2=out+n2;
+ do{
+ oX1-=4;
+ oX1[0]= iX[3];
+ oX1[1]= iX[2];
+ oX1[2]= iX[1];
+ oX1[3]= iX[0];
+ iX+=4;
+ }while(oX1>oX2);
+ }
+}