--- a/kerneltest/e32utils/nistsecurerng/src/dfft.cpp Tue Aug 31 16:34:26 2010 +0300
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,1399 +0,0 @@
-/*
-* Portions Copyright (c) 2009 Nokia Corporation and/or its subsidiary(-ies).
-* All rights reserved.
-* This component and the accompanying materials are made available
-* under the terms of "Eclipse Public License v1.0"
-* which accompanies this distribution, and is available
-* at the URL "http://www.eclipse.org/legal/epl-v10.html".
-*
-* Initial Contributors:
-* Nokia Corporation - initial contribution.
-*
-* Contributors:
-*
-* Description:
-* The original of this file was released into the public domain, see below for details
-*/
-
-
-/* Notes from RFB:
-
- Looks like the user-level routines are:
-
- Real FFT
-
- void __ogg_fdrffti(int n, double *wsave, int *ifac)
- void __ogg_fdrfftf(int n,double *r,double *wsave,int *ifac)
- void __ogg_fdrfftb(int n, double *r, double *wsave, int *ifac)
-
- __ogg_fdrffti == initialization
- __ogg_fdrfftf == forward transform
- __ogg_fdrfftb == backward transform
-
- Parameters are
- n == length of sequence
- r == sequence to be transformed (input)
- == transformed sequence (output)
- wsave == work array of length 2n (allocated by caller)
- ifac == work array of length 15 (allocated by caller)
-
- Cosine quarter-wave FFT
-
- void __ogg_fdcosqi(int n, double *wsave, int *ifac)
- void __ogg_fdcosqf(int n,double *x,double *wsave,int *ifac)
- void __ogg_fdcosqb(int n,double *x,double *wsave,int *ifac)
-*/
-
-/********************************************************************
- * *
- * THIS FILE IS PART OF THE OggSQUISH SOFTWARE CODEC SOURCE CODE. *
- * *
- ********************************************************************
-
- file: fft.c
- function: Fast discrete Fourier and cosine transforms and inverses
- author: Monty <xiphmont@mit.edu>
- modifications by: Monty
- last modification date: Jul 1 1996
-
- ********************************************************************/
-
-/* These Fourier routines were originally based on the Fourier
- routines of the same names from the NETLIB bihar and fftpack
- fortran libraries developed by Paul N. Swarztrauber at the National
- Center for Atmospheric Research in Boulder, CO USA. They have been
- reimplemented in C and optimized in a few ways for OggSquish. */
-
-/* As the original fortran libraries are public domain, the C Fourier
- routines in this file are hereby released to the public domain as
- well. The C routines here produce output exactly equivalent to the
- original fortran routines. Of particular interest are the facts
- that (like the original fortran), these routines can work on
- arbitrary length vectors that need not be powers of two in
- length. */
-
-#include "openc.h"
-#define STIN static
-
-static void drfti1(int n, double *wa, int *ifac){
- static int ntryh[4] = { 4,2,3,5 };
- static double tpi = 6.28318530717958647692528676655900577;
- double arg,argh,argld,fi;
- int ntry=0,i,j=-1;
- int k1, l1, l2, ib;
- int ld, ii, ip, is, nq, nr;
- int ido, ipm, nfm1;
- int nl=n;
- int nf=0;
-
- L101:
- j++;
- if (j < 4)
- ntry=ntryh[j];
- else
- ntry+=2;
-
- L104:
- nq=nl/ntry;
- nr=nl-ntry*nq;
- if (nr!=0) goto L101;
-
- nf++;
- ifac[nf+1]=ntry;
- nl=nq;
- if(ntry!=2)goto L107;
- if(nf==1)goto L107;
-
- for (i=1;i<nf;i++){
- ib=nf-i+1;
- ifac[ib+1]=ifac[ib];
- }
- ifac[2] = 2;
-
- L107:
- if(nl!=1)goto L104;
- ifac[0]=n;
- ifac[1]=nf;
- argh=tpi/n;
- is=0;
- nfm1=nf-1;
- l1=1;
-
- if(nfm1==0)return;
-
- for (k1=0;k1<nfm1;k1++){
- ip=ifac[k1+2];
- ld=0;
- l2=l1*ip;
- ido=n/l2;
- ipm=ip-1;
-
- for (j=0;j<ipm;j++){
- ld+=l1;
- i=is;
- argld=(double)ld*argh;
- fi=0.;
- for (ii=2;ii<ido;ii+=2){
- fi+=1.;
- arg=fi*argld;
- wa[i++]=cos(arg);
- wa[i++]=sin(arg);
- }
- is+=ido;
- }
- l1=l2;
- }
-}
-
-void __ogg_fdrffti(int n, double *wsave, int *ifac){
-
- if (n == 1) return;
- drfti1(n, wsave+n, ifac);
-}
-
-void __ogg_fdcosqi(int n, double *wsave, int *ifac){
- static double pih = 1.57079632679489661923132169163975;
- static int k;
- static double fk, dt;
-
- dt=pih/n;
- fk=0.;
- for(k=0;k<n;k++){
- fk+=1.;
- wsave[k] = cos(fk*dt);
- }
-
- __ogg_fdrffti(n, wsave+n,ifac);
-}
-
-STIN void dradf2(int ido,int l1,double *cc,double *ch,double *wa1){
- int i,k;
- double ti2,tr2;
- int t0,t1,t2,t3,t4,t5,t6;
-
- t1=0;
- t0=(t2=l1*ido);
- t3=ido<<1;
- for(k=0;k<l1;k++){
- ch[t1<<1]=cc[t1]+cc[t2];
- ch[(t1<<1)+t3-1]=cc[t1]-cc[t2];
- t1+=ido;
- t2+=ido;
- }
-
- if(ido<2)return;
- if(ido==2)goto L105;
-
- t1=0;
- t2=t0;
- for(k=0;k<l1;k++){
- t3=t2;
- t4=(t1<<1)+(ido<<1);
- t5=t1;
- t6=t1+t1;
- for(i=2;i<ido;i+=2){
- t3+=2;
- t4-=2;
- t5+=2;
- t6+=2;
- tr2=wa1[i-2]*cc[t3-1]+wa1[i-1]*cc[t3];
- ti2=wa1[i-2]*cc[t3]-wa1[i-1]*cc[t3-1];
- ch[t6]=cc[t5]+ti2;
- ch[t4]=ti2-cc[t5];
- ch[t6-1]=cc[t5-1]+tr2;
- ch[t4-1]=cc[t5-1]-tr2;
- }
- t1+=ido;
- t2+=ido;
- }
-
- if(ido%2==1)return;
-
- L105:
- t3=(t2=(t1=ido)-1);
- t2+=t0;
- for(k=0;k<l1;k++){
- ch[t1]=-cc[t2];
- ch[t1-1]=cc[t3];
- t1+=ido<<1;
- t2+=ido;
- t3+=ido;
- }
-}
-
-STIN void dradf4(int ido,int l1,double *cc,double *ch,double *wa1,
- double *wa2,double *wa3){
- static double hsqt2 = .70710678118654752440084436210485;
- int i,k,t0,t1,t2,t3,t4,t5,t6;
- double ci2,ci3,ci4,cr2,cr3,cr4,ti1,ti2,ti3,ti4,tr1,tr2,tr3,tr4;
- t0=l1*ido;
-
- t1=t0;
- t4=t1<<1;
- t2=t1+(t1<<1);
- t3=0;
-
- for(k=0;k<l1;k++){
- tr1=cc[t1]+cc[t2];
- tr2=cc[t3]+cc[t4];
- ch[t5=t3<<2]=tr1+tr2;
- ch[(ido<<2)+t5-1]=tr2-tr1;
- ch[(t5+=(ido<<1))-1]=cc[t3]-cc[t4];
- ch[t5]=cc[t2]-cc[t1];
-
- t1+=ido;
- t2+=ido;
- t3+=ido;
- t4+=ido;
- }
-
- if(ido<2)return;
- if(ido==2)goto L105;
-
- t1=0;
- for(k=0;k<l1;k++){
- t2=t1;
- t4=t1<<2;
- t5=(t6=ido<<1)+t4;
- for(i=2;i<ido;i+=2){
- t3=(t2+=2);
- t4+=2;
- t5-=2;
-
- t3+=t0;
- cr2=wa1[i-2]*cc[t3-1]+wa1[i-1]*cc[t3];
- ci2=wa1[i-2]*cc[t3]-wa1[i-1]*cc[t3-1];
- t3+=t0;
- cr3=wa2[i-2]*cc[t3-1]+wa2[i-1]*cc[t3];
- ci3=wa2[i-2]*cc[t3]-wa2[i-1]*cc[t3-1];
- t3+=t0;
- cr4=wa3[i-2]*cc[t3-1]+wa3[i-1]*cc[t3];
- ci4=wa3[i-2]*cc[t3]-wa3[i-1]*cc[t3-1];
-
- tr1=cr2+cr4;
- tr4=cr4-cr2;
- ti1=ci2+ci4;
- ti4=ci2-ci4;
- ti2=cc[t2]+ci3;
- ti3=cc[t2]-ci3;
- tr2=cc[t2-1]+cr3;
- tr3=cc[t2-1]-cr3;
-
-
- ch[t4-1]=tr1+tr2;
- ch[t4]=ti1+ti2;
-
- ch[t5-1]=tr3-ti4;
- ch[t5]=tr4-ti3;
-
- ch[t4+t6-1]=ti4+tr3;
- ch[t4+t6]=tr4+ti3;
-
- ch[t5+t6-1]=tr2-tr1;
- ch[t5+t6]=ti1-ti2;
- }
- t1+=ido;
- }
- if(ido%2==1)return;
-
- L105:
-
- t2=(t1=t0+ido-1)+(t0<<1);
- t3=ido<<2;
- t4=ido;
- t5=ido<<1;
- t6=ido;
-
- for(k=0;k<l1;k++){
- ti1=-hsqt2*(cc[t1]+cc[t2]);
- tr1=hsqt2*(cc[t1]-cc[t2]);
- ch[t4-1]=tr1+cc[t6-1];
- ch[t4+t5-1]=cc[t6-1]-tr1;
- ch[t4]=ti1-cc[t1+t0];
- ch[t4+t5]=ti1+cc[t1+t0];
- t1+=ido;
- t2+=ido;
- t4+=t3;
- t6+=ido;
- }
-}
-
-STIN void dradfg(int ido,int ip,int l1,int idl1,double *cc,double *c1,
- double *c2,double *ch,double *ch2,double *wa){
-
- static double tpi=6.28318530717958647692528676655900577;
- int idij,ipph,i,j,k,l,ic,ik,is;
- int t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10;
- double dc2,ai1,ai2,ar1,ar2,ds2;
- int nbd;
- double dcp,arg,dsp,ar1h,ar2h;
- int idp2,ipp2;
-
- arg=tpi/(double)ip;
- dcp=cos(arg);
- dsp=sin(arg);
- ipph=(ip+1)>>1;
- ipp2=ip;
- idp2=ido;
- nbd=(ido-1)>>1;
- t0=l1*ido;
- t10=ip*ido;
-
- if(ido==1)goto L119;
- for(ik=0;ik<idl1;ik++)ch2[ik]=c2[ik];
-
- t1=0;
- for(j=1;j<ip;j++){
- t1+=t0;
- t2=t1;
- for(k=0;k<l1;k++){
- ch[t2]=c1[t2];
- t2+=ido;
- }
- }
-
- is=-ido;
- t1=0;
- if(nbd>l1){
- for(j=1;j<ip;j++){
- t1+=t0;
- is+=ido;
- t2= -ido+t1;
- for(k=0;k<l1;k++){
- idij=is-1;
- t2+=ido;
- t3=t2;
- for(i=2;i<ido;i+=2){
- idij+=2;
- t3+=2;
- ch[t3-1]=wa[idij-1]*c1[t3-1]+wa[idij]*c1[t3];
- ch[t3]=wa[idij-1]*c1[t3]-wa[idij]*c1[t3-1];
- }
- }
- }
- }else{
-
- for(j=1;j<ip;j++){
- is+=ido;
- idij=is-1;
- t1+=t0;
- t2=t1;
- for(i=2;i<ido;i+=2){
- idij+=2;
- t2+=2;
- t3=t2;
- for(k=0;k<l1;k++){
- ch[t3-1]=wa[idij-1]*c1[t3-1]+wa[idij]*c1[t3];
- ch[t3]=wa[idij-1]*c1[t3]-wa[idij]*c1[t3-1];
- t3+=ido;
- }
- }
- }
- }
-
- t1=0;
- t2=ipp2*t0;
- if(nbd<l1){
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- for(i=2;i<ido;i+=2){
- t3+=2;
- t4+=2;
- t5=t3-ido;
- t6=t4-ido;
- for(k=0;k<l1;k++){
- t5+=ido;
- t6+=ido;
- c1[t5-1]=ch[t5-1]+ch[t6-1];
- c1[t6-1]=ch[t5]-ch[t6];
- c1[t5]=ch[t5]+ch[t6];
- c1[t6]=ch[t6-1]-ch[t5-1];
- }
- }
- }
- }else{
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- for(k=0;k<l1;k++){
- t5=t3;
- t6=t4;
- for(i=2;i<ido;i+=2){
- t5+=2;
- t6+=2;
- c1[t5-1]=ch[t5-1]+ch[t6-1];
- c1[t6-1]=ch[t5]-ch[t6];
- c1[t5]=ch[t5]+ch[t6];
- c1[t6]=ch[t6-1]-ch[t5-1];
- }
- t3+=ido;
- t4+=ido;
- }
- }
- }
-
-L119:
- for(ik=0;ik<idl1;ik++)c2[ik]=ch2[ik];
-
- t1=0;
- t2=ipp2*idl1;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1-ido;
- t4=t2-ido;
- for(k=0;k<l1;k++){
- t3+=ido;
- t4+=ido;
- c1[t3]=ch[t3]+ch[t4];
- c1[t4]=ch[t4]-ch[t3];
- }
- }
-
- ar1=1.;
- ai1=0.;
- t1=0;
- t2=ipp2*idl1;
- t3=(ip-1)*idl1;
- for(l=1;l<ipph;l++){
- t1+=idl1;
- t2-=idl1;
- ar1h=dcp*ar1-dsp*ai1;
- ai1=dcp*ai1+dsp*ar1;
- ar1=ar1h;
- t4=t1;
- t5=t2;
- t6=t3;
- t7=idl1;
-
- for(ik=0;ik<idl1;ik++){
- ch2[t4++]=c2[ik]+ar1*c2[t7++];
- ch2[t5++]=ai1*c2[t6++];
- }
-
- dc2=ar1;
- ds2=ai1;
- ar2=ar1;
- ai2=ai1;
-
- t4=idl1;
- t5=(ipp2-1)*idl1;
- for(j=2;j<ipph;j++){
- t4+=idl1;
- t5-=idl1;
-
- ar2h=dc2*ar2-ds2*ai2;
- ai2=dc2*ai2+ds2*ar2;
- ar2=ar2h;
-
- t6=t1;
- t7=t2;
- t8=t4;
- t9=t5;
- for(ik=0;ik<idl1;ik++){
- ch2[t6++]+=ar2*c2[t8++];
- ch2[t7++]+=ai2*c2[t9++];
- }
- }
- }
-
- t1=0;
- for(j=1;j<ipph;j++){
- t1+=idl1;
- t2=t1;
- for(ik=0;ik<idl1;ik++)ch2[ik]+=c2[t2++];
- }
-
- if(ido<l1)goto L132;
-
- t1=0;
- t2=0;
- for(k=0;k<l1;k++){
- t3=t1;
- t4=t2;
- for(i=0;i<ido;i++)cc[t4++]=ch[t3++];
- t1+=ido;
- t2+=t10;
- }
-
- goto L135;
-
- L132:
- for(i=0;i<ido;i++){
- t1=i;
- t2=i;
- for(k=0;k<l1;k++){
- cc[t2]=ch[t1];
- t1+=ido;
- t2+=t10;
- }
- }
-
- L135:
- t1=0;
- t2=ido<<1;
- t3=0;
- t4=ipp2*t0;
- for(j=1;j<ipph;j++){
-
- t1+=t2;
- t3+=t0;
- t4-=t0;
-
- t5=t1;
- t6=t3;
- t7=t4;
-
- for(k=0;k<l1;k++){
- cc[t5-1]=ch[t6];
- cc[t5]=ch[t7];
- t5+=t10;
- t6+=ido;
- t7+=ido;
- }
- }
-
- if(ido==1)return;
- if(nbd<l1)goto L141;
-
- t1=-ido;
- t3=0;
- t4=0;
- t5=ipp2*t0;
- for(j=1;j<ipph;j++){
- t1+=t2;
- t3+=t2;
- t4+=t0;
- t5-=t0;
- t6=t1;
- t7=t3;
- t8=t4;
- t9=t5;
- for(k=0;k<l1;k++){
- for(i=2;i<ido;i+=2){
- ic=idp2-i;
- cc[i+t7-1]=ch[i+t8-1]+ch[i+t9-1];
- cc[ic+t6-1]=ch[i+t8-1]-ch[i+t9-1];
- cc[i+t7]=ch[i+t8]+ch[i+t9];
- cc[ic+t6]=ch[i+t9]-ch[i+t8];
- }
- t6+=t10;
- t7+=t10;
- t8+=ido;
- t9+=ido;
- }
- }
- return;
-
- L141:
-
- t1=-ido;
- t3=0;
- t4=0;
- t5=ipp2*t0;
- for(j=1;j<ipph;j++){
- t1+=t2;
- t3+=t2;
- t4+=t0;
- t5-=t0;
- for(i=2;i<ido;i+=2){
- t6=idp2+t1-i;
- t7=i+t3;
- t8=i+t4;
- t9=i+t5;
- for(k=0;k<l1;k++){
- cc[t7-1]=ch[t8-1]+ch[t9-1];
- cc[t6-1]=ch[t8-1]-ch[t9-1];
- cc[t7]=ch[t8]+ch[t9];
- cc[t6]=ch[t9]-ch[t8];
- t6+=t10;
- t7+=t10;
- t8+=ido;
- t9+=ido;
- }
- }
- }
-}
-
-STIN void drftf1(int n,double *c,double *ch,double *wa,int *ifac){
- int i,k1,l1,l2;
- int na,kh,nf;
- int ip,iw,ido,idl1,ix2,ix3;
-
- nf=ifac[1];
- na=1;
- l2=n;
- iw=n;
-
- for(k1=0;k1<nf;k1++){
- kh=nf-k1;
- ip=ifac[kh+1];
- l1=l2/ip;
- ido=n/l2;
- idl1=ido*l1;
- iw-=(ip-1)*ido;
- na=1-na;
-
- if(ip!=4)goto L102;
-
- ix2=iw+ido;
- ix3=ix2+ido;
- if(na!=0)
- dradf4(ido,l1,ch,c,wa+iw-1,wa+ix2-1,wa+ix3-1);
- else
- dradf4(ido,l1,c,ch,wa+iw-1,wa+ix2-1,wa+ix3-1);
- goto L110;
-
- L102:
- if(ip!=2)goto L104;
- if(na!=0)goto L103;
-
- dradf2(ido,l1,c,ch,wa+iw-1);
- goto L110;
-
- L103:
- dradf2(ido,l1,ch,c,wa+iw-1);
- goto L110;
-
- L104:
- if(ido==1)na=1-na;
- if(na!=0)goto L109;
-
- dradfg(ido,ip,l1,idl1,c,c,c,ch,ch,wa+iw-1);
- na=1;
- goto L110;
-
- L109:
- dradfg(ido,ip,l1,idl1,ch,ch,ch,c,c,wa+iw-1);
- na=0;
-
- L110:
- l2=l1;
- }
-
- if(na==1)return;
-
- for(i=0;i<n;i++)c[i]=ch[i];
-}
-
-void __ogg_fdrfftf(int n,double *r,double *wsave,int *ifac){
- if(n==1)return;
- drftf1(n,r,wsave,wsave+n,ifac);
-}
-
-STIN void dcsqf1(int n,double *x,double *w,double *xh,int *ifac){
- int modn,i,k,kc;
- int np2,ns2;
- double xim1;
-
- ns2=(n+1)>>1;
- np2=n;
-
- kc=np2;
- for(k=1;k<ns2;k++){
- kc--;
- xh[k]=x[k]+x[kc];
- xh[kc]=x[k]-x[kc];
- }
-
- modn=n%2;
- if(modn==0)xh[ns2]=x[ns2]+x[ns2];
-
- for(k=1;k<ns2;k++){
- kc=np2-k;
- x[k]=w[k-1]*xh[kc]+w[kc-1]*xh[k];
- x[kc]=w[k-1]*xh[k]-w[kc-1]*xh[kc];
- }
-
- if(modn==0)x[ns2]=w[ns2-1]*xh[ns2];
-
- __ogg_fdrfftf(n,x,xh,ifac);
-
- for(i=2;i<n;i+=2){
- xim1=x[i-1]-x[i];
- x[i]=x[i-1]+x[i];
- x[i-1]=xim1;
- }
-}
-
-void __ogg_fdcosqf(int n,double *x,double *wsave,int *ifac){
- static double sqrt2=1.4142135623730950488016887242097;
- double tsqx;
-
- switch(n){
- case 0:case 1:
- return;
- case 2:
- tsqx=sqrt2*x[1];
- x[1]=x[0]-tsqx;
- x[0]+=tsqx;
- return;
- default:
- dcsqf1(n,x,wsave,wsave+n,ifac);
- return;
- }
-}
-
-STIN void dradb2(int ido,int l1,double *cc,double *ch,double *wa1){
- int i,k,t0,t1,t2,t3,t4,t5,t6;
- double ti2,tr2;
-
- t0=l1*ido;
-
- t1=0;
- t2=0;
- t3=(ido<<1)-1;
- for(k=0;k<l1;k++){
- ch[t1]=cc[t2]+cc[t3+t2];
- ch[t1+t0]=cc[t2]-cc[t3+t2];
- t2=(t1+=ido)<<1;
- }
-
- if(ido<2)return;
- if(ido==2)goto L105;
-
- t1=0;
- t2=0;
- for(k=0;k<l1;k++){
- t3=t1;
- t5=(t4=t2)+(ido<<1);
- t6=t0+t1;
- for(i=2;i<ido;i+=2){
- t3+=2;
- t4+=2;
- t5-=2;
- t6+=2;
- ch[t3-1]=cc[t4-1]+cc[t5-1];
- tr2=cc[t4-1]-cc[t5-1];
- ch[t3]=cc[t4]-cc[t5];
- ti2=cc[t4]+cc[t5];
- ch[t6-1]=wa1[i-2]*tr2-wa1[i-1]*ti2;
- ch[t6]=wa1[i-2]*ti2+wa1[i-1]*tr2;
- }
- t2=(t1+=ido)<<1;
- }
-
- if(ido%2==1)return;
-
-L105:
- t1=ido-1;
- t2=ido-1;
- for(k=0;k<l1;k++){
- ch[t1]=cc[t2]+cc[t2];
- ch[t1+t0]=-(cc[t2+1]+cc[t2+1]);
- t1+=ido;
- t2+=ido<<1;
- }
-}
-
-STIN void dradb3(int ido,int l1,double *cc,double *ch,double *wa1,
- double *wa2){
- static double taur = -.5;
- static double taui = .86602540378443864676372317075293618;
- int i,k,t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10;
- double ci2,ci3,di2,di3,cr2,cr3,dr2,dr3,ti2,tr2;
- t0=l1*ido;
-
- t1=0;
- t2=t0<<1;
- t3=ido<<1;
- t4=ido+(ido<<1);
- t5=0;
- for(k=0;k<l1;k++){
- tr2=cc[t3-1]+cc[t3-1];
- cr2=cc[t5]+(taur*tr2);
- ch[t1]=cc[t5]+tr2;
- ci3=taui*(cc[t3]+cc[t3]);
- ch[t1+t0]=cr2-ci3;
- ch[t1+t2]=cr2+ci3;
- t1+=ido;
- t3+=t4;
- t5+=t4;
- }
-
- if(ido==1)return;
-
- t1=0;
- t3=ido<<1;
- for(k=0;k<l1;k++){
- t7=t1+(t1<<1);
- t6=(t5=t7+t3);
- t8=t1;
- t10=(t9=t1+t0)+t0;
-
- for(i=2;i<ido;i+=2){
- t5+=2;
- t6-=2;
- t7+=2;
- t8+=2;
- t9+=2;
- t10+=2;
- tr2=cc[t5-1]+cc[t6-1];
- cr2=cc[t7-1]+(taur*tr2);
- ch[t8-1]=cc[t7-1]+tr2;
- ti2=cc[t5]-cc[t6];
- ci2=cc[t7]+(taur*ti2);
- ch[t8]=cc[t7]+ti2;
- cr3=taui*(cc[t5-1]-cc[t6-1]);
- ci3=taui*(cc[t5]+cc[t6]);
- dr2=cr2-ci3;
- dr3=cr2+ci3;
- di2=ci2+cr3;
- di3=ci2-cr3;
- ch[t9-1]=wa1[i-2]*dr2-wa1[i-1]*di2;
- ch[t9]=wa1[i-2]*di2+wa1[i-1]*dr2;
- ch[t10-1]=wa2[i-2]*dr3-wa2[i-1]*di3;
- ch[t10]=wa2[i-2]*di3+wa2[i-1]*dr3;
- }
- t1+=ido;
- }
-}
-
-STIN void dradb4(int ido,int l1,double *cc,double *ch,double *wa1,
- double *wa2,double *wa3){
- static double sqrt2=1.4142135623730950488016887242097;
- int i,k,t0,t1,t2,t3,t4,t5,t6,t7,t8;
- double ci2,ci3,ci4,cr2,cr3,cr4,ti1,ti2,ti3,ti4,tr1,tr2,tr3,tr4;
- t0=l1*ido;
-
- t1=0;
- t2=ido<<2;
- t3=0;
- t6=ido<<1;
- for(k=0;k<l1;k++){
- t4=t3+t6;
- t5=t1;
- tr3=cc[t4-1]+cc[t4-1];
- tr4=cc[t4]+cc[t4];
- tr1=cc[t3]-cc[(t4+=t6)-1];
- tr2=cc[t3]+cc[t4-1];
- ch[t5]=tr2+tr3;
- ch[t5+=t0]=tr1-tr4;
- ch[t5+=t0]=tr2-tr3;
- ch[t5+=t0]=tr1+tr4;
- t1+=ido;
- t3+=t2;
- }
-
- if(ido<2)return;
- if(ido==2)goto L105;
-
- t1=0;
- for(k=0;k<l1;k++){
- t5=(t4=(t3=(t2=t1<<2)+t6))+t6;
- t7=t1;
- for(i=2;i<ido;i+=2){
- t2+=2;
- t3+=2;
- t4-=2;
- t5-=2;
- t7+=2;
- ti1=cc[t2]+cc[t5];
- ti2=cc[t2]-cc[t5];
- ti3=cc[t3]-cc[t4];
- tr4=cc[t3]+cc[t4];
- tr1=cc[t2-1]-cc[t5-1];
- tr2=cc[t2-1]+cc[t5-1];
- ti4=cc[t3-1]-cc[t4-1];
- tr3=cc[t3-1]+cc[t4-1];
- ch[t7-1]=tr2+tr3;
- cr3=tr2-tr3;
- ch[t7]=ti2+ti3;
- ci3=ti2-ti3;
- cr2=tr1-tr4;
- cr4=tr1+tr4;
- ci2=ti1+ti4;
- ci4=ti1-ti4;
-
- ch[(t8=t7+t0)-1]=wa1[i-2]*cr2-wa1[i-1]*ci2;
- ch[t8]=wa1[i-2]*ci2+wa1[i-1]*cr2;
- ch[(t8+=t0)-1]=wa2[i-2]*cr3-wa2[i-1]*ci3;
- ch[t8]=wa2[i-2]*ci3+wa2[i-1]*cr3;
- ch[(t8+=t0)-1]=wa3[i-2]*cr4-wa3[i-1]*ci4;
- ch[t8]=wa3[i-2]*ci4+wa3[i-1]*cr4;
- }
- t1+=ido;
- }
-
- if(ido%2 == 1)return;
-
- L105:
-
- t1=ido;
- t2=ido<<2;
- t3=ido-1;
- t4=ido+(ido<<1);
- for(k=0;k<l1;k++){
- t5=t3;
- ti1=cc[t1]+cc[t4];
- ti2=cc[t4]-cc[t1];
- tr1=cc[t1-1]-cc[t4-1];
- tr2=cc[t1-1]+cc[t4-1];
- ch[t5]=tr2+tr2;
- ch[t5+=t0]=sqrt2*(tr1-ti1);
- ch[t5+=t0]=ti2+ti2;
- ch[t5+=t0]=-sqrt2*(tr1+ti1);
-
- t3+=ido;
- t1+=t2;
- t4+=t2;
- }
-}
-
-STIN void dradbg(int ido,int ip,int l1,int idl1,double *cc,double *c1,
- double *c2,double *ch,double *ch2,double *wa){
- static double tpi=6.28318530717958647692528676655900577;
- int idij,ipph,i,j,k,l,ik,is,t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,
- t11,t12;
- double dc2,ai1,ai2,ar1,ar2,ds2;
- int nbd;
- double dcp,arg,dsp,ar1h,ar2h;
- int ipp2;
-
- t10=ip*ido;
- t0=l1*ido;
- arg=tpi/(double)ip;
- dcp=cos(arg);
- dsp=sin(arg);
- nbd=(ido-1)>>1;
- ipp2=ip;
- ipph=(ip+1)>>1;
- if(ido<l1)goto L103;
-
- t1=0;
- t2=0;
- for(k=0;k<l1;k++){
- t3=t1;
- t4=t2;
- for(i=0;i<ido;i++){
- ch[t3]=cc[t4];
- t3++;
- t4++;
- }
- t1+=ido;
- t2+=t10;
- }
- goto L106;
-
- L103:
- t1=0;
- for(i=0;i<ido;i++){
- t2=t1;
- t3=t1;
- for(k=0;k<l1;k++){
- ch[t2]=cc[t3];
- t2+=ido;
- t3+=t10;
- }
- t1++;
- }
-
- L106:
- t1=0;
- t2=ipp2*t0;
- t7=(t5=ido<<1);
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- t6=t5;
- for(k=0;k<l1;k++){
- ch[t3]=cc[t6-1]+cc[t6-1];
- ch[t4]=cc[t6]+cc[t6];
- t3+=ido;
- t4+=ido;
- t6+=t10;
- }
- t5+=t7;
- }
-
- if (ido == 1)goto L116;
- if(nbd<l1)goto L112;
-
- t1=0;
- t2=ipp2*t0;
- t7=0;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
-
- t7+=(ido<<1);
- t8=t7;
- for(k=0;k<l1;k++){
- t5=t3;
- t6=t4;
- t9=t8;
- t11=t8;
- for(i=2;i<ido;i+=2){
- t5+=2;
- t6+=2;
- t9+=2;
- t11-=2;
- ch[t5-1]=cc[t9-1]+cc[t11-1];
- ch[t6-1]=cc[t9-1]-cc[t11-1];
- ch[t5]=cc[t9]-cc[t11];
- ch[t6]=cc[t9]+cc[t11];
- }
- t3+=ido;
- t4+=ido;
- t8+=t10;
- }
- }
- goto L116;
-
- L112:
- t1=0;
- t2=ipp2*t0;
- t7=0;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- t7+=(ido<<1);
- t8=t7;
- t9=t7;
- for(i=2;i<ido;i+=2){
- t3+=2;
- t4+=2;
- t8+=2;
- t9-=2;
- t5=t3;
- t6=t4;
- t11=t8;
- t12=t9;
- for(k=0;k<l1;k++){
- ch[t5-1]=cc[t11-1]+cc[t12-1];
- ch[t6-1]=cc[t11-1]-cc[t12-1];
- ch[t5]=cc[t11]-cc[t12];
- ch[t6]=cc[t11]+cc[t12];
- t5+=ido;
- t6+=ido;
- t11+=t10;
- t12+=t10;
- }
- }
- }
-
-L116:
- ar1=1.;
- ai1=0.;
- t1=0;
- t9=(t2=ipp2*idl1);
- t3=(ip-1)*idl1;
- for(l=1;l<ipph;l++){
- t1+=idl1;
- t2-=idl1;
-
- ar1h=dcp*ar1-dsp*ai1;
- ai1=dcp*ai1+dsp*ar1;
- ar1=ar1h;
- t4=t1;
- t5=t2;
- t6=0;
- t7=idl1;
- t8=t3;
- for(ik=0;ik<idl1;ik++){
- c2[t4++]=ch2[t6++]+ar1*ch2[t7++];
- c2[t5++]=ai1*ch2[t8++];
- }
- dc2=ar1;
- ds2=ai1;
- ar2=ar1;
- ai2=ai1;
-
- t6=idl1;
- t7=t9-idl1;
- for(j=2;j<ipph;j++){
- t6+=idl1;
- t7-=idl1;
- ar2h=dc2*ar2-ds2*ai2;
- ai2=dc2*ai2+ds2*ar2;
- ar2=ar2h;
- t4=t1;
- t5=t2;
- t11=t6;
- t12=t7;
- for(ik=0;ik<idl1;ik++){
- c2[t4++]+=ar2*ch2[t11++];
- c2[t5++]+=ai2*ch2[t12++];
- }
- }
- }
-
- t1=0;
- for(j=1;j<ipph;j++){
- t1+=idl1;
- t2=t1;
- for(ik=0;ik<idl1;ik++)ch2[ik]+=ch2[t2++];
- }
-
- t1=0;
- t2=ipp2*t0;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- for(k=0;k<l1;k++){
- ch[t3]=c1[t3]-c1[t4];
- ch[t4]=c1[t3]+c1[t4];
- t3+=ido;
- t4+=ido;
- }
- }
-
- if(ido==1)goto L132;
- if(nbd<l1)goto L128;
-
- t1=0;
- t2=ipp2*t0;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- for(k=0;k<l1;k++){
- t5=t3;
- t6=t4;
- for(i=2;i<ido;i+=2){
- t5+=2;
- t6+=2;
- ch[t5-1]=c1[t5-1]-c1[t6];
- ch[t6-1]=c1[t5-1]+c1[t6];
- ch[t5]=c1[t5]+c1[t6-1];
- ch[t6]=c1[t5]-c1[t6-1];
- }
- t3+=ido;
- t4+=ido;
- }
- }
- goto L132;
-
- L128:
- t1=0;
- t2=ipp2*t0;
- for(j=1;j<ipph;j++){
- t1+=t0;
- t2-=t0;
- t3=t1;
- t4=t2;
- for(i=2;i<ido;i+=2){
- t3+=2;
- t4+=2;
- t5=t3;
- t6=t4;
- for(k=0;k<l1;k++){
- ch[t5-1]=c1[t5-1]-c1[t6];
- ch[t6-1]=c1[t5-1]+c1[t6];
- ch[t5]=c1[t5]+c1[t6-1];
- ch[t6]=c1[t5]-c1[t6-1];
- t5+=ido;
- t6+=ido;
- }
- }
- }
-
-L132:
- if(ido==1)return;
-
- for(ik=0;ik<idl1;ik++)c2[ik]=ch2[ik];
-
- t1=0;
- for(j=1;j<ip;j++){
- t2=(t1+=t0);
- for(k=0;k<l1;k++){
- c1[t2]=ch[t2];
- t2+=ido;
- }
- }
-
- if(nbd>l1)goto L139;
-
- is= -ido-1;
- t1=0;
- for(j=1;j<ip;j++){
- is+=ido;
- t1+=t0;
- idij=is;
- t2=t1;
- for(i=2;i<ido;i+=2){
- t2+=2;
- idij+=2;
- t3=t2;
- for(k=0;k<l1;k++){
- c1[t3-1]=wa[idij-1]*ch[t3-1]-wa[idij]*ch[t3];
- c1[t3]=wa[idij-1]*ch[t3]+wa[idij]*ch[t3-1];
- t3+=ido;
- }
- }
- }
- return;
-
- L139:
- is= -ido-1;
- t1=0;
- for(j=1;j<ip;j++){
- is+=ido;
- t1+=t0;
- t2=t1;
- for(k=0;k<l1;k++){
- idij=is;
- t3=t2;
- for(i=2;i<ido;i+=2){
- idij+=2;
- t3+=2;
- c1[t3-1]=wa[idij-1]*ch[t3-1]-wa[idij]*ch[t3];
- c1[t3]=wa[idij-1]*ch[t3]+wa[idij]*ch[t3-1];
- }
- t2+=ido;
- }
- }
-}
-
-STIN void drftb1(int n, double *c, double *ch, double *wa, int *ifac){
- int i,k1,l1,l2;
- int na;
- int nf,ip,iw,ix2,ix3,ido,idl1;
-
- nf=ifac[1];
- na=0;
- l1=1;
- iw=1;
-
- for(k1=0;k1<nf;k1++){
- ip=ifac[k1 + 2];
- l2=ip*l1;
- ido=n/l2;
- idl1=ido*l1;
- if(ip!=4)goto L103;
- ix2=iw+ido;
- ix3=ix2+ido;
-
- if(na!=0)
- dradb4(ido,l1,ch,c,wa+iw-1,wa+ix2-1,wa+ix3-1);
- else
- dradb4(ido,l1,c,ch,wa+iw-1,wa+ix2-1,wa+ix3-1);
- na=1-na;
- goto L115;
-
- L103:
- if(ip!=2)goto L106;
-
- if(na!=0)
- dradb2(ido,l1,ch,c,wa+iw-1);
- else
- dradb2(ido,l1,c,ch,wa+iw-1);
- na=1-na;
- goto L115;
-
- L106:
- if(ip!=3)goto L109;
-
- ix2=iw+ido;
- if(na!=0)
- dradb3(ido,l1,ch,c,wa+iw-1,wa+ix2-1);
- else
- dradb3(ido,l1,c,ch,wa+iw-1,wa+ix2-1);
- na=1-na;
- goto L115;
-
- L109:
-/* The radix five case can be translated later..... */
-/* if(ip!=5)goto L112;
-
- ix2=iw+ido;
- ix3=ix2+ido;
- ix4=ix3+ido;
- if(na!=0)
- dradb5(ido,l1,ch,c,wa+iw-1,wa+ix2-1,wa+ix3-1,wa+ix4-1);
- else
- dradb5(ido,l1,c,ch,wa+iw-1,wa+ix2-1,wa+ix3-1,wa+ix4-1);
- na=1-na;
- goto L115;
-
- L112:*/
- if(na!=0)
- dradbg(ido,ip,l1,idl1,ch,ch,ch,c,c,wa+iw-1);
- else
- dradbg(ido,ip,l1,idl1,c,c,c,ch,ch,wa+iw-1);
- if(ido==1)na=1-na;
-
- L115:
- l1=l2;
- iw+=(ip-1)*ido;
- }
-
- if(na==0)return;
-
- for(i=0;i<n;i++)c[i]=ch[i];
-}
-
-void __ogg_fdrfftb(int n, double *r, double *wsave, int *ifac){
- if (n == 1)return;
- drftb1(n, r, wsave, wsave+n, ifac);
-}
-
-STIN void dcsqb1(int n,double *x,double *w,double *xh,int *ifac){
- int modn,i,k,kc;
- int np2,ns2;
- double xim1;
-
- ns2=(n+1)>>1;
- np2=n;
-
- for(i=2;i<n;i+=2){
- xim1=x[i-1]+x[i];
- x[i]-=x[i-1];
- x[i-1]=xim1;
- }
-
- x[0]+=x[0];
- modn=n%2;
- if(modn==0)x[n-1]+=x[n-1];
-
- __ogg_fdrfftb(n,x,xh,ifac);
-
- kc=np2;
- for(k=1;k<ns2;k++){
- kc--;
- xh[k]=w[k-1]*x[kc]+w[kc-1]*x[k];
- xh[kc]=w[k-1]*x[k]-w[kc-1]*x[kc];
- }
-
- if(modn==0)x[ns2]=w[ns2-1]*(x[ns2]+x[ns2]);
-
- kc=np2;
- for(k=1;k<ns2;k++){
- kc--;
- x[k]=xh[k]+xh[kc];
- x[kc]=xh[k]-xh[kc];
- }
- x[0]+=x[0];
-}
-
-void __ogg_fdcosqb(int n,double *x,double *wsave,int *ifac){
- static double tsqrt2 = 2.8284271247461900976033774484194;
- double x1;
-
- if(n<2){
- x[0]*=4;
- return;
- }
- if(n==2){
- x1=(x[0]+x[1])*4;
- x[1]=tsqrt2*(x[0]-x[1]);
- x[0]=x1;
- return;
- }
-
- dcsqb1(n,x,wsave,wsave+n,ifac);
-}