--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/kerneltest/e32utils/nistsecurerng/src/dfft.cpp Fri Jun 11 15:02:23 2010 +0300
@@ -0,0 +1,1399 @@
+/*
+* 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);
+}