ref: 485a3301e6119f0c85d7869d469fc0a0888e49c1
dir: /sys/src/cmd/audio/libvorbis/smallft.c/
/******************************************************************** * * * THIS FILE IS PART OF THE OggVorbis SOFTWARE CODEC SOURCE CODE. * * USE, DISTRIBUTION AND REPRODUCTION OF THIS LIBRARY SOURCE IS * * GOVERNED BY A BSD-STYLE SOURCE LICENSE INCLUDED WITH THIS SOURCE * * IN 'COPYING'. PLEASE READ THESE TERMS BEFORE DISTRIBUTING. * * * * THE OggVorbis SOURCE CODE IS (C) COPYRIGHT 1994-2009 * * by the Xiph.Org Foundation http://www.xiph.org/ * * * ******************************************************************** function: *unnormalized* fft transform last mod: $Id: smallft.c 16227 2009-07-08 06:58:46Z xiphmont $ ********************************************************************/ /* FFT implementation from OggSquish, minus cosine transforms, * minus all but radix 2/4 case. In Vorbis we only need this * cut-down version. * * To do more than just power-of-two sized vectors, see the full * version I wrote for NetLib. * * Note that the packing is a little strange; rather than the FFT r/i * packing following R_0, I_n, R_1, I_1, R_2, I_2 ... R_n-1, I_n-1, * it follows R_0, R_1, I_1, R_2, I_2 ... R_n-1, I_n-1, I_n like the * FORTRAN version */ #include <stdlib.h> #include <string.h> #include <math.h> #include "smallft.h" #include "os.h" #include "misc.h" static void drfti1(int n, float *wa, int *ifac){ static int ntryh[4] = { 4,2,3,5 }; static float tpi = 6.28318530717958648f; float 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=(float)ld*argh; fi=0.f; for (ii=2;ii<ido;ii+=2){ fi+=1.f; arg=fi*argld; wa[i++]=cos(arg); wa[i++]=sin(arg); } is+=ido; } l1=l2; } } static void fdrffti(int n, float *wsave, int *ifac){ if (n == 1) return; drfti1(n, wsave+n, ifac); } static void dradf2(int ido,int l1,float *cc,float *ch,float *wa1){ int i,k; float 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; } } static void dradf4(int ido,int l1,float *cc,float *ch,float *wa1, float *wa2,float *wa3){ static float hsqt2 = .70710678118654752f; int i,k,t0,t1,t2,t3,t4,t5,t6; float 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&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; } } static void dradfg(int ido,int ip,int l1,int idl1,float *cc,float *c1, float *c2,float *ch,float *ch2,float *wa){ static float tpi=6.283185307179586f; int idij,ipph,i,j,k,l,ic,ik,is; int t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10; float dc2,ai1,ai2,ar1,ar2,ds2; int nbd; float dcp,arg,dsp,ar1h,ar2h; int idp2,ipp2; arg=tpi/(float)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.f; ai1=0.f; 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; } } } } static void drftf1(int n,float *c,float *ch,float *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]; } static void dradb2(int ido,int l1,float *cc,float *ch,float *wa1){ int i,k,t0,t1,t2,t3,t4,t5,t6; float 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; } } static void dradb3(int ido,int l1,float *cc,float *ch,float *wa1, float *wa2){ static float taur = -.5f; static float taui = .8660254037844386f; int i,k,t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10; float 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; } } static void dradb4(int ido,int l1,float *cc,float *ch,float *wa1, float *wa2,float *wa3){ static float sqrt2=1.414213562373095f; int i,k,t0,t1,t2,t3,t4,t5,t6,t7,t8; float 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; } } static void dradbg(int ido,int ip,int l1,int idl1,float *cc,float *c1, float *c2,float *ch,float *ch2,float *wa){ static float tpi=6.283185307179586f; int idij,ipph,i,j,k,l,ik,is,t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10, t11,t12; float dc2,ai1,ai2,ar1,ar2,ds2; int nbd; float dcp,arg,dsp,ar1h,ar2h; int ipp2; t10=ip*ido; t0=l1*ido; arg=tpi/(float)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.f; ai1=0.f; 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; } } } static void drftb1(int n, float *c, float *ch, float *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 drft_forward(drft_lookup *l,float *data){ if(l->n==1)return; drftf1(l->n,data,l->trigcache,l->trigcache+l->n,l->splitcache); } void drft_backward(drft_lookup *l,float *data){ if (l->n==1)return; drftb1(l->n,data,l->trigcache,l->trigcache+l->n,l->splitcache); } void drft_init(drft_lookup *l,int n){ l->n=n; l->trigcache=_ogg_calloc(3*n,sizeof(*l->trigcache)); l->splitcache=_ogg_calloc(32,sizeof(*l->splitcache)); fdrffti(n, l->trigcache, l->splitcache); } void drft_clear(drft_lookup *l){ if(l){ if(l->trigcache)_ogg_free(l->trigcache); if(l->splitcache)_ogg_free(l->splitcache); memset(l,0,sizeof(*l)); } }