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authorJean-Marc Valin <jean-marc.valin@usherbrooke.ca>2010-07-07 20:00:43 +0400
committerJean-Marc Valin <jean-marc.valin@usherbrooke.ca>2010-07-07 20:00:43 +0400
commit268caad4e82685553a49a84e42a391a64be9861e (patch)
treed5919fc97b424be8679c89dab71cceb0b73583fe /libcelt/kiss_fft.c
parentea245c5ca9414c695dca99ad8e4edf183fae9ce9 (diff)
Some code cleanup in the FFT.
Also dropped support for radices above 5.
Diffstat (limited to 'libcelt/kiss_fft.c')
-rw-r--r--libcelt/kiss_fft.c356
1 files changed, 157 insertions, 199 deletions
diff --git a/libcelt/kiss_fft.c b/libcelt/kiss_fft.c
index 63e9e81..2968a8d 100644
--- a/libcelt/kiss_fft.c
+++ b/libcelt/kiss_fft.c
@@ -195,85 +195,102 @@ static void kf_bfly3(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
- size_t m
+ int m,
+ int N,
+ int mm
)
{
- size_t k=m;
+ int i;
+ size_t k;
const size_t m2 = 2*m;
kiss_twiddle_cpx *tw1,*tw2;
kiss_fft_cpx scratch[5];
kiss_twiddle_cpx epi3;
- epi3 = st->twiddles[fstride*m];
- tw1=tw2=st->twiddles;
- do{
- C_FIXDIV(*Fout,3); C_FIXDIV(Fout[m],3); C_FIXDIV(Fout[m2],3);
+ kiss_fft_cpx * Fout_beg = Fout;
+ epi3 = st->twiddles[fstride*m];
+ for (i=0;i<N;i++)
+ {
+ Fout = Fout_beg + i*mm;
+ tw1=tw2=st->twiddles;
+ k=m;
+ do {
+ C_FIXDIV(*Fout,3); C_FIXDIV(Fout[m],3); C_FIXDIV(Fout[m2],3);
- C_MUL(scratch[1],Fout[m] , *tw1);
- C_MUL(scratch[2],Fout[m2] , *tw2);
+ C_MUL(scratch[1],Fout[m] , *tw1);
+ C_MUL(scratch[2],Fout[m2] , *tw2);
- C_ADD(scratch[3],scratch[1],scratch[2]);
- C_SUB(scratch[0],scratch[1],scratch[2]);
- tw1 += fstride;
- tw2 += fstride*2;
+ C_ADD(scratch[3],scratch[1],scratch[2]);
+ C_SUB(scratch[0],scratch[1],scratch[2]);
+ tw1 += fstride;
+ tw2 += fstride*2;
- Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
- Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
+ Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
+ Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
- C_MULBYSCALAR( scratch[0] , epi3.i );
+ C_MULBYSCALAR( scratch[0] , epi3.i );
- C_ADDTO(*Fout,scratch[3]);
+ C_ADDTO(*Fout,scratch[3]);
- Fout[m2].r = Fout[m].r + scratch[0].i;
- Fout[m2].i = Fout[m].i - scratch[0].r;
+ Fout[m2].r = Fout[m].r + scratch[0].i;
+ Fout[m2].i = Fout[m].i - scratch[0].r;
- Fout[m].r -= scratch[0].i;
- Fout[m].i += scratch[0].r;
+ Fout[m].r -= scratch[0].i;
+ Fout[m].i += scratch[0].r;
- ++Fout;
- }while(--k);
+ ++Fout;
+ } while(--k);
+ }
}
static void ki_bfly3(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
- size_t m
+ size_t m,
+ int N,
+ int mm
)
{
- size_t k=m;
+ size_t i, k;
const size_t m2 = 2*m;
kiss_twiddle_cpx *tw1,*tw2;
kiss_fft_cpx scratch[5];
kiss_twiddle_cpx epi3;
- epi3 = st->twiddles[fstride*m];
- tw1=tw2=st->twiddles;
- do{
+ kiss_fft_cpx * Fout_beg = Fout;
+ epi3 = st->twiddles[fstride*m];
+ for (i=0;i<N;i++)
+ {
+ Fout = Fout_beg + i*mm;
+ tw1=tw2=st->twiddles;
+ k=m;
+ do{
- C_MULC(scratch[1],Fout[m] , *tw1);
- C_MULC(scratch[2],Fout[m2] , *tw2);
+ C_MULC(scratch[1],Fout[m] , *tw1);
+ C_MULC(scratch[2],Fout[m2] , *tw2);
- C_ADD(scratch[3],scratch[1],scratch[2]);
- C_SUB(scratch[0],scratch[1],scratch[2]);
- tw1 += fstride;
- tw2 += fstride*2;
+ C_ADD(scratch[3],scratch[1],scratch[2]);
+ C_SUB(scratch[0],scratch[1],scratch[2]);
+ tw1 += fstride;
+ tw2 += fstride*2;
- Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
- Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
+ Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
+ Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
- C_MULBYSCALAR( scratch[0] , -epi3.i );
+ C_MULBYSCALAR( scratch[0] , -epi3.i );
- C_ADDTO(*Fout,scratch[3]);
+ C_ADDTO(*Fout,scratch[3]);
- Fout[m2].r = Fout[m].r + scratch[0].i;
- Fout[m2].i = Fout[m].i - scratch[0].r;
+ Fout[m2].r = Fout[m].r + scratch[0].i;
+ Fout[m2].i = Fout[m].i - scratch[0].r;
- Fout[m].r -= scratch[0].i;
- Fout[m].i += scratch[0].r;
+ Fout[m].r -= scratch[0].i;
+ Fout[m].i += scratch[0].r;
- ++Fout;
- }while(--k);
+ ++Fout;
+ }while(--k);
+ }
}
@@ -281,60 +298,68 @@ static void kf_bfly5(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
- int m
+ int m,
+ int N,
+ int mm
)
{
kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4;
- int u;
+ int i, u;
kiss_fft_cpx scratch[13];
kiss_twiddle_cpx * twiddles = st->twiddles;
kiss_twiddle_cpx *tw;
kiss_twiddle_cpx ya,yb;
+ kiss_fft_cpx * Fout_beg = Fout;
+
ya = twiddles[fstride*m];
yb = twiddles[fstride*2*m];
+ tw=st->twiddles;
- Fout0=Fout;
- Fout1=Fout0+m;
- Fout2=Fout0+2*m;
- Fout3=Fout0+3*m;
- Fout4=Fout0+4*m;
+ for (i=0;i<N;i++)
+ {
+ Fout = Fout_beg + i*mm;
+ Fout0=Fout;
+ Fout1=Fout0+m;
+ Fout2=Fout0+2*m;
+ Fout3=Fout0+3*m;
+ Fout4=Fout0+4*m;
- tw=st->twiddles;
- for ( u=0; u<m; ++u ) {
- C_FIXDIV( *Fout0,5); C_FIXDIV( *Fout1,5); C_FIXDIV( *Fout2,5); C_FIXDIV( *Fout3,5); C_FIXDIV( *Fout4,5);
- scratch[0] = *Fout0;
+ for ( u=0; u<m; ++u ) {
+ C_FIXDIV( *Fout0,5); C_FIXDIV( *Fout1,5); C_FIXDIV( *Fout2,5); C_FIXDIV( *Fout3,5); C_FIXDIV( *Fout4,5);
+ scratch[0] = *Fout0;
- C_MUL(scratch[1] ,*Fout1, tw[u*fstride]);
- C_MUL(scratch[2] ,*Fout2, tw[2*u*fstride]);
- C_MUL(scratch[3] ,*Fout3, tw[3*u*fstride]);
- C_MUL(scratch[4] ,*Fout4, tw[4*u*fstride]);
+ C_MUL(scratch[1] ,*Fout1, tw[u*fstride]);
+ C_MUL(scratch[2] ,*Fout2, tw[2*u*fstride]);
+ C_MUL(scratch[3] ,*Fout3, tw[3*u*fstride]);
+ C_MUL(scratch[4] ,*Fout4, tw[4*u*fstride]);
- C_ADD( scratch[7],scratch[1],scratch[4]);
- C_SUB( scratch[10],scratch[1],scratch[4]);
- C_ADD( scratch[8],scratch[2],scratch[3]);
- C_SUB( scratch[9],scratch[2],scratch[3]);
+ C_ADD( scratch[7],scratch[1],scratch[4]);
+ C_SUB( scratch[10],scratch[1],scratch[4]);
+ C_ADD( scratch[8],scratch[2],scratch[3]);
+ C_SUB( scratch[9],scratch[2],scratch[3]);
- Fout0->r += scratch[7].r + scratch[8].r;
- Fout0->i += scratch[7].i + scratch[8].i;
+ Fout0->r += scratch[7].r + scratch[8].r;
+ Fout0->i += scratch[7].i + scratch[8].i;
- scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
- scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
+ scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
+ scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
- scratch[6].r = S_MUL(scratch[10].i,ya.i) + S_MUL(scratch[9].i,yb.i);
- scratch[6].i = -S_MUL(scratch[10].r,ya.i) - S_MUL(scratch[9].r,yb.i);
+ scratch[6].r = S_MUL(scratch[10].i,ya.i) + S_MUL(scratch[9].i,yb.i);
+ scratch[6].i = -S_MUL(scratch[10].r,ya.i) - S_MUL(scratch[9].r,yb.i);
- C_SUB(*Fout1,scratch[5],scratch[6]);
- C_ADD(*Fout4,scratch[5],scratch[6]);
+ C_SUB(*Fout1,scratch[5],scratch[6]);
+ C_ADD(*Fout4,scratch[5],scratch[6]);
- scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
- scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
- scratch[12].r = - S_MUL(scratch[10].i,yb.i) + S_MUL(scratch[9].i,ya.i);
- scratch[12].i = S_MUL(scratch[10].r,yb.i) - S_MUL(scratch[9].r,ya.i);
+ scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
+ scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
+ scratch[12].r = - S_MUL(scratch[10].i,yb.i) + S_MUL(scratch[9].i,ya.i);
+ scratch[12].i = S_MUL(scratch[10].r,yb.i) - S_MUL(scratch[9].r,ya.i);
- C_ADD(*Fout2,scratch[11],scratch[12]);
- C_SUB(*Fout3,scratch[11],scratch[12]);
+ C_ADD(*Fout2,scratch[11],scratch[12]);
+ C_SUB(*Fout3,scratch[11],scratch[12]);
- ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
+ ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
+ }
}
}
@@ -342,137 +367,70 @@ static void ki_bfly5(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
- int m
+ int m,
+ int N,
+ int mm
)
{
kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4;
- int u;
+ int i, u;
kiss_fft_cpx scratch[13];
kiss_twiddle_cpx * twiddles = st->twiddles;
kiss_twiddle_cpx *tw;
kiss_twiddle_cpx ya,yb;
+ kiss_fft_cpx * Fout_beg = Fout;
+
ya = twiddles[fstride*m];
yb = twiddles[fstride*2*m];
-
- Fout0=Fout;
- Fout1=Fout0+m;
- Fout2=Fout0+2*m;
- Fout3=Fout0+3*m;
- Fout4=Fout0+4*m;
-
tw=st->twiddles;
- for ( u=0; u<m; ++u ) {
- scratch[0] = *Fout0;
- C_MULC(scratch[1] ,*Fout1, tw[u*fstride]);
- C_MULC(scratch[2] ,*Fout2, tw[2*u*fstride]);
- C_MULC(scratch[3] ,*Fout3, tw[3*u*fstride]);
- C_MULC(scratch[4] ,*Fout4, tw[4*u*fstride]);
+ for (i=0;i<N;i++)
+ {
+ Fout = Fout_beg + i*mm;
+ Fout0=Fout;
+ Fout1=Fout0+m;
+ Fout2=Fout0+2*m;
+ Fout3=Fout0+3*m;
+ Fout4=Fout0+4*m;
- C_ADD( scratch[7],scratch[1],scratch[4]);
- C_SUB( scratch[10],scratch[1],scratch[4]);
- C_ADD( scratch[8],scratch[2],scratch[3]);
- C_SUB( scratch[9],scratch[2],scratch[3]);
+ for ( u=0; u<m; ++u ) {
+ scratch[0] = *Fout0;
- Fout0->r += scratch[7].r + scratch[8].r;
- Fout0->i += scratch[7].i + scratch[8].i;
+ C_MULC(scratch[1] ,*Fout1, tw[u*fstride]);
+ C_MULC(scratch[2] ,*Fout2, tw[2*u*fstride]);
+ C_MULC(scratch[3] ,*Fout3, tw[3*u*fstride]);
+ C_MULC(scratch[4] ,*Fout4, tw[4*u*fstride]);
- scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
- scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
+ C_ADD( scratch[7],scratch[1],scratch[4]);
+ C_SUB( scratch[10],scratch[1],scratch[4]);
+ C_ADD( scratch[8],scratch[2],scratch[3]);
+ C_SUB( scratch[9],scratch[2],scratch[3]);
- scratch[6].r = -S_MUL(scratch[10].i,ya.i) - S_MUL(scratch[9].i,yb.i);
- scratch[6].i = S_MUL(scratch[10].r,ya.i) + S_MUL(scratch[9].r,yb.i);
+ Fout0->r += scratch[7].r + scratch[8].r;
+ Fout0->i += scratch[7].i + scratch[8].i;
- C_SUB(*Fout1,scratch[5],scratch[6]);
- C_ADD(*Fout4,scratch[5],scratch[6]);
+ scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
+ scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
- scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
- scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
- scratch[12].r = S_MUL(scratch[10].i,yb.i) - S_MUL(scratch[9].i,ya.i);
- scratch[12].i = -S_MUL(scratch[10].r,yb.i) + S_MUL(scratch[9].r,ya.i);
+ scratch[6].r = -S_MUL(scratch[10].i,ya.i) - S_MUL(scratch[9].i,yb.i);
+ scratch[6].i = S_MUL(scratch[10].r,ya.i) + S_MUL(scratch[9].r,yb.i);
- C_ADD(*Fout2,scratch[11],scratch[12]);
- C_SUB(*Fout3,scratch[11],scratch[12]);
+ C_SUB(*Fout1,scratch[5],scratch[6]);
+ C_ADD(*Fout4,scratch[5],scratch[6]);
- ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
- }
-}
+ scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
+ scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
+ scratch[12].r = S_MUL(scratch[10].i,yb.i) - S_MUL(scratch[9].i,ya.i);
+ scratch[12].i = -S_MUL(scratch[10].r,yb.i) + S_MUL(scratch[9].r,ya.i);
-/* perform the butterfly for one stage of a mixed radix FFT */
-static void kf_bfly_generic(
- kiss_fft_cpx * Fout,
- const size_t fstride,
- const kiss_fft_cfg st,
- int m,
- int p
- )
-{
- int u,k,q1,q;
- kiss_twiddle_cpx * twiddles = st->twiddles;
- kiss_fft_cpx t;
- VARDECL(kiss_fft_cpx, scratchbuf);
- int Norig = st->nfft;
- ALLOC(scratchbuf, p, kiss_fft_cpx);
-
- for ( u=0; u<m; ++u ) {
- k=u;
- for ( q1=0 ; q1<p ; ++q1 ) {
- scratchbuf[q1] = Fout[ k ];
- C_FIXDIV(scratchbuf[q1],p);
- k += m;
- }
+ C_ADD(*Fout2,scratch[11],scratch[12]);
+ C_SUB(*Fout3,scratch[11],scratch[12]);
- k=u;
- for ( q1=0 ; q1<p ; ++q1 ) {
- int twidx=0;
- Fout[ k ] = scratchbuf[0];
- for (q=1;q<p;++q ) {
- twidx += fstride * k;
- if (twidx>=Norig) twidx-=Norig;
- C_MUL(t,scratchbuf[q] , twiddles[twidx] );
- C_ADDTO( Fout[ k ] ,t);
- }
- k += m;
+ ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
}
}
}
-static void ki_bfly_generic(
- kiss_fft_cpx * Fout,
- const size_t fstride,
- const kiss_fft_cfg st,
- int m,
- int p
- )
-{
- int u,k,q1,q;
- kiss_twiddle_cpx * twiddles = st->twiddles;
- kiss_fft_cpx t;
- VARDECL(kiss_fft_cpx, scratchbuf);
- int Norig = st->nfft;
- ALLOC(scratchbuf, p, kiss_fft_cpx);
-
- for ( u=0; u<m; ++u ) {
- k=u;
- for ( q1=0 ; q1<p ; ++q1 ) {
- scratchbuf[q1] = Fout[ k ];
- k += m;
- }
-
- k=u;
- for ( q1=0 ; q1<p ; ++q1 ) {
- int twidx=0;
- Fout[ k ] = scratchbuf[0];
- for (q=1;q<p;++q ) {
- twidx += fstride * k;
- if (twidx>=Norig) twidx-=Norig;
- C_MULC(t,scratchbuf[q] , twiddles[twidx] );
- C_ADDTO( Fout[ k ] ,t);
- }
- k += m;
- }
- }
-}
#endif
static
@@ -521,10 +479,6 @@ void kf_work(
int m2
)
{
-#ifndef RADIX_TWO_ONLY
- int i;
- kiss_fft_cpx * Fout_beg=Fout;
-#endif
const int p=*factors++; /* the radix */
const int m=*factors++; /* stage's fft length/p */
/*printf ("fft %d %d %d %d %d %d %d\n", p*m, m, p, s2, fstride*in_stride, N, m2);*/
@@ -535,9 +489,8 @@ void kf_work(
case 2: kf_bfly2(Fout,fstride,st,m, N, m2); break;
case 4: kf_bfly4(Fout,fstride,st,m, N, m2); break;
#ifndef RADIX_TWO_ONLY
- case 3: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; kf_bfly3(Fout,fstride,st,m);} break;
- case 5: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; kf_bfly5(Fout,fstride,st,m);} break;
- default: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; kf_bfly_generic(Fout,fstride,st,m,p);} break;
+ case 3: kf_bfly3(Fout,fstride,st,m, N, m2); break;
+ case 5: kf_bfly5(Fout,fstride,st,m, N, m2); break;
#else
default: celt_fatal("kiss_fft: only powers of two enabled");
#endif
@@ -557,10 +510,6 @@ void ki_work(
int m2
)
{
-#ifndef RADIX_TWO_ONLY
- int i;
- kiss_fft_cpx * Fout_beg=Fout;
-#endif
const int p=*factors++; /* the radix */
const int m=*factors++; /* stage's fft length/p */
/*printf ("fft %d %d %d %d %d %d %d\n", p*m, m, p, s2, fstride*in_stride, N, m2);*/
@@ -571,9 +520,8 @@ void ki_work(
case 2: ki_bfly2(Fout,fstride,st,m, N, m2); break;
case 4: ki_bfly4(Fout,fstride,st,m, N, m2); break;
#ifndef RADIX_TWO_ONLY
- case 3: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; ki_bfly3(Fout,fstride,st,m);} break;
- case 5: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; ki_bfly5(Fout,fstride,st,m);} break;
- default: for (i=0;i<N;i++){Fout=Fout_beg+i*m2; ki_bfly_generic(Fout,fstride,st,m,p);} break;
+ case 3: ki_bfly3(Fout,fstride,st,m, N, m2); break;
+ case 5: ki_bfly5(Fout,fstride,st,m, N, m2); break;
#else
default: celt_fatal("kiss_fft: only powers of two enabled");
#endif
@@ -585,7 +533,7 @@ void ki_work(
p[i] * m[i] = m[i-1]
m0 = n */
static
-void kf_factor(int n,int * facbuf)
+int kf_factor(int n,int * facbuf)
{
int p=4;
@@ -601,9 +549,15 @@ void kf_factor(int n,int * facbuf)
p = n; /* no more factors, skip to end */
}
n /= p;
+ if (p>5)
+ {
+ celt_warning("Only powers of 2, 3 and 5 are supported");
+ return 0;
+ }
*facbuf++ = p;
*facbuf++ = n;
} while (n > 1);
+ return 1;
}
/*
*
@@ -643,7 +597,11 @@ kiss_fft_cfg kiss_fft_alloc(int nfft,void * mem,size_t * lenmem )
kf_cexp(st->twiddles+i, phase );
}
#endif
- kf_factor(nfft,st->factors);
+ if (!kf_factor(nfft,st->factors))
+ {
+ kiss_fft_free(st);
+ return NULL;
+ }
/* bitrev */
st->bitrev = (int*)((char*)st + memneeded - sizeof(int)*nfft);