svn path=/trunk/; revision=12907

1 files changed, 0 insertions, 422 deletions

diff --git a/desiredata/src/d_mayer_fft.c b/desiredata/src/d_mayer_fft.c
deleted file mode 100644
index 563f02ba..00000000
--- a/desiredata/src/d_mayer_fft.c
+++ /dev/null
@@ -1,422 +0,0 @@
-/*
-** FFT and FHT routines
-**  Copyright 1988, 1993; Ron Mayer
-**  
-**  mayer_fht(fz,n);
-**      Does a hartley transform of "n" points in the array "fz".
-**  mayer_fft(n,real,imag)
-**      Does a fourier transform of "n" points of the "real" and
-**      "imag" arrays.
-**  mayer_ifft(n,real,imag)
-**      Does an inverse fourier transform of "n" points of the "real"
-**      and "imag" arrays.
-**  mayer_realfft(n,real)
-**      Does a real-valued fourier transform of "n" points of the
-**      "real" array.  The real part of the transform ends
-**      up in the first half of the array and the imaginary part of the
-**      transform ends up in the second half of the array.
-**  mayer_realifft(n,real)
-**      The inverse of the realfft() routine above.
-**      
-**      
-** NOTE: This routine uses at least 2 patented algorithms, and may be
-**       under the restrictions of a bunch of different organizations.
-**       Although I wrote it completely myself, it is kind of a derivative
-**       of a routine I once authored and released under the GPL, so it
-**       may fall under the free software foundation's restrictions;
-**       it was worked on as a Stanford Univ project, so they claim
-**       some rights to it; it was further optimized at work here, so
-**       I think this company claims parts of it.  The patents are
-**       held by R. Bracewell (the FHT algorithm) and O. Buneman (the
-**       trig generator), both at Stanford Univ.
-**       If it were up to me, I'd say go do whatever you want with it;
-**       but it would be polite to give credit to the following people
-**       if you use this anywhere:
-**           Euler     - probable inventor of the fourier transform.
-**           Gauss     - probable inventor of the FFT.
-**           Hartley   - probable inventor of the hartley transform.
-**           Buneman   - for a really cool trig generator
-**           Mayer(me) - for authoring this particular version and
-**                       including all the optimizations in one package.
-**       Thanks,
-**       Ron Mayer; mayer@acuson.com
-**
-*/
-
-/* This is a slightly modified version of Mayer's contribution; write
-* msp@ucsd.edu for the original code.  Kudos to Mayer for a fine piece
-* of work.  -msp
-*/
-
-#ifdef MSW
-#pragma warning( disable : 4305 )  /* uncast const double to float */
-#pragma warning( disable : 4244 )  /* uncast double to float */
-#pragma warning( disable : 4101 )  /* unused local variables */
-#endif
-
-/* the following is needed only to declare pd_fft() as exportable in MSW */
-#include "m_pd.h"
-
-#define REAL float
-#define GOOD_TRIG
-
-#ifdef GOOD_TRIG
-#else
-#define FAST_TRIG
-#endif
-
-#if defined(GOOD_TRIG)
-#define FHT_SWAP(a,b,t) {(t)=(a);(a)=(b);(b)=(t);}
-#define TRIG_VARS                                                \
-      int t_lam=0;
-#define TRIG_INIT(k,c,s)                                         \
-     {                                                           \
-      int i;                                                     \
-      for (i=2 ; i<=k ; i++)                                     \
-          {coswrk[i]=costab[i];sinwrk[i]=sintab[i];}             \
-      t_lam = 0;                                                 \
-      c = 1;                                                     \
-      s = 0;                                                     \
-     }
-#define TRIG_NEXT(k,c,s)                                         \
-     {                                                           \
-         int i,j;                                                \
-         (t_lam)++;                                              \
-         for (i=0 ; !((1<<i)&t_lam) ; i++);                      \
-         i = k-i;                                                \
-         s = sinwrk[i];                                          \
-         c = coswrk[i];                                          \
-         if (i>1)                                                \
-            {                                                    \
-             for (j=k-i+2 ; (1<<j)&t_lam ; j++);                 \
-             j         = k - j;                                  \
-             sinwrk[i] = halsec[i] * (sinwrk[i-1] + sinwrk[j]);  \
-             coswrk[i] = halsec[i] * (coswrk[i-1] + coswrk[j]);  \
-            }                                                    \
-     }
-#define TRIG_RESET(k,c,s)
-#endif
-
-#if defined(FAST_TRIG)
-#define TRIG_VARS                                        \
-      REAL t_c,t_s;
-#define TRIG_INIT(k,c,s)                                 \
-    {                                                    \
-     t_c  = costab[k];                                   \
-     t_s  = sintab[k];                                   \
-     c    = 1;                                           \
-     s    = 0;                                           \
-    }
-#define TRIG_NEXT(k,c,s)                                 \
-    {                                                    \
-     REAL t = c;                                         \
-     c   = t*t_c - s*t_s;                                \
-     s   = t*t_s + s*t_c;                                \
-    }
-#define TRIG_RESET(k,c,s)
-#endif
-
-static REAL halsec[20]=
-    {
-     0,
-     0,
-     .54119610014619698439972320536638942006107206337801,
-     .50979557910415916894193980398784391368261849190893,
-     .50241928618815570551167011928012092247859337193963,
-     .50060299823519630134550410676638239611758632599591,
-     .50015063602065098821477101271097658495974913010340,
-     .50003765191554772296778139077905492847503165398345,
-     .50000941253588775676512870469186533538523133757983,
-     .50000235310628608051401267171204408939326297376426,
-     .50000058827484117879868526730916804925780637276181,
-     .50000014706860214875463798283871198206179118093251,
-     .50000003676714377807315864400643020315103490883972,
-     .50000000919178552207366560348853455333939112569380,
-     .50000000229794635411562887767906868558991922348920,
-     .50000000057448658687873302235147272458812263401372
-    };
-static REAL costab[20]=
-    {
-     .00000000000000000000000000000000000000000000000000,
-     .70710678118654752440084436210484903928483593768847,
-     .92387953251128675612818318939678828682241662586364,
-     .98078528040323044912618223613423903697393373089333,
-     .99518472667219688624483695310947992157547486872985,
-     .99879545620517239271477160475910069444320361470461,
-     .99969881869620422011576564966617219685006108125772,
-     .99992470183914454092164649119638322435060646880221,
-     .99998117528260114265699043772856771617391725094433,
-     .99999529380957617151158012570011989955298763362218,
-     .99999882345170190992902571017152601904826792288976,
-     .99999970586288221916022821773876567711626389934930,
-     .99999992646571785114473148070738785694820115568892,
-     .99999998161642929380834691540290971450507605124278,
-     .99999999540410731289097193313960614895889430318945,
-     .99999999885102682756267330779455410840053741619428
-    };
-static REAL sintab[20]=
-    {
-     1.0000000000000000000000000000000000000000000000000,
-     .70710678118654752440084436210484903928483593768846,
-     .38268343236508977172845998403039886676134456248561,
-     .19509032201612826784828486847702224092769161775195,
-     .09801714032956060199419556388864184586113667316749,
-     .04906767432741801425495497694268265831474536302574,
-     .02454122852291228803173452945928292506546611923944,
-     .01227153828571992607940826195100321214037231959176,
-     .00613588464915447535964023459037258091705788631738,
-     .00306795676296597627014536549091984251894461021344,
-     .00153398018628476561230369715026407907995486457522,
-     .00076699031874270452693856835794857664314091945205,
-     .00038349518757139558907246168118138126339502603495,
-     .00019174759731070330743990956198900093346887403385,
-     .00009587379909597734587051721097647635118706561284,
-     .00004793689960306688454900399049465887274686668768
-    };
-static REAL coswrk[20]=
-    {
-     .00000000000000000000000000000000000000000000000000,
-     .70710678118654752440084436210484903928483593768847,
-     .92387953251128675612818318939678828682241662586364,
-     .98078528040323044912618223613423903697393373089333,
-     .99518472667219688624483695310947992157547486872985,
-     .99879545620517239271477160475910069444320361470461,
-     .99969881869620422011576564966617219685006108125772,
-     .99992470183914454092164649119638322435060646880221,
-     .99998117528260114265699043772856771617391725094433,
-     .99999529380957617151158012570011989955298763362218,
-     .99999882345170190992902571017152601904826792288976,
-     .99999970586288221916022821773876567711626389934930,
-     .99999992646571785114473148070738785694820115568892,
-     .99999998161642929380834691540290971450507605124278,
-     .99999999540410731289097193313960614895889430318945,
-     .99999999885102682756267330779455410840053741619428
-    };
-static REAL sinwrk[20]=
-    {
-     1.0000000000000000000000000000000000000000000000000,
-     .70710678118654752440084436210484903928483593768846,
-     .38268343236508977172845998403039886676134456248561,
-     .19509032201612826784828486847702224092769161775195,
-     .09801714032956060199419556388864184586113667316749,
-     .04906767432741801425495497694268265831474536302574,
-     .02454122852291228803173452945928292506546611923944,
-     .01227153828571992607940826195100321214037231959176,
-     .00613588464915447535964023459037258091705788631738,
-     .00306795676296597627014536549091984251894461021344,
-     .00153398018628476561230369715026407907995486457522,
-     .00076699031874270452693856835794857664314091945205,
-     .00038349518757139558907246168118138126339502603495,
-     .00019174759731070330743990956198900093346887403385,
-     .00009587379909597734587051721097647635118706561284,
-     .00004793689960306688454900399049465887274686668768
-    };
-
-
-#define SQRT2_2   0.70710678118654752440084436210484
-#define SQRT2   2*0.70710678118654752440084436210484
-
-void mayer_fht(REAL *fz, int n)
-{
-/*  REAL a,b;
-REAL c1,s1,s2,c2,s3,c3,s4,c4;
- REAL f0,g0,f1,g1,f2,g2,f3,g3; */
- int  k,k1,k2,k3,k4,kx;
- REAL *fi,*fn,*gi;
- TRIG_VARS;
-
- for (k1=1,k2=0;k1<n;k1++)
-    {
-     REAL aa;
-     for (k=n>>1; (!((k2^=k)&k)); k>>=1) {}
-     if (k1>k2)
-        {
-             aa=fz[k1];fz[k1]=fz[k2];fz[k2]=aa;
-        }
-    }
- for ( k=0 ; (1<<k)<n ; k++ ) {}
- k  &= 1;
- if (k==0)
-    {
-         for (fi=fz,fn=fz+n;fi<fn;fi+=4)
-            {
-             REAL f0,f1,f2,f3;
-             f1     = fi[0 ]-fi[1 ];
-             f0     = fi[0 ]+fi[1 ];
-             f3     = fi[2 ]-fi[3 ];
-             f2     = fi[2 ]+fi[3 ];
-             fi[2 ] = (f0-f2);  
-             fi[0 ] = (f0+f2);
-             fi[3 ] = (f1-f3);  
-             fi[1 ] = (f1+f3);
-            }
-    }
- else
-    {
-         for (fi=fz,fn=fz+n,gi=fi+1;fi<fn;fi+=8,gi+=8)
-            {
-             REAL bs1,bc1,bs2,bc2,bs3,bc3,bs4,bc4,
-                bg0,bf0,bf1,bg1,bf2,bg2,bf3,bg3;
-             bc1     = fi[0 ] - gi[0 ];
-             bs1     = fi[0 ] + gi[0 ];
-             bc2     = fi[2 ] - gi[2 ];
-             bs2     = fi[2 ] + gi[2 ];
-             bc3     = fi[4 ] - gi[4 ];
-             bs3     = fi[4 ] + gi[4 ];
-             bc4     = fi[6 ] - gi[6 ];
-             bs4     = fi[6 ] + gi[6 ];
-             bf1     = (bs1 - bs2);     
-             bf0     = (bs1 + bs2);
-             bg1     = (bc1 - bc2);     
-             bg0     = (bc1 + bc2);
-             bf3     = (bs3 - bs4);     
-             bf2     = (bs3 + bs4);
-             bg3     = SQRT2*bc4;               
-             bg2     = SQRT2*bc3;
-             fi[4 ] = bf0 - bf2;
-             fi[0 ] = bf0 + bf2;
-             fi[6 ] = bf1 - bf3;
-             fi[2 ] = bf1 + bf3;
-             gi[4 ] = bg0 - bg2;
-             gi[0 ] = bg0 + bg2;
-             gi[6 ] = bg1 - bg3;
-             gi[2 ] = bg1 + bg3;
-            }
-    }
- if (n<16) return;
-
- do
-    {
-     REAL s1,c1;
-     int ii;
-     k  += 2;
-     k1  = 1  << k;
-     k2  = k1 << 1;
-     k4  = k2 << 1;
-     k3  = k2 + k1;
-     kx  = k1 >> 1;
-         fi  = fz;
-         gi  = fi + kx;
-         fn  = fz + n;
-         do
-            {
-             REAL g0,f0,f1,g1,f2,g2,f3,g3;
-             f1      = fi[0 ] - fi[k1];
-             f0      = fi[0 ] + fi[k1];
-             f3      = fi[k2] - fi[k3];
-             f2      = fi[k2] + fi[k3];
-             fi[k2]  = f0         - f2;
-             fi[0 ]  = f0         + f2;
-             fi[k3]  = f1         - f3;
-             fi[k1]  = f1         + f3;
-             g1      = gi[0 ] - gi[k1];
-             g0      = gi[0 ] + gi[k1];
-             g3      = SQRT2  * gi[k3];
-             g2      = SQRT2  * gi[k2];
-             gi[k2]  = g0         - g2;
-             gi[0 ]  = g0         + g2;
-             gi[k3]  = g1         - g3;
-             gi[k1]  = g1         + g3;
-             gi     += k4;
-             fi     += k4;
-            } while (fi<fn);
-     TRIG_INIT(k,c1,s1);
-     for (ii=1;ii<kx;ii++)
-        {
-         REAL c2,s2;
-         TRIG_NEXT(k,c1,s1);
-         c2 = c1*c1 - s1*s1;
-         s2 = 2*(c1*s1);
-             fn = fz + n;
-             fi = fz +ii;
-             gi = fz +k1-ii;
-             do
-                {
-                 REAL a,b,g0,f0,f1,g1,f2,g2,f3,g3;
-                 b       = s2*fi[k1] - c2*gi[k1];
-                 a       = c2*fi[k1] + s2*gi[k1];
-                 f1      = fi[0 ]    - a;
-                 f0      = fi[0 ]    + a;
-                 g1      = gi[0 ]    - b;
-                 g0      = gi[0 ]    + b;
-                 b       = s2*fi[k3] - c2*gi[k3];
-                 a       = c2*fi[k3] + s2*gi[k3];
-                 f3      = fi[k2]    - a;
-                 f2      = fi[k2]    + a;
-                 g3      = gi[k2]    - b;
-                 g2      = gi[k2]    + b;
-                 b       = s1*f2     - c1*g3;
-                 a       = c1*f2     + s1*g3;
-                 fi[k2]  = f0        - a;
-                 fi[0 ]  = f0        + a;
-                 gi[k3]  = g1        - b;
-                 gi[k1]  = g1        + b;
-                 b       = c1*g2     - s1*f3;
-                 a       = s1*g2     + c1*f3;
-                 gi[k2]  = g0        - a;
-                 gi[0 ]  = g0        + a;
-                 fi[k3]  = f1        - b;
-                 fi[k1]  = f1        + b;
-                 gi     += k4;
-                 fi     += k4;
-                } while (fi<fn);
-        }
-     TRIG_RESET(k,c1,s1);
-    } while (k4<n);
-}
-
-void mayer_fft(int n, REAL *real, REAL *imag)
-{
- REAL a,b,c,d;
- REAL q,r,s,t;
- int i,j,k;
- for (i=1,j=n-1,k=n/2;i<k;i++,j--) {
-  a = real[i]; b = real[j];  q=a+b; r=a-b;
-  c = imag[i]; d = imag[j];  s=c+d; t=c-d;
-  real[i] = (q+t)*.5; real[j] = (q-t)*.5;
-  imag[i] = (s-r)*.5; imag[j] = (s+r)*.5;
- }
- mayer_fht(real,n);
- mayer_fht(imag,n);
-}
-
-void mayer_ifft(int n, REAL *real, REAL *imag)
-{
- REAL a,b,c,d;
- REAL q,r,s,t;
- int i,j,k;
- mayer_fht(real,n);
- mayer_fht(imag,n);
- for (i=1,j=n-1,k=n/2;i<k;i++,j--) {
-  a = real[i]; b = real[j];  q=a+b; r=a-b;
-  c = imag[i]; d = imag[j];  s=c+d; t=c-d;
-  imag[i] = (s+r)*0.5;  imag[j] = (s-r)*0.5;
-  real[i] = (q-t)*0.5;  real[j] = (q+t)*0.5;
- }
-}
-
-void mayer_realfft(int n, REAL *real)
-{
- REAL a,b;
- int i,j,k;
- mayer_fht(real,n);
- for (i=1,j=n-1,k=n/2;i<k;i++,j--) {
-  a = real[i];
-  b = real[j];
-  real[j] = (a-b)*0.5;
-  real[i] = (a+b)*0.5;
- }
-}
-
-void mayer_realifft(int n, REAL *real)
-{
- REAL a,b;
- int i,j,k;
- for (i=1,j=n-1,k=n/2;i<k;i++,j--) {
-  a = real[i];
-  b = real[j];
-  real[j] = (a-b);
-  real[i] = (a+b);
- }
- mayer_fht(real,n);
-}