23char cftcossinci_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cftcossinci.C,v 1.3 2014/10/13 08:53:19 j_novak Exp $" ;
135fftw_plan prepare_fft(
int, Tbl*&) ;
136double* cheb_ini(
const int) ;
137double* chebimp_ini(
const int ) ;
140void cftcossinci(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
159 cout <<
"cftcossinci: nt > n2f : nt = " << nt <<
" , n2f = "
164 cout <<
"cftcossinci: nt > n2c : nt = " << nt <<
" , n2c = "
169 cout <<
"cftcossinci: n1f > n1c : n1f = " << n1f <<
" , n1c = "
174 cout <<
"cftcossinci: n3f > n3c : n3f = " << n3f <<
" , n3c = "
185 fftw_plan p = prepare_fft(nm1, pg) ;
189 double* sinp = cheb_ini(nt);
192 double* x = chebimp_ini(nt);
197 int n2n3f = n2f * n3f ;
198 int n2n3c = n2c * n3c ;
213 for (k=0; k<n3f; k++) {
215 int i0 = n2n3f * j + k ;
216 double* ff0 = ff + i0 ;
219 double* cf0 = cf + i0 ;
225 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
234 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
238 for ( i = 1; i < nm1s2 ; i++ ) {
244 int ixsym = n3c * isym ;
246 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
248 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
249 g.set(i) = fp + fms ;
250 g.set(isym) = fp - fms ;
253 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
254 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
268 double fac = 2./double(nm1) ;
269 cf0[0] = g(0) / double(nm1) ;
270 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
271 cf0[n3c*nm1] = g(nm1s2) ;
282 for ( i = 3; i < nt; i += 2 ) {
283 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
288 double c1 = ( fmoins0 - som ) / nm1s2 ;
292 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
299 for (i=1; i<nm1; i++) {
300 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;
313 if ( (j != 1) && (j != n1f-1 ) ) {
317 for (k=0; k<n3f; k++) {
319 int i0 = n2n3f * j + k ;
320 double* ff0 = ff + i0 ;
323 double* cf0 = cf + i0 ;
329 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
338 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
342 for ( i = 1; i < nm1s2 ; i++ ) {
348 int ixsym = n3c * isym ;
350 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
352 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
353 g.set(i) = fp + fms ;
354 g.set(isym) = fp - fms ;
357 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
358 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
372 double fac = 2./double(nm1) ;
373 cf0[0] = g(0) / double(nm1) ;
374 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
375 cf0[n3c*nm1] = g(nm1s2) ;
386 for ( i = 3; i < nt; i += 2 ) {
387 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
392 double c1 = ( fmoins0 - som ) / nm1s2 ;
396 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
403 for (i=1; i<nm1; i++) {
404 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;
434 for (k=0; k<n3f; k++) {
436 int i0 = n2n3f * j + k ;
437 double* ff0 = ff + i0 ;
440 double* cf0 = cf + i0 ;
449 for ( i = 1; i < nm1s2 ; i++ ) {
455 int ixsym = n3f * isym ;
457 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
459 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
460 g.set(i) = fps + fm ;
461 g.set(isym) = fps - fm ;
464 g.set(0) = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
465 g.set(nm1s2) = ff0[ n3f*nm1s2 ] ;
477 double fac = 2./double(nm1) ;
479 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -fac * g(nm1 - i/2);
490 cf0[n3c] = fac * g(0) ;
492 for ( i = 3; i < nt; i += 2 ) {
493 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + fac * g(i/2) ;
508 for (k=0; k<n3f; k++) {
510 int i0 = n2n3f * j + k ;
511 double* ff0 = ff + i0 ;
514 double* cf0 = cf + i0 ;
523 for ( i = 1; i < nm1s2 ; i++ ) {
529 int ixsym = n3f * isym ;
531 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
533 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
534 g.set(i) = fps + fm ;
535 g.set(isym) = fps - fm ;
538 g.set(0) = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
539 g.set(nm1s2) = ff0[ n3f*nm1s2 ] ;
552 double fac = 2./double(nm1) ;
554 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -fac * g(nm1 - i/2);
565 cf0[n3c] = fac * g(0) ;
567 for ( i = 3; i < nt; i += 2 ) {
568 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + fac * g(i/2) ;