23char cftcossinsp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cftcossinsp.C,v 1.3 2014/10/13 08:53:19 j_novak Exp $" ;
134fftw_plan prepare_fft(
int, Tbl*&) ;
135double* cheb_ini(
const int) ;
136double* chebimp_ini(
const int ) ;
139void cftcossinsp(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
158 cout <<
"cftcossinsp: nt > n2f : nt = " << nt <<
" , n2f = "
164 cout <<
"cftcossinsp: nt > n2c : nt = " << nt <<
" , n2c = "
170 cout <<
"cftcossinsp: n1f > n1c : n1f = " << n1f <<
" , n1c = "
176 cout <<
"cftcossinsp: n3f > n3c : n3f = " << n3f <<
" , n3c = "
188 fftw_plan p = prepare_fft(nm1, pg) ;
192 double* sinp = cheb_ini(nt);
195 double* x = chebimp_ini(nt);
200 int n2n3f = n2f * n3f ;
201 int n2n3c = n2c * n3c ;
216 for (k=0; k<n3f; k++) {
218 int i0 = n2n3f * j + k ;
219 double* ff0 = ff + i0 ;
222 double* cf0 = cf + i0 ;
231 for ( i = 1; i < nm1s2 ; i++ ) {
237 int ixsym = n3f * isym ;
239 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
241 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
242 g.set(i) = fps + fm ;
243 g.set(isym) = fps - fm ;
246 g.set(0) = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
247 g.set(nm1s2) = ff0[ n3f*nm1s2 ] ;
259 double fac = 2./double(nm1) ;
261 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -fac * g(nm1 - i/2);
272 cf0[n3c] = fac * g(0) ;
274 for ( i = 3; i < nt; i += 2 ) {
275 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + fac * g(i/2) ;
286 if ( (j != 1) && (j != n1f-1 ) ) {
290 for (k=0; k<n3f; k++) {
292 int i0 = n2n3f * j + k ;
293 double* ff0 = ff + i0 ;
296 double* cf0 = cf + i0 ;
305 for ( i = 1; i < nm1s2 ; i++ ) {
311 int ixsym = n3f * isym ;
313 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
315 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
316 g.set(i) = fps + fm ;
317 g.set(isym) = fps - fm ;
320 g.set(0) = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
321 g.set(nm1s2) = ff0[ n3f*nm1s2 ] ;
333 double fac = 2./double(nm1) ;
335 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -fac * g(nm1 - i/2);
346 cf0[n3c] = fac * g(0) ;
348 for ( i = 3; i < nt; i += 2 ) {
349 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + fac * g(i/2) ;
378 for (k=0; k<n3f; k++) {
380 int i0 = n2n3f * j + k ;
381 double* ff0 = ff + i0 ;
384 double* cf0 = cf + i0 ;
390 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
399 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
403 for ( i = 1; i < nm1s2 ; i++ ) {
409 int ixsym = n3c * isym ;
411 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
413 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
414 g.set(i) = fp + fms ;
415 g.set(isym) = fp - fms ;
418 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
419 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
433 double fac = 2./double(nm1) ;
434 cf0[0] = g(0) / double(nm1) ;
435 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
436 cf0[n3c*nm1] = g(nm1s2) ;
447 for ( i = 3; i < nt; i += 2 ) {
448 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
453 double c1 = ( fmoins0 - som ) / nm1s2 ;
457 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
464 for (i=1; i<nm1; i++) {
465 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;
481 for (k=0; k<n3f; k++) {
483 int i0 = n2n3f * j + k ;
484 double* ff0 = ff + i0 ;
487 double* cf0 = cf + i0 ;
493 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
502 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
506 for ( i = 1; i < nm1s2 ; i++ ) {
512 int ixsym = n3c * isym ;
514 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
516 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
517 g.set(i) = fp + fms ;
518 g.set(isym) = fp - fms ;
521 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
522 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
536 double fac = 2./double(nm1) ;
537 cf0[0] = g(0) / double(nm1) ;
538 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
539 cf0[n3c*nm1] = g(nm1s2) ;
550 for ( i = 3; i < nt; i += 2 ) {
551 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
556 double c1 = ( fmoins0 - som ) / nm1s2 ;
560 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
567 for (i=1; i<nm1; i++) {
568 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;