23char cfrchebpimi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cfrchebpimi.C,v 1.3 2014/10/13 08:53:18 j_novak Exp $" ;
143fftw_plan prepare_fft(
int, Tbl*&) ;
144double* cheb_ini(
const int) ;
145double* chebimp_ini(
const int ) ;
149void cfrchebpimi(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
169 cout <<
"cfrchebpimi: nr > n3f : nr = " << nr <<
" , n3f = "
175 cout <<
"cfrchebpimi: nr > n3c : nr = " << nr <<
" , n3c = "
181 cout <<
"cfrchebpimi: n1f > n1c : n1f = " << n1f <<
" , n1c = "
187 cout <<
"cfrchebpimi: n2f > n2c : n2f = " << n2f <<
" , n2c = "
199 fftw_plan p = prepare_fft(nm1, pg) ;
203 double* sinp = cheb_ini(nr);
206 double* x = chebimp_ini(nr);
210 int n2n3f = n2f * n3f ;
211 int n2n3c = n2c * n3c ;
225 for (k=0; k<n2f; k++) {
227 int i0 = n2n3f * j + n3f * k ;
228 double* ff0 = ff + i0 ;
230 i0 = n2n3c * j + n3c * k ;
231 double* cf0 = cf + i0 ;
238 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
246 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
250 for ( i = 1; i < nm1s2 ; i++ ) {
256 int ixsym = nm1 - isym ;
259 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
261 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
262 g.set(i) = fp + fms ;
263 g.set(isym) = fp - fms ;
266 g.set(0) = 0.5 * ( cf0[nm1] + cf0[0] );
267 g.set(nm1s2) = cf0[nm1s2];
281 double fac = 2./double(nm1) ;
282 cf0[0] = g(0) / double(nm1) ;
283 for (i=2; i<nm1; i += 2 ) cf0[i] = fac * g(i/2) ;
284 cf0[nm1] = g(nm1s2) / double(nm1) ;
295 for ( i = 3; i < nr; i += 2 ) {
296 cf0[i] = cf0[i-2] + fac * g(nm1 - i/2) ;
301 double c1 = ( fmoins0 - som ) / nm1s2 ;
305 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
311 for (i=1; i<nm1; i++) {
312 cf0[i] = 2 * cf0[i] - cf0[i-1] ;
326 if ( (j != 1) && (j != n1f-1) ) {
330 for (k=0; k<n2f; k++) {
332 int i0 = n2n3f * j + n3f * k ;
333 double* ff0 = ff + i0 ;
335 i0 = n2n3c * j + n3c * k ;
336 double* cf0 = cf + i0 ;
343 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
351 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
355 for ( i = 1; i < nm1s2 ; i++ ) {
361 int ixsym = nm1 - isym ;
364 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
366 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
367 g.set(i) = fp + fms ;
368 g.set(isym) = fp - fms ;
371 g.set(0) = 0.5 * ( cf0[nm1] + cf0[0] );
372 g.set(nm1s2) = cf0[nm1s2];
386 double fac = 2./double(nm1) ;
387 cf0[0] = g(0) / double(nm1) ;
388 for (i=2; i<nm1; i += 2 ) cf0[i] = fac * g(i/2) ;
389 cf0[nm1] = g(nm1s2) / double(nm1) ;
400 for ( i = 3; i < nr; i += 2 ) {
401 cf0[i] = cf0[i-2] + fac * g(nm1 - i/2) ;
406 double c1 = ( fmoins0 - som ) / nm1s2 ;
410 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
416 for (i=1; i<nm1; i++) {
417 cf0[i] = 2 * cf0[i] - cf0[i-1] ;
447 for (k=0; k<n2f; k++) {
449 int i0 = n2n3f * j + n3f * k ;
450 double* ff0 = ff + i0 ;
452 i0 = n2n3c * j + n3c * k ;
453 double* cf0 = cf + i0 ;
461 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
465 for ( i = 1; i < nm1s2 ; i++ ) {
471 int ixsym = nm1 - isym ;
474 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
476 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
477 g.set(i) = fp + fms ;
478 g.set(isym) = fp - fms ;
481 g.set(0) = 0.5 * ( ff0[nm1] + ff0[0] );
482 g.set(nm1s2) = ff0[nm1s2];
495 double fac = 2./double(nm1) ;
496 cf0[0] = g(0) / double(nm1) ;
497 for (i=2; i<nm1; i += 2) cf0[i] = fac*g(i/2) ;
498 cf0[nm1] = g(nm1s2) / double(nm1) ;
509 for ( i = 3; i < nr; i += 2 ) {
510 cf0[i] = cf0[i-2] + fac * g(nm1-i/2) ;
515 double c1 = ( fmoins0 - som ) / nm1s2 ;
519 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
534 for (k=0; k<n2f; k++) {
536 int i0 = n2n3f * j + n3f * k ;
537 double* ff0 = ff + i0 ;
539 i0 = n2n3c * j + n3c * k ;
540 double* cf0 = cf + i0 ;
548 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
552 for ( i = 1; i < nm1s2 ; i++ ) {
558 int ixsym = nm1 - isym ;
561 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
563 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
564 g.set(i) = fp + fms ;
565 g.set(isym) = fp - fms ;
568 g.set(0) = 0.5 * ( ff0[nm1] + ff0[0] );
569 g.set(nm1s2) = ff0[nm1s2];
582 double fac = 2./double(nm1) ;
583 cf0[0] = g(0) / double(nm1) ;
584 for (i=2; i<nm1; i += 2) cf0[i] = fac*g(i/2) ;
585 cf0[nm1] = g(nm1s2) / double(nm1) ;
596 for ( i = 3; i < nr; i += 2 ) {
597 cf0[i] = cf0[i-2] + fac * g(nm1-i/2) ;
602 double c1 = ( fmoins0 - som ) / nm1s2 ;
606 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;