23char cfrchebpimp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cfrchebpimp.C,v 1.3 2014/10/13 08:53:18 j_novak Exp $" ;
144fftw_plan prepare_fft(
int, Tbl*&) ;
145double* cheb_ini(
const int) ;
146double* chebimp_ini(
const int ) ;
150void cfrchebpimp(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
170 cout <<
"cfrchebpimp: nr > n3f : nr = " << nr <<
" , n3f = "
176 cout <<
"cfrchebpimp: nr > n3c : nr = " << nr <<
" , n3c = "
182 cout <<
"cfrchebpimp: n1f > n1c : n1f = " << n1f <<
" , n1c = "
188 cout <<
"cfrchebpimp: n2f > n2c : n2f = " << n2f <<
" , n2c = "
200 fftw_plan p = prepare_fft(nm1, pg) ;
204 double* sinp = cheb_ini(nr);
207 double* x = chebimp_ini(nr);
211 int n2n3f = n2f * n3f ;
212 int n2n3c = n2c * n3c ;
227 for (k=0; k<n2f; k++) {
229 int i0 = n2n3f * j + n3f * k ;
230 double* ff0 = ff + i0 ;
232 i0 = n2n3c * j + n3c * k ;
233 double* cf0 = cf + i0 ;
241 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
245 for ( i = 1; i < nm1s2 ; i++ ) {
251 int ixsym = nm1 - isym ;
254 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
256 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
257 g.set(i) = fp + fms ;
258 g.set(isym) = fp - fms ;
261 g.set(0) = 0.5 * ( ff0[nm1] + ff0[0] );
262 g.set(nm1s2) = ff0[nm1s2];
275 double fac = 2./double(nm1) ;
276 cf0[0] = g(0) / double(nm1) ;
277 for (i=2; i<nm1; i += 2) cf0[i] = fac*g(i/2) ;
278 cf0[nm1] = g(nm1s2) / double(nm1) ;
289 for ( i = 3; i < nr; i += 2 ) {
290 cf0[i] = cf0[i-2] + fac * g(nm1-i/2) ;
295 double c1 = ( fmoins0 - som ) / nm1s2 ;
299 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
309 if ( (j != 1) && (j != n1f-1) ) {
313 for (k=0; k<n2f; k++) {
315 int i0 = n2n3f * j + n3f * k ;
316 double* ff0 = ff + i0 ;
318 i0 = n2n3c * j + n3c * k ;
319 double* cf0 = cf + i0 ;
327 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
331 for ( i = 1; i < nm1s2 ; i++ ) {
337 int ixsym = nm1 - isym ;
340 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
342 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
343 g.set(i) = fp + fms ;
344 g.set(isym) = fp - fms ;
347 g.set(0) = 0.5 * ( ff0[nm1] + ff0[0] );
348 g.set(nm1s2) = ff0[nm1s2];
361 double fac = 2./double(nm1) ;
362 cf0[0] = g(0) / double(nm1) ;
363 for (i=2; i<nm1; i += 2) cf0[i] = fac*g(i/2) ;
364 cf0[nm1] = g(nm1s2) / double(nm1) ;
375 for ( i = 3; i < nr; i += 2 ) {
376 cf0[i] = cf0[i-2] + fac * g(nm1-i/2) ;
381 double c1 = ( fmoins0 - som ) / nm1s2 ;
385 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
413 for (k=0; k<n2f; k++) {
415 int i0 = n2n3f * j + n3f * k ;
416 double* ff0 = ff + i0 ;
418 i0 = n2n3c * j + n3c * k ;
419 double* cf0 = cf + i0 ;
426 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
434 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
438 for ( i = 1; i < nm1s2 ; i++ ) {
444 int ixsym = nm1 - isym ;
447 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
449 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
450 g.set(i) = fp + fms ;
451 g.set(isym) = fp - fms ;
454 g.set(0) = 0.5 * ( cf0[nm1] + cf0[0] );
455 g.set(nm1s2) = cf0[nm1s2];
469 double fac = 2./double(nm1) ;
470 cf0[0] = g(0) / double(nm1) ;
471 for (i=2; i<nm1; i += 2 ) cf0[i] = fac * g(i/2) ;
472 cf0[nm1] = g(nm1s2) / double(nm1) ;
483 for ( i = 3; i < nr; i += 2 ) {
484 cf0[i] = cf0[i-2] + fac * g(nm1 - i/2) ;
489 double c1 = ( fmoins0 - som ) / nm1s2 ;
493 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
499 for (i=1; i<nm1; i++) {
500 cf0[i] = 2 * cf0[i] - cf0[i-1] ;
517 for (k=0; k<n2f; k++) {
519 int i0 = n2n3f * j + n3f * k ;
520 double* ff0 = ff + i0 ;
522 i0 = n2n3c * j + n3c * k ;
523 double* cf0 = cf + i0 ;
530 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
538 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
542 for ( i = 1; i < nm1s2 ; i++ ) {
548 int ixsym = nm1 - isym ;
551 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
553 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
554 g.set(i) = fp + fms ;
555 g.set(isym) = fp - fms ;
558 g.set(0) = 0.5 * ( cf0[nm1] + cf0[0] );
559 g.set(nm1s2) = cf0[nm1s2];
573 double fac = 2./double(nm1) ;
574 cf0[0] = g(0) / double(nm1) ;
575 for (i=2; i<nm1; i += 2 ) cf0[i] = fac * g(i/2) ;
576 cf0[nm1] = g(nm1s2) / double(nm1) ;
587 for ( i = 3; i < nr; i += 2 ) {
588 cf0[i] = cf0[i-2] + fac * g(nm1 - i/2) ;
593 double c1 = ( fmoins0 - som ) / nm1s2 ;
597 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
603 for (i=1; i<nm1; i++) {
604 cf0[i] = 2 * cf0[i] - cf0[i-1] ;