23char cftcossinsi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cftcossinsi.C,v 1.3 2014/10/13 08:53:19 j_novak Exp $" ;
137fftw_plan prepare_fft(
int, Tbl*&) ;
138double* cheb_ini(
const int) ;
139double* chebimp_ini(
const int ) ;
142void cftcossinsi(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
161 cout <<
"cftcossinsi: nt > n2f : nt = " << nt <<
" , n2f = "
167 cout <<
"cftcossinsi: nt > n2c : nt = " << nt <<
" , n2c = "
173 cout <<
"cftcossinsi: n1f > n1c : n1f = " << n1f <<
" , n1c = "
179 cout <<
"cftcossinsi: n3f > n3c : n3f = " << n3f <<
" , n3c = "
191 fftw_plan p = prepare_fft(nm1, pg) ;
195 double* sinp = cheb_ini(nt);
198 double* sinth = chebimp_ini(nt);
203 int n2n3f = n2f * n3f ;
204 int n2n3c = n2c * n3c ;
219 for (k=0; k<n3f; k++) {
221 int i0 = n2n3f * j + k ;
222 double* ff0 = ff + i0 ;
225 double* cf0 = cf + i0 ;
234 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
242 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
246 for ( i = 1; i < nm1s2 ; i++ ) {
252 int ixsym = n3c * isym ;
254 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
256 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
257 g.set(i) = fp + fms ;
258 g.set(isym) = fp - fms ;
261 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
262 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
275 double fac = 2./double(nm1) ;
276 cf0[0] = g(0)/double(nm1) ;
277 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
278 cf0[n3c*nm1] = g(nm1s2)/double(nm1) ;
289 for ( i = 3; i < nt; i += 2 ) {
290 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
295 double c1 = ( fmoins0 - som ) / nm1s2 ;
299 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
305 for (i=1; i<nm1; i++) {
306 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
318 if ( (j != 1) && (j != n1f-1 ) ) {
322 for (k=0; k<n3f; k++) {
324 int i0 = n2n3f * j + k ;
325 double* ff0 = ff + i0 ;
328 double* cf0 = cf + i0 ;
337 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
345 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
349 for ( i = 1; i < nm1s2 ; i++ ) {
355 int ixsym = n3c * isym ;
357 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
359 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
360 g.set(i) = fp + fms ;
361 g.set(isym) = fp - fms ;
364 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
365 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
378 double fac = 2./double(nm1) ;
379 cf0[0] = g(0)/double(nm1) ;
380 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
381 cf0[n3c*nm1] = g(nm1s2)/double(nm1) ;
392 for ( i = 3; i < nt; i += 2 ) {
393 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
398 double c1 = ( fmoins0 - som ) / nm1s2 ;
402 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
408 for (i=1; i<nm1; i++) {
409 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
439 for (k=0; k<n3f; k++) {
441 int i0 = n2n3f * j + k ;
442 double* ff0 = ff + i0 ;
445 double* cf0 = cf + i0 ;
453 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
457 for ( i = 1; i < nm1s2 ; i++ ) {
463 int ixsym = n3f * isym ;
465 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
467 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
468 g.set(i) = fp + fms ;
469 g.set(isym) = fp - fms ;
472 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
473 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
486 double fac = 2./double(nm1) ;
487 cf0[0] = g(0) / double(nm1) ;
488 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
489 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
500 for ( i = 3; i < nt; i += 2 ) {
501 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
506 double c1 = ( fmoins0 - som ) / nm1s2 ;
510 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
525 for (k=0; k<n3f; k++) {
527 int i0 = n2n3f * j + k ;
528 double* ff0 = ff + i0 ;
531 double* cf0 = cf + i0 ;
539 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
543 for ( i = 1; i < nm1s2 ; i++ ) {
549 int ixsym = n3f * isym ;
551 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
553 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
554 g.set(i) = fp + fms ;
555 g.set(isym) = fp - fms ;
558 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
559 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
572 double fac = 2./double(nm1) ;
573 cf0[0] = g(0) / double(nm1) ;
574 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
575 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
586 for ( i = 3; i < nt; i += 2 ) {
587 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
592 double c1 = ( fmoins0 - som ) / nm1s2 ;
596 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;