23char cftcossincp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cftcossincp.C,v 1.3 2014/10/13 08:53:19 j_novak Exp $" ;
138fftw_plan prepare_fft(
int, Tbl*&) ;
139double* cheb_ini(
const int) ;
140double* chebimp_ini(
const int ) ;
143void cftcossincp(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
162 cout <<
"cftcossincp: nt > n2f : nt = " << nt <<
" , n2f = "
168 cout <<
"cftcossincp: nt > n2c : nt = " << nt <<
" , n2c = "
174 cout <<
"cftcossincp: n1f > n1c : n1f = " << n1f <<
" , n1c = "
180 cout <<
"cftcossincp: n3f > n3c : n3f = " << n3f <<
" , n3c = "
192 fftw_plan p = prepare_fft(nm1, pg) ;
196 double* sinp = cheb_ini(nt);
199 double* sinth = chebimp_ini(nt);
204 int n2n3f = n2f * n3f ;
205 int n2n3c = n2c * n3c ;
220 for (k=0; k<n3f; k++) {
222 int i0 = n2n3f * j + k ;
223 double* ff0 = ff + i0 ;
226 double* cf0 = cf + i0 ;
234 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
238 for ( i = 1; i < nm1s2 ; i++ ) {
244 int ixsym = n3f * isym ;
246 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
248 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
249 g.set(i) = fp + fms ;
250 g.set(isym) = fp - fms ;
253 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
254 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
267 double fac = 2./double(nm1) ;
268 cf0[0] = g(0) / double(nm1) ;
269 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
270 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
281 for ( i = 3; i < nt; i += 2 ) {
282 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
287 double c1 = ( fmoins0 - som ) / nm1s2 ;
291 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
302 if ( (j != 1) && (j != n1f-1 ) ) {
305 for (k=0; k<n3f; k++) {
307 int i0 = n2n3f * j + k ;
308 double* ff0 = ff + i0 ;
311 double* cf0 = cf + i0 ;
319 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
323 for ( i = 1; i < nm1s2 ; i++ ) {
329 int ixsym = n3f * isym ;
331 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
333 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
334 g.set(i) = fp + fms ;
335 g.set(isym) = fp - fms ;
338 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
339 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
352 double fac = 2./double(nm1) ;
353 cf0[0] = g(0) / double(nm1) ;
354 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
355 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
366 for ( i = 3; i < nt; i += 2 ) {
367 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
372 double c1 = ( fmoins0 - som ) / nm1s2 ;
376 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
404 for (k=0; k<n3f; k++) {
406 int i0 = n2n3f * j + k ;
407 double* ff0 = ff + i0 ;
410 double* cf0 = cf + i0 ;
419 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
427 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
431 for ( i = 1; i < nm1s2 ; i++ ) {
437 int ixsym = n3c * isym ;
439 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
441 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
442 g.set(i) = fp + fms ;
443 g.set(isym) = fp - fms ;
446 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
447 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
460 double fac = 2./double(nm1) ;
461 cf0[0] = g(0)/double(nm1) ;
462 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
463 cf0[n3c*nm1] = g(nm1s2)/double(nm1) ;
474 for ( i = 3; i < nt; i += 2 ) {
475 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
480 double c1 = ( fmoins0 - som ) / nm1s2 ;
484 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
490 for (i=1; i<nm1; i++) {
491 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
507 for (k=0; k<n3f; k++) {
509 int i0 = n2n3f * j + k ;
510 double* ff0 = ff + i0 ;
513 double* cf0 = cf + i0 ;
522 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
530 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
534 for ( i = 1; i < nm1s2 ; i++ ) {
540 int ixsym = n3c * isym ;
542 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
544 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
545 g.set(i) = fp + fms ;
546 g.set(isym) = fp - fms ;
549 g.set(0) = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
550 g.set(nm1s2) = cf0[ n3c*nm1s2 ];
563 double fac = 2./double(nm1) ;
564 cf0[0] = g(0)/double(nm1) ;
565 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(i/2) ;
566 cf0[n3c*nm1] = g(nm1s2)/double(nm1) ;
577 for ( i = 3; i < nt; i += 2 ) {
578 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
583 double c1 = ( fmoins0 - som ) / nm1s2 ;
587 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
593 for (i=1; i<nm1; i++) {
594 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;