23char circhebpimi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/circhebpimi.C,v 1.4 2014/10/13 08:53:20 j_novak Exp $" ;
150fftw_plan back_fft(
int, Tbl*&) ;
151double* cheb_ini(
const int) ;
152double* chebimp_ini(
const int ) ;
155void circhebpimi(
const int* deg,
const int* dimc,
double* cf,
156 const int* dimf,
double* ff)
174 cout <<
"circhebpimi: nr > n3c : nr = " << nr <<
" , n3c = "
180 cout <<
"circhebpimi: nr > n3f : nr = " << nr <<
" , n3f = "
186 cout <<
"circhebpimi: n1c > n1f : n1c = " << n1c <<
" , n1f = "
192 cout <<
"circhebpimi: n2c > n2f : n2c = " << n2c <<
" , n2f = "
204 fftw_plan p = back_fft(nm1, pg) ;
206 double* t1 =
new double[nr] ;
209 double* sinp = cheb_ini(nr);
212 double* x = chebimp_ini(nr);
216 int n2n3f = n2f * n3f ;
217 int n2n3c = n2c * n3c ;
233 for (k=0; k<n2c; k++) {
235 int i0 = n2n3c * j + n3c * k ;
236 double* cf0 = cf + i0 ;
238 i0 = n2n3f * j + n3f * k ;
239 double* ff0 = ff + i0 ;
244 t1[0] = .5 * cf0[0] ;
245 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[i] + cf0[i-1] ) ;
246 t1[nm1] = .5 * cf0[nr-2] ;
264 for ( i = 3; i < nr; i += 2 ) {
265 ff0[i] = t1[i] - c1 ;
270 double fmoins0 = nm1s2 * c1 + som ;
275 for ( i = 3; i < nr; i += 2 ) {
276 g.set(nm1-i/2) = 0.25 * ( ff0[i] - ff0[i-2] ) ;
288 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
289 g.set(nm1s2) = t1[nm1] ;
300 for ( i = 1; i < nm1s2 ; i++ ) {
306 int ixsym = nm1 - isym ;
308 double fp = .5 * ( g(i) + g(isym) ) ;
309 double fm = .5 * ( g(i) - g(isym) ) / sinp[i] ;
311 ff0[ix] = ( fp + fm ) / x[ix];
312 ff0[ixsym] = ( fp - fm ) / x[ixsym] ;
317 ff0[nm1] = g(0) + fmoins0 ;
318 ff0[nm1s2] = g(nm1s2) / x[nm1s2] ;
328 if ( (j != 1) && (j != n1f-1) ) {
332 for (k=0; k<n2c; k++) {
334 int i0 = n2n3c * j + n3c * k ;
335 double* cf0 = cf + i0 ;
337 i0 = n2n3f * j + n3f * k ;
338 double* ff0 = ff + i0 ;
343 t1[0] = .5 * cf0[0] ;
344 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[i] + cf0[i-1] ) ;
345 t1[nm1] = .5 * cf0[nr-2] ;
363 for ( i = 3; i < nr; i += 2 ) {
364 ff0[i] = t1[i] - c1 ;
369 double fmoins0 = nm1s2 * c1 + som ;
374 for ( i = 3; i < nr; i += 2 ) {
375 g.set(nm1-i/2) = 0.25 * ( ff0[i] - ff0[i-2] ) ;
387 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
388 g.set(nm1s2) = t1[nm1] ;
399 for ( i = 1; i < nm1s2 ; i++ ) {
405 int ixsym = nm1 - isym ;
407 double fp = .5 * ( g(i) + g(isym) ) ;
408 double fm = .5 * ( g(i) - g(isym) ) / sinp[i] ;
410 ff0[ix] = ( fp + fm ) / x[ix];
411 ff0[ixsym] = ( fp - fm ) / x[ixsym] ;
416 ff0[nm1] = g(0) + fmoins0 ;
417 ff0[nm1s2] = g(nm1s2) / x[nm1s2] ;
446 for (k=0; k<n2c; k++) {
448 int i0 = n2n3c * j + n3c * k ;
449 double* cf0 = cf + i0 ;
451 i0 = n2n3f * j + n3f * k ;
452 double* ff0 = ff + i0 ;
470 for ( i = 3; i < nr; i += 2 ) {
471 ff0[i] = cf0[i] - c1 ;
476 double fmoins0 = nm1s2 * c1 + som ;
481 for ( i = 3; i < nr; i += 2 ) {
482 g.set(nm1-i/2) = 0.25 * ( ff0[i] - ff0[i-2] ) ;
494 for (i=1; i<nm1s2; i++) g.set(i) = 0.5 * cf0[2*i] ;
495 g.set(nm1s2) = cf0[nm1] ;
506 for ( i = 1; i < nm1s2 ; i++ ) {
512 int ixsym = nm1 - isym ;
514 double fp = .5 * ( g(i) + g(isym) ) ;
515 double fm = .5 * ( g(i) - g(isym) ) / sinp[i] ;
518 ff0[ixsym] = fp - fm ;
522 ff0[0] = g(0) - fmoins0 ;
523 ff0[nm1] = g(0) + fmoins0 ;
524 ff0[nm1s2] = g(nm1s2) ;
539 for (k=0; k<n2c; k++) {
541 int i0 = n2n3c * j + n3c * k ;
542 double* cf0 = cf + i0 ;
544 i0 = n2n3f * j + n3f * k ;
545 double* ff0 = ff + i0 ;
563 for ( i = 3; i < nr; i += 2 ) {
564 ff0[i] = cf0[i] - c1 ;
569 double fmoins0 = nm1s2 * c1 + som ;
574 for ( i = 3; i < nr; i += 2 ) {
575 g.set(nm1-i/2) = 0.25 * ( ff0[i] - ff0[i-2] ) ;
587 for (i=1; i<nm1s2; i++) g.set(i) = 0.5 * cf0[2*i] ;
588 g.set(nm1s2) = cf0[nm1] ;
599 for ( i = 1; i < nm1s2 ; i++ ) {
605 int ixsym = nm1 - isym ;
607 double fp = .5 * ( g(i) + g(isym) ) ;
608 double fm = .5 * ( g(i) - g(isym) ) / sinp[i] ;
611 ff0[ixsym] = fp - fm ;
615 ff0[0] = g(0) - fmoins0 ;
616 ff0[nm1] = g(0) + fmoins0 ;
617 ff0[nm1s2] = g(nm1s2) ;