23char cfrchebpip_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cfrchebpip.C,v 1.3 2014/10/13 08:53:18 j_novak Exp $" ;
118fftw_plan prepare_fft(
int, Tbl*&) ;
119double* cheb_ini(
const int) ;
120double* chebimp_ini(
const int ) ;
124void cfrchebpip(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
144 cout <<
"cfrchebpip: nr > n3f : nr = " << nr <<
" , n3f = "
150 cout <<
"cfrchebpip: nr > n3c : nr = " << nr <<
" , n3c = "
156 cout <<
"cfrchebpip: n1f > n1c : n1f = " << n1f <<
" , n1c = "
162 cout <<
"cfrchebpip: n2f > n2c : n2f = " << n2f <<
" , n2c = "
174 fftw_plan p = prepare_fft(nm1, pg) ;
178 double* sinp = cheb_ini(nr);
181 double* x = chebimp_ini(nr);
185 int n2n3f = n2f * n3f ;
186 int n2n3c = n2c * n3c ;
194 int borne_phi = ( n1f > 1 ) ? n1f-1 : 1 ;
196 for (j=0; j< borne_phi; j++) {
202 for (k=0; k<n2f; k+=2) {
204 int i0 = n2n3f * j + n3f * k ;
205 double* ff0 = ff + i0 ;
207 i0 = n2n3c * j + n3c * k ;
208 double* cf0 = cf + i0 ;
212 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
216 for ( i = 1; i < nm1s2 ; i++ ) {
222 int ixsym = nm1 - isym ;
225 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
227 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
228 g.set(i) = fp + fms ;
229 g.set(isym) = fp - fms ;
232 g.set(0) = 0.5 * ( ff0[nm1] + ff0[0] );
233 g.set(nm1s2) = ff0[nm1s2];
246 double fac = 2./double(nm1) ;
247 cf0[0] = g(0) / double(nm1) ;
248 for (i=2; i<nm1; i += 2) cf0[i] = fac*g(i/2) ;
249 cf0[nm1] = g(nm1s2) / double(nm1) ;
260 for ( i = 3; i < nr; i += 2 ) {
261 cf0[i] = cf0[i-2] + fac * g(nm1-i/2) ;
266 double c1 = ( fmoins0 - som ) / nm1s2 ;
270 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
277 for (k=1; k<n2f; k+=2) {
278 int i0 = n2n3f * j + n3f * k ;
279 double* ff0 = ff + i0 ;
281 i0 = n2n3c * j + n3c * k ;
282 double* cf0 = cf + i0 ;
289 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
293 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
297 for ( i = 1; i < nm1s2 ; i++ ) {
303 int ixsym = nm1 - isym ;
306 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
308 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
309 g.set(i) = fp + fms ;
310 g.set(isym) = fp - fms ;
313 g.set(0) = 0.5 * ( cf0[nm1] + cf0[0] );
314 g.set(nm1s2) = cf0[nm1s2];
328 double fac = 2./double(nm1) ;
329 cf0[0] = g(0) / double(nm1) ;
330 for (i=2; i<nm1; i += 2 ) cf0[i] = fac * g(i/2) ;
331 cf0[nm1] = g(nm1s2) / double(nm1) ;
342 for ( i = 3; i < nr; i += 2 ) {
343 cf0[i] = cf0[i-2] + fac * g(nm1 - i/2) ;
348 double c1 = ( fmoins0 - som ) / nm1s2 ;
352 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
358 for (i=1; i<nm1; i++) {
359 cf0[i] = 2 * cf0[i] - cf0[i-1] ;