23char cftcossinc_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/cftcossinc.C,v 1.3 2014/10/13 08:53:19 j_novak Exp $" ;
118fftw_plan prepare_fft(
int, Tbl*&) ;
119double* cheb_ini(
const int) ;
122void cftcossinc(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
141 cout <<
"cftcossinc: nt > n2f : nt = " << nt <<
" , n2f = "
147 cout <<
"cftcossinc: nt > n2c : nt = " << nt <<
" , n2c = "
153 cout <<
"cftcossinc: n1f > n1c : n1f = " << n1f <<
" , n1c = "
159 cout <<
"cftcossinc: n3f > n3c : n3f = " << n3f <<
" , n3c = "
171 fftw_plan p = prepare_fft(nm1, pg) ;
175 double* sinp = cheb_ini(nt);
180 int n2n3f = n2f * n3f ;
181 int n2n3c = n2c * n3c ;
197 for (k=0; k<n3f; k++) {
199 int i0 = n2n3f * j + k ;
200 double* ff0 = ff + i0 ;
203 double* cf0 = cf + i0 ;
207 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
211 for ( i = 1; i < nm1s2 ; i++ ) {
214 int ixsym = n3f * isym ;
216 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
218 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
219 g.set(i) = fp + fms ;
220 g.set(isym) = fp - fms ;
223 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
224 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
237 double fac = 2./double(nm1) ;
238 cf0[0] = g(0) / double(nm1) ;
239 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
240 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
251 for ( i = 3; i < nt; i += 2 ) {
252 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
257 double c1 = ( fmoins0 - som ) / nm1s2 ;
261 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
272 if ( (j != 1) && (j != n1f-1 ) ) {
276 for (k=0; k<n3f; k++) {
278 int i0 = n2n3f * j + k ;
279 double* ff0 = ff + i0 ;
282 double* cf0 = cf + i0 ;
286 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
290 for ( i = 1; i < nm1s2 ; i++ ) {
293 int ixsym = n3f * isym ;
295 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
297 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
298 g.set(i) = fp + fms ;
299 g.set(isym) = fp - fms ;
302 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
303 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
316 double fac = 2./double(nm1) ;
317 cf0[0] = g(0) / double(nm1) ;
318 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac*g(i/2) ;
319 cf0[n3c*nm1] = g(nm1s2) / double(nm1) ;
330 for ( i = 3; i < nt; i += 2 ) {
331 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(nm1 - i/2) ;
336 double c1 = ( fmoins0 - som ) / nm1s2 ;
340 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
368 for (k=0; k<n3f; k++) {
370 int i0 = n2n3f * j + k ;
371 double* ff0 = ff + i0 ;
374 double* cf0 = cf + i0 ;
379 for ( i = 1; i < nm1s2 ; i++ ) {
382 int ixsym = n3f * isym ;
384 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
386 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
387 g.set(i) = fp + fms ;
388 g.set(isym) = fp - fms ;
391 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
392 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
405 double fac = -2. / double(nm1) ;
407 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(nm1 - i/2) ;
417 cf0[n3c] = -fac * g(0);
419 for ( i = 3; i < nt; i += 2 ) {
420 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(i/2) ;
435 for (k=0; k<n3f; k++) {
437 int i0 = n2n3f * j + k ;
438 double* ff0 = ff + i0 ;
441 double* cf0 = cf + i0 ;
445 for ( i = 1; i < nm1s2 ; i++ ) {
448 int ixsym = n3f * isym ;
450 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
452 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
453 g.set(i) = fp + fms ;
454 g.set(isym) = fp - fms ;
457 g.set(0) = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
458 g.set(nm1s2) = ff0[ n3f*nm1s2 ];
471 double fac = -2. / double(nm1) ;
473 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = fac * g(nm1 - i/2) ;
483 cf0[n3c] = -fac * g(0);
485 for ( i = 3; i < nt; i += 2 ) {
486 cf0[n3c*i] = cf0[n3c*(i-2)] + fac * g(i/2) ;