23char citcossinci_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/citcossinci.C,v 1.5 2014/10/13 08:53:20 j_novak Exp $" ;
136fftw_plan back_fft(
int, Tbl*&) ;
137double* cheb_ini(
const int) ;
138double* chebimp_ini(
const int ) ;
141void citcossinci(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
160 cout <<
"citcossinci: nt > n2f : nt = " << nt <<
" , n2f = "
165 cout <<
"citcossinci: nt > n2c : nt = " << nt <<
" , n2c = "
169 if ( (n1f > 1) && (n1c > n1f) ) {
170 cout <<
"citcossinci: n1c > n1f : n1c = " << n1c <<
" , n1f = "
175 cout <<
"citcossinci: n3c > n3f : n3c = " << n3c <<
" , n3f = "
186 fftw_plan p = back_fft(nm1, pg) ;
188 double* t1 =
new double[nt] ;
191 double* sinp = cheb_ini(nt);
194 double* x = chebimp_ini(nt) ;
199 int n2n3f = n2f * n3f ;
200 int n2n3c = n2c * n3c ;
201 int borne_phi = n1f-1 ;
202 if (n1f == 1) borne_phi = 1 ;
210 while (j < borne_phi) {
217 for (k=0; k<n3c; k++) {
219 int i0 = n2n3c * j + k ;
220 double* cf0 = cf + i0 ;
223 double* ff0 = ff + i0 ;
228 t1[0] = .5 * cf0[0] ;
229 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
230 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
248 for ( i = 3; i < nt; i += 2 ) {
249 ff0[ n3f*i ] = t1[i] - c1 ;
250 som += ff0[ n3f*i ] ;
254 double fmoins0 = nm1s2 * c1 + som ;
259 for ( i = 3; i < nt; i += 2 ) {
260 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
272 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
273 g.set(nm1s2) = t1[nm1] ;
284 for ( i = 1; i < nm1s2 ; i++ ) {
288 double fp = 0.5 * ( g(i) + g(isym) ) ;
289 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
290 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
291 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
295 ff0[0] = g(0) + fmoins0 ;
297 ff0[ n3f*nm1s2 ] = g(nm1s2) / x[nm1s2] ;
307 if ( (j != 1) && (j != borne_phi ) ) {
311 for (k=0; k<n3c; k++) {
313 int i0 = n2n3c * j + k ;
314 double* cf0 = cf + i0 ;
317 double* ff0 = ff + i0 ;
322 t1[0] = .5 * cf0[0] ;
323 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
324 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
342 for ( i = 3; i < nt; i += 2 ) {
343 ff0[ n3f*i ] = t1[i] - c1 ;
344 som += ff0[ n3f*i ] ;
348 double fmoins0 = nm1s2 * c1 + som ;
353 for ( i = 3; i < nt; i += 2 ) {
354 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
366 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
367 g.set(nm1s2) = t1[nm1] ;
378 for ( i = 1; i < nm1s2 ; i++ ) {
382 double fp = 0.5 * ( g(i) + g(isym) ) ;
383 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
384 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
385 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
389 ff0[0] = g(0) + fmoins0 ;
391 ff0[ n3f*nm1s2 ] = g(nm1s2) / x[nm1s2] ;
416 while (j < borne_phi) {
423 for (k=0; k<n3c; k++) {
425 int i0 = n2n3c * j + k ;
426 double* cf0 = cf + i0 ;
429 double* ff0 = ff + i0 ;
448 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = - .5 * cf0[n3c*i] ;
457 g.set(0) = .5 * cf0[n3c] ;
458 for ( i = 1; i < nm1s2; i++ ) {
459 g.set(i) = .25 * ( cf0[ n3c*(2*i+1) ] - cf0[ n3c*(2*i-1) ] ) ;
461 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
473 for ( i = 1; i < nm1s2 ; i++ ) {
477 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
478 double fm = 0.5 * ( g(i) - g(isym) ) ;
479 ff0[ n3f*i ] = fp + fm ;
480 ff0[ n3f*isym ] = fp - fm ;
485 ff0[ n3f*nm1 ] = -2. * g(0) ;
486 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
497 if ( j != borne_phi ) {
501 for (k=0; k<n3c; k++) {
503 int i0 = n2n3c * j + k ;
504 double* cf0 = cf + i0 ;
507 double* ff0 = ff + i0 ;
526 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = - .5 * cf0[n3c*i] ;
535 g.set(0) = .5 * cf0[n3c] ;
536 for ( i = 1; i < nm1s2; i++ ) {
537 g.set(i) = .25 * ( cf0[ n3c*(2*i+1) ] - cf0[ n3c*(2*i-1) ] ) ;
539 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
551 for ( i = 1; i < nm1s2 ; i++ ) {
555 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
556 double fm = 0.5 * ( g(i) - g(isym) ) ;
557 ff0[ n3f*i ] = fp + fm ;
558 ff0[ n3f*isym ] = fp - fm ;
563 ff0[ n3f*nm1 ] = -2. * g(0) ;
564 ff0[ n3f*nm1s2 ] = g(nm1s2) ;