23char citcossinc_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossinc.C,v 1.4 2014/10/15 12:48:22 j_novak Exp $" ;
114#include "proto_f77.h"
118int* facto_ini(
int ) ;
119double* trigo_ini(
int ) ;
120double* cheb_ini(
const int) ;
121double* chebimp_ini(
const int ) ;
124void citcossinc(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
143 cout <<
"citcossinc: nt > n2f : nt = " << nt <<
" , n2f = "
149 cout <<
"citcossinc: nt > n2c : nt = " << nt <<
" , n2c = "
155 cout <<
"citcossinc: n1c > n1f : n1c = " << n1c <<
" , n1f = "
161 cout <<
"citcossinc: n3c > n3f : n3c = " << n3c <<
" , n3f = "
172 int* facto = facto_ini(nm1) ;
173 double* trigo = trigo_ini(nm1) ;
176 double* sinp = cheb_ini(nt);
179 double* sinth = chebimp_ini(nt);
183 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
184 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
195 int n2n3f = n2f * n3f ;
196 int n2n3c = n2c * n3c ;
211 for (k=0; k<n3c; k++) {
213 int i0 = n2n3c * j + k ;
214 double* cf0 = cf + i0 ;
217 double* ff0 = ff + i0 ;
223 double c1 = cf0[n3c] ;
227 for ( i = 3; i < nt; i += 2 ) {
228 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
229 som += ff0[ n3f*i ] ;
233 double fmoins0 = nm1s2 * c1 + som ;
239 for ( i = 3; i < nt; i += 2 ) {
240 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
253 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
254 g[nm1] = cf0[ n3c*nm1 ] ;
260 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
265 for ( i = 1; i < nm1s2 ; i++ ) {
269 double fp = 0.5 * ( g[i] + g[isym] ) ;
270 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
271 ff0[ n3f*i ] = fp + fm ;
272 ff0[ n3f*isym ] = fp - fm ;
276 ff0[0] = g[0] + fmoins0 ;
277 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
278 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
289 if ( (j != 1) && (j != n1f-1 ) ) {
293 for (k=0; k<n3c; k++) {
295 int i0 = n2n3c * j + k ;
296 double* cf0 = cf + i0 ;
299 double* ff0 = ff + i0 ;
304 double c1 = cf0[n3c] ;
308 for ( i = 3; i < nt; i += 2 ) {
309 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
310 som += ff0[ n3f*i ] ;
314 double fmoins0 = nm1s2 * c1 + som ;
320 for ( i = 3; i < nt; i += 2 ) {
321 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
334 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
335 g[nm1] = cf0[ n3c*nm1 ] ;
341 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
346 for ( i = 1; i < nm1s2 ; i++ ) {
350 double fp = 0.5 * ( g[i] + g[isym] ) ;
351 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
352 ff0[ n3f*i ] = fp + fm ;
353 ff0[ n3f*isym ] = fp - fm ;
357 ff0[0] = g[0] + fmoins0 ;
358 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
359 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
392 for (k=0; k<n3c; k++) {
394 int i0 = n2n3c * j + k ;
395 double* cf0 = cf + i0 ;
398 double* ff0 = ff + i0 ;
404 for (i=2; i<nm1; i += 2 ) g[i+1] = -0.5 * cf0[ n3c*i ] ;
411 g[0] = .5 * cf0[n3c] ;
412 for ( i = 3; i < nt; i += 2 ) {
413 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
415 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
421 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
426 for ( i = 1; i < nm1s2 ; i++ ) {
430 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
431 double fm = 0.5 * ( g[i] - g[isym] ) ;
432 ff0[ n3f*i ] = fp + fm ;
433 ff0[ n3f*isym ] = fp - fm ;
438 ff0[ n3f*nm1 ] = -2*g[0] ;
439 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
454 for (k=0; k<n3c; k++) {
456 int i0 = n2n3c * j + k ;
457 double* cf0 = cf + i0 ;
460 double* ff0 = ff + i0 ;
466 for (i=2; i<nm1; i += 2 ) g[i+1] = -0.5 * cf0[ n3c*i ] ;
473 g[0] = .5 * cf0[n3c] ;
474 for ( i = 3; i < nt; i += 2 ) {
475 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
477 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
483 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
488 for ( i = 1; i < nm1s2 ; i++ ) {
492 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
493 double fm = 0.5 * ( g[i] - g[isym] ) ;
494 ff0[ n3f*i ] = fp + fm ;
495 ff0[ n3f*isym ] = fp - fm ;
500 ff0[ n3f*nm1 ] = -2*g[0] ;
501 ff0[ n3f*nm1s2 ] = g[nm1s2] ;