| | |
| | | #include "general.h" |
| | | #include "sh.h" |
| | | |
| | | |
| | | |
| | | ts_spharm *sph_init(ts_vertex_list *vlist, ts_uint l){ |
| | | ts_uint k,j; |
| | | ts_spharm *sph=(ts_spharm *)malloc(sizeof(ts_spharm)); |
| | | |
| | | /* lets initialize Ylm for each vertex. Data is stored in vertices */ |
| | | for(k=0;k<vlist->n;k++){ |
| | | vlist->vtx[k]->Ylm=(ts_double **)calloc(l,sizeof(ts_double *)); |
| | | for(j=0;j<l;j++){ |
| | | vlist->vtx[k]->Ylm[j]=(ts_double *)calloc(2*j+1,sizeof(ts_double)); |
| | | } |
| | | } |
| | | |
| | | |
| | | /* lets initialize ulm */ |
| | | |
| | | sph->ulm=(ts_double **)calloc(l,sizeof(ts_double *)); |
| | | for(j=0;j<l;j++){ |
| | | sph->ulm[j]=(ts_double *)calloc(2*j+1,sizeof(ts_double)); |
| | | } |
| | | |
| | | |
| | | /* lets initialize co */ |
| | | |
| | | sph->co=(ts_double **)calloc(l,sizeof(ts_double *)); |
| | | for(j=0;j<l;j++){ |
| | | sph->co[j]=(ts_double *)calloc(2*j+1,sizeof(ts_double)); |
| | | } |
| | | |
| | | /* Calculate coefficients that will remain constant during all the simulation */ |
| | | precomputeShCoeff(sph); |
| | | |
| | | return sph; |
| | | } |
| | | |
| | | |
| | | ts_bool sph_free(ts_spharm *sph, ts_vertex_list *vlist){ |
| | | int i,k; |
| | | for(i=0;i<sph->l;i++){ |
| | | if(sph->ulm[i]!=NULL) free(sph->ulm[i]); |
| | | if(sph->co[i]!=NULL) free(sph->co[i]); |
| | | } |
| | | if(sph->co != NULL) free(sph->co); |
| | | if(sph->ulm !=NULL) free(sph->ulm); |
| | | |
| | | for(k=0;k<vlist->n;k++){ |
| | | if(vlist->vtx[k]->Ylm!=NULL) { |
| | | for(i=0;i<sph->l;i++){ |
| | | if(vlist->vtx[k]->Ylm[i]!=NULL) free(vlist->vtx[k]->Ylm[i]); |
| | | } |
| | | free(vlist->vtx[k]->Ylm); |
| | | } |
| | | } |
| | | free(sph); |
| | | return TS_SUCCESS; |
| | | } |
| | | |
| | | /* Gives you legendre polynomials. Taken from NR, p. 254 */ |
| | | ts_double plgndr(ts_int l, ts_int m, ts_float x){ |
| | | ts_double fact, pll, pmm, pmmp1, somx2; |
| | |
| | | |
| | | |
| | | ts_bool precomputeShCoeff(ts_spharm *sph){ |
| | | ts_uint i,j; |
| | | ts_int i,j,al,am; |
| | | ts_double **co=sph->co; |
| | | for(i=0;i<sph->l;i++){ |
| | | sph->co[i][i]=sqrt((2.0*i+1.0)/2.0/M_PI); |
| | | for(j=0;j<i-1;j++){ |
| | | |
| | | al=i+1; |
| | | sph->co[i][i+1]=sqrt((2.0*al+1.0)/2.0/M_PI); |
| | | for(j=0;j<al;j++){ |
| | | am=j+1; |
| | | sph->co[i][i+1+j]=co[i][i+j]*sqrt(1.0/(al-am+1)/(al+am)); |
| | | sph->co[i][i+1-j]=co[i][i+1+j]; |
| | | } |
| | | co[i][2*i]=co[i][2*i]*sqrt(1.0/(2.0*al)); |
| | | co[i][0]=co[i][2*i+1]; |
| | | co[i][i+1]=sqrt((2.0*al+1.0)/4.0/M_PI); |
| | | } |
| | | return TS_SUCCESS; |
| | | |
| | |
| | | ts_spharm *sph=vesicle->sphHarmonics; |
| | | ts_coord *coord=(ts_coord *)malloc(sizeof(ts_coord)); |
| | | ts_double fi, theta; |
| | | ts_vertex *cvtx; |
| | | for(k=0;k<vesicle->vlist->n;k++){ |
| | | sph->Ylmi[0][0][k]=sqrt(1.0/4.0/M_PI); |
| | | cart2sph(coord,vesicle->vlist->vtx[k]->x, vesicle->vlist->vtx[k]->y, vesicle->vlist->vtx[k]->z); |
| | | cvtx=vesicle->vlist->vtx[k]; |
| | | cvtx->Ylm[0][0]=sqrt(1.0/4.0/M_PI); |
| | | cart2sph(coord,cvtx->x, cvtx->y, cvtx->z); |
| | | fi=coord->e2; |
| | | theta=coord->e3; |
| | | for(i=0; i<sph->l; i++){ |
| | | for(j=0;j<i;j++){ |
| | | sph->Ylmi[i][j][k]=sph->co[i][j]*cos((j-i-1)*fi)*pow(-1,j-i-1)*plgndr(i,abs(j-i-1),cos(theta)); |
| | | cvtx->Ylm[i][j]=sph->co[i][j]*cos((j-i-1)*fi)*pow(-1,j-i-1)*plgndr(i,abs(j-i-1),cos(theta)); |
| | | } |
| | | sph->Ylmi[i][j+1][k]=sph->co[i][j+1]*plgndr(i,0,cos(theta)); |
| | | cvtx->Ylm[i][j+1]=sph->co[i][j+1]*plgndr(i,0,cos(theta)); |
| | | for(j=sph->l;j<2*i;j++){ |
| | | sph->Ylmi[i][j][k]=sph->co[i][j]*sin((j-i-1)*fi)*plgndr(i,j-i-1,cos(theta)); |
| | | cvtx->Ylm[i][j]=sph->co[i][j]*sin((j-i-1)*fi)*plgndr(i,j-i-1,cos(theta)); |
| | | } |
| | | } |
| | | |
| | |
| | | cvtx=vesicle->vlist->vtx[k]; |
| | | for(i=0;i<vesicle->sphHarmonics->l;i++){ |
| | | for(j=0;j<2*i;j++){ |
| | | vesicle->sphHarmonics->ulm[i][j]+= cvtx->solAngle*cvtx->relR*vesicle->sphHarmonics->Ylmi[i][j][k]; |
| | | vesicle->sphHarmonics->ulm[i][j]+= cvtx->solAngle*cvtx->relR*cvtx->Ylm[i][j]; |
| | | } |
| | | |
| | | } |