From 79048ff443472f339a95f070940a6df4b14a9035 Mon Sep 17 00:00:00 2001
From: Samo Penic <samo.penic@gmail.com>
Date: Thu, 07 Jun 2012 21:29:41 +0000
Subject: [PATCH] Ylmi and Ulm seems to be working... needs to be further debugged. Triangle area is missing, thus ulm are always 0.
---
src/sh.c | 101 +++++++++++++++++++++++++++++++++++++++++++++-----
1 files changed, 90 insertions(+), 11 deletions(-)
diff --git a/src/sh.c b/src/sh.c
index 055a3c0..84aafdc 100644
--- a/src/sh.c
+++ b/src/sh.c
@@ -3,6 +3,71 @@
#include "general.h"
#include "sh.h"
+
+
+ts_spharm *sph_init(ts_vertex_list *vlist, ts_uint l){
+ ts_uint j,i;
+ ts_spharm *sph=(ts_spharm *)malloc(sizeof(ts_spharm));
+
+
+ /* lets initialize Ylm for each vertex. */
+ sph->Ylmi=(ts_double ***)calloc(l,sizeof(ts_double **));
+ for(i=0;i<l;i++){
+ sph->Ylmi[i]=(ts_double **)calloc(2*i+1,sizeof(ts_double *));
+ for(j=0;j<(2*i+1);j++){
+ sph->Ylmi[i][j]=(ts_double *)calloc(vlist->n,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 */
+//NOTE: C is has zero based indexing. Code is imported from fortran and to comply with original indexes we actually generate one index more. Also second dimension is 2*j+2 instead of 2*j+2. elements starting with 0 are useles and should be ignored!
+ sph->co=(ts_double **)calloc(l+1,sizeof(ts_double *));
+ for(j=0;j<=l;j++){
+ sph->co[j]=(ts_double *)calloc(2*j+2,sizeof(ts_double));
+ }
+
+ sph->l=l;
+
+ /* Calculate coefficients that will remain constant during all the simulation */
+ precomputeShCoeff(sph);
+
+ return sph;
+}
+
+
+ts_bool sph_free(ts_spharm *sph){
+ int i,j;
+ 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[sph->l]!=NULL) free(sph->co[sph->l]);
+ if(sph->co != NULL) free(sph->co);
+ if(sph->ulm !=NULL) free(sph->ulm);
+
+ if(sph->Ylmi!=NULL) {
+ for(i=0;i<sph->l;i++){
+ if(sph->Ylmi[i]!=NULL){
+ for(j=0;j<i*2+1;j++){
+ if(sph->Ylmi[i][j]!=NULL) free (sph->Ylmi[i][j]);
+ }
+ free(sph->Ylmi[i]);
+ }
+ }
+ free(sph->Ylmi);
+ }
+
+ 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;
@@ -55,14 +120,23 @@
}
+/** @brief: Precomputes coefficients that are required for spherical harmonics computations.
+*/
ts_bool precomputeShCoeff(ts_spharm *sph){
- ts_uint i,j;
- 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++){
-
+ ts_int i,j,al,am;
+ ts_double **co=sph->co;
+ for(i=1;i<=sph->l;i++){
+ al=i;
+ sph->co[i][i+1]=sqrt((2.0*al+1.0)/2.0/M_PI);
+ for(j=1;j<=i-1;j++){
+ am=j;
+ sph->co[i][i+1+j]=co[i][i+j]*sqrt(1.0/(al-am+1.0)/(al+am));
+ sph->co[i][i+1-j]=co[i][i+1+j];
}
+ co[i][2*i+1]=co[i][2*i]*sqrt(1.0/(2.0*al));
+ co[i][1]=co[i][2*i+1];
+ co[i][i+1]=sqrt((2.0*al+1.0)/4.0/M_PI);
}
return TS_SUCCESS;
@@ -203,18 +277,23 @@
ts_spharm *sph=vesicle->sphHarmonics;
ts_coord *coord=(ts_coord *)malloc(sizeof(ts_coord));
ts_double fi, theta;
+ ts_int m;
+ ts_vertex *cvtx;
for(k=0;k<vesicle->vlist->n;k++){
+ cvtx=vesicle->vlist->vtx[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);
+ cart2sph(coord,cvtx->x, cvtx->y, cvtx->z);
fi=coord->e2;
theta=coord->e3;
- for(i=0; i<sph->l; i++){
+ for(i=1; 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));
+ m=j+1;
+ sph->Ylmi[i][j][k]=sph->co[i][m]*cos((m-i-1)*fi)*pow(-1,m-i-1)*plgndr(i,abs(m-i-1),cos(theta));
}
- sph->Ylmi[i][j+1][k]=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));
+ sph->Ylmi[i][j+1][k]=sph->co[i][m+1]*plgndr(i,0,cos(theta));
+ for(j=i+1;j<2*i;j++){
+ m=j+1;
+ sph->Ylmi[i][j][k]=sph->co[i][m]*sin((m-i-1)*fi)*plgndr(i,m-i-1,cos(theta));
}
}
--
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