| | |
| | | #include<gsl/gsl_linalg.h> |
| | | #include "general.h" |
| | | #include "sh.h" |
| | | #include "shreal.h" |
| | | #include "shcomplex.h" |
| | | |
| | | #include "string.h" |
| | | #include "io.h" |
| | | |
| | | ts_spharm *complex_sph_init(ts_vertex_list *vlist, ts_uint l){ |
| | | ts_uint j,i; |
| | |
| | | |
| | | /* Calculate coefficients that will remain constant during all the simulation */ |
| | | precomputeShCoeff(sph); |
| | | |
| | | shreal_init(sph,l); //this is for TESTING only! |
| | | return sph; |
| | | } |
| | | |
| | | ts_bool complex_sph_free(ts_spharm *sph){ |
| | | int i,j; |
| | | if(sph==NULL) return TS_FAIL; |
| | | shreal_free(sph); //this is for TESTING only! |
| | | for(i=0;i<sph->l;i++){ |
| | | if(sph->ulm[i]!=NULL) free(sph->ulm[i]); |
| | | if(sph->ulmComplex[i]!=NULL) free(sph->ulmComplex[i]); |
| | |
| | | } |
| | | |
| | | |
| | | ts_double calculateKc(ts_vesicle *vesicle){ |
| | | |
| | | ts_int i,j; |
| | | ts_double calculateKc(ts_vesicle *vesicle, ts_int lmin, ts_int lmax){ |
| | | ts_int min=lmin; |
| | | ts_int max=lmax; //vesicle->sphHarmonics->l-3; |
| | | ts_long i,j; |
| | | ts_double retval, bval; |
| | | gsl_matrix *A=gsl_matrix_alloc(vesicle->sphHarmonics->l-1,2); |
| | | gsl_matrix *A=gsl_matrix_alloc(max-min,2); |
| | | gsl_vector *tau=gsl_vector_alloc(2); |
| | | gsl_vector *b=gsl_vector_alloc(vesicle->sphHarmonics->l-1); |
| | | gsl_vector *b=gsl_vector_alloc(max-min); |
| | | gsl_vector *x=gsl_vector_alloc(2); |
| | | gsl_vector *res=gsl_vector_alloc(vesicle->sphHarmonics->l-1); |
| | | gsl_vector *res=gsl_vector_alloc(max-min); |
| | | |
| | | //solving (A^T*A)*x=A^T*b |
| | | //fill the data for matrix A and vector b |
| | | for(i=1;i<vesicle->sphHarmonics->l;i++){ |
| | | gsl_matrix_set(A, i-1,0,(ts_double)((i-1)*(i+2))); |
| | | gsl_matrix_set(A, i-1,1,(ts_double)((i-1)*(i+2)*(i+1)*i)); |
| | | |
| | | bval=0; |
| | | for(i=min;i<max;i++){ |
| | | gsl_matrix_set(A, i-min,0,(ts_double)((i-1)*(i+2))); |
| | | gsl_matrix_set(A, i-min,1,(ts_double)((i-1)*(i+2)*(i+1)*i)); |
| | | // fprintf(stderr,"%e %e\n", gsl_matrix_get(A,i-min,0), gsl_matrix_get(A,i-min,1)); |
| | | bval=0.0; |
| | | //average for m from 0..l (only positive m's) |
| | | for(j=0;j<i;j++){ |
| | | for(j=0;j<=i;j++){ |
| | | bval+=vesicle->sphHarmonics->sumUlm2[i][(j+i)]; |
| | | } |
| | | bval=bval/(ts_double)vesicle->sphHarmonics->N/(ts_double)i; |
| | | bval=bval/(ts_double)vesicle->sphHarmonics->N/(ts_double)(i+1); |
| | | |
| | | gsl_vector_set(b,i-1,1.0/bval); |
| | | gsl_vector_set(b,i-min,1.0/bval); |
| | | // fprintf(stderr,"%e\n", 1.0/gsl_vector_get(b,i-min)); |
| | | } |
| | | // fprintf(stderr,"b[2]=%e\n",gsl_vector_get(b,1)); |
| | | gsl_linalg_QR_decomp(A,tau); |
| | |
| | | |
| | | return retval; |
| | | } |
| | | |
| | | |
| | | ts_bool saveAvgUlm2Complex(ts_vesicle *vesicle){ |
| | | |
| | | FILE *fh; |
| | | char filename[10000]; |
| | | strcpy(filename, command_line_args.path); |
| | | strcat(filename, "sph2out.dat"); |
| | | fh=fopen(filename, "w"); |
| | | if(fh==NULL){ |
| | | err("Cannot open file %s for writing"); |
| | | return TS_FAIL; |
| | | } |
| | | |
| | | ts_spharm *sph=vesicle->sphHarmonics; |
| | | ts_int i,j; |
| | | fprintf(fh,"l,\tm,\tulm^2avg\n"); |
| | | for(i=0;i<sph->l;i++){ |
| | | for(j=0;j<2*i+1;j++){ |
| | | fprintf(fh,"%d,\t%d,\t%e\n", i, j-i, sph->sumUlm2[i][j]/(ts_double)sph->N); |
| | | |
| | | } |
| | | fprintf(fh,"\n"); |
| | | } |
| | | fclose(fh); |
| | | return TS_SUCCESS; |
| | | } |