From aede7e0121a037fd7226a8bfd558eb21a932fa5a Mon Sep 17 00:00:00 2001
From: Samo Penic <samo.penic@gmail.com>
Date: Wed, 14 Aug 2019 21:30:25 +0000
Subject: [PATCH] Added additional functions to ease Ulm2 poststating
---
src/shcomplex.c | 67 +++++++++++++++++++++++++++++++++
1 files changed, 66 insertions(+), 1 deletions(-)
diff --git a/src/shcomplex.c b/src/shcomplex.c
index d9488ca..8492609 100644
--- a/src/shcomplex.c
+++ b/src/shcomplex.c
@@ -1,8 +1,13 @@
+/* vim: set ts=4 sts=4 sw=4 noet : */
#include<math.h>
#include<stdlib.h>
#include<gsl/gsl_complex.h>
#include<gsl/gsl_complex_math.h>
#include<gsl/gsl_sf_legendre.h>
+
+#include<gsl/gsl_matrix.h>
+#include<gsl/gsl_vector.h>
+#include<gsl/gsl_linalg.h>
#include "general.h"
#include "sh.h"
#include "shcomplex.h"
@@ -64,7 +69,7 @@
if(sph->co != NULL) free(sph->co);
if(sph->ulm !=NULL) free(sph->ulm);
if(sph->ulmComplex !=NULL) free(sph->ulmComplex);
-
+ if(sph->sumUlm2 !=NULL) free(sph->sumUlm2);
if(sph->Ylmi!=NULL) {
for(i=0;i<sph->l;i++){
if(sph->Ylmi[i]!=NULL){
@@ -112,6 +117,25 @@
return TS_SUCCESS;
}
+char *Ulm2Complex2String(ts_vesicle *vesicle){
+ ts_int i,j;
+ char *strng=(char *)calloc(5000, sizeof(char));
+ for(i=0;i<vesicle->sphHarmonics->l;i++){
+ for(j=i;j<2*i+1;j++){
+ sprintf(strng,"%e ", gsl_complex_abs2(vesicle->sphHarmonics->ulmComplex[i][j]));
+ }
+ }
+ sprintf(strng,"\n");
+
+ return strng;
+}
+
+ts_bool freeUlm2String(char *strng){
+ free(strng);
+ return TS_SUCCESS;
+}
+
+
ts_bool storeUlmComplex2(ts_vesicle *vesicle){
ts_spharm *sph=vesicle->sphHarmonics;
@@ -125,3 +149,44 @@
return TS_SUCCESS;
}
+
+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(max-min,2);
+ gsl_vector *tau=gsl_vector_alloc(2);
+ gsl_vector *b=gsl_vector_alloc(max-min);
+ gsl_vector *x=gsl_vector_alloc(2);
+ 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=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++){
+ bval+=vesicle->sphHarmonics->sumUlm2[i][(j+i)];
+ }
+ bval=bval/(ts_double)vesicle->sphHarmonics->N/(ts_double)(i+1);
+
+ 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);
+ gsl_linalg_QR_lssolve(A,tau,b,x,res);
+// fprintf(stderr,"kc=%e\n",gsl_vector_get(x,1));
+ retval=gsl_vector_get(x,1);
+ gsl_matrix_free(A);
+ gsl_vector_free(tau);
+ gsl_vector_free(b);
+ gsl_vector_free(x);
+ gsl_vector_free(res);
+
+ return retval;
+}
--
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