From d5d78a49c6b51fb1f6f0661d063034eaf65e02f7 Mon Sep 17 00:00:00 2001
From: Samo Penic <samo.penic@gmail.com>
Date: Wed, 25 Sep 2019 09:20:36 +0000
Subject: [PATCH] Constant volume and constant area fix. Removed spherical harmonics calculations in simulations. No ulm2.cvs and state.dat files are produced anymore

---
 src/shcomplex.c |   70 ++++++++++++++++++++++++++++++++++
 1 files changed, 69 insertions(+), 1 deletions(-)

diff --git a/src/shcomplex.c b/src/shcomplex.c
index d9488ca..4090346 100644
--- a/src/shcomplex.c
+++ b/src/shcomplex.c
@@ -1,8 +1,14 @@
+/* vim: set ts=4 sts=4 sw=4 noet : */
 #include<math.h>
 #include<stdlib.h>
+#include<string.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 +70,7 @@
     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 +118,27 @@
     return TS_SUCCESS;
 }
 
+char *Ulm2Complex2String(ts_vesicle *vesicle){
+	ts_int i,j;
+	char *strng=(char *)calloc(5000, sizeof(char));
+	char tmpstrng[255];
+	for(i=0;i<vesicle->sphHarmonics->l;i++){
+    		for(j=i;j<2*i+1;j++){
+			sprintf(tmpstrng,"%e ", gsl_complex_abs2(vesicle->sphHarmonics->ulmComplex[i][j]));
+			strcat(strng,tmpstrng);
+    		}
+	}
+	//strcat(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 +152,44 @@
 	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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