From c854bf8109ddce134fc0e6fc5c27e7e648bc7734 Mon Sep 17 00:00:00 2001
From: Samo Penic <samo.penic@gmail.com>
Date: Sat, 19 May 2018 17:16:50 +0000
Subject: [PATCH] Merge branch 'stretching-devel' of ssh://git.penic.eu:29418/trisurf-ng into stretching-devel

---
 src/shcomplex.c |   48 +++++++++++++++++++++++++++++++++++++++++++++++-
 1 files changed, 47 insertions(+), 1 deletions(-)

diff --git a/src/shcomplex.c b/src/shcomplex.c
index d9488ca..bd3a733 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){
@@ -125,3 +130,44 @@
 	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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