int
main (void)
{
int i = 0;
size_t n = 100;
gsl_vector * v = gsl_vector_alloc (100);
for (i = 0; i < n; i++)
{
gsl_vector_set (v, i, 1.23 + i);
}
gsl_vector_view v_sub = gsl_vector_subvector (v, 0, 10);
// If i lies outside the allowed range of 0 to 10 - 1 then the error handler is invoked.
for (i = 0; i < 10; i++)
{
printf ("v_%d = %g\n", i, gsl_vector_get (&v_sub.vector, i));
}
gsl_vector_view v_even = gsl_vector_subvector_with_stride (v, 0, 2, n/2);
gsl_vector_set_zero (&v_even.vector);
double r_v = gsl_blas_dnrm2 (v);
gsl_vector_view v_odd = gsl_vector_subvector_with_stride (v, 1, 2, n/2);
double r_v_odd = gsl_blas_dnrm2 (&v_odd.vector);
// If the even elements of the vector v are zero,
// the norm of the vector v is equivalent to the norm of the odd elements of v.
double k = r_v - r_v_odd;
gsl_vector_free (v);
printf ("\ndifferences = %g (should be zero)\n", k);
return 0;
}
int Holling2(double t, const double y[], double ydot[], void *params){
double alpha = 0.3; // respiration
double lambda = 0.65; // ecologic efficiency
double hand = 0.35; // handling time
double beta = 0.5; // intraspecific competition
double aij = 6.0; // attack rate
//double migratingPop = 0.01;
int i, j,l = 0; // Hilfsvariablen
double rowsum = 0;
//double colsum = 0;
// int test = 0;
//
// if(test<5)
// {
// printf("Richtiges Holling");
// }
// test++;
//-- Struktur zerlegen-------------------------------------------------------------------------------------------------------------------------------
struct foodweb *nicheweb = (struct foodweb *)params; // pointer cast from (void*) to (struct foodweb*)
//printf("t in Holling 2=%f\n", t);
gsl_vector *network = (nicheweb->network); // Inhalt: A+linksA+Y+linksY+Massen+Trophische_Level = (Rnum+S)²+1+Y²+1+(Rnum+S)+S
int S = nicheweb->S;
int Y = nicheweb->Y;
int Rnum = nicheweb->Rnum;
//double d = nicheweb->d;
int Z = nicheweb->Z;
//double dij = pow(10, d);
double Bmigr = gsl_vector_get(network, (Rnum+S)*(S+Rnum)+1+Y*Y+1+(Rnum+S)+S);
//printf("Bmigr ist %f\n", Bmigr);
double nu,mu, tau;
int SpeciesNumber;
tau = gsl_vector_get(nicheweb->migrPara,0);
mu = gsl_vector_get(nicheweb->migrPara,1);
// if((int)nu!=0)
// {
// printf("nu ist nicht null sondern %f\n",nu);
// }
nu = gsl_vector_get(nicheweb->migrPara,2);
SpeciesNumber = gsl_vector_get(nicheweb->migrPara,3);
double tlast = gsl_vector_get(nicheweb->migrPara,4);
// if(SpeciesNumber!= 0)
// {
// //printf("SpeciesNumber %i\n", SpeciesNumber);
// }
//printf("t oben %f\n",t);
//int len = (Rnum+S)*(Rnum+S)+2+Y*Y+(Rnum+S)+S;
gsl_vector_view A_view = gsl_vector_subvector(network, 0, (Rnum+S)*(Rnum+S)); // Fressmatrix A als Vektor
gsl_matrix_view EA_mat = gsl_matrix_view_vector(&A_view.vector, (Rnum+S), (Rnum+S)); // A als Matrix_view
gsl_matrix *EAmat = &EA_mat.matrix; // A als Matrix
gsl_vector_view D_view = gsl_vector_subvector(network, (Rnum+S)*(Rnum+S)+1, Y*Y); // Migrationsmatrix D als Vektor
gsl_matrix_view ED_mat = gsl_matrix_view_vector(&D_view.vector, Y, Y); // D als Matrixview
gsl_matrix *EDmat = &ED_mat.matrix; // D als Matrix
gsl_vector_view M_vec = gsl_vector_subvector(network, ((Rnum+S)*(Rnum+S))+1+(Y*Y)+1, (Rnum+S)); // Massenvektor
gsl_vector *Mvec = &M_vec.vector;
//-- verändere zu dem gewünschten Zeitpunkt Migrationsmatrix
if( (t > tau) && (tlast < tau))
{
//printf("mu ist %f\n", gsl_vector_get(nicheweb->migrPara,1));
//printf("nu ist %f\n", nu);
gsl_vector_set(nicheweb->migrPara,4,t);
//printf("Setze Link für gewünschte Migration\n");
// printf("t oben %f\n",t);
// printf("tlast oben %f\n",tlast);
gsl_matrix_set(EDmat, nu, mu, 1.);
//int m;
// for(l = 0; l< Y;l++)
// {
// for(m=0;m<Y;m++)
// {
// printf("%f\t",gsl_matrix_get(EDmat,l,m));
// }
// printf("\n");
// }
}
else
{
gsl_matrix_set_zero(EDmat);
}
// printf("\ncheckpoint Holling2 I\n");
// printf("\nS = %i\n", S);
// printf("\nS + Rnum = %i\n", S+Rnum);
//
// printf("\nSize A_view = %i\n", (int)A_view.vector.size);
// printf("\nSize D_view = %i\n", (int)D_view.vector.size);
// printf("\nSize M_vec = %i\n", (int)M_vec.vector.size);
// for(i=0; i<(Rnum+S)*Y; i++){
// printf("\ny = %f\n", y[i]);
// }
// for(i=0; i<(Rnum+S)*Y; i++){
// printf("\nydot = %f\n", ydot[i]);
// }
//--zusätzliche Variablen anlegen-------------------------------------------------------------------------------------------------------------
double ytemp[(Rnum+S)*Y];
for(i=0; i<(Rnum+S)*Y; i++) ytemp[i] = y[i]; // temp array mit Kopie der Startwerte
for(i=0; i<(Rnum+S)*Y; i++) ydot[i] = 0; // Ergebnis, in das evolve_apply schreibt
gsl_vector_view yfddot_vec = gsl_vector_view_array(ydot, (Rnum+S)*Y); //Notiz: vector_view_array etc. arbeiten auf den original Daten der ihnen zugeordneten Arrays/Vektoren!
gsl_vector *yfddotvec = &yfddot_vec.vector; // zum einfacheren Rechnen ydot über vector_view_array ansprechen
gsl_vector_view yfd_vec = gsl_vector_view_array(ytemp, (Rnum+S)*Y);
gsl_vector *yfdvec = &yfd_vec.vector; // Startwerte der Populationen
//-- neue Objekte zum Rechnen anlegen--------------------------------------------------------------------------------------------------------
gsl_matrix *AFgsl = gsl_matrix_calloc(Rnum+S, Rnum+S); // matrix of foraging efforts
// gsl_matrix *ADgsl = gsl_matrix_calloc(Y,Y); // matrix of migration efforts
gsl_matrix *Emat = gsl_matrix_calloc(Rnum+S, Rnum+S); // gsl objects for calculations of populations
gsl_vector *tvec = gsl_vector_calloc(Rnum+S);
gsl_vector *rvec = gsl_vector_calloc(Rnum+S);
gsl_vector *svec = gsl_vector_calloc(Rnum+S);
// gsl_matrix *Dmat = gsl_matrix_calloc(Y,Y); // gsl objects for calculations of migration
// gsl_vector *d1vec = gsl_vector_calloc(Y);
gsl_vector *d2vec = gsl_vector_calloc(Y);
gsl_vector *d3vec = gsl_vector_calloc(Y);
// printf("\ncheckpoint Holling2 III\n");
//-- Einzelne Patches lösen------------------------------------------------------------------------------------------------------------
for(l=0; l<Y; l++) // start of patch solving
{
gsl_matrix_set_zero(AFgsl); // Objekte zum Rechnen vor jedem Patch nullen
gsl_matrix_set_zero(Emat);
gsl_vector_set_zero(tvec);
gsl_vector_set_zero(rvec);
gsl_vector_set_zero(svec);
gsl_vector_view ydot_vec = gsl_vector_subvector(yfddotvec, (Rnum+S)*l, (Rnum+S)); // enthält ydot von Patch l
gsl_vector *ydotvec = &ydot_vec.vector;
gsl_vector_view y_vec = gsl_vector_subvector(yfdvec, (Rnum+S)*l, (Rnum+S)); // enthält Startwerte der Population in l
gsl_vector *yvec = &y_vec.vector;
gsl_matrix_memcpy(AFgsl, EAmat);
for(i=0; i<Rnum+S; i++)
{
gsl_vector_view rowA = gsl_matrix_row(AFgsl,i);
rowsum = gsl_blas_dasum(&rowA.vector);
if(rowsum !=0 )
{
for(j=0; j<Rnum+S; j++)
gsl_matrix_set(AFgsl, i, j, (gsl_matrix_get(AFgsl,i,j)/rowsum)); // normiere Beute Afgsl = A(Beutelinks auf 1 normiert) = f(i,j)
}
}
gsl_matrix_memcpy(Emat, EAmat); // Emat = A
gsl_matrix_scale(Emat, aij); // Emat(i,j) = a(i,j)
gsl_matrix_mul_elements(Emat, AFgsl); // Emat(i,j) = a(i,j)*f(i,j)
gsl_vector_memcpy(svec, yvec); // s(i) = y(i)
gsl_vector_scale(svec, hand); // s(i) = y(i)*h
gsl_blas_dgemv(CblasNoTrans, 1, Emat, svec, 0, rvec); // r(i) = Sum_k h*a(i,k)*f(i,k)*y(k)
gsl_vector_add_constant(rvec, 1); // r(i) = 1+Sum_k h*a(i,k)*f(i,k)*y(k)
gsl_vector_memcpy(tvec, Mvec); // t(i) = masse(i)^(-0.25)
gsl_vector_div(tvec, rvec); // t(i) = masse(i)^(-0.25)/(1+Sum_k h*a(i,k)*f(i,k)*y(k))
gsl_vector_mul(tvec, yvec); // t(i) = masse(i)^(-0.25)*y(i)/(1+Sum_k h*a(i,k)*f(i,k)*y(k))
gsl_blas_dgemv(CblasTrans, 1, Emat, tvec, 0, rvec); // r(i) = Sum_j a(j,i)*f(j,i)*t(j)
gsl_vector_mul(rvec, yvec); // r(i) = Sum_j a(j,i)*f(j,i)*t(j)*y(i) [rvec: Praedation]
gsl_blas_dgemv(CblasNoTrans, lambda, Emat, yvec, 0, ydotvec); // ydot(i) = Sum_j lambda*a(i,j)*f(i,j)*y(j)
gsl_vector_mul(ydotvec, tvec); // ydot(i) = Sum_j lambda*a(i,j)*f(i,j)*y(j)*t(i)
gsl_vector_memcpy(svec, Mvec);
gsl_vector_scale(svec, alpha); // s(i) = alpha*masse^(-0.25) [svec=Respiration bzw. Mortalitaet]
gsl_vector_memcpy(tvec, Mvec);
gsl_vector_scale(tvec, beta); // t(i) = beta*masse^(-0.25)
gsl_vector_mul(tvec, yvec); // t(i) = beta*y(i)
gsl_vector_add(svec, tvec); // s(i) = alpha*masse^(-0.25)+beta*y(i)
gsl_vector_mul(svec, yvec); // s(i) = alpha*masse^(-0.25)*y(i)+beta*y(i)*y(i)
gsl_vector_add(svec, rvec); // [svec: Respiration, competition und Praedation]
gsl_vector_sub(ydotvec, svec); // ydot(i) = Fressen-Respiration-Competition-Praedation
for(i=0; i<Rnum; i++)
gsl_vector_set(ydotvec, i, 0.0); // konstante Ressourcen
}// Ende Einzelpatch, Ergebnis steht in ydotvec
// printf("\ncheckpoint Holling2 IV\n");
//-- Migration lösen---------------------------------------------------------------------------------------------------------
gsl_vector *ydottest = gsl_vector_calloc(Y);
double ydotmigr = gsl_vector_get(nicheweb->migrPara, 5);
// int count=0,m;
// for(l = 0; l< Y;l++)
// {
// for(m=0;m<Y;m++)
// {
// count += gsl_matrix_get(EDmat,l,m);
// }
// }
// if(count!=0)
// {
// //printf("count %i\n",count);
// //printf("t unten %f\n",t);
// //printf("tau %f\n",tau);
// for(l = 0; l< Y;l++)
// {
// for(m=0;m<Y;m++)
// {
// printf("%f\t",gsl_matrix_get(EDmat,l,m));
// }
// printf("\n");
// }
// }
double max = gsl_matrix_max(EDmat);
for(l = Rnum; l< Rnum+S; l++) // start of migration solving
{
if(l == SpeciesNumber+Rnum && max !=0 )
{
//printf("max ist %f\n",max);
//printf("l ist %i\n",l);
// gsl_matrix_set_zero(ADgsl); // reset gsl objects for every patch
// gsl_matrix_set_zero(Dmat);
// gsl_vector_set_zero(d1vec);
gsl_vector_set_zero(d2vec);
gsl_vector_set_zero(d3vec);
gsl_vector_set_zero(ydottest);
// Untervektor von yfddot (enthält ydot[]) mit offset l (Rnum...Rnum+S) und Abstand zwischen den Elementen (stride) von Rnum+S.
// Dies ergibt gerade die Größe einer Spezies in jedem Patch in einem Vektor
gsl_vector_view dydot_vec = gsl_vector_subvector_with_stride(yfddotvec, l, (Rnum+S), Y); // ydot[]
gsl_vector *dydotvec = &dydot_vec.vector;
/*
gsl_vector_view dy_vec = gsl_vector_subvector_with_stride(yfdvec, l, (Rnum+S), Y); // Startgrößen der Spezies pro Patch
gsl_vector *dyvec = &dy_vec.vector;
*/
// gsl_matrix_memcpy(ADgsl, EDmat); // ADgsl = D
//
// if(nicheweb->M == 1) // umschalten w: patchwise (Abwanderung aus jedem Patch gleich), sonst linkwise (Abwanderung pro link gleich)
// {
// for(i=0; i<Y; i++)
// {
// gsl_vector_view colD = gsl_matrix_column(ADgsl, i); // Spalte i aus Migrationsmatrix
// colsum = gsl_blas_dasum(&colD.vector);
// if(colsum!=0)
// {
// for(j=0;j<Y;j++)
// gsl_matrix_set(ADgsl,j,i,(gsl_matrix_get(ADgsl,j,i)/colsum)); // ADgsl: D mit normierten Links
// }
// }
// }
//
// gsl_matrix_memcpy(Dmat, EDmat); // Dmat = D
// gsl_matrix_scale(Dmat, dij); // Dmat(i,j) = d(i,j) (Migrationsstärke)
// gsl_matrix_mul_elements(Dmat, ADgsl); // Dmat(i,j) = d(i,j)*xi(i,j) (skalierte und normierte Migrationsmatrix)
//
// gsl_vector_set_all(d1vec, 1/gsl_vector_get(Mvec, l)); // d1(i)= m(l)^0.25
// gsl_vector_mul(d1vec, dyvec); // d1(i)= m(l)^0.25*y(i)
// gsl_blas_dgemv(CblasNoTrans, 1, Dmat, d1vec, 0, d2vec); // d2(i)= Sum_j d(i,j)*xi(i,j)*m(l)^0.25*y(j)
//
// gsl_vector_set_all(d1vec, 1); // d1(i)= 1
// gsl_blas_dgemv(CblasTrans, 1, Dmat, d1vec, 0, d3vec); // d3(i)= Sum_j d(i,j)*xi(i,j)
// gsl_vector_scale(d3vec, 1/gsl_vector_get(Mvec,l)); // d3(i)= Sum_j d(i,j)*xi(i,j)*m(l)^0.25
// gsl_vector_mul(d3vec, dyvec); // d3(i)= Sum_j d(i,j)*xi(i,j)*m(l)^0.25*y(i)
//
gsl_vector_set(d2vec,nu,Bmigr);
gsl_vector_set(d3vec,mu,Bmigr);
gsl_vector_add(ydottest,d2vec);
gsl_vector_sub(ydottest,d3vec);
//printf("d2vec ist %f\n",gsl_vector_get(d2vec,0));
//printf("d3vec ist %f\n",gsl_vector_get(d3vec,0));
//if(gsl_vector_get(ydottest,mu)!=0)
//{
ydotmigr += gsl_vector_get(ydottest,nu);
// printf("ydotmigr ist %f\n",ydotmigr);
gsl_vector_set(nicheweb->migrPara,5,ydotmigr);
// if(ydotmigr !=0)
// {
// printf("ydottest aufaddiert ist %f\n",ydotmigr);
// printf("ydottest aufaddiert ist %f\n",gsl_vector_get(nicheweb->migrPara,5));
// }
gsl_vector_add(dydotvec, d2vec); //
gsl_vector_sub(dydotvec, d3vec); // Ergebnis in dydotvec (also ydot[]) = Sum_j d(i,j)*xi(i,j)*m(l)^0.25*y(j) - Sum_j d(i,j)*xi(i,j)*m(l)^0.25*y(i)
}
}// Patch i gewinnt das was aus allen j Patches zuwandert und verliert was von i auswandert
//printf("ydot ist %f\n",gsl_vector_get(ydottest,0));
//printf("\ncheckpoint Holling2 V\n");
/*
for(i=0; i<(Rnum+S)*Y; i++){
printf("\ny = %f\tydot=%f\n", y[i], ydot[i]);
}
*/
//--check for fixed point attractor-----------------------------------------------------------------------------------
if(t>7800){
gsl_vector_set(nicheweb->fixpunkte, 0, 0);
gsl_vector_set(nicheweb->fixpunkte, 1, 0);
gsl_vector_set(nicheweb->fixpunkte, 2, 0);
int fix0 = (int)gsl_vector_get(nicheweb->fixpunkte, 0);
int fix1 = (int)gsl_vector_get(nicheweb->fixpunkte, 1);
int fix2 = (int)gsl_vector_get(nicheweb->fixpunkte, 2);
//printf("t unten = %f\n", t);
for(i=0; i<(Rnum+S)*Y; i++)
{
if(y[i] <= 0)
{
fix0++;
fix1++;
fix2++;
}
else
{
if((ydot[i]/y[i]<0.0001) || (ydot[i]<0.0001)) fix0++;
if(ydot[i]/y[i]<0.0001) fix1++;
if(ydot[i]<0.0001) fix2++;
}
}
if(fix0==(Rnum+S)*Y) gsl_vector_set(nicheweb->fixpunkte, 3, 1);
if(fix1==(Rnum+S)*Y) gsl_vector_set(nicheweb->fixpunkte, 4, 1);
if(fix2==(Rnum+S)*Y) gsl_vector_set(nicheweb->fixpunkte, 5, 1);
}
//--Speicher leeren-----------------------------------------------------------------------------------------------------
gsl_matrix_free(Emat);
// gsl_matrix_free(Dmat);
gsl_matrix_free(AFgsl);
// gsl_matrix_free(ADgsl);
gsl_vector_free(tvec);
gsl_vector_free(rvec);
gsl_vector_free(svec);
// gsl_vector_free(d1vec);
gsl_vector_free(d2vec);
gsl_vector_free(d3vec);
gsl_vector_free(ydottest);
// printf("\nCheckpoint Holling2 VI\n");
return GSL_SUCCESS;
}
