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; }