int main() {
const int nodes=10, skip=3;
igraph_matrix_t mat2;
igraph_vector_complex_t values, values2;
igraph_matrix_complex_t vectors, vectors2;
igraph_eigen_which_t which;
int i;
igraph_rng_seed(igraph_rng_default(), 42);
igraph_matrix_init(&mat2, nodes, nodes);
for (i=0; i<nodes; i++) {
int j;
for (j=0; j<nodes; j++) {
MATRIX(mat2, i, j) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
igraph_vector_complex_init(&values, 0);
igraph_matrix_complex_init(&vectors, 0, 0);
which.pos=IGRAPH_EIGEN_LI;
which.howmany=nodes;
igraph_eigen_matrix(&mat2, /*sparsemat=*/ 0, /*fun=*/ 0, nodes,
/*extra=*/ 0, IGRAPH_EIGEN_LAPACK, &which,
/*options=*/ 0, /*storage=*/ 0, &values, &vectors);
igraph_vector_complex_init(&values2, 0);
igraph_matrix_complex_init(&vectors2, 0, 0);
which.pos=IGRAPH_EIGEN_SI;
which.howmany=nodes;
igraph_eigen_matrix(&mat2, /*sparsemat=*/ 0, /*fun=*/ 0, nodes,
/*extra=*/ 0, IGRAPH_EIGEN_LAPACK, &which,
/*options=*/ 0, /*storage=*/ 0, &values2, &vectors2);
igraph_vector_complex_print(&values);
igraph_vector_complex_print(&values2);
for (i=0; i<nodes; i++) {
int j;
igraph_real_t d=
igraph_complex_abs(igraph_complex_sub(VECTOR(values)[i],
VECTOR(values2)[nodes-i-1]));
if (d > 1e-15) { DUMP(); return 2; }
for (j=0; j<nodes; j++) {
igraph_real_t d=
igraph_complex_abs(igraph_complex_sub(MATRIX(vectors, j, i),
MATRIX(vectors2, j,
nodes-i-1)));
if (d > 1e-15) { DUMP(); return 3; }
}
}
igraph_vector_complex_destroy(&values);
igraph_matrix_complex_destroy(&vectors);
igraph_vector_complex_destroy(&values2);
igraph_matrix_complex_destroy(&vectors2);
igraph_matrix_destroy(&mat2);
return 0;
}
int main() {
igraph_matrix_t A;
igraph_vector_t values;
igraph_matrix_t vectors;
int i, j;
igraph_eigen_which_t which;
igraph_rng_seed(igraph_rng_default(), 42 * 42);
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&vectors, 0, 0);
igraph_vector_init(&values, 0);
/* All eigenvalues and eigenvectors */
for (i=0; i<DIM; i++) {
for (j=i; j<DIM; j++) {
MATRIX(A, i, j) = MATRIX(A, j, i) =
igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
which.pos=IGRAPH_EIGEN_LM;
which.howmany=5;
igraph_eigen_matrix_symmetric(&A, /*sA=*/ 0, /*fun=*/ 0, DIM, /*extra=*/ 0,
IGRAPH_EIGEN_LAPACK, &which, /*options=*/ 0,
/*storage=*/ 0, &values, &vectors);
igraph_vector_print(&values);
check_ev(&A, &values, &vectors);
which.howmany=8;
igraph_eigen_matrix_symmetric(&A, /*sA=*/ 0, /*fun=*/ 0, DIM, /*extra=*/ 0,
IGRAPH_EIGEN_LAPACK, &which, /*options=*/ 0,
/*storage=*/ 0, &values, &vectors);
igraph_vector_print(&values);
check_ev(&A, &values, &vectors);
which.pos=IGRAPH_EIGEN_BE;
which.howmany=5;
igraph_eigen_matrix_symmetric(&A, /*sA=*/ 0, /*fun=*/ 0, DIM, /*extra=*/ 0,
IGRAPH_EIGEN_LAPACK, &which, /*options=*/ 0,
/*storage=*/ 0, &values, &vectors);
igraph_vector_print(&values);
check_ev(&A, &values, &vectors);
which.pos=IGRAPH_EIGEN_SM;
which.howmany=5;
igraph_eigen_matrix_symmetric(&A, /*sA=*/ 0, /*fun=*/ 0, DIM, /*extra=*/ 0,
IGRAPH_EIGEN_LAPACK, &which, /*options=*/ 0,
/*storage=*/ 0, &values, &vectors);
igraph_vector_print(&values);
check_ev(&A, &values, &vectors);
igraph_vector_destroy(&values);
igraph_matrix_destroy(&vectors);
igraph_matrix_destroy(&A);
return 0;
}
int main() {
igraph_matrix_t A;
igraph_matrix_t vectors_left, vectors_right;
igraph_vector_t values_real, values_imag;
int i, j;
int info=1;
int ilo, ihi;
igraph_real_t abnrm;
igraph_rng_seed(igraph_rng_default(), 42);
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&vectors_left, 0, 0);
igraph_matrix_init(&vectors_right, 0, 0);
igraph_vector_init(&values_real, 0);
igraph_vector_init(&values_imag, 0);
for (i=0; i<DIM; i++) {
for (j=0; j<DIM; j++) {
MATRIX(A, i, j) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
igraph_lapack_dgeevx(IGRAPH_LAPACK_DGEEVX_BALANCE_BOTH,
&A, &values_real, &values_imag,
&vectors_left, &vectors_right, &ilo, &ihi,
/*scale=*/ 0, &abnrm, /*rconde=*/ 0,
/*rcondv=*/ 0, &info);
if (check_ev(&A, &values_real, &values_imag,
&vectors_left, &vectors_right, /*tol=*/ 1e-8)) {
return 1;
}
/* igraph_matrix_print(&A); */
/* igraph_vector_print(&values_real); */
/* igraph_vector_print(&values_imag); */
/* igraph_matrix_print(&vectors_left); */
/* igraph_matrix_print(&vectors_right); */
igraph_vector_destroy(&values_imag);
igraph_vector_destroy(&values_real);
igraph_matrix_destroy(&vectors_right);
igraph_matrix_destroy(&vectors_left);
igraph_matrix_destroy(&A);
return 0;
}
int main() {
igraph_matrix_t A;
igraph_matrix_t values, vectors;
igraph_arpack_options_t options;
cb2_data_t data = { &A };
int i, j;
igraph_rng_seed(igraph_rng_default(), 42 * 42);
igraph_matrix_init(&A, DIM, DIM);
for (i=0; i<DIM; i++) {
for (j=0; j<DIM; j++) {
MATRIX(A, i, j) = igraph_rng_get_integer(igraph_rng_default(), -10, 10);
}
}
igraph_arpack_options_init(&options);
options.n=DIM;
options.start=0;
options.nev=4;
options.ncv=9;
options.which[0]='L' ; options.which[1]='M';
igraph_matrix_init(&values, 0, 0);
igraph_matrix_init(&vectors, options.n, 1);
igraph_arpack_rnsolve(cb2, /*extra=*/ &data, &options, /*storage=*/ 0,
&values, &vectors);
if (MATRIX(values, 2, 1) > 0) {
MATRIX(values, 2, 1) = -MATRIX(values, 2, 1);
MATRIX(values, 3, 1) = -MATRIX(values, 3, 1);
}
igraph_matrix_print(&values);
printf("---\n");
igraph_matrix_print(&vectors);
printf("---\n");
/* -------------- */
options.nev=3;
options.which[0]='L' ; options.which[1]='M';
igraph_arpack_rnsolve(cb2, /*extra=*/ &data, &options, /*storage=*/ 0,
&values, &vectors);
if (MATRIX(values, 2, 1) > 0) {
MATRIX(values, 2, 1) = -MATRIX(values, 2, 1);
}
igraph_matrix_print(&values);
printf("---\n");
igraph_matrix_print(&vectors);
printf("---\n");
/* -------------- */
options.nev=3;
options.which[0]='S' ; options.which[1]='R';
igraph_arpack_rnsolve(cb2, /*extra=*/ &data, &options, /*storage=*/ 0,
&values, &vectors);
igraph_matrix_print(&values);
printf("---\n");
igraph_matrix_print(&vectors);
printf("---\n");
/* -------------- */
options.nev=3;
options.which[0]='L' ; options.which[1]='I';
igraph_arpack_rnsolve(cb2, /*extra=*/ &data, &options, /*storage=*/ 0,
&values, &vectors);
igraph_matrix_print(&values);
printf("---\n");
igraph_matrix_print(&vectors);
printf("---\n");
/* -------------- */
igraph_matrix_destroy(&values);
igraph_matrix_destroy(&vectors);
igraph_matrix_destroy(&A);
return 0;
}
static PyObject *ignp_fun_propagate(PyObject *self, PyObject *args) {
long int num_active = 0;
long int num_susc = 1;
long int limit = 30;
long int i;
float lrAct;
PyObject* mem_addr_o;
long int mem_addr;
/* StateTracker Vars */
PyArrayObject *py_trkr; // 'i64'
/* By EdgeID */
PyArrayObject *py_tie_r; // 'f32'
/* By NodeID */
PyArrayObject *py_act_n; // 'i8'
PyArrayObject *py_thr_n; // 'f32'
PyArrayObject *py_exp_n; // 'i64'
/* By Infection Order*/
PyArrayObject *py_deg; // i64
PyArrayObject *py_nSuc; // i64
PyArrayObject *py_nAct; // i64
PyArrayObject *py_lrAct; // f32
PyArrayObject *py_hom; // i64
PyArrayObject *py_eComp; // i64
PyArrayObject *py_iComp; // i64
PyArrayObject *py_eTri; // i64
PyArrayObject *py_iTri; // i64
PyArrayObject *py_thr; // i32
PyArrayObject *py_exp; // i64
PyArrayObject *py_cTime; // i64
PyObject *g_obj;
igraph_t *g;
igraph_t gc;
long int randID;
long int low = 0;
long int high = -1;
long int ctime = 0;
igraph_rng_t *rGen;
igraph_vit_t nbr_iter;
igraph_vs_t nbr_sel;
igraph_integer_t eid;
igraph_integer_t vdeg;
igraph_integer_t e_comp = 0;
igraph_integer_t i_comp = 0;
igraph_integer_t e_tri = 0;
igraph_integer_t i_tri = 0;
int actv_nbr_count;
//int res, j;
igraph_vector_t temp;
//igraph_vector_t actv_nbrs;
//PySys_WriteStdout("Parse Started\n");
if (!PyArg_ParseTuple(args, "OO!O!O!O!O!O!O!O!O!O!O!O!O!O!O!O!O!",
&g_obj,
&PyArray_Type, &py_trkr, // i64
&PyArray_Type, &py_tie_r, // 'f32'
&PyArray_Type, &py_act_n, // 'i8'
&PyArray_Type, &py_thr_n, // 'i32'
&PyArray_Type, &py_exp_n, // 'i64'
&PyArray_Type, &py_deg, // i64
&PyArray_Type, &py_nSuc, // i64
&PyArray_Type, &py_nAct, // i64
&PyArray_Type, &py_lrAct, // f32
&PyArray_Type, &py_hom, // i64
&PyArray_Type, &py_eComp, // i64
&PyArray_Type, &py_iComp, // i64
&PyArray_Type, &py_eTri, // i64
&PyArray_Type, &py_iTri, // i64
&PyArray_Type, &py_thr, // i64
&PyArray_Type, &py_exp, // i64
&PyArray_Type, &py_cTime // i64
)) {
printf("Parse Failed\n");
Py_RETURN_NONE;
}
//PySys_WriteStdout("Getting Tracker Vars\n");
num_active = (long) ax_i64(py_trkr, 0);
num_susc = (long) ax_i64(py_trkr, 1);
limit = (long) ax_i64(py_trkr, 2);
mem_addr_o = PyObject_CallMethod(g_obj, "_raw_pointer", "()");
mem_addr = PyInt_AsLong(mem_addr_o);
Py_DECREF(mem_addr_o);
if (mem_addr == -1) {
printf("PyInt to Long Failed");
return NULL;
}
g = (igraph_t*) mem_addr;
//Setup Vars
rGen = igraph_rng_default();
//igraph_rng_init(rGen, time(NULL));
high += (long) igraph_vcount(g);
//PySys_WriteStdout("Propagate Starting with %li active of target %li with %li open\n",
// num_active, limit, num_susc);
//Propagate
do {
// get random node
ctime += 1;
randID = igraph_rng_get_integer(rGen, low, high);
if ( ax_i8(py_act_n, randID) != 1 && ax_i64(py_exp_n, randID)>=ax_i32(py_thr_n, randID) ){
//activate
ax_i8(py_act_n,randID) = 1;
lrAct = 0;
//update nbrs
actv_nbr_count = 0;
igraph_vs_adj( &nbr_sel, randID, IGRAPH_ALL);
igraph_vit_create(g, nbr_sel, &nbr_iter);
igraph_vs_size(g, &nbr_sel, &vdeg);
igraph_vector_init(&temp, vdeg);
while( !IGRAPH_VIT_END(nbr_iter) ){
i = (long int) IGRAPH_VIT_GET(nbr_iter);
ax_i64( py_exp_n, i ) += 1;
/* update active nbr count and collect id of active */
if ( ax_i8(py_act_n, i) == i ) {
VECTOR(temp)[actv_nbr_count]=i;
actv_nbr_count += 1;
}
/* update num_susc */
if ( ax_i8(py_act_n, i) == 0 && \
ax_i32(py_thr_n, i) > (float) (ax_i64(py_exp_n, i)-1) && \
ax_i32(py_thr_n, i) <= (float) ax_i64(py_exp_n, i) ){
/*PySys_WriteStdout("%li < %i <= %li\n",
(ax_i64(py_exp_n, i)-1),
ax_i32(py_thr_n, i),
ax_i64(py_exp_n, i) );*/
num_susc += 1;
}
/* Get #active long ties */
if ( ax_i8(py_act_n, i) == 1 ){
igraph_get_eid(g, &eid, randID, i, 0, 1);
lrAct += ax_f32( py_tie_r, eid )>2 ;
}
IGRAPH_VIT_NEXT(nbr_iter);
}
igraph_vit_destroy(&nbr_iter);
igraph_vs_destroy(&nbr_sel);
//Compute Components (among all and active nbrs)
igraph_vs_adj( &nbr_sel, randID, IGRAPH_ALL);
igraph_induced_subgraph(g, &gc, nbr_sel, IGRAPH_SUBGRAPH_CREATE_FROM_SCRATCH);
igraph_clusters(&gc, NULL, NULL, &e_comp, IGRAPH_WEAK);
e_tri = igraph_vcount(&gc);
igraph_destroy(&gc);
igraph_vs_destroy(&nbr_sel);
igraph_induced_subgraph(g, &gc, igraph_vss_vector(&temp), \
IGRAPH_SUBGRAPH_CREATE_FROM_SCRATCH);
igraph_clusters(&gc, NULL, NULL, &i_comp, IGRAPH_WEAK);
i_tri = igraph_vcount(&gc);
//Clean up
igraph_destroy(&gc);
igraph_vector_destroy(&temp);
//PySys_WriteStdout("e_comp: %i, i_comp: %i\n", e_comp, i_comp);
//PySys_WriteStdout("e_tri: %i, i_tri: %i\n", e_tri, i_tri);
//update tracking vars
ax_f32( py_lrAct, num_active ) = (npy_float32) lrAct;
ax_i32( py_thr, num_active) = ax_i32(py_thr_n, randID);
ax_i64( py_deg, num_active) = (npy_int64) vdeg;
ax_i64( py_nSuc, num_active) = (npy_int64) num_susc;
ax_i64( py_nAct, num_active) = (npy_int64) num_active;
//ax_i64( py_hom, num_active) = (npy_int64) num_susc;
ax_i64( py_eComp, num_active) = (npy_int64) e_comp;
ax_i64( py_iComp, num_active) = (npy_int64) i_comp;
ax_i64( py_eTri, num_active) = (npy_int64) e_tri;
ax_i64( py_iTri, num_active) = (npy_int64) i_tri;
ax_i64( py_exp, num_active) = ax_i64(py_exp_n, randID);
ax_i64( py_cTime, num_active) = (npy_int64) ctime;
num_active += 1;
}
} while( num_susc > num_active && num_active < limit);
//PySys_WriteStdout("Propagate Finished with %li active of target %li with %li open\n",
// num_active, limit, num_susc);
//igraph_rng_destroy(rGen);
ax_i64(py_trkr, 0) = (npy_int64) num_active;
ax_i64(py_trkr, 1) = (npy_int64) num_susc ;
ax_i64(py_trkr, 2) = (npy_int64) limit ;
Py_RETURN_NONE;
}