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#include "problem.hpp"
class nanException : public std::exception {
virtual const char* what() const throw() { return "The linear problem returned NaN."; }
} nanex;
problem::problem(const graph& G, unsigned axis, cholmod_sparse* vcmat, cholmod_common* c)
: G(G), axis(axis), voltcurmat(vcmat), c(c) {
b = CHOL_F(zeros)(G.vertices.size(), 1, CHOLMOD_REAL, c);
for (unsigned i = 0; i < G.edges.size(); i++) {
graph::coordinate v0 = G.vertices[G.edges[i].v[0]].r;
graph::coordinate v1 = G.vertices[G.edges[i].v[1]].r;
if (G.edges[i].crossings[axis]) {
bool ind;
if (axis == 1) {
ind = v0.y < v1.y ? 0 : 1;
} else {
ind = v0.x < v1.x ? 0 : 1;
}
((double*)b->x)[G.edges[i].v[ind]] += 1.0;
((double*)b->x)[G.edges[i].v[!ind]] -= 1.0;
}
}
unsigned nnz = G.vertices.size() + G.edges.size();
cholmod_triplet* t =
CHOL_F(allocate_triplet)(G.vertices.size(), G.vertices.size(), nnz, 1, CHOLMOD_REAL, c);
for (unsigned i = 0; i < G.vertices.size(); i++) {
((CHOL_INT*)t->i)[i] = i;
((CHOL_INT*)t->j)[i] = i;
((double*)t->x)[i] = 0.0;
}
unsigned terms = G.vertices.size();
std::unordered_map<std::array<unsigned, 2>, unsigned> known_edges;
for (unsigned i = 0; i < G.edges.size(); i++) {
unsigned v0 = G.edges[i].v[0];
unsigned v1 = G.edges[i].v[1];
((double*)t->x)[v0]++;
((double*)t->x)[v1]++;
unsigned s0 = v0 < v1 ? v0 : v1;
unsigned s1 = v0 < v1 ? v1 : v0;
auto it = known_edges.find({s0, s1});
if (it == known_edges.end()) {
((CHOL_INT*)t->i)[terms] = s1;
((CHOL_INT*)t->j)[terms] = s0;
((double*)t->x)[terms] = -1.0;
known_edges[{s0, s1}] = terms;
terms++;
} else {
((double*)t->x)[it->second] -= 1.0;
}
}
((double*)t->x)[0]++;
t->nnz = terms;
cholmod_sparse* laplacian = CHOL_F(triplet_to_sparse)(t, terms, c);
CHOL_F(free_triplet)(&t, c);
factor = CHOL_F(analyze)(laplacian, c);
CHOL_F(factorize)(laplacian, factor, c);
CHOL_F(free_sparse)(&laplacian, c);
sol.currents.resize(G.edges.size());
}
problem::problem(const graph& G, unsigned axis, cholmod_common* c) : problem(G, axis, NULL, c) {
cholmod_triplet* t = CHOL_F(allocate_triplet)(G.edges.size(), G.vertices.size(),
2 * G.edges.size(), 0, CHOLMOD_REAL, c);
t->nnz = 2 * G.edges.size();
for (unsigned i = 0; i < G.edges.size(); i++) {
((CHOL_INT*)t->i)[2 * i] = i;
((CHOL_INT*)t->j)[2 * i] = G.edges[i].v[0];
((double*)t->x)[2 * i] = 1.0;
((CHOL_INT*)t->i)[2 * i + 1] = i;
((CHOL_INT*)t->j)[2 * i + 1] = G.edges[i].v[1];
((double*)t->x)[2 * i + 1] = -1.0;
}
voltcurmat = CHOL_F(triplet_to_sparse)(t, 2 * G.edges.size(), c);
CHOL_F(free_triplet)(&t, c);
}
problem::problem(const problem& other) : G(other.G), axis(other.axis), c(other.c), sol(other.sol) {
b = CHOL_F(copy_dense)(other.b, c);
factor = CHOL_F(copy_factor)(other.factor, c);
voltcurmat = CHOL_F(copy_sparse)(other.voltcurmat, c);
}
problem::~problem() {
CHOL_F(free_dense)(&b, c);
CHOL_F(free_factor)(&factor, c);
CHOL_F(free_sparse)(&voltcurmat, c);
}
void problem::solve(std::vector<bool>& fuses) {
cholmod_dense* x = CHOL_F(solve)(CHOLMOD_A, factor, b, c);
if (((double*)x->x)[0] != ((double*)x->x)[0]) {
throw nanex;
}
cholmod_dense* y = CHOL_F(allocate_dense)(G.edges.size(), 1, G.edges.size(), CHOLMOD_REAL, c);
double alpha[2] = {1, 0};
double beta[2] = {0, 0};
CHOL_F(sdmult)(voltcurmat, 0, alpha, beta, x, y, c);
sol.conductivity = {0, 0};
for (int i = 0; i < G.edges.size(); i++) {
if (fuses[i]) {
sol.currents[i] = 0;
} else {
sol.currents[i] = ((double*)y->x)[i];
graph::coordinate v0 = G.vertices[G.edges[i].v[0]].r;
graph::coordinate v1 = G.vertices[G.edges[i].v[1]].r;
if (G.edges[i].crossings[axis]) {
bool comp;
if (axis == 1) {
comp = v0.y > v1.y;
} else {
comp = v0.x > v1.x;
}
if (comp) {
sol.currents[i] += 1.0;
sol.conductivity[axis] += sol.currents[i];
} else {
sol.currents[i] -= 1.0;
sol.conductivity[axis] -= sol.currents[i];
}
}
}
}
sol.conductivity[!axis] = 0.0;
CHOL_F(free_dense)(&x, c);
CHOL_F(free_dense)(&y, c);
}
void problem::break_edge(unsigned e, bool unbreak) {
unsigned v0 = G.edges[e].v[0];
unsigned v1 = G.edges[e].v[1];
unsigned n = factor->n;
cholmod_sparse* update_mat = CHOL_F(allocate_sparse)(n, n, 2, true, true, 0, CHOLMOD_REAL, c);
unsigned s1, s2;
s1 = v0 < v1 ? v0 : v1;
s2 = v0 < v1 ? v1 : v0;
CHOL_INT* pp = (CHOL_INT*)update_mat->p;
CHOL_INT* ii = (CHOL_INT*)update_mat->i;
double* xx = (double*)update_mat->x;
for (unsigned i = 0; i <= s1; i++) {
pp[i] = 0;
}
for (unsigned i = s1 + 1; i <= n; i++) {
pp[i] = 2;
}
ii[0] = s1;
ii[1] = s2;
xx[0] = 1;
xx[1] = -1;
cholmod_sparse* perm_update_mat =
CHOL_F(submatrix)(update_mat, (CHOL_INT*)factor->Perm, factor->n, NULL, -1, true, true, c);
CHOL_F(updown)(unbreak, perm_update_mat, factor, c);
CHOL_F(free_sparse)(&perm_update_mat, c);
CHOL_F(free_sparse)(&update_mat, c);
graph::coordinate r0 = G.vertices[v0].r;
graph::coordinate r1 = G.vertices[v1].r;
if (G.edges[e].crossings[axis]) {
bool ind;
if (axis == 1) {
ind = r0.y < r1.y ? unbreak : !unbreak;
} else {
ind = r0.x < r1.x ? unbreak : !unbreak;
}
((double*)b->x)[G.edges[e].v[ind]] -= 1.0;
((double*)b->x)[G.edges[e].v[!ind]] += 1.0;
}
}
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