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#include "network.hpp"
class nofuseException: public std::exception
{
virtual const char* what() const throw()
{
return "No valid fuse was available to break.";
}
} nofuseex;
network::network(const graph& G) : G(G), fuses(G.edges.size()), thresholds(G.edges.size()) {}
network::network(const network& n) : G(n.G), fuses(n.fuses), thresholds(n.thresholds) {}
void network::set_thresholds(double beta, std::mt19937& rng) {
if (beta == 0.0) {
/* zero beta doesn't make any sense computationally, we interpret it as "infinity" */
for (long double& threshold : thresholds) {
threshold = 1.0;
}
} else {
std::uniform_real_distribution<long double> d(0.0, 1.0);
for (long double& threshold : thresholds) {
threshold = std::numeric_limits<long double>::lowest();
while (threshold == std::numeric_limits<long double>::lowest()) {
threshold = logl(d(rng)) / (long double)beta;
}
}
}
}
void network::fracture(hooks& m, bool one_axis) {
m.pre_fracture(*this);
while (true) {
current_info c = this->get_current_info();
double min_cond = 1.0 / G.edges.size();
if (c.conductivity[0] < min_cond && c.conductivity[1] < min_cond) {
break;
}
if (one_axis && (c.conductivity[0] < min_cond || c.conductivity[1] < min_cond)) {
break;
}
unsigned max_pos = UINT_MAX;
long double max_val = std::numeric_limits<long double>::lowest();
for (unsigned i = 0; i < G.edges.size(); i++) {
if (!fuses[i] && c.currents[i] > CURRENT_CUTOFF) {
long double val = logl(c.currents[i]) - thresholds[i];
if (val > max_val) {
max_val = val;
max_pos = i;
}
}
}
if (max_pos == UINT_MAX) {
throw nofuseex;
}
this->break_edge(max_pos);
m.bond_broken(*this, c, max_pos);
}
m.post_fracture(*this);
}
fuse_network::fuse_network(const graph& G, cholmod_common* c, double weight) :
network(G), ohm_x(G, 0, c), ohm_y(G, 1, c) {}
fuse_network::fuse_network(const fuse_network& n) :
network(n), ohm_x(n.ohm_x), ohm_y(n.ohm_y) {
}
void fuse_network::break_edge(unsigned e, bool unbreak) {
fuses[e] = !unbreak;
ohm_x.break_edge(e, unbreak);
ohm_y.break_edge(e, unbreak);
}
current_info fuse_network::get_current_info() {
current_info cx = ohm_x.solve(fuses);
current_info cy = ohm_y.solve(fuses);
bool done_x = cx.conductivity[0] < 1.0 / G.edges.size();
bool done_y = cy.conductivity[1] < 1.0 / G.edges.size();
current_info ctot;
ctot.currents.resize(G.edges.size());
ctot.conductivity = {cx.conductivity[0], cy.conductivity[1]};
if (done_x && !done_y) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = fabs(weight * cy.currents[i] / cy.conductivity[1]);
}
} else if (done_y && !done_x) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = fabs((1 - weight) * cx.currents[i] / cx.conductivity[0]);
}
} else if (!done_x && !done_y) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = fabs((1 - weight) * cx.currents[i] / cx.conductivity[0] +
weight * cy.currents[i] / cy.conductivity[1]);
}
}
return ctot;
}
elastic_network::elastic_network(const graph& G, cholmod_common* c, double weight) :
network(G), weight(weight),
hook_x(G, 0, c), hook_y(G, 1, c) {}
elastic_network::elastic_network(const elastic_network& n) :
network(n), weight(n.weight), hook_x(n.hook_x), hook_y(n.hook_y) {}
void elastic_network::break_edge(unsigned e, bool unbreak) {
fuses[e] = !unbreak;
hook_x.break_edge(e, unbreak);
hook_y.break_edge(e, unbreak);
}
current_info elastic_network::get_current_info() {
current_info cx = hook_x.solve(fuses);
current_info cy = hook_y.solve(fuses);
bool done_x = cx.conductivity[0] < 1.0 / G.edges.size();
bool done_y = cy.conductivity[1] < 1.0 / G.edges.size();
current_info ctot;
ctot.currents.resize(G.edges.size());
ctot.conductivity[0] = cx.conductivity[0];
ctot.conductivity[1] = cy.conductivity[1];
if (done_x && !done_y) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = weight * fabs(cy.currents[i]) / cy.conductivity[1];
}
} else if (done_y && !done_x) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = (1 - weight) * fabs(cx.currents[i]) / cx.conductivity[0];
}
} else if (!done_x && !done_y) {
for (unsigned i = 0; i < G.edges.size(); i++) {
ctot.currents[i] = sqrt(pow((1 - weight) * cx.currents[i] / cx.conductivity[0], 2) +
pow(weight * cy.currents[i] / cy.conductivity[1], 2));
}
}
return ctot;
}
percolation_network::percolation_network(const graph& G, cholmod_common* c) :
network(G), px(G, 0, c), py(G, 1, c) {}
percolation_network::percolation_network(const percolation_network& n) :
network(n), px(n.px), py(n.py) {}
current_info percolation_network::get_current_info() {
current_info ctot;
ctot.currents.resize(G.edges.size(), 0.0);
current_info cx = px.solve(fuses);
current_info cy = py.solve(fuses);
ctot.conductivity = {cx.conductivity[0], cy.conductivity[1]};
for (unsigned i = 0; i < G.edges.size(); i++) {
if (fabs(cx.currents[i]) > CURRENT_CUTOFF || fabs(cy.currents[i]) > CURRENT_CUTOFF) {
ctot.currents[i] = 1.0;
}
}
return ctot;
}
void percolation_network::break_edge(unsigned e, bool unbreak) {
fuses[e] = !unbreak;
px.break_edge(e, unbreak);
py.break_edge(e, unbreak);
}
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