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namespace md {
template<class Real>
DualBox<Real>::DualBox(DualPoint<Real> ll, DualPoint<Real> ur)
:lower_left_(ll), upper_right_(ur)
{
}
template<class Real>
std::vector<DualPoint<Real>> DualBox<Real>::corners() const
{
return {lower_left_,
DualPoint<Real>(axis_type(), angle_type(), lower_left_.lambda(), upper_right_.mu()),
upper_right_,
DualPoint<Real>(axis_type(), angle_type(), upper_right_.lambda(), lower_left_.mu())};
}
template<class Real>
std::vector<DualPoint<Real>> DualBox<Real>::push_change_points(const Point<Real>& p) const
{
std::vector<DualPoint<Real>> result;
result.reserve(2);
bool is_y_type = lower_left_.is_y_type();
bool is_flat = lower_left_.is_flat();
auto mu_from_lambda = [p, is_y_type, is_flat](Real lambda) {
bool is_x_type = not is_y_type, is_steep = not is_flat;
if (is_y_type && is_flat) {
return p.y - lambda * p.x;
} else if (is_y_type && is_steep) {
return p.y - p.x / lambda;
} else if (is_x_type && is_flat) {
return p.x - p.y / lambda;
} else if (is_x_type && is_steep) {
return p.x - lambda * p.y;
}
// to shut up compiler warning
return static_cast<Real>(1.0 / 0.0);
};
auto lambda_from_mu = [p, is_y_type, is_flat](Real mu) {
bool is_x_type = not is_y_type, is_steep = not is_flat;
if (is_y_type && is_flat) {
return (p.y - mu) / p.x;
} else if (is_y_type && is_steep) {
return p.x / (p.y - mu);
} else if (is_x_type && is_flat) {
return p.y / (p.x - mu);
} else if (is_x_type && is_steep) {
return (p.x - mu) / p.y;
}
// to shut up compiler warning
return static_cast<Real>(1.0 / 0.0);
};
// all inequalities below are strict: equality means it is a corner
// && critical_points() returns corners anyway
Real mu_intersect_min = mu_from_lambda(lambda_min());
if (mu_min() < mu_intersect_min && mu_intersect_min < mu_max())
result.emplace_back(axis_type(), angle_type(), lambda_min(), mu_intersect_min);
Real mu_intersect_max = mu_from_lambda(lambda_max());
if (mu_max() < mu_intersect_max && mu_intersect_max < mu_max())
result.emplace_back(axis_type(), angle_type(), lambda_max(), mu_intersect_max);
Real lambda_intersect_min = lambda_from_mu(mu_min());
if (lambda_min() < lambda_intersect_min && lambda_intersect_min < lambda_max())
result.emplace_back(axis_type(), angle_type(), lambda_intersect_min, mu_min());
Real lambda_intersect_max = lambda_from_mu(mu_max());
if (lambda_min() < lambda_intersect_max && lambda_intersect_max < lambda_max())
result.emplace_back(axis_type(), angle_type(), lambda_intersect_max, mu_max());
assert(result.size() <= 2);
if (result.size() > 2) {
fmt::print("Error in push_change_points, p = {}, dual_box = {}, result = {}\n", p, *this,
container_to_string(result));
throw std::runtime_error("push_change_points returned more than 2 points");
}
return result;
}
template<class Real>
std::vector<DualPoint<Real>> DualBox<Real>::critical_points(const Point<Real>& /*p*/) const
{
// maximal difference is attained at corners
return corners();
// std::vector<DualPoint<Real>> result;
// result.reserve(6);
// for(auto dp : corners()) result.push_back(dp);
// for(auto dp : push_change_points(p)) result.push_back(dp);
// return result;
}
template<class Real>
std::vector<DualPoint<Real>> DualBox<Real>::random_points(int n) const
{
assert(n >= 0);
std::mt19937_64 gen(1);
std::vector<DualPoint<Real>> result;
result.reserve(n);
std::uniform_real_distribution<Real> mu_distr(mu_min(), mu_max());
std::uniform_real_distribution<Real> lambda_distr(lambda_min(), lambda_max());
for(int i = 0; i < n; ++i) {
result.emplace_back(axis_type(), angle_type(), lambda_distr(gen), mu_distr(gen));
}
return result;
}
template<class Real>
bool DualBox<Real>::sanity_check() const
{
lower_left_.sanity_check();
upper_right_.sanity_check();
if (lower_left_.angle_type() != upper_right_.angle_type())
throw std::runtime_error("angle types differ");
if (lower_left_.axis_type() != upper_right_.axis_type())
throw std::runtime_error("axis types differ");
if (lower_left_.lambda() >= upper_right_.lambda())
throw std::runtime_error("lambda of lower_left_ greater than lambda of upper_right ");
if (lower_left_.mu() >= upper_right_.mu())
throw std::runtime_error("mu of lower_left_ greater than mu of upper_right ");
return true;
}
template<class Real>
std::vector<DualBox<Real>> DualBox<Real>::refine() const
{
std::vector<DualBox<Real>> result;
result.reserve(4);
Real lambda_middle = (lower_left().lambda() + upper_right().lambda()) / 2.0;
Real mu_middle = (lower_left().mu() + upper_right().mu()) / 2.0;
DualPoint<Real> refinement_center(axis_type(), angle_type(), lambda_middle, mu_middle);
result.emplace_back(lower_left_, refinement_center);
result.emplace_back(DualPoint<Real>(axis_type(), angle_type(), lambda_middle, mu_min()),
DualPoint<Real>(axis_type(), angle_type(), lambda_max(), mu_middle));
result.emplace_back(refinement_center, upper_right_);
result.emplace_back(DualPoint<Real>(axis_type(), angle_type(), lambda_min(), mu_middle),
DualPoint<Real>(axis_type(), angle_type(), lambda_middle, mu_max()));
return result;
}
template<class Real>
bool DualBox<Real>::operator==(const DualBox& other) const
{
return lower_left() == other.lower_left() &&
upper_right() == other.upper_right();
}
template<class Real>
bool DualBox<Real>::contains(const DualPoint<Real>& dp) const
{
return dp.angle_type() == angle_type() && dp.axis_type() == axis_type() &&
mu_max() >= dp.mu() &&
mu_min() <= dp.mu() &&
lambda_min() <= dp.lambda() &&
lambda_max() >= dp.lambda();
}
template<class Real>
DualPoint<Real> DualBox<Real>::lower_right() const
{
return DualPoint<Real>(lower_left_.axis_type(), lower_left_.angle_type(), lambda_max(), mu_min());
}
template<class Real>
DualPoint<Real> DualBox<Real>::upper_left() const
{
return DualPoint<Real>(lower_left_.axis_type(), lower_left_.angle_type(), lambda_min(), mu_max());
}
}
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