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#include "Geometry.hpp"
#include "Line.hpp"
#include "Polyline.hpp"
#include <algorithm>
#include <cmath>
#include <sstream>
namespace Slic3r {
Linef3 transform(const Linef3& line, const Transform3d& t)
{
typedef Eigen::Matrix<double, 3, 2> LineInMatrixForm;
LineInMatrixForm world_line;
::memcpy((void*)world_line.col(0).data(), (const void*)line.a.data(), 3 * sizeof(double));
::memcpy((void*)world_line.col(1).data(), (const void*)line.b.data(), 3 * sizeof(double));
LineInMatrixForm local_line = t * world_line.colwise().homogeneous();
return Linef3(Vec3d(local_line(0, 0), local_line(1, 0), local_line(2, 0)), Vec3d(local_line(0, 1), local_line(1, 1), local_line(2, 1)));
}
bool Line::intersection_infinite(const Line &other, Point* point) const
{
Vec2d a1 = this->a.cast<double>();
Vec2d v12 = (other.a - this->a).cast<double>();
Vec2d v1 = (this->b - this->a).cast<double>();
Vec2d v2 = (other.b - other.a).cast<double>();
double denom = cross2(v1, v2);
if (std::fabs(denom) < EPSILON)
return false;
double t1 = cross2(v12, v2) / denom;
*point = (a1 + t1 * v1).cast<coord_t>();
return true;
}
double Line::perp_distance_to(const Point &point) const
{
const Line &line = *this;
const Vec2d v = (line.b - line.a).cast<double>();
const Vec2d va = (point - line.a).cast<double>();
if (line.a == line.b)
return va.norm();
return std::abs(cross2(v, va)) / v.norm();
}
double Line::orientation() const
{
double angle = this->atan2_();
if (angle < 0) angle = 2*PI + angle;
return angle;
}
double Line::direction() const
{
double atan2 = this->atan2_();
return (fabs(atan2 - PI) < EPSILON) ? 0
: (atan2 < 0) ? (atan2 + PI)
: atan2;
}
bool Line::parallel_to(double angle) const
{
return Slic3r::Geometry::directions_parallel(this->direction(), angle);
}
bool Line::intersection(const Line &l2, Point *intersection) const
{
const Line &l1 = *this;
const Vec2d v1 = (l1.b - l1.a).cast<double>();
const Vec2d v2 = (l2.b - l2.a).cast<double>();
double denom = cross2(v1, v2);
if (fabs(denom) < EPSILON)
#if 0
// Lines are collinear. Return true if they are coincident (overlappign).
return ! (fabs(nume_a) < EPSILON && fabs(nume_b) < EPSILON);
#else
return false;
#endif
const Vec2d v12 = (l1.a - l2.a).cast<double>();
double nume_a = cross2(v2, v12);
double nume_b = cross2(v1, v12);
double t1 = nume_a / denom;
double t2 = nume_b / denom;
if (t1 >= 0 && t1 <= 1.0f && t2 >= 0 && t2 <= 1.0f) {
// Get the intersection point.
(*intersection) = (l1.a.cast<double>() + t1 * v1).cast<coord_t>();
return true;
}
return false; // not intersecting
}
bool Line::clip_with_bbox(const BoundingBox &bbox)
{
Vec2d x0clip, x1clip;
bool result = Geometry::liang_barsky_line_clipping<double>(this->a.cast<double>(), this->b.cast<double>(), BoundingBoxf(bbox.min.cast<double>(), bbox.max.cast<double>()), x0clip, x1clip);
if (result) {
this->a = x0clip.cast<coord_t>();
this->b = x1clip.cast<coord_t>();
}
return result;
}
Vec3d Linef3::intersect_plane(double z) const
{
auto v = (this->b - this->a).cast<double>();
double t = (z - this->a(2)) / v(2);
return Vec3d(this->a(0) + v(0) * t, this->a(1) + v(1) * t, z);
}
BoundingBox get_extents(const Lines &lines)
{
BoundingBox bbox;
for (const Line &line : lines) {
bbox.merge(line.a);
bbox.merge(line.b);
}
return bbox;
}
} // namespace Slic3r
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