#include "Geometry.hpp" #include "Line.hpp" #include "Polyline.hpp" #include #include #include namespace Slic3r { Linef3 transform(const Linef3& line, const Transform3d& t) { typedef Eigen::Matrix 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(); Vec2d v12 = (other.a - this->a).cast(); Vec2d v1 = (this->b - this->a).cast(); Vec2d v2 = (other.b - other.a).cast(); double denom = cross2(v1, v2); if (std::fabs(denom) < EPSILON) return false; double t1 = cross2(v12, v2) / denom; *point = (a1 + t1 * v1).cast(); return true; } double Line::perp_distance_to(const Point &point) const { const Line &line = *this; const Vec2d v = (line.b - line.a).cast(); const Vec2d va = (point - line.a).cast(); 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(); const Vec2d v2 = (l2.b - l2.a).cast(); 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 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() + t1 * v1).cast(); return true; } return false; // not intersecting } bool Line::clip_with_bbox(const BoundingBox &bbox) { Vec2d x0clip, x1clip; bool result = Geometry::liang_barsky_line_clipping(this->a.cast(), this->b.cast(), BoundingBoxf(bbox.min.cast(), bbox.max.cast()), x0clip, x1clip); if (result) { this->a = x0clip.cast(); this->b = x1clip.cast(); } return result; } void Line::offset(double offset) { Vector offset_vector = (offset * this->vector().cast().normalized()).cast(); this->a -= offset_vector; this->b += offset_vector; } Vec3d Linef3::intersect_plane(double z) const { auto v = (this->b - this->a).cast(); 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