path: root/src/libslic3r/Point.cpp

#include "Point.hpp"
#include "Line.hpp"
#include "MultiPoint.hpp"
#include "Int128.hpp"
#include "BoundingBox.hpp"
#include <algorithm>

namespace Slic3r {

std::vector<Vec3f> transform(const std::vector<Vec3f>& points, const Transform3f& t)
{
    unsigned int vertices_count = (unsigned int)points.size();
    if (vertices_count == 0)
        return std::vector<Vec3f>();

    unsigned int data_size = 3 * vertices_count * sizeof(float);

    Eigen::MatrixXf src(3, vertices_count);
    ::memcpy((void*)src.data(), (const void*)points.data(), data_size);

    Eigen::MatrixXf dst(3, vertices_count);
    dst = t * src.colwise().homogeneous();

    std::vector<Vec3f> ret_points(vertices_count, Vec3f::Zero());
    ::memcpy((void*)ret_points.data(), (const void*)dst.data(), data_size);
    return ret_points;
}

Pointf3s transform(const Pointf3s& points, const Transform3d& t)
{
    unsigned int vertices_count = (unsigned int)points.size();
    if (vertices_count == 0)
        return Pointf3s();

    unsigned int data_size = 3 * vertices_count * sizeof(double);

    Eigen::MatrixXd src(3, vertices_count);
    ::memcpy((void*)src.data(), (const void*)points.data(), data_size);

    Eigen::MatrixXd dst(3, vertices_count);
    dst = t * src.colwise().homogeneous();

    Pointf3s ret_points(vertices_count, Vec3d::Zero());
    ::memcpy((void*)ret_points.data(), (const void*)dst.data(), data_size);
    return ret_points;
}

void Point::rotate(double angle, const Point &center)
{
    double cur_x = (double)(*this)(0);
    double cur_y = (double)(*this)(1);
    double s     = ::sin(angle);
    double c     = ::cos(angle);
    double dx    = cur_x - (double)center(0);
    double dy    = cur_y - (double)center(1);
    (*this)(0) = (coord_t)round( (double)center(0) + c * dx - s * dy );
    (*this)(1) = (coord_t)round( (double)center(1) + c * dy + s * dx );
}

int32_t Point::nearest_point_index(const Points &points) const
{
    PointConstPtrs p;
    p.reserve(points.size());
    for (Points::const_iterator it = points.begin(); it != points.end(); ++it)
        p.push_back(&*it);
    return this->nearest_point_index(p);
}

int32_t Point::nearest_point_index(const PointConstPtrs &points) const
{
    int32_t idx = -1;
    double distance = -1;  // double because long is limited to 2147483647 on some platforms and it's not enough
    
    for (PointConstPtrs::const_iterator it = points.begin(); it != points.end(); ++it) {
        /* If the X distance of the candidate is > than the total distance of the
           best previous candidate, we know we don't want it */
        double d = sqr<double>(double((*this).x() - (*it)->x()));
        if (distance != -1 && d > distance) continue;
        
        /* If the Y distance of the candidate is > than the total distance of the
           best previous candidate, we know we don't want it */
        d += sqr<double>(double((*this).y() - (*it)->y()));
        if (distance != -1 && d > distance) continue;
        
        idx = (int32_t)(it - points.begin());
        distance = d;
        
        if (distance < EPSILON) break;
    }
    
    return idx;
}

/* distance to the closest point of line */
double
Point::distance_to(const Line &line) const {
    const double dx = double(line.b.x() - line.a.x());
    const double dy = double(line.b.y() - line.a.y());

    const double l2 = dx*dx + dy*dy;  // avoid a sqrt
    if (l2 == 0.0) return this->distance_to(line.a);   // line.a == line.b case

    // Consider the line extending the segment, parameterized as line.a + t (line.b - line.a).
    // We find projection of this point onto the line. 
    // It falls where t = [(this-line.a) . (line.b-line.a)] / |line.b-line.a|^2
    const double t = ((this->x() - line.a.x()) * dx + (this->y() - line.a.y()) * dy) / l2;
    if (t < 0.0)      return this->distance_to(line.a);  // beyond the 'a' end of the segment
    else if (t > 1.0) return this->distance_to(line.b);  // beyond the 'b' end of the segment
    Point projection(
        line.a.x() + t * dx,
        line.a.y() + t * dy
        );
    return this->distance_to(projection);
}


int32_t Point::nearest_point_index(const PointPtrs &points) const
{
    PointConstPtrs p;
    p.reserve(points.size());
    for (PointPtrs::const_iterator it = points.begin(); it != points.end(); ++it)
        p.push_back(*it);
    return this->nearest_point_index(p);
}

bool Point::nearest_point(const Points &points, Point* point) const
{
    int idx = this->nearest_point_index(points);
    if (idx == -1) return false;
    *point = points.at(idx);
    return true;
}

/* Three points are a counter-clockwise turn if ccw > 0, clockwise if
 * ccw < 0, and collinear if ccw = 0 because ccw is a determinant that
 * gives the signed area of the triangle formed by p1, p2 and this point.
 * In other words it is the 2D cross product of p1-p2 and p1-this, i.e.
 * z-component of their 3D cross product.
 * We return double because it must be big enough to hold 2*max(|coordinate|)^2
 */
double Point::ccw(const Point &p1, const Point &p2) const
{
    //static_assert(sizeof(coord_t) == 4, "Point::ccw() requires a 32 bit coord_t");
    //return cross2((p2 - p1).cast<int64_t>(), (*this - p1).cast<int64_t>());
    return cross2((p2 - p1).cast<double>(), (*this - p1).cast<double>());
}

double Point::ccw(const Line &line) const
{
    return this->ccw(line.a, line.b);
}

// returns the CCW angle between this-p1 and this-p2
// i.e. this assumes a CCW rotation from p1 to p2 around this
double Point::ccw_angle(const Point &p1, const Point &p2) const
{
    //FIXME this calculates an atan2 twice! Project one vector into the other!
    double angle = atan2(p1.x() - (*this).x(), p1.y() - (*this).y())
                 - atan2(p2.x() - (*this).x(), p2.y() - (*this).y());
    // we only want to return only positive angles
    return angle <= 0 ? angle + 2*PI : angle;
}

Point Point::projection_onto(const MultiPoint &poly) const
{
    Point running_projection = poly.first_point();
    double running_min = (running_projection - *this).cast<double>().norm();
    
    Lines lines = poly.lines();
    for (Lines::const_iterator line = lines.begin(); line != lines.end(); ++line) {
        Point point_temp = this->projection_onto(*line);
        if ((point_temp - *this).cast<double>().norm() < running_min) {
	        running_projection = point_temp;
	        running_min = (running_projection - *this).cast<double>().norm();
        }
    }
    return running_projection;
}

Point Point::projection_onto(const Line &line) const
{
    if (line.a == line.b) return line.a;
    
    /*
        (Ported from VisiLibity by Karl J. Obermeyer)
        The projection of point_temp onto the line determined by
        line_segment_temp can be represented as an affine combination
        expressed in the form projection of
        Point = theta*line_segment_temp.first + (1.0-theta)*line_segment_temp.second.
        If theta is outside the interval [0,1], then one of the Line_Segment's endpoints
        must be closest to calling Point.
    */
    double lx = (double)(line.b(0) - line.a(0));
    double ly = (double)(line.b(1) - line.a(1));
    double theta = ( (double)(line.b(0) - (*this)(0))*lx + (double)(line.b(1)- (*this)(1))*ly ) 
          / ( sqr<double>(lx) + sqr<double>(ly) );
    
    if (0.0 <= theta && theta <= 1.0)
        return (theta * line.a.cast<coordf_t>() + (1.0-theta) * line.b.cast<coordf_t>()).cast<coord_t>();
    
    // Else pick closest endpoint.
    return ((line.a - *this).cast<double>().squaredNorm() < (line.b - *this).cast<double>().squaredNorm()) ? line.a : line.b;
}

bool has_duplicate_points(std::vector<Point> &&pts)
{
    std::sort(pts.begin(), pts.end());
    for (size_t i = 1; i < pts.size(); ++ i)
        if (pts[i - 1] == pts[i])
            return true;
    return false;
}

BoundingBox get_extents(const Points &pts)
{ 
    return BoundingBox(pts);
}

BoundingBox get_extents(const std::vector<Points> &pts)
{
    BoundingBox bbox;
    for (const Points &p : pts)
        bbox.merge(get_extents(p));
    return bbox;
}

BoundingBoxf get_extents(const std::vector<Vec2d> &pts)
{
    BoundingBoxf bbox;
    for (const Vec2d &p : pts)
        bbox.merge(p);
    return bbox;
}

/// This method create a new point on the line defined by this and p2.
/// The new point is place at position defined by |p2-this| * percent, starting from this
/// \param percent the proportion of the segment length to place the point
/// \param p2 the second point, forming a segment with this
/// \return a new point, == this if percent is 0 and == p2 if percent is 1
Point Point::interpolate(const double percent, const Point &p2) const
{
    Point p_out;
    p_out.x() = coord_t(this->x()*(1 - percent) + p2.x()*(percent));
    p_out.y() = coord_t(this->y()*(1 - percent) + p2.y()*(percent));
    return p_out;
}

std::ostream& operator<<(std::ostream &stm, const Vec2d &pointf)
{
    return stm << pointf(0) << "," << pointf(1);
}

namespace int128 {

int orient(const Vec2crd &p1, const Vec2crd &p2, const Vec2crd &p3)
{
    Slic3r::Vector v1(p2 - p1);
    Slic3r::Vector v2(p3 - p1);
    return Int128::sign_determinant_2x2_filtered(v1.x(), v1.y(), v2.x(), v2.y());
}

int cross(const Vec2crd &v1, const Vec2crd &v2)
{
    return Int128::sign_determinant_2x2_filtered(v1.x(), v1.y(), v2.x(), v2.y());
}

}

}