2013-07-16 19:04:14 +00:00
|
|
|
#include "Point.hpp"
|
2013-11-06 22:08:03 +00:00
|
|
|
#include "Line.hpp"
|
2014-05-21 18:08:21 +00:00
|
|
|
#include "MultiPoint.hpp"
|
2014-04-27 17:18:53 +00:00
|
|
|
#include <cmath>
|
|
|
|
#include <sstream>
|
2013-07-16 19:04:14 +00:00
|
|
|
|
|
|
|
namespace Slic3r {
|
|
|
|
|
2014-05-22 10:28:12 +00:00
|
|
|
Point::Point(double x, double y)
|
|
|
|
{
|
|
|
|
this->x = lrint(x);
|
|
|
|
this->y = lrint(y);
|
|
|
|
}
|
|
|
|
|
2014-01-10 10:47:16 +00:00
|
|
|
bool
|
2014-03-02 21:36:20 +00:00
|
|
|
Point::operator==(const Point& rhs) const
|
|
|
|
{
|
2014-01-09 18:56:12 +00:00
|
|
|
return this->coincides_with(rhs);
|
|
|
|
}
|
|
|
|
|
2014-01-17 13:22:37 +00:00
|
|
|
std::string
|
|
|
|
Point::wkt() const
|
|
|
|
{
|
|
|
|
std::ostringstream ss;
|
|
|
|
ss << "POINT(" << this->x << " " << this->y << ")";
|
|
|
|
return ss.str();
|
|
|
|
}
|
|
|
|
|
2013-07-16 19:04:14 +00:00
|
|
|
void
|
|
|
|
Point::scale(double factor)
|
|
|
|
{
|
|
|
|
this->x *= factor;
|
|
|
|
this->y *= factor;
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
Point::translate(double x, double y)
|
|
|
|
{
|
|
|
|
this->x += x;
|
|
|
|
this->y += y;
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
2014-04-24 11:43:24 +00:00
|
|
|
Point::rotate(double angle, const Point ¢er)
|
2013-07-16 19:04:14 +00:00
|
|
|
{
|
|
|
|
double cur_x = (double)this->x;
|
|
|
|
double cur_y = (double)this->y;
|
2014-04-24 11:43:24 +00:00
|
|
|
this->x = (coord_t)round( (double)center.x + cos(angle) * (cur_x - (double)center.x) - sin(angle) * (cur_y - (double)center.y) );
|
|
|
|
this->y = (coord_t)round( (double)center.y + cos(angle) * (cur_y - (double)center.y) + sin(angle) * (cur_x - (double)center.x) );
|
2013-07-16 19:04:14 +00:00
|
|
|
}
|
|
|
|
|
2013-11-22 21:48:07 +00:00
|
|
|
bool
|
|
|
|
Point::coincides_with(const Point &point) const
|
|
|
|
{
|
|
|
|
return this->x == point.x && this->y == point.y;
|
2013-07-16 19:04:14 +00:00
|
|
|
}
|
|
|
|
|
2014-06-11 19:57:32 +00:00
|
|
|
bool
|
|
|
|
Point::coincides_with_epsilon(const Point &point) const
|
|
|
|
{
|
|
|
|
return std::abs(this->x - point.x) < SCALED_EPSILON && std::abs(this->y - point.y) < SCALED_EPSILON;
|
|
|
|
}
|
|
|
|
|
2013-08-26 22:52:20 +00:00
|
|
|
int
|
2014-04-24 14:40:10 +00:00
|
|
|
Point::nearest_point_index(const Points &points) const
|
2013-11-23 20:39:05 +00:00
|
|
|
{
|
2014-04-24 14:40:10 +00:00
|
|
|
PointConstPtrs p;
|
2013-11-23 20:39:05 +00:00
|
|
|
p.reserve(points.size());
|
2014-04-24 14:40:10 +00:00
|
|
|
for (Points::const_iterator it = points.begin(); it != points.end(); ++it)
|
2013-11-23 20:39:05 +00:00
|
|
|
p.push_back(&*it);
|
|
|
|
return this->nearest_point_index(p);
|
|
|
|
}
|
|
|
|
|
|
|
|
int
|
2014-04-24 14:40:10 +00:00
|
|
|
Point::nearest_point_index(const PointConstPtrs &points) const
|
2013-08-26 22:52:20 +00:00
|
|
|
{
|
|
|
|
int idx = -1;
|
2013-09-17 11:04:36 +00:00
|
|
|
double distance = -1; // double because long is limited to 2147483647 on some platforms and it's not enough
|
2013-08-26 22:52:20 +00:00
|
|
|
|
2014-04-24 14:40:10 +00:00
|
|
|
for (PointConstPtrs::const_iterator it = points.begin(); it != points.end(); ++it) {
|
2013-08-26 22:52:20 +00:00
|
|
|
/* If the X distance of the candidate is > than the total distance of the
|
|
|
|
best previous candidate, we know we don't want it */
|
2013-11-23 20:39:05 +00:00
|
|
|
double d = pow(this->x - (*it)->x, 2);
|
2013-08-26 22:52:20 +00:00
|
|
|
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 */
|
2013-11-23 20:39:05 +00:00
|
|
|
d += pow(this->y - (*it)->y, 2);
|
2013-08-26 22:52:20 +00:00
|
|
|
if (distance != -1 && d > distance) continue;
|
|
|
|
|
|
|
|
idx = it - points.begin();
|
|
|
|
distance = d;
|
|
|
|
|
|
|
|
if (distance < EPSILON) break;
|
|
|
|
}
|
|
|
|
|
|
|
|
return idx;
|
|
|
|
}
|
|
|
|
|
2014-04-24 14:40:10 +00:00
|
|
|
int
|
|
|
|
Point::nearest_point_index(const PointPtrs &points) const
|
2013-08-26 22:52:20 +00:00
|
|
|
{
|
2014-04-24 14:40:10 +00:00
|
|
|
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);
|
2013-08-26 22:52:20 +00:00
|
|
|
}
|
|
|
|
|
2014-04-24 14:40:10 +00:00
|
|
|
void
|
|
|
|
Point::nearest_point(const Points &points, Point* point) const
|
2013-08-28 18:32:25 +00:00
|
|
|
{
|
2014-04-24 14:40:10 +00:00
|
|
|
*point = points.at(this->nearest_point_index(points));
|
2013-08-28 18:32:25 +00:00
|
|
|
}
|
|
|
|
|
2013-11-06 22:08:03 +00:00
|
|
|
double
|
2014-04-24 14:40:10 +00:00
|
|
|
Point::distance_to(const Point &point) const
|
2013-11-06 22:08:03 +00:00
|
|
|
{
|
2014-04-24 14:40:10 +00:00
|
|
|
double dx = ((double)point.x - this->x);
|
|
|
|
double dy = ((double)point.y - this->y);
|
|
|
|
return sqrt(dx*dx + dy*dy);
|
2013-11-21 19:25:24 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
double
|
|
|
|
Point::distance_to(const Line &line) const
|
|
|
|
{
|
2014-04-24 14:40:10 +00:00
|
|
|
if (line.a.coincides_with(line.b)) return this->distance_to(line.a);
|
2013-11-06 22:08:03 +00:00
|
|
|
|
2014-01-17 13:22:37 +00:00
|
|
|
double n = (double)(line.b.x - line.a.x) * (double)(line.a.y - this->y)
|
|
|
|
- (double)(line.a.x - this->x) * (double)(line.b.y - line.a.y);
|
2013-11-06 22:08:03 +00:00
|
|
|
|
2013-11-22 15:01:50 +00:00
|
|
|
return std::abs(n) / line.length();
|
2013-11-06 22:08:03 +00:00
|
|
|
}
|
|
|
|
|
2013-11-22 20:43:35 +00:00
|
|
|
/* 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.
|
2013-12-12 19:19:33 +00:00
|
|
|
* 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
|
2013-11-22 20:43:35 +00:00
|
|
|
*/
|
|
|
|
double
|
|
|
|
Point::ccw(const Point &p1, const Point &p2) const
|
|
|
|
{
|
2014-01-17 13:49:51 +00:00
|
|
|
return (double)(p2.x - p1.x)*(double)(this->y - p1.y) - (double)(p2.y - p1.y)*(double)(this->x - p1.x);
|
2013-11-22 20:43:35 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
double
|
|
|
|
Point::ccw(const Line &line) const
|
|
|
|
{
|
|
|
|
return this->ccw(line.a, line.b);
|
|
|
|
}
|
|
|
|
|
2014-05-21 18:08:21 +00:00
|
|
|
Point
|
|
|
|
Point::projection_onto(const MultiPoint &poly) const
|
|
|
|
{
|
|
|
|
Point running_projection = poly.first_point();
|
|
|
|
double running_min = this->distance_to(running_projection);
|
|
|
|
|
|
|
|
Lines lines = poly.lines();
|
|
|
|
for (Lines::const_iterator line = lines.begin(); line != lines.end(); ++line) {
|
|
|
|
Point point_temp = this->projection_onto(*line);
|
|
|
|
if (this->distance_to(point_temp) < running_min) {
|
|
|
|
running_projection = point_temp;
|
|
|
|
running_min = this->distance_to(running_projection);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return running_projection;
|
|
|
|
}
|
|
|
|
|
|
|
|
Point
|
|
|
|
Point::projection_onto(const Line &line) const
|
|
|
|
{
|
|
|
|
if (line.a.coincides_with(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 theta = ( (double)(line.b.x - this->x)*(double)(line.b.x - line.a.x) + (double)(line.b.y- this->y)*(double)(line.b.y - line.a.y) )
|
|
|
|
/ ( (double)pow(line.b.x - line.a.x, 2) + (double)pow(line.b.y - line.a.y, 2) );
|
|
|
|
|
|
|
|
if (0.0 <= theta && theta <= 1.0)
|
|
|
|
return theta * line.a + (1.0-theta) * line.b;
|
|
|
|
|
|
|
|
// Else pick closest endpoint.
|
|
|
|
if (this->distance_to(line.a) < this->distance_to(line.b)) {
|
|
|
|
return line.a;
|
|
|
|
} else {
|
|
|
|
return line.b;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2014-05-26 13:19:13 +00:00
|
|
|
Point
|
|
|
|
Point::negative() const
|
|
|
|
{
|
|
|
|
return Point(-this->x, -this->y);
|
|
|
|
}
|
|
|
|
|
2014-05-21 18:08:21 +00:00
|
|
|
Point
|
|
|
|
operator+(const Point& point1, const Point& point2)
|
|
|
|
{
|
|
|
|
return Point(point1.x + point2.x, point1.y + point2.y);
|
|
|
|
}
|
|
|
|
|
|
|
|
Point
|
|
|
|
operator*(double scalar, const Point& point2)
|
|
|
|
{
|
|
|
|
return Point(scalar * point2.x, scalar * point2.y);
|
|
|
|
}
|
|
|
|
|
2013-09-13 12:48:40 +00:00
|
|
|
#ifdef SLIC3RXS
|
2014-04-27 17:18:53 +00:00
|
|
|
|
|
|
|
REGISTER_CLASS(Point, "Point");
|
|
|
|
|
2013-09-02 18:22:20 +00:00
|
|
|
SV*
|
|
|
|
Point::to_SV_pureperl() const {
|
2013-07-16 19:04:14 +00:00
|
|
|
AV* av = newAV();
|
|
|
|
av_fill(av, 1);
|
|
|
|
av_store(av, 0, newSViv(this->x));
|
|
|
|
av_store(av, 1, newSViv(this->y));
|
|
|
|
return newRV_noinc((SV*)av);
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
Point::from_SV(SV* point_sv)
|
|
|
|
{
|
|
|
|
AV* point_av = (AV*)SvRV(point_sv);
|
2013-11-11 12:00:50 +00:00
|
|
|
// get a double from Perl and round it, otherwise
|
|
|
|
// it would get truncated
|
|
|
|
this->x = lrint(SvNV(*av_fetch(point_av, 0, 0)));
|
|
|
|
this->y = lrint(SvNV(*av_fetch(point_av, 1, 0)));
|
2013-07-16 19:04:14 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
Point::from_SV_check(SV* point_sv)
|
|
|
|
{
|
|
|
|
if (sv_isobject(point_sv) && (SvTYPE(SvRV(point_sv)) == SVt_PVMG)) {
|
2014-04-27 17:18:53 +00:00
|
|
|
if (!sv_isa(point_sv, perl_class_name(this)) && !sv_isa(point_sv, perl_class_name_ref(this)))
|
|
|
|
CONFESS("Not a valid %s object (got %s)", perl_class_name(this), HvNAME(SvSTASH(SvRV(point_sv))));
|
2013-07-16 19:04:14 +00:00
|
|
|
*this = *(Point*)SvIV((SV*)SvRV( point_sv ));
|
|
|
|
} else {
|
|
|
|
this->from_SV(point_sv);
|
|
|
|
}
|
|
|
|
}
|
2013-12-20 19:54:11 +00:00
|
|
|
|
2014-05-06 08:07:18 +00:00
|
|
|
|
|
|
|
REGISTER_CLASS(Point3, "Point3");
|
|
|
|
|
2014-04-27 17:18:53 +00:00
|
|
|
#endif
|
|
|
|
|
|
|
|
void
|
|
|
|
Pointf::scale(double factor)
|
|
|
|
{
|
|
|
|
this->x *= factor;
|
|
|
|
this->y *= factor;
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
Pointf::translate(double x, double y)
|
|
|
|
{
|
|
|
|
this->x += x;
|
|
|
|
this->y += y;
|
|
|
|
}
|
|
|
|
|
|
|
|
#ifdef SLIC3RXS
|
|
|
|
|
|
|
|
REGISTER_CLASS(Pointf, "Pointf");
|
|
|
|
|
2013-12-20 19:54:11 +00:00
|
|
|
SV*
|
|
|
|
Pointf::to_SV_pureperl() const {
|
|
|
|
AV* av = newAV();
|
|
|
|
av_fill(av, 1);
|
|
|
|
av_store(av, 0, newSVnv(this->x));
|
|
|
|
av_store(av, 1, newSVnv(this->y));
|
|
|
|
return newRV_noinc((SV*)av);
|
|
|
|
}
|
|
|
|
|
2014-03-24 00:07:30 +00:00
|
|
|
bool
|
2013-12-20 19:54:11 +00:00
|
|
|
Pointf::from_SV(SV* point_sv)
|
|
|
|
{
|
|
|
|
AV* point_av = (AV*)SvRV(point_sv);
|
2014-03-24 00:07:30 +00:00
|
|
|
SV* sv_x = *av_fetch(point_av, 0, 0);
|
|
|
|
SV* sv_y = *av_fetch(point_av, 1, 0);
|
2014-04-05 07:40:24 +00:00
|
|
|
if (!looks_like_number(sv_x) || !looks_like_number(sv_y)) return false;
|
2014-03-24 00:07:30 +00:00
|
|
|
|
|
|
|
this->x = SvNV(sv_x);
|
|
|
|
this->y = SvNV(sv_y);
|
|
|
|
return true;
|
2013-12-20 19:54:11 +00:00
|
|
|
}
|
2013-09-13 12:48:40 +00:00
|
|
|
#endif
|
2013-07-16 19:04:14 +00:00
|
|
|
|
2014-01-07 11:48:09 +00:00
|
|
|
void
|
|
|
|
Pointf3::scale(double factor)
|
|
|
|
{
|
|
|
|
Pointf::scale(factor);
|
|
|
|
this->z *= factor;
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
Pointf3::translate(double x, double y, double z)
|
|
|
|
{
|
|
|
|
Pointf::translate(x, y);
|
|
|
|
this->z += z;
|
|
|
|
}
|
|
|
|
|
2014-04-27 17:18:53 +00:00
|
|
|
#ifdef SLIC3RXS
|
|
|
|
REGISTER_CLASS(Pointf3, "Pointf3");
|
|
|
|
#endif
|
|
|
|
|
2013-07-16 19:04:14 +00:00
|
|
|
}
|