edge-segments.h

#pragma once

#include "Vector2.hpp"
#include "SignedDistance.hpp"
#include "EdgeColor.h"

namespace msdfgen {

// Parameters for iterative search of closest point on a cubic Bezier curve. Increase for higher precision.
#define MSDFGEN_CUBIC_SEARCH_STARTS 4
#define MSDFGEN_CUBIC_SEARCH_STEPS 4

/// An abstract edge segment.
class EdgeSegment {

public:
    EdgeColor color;

    static EdgeSegment *create(Point2 p0, Point2 p1, EdgeColor edgeColor = WHITE);
    static EdgeSegment *create(Point2 p0, Point2 p1, Point2 p2, EdgeColor edgeColor = WHITE);
    static EdgeSegment *create(Point2 p0, Point2 p1, Point2 p2, Point2 p3, EdgeColor edgeColor = WHITE);

    EdgeSegment(EdgeColor edgeColor = WHITE) : color(edgeColor) { }
    virtual ~EdgeSegment() { }
    /// Creates a copy of the edge segment.
    virtual EdgeSegment *clone() const = 0;
    /// Returns the numeric code of the edge segment's type.
    virtual int type() const = 0;
    /// Returns the array of control points.
    virtual const Point2 *controlPoints() const = 0;
    /// Returns the point on the edge specified by the parameter (between 0 and 1).
    virtual Point2 point(double param) const = 0;
    /// Returns the direction the edge has at the point specified by the parameter.
    virtual Vector2 direction(double param) const = 0;
    /// Returns the change of direction (second derivative) at the point specified by the parameter.
    virtual Vector2 directionChange(double param) const = 0;
    /// Returns the minimum signed distance between origin and the edge.
    virtual SignedDistance signedDistance(Point2 origin, double &param) const = 0;
    /// Converts a previously retrieved signed distance from origin to perpendicular distance.
    virtual void distanceToPerpendicularDistance(SignedDistance &distance, Point2 origin, double param) const;
    /// Outputs a list of (at most three) intersections (their X coordinates) with an infinite horizontal scanline at y and returns how many there are.
    virtual int scanlineIntersections(double x[3], int dy[3], double y) const = 0;
    /// Adjusts the bounding box to fit the edge segment.
    virtual void bound(double &l, double &b, double &r, double &t) const = 0;

    /// Reverses the edge (swaps its start point and end point).
    virtual void reverse() = 0;
    /// Moves the start point of the edge segment.
    virtual void moveStartPoint(Point2 to) = 0;
    /// Moves the end point of the edge segment.
    virtual void moveEndPoint(Point2 to) = 0;
    /// Splits the edge segments into thirds which together represent the original edge.
    virtual void splitInThirds(EdgeSegment *&part0, EdgeSegment *&part1, EdgeSegment *&part2) const = 0;

};

/// A line segment.
class LinearSegment : public EdgeSegment {

public:
    enum EdgeType {
        EDGE_TYPE = 1
    };

    Point2 p[2];

    LinearSegment(Point2 p0, Point2 p1, EdgeColor edgeColor = WHITE);
    LinearSegment *clone() const;
    int type() const;
    const Point2 *controlPoints() const;
    Point2 point(double param) const;
    Vector2 direction(double param) const;
    Vector2 directionChange(double param) const;
    double length() const;
    SignedDistance signedDistance(Point2 origin, double &param) const;
    int scanlineIntersections(double x[3], int dy[3], double y) const;
    void bound(double &l, double &b, double &r, double &t) const;

    void reverse();
    void moveStartPoint(Point2 to);
    void moveEndPoint(Point2 to);
    void splitInThirds(EdgeSegment *&part0, EdgeSegment *&part1, EdgeSegment *&part2) const;

};

/// A quadratic Bezier curve.
class QuadraticSegment : public EdgeSegment {

public:
    enum EdgeType {
        EDGE_TYPE = 2
    };

    Point2 p[3];

    QuadraticSegment(Point2 p0, Point2 p1, Point2 p2, EdgeColor edgeColor = WHITE);
    QuadraticSegment *clone() const;
    int type() const;
    const Point2 *controlPoints() const;
    Point2 point(double param) const;
    Vector2 direction(double param) const;
    Vector2 directionChange(double param) const;
    double length() const;
    SignedDistance signedDistance(Point2 origin, double &param) const;
    int scanlineIntersections(double x[3], int dy[3], double y) const;
    void bound(double &l, double &b, double &r, double &t) const;

    void reverse();
    void moveStartPoint(Point2 to);
    void moveEndPoint(Point2 to);
    void splitInThirds(EdgeSegment *&part0, EdgeSegment *&part1, EdgeSegment *&part2) const;

    EdgeSegment *convertToCubic() const;

};

/// A cubic Bezier curve.
class CubicSegment : public EdgeSegment {

public:
    enum EdgeType {
        EDGE_TYPE = 3
    };

    Point2 p[4];

    CubicSegment(Point2 p0, Point2 p1, Point2 p2, Point2 p3, EdgeColor edgeColor = WHITE);
    CubicSegment *clone() const;
    int type() const;
    const Point2 *controlPoints() const;
    Point2 point(double param) const;
    Vector2 direction(double param) const;
    Vector2 directionChange(double param) const;
    SignedDistance signedDistance(Point2 origin, double &param) const;
    int scanlineIntersections(double x[3], int dy[3], double y) const;
    void bound(double &l, double &b, double &r, double &t) const;

    void reverse();
    void moveStartPoint(Point2 to);
    void moveEndPoint(Point2 to);
    void splitInThirds(EdgeSegment *&part0, EdgeSegment *&part1, EdgeSegment *&part2) const;

};

}