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#ifndef SEEN_Geom_TRANSFORMS_H
#define SEEN_Geom_TRANSFORMS_H
#include "matrix.h"
#include <cmath>
#ifndef M_PI
#define M_PI 3.14159265359;
#endif
namespace Geom {
template <typename T>
struct TransformConcept {
T t;
Matrix m;
Point p;
void constraints() {
m = t; //implicit conversion
t = t.inverse();
p = p * t;
t = t * t;
}
};
class Rotate;
class Translate {
private:
Translate();
Point vec;
public:
explicit Translate(Point const &p) : vec(p) {}
explicit Translate(Coord const x, Coord const y) : vec(x, y) {}
inline operator Matrix() const { return Matrix(1, 0, 0, 1, vec[X], vec[Y]); }
inline Coord operator[](Dim2 const dim) const { return vec[dim]; }
inline Coord operator[](unsigned const dim) const { return vec[dim]; }
inline bool operator==(Translate const &o) const { return vec == o.vec; }
inline bool operator!=(Translate const &o) const { return vec != o.vec; }
inline Translate inverse() const { return Translate(-vec); }
friend Point operator*(Point const &v, Translate const &t);
inline Translate operator*(Translate const &b) const { return Translate(vec + b.vec); }
friend Matrix operator*(Translate const &t, Rotate const &r);
};
inline Point operator*(Point const &v, Translate const &t) { return v + t.vec; }
class Scale {
private:
Point vec;
Scale();
public:
explicit Scale(Point const &p) : vec(p) {}
Scale(Coord const x, Coord const y) : vec(x, y) {}
explicit Scale(Coord const s) : vec(s, s) {}
inline operator Matrix() const { return Matrix(vec[X], 0, 0, vec[Y], 0, 0); }
inline Coord operator[](Dim2 const d) const { return vec[d]; }
inline Coord operator[](unsigned const d) const { return vec[d]; }
//TODO: should we keep these mutators? add them to the other transforms?
inline Coord &operator[](Dim2 const d) { return vec[d]; }
inline Coord &operator[](unsigned const d) { return vec[d]; }
inline bool operator==(Scale const &o) const { return vec == o.vec; }
inline bool operator!=(Scale const &o) const { return vec != o.vec; }
inline Scale inverse() const { return Scale(1./vec[0], 1./vec[1]); }
friend Point operator*(Point const &v, Translate const &t);
inline Scale operator*(Scale const &b) const { return Scale(vec[X]*b[X], vec[Y]*b[Y]); }
};
inline Point operator*(Point const &p, Scale const &s) { return Point(p[X] * s[X], p[Y] * s[Y]); }
/** Notionally an Geom::Matrix corresponding to rotation about the origin.
Behaves like Geom::Matrix for multiplication.
**/
class Rotate {
private:
Rotate();
Point vec;
public:
explicit Rotate(Coord theta) : vec(std::cos(theta), std::sin(theta)) {}
Rotate(Point const &p) {Point v = p; v.normalize(); vec = v;} //TODO: UGLY!
explicit Rotate(Coord x, Coord y) { Rotate(Point(x, y)); }
inline operator Matrix() const { return Matrix(vec[X], vec[Y], vec[Y], -vec[X], 0, 0); }
inline Coord operator[](Dim2 const dim) const { return vec[dim]; }
inline Coord operator[](unsigned const dim) const { return vec[dim]; }
inline bool operator==(Rotate const &o) const { return vec == o.vec; }
inline bool operator!=(Rotate const &o) const { return vec != o.vec; }
Rotate inverse() const { return Rotate( Point(vec[X], -vec[Y]) ); }
static Rotate from_degrees(Coord deg) {
Coord rad = (deg / 180.0) * M_PI;
return Rotate(rad);
}
friend Point operator*(Point const &v, Rotate const &r);
inline Rotate operator*(Rotate const &b) const { return Rotate(vec * b); }
};
inline Point operator*(Point const &v, Rotate const &r) { return v ^ r.vec; }
Matrix operator*(Translate const &t, Scale const &s);
Matrix operator*(Translate const &t, Rotate const &r);
Matrix operator*(Scale const &s, Translate const &t);
Matrix operator*(Scale const &s, Matrix const &m);
Matrix operator*(Matrix const &m, Translate const &t);
Matrix operator*(Matrix const &m, Scale const &s);
Matrix operator*(Matrix const &m, Rotate const &r);
Matrix operator*(Matrix const &m1, Matrix const &m2);
//TODO: matrix to trans/scale/rotate
} /* namespace Geom */
#endif /* !SEEN_Geom_TRANSFORMS_H */
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 :
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