diff -r c3ff11b0025c -r 75a29ac69c19 lemon/bits/bezier.h --- a/lemon/bits/bezier.h Wed Sep 06 11:39:22 2006 +0000 +++ b/lemon/bits/bezier.h Thu Sep 07 13:27:16 2006 +0000 @@ -27,26 +27,27 @@ /// ///\author Alpar Juttner -#include +#include namespace lemon { + namespace dim2 { class BezierBase { public: - typedef xy xy; + typedef Point Point; protected: - static xy conv(xy x,xy y,double t) {return (1-t)*x+t*y;} + static Point conv(Point x,Point y,double t) {return (1-t)*x+t*y;} }; class Bezier1 : public BezierBase { public: - xy p1,p2; + Point p1,p2; Bezier1() {} - Bezier1(xy _p1, xy _p2) :p1(_p1), p2(_p2) {} + Bezier1(Point _p1, Point _p2) :p1(_p1), p2(_p2) {} - xy operator()(double t) const + Point operator()(double t) const { // return conv(conv(p1,p2,t),conv(p2,p3,t),t); return conv(p1,p2,t); @@ -63,59 +64,60 @@ Bezier1 revert() const { return Bezier1(p2,p1);} Bezier1 operator()(double a,double b) const { return before(b).after(a/b); } - xy grad() const { return p2-p1; } - xy norm() const { return rot90(p2-p1); } - xy grad(double) const { return grad(); } - xy norm(double t) const { return rot90(grad(t)); } + Point grad() const { return p2-p1; } + Point norm() const { return rot90(p2-p1); } + Point grad(double) const { return grad(); } + Point norm(double t) const { return rot90(grad(t)); } }; class Bezier2 : public BezierBase { public: - xy p1,p2,p3; + Point p1,p2,p3; Bezier2() {} - Bezier2(xy _p1, xy _p2, xy _p3) :p1(_p1), p2(_p2), p3(_p3) {} + Bezier2(Point _p1, Point _p2, Point _p3) :p1(_p1), p2(_p2), p3(_p3) {} Bezier2(const Bezier1 &b) : p1(b.p1), p2(conv(b.p1,b.p2,.5)), p3(b.p2) {} - xy operator()(double t) const + Point operator()(double t) const { // return conv(conv(p1,p2,t),conv(p2,p3,t),t); return ((1-t)*(1-t))*p1+(2*(1-t)*t)*p2+(t*t)*p3; } Bezier2 before(double t) const { - xy q(conv(p1,p2,t)); - xy r(conv(p2,p3,t)); + Point q(conv(p1,p2,t)); + Point r(conv(p2,p3,t)); return Bezier2(p1,q,conv(q,r,t)); } Bezier2 after(double t) const { - xy q(conv(p1,p2,t)); - xy r(conv(p2,p3,t)); + Point q(conv(p1,p2,t)); + Point r(conv(p2,p3,t)); return Bezier2(conv(q,r,t),r,p3); } Bezier2 revert() const { return Bezier2(p3,p2,p1);} Bezier2 operator()(double a,double b) const { return before(b).after(a/b); } Bezier1 grad() const { return Bezier1(2.0*(p2-p1),2.0*(p3-p2)); } Bezier1 norm() const { return Bezier1(2.0*rot90(p2-p1),2.0*rot90(p3-p2)); } - xy grad(double t) const { return grad()(t); } - xy norm(double t) const { return rot90(grad(t)); } + Point grad(double t) const { return grad()(t); } + Point norm(double t) const { return rot90(grad(t)); } }; class Bezier3 : public BezierBase { public: - xy p1,p2,p3,p4; + Point p1,p2,p3,p4; Bezier3() {} - Bezier3(xy _p1, xy _p2, xy _p3, xy _p4) :p1(_p1), p2(_p2), p3(_p3), p4(_p4) {} + Bezier3(Point _p1, Point _p2, Point _p3, Point _p4) + : p1(_p1), p2(_p2), p3(_p3), p4(_p4) {} Bezier3(const Bezier1 &b) : p1(b.p1), p2(conv(b.p1,b.p2,1.0/3.0)), p3(conv(b.p1,b.p2,2.0/3.0)), p4(b.p2) {} Bezier3(const Bezier2 &b) : p1(b.p1), p2(conv(b.p1,b.p2,2.0/3.0)), p3(conv(b.p2,b.p3,1.0/3.0)), p4(b.p3) {} - xy operator()(double t) const + Point operator()(double t) const { // return Bezier2(conv(p1,p2,t),conv(p2,p3,t),conv(p3,p4,t))(t); return ((1-t)*(1-t)*(1-t))*p1+(3*t*(1-t)*(1-t))*p2+ @@ -123,23 +125,23 @@ } Bezier3 before(double t) const { - xy p(conv(p1,p2,t)); - xy q(conv(p2,p3,t)); - xy r(conv(p3,p4,t)); - xy a(conv(p,q,t)); - xy b(conv(q,r,t)); - xy c(conv(a,b,t)); + Point p(conv(p1,p2,t)); + Point q(conv(p2,p3,t)); + Point r(conv(p3,p4,t)); + Point a(conv(p,q,t)); + Point b(conv(q,r,t)); + Point c(conv(a,b,t)); return Bezier3(p1,p,a,c); } Bezier3 after(double t) const { - xy p(conv(p1,p2,t)); - xy q(conv(p2,p3,t)); - xy r(conv(p3,p4,t)); - xy a(conv(p,q,t)); - xy b(conv(q,r,t)); - xy c(conv(a,b,t)); + Point p(conv(p1,p2,t)); + Point q(conv(p2,p3,t)); + Point r(conv(p3,p4,t)); + Point a(conv(p,q,t)); + Point b(conv(q,r,t)); + Point c(conv(a,b,t)); return Bezier3(c,b,r,p4); } Bezier3 revert() const { return Bezier3(p4,p3,p2,p1);} @@ -148,18 +150,18 @@ Bezier2 norm() const { return Bezier2(3.0*rot90(p2-p1), 3.0*rot90(p3-p2), 3.0*rot90(p4-p3)); } - xy grad(double t) const { return grad()(t); } - xy norm(double t) const { return rot90(grad(t)); } + Point grad(double t) const { return grad()(t); } + Point norm(double t) const { return rot90(grad(t)); } template R recSplit(F &_f,const S &_s,D _d) const { - const xy a=(p1+p2)/2; - const xy b=(p2+p3)/2; - const xy c=(p3+p4)/2; - const xy d=(a+b)/2; - const xy e=(b+c)/2; - const xy f=(d+e)/2; + const Point a=(p1+p2)/2; + const Point b=(p2+p3)/2; + const Point c=(p3+p4)/2; + const Point d=(a+b)/2; + const Point e=(b+c)/2; + const Point f=(d+e)/2; R f1=_f(Bezier3(p1,a,d,e),_d); R f2=_f(Bezier3(e,d,c,p4),_d); return _s(f1,f2); @@ -167,6 +169,8 @@ }; -} //END OF NAMESPACE LEMON + +} //END OF NAMESPACE dim2 +} //END OF NAMESPACE lemon #endif // LEMON_BEZIER_H