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19 |
19 |
20 ///\ingroup misc |
20 ///\ingroup misc |
21 ///\file |
21 ///\file |
22 ///\brief Classes to compute with Bezier curves. |
22 ///\brief Classes to compute with Bezier curves. |
23 /// |
23 /// |
24 ///Up to now this file is internally used by \ref graph_to_eps.h |
24 ///Up to now this file is used internally by \ref graph_to_eps.h |
25 /// |
25 /// |
26 ///\author Alpar Juttner |
26 ///\author Alpar Juttner |
27 |
27 |
28 #include<lemon/xy.h> |
28 #include<lemon/xy.h> |
29 |
29 |
56 |
56 |
57 Bezier1 after(double t) const |
57 Bezier1 after(double t) const |
58 { |
58 { |
59 return Bezier1(conv(p1,p2,t),p2); |
59 return Bezier1(conv(p1,p2,t),p2); |
60 } |
60 } |
61 Bezier1 operator()(double a,double b) { return before(b).after(a/b); } |
61 Bezier1 revert() { return Bezier1(p2,p1);} |
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62 Bezier1 operator()(double a,double b) { return before(b).after(a/b); } |
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63 xy grad() { return p2-p1; } |
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64 xy grad(double t) { return grad(); } |
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65 |
62 }; |
66 }; |
63 |
67 |
64 class Bezier2 : public BezierBase |
68 class Bezier2 : public BezierBase |
65 { |
69 { |
66 public: |
70 public: |
85 { |
89 { |
86 xy q(conv(p1,p2,t)); |
90 xy q(conv(p1,p2,t)); |
87 xy r(conv(p2,p3,t)); |
91 xy r(conv(p2,p3,t)); |
88 return Bezier2(conv(q,r,t),r,p3); |
92 return Bezier2(conv(q,r,t),r,p3); |
89 } |
93 } |
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94 Bezier2 revert() { return Bezier2(p3,p2,p1);} |
90 Bezier2 operator()(double a,double b) { return before(b).after(a/b); } |
95 Bezier2 operator()(double a,double b) { return before(b).after(a/b); } |
91 |
96 Bezier1 grad() { return Bezier1(2.0*(p2-p1),2.0*(p3-p2)); } |
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97 xy grad(double t) { return grad()(t); } |
92 }; |
98 }; |
93 |
99 |
94 class Bezier3 : public BezierBase |
100 class Bezier3 : public BezierBase |
95 { |
101 { |
96 public: |
102 public: |
128 xy a(conv(p,q,t)); |
134 xy a(conv(p,q,t)); |
129 xy b(conv(q,r,t)); |
135 xy b(conv(q,r,t)); |
130 xy c(conv(a,b,t)); |
136 xy c(conv(a,b,t)); |
131 return Bezier3(c,b,r,p4); |
137 return Bezier3(c,b,r,p4); |
132 } |
138 } |
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139 Bezier3 revert() { return Bezier3(p4,p3,p2,p1);} |
133 Bezier3 operator()(double a,double b) { return before(b).after(a/b); } |
140 Bezier3 operator()(double a,double b) { return before(b).after(a/b); } |
134 |
141 Bezier2 grad() { return Bezier2(3.0*(p2-p1),3.0*(p3-p2),3.0*(p4-p3)); } |
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142 xy grad(double t) { return grad()(t); } |
135 }; |
143 }; |
136 |
144 |
137 } //END OF NAMESPACE LEMON |
145 } //END OF NAMESPACE LEMON |
138 |
146 |
139 #endif // LEMON_BEZIER_H |
147 #endif // LEMON_BEZIER_H |