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693 lines
19 KiB
693 lines
19 KiB
//---------------------------------------------------------------------------- |
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// Anti-Grain Geometry - Version 2.4 |
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// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com) |
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// Copyright (C) 2005 Tony Juricic (tonygeek@yahoo.com) |
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// |
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// Permission to copy, use, modify, sell and distribute this software |
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// is granted provided this copyright notice appears in all copies. |
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// This software is provided "as is" without express or implied |
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// warranty, and with no claim as to its suitability for any purpose. |
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// |
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//---------------------------------------------------------------------------- |
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// Contact: mcseem@antigrain.com |
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// mcseemagg@yahoo.com |
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// http://www.antigrain.com |
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//---------------------------------------------------------------------------- |
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#ifndef AGG_CURVES_INCLUDED |
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#define AGG_CURVES_INCLUDED |
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#include "agg_array.h" |
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namespace agg |
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{ |
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// See Implementation agg_curves.cpp |
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//--------------------------------------------curve_approximation_method_e |
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enum curve_approximation_method_e |
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{ |
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curve_inc, |
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curve_div |
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}; |
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//--------------------------------------------------------------curve3_inc |
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class curve3_inc |
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{ |
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public: |
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curve3_inc() : |
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m_num_steps(0), m_step(0), m_scale(1.0) { } |
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curve3_inc(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3) : |
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m_num_steps(0), m_step(0), m_scale(1.0) |
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{ |
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init(x1, y1, x2, y2, x3, y3); |
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} |
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void reset() { m_num_steps = 0; m_step = -1; } |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3); |
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void approximation_method(curve_approximation_method_e) {} |
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curve_approximation_method_e approximation_method() const { return curve_inc; } |
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void approximation_scale(double s); |
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double approximation_scale() const; |
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void angle_tolerance(double) {} |
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double angle_tolerance() const { return 0.0; } |
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void cusp_limit(double) {} |
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double cusp_limit() const { return 0.0; } |
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void rewind(unsigned path_id); |
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unsigned vertex(double* x, double* y); |
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private: |
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int m_num_steps; |
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int m_step; |
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double m_scale; |
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double m_start_x; |
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double m_start_y; |
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double m_end_x; |
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double m_end_y; |
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double m_fx; |
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double m_fy; |
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double m_dfx; |
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double m_dfy; |
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double m_ddfx; |
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double m_ddfy; |
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double m_saved_fx; |
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double m_saved_fy; |
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double m_saved_dfx; |
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double m_saved_dfy; |
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}; |
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//-------------------------------------------------------------curve3_div |
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class curve3_div |
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{ |
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public: |
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curve3_div() : |
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m_approximation_scale(1.0), |
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m_angle_tolerance(0.0), |
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m_count(0) |
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{} |
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curve3_div(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3) : |
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m_approximation_scale(1.0), |
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m_angle_tolerance(0.0), |
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m_count(0) |
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{ |
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init(x1, y1, x2, y2, x3, y3); |
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} |
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void reset() { m_points.remove_all(); m_count = 0; } |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3); |
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void approximation_method(curve_approximation_method_e) {} |
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curve_approximation_method_e approximation_method() const { return curve_div; } |
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void approximation_scale(double s) { m_approximation_scale = s; } |
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double approximation_scale() const { return m_approximation_scale; } |
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void angle_tolerance(double a) { m_angle_tolerance = a; } |
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double angle_tolerance() const { return m_angle_tolerance; } |
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void cusp_limit(double) {} |
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double cusp_limit() const { return 0.0; } |
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void rewind(unsigned) |
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{ |
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m_count = 0; |
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} |
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unsigned vertex(double* x, double* y) |
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{ |
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if(m_count >= m_points.size()) return path_cmd_stop; |
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const point_d& p = m_points[m_count++]; |
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*x = p.x; |
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*y = p.y; |
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return (m_count == 1) ? path_cmd_move_to : path_cmd_line_to; |
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} |
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private: |
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void bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3); |
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void recursive_bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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unsigned level); |
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double m_approximation_scale; |
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double m_distance_tolerance_square; |
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double m_angle_tolerance; |
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unsigned m_count; |
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pod_bvector<point_d> m_points; |
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}; |
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//-------------------------------------------------------------curve4_points |
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struct curve4_points |
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{ |
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double cp[8]; |
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curve4_points() {} |
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curve4_points(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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cp[0] = x1; cp[1] = y1; cp[2] = x2; cp[3] = y2; |
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cp[4] = x3; cp[5] = y3; cp[6] = x4; cp[7] = y4; |
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} |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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cp[0] = x1; cp[1] = y1; cp[2] = x2; cp[3] = y2; |
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cp[4] = x3; cp[5] = y3; cp[6] = x4; cp[7] = y4; |
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} |
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double operator [] (unsigned i) const { return cp[i]; } |
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double& operator [] (unsigned i) { return cp[i]; } |
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}; |
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//-------------------------------------------------------------curve4_inc |
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class curve4_inc |
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{ |
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public: |
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curve4_inc() : |
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m_num_steps(0), m_step(0), m_scale(1.0) { } |
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curve4_inc(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) : |
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m_num_steps(0), m_step(0), m_scale(1.0) |
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{ |
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init(x1, y1, x2, y2, x3, y3, x4, y4); |
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} |
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curve4_inc(const curve4_points& cp) : |
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m_num_steps(0), m_step(0), m_scale(1.0) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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void reset() { m_num_steps = 0; m_step = -1; } |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4); |
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void init(const curve4_points& cp) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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void approximation_method(curve_approximation_method_e) {} |
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curve_approximation_method_e approximation_method() const { return curve_inc; } |
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void approximation_scale(double s); |
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double approximation_scale() const; |
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void angle_tolerance(double) {} |
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double angle_tolerance() const { return 0.0; } |
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void cusp_limit(double) {} |
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double cusp_limit() const { return 0.0; } |
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void rewind(unsigned path_id); |
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unsigned vertex(double* x, double* y); |
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private: |
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int m_num_steps; |
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int m_step; |
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double m_scale; |
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double m_start_x; |
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double m_start_y; |
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double m_end_x; |
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double m_end_y; |
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double m_fx; |
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double m_fy; |
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double m_dfx; |
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double m_dfy; |
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double m_ddfx; |
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double m_ddfy; |
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double m_dddfx; |
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double m_dddfy; |
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double m_saved_fx; |
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double m_saved_fy; |
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double m_saved_dfx; |
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double m_saved_dfy; |
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double m_saved_ddfx; |
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double m_saved_ddfy; |
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}; |
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//-------------------------------------------------------catrom_to_bezier |
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inline curve4_points catrom_to_bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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// Trans. matrix Catmull-Rom to Bezier |
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// |
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// 0 1 0 0 |
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// -1/6 1 1/6 0 |
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// 0 1/6 1 -1/6 |
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// 0 0 1 0 |
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// |
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return curve4_points( |
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x2, |
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y2, |
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(-x1 + 6*x2 + x3) / 6, |
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(-y1 + 6*y2 + y3) / 6, |
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( x2 + 6*x3 - x4) / 6, |
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( y2 + 6*y3 - y4) / 6, |
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x3, |
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y3); |
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} |
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//----------------------------------------------------------------------- |
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inline curve4_points |
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catrom_to_bezier(const curve4_points& cp) |
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{ |
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return catrom_to_bezier(cp[0], cp[1], cp[2], cp[3], |
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cp[4], cp[5], cp[6], cp[7]); |
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} |
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//-----------------------------------------------------ubspline_to_bezier |
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inline curve4_points ubspline_to_bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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// Trans. matrix Uniform BSpline to Bezier |
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// |
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// 1/6 4/6 1/6 0 |
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// 0 4/6 2/6 0 |
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// 0 2/6 4/6 0 |
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// 0 1/6 4/6 1/6 |
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// |
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return curve4_points( |
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(x1 + 4*x2 + x3) / 6, |
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(y1 + 4*y2 + y3) / 6, |
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(4*x2 + 2*x3) / 6, |
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(4*y2 + 2*y3) / 6, |
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(2*x2 + 4*x3) / 6, |
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(2*y2 + 4*y3) / 6, |
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(x2 + 4*x3 + x4) / 6, |
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(y2 + 4*y3 + y4) / 6); |
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} |
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//----------------------------------------------------------------------- |
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inline curve4_points |
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ubspline_to_bezier(const curve4_points& cp) |
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{ |
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return ubspline_to_bezier(cp[0], cp[1], cp[2], cp[3], |
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cp[4], cp[5], cp[6], cp[7]); |
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} |
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//------------------------------------------------------hermite_to_bezier |
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inline curve4_points hermite_to_bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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// Trans. matrix Hermite to Bezier |
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// |
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// 1 0 0 0 |
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// 1 0 1/3 0 |
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// 0 1 0 -1/3 |
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// 0 1 0 0 |
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// |
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return curve4_points( |
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x1, |
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y1, |
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(3*x1 + x3) / 3, |
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(3*y1 + y3) / 3, |
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(3*x2 - x4) / 3, |
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(3*y2 - y4) / 3, |
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x2, |
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y2); |
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} |
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//----------------------------------------------------------------------- |
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inline curve4_points |
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hermite_to_bezier(const curve4_points& cp) |
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{ |
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return hermite_to_bezier(cp[0], cp[1], cp[2], cp[3], |
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cp[4], cp[5], cp[6], cp[7]); |
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} |
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//-------------------------------------------------------------curve4_div |
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class curve4_div |
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{ |
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public: |
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curve4_div() : |
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m_approximation_scale(1.0), |
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m_angle_tolerance(0.0), |
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m_cusp_limit(0.0), |
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m_count(0) |
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{} |
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curve4_div(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) : |
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m_approximation_scale(1.0), |
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m_angle_tolerance(0.0), |
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m_cusp_limit(0.0), |
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m_count(0) |
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{ |
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init(x1, y1, x2, y2, x3, y3, x4, y4); |
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} |
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curve4_div(const curve4_points& cp) : |
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m_approximation_scale(1.0), |
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m_angle_tolerance(0.0), |
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m_count(0) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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void reset() { m_points.remove_all(); m_count = 0; } |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4); |
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void init(const curve4_points& cp) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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void approximation_method(curve_approximation_method_e) {} |
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curve_approximation_method_e approximation_method() const |
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{ |
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return curve_div; |
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} |
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void approximation_scale(double s) { m_approximation_scale = s; } |
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double approximation_scale() const { return m_approximation_scale; } |
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void angle_tolerance(double a) { m_angle_tolerance = a; } |
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double angle_tolerance() const { return m_angle_tolerance; } |
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void cusp_limit(double v) |
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{ |
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m_cusp_limit = (v == 0.0) ? 0.0 : pi - v; |
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} |
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double cusp_limit() const |
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{ |
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return (m_cusp_limit == 0.0) ? 0.0 : pi - m_cusp_limit; |
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} |
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void rewind(unsigned) |
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{ |
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m_count = 0; |
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} |
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unsigned vertex(double* x, double* y) |
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{ |
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if(m_count >= m_points.size()) return path_cmd_stop; |
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const point_d& p = m_points[m_count++]; |
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*x = p.x; |
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*y = p.y; |
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return (m_count == 1) ? path_cmd_move_to : path_cmd_line_to; |
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} |
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private: |
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void bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4); |
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void recursive_bezier(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4, |
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unsigned level); |
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double m_approximation_scale; |
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double m_distance_tolerance_square; |
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double m_angle_tolerance; |
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double m_cusp_limit; |
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unsigned m_count; |
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pod_bvector<point_d> m_points; |
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}; |
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//-----------------------------------------------------------------curve3 |
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class curve3 |
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{ |
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public: |
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curve3() : m_approximation_method(curve_div) {} |
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curve3(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3) : |
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m_approximation_method(curve_div) |
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{ |
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init(x1, y1, x2, y2, x3, y3); |
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} |
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void reset() |
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{ |
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m_curve_inc.reset(); |
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m_curve_div.reset(); |
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} |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3) |
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{ |
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if(m_approximation_method == curve_inc) |
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{ |
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m_curve_inc.init(x1, y1, x2, y2, x3, y3); |
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} |
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else |
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{ |
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m_curve_div.init(x1, y1, x2, y2, x3, y3); |
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} |
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} |
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void approximation_method(curve_approximation_method_e v) |
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{ |
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m_approximation_method = v; |
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} |
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curve_approximation_method_e approximation_method() const |
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{ |
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return m_approximation_method; |
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} |
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void approximation_scale(double s) |
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{ |
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m_curve_inc.approximation_scale(s); |
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m_curve_div.approximation_scale(s); |
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} |
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double approximation_scale() const |
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{ |
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return m_curve_inc.approximation_scale(); |
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} |
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void angle_tolerance(double a) |
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{ |
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m_curve_div.angle_tolerance(a); |
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} |
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double angle_tolerance() const |
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{ |
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return m_curve_div.angle_tolerance(); |
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} |
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void cusp_limit(double v) |
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{ |
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m_curve_div.cusp_limit(v); |
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} |
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double cusp_limit() const |
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{ |
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return m_curve_div.cusp_limit(); |
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} |
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void rewind(unsigned path_id) |
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{ |
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if(m_approximation_method == curve_inc) |
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{ |
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m_curve_inc.rewind(path_id); |
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} |
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else |
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{ |
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m_curve_div.rewind(path_id); |
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} |
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} |
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unsigned vertex(double* x, double* y) |
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{ |
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if(m_approximation_method == curve_inc) |
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{ |
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return m_curve_inc.vertex(x, y); |
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} |
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return m_curve_div.vertex(x, y); |
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} |
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private: |
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curve3_inc m_curve_inc; |
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curve3_div m_curve_div; |
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curve_approximation_method_e m_approximation_method; |
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}; |
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//-----------------------------------------------------------------curve4 |
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class curve4 |
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{ |
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public: |
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curve4() : m_approximation_method(curve_div) {} |
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curve4(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) : |
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m_approximation_method(curve_div) |
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{ |
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init(x1, y1, x2, y2, x3, y3, x4, y4); |
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} |
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curve4(const curve4_points& cp) : |
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m_approximation_method(curve_div) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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void reset() |
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{ |
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m_curve_inc.reset(); |
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m_curve_div.reset(); |
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} |
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void init(double x1, double y1, |
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double x2, double y2, |
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double x3, double y3, |
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double x4, double y4) |
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{ |
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if(m_approximation_method == curve_inc) |
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{ |
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m_curve_inc.init(x1, y1, x2, y2, x3, y3, x4, y4); |
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} |
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else |
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{ |
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m_curve_div.init(x1, y1, x2, y2, x3, y3, x4, y4); |
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} |
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} |
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void init(const curve4_points& cp) |
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{ |
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init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]); |
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} |
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|
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void approximation_method(curve_approximation_method_e v) |
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{ |
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m_approximation_method = v; |
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} |
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|
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curve_approximation_method_e approximation_method() const |
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{ |
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return m_approximation_method; |
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} |
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|
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void approximation_scale(double s) |
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{ |
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m_curve_inc.approximation_scale(s); |
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m_curve_div.approximation_scale(s); |
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} |
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double approximation_scale() const { return m_curve_inc.approximation_scale(); } |
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|
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void angle_tolerance(double v) |
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{ |
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m_curve_div.angle_tolerance(v); |
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} |
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|
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double angle_tolerance() const |
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{ |
|
return m_curve_div.angle_tolerance(); |
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} |
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|
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void cusp_limit(double v) |
|
{ |
|
m_curve_div.cusp_limit(v); |
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} |
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|
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double cusp_limit() const |
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{ |
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return m_curve_div.cusp_limit(); |
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} |
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|
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void rewind(unsigned path_id) |
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{ |
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if(m_approximation_method == curve_inc) |
|
{ |
|
m_curve_inc.rewind(path_id); |
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} |
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else |
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{ |
|
m_curve_div.rewind(path_id); |
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} |
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} |
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|
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unsigned vertex(double* x, double* y) |
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{ |
|
if(m_approximation_method == curve_inc) |
|
{ |
|
return m_curve_inc.vertex(x, y); |
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} |
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return m_curve_div.vertex(x, y); |
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} |
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|
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private: |
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curve4_inc m_curve_inc; |
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curve4_div m_curve_div; |
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curve_approximation_method_e m_approximation_method; |
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}; |
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|
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|
|
|
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} |
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#endif
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