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694 lines
19 KiB
C++
694 lines
19 KiB
C++
//----------------------------------------------------------------------------
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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)
|
|
{
|
|
m_curve_inc.rewind(path_id);
|
|
}
|
|
else
|
|
{
|
|
m_curve_div.rewind(path_id);
|
|
}
|
|
}
|
|
|
|
unsigned vertex(double* x, double* y)
|
|
{
|
|
if(m_approximation_method == curve_inc)
|
|
{
|
|
return m_curve_inc.vertex(x, y);
|
|
}
|
|
return m_curve_div.vertex(x, y);
|
|
}
|
|
|
|
private:
|
|
curve3_inc m_curve_inc;
|
|
curve3_div m_curve_div;
|
|
curve_approximation_method_e m_approximation_method;
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
//-----------------------------------------------------------------curve4
|
|
class curve4
|
|
{
|
|
public:
|
|
curve4() : m_approximation_method(curve_div) {}
|
|
curve4(double x1, double y1,
|
|
double x2, double y2,
|
|
double x3, double y3,
|
|
double x4, double y4) :
|
|
m_approximation_method(curve_div)
|
|
{
|
|
init(x1, y1, x2, y2, x3, y3, x4, y4);
|
|
}
|
|
|
|
curve4(const curve4_points& cp) :
|
|
m_approximation_method(curve_div)
|
|
{
|
|
init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]);
|
|
}
|
|
|
|
void reset()
|
|
{
|
|
m_curve_inc.reset();
|
|
m_curve_div.reset();
|
|
}
|
|
|
|
void init(double x1, double y1,
|
|
double x2, double y2,
|
|
double x3, double y3,
|
|
double x4, double y4)
|
|
{
|
|
if(m_approximation_method == curve_inc)
|
|
{
|
|
m_curve_inc.init(x1, y1, x2, y2, x3, y3, x4, y4);
|
|
}
|
|
else
|
|
{
|
|
m_curve_div.init(x1, y1, x2, y2, x3, y3, x4, y4);
|
|
}
|
|
}
|
|
|
|
void init(const curve4_points& cp)
|
|
{
|
|
init(cp[0], cp[1], cp[2], cp[3], cp[4], cp[5], cp[6], cp[7]);
|
|
}
|
|
|
|
void approximation_method(curve_approximation_method_e v)
|
|
{
|
|
m_approximation_method = v;
|
|
}
|
|
|
|
curve_approximation_method_e approximation_method() const
|
|
{
|
|
return m_approximation_method;
|
|
}
|
|
|
|
void approximation_scale(double s)
|
|
{
|
|
m_curve_inc.approximation_scale(s);
|
|
m_curve_div.approximation_scale(s);
|
|
}
|
|
double approximation_scale() const { return m_curve_inc.approximation_scale(); }
|
|
|
|
void angle_tolerance(double v)
|
|
{
|
|
m_curve_div.angle_tolerance(v);
|
|
}
|
|
|
|
double angle_tolerance() const
|
|
{
|
|
return m_curve_div.angle_tolerance();
|
|
}
|
|
|
|
void cusp_limit(double v)
|
|
{
|
|
m_curve_div.cusp_limit(v);
|
|
}
|
|
|
|
double cusp_limit() const
|
|
{
|
|
return m_curve_div.cusp_limit();
|
|
}
|
|
|
|
void rewind(unsigned path_id)
|
|
{
|
|
if(m_approximation_method == curve_inc)
|
|
{
|
|
m_curve_inc.rewind(path_id);
|
|
}
|
|
else
|
|
{
|
|
m_curve_div.rewind(path_id);
|
|
}
|
|
}
|
|
|
|
unsigned vertex(double* x, double* y)
|
|
{
|
|
if(m_approximation_method == curve_inc)
|
|
{
|
|
return m_curve_inc.vertex(x, y);
|
|
}
|
|
return m_curve_div.vertex(x, y);
|
|
}
|
|
|
|
private:
|
|
curve4_inc m_curve_inc;
|
|
curve4_div m_curve_div;
|
|
curve_approximation_method_e m_approximation_method;
|
|
};
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
#endif
|