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-rwxr-xr-xagg/source/agg_curves.cpp246
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diff --git a/agg/source/agg_curves.cpp b/agg/source/agg_curves.cpp
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+//----------------------------------------------------------------------------
+// Anti-Grain Geometry - Version 2.3
+// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
+//
+// Permission to copy, use, modify, sell and distribute this software
+// is granted provided this copyright notice appears in all copies.
+// This software is provided "as is" without express or implied
+// warranty, and with no claim as to its suitability for any purpose.
+//
+//----------------------------------------------------------------------------
+// Contact: mcseem@antigrain.com
+// mcseemagg@yahoo.com
+// http://www.antigrain.com
+//----------------------------------------------------------------------------
+//
+// classes curve3 and curve4
+//
+//----------------------------------------------------------------------------
+
+#include <math.h>
+#include "agg_curves.h"
+
+namespace agg
+{
+
+ //------------------------------------------------------------------------
+ void curve3::init(double x1, double y1,
+ double x2, double y2,
+ double x3, double y3)
+ {
+ m_start_x = x1;
+ m_start_y = y1;
+ m_end_x = x3;
+ m_end_y = y3;
+
+ double dx1 = x2 - x1;
+ double dy1 = y2 - y1;
+ double dx2 = x3 - x2;
+ double dy2 = y3 - y2;
+
+ double len = sqrt(dx1 * dx1 + dy1 * dy1) + sqrt(dx2 * dx2 + dy2 * dy2);
+
+ m_num_steps = int(len * 0.25 * m_scale);
+
+ if(m_num_steps < 2)
+ {
+ m_num_steps = 2;
+ }
+
+ double subdivide_step = 1.0 / m_num_steps;
+ double subdivide_step2 = subdivide_step * subdivide_step;
+
+ double tmpx = (x1 - x2 * 2.0 + x3) * subdivide_step2;
+ double tmpy = (y1 - y2 * 2.0 + y3) * subdivide_step2;
+
+ m_saved_fx = m_fx = x1;
+ m_saved_fy = m_fy = y1;
+
+ m_saved_dfx = m_dfx = tmpx + (x2 - x1) * (2.0 * subdivide_step);
+ m_saved_dfy = m_dfy = tmpy + (y2 - y1) * (2.0 * subdivide_step);
+
+ m_ddfx = tmpx * 2.0;
+ m_ddfy = tmpy * 2.0;
+
+ m_step = m_num_steps;
+ }
+
+
+
+
+ //------------------------------------------------------------------------
+ void curve3::rewind(unsigned)
+ {
+ if(m_num_steps == 0)
+ {
+ m_step = -1;
+ return;
+ }
+ m_step = m_num_steps;
+ m_fx = m_saved_fx;
+ m_fy = m_saved_fy;
+ m_dfx = m_saved_dfx;
+ m_dfy = m_saved_dfy;
+ }
+
+
+
+
+ //------------------------------------------------------------------------
+ unsigned curve3::vertex(double* x, double* y)
+ {
+ if(m_step < 0) return path_cmd_stop;
+ if(m_step == m_num_steps)
+ {
+ *x = m_start_x;
+ *y = m_start_y;
+ --m_step;
+ return path_cmd_move_to;
+ }
+ if(m_step == 0)
+ {
+ *x = m_end_x;
+ *y = m_end_y;
+ --m_step;
+ return path_cmd_line_to;
+ }
+ m_fx += m_dfx;
+ m_fy += m_dfy;
+ m_dfx += m_ddfx;
+ m_dfy += m_ddfy;
+ *x = m_fx;
+ *y = m_fy;
+ --m_step;
+ return path_cmd_line_to;
+ }
+
+
+
+
+
+
+
+
+
+
+
+
+
+ //------------------------------------------------------------------------
+ void curve4::init(double x1, double y1,
+ double x2, double y2,
+ double x3, double y3,
+ double x4, double y4)
+ {
+ m_start_x = x1;
+ m_start_y = y1;
+ m_end_x = x4;
+ m_end_y = y4;
+
+ double dx1 = x2 - x1;
+ double dy1 = y2 - y1;
+ double dx2 = x3 - x2;
+ double dy2 = y3 - y2;
+ double dx3 = x4 - x3;
+ double dy3 = y4 - y3;
+
+ double len = sqrt(dx1 * dx1 + dy1 * dy1) +
+ sqrt(dx2 * dx2 + dy2 * dy2) +
+ sqrt(dx3 * dx3 + dy3 * dy3);
+
+ m_num_steps = int(len * 0.25 * m_scale);
+
+ if(m_num_steps < 2)
+ {
+ m_num_steps = 2;
+ }
+
+ double subdivide_step = 1.0 / m_num_steps;
+ double subdivide_step2 = subdivide_step * subdivide_step;
+ double subdivide_step3 = subdivide_step * subdivide_step * subdivide_step;
+
+ double pre1 = 3.0 * subdivide_step;
+ double pre2 = 3.0 * subdivide_step2;
+ double pre4 = 6.0 * subdivide_step2;
+ double pre5 = 6.0 * subdivide_step3;
+
+ double tmp1x = x1 - x2 * 2.0 + x3;
+ double tmp1y = y1 - y2 * 2.0 + y3;
+
+ double tmp2x = (x2 - x3) * 3.0 - x1 + x4;
+ double tmp2y = (y2 - y3) * 3.0 - y1 + y4;
+
+ m_saved_fx = m_fx = x1;
+ m_saved_fy = m_fy = y1;
+
+ m_saved_dfx = m_dfx = (x2 - x1) * pre1 + tmp1x * pre2 + tmp2x * subdivide_step3;
+ m_saved_dfy = m_dfy = (y2 - y1) * pre1 + tmp1y * pre2 + tmp2y * subdivide_step3;
+
+ m_saved_ddfx = m_ddfx = tmp1x * pre4 + tmp2x * pre5;
+ m_saved_ddfy = m_ddfy = tmp1y * pre4 + tmp2y * pre5;
+
+ m_dddfx = tmp2x * pre5;
+ m_dddfy = tmp2y * pre5;
+
+ m_step = m_num_steps;
+ }
+
+
+
+
+ //------------------------------------------------------------------------
+ void curve4::rewind(unsigned)
+ {
+ if(m_num_steps == 0)
+ {
+ m_step = -1;
+ return;
+ }
+ m_step = m_num_steps;
+ m_fx = m_saved_fx;
+ m_fy = m_saved_fy;
+ m_dfx = m_saved_dfx;
+ m_dfy = m_saved_dfy;
+ m_ddfx = m_saved_ddfx;
+ m_ddfy = m_saved_ddfy;
+ }
+
+
+
+
+
+ //------------------------------------------------------------------------
+ unsigned curve4::vertex(double* x, double* y)
+ {
+ if(m_step < 0) return path_cmd_stop;
+ if(m_step == m_num_steps)
+ {
+ *x = m_start_x;
+ *y = m_start_y;
+ --m_step;
+ return path_cmd_move_to;
+ }
+ if(m_step == 0)
+ {
+ *x = m_end_x;
+ *y = m_end_y;
+ --m_step;
+ return path_cmd_line_to;
+ }
+ m_fx += m_dfx;
+ m_fy += m_dfy;
+ m_dfx += m_ddfx;
+ m_dfy += m_ddfy;
+ m_ddfx += m_dddfx;
+ m_ddfy += m_dddfy;
+ *x = m_fx;
+ *y = m_fy;
+ --m_step;
+ return path_cmd_line_to;
+ }
+
+
+
+
+}
+