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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
//----------------------------------------------------------------------------
//
// Stroke math
//
//----------------------------------------------------------------------------
#ifndef AGG_STROKE_MATH_INCLUDED
#define AGG_STROKE_MATH_INCLUDED
#include "agg_math.h"
#include "agg_vertex_sequence.h"
namespace agg
{
enum line_cap_e {
butt_cap,
square_cap,
round_cap
};
enum line_join_e {
miter_join = 0,
miter_join_revert = 1,
miter_join_round = 4,
round_join = 2,
bevel_join = 3
};
enum inner_join_e {
inner_bevel,
inner_miter,
inner_jag,
inner_round
};
const FX_FLOAT stroke_theta = 1.0f / 1000.0f;
template<class VertexConsumer>
void stroke_calc_arc(VertexConsumer& out_vertices,
FX_FLOAT x, FX_FLOAT y,
FX_FLOAT dx1, FX_FLOAT dy1,
FX_FLOAT dx2, FX_FLOAT dy2,
FX_FLOAT width,
FX_FLOAT approximation_scale)
{
typedef typename VertexConsumer::value_type coord_type;
FX_FLOAT a1 = FXSYS_atan2(dy1, dx1);
FX_FLOAT a2 = FXSYS_atan2(dy2, dx2);
FX_FLOAT da = a1 - a2;
bool ccw = da > 0 && da < FX_PI;
if(width < 0) {
width = -width;
}
da = FXSYS_acos(FXSYS_Div(width, width + FXSYS_Div(1.0f / 8, approximation_scale))) * 2;
out_vertices.add(coord_type(x + dx1, y + dy1));
if(!ccw) {
if(a1 > a2) {
a2 += 2 * FX_PI;
}
a2 -= da / 4;
a1 += da;
while(a1 < a2) {
out_vertices.add(coord_type(x + FXSYS_Mul(width, FXSYS_cos(a1)),
y + FXSYS_Mul(width, FXSYS_sin(a1))));
a1 += da;
}
} else {
if(a1 < a2) {
a2 -= 2 * FX_PI;
}
a2 += da / 4;
a1 -= da;
while(a1 > a2) {
out_vertices.add(coord_type(x + FXSYS_Mul(width, FXSYS_cos(a1)),
y + FXSYS_Mul(width, FXSYS_sin(a1))));
a1 -= da;
}
}
out_vertices.add(coord_type(x + dx2, y + dy2));
}
template<class VertexConsumer>
void stroke_calc_miter(VertexConsumer& out_vertices,
const vertex_dist& v0,
const vertex_dist& v1,
const vertex_dist& v2,
FX_FLOAT dx1, FX_FLOAT dy1,
FX_FLOAT dx2, FX_FLOAT dy2,
FX_FLOAT width,
line_join_e line_join,
FX_FLOAT miter_limit,
FX_FLOAT approximation_scale)
{
typedef typename VertexConsumer::value_type coord_type;
FX_FLOAT xi = v1.x;
FX_FLOAT yi = v1.y;
bool miter_limit_exceeded = true;
if(calc_intersection(v0.x + dx1, v0.y - dy1,
v1.x + dx1, v1.y - dy1,
v1.x + dx2, v1.y - dy2,
v2.x + dx2, v2.y - dy2,
&xi, &yi)) {
FX_FLOAT d1 = calc_distance(v1.x, v1.y, xi, yi);
FX_FLOAT lim = FXSYS_Mul(width, miter_limit);
if(d1 <= lim) {
out_vertices.add(coord_type(xi, yi));
miter_limit_exceeded = false;
}
} else {
FX_FLOAT x2 = v1.x + dx1;
FX_FLOAT y2 = v1.y - dy1;
if((FXSYS_Mul(x2 - v0.x, dy1) - FXSYS_Mul(v0.y - y2, dx1) < 0) !=
(FXSYS_Mul(x2 - v2.x, dy1) - FXSYS_Mul(v2.y - y2, dx1) < 0)) {
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
miter_limit_exceeded = false;
}
}
if(miter_limit_exceeded) {
switch(line_join) {
case miter_join_revert:
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
out_vertices.add(coord_type(v1.x + dx2, v1.y - dy2));
break;
case miter_join_round:
stroke_calc_arc(out_vertices,
v1.x, v1.y, dx1, -dy1, dx2, -dy2,
width, approximation_scale);
break;
default:
out_vertices.add(coord_type(v1.x + dx1 + FXSYS_Mul(dy1, miter_limit),
v1.y - dy1 + FXSYS_Mul(dx1, miter_limit)));
out_vertices.add(coord_type(v1.x + dx2 - FXSYS_Mul(dy2, miter_limit),
v1.y - dy2 - FXSYS_Mul(dx2, miter_limit)));
break;
}
}
}
template<class VertexConsumer>
void stroke_calc_cap(VertexConsumer& out_vertices,
const vertex_dist& v0,
const vertex_dist& v1,
FX_FLOAT len,
line_cap_e line_cap,
FX_FLOAT width,
FX_FLOAT approximation_scale)
{
typedef typename VertexConsumer::value_type coord_type;
out_vertices.remove_all();
FX_FLOAT dx1 = FXSYS_Div(v1.y - v0.y, len);
FX_FLOAT dy1 = FXSYS_Div(v1.x - v0.x, len);
FX_FLOAT dx2 = 0;
FX_FLOAT dy2 = 0;
dx1 = FXSYS_Mul(dx1, width);
dy1 = FXSYS_Mul(dy1, width);
if(line_cap != round_cap) {
if(line_cap == square_cap) {
dx2 = dy1;
dy2 = dx1;
}
out_vertices.add(coord_type(v0.x - dx1 - dx2, v0.y + dy1 - dy2));
out_vertices.add(coord_type(v0.x + dx1 - dx2, v0.y - dy1 - dy2));
} else {
FX_FLOAT a1 = FXSYS_atan2(dy1, -dx1);
FX_FLOAT a2 = a1 + FX_PI;
FX_FLOAT da = FXSYS_acos(FXSYS_Div(width, width +
FXSYS_Div(1.0f / 8, approximation_scale))) * 2;
out_vertices.add(coord_type(v0.x - dx1, v0.y + dy1));
a1 += da;
a2 -= da / 4;
while(a1 < a2) {
out_vertices.add(coord_type(v0.x + FXSYS_Mul(width, FXSYS_cos(a1)),
v0.y + FXSYS_Mul(width, FXSYS_sin(a1))));
a1 += da;
}
out_vertices.add(coord_type(v0.x + dx1, v0.y - dy1));
}
}
template<class VertexConsumer>
void stroke_calc_join(VertexConsumer& out_vertices,
const vertex_dist& v0,
const vertex_dist& v1,
const vertex_dist& v2,
FX_FLOAT len1,
FX_FLOAT len2,
FX_FLOAT width,
line_join_e line_join,
inner_join_e inner_join,
FX_FLOAT miter_limit,
FX_FLOAT inner_miter_limit,
FX_FLOAT approximation_scale)
{
typedef typename VertexConsumer::value_type coord_type;
FX_FLOAT dx1, dy1, dx2, dy2;
dx1 = FXSYS_MulDiv(width, v1.y - v0.y, len1);
dy1 = FXSYS_MulDiv(width, v1.x - v0.x, len1);
dx2 = FXSYS_MulDiv(width, v2.y - v1.y, len2);
dy2 = FXSYS_MulDiv(width, v2.x - v1.x, len2);
out_vertices.remove_all();
if(calc_point_location(v0.x, v0.y, v1.x, v1.y, v2.x, v2.y) > 0) {
switch(inner_join) {
default:
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
out_vertices.add(coord_type(v1.x + dx2, v1.y - dy2));
break;
case inner_miter:
stroke_calc_miter(out_vertices,
v0, v1, v2, dx1, dy1, dx2, dy2,
width,
miter_join_revert,
inner_miter_limit,
1.0f);
break;
case inner_jag:
case inner_round: {
FX_FLOAT d = (dx1 - dx2) * (dx1 - dx2) + (dy1 - dy2) * (dy1 - dy2);
if(d < len1 * len1 && d < len2 * len2) {
stroke_calc_miter(out_vertices,
v0, v1, v2, dx1, dy1, dx2, dy2,
width,
miter_join_revert,
inner_miter_limit,
1.0f);
} else {
if(inner_join == inner_jag) {
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
out_vertices.add(coord_type(v1.x, v1.y ));
out_vertices.add(coord_type(v1.x + dx2, v1.y - dy2));
} else {
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
out_vertices.add(coord_type(v1.x, v1.y ));
stroke_calc_arc(out_vertices,
v1.x, v1.y, dx2, -dy2, dx1, -dy1,
width, approximation_scale);
out_vertices.add(coord_type(v1.x, v1.y ));
out_vertices.add(coord_type(v1.x + dx2, v1.y - dy2));
}
}
}
break;
}
} else {
switch(line_join) {
case miter_join:
case miter_join_revert:
case miter_join_round:
stroke_calc_miter(out_vertices,
v0, v1, v2, dx1, dy1, dx2, dy2,
width,
line_join,
miter_limit,
approximation_scale);
break;
case round_join:
stroke_calc_arc(out_vertices,
v1.x, v1.y, dx1, -dy1, dx2, -dy2,
width, approximation_scale);
break;
default:
out_vertices.add(coord_type(v1.x + dx1, v1.y - dy1));
out_vertices.add(coord_type(v1.x + dx2, v1.y - dy2));
break;
}
}
}
}
#endif
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