📄 agg_math_stroke.h
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//-----------------
add_vertex(vc, v1.x + dx1, v1.y - dy1);
miter_limit_exceeded = false;
}
}
if(miter_limit_exceeded)
{
// Miter limit exceeded
//------------------------
switch(lj)
{
case miter_join_revert:
// For the compatibility with SVG, PDF, etc,
// we use a simple bevel join instead of
// "smart" bevel
//-------------------
add_vertex(vc, v1.x + dx1, v1.y - dy1);
add_vertex(vc, v1.x + dx2, v1.y - dy2);
break;
case miter_join_round:
calc_arc(vc, v1.x, v1.y, dx1, -dy1, dx2, -dy2);
break;
default:
// If no miter-revert, calculate new dx1, dy1, dx2, dy2
//----------------
if(intersection_failed)
{
mlimit *= m_width_sign;
add_vertex(vc, v1.x + dx1 + dy1 * mlimit,
v1.y - dy1 + dx1 * mlimit);
add_vertex(vc, v1.x + dx2 - dy2 * mlimit,
v1.y - dy2 - dx2 * mlimit);
}
else
{
double x1 = v1.x + dx1;
double y1 = v1.y - dy1;
double x2 = v1.x + dx2;
double y2 = v1.y - dy2;
di = (lim - dbevel) / (di - dbevel);
add_vertex(vc, x1 + (xi - x1) * di,
y1 + (yi - y1) * di);
add_vertex(vc, x2 + (xi - x2) * di,
y2 + (yi - y2) * di);
}
break;
}
}
}
//--------------------------------------------------------stroke_calc_cap
template<class VC>
void math_stroke<VC>::calc_cap(VC& vc,
const vertex_dist& v0,
const vertex_dist& v1,
double len)
{
vc.remove_all();
double dx1 = (v1.y - v0.y) / len;
double dy1 = (v1.x - v0.x) / len;
double dx2 = 0;
double dy2 = 0;
dx1 *= m_width;
dy1 *= m_width;
if(m_line_cap != round_cap)
{
if(m_line_cap == square_cap)
{
dx2 = dy1 * m_width_sign;
dy2 = dx1 * m_width_sign;
}
add_vertex(vc, v0.x - dx1 - dx2, v0.y + dy1 - dy2);
add_vertex(vc, v0.x + dx1 - dx2, v0.y - dy1 - dy2);
}
else
{
double da = acos(m_width_abs / (m_width_abs + 0.125 / m_approx_scale)) * 2;
double a1;
int i;
int n = int(pi / da);
da = pi / (n + 1);
add_vertex(vc, v0.x - dx1, v0.y + dy1);
if(m_width_sign > 0)
{
a1 = atan2(dy1, -dx1);
a1 += da;
for(i = 0; i < n; i++)
{
add_vertex(vc, v0.x + cos(a1) * m_width,
v0.y + sin(a1) * m_width);
a1 += da;
}
}
else
{
a1 = atan2(-dy1, dx1);
a1 -= da;
for(i = 0; i < n; i++)
{
add_vertex(vc, v0.x + cos(a1) * m_width,
v0.y + sin(a1) * m_width);
a1 -= da;
}
}
add_vertex(vc, v0.x + dx1, v0.y - dy1);
}
}
//-----------------------------------------------------------------------
template<class VC>
void math_stroke<VC>::calc_join(VC& vc,
const vertex_dist& v0,
const vertex_dist& v1,
const vertex_dist& v2,
double len1,
double len2)
{
double dx1 = m_width * (v1.y - v0.y) / len1;
double dy1 = m_width * (v1.x - v0.x) / len1;
double dx2 = m_width * (v2.y - v1.y) / len2;
double dy2 = m_width * (v2.x - v1.x) / len2;
vc.remove_all();
double cp = cross_product(v0.x, v0.y, v1.x, v1.y, v2.x, v2.y);
if(cp != 0 && (cp > 0) == (m_width > 0))
{
// Inner join
//---------------
double limit = ((len1 < len2) ? len1 : len2) / m_width_abs;
if(limit < m_inner_miter_limit)
{
limit = m_inner_miter_limit;
}
switch(m_inner_join)
{
default: // inner_bevel
add_vertex(vc, v1.x + dx1, v1.y - dy1);
add_vertex(vc, v1.x + dx2, v1.y - dy2);
break;
case inner_miter:
calc_miter(vc,
v0, v1, v2, dx1, dy1, dx2, dy2,
miter_join_revert,
limit, 0);
break;
case inner_jag:
case inner_round:
cp = (dx1-dx2) * (dx1-dx2) + (dy1-dy2) * (dy1-dy2);
if(cp < len1 * len1 && cp < len2 * len2)
{
calc_miter(vc,
v0, v1, v2, dx1, dy1, dx2, dy2,
miter_join_revert,
limit, 0);
}
else
{
if(m_inner_join == inner_jag)
{
add_vertex(vc, v1.x + dx1, v1.y - dy1);
add_vertex(vc, v1.x, v1.y );
add_vertex(vc, v1.x + dx2, v1.y - dy2);
}
else
{
add_vertex(vc, v1.x + dx1, v1.y - dy1);
add_vertex(vc, v1.x, v1.y );
calc_arc(vc, v1.x, v1.y, dx2, -dy2, dx1, -dy1);
add_vertex(vc, v1.x, v1.y );
add_vertex(vc, v1.x + dx2, v1.y - dy2);
}
}
break;
}
}
else
{
// Outer join
//---------------
// Calculate the distance between v1 and
// the central point of the bevel line segment
//---------------
double dx = (dx1 + dx2) / 2;
double dy = (dy1 + dy2) / 2;
double dbevel = sqrt(dx * dx + dy * dy);
if(m_line_join == round_join || m_line_join == bevel_join)
{
// This is an optimization that reduces the number of points
// in cases of almost collinear segments. If there's no
// visible difference between bevel and miter joins we'd rather
// use miter join because it adds only one point instead of two.
//
// Here we calculate the middle point between the bevel points
// and then, the distance between v1 and this middle point.
// At outer joins this distance always less than stroke width,
// because it's actually the height of an isosceles triangle of
// v1 and its two bevel points. If the difference between this
// width and this value is small (no visible bevel) we can
// add just one point.
//
// The constant in the expression makes the result approximately
// the same as in round joins and caps. You can safely comment
// out this entire "if".
//-------------------
if(m_approx_scale * (m_width_abs - dbevel) < m_width_eps)
{
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,
&dx, &dy))
{
add_vertex(vc, dx, dy);
}
else
{
add_vertex(vc, v1.x + dx1, v1.y - dy1);
}
return;
}
}
switch(m_line_join)
{
case miter_join:
case miter_join_revert:
case miter_join_round:
calc_miter(vc,
v0, v1, v2, dx1, dy1, dx2, dy2,
m_line_join,
m_miter_limit,
dbevel);
break;
case round_join:
calc_arc(vc, v1.x, v1.y, dx1, -dy1, dx2, -dy2);
break;
default: // Bevel join
add_vertex(vc, v1.x + dx1, v1.y - dy1);
add_vertex(vc, v1.x + dx2, v1.y - dy2);
break;
}
}
}
}
#endif
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