//------------------------------------------------------------------------
void bezier_arc::init(double x, double y,
double rx, double ry,
double start_angle,
double sweep_angle)
{
start_angle = fmod(start_angle, 2.0 * pi);
if(sweep_angle >= 2.0 * pi) sweep_angle = 2.0 * pi;
if(sweep_angle <= -2.0 * pi) sweep_angle = -2.0 * pi;
double total_sweep = 0.0;
double local_sweep = 0.0;
double prev_sweep;
m_num_vertices = 2;
bool done = false;
do
{
if(sweep_angle < 0.0)
{
prev_sweep = total_sweep;
local_sweep = -pi * 0.5;
total_sweep -= pi * 0.5;
if(total_sweep <= sweep_angle + bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
else
{
prev_sweep = total_sweep;
local_sweep = pi * 0.5;
total_sweep += pi * 0.5;
if(total_sweep >= sweep_angle - bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
arc_to_bezier(x, y, rx, ry,
start_angle,
local_sweep,
m_vertices + m_num_vertices - 2);
m_num_vertices += 6;
start_angle += local_sweep;
}
while(!done && m_num_vertices < 26);
}
//------------------------------------------------------------------------
void bezier_arc::init(real x, real y,
real rx, real ry,
real start_angle,
real sweep_angle)
{
start_angle = FMOD(start_angle, 2.0f * pi);
if(sweep_angle >= 2.0f * pi) sweep_angle = 2.0f * pi;
if(sweep_angle <= -2.0f * pi) sweep_angle = -2.0f * pi;
if(FABS(sweep_angle) < 1e-10)
{
m_num_vertices = 4;
m_cmd = path_cmd_line_to;
m_vertices[0] = x + rx * (real)cos(start_angle);
m_vertices[1] = y + ry * (real)sin(start_angle);
m_vertices[2] = x + rx * (real)cos(start_angle + sweep_angle);
m_vertices[3] = y + ry * (real)sin(start_angle + sweep_angle);
return;
}
real total_sweep = 0.0f;
real local_sweep = 0.0f;
real prev_sweep;
m_num_vertices = 2;
m_cmd = path_cmd_curve4;
bool done = false;
do
{
if(sweep_angle < 0.0f)
{
prev_sweep = total_sweep;
local_sweep = -pi * 0.5f;
total_sweep -= pi * 0.5f;
if(total_sweep <= sweep_angle + bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
else
{
prev_sweep = total_sweep;
local_sweep = pi * 0.5f;
total_sweep += pi * 0.5f;
if(total_sweep >= sweep_angle - bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
arc_to_bezier(x, y, rx, ry,
start_angle,
local_sweep,
m_vertices + m_num_vertices - 2);
m_num_vertices += 6;
start_angle += local_sweep;
}
while(!done && m_num_vertices < 26);
}
//------------------------------------------------------------------------
void bezier_arc::init(double x, double y,
double rx, double ry,
double start_angle,
double sweep_angle)
{
start_angle = fmod(start_angle, 2.0 * pi);
if(sweep_angle >= 2.0 * pi) sweep_angle = 2.0 * pi;
if(sweep_angle <= -2.0 * pi) sweep_angle = -2.0 * pi;
if(fabs(sweep_angle) < 1e-10)
{
m_num_vertices = 4;
m_cmd = path_cmd_line_to;
m_vertices[0] = x + rx * cos(start_angle);
m_vertices[1] = y + ry * sin(start_angle);
m_vertices[2] = x + rx * cos(start_angle + sweep_angle);
m_vertices[3] = y + ry * sin(start_angle + sweep_angle);
return;
}
double total_sweep = 0.0;
double local_sweep = 0.0;
double prev_sweep;
m_num_vertices = 2;
m_cmd = path_cmd_curve4;
bool done = false;
do
{
if(sweep_angle < 0.0)
{
prev_sweep = total_sweep;
local_sweep = -pi * 0.5;
total_sweep -= pi * 0.5;
if(total_sweep <= sweep_angle + bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
else
{
prev_sweep = total_sweep;
local_sweep = pi * 0.5;
total_sweep += pi * 0.5;
if(total_sweep >= sweep_angle - bezier_arc_angle_epsilon)
{
local_sweep = sweep_angle - prev_sweep;
done = true;
}
}
arc_to_bezier(x, y, rx, ry,
start_angle,
local_sweep,
m_vertices + m_num_vertices - 2);
m_num_vertices += 6;
start_angle += local_sweep;
}
while(!done && m_num_vertices < 26);
}