agg/examples/bezier_div.cpp

573 lines
21 KiB
C++

#include <math.h>
#include <stdio.h>
#include <time.h>
#include "agg_rendering_buffer.h"
#include "agg_conv_transform.h"
#include "agg_conv_stroke.h"
#include "agg_conv_dash.h"
#include "agg_scanline_u.h"
#include "agg_renderer_scanline.h"
#include "agg_rasterizer_outline_aa.h"
#include "agg_rasterizer_scanline_aa.h"
#include "agg_pattern_filters_rgba.h"
#include "agg_renderer_outline_aa.h"
#include "agg_renderer_outline_image.h"
#include "agg_arc.h"
#include "agg_bezier_arc.h"
#include "agg_pixfmt_rgb.h"
#include "ctrl/agg_slider_ctrl.h"
#include "ctrl/agg_bezier_ctrl.h"
#include "ctrl/agg_rbox_ctrl.h"
#include "ctrl/agg_cbox_ctrl.h"
#include "platform/agg_platform_support.h"
//#define AGG_GRAY8
//#define AGG_GRAY32
#define AGG_BGR24
//#define AGG_BGR96
//#define AGG_BGRA32
//#define AGG_BGRA128
#include "pixel_formats.h"
enum flip_y_e { flip_y = true };
void bezier4_point(double x1, double y1, double x2, double y2,
double x3, double y3, double x4, double y4,
double mu,
double* x, double* y)
{
double mum1, mum13, mu3;
mum1 = 1 - mu;
mum13 = mum1 * mum1 * mum1;
mu3 = mu * mu * mu;
*x = mum13*x1 + 3*mu*mum1*mum1*x2 + 3*mu*mu*mum1*x3 + mu3*x4;
*y = mum13*y1 + 3*mu*mum1*mum1*y2 + 3*mu*mu*mum1*y3 + mu3*y4;
}
class the_application : public agg::platform_support
{
agg::srgba8 m_ctrl_color;
agg::bezier_ctrl<color_type> m_curve1;
agg::slider_ctrl<color_type> m_angle_tolerance;
agg::slider_ctrl<color_type> m_approximation_scale;
agg::slider_ctrl<color_type> m_cusp_limit;
agg::slider_ctrl<color_type> m_width;
agg::cbox_ctrl<color_type> m_show_points;
agg::cbox_ctrl<color_type> m_show_outline;
agg::rbox_ctrl<color_type> m_curve_type;
agg::rbox_ctrl<color_type> m_case_type;
agg::rbox_ctrl<color_type> m_inner_join;
agg::rbox_ctrl<color_type> m_line_join;
agg::rbox_ctrl<color_type> m_line_cap;
int m_cur_case_type;
public:
typedef agg::renderer_base<pixfmt> renderer_base;
typedef agg::renderer_scanline_aa_solid<renderer_base> renderer_scanline;
typedef agg::rasterizer_scanline_aa<> rasterizer_scanline;
typedef agg::scanline_u8 scanline;
the_application(agg::pix_format_e format, bool flip_y) :
agg::platform_support(format, flip_y),
m_ctrl_color(agg::rgba(0, 0.3, 0.5, 0.8)),
m_angle_tolerance (5.0, 5.0, 240.0, 12.0, !flip_y),
m_approximation_scale(5.0, 17+5.0, 240.0, 17+12.0, !flip_y),
m_cusp_limit (5.0, 17+17+5.0, 240.0, 17+17+12.0, !flip_y),
m_width (245.0, 5.0, 495.0, 12.0, !flip_y),
m_show_points (250.0, 15+5, "Show Points", !flip_y),
m_show_outline (250.0, 30+5, "Show Stroke Outline", !flip_y),
m_curve_type (535.0, 5.0, 535.0+115.0, 55.0, !flip_y),
m_case_type (535.0, 60.0, 535.0+115.0, 195.0, !flip_y),
m_inner_join (535.0, 200.0, 535.0+115.0, 290.0, !flip_y),
m_line_join (535.0, 295.0, 535.0+115.0, 385.0, !flip_y),
m_line_cap (535.0, 395.0, 535.0+115.0, 455.0, !flip_y),
m_cur_case_type(-1)
{
m_curve1.line_color(m_ctrl_color);
m_curve1.curve(170, 424, 13, 87, 488, 423, 26, 333);
//m_curve1.curve(26.000, 333.000, 276.000, 126.000, 402.000, 479.000, 26.000, 333.000); // Loop with p1==p4
//m_curve1.curve(378.000, 439.000, 378.000, 497.000, 487.000, 432.000, 14.000, 338.000); // Narrow loop
//m_curve1.curve(288.000, 283.000, 232.000, 89.000, 66.000, 197.000, 456.000, 241.000); // Loop
//m_curve1.curve(519.000, 142.000, 97.000, 147.000, 69.000, 147.000, 30.000, 144.000); // Almost straight
//m_curve1.curve(100, 100, 200, 100, 100, 200, 200, 200); // A "Z" case
//m_curve1.curve(150, 150, 350, 150, 150, 150, 350, 150); // Degenerate
//m_curve1.curve(409, 330, 300, 200, 200, 200, 401, 263); // Strange cusp
//m_curve1.curve(129, 233, 172, 320, 414, 253, 344, 236); // Curve cap
//m_curve1.curve(100,100, 100,200, 100,100, 110,100); // A "boot"
//m_curve1.curve(225, 150, 60, 150, 460, 150, 295, 150); // 2----1----4----3
//m_curve1.curve(162.2, 248.801, 162.2, 248.801, 266, 284, 394, 335); // Coinciding 1-2
//m_curve1.curve(162.200, 248.801, 162.200, 248.801, 257.000, 301.000, 394.000, 335.000); // Coinciding 1-2
//m_curve1.curve(394.000, 335.000, 257.000, 301.000, 162.200, 248.801, 162.200, 248.801); // Coinciding 3-4
//m_curve1.curve(84.200000,302.80100, 84.200000,302.80100, 79.000000,292.40100, 97.001000,304.40100); // From tiger.svg
//m_curve1.curve(97.001000,304.40100, 79.000000,292.40100, 84.200000,302.80100, 84.200000,302.80100); // From tiger.svg opposite dir
//m_curve1.curve(475, 157, 200, 100, 453, 100, 222, 157); // Cusp, failure for Adobe SVG
add_ctrl(m_curve1);
m_curve1.no_transform();
m_angle_tolerance.label("Angle Tolerance=%.0f deg");
m_angle_tolerance.range(0, 90);
m_angle_tolerance.value(15);
add_ctrl(m_angle_tolerance);
m_angle_tolerance.no_transform();
m_approximation_scale.label("Approximation Scale=%.3f");
m_approximation_scale.range(0.1, 5);
m_approximation_scale.value(1.0);
add_ctrl(m_approximation_scale);
m_approximation_scale.no_transform();
m_cusp_limit.label("Cusp Limit=%.0f deg");
m_cusp_limit.range(0, 90);
m_cusp_limit.value(0);
add_ctrl(m_cusp_limit);
m_cusp_limit.no_transform();
m_width.label("Width=%.2f");
m_width.range(-50, 100);
m_width.value(50.0);
add_ctrl(m_width);
m_width.no_transform();
add_ctrl(m_show_points);
m_show_points.no_transform();
m_show_points.status(true);
add_ctrl(m_show_outline);
m_show_outline.no_transform();
m_show_outline.status(true);
m_curve_type.add_item("Incremental");
m_curve_type.add_item("Subdiv");
m_curve_type.cur_item(1);
add_ctrl(m_curve_type);
m_curve_type.no_transform();
m_case_type.text_size(7);
m_case_type.text_thickness(1.0);
m_case_type.add_item("Random");
m_case_type.add_item("13---24");
m_case_type.add_item("Smooth Cusp 1");
m_case_type.add_item("Smooth Cusp 2");
m_case_type.add_item("Real Cusp 1");
m_case_type.add_item("Real Cusp 2");
m_case_type.add_item("Fancy Stroke");
m_case_type.add_item("Jaw");
m_case_type.add_item("Ugly Jaw");
add_ctrl(m_case_type);
m_case_type.no_transform();
m_inner_join.text_size(8);
m_inner_join.add_item("Inner Bevel");
m_inner_join.add_item("Inner Miter");
m_inner_join.add_item("Inner Jag");
m_inner_join.add_item("Inner Round");
m_inner_join.cur_item(3);
add_ctrl(m_inner_join);
m_inner_join.no_transform();
m_line_join.text_size(8);
m_line_join.add_item("Miter Join");
m_line_join.add_item("Miter Revert");
m_line_join.add_item("Round Join");
m_line_join.add_item("Bevel Join");
m_line_join.add_item("Miter Round");
m_line_join.cur_item(1);
add_ctrl(m_line_join);
m_line_join.no_transform();
m_line_cap.text_size(8);
m_line_cap.add_item("Butt Cap");
m_line_cap.add_item("Square Cap");
m_line_cap.add_item("Round Cap");
m_line_cap.cur_item(0);
add_ctrl(m_line_cap);
m_line_cap.no_transform();
}
template<class Curve> double measure_time(Curve& curve)
{
start_timer();
for(int i = 0; i < 100; i++)
{
double x, y;
curve.init(m_curve1.x1(), m_curve1.y1(),
m_curve1.x2(), m_curve1.y2(),
m_curve1.x3(), m_curve1.y3(),
m_curve1.x4(), m_curve1.y4());
curve.rewind(0);
while(!agg::is_stop(curve.vertex(&x, &y)));
}
return elapsed_time() * 10;
}
template<class Path>
bool find_point(const Path& path, double dist, unsigned* i, unsigned* j)
{
int k;
*j = path.size() - 1;
for(*i = 0; (*j - *i) > 1; )
{
if(dist < path[k = (*i + *j) >> 1].dist) *j = k;
else *i = k;
}
return true;
}
struct curve_point
{
curve_point() {}
curve_point(double x1, double y1, double mu1) : x(x1), y(y1), mu(mu1) {}
double x, y, dist, mu;
};
template<class Curve> double calc_max_error(Curve& curve, double scale,
double* max_angle_error)
{
curve.approximation_scale(m_approximation_scale.value() * scale);
curve.init(m_curve1.x1(), m_curve1.y1(),
m_curve1.x2(), m_curve1.y2(),
m_curve1.x3(), m_curve1.y3(),
m_curve1.x4(), m_curve1.y4());
agg::pod_bvector<agg::vertex_dist, 8> curve_points;
unsigned cmd;
double x, y;
curve.rewind(0);
while(!agg::is_stop(cmd = curve.vertex(&x, &y)))
{
if(agg::is_vertex(cmd))
{
curve_points.add(agg::vertex_dist(x, y));
}
}
unsigned i;
double curve_dist = 0;
for(i = 1; i < curve_points.size(); i++)
{
curve_points[i - 1].dist = curve_dist;
curve_dist += agg::calc_distance(curve_points[i-1].x, curve_points[i-1].y,
curve_points[i].x, curve_points[i].y);
}
curve_points[curve_points.size() - 1].dist = curve_dist;
agg::pod_bvector<curve_point, 8> reference_points;
for(i = 0; i < 4096; i++)
{
double mu = i / 4095.0;
bezier4_point(m_curve1.x1(), m_curve1.y1(),
m_curve1.x2(), m_curve1.y2(),
m_curve1.x3(), m_curve1.y3(),
m_curve1.x4(), m_curve1.y4(),
mu, &x, &y);
reference_points.add(curve_point(x, y, mu));
}
double reference_dist = 0;
for(i = 1; i < reference_points.size(); i++)
{
reference_points[i - 1].dist = reference_dist;
reference_dist += agg::calc_distance(reference_points[i-1].x, reference_points[i-1].y,
reference_points[i].x, reference_points[i].y);
}
reference_points[reference_points.size() - 1].dist = reference_dist;
unsigned idx1 = 0;
unsigned idx2 = 1;
double max_error = 0;
for(i = 0; i < reference_points.size(); i++)
{
if(find_point(curve_points, reference_points[i].dist, &idx1, &idx2))
{
double err = fabs(agg::calc_line_point_distance(curve_points[idx1].x, curve_points[idx1].y,
curve_points[idx2].x, curve_points[idx2].y,
reference_points[i].x, reference_points[i].y));
if(err > max_error) max_error = err;
}
}
double aerr = 0;
for(i = 2; i < curve_points.size(); i++)
{
double a1 = atan2(curve_points[i-1].y - curve_points[i-2].y,
curve_points[i-1].x - curve_points[i-2].x);
double a2 = atan2(curve_points[i].y - curve_points[i-1].y,
curve_points[i].x - curve_points[i-1].x);
double da = fabs(a1 - a2);
if(da >= agg::pi) da = 2*agg::pi - da;
if(da > aerr) aerr = da;
}
*max_angle_error = aerr * 180.0 / agg::pi;
return max_error * scale;
}
virtual void on_draw()
{
pixfmt pf(rbuf_window());
renderer_base ren_base(pf);
ren_base.clear(agg::rgba(1.0, 1.0, 0.95));
renderer_scanline ren(ren_base);
rasterizer_scanline ras;
scanline sl;
agg::path_storage path;
double x, y;
double curve_time = 0;
path.remove_all();
agg::curve4 curve;
curve.approximation_method(agg::curve_approximation_method_e(m_curve_type.cur_item()));
curve.approximation_scale(m_approximation_scale.value());
curve.angle_tolerance(agg::deg2rad(m_angle_tolerance.value()));
curve.cusp_limit(agg::deg2rad(m_cusp_limit.value()));
curve_time = measure_time(curve);
double max_angle_error_01 = 0;
double max_angle_error_1 = 0;
double max_angle_error1 = 0;
double max_angle_error_10 = 0;
double max_angle_error_100 = 0;
double max_error_01 = 0;
double max_error_1 = 0;
double max_error1 = 0;
double max_error_10 = 0;
double max_error_100 = 0;
max_error_01 = calc_max_error(curve, 0.01, &max_angle_error_01);
max_error_1 = calc_max_error(curve, 0.1, &max_angle_error_1);
max_error1 = calc_max_error(curve, 1, &max_angle_error1);
max_error_10 = calc_max_error(curve, 10, &max_angle_error_10);
max_error_100 = calc_max_error(curve, 100, &max_angle_error_100);
curve.approximation_scale(m_approximation_scale.value());
curve.angle_tolerance(agg::deg2rad(m_angle_tolerance.value()));
curve.cusp_limit(agg::deg2rad(m_cusp_limit.value()));
curve.init(m_curve1.x1(), m_curve1.y1(),
m_curve1.x2(), m_curve1.y2(),
m_curve1.x3(), m_curve1.y3(),
m_curve1.x4(), m_curve1.y4());
path.concat_path(curve);
//path.move_to(m_curve1.x1(), m_curve1.y1());
//path.line_to(m_curve1.x2(), m_curve1.y2());
//path.line_to(m_curve1.x3(), m_curve1.y3());
//path.line_to(m_curve1.x4(), m_curve1.y4());
agg::conv_stroke<agg::path_storage> stroke(path);
stroke.width(m_width.value());
stroke.line_join(agg::line_join_e(m_line_join.cur_item()));
stroke.line_cap(agg::line_cap_e(m_line_cap.cur_item()));
stroke.inner_join(agg::inner_join_e(m_inner_join.cur_item()));
stroke.inner_miter_limit(1.01);
ras.add_path(stroke);
ren.color(agg::rgba(0, 0.5, 0, 0.5));
agg::render_scanlines(ras, sl, ren);
unsigned cmd;
unsigned num_points1 = 0;
path.rewind(0);
while(!agg::is_stop(cmd = path.vertex(&x, &y)))
{
if(m_show_points.status())
{
agg::ellipse ell(x, y, 1.5, 1.5, 8);
ras.add_path(ell);
ren.color(agg::rgba(0,0,0, 0.5));
agg::render_scanlines(ras, sl, ren);
}
++num_points1;
}
if(m_show_outline.status())
{
// Draw a stroke of the stroke to see the internals
//--------------
agg::conv_stroke<agg::conv_stroke<agg::path_storage> > stroke2(stroke);
ras.add_path(stroke2);
ren.color(agg::rgba(0,0,0, 0.5));
agg::render_scanlines(ras, sl, ren);
}
// Check ellipse and arc for the number of points
//---------------
//agg::ellipse a(100, 100, m_width.value(), m_width.value(), 0);
//ras.add_path(a);
//ren.color(agg::rgba(0.5,0,0, 0.5));
//agg::render_scanlines(ras, sl, ren);
//a.rewind(0);
//while(!agg::is_stop(cmd = a.vertex(&x, &y)))
//{
// if(agg::is_vertex(cmd))
// {
// agg::ellipse ell(x, y, 1.5, 1.5, 8);
// ras.add_path(ell);
// ren.color(agg::rgba(0,0,0,0.5));
// agg::render_scanlines(ras, sl, ren);
// }
//}
// Check a circle with huge radius (10,000,000) and high approximation accuracy
//---------------
//double circle_pnt_count = 0;
//agg::bezier_arc ell(0,0, 10000000, 10000000, 0, 2*agg::pi);
//agg::conv_curve<agg::bezier_arc, agg::curve3_div, agg::curve4_div3> crv(ell);
//crv.approximation_scale(10.0);
//crv.rewind(0);
//while(crv.vertex(&x, &y)) ++circle_pnt_count;
char buf[512];
agg::gsv_text t;
t.size(8.0);
agg::conv_stroke<agg::gsv_text> pt(t);
pt.line_cap(agg::round_cap);
pt.line_join(agg::round_join);
pt.width(1.5);
sprintf(buf, "Num Points=%d Time=%.2fmks\n\n"
" Dist Error: x0.01=%.5f x0.1=%.5f x1=%.5f x10=%.5f x100=%.5f\n\n"
"Angle Error: x0.01=%.1f x0.1=%.1f x1=%.1f x10=%.1f x100=%.1f",
num_points1, curve_time,
max_error_01,
max_error_1,
max_error1,
max_error_10,
max_error_100,
max_angle_error_01,
max_angle_error_1,
max_angle_error1,
max_angle_error_10,
max_angle_error_100);
t.start_point(10.0, 85.0);
t.text(buf);
ras.add_path(pt);
ren.color(agg::rgba(0,0,0));
agg::render_scanlines(ras, sl, ren);
agg::render_ctrl(ras, sl, ren_base, m_curve1);
agg::render_ctrl(ras, sl, ren_base, m_angle_tolerance);
agg::render_ctrl(ras, sl, ren_base, m_approximation_scale);
agg::render_ctrl(ras, sl, ren_base, m_cusp_limit);
agg::render_ctrl(ras, sl, ren_base, m_width);
agg::render_ctrl(ras, sl, ren_base, m_show_points);
agg::render_ctrl(ras, sl, ren_base, m_show_outline);
agg::render_ctrl(ras, sl, ren_base, m_curve_type);
agg::render_ctrl(ras, sl, ren_base, m_case_type);
agg::render_ctrl(ras, sl, ren_base, m_inner_join);
agg::render_ctrl(ras, sl, ren_base, m_line_join);
agg::render_ctrl(ras, sl, ren_base, m_line_cap);
}
virtual void on_key(int x, int y, unsigned key, unsigned flags)
{
if(key == ' ')
{
FILE* fd = fopen(full_file_name("coord"), "w");
fprintf(fd, "%.3f, %.3f, %.3f, %.3f, %.3f, %.3f, %.3f, %.3f",
m_curve1.x1(), m_curve1.y1(),
m_curve1.x2(), m_curve1.y2(),
m_curve1.x3(), m_curve1.y3(),
m_curve1.x4(), m_curve1.y4());
fclose(fd);
}
}
virtual void on_ctrl_change()
{
if(m_case_type.cur_item() != m_cur_case_type)
{
switch(m_case_type.cur_item())
{
case 0: //m_case_type.add_item("Random");
{
int w = int(width() - 120);
int h = int(height() - 80);
m_curve1.curve(rand() % w, rand() % h + 80, rand() % w, rand() % h + 80,
rand() % w, rand() % h + 80, rand() % w, rand() % h + 80);
}
break;
case 1: //m_case_type.add_item("13---24");
m_curve1.curve(150, 150, 350, 150, 150, 150, 350, 150);
//m_curve1.curve(252, 227, 16, 227, 506, 227, 285, 227);
//m_curve1.curve(252, 227, 16, 227, 387, 227, 285, 227);
break;
case 2: //m_case_type.add_item("Smooth Cusp 1");
m_curve1.curve(50, 142, 483, 251, 496, 62, 26, 333);
break;
case 3: //m_case_type.add_item("Smooth Cusp 2");
m_curve1.curve(50, 142, 484, 251, 496, 62, 26, 333);
break;
case 4: //m_case_type.add_item("Real Cusp 1");
m_curve1.curve(100, 100, 300, 200, 200, 200, 200, 100);
break;
case 5: //m_case_type.add_item("Real Cusp 2");
m_curve1.curve(475, 157, 200, 100, 453, 100, 222, 157);
break;
case 6: //m_case_type.add_item("Fancy Stroke");
m_curve1.curve(129, 233, 32, 283, 258, 285, 159, 232);
m_width.value(100);
break;
case 7: //m_case_type.add_item("Jaw");
m_curve1.curve(100, 100, 300, 200, 264, 286, 264, 284);
break;
case 8: //m_case_type.add_item("Ugly Jaw");
m_curve1.curve(100, 100, 413, 304, 264, 286, 264, 284);
break;
}
force_redraw();
m_cur_case_type = m_case_type.cur_item();
}
}
};
int agg_main(int argc, char* argv[])
{
the_application app(pix_format, flip_y);
app.caption("AGG Example");
if(app.init(655, 520, agg::window_resize))
{
return app.run();
}
return 1;
}