Ejemplo n.º 1
0
 void draw(cairo_t *cr, int t) {
     if(t - last_time > path.domain().max()) add_section(random_d2());
     if(t - last_time - length > path.cuts[1]) {
         Piecewise<D2<SBasis> > new_path;
         new_path.push_cut(0);
         for(unsigned i = 1; i < path.size(); i++) {
             new_path.push(path[i], path.cuts[i+1] - path.cuts[1]);
         }
         last_time = t - length;
         path = new_path;
     }
     cairo_set_source_rgb(cr, red, green, blue);
     Piecewise<D2<SBasis> > port = portion(path, std::max(t - last_time - length, 0.), t - last_time);
     cairo_pw_d2_sb(cr, port);
     cairo_stroke(cr);
     
     double d = 4;
     cairo_set_dash(cr, &d, 1, 0);
     for(unsigned i = 1; i < path.size(); i++) {
         if(path[i].at0() != path[i-1].at1()) {
             draw_line_seg(cr, path[i].at0(), path[i-1].at1());
         }
     }
     cairo_stroke(cr);
     cairo_set_dash(cr, &d, 0, 0);
     
     cairo_set_source_rgb(cr, 0., 0., 1.);
     dot_plot(cr, path, std::max(t - last_time - length, 0.), t - last_time);
 }
Ejemplo n.º 2
0
 void add_section(const D2<SBasis> x) {
     Piecewise<D2<SBasis> > new_path(path);
     D2<SBasis> seg(x);
     seg[0][0][0] = path.segs.back()[0][0][1];
     seg[1][0][0] = path.segs.back()[1][0][1];
     new_path.push(seg, path.domain().max()+1);
     path = arc_length_parametrization(new_path);
 }
Ejemplo n.º 3
0
static void plot_graph(cairo_t *cr, Piecewise<SBasis> const &f,
                       double x_scale=300,
                       double y_scale=100){
    //double dt=(M[0].cuts.back()-M[0].cuts.front())/space;
    D2<Piecewise<SBasis> > g;
    g[X] = Piecewise<SBasis>( SBasis(Linear(100+f.cuts.front()*x_scale, 
                                            100+f.cuts.back()*x_scale)));
    g[X].setDomain(f.domain());
    g[Y] = -f*y_scale+400;
    cairo_d2_pw_sb(cr, g);
}
Ejemplo n.º 4
0
/** Compute the sqrt of a function.
 \param f function
*/
Piecewise<SBasis> sqrt(Piecewise<SBasis> const &f, double tol, int order){
    Piecewise<SBasis> result;
    Piecewise<SBasis> zero = Piecewise<SBasis>(Linear(tol*tol));
    zero.setDomain(f.domain());
    Piecewise<SBasis> ff=max(f,zero);

    for (unsigned i=0; i<ff.size(); i++){
        Piecewise<SBasis> sqrtfi = sqrt_internal(ff.segs[i],tol,order);
        sqrtfi.setDomain(Interval(ff.cuts[i],ff.cuts[i+1]));
        result.concat(sqrtfi);
    }
    return result;
}
Ejemplo n.º 5
0
 void tele(int t) {
     Piecewise<D2<SBasis> > new_path(portion(path, 0, t - last_time));
     new_path.push(random_d2(), path.domain().max()+1);
     path = arc_length_parametrization(new_path);
 }
Ejemplo n.º 6
0
Geom::Piecewise<Geom::D2<Geom::SBasis> >
LPERecursiveSkeleton::doEffect_pwd2 (Geom::Piecewise<Geom::D2<Geom::SBasis> > const & pwd2_in)
{
    using namespace Geom;

    Piecewise<D2<SBasis> > output;
    std::vector<Piecewise<D2<SBasis> > > pre_output;

    double prop_scale = 1.0;

    D2<Piecewise<SBasis> > patternd2 = make_cuts_independent(pwd2_in);
    Piecewise<SBasis> x0 = false /*vertical_pattern.get_value()*/ ? Piecewise<SBasis>(patternd2[1]) : Piecewise<SBasis>(patternd2[0]);
    Piecewise<SBasis> y0 = false /*vertical_pattern.get_value()*/ ? Piecewise<SBasis>(patternd2[0]) : Piecewise<SBasis>(patternd2[1]);
    OptInterval pattBndsX = bounds_exact(x0);
    OptInterval pattBndsY = bounds_exact(y0);

    if ( !pattBndsX || !pattBndsY) {
        return pwd2_in;
    }

    x0 -= pattBndsX->min();
    y0 -= pattBndsY->middle();

    double xspace  = 0;//spacing;
    double noffset = 0;//normal_offset;
    double toffset = 0;//tang_offset;
    if (false /*prop_units.get_value()*/){
        xspace  *= pattBndsX->extent();
        noffset *= pattBndsY->extent();
        toffset *= pattBndsX->extent();
    }

    y0+=noffset;

    output = pwd2_in;

    for (int i = 0; i < iterations; ++i) {
        std::vector<Piecewise<D2<SBasis> > > skeleton = split_at_discontinuities(output);

        output.clear();
        for (unsigned idx = 0; idx < skeleton.size(); idx++){
            Piecewise<D2<SBasis> > path_i = skeleton[idx];
            Piecewise<SBasis> x = x0;
            Piecewise<SBasis> y = y0;
            Piecewise<D2<SBasis> > uskeleton = arc_length_parametrization(path_i,2,.1);
            uskeleton = remove_short_cuts(uskeleton,.01);
            Piecewise<D2<SBasis> > n = rot90(derivative(uskeleton));
            n = force_continuity(remove_short_cuts(n,.1));

            double scaling = 1;
            scaling = (uskeleton.domain().extent() - toffset)/pattBndsX->extent();

            // TODO investigate why pattWidth is not being used:
            double pattWidth = pattBndsX->extent() * scaling;

            if (scaling != 1.0) {
                x*=scaling;
            }

            if ( true /*scale_y_rel.get_value()*/ ) {
                y*=(scaling*prop_scale);
            } else {
                if (prop_scale != 1.0) y *= prop_scale;
            }
            x += toffset;

            output.concat(compose(uskeleton,x)+y*compose(n,x));
        }
    }

    return output;
}