#define INKSCAPE_LPE_SKELETAL_STROKES_CPP /* * Copyright (C) Johan Engelen 2007 * * Released under GNU GPL, read the file 'COPYING' for more information */ #include "live_effects/lpe-skeletalstrokes.h" #include "sp-shape.h" #include "display/curve.h" #include #include "live_effects/n-art-bpath-2geom.h" #include "svg/svg.h" #include <2geom/sbasis.h> #include <2geom/sbasis-geometric.h> #include <2geom/bezier-to-sbasis.h> #include <2geom/sbasis-to-bezier.h> #include <2geom/d2.h> #include <2geom/piecewise.h> #include using std::vector; /* Theory in e-mail from J.F. Barraud Let B be the skeleton path, and P the pattern (the path to be deformed). P is a map t --> P(t) = ( x(t), y(t) ). B is a map t --> B(t) = ( a(t), b(t) ). The first step is to re-parametrize B by its arc length: this is the parametrization in which a point p on B is located by its distance s from start. One obtains a new map s --> U(s) = (a'(s),b'(s)), that still describes the same path B, but where the distance along B from start to U(s) is s itself. We also need a unit normal to the path. This can be obtained by computing a unit tangent vector, and rotate it by 90°. Call this normal vector N(s). The basic deformation associated to B is then given by: (x,y) --> U(x)+y*N(x) (i.e. we go for distance x along the path, and then for distance y along the normal) Of course this formula needs some minor adaptations (as is it depends on the absolute position of P for instance, so a little translation is needed first) but I think we can first forget about them. */ namespace Inkscape { namespace LivePathEffect { static const Util::EnumData SkelCopyTypeData[SSCT_END] = { {SSCT_SINGLE, N_("Single"), "single"}, {SSCT_SINGLE_STRETCHED, N_("Single, stretched"), "single_stretched"}, {SSCT_REPEATED, N_("Repeated"), "repeated"}, {SSCT_REPEATED_STRETCHED, N_("Repeated, stretched"), "repeated_stretched"} }; static const Util::EnumDataConverter SkelCopyTypeConverter(SkelCopyTypeData, SSCT_END); LPESkeletalStrokes::LPESkeletalStrokes(LivePathEffectObject *lpeobject) : Effect(lpeobject), pattern(_("Pattern"), _("Pattern to put along path"), "pattern", &wr, this, "M0,0 L1,1"), origin(_("Origin"), _("Origin of ?"), "origin", &wr, this, Geom::Point(0,0)), copytype(_("Copytype"), _("tooltip"), "copytype", SkelCopyTypeConverter, &wr, this, SSCT_SINGLE_STRETCHED) { registerParameter( dynamic_cast(&origin) ); registerParameter( dynamic_cast(&pattern) ); registerParameter( dynamic_cast(©type) ); pattern.signal_path_pasted.connect(sigc::mem_fun(*this, &LPESkeletalStrokes::on_pattern_pasted)); } LPESkeletalStrokes::~LPESkeletalStrokes() { } Geom::Piecewise > LPESkeletalStrokes::doEffect (Geom::Piecewise > & pwd2_in) { using namespace Geom; /* LOTS OF CODE COPIED FROM 2geom/src/toys/path-along-path.cpp * All credits should go to jfb and mgsloan of lib2geom development! */ SkelCopyType type = copytype.get_value(); Piecewise > uskeleton = arc_length_parametrization(Piecewise >(pwd2_in),2,.1); uskeleton = remove_short_cuts(uskeleton,.01); Piecewise > n = rot90(derivative(uskeleton)); n = force_continuity(remove_short_cuts(n,.1)); D2 > patternd2 = make_cuts_independant(pattern); Piecewise x=Piecewise(patternd2[0]-origin[0]); Piecewise y=Piecewise(patternd2[1]-origin[1]); Interval pattBnds = bounds_exact(x); int nbCopies = int(uskeleton.cuts.back()/pattBnds.extent()); double scaling = 1; switch(type) { case SSCT_REPEATED: break; case SSCT_SINGLE: nbCopies = (nbCopies > 0) ? 1 : 0; break; case SSCT_SINGLE_STRETCHED: nbCopies = 1; scaling = uskeleton.cuts.back()/pattBnds.extent(); break; case SSCT_REPEATED_STRETCHED: scaling = uskeleton.cuts.back()/(((double)nbCopies)*pattBnds.extent()); break; default: return pwd2_in; }; double pattWidth = pattBnds.extent() * scaling; x-=pattBnds.min(); if (scaling != 1) x*=scaling; double offs = 0; Piecewise >output; for (int i=0; i