#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 "ui/widget/scalar.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 source"), _("Path to put along the skeleton path"), "pattern", &wr, this, "M0,0 L1,0"), copytype(_("Pattern copies"), _("How many pattern copies to place along the skeleton path"), "copytype", SkelCopyTypeConverter, &wr, this, SSCT_SINGLE_STRETCHED), prop_scale(_("Width"), _("Width of the pattern"), "prop_scale", &wr, this, 1), scale_y_rel(_("Width in units of length"), _("Scale the width of the pattern in units of its length"), "scale_y_rel", &wr, this, false), spacing(_("Spacing"), _("Space between copies of the pattern"), "spacing", &wr, this, 0), normal_offset(_("Normal offset"), "", "normal_offset", &wr, this, 0), tang_offset(_("Tangential offset"), "", "tang_offset", &wr, this, 0), vertical_pattern(_("Pattern is vertical"), "", "vertical_pattern", &wr, this, false) { registerParameter( dynamic_cast(&pattern) ); registerParameter( dynamic_cast(©type) ); registerParameter( dynamic_cast(&prop_scale) ); registerParameter( dynamic_cast(&scale_y_rel) ); // registerParameter( dynamic_cast(&spacing) ); // registerParameter( dynamic_cast(&normal_offset) ); // registerParameter( dynamic_cast(&tang_offset) ); registerParameter( dynamic_cast(&vertical_pattern) ); prop_scale.param_set_digits(3); prop_scale.param_set_increments(0.01, 0.10); } LPESkeletalStrokes::~LPESkeletalStrokes() { } Geom::Piecewise > LPESkeletalStrokes::doEffect (Geom::Piecewise > & pwd2_in) { using namespace Geom; /* Much credit should go to jfb and mgsloan of lib2geom development for the code below! */ 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 = vertical_pattern.get_value() ? Piecewise(patternd2[1]) : Piecewise(patternd2[0]); Piecewise y = vertical_pattern.get_value() ? Piecewise(patternd2[0]) : Piecewise(patternd2[1]); Interval pattBnds = bounds_exact(x); x -= pattBnds.min(); Interval pattBndsY = bounds_exact(y); y -= (pattBndsY.max()+pattBndsY.min())/2; 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; if (scaling != 1.0) { x*=scaling; } if ( scale_y_rel.get_value() ) { y*=(scaling*prop_scale); } else { if (prop_scale != 1.0) y *= prop_scale; } double offs = 0; Piecewise > output; for (int i=0; i