#define INKSCAPE_LPE_PATTERN_ALONG_PATH_CPP /* * Copyright (C) Johan Engelen 2007 * * Released under GNU GPL, read the file 'COPYING' for more information */ #include "live_effects/lpe-patternalongpath.h" #include "live_effects/lpeobject.h" #include "sp-shape.h" #include "display/curve.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 PAPCopyTypeData[PAPCT_END] = { {PAPCT_SINGLE, N_("Single"), "single"}, {PAPCT_SINGLE_STRETCHED, N_("Single, stretched"), "single_stretched"}, {PAPCT_REPEATED, N_("Repeated"), "repeated"}, {PAPCT_REPEATED_STRETCHED, N_("Repeated, stretched"), "repeated_stretched"} }; static const Util::EnumDataConverter PAPCopyTypeConverter(PAPCopyTypeData, PAPCT_END); LPEPatternAlongPath::LPEPatternAlongPath(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", PAPCopyTypeConverter, &wr, this, PAPCT_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"), // xgettext:no-c-format _("Space between copies of the pattern. Negative values allowed, but are limited to -90% of pattern width."), "spacing", &wr, this, 0), normal_offset(_("Normal offset"), "", "normal_offset", &wr, this, 0), tang_offset(_("Tangential offset"), "", "tang_offset", &wr, this, 0), prop_units(_("Offsets in unit of pattern size"), _("Spacing, tangential and normal offset are expressed as a ratio of width/height"), "prop_units", &wr, this, false), vertical_pattern(_("Pattern is vertical"), _("Rotate pattern 90 deg before applying"), "vertical_pattern", &wr, this, false), fuse_tolerance(_("Fuse nearby ends"), _("Fuse ends closer than this number. 0 means don't fuse."), "fuse_tolerance", &wr, this, 0) { 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(&prop_units) ); registerParameter( dynamic_cast(&vertical_pattern) ); registerParameter( dynamic_cast(&fuse_tolerance) ); prop_scale.param_set_digits(3); prop_scale.param_set_increments(0.01, 0.10); } LPEPatternAlongPath::~LPEPatternAlongPath() { } Geom::Piecewise > LPEPatternAlongPath::doEffect_pwd2 (Geom::Piecewise > const & pwd2_in) { using namespace Geom; // Don't allow empty path parameter: if ( pattern.get_pathvector().empty() ) { return pwd2_in; } /* Much credit should go to jfb and mgsloan of lib2geom development for the code below! */ Piecewise > output; std::vector > > pre_output; PAPCopyType type = copytype.get_value(); D2 > patternd2 = make_cuts_independent(pattern.get_pwd2()); Piecewise x0 = vertical_pattern.get_value() ? Piecewise(patternd2[1]) : Piecewise(patternd2[0]); Piecewise y0 = vertical_pattern.get_value() ? Piecewise(patternd2[0]) : Piecewise(patternd2[1]); OptInterval pattBndsX = bounds_exact(x0); OptInterval pattBndsY = bounds_exact(y0); if (pattBndsX && pattBndsY) { x0 -= pattBndsX->min(); y0 -= pattBndsY->middle(); double xspace = spacing; double noffset = normal_offset; double toffset = tang_offset; if (prop_units.get_value() && pattBndsY){ xspace *= pattBndsX->extent(); noffset *= pattBndsY->extent(); toffset *= pattBndsX->extent(); } //Prevent more than 90% overlap... if (xspace < -pattBndsX->extent()*.9) { xspace = -pattBndsX->extent()*.9; } //TODO: dynamical update of parameter ranges? //if (prop_units.get_value()){ // spacing.param_set_range(-.9, NR_HUGE); // }else{ // spacing.param_set_range(-pattBndsX.extent()*.9, NR_HUGE); // } y0+=noffset; std::vector > > paths_in; paths_in = split_at_discontinuities(pwd2_in); for (unsigned idx = 0; idx < paths_in.size(); idx++){ Geom::Piecewise > path_i = paths_in[idx]; Piecewise x = x0; Piecewise y = y0; Piecewise > uskeleton = arc_length_parametrization(path_i,2,.1); uskeleton = remove_short_cuts(uskeleton,.01); Piecewise > n = rot90(derivative(uskeleton)); n = force_continuity(remove_short_cuts(n,.1)); int nbCopies = 0; double scaling = 1; switch(type) { case PAPCT_REPEATED: nbCopies = static_cast(floor((uskeleton.domain().extent() - toffset + xspace)/(pattBndsX->extent()+xspace))); pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace); break; case PAPCT_SINGLE: nbCopies = (toffset + pattBndsX->extent() < uskeleton.domain().extent()) ? 1 : 0; break; case PAPCT_SINGLE_STRETCHED: nbCopies = 1; scaling = (uskeleton.domain().extent() - toffset)/pattBndsX->extent(); break; case PAPCT_REPEATED_STRETCHED: // if uskeleton is closed: if(path_i.segs.front().at0() == path_i.segs.back().at1()){ nbCopies = static_cast(std::floor((uskeleton.domain().extent() - toffset)/(pattBndsX->extent()+xspace))); pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace); scaling = (uskeleton.domain().extent() - toffset)/(((double)nbCopies)*pattBndsX->extent()); // if not closed: no space at the end }else{ nbCopies = static_cast(std::floor((uskeleton.domain().extent() - toffset + xspace)/(pattBndsX->extent()+xspace))); pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace); scaling = (uskeleton.domain().extent() - toffset)/(((double)nbCopies)*pattBndsX->extent() - xspace); } break; default: return pwd2_in; }; double pattWidth = pattBndsX->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; } x += toffset; double offs = 0; for (int i=0; i 0){ Geom::Piecewise > output_piece = compose(uskeleton,x+offs)+y*compose(n,x+offs); std::vector > > splited_output_piece = split_at_discontinuities(output_piece); pre_output.insert(pre_output.end(), splited_output_piece.begin(), splited_output_piece.end() ); }else{ output.concat(compose(uskeleton,x+offs)+y*compose(n,x+offs)); } offs+=pattWidth; } } if (fuse_tolerance > 0){ pre_output = fuse_nearby_ends(pre_output, fuse_tolerance); for (unsigned i=0; i