1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
|
#define INKSCAPE_LPE_BENDPATH_CPP
/*
* Copyright (C) Johan Engelen 2007 <j.b.c.engelen@utwente.nl>
* Copyright (C) Steren Giannini 2008 <steren.giannini@gmail.com>
*
* Released under GNU GPL, read the file 'COPYING' for more information
*/
#include "live_effects/lpe-bendpath.h"
#include "sp-shape.h"
#include "sp-item.h"
#include "sp-path.h"
#include "sp-item-group.h"
//#include <libnr/n-art-bpath.h>
#include "libnr/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 <algorithm>
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 {
LPEBendPath::LPEBendPath(LivePathEffectObject *lpeobject) :
Effect(lpeobject),
bend_path(_("Bend path"), _("Path along which to bend the original path"), "bendpath", &wr, this, "M0,0 L1,0"),
prop_scale(_("Width"), _("Width of the path"), "prop_scale", &wr, this, 1),
scale_y_rel(_("Width in units of length"), _("Scale the width of the path in units of its length"), "scale_y_rel", &wr, this, false),
vertical_pattern(_("Original path is vertical"), _("Rotates the original 90 degrees, before bending it along the bend path"), "vertical", &wr, this, false)
{
registerParameter( dynamic_cast<Parameter *>(&bend_path) );
registerParameter( dynamic_cast<Parameter *>(&prop_scale) );
registerParameter( dynamic_cast<Parameter *>(&scale_y_rel) );
registerParameter( dynamic_cast<Parameter *>(&vertical_pattern) );
prop_scale.param_set_digits(3);
prop_scale.param_set_increments(0.01, 0.10);
concatenate_before_pwd2 = true;
groupSpecialBehavior = false;
}
LPEBendPath::~LPEBendPath()
{
}
void
LPEBendPath::doBeforeEffect (SPLPEItem *lpeitem)
{
if(SP_IS_GROUP(lpeitem))
{
groupSpecialBehavior = true;
original_bbox(lpeitem);
}
}
Geom::Piecewise<Geom::D2<Geom::SBasis> >
LPEBendPath::doEffect_pwd2 (Geom::Piecewise<Geom::D2<Geom::SBasis> > const & pwd2_in)
{
using namespace Geom;
/* Much credit should go to jfb and mgsloan of lib2geom development for the code below! */
Piecewise<D2<SBasis> > uskeleton = arc_length_parametrization(Piecewise<D2<SBasis> >(bend_path.get_pwd2()),2,.1);
uskeleton = remove_short_cuts(uskeleton,.01);
Piecewise<D2<SBasis> > n = rot90(derivative(uskeleton));
n = force_continuity(remove_short_cuts(n,.1));
D2<Piecewise<SBasis> > patternd2 = make_cuts_independant(pwd2_in);
Piecewise<SBasis> x = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[1]) : Piecewise<SBasis>(patternd2[0]);
Piecewise<SBasis> y = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[0]) : Piecewise<SBasis>(patternd2[1]);
//We use the group bounding box size or the path bbox size to translate well x and y
if(groupSpecialBehavior == false)
{
boundingbox_X = bounds_exact(x);
boundingbox_Y = bounds_exact(y);
}
x-= vertical_pattern.get_value() ? boundingbox_Y.min() : boundingbox_X.min();
y-= vertical_pattern.get_value() ? boundingbox_X.middle() : boundingbox_Y.middle();
double scaling = uskeleton.cuts.back()/boundingbox_X.extent();
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;
}
Piecewise<D2<SBasis> > output = compose(uskeleton,x) + y*compose(n,x);
return output;
}
void
LPEBendPath::resetDefaults(SPItem * item)
{
original_bbox(SP_LPE_ITEM(item));
Geom::Point start(boundingbox_X.min(), (boundingbox_Y.max()+boundingbox_Y.min())/2);
Geom::Point end(boundingbox_X.max(), (boundingbox_Y.max()+boundingbox_Y.min())/2);
if ( Geom::are_near(start,end) ) {
end += Geom::Point(1.,0.);
}
Geom::Path path;
path.start( start );
path.appendNew<Geom::LineSegment>( end );
bend_path.param_set_and_write_new_value( path.toPwSb() );
}
void
LPEBendPath::transform_multiply(Geom::Matrix const& postmul, bool set)
{
// TODO: implement correct transformation instead of this default behavior
Effect::transform_multiply(postmul, set);
}
} // namespace LivePathEffect
} /* namespace Inkscape */
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4 :
|