summaryrefslogtreecommitdiff
path: root/graphics/asymptote/drawpath.cc
blob: 64a82a642f7f1bf0bb23f5b4313658c48564cd27 (plain)
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
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
/*****
 * drawpath.cc
 * Andy Hammerlindl 2002/06/06
 *
 * Stores a path that has been added to a picture.
 *****/

#include <sstream>
#include <vector>
#include <cfloat>

#include "drawpath.h"
#include "psfile.h"
#include "util.h"

using vm::array;
using vm::read;

namespace camp {

double PatternLength(double arclength, const array& pat,
                     bool cyclic, double penwidth)
{
  double sum=0.0;

  size_t n=pat.size();
  for(unsigned i=0; i < n; i ++)
    sum += read<double>(pat,i)*penwidth;

  if(sum == 0.0) return 0.0;

  if(n % 2 == 1) sum *= 2.0; // On/off pattern repeats after 2 cycles.

  double pat0=read<double>(pat,0);
  // Fix bounding box resolution problem. Example:
  // asy -f pdf testlinetype; gv -scale -2 testlinetype.pdf
  if(!cyclic && pat0 == 0) sum += 1.0e-3*penwidth;

  double terminator=(cyclic && arclength >= 0.5*sum) ? 0.0 : pat0*penwidth;
  int ncycle=(int)((arclength-terminator)/sum+0.5);

  return (ncycle >= 1 || terminator >= 0.75*arclength) ?
    ncycle*sum+terminator : 0.0;
}

bool isdashed(pen& p) {
  const LineType *linetype=p.linetype();
  size_t n=linetype->pattern.size();
  return n > 0;
}

pen adjustdash(pen& p, double arclength, bool cyclic)
{
  pen q=p;
  // Adjust dash sizes to fit arclength; also compensate for linewidth.
  const LineType *linetype=q.linetype();
  size_t n=linetype->pattern.size();

  if(n > 0) {
    double penwidth=linetype->scale ? q.width() : 1.0;
    double factor=penwidth;

    if(linetype->adjust && arclength) {
      double denom=PatternLength(arclength,linetype->pattern,cyclic,penwidth);
      if(denom != 0.0) factor *= arclength/denom;
    }

    if(factor != 1.0)
      q.adjust(max(factor,0.1));
  }
  return q;
}

// Account for square or extended pen cap contributions to bounding box.
void cap(bbox& b, double t, path p, pen pentype)
{
  transform T=pentype.getTransform();

  double h=0.5*pentype.width();
  pair v=p.dir(t);
  transform S=rotate(conj(v))*shiftless(T);
  double xx=S.getxx(), xy=S.getxy();
  double yx=S.getyx(), yy=S.getyy();
  double y=hypot(yx,yy);
  if(y == 0.0) return;
  double numer=xx*yx+xy*yy;
  double x=numer/y;
  pair z=shift(T)*p.point(t);

  switch(pentype.cap()) {
    case SquareCap:
    {
      pair d=rotate(v)*pair(x,y)*h;
      b += z+d;
      b += z-d;
      break;
    }
    case RoundCap:
    {
      b += pad(z,pentype.bounds());
      break;
    }
    case ExtendedCap:
    {
      transform R=rotate(v);
      double w=(xx*yy-xy*yx)/y;
      pair dp=R*pair(x+w,y)*h;
      pair dm=R*pair(x-w,y)*h;
      b += z+dp;
      b += z+dm;
      b += z-dp;
      b += z-dm;
      break;
    }
  }
}

// Account for square or extended pen cap contributions to bounding box.
void join(bbox& b, double t, path p, pen pentype)
{
  transform T=pentype.getTransform();

  double h=0.5*pentype.width();
  pair v=p.dir(t);
  transform S=rotate(conj(v))*shiftless(T);
  double xx=S.getxx(), xy=S.getxy();
  double yx=S.getyx(), yy=S.getyy();
  double y=hypot(yx,yy);
  if(y == 0.0) return;
  double numer=xx*yx+xy*yy;
  double x=numer/y;
  pair z=shift(T)*p.point(t);

  switch(pentype.join()) {
    case MiterJoin:
    {
      double phi=angle(-p.predir(t),false)-angle(p.postdir(t),false);
      static const double twopi=2.0*pi;
      if(phi > pi) phi -= twopi;
      if(phi < -pi) phi += twopi;
      double s=sin(0.5*phi);
      if(s != 0.0) {
        double factor=1.0/s;
        if(abs(factor) < pentype.miter()) {
          b += z-rotate(v)*pair(x,y)*h*factor;
          break;
        }
      }
      // Fall through
    }
    case BevelJoin:
    {
      pair Z=pair(x,y)*h;
      pair d=rotate(p.predir(t))*Z;
      b += z+d;
      b += z-d;
      pair D=rotate(p.postdir(t))*Z;
      b += z+D;
      b += z-D;
      break;
    }
    case RoundJoin:
    {
      b += pad(z,pentype.bounds());
      break;
    }
  }
}

void drawPathPenBase::strokebounds(bbox& b, const path& p)
{
  Int l=p.length();
  if(l < 0) return;

  b += p.internalbounds(pentype.bounds());

  unsigned int n=p.size();
  if(p.cyclic())
    join(b,0,p,pentype);

  for(unsigned int i=1; i < n-1; ++i)
    join(b,i,p,pentype);

  if(p.cyclic()) {
    join(b,n-1,p,pentype);
  } else {
    cap(b,0,p,pentype);
    cap(b,l,p,pentype);
  }
}

bool drawPath::draw(psfile *out)
{
  Int n = p.size();
  if (n == 0 || pentype.invisible())
    return true;

  pen q=isdashed(pentype) ?
    adjustdash(pentype,
               p.transformed(inverse(pentype.getTransform())).arclength(),
               p.cyclic()) :  pentype;

  penSave(out);
  penTranslate(out);

  if(n > 1)
    out->write(p);
  else
    out->dot(p,q);

  penConcat(out);

  out->setpen(q);

  out->stroke(q,n == 1);

  penRestore(out);

  return true;
}

drawElement *drawPath::transformed(const transform& t)
{
  return new drawPath(transpath(t),transpen(t),KEY);
}

} //namespace camp