Cura/util/drawingLoader/drawing.py

   1 from __future__ import absolute_import
   2 __copyright__ = "Copyright (C) 2013 David Braam - Released under terms of the AGPLv3 License"
   3
   4 import math
   5 import numpy
   6
   7 class Node(object):
   8         LINE = 0
   9         ARC = 1
  10         CURVE = 2
  11
  12         def __init__(self, type, position):
  13                 self.type = type
  14                 self.position = position
  15
  16 class LineNode(Node):
  17         def __init__(self, position):
  18                 super(LineNode, self).__init__(Node.LINE, position)
  19
  20 class ArcNode(Node):
  21         def __init__(self, position, rotation, radius, large, sweep):
  22                 super(ArcNode, self).__init__(Node.ARC, position)
  23                 self.rotation = rotation
  24                 self.radius = radius
  25                 self.large = large
  26                 self.sweep = sweep
  27
  28 class Path(object):
  29         def __init__(self, x, y, matrix=numpy.matrix(numpy.identity(3, numpy.float64))):
  30                 self._matrix = matrix
  31                 self._relMatrix = numpy.matrix([[matrix[0,0],matrix[1,0]],[matrix[0,1],matrix[1,1]]], numpy.float64)
  32                 self._startPoint = self._m(complex(x, y))
  33                 self._nodes = []
  34                 self._isClosed = False
  35
  36         def addLineTo(self, x, y):
  37                 self._nodes.append(LineNode(self._m(complex(x, y))))
  38
  39         def addArcTo(self, x, y, rotation, rx, ry, large, sweep):
  40                 self._nodes.append(ArcNode(self._m(complex(x, y)), rotation, self._r(complex(rx, ry)), large, sweep))
  41
  42         def addCurveTo(self, x, y, cp1x, cp1y, cp2x, cp2y):
  43                 node = Node(Node.CURVE, self._m(complex(x, y)))
  44                 node.cp1 = self._m(complex(cp1x, cp1y))
  45                 node.cp2 = self._m(complex(cp2x, cp2y))
  46                 self._nodes.append(node)
  47
  48         def isClosed(self):
  49                 return self._isClosed
  50
  51         def closePath(self):
  52                 if abs(self._nodes[-1].position - self._startPoint) > 0.01:
  53                         self._nodes.append(Node(Node.LINE, self._startPoint))
  54                 self._isClosed = True
  55
  56         def getArcInfo(self, node):
  57                 p1 = self._startPoint
  58                 if self._nodes[0] != node:
  59                         p1 = self._nodes[self._nodes.index(node) - 1].position
  60
  61                 p2 = node.position
  62                 rot = math.radians(node.rotation)
  63                 r = node.radius
  64
  65                 #http://www.w3.org/TR/SVG/implnote.html#ArcConversionEndpointToCenter
  66                 diff = (p1 - p2) / 2
  67                 p1alt = diff #TODO: apply rot
  68                 p2alt = -diff #TODO: apply rot
  69                 rx2 = r.real*r.real
  70                 ry2 = r.imag*r.imag
  71                 x1alt2 = p1alt.real*p1alt.real
  72                 y1alt2 = p1alt.imag*p1alt.imag
  73
  74                 f = x1alt2 / rx2 + y1alt2 / ry2
  75                 if f >= 1.0:
  76                         r *= math.sqrt(f+0.000001)
  77                         rx2 = r.real*r.real
  78                         ry2 = r.imag*r.imag
  79
  80                 if rx2*y1alt2+ry2*x1alt2 == 0.0:
  81                         f = 0
  82                 else:
  83                         f = math.sqrt((rx2*ry2 - rx2*y1alt2 - ry2*x1alt2) / (rx2*y1alt2+ry2*x1alt2))
  84                 if node.large == node.sweep:
  85                         f = -f
  86                 cAlt = f * complex(r.real*p1alt.imag/r.imag, -r.imag*p1alt.real/r.real)
  87
  88                 c = cAlt + (p1 + p2) / 2 #TODO: apply rot
  89
  90                 a1 = math.atan2((p1alt.imag - cAlt.imag) / r.imag, (p1alt.real - cAlt.real) / r.real)
  91                 a2 = math.atan2((p2alt.imag - cAlt.imag) / r.imag, (p2alt.real - cAlt.real) / r.real)
  92
  93                 large = abs(a2 - a1) > math.pi
  94                 if large != node.large:
  95                         if a1 < a2:
  96                                 a1 += math.pi * 2
  97                         else:
  98                                 a2 += math.pi * 2
  99
 100                 return c, a1, a2, r
 101
 102         def getPoints(self, accuracy = 1.0):
 103                 pointList = [(self._startPoint, -1)]
 104                 p1 = self._startPoint
 105                 idx = -1
 106                 for node in self._nodes:
 107                         idx += 1
 108                         if node.type == Node.LINE:
 109                                 p1 = node.position
 110                                 pointList.append((p1, idx))
 111                         elif node.type == Node.ARC:
 112                                 p2 = node.position
 113                                 c, a1, a2, r = self.getArcInfo(node)
 114
 115                                 pCenter = c + complex(math.cos(a1 + 0.5*(a2-a1)) * r.real, math.sin(a1 + 0.5*(a2-a1)) * r.imag)
 116                                 dist = abs(pCenter - p1) + abs(pCenter - p2)
 117                                 segments = int(dist / accuracy) + 1
 118                                 for n in xrange(1, segments):
 119                                         p = c + complex(math.cos(a1 + n*(a2-a1)/segments) * r.real, math.sin(a1 + n*(a2-a1)/segments) * r.imag)
 120                                         pointList.append((p, idx))
 121
 122                                 pointList.append((p2, idx))
 123                                 p1 = p2
 124                         elif node.type == Node.CURVE:
 125                                 p2 = node.position
 126                                 cp1 = node.cp1
 127                                 cp2 = node.cp2
 128
 129                                 pCenter = p1*0.5*0.5*0.5 + cp1*3.0*0.5*0.5*0.5 + cp2*3.0*0.5*0.5*0.5 + p2*0.5*0.5*0.5
 130                                 dist = abs(pCenter - p1) + abs(pCenter - p2)
 131                                 segments = int(dist / accuracy) + 1
 132                                 for n in xrange(1, segments):
 133                                         f = n / float(segments)
 134                                         g = 1.0-f
 135                                         point = p1*g*g*g + cp1*3.0*g*g*f + cp2*3.0*g*f*f + p2*f*f*f
 136                                         pointList.append((point, idx))
 137
 138                                 pointList.append((p2, idx))
 139                                 p1 = p2
 140
 141                 return pointList
 142
 143         #getSVGPath returns an SVG path string. Ths path string is not perfect when matrix transformations are involved.
 144         def getSVGPath(self):
 145                 p0 = self._startPoint
 146                 ret = 'M %f %f ' % (p0.real, p0.imag)
 147                 for node in self._nodes:
 148                         if node.type == Node.LINE:
 149                                 p0 = node.position
 150                                 ret += 'L %f %f' % (p0.real, p0.imag)
 151                         elif node.type == Node.ARC:
 152                                 p0 = node.position
 153                                 radius = node.radius
 154                                 ret += 'A %f %f 0 %d %d %f %f' % (radius.real, radius.imag, 1 if node.large else 0, 1 if node.sweep else 0, p0.real, p0.imag)
 155                         elif node.type == Node.CURVE:
 156                                 p0 = node.position
 157                                 cp1 = node.cp1
 158                                 cp2 = node.cp2
 159                                 ret += 'C %f %f %f %f %f %f' % (cp1.real, cp1.imag, cp2.real, cp2.imag, p0.real, p0.imag)
 160
 161                 return ret
 162
 163         def getPathString(self):
 164                 ret = '%f %f' % (self._startPoint.real, self._startPoint.imag)
 165                 for node in self._nodes:
 166                         if node.type == Node.LINE:
 167                                 ret += '|L %f %f' % (node.position.real, node.position.imag)
 168                         elif node.type == Node.ARC:
 169                                 ret += '|A %f %f %f %f %d %d' % (node.position.real, node.position.imag, node.radius.real, node.radius.imag, 1 if node.large else 0, 1 if node.sweep else 0)
 170                         elif node.type == Node.CURVE:
 171                                 ret += '|C %f %f %f %f %f %f' % (node.position.real, node.position.imag, node.cp1.real, node.cp1.imag, node.cp2.real, node.cp2.imag)
 172                 return ret
 173
 174         def _m(self, p):
 175                 tmp = numpy.matrix([p.real, p.imag, 1], numpy.float64) * self._matrix
 176                 return complex(tmp[0,0], tmp[0,1])
 177
 178         def _r(self, p):
 179                 tmp = numpy.matrix([p.real, p.imag], numpy.float64) * self._relMatrix
 180                 return complex(tmp[0,0], tmp[0,1])
 181
 182 class Drawing(object):
 183         def __init__(self):
 184                 self.paths = []
 185
 186         def addPath(self, x, y, matrix=numpy.matrix(numpy.identity(3, numpy.float64))):
 187                 p = Path(x, y, matrix)
 188                 self.paths.append(p)
 189                 return p
 190
 191         def _postProcessPaths(self):
 192                 for path in self.paths:
 193                         if not path.isClosed():
 194                                 if abs(path._nodes[-1].position - path._startPoint) < 0.001:
 195                                         path._isClosed = True
 196                         if path.isClosed() and len(path._nodes) == 2 and path._nodes[0].type == Node.ARC and path._nodes[1].type == Node.ARC:
 197                                 if abs(path._nodes[0].radius - path._nodes[1].radius) < 0.001:
 198                                         pass
 199                                         #path._nodes = []
 200
 201         def dumpToFile(self, file):
 202                 file.write("%d\n" % (len(self.paths)))
 203                 for path in self.paths:
 204                         file.write("%s\n" % (path.getPathString()))
 205
 206         def readFromFile(self, file):
 207                 self.paths = []
 208                 pathCount = int(file.readline())
 209                 for n in xrange(0, pathCount):
 210                         line = map(str.split, file.readline().strip().split('|'))
 211                         path = Path(float(line[0][0]), float(line[0][1]))
 212                         for item in line[1:]:
 213                                 if item[0] == 'L':
 214                                         path.addLineTo(float(item[1]), float(item[2]))
 215                                 elif item[0] == 'A':
 216                                         path.addArcTo(float(item[1]), float(item[2]), 0, float(item[3]), float(item[4]), int(item[5]) != 0, int(item[6]) != 0)
 217                                 elif item[0] == 'C':
 218                                         path.addCurveTo(float(item[1]), float(item[2]), float(item[3]), float(item[4]), float(item[5]), float(item[6]))
 219                         self.paths.append(path)
 220                 self._postProcessPaths()
 221
 222         def saveAsHtml(self, filename):
 223                 f = open(filename, "w")
 224
 225                 posMax = complex(-1000, -1000)
 226                 posMin = complex( 1000,  1000)
 227                 for path in self.paths:
 228                         points = path.getPoints()
 229                         for p in points:
 230                                 if p.real > posMax.real:
 231                                         posMax = complex(p.real, posMax.imag)
 232                                 if p.imag > posMax.imag:
 233                                         posMax = complex(posMax.real, p.imag)
 234                                 if p.real < posMin.real:
 235                                         posMin = complex(p.real, posMin.imag)
 236                                 if p.imag < posMin.imag:
 237                                         posMin = complex(posMin.real, p.imag)
 238
 239                 f.write("<!DOCTYPE html><html><body>\n")
 240                 f.write("<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" style='width:%dpx;height:%dpx'>\n" % ((posMax - posMin).real, (posMax - posMin).imag))
 241                 f.write("<g fill-rule='evenodd' style=\"fill: gray; stroke:black;stroke-width:2\">\n")
 242                 f.write("<path d=\"")
 243                 for path in self.paths:
 244                         points = path.getPoints()
 245                         f.write("M %f %f " % (points[0].real - posMin.real, points[0].imag - posMin.imag))
 246                         for point in points[1:]:
 247                                 f.write("L %f %f " % (point.real - posMin.real, point.imag - posMin.imag))
 248                 f.write("\"/>")
 249                 f.write("</g>\n")
 250
 251                 f.write("<g style=\"fill: none; stroke:red;stroke-width:1\">\n")
 252                 f.write("<path d=\"")
 253                 for path in self.paths:
 254                         f.write(path.getSVGPath())
 255                 f.write("\"/>")
 256                 f.write("</g>\n")
 257
 258                 f.write("</svg>\n")
 259                 f.write("</body></html>")
 260                 f.close()