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[cura.git] / Cura / cura_sf / fabmetheus_utilities / geometry / creation / polygon.py
1 """
2 Polygon path.
3
4 """
5
6 from __future__ import absolute_import
7 #Init has to be imported first because it has code to workaround the python bug where relative imports don't work if the module is imported as a main module.
8 import __init__
9
10 from fabmetheus_utilities.geometry.creation import lineation
11 from fabmetheus_utilities.geometry.geometry_tools import path
12 from fabmetheus_utilities.geometry.geometry_utilities import evaluate
13 from fabmetheus_utilities.vector3 import Vector3
14 from fabmetheus_utilities import euclidean
15 import math
16
17
18 __author__ = 'Enrique Perez (perez_enrique@yahoo.com)'
19 __credits__ = 'Art of Illusion <http://www.artofillusion.org/>'
20 __date__ = '$Date: 2008/02/05 $'
21 __license__ = 'GNU Affero General Public License http://www.gnu.org/licenses/agpl.html'
22
23
24 def getGeometryOutput(derivation, elementNode):
25         "Get vector3 vertexes from attribute dictionary."
26         if derivation == None:
27                 derivation = PolygonDerivation(elementNode)
28         loop = []
29         spiral = lineation.Spiral(derivation.spiral, 0.5 * derivation.sideAngle / math.pi)
30         for side in xrange(derivation.start, derivation.start + derivation.extent + 1):
31                 angle = float(side) * derivation.sideAngle
32                 unitPolar = euclidean.getWiddershinsUnitPolar(angle)
33                 vertex = spiral.getSpiralPoint(unitPolar, Vector3(unitPolar.real * derivation.radius.real, unitPolar.imag * derivation.radius.imag))
34                 loop.append(vertex)
35         loop = euclidean.getLoopWithoutCloseEnds(0.000001 * max(derivation.radius.real, derivation.radius.imag), loop)
36         lineation.setClosedAttribute(elementNode, derivation.revolutions)
37         return lineation.getGeometryOutputByLoop(elementNode, lineation.SideLoop(loop, derivation.sideAngle))
38
39 def getGeometryOutputByArguments(arguments, elementNode):
40         "Get vector3 vertexes from attribute dictionary by arguments."
41         evaluate.setAttributesByArguments(['sides', 'radius'], arguments, elementNode)
42         return getGeometryOutput(None, elementNode)
43
44 def getNewDerivation(elementNode):
45         'Get new derivation.'
46         return PolygonDerivation(elementNode)
47
48 def processElementNode(elementNode):
49         "Process the xml element."
50         path.convertElementNode(elementNode, getGeometryOutput(None, elementNode))
51
52
53 class PolygonDerivation:
54         "Class to hold polygon variables."
55         def __init__(self, elementNode):
56                 'Set defaults.'
57                 self.sides = evaluate.getEvaluatedFloat(4.0, elementNode, 'sides')
58                 self.sideAngle = 2.0 * math.pi / self.sides
59                 cosSide = math.cos(0.5 * self.sideAngle)
60                 self.radius = lineation.getComplexByMultiplierPrefixes(elementNode, cosSide, ['apothem', 'inradius'], complex(1.0, 1.0))
61                 self.radius = lineation.getComplexByPrefixes(elementNode, ['demisize', 'radius'], self.radius)
62                 self.radius = lineation.getComplexByMultiplierPrefixes(elementNode, 2.0, ['diameter', 'size'], self.radius)
63                 self.sidesCeiling = int(math.ceil(abs(self.sides)))
64                 self.start = evaluate.getEvaluatedInt(0, elementNode, 'start')
65                 end = evaluate.getEvaluatedInt(self.sidesCeiling, elementNode, 'end')
66                 self.revolutions = evaluate.getEvaluatedInt(1, elementNode, 'revolutions')
67                 self.extent = evaluate.getEvaluatedInt(end - self.start, elementNode, 'extent')
68                 self.extent += self.sidesCeiling * (self.revolutions - 1)
69                 self.spiral = evaluate.getVector3ByPrefix(None, elementNode, 'spiral')