94 lines
4.3 KiB
Python
94 lines
4.3 KiB
Python
"""
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Add material to support overhang or remove material at the overhang angle.
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"""
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from __future__ import absolute_import
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#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.
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import __init__
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from fabmetheus_utilities.geometry.creation import lineation
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from fabmetheus_utilities.geometry.geometry_utilities import evaluate
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from fabmetheus_utilities.vector3 import Vector3
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from fabmetheus_utilities import euclidean
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import math
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__author__ = 'Enrique Perez (perez_enrique@yahoo.com)'
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__credits__ = 'Art of Illusion <http://www.artofillusion.org/>'
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__date__ = '$Date: 2008/02/05 $'
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__license__ = 'GNU Affero General Public License http://www.gnu.org/licenses/agpl.html'
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globalExecutionOrder = 40
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def getManipulatedPaths(close, elementNode, loop, prefix, sideLength):
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"Get round loop."
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if len(loop) < 3:
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return [loop]
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derivation = RoundDerivation(elementNode, prefix, sideLength)
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if derivation.radius == 0.0:
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return loop
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roundLoop = []
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sidesPerRadian = 0.5 / math.pi * evaluate.getSidesMinimumThreeBasedOnPrecision(elementNode, sideLength)
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for pointIndex in xrange(len(loop)):
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begin = loop[(pointIndex + len(loop) - 1) % len(loop)]
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center = loop[pointIndex]
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end = loop[(pointIndex + 1) % len(loop)]
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roundLoop += getRoundPath(begin, center, close, end, derivation.radius, sidesPerRadian)
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return [euclidean.getLoopWithoutCloseSequentialPoints(close, roundLoop)]
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def getNewDerivation(elementNode, prefix, sideLength):
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'Get new derivation.'
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return RoundDerivation(elementNode, prefix, sideLength)
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def getRoundPath( begin, center, close, end, radius, sidesPerRadian ):
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"Get round path."
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beginComplex = begin.dropAxis()
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centerComplex = center.dropAxis()
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endComplex = end.dropAxis()
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beginComplexSegmentLength = abs( centerComplex - beginComplex )
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endComplexSegmentLength = abs( centerComplex - endComplex )
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minimumRadius = lineation.getMinimumRadius( beginComplexSegmentLength, endComplexSegmentLength, radius )
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if minimumRadius <= close:
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return [ center ]
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beginBevel = center + minimumRadius / beginComplexSegmentLength * ( begin - center )
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endBevel = center + minimumRadius / endComplexSegmentLength * ( end - center )
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beginBevelComplex = beginBevel.dropAxis()
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endBevelComplex = endBevel.dropAxis()
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midpointComplex = 0.5 * ( beginBevelComplex + endBevelComplex )
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if radius < 0.0:
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centerComplex = midpointComplex + midpointComplex - centerComplex
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midpointMinusCenterComplex = midpointComplex - centerComplex
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midpointCenterLength = abs( midpointMinusCenterComplex )
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midpointEndLength = abs( midpointComplex - endBevelComplex )
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midpointCircleCenterLength = midpointEndLength * midpointEndLength / midpointCenterLength
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circleRadius = math.sqrt( midpointCircleCenterLength * midpointCircleCenterLength + midpointEndLength * midpointEndLength )
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circleCenterComplex = midpointComplex + midpointMinusCenterComplex * midpointCircleCenterLength / midpointCenterLength
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circleCenter = Vector3( circleCenterComplex.real, circleCenterComplex.imag, center.z )
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endMinusCircleCenterComplex = endBevelComplex - circleCenterComplex
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beginMinusCircleCenter = beginBevel - circleCenter
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beginMinusCircleCenterComplex = beginMinusCircleCenter.dropAxis()
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angleDifference = euclidean.getAngleDifferenceByComplex( endMinusCircleCenterComplex, beginMinusCircleCenterComplex )
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steps = int( math.ceil( abs( angleDifference ) * sidesPerRadian ) )
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stepPlaneAngle = euclidean.getWiddershinsUnitPolar( angleDifference / float( steps ) )
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deltaZStep = ( end.z - begin.z ) / float( steps )
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roundPath = [ beginBevel ]
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for step in xrange( 1, steps ):
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beginMinusCircleCenterComplex = beginMinusCircleCenterComplex * stepPlaneAngle
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arcPointComplex = circleCenterComplex + beginMinusCircleCenterComplex
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arcPoint = Vector3( arcPointComplex.real, arcPointComplex.imag, begin.z + deltaZStep * step )
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roundPath.append( arcPoint )
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return roundPath + [ endBevel ]
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def processElementNode(elementNode):
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"Process the xml element."
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lineation.processElementNodeByFunction(elementNode, getManipulatedPaths)
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class RoundDerivation:
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"Class to hold round variables."
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def __init__(self, elementNode, prefix, sideLength):
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'Set defaults.'
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self.radius = lineation.getFloatByPrefixSide(0.0, elementNode, prefix + 'radius', sideLength)
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