Пример #1
0
def getCubicPath(elementNode):
	"Get the cubic path."
	end = evaluate.getVector3FromElementNode(elementNode)
	previousElementNode = elementNode.getPreviousElementNode()
	if previousElementNode is None:
		print('Warning, can not get previousElementNode in getCubicPath in cubic for:')
		print(elementNode)
		return [end]
	begin = elementNode.getPreviousVertex(Vector3())
	evaluatedControlPoints = evaluate.getTransformedPathByKey([], elementNode, 'controlPoints')
	if len(evaluatedControlPoints) > 1:
		return getCubicPathByBeginEnd(begin, evaluatedControlPoints, elementNode, end)
	controlPoint0 = evaluate.getVector3ByPrefix(None, elementNode, 'controlPoint0')
	controlPoint1 = evaluate.getVector3ByPrefix(None, elementNode, 'controlPoint1')
	if len(evaluatedControlPoints) == 1:
		controlPoint1 = evaluatedControlPoints[0]
	if controlPoint0 is None:
		oldControlPoint = evaluate.getVector3ByPrefixes(previousElementNode, ['controlPoint','controlPoint1'], None)
		if oldControlPoint is None:
			oldControlPoints = evaluate.getTransformedPathByKey([], previousElementNode, 'controlPoints')
			if len(oldControlPoints) > 0:
				oldControlPoint = oldControlPoints[-1]
		if oldControlPoint is None:
			oldControlPoint = end
		controlPoint0 = begin + begin - oldControlPoint
	return getCubicPathByBeginEnd(begin, [controlPoint0, controlPoint1], elementNode, end)
Пример #2
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def getCubicPath(xmlElement):
	"Get the cubic path."
	end = evaluate.getVector3FromXMLElement(xmlElement)
	previousXMLElement = xmlElement.getPreviousXMLElement()
	if previousXMLElement == None:
		print('Warning, can not get previousXMLElement in getCubicPath in cubic for:')
		print(xmlElement)
		return [end]
	begin = xmlElement.getPreviousVertex(Vector3())
	evaluatedControlPoints = evaluate.getTransformedPathByKey('controlPoints', xmlElement)
	if len(evaluatedControlPoints) > 1:
		return getCubicPathByBeginEnd(begin, evaluatedControlPoints, end, xmlElement)
	controlPoint0 = evaluate.getVector3ByPrefix('controlPoint0', None, xmlElement)
	controlPoint1 = evaluate.getVector3ByPrefix('controlPoint1', None, xmlElement)
	if len(evaluatedControlPoints) == 1:
		controlPoint1 = evaluatedControlPoints[0]
	if controlPoint0 == None:
		oldControlPoint = evaluate.getVector3ByPrefixes(['controlPoint','controlPoint1'], None, previousXMLElement)
		if oldControlPoint == None:
			oldControlPoints = evaluate.getTransformedPathByKey('controlPoints', previousXMLElement)
			if len(oldControlPoints) > 0:
				oldControlPoint = oldControlPoints[-1]
		if oldControlPoint == None:
			oldControlPoint = end
		controlPoint0 = begin + begin - oldControlPoint
	return getCubicPathByBeginEnd(begin, [controlPoint0, controlPoint1], end, xmlElement)
Пример #3
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def getCubicPath(xmlElement):
	"Get the cubic path."
	end = evaluate.getVector3FromXMLElement(xmlElement)
	previousXMLElement = xmlElement.getPreviousXMLElement()
	if previousXMLElement == None:
		print('Warning, can not get previousXMLElement in getCubicPath in cubic for:')
		print(xmlElement)
		return [end]
	begin = xmlElement.getPreviousVertex(Vector3())
	evaluatedControlPoints = evaluate.getTransformedPathByKey([], 'controlPoints', xmlElement)
	if len(evaluatedControlPoints) > 1:
		return getCubicPathByBeginEnd(begin, evaluatedControlPoints, end, xmlElement)
	controlPoint0 = evaluate.getVector3ByPrefix(None, 'controlPoint0', xmlElement)
	controlPoint1 = evaluate.getVector3ByPrefix(None, 'controlPoint1', xmlElement)
	if len(evaluatedControlPoints) == 1:
		controlPoint1 = evaluatedControlPoints[0]
	if controlPoint0 == None:
		oldControlPoint = evaluate.getVector3ByPrefixes(['controlPoint','controlPoint1'], None, previousXMLElement)
		if oldControlPoint == None:
			oldControlPoints = evaluate.getTransformedPathByKey([], 'controlPoints', previousXMLElement)
			if len(oldControlPoints) > 0:
				oldControlPoint = oldControlPoints[-1]
		if oldControlPoint == None:
			oldControlPoint = end
		controlPoint0 = begin + begin - oldControlPoint
	return getCubicPathByBeginEnd(begin, [controlPoint0, controlPoint1], end, xmlElement)
Пример #4
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	def setToXMLElementOnly(self, xmlElement):
		"Set to the xmlElement."
		self.axisEnd = evaluate.getVector3ByPrefix(self.axisEnd, 'axisEnd', xmlElement)
		self.axisStart = evaluate.getVector3ByPrefix(self.axisStart, 'axisStart', xmlElement)
		self.end = evaluate.getEvaluatedFloatDefault(self.end, 'end', xmlElement)
		self.loop = evaluate.getTransformedPathByKey('loop', xmlElement)
		self.sides = evaluate.getEvaluatedIntDefault(self.sides, 'sides', xmlElement)
		self.start = evaluate.getEvaluatedFloatDefault(self.start, 'start', xmlElement)
		self.target = evaluate.getTransformedPathsByKey('target', xmlElement)
Пример #5
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	def __init__(self, elementNode):
		'Set defaults.'
		self.axisEnd = evaluate.getVector3ByPrefix(None, elementNode, 'axisEnd')
		self.axisStart = evaluate.getVector3ByPrefix(None, elementNode, 'axisStart')
		self.end = evaluate.getEvaluatedFloat(360.0, elementNode, 'end')
		self.loop = evaluate.getTransformedPathByKey([], elementNode, 'loop')
		self.sides = evaluate.getEvaluatedInt(None, elementNode, 'sides')
		self.start = evaluate.getEvaluatedFloat(0.0, elementNode, 'start')
		self.target = evaluate.getTransformedPathsByKey([], elementNode, 'target')
		if len(self.target) < 1:
			print('Warning, no target in derive in lathe for:')
			print(elementNode)
			return
		firstPath = self.target[0]
		if len(firstPath) < 3:
			print('Warning, firstPath length is less than three in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		if self.axisStart == None:
			if self.axisEnd == None:
				self.axisStart = firstPath[0]
				self.axisEnd = firstPath[-1]
			else:
				self.axisStart = Vector3()
		self.axis = self.axisEnd - self.axisStart
		axisLength = abs(self.axis)
		if axisLength <= 0.0:
			print('Warning, axisLength is zero in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		self.axis /= axisLength
		firstVector3 = firstPath[1] - self.axisStart
		firstVector3Length = abs(firstVector3)
		if firstVector3Length <= 0.0:
			print('Warning, firstVector3Length is zero in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		firstVector3 /= firstVector3Length
		self.axisProjectiveSpace = euclidean.ProjectiveSpace().getByBasisZFirst(self.axis, firstVector3)
		if self.sides == None:
			distanceToLine = euclidean.getDistanceToLineByPaths(self.axisStart, self.axisEnd, self.target)
			self.sides = evaluate.getSidesMinimumThreeBasedOnPrecisionSides(elementNode, distanceToLine)
		endRadian = math.radians(self.end)
		startRadian = math.radians(self.start)
		self.isEndCloseToStart = euclidean.getIsRadianClose(endRadian, startRadian)
		if len(self.loop) < 1:
			self.loop = euclidean.getComplexPolygonByStartEnd(endRadian, 1.0, self.sides, startRadian)
		self.normal = euclidean.getNormalByPath(firstPath)
Пример #6
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	def __init__(self, elementNode):
		'Set defaults.'
		self.axisEnd = evaluate.getVector3ByPrefix(None, elementNode, 'axisEnd')
		self.axisStart = evaluate.getVector3ByPrefix(None, elementNode, 'axisStart')
		self.end = evaluate.getEvaluatedFloat(360.0, elementNode, 'end')
		self.loop = evaluate.getTransformedPathByKey([], elementNode, 'loop')
		self.sides = evaluate.getEvaluatedInt(None, elementNode, 'sides')
		self.start = evaluate.getEvaluatedFloat(0.0, elementNode, 'start')
		self.target = evaluate.getTransformedPathsByKey([], elementNode, 'target')
		if len(self.target) < 1:
			print('Warning, no target in derive in lathe for:')
			print(elementNode)
			return
		firstPath = self.target[0]
		if len(firstPath) < 3:
			print('Warning, firstPath length is less than three in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		if self.axisStart == None:
			if self.axisEnd == None:
				self.axisStart = firstPath[0]
				self.axisEnd = firstPath[-1]
			else:
				self.axisStart = Vector3()
		self.axis = self.axisEnd - self.axisStart
		axisLength = abs(self.axis)
		if axisLength <= 0.0:
			print('Warning, axisLength is zero in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		self.axis /= axisLength
		firstVector3 = firstPath[1] - self.axisStart
		firstVector3Length = abs(firstVector3)
		if firstVector3Length <= 0.0:
			print('Warning, firstVector3Length is zero in derive in lathe for:')
			print(elementNode)
			self.target = []
			return
		firstVector3 /= firstVector3Length
		self.axisProjectiveSpace = euclidean.ProjectiveSpace().getByBasisZFirst(self.axis, firstVector3)
		if self.sides == None:
			distanceToLine = euclidean.getDistanceToLineByPaths(self.axisStart, self.axisEnd, self.target)
			self.sides = evaluate.getSidesMinimumThreeBasedOnPrecisionSides(elementNode, distanceToLine)
		endRadian = math.radians(self.end)
		startRadian = math.radians(self.start)
		self.isEndCloseToStart = euclidean.getIsRadianClose(endRadian, startRadian)
		if len(self.loop) < 1:
			self.loop = euclidean.getComplexPolygonByStartEnd(endRadian, 1.0, self.sides, startRadian)
		self.normal = euclidean.getNormalByPath(firstPath)
Пример #7
0
	def setToXMLElement(self, xmlElement):
		"Set to the xmlElement."
		self.clearanceOverWavelength = evaluate.getEvaluatedFloatDefault(
			self.clearanceOverWavelength, 'clearanceOverWavelength', xmlElement)
		self.collarWidthOverShaftRadius = evaluate.getEvaluatedFloatDefault(
			self.collarWidthOverShaftRadius, 'collarWidthOverShaftRadius', xmlElement)
		self.copyShallow = xmlElement.getCopyShallow()
		self.creationType = evaluate.getEvaluatedStringDefault(self.creationType, 'creationType', xmlElement)
		self.gearCollarThicknessOverThickness = evaluate.getEvaluatedFloatDefault(
			self.gearCollarThicknessOverThickness, 'gearCollarThicknessOverThickness', xmlElement)
		self.helixAngle = evaluate.getEvaluatedFloatDefault(self.helixAngle, 'helixAngle', xmlElement)
		self.helixType = evaluate.getEvaluatedStringDefault(self.helixType, 'helixType', xmlElement)
		self.keywayRadiusOverRadius = evaluate.getEvaluatedFloatDefault(
			self.keywayRadiusOverRadius, 'keywayRadiusOverRadius', xmlElement)
		self.lighteningHoleMarginOverRimWidth = evaluate.getEvaluatedFloatDefault(
			self.lighteningHoleMarginOverRimWidth, 'lighteningHoleMarginOverRimWidth', xmlElement)
		self.lighteningHoleMinimumRadius = evaluate.getEvaluatedFloatDefault(
			self.lighteningHoleMinimumRadius, 'lighteningHoleMinimumRadius', xmlElement)
		self.moveType = evaluate.getEvaluatedStringDefault(self.moveType, 'moveType', xmlElement)
		self.operatingAngle = evaluate.getEvaluatedFloatDefault(self.operatingAngle, 'operatingAngle', xmlElement)
		self.pinionCollarThicknessOverThickness = evaluate.getEvaluatedFloatDefault(
			self.pinionCollarThicknessOverThickness, 'pinionCollarThicknessOverThickness', xmlElement)
		self.pinionThickness = evaluate.getEvaluatedFloatDefault(self.pinionThickness, 'pinionThickness', xmlElement)
		self.pinionThickness = evaluate.getEvaluatedFloatDefault(self.pinionThickness, 'thickness', xmlElement)
		self.pitchRadius = evaluate.getEvaluatedFloatDefault(self.pitchRadius, 'pitchRadius', xmlElement)
		self.plateClearanceOverThickness = evaluate.getEvaluatedFloatDefault(
			self.plateClearanceOverThickness, 'plateClearanceOverThickness', xmlElement)
		self.plateThicknessOverThickness = evaluate.getEvaluatedFloatDefault(
			self.plateThicknessOverThickness, 'plateThicknessOverThickness', xmlElement)
		self.pressureAngle = evaluate.getEvaluatedFloatDefault(self.pressureAngle, 'pressureAngle', xmlElement)
		self.profileSurfaces = evaluate.getEvaluatedIntDefault(self.profileSurfaces, 'profileSurfaces', xmlElement)
		self.rackHoleRadiusOverWidth = evaluate.getEvaluatedFloatDefault(
			self.rackHoleRadiusOverWidth, 'rackHoleRadiusOverWidth', xmlElement)
		self.rackHoleBelowOverWidth = evaluate.getEvaluatedFloatDefault(
			self.rackHoleBelowOverWidth, 'rackHoleBelowOverWidth', xmlElement)
		self.rackHoleStep = evaluate.getEvaluatedFloatDefault(
			self.rackHoleStep, 'rackHoleStep', xmlElement)
		self.rackLengthOverRadius = evaluate.getEvaluatedFloatDefault(self.rackLengthOverRadius, 'rackLengthOverRadius', xmlElement)
		self.rackWidthOverThickness = evaluate.getEvaluatedFloatDefault(
			self.rackWidthOverThickness, 'rackWidthOverThickness', xmlElement)
		self.rimWidthOverRadius = evaluate.getEvaluatedFloatDefault(self.rimWidthOverRadius, 'rimWidthOverRadius', xmlElement)
		self.rootBevelOverClearance = evaluate.getEvaluatedFloatDefault(
			self.rootBevelOverClearance, 'rootBevelOverClearance', xmlElement)
		self.shaftDepthBottomOverRadius = evaluate.getEvaluatedFloatDefault(
			self.shaftDepthBottomOverRadius, 'shaftDepthBottomOverRadius', xmlElement)
		self.shaftDepthTopOverRadius = evaluate.getEvaluatedFloatDefault(
			self.shaftDepthTopOverRadius, 'shaftDepthOverRadius', xmlElement)
		self.shaftDepthTopOverRadius = evaluate.getEvaluatedFloatDefault(
			self.shaftDepthTopOverRadius, 'shaftDepthTopOverRadius', xmlElement)
		self.shaftRadiusOverPitchRadius = evaluate.getEvaluatedFloatDefault(
			self.shaftRadiusOverPitchRadius, 'shaftRadiusOverPitchRadius', xmlElement)
		self.shaftSides = evaluate.getEvaluatedIntDefault(self.shaftSides, 'shaftSides', xmlElement)
		self.teethPinion = evaluate.getEvaluatedIntDefault(self.teethPinion, 'teeth', xmlElement)
		self.teethPinion = evaluate.getEvaluatedIntDefault(self.teethPinion, 'teethPinion', xmlElement)
		self.teethGear = evaluate.getEvaluatedIntDefault(self.teethGear, 'teethGear', xmlElement)
		self.tipBevelOverClearance = evaluate.getEvaluatedFloatDefault(self.tipBevelOverClearance, 'tipBevelOverClearance', xmlElement)
		self.toothWidthMultiplier = evaluate.getEvaluatedFloatDefault(self.toothWidthMultiplier, 'toothWidthMultiplier', xmlElement)
		# Set absolute variables.
		self.wavelength = self.pitchRadius * 2.0 * math.pi / float(self.teethPinion)
		if self.clearance == None:
			self.clearance = self.wavelength * self.clearanceOverWavelength
		self.clearance = evaluate.getEvaluatedFloatDefault(self.clearance, 'clearance', xmlElement)
		if self.gearCollarThickness == None:
			self.gearCollarThickness = self.pinionThickness * self.gearCollarThicknessOverThickness
		self.gearCollarThickness = evaluate.getEvaluatedFloatDefault(self.gearCollarThickness, 'gearCollarThickness', xmlElement)
		if self.gearHolePaths == None:
			self.gearHolePaths = evaluate.getTransformedPathsByKey('gearHolePaths', xmlElement)
		if self.pinionCollarThickness == None:
			self.pinionCollarThickness = self.pinionThickness * self.pinionCollarThicknessOverThickness
		self.pinionCollarThickness = evaluate.getEvaluatedFloatDefault(self.pinionCollarThickness, 'pinionCollarThickness', xmlElement)
		if self.plateThickness == None:
			self.plateThickness = self.pinionThickness * self.plateThicknessOverThickness
		self.plateThickness = evaluate.getEvaluatedFloatDefault(self.plateThickness, 'plateThickness', xmlElement)
		if self.plateClearance == None:
			self.plateClearance = self.plateThickness * self.plateClearanceOverThickness
		self.plateClearance = evaluate.getEvaluatedFloatDefault(self.plateClearance, 'plateClearance', xmlElement)
		if self.rackLength == None:
			self.rackLength = self.pitchRadius * self.rackLengthOverRadius
		self.rackLength = evaluate.getEvaluatedFloatDefault(self.rackLength, 'rackLength', xmlElement)
		self.rackDemilength = 0.5 * self.rackLength
		if self.rackWidth == None:
			self.rackWidth = self.pinionThickness * self.rackWidthOverThickness
		self.rackWidth = evaluate.getEvaluatedFloatDefault(self.rackWidth, 'rackWidth', xmlElement)
		if self.rimWidth == None:
			self.rimWidth = self.pitchRadius * self.rimWidthOverRadius
		self.rimWidth = evaluate.getEvaluatedFloatDefault(self.rimWidth, 'rimWidth', xmlElement)
		if self.rootBevel == None:
			self.rootBevel = self.clearance * self.rootBevelOverClearance
		self.rootBevel = evaluate.getEvaluatedFloatDefault(self.rootBevel, 'rootBevel', xmlElement)
		if self.shaftRadius == None:
			self.shaftRadius = self.pitchRadius * self.shaftRadiusOverPitchRadius
		self.shaftRadius = evaluate.getEvaluatedFloatDefault(self.shaftRadius, 'shaftRadius', xmlElement)
		if self.collarWidth == None:
			self.collarWidth = self.shaftRadius * self.collarWidthOverShaftRadius
		self.collarWidth = evaluate.getEvaluatedFloatDefault(self.collarWidth, 'collarWidth', xmlElement)
		if self.keywayRadius == None:
			self.keywayRadius = self.shaftRadius * self.keywayRadiusOverRadius
		self.keywayRadius = lineation.getFloatByPrefixBeginEnd('keywayRadius', 'keywayDiameter', self.keywayRadius, xmlElement)
		if self.lighteningHoleMargin == None:
			self.lighteningHoleMargin = self.rimWidth * self.lighteningHoleMarginOverRimWidth
		self.lighteningHoleMargin = evaluate.getEvaluatedFloatDefault(
			self.lighteningHoleMargin, 'lighteningHoleMargin', xmlElement)
		if self.rackHoleBelow == None:
			self.rackHoleBelow = self.rackWidth * self.rackHoleBelowOverWidth
		self.rackHoleBelow = evaluate.getEvaluatedFloatDefault(self.rackHoleBelow, 'rackHoleBelow', xmlElement)
		if self.rackHoleRadius == None:
			self.rackHoleRadius = self.rackWidth * self.rackHoleRadiusOverWidth
		self.rackHoleRadius = lineation.getFloatByPrefixBeginEnd('rackHoleRadius', 'rackHoleDiameter', self.rackHoleRadius, xmlElement)
		if self.rackHoleStep == None:
			self.rackHoleStep = self.rackWidth * self.rackHoleStepOverWidth
		self.rackHoleStep = evaluate.getEvaluatedFloatDefault(self.rackHoleStep, 'rackHoleStep', xmlElement)
		if self.shaftDepthBottom == None:
			self.shaftDepthBottom = self.shaftRadius * self.shaftDepthBottomOverRadius
		self.shaftDepthBottom = evaluate.getEvaluatedFloatDefault(self.shaftDepthBottom, 'shaftDepthBottom', xmlElement)
		if self.shaftDepthTop == None:
			self.shaftDepthTop = self.shaftRadius * self.shaftDepthTopOverRadius
		self.shaftDepthTop = evaluate.getEvaluatedFloatDefault(self.shaftDepthTop, 'shaftDepth', xmlElement)
		self.shaftDepthTop = evaluate.getEvaluatedFloatDefault(self.shaftDepthTop, 'shaftDepthTop', xmlElement)
		if self.shaftPath == None:
			self.shaftPath = evaluate.getTransformedPathByKey('shaftPath', xmlElement)
		if len(self.shaftPath) < 3:
			self.shaftPath = shaft.getShaftPath(self.shaftDepthBottom, self.shaftDepthTop, self.shaftRadius, -self.shaftSides)
		if self.tipBevel == None:
			self.tipBevel = self.clearance * self.tipBevelOverClearance
		self.tipBevel = evaluate.getEvaluatedFloatDefault(self.tipBevel, 'tipBevel', xmlElement)
		# Set derived values.
		self.helixRadian = math.radians(self.helixAngle)
		if self.teethGear <= 0.0 and self.operatingAngle != 180.0:
			print('Warning, an operatingAngle other than 180 degrees can only work with a positive number of gear teeth.')
			print('Therefore the operatingAngle will be reset to 180 degrees.')
			self.operatingAngle = 180.0
		self.tanHelix = math.tan(self.helixRadian)
		self.helixThickness = self.tanHelix * self.pinionThickness
		self.operatingRadian = math.radians(self.operatingAngle)
		self.pitchRadiusGear = self.pitchRadius * float(self.teethGear) / float(self.teethPinion)
		self.pressureRadian = math.radians(self.pressureAngle)
		self.cosPressure = math.cos(self.pressureRadian)
		self.sinPressure = math.sin(self.pressureRadian)
		self.tanPressure = math.tan(self.pressureRadian)
		self.halfWavelength = 0.5 * self.wavelength
		if self.helixPath == None:
			self.helixPath = euclidean.getComplexPath(evaluate.getTransformedPathByKey('helixPath', xmlElement))
		if len(self.helixPath) < 1:
			self.helixPath = getHelixComplexPath(self, xmlElement)
		self.quarterWavelength = 0.25 * self.wavelength
		self.shaftRimRadius = self.shaftRadius + self.collarWidth
		self.toothProfileHalf = getToothProfileHalfCylinder(self, self.pitchRadius)
		self.toothProfileHalf = getWidthMultipliedPath(self.toothProfileHalf, self.toothWidthMultiplier)
		self.addendum = self.toothProfileHalf[-1].imag - self.pitchRadius
		self.dedendum = abs(self.toothProfileHalf[-1]) - self.pitchRadius + self.clearance
		self.pinionToothProfile = getToothProfileCylinderByProfile(self, self.pitchRadius, self.teethPinion, self.toothProfileHalf)
		self.xmlElement = xmlElement
Пример #8
0
	def __init__(self, xmlElement):
		'Set defaults.'
		self.clearanceOverWavelength = evaluate.getEvaluatedFloatDefault(0.1, 'clearanceOverWavelength', xmlElement)
		self.collarWidthOverShaftRadius = evaluate.getEvaluatedFloatDefault(1.0, 'collarWidthOverShaftRadius', xmlElement)
		self.copyShallow = xmlElement.getCopyShallow()
		self.creationType = evaluate.getEvaluatedStringDefault('both', 'creationType', xmlElement)
		self.creationTypeMenuRadioStrings = 'both first second'.split()
		self.gearCollarThicknessOverThickness = evaluate.getEvaluatedFloatDefault(
			0.0, 'gearCollarThicknessOverThickness', xmlElement)
		self.helixAngle = evaluate.getEvaluatedFloatDefault(0.0, 'helixAngle', xmlElement)
		self.helixType = evaluate.getEvaluatedStringDefault('basic', 'helixType', xmlElement)
		self.helixTypeMenuRadioStrings = 'basic herringbone parabolic'.split()
		self.keywayRadiusOverRadius = evaluate.getEvaluatedFloatDefault(0.5, 'keywayRadiusOverRadius', xmlElement)
		self.lighteningHoleMarginOverRimWidth = evaluate.getEvaluatedFloatDefault(
			1.0, 'lighteningHoleMarginOverRimWidth', xmlElement)
		self.lighteningHoleMinimumRadius = evaluate.getEvaluatedFloatDefault(
			1.0, 'lighteningHoleMinimumRadius', xmlElement)
		self.moveType = evaluate.getEvaluatedStringDefault('separate', 'moveType', xmlElement)
		self.moveTypeMenuRadioStrings = 'mesh none separate vertical'.split()
		self.operatingAngle = evaluate.getEvaluatedFloatDefault(180.0, 'operatingAngle', xmlElement)
		self.pinionCollarThicknessOverThickness = evaluate.getEvaluatedFloatDefault(
			0.0, 'pinionCollarThicknessOverThickness', xmlElement)
		self.pinionThickness = evaluate.getEvaluatedFloatDefault(10.0, 'pinionThickness', xmlElement)
		self.pinionThickness = evaluate.getEvaluatedFloatDefault(self.pinionThickness, 'thickness', xmlElement)
		self.plateClearanceOverThickness = evaluate.getEvaluatedFloatDefault(0.2, 'plateClearanceOverThickness', xmlElement)
		self.plateThicknessOverThickness = evaluate.getEvaluatedFloatDefault(0.5, 'plateThicknessOverThickness', xmlElement)
		self.pressureAngle = evaluate.getEvaluatedFloatDefault(20.0, 'pressureAngle', xmlElement)
		self.profileSurfaces = evaluate.getEvaluatedIntDefault(11, 'profileSurfaces', xmlElement)
		self.rackHoleRadiusOverWidth = evaluate.getEvaluatedFloatDefault(0.0, 'rackHoleRadiusOverWidth', xmlElement)
		self.rackHoleBelowOverWidth = evaluate.getEvaluatedFloatDefault(0.6, 'rackHoleBelowOverWidth', xmlElement)
		self.rackHoleStepOverWidth = evaluate.getEvaluatedFloatDefault(1.0, 'rackHoleStepOverWidth', xmlElement)
		self.rackLengthOverRadius = evaluate.getEvaluatedFloatDefault(math.pi + math.pi, 'rackLengthOverRadius', xmlElement)
		self.rackWidthOverThickness = evaluate.getEvaluatedFloatDefault(1.0, 'rackWidthOverThickness', xmlElement)
		self.rimWidthOverRadius = evaluate.getEvaluatedFloatDefault(0.2, 'rimWidthOverRadius', xmlElement)
		self.rootBevelOverClearance = evaluate.getEvaluatedFloatDefault(0.5, 'rootBevelOverClearance', xmlElement)
		self.shaftDepthBottomOverRadius = evaluate.getEvaluatedFloatDefault(0.0, 'shaftDepthBottomOverRadius', xmlElement)
		self.shaftDepthTopOverRadius = evaluate.getEvaluatedFloatDefault(0.0, 'shaftDepthOverRadius', xmlElement)
		self.shaftDepthTopOverRadius = evaluate.getEvaluatedFloatDefault(
			self.shaftDepthTopOverRadius, 'shaftDepthTopOverRadius', xmlElement)
		self.shaftRadiusOverPitchRadius = evaluate.getEvaluatedFloatDefault(0.0, 'shaftRadiusOverPitchRadius', xmlElement)
		self.shaftSides = evaluate.getEvaluatedIntDefault(4, 'shaftSides', xmlElement)
		self.teethPinion = evaluate.getEvaluatedIntDefault(7, 'teeth', xmlElement)
		self.teethPinion = evaluate.getEvaluatedIntDefault(self.teethPinion, 'teethPinion', xmlElement)
		self.teethGear = evaluate.getEvaluatedIntDefault(17, 'teethGear', xmlElement)
		totalTeethOverPinionTeeth = float(self.teethGear + self.teethPinion) / float(self.teethPinion)
		self.centerDistance = evaluate.getEvaluatedFloatDefault(20.0 * totalTeethOverPinionTeeth, 'centerDistance', xmlElement)
		derivedPitchRadius = self.centerDistance / totalTeethOverPinionTeeth
		self.pitchRadius = evaluate.getEvaluatedFloatDefault(derivedPitchRadius, 'pitchRadius', xmlElement)
		self.tipBevelOverClearance = evaluate.getEvaluatedFloatDefault(0.1, 'tipBevelOverClearance', xmlElement)
		# tooth multiplied by 0.99999 to avoid an intersection
		self.toothWidthMultiplier = evaluate.getEvaluatedFloatDefault(0.99999, 'toothWidthMultiplier', xmlElement)
		# Set absolute variables.
		self.wavelength = self.pitchRadius * 2.0 * math.pi / float(self.teethPinion)
		self.clearance = self.wavelength * self.clearanceOverWavelength
		self.clearance = evaluate.getEvaluatedFloatDefault(self.clearance, 'clearance', xmlElement)
		self.gearCollarThickness = self.pinionThickness * self.gearCollarThicknessOverThickness
		self.gearCollarThickness = evaluate.getEvaluatedFloatDefault(self.gearCollarThickness, 'gearCollarThickness', xmlElement)
		self.gearHolePaths = evaluate.getTransformedPathsByKey([], 'gearHolePaths', xmlElement)
		self.pinionCollarThickness = self.pinionThickness * self.pinionCollarThicknessOverThickness
		self.pinionCollarThickness = evaluate.getEvaluatedFloatDefault(self.pinionCollarThickness, 'pinionCollarThickness', xmlElement)
		self.plateThickness = self.pinionThickness * self.plateThicknessOverThickness
		self.plateThickness = evaluate.getEvaluatedFloatDefault(self.plateThickness, 'plateThickness', xmlElement)
		self.plateClearance = self.plateThickness * self.plateClearanceOverThickness
		self.plateClearance = evaluate.getEvaluatedFloatDefault(self.plateClearance, 'plateClearance', xmlElement)
		self.rackLength = self.pitchRadius * self.rackLengthOverRadius
		self.rackLength = evaluate.getEvaluatedFloatDefault(self.rackLength, 'rackLength', xmlElement)
		self.rackDemilength = 0.5 * self.rackLength
		self.rackWidth = self.pinionThickness * self.rackWidthOverThickness
		self.rackWidth = evaluate.getEvaluatedFloatDefault(self.rackWidth, 'rackWidth', xmlElement)
		self.rimWidth = self.pitchRadius * self.rimWidthOverRadius
		self.rimWidth = evaluate.getEvaluatedFloatDefault(self.rimWidth, 'rimWidth', xmlElement)
		self.rootBevel = self.clearance * self.rootBevelOverClearance
		self.rootBevel = evaluate.getEvaluatedFloatDefault(self.rootBevel, 'rootBevel', xmlElement)
		self.shaftRadius = self.pitchRadius * self.shaftRadiusOverPitchRadius
		self.shaftRadius = evaluate.getEvaluatedFloatDefault(self.shaftRadius, 'shaftRadius', xmlElement)
		self.collarWidth = self.shaftRadius * self.collarWidthOverShaftRadius
		self.collarWidth = evaluate.getEvaluatedFloatDefault(self.collarWidth, 'collarWidth', xmlElement)
		self.keywayRadius = self.shaftRadius * self.keywayRadiusOverRadius
		self.keywayRadius = lineation.getFloatByPrefixBeginEnd('keywayRadius', 'keywayDiameter', self.keywayRadius, xmlElement)
		self.lighteningHoleMargin = self.rimWidth * self.lighteningHoleMarginOverRimWidth
		self.lighteningHoleMargin = evaluate.getEvaluatedFloatDefault(
			self.lighteningHoleMargin, 'lighteningHoleMargin', xmlElement)
		self.rackHoleBelow = self.rackWidth * self.rackHoleBelowOverWidth
		self.rackHoleBelow = evaluate.getEvaluatedFloatDefault(self.rackHoleBelow, 'rackHoleBelow', xmlElement)
		self.rackHoleRadius = self.rackWidth * self.rackHoleRadiusOverWidth
		self.rackHoleRadius = lineation.getFloatByPrefixBeginEnd('rackHoleRadius', 'rackHoleDiameter', self.rackHoleRadius, xmlElement)
		self.rackHoleStep = self.rackWidth * self.rackHoleStepOverWidth
		self.rackHoleStep = evaluate.getEvaluatedFloatDefault(self.rackHoleStep, 'rackHoleStep', xmlElement)
		self.shaftDepthBottom = self.shaftRadius * self.shaftDepthBottomOverRadius
		self.shaftDepthBottom = evaluate.getEvaluatedFloatDefault(self.shaftDepthBottom, 'shaftDepthBottom', xmlElement)
		self.shaftDepthTop = self.shaftRadius * self.shaftDepthTopOverRadius
		self.shaftDepthTop = evaluate.getEvaluatedFloatDefault(self.shaftDepthTop, 'shaftDepth', xmlElement)
		self.shaftDepthTop = evaluate.getEvaluatedFloatDefault(self.shaftDepthTop, 'shaftDepthTop', xmlElement)
		self.shaftPath = evaluate.getTransformedPathByKey([], 'shaftPath', xmlElement)
		if len(self.shaftPath) < 3:
			self.shaftPath = shaft.getShaftPath(self.shaftDepthBottom, self.shaftDepthTop, self.shaftRadius, -self.shaftSides)
		self.tipBevel = self.clearance * self.tipBevelOverClearance
		self.tipBevel = evaluate.getEvaluatedFloatDefault(self.tipBevel, 'tipBevel', xmlElement)
		# Set derived values.
		self.helixRadian = math.radians(self.helixAngle)
		if self.teethGear <= 0.0 and self.operatingAngle != 180.0:
			print('Warning, an operatingAngle other than 180 degrees can only work with a positive number of gear teeth.')
			print('Therefore the operatingAngle will be reset to 180 degrees.')
			self.operatingAngle = 180.0
		self.tanHelix = math.tan(self.helixRadian)
		self.helixThickness = self.tanHelix * self.pinionThickness
		self.operatingRadian = math.radians(self.operatingAngle)
		self.pitchRadiusGear = self.pitchRadius * float(self.teethGear) / float(self.teethPinion)
		self.pressureRadian = math.radians(self.pressureAngle)
		self.cosPressure = math.cos(self.pressureRadian)
		self.sinPressure = math.sin(self.pressureRadian)
		self.tanPressure = math.tan(self.pressureRadian)
		self.halfWavelength = 0.5 * self.wavelength
		self.helixPath = euclidean.getComplexPath(evaluate.getTransformedPathByKey([], 'helixPath', xmlElement))
		if len(self.helixPath) < 1:
			self.helixPath = getHelixComplexPath(self, xmlElement)
		self.quarterWavelength = 0.25 * self.wavelength
		self.shaftRimRadius = self.shaftRadius + self.collarWidth
		self.toothProfileHalf = getToothProfileHalfCylinder(self, self.pitchRadius)
		self.toothProfileHalf = getWidthMultipliedPath(self.toothProfileHalf, self.toothWidthMultiplier)
		self.addendum = self.toothProfileHalf[-1].imag - self.pitchRadius
		self.dedendum = abs(self.toothProfileHalf[-1]) - self.pitchRadius + self.clearance
		self.pinionToothProfile = getToothProfileCylinderByProfile(self, self.pitchRadius, self.teethPinion, self.toothProfileHalf)
		self.xmlElement = xmlElement