def getTeardropPath(inclination, radius, xmlElement):
"Get vector3 teardrop path."
teardropSides = evaluate.getSidesMinimumThreeBasedOnPrecision(
radius, xmlElement)
sideAngle = 2.0 * math.pi / float(teardropSides)
overhangAngle = evaluate.getOverhangSupportAngle(xmlElement)
overhangPlaneAngle = euclidean.getWiddershinsUnitPolar(overhangAngle)
overhangAngle = math.atan2(overhangPlaneAngle.imag,
overhangPlaneAngle.real * math.cos(inclination))
tanOverhangAngle = math.tan(overhangAngle)
beginAngle = overhangAngle
beginMinusEndAngle = math.pi + overhangAngle + overhangAngle
withinSides = int(math.ceil(beginMinusEndAngle / sideAngle))
withinSideAngle = -beginMinusEndAngle / float(withinSides)
teardropPath = []
for side in xrange(withinSides + 1):
unitPolar = euclidean.getWiddershinsUnitPolar(beginAngle)
teardropPath.append(unitPolar * radius)
beginAngle += withinSideAngle
firstPoint = teardropPath[0]
overhangSpan = evaluate.getOverhangSpan(xmlElement)
if overhangSpan <= 0.0:
teardropPath.append(
complex(0.0, firstPoint.imag + firstPoint.real / tanOverhangAngle))
else:
deltaX = (radius - firstPoint.imag) * tanOverhangAngle
overhangPoint = complex(firstPoint.real - deltaX, radius)
remainingDeltaX = max(0.0, overhangPoint.real - 0.5 * overhangSpan)
overhangPoint += complex(-remainingDeltaX,
remainingDeltaX / tanOverhangAngle)
teardropPath.append(complex(-overhangPoint.real, overhangPoint.imag))
teardropPath.append(overhangPoint)
return euclidean.getVector3Path(teardropPath)
def alterClockwiseSupportedPath( alongAway, xmlElement ): "Get clockwise path with overhangs carved out." alongAway.bottomPoints = [] alongAway.overhangSpan = evaluate.getOverhangSpan(xmlElement) maximumY = - 987654321.0 minimumYPointIndex = 0 for pointIndex in xrange( len( alongAway.loop ) ): point = alongAway.loop[pointIndex] if point.y < alongAway.loop[ minimumYPointIndex ].y: minimumYPointIndex = pointIndex maximumY = max( maximumY, point.y ) alongAway.maximumYPlus = 2.0 * ( maximumY - alongAway.loop[ minimumYPointIndex ].y ) alongAway.loop = euclidean.getAroundLoop( minimumYPointIndex, minimumYPointIndex, alongAway.loop ) overhangClockwise = OverhangClockwise( alongAway ) alongAway.unsupportedPointIndexes = [] oldUnsupportedPointIndexesLength = - 987654321.0 while len( alongAway.unsupportedPointIndexes ) > oldUnsupportedPointIndexesLength: oldUnsupportedPointIndexesLength = len( alongAway.unsupportedPointIndexes ) addUnsupportedPointIndexes( alongAway ) for pointIndex in alongAway.unsupportedPointIndexes: point = alongAway.loop[pointIndex] point.y -= alongAway.maximumYPlus alongAway.unsupportedPointIndexes.sort() alongAway.unsupportedPointIndexLists = [] oldUnsupportedPointIndex = - 987654321.0 unsupportedPointIndexList = None for unsupportedPointIndex in alongAway.unsupportedPointIndexes: if unsupportedPointIndex > oldUnsupportedPointIndex + 1: unsupportedPointIndexList = [] alongAway.unsupportedPointIndexLists.append( unsupportedPointIndexList ) oldUnsupportedPointIndex = unsupportedPointIndex unsupportedPointIndexList.append( unsupportedPointIndex ) alongAway.unsupportedPointIndexLists.reverse() for unsupportedPointIndexList in alongAway.unsupportedPointIndexLists: overhangClockwise.alterLoop( unsupportedPointIndexList )
def getTeardropPath(inclination, radius, xmlElement): "Get vector3 teardrop path." teardropSides = evaluate.getSidesMinimumThreeBasedOnPrecision(radius, xmlElement) sideAngle = 2.0 * math.pi / float(teardropSides) overhangAngle = evaluate.getOverhangSupportAngle(xmlElement) overhangPlaneAngle = euclidean.getWiddershinsUnitPolar(overhangAngle) overhangAngle = math.atan2(overhangPlaneAngle.imag, overhangPlaneAngle.real * math.cos(inclination)) tanOverhangAngle = math.tan(overhangAngle) beginAngle = overhangAngle beginMinusEndAngle = math.pi + overhangAngle + overhangAngle withinSides = int(math.ceil(beginMinusEndAngle / sideAngle)) withinSideAngle = -beginMinusEndAngle / float(withinSides) teardropPath = [] for side in xrange(withinSides + 1): unitPolar = euclidean.getWiddershinsUnitPolar(beginAngle) teardropPath.append(unitPolar * radius) beginAngle += withinSideAngle firstPoint = teardropPath[0] overhangSpan = evaluate.getOverhangSpan(xmlElement) if overhangSpan <= 0.0: teardropPath.append(complex(0.0, firstPoint.imag + firstPoint.real / tanOverhangAngle)) else: deltaX = (radius - firstPoint.imag) * tanOverhangAngle overhangPoint = complex(firstPoint.real - deltaX, radius) remainingDeltaX = max(0.0, overhangPoint.real - 0.5 * overhangSpan ) overhangPoint += complex(-remainingDeltaX, remainingDeltaX / tanOverhangAngle) teardropPath.append(complex(-overhangPoint.real, overhangPoint.imag)) teardropPath.append(overhangPoint) return euclidean.getVector3Path(teardropPath)
def alterClockwiseSupportedPath( alongAway, xmlElement ): "Get clockwise path with overhangs carved out." alongAway.bottomPoints = [] alongAway.overhangSpan = evaluate.getOverhangSpan(xmlElement) maximumY = - 987654321.0 minimumYPointIndex = 0 for pointIndex in xrange( len( alongAway.loop ) ): point = alongAway.loop[pointIndex] if point.y < alongAway.loop[ minimumYPointIndex ].y: minimumYPointIndex = pointIndex maximumY = max( maximumY, point.y ) alongAway.maximumYPlus = 2.0 * ( maximumY - alongAway.loop[ minimumYPointIndex ].y ) alongAway.loop = euclidean.getAroundLoop( minimumYPointIndex, minimumYPointIndex, alongAway.loop ) overhangClockwise = OverhangClockwise( alongAway ) alongAway.unsupportedPointIndexes = [] oldUnsupportedPointIndexesLength = - 987654321.0 while len( alongAway.unsupportedPointIndexes ) > oldUnsupportedPointIndexesLength: oldUnsupportedPointIndexesLength = len( alongAway.unsupportedPointIndexes ) addUnsupportedPointIndexes( alongAway ) for pointIndex in alongAway.unsupportedPointIndexes: point = alongAway.loop[pointIndex] point.y -= alongAway.maximumYPlus alongAway.unsupportedPointIndexes.sort() alongAway.unsupportedPointIndexLists = [] oldUnsupportedPointIndex = - 987654321.0 unsupportedPointIndexList = None for unsupportedPointIndex in alongAway.unsupportedPointIndexes: if unsupportedPointIndex > oldUnsupportedPointIndex + 1: unsupportedPointIndexList = [] alongAway.unsupportedPointIndexLists.append( unsupportedPointIndexList ) oldUnsupportedPointIndex = unsupportedPointIndex unsupportedPointIndexList.append( unsupportedPointIndex ) alongAway.unsupportedPointIndexLists.reverse() for unsupportedPointIndexList in alongAway.unsupportedPointIndexLists: overhangClockwise.alterLoop( unsupportedPointIndexList )