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 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 getManipulatedPaths(close, loop, prefix, sideLength, xmlElement):
"Get path with overhangs removed or filled in."
if len(loop) < 3:
print(
'Warning, loop has less than three sides in getManipulatedPaths in overhang for:'
)
print(xmlElement)
return [loop]
overhangAngle = evaluate.getOverhangSupportAngle(xmlElement)
overhangPlaneAngle = euclidean.getWiddershinsUnitPolar(0.5 * math.pi -
overhangAngle)
overhangVerticalAngle = math.radians(
evaluate.getEvaluatedFloatDefault(0.0, prefix + 'inclination',
xmlElement))
if overhangVerticalAngle != 0.0:
overhangVerticalCosine = abs(math.cos(overhangVerticalAngle))
if overhangVerticalCosine == 0.0:
return [loop]
imaginaryTimesCosine = overhangPlaneAngle.imag * overhangVerticalCosine
overhangPlaneAngle = euclidean.getNormalized(
complex(overhangPlaneAngle.real, imaginaryTimesCosine))
alongAway = AlongAway(loop, overhangPlaneAngle)
if euclidean.getIsWiddershinsByVector3(loop):
alterWiddershinsSupportedPath(alongAway, close)
else:
alterClockwiseSupportedPath(alongAway, xmlElement)
return [
euclidean.getLoopWithoutCloseSequentialPoints(close, alongAway.loop)
]
def getManipulatedPaths(close, loop, prefix, sideLength, xmlElement):
"Get path with overhangs removed or filled in."
if len(loop) < 3:
print('Warning, loop has less than three sides in getManipulatedPaths in overhang for:')
print(xmlElement)
return [loop]
overhangAngle = evaluate.getOverhangSupportAngle(xmlElement)
overhangPlaneAngle = euclidean.getWiddershinsUnitPolar( 0.5 * math.pi - overhangAngle )
overhangVerticalAngle = math.radians( evaluate.getEvaluatedFloatDefault(0.0, prefix + 'inclination', xmlElement ) )
if overhangVerticalAngle != 0.0:
overhangVerticalCosine = abs( math.cos( overhangVerticalAngle ) )
if overhangVerticalCosine == 0.0:
return [loop]
imaginaryTimesCosine = overhangPlaneAngle.imag * overhangVerticalCosine
overhangPlaneAngle = euclidean.getNormalized( complex( overhangPlaneAngle.real, imaginaryTimesCosine ) )
alongAway = AlongAway( loop, overhangPlaneAngle )
if euclidean.getIsWiddershinsByVector3(loop):
alterWiddershinsSupportedPath( alongAway, close )
else:
alterClockwiseSupportedPath( alongAway, xmlElement )
return [ euclidean.getLoopWithoutCloseSequentialPoints( close, alongAway.loop ) ]