def addArc( self, afterCenterDifferenceAngle, afterPoint, beforeCenterSegment, beforePoint, center ): "Add arc segments to the filleted skein." absoluteDifferenceAngle = abs( afterCenterDifferenceAngle ) # steps = int( math.ceil( absoluteDifferenceAngle * 1.5 ) ) steps = int( math.ceil( min( absoluteDifferenceAngle * 1.5, absoluteDifferenceAngle * abs( beforeCenterSegment ) / self.curveSection ) ) ) stepPlaneAngle = euclidean.getWiddershinsUnitPolar( afterCenterDifferenceAngle / steps ) for step in xrange( 1, steps ): beforeCenterSegment = euclidean.getRoundZAxisByPlaneAngle( stepPlaneAngle, beforeCenterSegment ) arcPoint = center + beforeCenterSegment self.addLinearMovePoint( self.getCornerFeedRate(), arcPoint ) self.addLinearMovePoint( self.getCornerFeedRate(), afterPoint )
def addArc( self, afterCenterDifferenceAngle, afterPoint, beforeCenterSegment, beforePoint, center ): "Add arc segments to the filleted skein." absoluteDifferenceAngle = abs( afterCenterDifferenceAngle ) # steps = int( math.ceil( absoluteDifferenceAngle * 1.5 ) ) steps = int( math.ceil( min( absoluteDifferenceAngle * 1.5, absoluteDifferenceAngle * abs( beforeCenterSegment ) / self.curveSection ) ) ) stepPlaneAngle = euclidean.getWiddershinsUnitPolar( afterCenterDifferenceAngle / steps ) for step in xrange( 1, steps ): beforeCenterSegment = euclidean.getRoundZAxisByPlaneAngle( stepPlaneAngle, beforeCenterSegment ) arcPoint = center + beforeCenterSegment self.addLinearMovePoint( self.getCornerFeedRate(), arcPoint ) self.addLinearMovePoint( self.getCornerFeedRate(), afterPoint )
def helicalMove(self, isCounterclockwise, splitLine):
"Get statistics for a helical move."
if self.oldLocation == None:
return
location = self.getLocationSetFeedRateToSplitLine(splitLine)
location += self.oldLocation
center = self.oldLocation.copy()
indexOfR = gcodec.getIndexOfStartingWithSecond("R", splitLine)
if indexOfR > 0:
radius = gcodec.getDoubleAfterFirstLetter(splitLine[indexOfR])
halfLocationMinusOld = location - self.oldLocation
halfLocationMinusOld *= 0.5
halfLocationMinusOldLength = halfLocationMinusOld.magnitude()
centerMidpointDistanceSquared = radius * radius - halfLocationMinusOldLength * halfLocationMinusOldLength
centerMidpointDistance = math.sqrt(
max(centerMidpointDistanceSquared, 0.0))
centerMinusMidpoint = euclidean.getRotatedWiddershinsQuarterAroundZAxis(
halfLocationMinusOld)
centerMinusMidpoint.normalize()
centerMinusMidpoint *= centerMidpointDistance
if isCounterclockwise:
center.setToVector3(halfLocationMinusOld + centerMinusMidpoint)
else:
center.setToVector3(halfLocationMinusOld - centerMinusMidpoint)
else:
center.x = gcodec.getDoubleForLetter("I", splitLine)
center.y = gcodec.getDoubleForLetter("J", splitLine)
curveSection = 0.5
center += self.oldLocation
afterCenterSegment = location - center
beforeCenterSegment = self.oldLocation - center
afterCenterDifferenceAngle = euclidean.getAngleAroundZAxisDifference(
afterCenterSegment, beforeCenterSegment)
absoluteDifferenceAngle = abs(afterCenterDifferenceAngle)
steps = int(
round(0.5 + max(
absoluteDifferenceAngle * 2.4,
absoluteDifferenceAngle * beforeCenterSegment.magnitude() /
curveSection)))
stepPlaneAngle = euclidean.getWiddershinsUnitPolar(
afterCenterDifferenceAngle / steps)
zIncrement = (afterCenterSegment.z -
beforeCenterSegment.z) / float(steps)
for step in xrange(1, steps):
beforeCenterSegment = euclidean.getRoundZAxisByPlaneAngle(
stepPlaneAngle, beforeCenterSegment)
beforeCenterSegment.z += zIncrement
arcPoint = center + beforeCenterSegment
self.addToPath(arcPoint)
self.addToPath(location)
def helicalMove(self, isCounterclockwise, splitLine):
"Get statistics for a helical move."
if self.oldLocation == None:
return
location = self.getLocationSetFeedRateToSplitLine(splitLine)
location += self.oldLocation
center = self.oldLocation.copy()
indexOfR = gcodec.indexOfStartingWithSecond("R", splitLine)
if indexOfR > 0:
radius = gcodec.getDoubleAfterFirstLetter(splitLine[indexOfR])
halfLocationMinusOld = location - self.oldLocation
halfLocationMinusOld *= 0.5
halfLocationMinusOldLength = halfLocationMinusOld.magnitude()
centerMidpointDistanceSquared = radius * radius - halfLocationMinusOldLength * halfLocationMinusOldLength
centerMidpointDistance = math.sqrt(max(centerMidpointDistanceSquared, 0.0))
centerMinusMidpoint = euclidean.getRotatedWiddershinsQuarterAroundZAxis(halfLocationMinusOld)
centerMinusMidpoint.normalize()
centerMinusMidpoint *= centerMidpointDistance
if isCounterclockwise:
center.setToVector3(halfLocationMinusOld + centerMinusMidpoint)
else:
center.setToVector3(halfLocationMinusOld - centerMinusMidpoint)
else:
center.x = gcodec.getDoubleForLetter("I", splitLine)
center.y = gcodec.getDoubleForLetter("J", splitLine)
curveSection = 0.5
center += self.oldLocation
afterCenterSegment = location - center
beforeCenterSegment = self.oldLocation - center
afterCenterDifferenceAngle = euclidean.getAngleAroundZAxisDifference(afterCenterSegment, beforeCenterSegment)
absoluteDifferenceAngle = abs(afterCenterDifferenceAngle)
steps = int(
round(
0.5
+ max(
absoluteDifferenceAngle * 2.4,
absoluteDifferenceAngle * beforeCenterSegment.magnitude() / curveSection,
)
)
)
stepPlaneAngle = euclidean.getWiddershinsUnitPolar(afterCenterDifferenceAngle / steps)
zIncrement = (afterCenterSegment.z - beforeCenterSegment.z) / float(steps)
for step in xrange(1, steps):
beforeCenterSegment = euclidean.getRoundZAxisByPlaneAngle(stepPlaneAngle, beforeCenterSegment)
beforeCenterSegment.z += zIncrement
arcPoint = center + beforeCenterSegment
self.addToPath(arcPoint)
self.addToPath(location)