def transform(self, *args):
"""
Transform a rectangle from scale to paint coordinates
.. py:method:: transform(scalar)
:param float scalar: Scalar
.. py:method:: transform(xMap, yMap, rect)
Transform a rectangle from scale to paint coordinates
:param qwt.scale_map.QwtScaleMap xMap: X map
:param qwt.scale_map.QwtScaleMap yMap: Y map
:param QRectF rect: Rectangle in paint coordinates
.. py:method:: transform(xMap, yMap, pos)
Transform a point from scale to paint coordinates
:param qwt.scale_map.QwtScaleMap xMap: X map
:param qwt.scale_map.QwtScaleMap yMap: Y map
:param QPointF pos: Position in scale coordinates
Scalar: scalemap.transform(scalar)
Point (QPointF): scalemap.transform(xMap, yMap, pos)
Rectangle (QRectF): scalemap.transform(xMap, yMap, rect)
.. seealso::
:py:meth:`invTransform()`
"""
if len(args) == 1:
# Scalar transform
return self.transform_scalar(args[0])
elif len(args) == 3 and isinstance(args[2], QPointF):
xMap, yMap, pos = args
return QPointF(xMap.transform(pos.x()), yMap.transform(pos.y()))
elif len(args) == 3 and isinstance(args[2], QRectF):
xMap, yMap, rect = args
x1 = xMap.transform(rect.left())
x2 = xMap.transform(rect.right())
y1 = yMap.transform(rect.top())
y2 = yMap.transform(rect.bottom())
if x2 < x1:
x1, x2 = x2, x1
if y2 < y1:
y1, y2 = y2, y1
if qwtFuzzyCompare(x1, 0., x2 - x1) == 0:
x1 = 0.
if qwtFuzzyCompare(x2, 0., x2 - x1) == 0:
x2 = 0.
if qwtFuzzyCompare(y1, 0., y2 - y1) == 0:
y1 = 0.
if qwtFuzzyCompare(y2, 0., y2 - y1) == 0:
y2 = 0.
return QRectF(x1, y1, x2 - x1 + 1, y2 - y1 + 1)
else:
raise TypeError("%s().transform() takes 1 or 3 argument(s) (%s "\
"given)" % (self.__class__.__name__, len(args)))
def transform(self, *args):
"""Transform from scale to paint coordinates
Scalar: scalemap.transform(scalar)
Point (QPointF): scalemap.transform(xMap, yMap, pos)
Rectangle (QRectF): scalemap.transform(xMap, yMap, rect)
"""
if len(args) == 1:
# Scalar transform
return self.transform_scalar(args[0])
elif len(args) == 3 and isinstance(args[2], QPointF):
xMap, yMap, pos = args
return QPointF(xMap.transform(pos.x()), yMap.transform(pos.y()))
elif len(args) == 3 and isinstance(args[2], QRectF):
xMap, yMap, rect = args
x1 = xMap.transform(rect.left())
x2 = xMap.transform(rect.right())
y1 = yMap.transform(rect.top())
y2 = yMap.transform(rect.bottom())
if x2 < x1:
x1, x2 = x2, x1
if y2 < y1:
y1, y2 = y2, y1
if qwtFuzzyCompare(x1, 0., x2 - x1) == 0:
x1 = 0.
if qwtFuzzyCompare(x2, 0., x2 - x1) == 0:
x2 = 0.
if qwtFuzzyCompare(y1, 0., y2 - y1) == 0:
y1 = 0.
if qwtFuzzyCompare(y2, 0., y2 - y1) == 0:
y2 = 0.
return QRectF(x1, y1, x2 - x1 + 1, y2 - y1 + 1)
else:
raise TypeError("%s().transform() takes 1 or 3 argument(s) (%s "\
"given)" % (self.__class__.__name__, len(args)))
def contains(self, interval, value):
if not interval.isValid():
return False
elif qwtFuzzyCompare(value, interval.minValue(), interval.width()) < 0:
return False
elif qwtFuzzyCompare(value, interval.maxValue(), interval.width()) > 0:
return False
else:
return True
def contains(self, interval, value):
if not interval.isValid():
return False
elif qwtFuzzyCompare(value, interval.minValue(), interval.width()) < 0:
return False
elif qwtFuzzyCompare(value, interval.maxValue(), interval.width()) > 0:
return False
else:
return True
def align(self, interval, stepSize):
intv = qwtLogInterval(self.base(), interval)
x1 = floorEps(intv.minValue(), stepSize)
if qwtFuzzyCompare(interval.minValue(), x1, stepSize) == 0:
x1 = interval.minValue()
x2 = ceilEps(intv.maxValue(), stepSize)
if qwtFuzzyCompare(interval.maxValue(), x2, stepSize) == 0:
x2 = interval.maxValue()
return qwtPowInterval(self.base(), QwtInterval(x1, x2))
def align(self, interval, stepSize):
x1 = interval.minValue()
x2 = interval.maxValue()
if -DBL_MAX + stepSize <= x1:
x = floorEps(x1, stepSize)
if qwtFuzzyCompare(x1, x, stepSize) != 0:
x1 = x
if DBL_MAX - stepSize >= x2:
x = ceilEps(x2, stepSize)
if qwtFuzzyCompare(x2, x, stepSize) != 0:
x2 = x
return QwtInterval(x1, x2)
def align(self, interval, stepSize):
x1 = interval.minValue()
x2 = interval.maxValue()
if -DBL_MAX+stepSize <= x1:
x = floorEps(x1, stepSize)
if qwtFuzzyCompare(x1, x, stepSize) != 0:
x1 = x
if DBL_MAX-stepSize >= x2:
x = ceilEps(x2, stepSize)
if qwtFuzzyCompare(x2, x, stepSize) != 0:
x2 = x
return QwtInterval(x1, x2)
def align(self, interval, stepSize):
intv = qwtLogInterval(self.base(), interval)
x1 = floorEps(intv.minValue(), stepSize)
if qwtFuzzyCompare(interval.minValue(), x1, stepSize) == 0:
x1 = interval.minValue()
x2 = ceilEps(intv.maxValue(), stepSize)
if qwtFuzzyCompare(interval.maxValue(), x2, stepSize) == 0:
x2 = interval.maxValue()
return qwtPowInterval(self.base(), QwtInterval(x1, x2))
def contains(self, interval, value):
"""
Check if an interval "contains" a value
:param float intervalSize: Interval size
:param float value: Value
:return: True, when the value is inside the interval
"""
if not interval.isValid():
return False
elif qwtFuzzyCompare(value, interval.minValue(), interval.width()) < 0:
return False
elif qwtFuzzyCompare(value, interval.maxValue(), interval.width()) > 0:
return False
else:
return True
def contains(self, interval, value):
"""
Check if an interval "contains" a value
:param float intervalSize: Interval size
:param float value: Value
:return: True, when the value is inside the interval
"""
if not interval.isValid():
return False
elif qwtFuzzyCompare(value, interval.minValue(), interval.width()) < 0:
return False
elif qwtFuzzyCompare(value, interval.maxValue(), interval.width()) > 0:
return False
else:
return True
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
"""
Calculate minor ticks for an interval
:param list ticks: Major ticks (returned)
:param int maxMinorSteps: Maximum number of minor steps
:param float stepSize: Step size
"""
minStep = qwtStepSize(stepSize, maxMinorSteps, self.base())
if minStep == 0.:
return
numTicks = int(np.ceil(abs(stepSize/minStep))-1)
medIndex = -1
if numTicks % 2:
medIndex = numTicks/2
for val in ticks[QwtScaleDiv.MajorTick]:
for k in range(numTicks):
val += minStep
alignedValue = val
if qwtFuzzyCompare(val, 0., stepSize) == 0:
alignedValue = 0.
if k == medIndex:
ticks[QwtScaleDiv.MediumTick] += [alignedValue]
else:
ticks[QwtScaleDiv.MinorTick] += [alignedValue]
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
"""
Calculate minor ticks for an interval
:param list ticks: Major ticks (returned)
:param int maxMinorSteps: Maximum number of minor steps
:param float stepSize: Step size
"""
minStep = qwtStepSize(stepSize, maxMinorSteps, self.base())
if minStep == 0.:
return
numTicks = int(np.ceil(abs(stepSize/minStep))-1)
medIndex = -1
if numTicks % 2:
medIndex = numTicks/2
for val in ticks[QwtScaleDiv.MajorTick]:
for k in range(numTicks):
val += minStep
alignedValue = val
if qwtFuzzyCompare(val, 0., stepSize) == 0:
alignedValue = 0.
if k == medIndex:
ticks[QwtScaleDiv.MediumTick] += [alignedValue]
else:
ticks[QwtScaleDiv.MinorTick] += [alignedValue]
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
logBase = self.base()
if stepSize < 1.1:
minStep = self.divideInterval(stepSize, maxMinorSteps + 1)
if minStep == 0.:
return
numSteps = int(round(stepSize / minStep))
mediumTickIndex = -1
if numSteps > 2 and numSteps % 2 == 0:
mediumTickIndex = numSteps / 2
for v in ticks[QwtScaleDiv.MajorTick]:
s = logBase / numSteps
if s >= 1.:
if not qFuzzyCompare(s, 1.):
ticks[QwtScaleDiv.MinorTick] += [v * s]
for j in range(2, numSteps):
ticks[QwtScaleDiv.MinorTick] += [v * j * s]
else:
for j in range(1, numSteps):
tick = v + j * v * (logBase - 1) / numSteps
if j == mediumTickIndex:
ticks[QwtScaleDiv.MediumTick] += [tick]
else:
ticks[QwtScaleDiv.MinorTick] += [tick]
else:
minStep = self.divideInterval(stepSize, maxMinorSteps)
if minStep == 0.:
return
if minStep < 1.:
minStep = 1.
numTicks = int(round(stepSize / minStep)) - 1
if qwtFuzzyCompare(
(numTicks + 1) * minStep, stepSize, stepSize) > 0:
numTicks = 0
if numTicks < 1:
return
mediumTickIndex = -1
if numTicks > 2 and numTicks % 2:
mediumTickIndex = numTicks / 2
minFactor = max([np.power(logBase, minStep), float(logBase)])
for tick in ticks[QwtScaleDiv.MajorTick]:
for j in range(numTicks):
tick *= minFactor
if j == mediumTickIndex:
ticks[QwtScaleDiv.MediumTick] += [tick]
else:
ticks[QwtScaleDiv.MinorTick] += [tick]
def qwtStepSize(intervalSize, maxSteps, base):
minStep = divideInterval(intervalSize, maxSteps, base)
if minStep != 0.:
numTicks = np.ceil(abs(intervalSize / minStep)) - 1
if qwtFuzzyCompare((numTicks + 1) * abs(minStep), abs(intervalSize),
intervalSize) > 0:
return .5 * intervalSize
return minStep
def qwtStepSize(intervalSize, maxSteps, base):
minStep = divideInterval(intervalSize, maxSteps, base)
if minStep != 0.:
numTicks = np.ceil(abs(intervalSize/minStep))-1
if qwtFuzzyCompare((numTicks+1)*abs(minStep),
abs(intervalSize), intervalSize) > 0:
return .5*intervalSize
return minStep
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
logBase = self.base()
if stepSize < 1.1:
minStep = self.divideInterval(stepSize, maxMinorSteps+1)
if minStep == 0.:
return
numSteps = int(round(stepSize/minStep))
mediumTickIndex = -1
if numSteps > 2 and numSteps % 2 == 0:
mediumTickIndex = numSteps/2
for v in ticks[QwtScaleDiv.MajorTick]:
s = logBase/numSteps
if s >= 1.:
if not qFuzzyCompare(s, 1.):
ticks[QwtScaleDiv.MinorTick] += [v*s]
for j in range(2, numSteps):
ticks[QwtScaleDiv.MinorTick] += [v*j*s]
else:
for j in range(1, numSteps):
tick = v + j*v*(logBase-1)/numSteps
if j == mediumTickIndex:
ticks[QwtScaleDiv.MediumTick] += [tick]
else:
ticks[QwtScaleDiv.MinorTick] += [tick]
else:
minStep = self.divideInterval(stepSize, maxMinorSteps)
if minStep == 0.:
return
if minStep < 1.:
minStep = 1.
numTicks = int(round(stepSize/minStep))-1
if qwtFuzzyCompare((numTicks+1)*minStep, stepSize, stepSize) > 0:
numTicks = 0
if numTicks < 1:
return
mediumTickIndex = -1
if numTicks > 2 and numTicks % 2:
mediumTickIndex = numTicks/2
minFactor = max([np.power(logBase, minStep), float(logBase)])
for tick in ticks[QwtScaleDiv.MajorTick]:
for j in range(numTicks):
tick *= minFactor
if j == mediumTickIndex:
ticks[QwtScaleDiv.MediumTick] += [tick]
else:
ticks[QwtScaleDiv.MinorTick] += [tick]
def qwtStepSize(intervalSize, maxSteps, base):
"""this version often doesn't find the best ticks: f.e for 15: 5, 10"""
minStep = divideInterval(intervalSize, maxSteps, base)
if minStep != 0.0:
# # ticks per interval
numTicks = np.ceil(abs(intervalSize / minStep)) - 1
# Do the minor steps fit into the interval?
if qwtFuzzyCompare((numTicks + 1) * abs(minStep), abs(intervalSize), intervalSize) > 0:
# The minor steps doesn't fit into the interval
return 0.5 * intervalSize
return minStep
def qwtStepSize(intervalSize, maxSteps, base):
"""this version often doesn't find the best ticks: f.e for 15: 5, 10"""
minStep = divideInterval(intervalSize, maxSteps, base)
if minStep != 0.:
# # ticks per interval
numTicks = np.ceil(abs(intervalSize/minStep))-1
# Do the minor steps fit into the interval?
if qwtFuzzyCompare((numTicks+1)*abs(minStep),
abs(intervalSize), intervalSize) > 0:
# The minor steps doesn't fit into the interval
return .5*intervalSize
return minStep
def align(self, interval, stepSize):
"""
Align an interval to a step size
The limits of an interval are aligned that both are integer
multiples of the step size.
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:return: Aligned interval
"""
intv = qwtLogInterval(self.base(), interval)
x1 = floorEps(intv.minValue(), stepSize)
if qwtFuzzyCompare(interval.minValue(), x1, stepSize) == 0:
x1 = interval.minValue()
x2 = ceilEps(intv.maxValue(), stepSize)
if qwtFuzzyCompare(interval.maxValue(), x2, stepSize) == 0:
x2 = interval.maxValue()
return qwtPowInterval(self.base(), QwtInterval(x1, x2))
def buildTicks(self, interval, stepSize, maxMinorSteps):
ticks = [[] for _i in range(QwtScaleDiv.NTickTypes)]
boundingInterval = self.align(interval, stepSize)
ticks[QwtScaleDiv.MajorTick] = self.buildMajorTicks(boundingInterval,
stepSize)
if maxMinorSteps > 0:
self.buildMinorTicks(ticks, maxMinorSteps, stepSize)
for i in range(QwtScaleDiv.NTickTypes):
ticks[i] = self.strip(ticks[i], interval)
for j in range(len(ticks[i])):
if qwtFuzzyCompare(ticks[i][j], 0., stepSize) == 0:
ticks[i][j] = 0.
return ticks
def buildTicks(self, interval, stepSize, maxMinorSteps):
ticks = [[] for _i in range(QwtScaleDiv.NTickTypes)]
boundingInterval = self.align(interval, stepSize)
ticks[QwtScaleDiv.MajorTick] = self.buildMajorTicks(
boundingInterval, stepSize)
if maxMinorSteps > 0:
self.buildMinorTicks(ticks, maxMinorSteps, stepSize)
for i in range(QwtScaleDiv.NTickTypes):
ticks[i] = self.strip(ticks[i], interval)
for j in range(len(ticks[i])):
if qwtFuzzyCompare(ticks[i][j], 0., stepSize) == 0:
ticks[i][j] = 0.
return ticks
def align(self, interval, stepSize):
"""
Align an interval to a step size
The limits of an interval are aligned that both are integer
multiples of the step size.
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:return: Aligned interval
"""
x1 = interval.minValue()
x2 = interval.maxValue()
if -DBL_MAX+stepSize <= x1:
x = floorEps(x1, stepSize)
if qwtFuzzyCompare(x1, x, stepSize) != 0:
x1 = x
if DBL_MAX-stepSize >= x2:
x = ceilEps(x2, stepSize)
if qwtFuzzyCompare(x2, x, stepSize) != 0:
x2 = x
return QwtInterval(x1, x2)
def align(self, interval, stepSize):
"""
Align an interval to a step size
The limits of an interval are aligned that both are integer
multiples of the step size.
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:return: Aligned interval
"""
intv = qwtLogInterval(self.base(), interval)
x1 = floorEps(intv.minValue(), stepSize)
if qwtFuzzyCompare(interval.minValue(), x1, stepSize) == 0:
x1 = interval.minValue()
x2 = ceilEps(intv.maxValue(), stepSize)
if qwtFuzzyCompare(interval.maxValue(), x2, stepSize) == 0:
x2 = interval.maxValue()
return qwtPowInterval(self.base(), QwtInterval(x1, x2))
def align(self, interval, stepSize):
"""
Align an interval to a step size
The limits of an interval are aligned that both are integer
multiples of the step size.
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:return: Aligned interval
"""
x1 = interval.minValue()
x2 = interval.maxValue()
if -DBL_MAX+stepSize <= x1:
x = floorEps(x1, stepSize)
if qwtFuzzyCompare(x1, x, stepSize) != 0:
x1 = x
if DBL_MAX-stepSize >= x2:
x = ceilEps(x2, stepSize)
if qwtFuzzyCompare(x2, x, stepSize) != 0:
x2 = x
return QwtInterval(x1, x2)
def transform(self, *args):
"""Transform from scale to paint coordinates
Scalar: scalemap.transform(scalar)
Point (QPointF): scalemap.transform(xMap, yMap, pos)
Rectangle (QRectF): scalemap.transform(xMap, yMap, rect)
"""
if len(args) == 1:
# Scalar transform
return self.transform_scalar(args[0])
elif len(args) == 3 and isinstance(args[2], QPointF):
xMap, yMap, pos = args
return QPointF(xMap.transform(pos.x()),
yMap.transform(pos.y()))
elif len(args) == 3 and isinstance(args[2], QRectF):
xMap, yMap, rect = args
x1 = xMap.transform(rect.left())
x2 = xMap.transform(rect.right())
y1 = yMap.transform(rect.top())
y2 = yMap.transform(rect.bottom())
if x2 < x1:
x1, x2 = x2, x1
if y2 < y1:
y1, y2 = y2, y1
if qwtFuzzyCompare(x1, 0., x2-x1) == 0:
x1 = 0.
if qwtFuzzyCompare(x2, 0., x2-x1) == 0:
x2 = 0.
if qwtFuzzyCompare(y1, 0., y2-y1) == 0:
y1 = 0.
if qwtFuzzyCompare(y2, 0., y2-y1) == 0:
y2 = 0.
return QRectF(x1, y1, x2-x1+1, y2-y1+1)
else:
raise TypeError("%s().transform() takes 1 or 3 argument(s) (%s "\
"given)" % (self.__class__.__name__, len(args)))
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
minStep = qwtStepSize(stepSize, maxMinorSteps, self.base())
if minStep == 0.:
return
numTicks = int(np.ceil(abs(stepSize/minStep))-1)
medIndex = -1
if numTicks % 2:
medIndex = numTicks/2
for val in ticks[QwtScaleDiv.MajorTick]:
for k in range(numTicks):
val += minStep
alignedValue = val
if qwtFuzzyCompare(val, 0., stepSize) == 0:
alignedValue = 0.
if k == medIndex:
ticks[QwtScaleDiv.MediumTick] += [alignedValue]
else:
ticks[QwtScaleDiv.MinorTick] += [alignedValue]
def buildMinorTicks(self, ticks, maxMinorSteps, stepSize):
minStep = qwtStepSize(stepSize, maxMinorSteps, self.base())
if minStep == 0.:
return
numTicks = int(np.ceil(abs(stepSize / minStep)) - 1)
medIndex = -1
if numTicks % 2:
medIndex = numTicks / 2
for val in ticks[QwtScaleDiv.MajorTick]:
for k in range(numTicks):
val += minStep
alignedValue = val
if qwtFuzzyCompare(val, 0., stepSize) == 0:
alignedValue = 0.
if k == medIndex:
ticks[QwtScaleDiv.MediumTick] += [alignedValue]
else:
ticks[QwtScaleDiv.MinorTick] += [alignedValue]
def buildTicks(self, interval, stepSize, maxMinorSteps):
"""
Calculate ticks for an interval
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:param int maxMinorSteps: Maximum number of minor steps
:return: Calculated ticks
"""
ticks = [[] for _i in range(QwtScaleDiv.NTickTypes)]
boundingInterval = self.align(interval, stepSize)
ticks[QwtScaleDiv.MajorTick] = self.buildMajorTicks(boundingInterval, stepSize)
if maxMinorSteps > 0:
self.buildMinorTicks(ticks, maxMinorSteps, stepSize)
for i in range(QwtScaleDiv.NTickTypes):
ticks[i] = self.strip(ticks[i], interval)
for j in range(len(ticks[i])):
if qwtFuzzyCompare(ticks[i][j], 0.0, stepSize) == 0:
ticks[i][j] = 0.0
return ticks
def buildTicks(self, interval, stepSize, maxMinorSteps):
"""
Calculate ticks for an interval
:param qwt.interval.QwtInterval interval: Interval
:param float stepSize: Step size
:param int maxMinorSteps: Maximum number of minor steps
:return: Calculated ticks
"""
ticks = [[] for _i in range(QwtScaleDiv.NTickTypes)]
boundingInterval = self.align(interval, stepSize)
ticks[QwtScaleDiv.MajorTick] = self.buildMajorTicks(boundingInterval,
stepSize)
if maxMinorSteps > 0:
self.buildMinorTicks(ticks, maxMinorSteps, stepSize)
for i in range(QwtScaleDiv.NTickTypes):
ticks[i] = self.strip(ticks[i], interval)
for j in range(len(ticks[i])):
if qwtFuzzyCompare(ticks[i][j], 0., stepSize) == 0:
ticks[i][j] = 0.
return ticks
def transform(self, *args):
"""
Transform a rectangle from scale to paint coordinates
.. py:method:: transform(scalar)
:param float scalar: Scalar
.. py:method:: transform(xMap, yMap, rect)
Transform a rectangle from scale to paint coordinates
:param qwt.scale_map.QwtScaleMap xMap: X map
:param qwt.scale_map.QwtScaleMap yMap: Y map
:param QRectF rect: Rectangle in paint coordinates
.. py:method:: transform(xMap, yMap, pos)
Transform a point from scale to paint coordinates
:param qwt.scale_map.QwtScaleMap xMap: X map
:param qwt.scale_map.QwtScaleMap yMap: Y map
:param QPointF pos: Position in scale coordinates
Scalar: scalemap.transform(scalar)
Point (QPointF): scalemap.transform(xMap, yMap, pos)
Rectangle (QRectF): scalemap.transform(xMap, yMap, rect)
.. seealso::
:py:meth:`invTransform()`
"""
if len(args) == 1:
# Scalar transform
return self.transform_scalar(args[0])
elif len(args) == 3 and isinstance(args[2], QPointF):
xMap, yMap, pos = args
return QPointF(xMap.transform(pos.x()),
yMap.transform(pos.y()))
elif len(args) == 3 and isinstance(args[2], QRectF):
xMap, yMap, rect = args
x1 = xMap.transform(rect.left())
x2 = xMap.transform(rect.right())
y1 = yMap.transform(rect.top())
y2 = yMap.transform(rect.bottom())
if x2 < x1:
x1, x2 = x2, x1
if y2 < y1:
y1, y2 = y2, y1
if qwtFuzzyCompare(x1, 0., x2-x1) == 0:
x1 = 0.
if qwtFuzzyCompare(x2, 0., x2-x1) == 0:
x2 = 0.
if qwtFuzzyCompare(y1, 0., y2-y1) == 0:
y1 = 0.
if qwtFuzzyCompare(y2, 0., y2-y1) == 0:
y2 = 0.
return QRectF(x1, y1, x2-x1+1, y2-y1+1)
else:
raise TypeError("%s().transform() takes 1 or 3 argument(s) (%s "\
"given)" % (self.__class__.__name__, len(args)))