def effectOf_pushButtonCPMTOrbitsRandomCircle(self):
MobiusTrans = Mobius_CP.MobiusAssocToMatrix(
self.lineEditCPMTOrbitsComplexNumberalpha.text(),
self.lineEditCPMTOrbitsComplexNumberbeta.text(),
self.lineEditCPMTOrbitsComplexNumbergamma.text(),
self.lineEditCPMTOrbitsComplexNumberdelta.text())
P = numpy.complex(numpy.random.random(), numpy.random.random())
Q = numpy.complex(numpy.random.random(), numpy.random.random())
R = numpy.complex(numpy.random.random(), numpy.random.random())
numberOfPointsInOrbit = int(self.spinBoxCPMTOrbits.cleanText())
OrbitP = MobiusTrans.Mob_trans_iterable(P, numberOfPointsInOrbit)
OrbitQ = MobiusTrans.Mob_trans_iterable(Q, numberOfPointsInOrbit)
OrbitR = MobiusTrans.Mob_trans_iterable(R, numberOfPointsInOrbit)
pointsForPlotP = Steiner_grids_CP.coordsOfComplex().coords(OrbitP)
pointsForPlotQ = Steiner_grids_CP.coordsOfComplex().coords(OrbitQ)
pointsForPlotR = Steiner_grids_CP.coordsOfComplex().coords(OrbitR)
centersAndRadii = [
(Steiner_grids_CP.commonCircles().commonCirclesFunction(
OrbitP[k], OrbitQ[k]))(OrbitR[k])
for k in range(0, numberOfPointsInOrbit, 1)
]
t = numpy.linspace(0, 2 * numpy.pi, 500)
for k in range(0, numberOfPointsInOrbit, 1):
self.mplWidgetIn_pageCP.canvas.axis.plot(
((centersAndRadii[k])[0])[0] +
(centersAndRadii[k])[1] * numpy.cos(t),
((centersAndRadii[k])[0])[1] +
(centersAndRadii[k])[1] * numpy.sin(t), 'b-')
line, = self.mplWidgetIn_pageCP.canvas.axis.plot(
((centersAndRadii[0])[0])[0] +
(centersAndRadii[0])[1] * numpy.cos(t),
((centersAndRadii[0])[0])[1] +
(centersAndRadii[0])[1] * numpy.sin(t),
'r-',
linewidth=3)
def update(k):
# Update the line and the axes (with a new xlabel). Return a tuple of
# "artists" that have to be redrawn for this frame.
line.set_xdata(((centersAndRadii[k])[0])[0] +
(centersAndRadii[k])[1] * numpy.cos(t))
line.set_ydata(((centersAndRadii[k])[0])[1] +
(centersAndRadii[k])[1] * numpy.sin(t))
return line,
anim = FuncAnimation(
self.mplWidgetIn_pageCP.canvas.fig,
update,
#init_func=init,
frames=numberOfPointsInOrbit,
interval=250,
blit=True)
self.mplWidgetIn_pageCP.canvas.draw()
def effectOf_pushButtonCPMTOrbitsSinglePoint(self):
MobiusTrans = Mobius_CP.MobiusAssocToMatrix(
self.lineEditCPMTOrbitsComplexNumberalpha.text(),
self.lineEditCPMTOrbitsComplexNumberbeta.text(),
self.lineEditCPMTOrbitsComplexNumbergamma.text(),
self.lineEditCPMTOrbitsComplexNumberdelta.text())
z_0 = numpy.complex(self.lineEditCPMTOrbitsComplexNumberz_0.text())
numberOfPointsInOrbit = int(self.spinBoxCPMTOrbits.cleanText())
Orbit = MobiusTrans.Mob_trans_iterable(z_0, numberOfPointsInOrbit)
pointsForPlot = Steiner_grids_CP.coordsOfComplex().coords(Orbit)
for k in range(0, numberOfPointsInOrbit, 1):
self.mplWidgetIn_pageCP.canvas.axis.plot(
(pointsForPlot[0])[k], (pointsForPlot[1])[k], 'ob')
line, = self.mplWidgetIn_pageCP.canvas.axis.plot((pointsForPlot[0])[0],
(pointsForPlot[1])[0],
marker='o',
color='r')
def update(i):
# Update the line and the axes (with a new xlabel). Return a tuple of
# "artists" that have to be redrawn for this frame.
line.set_xdata((pointsForPlot[0])[i])
line.set_ydata((pointsForPlot[1])[i])
return line,
# x = numpy.arange(0, 20, 0.1)
# self.mplWidgetIn_pageCP.canvas.axis.scatter(x, x + numpy.random.normal(0, 3.0, len(x)))
# line, = self.mplWidgetIn_pageCP.canvas.axis.plot(x, x - 5, 'r-', linewidth=2)
#
# def update(i):
# # Update the line and the axes (with a new xlabel). Return a tuple of
# # "artists" that have to be redrawn for this frame.
# line.set_ydata(x - 5 + i)
# return line,
# initialPlot, = self.mplWidgetIn_pageCP.canvas.axis.plot((pointsForPlot[0])[0],(pointsForPlot[1])[0],'or', animated = True)
#
## def init():
## initialPlot.set_data([],[])
## return initialPlot,
#
# def animate(k):
# x = (pointsForPlot[0])[k]
# y = (pointsForPlot[1])[k]
# print(x,y)
# initialPlot.set_data(x,y)
# return initialPlot,
#
anim = FuncAnimation(
self.mplWidgetIn_pageCP.canvas.fig,
update,
#init_func=init,
frames=numberOfPointsInOrbit,
interval=500,
blit=True)
self.mplWidgetIn_pageCP.canvas.draw()
def UHPCheckIfTheGroupIsFuchsianForSpecificSidePairing(
self, genus, numberOfPunctures):
g, p = genus, numberOfPunctures
if g == 0 and p < 3:
pass
elif g == 1 and p == 0:
pass
else:
sidePairings = self.UHPSidePairingsOfSpecificIdealPolygon(g, p)
orbits = self.UHPVertexOrbitsUnderSpecificCombinatorialSidePairing(
g, p)
for orbit in orbits:
transformation = sidePairings[orbit[0]]
j = 1
while j < len(orbit):
transformation = sidePairings[orbit[j]] * transformation
j = j + 1
print(Mobius_CP.MobiusAssocToMatrix().isParEllHypLox(
transformation[0, 0], transformation[0, 1],
transformation[1, 0], transformation[1, 1]))