import random
import time
import numpy as np
from qtpy.QtWidgets import QMainWindow, QToolBar
from qtpy.QtGui import QPen, QBrush
from qtpy.QtCore import QSize, Qt
from qwt import QwtPlot, QwtSymbol, QwtPlotCurve
def standard_map(x, y, kappa):
"""provide one interate of the inital conditions (x, y)
for the standard map with parameter kappa."""
y_new = y - kappa * np.sin(2.0 * np.pi * x)
x_new = x + y_new
# bring back to [0,1.0]^2
if (x_new > 1.0) or (x_new < 0.0):
x_new = x_new - np.floor(x_new)
if (y_new > 1.0) or (y_new < 0.0):
y_new = y_new - np.floor(y_new)
return x_new, y_new
class MapDemo(QMainWindow):
def __init__(self, *args):
QMainWindow.__init__(self, *args)
self.plot = QwtPlot(self)
self.plot.setTitle("A Simple Map Demonstration")
self.plot.setCanvasBackground(Qt.white)
self.plot.setAxisTitle(QwtPlot.xBottom, "x")
self.plot.setAxisTitle(QwtPlot.yLeft, "y")
self.plot.setAxisScale(QwtPlot.xBottom, 0.0, 1.0)
self.plot.setAxisScale(QwtPlot.yLeft, 0.0, 1.0)
self.setCentralWidget(self.plot)
# Initialize map data
self.count = self.i = 1000
self.xs = np.zeros(self.count, np.float)
self.ys = np.zeros(self.count, np.float)
self.kappa = 0.2
self.curve = QwtPlotCurve("Map")
self.curve.attach(self.plot)
self.curve.setSymbol(
QwtSymbol(QwtSymbol.Ellipse, QBrush(Qt.red), QPen(Qt.blue), QSize(5, 5))
)
self.curve.setPen(QPen(Qt.cyan))
toolBar = QToolBar(self)
self.addToolBar(toolBar)
# 1 tick = 1 ms, 10 ticks = 10 ms (Linux clock is 100 Hz)
self.ticks = 10
self.tid = self.startTimer(self.ticks)
self.timer_tic = None
self.user_tic = None
self.system_tic = None
self.plot.replot()
def setTicks(self, ticks):
self.i = self.count
self.ticks = int(ticks)
self.killTimer(self.tid)
self.tid = self.startTimer(ticks)
def moreData(self):
if self.i == self.count:
self.i = 0
self.x = random.random()
self.y = random.random()
self.xs[self.i] = self.x
self.ys[self.i] = self.y
self.i += 1
chunks = []
self.timer_toc = time.time()
if self.timer_tic:
chunks.append("wall: %s s." % (self.timer_toc - self.timer_tic))
print(" ".join(chunks))
self.timer_tic = self.timer_toc
else:
self.x, self.y = standard_map(self.x, self.y, self.kappa)
self.xs[self.i] = self.x
self.ys[self.i] = self.y
self.i += 1
def timerEvent(self, e):
self.moreData()
self.curve.setData(self.xs[: self.i], self.ys[: self.i])
self.plot.replot()
if __name__ == "__main__":
from qwt import tests
tests.test_widget(MapDemo, size=(600, 600))