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October 29, 2018 16:08
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import sys | |
import numpy as np | |
import matplotlib | |
matplotlib.use('Qt5Agg') | |
from PyQt5 import QtWidgets | |
from PyQt5.QtCore import Qt | |
from PyQt5.QtWidgets import QApplication, QDialog, QWidget | |
from PyQt5.QtWidgets import QGridLayout, QVBoxLayout, QFormLayout | |
from PyQt5.QtWidgets import QSlider, QLabel, QLineEdit | |
from matplotlib.backends.backend_qt5agg import FigureCanvasQTAgg | |
from matplotlib.figure import Figure | |
from matplotlib import pyplot as plt | |
from collections import namedtuple | |
Params = namedtuple('Params', ['R0', 'J0', 'a', 'b', 'c', 'd', 'dt', 'N']) | |
def simulate(R0, J0, a, b, c, d, dt=1e-3, N=1000): | |
x = np.zeros((N, 2)) | |
x[0][0] = R0 | |
x[0][1] = J0 | |
A = np.array([[a, b], [c, d]]) | |
for i in range(1, N): | |
x[i] = x[i - 1] + A @ x[i - 1] * dt | |
return x.T | |
def createSlider(): | |
slider = QSlider(Qt.Horizontal) | |
slider.setTickInterval(1) | |
slider.setSingleStep(1e-3) | |
return slider | |
class Controls(QWidget): | |
def __init__(self, parent=None): | |
super().__init__(parent) | |
self.form = QFormLayout() | |
self.form.addRow(QLabel('N'), QLineEdit()) | |
self.form.addRow(QLabel('a'), createSlider()) | |
self.form.addRow(QLabel('b'), createSlider()) | |
self.form.addRow(QLabel('c'), createSlider()) | |
self.form.addRow(QLabel('d'), createSlider()) | |
self.form.addRow(QLabel('Δt'), QLineEdit()) | |
self.setLayout(self.form) | |
class MplCanvas(FigureCanvasQTAgg): | |
def __init__(self, parent=None): | |
self.figure = Figure(facecolor='#eeeeee') | |
FigureCanvasQTAgg.__init__(self, self.figure) | |
self.setParent(parent) | |
FigureCanvasQTAgg.setSizePolicy(self, QtWidgets.QSizePolicy.Expanding, | |
QtWidgets.QSizePolicy.Expanding) | |
FigureCanvasQTAgg.updateGeometry(self) | |
def render(self): | |
pass | |
class PhaseSpace(MplCanvas): | |
def render(self): | |
R0 = 1 | |
J0 = 0 | |
a = 1 | |
b = -1 | |
c = -1 | |
d = -1 | |
R, J = simulate(R0, J0, a, b, c, d) | |
self.figure.clear() | |
ax = self.figure.add_subplot(111) | |
ax.scatter(R, J) | |
self.draw() | |
class Window(QDialog): | |
def __init__(self, parent=None): | |
super().__init__(parent) | |
self.canvas1 = PhaseSpace() | |
self.canvas2 = PhaseSpace() | |
self.canvas3 = PhaseSpace() | |
self.controls = Controls() | |
self.layout = QGridLayout() | |
self.layout.addWidget(self.canvas1, 0, 0, 2, 2) | |
self.layout.addWidget(self.canvas2, 2, 0, 1, 1) | |
self.layout.addWidget(self.canvas3, 2, 1, 1, 1) | |
self.layout.addWidget(self.controls, 0, 2, 3, 2) | |
self.setWindowTitle('Complex systems') | |
self.setLayout(self.layout) | |
self.canvas1.render() | |
self.canvas2.render() | |
self.canvas3.render() | |
if __name__ == '__main__': | |
app = QApplication(sys.argv) | |
main = Window() | |
main.show() | |
sys.exit(app.exec_()) |
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