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484 lines
16 KiB
484 lines
16 KiB
# -*- coding: utf-8 -*- |
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import numpy as np |
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import matplotlib as mpl |
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import matplotlib.pyplot as plt |
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from matplotlib.widgets import Slider, Button, CheckButtons |
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from matplotlib.axes import Axes |
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from matplotlib.projections.polar import PolarAxes |
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from mpl_toolkits.mplot3d.axes3d import Axes3D |
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from matplotlib.animation import FuncAnimation |
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PI = np.pi |
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N_PTS = 400 |
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class TriPlot_TimeAxe(Axes): |
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"""Classe d'axe temporel""" |
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phase = 2*PI/3*np.array([0, 1, 2]) |
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phasor = np.linspace(0-phase, 2*PI-phase, N_PTS).T |
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theta = phasor[0,:] |
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def __init__(self, v_max, phi, fig, rect, *args, **kwargs): |
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Axes.__init__(self, fig, rect, *args, **kwargs) |
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self.timegraph_plot = [] |
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self.v_max = v_max |
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self.phi = phi |
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self.v_ref = np.zeros(self.phasor.shape) |
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self.parameters = {} |
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return |
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def setup(self): |
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self.get_figure().add_axes(self) |
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self.timegraph_plot = [self.plot(self.theta, self.v_ref[i])[0] for i in range(3)] |
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self.grid() |
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self.set_xlim([0, 2*PI]) |
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self.set_xticks([i*PI/6 for i in range(13)]) |
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self.set_xticklabels([str(30*i)+"°" for i in range(13)]) |
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self.set_xlabel("Phase") |
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self.set_ylim([-1.6*self.v_max, +1.6*self.v_max]) |
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self.set_ylabel("Tension [V]") |
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self.timegraph_plot.append( |
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self.plot([self.phi*PI/180, self.phi*PI/180], |
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self.get_ylim(), |
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'--r')[0] |
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) |
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self.timegraph_plot.append( |
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self.scatter(3*[self.phi*PI/180], |
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[self.v_max*np.cos((self.phi-i*120)*PI/180) for i in range(3)], |
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c=["C0", "C1", "C2"])) |
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self.timegraph_plot.append( |
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self.plot([0, 2*PI], 2*[self.v_max/np.sqrt(2)], c='C4', ls=':')[0] |
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) |
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self.timegraph_plot.append( |
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self.text(0, 0, r"$V_{eff}$", c="C4") |
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) |
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return |
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def refresh(self): |
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self.timegraph_plot[0].set_ydata(self.v_ref[0]) |
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self.timegraph_plot[1].set_ydata(self.v_ref[1]) |
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self.timegraph_plot[2].set_ydata(self.v_ref[2]) |
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self.timegraph_plot[3].set_xdata(2*[self.phi*PI/180]) |
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self.timegraph_plot[4].set_offsets( |
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np.array([3*[self.phi*PI/180], |
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[self.v_max*np.cos((self.phi-i*120)*PI/180) for i in range(3)]] |
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).T |
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) |
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self.timegraph_plot[5].set_ydata(2*[self.v_max/np.sqrt(2)]) |
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self.timegraph_plot[5].set_visible(self.parameters["v_eff"]) |
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self.timegraph_plot[6].set_position((23/12*PI, 10+self.v_max/np.sqrt(2))) |
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self.timegraph_plot[6].set_visible(self.parameters["v_eff"]) |
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return |
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def set_vmax(self, v_max): |
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self.v_max = v_max |
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self.v_ref = self.v_max*np.cos(self.phasor) |
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return |
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def set_phi(self, phi): |
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self.phi = phi |
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return |
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def set_parameters(self, p): |
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self.parameters["v_eff"] = p.get("v_eff", False) |
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return |
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class TriPlot_VectAxe(PolarAxes): |
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"""Classe d'axe vectoriel""" |
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phase = 2*PI/3*np.array([0, 1, 2]) |
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phasor = np.linspace(0-phase, 2*PI-phase, N_PTS).T |
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theta = phasor[0,:] |
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def __init__(self, v_max, phi, fig, rect, *args, **kwargs): |
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PolarAxes.__init__(self, fig, rect, *args, **kwargs) |
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self.plot_list = [] |
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self.arrow_list = [] |
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self.v_max = v_max |
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self.phi = phi |
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self.v_ref = np.zeros(self.phasor.shape) |
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self.parameters = {"projection": False} |
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return |
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def setup(self): |
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self.get_figure().add_axes(self) |
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self.set_rorigin(0) |
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self.set_ylim(0, 1.6*self.v_max) |
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theta_ticks = np.arange(0, 360, 30) |
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theta_labels = [str(t * (t<=180) |
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+ (t-360) * (t>180)) + "°" |
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for t in theta_ticks] |
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self.set_thetagrids(theta_ticks, labels=theta_labels) |
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self.plot_list.append( |
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self.plot( |
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self.theta, self.v_max*np.ones(self.theta.shape), 'r' |
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)[0] |
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) |
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for i in range(3): |
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self.plot_list.append( |
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self.plot( |
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[(self.phi-i*120)*PI/180, |
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PI*(1-np.sign(np.cos((self.phi-i*120)*PI/180)))], |
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[self.v_max, |
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self.v_max*np.abs(np.cos((self.phi-i*120)*PI/180))], |
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ls = ':', |
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visible=self.parameters["projection"] |
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)[0] |
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) |
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self.arrow_list = [ |
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self.arrow(0, 0, |
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0, self.v_max, |
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lw=2, head_width=0.05, head_length=self.v_max/15, |
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color="C"+str(i), length_includes_head=True, |
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transform=( |
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mpl.transforms.Affine2D().translate( |
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(self.phi-i*120)*PI/180, 0 |
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) |
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+ self.transData |
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) |
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) |
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for i in range(3) |
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] + [ |
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self.arrow(0, 0, |
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0, self.v_max*np.abs(np.cos((self.phi-i*120)*PI/180)), |
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lw=1, head_width=0.05, head_length=self.v_max/15, |
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color="C"+str(i), length_includes_head=True, |
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transform=( |
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mpl.transforms.Affine2D().translate( |
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PI*(1-np.sign( |
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np.cos((self.phi-i*120)*PI/180) |
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) |
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)/2, |
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0 |
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) |
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+ self.transData |
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), |
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visible=self.parameters["projection"] |
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) |
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for i in range(3) |
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] |
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self.plot_list.append( |
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self.plot( |
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self.theta, self.v_max/np.sqrt(2)*np.ones(self.theta.shape), |
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c='C4', ls=':', visible=self.parameters.get("v_eff", False) |
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)[0] |
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) |
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return |
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def refresh(self): |
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self.plot_list[0].set_ydata( |
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self.v_max*np.ones( |
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self.theta.shape |
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) |
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) |
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for i, plot in enumerate(self.plot_list[1:4]): |
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plot.set_visible(self.parameters.get("projection")) |
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plot.set_xdata( |
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[(self.phi-i*120)*PI/180, |
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PI*(1-np.sign(np.cos((self.phi-i*120)*PI/180)))/2] |
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) |
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plot.set_ydata( |
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[self.v_max, |
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self.v_max*np.abs(np.cos((self.phi-i*120)*PI/180))] |
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) |
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for i in range(3): |
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self.arrow_list[i].set_data(dy=self.v_max) |
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self.arrow_list[i].set_transform( |
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mpl.transforms.Affine2D().translate( |
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(self.phi-i*120)*PI/180, 0) |
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+ self.transData |
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) |
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for i in range(3, 6): |
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self.arrow_list[i].set_visible(self.parameters["projection"]) |
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self.arrow_list[i].set_data( |
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dy=self.v_max*np.abs(np.cos((self.phi-i*120)*PI/180)) |
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) |
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self.arrow_list[i].set_transform( |
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mpl.transforms.Affine2D().translate( |
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PI*(1-np.sign(np.cos((self.phi-i*120)*PI/180)))/2, 0) |
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+ self.transData |
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) |
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self.plot_list[4].set_ydata(self.v_max/np.sqrt(2)*np.ones(self.theta.shape)) |
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self.plot_list[4].set_visible(self.parameters.get("v_eff", False)) |
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return |
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def set_vmax(self, v_max): |
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self.v_max = v_max |
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self.v_ref = self.v_max*np.cos(self.phasor) |
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return |
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def set_phi(self, phi): |
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self.phi = phi |
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return |
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def set_parameters(self, p): |
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self.parameters["projection"] = p.get("projection", False) |
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self.parameters["v_eff"] = p.get("v_eff", False) |
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return |
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class TriPlot_3DAxe(Axes3D): |
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"""Classe d'axe 3D""" |
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phase = 2*PI/3*np.array([0, 1, 2]) |
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phasor = np.linspace(0-phase, 2*PI-phase, N_PTS).T |
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theta = phasor[0,:] |
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def __init__(self, v_max, phi, fig, rect, *args, **kwargs): |
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Axes3D.__init__(self, fig, rect, auto_add_to_figure=False, |
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*args, **kwargs) |
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self.plot_list = [] |
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self.arrow_list = [] |
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self.v_max = v_max |
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self.phi = phi |
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self.v_re = np.zeros(self.phasor.shape) |
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self.v_im = np.zeros(self.phasor.shape) |
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return |
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def setup(self): |
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self.get_figure().add_axes(self) |
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for i in range(3): |
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self.plot_list.append( |
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self.plot(self.v_im[i,:], self.v_re[i,:], |
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self.theta |
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)[0] |
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) |
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self.set_xlim([-1.6*self.v_max, 1.6*self.v_max]) |
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self.set_ylim([-1.6*self.v_max, 1.6*self.v_max]) |
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self.view_init(vertical_axis='y') |
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self.set_zlim([0, 2*PI]) |
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self.set_zticks([i*PI/2 for i in range(5)]) |
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self.set_zticklabels([str(90*i)+"°" for i in range(5)]) |
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#self.set_box_aspect((4,1,1)) |
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self.set_facecolor("#00000000") |
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self.set_title("Visualisation 3D") |
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self.set_xlabel("Partie imaginaire") |
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self.set_ylabel("Partie réelle") |
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self.set_zlabel("Angle") |
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# Début de code pour un plan "phi" dans l'espace 3D |
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# matplotlib ne gère pas les transformations 3D... |
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# X = [-self.v_max, self.v_max] |
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# Y = [-self.v_max, self.v_max] |
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# XX, YY = np.meshgrid(X, Y) |
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# Z = np.zeros((2,2)) |
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# self.plot_list.append( |
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# self.plot_surface(XX, YY, Z, color="#ff000080") |
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# ) |
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# self.plot_list[-1].set_transform( |
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# np.array([[0, 0, 0, 0], |
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# [0, 0, 0, 0], |
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# [0, 0, 0, self.phi*PI/180], |
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# [0, 0, 0, 1]]) |
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# ) |
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return |
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def set_vmax(self, v_max): |
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self.v_max = v_max |
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self.v_re = self.v_max*np.cos(self.phasor) |
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self.v_im = self.v_max*np.sin(self.phasor) |
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return |
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def set_phi(self, phi): |
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self.phi = phi |
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return |
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def set_parameters(self, p): |
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return |
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def refresh(self): |
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for i, plot in enumerate(self.plot_list[:3]): |
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plot.set_data_3d( |
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self.v_re[i,:], |
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self.v_im[i,:], |
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self.theta |
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) |
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def projX(self, event=None): |
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self.view_init(0, -90.01, 'y') |
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self.get_figure().canvas.draw() |
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def projY(self, event=None): |
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self.view_init(89.99, -90.01, 'y') |
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self.get_figure().canvas.draw() |
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def projZ(self, event=None): |
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self.view_init(0, 90, 'x') |
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self.get_figure().canvas.draw() |
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return |
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class TriPlot: |
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"""Classe de graphique MLI""" |
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phase = 2*PI/3*np.array([0, 1, 2]) |
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phasor = np.linspace(0-phase, 2*PI-phase, N_PTS).T |
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theta = phasor[0,:] |
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def __init__(self): |
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# Attributs scalaires |
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self.v_eff = 220 |
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self.v_max = np.sqrt(2)*self.v_eff |
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self.v_ref = np.zeros(self.phasor.shape) |
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self.phi = 30 |
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# Attributs graphiques |
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self.fig = plt.figure() |
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self.timeaxe = TriPlot_TimeAxe(self.v_max, self.phi, |
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self.fig, [0.1, 0.5, 0.4, 0.4]) |
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self.vectaxe = TriPlot_VectAxe(self.v_max, self.phi, |
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self.fig, [0.5, 0.1, 0.4, 0.4]) |
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self.axe3D = TriPlot_3DAxe(self.v_max, self.phi, |
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self.fig, [0.5, 0.6, 0.4, 0.4]) |
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# -- Curseurs de réglage |
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self.amp_slider = Slider( |
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ax=plt.axes([0.01, 0.1, 0.03, 0.8]), |
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label="Tension\nefficace", |
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valmin=0, |
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valmax=1.5*self.v_eff, |
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valinit=self.v_eff, |
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orientation="vertical" |
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) |
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self.phi_slider = Slider( |
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ax=plt.axes([0.1, 0.01, 0.8, 0.03]), |
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label="Phase [°]", |
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valmin=0, |
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valmax=360, |
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valinit=self.phi, |
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orientation="horizontal" |
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) |
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# -- Bouton de remise à zéro |
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self.reset_button = Button( |
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ax=plt.axes([0.95, 0.01, 0.03, 0.03]), |
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label='Reset' |
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) |
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# -- Cases de cocher pour les parametres de visibilité |
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self.parameters_check = CheckButtons( |
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ax=plt.axes([0.9, 0.8, 0.1, 0.2]), |
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labels=["Projection", "Valeur efficace"] |
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) |
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# -- Boutons de projection de l'axe 3D |
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self.projX_button = Button( |
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ax=plt.axes([0.9, 0.67, 0.1, 0.03]), |
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label='Axe réel' |
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) |
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self.projY_button = Button( |
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ax=plt.axes([0.9, 0.635, 0.1, 0.03]), |
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label='Axe imaginaire' |
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) |
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self.projZ_button = Button( |
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ax=plt.axes([0.9, 0.60, 0.1, 0.03]), |
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label='Plan complexe' |
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) |
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# Listes et dictionaires |
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self.axes = [self.vectaxe, self.timeaxe, self.axe3D] |
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self.sliders = [self.amp_slider, self.phi_slider] |
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self.parameters = {} |
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# Tracé du graphique |
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self.setup() |
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self.refresh() |
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return |
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def setup(self): |
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# Appels aux fonctions de configuration initiale de chaque axe |
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for axe in self.axes: |
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axe.setup() |
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# Configuration des widgets pour lancer un rafraichissement en cas de modification |
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for slider in self.sliders: |
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slider.on_changed(self.refresh) |
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self.parameters_check.on_clicked(self.refresh) |
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self.reset_button.on_clicked(self.reset) |
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self.projX_button.on_clicked(self.axe3D.projX) |
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self.projY_button.on_clicked(self.axe3D.projY) |
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self.projZ_button.on_clicked(self.axe3D.projZ) |
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# Affichage du Copyright |
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self.fig.text(0.01, 0.98, "Gaël Pongnot, CC-BY-NC", size=8) |
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# Configuration de la fenêtre (Qt) |
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win = self.fig.canvas.window() |
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win.setMinimumSize(1200, 800) |
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win.showMaximized() |
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def refresh(self, val=None): |
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# Lecture des nouvelles valeurs |
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self.set_veff(self.amp_slider.val) |
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self.set_phi(self.phi_slider.val) |
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self.set_parameters(self.parameters_check.get_status()) |
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# Rafraichissement des axes |
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for axe in self.axes: |
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axe.refresh() |
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# Actualisation de l'affichage |
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self.fig.canvas.draw() |
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return |
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def reset(self, event=None): |
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# Remise à zéro des sliders -> déclenche un rafraichissement |
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for slider in self.sliders: |
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slider.reset() |
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return |
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def set_vmax(self, v_max): |
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# Modification des attributs liés à v_max |
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self.v_max = v_max |
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self.v_eff = v_max/np.sqrt(2) |
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self.v_ref = self.v_max*np.cos(self.phasor) |
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|
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# Application du changement aux axes |
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for axe in self.axes: |
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axe.set_vmax(self.v_max) |
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return |
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def set_veff(self, v_eff): |
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# Transfert de la modification à set_vmax |
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self.set_vmax(np.sqrt(2)*v_eff) |
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return |
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def set_phi(self, phi): |
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# Modification des attributs liés à phi |
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self.phi = phi |
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# Application du changement aux axes |
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for axe in self.axes: |
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axe.set_phi(self.phi) |
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return |
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def set_parameters(self, p): |
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# Modification des attributs liés à p |
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self.parameters["projection"] = p[0] |
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self.parameters["v_eff"] = p[1] |
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# Application du changement aux axes |
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for axe in self.axes: |
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axe.set_parameters(self.parameters) |
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return |
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if __name__ == '__main__': |
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# Execute when the module is not initialized from an import statement. |
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plt.close('all') |
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my_plot = TriPlot() |
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plt.show(block=False)
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