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ch3.py
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Sat, May 4, 13:57

ch3.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Wed Mar 13 16:42:29 2019
@author: jecker, tenderini, ronssin
"""
from __future__ import division
import numpy as np
from IPython.display import display, Latex
import plotly
import plotly.graph_objs as go
plotly.offline.init_notebook_mode(connected=True)
from IPython.core.magic import register_cell_magic
from IPython.display import HTML
import ipywidgets as widgets
import random
from ipywidgets import interact_manual
from plotly.subplots import make_subplots
def concepts_cle(v,u,lam):
#Initial settings, change to np.array
o=[[0],[0]]
u=np.array(u)
v=np.array(v)
data = []
t = np.linspace(-5, 5, 51)
s = np.linspace(0, 1, 10)
peak = go.Scatter(x=u[0], y=u[1], marker=dict(symbol=6, size=12, color='teal'), showlegend=False)
peak2 = go.Scatter(x=v[0], y=v[1], marker=dict(symbol=6, size=12, color='slateblue'), showlegend=False)
vector = go.Scatter(x=o[0] + s * u[0], y=o[1] + s * u[1], mode='lines',
line=dict(width=3, color='teal'), name='Vecteur u')
vector2 = go.Scatter(x=o[0] + s * v[0], y=o[1] + s * v[1], mode='lines',
line=dict(width=3, color='slateblue'), name='Vecteur v')
zero = go.Scatter(x=t*0, y=t*0, name='Origine', marker=dict(symbol=6, size=12, color='black'),
showlegend=False)
data.append(vector)
data.append(vector2)
data.append(zero)
data.append(peak)
data.append(peak2)
#règle du parallelogramme
trace1= go.Scatter(x=u[0] + s * v[0], y=u[1] + s * v[1], mode='lines',
line=dict(width=1, color='slateblue', dash='dash'), name='"v"')
trace2= go.Scatter(x=v[0] + s * u[0], y=v[1] + s * u[1], mode='lines',
line=dict(width=1, color='teal', dash='dash'), name='"u"')
w=u+v
sumUV=go.Scatter(x=o[0] + s *w[0], y=o[1] + s * w[1], mode='lines',
line=dict(width=1, color='orangered', dash='dash'), name='u+v',hoverinfo='none')
peakUV = go.Scatter(x=w[0], y=w[1], marker=dict(symbol=6, size=12, color='orangered'), showlegend=False)
data.append(trace1)
data.append(trace2)
data.append(sumUV)
data.append(peakUV)
fig = go.FigureWidget(data=data)
fig.update_layout(
title="Addition de deux vecteurs",
autosize=False,
width=700,
height=700,
font=dict(
size=10,
color="RebeccaPurple"
),
legend=dict(font=dict(size=12)),
scene=dict(aspectmode="data")
)
plotly.offline.iplot(fig)
#multiplication par lambda
data=[]
peak = go.Scatter(x=u[0], y=u[1], marker=dict(symbol=6, size=12, color='teal'), opacity=1,showlegend=False)
data.append(peak)
vector = go.Scatter(x=o[0] + s * u[0], y=o[1] + s * u[1], mode='lines',
line=dict(width=3, color='teal'), opacity=1,name='Vecteur $u$')
data.append(vector)
peak2 = go.Scatter(x=lam*u[0], y=lam*u[1], marker=dict(symbol=6, size=12, color='orangered'),opacity=0.5, showlegend=False)
data.append(peak2)
vector2 = go.Scatter(x=o[0] + lam*s * u[0], y=o[1] + lam*s * u[1], mode='lines',
line=dict(width=3, color='orangered'), opacity=0.5,name='Vecteur $\lambda u$')
data.append(vector2)
fig = go.FigureWidget(data=data)
fig.update_layout(
title="Multiplication par un scalaire",
autosize=False,
width=700,
height=700,
font=dict(
size=10,
color="RebeccaPurple"
),
legend=dict(font=dict(size=12)),
scene=dict(aspectmode="data")
)
plotly.offline.iplot(fig)
return

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