#author("2023-06-23T10:03:02+09:00","external:moriat","moriat")
#author("2023-06-23T10:21:54+09:00","external:moriat","moriat")
#topicpath

** シミュレーション-3 結果をグラフで表す [#f3031f39]
- matplotlib vs plotly~
Python でグラフを描く。
Python でグラフを描くライブラリはいくつかある。~
[[matplotlib と plotly で描いた例>https://colab.research.google.com/drive/1XVNBF_joNCDqPyEhAIvHkbFsG1pDYpbS?usp=sharing]]を Google Colaboratory で示す。
*** 準備 [#fa9849dd]
- リストのスライス
#code(python){{
# リストの作成
testlist = list(range(10))
print( testlist )
# スライスの例
print( testlist[2:4] )
print( testlist[::2] )
print( testlist[1::2] )
print( testlist[-2:])
}}
- リストのコピー~
次のようにしても、xe, xl, xr は、実体は同じになるので、一つの値を変えると、全部の値が変わる。
#code(python){{
xe = [2,3]
xl = xe
xr = xe
xe[0] = -3
print(xl)
print(xr)
}}
この件は、例えば[[Pythonのデータ同一性>https://qiita.com/umeko2015/items/38022f725a1deb925813]]を参照のこと。
- 数値積分の値を保持する。~
リストの末尾にリストを連結していく。最後の2つを用いて積分する。
関数 Euler() などの定義は省略してある。
#code(python){{
xe = [2,3]
xl = [2,3]
xr = [2,3]

for i in range( nloop - 1 ):
    xe += Euler(      xe[-2:] )
    xl += LeapFrog(   xl[-2:] )
    xr += RungeKutta( xr[-2:] )
print( xe[-2:])
print( xl[-2:])
print( xr[-2:])
}}
*** グラフの作成 [#j458a458]
- まえおき~
グラフを描くとき、一つの関数に、数多くのオプションをつけて実行するのが普通だった。~
近年は、関数を追加していくのが主流である。グラフの見た目を改める場合には、ChatGPT に尋ねることを勧める。~
~
- matplotlib の場合~
[[コードとグラフ>https://colab.research.google.com/drive/1XVNBF_joNCDqPyEhAIvHkbFsG1pDYpbS?usp=sharing#scrollTo=5oHS4kISkvBh]]
#code(python){{
import matplotlib.pyplot as plt

etime = []
for i in range(nloop):
    etime += [i * dt]

print( len(etime) )
print( len(xe) )

plt.plot( etime, xe[::2], label="Euler")
plt.plot( etime, xl[::2], label="LeapFrog")
plt.plot( etime, xr[::2], label="RungeKutta")
plt.legend()
}}
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);
- plotly の場合~
plotly の場合は、美しいだけでなく、インタラクティブなグラフになる。~
[[コードとグラフ>https://colab.research.google.com/drive/1XVNBF_joNCDqPyEhAIvHkbFsG1pDYpbS#scrollTo=-CcvwWIxqaF0]]
#code(python){{
import plotly.graph_objects as go

etime = []
for i in range(nloop):
    etime += [i * dt]
 
print( len(etime) )
print( len(xe) )

fig = go.Figure()
fig.add_trace(go.Scatter(x=etime, y=xe[::2], name='Euler'))
fig.add_trace(go.Scatter(x=etime, y=xl[::2], name='LeapFrog'))
fig.add_trace(go.Scatter(x=etime, y=xr[::2], name='RungeKutta'))
}}
ここに掲載したのは画像なので、クリックしても何も起こらない。~
&ref(newplot.png);

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