35 lines
1.2 KiB
Python
35 lines
1.2 KiB
Python
import plotly.graph_objects as go
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import numpy as np
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# Define the curvature function
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def kappa(x):
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return (1-((-((-1)**np.floor(x/np.pi*2)*(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2))))
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/(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))) +
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((-1)**np.floor((x/np.pi*2)/1)*(np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))/(np.exp(-1/((x/np.pi*2)-
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np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))))/2 + .5))
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# Generate x values
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x_vals = np.linspace(0, 4*np.pi, 1000)
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# Compute kappa values
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kappa_vals = kappa(x_vals)
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# Integrate kappa values to get theta values (angles)
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theta_vals = np.cumsum(kappa_vals) * (x_vals[1]-x_vals[0])
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# Compute x and y coordinates of the curve
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x_coords = np.cumsum(np.cos(theta_vals)) * (x_vals[1]-x_vals[0])
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y_coords = np.cumsum(np.sin(theta_vals)) * (x_vals[1]-x_vals[0])
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# Create a plot using plotly
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fig = go.Figure()
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# Add line to the figure for the curve
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fig.add_trace(go.Scatter(x=x_coords, y=y_coords, mode='lines', name='Curve'))
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# Update layout
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fig.update_layout(
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autosize=True,
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xaxis=dict(scaleanchor='y', scaleratio=1) # this line sets the aspect ratio
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)
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fig.show() |