mirror of
http://CODE.RHODECODE.COM/u/O/O/O
synced 2024-11-22 09:54:54 -05:00
52 lines
5.7 KiB
Python
52 lines
5.7 KiB
Python
import numpy as np
|
||
import plotly.graph_objects as go
|
||
from math import *
|
||
import mpmath
|
||
from ipywidgets import interact, widgets, Text, Layout
|
||
|
||
formula = Text(value='(1 - cos(((4)/2)*x))/2', layout=Layout(width='100%'),description='⚪ᗩ⚪ᙁ⚪ᑎ⚪ᙏ⚪ᴥ⚪Ⓞ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪Ⓞ⚪ᴥ⚪ᙏ⚪ᑎ⚪ᙁ⚪ᗩ⚪')
|
||
N_slider = widgets.IntSlider(min=1, max=16, value=8,layout=Layout(width='100%'),readout_format='.256f',description='⚪ᴥ⚪ᗱᗴ⚪ᗯ⚪Ⓞ⚪ߦ⚪◯⚪ᴥ⚪ᗱᗴ⚪⚭⚪ᙏ⚪ᑎ⚪ИN⚪◯⚪✤⚪ИN⚪ꖴ⚪Ⓞ⚪ᑫᑭ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᑫᑭ⚪Ⓞ⚪ꖴ⚪ИN⚪✤⚪◯⚪ИN⚪ᑎ⚪ᙏ⚪⚭⚪ᗱᗴ⚪ᴥ⚪◯⚪ߦ⚪Ⓞ⚪ᗯ⚪ᗱᗴ⚪ᴥ⚪')
|
||
RANGE_FROM_SLIDER=widgets.FloatSlider(min=0, max=4*(4*atan(1)), value=0*(4*atan(1)), step=(4*atan(1))/4, layout=Layout(width='100%'),readout_format='.256f',description='⚪ᙏ⚪Ⓞ⚪ᴥ⚪ꗳ⚪◯⚪ᗱᗴ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᴥ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᴥ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᗱᗴ⚪◯⚪ꗳ⚪ᴥ⚪Ⓞ⚪ᙏ⚪')
|
||
RANGE_TO_SLIDER=widgets.FloatSlider(min=0, max=4*(4*atan(1)), value=4*(4*atan(1)),step=(4*atan(1))/4, layout=Layout(width='100%'),readout_format='.256f',description='⚪Ⓞ⚪✤⚪◯⚪ᗱᗴ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᴥ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᴥ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᗱᗴ⚪◯⚪✤⚪Ⓞ⚪')
|
||
|
||
def clamp(x):
|
||
return max(min(1, x), -1)
|
||
def kappa(formula, x):
|
||
func_dict = {fn: eval(f'lambda *args: mpmath.{fn}(*args)') for fn in dir(mpmath)}
|
||
return float(eval(formula, {'x': x, 'clamp': clamp, **func_dict}))
|
||
def plot(formula='(1 - cos(((4)/2)*x))/2', RANGE_FROM=0*(4*atan(1)), RANGE_TO=4*(4*atan(1)), N=8):
|
||
num_points = 1+2**N
|
||
|
||
# Generate x values with the specified number of points
|
||
x_vals = np.linspace(RANGE_FROM, RANGE_TO, num_points)
|
||
|
||
# Compute kappa values
|
||
kappa_vals = np.array([kappa(formula, x_val) for x_val in x_vals])
|
||
|
||
theta_vals = np.cumsum(kappa_vals) * (x_vals[1]-x_vals[0]) if num_points > 1 else np.array([0])
|
||
x_coords_ = np.cumsum(np.cos(theta_vals)) * (x_vals[1] - x_vals[0]) if num_points > 1 else np.array([0])
|
||
y_coords_ = np.cumsum(np.sin(theta_vals)) * (x_vals[1] - x_vals[0]) if num_points > 1 else np.array([0])
|
||
|
||
# Check if the first point is zero, if not, add it manually
|
||
if x_coords_[0] != 0 or y_coords_[0] != 0:
|
||
x_coords = np.insert(x_coords_, 0, 0)
|
||
y_coords = np.insert(y_coords_, 0, 0)
|
||
else:
|
||
x_coords = x_coords_
|
||
y_coords = y_coords_
|
||
|
||
fig = go.Figure()
|
||
|
||
fig.add_trace(go.Scatter(x=x_coords,y=y_coords,mode='lines',line=dict(color='#CECECE'),name='',hovertemplate ='X:%{x:.256f}'+'<br>Y:%{y:.256f}'))
|
||
|
||
fig.update_layout(
|
||
autosize=True,
|
||
xaxis=dict(scaleanchor='y',scaleratio=1,gridcolor='#CECECE',zeroline=True,zerolinecolor='#CECECE',tickfont=dict(color='#9C9C9C')),
|
||
yaxis=dict( gridcolor='#CECECE',zeroline=True,zerolinecolor='#CECECE',tickfont=dict(color='#9C9C9C')),
|
||
hoverlabel=dict(bgcolor="#FFFFFF",font_color='#9C9C9C',bordercolor="#CECECE"),plot_bgcolor='#FFFFFF'
|
||
)
|
||
|
||
fig.show()
|
||
|
||
# Create the interactive plot
|
||
interact(plot, formula=formula, RANGE_FROM=RANGE_FROM_SLIDER, RANGE_TO=RANGE_TO_SLIDER, N=N_slider); |