mirror of
http://CODE.RHODECODE.COM/u/O/O/O
synced 2024-11-14 21:11:48 -05:00
38 lines
1.5 KiB
Plaintext
38 lines
1.5 KiB
Plaintext
|
import numpy as np
|
||
|
from ipywidgets import interact
|
||
|
import plotly.graph_objects as go
|
||
|
from math import *
|
||
|
|
||
|
def kappa(formula, x):
|
||
|
return eval(formula, {'acos': acos, 'exp': exp, 'cos': cos, 'sin': sin, 'pi': pi, 'x': x})
|
||
|
|
||
|
def plot(formula='(1 + cos(((4)/2)*x))/2', RANGE_FROM=0, RANGE_TO=4*pi, N=10):
|
||
|
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', name='Curve'))
|
||
|
|
||
|
fig.update_layout(autosize=True, xaxis=dict(scaleanchor='y', scaleratio=1))
|
||
|
fig.show()
|
||
|
|
||
|
# Create the interactive plot
|
||
|
interact(plot, formula='(1 + cos(((4)/2)*x))/2', RANGE_FROM=(0, 4*pi, pi/4), RANGE_TO=(0, 4*pi, pi/4), N=(1,16));
|