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OO/⚪ᕤᕦ⚪ИN⚪ꖴ⚪ᙏ⚪ᗩ⚪ᴥ⚪ᕤᕦ⚪Ⓞ⚪ᴥ⚪ߦ⚪◌⚪◌.../⚪ИN⚪Ⓞ⚪옷⚪✤⚪人⚪ߦ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ߦ.../⚪ᴥ⚪ᗱᗴ⚪✤⚪人⚪ߦ⚪ᑎ⚪ᒍᒐ⚪◌⚪◌⚪◌⚪◌⚪◌⚪.../YP..⚪ᴥ⚪ᗱᗴ⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᗱᗴ⚪ᗯ⚪ᴥ⚪...

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YP..⚪ᴥ⚪ᗱᗴ⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᗱᗴ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ᑎ⚪ꗳ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ᗝ⚪ᗱᗴ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᑐᑕ⚪ᗱᗴ⚪ߦ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪ߦ⚪ᗱᗴ⚪ᑐᑕ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᗱᗴ⚪ᗝ⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ꗳ⚪ᑎ⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗱᗴ⚪◯⚪ߦ⚪ᙁ⚪Ⓞ⚪✤⚪ᗱᗴ⚪ᴥ⚪..PY
2023-11-14 20:30:43 +00:00
<EFBFBD><EFBFBD>import numpy as np
import plotly.graph_objects as go
from math import *
import mpmath
from ipywidgets import interact, widgets, Text, Layout
from plotly.subplots import make_subplots
# Input field for formula
formula = widgets.Text(
value='(1-cos(((4)/2)*x))/2',
layout=widgets.Layout(width='100%'),
description='<00>&<26><15>&A<16>&N<14>&O<16>&%<1D>&<26>$<24>&<26><><EFBFBD>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26><><EFBFBD>&<26>$<24>&%<1D>&O<16>&N<14>&A<16>&<26><15>&'
)
RANGE_FROM_SLIDER = widgets.FloatSlider(
min=-4*(4*atan(1)),
max=4*(4*atan(1)),
value=-2*(4*atan(1)),
step=(4*atan(1))/4,
layout=widgets.Layout(width='100%'),
readout_format='.256f',
description='<00>&O<16>&<26>$<24>&%<1D>&<26><><EFBFBD>&<26>%<25>&<26><15><15>&df<15>&N<00>&<26><15>&%<1D>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&%<1D>&<26><15>&N<00>&df<15>&<26><15><15>&<26>%<25>&<26><><EFBFBD>&%<1D>&<26>$<24>&O<16>&'
)
RANGE_TO_SLIDER = widgets.FloatSlider(
min=-4*(4*atan(1)),
max=4*(4*atan(1)),
value=2*(4*atan(1)),
step=(4*atan(1))/4,
layout=widgets.Layout(width='100%'),
readout_format='.256f',
description='<00>&<26>$<24>&$'<27>&<26>%<25>&<26><15><15>&df<15>&N<00>&<26><15>&%<1D>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&%<1D>&<26><15>&N<00>&df<15>&<26><15><15>&<26>%<25>&$'<27>&<26>$<24>&'
)
N_slider = widgets.IntSlider(
min=1,
max=16,
value=8,
layout=widgets.Layout(width='100%'),
readout_format='.256f',
description='<00>&%<1D>&<26><15><15>&<26><15>&<26>$<24>&<26><07>&<26>%<25>&%<1D>&<26><15><15>&<26>&<26>&O<16>&N<14>&N<00>&<26>%<25>&$'<27>&N<00>&<26><><EFBFBD>&<26>$<24>&km<14>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&km<14>&<26>$<24>&<26><><EFBFBD>&N<00>&$'<27>&<26>%<25>&N<00>&N<14>&O<16>&<26>&<26>&<26><15><15>&%<1D>&<26>%<25>&<26><07>&<26>$<24>&<26><15>&<26><15><15>&%<1D>&'
)
O_REDILS_1_W_O_W_1_SLIDER_O = widgets.FloatSlider(
min=-2,
max=2,
value=1,
step=1/256,
layout=widgets.Layout(width='100%'),
readout_format='.256f',
description='<00>&<26><00>&<26>%<25>&<26><15><15>&A<16>&<26>&<26>&<26><15>&<26><><EFBFBD>&%<1D>&<26><15>&<26><15>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26><15>&<26><15>&%<1D>&<26><><EFBFBD>&<26><15>&<26>&<26>&A<16>&<26><15><15>&<26>%<25>&<26><00>&'
)
O_REDILS_2_W_O_W_2_SLIDER_O=widgets.FloatSlider(
min=-2,
max=2,
value=1,
step=1/256,
layout=widgets.Layout(width='100%'),
readout_format='.256f',
description='<00>&<26><><EFBFBD>&<26>%<25>&<26><15><15>&A<16>&<26>&<26>&<26><15>&<26><><EFBFBD>&%<1D>&<26><15>&<26><15>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26>%<25>&<26><15>&<26><15>&%<1D>&<26><><EFBFBD>&<26><15>&<26>&<26>&A<16>&<26><15><15>&<26>%<25>&<26><><EFBFBD>&'
)
def clamp(x):
return max(min(1, x), -1)
def compute(formula, x, variable1, variable2):
func_dict = {fn: eval(f'lambda *args:mpmath.{fn}(*args)') for fn in dir(mpmath)}
return float(eval(formula, {'x': x, 'O_1_W_O_W_1_O': variable1, 'O_2_W_O_W_2_O': variable2, 'clamp': clamp, **func_dict}))
def plot(formula='1.4795/O_2_W_O_W_2_O-((x)/(4*atan(1)*O_1_W_O_W_1_O/2*O_2_W_O_W_2_O))*1.4795', RANGE_FROM=0*(4*atan(1)), RANGE_TO=4*(4*atan(1)), N=8, O_1_W_O_W_1_O=1, O_2_W_O_W_2_O=1):
num_points = 1 + 2**N
x_vals = np.linspace(RANGE_FROM, RANGE_TO, num_points)
kappa_vals = np.array([compute(formula, x_val, O_1_W_O_W_1_O, O_2_W_O_W_2_O) 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])
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_
y_vals = [compute(formula, x_val, O_1_W_O_W_1_O, O_2_W_O_W_2_O) for x_val in x_vals]
# Determine maximum range for consistency across all charts
min_x_range = min(map(min, [x_coords, x_vals]))
min_y_range = min(map(min, [y_coords, y_vals]))
max_x_range = max(map(max, [x_coords, x_vals]))
max_y_range = max(map(max, [y_coords, y_vals]))
# Create and display the first plot
fig1 = go.Figure()
fig1.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}'))
fig1.update_layout(
autosize=True,
margin=dict(
l=0, # left margin
r=0, # right margin
b=0, # bottom margin
t=0, # top margin
pad=0 # padding
),
height=512,
xaxis=dict(scaleanchor='y', scaleratio=1, gridcolor='#CECECE',zeroline=True, zerolinecolor='#CECECE', tickfont=dict(color='#9C9C9C',size=16)),
yaxis=dict(gridcolor='#CECECE',zeroline=True, zerolinecolor='#CECECE',tickfont=dict(color='#9C9C9C',size=16)),
hoverlabel=dict(bgcolor="#FFFFFF", font_color='#9C9C9C', bordercolor="#CECECE",font_size=16), plot_bgcolor='#FFFFFF'
)
fig1.update_xaxes(range=[min_x_range, max_x_range])
fig1.update_yaxes(range=[min_y_range, max_y_range])
fig1.show()
# Create and display the second plot
fig2 = go.Figure()
fig2.add_trace(go.Scatter(x=x_vals, y=y_vals, mode='lines', line=dict(color='#CECECE'), name='', hovertemplate='X:%{x:.256f}' + '<br>Y:%{y:.256f}'))
fig2.update_layout(
autosize=True,
margin=dict(
l=0, # left margin
r=0, # right margin
b=0, # bottom margin
t=0, # top margin
pad=0 # padding
),
height=512,
xaxis=dict(scaleanchor='y', scaleratio=1, gridcolor='#CECECE',zeroline=True,zerolinecolor='#CECECE',tickfont=dict(color='#9C9C9C',size=16)),
yaxis=dict(gridcolor='#CECECE',zeroline=True, zerolinecolor='#CECECE',tickfont=dict(color='#9C9C9C',size=16)),
hoverlabel=dict(bgcolor="#FFFFFF", font_color='#9C9C9C', bordercolor="#CECECE",font_size=16), plot_bgcolor='#FFFFFF'
)
fig2.update_xaxes(range=[min_x_range, max_x_range])
fig2.update_yaxes(range=[min_y_range, max_y_range])
fig2.show()
interact(plot,formula=formula,RANGE_FROM=RANGE_FROM_SLIDER,RANGE_TO=RANGE_TO_SLIDER,N=N_slider,O_1_W_O_W_1_O=O_REDILS_1_W_O_W_1_SLIDER_O,O_2_W_O_W_2_O=O_REDILS_2_W_O_W_2_SLIDER_O);