From dbc3fc3f1f84085443bdd6479881d12b0ad1fc2b Mon Sep 17 00:00:00 2001
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Date: Sun, 12 Nov 2023 12:00:08 +0000
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---
 ...šͺα—±α—΄βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺИNβšͺβ“„βšͺκ–΄βšͺ✀βšͺᑐᑕβšͺα‘Žβšͺκ—³βšͺβ—―βšͺα—±α—΄βšͺα΄₯βšͺα‘Žβšͺ✀βšͺα—©βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺᗝβšͺα—±α—΄βšͺκ–΄βšͺκ—³βšͺκ–΄βšͺᑐᑕβšͺα—±α—΄βšͺί¦βšͺα”“α”•βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺα”“α”•βšͺί¦βšͺα—±α—΄βšͺᑐᑕβšͺκ–΄βšͺκ—³βšͺκ–΄βšͺα—±α—΄βšͺᗝβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—©βšͺ✀βšͺα‘Žβšͺα΄₯βšͺα—±α—΄βšͺβ—―βšͺκ—³βšͺα‘Žβšͺᑐᑕβšͺ✀βšͺκ–΄βšͺβ“„βšͺИNβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—±α—΄βšͺβ—―βšͺί¦βšͺᙁβšͺβ“„βšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ.PY | 16 +++++++++++-----
 1 file changed, 11 insertions(+), 5 deletions(-)

diff --git a/βšͺᕀᕦβšͺИNβšͺκ–΄βšͺᙏβšͺα—©βšͺα΄₯βšͺᕀᕦβšͺβ“„βšͺα΄₯βšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺα΄₯βšͺβ“„βšͺᕀᕦβšͺα΄₯βšͺα—©βšͺᙏβšͺκ–΄βšͺИNβšͺᕀᕦβšͺ/βšͺИNβšͺβ“„βšͺ옷βšͺ✀βšͺδΊΊβšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺδΊΊβšͺ✀βšͺ옷βšͺβ“„βšͺИNβšͺ/βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺδΊΊβšͺί¦βšͺα‘Žβšͺᒍᒐβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺᒍᒐβšͺα‘Žβšͺί¦βšͺδΊΊβšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ/YP.βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺβ“„βšͺᙁβšͺί¦βšͺβ—―βšͺα—±α—΄βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺИNβšͺβ“„βšͺκ–΄βšͺ✀βšͺᑐᑕβšͺα‘Žβšͺκ—³βšͺβ—―βšͺα—±α—΄βšͺα΄₯βšͺα‘Žβšͺ✀βšͺα—©βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺᗝβšͺα—±α—΄βšͺκ–΄βšͺκ—³βšͺκ–΄βšͺᑐᑕβšͺα—±α—΄βšͺί¦βšͺα”“α”•βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺα”“α”•βšͺί¦βšͺα—±α—΄βšͺᑐᑕβšͺκ–΄βšͺκ—³βšͺκ–΄βšͺα—±α—΄βšͺᗝβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—©βšͺ✀βšͺα‘Žβšͺα΄₯βšͺα—±α—΄βšͺβ—―βšͺκ—³βšͺα‘Žβšͺᑐᑕβšͺ✀βšͺκ–΄βšͺβ“„βšͺИNβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—±α—΄βšͺβ—―βšͺί¦βšͺᙁβšͺβ“„βšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ.PY b/βšͺᕀᕦβšͺИNβšͺκ–΄βšͺᙏβšͺα—©βšͺα΄₯βšͺᕀᕦβšͺβ“„βšͺα΄₯βšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺα΄₯βšͺβ“„βšͺᕀᕦβšͺα΄₯βšͺα—©βšͺᙏβšͺκ–΄βšͺИNβšͺᕀᕦβšͺ/βšͺИNβšͺβ“„βšͺ옷βšͺ✀βšͺδΊΊβšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺδΊΊβšͺ✀βšͺ옷βšͺβ“„βšͺИNβšͺ/βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺδΊΊβšͺί¦βšͺα‘Žβšͺᒍᒐβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺᒍᒐβšͺα‘Žβšͺί¦βšͺδΊΊβšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ/YP.βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺβ“„βšͺᙁβšͺί¦βšͺβ—―βšͺα—±α—΄βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺИNβšͺβ“„βšͺκ–΄βšͺ✀βšͺᑐᑕβšͺα‘Žβšͺκ—³βšͺβ—―βšͺα—±α—΄βšͺα΄₯βšͺα‘Žβšͺ✀βšͺα—©βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺᗝβšͺα—±α—΄βšͺκ–΄βšͺκ—³βšͺκ–΄βšͺᑐᑕβšͺα—±α—΄βšͺί¦βšͺα”“α”•βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺα”“α”•βšͺί¦βšͺα—±α—΄βšͺᑐᑕβšͺκ–΄βšͺκ—³βšͺκ–΄βšͺα—±α—΄βšͺᗝβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—©βšͺ✀βšͺα‘Žβšͺα΄₯βšͺα—±α—΄βšͺβ—―βšͺκ—³βšͺα‘Žβšͺᑐᑕβšͺ✀βšͺκ–΄βšͺβ“„βšͺИNβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—±α—΄βšͺβ—―βšͺί¦βšͺᙁβšͺβ“„βšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ.PY
index f5d92f71..cf52c579 100644
--- a/βšͺᕀᕦβšͺИNβšͺκ–΄βšͺᙏβšͺα—©βšͺα΄₯βšͺᕀᕦβšͺβ“„βšͺα΄₯βšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺα΄₯βšͺβ“„βšͺᕀᕦβšͺα΄₯βšͺα—©βšͺᙏβšͺκ–΄βšͺИNβšͺᕀᕦβšͺ/βšͺИNβšͺβ“„βšͺ옷βšͺ✀βšͺδΊΊβšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺδΊΊβšͺ✀βšͺ옷βšͺβ“„βšͺИNβšͺ/βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺδΊΊβšͺί¦βšͺα‘Žβšͺᒍᒐβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺᒍᒐβšͺα‘Žβšͺί¦βšͺδΊΊβšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ/YP.βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺβ“„βšͺᙁβšͺί¦βšͺβ—―βšͺα—±α—΄βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺИNβšͺβ“„βšͺκ–΄βšͺ✀βšͺᑐᑕβšͺα‘Žβšͺκ—³βšͺβ—―βšͺα—±α—΄βšͺα΄₯βšͺα‘Žβšͺ✀βšͺα—©βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺᗝβšͺα—±α—΄βšͺκ–΄βšͺκ—³βšͺκ–΄βšͺᑐᑕβšͺα—±α—΄βšͺί¦βšͺα”“α”•βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺα”“α”•βšͺί¦βšͺα—±α—΄βšͺᑐᑕβšͺκ–΄βšͺκ—³βšͺκ–΄βšͺα—±α—΄βšͺᗝβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—©βšͺ✀βšͺα‘Žβšͺα΄₯βšͺα—±α—΄βšͺβ—―βšͺκ—³βšͺα‘Žβšͺᑐᑕβšͺ✀βšͺκ–΄βšͺβ“„βšͺИNβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—±α—΄βšͺβ—―βšͺί¦βšͺᙁβšͺβ“„βšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ.PY
+++ b/βšͺᕀᕦβšͺИNβšͺκ–΄βšͺᙏβšͺα—©βšͺα΄₯βšͺᕀᕦβšͺβ“„βšͺα΄₯βšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺα΄₯βšͺβ“„βšͺᕀᕦβšͺα΄₯βšͺα—©βšͺᙏβšͺκ–΄βšͺИNβšͺᕀᕦβšͺ/βšͺИNβšͺβ“„βšͺ옷βšͺ✀βšͺδΊΊβšͺί¦βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺί¦βšͺδΊΊβšͺ✀βšͺ옷βšͺβ“„βšͺИNβšͺ/βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺδΊΊβšͺί¦βšͺα‘Žβšͺᒍᒐβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺᒍᒐβšͺα‘Žβšͺί¦βšͺδΊΊβšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ/YP.βšͺα΄₯βšͺα—±α—΄βšͺ✀βšͺβ“„βšͺᙁβšͺί¦βšͺβ—―βšͺα—±α—΄βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺИNβšͺβ“„βšͺκ–΄βšͺ✀βšͺᑐᑕβšͺα‘Žβšͺκ—³βšͺβ—―βšͺα—±α—΄βšͺα΄₯βšͺα‘Žβšͺ✀βšͺα—©βšͺα—―βšͺα΄₯βšͺα‘Žβšͺᑐᑕβšͺβ—―βšͺᗝβšͺα—±α—΄βšͺκ–΄βšͺκ—³βšͺκ–΄βšͺᑐᑕβšͺα—±α—΄βšͺί¦βšͺα”“α”•βšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺβ—Œβšͺα”“α”•βšͺί¦βšͺα—±α—΄βšͺᑐᑕβšͺκ–΄βšͺκ—³βšͺκ–΄βšͺα—±α—΄βšͺᗝβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—©βšͺ✀βšͺα‘Žβšͺα΄₯βšͺα—±α—΄βšͺβ—―βšͺκ—³βšͺα‘Žβšͺᑐᑕβšͺ✀βšͺκ–΄βšͺβ“„βšͺИNβšͺβ—―βšͺᑐᑕβšͺα‘Žβšͺα΄₯βšͺα—―βšͺα—±α—΄βšͺβ—―βšͺί¦βšͺᙁβšͺβ“„βšͺ✀βšͺα—±α—΄βšͺα΄₯βšͺ.PY
@@ -1,12 +1,18 @@
 import numpy as np
-from ipywidgets import interact
 import plotly.graph_objects as go
 from math import *
+import mpmath
+from ipywidgets import interact, widgets
 
+N_slider = widgets.IntSlider(min=1, max=16, value=8)
+RANGE_FROM_SLIDER=widgets.FloatSlider(min=0, max=4*pi, value=0*pi, step=pi/4)
+RANGE_TO_SLIDER=widgets.FloatSlider(min=0, max=4*pi, value=4*pi,step=pi/4)
+def clamp(x):
+    return max(min(1, x), -1)
 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):
+    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, RANGE_TO=4*pi, N=10):
     num_points = 1+2**N
 
     # Generate x values with the specified number of points
@@ -35,4 +41,4 @@ def plot(formula='(1 + cos(((4)/2)*x))/2', RANGE_FROM=0, RANGE_TO=4*pi, N=10):
     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));
\ No newline at end of file
+interact(plot, formula='(1 - cos(((4)/2)*x))/2', RANGE_FROM=RANGE_FROM_SLIDER, RANGE_TO=RANGE_TO_SLIDER, N=N_slider);
\ No newline at end of file