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2023-07-08 17:59:08 +0200 marked best answer Is fast_callable breaking my code?

I'm currently trying to make an interact for newton fractals that accepts most functions. This is my code for newton's method:

import numpy as np

def newton(z0,f,fp,MAX_IT):
      cnt = 0
      TOL = 1e-10
      z = z0
      condition = fp(z) != 0
      a = z[condition]
      for i in range(MAX_IT):
           dz = f(a)/fp(a)
           adz = np.absolute(dz)
           if np.all(adz < TOL) :
              return a
           cnt += 1
           a -= dz
      return False

Input:

g(a) = sin(a)
f = fast_callable(g, vars=(a))
fp = fast_callable(diff(g), vars(a))
x = np.linspace(-7,7,100)
y = np.linspace(-7,7,100)
xx,yy = np.meshgrid(x,y)
newton(xx+yy*1j,f,fp,150)

Output:

array([-6.28318531+0.j, -6.28318531+0.j, -6.28318531+0.j, ...,
        6.28318531+0.j,  6.28318531+0.j,  6.28318531+0.j])

I'm supposed to get 0 or 2*pi in addition to the above. When I use numpy functions I don't have this issue. Is fast_callable breaking something?

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2023-07-08 17:42:09 +0200 edited question How to compute and display a conformal map in Sage

How to compute and display a conformal map in Sage I am trying to create conformal maps of complex functions, ie somethi

2023-07-08 17:27:45 +0200 asked a question How to compute and display a conformal map in Sage

How to compute and display a conformal map in Sage I am trying to create conformal maps of complex functions, ie somethi

2023-06-27 00:02:03 +0200 edited question What method is complex_number_to_cmap_rgb using to generate its values?

What method is complex_number_to_cmap_rgb using to generate its values? Note: Throughout my question I will be abbreviat

2023-06-26 23:55:52 +0200 asked a question What method is complex_number_to_cmap_rgb using to generate its values?

What method is complex_number_to_cmap_rgb using to generate its values? Note: Throughout my question I will be abbreviat

2023-06-12 20:18:04 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-10 19:36:28 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-07 20:41:43 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-06 20:33:28 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-06 20:25:37 +0200 received badge  Supporter (source)
2023-06-05 22:16:27 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-05 15:57:54 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-04 21:28:54 +0200 edited question Is fast_callable breaking my code?

Is fast_callable breaking my code? I'm currently trying to make an interact for newton fractals that accepts most functi

2023-06-04 19:06:07 +0200 edited question Is fast_callable breaking my code?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-04 18:55:41 +0200 edited question Is fast_callable breaking my code?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-04 18:55:16 +0200 edited question Is fast_callable breaking my code?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-04 18:04:48 +0200 asked a question Is fast_callable breaking my code?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-04 18:03:24 +0200 asked a question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-03 19:24:04 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-03 19:20:18 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-03 19:08:47 +0200 commented question How do I make Newton's Method return the zeros of sin?

@John Palmieri xx+yy*1j is z0, sin(x) is f, and cos(x) is fp

2023-06-03 18:48:56 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-03 06:44:27 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-06-01 23:39:58 +0200 commented question How do I make Newton's Method return the zeros of sin?

@John Palmieri the question has to do with Sage because I'm trying to figure out if fast_callable is causing my issue, o

2023-06-01 20:57:40 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

2023-05-31 17:19:43 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I make Newton's Method return the zeros of sin? I'm currently trying to make an interact for newton fractals that

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2023-05-31 17:13:27 +0200 edited question How do I make Newton's Method return the zeros of sin?

How do I account for functions with discontinuities in Newton's Method? I'm currently trying to make an interact for new

2023-05-25 13:42:49 +0200 received badge  Student (source)
2023-05-22 09:22:21 +0200 asked a question How do I make Newton's Method return the zeros of sin?

How do I account for functions with discontinuities in Newton's Method? I'm currently trying to make an interact for new