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## Testing Code
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Three functions tested
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```python:pure_with_types.py
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```python
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def linspace(start, stop, n):
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if n == 1:
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yield stop
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return
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h = (stop - start) / (n - 1)
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for i in range(n):
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yield start + h * i
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```
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def mandelbrot_with_types(
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pmin: float = -2.5,
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pmax: float = 1.5,
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qmin: float = -2,
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qmax: float = 2,
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ppoints: int = 200,
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qpoints: int = 200,
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max_iterations: int = 300,
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infinity_border: float = 100) -> list[list[int]]:
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```python:pure_no_types.py
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image: list[list[int]] = [[0 for i in range(qpoints)] for j in range(ppoints)]
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for ip, p in enumerate(linspace(pmin, pmax, ppoints)):
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for iq, q in enumerate(linspace(qmin, qmax, qpoints)):
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c: complex = p + 1j * q
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z: complex = 0
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for k in range(max_iterations):
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z = z ** 2 + c
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if abs(z) > infinity_border:
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image[ip][iq] = 1
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break
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return image
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```
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def mandelbrot_no_types(
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pmin=-2.5,
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pmax=1.5,
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qmin=-2,
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qmax=2,
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ppoints=200,
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qpoints=200,
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max_iterations=300,
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infinity_border=100):
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image = [[0 for i in range(qpoints)] for j in range(ppoints)]
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for ip, p in enumerate(linspace(pmin, pmax, ppoints)):
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for iq, q in enumerate(linspace(qmin, qmax, qpoints)):
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c = p + 1j * q
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z = 0
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for k in range(max_iterations):
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z = z ** 2 + c
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if abs(z) > infinity_border:
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image[ip][iq] = 1
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break
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return image
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```python:np_extended.py
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def mandelbrot_np(
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pmin=-2.5,
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pmax=1.5,
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qmin=-2,
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qmax=2,
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ppoints=200,
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qpoints=200,
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max_iterations=300,
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infinity_border=100):
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image = np.zeros((ppoints, qpoints))
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for ip, p in enumerate(np.linspace(pmin, pmax, ppoints)):
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for iq, q in enumerate(np.linspace(qmin, qmax, qpoints)):
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c = p + 1j * q
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z = 0
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for k in range(max_iterations):
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z = z ** 2 + c
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if abs(z) > infinity_border:
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image[ip, iq] = 1
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break
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return image
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```
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## Tested interpreters
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- CPython 3.9
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- CPython 3.11
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- PyPy 3.9
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- Jython
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**Table of evaluation times in seconds**
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![enter image description here](table.png)
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