From e63fb1f4573399e96388972a7c6f60d2caa3ce68 Mon Sep 17 00:00:00 2001 From: "ISPATCEE\\A0864142" Date: Wed, 29 Dec 2021 12:12:07 +0100 Subject: [PATCH 1/2] Create branch 06 --- versions/04/Mandelbrot.md => Mandelbrot.md | 0 {versions/02/fractal => fractal}/__init__.py | 0 {versions/02/fractal => fractal}/julia.py | 0 {versions/02/fractal => fractal}/koch.py | 0 .../04/fractal => fractal}/mandelbrot.py | 0 {versions/05/fractal => fractal}/sequences.py | 0 .../sierpi\305\204ski.py" | 0 {versions/04/fractal => fractal}/visualize.py | 0 .../05/server => server}/number_server.py | 0 {versions/05/server => server}/primes.pkl.gz | Bin {versions/02/test => test}/__init__.py | 0 {versions/06/test => test}/test_archives.py | 0 {versions/03/test => test}/test_canvas.py | 0 {versions/04/test => test}/test_failure.py | 0 {versions/05/test => test}/test_fixture.py | 0 {versions/06/test => test}/test_numbers.py | 0 {versions/04/test => test}/test_points.py | 0 {versions/04/test => 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b/versions/01/Mandelbrot.md deleted file mode 100644 index 43cd2c4..0000000 --- a/versions/01/Mandelbrot.md +++ /dev/null @@ -1,22 +0,0 @@ -The function, `mandelbrot()` is a calculation of how many "orbits" the -iterative function $z_{n+1}=z_{n}^{2}+c$ takes until a given point on -the complex plane "escapes." The *Mandelbrot Set* is the collection of -only those points, $z_0$, that never diverge under this function. -Famously, the boundary of this set is a *fractal*, showing increasingly -more details over every finite number of iterations. - - # Do we calculate escape for every point? - >>> from random import random - >>> from mandelbrot import mandelbrot - - # We wish to try a large number of points - >>> escapes = [] - >>> for _ in range(100_000): - ... real = random() * 4 - 2 - ... imag = random() * 4 - 2 - ... z0 = complex(real, imag) - ... escapes.append(mandelbrot(z0, orbits=255)) - - # Do we always get good values? - >>> all(0 <= esc <= 255 for esc in escapes) - True diff --git a/versions/01/mandelbrot-1.py b/versions/01/mandelbrot-1.py deleted file mode 100644 index 2d0fd3c..0000000 --- a/versions/01/mandelbrot-1.py +++ /dev/null @@ -1,9 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 - -if __name__ == '__main__': - print(mandelbrot(0.0965-0.638j)) # Should print 17 \ No newline at end of file diff --git a/versions/01/mandelbrot-2.py b/versions/01/mandelbrot-2.py deleted file mode 100644 index ce55243..0000000 --- a/versions/01/mandelbrot-2.py +++ /dev/null @@ -1,19 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - >>> mandelbrot(0.0965-0.638j) - 17 - - # Might need to increase orbits to resolve some points - >>> mandelbrot(0.106225-0.6376125j, orbits=1000) - 291 - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 - -if __name__ == '__main__': - import doctest - doctest.testmod() \ No newline at end of file diff --git a/versions/01/mandelbrot-3.py b/versions/01/mandelbrot-3.py deleted file mode 100644 index 86af380..0000000 --- a/versions/01/mandelbrot-3.py +++ /dev/null @@ -1,25 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - # If z0 isn't coercible to complex, TypeError - >>> mandelbrot('X') - Traceback (most recent call last): - File "", line 1, in - File "/home/davidmertz/git/INE/unittest/01-Doctest/mandelbrot1.py", line 4, in mandelbrot - if abs(z) > 2.0: - TypeError: bad operand type for abs(): 'str' - - # Orbits must be integer. Traceback abbreviated below - >>> mandelbrot(0.0965-0.638j, orbits=3.1) - Traceback (most recent call last): - TypeError: 'float' object cannot be interpreted as an integer - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 - return orbits - -if __name__ == '__main__': - import doctest; doctest.testmod() diff --git a/versions/01/visualize.py b/versions/01/visualize.py deleted file mode 100644 index 7aa3d00..0000000 --- a/versions/01/visualize.py +++ /dev/null @@ -1,27 +0,0 @@ -import numpy as np -from itertools import product -import matplotlib.pyplot as plt - -def visualize(fn, x, y, size, pixels): - """Visualize an arbitrary function fn:ℂ🠖ℕ - - fn: function visualized - x: lower-left (smallest) real coordinate - y: lower-left (smallest) imaginary coordinate - size: numeric range of value to plot in each coord - pixels: size of generated graph in pixels (square) - """ - xspan, yspan = pixels, pixels - canvas = np.empty(shape=(xspan, yspan), dtype=np.uint8) - for row, col in product(range(xspan), range(yspan)): - real = x - (size/2) + (size * col/xspan) - imag = y - (size/2) + (size * row/yspan) - z0 = complex(real, imag) - escape = fn(z0) or 0 - canvas[row, col] = escape - - fig, ax = plt.subplots(figsize=(8, 8)) - ax.get_xaxis().set_visible(False) - ax.get_yaxis().set_visible(False) - ax.imshow(canvas); - diff --git a/versions/02/fractal/mandelbrot.py b/versions/02/fractal/mandelbrot.py deleted file mode 100644 index 45eb704..0000000 --- a/versions/02/fractal/mandelbrot.py +++ /dev/null @@ -1,28 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - >>> mandelbrot(0.0965-0.638j) - 17 - - # Might need to increase orbits to resolve some points - >>> mandelbrot(0.106225-0.6376125j, orbits=1000) - 291 - - # If z0 isn't coercible to complex, TypeError - >>> mandelbrot('X') - Traceback (most recent call last): - File "", line 1, in - File "/home/davidmertz/git/INE/unittest/01-Doctest/mandelbrot1.py", line 4, in mandelbrot - if abs(z) > 2.0: - TypeError: bad operand type for abs(): 'str' - - # Orbits must be integer. Traceback abbreviated below - >>> mandelbrot(0.0965-0.638j, orbits=3.1) - Traceback (most recent call last): - TypeError: 'float' object cannot be interpreted as an integer - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 \ No newline at end of file diff --git "a/versions/02/fractal/sierpi\305\204ski.py" "b/versions/02/fractal/sierpi\305\204ski.py" deleted file mode 100644 index d2b548c..0000000 --- "a/versions/02/fractal/sierpi\305\204ski.py" +++ /dev/null @@ -1,42 +0,0 @@ -"""Draw Sierpiński fractals - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" - -def gasket(pixels=800, N=5) - """Draw a Sierpiński gasket of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the gasket as 0. - Encode points removed from gasket at iteration n as value n. - - >>> canvas = gasket(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - - -def carpet(pixels=800, N=5) - """Draw a Sierpiński carpet of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the carpet as 0. - Encode points removed from carpet at iteration n as value n. - - >>> canvas = carpet(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas diff --git a/versions/02/fractal/visualize.py b/versions/02/fractal/visualize.py deleted file mode 100644 index bdf3125..0000000 --- a/versions/02/fractal/visualize.py +++ /dev/null @@ -1,33 +0,0 @@ -import numpy as np -from itertools import product -import matplotlib.pyplot as plt - - -def make_canvas(fn, x, y, size, pixels, kws={}): - """Create a 'canvas' based on an arbitrary function fn:ℂ🠖ℕ - - fn: function visualized - x: lower-left (smallest) real coordinate - y: lower-left (smallest) imaginary coordinate - size: numeric range of value to plot in each coord - pixels: size of generated graph in pixels (square) - - Canvas is NumPy array of dtype uint8 (0 <= n <= 255) - """ - xspan, yspan = pixels, pixels - canvas = np.empty(shape=(xspan, yspan), dtype=np.uint8) - for row, col in product(range(xspan), range(yspan)): - real = x - (size/2) + (size * col/xspan) - imag = y - (size/2) + (size * row/yspan) - z0 = complex(real, imag) - escape = fn(z0, **kws) or 0 - canvas[row, col] = escape - return canvas - - -def visualize(canvas): - "Visualize an arbitrary canvas of 8-bit unsigned ints" - fig, ax = plt.subplots(figsize=(8, 8)) - ax.get_xaxis().set_visible(False) - ax.get_yaxis().set_visible(False) - ax.imshow(canvas) diff --git a/versions/02/test/test_canvas_A.py b/versions/02/test/test_canvas_A.py deleted file mode 100644 index 8e1ebc2..0000000 --- a/versions/02/test/test_canvas_A.py +++ /dev/null @@ -1,25 +0,0 @@ -import unittest -from random import randrange -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 256 - - def test_canvas_size(self): - for n in range(8): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def tearDown(self): - pass # clean up resources here... - diff --git a/versions/02/test/test_canvas_B.py b/versions/02/test/test_canvas_B.py deleted file mode 100644 index 4b2a47d..0000000 --- a/versions/02/test/test_canvas_B.py +++ /dev/null @@ -1,43 +0,0 @@ -import unittest -from random import randrange -import numpy as np -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 256 - - def test_canvas_size(self): - for n in range(8): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def test_canvas_type(self): - self.assertIsInstance(self.base_canvas, np.ndarray) - - def test_min_max(self): - self.assertTrue(self.base_canvas.max() <= self.max_pix_val) - self.assertIn(self.base_canvas.min(), [0, 1, 2]) # actually 0 - - def test_val_distribution(self): - # simple_fn has approx equal value distribution along diagonal - diag = np.diag(self.base_canvas) - vals, counts = np.unique(diag, return_counts=True) - self.assertFalse(counts.max() > counts.min() + 1) - - def tearDown(self): - # clean up resources here... - pass - - -if __name__ == '__main__': - unittest.main() \ No newline at end of file diff --git a/versions/02/test/test_canvas_C.py b/versions/02/test/test_canvas_C.py deleted file mode 100644 index c1db3b2..0000000 --- a/versions/02/test/test_canvas_C.py +++ /dev/null @@ -1,56 +0,0 @@ -import unittest -from random import randrange -import numpy as np -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 256 - - def test_canvas_size(self): - for n in range(8): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def test_canvas_type(self): - self.assertIsInstance(self.base_canvas, np.ndarray) - - def test_min_max(self): - self.assertTrue(self.base_canvas.max() <= self.max_pix_val) - self.assertIn(self.base_canvas.min(), [0, 1, 2]) # actually 0 - - def test_val_distribution(self): - # simple_fn has approx equal value distribution along diagonal - diag = np.diag(self.base_canvas) - vals, counts = np.unique(diag, return_counts=True) - self.assertFalse(counts.max() > counts.min() + 1) - - def tearDown(self): - # clean up resources here... - pass - - -class TestCanvasDocs(unittest.TestCase): - def setUp(self): - self.fn = lambda c: max(int(c.real), int(c.imag)) % 256 - self.canvas = make_canvas(self.fn, 0, 0, 800, 800) - - def test_position_values(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x, y], self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - -if __name__ == '__main__': - unittest.main() \ No newline at end of file diff --git a/versions/02/test/test_points.py b/versions/02/test/test_points.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/03/fractal/__init__.py b/versions/03/fractal/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/03/fractal/julia.py b/versions/03/fractal/julia.py deleted file mode 100644 index 239da3a..0000000 --- a/versions/03/fractal/julia.py +++ /dev/null @@ -1,12 +0,0 @@ -try: - from numba import njit -except ImportError: - njit = lambda f: f - -@njit -def julia(z:complex, c:complex=-0.1+0.65j, orbits:int=255) -> int: - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + c - return orbits diff --git a/versions/03/fractal/koch.py b/versions/03/fractal/koch.py deleted file mode 100644 index 2f275d7..0000000 --- a/versions/03/fractal/koch.py +++ /dev/null @@ -1,26 +0,0 @@ -"""Draw a Koch Snowflake - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np - -def snowflake(pixels=800, N=5): - """Draw a Koch snowflake of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, the interior of the snowflake is rendered, - not only the boundary outline. - - Encode points outside the snowflake as 0. - Encode points added to snowflake at iteration n as value n. - - >>> canvas = snowflake(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - \ No newline at end of file diff --git a/versions/03/fractal/mandelbrot.py b/versions/03/fractal/mandelbrot.py deleted file mode 100644 index 45eb704..0000000 --- a/versions/03/fractal/mandelbrot.py +++ /dev/null @@ -1,28 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - >>> mandelbrot(0.0965-0.638j) - 17 - - # Might need to increase orbits to resolve some points - >>> mandelbrot(0.106225-0.6376125j, orbits=1000) - 291 - - # If z0 isn't coercible to complex, TypeError - >>> mandelbrot('X') - Traceback (most recent call last): - File "", line 1, in - File "/home/davidmertz/git/INE/unittest/01-Doctest/mandelbrot1.py", line 4, in mandelbrot - if abs(z) > 2.0: - TypeError: bad operand type for abs(): 'str' - - # Orbits must be integer. Traceback abbreviated below - >>> mandelbrot(0.0965-0.638j, orbits=3.1) - Traceback (most recent call last): - TypeError: 'float' object cannot be interpreted as an integer - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 \ No newline at end of file diff --git "a/versions/03/fractal/sierpi\305\204ski.py" "b/versions/03/fractal/sierpi\305\204ski.py" deleted file mode 100644 index 9cd3170..0000000 --- "a/versions/03/fractal/sierpi\305\204ski.py" +++ /dev/null @@ -1,50 +0,0 @@ -"""Draw Sierpiński fractals - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np - -def gasket(pixels=800, N=5): - """Draw a Sierpiński gasket of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the gasket as 0. - Encode points removed from gasket at iteration n as value n. - - >>> pixels, N = 500, 6 - >>> canvas = gasket(pixels, N) - >>> canvas.shape - (500, 500) - - Each iteration adds 1/9th remaining points, but also increasing - values for them at each iteration. Check weak lower bound. - - >>> canvas.sum() >= (pixels**2)/9 * N - True - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - - -def carpet(pixels=800, N=5): - """Draw a Sierpiński carpet of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the carpet as 0. - Encode points removed from carpet at iteration n as value n. - - >>> canvas = carpet(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas diff --git a/versions/03/fractal/visualize.py b/versions/03/fractal/visualize.py deleted file mode 100644 index 70c2812..0000000 --- a/versions/03/fractal/visualize.py +++ /dev/null @@ -1,33 +0,0 @@ -import numpy as np -from itertools import product -import matplotlib.pyplot as plt - - -def make_canvas(fn, x, y, size, pixels, kws={}): - """Create a 'canvas' based on an arbitrary function fn:ℂ🠖ℕ - - fn: function visualized - x: real coordinate of center - y: imaginary coordinate of center - size: numeric range of value to plot in each coord - pixels: size of generated graph in pixels (square) - - Canvas is NumPy array of dtype uint8 (0 <= n <= 255) - """ - xspan, yspan = pixels, pixels - canvas = np.empty(shape=(xspan, yspan), dtype=np.uint8) - for row, col in product(range(xspan), range(yspan)): - real = x - (size/2) + (size * col/xspan) - imag = y - (size/2) + (size * row/yspan) - z0 = complex(real, imag) - escape = fn(z0, **kws) or 0 - canvas[row, col] = escape - return canvas - - -def visualize(canvas): - "Visualize an arbitrary canvas of 8-bit unsigned ints" - fig, ax = plt.subplots(figsize=(7, 7)) - ax.get_xaxis().set_visible(False) - ax.get_yaxis().set_visible(False) - ax.imshow(canvas) diff --git a/versions/03/test/__init__.py b/versions/03/test/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/03/test/test_points.py b/versions/03/test/test_points.py deleted file mode 100644 index caa2150..0000000 --- a/versions/03/test/test_points.py +++ /dev/null @@ -1,26 +0,0 @@ -import sys -import os -import unittest -import doctest -from random import random - -@unittest.skipIf(os.environ.get('SKIP_RANDOM'), "Skipping on ENV setting") -class TestRandom(unittest.TestCase): - def test_random(self): - for i in range(10): - r = random() - with self.subTest(r=r): - self.assertTrue(r < 0.9, msg="Value exceeds bounds") - - -from fractal import mandelbrot -from fractal import julia -from fractal import koch -from fractal import sierpiński - -def load_tests(loader, tests, ignore): - tests.addTests(doctest.DocTestSuite(mandelbrot)) - tests.addTests(doctest.DocTestSuite(julia)) - tests.addTests(doctest.DocTestSuite(koch)) - tests.addTests(doctest.DocTestSuite(sierpiński)) - return tests \ No newline at end of file diff --git a/versions/04/fractal/__init__.py b/versions/04/fractal/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/04/fractal/julia.py b/versions/04/fractal/julia.py deleted file mode 100644 index 239da3a..0000000 --- a/versions/04/fractal/julia.py +++ /dev/null @@ -1,12 +0,0 @@ -try: - from numba import njit -except ImportError: - njit = lambda f: f - -@njit -def julia(z:complex, c:complex=-0.1+0.65j, orbits:int=255) -> int: - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + c - return orbits diff --git a/versions/04/fractal/koch.py b/versions/04/fractal/koch.py deleted file mode 100644 index 2f275d7..0000000 --- a/versions/04/fractal/koch.py +++ /dev/null @@ -1,26 +0,0 @@ -"""Draw a Koch Snowflake - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np - -def snowflake(pixels=800, N=5): - """Draw a Koch snowflake of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, the interior of the snowflake is rendered, - not only the boundary outline. - - Encode points outside the snowflake as 0. - Encode points added to snowflake at iteration n as value n. - - >>> canvas = snowflake(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - \ No newline at end of file diff --git a/versions/04/test/__init__.py b/versions/04/test/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/04/test/test_canvas.py b/versions/04/test/test_canvas.py deleted file mode 100644 index 54f3807..0000000 --- a/versions/04/test/test_canvas.py +++ /dev/null @@ -1,79 +0,0 @@ -import sys -import unittest -from random import randrange -import numpy as np -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 255 - - def test_canvas_size(self): - for n in range(8): - with self.subTest(n=n): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def test_canvas_type(self): - self.assertIsInstance(self.base_canvas, np.ndarray) - - def test_min_max(self): - self.assertTrue(self.base_canvas.max() <= self.max_pix_val) - self.assertIn(self.base_canvas.min(), [0, 1, 2]) # actually 0 - - def test_val_distribution(self): - # simple_fn has approx equal value distribution along diagonal - diag = np.diag(self.base_canvas) - vals, counts = np.unique(diag, return_counts=True) - self.assertFalse(counts.max() > counts.min() + 1) - - def tearDown(self): - # clean up resources here... - pass - - -class TestCanvasDocs(unittest.TestCase): - def setUp(self): - self.fn = lambda c: max(int(c.real), int(c.imag)) % 255 - self.canvas = make_canvas(self.fn, 0, 0, 800, 800) - self.center = 400 - - @unittest.expectedFailure - def test_position_values_lowerleft(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x, y], self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - @unittest.skipUnless(sys.version_info >= (3, 6), - "F-strings require recent Pythons") - def test_div_zero(self): - with self.assertRaises(ZeroDivisionError): - denom = "0" - x = 1/int(f"{denom}") - - @unittest.skipIf(sys.platform.startswith("linux"), "Do not test on Linux") - def test_broken_math(self): - self.assertEqual(2+2, 5) - - def test_position_center(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x+self.center, y+self.center], - self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - -if __name__ == '__main__': - unittest.main() \ No newline at end of file diff --git a/versions/04/test_failure.out b/versions/04/test_failure.out deleted file mode 100644 index 89d7fa0..0000000 --- a/versions/04/test_failure.out +++ /dev/null @@ -1,31 +0,0 @@ -============================= test session starts ============================== -platform linux -- Python 3.8.2, pytest-6.1.2, py-1.9.0, pluggy-0.13.1 -- /home/dmertz/miniconda3/envs/INE/bin/python -cachedir: .pytest_cache -rootdir: /home/dmertz/git/INE/unittest/04-PyTest/Fractal -plugins: xdist-2.1.0, forked-1.2.0 -collecting ... collected 1 item - -test/test_failure.py::test_np_failA FAILED [100%] - -=================================== FAILURES =================================== -________________________________ test_np_failA _________________________________ - - def test_np_failA(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) -> assert (a == b).all() -E assert False -E + where False = () -E + where = array([1, 1, 1, 1, 1]) == array([1, 1, 3, 0, 1]) -E +array([1, 1, 1, 1, 1]) -E -array([1, 1, 3, 0, 1]) -E Full diff: -E - array([1, 1, 3, 0, 1]) -E ? ^ ^ -E + array([1, 1, 1, 1, 1]) -E ? ^ ^.all - -test/test_failure.py:6: AssertionError -=========================== short test summary info ============================ -FAILED test/test_failure.py::test_np_failA - assert False -============================== 1 failed in 0.12s =============================== diff --git a/versions/05/Mandelbrot.md b/versions/05/Mandelbrot.md deleted file mode 100644 index 52e531b..0000000 --- a/versions/05/Mandelbrot.md +++ /dev/null @@ -1,22 +0,0 @@ -The function, `mandelbrot()` is a calculation of how many "orbits" the -iterative function $z_{n+1}=z_{n}^{2}+c$ takes until a given point on -the complex plane "escapes." The *Mandelbrot Set* is the collection of -only those points, $z_0$, that never diverge under this function. -Famously, the boundary of this set is a *fractal*, showing increasingly -more details over every finite number of iterations. - - # Do we calculate escape for every point? - >>> from random import random - >>> from fractal.mandelbrot import mandelbrot - - # We wish to try a large number of points - >>> escapes = [] - >>> for _ in range(100_000): - ... real = random() * 4 - 2 - ... imag = random() * 4 - 2 - ... z0 = complex(real, imag) - ... escapes.append(mandelbrot(z0, orbits=255)) - - # Do we always get good values? - >>> all(0 <= esc <= 255 for esc in escapes) - True \ No newline at end of file diff --git a/versions/05/fractal/__init__.py b/versions/05/fractal/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/05/fractal/julia.py b/versions/05/fractal/julia.py deleted file mode 100644 index 239da3a..0000000 --- a/versions/05/fractal/julia.py +++ /dev/null @@ -1,12 +0,0 @@ -try: - from numba import njit -except ImportError: - njit = lambda f: f - -@njit -def julia(z:complex, c:complex=-0.1+0.65j, orbits:int=255) -> int: - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + c - return orbits diff --git a/versions/05/fractal/koch.py b/versions/05/fractal/koch.py deleted file mode 100644 index 2f275d7..0000000 --- a/versions/05/fractal/koch.py +++ /dev/null @@ -1,26 +0,0 @@ -"""Draw a Koch Snowflake - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np - -def snowflake(pixels=800, N=5): - """Draw a Koch snowflake of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, the interior of the snowflake is rendered, - not only the boundary outline. - - Encode points outside the snowflake as 0. - Encode points added to snowflake at iteration n as value n. - - >>> canvas = snowflake(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - \ No newline at end of file diff --git a/versions/05/fractal/mandelbrot.py b/versions/05/fractal/mandelbrot.py deleted file mode 100644 index 3ffec1d..0000000 --- a/versions/05/fractal/mandelbrot.py +++ /dev/null @@ -1,29 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - >>> mandelbrot(0.0965-0.638j) - 17 - - # Might need to increase orbits to resolve some points - >>> mandelbrot(0.106225-0.6376125j, orbits=1000) - 291 - - # If z0 isn't coercible to complex, TypeError - >>> mandelbrot('X') - Traceback (most recent call last): - File "", line 1, in - File "/home/davidmertz/git/INE/unittest/01-Doctest/mandelbrot1.py", line 4, in mandelbrot - if abs(z) > 2.0: - TypeError: bad operand type for abs(): 'str' - - # Orbits must be integer. Traceback abbreviated below - >>> mandelbrot(0.0965-0.638j, orbits=3.1) - Traceback (most recent call last): - TypeError: 'float' object cannot be interpreted as an integer - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 - return orbits \ No newline at end of file diff --git "a/versions/05/fractal/sierpi\305\204ski.py" "b/versions/05/fractal/sierpi\305\204ski.py" deleted file mode 100644 index 692ef57..0000000 --- "a/versions/05/fractal/sierpi\305\204ski.py" +++ /dev/null @@ -1,58 +0,0 @@ -"""Draw Sierpiński fractals - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np -from itertools import product - -def gasket(pixels=3**6, N=5): - """Draw a Sierpiński gasket of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, an increasing value is given for each removal. - - Encode points inside the gasket as 0. - Encode points removed from gasket at iteration n as value n. - - >>> pixels, N = 500, 6 - >>> canvas = gasket(pixels, N) - >>> canvas.shape - (500, 500) - - Each iteration adds 1/9th remaining points, but also increasing - values for them at each iteration. Check weak lower bound. - - >>> canvas.sum() >= (pixels**2)/9 * N - True - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - - for i in range(N+1, 1, -1): - # Check if each is center division - stride = pixels/3**i - for x, y in product(range(pixels), range(pixels)): - if (x//stride % 3, y//stride % 3) == (1, 1): - canvas[x, y] = i - - return canvas - - -def carpet(pixels=800, N=5): - """Draw a Sierpiński carpet of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the carpet as 0. - Encode points removed from carpet at iteration n as value n. - - >>> canvas = carpet(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas diff --git a/versions/05/fractal/visualize.py b/versions/05/fractal/visualize.py deleted file mode 100644 index c41e245..0000000 --- a/versions/05/fractal/visualize.py +++ /dev/null @@ -1,39 +0,0 @@ -import numpy as np -from itertools import product -import matplotlib.pyplot as plt - - -def make_canvas(fn, x, y, size, pixels, kws={}): - """Create a 'canvas' based on an arbitrary function fn:ℂ🠖ℕ - - fn: function visualized - x: real coordinate of center - y: imaginary coordinate of center - size: numeric range of value to plot in each coord - pixels: size of generated graph in pixels (square) - - Canvas is NumPy array of dtype uint8 (0 <= n <= 255) - """ - xspan, yspan = pixels, pixels - canvas = np.empty(shape=(xspan, yspan), dtype=np.uint8) - for row, col in product(range(xspan), range(yspan)): - real = x - (size/2) + (size * col/xspan) - imag = y - (size/2) + (size * row/yspan) - z0 = complex(real, imag) - escape = fn(z0, **kws) or 0 - canvas[row, col] = escape - return canvas - - -def visualize(canvas, stretch_palette=False, cmap='viridis'): - "Visualize an arbitrary canvas of 8-bit unsigned ints" - if stretch_palette: - m = canvas.max() - if m < 128: - canvas[canvas==0] = m*2 - elif m <= 192: - canvas[canvas==0] = 255 - fig, ax = plt.subplots(figsize=(7, 7)) - ax.get_xaxis().set_visible(False) - ax.get_yaxis().set_visible(False) - ax.imshow(canvas, cmap=cmap) diff --git a/versions/05/test/__init__.py b/versions/05/test/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/05/test/test_canvas.py b/versions/05/test/test_canvas.py deleted file mode 100644 index 54f3807..0000000 --- a/versions/05/test/test_canvas.py +++ /dev/null @@ -1,79 +0,0 @@ -import sys -import unittest -from random import randrange -import numpy as np -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 255 - - def test_canvas_size(self): - for n in range(8): - with self.subTest(n=n): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def test_canvas_type(self): - self.assertIsInstance(self.base_canvas, np.ndarray) - - def test_min_max(self): - self.assertTrue(self.base_canvas.max() <= self.max_pix_val) - self.assertIn(self.base_canvas.min(), [0, 1, 2]) # actually 0 - - def test_val_distribution(self): - # simple_fn has approx equal value distribution along diagonal - diag = np.diag(self.base_canvas) - vals, counts = np.unique(diag, return_counts=True) - self.assertFalse(counts.max() > counts.min() + 1) - - def tearDown(self): - # clean up resources here... - pass - - -class TestCanvasDocs(unittest.TestCase): - def setUp(self): - self.fn = lambda c: max(int(c.real), int(c.imag)) % 255 - self.canvas = make_canvas(self.fn, 0, 0, 800, 800) - self.center = 400 - - @unittest.expectedFailure - def test_position_values_lowerleft(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x, y], self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - @unittest.skipUnless(sys.version_info >= (3, 6), - "F-strings require recent Pythons") - def test_div_zero(self): - with self.assertRaises(ZeroDivisionError): - denom = "0" - x = 1/int(f"{denom}") - - @unittest.skipIf(sys.platform.startswith("linux"), "Do not test on Linux") - def test_broken_math(self): - self.assertEqual(2+2, 5) - - def test_position_center(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x+self.center, y+self.center], - self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - -if __name__ == '__main__': - unittest.main() \ No newline at end of file diff --git a/versions/05/test/test_failure.py b/versions/05/test/test_failure.py deleted file mode 100644 index c86211e..0000000 --- a/versions/05/test/test_failure.py +++ /dev/null @@ -1,12 +0,0 @@ -import numpy as np - -def test_np_failA(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) - assert (a == b).all() - - -def test_np_failB(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) - np.testing.assert_array_equal(a, b) \ No newline at end of file diff --git a/versions/05/test/test_numbers.py b/versions/05/test/test_numbers.py deleted file mode 100644 index bc89acb..0000000 --- a/versions/05/test/test_numbers.py +++ /dev/null @@ -1,104 +0,0 @@ -import pytest -from pytest import param -import numpy as np -from server.number_server import make_server -from fractal.sequences import scatter -from statistics import mean - -@pytest.fixture(scope="session") -def pixels(): - return 200 - - -@pytest.fixture(scope="module") -def zero_seq(): - zero_seq = make_server() - zero_seq.command('START ZEROES') - yield zero_seq - zero_seq.command('FLUSH') - zero_seq.command('STOP') - - -@pytest.fixture(scope="function") -def slow_seq_A(): - slow_seq = make_server() - slow_seq.command('START STOCHASTIC_SLOW') - yield slow_seq - slow_seq.command('FLUSH') - slow_seq.command('STOP') - - -@pytest.fixture(scope="function") -def slow_seq_B(): - slow_seq = make_server() - slow_seq.command('START STOCHASTIC_SLOW') - yield slow_seq - slow_seq.command('FLUSH') - slow_seq.command('STOP') - - -def test_density(slow_seq_A, slow_seq_B, pixels): - canvas = scatter(slow_seq_A, slow_seq_B, pixels=pixels) - ratio = np.count_nonzero(canvas)/pixels**2 - assert 0.25 < ratio < 0.40 - - -def test_zeroes(zero_seq): - # Server gives all zeroes and fetches more than buffer - assert zero_seq.n_ready == 50 - assert all(n == 0 for n in zero_seq.get(1000)) - - -@pytest.fixture -def make_slow_seq(): - seqs = [] - # Inner function to return one server object - def _slow_seq(): - slow_seq = make_server() - slow_seq.command('START STOCHASTIC_SLOW') - seqs.append(slow_seq) - return slow_seq - - # yield the inner function - yield _slow_seq - - # Cleanup all of the manufactured fixtures - for seq in seqs: - seq.command('FLUSH') - seq.command('STOP') - - -def test_density2(make_slow_seq, pixels): - canvas = scatter(make_slow_seq(), make_slow_seq(), pixels=200) - ratio = np.count_nonzero(canvas)/pixels**2 - assert 0.25 < ratio < 0.40 - - -@pytest.fixture(scope="module", - params=['PRIMES', 'FIBONACCI', 'NATURAL', - 'STOCHASTIC_INCREASING', 'STOCHASTIC_SLOW']) -def seq_kind(request): - seq = make_server() - seq.command(f'START {request.param}') - yield seq - seq.command('FLUSH') - seq.command('STOP') - - -def test_ascending_ints(seq_kind): - nums = seq_kind.get(1000) - # Only integers in produced list - assert all(isinstance(n, int) for n in nums) - # Loosely ascending order - assert mean(nums[:100]) < mean(nums[450:550]) < mean(nums[-100:]) - - -@pytest.fixture(scope="function", params=[2, 3, 4, 5]) -def fixnum(request): - return request.param - - -@pytest.mark.parametrize("num", [param(7), param(8)]) -def test_param_product(fixnum, num): - assert True - \ No newline at end of file diff --git a/versions/05/test/test_points.py b/versions/05/test/test_points.py deleted file mode 100644 index f82f715..0000000 --- a/versions/05/test/test_points.py +++ /dev/null @@ -1,33 +0,0 @@ -from fractions import Fraction -import pytest -from fractal.sierpiński import gasket - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3, 2, id="9x9 canvas; 2 iterations"), - pytest.param(3**5, 2), pytest.param(3**5, 3), - pytest.param(3**7, 2), pytest.param(3**7, 3), pytest.param(3**7, 5)]) -def test_outside_set(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert len(canvas[canvas==0]) == remaining_zeros - - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3+1, 2), pytest.param(3**5+1, 2), pytest.param(3**5-1, 3), - pytest.param(3**7-1, 2), pytest.param(3**7+1, 3), pytest.param(3**7-2, 5)]) -@pytest.mark.xfail -def test_rounding_errors(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert len(canvas[canvas==0]) == remaining_zeros - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3+1, 2), pytest.param(3**5+1, 2), pytest.param(3**5-1, 3), - pytest.param(3**7-1, 2), pytest.param(3**7+1, 3), pytest.param(3**7-2, 5)]) -def test_approx_outside_set(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert 0.9 < len(canvas[canvas==0])/remaining_zeros < 1.1 diff --git a/versions/05/test/test_visualize.py b/versions/05/test/test_visualize.py deleted file mode 100644 index 263d220..0000000 --- a/versions/05/test/test_visualize.py +++ /dev/null @@ -1,49 +0,0 @@ -import numpy as np -import pytest -from fractal.visualize import visualize - - -def test_stretch_null(): - "If most values are used, canvas not modified" - canvas = np.random.randint(256, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - assert (canvas == original).all() - assert canvas.min() == 0 - - -def test_stretch_small(): - "If only a few values are used, convert zeros to 2*max" - canvas = np.random.randint(33, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - # should change some (many) pixels - assert (canvas != original).any() - assert canvas.min() > 0 - # the new max should be 64 (prior max was 32) - assert canvas.max() == 64 - # next largest is 32 - assert canvas[canvas < 64].max() == 32 - - -def test_stretch_medium(): - "If moderately more than half values used, convert zeros to 255" - canvas = np.random.randint(151, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - # should change some (many) pixels - assert (canvas != original).any() - assert canvas.min() > 0 - # the new max should be 255 (prior max was 150) - assert canvas.max() == 255 - # next largest is 150 - assert canvas[canvas < 255].max() == 150 - - -@pytest.mark.xfail -def test_nostretch(): - "If stretch_palette=False, should not change values" - canvas = np.random.randint(33, size=(800, 800), dtype=np.uint8) - visualize(canvas, stretch_palette=False) - # should NOT change any pixels - assert canvas.min() > 0 \ No newline at end of file diff --git a/versions/06/Mandelbrot.md b/versions/06/Mandelbrot.md deleted file mode 100644 index 52e531b..0000000 --- a/versions/06/Mandelbrot.md +++ /dev/null @@ -1,22 +0,0 @@ -The function, `mandelbrot()` is a calculation of how many "orbits" the -iterative function $z_{n+1}=z_{n}^{2}+c$ takes until a given point on -the complex plane "escapes." The *Mandelbrot Set* is the collection of -only those points, $z_0$, that never diverge under this function. -Famously, the boundary of this set is a *fractal*, showing increasingly -more details over every finite number of iterations. - - # Do we calculate escape for every point? - >>> from random import random - >>> from fractal.mandelbrot import mandelbrot - - # We wish to try a large number of points - >>> escapes = [] - >>> for _ in range(100_000): - ... real = random() * 4 - 2 - ... imag = random() * 4 - 2 - ... z0 = complex(real, imag) - ... escapes.append(mandelbrot(z0, orbits=255)) - - # Do we always get good values? - >>> all(0 <= esc <= 255 for esc in escapes) - True \ No newline at end of file diff --git a/versions/06/fractal/__init__.py b/versions/06/fractal/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/06/fractal/julia.py b/versions/06/fractal/julia.py deleted file mode 100644 index 239da3a..0000000 --- a/versions/06/fractal/julia.py +++ /dev/null @@ -1,12 +0,0 @@ -try: - from numba import njit -except ImportError: - njit = lambda f: f - -@njit -def julia(z:complex, c:complex=-0.1+0.65j, orbits:int=255) -> int: - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + c - return orbits diff --git a/versions/06/fractal/koch.py b/versions/06/fractal/koch.py deleted file mode 100644 index 2f275d7..0000000 --- a/versions/06/fractal/koch.py +++ /dev/null @@ -1,26 +0,0 @@ -"""Draw a Koch Snowflake - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np - -def snowflake(pixels=800, N=5): - """Draw a Koch snowflake of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, the interior of the snowflake is rendered, - not only the boundary outline. - - Encode points outside the snowflake as 0. - Encode points added to snowflake at iteration n as value n. - - >>> canvas = snowflake(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas - \ No newline at end of file diff --git a/versions/06/fractal/mandelbrot.py b/versions/06/fractal/mandelbrot.py deleted file mode 100644 index 3ffec1d..0000000 --- a/versions/06/fractal/mandelbrot.py +++ /dev/null @@ -1,29 +0,0 @@ -def mandelbrot(z0:complex, orbits:int=255) -> int: - """Find the escape orbit of points under Mandelbrot iteration - - >>> mandelbrot(0.0965-0.638j) - 17 - - # Might need to increase orbits to resolve some points - >>> mandelbrot(0.106225-0.6376125j, orbits=1000) - 291 - - # If z0 isn't coercible to complex, TypeError - >>> mandelbrot('X') - Traceback (most recent call last): - File "", line 1, in - File "/home/davidmertz/git/INE/unittest/01-Doctest/mandelbrot1.py", line 4, in mandelbrot - if abs(z) > 2.0: - TypeError: bad operand type for abs(): 'str' - - # Orbits must be integer. Traceback abbreviated below - >>> mandelbrot(0.0965-0.638j, orbits=3.1) - Traceback (most recent call last): - TypeError: 'float' object cannot be interpreted as an integer - """ - z = z0 - for n in range(orbits): - if abs(z) > 2.0: - return n - z = z * z + z0 - return orbits \ No newline at end of file diff --git a/versions/06/fractal/sequences.py b/versions/06/fractal/sequences.py deleted file mode 100644 index cacd9ac..0000000 --- a/versions/06/fractal/sequences.py +++ /dev/null @@ -1,30 +0,0 @@ -import numpy as np - - -def scatter(seq1, seq2, pixels=800, ncolor=16): - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - color = 1 - while True: - x, y = seq1.get_one(), seq2.get_one() - if max(x, y) >= pixels: - break - canvas[x, y] = color - color += 1 # Cycle through 15 non-zero colors - color = 1 if color >= ncolor else color - - return canvas - - -def scatter_step(seq1, seq2, pixels=800, ncolor=16): - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - color = 1 - while True: - x, y = seq1.get_one(), seq2.get_one() - if max(x, y) >= pixels: - break - canvas[x, :y+1] = color - canvas[:x+1, y] = color - color += 1 # Cycle through non-zero colors - color = 1 if color >= ncolor else color - - return canvas \ No newline at end of file diff --git "a/versions/06/fractal/sierpi\305\204ski.py" "b/versions/06/fractal/sierpi\305\204ski.py" deleted file mode 100644 index 692ef57..0000000 --- "a/versions/06/fractal/sierpi\305\204ski.py" +++ /dev/null @@ -1,58 +0,0 @@ -"""Draw Sierpiński fractals - -Unlike some other fractals, evaluating a single point for membership -is dramatically inefficient. Creating an entire canvas is more direct -""" -import numpy as np -from itertools import product - -def gasket(pixels=3**6, N=5): - """Draw a Sierpiński gasket of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, an increasing value is given for each removal. - - Encode points inside the gasket as 0. - Encode points removed from gasket at iteration n as value n. - - >>> pixels, N = 500, 6 - >>> canvas = gasket(pixels, N) - >>> canvas.shape - (500, 500) - - Each iteration adds 1/9th remaining points, but also increasing - values for them at each iteration. Check weak lower bound. - - >>> canvas.sum() >= (pixels**2)/9 * N - True - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - - for i in range(N+1, 1, -1): - # Check if each is center division - stride = pixels/3**i - for x, y in product(range(pixels), range(pixels)): - if (x//stride % 3, y//stride % 3) == (1, 1): - canvas[x, y] = i - - return canvas - - -def carpet(pixels=800, N=5): - """Draw a Sierpiński carpet of `N` iterations on canvas of size `pixels` - - More than 255 iterations are not be legible, and are not allowed. - For this implementation, a different value is given for each removal. - - Encode points inside the carpet as 0. - Encode points removed from carpet at iteration n as value n. - - >>> canvas = carpet(500, N=6) - >>> canvas.shape - (500, 500) - """ - assert N < 256 - canvas = np.zeros(shape=(pixels, pixels), dtype=np.uint8) - # Implementation here... - return canvas diff --git a/versions/06/fractal/visualize.py b/versions/06/fractal/visualize.py deleted file mode 100644 index c41e245..0000000 --- a/versions/06/fractal/visualize.py +++ /dev/null @@ -1,39 +0,0 @@ -import numpy as np -from itertools import product -import matplotlib.pyplot as plt - - -def make_canvas(fn, x, y, size, pixels, kws={}): - """Create a 'canvas' based on an arbitrary function fn:ℂ🠖ℕ - - fn: function visualized - x: real coordinate of center - y: imaginary coordinate of center - size: numeric range of value to plot in each coord - pixels: size of generated graph in pixels (square) - - Canvas is NumPy array of dtype uint8 (0 <= n <= 255) - """ - xspan, yspan = pixels, pixels - canvas = np.empty(shape=(xspan, yspan), dtype=np.uint8) - for row, col in product(range(xspan), range(yspan)): - real = x - (size/2) + (size * col/xspan) - imag = y - (size/2) + (size * row/yspan) - z0 = complex(real, imag) - escape = fn(z0, **kws) or 0 - canvas[row, col] = escape - return canvas - - -def visualize(canvas, stretch_palette=False, cmap='viridis'): - "Visualize an arbitrary canvas of 8-bit unsigned ints" - if stretch_palette: - m = canvas.max() - if m < 128: - canvas[canvas==0] = m*2 - elif m <= 192: - canvas[canvas==0] = 255 - fig, ax = plt.subplots(figsize=(7, 7)) - ax.get_xaxis().set_visible(False) - ax.get_yaxis().set_visible(False) - ax.imshow(canvas, cmap=cmap) diff --git a/versions/06/server/number_server.py b/versions/06/server/number_server.py deleted file mode 100644 index 1ba39ce..0000000 --- a/versions/06/server/number_server.py +++ /dev/null @@ -1,113 +0,0 @@ -from threading import Thread -from queue import Queue -from time import sleep -from itertools import repeat, count, cycle -import gzip -from pickle import load -from os.path import join, dirname, abspath -from collections import namedtuple -from random import randrange - -MOD_DIR = dirname(abspath(__file__)) - - -def numbers(actions, sequence): - instruction, gen = None, None - while True: - sleep(1e-6) # wait a microsecond - - if not actions.empty(): - instruction = actions.get_nowait() - - if instruction is not None: - if instruction.startswith('STOP'): - break - - elif instruction.startswith('START'): - _, seq_name = instruction.split() - if seq_name == 'PRIMES': - gen = primes() - elif seq_name == 'FIBONACCI': - gen = fibs() - elif seq_name == 'NATURAL': - gen = count(1) - elif seq_name == 'STOCHASTIC_INCREASING': - gen = stochastic_increasing() - elif seq_name == 'STOCHASTIC_SLOW': - gen = stochastic_slow() - else: - gen = repeat(0) - - elif instruction.startswith('FLUSH'): - while not sequence.empty(): - sequence.get() - gen = None - - instruction = None - - while gen is not None and not sequence.full(): - sequence.put(next(gen)) - - -def primes(): - # FIXME: implementation cycles through 1 million primes - with gzip.open(join(MOD_DIR, 'primes.pkl.gz')) as fh: - p1m = load(fh) - yield from cycle(p1m) - - -def fibs(): - a, b = 1, 1 - while True: - yield a - a, b = b, a+b - - -def stochastic_increasing(): - for top in count(1): - yield randrange(top) - - -def stochastic_slow(): - top = 2 - while True: - n = randrange(top) - yield n - if n+1 == top: - top += 1 - - -class Server: - def __init__(self, thread, actions, sequence): - self._thread = thread - self._actions = actions - self._sequence = sequence - - def get(self, n=1): - return [self._sequence.get() for _ in range(n)] - - def get_one(self): - return self.get(n=1)[0] - - def command(self, cmd): - self._actions.put(cmd) - if cmd == 'STOP': - self._thread = None - self._sequence = None - self._actions = None - return self - - @property - def n_ready(self): - return self._sequence.qsize() - - -def make_server(queued=50): - actions = Queue() - sequence = Queue(maxsize=queued) - thread = Thread(target=numbers, - name="Number server", - args=(actions, sequence)) - thread.start() - return Server(thread, actions, sequence) - diff --git a/versions/06/server/primes.pkl.gz b/versions/06/server/primes.pkl.gz deleted file mode 100644 index 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--git a/versions/06/test/__init__.py b/versions/06/test/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/versions/06/test/test_canvas.py b/versions/06/test/test_canvas.py deleted file mode 100644 index 54f3807..0000000 --- a/versions/06/test/test_canvas.py +++ /dev/null @@ -1,79 +0,0 @@ -import sys -import unittest -from random import randrange -import numpy as np -from fractal.visualize import * - -class TestCanvas(unittest.TestCase): - "Test that a canvas has expected properties" - def setUp(self): - self.min_pix_val = 0 - self.max_pix_val = 255 - self.base_canvas = make_canvas(self.simple_fn, 0, 0, 800, 800) - - def simple_fn(self, c): - return max(int(c.real), int(c.imag)) % 255 - - def test_canvas_size(self): - for n in range(8): - with self.subTest(n=n): - pixels = 2**n - size = randrange(0, pixels) - canvas = make_canvas(self.simple_fn, 0, 0, size, pixels) - self.assertEqual(canvas.shape, (pixels, pixels), - msg=f"Unexpected canvas size {canvas.shape}") - - def test_canvas_type(self): - self.assertIsInstance(self.base_canvas, np.ndarray) - - def test_min_max(self): - self.assertTrue(self.base_canvas.max() <= self.max_pix_val) - self.assertIn(self.base_canvas.min(), [0, 1, 2]) # actually 0 - - def test_val_distribution(self): - # simple_fn has approx equal value distribution along diagonal - diag = np.diag(self.base_canvas) - vals, counts = np.unique(diag, return_counts=True) - self.assertFalse(counts.max() > counts.min() + 1) - - def tearDown(self): - # clean up resources here... - pass - - -class TestCanvasDocs(unittest.TestCase): - def setUp(self): - self.fn = lambda c: max(int(c.real), int(c.imag)) % 255 - self.canvas = make_canvas(self.fn, 0, 0, 800, 800) - self.center = 400 - - @unittest.expectedFailure - def test_position_values_lowerleft(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x, y], self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - @unittest.skipUnless(sys.version_info >= (3, 6), - "F-strings require recent Pythons") - def test_div_zero(self): - with self.assertRaises(ZeroDivisionError): - denom = "0" - x = 1/int(f"{denom}") - - @unittest.skipIf(sys.platform.startswith("linux"), "Do not test on Linux") - def test_broken_math(self): - self.assertEqual(2+2, 5) - - def test_position_center(self): - "Verify values in correct place on canvas" - for x in range(0, 100, 10): - for y in range(50, 150, 10): - self.assertEqual(self.canvas[x+self.center, y+self.center], - self.fn(x+y*1j), - msg=f"Error for simple_fn({x}+{y}j)") - - -if __name__ == '__main__': - unittest.main() \ No newline at end of file diff --git a/versions/06/test/test_failure.py b/versions/06/test/test_failure.py deleted file mode 100644 index c86211e..0000000 --- a/versions/06/test/test_failure.py +++ /dev/null @@ -1,12 +0,0 @@ -import numpy as np - -def test_np_failA(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) - assert (a == b).all() - - -def test_np_failB(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) - np.testing.assert_array_equal(a, b) \ No newline at end of file diff --git a/versions/06/test/test_fixture.py b/versions/06/test/test_fixture.py deleted file mode 100644 index dd1e1aa..0000000 --- a/versions/06/test/test_fixture.py +++ /dev/null @@ -1,46 +0,0 @@ -import pytest - -# fixtures documentation order example -order = [] - -@pytest.fixture -def f1(f3): - order.append("f1") - - -@pytest.fixture -def f3(): - order.append("f3") - - -@pytest.fixture(autouse=True) -def a1(): - order.append("a1") - - -@pytest.fixture -def f2(): - order.append("f2") - - -@pytest.fixture(scope="session") -def s1(): - order.append("s1") - - -@pytest.fixture(scope="module") -def m1(): - order.append("m1") - - -def test_order(f1, m1, f2, s1): - assert order == ["s1", "m1", "a1", "f3", "f1", "f2"] - - -@pytest.fixture -def val(): - return 3 - - -def test_value(val): - assert val == 3 \ No newline at end of file diff --git a/versions/06/test/test_points.py b/versions/06/test/test_points.py deleted file mode 100644 index f82f715..0000000 --- a/versions/06/test/test_points.py +++ /dev/null @@ -1,33 +0,0 @@ -from fractions import Fraction -import pytest -from fractal.sierpiński import gasket - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3, 2, id="9x9 canvas; 2 iterations"), - pytest.param(3**5, 2), pytest.param(3**5, 3), - pytest.param(3**7, 2), pytest.param(3**7, 3), pytest.param(3**7, 5)]) -def test_outside_set(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert len(canvas[canvas==0]) == remaining_zeros - - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3+1, 2), pytest.param(3**5+1, 2), pytest.param(3**5-1, 3), - pytest.param(3**7-1, 2), pytest.param(3**7+1, 3), pytest.param(3**7-2, 5)]) -@pytest.mark.xfail -def test_rounding_errors(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert len(canvas[canvas==0]) == remaining_zeros - -@pytest.mark.parametrize("pixels,N", [ - pytest.param(3**3+1, 2), pytest.param(3**5+1, 2), pytest.param(3**5-1, 3), - pytest.param(3**7-1, 2), pytest.param(3**7+1, 3), pytest.param(3**7-2, 5)]) -def test_approx_outside_set(pixels, N): - canvas = gasket(pixels, N) - pix_count = pixels ** 2 - remaining_zeros = Fraction(8, 9)**N * pix_count - assert 0.9 < len(canvas[canvas==0])/remaining_zeros < 1.1 diff --git a/versions/06/test/test_visualize.py b/versions/06/test/test_visualize.py deleted file mode 100644 index 263d220..0000000 --- a/versions/06/test/test_visualize.py +++ /dev/null @@ -1,49 +0,0 @@ -import numpy as np -import pytest -from fractal.visualize import visualize - - -def test_stretch_null(): - "If most values are used, canvas not modified" - canvas = np.random.randint(256, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - assert (canvas == original).all() - assert canvas.min() == 0 - - -def test_stretch_small(): - "If only a few values are used, convert zeros to 2*max" - canvas = np.random.randint(33, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - # should change some (many) pixels - assert (canvas != original).any() - assert canvas.min() > 0 - # the new max should be 64 (prior max was 32) - assert canvas.max() == 64 - # next largest is 32 - assert canvas[canvas < 64].max() == 32 - - -def test_stretch_medium(): - "If moderately more than half values used, convert zeros to 255" - canvas = np.random.randint(151, size=(800, 800), dtype=np.uint8) - original = canvas.copy() - visualize(canvas, stretch_palette=True) - # should change some (many) pixels - assert (canvas != original).any() - assert canvas.min() > 0 - # the new max should be 255 (prior max was 150) - assert canvas.max() == 255 - # next largest is 150 - assert canvas[canvas < 255].max() == 150 - - -@pytest.mark.xfail -def test_nostretch(): - "If stretch_palette=False, should not change values" - canvas = np.random.randint(33, size=(800, 800), dtype=np.uint8) - visualize(canvas, stretch_palette=False) - # should NOT change any pixels - assert canvas.min() > 0 \ No newline at end of file diff --git a/versions/06/test_failure.out b/versions/06/test_failure.out deleted file mode 100644 index e43dd1b..0000000 --- a/versions/06/test_failure.out +++ /dev/null @@ -1,31 +0,0 @@ -============================= test session starts ============================== -platform linux -- Python 3.8.2, pytest-6.1.2, py-1.9.0, pluggy-0.13.1 -- /home/dmertz/miniconda3/envs/INE/bin/python -cachedir: .pytest_cache -rootdir: /home/dmertz/git/INE/unittest/04-PyTest/Fractal -plugins: xdist-2.1.0, forked-1.2.0 -collecting ... collected 1 item - -test/test_failure.py::test_np_failA FAILED [100%] - -=================================== FAILURES =================================== -________________________________ test_np_failA _________________________________ - - def test_np_failA(): - a = np.ones(5, dtype=int) - b = np.array([1, 1, 3, 0, 1], dtype=int) -> assert (a == b).all() -E assert False -E + where False = () -E + where = array([1, 1, 1, 1, 1]) == array([1, 1, 3, 0, 1]) -E +array([1, 1, 1, 1, 1]) -E -array([1, 1, 3, 0, 1]) -E Full diff: -E - array([1, 1, 3, 0, 1]) -E ? ^ ^ -E + array([1, 1, 1, 1, 1]) -E ? ^ ^.all - -test/test_failure.py:6: AssertionError -=========================== short test summary info ============================ -FAILED test/test_failure.py::test_np_failA - assert False -============================== 1 failed in 0.16s =============================== From 30a8dd29de09de2529b646649f94b96ec8dd87f1 Mon Sep 17 00:00:00 2001 From: "ISPATCEE\\A0864142" Date: Wed, 29 Dec 2021 12:21:57 +0100 Subject: [PATCH 2/2] Added a comment --- fractal/mandelbrot.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/fractal/mandelbrot.py b/fractal/mandelbrot.py index 3ffec1d..e7c1ad8 100644 --- a/fractal/mandelbrot.py +++ b/fractal/mandelbrot.py @@ -1,6 +1,7 @@ def mandelbrot(z0:complex, orbits:int=255) -> int: """Find the escape orbit of points under Mandelbrot iteration + # Just added a comment to make any change >>> mandelbrot(0.0965-0.638j) 17 @@ -26,4 +27,4 @@ def mandelbrot(z0:complex, orbits:int=255) -> int: if abs(z) > 2.0: return n z = z * z + z0 - return orbits \ No newline at end of file + return orbits

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