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11 changes: 10 additions & 1 deletion diffusion2d.py
Original file line number Diff line number Diff line change
Expand Up @@ -38,21 +38,30 @@ def __init__(self):
self.dt = None

def initialize_domain(self, w=10., h=10., dx=0.1, dy=0.1):
assert isinstance(w,float), 'w must be a float'
assert isinstance(h,float), 'h must be a float'
assert isinstance(dx,float), 'dx must be a float'
assert isinstance(dy,float), 'dy must be a float'
self.w = w
self.h = h
self.dx = dx
self.dy = dy
self.nx = int(w / dx)
#self.nx = int(h / dx) # Introduction of a bug on purpose to check unit tests
self.ny = int(h / dy)

def initialize_physical_parameters(self, d=4., T_cold=300, T_hot=700):
def initialize_physical_parameters(self, d=4., T_cold=300., T_hot=700.):
assert isinstance(d,float), 'd must be a float'
assert isinstance(T_cold,float), 'T_cold must be a float'
assert isinstance(T_hot,float), 'T_hot must be a float'
self.D = d
self.T_cold = T_cold
self.T_hot = T_hot

# Computing a stable time step
dx2, dy2 = self.dx * self.dx, self.dy * self.dy
self.dt = dx2 * dy2 / (2 * self.D * (dx2 + dy2))
#self.dt = dx2 * dy2 / (self.D * (dx2 + dy2)) # Introduction of a bug on purpose to check integration tests

print("dt = {}".format(self.dt))

Expand Down
5 changes: 5 additions & 0 deletions requirements.txt
Original file line number Diff line number Diff line change
@@ -0,0 +1,5 @@
numpy
matplotlib
pytest
coverage
tox>=4
51 changes: 51 additions & 0 deletions tests/integration/test_diffusion2d.py
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,7 @@
"""

from diffusion2d import SolveDiffusion2D
import numpy as np


def test_initialize_physical_parameters():
Expand All @@ -11,9 +12,59 @@ def test_initialize_physical_parameters():
"""
solver = SolveDiffusion2D()

w = 12.
h = 8.
dx = 0.5
dy = 0.5
solver.initialize_domain(w=w, h=h, dx=dx, dy=dy)

d = 5.
T_cold = 280.
T_hot = 600.
solver.initialize_physical_parameters(d=d, T_cold=T_cold, T_hot=T_hot)

# Manual calculation of expected dt from the formula used in diffusion2d.py
# dt = dx^2 * dy^2 / (2 * D * (dx^2 + dy^2))
dx2 = dx * dx
dy2 = dy * dy
expected_dt = dx2 * dy2 / (2 * d * (dx2 + dy2))

assert np.isclose(solver.dt, expected_dt), 'dt not computed correctly'


def test_set_initial_condition():
"""
Checks function SolveDiffusion2D.get_initial_function
"""
solver = SolveDiffusion2D()

w = 10.
h = 9.
dx = 0.2
dy = 0.2
solver.initialize_domain(w=w, h=h, dx=dx, dy=dy)

d = 4.
T_cold = 150.
T_hot = 500.
solver.initialize_physical_parameters(d=d, T_cold=T_cold, T_hot=T_hot)

u = solver.set_initial_condition()

# Manual calculation of expected initial condition u
nx = int (w / dx)
ny = int (h / dy)
expected_u = T_cold * np.ones((nx, ny))

r = 2
cx = 5
cy = 5
r2 = r ** 2

for i in range(nx):
for j in range(ny):
p2 = (i * dx - cx) ** 2 + (j * dy - cy) ** 2
if p2 < r2:
expected_u[i, j] = T_hot

np.testing.assert_array_equal(u, expected_u, 'Initial condition u not set correctly')
89 changes: 75 additions & 14 deletions tests/unit/test_diffusion2d_functions.py
Original file line number Diff line number Diff line change
Expand Up @@ -3,24 +3,85 @@
"""

from diffusion2d import SolveDiffusion2D
import numpy as np
import unittest


def test_initialize_domain():
class TestSolveDiffusion2D(unittest.TestCase):
"""
Check function SolveDiffusion2D.initialize_domain
Test class for SolveDiffusion2D
"""
solver = SolveDiffusion2D()
def setUp(self):
"""
Setup function
"""
self.solver = SolveDiffusion2D()

def test_initialize_domain(self):
"""
Check function SolveDiffusion2D.initialize_domain
"""

def test_initialize_physical_parameters():
"""
Checks function SolveDiffusion2D.initialize_domain
"""
solver = SolveDiffusion2D()
w = 12.
h = 8.
dx = 0.5
dy = 0.4

expected_nx = int(w / dx)
expected_ny = int(h / dy)

def test_set_initial_condition():
"""
Checks function SolveDiffusion2D.get_initial_function
"""
solver = SolveDiffusion2D()
self.solver.initialize_domain(w=w, h=h, dx=dx, dy=dy)

self.assertEqual(self.solver.nx, expected_nx, 'nx not correctly initialized, wrong value')
self.assertEqual(self.solver.ny, expected_ny, 'ny not correctly initialized, wrong value')

def test_initialize_physical_parameters(self):
"""
Checks function SolveDiffusion2D.initialize_domain
"""
self.solver.dx = 0.14
self.solver.dy = 0.16

d = 6.
T_cold = 290.
T_hot = 450.

dx2 = self.solver.dx * self.solver.dx
dy2 = self.solver.dy * self.solver.dy
expected_dt = dx2 * dy2 / (2 * d * (dx2 + dy2))

self.solver.initialize_physical_parameters(d=d, T_cold=T_cold, T_hot=T_hot)

self.assertEqual(self.solver.D, d, 'D not correctly initialized, wrong value')
self.assertEqual(self.solver.T_cold, T_cold, 'T_cold not correctly initialized, wrong value')
self.assertEqual(self.solver.T_hot, T_hot, 'T_hot not correctly initialized, wrong value')
self.assertEqual(self.solver.dt, expected_dt, 'dt not correctly initialized, wrong value')

def test_set_initial_condition(self):
"""
Checks function SolveDiffusion2D.get_initial_function
"""
self.solver.w = 10.
self.solver.h = 10.
self.solver.dx = 0.5
self.solver.dy = 0.5
self.solver.D = 7.
self.solver.T_cold = 100.
self.solver.T_hot = 500.

self.solver.nx = int(self.solver.w / self.solver.dx)
self.solver.ny = int(self.solver.h / self.solver.dy)

u = self.solver.set_initial_condition()

# Check shape
self.assertEqual(u.shape, (self.solver.nx, self.solver.ny), 'Initial condition u has wrong shape')

# Check whether a point far from the center is cold
self.assertEqual(u[0,0], self.solver.T_cold, 'Initial condition u far from center not cold')

# Check whether the center point is hot
self.assertEqual(u[10,10], self.solver.T_hot, 'Initial condition u at center not hot')

# Check whether both values appear
self.assertTrue(np.any(u == self.solver.T_cold), 'Initial condition u does not contain T_cold')
self.assertTrue(np.any(u == self.solver.T_hot), 'Initial condition u does not contain T_hot')
8 changes: 8 additions & 0 deletions tox.toml
Original file line number Diff line number Diff line change
@@ -0,0 +1,8 @@
requires = ["tox>=4"]
env_list = ["py"]

[testenv]
description = "Runs tests automatically"
deps = ["-rrequirements.txt"]
setenv = {PYTHONPATH = "{toxindir}"}
commands = [["pytest", "tests", "-v"]]