def gauss_jordan_switch_column_test(self):
"""Test the gauss jordan algorithm if the first values is zero.
This test checks, if the lines are switched correctly.
"""
rows = 3
cols = 6
data = [
[0, 2, 0, 1, 0, 0],
[2, 3, 0, 0, 1, 0],
[3, 4, 1, 0, 0, 1]
]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
exRes = [
[1.0, 0.0, 0.0],
[0.0, 1.0, 0.0],
[0.0, 0.0, 1.0],
[-0.75, 0.5, 0.25],
[0.5, 0.0, -1.5],
[0.0, 0.0, 1.0]
]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
def gauss_jordan_test(self):
"""Test gauss_jordan algorithm for the calculation of the inverse."""
rows = 3
cols = 6
data = [[1, 2, 0, 1, 0, 0], [2, 3, 0, 0, 1, 0], [3, 4, 1, 0, 0, 1]]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
exRes = [[1, 0, 0], [0, 1, 0], [0, 0, 1], [-3, 2, 1], [2, -1, -2],
[0, 0, 1]]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
def gauss_jordan_linear_equation_system_test(self):
"""Test gauss_jordan algorithm to solve a linear equation system."""
rows = 3
cols = 4
data = [[1, 1, 1, 0], [4, 2, 1, 1], [9, 3, 1, 3]]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
# 2-dimensional list exRes[column][rows]
exRes = [[1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0],
[0.5, -0.5, 0]]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
def gauss_jordan_switch_column_test(self):
"""Test the gauss jordan algorithm if the first values is zero.
This test checks, if the lines are switched correctly.
"""
rows = 3
cols = 6
data = [[0, 2, 0, 1, 0, 0], [2, 3, 0, 0, 1, 0], [3, 4, 1, 0, 0, 1]]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
exRes = [[1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0],
[-0.75, 0.5, 0.25], [0.5, 0.0, -1.5], [0.0, 0.0, 1.0]]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
def gauss_jordan_linear_equation_system_test(self):
"""Test gauss_jordan algorithm to solve a linear equation system."""
rows = 3
cols = 4
data = [
[1, 1, 1, 0],
[4, 2, 1, 1],
[9, 3, 1, 3]
]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
# 2-dimensional list exRes[column][rows]
exRes = [
[1.0, 0.0, 0.0],
[0.0, 1.0, 0.0],
[0.0, 0.0, 1.0],
[0.5, -0.5, 0]
]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
def gauss_jordan_test(self):
"""Test gauss_jordan algorithm for the calculation of the inverse."""
rows = 3
cols = 6
data = [
[1, 2, 0, 1, 0, 0],
[2, 3, 0, 0, 1, 0],
[3, 4, 1, 0, 0, 1]
]
mtrx = Matrix(cols, rows)
mtrx.initialize(data, rowBased=True)
exRes = [
[1, 0, 0],
[0, 1, 0],
[0, 0, 1],
[-3, 2, 1],
[2, -1, -2],
[0, 0, 1]
]
res = mtrx.gauss_jordan()
self.assertEqual(res.matrix, exRes)
