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matrix_test.py
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matrix_test.py
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import unittest
from matrix import Matrix, MatrixError
class MatriserTest(unittest.TestCase):
def testColumns(self):
matrix = Matrix([1, 3, 4], [-3, 2.5, 8], [3, 6, 1], [3, 0, 5])
self.assertEquals(
matrix.rows(),
[[1, 3, 4], [-3, 2.5, 8], [3, 6, 1], [3, 0, 5]])
self.assertEquals(
matrix.columns(),
[[1, -3, 3, 3], [3, 2.5, 6, 0], [4, 8, 1, 5]])
def testSum(self):
matrix1 = Matrix([2,1],[3,5])
matrix2 = Matrix([4,7],[6,0])
self.assertEquals(
Matrix([6, 8], [9, 5]),
matrix1 + matrix2)
def testEquality(self):
self.assertEquals(
Matrix([1,0],[0,1]),
Matrix([1,0],[0,1]))
def testSumDifDim(self):
matrix1 = Matrix([1,0], [0,1])
matrix2 = Matrix([1,0], [2,3], [4,3])
self.assertRaises(
MatrixError,
lambda: matrix1 + matrix2)
def testEqualityChecksRowLength(self):
self.assertNotEqual(
Matrix([1, 1]),
Matrix([1, 1], [0, 0]))
def testMatricesOnlyNumbers(self):
self.assertRaises(
AssertionError,
lambda: Matrix(['a',1], [0,1]))
def testNumMult(self):
matrix = Matrix([1, 1], [1, 1])
self.assertEquals(
Matrix([2, 2], [2, 2]),
matrix.scal(2))
def testTranspose(self):
matrix = Matrix([1, 2], [3, 4])
self.assertEquals(
Matrix([1, 3], [2, 4]),
matrix.transpose())
matrix2 = Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])
self.assertEquals(
Matrix([1, 4, 7], [2, 5, 8], [3, 6, 9]),
matrix2.transpose())
def testMult(self):
matrix1 = Matrix([1, 0], [0, 1])
matrix2 = Matrix([2, 5], [7, -3])
self.assertEquals(
matrix2,
matrix1 * matrix2)
matrix3 = Matrix([0, 4, 2], [3, 7, 3], [0, 1, 1], [4, 7, 7])
matrix4 = Matrix([1, 2], [0, 5], [4, 8])
self.assertEquals(
matrix3 * matrix4,
Matrix([8, 36], [15, 65], [4, 13], [32, 99]))
def testElement(self):
matrix = Matrix([1, 0, 3], [3, 5, 6])
self.assertEquals(
matrix.element(2, 2),
5)
def testPower(self):
matrix = Matrix([2, 0], [0, 2])
self.assertEquals(
matrix.power(1),
matrix)
self.assertEquals(
matrix.power(3),
Matrix([8, 0], [0, 8]))
self.assertEquals(
Matrix.identity(3),
Matrix([0, 6, 7], [3, -4, 2], [0, 4, 4]).power(0))
self.assertEquals(
Matrix([0.25, 0.0], [0.0, 0.25]),
Matrix([2, 0], [0, 2]).power(-2))
def testZeroMatrix2(self):
self.assertEquals(
Matrix([0, 0, 0], [0, 0, 0]),
Matrix.zero(2, 3))
def testIdentityMatrix(self):
self.assertEquals(
Matrix([1, 0, 0], [0, 1, 0], [0, 0, 1]),
Matrix.identity(3))
def testCofactor(self):
self.assertEquals(
Matrix([1, 3, 7, 0], [0, 0, 4, 3], [-3, 3, -9, 8], [2, 2, 0, 4.5]).minor_matrix(2, 3),
Matrix([1, 3, 0], [-3, 3, 8], [2, 2, 4.5]))
self.assertEquals(
Matrix([1, 0], [0, 1]).minor_matrix(1, 1),
Matrix([1]))
self.assertEquals(
Matrix([1, 0, 0], [0, 1, 0], [0, 0, 1]).minor_matrix(1, 2),
Matrix([0, 0], [0, 1]))
def testIsSquare(self):
self.assertEquals(
Matrix([1]).is_square(),
True)
def testDeterminant(self):
self.assertEquals(
5,
Matrix([5]).det())
self.assertEquals(
1,
Matrix.identity(4).det())
self.assertEquals(
-141,
Matrix([1, 4, 3, 5], [2, 4, 5, 3], [0, 5, 7, 2], [1, 1, 3, 5]).det())
def testAdjugate(self):
matrix = Matrix([2, 0, 0], [0, 2, 0], [0, 0, 2])
self.assertEquals(
Matrix([4, 0, 0], [0, 4, 0], [0, 0, 4]),
matrix.adjugate())
self.assertEquals(
Matrix([7, -3], [-2, 1]),
Matrix([1, 3], [2, 7]).adjugate())
def testInverse(self):
matrix = Matrix([1, 4, 0], [0, -3, 4], [1, 2, 2])
self.assertEquals(
matrix.identity(2),
matrix.identity(2).inverse())
self.assertEquals(
Matrix([7, -3], [-2, 1]),
Matrix([1, 3], [2, 7]).inverse())
self.assertEquals(
matrix.identity(3),
matrix * matrix.inverse())
def testCoFactor(self):
self.assertEquals(
Matrix([1, 0, 0, 5], [0, 1, 0, -8], [0, 0, 1, 3], [4, -2, 1, 7]).cofactor(4, 4),
1.0)
def testElementFunction(self):
self.assertEquals(
Matrix([8, 16], [2, 1]),
Matrix([3, 4], [1, 0]).element_function(lambda x: 2 ** x))
def testSubtraction(self):
self.assertEquals(
Matrix([1, 9], [4, -2]),
Matrix([3, 8], [2, 7]) - Matrix([2, -1], [-2, 9]))
def testConstruct(self):
self.assertEquals(
Matrix([2, 3, 4], [3, 4, 5], [4, 5, 6]),
Matrix.construct(3, 3, lambda x,y: x+y))
unittest.main()