def testSubtraction(self):
"""
The binary subtraction operator
should, when applied to two matricies, product
the difference of the two matricies if and only if
their dimensions are equal.
"""
A = Matrix.fromArray([
[0,2,3],
[4,2,6],
[4,5,6]
])
B = Matrix.fromArray([
[4, 9, 6],
[7, 8, 1],
[0, 13,2]
])
C = Matrix.fromArray([
[1,2,3],
[4,5,6]
])
diffAB = Matrix.fromArray([
[-4, -7, -3],
[-3, -6, 5],
[4, -8, 4]
])
self.assertEqual(A - B, diffAB)
self.assertEqual(A - C, None)
def testAddition(self):
"""
The binary addition operator
should, when applied to two matricies, product
the sum of the two matricies if and only if
their dimensions are equal.
"""
A = Matrix.fromArray([
[0,2,3],
[4,2,6],
[4,5,6]
])
B = Matrix.fromArray([
[4, 9, 6],
[7, 8, 1],
[0, 13,2]
])
C = Matrix.fromArray([
[1,2,3],
[4,5,6]
])
sumAB = Matrix.fromArray([
[4, 11, 9],
[11, 10, 7],
[4, 18, 8]
])
self.assertEqual(A + B, sumAB)
self.assertEqual(A + C, None)
def setUp(self):
self.matrix = Matrix.fromArray([
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
])
self.identity = Matrix.fromArray([
[1, 0, 0],
[0, 1, 0],
[0, 0, 1]
])
def testMultiply(self):
"""
The binary multiplication operator
should, when applied to two matricies, produce
the matrix product if and only if the number of rows in the left
operand is equal to the number of columns in the right operand.
Matrix multiplication is generally not communitive, so
the product AB should differ from the product BA (usually)
"""
matrixA = self.matrix
matrixB = self.matrix.transpose()
productAB = matrixA * matrixB
productBA = matrixB * matrixA
self.assertEqual(productAB, [
[14,32,50],
[32,77,122],
[50,122,194]
])
self.assertEqual(productBA, [
[66,78,90],
[78,93,108],
[90,108,126]
])
matrixC = Matrix.fromArray([
[1,2,3],
[4,5,6]
])
self.assertEqual(matrixA * matrixC, None)
def testTranspose(self):
"""
The transpose method return a copy of the matrix
with the columns and rows exchanged.
"""
transpose = Matrix.fromArray([
[1, 4, 7],
[2, 5, 8],
[3, 6, 9]
])
self.assertEqual(self.matrix.transpose(), transpose)
def testDeterminant(self):
"""
The determinant method should return None if the
matrix is not square. It should return zero
if the matrix is singular.
"""
nonSquare = Matrix.fromArray([
[1,2,3],
[4,5,6]
])
singularMatrix = self.matrix
self.assertEqual(nonSquare.determinant(), None)
self.assertEqual(singularMatrix.determinant(), 0)
def computeDeterminant(model):
request.det = Matrix.fromArray(model['matrix']).determinant()
def buildMatricies(model):
request.matrixA = Matrix.fromArray(model['lvalue'])
request.matrixB = Matrix.fromArray(model['rvalue'])
def computeDeterminant(model):
request.det = Matrix.fromArray(model['matrix']).determinant()
def buildMatricies(model):
request.matrixA = Matrix.fromArray(model['lvalue'])
request.matrixB = Matrix.fromArray(model['rvalue'])
def testDimension(self):
matrix = Matrix.fromArray([[1, 2, 3], [4, 5, 6]])
self.assertEqual(util.dimension(matrix), (3, 2))
def testDimension(self):
matrix = Matrix.fromArray([
[1,2,3],
[4,5,6]
])
self.assertEqual(util.dimension(matrix), (3,2))
