def test_matrix_basic():
A1 = matrix(3)
for i in xrange(3):
A1[i,i] = 1
assert A1 == eye(3)
assert A1 == matrix(A1)
A2 = matrix(3, 2)
assert not A2._matrix__data
A3 = matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
assert list(A3) == range(1, 10)
A3[1,1] = 0
assert not (1, 1) in A3._matrix__data
A4 = matrix([[1, 2, 3], [4, 5, 6]])
A5 = matrix([[6, -1], [3, 2], [0, -3]])
assert A4 * A5 == matrix([[12, -6], [39, -12]])
assert A1 * A3 == A3 * A1 == A3
try:
A2 * A2
assert False
except ValueError:
pass
l = [[10, 20, 30], [40, 0, 60], [70, 80, 90]]
A6 = matrix(l)
assert A6.tolist() == l
assert A6 == eval(repr(A6))
A6 = matrix(A6, force_type=float)
assert A6 == eval(repr(A6))
assert A6*1j == eval(repr(A6*1j))
assert A3 * 10 == 10 * A3 == A6
assert A2.rows == 3
assert A2.cols == 2
A3.rows = 2
A3.cols = 2
assert len(A3._matrix__data) == 3
assert A4 + A4 == 2*A4
try:
A4 + A2
except ValueError:
pass
assert sum(A1 - A1) == 0
A7 = matrix([[1, 2], [3, 4], [5, 6], [7, 8]])
x = matrix([10, -10])
assert A7*x == matrix([-10, -10, -10, -10])
A8 = ones(5)
assert sum((A8 + 1) - (2 - zeros(5))) == 0
assert (1 + ones(4)) / 2 - 1 == zeros(4)
assert eye(3)**10 == eye(3)
try:
A7**2
assert False
except ValueError:
pass
A9 = randmatrix(3)
A10 = matrix(A9)
A9[0,0] = -100
assert A9 != A10
A11 = matrix(randmatrix(2, 3), force_type=mpi)
for a in A11:
assert isinstance(a, mpi)
assert nstr(A9)
def test_matrix_basic():
A1 = matrix(3)
for i in xrange(3):
A1[i, i] = 1
assert A1 == eye(3)
assert A1 == matrix(A1)
A2 = matrix(3, 2)
assert not A2._matrix__data
A3 = matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
assert list(A3) == range(1, 10)
A3[1, 1] = 0
assert not (1, 1) in A3._matrix__data
A4 = matrix([[1, 2, 3], [4, 5, 6]])
A5 = matrix([[6, -1], [3, 2], [0, -3]])
assert A4 * A5 == matrix([[12, -6], [39, -12]])
assert A1 * A3 == A3 * A1 == A3
try:
A2 * A2
assert False
except ValueError:
pass
l = [[10, 20, 30], [40, 0, 60], [70, 80, 90]]
A6 = matrix(l)
assert A6.tolist() == l
assert A6 == eval(repr(A6))
A6 = matrix(A6, force_type=float)
assert A6 == eval(repr(A6))
assert A3 * 10 == 10 * A3 == A6
assert A2.rows == 3
assert A2.cols == 2
A3.rows = 2
A3.cols = 2
assert len(A3._matrix__data) == 3
assert A4 + A4 == 2 * A4
try:
A4 + A2
except ValueError:
pass
assert sum(A1 - A1) == 0
A7 = matrix([[1, 2], [3, 4], [5, 6], [7, 8]])
x = matrix([10, -10])
assert A7 * x == matrix([-10, -10, -10, -10])
A8 = ones(5)
assert sum((A8 + 1) - (2 - zeros(5))) == 0
assert (1 + ones(4)) / 2 - 1 == zeros(4)
assert eye(3)**10 == eye(3)
try:
A7**2
assert False
except ValueError:
pass
A9 = randmatrix(3)
A10 = matrix(A9)
A9[0, 0] = -100
assert A9 != A10
A11 = matrix(randmatrix(2, 3), force_type=mpi)
for a in A11:
assert isinstance(a, mpi)
def test_matrix_transform():
A = matrix([[1, 2], [3, 4], [5, 6]])
assert A.T == A.transpose() == matrix([[1, 3, 5], [2, 4, 6]])
swap_row(A, 1, 2)
assert A == matrix([[1, 2], [5, 6], [3, 4]])
l = [1, 2]
swap_row(l, 0, 1)
assert l == [2, 1]
assert extend(eye(3), [1,2,3]) == matrix([[1,0,0,1],[0,1,0,2],[0,0,1,3]])
def test_matrix_transform():
A = matrix([[1, 2], [3, 4], [5, 6]])
assert A.T == A.transpose() == matrix([[1, 3, 5], [2, 4, 6]])
swap_row(A, 1, 2)
assert A == matrix([[1, 2], [5, 6], [3, 4]])
l = [1, 2]
swap_row(l, 0, 1)
assert l == [2, 1]
assert extend(eye(3), [1, 2, 3]) == matrix([[1, 0, 0, 1], [0, 1, 0, 2],
[0, 0, 1, 3]])
def test_inverse():
for A in [A1, A2, A5]:
inv = inverse(A)
assert mnorm_1(A*inv - eye(A.rows)) < 1.e-14
def test_inverse():
for A in [A1, A2, A5]:
inv = inverse(A)
assert mnorm(A * inv - eye(A.rows), 1) < 1.e-14