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)
Beispiel #3
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def test_det():
    assert det(A1) == 1
    assert round(det(A2), 14) == 8
    assert round(det(A3)) == 1834
    assert round(det(A4)) == 4443376
    assert det(A5) == 1
    assert round(det(A6)) == 78356463
    assert det(zeros(3)) == 0
Beispiel #4
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def test_det():
    assert det(A1) == 1
    assert round(det(A2), 14) == 8
    assert round(det(A3)) == 1834
    assert round(det(A4)) == 4443376
    assert det(A5) == 1
    assert round(det(A6)) == 78356463
    assert det(zeros(3)) == 0
def test_matrix_creation():
    assert diag([1, 2, 3]) == matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])
    A1 = ones(2, 3)
    assert A1.rows == 2 and A1.cols == 3
    for a in A1:
        assert a == 1
    A2 = zeros(3, 2)
    assert A2.rows == 3 and A2.cols == 2
    for a in A2:
        assert a == 0
    assert randmatrix(10) != randmatrix(10)
def test_matrix_creation():
    assert diag([1, 2, 3]) == matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])
    A1 = ones(2, 3)
    assert A1.rows == 2 and A1.cols == 3
    for a in A1:
        assert a == 1
    A2 = zeros(3, 2)
    assert A2.rows == 3 and A2.cols == 2
    for a in A2:
        assert a == 0
    assert randmatrix(10) != randmatrix(10)
def test_matrix_creation():
    assert diag([1, 2, 3]) == matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])
    A1 = ones(2, 3)
    assert A1.rows == 2 and A1.cols == 3
    for a in A1:
        assert a == 1
    A2 = zeros(3, 2)
    assert A2.rows == 3 and A2.cols == 2
    for a in A2:
        assert a == 0
    assert randmatrix(10) != randmatrix(10)
    one = mpf(1)
    assert hilbert(3) == matrix([[one, one / 2, one / 3], [one / 2, one / 3, one / 4], [one / 3, one / 4, one / 5]])
Beispiel #8
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def test_singular():
    mp.dps = 15
    A = [[5.6, 1.2], [7./15, .1]]
    B = repr(zeros(2))
    b = [1, 2]
    def _assert_ZeroDivisionError(statement):
        try:
            eval(statement)
            assert False
        except (ZeroDivisionError, ValueError):
            pass
    for i in ['lu_solve(%s, %s)' % (A, b), 'lu_solve(%s, %s)' % (B, b),
              'qr_solve(%s, %s)' % (A, b), 'qr_solve(%s, %s)' % (B, b)]:
        _assert_ZeroDivisionError(i)
Beispiel #9
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def test_singular():
    mp.dps = 15
    A = [[5.6, 1.2], [7. / 15, .1]]
    B = repr(zeros(2))
    b = [1, 2]

    def _assert_ZeroDivisionError(statement):
        try:
            eval(statement)
            assert False
        except (ZeroDivisionError, ValueError):
            pass

    for i in [
            'lu_solve(%s, %s)' % (A, b),
            'lu_solve(%s, %s)' % (B, b),
            'qr_solve(%s, %s)' % (A, b),
            'qr_solve(%s, %s)' % (B, b)
    ]:
        _assert_ZeroDivisionError(i)