Python Q.complex_elements Beispiele

Beispiel #1

Datei: test_matrices.py Projekt: Daaofer/sympyTest

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X**2), Q.real_elements(X))
    assert ask(Q.real_elements(X**2), Q.integer_elements(X))
    assert ask(Q.real_elements(X+Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X+Y), Q.real_elements(X) & Q.real_elements(Y))
    from sympy.matrices.expressions.hadamard import HadamardProduct
    assert ask(Q.real_elements(HadamardProduct(X, Y)),
                    Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X+Y), Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))
    alpha = Symbol('alpha')
    assert ask(Q.real_elements(alpha*X), Q.real_elements(X) & Q.real(alpha))
    assert ask(Q.real_elements(LofLU(X)), Q.real_elements(X))
    e = Symbol('e', integer=True, negative=True)
    assert ask(Q.real_elements(X**e), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(X**e), Q.real_elements(X)) is None

Beispiel #2

Datei: test_matrices.py Projekt: asmeurer/sympy

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X**2), Q.real_elements(X))
    assert ask(Q.real_elements(X**2), Q.integer_elements(X))
    assert ask(Q.real_elements(X+Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X+Y), Q.real_elements(X) & Q.real_elements(Y))
    from sympy.matrices.expressions.hadamard import HadamardProduct
    assert ask(Q.real_elements(HadamardProduct(X, Y)),
                    Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X+Y), Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))
    alpha = Symbol('alpha')
    assert ask(Q.real_elements(alpha*X), Q.real_elements(X) & Q.real(alpha))
    assert ask(Q.real_elements(LofLU(X)), Q.real_elements(X))
    e = Symbol('e', integer=True, negative=True)
    assert ask(Q.real_elements(X**e), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(X**e), Q.real_elements(X)) is None

Beispiel #3

Datei: test_matrices.py Projekt: Daaofer/sympyTest

def test_matrix_element_sets():
    X = MatrixSymbol('X', 4, 4)
    assert ask(Q.real(X[1, 2]), Q.real_elements(X))
    assert ask(Q.integer(X[1, 2]), Q.integer_elements(X))
    assert ask(Q.complex(X[1, 2]), Q.complex_elements(X))
    assert ask(Q.integer_elements(Identity(3)))
    assert ask(Q.integer_elements(ZeroMatrix(3, 3)))
    from sympy.matrices.expressions.fourier import DFT
    assert ask(Q.complex_elements(DFT(3)))

Beispiel #4

Datei: test_matrices.py Projekt: KonstantinTogoi/sympy

def test_matrix_element_sets():
    X = MatrixSymbol('X', 4, 4)
    assert ask(Q.real(X[1, 2]), Q.real_elements(X))
    assert ask(Q.integer(X[1, 2]), Q.integer_elements(X))
    assert ask(Q.complex(X[1, 2]), Q.complex_elements(X))
    assert ask(Q.integer_elements(Identity(3)))
    assert ask(Q.integer_elements(ZeroMatrix(3, 3)))
    from sympy.matrices.expressions.fourier import DFT
    assert ask(Q.complex_elements(DFT(3)))

Beispiel #5

Datei: test_matrices.py Projekt: mikepcoke/sympy

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.real_elements(X+Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X+Y), Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X+Y), Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))

Beispiel #6

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.real_elements(X + Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X + Y), Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X + Y),
               Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))

Beispiel #7

Datei: test_permutation.py Projekt: mrocklin/computations

def test_assumptions():
    n = Symbol('n')
    A = MatrixSymbol('A', 1, n)
    P = PermutationMatrix(A)
    assert ask(Q.integer_elements(P))
    assert ask(Q.real_elements(P))
    assert ask(Q.complex_elements(P))

Beispiel #8

Datei: test_core.py Projekt: mrocklin/computations

def test_dtype_of():
    X = MatrixSymbol('X', n, n)
    assert 'integer' in dtype_of(X, Q.integer_elements(X))
    assert 'real' in dtype_of(X, Q.real_elements(X))
    assert 'complex' in dtype_of(X, Q.complex_elements(X))

    alpha = Symbol('alpha', integer=True)
    assert 'integer' in dtype_of(alpha)

Beispiel #9

Datei: test_matrices.py Projekt: Maihj/sympy

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.real_elements(X+Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X+Y), Q.real_elements(X) & Q.real_elements(Y))
    from sympy.matrices.expressions.hadamard import HadamardProduct
    assert ask(Q.real_elements(HadamardProduct(X, Y)),
                    Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X+Y), Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))

Beispiel #10

Datei: test_integrative.py Projekt: mrocklin/computations

def test_fftw():
    c = FFTW(y)
    with assuming(Q.complex_elements(y)):
        f = build(c, [y], [DFT(y)], modname='fftw', filename='tmp/fftw.f90')

    x = np.zeros(8, dtype='complex')
    expected = np.fft.fft(x)
    f(x)
    assert np.allclose(expected, x)

Beispiel #11

Datei: test_fftw.py Projekt: mrocklin/computations

def test_code_generation():
    from computations.matrices.fortran.core import generate
    ic = inplace_compile(c)
    with assuming(Q.complex_elements(x)):
        s = generate(ic, [x], [DFT(n)*x])
    with open('tmp/tmpfftw.f90','w') as f:
      f.write(s)
    assert 'use, intrinsic :: iso_c_binding' in s
    assert "include 'fftw3.f03'" in s
    assert isinstance(s, str)

Beispiel #12

Datei: test_matrices.py Projekt: mtadd/sympy

def test_field_assumptions():
    X = MatrixSymbol('X', 4, 4)
    Y = MatrixSymbol('Y', 4, 4)
    assert ask(Q.real_elements(X), Q.real_elements(X))
    assert not ask(Q.integer_elements(X), Q.real_elements(X))
    assert ask(Q.complex_elements(X), Q.real_elements(X))
    assert ask(Q.real_elements(X + Y), Q.real_elements(X)) is None
    assert ask(Q.real_elements(X + Y), Q.real_elements(X) & Q.real_elements(Y))
    from sympy.matrices.expressions.hadamard import HadamardProduct
    assert ask(Q.real_elements(HadamardProduct(X, Y)),
               Q.real_elements(X) & Q.real_elements(Y))
    assert ask(Q.complex_elements(X + Y),
               Q.real_elements(X) & Q.complex_elements(Y))

    assert ask(Q.real_elements(X.T), Q.real_elements(X))
    assert ask(Q.real_elements(X.I), Q.real_elements(X) & Q.invertible(X))
    assert ask(Q.real_elements(Trace(X)), Q.real_elements(X))
    assert ask(Q.integer_elements(Determinant(X)), Q.integer_elements(X))
    assert not ask(Q.integer_elements(X.I), Q.integer_elements(X))

Beispiel #13

Datei: test_integrative.py Projekt: mrocklin/computations

def test_es_toy():
    K = MatrixSymbol('K',n,1)
    phi = MatrixSymbol('phi', n, 1)
    V = MatrixSymbol('V',n,1)

    c = AXPY(1.0, HP(K,phi), DFT(n).T*HP(V,DFT(n)*phi)) + ElemProd(K,phi) + IFFTW(HP(V, DFT(n) * phi)) + FFTW(phi) + ElemProd(V, DFT(n) * phi)
#    show(c)
    with assuming(Q.complex_elements(phi), Q.real_elements(K), Q.real_elements(V)):
        f = build(c, [K,V,phi], [HP(K,phi) + DFT(n).T * HP(V,DFT(n) * phi)],
                modname='es', filename='tmp/es.f90')

Beispiel #14

Datei: core.py Projekt: mrocklin/computations

def dtype_of(expr, *assumptions):
    if hasattr(expr, 'fortran_type'):
        return expr.fortran_type()

    with assuming(*assumptions):
        if ask(Q.integer(expr) | Q.integer_elements(expr)) or expr.is_integer:
            result = 'integer'
        elif ask(Q.real(expr) | Q.real_elements(expr)) or expr.is_real:
            result = 'real(kind=8)'
        elif ask(Q.complex(expr) | Q.complex_elements(expr)) or expr.is_complex:
            result = 'complex(kind=8)'
        else:
            raise TypeError('Could not infer type of %s'%str(expr))
    return result

Beispiel #15

Datei: test_estoy.py Projekt: mrocklin/megatron

def test_compile():
    with assuming(Q.complex_elements(phi), Q.real_elements(K), Q.real_elements(V)):
      result = compile([K,V,phi], [Hphi])
    print result