Python cos Examples

Example #1

File: test_cse.py Project: jdoherty7/sumpy

def test_pow_invpow():
    assert cse(1/x**2 + x**2) == \
        ([(x0, x**2)], [x0 + 1/x0])
    assert cse(x**2 + (1 + 1/x**2)/x**2) == \
        ([(x0, x**2), (x1, 1/x0)], [x0 + x1*(x1 + 1)])
    assert cse(1/x**2 + (1 + 1/x**2)*x**2) == \
        ([(x0, x**2), (x1, 1/x0)], [x0*(x1 + 1) + x1])
    assert cse(cos(1/x**2) + sin(1/x**2)) == \
        ([(x0, x**(-2))], [sin(x0) + cos(x0)])
    assert cse(cos(x**2) + sin(x**2)) == \
        ([(x0, x**2)], [sin(x0) + cos(x0)])
    assert cse(y/(2 + x**2) + z/x**2/y) == \
        ([(x0, x**2)], [y/(x0 + 2) + z/(x0*y)])
    assert cse(exp(x**2) + x**2*cos(1/x**2)) == \
        ([(x0, x**2)], [x0*cos(1/x0) + exp(x0)])
    assert cse((1 + 1/x**2)/x**2) == \
        ([(x0, x**(-2))], [x0*(x0 + 1)])
    assert cse(x**(2*y) + x**(-2*y)) == \
        ([(x0, x**(2*y))], [x0 + 1/x0])

Example #2

File: test_cse.py Project: inducer/sumpy

def test_pow_invpow():
    assert cse(1/x**2 + x**2) == \
        ([(x0, x**2)], [x0 + 1/x0])
    assert cse(x**2 + (1 + 1/x**2)/x**2) == \
        ([(x0, x**2), (x1, 1/x0)], [x0 + x1*(x1 + 1)])
    assert cse(1/x**2 + (1 + 1/x**2)*x**2) == \
        ([(x0, x**2), (x1, 1/x0)], [x0*(x1 + 1) + x1])
    assert cse(cos(1/x**2) + sin(1/x**2)) == \
        ([(x0, x**(-2))], [sin(x0) + cos(x0)])
    assert cse(cos(x**2) + sin(x**2)) == \
        ([(x0, x**2)], [sin(x0) + cos(x0)])
    assert cse(y/(2 + x**2) + z/x**2/y) == \
        ([(x0, x**2)], [y/(x0 + 2) + z/(x0*y)])
    assert cse(exp(x**2) + x**2*cos(1/x**2)) == \
        ([(x0, x**2)], [x0*cos(1/x0) + exp(x0)])
    assert cse((1 + 1/x**2)/x**2) == \
        ([(x0, x**(-2))], [x0*(x0 + 1)])
    assert cse(x**(2*y) + x**(-2*y)) == \
        ([(x0, x**(2*y))], [x0 + 1/x0])

Example #3

File: test_cse.py Project: jdoherty7/sumpy

def test_symbols_exhausted_error():
    l = cos(x+y)+x+y+cos(w+y)+sin(w+y)
    sym = [x, y, z]
    with pytest.raises(ValueError):
        print(cse(l, symbols=sym))

Example #4

File: test_cse.py Project: jdoherty7/sumpy

def test_name_conflict_cust_symbols():
    z1 = x0 + y
    z2 = x2 + x3
    l = [cos(z1) + z1, cos(z2) + z2, x0 + x2]
    substs, reduced = cse(l, symbols("x:10"))
    assert [e.subs(dict(substs)) for e in reduced] == l

Example #5

File: test_cse.py Project: jdoherty7/sumpy

def test_name_conflict():
    z1 = x0 + y
    z2 = x2 + x3
    l = [cos(z1) + z1, cos(z2) + z2, x0 + x2]
    substs, reduced = cse(l)
    assert [e.subs(dict(substs)) for e in reduced] == l

Example #6

File: test_cse.py Project: inducer/sumpy

def test_symbols_exhausted_error():
    l_ = cos(x+y)+x+y+cos(w+y)+sin(w+y)
    sym = [x, y, z]
    with pytest.raises(ValueError):
        print(cse(l_, symbols=sym))

Example #7

File: test_cse.py Project: inducer/sumpy

def test_name_conflict_cust_symbols():
    z1 = x0 + y
    z2 = x2 + x3
    l_ = [cos(z1) + z1, cos(z2) + z2, x0 + x2]
    substs, reduced = cse(l_, symbols("x:10"))
    assert [e.subs(dict(substs)) for e in reduced] == l_

Example #8

File: test_cse.py Project: inducer/sumpy

def test_name_conflict():
    z1 = x0 + y
    z2 = x2 + x3
    l_ = [cos(z1) + z1, cos(z2) + z2, x0 + x2]
    substs, reduced = cse(l_)
    assert [e.subs(dict(substs)) for e in reduced] == l_