Python cosh Examples

Example #1

File: gradient_math.py Project: ARoefer/kineverse

def cosh(expr):
    """Hyperbolic cosine"""
    if type(expr) == GC:
        return GC(
            se.cosh(expr.expr),
            {s: d * se.sinh(expr.expr)
             for s, d in expr.gradients.items()})
    return se.cosh(expr)

Example #2

def test_conv12b():
    x = sympy.Symbol("x")
    y = sympy.Symbol("y")
    assert sympify(sympy.sinh(x / 3)) == sinh(Symbol("x") / 3)
    assert sympify(sympy.cosh(x / 3)) == cosh(Symbol("x") / 3)
    assert sympify(sympy.tanh(x / 3)) == tanh(Symbol("x") / 3)
    assert sympify(sympy.coth(x / 3)) == coth(Symbol("x") / 3)
    assert sympify(sympy.asinh(x / 3)) == asinh(Symbol("x") / 3)
    assert sympify(sympy.acosh(x / 3)) == acosh(Symbol("x") / 3)
    assert sympify(sympy.atanh(x / 3)) == atanh(Symbol("x") / 3)
    assert sympify(sympy.acoth(x / 3)) == acoth(Symbol("x") / 3)

Example #3

def test_conv12():
    x = Symbol("x")
    y = Symbol("y")
    assert sinh(x / 3) == sinh(sympy.Symbol("x") / 3)
    assert cosh(x / 3) == cosh(sympy.Symbol("x") / 3)
    assert tanh(x / 3) == tanh(sympy.Symbol("x") / 3)
    assert coth(x / 3) == coth(sympy.Symbol("x") / 3)
    assert asinh(x / 3) == asinh(sympy.Symbol("x") / 3)
    assert acosh(x / 3) == acosh(sympy.Symbol("x") / 3)
    assert atanh(x / 3) == atanh(sympy.Symbol("x") / 3)
    assert acoth(x / 3) == acoth(sympy.Symbol("x") / 3)

    assert sinh(x / 3)._sympy_() == sympy.sinh(sympy.Symbol("x") / 3)
    assert cosh(x / 3)._sympy_() == sympy.cosh(sympy.Symbol("x") / 3)
    assert tanh(x / 3)._sympy_() == sympy.tanh(sympy.Symbol("x") / 3)
    assert coth(x / 3)._sympy_() == sympy.coth(sympy.Symbol("x") / 3)
    assert asinh(x / 3)._sympy_() == sympy.asinh(sympy.Symbol("x") / 3)
    assert acosh(x / 3)._sympy_() == sympy.acosh(sympy.Symbol("x") / 3)
    assert atanh(x / 3)._sympy_() == sympy.atanh(sympy.Symbol("x") / 3)
    assert acoth(x / 3)._sympy_() == sympy.acoth(sympy.Symbol("x") / 3)

Example #4

File: test_sympy_conv.py Project: cbehan/symengine.py

def test_conv12b():
    x = sympy.Symbol("x")
    y = sympy.Symbol("y")
    assert sympify(sympy.sinh(x/3)) == sinh(Symbol("x") / 3)
    assert sympify(sympy.cosh(x/3)) == cosh(Symbol("x") / 3)
    assert sympify(sympy.tanh(x/3)) == tanh(Symbol("x") / 3)
    assert sympify(sympy.coth(x/3)) == coth(Symbol("x") / 3)
    assert sympify(sympy.asinh(x/3)) == asinh(Symbol("x") / 3)
    assert sympify(sympy.acosh(x/3)) == acosh(Symbol("x") / 3)
    assert sympify(sympy.atanh(x/3)) == atanh(Symbol("x") / 3)
    assert sympify(sympy.acoth(x/3)) == acoth(Symbol("x") / 3)

Example #5

File: test_sympy_conv.py Project: cbehan/symengine.py

def test_conv12():
    x = Symbol("x")
    y = Symbol("y")
    assert sinh(x/3) == sinh(sympy.Symbol("x") / 3)
    assert cosh(x/3) == cosh(sympy.Symbol("x") / 3)
    assert tanh(x/3) == tanh(sympy.Symbol("x") / 3)
    assert coth(x/3) == coth(sympy.Symbol("x") / 3)
    assert asinh(x/3) == asinh(sympy.Symbol("x") / 3)
    assert acosh(x/3) == acosh(sympy.Symbol("x") / 3)
    assert atanh(x/3) == atanh(sympy.Symbol("x") / 3)
    assert acoth(x/3) == acoth(sympy.Symbol("x") / 3)

    assert sinh(x/3)._sympy_() == sympy.sinh(sympy.Symbol("x") / 3)
    assert cosh(x/3)._sympy_() == sympy.cosh(sympy.Symbol("x") / 3)
    assert tanh(x/3)._sympy_() == sympy.tanh(sympy.Symbol("x") / 3)
    assert coth(x/3)._sympy_() == sympy.coth(sympy.Symbol("x") / 3)
    assert asinh(x/3)._sympy_() == sympy.asinh(sympy.Symbol("x") / 3)
    assert acosh(x/3)._sympy_() == sympy.acosh(sympy.Symbol("x") / 3)
    assert atanh(x/3)._sympy_() == sympy.atanh(sympy.Symbol("x") / 3)
    assert acoth(x/3)._sympy_() == sympy.acoth(sympy.Symbol("x") / 3)