Python integral Examples

Example #1

File: sympy.py Project: EnterStudios/sage-1

def _sympysage_integral(self):
    """
    EXAMPLES::

        sage: from sympy import Symbol, Integral
        sage: sx = Symbol('x')
        sage: assert integral(x, x, hold=True)._sympy_() == Integral(sx, sx)
        sage: assert integral(x, x, hold=True) == Integral(sx, sx)._sage_()
        sage: assert integral(x, x, 0, 1, hold=True)._sympy_() == Integral(sx, (sx,0,1))
        sage: assert integral(x, x, 0, 1, hold=True) == Integral(sx, (sx,0,1))._sage_()
    """
    from sage.misc.functional import integral
    f, limits = self.function._sage_(), list(self.limits)
    for limit in limits:
        if len(limit) == 1:
            x = limit[0]
            f = integral(f, x._sage_(), hold=True)
        elif len(limit) == 2:
            x, b = limit
            f = integral(f, x._sage_(), b._sage_(), hold=True)
        else:
            x, a, b = limit
            f = integral(f, (x._sage_(), a._sage_(), b._sage_()), hold=True)
    return f

Example #2

File: sympy.py Project: saraedum/sage-renamed

def _sympysage_integral(self):
    """
    EXAMPLES::

        sage: from sympy import Symbol, Integral
        sage: sx = Symbol('x')
        sage: assert integral(x, x, hold=True)._sympy_() == Integral(sx, sx)
        sage: assert integral(x, x, hold=True) == Integral(sx, sx)._sage_()
        sage: assert integral(x, x, 0, 1, hold=True)._sympy_() == Integral(sx, (sx,0,1))
        sage: assert integral(x, x, 0, 1, hold=True) == Integral(sx, (sx,0,1))._sage_()
    """
    from sage.misc.functional import integral
    f, limits = self.function._sage_(), list(self.limits)
    for limit in limits:
        if len(limit) == 1:
            x = limit[0]
            f = integral(f, x._sage_(), hold=True)
        elif len(limit) == 2:
            x, b = limit
            f = integral(f, x._sage_(), b._sage_(), hold=True)
        else:
            x, a, b = limit
            f = integral(f, (x._sage_(), a._sage_(), b._sage_()), hold=True)
    return f