def __new__(cls, variable, expr, **kwargs):
evaluate = kwargs.pop('evaluate', global_evaluate[0])
variable = repack_if_can(sympify(unpack_if_can(variable)))
for v in pack_if_not(variable):
if not is_Symbol(v):
raise TypeError('variable is not a symbol or matrix symbol: %s' % v)
if not is_Boolean(expr):
raise TypeError('expression is not boolean or relational: %r' % expr)
if evaluate:
return Exist.eval(variable, expr)
return Application.__new__(cls, variable, expr, **kwargs)
def __new__(cls, variable, expr, **kwargs):
"""create AbstractSet by variable and expression
>>> from sympy import *
>>> from symplus.strplus import init_mprinting
>>> init_mprinting()
>>> x, y = symbols('x y')
>>> AbstractSet(x, abs(x)>1)
{x | |x| > 1}
>>> AbstractSet((x,), abs(x)>1)
{x | |x| > 1}
>>> AbstractSet((x, y), abs(x-y)>1)
{(x, y) | |x - y| > 1}
>>> AbstractSet([x, y], abs(x-y)>1)
{(x, y) | |x - y| > 1}
>>> m, n = MatrixSymbol('m', 2, 2), MatrixSymbol('n', 2, 2)
>>> AbstractSet(m, Eq(m[0,0]+m[1,1],0))
{m | 0 == m[0, 0] + m[1, 1]}
>>> AbstractSet((m, x), Eq(det(m),x))
{(m, x) | x == ||m||}
>>> AbstractSet(x, (x>1)&(x<3))
{x | (x < 3) /\ (x > 1)}
>>> AbstractSet(x, x>y)
{x | x > y}
>>> AbstractSet(1, x>y)
Traceback (most recent call last):
...
TypeError: variable is not a symbol or matrix symbol: 1
>>> AbstractSet(x, x+y)
Traceback (most recent call last):
...
TypeError: expression is not boolean or relational: x + y
"""
variable = repack_if_can(sympify(unpack_if_can(variable)))
for v in pack_if_not(variable):
if not is_Symbol(v):
raise TypeError("variable is not a symbol or matrix symbol: %s" % v)
if not is_Boolean(expr):
raise TypeError("expression is not boolean or relational: %r" % expr)
return Set.__new__(cls, variable, expr, **kwargs)