====== Python Representation of RVs ======

I wanted to use Python to define a random variable in a pythonic way.  That way, I could intuitively work with random variables from within python and potentially even use some of Python's more powerful language features in conjunction with these random variables.

x[1] <m>right~P(X=1)</m>

x[1, {'y':2, 'z':3}] <m>right~P(X=1 | Y=2, Z=3)</m>


<code python rv.py>
def rv(distFunc):
	class RV(object):
		def __init__(self, obj):
			self.obj = obj;
		def __hash__(self):
			return distFunc.__hash__();
		def __eq__(self, other):
			return self.__hash__() == other.__hash__();
		def __getitem__(self, key):
			# Case:  x[1] ==> P(X=1)
			if key.__class__ is int:
				return distFunc(self.obj, key);
			# Case:  x[1, {'y':2, 'z':3}] ==> P(X=1 | Y=2, Z=3)
			elif key[1].__class__ is dict:
				return distFunc(self.obj, key[0], key[1]);
			else:
				raise TypeError, """Invalid arguments.\n
Valid format:
    x[1] ==> P(X=1)
    x[1, {'y':2, 'z':3}] ==> P(X=1 | Y=2, Z=3)""";

	return property(RV);
</code>

<code python rv_example.py>
class C(object):
	@rv
	def y(self, _y, *_cond):
		return .4;
	@rv
	def x(self, _x, *_cond):
		if len(_cond) <= 0:
			return .5;
		else:
			return .5*self.y[_cond[0][self.y]];
</code>

~~ODT~~
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~~DISCUSSION~~