def evaluateStack( s ):
op = s.pop()
if op == 'unary -':
return -evaluateStack( s )
if op in "+-*/^":
op2 = evaluateStack( s )
op1 = evaluateStack( s )
return opn[op]( op1, op2 )
elif op == "PI":
return math.pi # 3.1415926535
elif op == "E":
return math.e # 2.718281828
elif op in fn:
return fn[op]( evaluateStack( s ) )
elif op[0].isalpha():
if op in variables:
return variables[op]
raise Exception("invalid identifier '%s'" % op)
else:
return float( op )
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