OK thanks for your help. I think I got it. The effect of RealField
is like creating a new number type. I need to make sure all my real
are of the right type. It appears integers are fine as is.
Here is working code...
def test(big):
my_pi = RealField(big)(pi)
ten = RealField(big)(10.0)
constant = 100 * sqrt(my_pi/log(ten))
ten_thou = RealField(big)(10000.0)
f(k) = ten^(-k^2/ten_thou)
the_sum = RealField(big)(sum(f(k) for k in range(-big, big +
1)))
difference = the_sum - constant
return difference
I can see difference getting smaller for test(1000), test(2000),
test(3000), etc.
cs
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