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# cython: profile=True
import cython
@cython.cfunc
@cython.inline
@cython.exceptval(-1.0)
def recip_square(i: cython.longlong) -> cython.double:
return 1. / (i * i)
def approx_pi(n: cython.int = 10000000):
val: cython.double = 0.
k: cython.int
for k in range(1, n + 1):
val += recip_square(k)
return (6 * val) ** .5
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