python

from bisect import bisect
import numpy as np
import numba

# @numba.njit  # NG
def main(xs, x):
    print(bisect(xs, x))

main(np.arange(10), 3)  # => 4

OK python

...
from bisect import bisect
import numpy as np
import numba


@numba.njit
def bisect(a, x, lo=0, hi=None):
    ...


@numba.njit
def main(xs, x):
    print(bisect(xs, x))
... 

adding a signature would involve implementing it for Numba http://numba.pydata.org/numba-doc/latest/extending/index.html And http://numba.pydata.org/numba-doc/latest/extending/overloading-guide.html

NG python

from numba.pycc import CC
cc = CC('my_module')

@cc.export("bisect", "i8(i8[:], i8)")
def bisect(a, x):
   ...
@cc.export("main", "i8(i8[:], i8)")
def main(xs, x):
   ...

cc.compile()

numba bisect