modf(x, [out1, out2, ]/, [out=(None, None), ]*, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

Return the fractional and integral parts of an array, element-wise.

The fractional and integral parts are negative if the given number is negative.

  • x (array_like) – Input array.

  • out (ndarray, None, or tuple of ndarray and None, optional) – A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

  • where (array_like, optional) – This condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value. Note that if an uninitialized out array is created via the default out=None, locations within it where the condition is False will remain uninitialized.


  • y1 (ndarray) – Fractional part of x. This is a scalar if x is a scalar.

  • y2 (ndarray) – Integral part of x. This is a scalar if x is a scalar.


For integer input the return values are floats.

See also


divmod(x, 1) is equivalent to modf with the return values switched, except it always has a positive remainder.


>>> np.modf([0, 3.5])
(array([ 0. ,  0.5]), array([ 0.,  3.]))
>>> np.modf(-0.5)
(-0.5, -0)