numpy.remainder(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj]) = <ufunc 'remainder'>

Return element-wise remainder of division.

Computes the remainder complementary to the floor_divide function. It is equivalent to the Python modulus operator``x1 % x2`` and has the same sign as the divisor x2. The MATLAB function equivalent to np.remainder is mod.


This should not be confused with:

  • Python 3.7’s math.remainder and C’s remainder, which computes the IEEE remainder, which are the complement to round(x1 / x2).
  • The MATLAB rem function and or the C % operator which is the complement to int(x1 / x2).

x1 : array_like

Dividend array.

x2 : array_like

Divisor 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

Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone.


For other keyword-only arguments, see the ufunc docs.


y : ndarray

The element-wise remainder of the quotient floor_divide(x1, x2). Returns a scalar if both x1 and x2 are scalars.

See also

Equivalent of Python // operator.
Simultaneous floor division and remainder.
Equivalent of the MATLAB rem function.

divide, floor


Returns 0 when x2 is 0 and both x1 and x2 are (arrays of) integers.


>>> np.remainder([4, 7], [2, 3])
array([0, 1])
>>> np.remainder(np.arange(7), 5)
array([0, 1, 2, 3, 4, 0, 1])

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