How to calculate the sum of all columns of a 2D numpy array (efficiently)

Question

Let's say I have the following 2D numpy array consisting of four rows and three columns:

>>> a = numpy.arange(12).reshape(4,3) >>> print(a) [[ 0  1  2]  [ 3  4  5]  [ 6  7  8]  [ 9 10 11]] 

What would be an efficient way to generate a 1D array that contains the sum of all columns (like [18, 22, 26])? Can this be done without having the need to loop through all columns?

Answer 1

Check out the documentation for numpy.sum, paying particular attention to the axis parameter. To sum over columns:

>>> import numpy as np >>> a = np.arange(12).reshape(4,3) >>> a.sum(axis=0) array([18, 22, 26]) 

Or, to sum over rows:

>>> a.sum(axis=1) array([ 3, 12, 21, 30]) 

Other aggregate functions, like numpy.mean, numpy.cumsum and numpy.std, e.g., also take the axis parameter.

From the Tentative Numpy Tutorial:

Many unary operations, such as computing the sum of all the elements in the array, are implemented as methods of the ndarray class. By default, these operations apply to the array as though it were a list of numbers, regardless of its shape. However, by specifying the axis parameter you can apply an operation along the specified axis of an array: