jax.numpy.tri¶

jax.numpy.tri(N, M=None, k=0, dtype=None)[source]

An array with ones at and below the given diagonal and zeros elsewhere.

LAX-backend implementation of tri(). Original docstring below.

Parameters
• N (int) – Number of rows in the array.

• M (int, optional) – Number of columns in the array. By default, M is taken equal to N.

• k (int, optional) – The sub-diagonal at and below which the array is filled. k = 0 is the main diagonal, while k < 0 is below it, and k > 0 is above. The default is 0.

• dtype (dtype, optional) – Data type of the returned array. The default is float.

Returns

tri – Array with its lower triangle filled with ones and zero elsewhere; in other words T[i,j] == 1 for j <= i + k, 0 otherwise.

Return type

ndarray of shape (N, M)

Examples

>>> np.tri(3, 5, 2, dtype=int)
array([[1, 1, 1, 0, 0],
[1, 1, 1, 1, 0],
[1, 1, 1, 1, 1]])

>>> np.tri(3, 5, -1)
array([[0.,  0.,  0.,  0.,  0.],
[1.,  0.,  0.,  0.,  0.],
[1.,  1.,  0.,  0.,  0.]])