.. _op_ai_onnx_Less:

Less
====

- **Domain**: ``ai.onnx``
- **Since version**: 13

Returns the tensor resulted from performing the ``Less`` logical operation
elementwise on the input tensors ``A`` and ``B`` (with Numpy-style broadcasting support).

**Inputs**

- **A** (*T*): First input operand for the logical operator.
- **B** (*T*): Second input operand for the logical operator.

**Outputs**

- **C** (*T1*): Result tensor.

**Type Constraints**

- **T**: Constrain input types to all numeric tensors.
  Allowed types: tensor(bfloat16), tensor(double), tensor(float), tensor(float16), tensor(int16), tensor(int32), tensor(int64), tensor(int8), tensor(uint16), tensor(uint32), tensor(uint64), tensor(uint8).
- **T1**: Constrain output to boolean tensor.
  Allowed types: tensor(bool).

Examples
--------

**test_cc_less**

.. code-block:: text

    Inputs:
      x: shape=(2, 2), dtype=float32
        [[1., 2.],
         [3., 4.]]
      y: shape=(2, 2), dtype=float32
        [[2., 2.],
         [2., 2.]]

    Outputs:
      z: shape=(2, 2), dtype=bool
        [[ True, False],
         [False, False]]

**test_cc_less_bcast**

.. code-block:: text

    Inputs:
      x: shape=(2, 2), dtype=float32
        [[1., 2.],
         [3., 4.]]
      y: shape=(), dtype=float32
        2.5

    Outputs:
      z: shape=(2, 2), dtype=bool
        [[ True,  True],
         [False, False]]

**test_less**

.. code-block:: text

    Inputs:
      x: shape=(3, 4, 5), dtype=float32
        [[[-0.24912022,  0.37703994, -0.69417447, -0.7060292 ,  0.20510858],
          [-0.6286968 ,  1.6711484 ,  0.33107895,  0.7037558 , -1.3299477 ],
          [ 1.2570701 ,  1.9146868 , -0.6062891 , -1.0759572 , -0.16256061],
          [ 0.2966216 , -0.32503194,  0.27875352, -0.66562593,  0.01234083]],
        
         [[-0.20715022,  0.14588691,  1.1557806 ,  0.46587473,  0.97787076],
          [-1.0761734 , -0.8160329 , -0.7835996 , -0.23407106,  1.9457138 ],
          [ 1.0166521 , -1.4913279 , -0.6863505 , -0.40249848, -1.3852327 ],
          [-0.77970237,  0.8188312 , -0.11476051, -0.29980806,  0.64011383]],
        
         [[-0.58414567, -1.0774288 , -0.68119806,  0.7641559 , -2.0380206 ],
          [-0.01588069,  1.8616133 , -1.0863703 ,  0.31693026, -0.6249668 ],
          [-1.7837567 , -1.1630548 ,  0.22905143, -0.25897345,  0.5301326 ],
          [ 0.44164625,  0.07234928, -0.8231903 ,  0.33295313,  0.59297967]]]
      y: shape=(3, 4, 5), dtype=float32
        [[[-1.313993  , -0.9773617 , -0.6343613 , -0.979214  , -0.58685726],
          [ 1.6898878 ,  0.08713032,  1.1718034 ,  0.79937506,  0.02316316],
          [ 0.29876754,  0.3574321 ,  1.1932331 , -0.9904888 ,  0.60881287],
          [-0.48373404,  0.70216364, -0.8474465 , -1.2743044 ,  0.29819134]],
        
         [[-0.4808629 ,  0.29299355, -0.61132276,  0.3887899 , -1.2674389 ],
          [-0.60134256, -0.5235882 ,  0.97903776, -0.41479465,  0.15080978],
          [ 1.9587631 , -1.2112936 , -0.30354005,  0.14342186, -0.8019956 ],
          [ 2.3820956 ,  0.72104615, -0.44501275, -1.3686862 , -0.5832208 ]],
        
         [[ 0.7293726 , -1.5513726 ,  0.8104244 ,  1.7539967 , -0.0733771 ],
          [ 1.4704529 , -0.6496508 , -0.20207614, -0.43526402, -1.2906929 ],
          [ 1.0649142 ,  0.89014375,  0.86430603, -1.833441  ,  0.4498562 ],
          [-1.6465589 , -2.0779915 , -0.7255597 , -1.012863  ,  0.95887685]]]

    Outputs:
      less: shape=(3, 4, 5), dtype=bool
        [[[False, False,  True, False, False],
          [ True, False,  True,  True,  True],
          [False, False,  True,  True,  True],
          [False,  True, False, False,  True]],
        
         [[False,  True, False, False, False],
          [ True,  True,  True, False, False],
          [ True,  True,  True,  True,  True],
          [ True, False, False, False, False]],
        
         [[ True, False,  True,  True,  True],
          [ True, False,  True, False, False],
          [ True,  True,  True, False, False],
          [False, False,  True, False,  True]]]

**test_less_bcast**

.. code-block:: text

    Inputs:
      x: shape=(3, 4, 5), dtype=float32
        [[[-0.77932763, -0.11304837, -0.02405588, -0.74120575,  0.8054617 ],
          [-0.7910769 ,  0.27689603,  1.9664423 ,  0.8854545 , -1.534002  ],
          [ 0.92959636,  0.5410489 ,  0.75333405, -0.2559339 ,  0.813136  ],
          [-0.19769451,  0.7592801 , -0.773745  , -0.20088923,  0.9104622 ]],
        
         [[ 1.7654598 , -1.5343306 , -0.2801714 , -0.26017332,  1.7559413 ],
          [ 1.4949077 ,  0.36709183, -0.2965113 ,  0.6934157 ,  0.33218938],
          [-0.80441034,  0.50218654,  0.11497802, -0.20262195, -0.08662814],
          [-0.24888717,  0.40791112, -0.33651662,  0.26782736, -0.6243853 ]],
        
         [[ 0.17729989,  0.786931  ,  0.15775031, -0.5427288 ,  1.1266938 ],
          [-0.6303296 , -1.9371543 , -0.79998   , -0.32684922,  0.5279692 ],
          [ 0.15060616, -0.31763977, -0.4506991 , -0.62456864, -1.5034933 ],
          [-1.2187058 ,  0.899553  ,  1.2907162 , -0.59581614,  1.2079502 ]]]
      y: shape=(5,), dtype=float32
        [ 0.85281533, -2.0860636 ,  0.6411558 , -0.8953869 ,  0.9196889 ]

    Outputs:
      less: shape=(3, 4, 5), dtype=bool
        [[[ True, False,  True, False,  True],
          [ True, False, False, False,  True],
          [False, False, False, False,  True],
          [ True, False,  True, False,  True]],
        
         [[False, False,  True, False, False],
          [False, False,  True, False,  True],
          [ True, False,  True, False,  True],
          [ True, False,  True, False,  True]],
        
         [[ True, False,  True, False, False],
          [ True, False,  True, False,  True],
          [ True, False,  True, False,  True],
          [ True, False, False, False, False]]]

Differences with previous version (9)
-------------------------------------

**SchemaDiff**: ``Less`` (domain ``'ai.onnx'``)

* old version: 9
* new version: 13
* breaking: no

**Type constraints:**

* changed 'T': added types: ['tensor(bfloat16)']

Version History
---------------

- :doc:`Version 9 <Less-9>`
- :doc:`Version 7 <Less-7>`
- :doc:`Version 1 <Less-1>`