text: from __future__ import absolute_import
  from __future__ import division
  from __future__ import print_function
  from __future__ import unicode_literals
  
  import numpy as np  # type: ignore
  
  import onnx
  from ..base import Base
  from . import expect
  
  
  class Softmax(Base):
  
      @staticmethod
      def export():
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
          )
          x = np.array([[-1, 0, 1]]).astype(np.float32)
          # expected output [[0.09003058, 0.24472848, 0.66524094]]
          y = np.exp(x) / np.sum(np.exp(x), axis=1)
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_example')
  
      @staticmethod
      def export_softmax_axis():
          def softmax_2d(x):
              max_x = np.max(x, axis=1).reshape((-1, 1))
              exp_x = np.exp(x - max_x)
              return exp_x / np.sum(exp_x, axis=1).reshape((-1, 1))
  
          x = np.array([[0, 1, 2, 3], [10000, 10001, 10002, 10003]]).astype(np.float32)
          # expected output [[0.0320586, 0.08714432, 0.23688284, 0.64391428],
          #                 [0.0320586, 0.08714432, 0.23688284, 0.64391428]]
          y = softmax_2d(x)
  
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
          )
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_large_number')
  
          x = np.abs(np.random.randn(3, 4, 5).astype(np.float32))
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
              axis=0,
          )
          y = softmax_2d(x.reshape(1, 60)).reshape(3, 4, 5)
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_axis_0')
  
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
              axis=1,
          )
          y = softmax_2d(x.reshape(3, 20)).reshape(3, 4, 5)
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_axis_1')
  
          # default axis is 1
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
          )
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_default_axis')
  
          node = onnx.helper.make_node(
              'Softmax',
              inputs=['x'],
              outputs=['y'],
              axis=2,
          )
          y = softmax_2d(x.reshape(12, 5)).reshape(3, 4, 5)
          expect(node, inputs=[x], outputs=[y],
                 name='test_softmax_axis_2')
  