Axis Free Pnorm Computation

This is an example of the Pnorm function being used to compute the Pnorm of a tensor. Since an axis is specified, the Pnorm is computed using all of the values in the tensor along that axis.

from csdl_om import Simulatorfrom csdl import Modelimport csdlimport numpy as np

class ExampleAxisFree(Model):
    def define(self):
        # Shape of the tensor        shape = (2, 3, 4, 5)
        # Number of elements in the tensor        num_of_elements = np.prod(shape)
        # Creating a numpy tensor with the desired shape and size        tensor = np.arange(num_of_elements).reshape(shape)
        # Declaring in1 as input tensor        in1 = self.declare_variable('in1', val=tensor)
        # Computing the 6-norm on in1 without specifying an axis        self.register_output('axis_free_pnorm',                             csdl.pnorm(in1, pnorm_type=6))

sim = Simulator(ExampleAxisFree())sim.run()
print('in1', sim['in1'].shape)print(sim['in1'])print('axis_free_pnorm', sim['axis_free_pnorm'].shape)print(sim['axis_free_pnorm'])

[[[[  0.   1.   2.   3.   4.]   [  5.   6.   7.   8.   9.]   [ 10.  11.  12.  13.  14.]   [ 15.  16.  17.  18.  19.]]
  [[ 20.  21.  22.  23.  24.]   [ 25.  26.  27.  28.  29.]   [ 30.  31.  32.  33.  34.]   [ 35.  36.  37.  38.  39.]]
  [[ 40.  41.  42.  43.  44.]   [ 45.  46.  47.  48.  49.]   [ 50.  51.  52.  53.  54.]   [ 55.  56.  57.  58.  59.]]]

 [[[ 60.  61.  62.  63.  64.]   [ 65.  66.  67.  68.  69.]   [ 70.  71.  72.  73.  74.]   [ 75.  76.  77.  78.  79.]]
  [[ 80.  81.  82.  83.  84.]   [ 85.  86.  87.  88.  89.]   [ 90.  91.  92.  93.  94.]   [ 95.  96.  97.  98.  99.]]
  [[100. 101. 102. 103. 104.]   [105. 106. 107. 108. 109.]   [110. 111. 112. 113. 114.]   [115. 116. 117. 118. 119.]]]]axis_free_pnorm (1,)[191.75087118]