Dot Product between Two Tensors Across the First Axis

This is an example of how to use the omtools.dot() function to compute the dot product between two vectors.

from openmdao.api import Problem
from omtools.api import Group
import omtools.api as ot
import numpy as np


class ExampleTensorTensorFirst(Group):
    def setup(self):

        m = 3
        n = 4
        p = 5

        # Shape of the tensors
        ten_shape = (m, n, p)

        # Number of elements in the tensors
        num_ten_elements = np.prod(ten_shape)

        # Values for the two tensors
        ten1 = np.arange(num_ten_elements).reshape(ten_shape)
        ten2 = np.arange(num_ten_elements,
                         2 * num_ten_elements).reshape(ten_shape)

        # Adding the tensors to omtools
        ten1 = self.declare_input('ten1', val=ten1)
        ten2 = self.declare_input('ten2', val=ten2)

        # Tensor-Tensor Dot Product specifying the first axis
        self.register_output('TenTenDotFirst', ot.dot(ten1, ten2, axis=0))


prob = Problem()
prob.model = ExampleTensorTensorFirst()
prob.setup(force_alloc_complex=True)
prob.run_model()

print('ten1', prob['ten1'].shape)
print(prob['ten1'])
print('ten2', prob['ten2'].shape)
print(prob['ten2'])
print('TenTenDotFirst', prob['TenTenDotFirst'].shape)
print(prob['TenTenDotFirst'])

3
3
ten1 (3, 4, 5)
[[[ 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.]]]
ten2 (3, 4, 5)
[[[ 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.]]]
TenTenDotFirst (4, 5)
[[ 5600.  5903.  6212.  6527.  6848.]
 [ 7175.  7508.  7847.  8192.  8543.]
 [ 8900.  9263.  9632. 10007. 10388.]
 [10775. 11168. 11567. 11972. 12383.]]