def angle_last_dim(a, b):
'''
Calculate the angle between two nd-arrays (array of vectors) along the last dimension
without anything further: 1->0°, 0.9->23°, 0.7->45°, 0->90°
np.arccos -> returns degree in pi (90°: 0.5*pi)
return: one dimension less then input
'''
return torch.abs(einsum('abcd,abcd->abc', a, b) / (torch.norm(a, 2., -1) * torch.norm(b, 2, -1) + 1e-7))
def angle_last_dim(a, b):
'''
Calculate the angle between two nd-arrays (array of vectors) along the last dimension
without anything further: 1->0°, 0.9->23°, 0.7->45°, 0->90°
np.arccos -> returns degree in pi (90°: 0.5*pi)
return: one dimension less then input
'''
from tractseg.libs.PytorchEinsum import einsum
return torch.abs(einsum('abcd,abcd->abc', a, b) / (torch.norm(a, 2., -1) * torch.norm(b, 2, -1) + 1e-7))
def angle_second_dim(a, b):
'''
Not working !
RuntimeError: invalid argument 2: input is not contiguous (and
Calculate the angle between two nd-arrays (array of vectors) along the second dimension
without anything further: 1->0°, 0.9->23°, 0.7->45°, 0->90°
np.arccos -> returns degree in pi (90°: 0.5*pi)
return: one dimension less then input
'''
from tractseg.libs.PytorchEinsum import einsum
return torch.abs(einsum('abcd,abcd->acd', a, b) / (torch.norm(a, 2., 1) * torch.norm(b, 2, 1) + 1e-7))