gradoptics.optics.vector

gradoptics.optics.vector.batch_vector(x, y, z)

Returns a batch of vector

Parameters

• x – Component of the vectors along the x axis (torch.tensor)

• y – Component of the vectors along the y axis (torch.tensor)

• z – Component of the vectors along the z axis (torch.tensor)

Returns

A batch of 3d vectors (torch.tensor)

gradoptics.optics.vector.normalize_batch_vector(input_vector, eps=1e-15)

Normalize the input_vector using the Euclidian norm

Parameters

• input_vector – A batch of 3d vectors (torch.tensor)

• eps – Parameter used for numerical stability. Default is '1e-15'

gradoptics.optics.vector.dot_product(batch_vector1, batch_vector2)

Computes the dot product between the given batch of 3d vectors

Parameters

• batch_vector1 – A batch of 3d vectors (torch.tensor)

• batch_vector2 – A batch of 3d vectors (torch.tensor)

Returns

The dot product between batch_vector1 and batch_vector2 (torch.tensor)

gradoptics.optics.vector.cos_theta(batch_vector1, batch_vector2, eps=1e-15)

Computes the cosine between the given batch of 3d vectors

Parameters

• batch_vector1 – A batch of 3d vectors (torch.tensor)

• batch_vector2 – A batch of 3d vectors (torch.tensor)

• eps – Parameter used for numerical stability. Default is '1e-15'

Returns

The cosine between batch_vector1 and batch_vector2 (torch.tensor)

gradoptics.optics.vector.cross_product(vector1, vector2)

Computes the cross product between the given 3d vectors

Parameters

• vector1 – A 3d vector (torch.tensor)

• vector2 – A 3d vector (torch.tensor)

Returns

The cross product between vector1 and vector2 (torch.tensor)

gradoptics.optics.vector.vector3d(x, y, z)

Returns a 3d vector

Parameters

• x – Component of the vector along the x axis (torch.tensor)

• y – Component of the vector along the y axis (torch.tensor)

• z – Component of the vector along the z axis (torch.tensor)

Returns

A 3d vector (torch.tensor)

gradoptics.optics.vector.normalize_vector(input_vector, eps=1e-15)

Normalize the input_vector using the Euclidian norm

Parameters

• input_vector – A 3d vector (torch.tensor)

• eps – Parameter used for numerical stability. Default is '1e-15'

gradoptics.optics.vector.get_perpendicular_vector(input_vector, eps=1e-15)

Returns a vector perpendicular to input_vector

Parameters

• input_vector – A 3d vector (torch.tensor)

• eps – Parameter used for numerical stability. Default is '1e-15'