sponge.function.calc_angle_by_vectors

sponge.function.calc_angle_by_vectors(vector1: Tensor, vector2: Tensor, keepdims: bool = False)

Compute angle between two vectors. For vector $\overrightarrow{v_1}=(x_1,x_2,x_3,...,x_n)$ and $\overrightarrow{v_2}=(y_1,y_2,y_3,...,y_n)$ , the formula is

$$\theta =\arccos \frac{|x_1{y}_1+x_2{y}_2+\cdots +x_n{y}_n|}{\sqrt{x_1^2+x_2^2+\cdots +x_n^2}\sqrt{y_1^2+y_2^2+\cdots +y_n^2}}$$

Parameters

• vector1 (Tensor) – Tensor of shape $(...,D)$. Data type is float. D means spatial dimension of the simulation system. Usually is 3. Vector of $\overrightarrow{v_1}$.

• vector2 (Tensor) – Tensor of shape $(...,D)$. Data type is float. Vector of $\overrightarrow{v_2}$.

• keepdims (bool) – If this is set to True, the last axis will be left in the result as dimensions with size one. Default: False.

Returns

angle (Tensor), a tensor of shape $(...)$ or $(...,1)$. Data type is float.

Supported Platforms:

Ascend GPU