porems.geometry

Here basic geometric functions are noted.

Functions

angle(vec_a, vec_b[, is_deg])	Calculate the angle between two vectors \(\boldsymbol{a},\boldsymbol{b}\in\mathbb{R}^n\)
angle_azi(pos[, is_deg])	Calculate the azimuthal angle of a position vector \(\boldsymbol{a}\in\mathbb{R}^3\), which is the angle of the position vector towards the x-y-plane
angle_polar(pos[, is_deg])	Calculate the polar angle of a position vector \(\boldsymbol{a}\in\mathbb{R}^3\), which is the angle of the x-axis towards the reflected position vector on the x-y-plane
cross_product(vec_a, vec_b)	Calculate the cross product of two three-dimensional vectors \(\boldsymbol{a},\boldsymbol{b}\in\mathbb{R}^3\)
dot_product(vec_a, vec_b)	Calculate the dot product of two vectors \(\boldsymbol{a},\boldsymbol{b}\in\mathbb{R}^n\)
length(vec)	Calculate the length of a vector \(\boldsymbol{a}\in\mathbb{R}^n\)
main_axis(inp[, dim])	Return the three-dimensional unit-vector of the main axes.
rotate(data, axis, angle, is_deg[, dim])	Rotate a vector \(\boldsymbol{a}\in\mathbb{R}^3\) along an axis \(\boldsymbol{b}\in\mathbb{R}^3\) with angle \(\alpha\in\mathbb{R}\).
unit(vec)	Transform a vector \(\boldsymbol{a}\in\mathbb{R}^n\) into a unit vector
vector(pos_a, pos_b)	Calculate the vector between to two positions \(\boldsymbol{a},\boldsymbol{b}\in\mathbb{R}^n\)