rand_vector_at_angle: Get a random unit vector at a given angle with another...

In clugenr: Multidimensional Cluster Generation Using Support Lines

Get a random unit vector at a given angle with another vector.

Description

\loadmathjax

Get a random unit vector which is at angle radians of vector u. Note that u is expected to be a unit vector itself.

Usage

rand_vector_at_angle(u, angle)

Arguments

u	Unit vector with \mjseqnn components.
angle	Angle in radians.

Value

Random unit vector with \mjseqnn components which is at angle radians with vector u.

Note

This function is stochastic. For reproducibility set a PRNG seed with set.seed.

Examples

u <- c(1.0, 0, 0.5, -0.5)            # Define a 4D vector
u <- u / norm(u, "2")                # Normalize the vector
v <- rand_vector_at_angle(u, pi / 4) # Get a vector at 45 degrees
arad <- acos((u %*% v) / norm(u,"2") * norm(v, "2")) # Get angle in radians
arad * 180 / pi # Convert to degrees, should be close to 45 degrees

clugenr documentation built on Aug. 8, 2025, 6:05 p.m.