boostmath (version 1.0.0)

vector_functionals: Vector Functionals

Description

Functions to compute various vector norms and distances.

Usage

l0_pseudo_norm(x)
hamming_distance(x, y)
l1_norm(x)
l1_distance(x, y)
l2_norm(x)
l2_distance(x, y)
sup_norm(x)
sup_distance(x, y)
lp_norm(x, p)
lp_distance(x, y, p)
total_variation(x)

Value

A single numeric value with the computed norm or distance.

Arguments

x

A numeric vector.

y

A numeric vector of the same length as x (for distance functions).

p

A positive integer indicating the order of the norm or distance (for Lp functions).

See Also

Boost Documentation for more details on the mathematical background.

Examples

# L0 Pseudo Norm
l0_pseudo_norm(c(1, 0, 2, 0, 3))
# Hamming Distance
hamming_distance(c(1, 0, 1), c(0, 1, 1))
# L1 Norm
l1_norm(c(1, -2, 3))
# L1 Distance
l1_distance(c(1, -2, 3), c(4, -5, 6))
# L2 Norm
l2_norm(c(3, 4))
# L2 Distance
l2_distance(c(3, 4), c(0, 0))
# Supremum Norm
sup_norm(c(1, -2, 3))
# Supremum Distance
sup_distance(c(1, -2, 3), c(4, -5, 6))
# Lp Norm
lp_norm(c(1, -2, 3), 3)
# Lp Distance
lp_distance(c(1, -2, 3), c(4, -5, 6), 3)
# Total Variation
total_variation(c(1, 2, 1, 3))