abs.Coord: Compute Euclidean norm

In affiner: A Finer Way to Render 3D Illustrated Objects in 'grid' Using Affine Transformations

Compute Euclidean norm

Description

abs() computes the Euclidean norm for Coord2D class objects and Coord3D class objects.

Usage

## S3 method for class 'Coord1D'
abs(x)

## S3 method for class 'Coord2D'
abs(x)

## S3 method for class 'Coord3D'
abs(x)

Arguments

x	A Coord2D class object or Coord2D class object.

Value

A numeric vector

Examples

  z <- complex(real = 1:4, imaginary = 1:4)
  p <- as_coord2d(z)
  abs(p) # Euclidean norm
  # Less efficient ways to calculate same Euclidean norms
  sqrt(p * p) # `*` dot product
  distance2d(p, as_coord2d(0, 0, 0))

  # In {base} R `abs()` calculates Euclidean norm of complex numbers
  all.equal(abs(p), abs(z))
  all.equal(Mod(p), Mod(z))

  p3 <- as_coord3d(x = 1:4, y = 1:4, z = 1:4)
  abs(p3)

affiner documentation built on April 4, 2025, 4:42 a.m.