Compute Euclidean norm

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
#> [1] 1.414214 2.828427 4.242641 5.656854
  # Less efficient ways to calculate same Euclidean norms
  sqrt(p * p) # `*` dot product
#> [1] 1.414214 2.828427 4.242641 5.656854
  distance2d(p, as_coord2d(0, 0, 0))
#> [1] 1.414214 2.828427 4.242641 5.656854

  # In {base} R `abs()` calculates Euclidean norm of complex numbers
  all.equal(abs(p), abs(z))
#> [1] TRUE
  all.equal(Mod(p), Mod(z))
#> [1] TRUE

  p3 <- as_coord3d(x = 1:4, y = 1:4, z = 1:4)
  abs(p3)
#> [1] 1.732051 3.464102 5.196152 6.928203