Hypotenuse Function

Square root of sum of squares

hypot(x, y)

Arguments

x, y

Vectors of real or complex numbers of the same size

Details

Element-by-element computation of the square root of the sum of squares of vectors resp. matrices x and y.

Value

Returns a vector or matrix of the same size.

Note

Returns c() if x or y is empty and the other one has length 1. If one input is scalar, the other a vector, the scalar will be extended to a vector of appropriate length. In all other cases, x and y have to be of the same size.

Examples

hypot(3,4)
#> [1] 5
hypot(1, c(3, 4, 5))
#> [1] 3.162278 4.123106 5.099020
hypot(c(0, 0), c(3, 4))
#> [1] 3 4