Arithmetic: Arithmetic Operators

In salad: Simple Automatic Differentiation

Arithmetic Operators

Description

Arithmetic operators for objects of class 'dual'

Usage

## S4 method for signature 'dual,dual'
e1 + e2

## S4 method for signature 'dual,numericOrArray'
e1 + e2

## S4 method for signature 'numericOrArray,dual'
e1 + e2

## S4 method for signature 'dual,missing'
e1 + e2

## S4 method for signature 'dual,dual'
e1 - e2

## S4 method for signature 'dual,missing'
e1 - e2

## S4 method for signature 'dual,numericOrArray'
e1 - e2

## S4 method for signature 'numericOrArray,dual'
e1 - e2

## S4 method for signature 'dual,dual'
e1 * e2

## S4 method for signature 'dual,numeric'
e1 * e2

## S4 method for signature 'numeric,dual'
e1 * e2

## S4 method for signature 'dual,numeric'
e1 / e2

## S4 method for signature 'numeric,dual'
e1 / e2

## S4 method for signature 'dual,dual'
e1 / e2

## S4 method for signature 'dual,numeric'
e1 ^ e2

## S4 method for signature 'numeric,dual'
e1 ^ e2

## S4 method for signature 'dual,dual'
e1 ^ e2

Arguments

e1	object of class 'dual' or 'numeric'
e2	object of class 'dual' or 'numeric'

Details

The usual operations are performed, with appropriate propagation of the derivatives

Value

An object of class 'dual'.

Examples

x <- dual( c(1,2) )
a <- 2 * x + 3
a
d(a)
b <- x[1] + 3*x[2]
b
d(b)

salad documentation built on April 4, 2025, 1:06 a.m.