R: Expand Expressions by Distributing a Multiplicative Factor

Expand {lazy.symbolic}

R Documentation

Expand Expressions by Distributing a Multiplicative Factor

Description

Expand Expressions by Distributing a Multiplicative Factor

Usage

Expand(expr, all = 0, method = 1:2, simplify = 1, verify = 1, debug = 0)

Arguments

`expr`	A vector or list of symbolic expressions
`all`	= 1 to apply Expand repeatedly
`method`	= 1 to expand a(...) = 2 to expand (...)a
`simplify`	= 0 to skip the simplification of the result
`verify`	= 0 not to check the result by `is_valid` = 1 to check and continue if not valid = 2 to check and stop if not valid
`debug`	= 1 to print intermediate result

Details

This function expands a single occurence of
a*(b+c) and (a+b)*c
to
a*b+a*c and a*c+b*c, resp.,
where a is a single multiplicative factor and b and c are additive terms.

Matrix multiplications such as %*% and %@% can be used.

Repeated use may expand it further.

Value

Expanded expression

Examples

Expand(c("a*(b+c)","-(b+c)*a"))
Expand(c("a/(b*c)","-(b*c)/a"))

Expand("(a+b)*(F(x)-G(y))") |> print() |> Expand()

Expand("-a*(b-c)*(d+e)") |> print() |> Expand()

Expand( "((+a*(b-c*d)*e+f)*g)*h - (((+a*b-c*d)*e+f)*g)*h" ) |>
print() |> Expand()

Expand("-t(A)%*%(B-C)%*%D")

Expand("-inv(A)%*%(A-B)")
Expand("-inv(A)%*%(A-B)", simplify=0)

Expand("-(A-B)%*%(C-D)+E")
Expand("-(A-B)%*%(C-D)+E", all=1)

[Package lazy.symbolic version 1.0.0.20250425 ]