Reorder a multivariate polynomial.

This function is used to set the intrinsic order of a multivariate polynomial. It is used for both the in-term variables and the terms.

# S3 method for mpoly
reorder(x, varorder = vars(x), order, ...)

Arguments

x	an object of class mpoly
varorder	the order of the variables
order	a total order used to order the terms, "lex", "glex", or "grlex"
...	additional arguments

Value

An object of class mpoly.

Examples

list <- list(
  c(x = 1, y = 2, z = 1, coef = 1),
  c(x = 2, y = 0, z = 2, coef = 1),
  c(x = 0, y = 0, z = 2, coef = 1),
  c(x = 3, y = 0, z = 0, coef = 1)
)
(p <- mpoly(list)) # -> x y^2 z  +  x^2 z^2  +  z^2  +  x^3
#> x y^2 z  +  x^2 z^2  +  z^2  +  x^3
reorder(p) # -> x y^2 z  +  x^2 z^2  +  z^2  +  x^3
#> x^3  +  x^2 z^2  +  x y^2 z  +  z^2
reorder(p, varorder = c("x","y","z"), order = "lex")
#> x^3  +  x^2 z^2  +  x y^2 z  +  z^2
    # -> x^3  +  x^2 z^2  +  x y^2 z  +  z^2
reorder(p, varorder = c("x","y","z"), order = "glex")
#> x^2 z^2  +  x y^2 z  +  x^3  +  z^2
    # -> x^2 z^2  +  x y^2 z  +  x^3  +  z^2
reorder(p, varorder = c("x","y","z"), order = "grlex")
#> x y^2 z  +  x^2 z^2  +  x^3  +  z^2
    # -> x y^2 z  +  x^2 z^2  +  x^3  +  z^2

reorder(mp("x + 1"), varorder = c("y","x","z"), order = "lex")
#> x  +  1
reorder(mp("x + y"), varorder = c("y","x","z"), order = "lex")
#> y  +  x
reorder(mp("x y + y + 2 x y z^2"), varorder = c("y","x","z"))
#> 2 y x z^2  +  y x  +  y
reorder(mp("x^2 + y x + y"), order = "lex")
#> Using variable ordering - x, y
#> x^2  +  x y  +  y