.polyExp: Takes a call and returns its polynomial coefficients

Description

Takes a call and returns its polynomial coefficients

Takes a call and returns its polynomial coefficients as numerics.

Method for putting a polynomial together given the coefficients and power from .polyExp()

Usage

.polyExp(tree, .x., params, iterate = 1)
.polyExp.num(tree, .x.)
.makePoly(form, poly)

Arguments

tree

A call that will be parsed and simplified recursively

.x.

the variable name with respect to which the polynomial should be most simplified

params

All names of free variables. If there are no free variables, the value should be ""

iterate

The number of times the call is nested. Default and proper value when called from the outside is 1

form

original formula - provides information on which variable the polynomial was reduced with respect to.

poly

output of .polyExp()

Value

A list containing a list, coeffs, of coefficients ordered high to low (i.e. the list (2,3,4) would correspond to the polynomial 2*x^2+3*x+4 ) and value, pow, indicating the order of the polynomial. If the expression is not a polynomial, this method returns an empty list or an error.
A list containing a list, coeffs, of coefficients ordered high to low (i.e. the list (2,3,4) would correspond to the polynomial 2*x^2+3*x+4 ) and value, pow, indicating the order of the polynomial. If the expression is not a polynomial, this method returns an empty list or an error.
A formula whose left hand side is a polynomial that fits the description given with the input poly.

Details

Will work on any call as long as it can be reduced to a polynomial with respect the the variable and each of the parameters. Operates recursively, reducing each of the coefficients with respect to the extra parameters in turn. Calls .polyExp.num when all remaining coefficients are numeric to reduce the expression more fully.

works with the same structure as .polyExp() but will return only if all coefficients reduce to numeric values.