POLYnomial MANI.PuLation

A symbolic polynomial calculator in Prolog

How to run

In a terminal, run

$ swipl

Inside the REPl, load the file

?- ["polymani.pl"].

Note: Don't forget the dot at the end of the line.

The user available funtions are:

1. poly2list/2
2. simpoly_list/2
3. simpoly/2
4. scalepoly/3
5. addpoly/3

poly2list/2 - transforms a list representing a polynomial (second argument) into a polynomial represented as an expression (first argument) and vice-versa.

simpolylist/2 - simplifies a polynomial represented as a list into another polynomial as a list.

simpoly/2 - simplifies a polynomial represented as an expression as another polynomial as an expression.

scalepoly/3 - multiplies a polynomial represented as an expression by a scalar resulting in a second polynomial. The two first arguments are assumed to be ground. The polynomial resulting from the sum is in simplified form.

addpoly/3 - adds two polynomials as expressions resulting in a third one. The two first arguments are assumed to be ground. The polynomial resulting from the sum is in simplified form.

Note: foo/N means the funciton foo has N parameters. These names are the ones requested in the assignment.

Tests

:- ["polymani.pl"].
%@ true.

?- poly2list(2*x^2+3*x+5*x^17-7*x^21+3*x^3+25*x^5-4.3, S).
%@ S = [-4.3, 25*x^5, 3*x^3, -7*x^21, 5*x^17, 3*x, 2*x^2].

?- simpoly_list([x*x*x, x^3, 5*x^3, 4.2*z, 2, 42.6, 42*y, 5*z, z^7, z*y^1337, 0], L).
%@ L = [44.6, 7*x^3, 9.2*z, 42*y, y^1337*z, z^7].

?- simpoly(1+x+1+x+1+x+1+x^3+5*x^3+42*x^1337+0, S).
%@ S = 42*x^1337+6*x^3+3*x+4.

?- scalepoly(2*x^2+3*x+5*x^17-7*x^21+3*x^3-23*x^4+25*x^5-4.3, 42, S).
%@ S = 1050*x^5+210*x^17+126*x^3+126*x+84*x^2-294*x^21-966*x^4-180.6.

?- addpoly(2*x^2+3*x+5*x^17-x^4+25*x^5-4.3, 42*x^1337+0-5, S).
%@ S = 42*x^1337+25*x^5+5*x^17+3*x+2*x^2-1*x^4-9.3.

License