source: branches/f4grobner/term.lisp@ 425

;;; -*-  Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*- 
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;;;  Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>          
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;;;  This program is free software; you can redistribute it and/or modify        
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(defpackage "TERM"
  (:use :cl :monomial :ring)
  (:export 
           "MAKE-TERM"
           "MAKE-TERM-VARIABLE"
           "TERM-MUL"
           "TERM-SUGAR"))


(in-package :term)

(defun make-term-variable (ring nvars pos
                                &optional
                                (power 1)
                                (coeff (funcall (ring-unit ring)))
                                &aux
                                (monom (make-monom nvars :initial-element 0)))
  "Construct a term in the polynomial ring RING[X[0],X[1],X[2],...X[NVARS-1]]
over the ring RING which represents a single variable. It assumes
number of variables NVARS and the variable is at position
POS. Optionally, the variable may appear raised to power POWER.
Optionally, the term may appear with an arbitrary coefficient, which
defaults to the unit of the RING."
  (declare (fixnum nvars pos power))
  (incf (monom-elt monom pos) power)
  (make-term monom coeff))

(defstruct (term
            (:constructor make-term (monom coeff))
            ;;(:constructor make-term-variable)
            ;;(:type list)
            )
  (monom (make-monom 0) :type monom)
  (coeff nil))

(defun term-mul (ring term1 term2)
  "Returns the product of the terms TERM1 and TERM2,
or NIL when the product is 0. This definition takes care of divisors of 0
in the coefficient ring."
  (let ((c (funcall (ring-mul ring) (term-coeff term1) (term-coeff term2))))
    (unless (funcall (ring-zerop ring) c)
      (make-term (monom-mul (term-monom term1) (term-monom term2)) c))))

(defun term-sugar (term)
  (monom-sugar (term-monom term)))