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source: branches/f4grobner/ring.lisp@ 422

Last change on this file since 422 was 421, checked in by Marek Rychlik, 9 years ago

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[404]1;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*-
2;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
3;;;
4;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
5;;;
6;;; This program is free software; you can redistribute it and/or modify
7;;; it under the terms of the GNU General Public License as published by
8;;; the Free Software Foundation; either version 2 of the License, or
9;;; (at your option) any later version.
10;;;
11;;; This program is distributed in the hope that it will be useful,
12;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
13;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14;;; GNU General Public License for more details.
15;;;
16;;; You should have received a copy of the GNU General Public License
17;;; along with this program; if not, write to the Free Software
18;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
19;;;
20;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
21
22;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
23;;
24;; Coefficient ring operations
25;;
26;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
27;;
28;; These are ALL operations that are performed on the coefficients by
29;; the package, and thus the coefficient ring can be changed by merely
30;; redefining these operations.
31;;
32;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
33
[405]34(defpackage "RING"
35 (:use :cl)
36 (:export "MAKE-RING"
37 "*RING-OF-INTEGERS*"
[406]38 "*EXPRESSION-RING*"
[405]39 ))
40
[421]41(in-package :ring)
42
[404]43(defstruct (ring)
[407]44 "Defines a RING structure, whose fields
45are common ring operations necessary to implement
46Groebner bases."
[404]47 (parse #'identity :type function)
48 (unit #'identity :type function)
49 (zerop #'identity :type function)
50 (add #'identity :type function)
51 (sub #'identity :type function)
52 (uminus #'identity :type function)
53 (mul #'identity :type function)
54 (div #'identity :type function)
55 (lcm #'identity :type function)
56 (ezgcd #'identity :type function)
57 (gcd #'identity :type function))
58
59(defparameter *ring-of-integers*
[409]60 (make-ring
61 :parse #'identity
62 :unit #'(lambda () 1)
63 :zerop #'zerop
64 :add #'+
65 :sub #'-
66 :uminus #'-
67 :mul #'*
68 :div #'/
69 :lcm #'lcm
70 :ezgcd #'(lambda (x y &aux (c (gcd x y))) (values c (/ x c) (/ y c)))
71 :gcd #'gcd)
[404]72 "The ring of integers.")
73
74(defvar *expression-ring* *ring-of-integers*
75 "The ring of coefficients, over which all polynomials are assumed to
76 be defined.")
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