| 1 | ;;; -*- Mode: Lisp -*-
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| 2 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 3 | ;;;
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| 4 | ;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
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| 5 | ;;;
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| 6 | ;;; This program is free software; you can redistribute it and/or modify
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| 7 | ;;; it under the terms of the GNU General Public License as published by
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| 8 | ;;; the Free Software Foundation; either version 2 of the License, or
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| 9 | ;;; (at your option) any later version.
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| 10 | ;;;
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| 11 | ;;; This program is distributed in the hope that it will be useful,
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| 12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 14 | ;;; GNU General Public License for more details.
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| 15 | ;;;
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| 16 | ;;; You should have received a copy of the GNU General Public License
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| 17 | ;;; along with this program; if not, write to the Free Software
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| 18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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| 19 | ;;;
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| 20 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 21 |
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| 22 | (defpackage "RING"
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| 23 | (:use :cl)
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| 24 | (:export "RING"
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| 25 | "ADD-TO"
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| 26 | "SUBTRACT-FROM"
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| 27 | "MULTIPLY-BY"
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| 28 | "DIVIDE-BY"
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| 29 | "UNIVERSAL-EZGCD"
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| 30 | "UNIVERSAL-EQUALP"
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| 31 | "UNIVERSAL-ZEROP"
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| 32 | "->SEXP")
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| 33 | (:documentation "Defines an abstract ring class and ring operations."))
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| 34 |
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| 35 | (in-package "RING")
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| 36 |
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| 37 | (defclass ring () () (:documentation "An abstract ring."))
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| 38 |
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| 39 | (defgeneric multiply-by (self other)
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| 40 | (:documentation "Multiply SELF by OTHER."))
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| 41 |
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| 42 | (defgeneric add-to (self other)
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| 43 | (:documentation "Add OTHER to SELF."))
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| 44 |
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| 45 | (defgeneric subtract-from (self other)
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| 46 | (:documentation "Subtract OTHER from SELF."))
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| 47 |
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| 48 | (defgeneric universal-ezgcd (self other)
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| 49 | (:documentation "Set SELF value to GCD(SELF, OTHER)"))
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| 50 |
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| 51 | (defgeneric universal-equalp (self other)
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| 52 | (:documentation "Return T if objects SELF and OTHER are equal, NIL otherwise.")
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| 53 | (:method ((object1 cons) (object2 cons)) (every #'universal-equalp object1 object2)))
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| 54 |
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| 55 | (defgeneric universal-zerop (self)
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| 56 | (:documentation "Return T if SELF is a zero in the ring it belongs to."))
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| 57 |
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| 58 | (defgeneric ->sexp (self)
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| 59 | (:documentation "Convert SELF to an S-expression."))
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