| 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 "TERM"
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| 23 | (:use :cl :monom :ring)
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| 24 | (:export "MAKE-TERM-VARIABLE"))
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| 25 |
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| 26 | (in-package :term)
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| 27 |
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| 28 | (proclaim '(optimize (speed 3) (space 0) (safety 0) (debug 0)))
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| 29 |
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| 30 | (defclass term (monom)
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| 31 | ((coeff :initarg :coeff :accessor r-coeff))
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| 32 | (:default-initargs :dimension nil :exponents nil :coeff nil))
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| 33 |
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| 34 | (defmethod print-object ((self term) stream)
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| 35 | (format stream "#<TERM DIMENSION=~A EXPONENTS=~A COEFF=~A>"
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| 36 | (r-dimension self)
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| 37 | (r-exponents self)
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| 38 | (r-coeff self)))
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| 39 |
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| 40 | ;; Use to debug calls to shared-initialize
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| 41 | (defmethod shared-initialize ((self term) slot-names
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| 42 | &rest
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| 43 | initargs
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| 44 | &key
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| 45 | &allow-other-keys)
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| 46 | (format t "TERM::SHARED-INITIALIZE called with:~&SLOT-NAMES: ~W~&INITARGS: ~W.~%" slot-names initargs)
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| 47 | (call-next-method)
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| 48 | )
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| 49 |
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| 50 | (defmethod shared-initialize ((self term) slot-names
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| 51 | &rest
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| 52 | initargs
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| 53 | &key
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| 54 | coeff
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| 55 | &allow-other-keys)
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| 56 | (format t "TERM::SHARED-INITIALIZE called with:~&SLOT-NAMES: ~W~&INITARGS: ~W.~%" slot-names initargs)
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| 57 | (if (eq slot-names t) (setf slot-names '(coeff)))
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| 58 | (dolist (slot-name slot-names)
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| 59 | (case slot-name
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| 60 | (coeff
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| 61 | (setf (slot-value self 'coeff) coeff))))
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| 62 | (call-next-method)
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| 63 | )
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| 64 |
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| 65 |
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| 66 | #|
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| 67 | (defun make-term-variable (nvars pos
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| 68 | &optional
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| 69 | (power 1)
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| 70 | (coeff 1))
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| 71 | "Construct a term in the polynomial ring RING[X[0],X[1],X[2],...X[NVARS-1]]
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| 72 | over the ring RING which represents a single variable. It assumes
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| 73 | number of variables NVARS and the variable is at position
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| 74 | POS. Optionally, the variable may appear raised to power POWER.
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| 75 | Optionally, the term may appear with an arbitrary coefficient, which
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| 76 | defaults to the unit of the RING."
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| 77 | (declare (type fixnum nvars pos))
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| 78 | (make-term :monom (make-monom-variable nvars pos power)
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| 79 | :coeff coeff))
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| 80 |
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| 81 | |#
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| 82 |
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| 83 | (defmethod r* ((term1 term) (term2 term))
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| 84 | "Returns the product of the terms TERM1 and TERM2,
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| 85 | or NIL when the product is 0. This definition takes care of divisors of 0
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| 86 | in the coefficient ring."
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| 87 | (let ((result (change-class (call-next-method) 'term)))
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| 88 | (setf (r-coeff result) (r* (r-coeff term1) (r-coeff term2)))
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| 89 | result))
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| 90 |
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| 91 | #|
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| 92 |
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| 93 | (defun term->cons (term)
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| 94 | "A human-readable representation of a term as a cons (MONOM . COEFF)."
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| 95 | (declare (type term term))
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| 96 | (cons (monom->list (term-monom term)) (term-coeff term)))
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| 97 |
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| 98 | |#
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