[1201] | 1 | ;;; -*- Mode: Lisp -*-
|
---|
[78] | 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 |
|
---|
[397] | 22 | (defpackage "TERM"
|
---|
[1605] | 23 | (:use :cl :monom :ring)
|
---|
[435] | 24 | (:export "TERM"
|
---|
[776] | 25 | "TERM-EXPONENTS"
|
---|
[802] | 26 | "TERM-MONOM"
|
---|
[435] | 27 | "TERM-COEFF"
|
---|
[402] | 28 | "MAKE-TERM"
|
---|
[403] | 29 | "MAKE-TERM-VARIABLE"
|
---|
| 30 | "TERM-MUL"
|
---|
[1148] | 31 | "TERM-SUGAR"
|
---|
[1620] | 32 | "TERM-DEPENDS-P"
|
---|
[1148] | 33 | "TERM->CONS"))
|
---|
[78] | 34 |
|
---|
[142] | 35 |
|
---|
[420] | 36 | (in-package :term)
|
---|
| 37 |
|
---|
[1926] | 38 | (proclaim '(optimize (speed 3) (space 0) (safety 0) (debug 0)))
|
---|
| 39 |
|
---|
[2189] | 40 | (defclass term (monom)
|
---|
[2276] | 41 | ((coeff :initarg :coeff :accessor term-coeff))
|
---|
| 42 | (:default-initargs :dimension nil :exponents nil :coeff nil))
|
---|
[766] | 43 |
|
---|
[2275] | 44 | (defmethod print-object ((self term) stream)
|
---|
| 45 | (format stream "#<TERM DIMENSION=~A EXPONENTS=~A COEFF=~A>"
|
---|
| 46 | (slot-value self 'dimension)
|
---|
| 47 | (slot-value self 'exponents)
|
---|
| 48 | (slot-value self 'coeff)))
|
---|
| 49 |
|
---|
[2335] | 50 | #|
|
---|
[2334] | 51 | (defmethod initialize-instance ((self term)
|
---|
[2330] | 52 | &rest
|
---|
| 53 | args
|
---|
| 54 | &key
|
---|
| 55 | &allow-other-keys)
|
---|
[2286] | 56 | (format t "TERM::INITIALIZE-INSTANCE called with:~&ARGS: ~W.~%" args)
|
---|
| 57 | (call-next-method))
|
---|
[2335] | 58 | |#
|
---|
[2018] | 59 |
|
---|
[2288] | 60 | #|
|
---|
[2189] | 61 | (defun make-term-variable (nvars pos
|
---|
[2021] | 62 | &optional
|
---|
| 63 | (power 1)
|
---|
[2189] | 64 | (coeff 1))
|
---|
[400] | 65 | "Construct a term in the polynomial ring RING[X[0],X[1],X[2],...X[NVARS-1]]
|
---|
[399] | 66 | over the ring RING which represents a single variable. It assumes
|
---|
| 67 | number of variables NVARS and the variable is at position
|
---|
| 68 | POS. Optionally, the variable may appear raised to power POWER.
|
---|
| 69 | Optionally, the term may appear with an arbitrary coefficient, which
|
---|
| 70 | defaults to the unit of the RING."
|
---|
[2189] | 71 | (declare (type fixnum nvars pos))
|
---|
[1959] | 72 | (make-term :monom (make-monom-variable nvars pos power)
|
---|
| 73 | :coeff coeff))
|
---|
[51] | 74 |
|
---|
[2189] | 75 | (defmethod ring-mul ((term1 term) (term2 term))
|
---|
[377] | 76 | "Returns the product of the terms TERM1 and TERM2,
|
---|
| 77 | or NIL when the product is 0. This definition takes care of divisors of 0
|
---|
| 78 | in the coefficient ring."
|
---|
[2189] | 79 | (let ((c (ring-mul (term-coeff term1) (term-coeff term2))))
|
---|
| 80 | (unless (ring-zerop c)
|
---|
[1960] | 81 | (make-term :monom (monom-mul (term-monom term1) (term-monom term2))
|
---|
| 82 | :coeff c))))
|
---|
[781] | 83 |
|
---|
| 84 | (defun term-sugar (term)
|
---|
[1901] | 85 | (declare (type term term))
|
---|
[805] | 86 | (monom-sugar (term-monom term)))
|
---|
[1147] | 87 |
|
---|
[1619] | 88 | ;; Does the term depend on variable K?
|
---|
| 89 | (defun term-depends-p (term k)
|
---|
| 90 | "Return T if the term TERM depends on variable number K."
|
---|
[1901] | 91 | (declare (type term term) (type fixnum k))
|
---|
[1619] | 92 | (monom-depends-p (term-monom term) k))
|
---|
| 93 |
|
---|
[1147] | 94 | (defun term->cons (term)
|
---|
[1154] | 95 | "A human-readable representation of a term as a cons (MONOM . COEFF)."
|
---|
[1902] | 96 | (declare (type term term))
|
---|
[1147] | 97 | (cons (monom->list (term-monom term)) (term-coeff term)))
|
---|
| 98 |
|
---|
[2288] | 99 | |#
|
---|