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source: branches/f4grobner/term.lisp@ 3161

Last change on this file since 3161 was 3161, checked in by Marek Rychlik, 9 years ago

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1;;; -*- Mode: Lisp -*-
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(defpackage "TERM"
23 (:use :cl :monom :ring)
24 (:export "TERM"
25 "MAKE-TERM-VARIABLE"
26 )
27 (:documentation "This package implements class TERM. A term is a
28product of a scalar and powers of some variables, such as
295*X^2*Y^3. The part of the term without the coefficient is a monomial
30X^2*Y^3, which is represented by class MONOM, provided by the :MONOM
31package. In this implementation, a TERM specializes MONOL. Also, a
32monomial can be considered a TERM whose coefficient is the unit
33element (1) of the underlying ring. The generic method CHANGE-CLASS
34can be used to convert between a MONOM and a TERM, observing this
35convention."))
36
37(in-package :term)
38
39(proclaim '(optimize (speed 3) (space 0) (safety 0) (debug 0)))
40
41(defclass term (monom scalar)
42 ()
43 (:default-initargs :dimension nil :exponents nil :coeff nil)
44 (:documentation "Implements a term, i.e. a product of a scalar
45and powers of some variables, such as 5*X^2*Y^3."))
46
47(defmethod print-object ((self term) stream)
48 (with-slots (dimension exponents coeff)
49 self
50 (format stream "#<TERM DIMENSION=~A EXPONENTS=~A COEFF=~A>"
51 dimension
52 exponents
53 ;;coeff
54 #\?))
55 self)
56
57
58(defmethod r-equalp ((term1 term) (term2 term))
59 (and (r-equalp (scalar-coeff term1) (scalar-coeff term2))
60 (= (monom-dimension term1) (monom-dimension term2))
61 (equalp (monom-exponents term1) (monom-exponents term2))))
62
63
64#|
65(defmethod shared-initialize ((self term) slot-names
66 &rest
67 initargs
68 &key
69 coeff
70 &allow-other-keys)
71 (declare (ignore initargs))
72 (if (eq slot-names t) (setf slot-names '(coeff)))
73 (dolist (slot-name slot-names)
74 (case slot-name
75 (coeff
76 (setf (slot-value self 'coeff) coeff)))))
77|#
78
79(defmethod update-instance-for-different-class ((old monom) (new term)
80 &rest initargs &key &allow-other-keys)
81 ;; Changing an instance of class MONOM to class TERM may also
82 ;; happen when OLD is an instance of TERM, in which case the
83 ;; value of the coefficient should be preserved.
84 `(call-next-method :coeff 1 ,@initargs))
85
86#|
87(defun make-term-variable (nvars pos
88 &optional
89 (power 1)
90 (coeff 1))
91 "Construct a term in the polynomial ring RING[X[0],X[1],X[2],...X[NVARS-1]]
92over the ring RING which represents a single variable. It assumes
93number of variables NVARS and the variable is at position
94POS. Optionally, the variable may appear raised to power POWER.
95Optionally, the term may appear with an arbitrary coefficient, which
96defaults to the unit of the RING."
97 (declare (type fixnum nvars pos))
98 (make-term :monom (make-monom-variable nvars pos power)
99 :coeff coeff))
100
101|#
102
103(defmethod multiply-by :before ((self term) (other term))
104 "Destructively multiply terms SELF and OTHER and store the result into SELF.
105It returns SELF."
106 (setf (scalar-coeff self) (multiply-by (scalar-coeff self) (scalar-coeff other))))
107
108(defmethod left-tensor-product-by ((self term) (other term))
109 (setf (scalar-coeff self) (multiply-by (scalar-coeff self) (scalar-coeff other)))
110 (call-next-method))
111
112(defmethod right-tensor-product-by ((self term) (other term))
113 (setf (scalar-coeff self) (multiply-by (scalar-coeff self) (scalar-coeff other)))
114 (call-next-method))
115
116(defmethod left-tensor-product-by ((self term) (other monom))
117 (call-next-method))
118
119(defmethod right-tensor-product-by ((self term) (other monom))
120 (call-next-method))
121
122(defmethod divide-by ((self term) (other term))
123 "Destructively divide term SELF by OTHER and store the result into SELF.
124It returns SELF."
125 (setf (scalar-coeff self) (divide-by (scalar-coeff self) (scalar-coeff other)))
126 (call-next-method))
127
128(defmethod unary-minus ((self term))
129 (setf (scalar-coeff self) (unary-minus (scalar-coeff self)))
130 self)
131
132(defmethod r* ((term1 term) (term2 term))
133 "Non-destructively multiply TERM1 by TERM2."
134 (multiply-by (copy-instance term1) (copy-instance term2)))
135
136(defmethod r-zerop ((self term))
137 (r-zerop (scalar-coeff self)))
138
139#|
140
141(defun term->cons (term)
142 "A human-readable representation of a term as a cons (MONOM . COEFF)."
143 (declare (type term term))
144 (cons (monom->list (term-monom term)) (scalar-coeff term)))
145
146|#
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