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source: branches/f4grobner/ring.lisp@ 3291

Last change on this file since 3291 was 3275, checked in by Marek Rychlik, 9 years ago

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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(defpackage "RING"
23 (:use :cl)
24 (:export "R-PARSE"
25 "UNIT-ELEMENT"
26 "R-ZEROP"
27 "R+"
28 "R-"
29 "R*"
30 "R+"
31 "R/"
32 "R-EXPT"
33 "R-LCM"
34 "R-EZGCD"
35 "R-GCD"
36 "R-TOTAL-DEGREE"
37 "R-DIMENSION"
38 "R-EXPONENTS"
39 "R-COEFF"
40 "R-SUGAR"
41 "R-DIVIDES-P"
42 "R-DIVIDES-LCM-P"
43 "R-LCM-DIVIDES-LCM-P"
44 "R-LCM-EQUAL-LCM-P"
45 "R-REL-PRIME-P"
46 "R-EQUALP"
47 "R-CLONE"
48 "R-ELT"
49 "R->LIST"
50 "R-DIVISIBLE-BY-P"
51 "R-REL-PRIME-P"
52 "R-DEPENDS-P"
53 "LEFT-TENSOR-PRODUCT-BY"
54 "RIGHT-TENSOR-PRODUCT-BY"
55 "LEFT-CONTRACT"
56 "R-LENGTH"
57 "MULTIPLY-BY"
58 "DIVIDE-BY"
59 "ADD-TO"
60 "SUBTRACT-FROM"
61 "UNARY-MINUS"
62 "SCALAR"
63 "SCALAR-COEFF"
64 "INSERT-ITEM"
65 "APPEND-ITEM"
66 "COPY-INSTANCE")
67 (:shadowing-import-from
68 #+openmcl-native-threads #:ccl
69 #+cmu #:pcl
70 #+sbcl #:sb-pcl
71 #+lispworks #:hcl
72 #+allegro #:mop
73 #+clisp #:clos
74 #:class-slots #:slot-definition-name)
75 (:documentation
76 "Implements ring operations. These are all operations that are
77performed on the coefficients by the package, and thus the coefficient
78ring can be changed by merely redefining these operations."))
79
80(in-package :ring)
81
82(defclass scalar ()
83 ((coeff :initarg :coeff :accessor scalar-coeff))
84 (:default-initargs :coeff nil)
85 (:documentation "Wraps objects suitable as scalars/polynomial coefficients"))
86
87(defmethod print-object ((self scalar) stream)
88 (print-unreadable-object (self stream :type t :identity t)
89 (format stream "COEFF=~A"
90 (slot-value self 'coeff))))
91
92(defgeneric unit-element (class))
93
94(defgeneric r-zerop (object)
95 (:method ((self number)) (zerop self))
96 (:documentation "Tests whether a ring element is 0."))
97
98(defgeneric r+ (x y)
99 (:method ((x number) (y number)) (+ x y))
100 (:documentation "Adds ring elements."))
101
102(defgeneric r- (x y)
103 (:method ((x number) (y number)) (- x y))
104 (:documentation "Subtracts ring elements."))
105
106(defgeneric r* (x y)
107 (:method ((x number) (y number)) (* x y))
108 (:documentation "Multiplies ring elements."))
109
110(defgeneric left-tensor-product-by (self other)
111 (:documentation "Takes a tensor product of SELF with OTHER, where
112OTHER is the left factor."))
113
114(defgeneric right-tensor-product-by (self other)
115 (:documentation "Takes a tensor product of SELF with OTHER, where
116OTHER is the right factor."))
117
118(defgeneric r/ (x y)
119 (:method ((x number) (y number)) (/ x y))
120 (:documentation "Divides ring elements."))
121
122(defgeneric r-lcm (x y)
123 (:method ((x integer) (y integer)) (lcm x y))
124 (:documentation "Returns the least common multiple of ring elements."))
125
126(defgeneric r-expt (x y)
127 (:method ((x integer) (y integer)) (expt x y))
128 (:documentation "Raises X to power Y."))
129
130(defgeneric r-ezgcd (x y)
131 (:method ((x integer) (y integer)
132 &aux (c (gcd x y)))
133 (values c (/ x c) (/ y c)))
134 (:documentation "Solves the diophantine system: X=C*X1, Y=C*X2,
135C=GCD(X,Y). It returns C, X1 and Y1. The result may be obtained by
136the Euclidean algorithm."))
137
138(defgeneric r-gcd (x y)
139 (:method ((x integer) (y integer))
140 (gcd x y))
141 (:documentation "Returns GCD(X,Y)."))
142
143(defgeneric r-dimension (object))
144(defgeneric r-exponents (object))
145
146(defgeneric r-coeff (object))
147(defgeneric (setf r-coeff) (new-value object))
148
149(defgeneric r-total-degree (object &optional start end))
150
151(defgeneric r-divides-p (object1 object2)
152 (:method ((object1 integer) (object2 integer))
153 (zerop (rem object2 object1)))
154 (:documentation "Returns T if OBJECT1 divides OBJECT2"))
155
156(defgeneric r-divides-lcm-p (object1 object2 object3)
157 (:documentation "Returns T if OBJECT divides LCM(OBJECT2, OBJECT3), NIL otherwise."))
158
159(defgeneric r-lcm-divides-lcm-p (object1 object2 object3 object4)
160 (:documentation "Returns T if LCM(OBJECT1,OBJECT2) divides LCM(OBJECT3,OBJECT4), NIL otherwise."))
161
162(defgeneric r-lcm-equal-lcm-p (object1 object2 object3 object4)
163 (:documentation "Returns T if object LCM(OBJECT1,OBJECT2) equals LCM(OBJECT3,OBJECT4), NIL otherwise."))
164
165(defgeneric r-equalp (object1 object2)
166 (:method (object1 object2) (equalp object1 object2))
167 (:method ((object1 list) (object2 list))
168 (every #'r-equalp object1 object2))
169 (:method ((object1 scalar) (object2 scalar))
170 (r-equalp (scalar-coeff object1) (scalar-coeff object2)))
171 (:documentation "Equality using deep comparison of object slots."))
172
173(defgeneric r-elt (object index)
174 (:documentation "Access a part of an object OBJECT with index INDEX."))
175
176(defgeneric (setf r-elt) (new-value object index)
177 (:documentation "A setter of a part of an object OBJECT with index INDEX."))
178
179(defgeneric r-length (object))
180
181(defgeneric r->list (object))
182(defgeneric r-sugar (object))
183(defgeneric r-rel-prime-p (object1 object2))
184(defgeneric left-contract (object k))
185(defgeneric r-divisible-by-p (object1 object2))
186(defgeneric r-depends-p (object k))
187
188(defgeneric multiply-by (self other)
189 (:method (self other) (r* self other))
190 (:documentation "Multiply object SELF and OTHER and store the result
191into SELF. It returns SELF. For instances of a class, this operation
192may be destructive."))
193
194(defgeneric divide-by (self other)
195 (:method (self other) (r/ self other))
196 (:documentation "Divided object SELF by OTHER and store the result
197into SELF. It returns SELF. For instances of a class, this operation
198may be destructive."))
199
200(defgeneric add-to (self other)
201 (:documentation "Add to object SELF another object OTHER. For
202complex objects, it may destructively modify SELF and destructively
203modify/invalidate object OTHER. For standard classes implementing this
204method, the result should be an object which is EQ to SELF. For
205built-in classes, such as NUMBER, the returned object may not be EQ to
206the original, but it will be EQL to it.")
207 (:method (self other) (r+ self other)))
208
209(defgeneric subtract-from (self other)
210 (:documentation "Subtract from an object SELF another object OTHER.
211For complex objects, it may destructively modify SELF and
212destructively modify/invalidate object OTHER. For standard classes
213implementing this method, the result should be an object which is EQ
214to SELF. For built-in classes, such as NUMBER, the returned object may
215not be EQ to the original.")
216 (:method (self other) (r- self other)))
217
218(defgeneric unary-minus (self)
219 (:method ((x number)) (- x)))
220
221(defgeneric insert-item (self item))
222(defgeneric append-item (self item))
223
224;; Source: http://stackoverflow.com/questions/11067899/is-there-a-generic-method-for-cloning-clos-objects
225;; NOTE: This is a shallow copy. Add an around method for classes which need deep copy of the slots.
226(defgeneric copy-instance (object &rest initargs &key &allow-other-keys)
227 (:documentation "Makes and returns a shallow copy of OBJECT.
228
229 An uninitialized object of the same class as OBJECT is allocated by
230 calling ALLOCATE-INSTANCE. For all slots returned by
231 CLASS-SLOTS, the returned object has the
232 same slot values and slot-unbound status as OBJECT.
233
234 REINITIALIZE-INSTANCE is called to update the copy with INITARGS.")
235 (:method ((object standard-object) &rest initargs &key &allow-other-keys)
236 (let* ((class (class-of object))
237 (copy (allocate-instance class)))
238 (dolist (slot-name (mapcar #'slot-definition-name (class-slots class)))
239 (when (slot-boundp object slot-name)
240 (setf (slot-value copy slot-name)
241 (slot-value object slot-name))))
242 (apply #'reinitialize-instance copy initargs))))
243
244#|
245;; A stripped-down version of shallow copy
246;; Source: http://stackoverflow.com/questions/11067899/is-there-a-generic-method-for-cloning-clos-objects
247(defun shallow-copy-object (original)
248 (let* ((class (class-of original))
249 (copy (allocate-instance class)))
250 (dolist (slot (mapcar #'slot-definition-name (class-slots class)))
251 (when (slot-boundp original slot)
252 (setf (slot-value copy slot)
253 (slot-value original slot))))
254 copy))
255|#
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