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source: branches/f4grobner/5am-monom.lisp@ 3319

Last change on this file since 3319 was 3220, 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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
23;;
24;; Run tests using 5am unit testing framework
25;;
26;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
27
28;; We assume that QuickLisp package manager is installed.
29;; See :
30;; https://www.quicklisp.org/beta/
31;;
32
33;; The following is unnecessary after running:
34;; * (ql:add-to-init-file)
35;; at lisp prompt:
36;;(load "~/quicklisp/setup")
37
38(ql:quickload :fiveam)
39
40(require :ring "ring")
41(require :monom "monom")
42(require :term "term")
43(require :order "order")
44
45(defpackage #:5am-monom
46 (:use :cl :it.bese.fiveam :ring :monom :term :order)
47 (:documentation "Monom and derived classes tests"))
48
49(in-package :5am-monom)
50
51(def-suite monom-suite
52 :description "Monom package suite")
53
54(in-suite monom-suite)
55
56;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
57;;
58;; MONOM class tests
59;;
60;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
61
62(def-fixture monom-context ()
63 ;; Use SYMBOL-MACROLET not let to avoid 'unused variable' complaints
64 (symbol-macrolet
65 ((m (make-instance 'monom :dimension 3 :exponents '(1 2 3)))
66 (n (make-instance 'monom :dimension 3 :exponents '(4 5 6)))
67 (m*n (make-instance 'monom :dimension 3 :exponents '(5 7 9)))
68 (n/m (make-instance 'monom :dimension 3 :exponents '(3 3 3)))
69 (m-tensor-n (make-instance 'monom :exponents '(1 2 3 4 5 6))))
70 (&body)))
71
72(test monom-basics
73 "Monom basics"
74 (with-fixture monom-context ()
75 (is (= (r-dimension m) 3))
76 (is (= (r-elt m 2) 3))
77 (is (= (r-total-degree m) 6))
78 (is (= (r-sugar m) 6))
79 (is (equalp (r->list (make-instance 'monom :dimension 3)) '(0 0 0)) "Trivial monomial is a vector of 0's")
80 (is (r-equalp (r* m n) m*n))
81 (is (r-equalp (r/ n m) n/m))
82 (is (r-equalp (right-tensor-product-by m n) m-tensor-n))
83 (signals
84 (error "EXPONENTS must have length DIMENSION")
85 (make-instance 'monom :dimension 3 :exponents '(1 2 3 4 5 6)))
86 (is-true (r-divides-p m n))
87 (is-false (r-divides-p n m))
88 (is (r-equalp (r-gcd m n) m))
89 (is (r-equalp (r-lcm m n) n))
90 (is-true (r-depends-p m 0))
91 (signals
92 (error "Index out of bounds")
93 (r-depends-p m 3))
94 )
95 (with-fixture monom-context ()
96 (is (r-equalp (multiply-by m n) m*n)))
97 (with-fixture monom-context ()
98 (is (r-equalp (divide-by n m) n/m))))
99
100;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
101;;
102;; TERM class tests
103;;
104;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
105
106(def-fixture term-context ()
107 (symbol-macrolet
108 ((z (make-instance 'term :dimension 3 :coeff 5))
109 (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
110 (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
111 (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
112 (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
113 (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72))
114 (m-uminus (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff -6)))
115 (&body)))
116
117(test term-basics
118 "Term basics"
119 (with-fixture term-context ()
120 (is (= (r-dimension m) 3))
121 (is (= (r-elt m 2) 3))
122 (is (= (r-total-degree m) 6))
123 (is (= (r-sugar m) 6))
124 (is (equalp (r->list z) '(0 0 0)) "Trivial term is a vector of 0's")
125 (is (r-equalp (r* m n) m*n))
126 (is (r-equalp (r/ n m) n/m))
127 (is (r-equalp (right-tensor-product-by m n) m-tensor-n))
128 (signals
129 (error "EXPONENTS must have length DIMENSION")
130 (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
131 (is-true (r-divides-p m n))
132 (is-false (r-divides-p n m))
133 (is (r-equalp (r-gcd m n) m))
134 (is (r-equalp (r-lcm m n) n))
135 (is-true (r-depends-p m 0))
136 (signals
137 (error "Index out of bounds")
138 (r-depends-p m 3))
139 )
140 (with-fixture term-context ()
141 (is (r-equalp (multiply-by m n) m*n)))
142 (with-fixture term-context ()
143 (is (r-equalp (divide-by n m) n/m)))
144 (with-fixture term-context ()
145 (is (r-equalp (unary-minus m) m-uminus))))
146
147
148(def-fixture monom/term-conversion-context ()
149 (symbol-macrolet
150 ((term (make-instance 'term :exponents '(1 2 3) :coeff 4))
151 (monom (make-instance 'monom :exponents '(1 2 3)))
152 (promoted-monom (make-instance 'term :exponents '(1 2 3) :coeff 1)))
153 (&body)))
154
155(test monom/term-conversion
156 "Monom/term conversion"
157 (with-fixture monom/term-conversion-context ()
158 (is (r-equalp (change-class term 'monom) monom)))
159 (with-fixture monom/term-conversion-context ()
160 (is (r-equalp (change-class monom 'term) promoted-monom))))
161
162(test monom/term-copy
163 "Monom/term copy"
164 (with-fixture monom/term-conversion-context ()
165 (is (r-equalp (copy-instance monom) monom))
166 (is (r-equalp (copy-instance term) term)))
167 )
168
169(test term-tensor-product
170 "Term tensor product"
171 (let ((term1 (make-instance 'term :exponents '(1 2 3) :coeff 4))
172 (term2 (make-instance 'term :exponents '(4 5) :coeff 3))
173 (term1-left-tensor-by-term2 (make-instance 'term :exponents '(4 5 1 2 3) :coeff 12)))
174 (is (r-equalp (left-tensor-product-by term1 term2) term1-left-tensor-by-term2))))
175
176(test term-contract
177 "Term contract"
178 (let ((term (make-instance 'term :exponents '(1 2 3) :coeff 4))
179 (term-contracted (make-instance 'term :exponents '(2 3) :coeff 4)))
180 (is (r-equalp (left-contract term 1) term-contracted))))
181
182
183;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
184;;
185;; Order generics (LEX>, GRLEX>,...) tests
186;;
187;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
188
189
190(def-fixture order-context ()
191 (symbol-macrolet
192 ((p (make-instance 'monom :exponents '(1 3 2)))
193 (q (make-instance 'monom :exponents '(1 2 3))))
194 (&body)))
195
196(test order
197 "order"
198 (with-fixture order-context ()
199 (is-true (lex> p q))
200 (is-true (grlex> p q))
201 (is-true (revlex> p q))
202 (is-true (grevlex> p q))
203 (is-false (invlex> p q))))
204
205(def-fixture elim-order-context ()
206 (let* ((p (make-instance 'monom :exponents '(1 2 3)))
207 (q (make-instance 'monom :exponents '(4 5 6)))
208 (elim-order-factory (make-elimination-order-factory))
209 (elim-order-1 (funcall elim-order-factory 1))
210 (elim-order-2 (funcall elim-order-factory 2)))
211 (&body)))
212
213
214(test elim-order
215 "Elimination order"
216 (with-fixture elim-order-context ()
217 (is-false (funcall elim-order-1 p q))
218 (is-false (funcall elim-order-2 p q))))
219
220(run! 'monom-suite)
221(format t "All tests done!~%")
222
223
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