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source: branches/f4grobner/5am-monom.lisp@ 2822

Last change on this file since 2822 was 2822, 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 (let ((z (make-instance 'monom :dimension 3))
64 (m (make-instance 'monom :dimension 3 :exponents '(1 2 3)))
65 (n (make-instance 'monom :dimension 3 :exponents '(4 5 6)))
66 (m*n (make-instance 'monom :dimension 3 :exponents '(5 7 9)))
67 (n/m (make-instance 'monom :dimension 3 :exponents '(3 3 3)))
68 (m-tensor-n (make-instance 'monom :exponents '(1 2 3 4 5 6))))
69 (&body)))
70
71(test monom-basics
72 "Monom basics"
73 (with-fixture monom-context ()
74 (is (= (r-dimension m) 3))
75 (is (= (r-elt m 2) 3))
76 (is (= (r-total-degree m) 6))
77 (is (= (r-sugar m) 6))
78 (is (equalp (r->list z) '(0 0 0)) "Trivial monomial is a vector of 0's")
79 (is (r-equalp (r* m n) m*n))
80 (is (r-equalp (r/ n m) n/m))
81 (is (r-equalp (r-tensor-product m n) m-tensor-n))
82 (signals
83 (error "EXPONENTS must have length DIMENSION")
84 (make-instance 'monom :dimension 3 :exponents '(1 2 3 4 5 6)))
85 (is-true (r-divides-p m n))
86 (is-false (r-divides-p n m))
87 (is (r-equalp (r-gcd m n) m))
88 (is (r-equalp (r-lcm m n) n))
89 (is-true (r-depends-p m 0))
90 (signals
91 (error "Index out of bounds")
92 (r-depends-p m 3))
93 )
94 (with-fixture monom-context ()
95 (is (r-equalp (multiply-by m n) m*n)))
96 (with-fixture monom-context ()
97 (is (r-equalp (divide-by n m) n/m))))
98
99;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
100;;
101;; TERM class tests
102;;
103;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
104
105(def-fixture term-context ()
106 (let ((z (make-instance 'term :dimension 3 :coeff 5))
107 (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
108 (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
109 (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
110 (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
111 (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72)))
112 (&body)))
113
114(test term-basics
115 "Term basics"
116 (with-fixture term-context ()
117 (is (= (r-dimension m) 3))
118 (is (= (r-elt m 2) 3))
119 (is (= (r-total-degree m) 6))
120 (is (= (r-sugar m) 6))
121 (is (equalp (r->list z) '(0 0 0)) "Trivial term is a vector of 0's")
122 (is (r-equalp (r* m n) m*n))
123 (is (r-equalp (r/ n m) n/m))
124 (is (r-equalp (r-tensor-product m n) m-tensor-n))
125 (signals
126 (error "EXPONENTS must have length DIMENSION")
127 (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
128 (is-true (r-divides-p m n))
129 (is-false (r-divides-p n m))
130 (is (r-equalp (r-gcd m n) m))
131 (is (r-equalp (r-lcm m n) n))
132 (is-true (r-depends-p m 0))
133 (signals
134 (error "Index out of bounds")
135 (r-depends-p m 3))
136 )
137
138 )
139
140;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
141;;
142;; Order generics (LEX>, GRLEX>,...) tests
143;;
144;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
145
146
147(def-fixture order-context ()
148 (let ((p (make-instance 'monom :exponents '(1 3 2)))
149 (q (make-instance 'monom :exponents '(1 2 3))))
150 (&body)))
151
152(test order
153 "order"
154 (with-fixture order-context ()
155 (is-true (lex> p q))
156 (is-true (grlex> p q))
157 (is-true (revlex> p q))
158 (is-true (grevlex> p q))
159 (is-false (invlex> p q))))
160
161(def-fixture elim-order-context ()
162 (let* ((p (make-instance 'monom :exponents '(1 2 3)))
163 (q (make-instance 'monom :exponents '(4 5 6)))
164 (elim-order-factory (make-elimination-order-factory))
165 (elim-order-1 (funcall elim-order-factory 1))
166 (elim-order-2 (funcall elim-order-factory 2)))
167 (&body)))
168
169
170(test elim-order
171 "Elimination order"
172 (with-fixture elim-order-context ()
173 (is-false (funcall elim-order-1 p q))
174 (is-false (funcall elim-order-2 p q))))
175
176(run! 'monom-suite)
177(format t "All tests done!~%")
178
179
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