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source: branches/f4grobner/5am-monom.lisp@ 2827

Last change on this file since 2827 was 2827, 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 (symbol-macrolet ((m (make-instance 'monom :dimension 3 :exponents '(1 2 3)))
64 (n (make-instance 'monom :dimension 3 :exponents '(4 5 6)))
65 (m*n (make-instance 'monom :dimension 3 :exponents '(5 7 9)))
66 (n/m (make-instance 'monom :dimension 3 :exponents '(3 3 3)))
67 (m-tensor-n (make-instance 'monom :exponents '(1 2 3 4 5 6))))
68 (&body)))
69
70(test monom-basics
71 "Monom basics"
72 (with-fixture monom-context ()
73 (is (= (r-dimension m) 3))
74 (is (= (r-elt m 2) 3))
75 (is (= (r-total-degree m) 6))
76 (is (= (r-sugar m) 6))
77 (is (equalp (r->list (make-instance 'monom :dimension 3)) '(0 0 0)) "Trivial monomial is a vector of 0's")
78 (is (r-equalp (r* m n) m*n))
79 (is (r-equalp (r/ n m) n/m))
80 (is (r-equalp (r-tensor-product m n) m-tensor-n))
81 (signals
82 (error "EXPONENTS must have length DIMENSION")
83 (make-instance 'monom :dimension 3 :exponents '(1 2 3 4 5 6)))
84 (is-true (r-divides-p m n))
85 (is-false (r-divides-p n m))
86 (is (r-equalp (r-gcd m n) m))
87 (is (r-equalp (r-lcm m n) n))
88 (is-true (r-depends-p m 0))
89 (signals
90 (error "Index out of bounds")
91 (r-depends-p m 3))
92 )
93 (with-fixture monom-context ()
94 (is (r-equalp (multiply-by m n) m*n)))
95 (with-fixture monom-context ()
96 (is (r-equalp (divide-by n m) n/m))))
97
98;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
99;;
100;; TERM class tests
101;;
102;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
103
104(def-fixture term-context ()
105 (symbol-macrolet ((z (make-instance 'term :dimension 3 :coeff 5))
106 (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
107 (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
108 (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
109 (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
110 (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72)))
111 (&body)))
112
113(test term-basics
114 "Term basics"
115 (with-fixture term-context ()
116 (is (= (r-dimension m) 3))
117 (is (= (r-elt m 2) 3))
118 (is (= (r-total-degree m) 6))
119 (is (= (r-sugar m) 6))
120 (is (equalp (r->list z) '(0 0 0)) "Trivial term is a vector of 0's")
121 (is (r-equalp (r* m n) m*n))
122 (is (r-equalp (r/ n m) n/m))
123 (is (r-equalp (r-tensor-product m n) m-tensor-n))
124 (signals
125 (error "EXPONENTS must have length DIMENSION")
126 (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
127 (is-true (r-divides-p m n))
128 (is-false (r-divides-p n m))
129 (is (r-equalp (r-gcd m n) m))
130 (is (r-equalp (r-lcm m n) n))
131 (is-true (r-depends-p m 0))
132 (signals
133 (error "Index out of bounds")
134 (r-depends-p m 3))
135 )
136
137 )
138
139;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
140;;
141;; Order generics (LEX>, GRLEX>,...) tests
142;;
143;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
144
145
146(def-fixture order-context ()
147 (symbol-macrolet ((p (make-instance 'monom :exponents '(1 3 2)))
148 (q (make-instance 'monom :exponents '(1 2 3))))
149 (&body)))
150
151(test order
152 "order"
153 (with-fixture order-context ()
154 (is-true (lex> p q))
155 (is-true (grlex> p q))
156 (is-true (revlex> p q))
157 (is-true (grevlex> p q))
158 (is-false (invlex> p q))))
159
160(def-fixture elim-order-context ()
161 (let* ((p (make-instance 'monom :exponents '(1 2 3)))
162 (q (make-instance 'monom :exponents '(4 5 6)))
163 (elim-order-factory (make-elimination-order-factory))
164 (elim-order-1 (funcall elim-order-factory 1))
165 (elim-order-2 (funcall elim-order-factory 2)))
166 (&body)))
167
168
169(test elim-order
170 "Elimination order"
171 (with-fixture elim-order-context ()
172 (is-false (funcall elim-order-1 p q))
173 (is-false (funcall elim-order-2 p q))))
174
175(run! 'monom-suite)
176(format t "All tests done!~%")
177
178
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