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source: branches/f4grobner/5am-monom.lisp@ 3728

Last change on this file since 3728 was 3609, 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 :copy "copy")
41(require :monom "monom")
42
43(defpackage #:5am-monom
44 (:use :cl :it.bese.fiveam :monom :copy)
45 (:documentation "Monom and derived classes tests"))
46
47(in-package :5am-monom)
48
49(def-suite monom-suite
50 :description "Monom package suite")
51
52(in-suite monom-suite)
53
54(def-fixture monom-context ()
55 ;; Use SYMBOL-MACROLET not let to avoid 'unused variable' complaints
56 (symbol-macrolet
57 ((m (make-instance 'monom :exponents '(1 2 3)))
58 (n (make-instance 'monom :exponents '(4 5 6)))
59 (m*n (make-instance 'monom :exponents '(5 7 9)))
60 (n/m (make-instance 'monom :exponents '(3 3 3)))
61 (m-tensor-n (make-instance 'monom :exponents '(1 2 3 4 5 6))))
62 (&body)))
63
64(test monom-basics
65 "Monom basics"
66 (with-fixture monom-context ()
67 (is (= (monom-dimension m) 3))
68 (is (= (monom-elt m 2) 3))
69 (is (= (total-degree m) 6))
70 (is (= (sugar m) 6))
71 (is (equalp (->list (make-instance 'monom :dimension 3)) '(0 0 0)) "Trivial monomial is a vector of 0's")
72 (is (universal-equalp (multiply-2 m n) m*n))
73 (is (universal-equalp (divide-by n m) n/m))
74 (is (universal-equalp (right-tensor-product-by m n) m-tensor-n))
75 (signals
76 (error "EXPONENTS must have length DIMENSION")
77 (make-instance 'monom :dimension 3 :exponents '(1 2 3 4 5 6)))
78 (is-true (divides-p m n))
79 (is-false (divides-p n m))
80 (is (universal-equalp (universal-gcd m n) m))
81 (is (universal-equalp (universal-lcm m n) n))
82 (is-true (depends-p m 0))
83 (signals
84 (error "Index out of bounds")
85 (depends-p m 3))
86 )
87 (with-fixture monom-context ()
88 (is (universal-equalp (multiply-by m n) m*n)))
89 (with-fixture monom-context ()
90 (is (universal-equalp (divide-by n m) n/m)))
91 (with-fixture monom-context ()
92 (is (equal (->list m) '(1 2 3)))))
93
94;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
95;;
96;; Order generics (LEX>, GRLEX>,...) tests
97;;
98;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
99
100(def-fixture order-context ()
101 (symbol-macrolet
102 ((p (make-instance 'monom :exponents '(1 3 2)))
103 (q (make-instance 'monom :exponents '(1 2 3))))
104 (&body)))
105
106(test order
107 "order"
108 (with-fixture order-context ()
109 (is-true (lex> p q))
110 (is-true (grlex> p q))
111 (is-true (revlex> p q))
112 (is-true (grevlex> p q))
113 (is-false (invlex> p q))))
114
115(def-fixture elim-order-context ()
116 (let* ((p (make-instance 'monom :exponents '(1 2 3)))
117 (q (make-instance 'monom :exponents '(4 5 6)))
118 (elim-order-factory (make-elimination-order-factory))
119 (elim-order-1 (funcall elim-order-factory 1))
120 (elim-order-2 (funcall elim-order-factory 2)))
121 (&body)))
122
123
124(test elim-order
125 "Elimination order"
126 (with-fixture elim-order-context ()
127 (is-false (funcall elim-order-1 p q))
128 (is-false (funcall elim-order-2 p q))))
129
130;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
131;;
132;; TERM class tests
133;;
134;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
135
136(def-fixture term-context ()
137 (symbol-macrolet
138 ((z (make-instance 'term :dimension 3 :coeff 5))
139 (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
140 (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
141 (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
142 (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
143 (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72))
144 (m-uminus (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff -6)))
145 (&body)))
146
147(test term-basics
148 "Term basics"
149 (with-fixture term-context ()
150 (is (= (monom-dimension m) 3))
151 (is (= (monom-elt m 2) 3))
152 (is (= (total-degree m) 6))
153 (is (= (sugar m) 6))
154 (is (equalp (->list z) '(0 0 0)) "Trivial term is a vector of 0's")
155 (is (universal-equalp (multiply m n) m*n))
156 (is (universal-equalp (divide n m) n/m))
157 (is (universal-equalp (right-tensor-product-by m n) m-tensor-n))
158 (signals
159 (error "EXPONENTS must have length DIMENSION")
160 (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
161 (is-true (divides-p m n))
162 (is-false (divides-p n m))
163 (is (universal-equalp (universal-gcd m n) m))
164 (is (universal-equalp (universal-lcm m n) n))
165 (is-true (depends-p m 0))
166 (signals
167 (error "Index out of bounds")
168 (depends-p m 3))
169 )
170 (with-fixture term-context ()
171 (is (universal-equalp (multiply-by m n) m*n)))
172 (with-fixture term-context ()
173 (is (universal-equalp (divide-by n m) n/m)))
174 (with-fixture term-context ()
175 (is (universal-equalp (unary-minus m) m-uminus))))
176
177
178(def-fixture monom/term-conversion-context ()
179 (symbol-macrolet
180 ((term (make-instance 'term :exponents '(1 2 3) :coeff 4))
181 (monom (make-instance 'monom :exponents '(1 2 3)))
182 (promoted-monom (make-instance 'term :exponents '(1 2 3) :coeff 1)))
183 (&body)))
184
185(test monom/term-conversion
186 "Monom/term conversion"
187 (with-fixture monom/term-conversion-context ()
188 (is (universal-equalp (change-class term 'monom) monom)))
189 (with-fixture monom/term-conversion-context ()
190 (is (universal-equalp (change-class monom 'term) promoted-monom))))
191
192(test monom/term-copy
193 "Monom/term copy"
194 (with-fixture monom/term-conversion-context ()
195 (is (universal-equalp (copy-instance monom) monom))
196 (is (universal-equalp (copy-instance term) term))))
197
198(test term-tensor-product
199 "Term tensor product"
200 (let ((term1 (make-instance 'term :exponents '(1 2 3) :coeff 4))
201 (term2 (make-instance 'term :exponents '(4 5) :coeff 3))
202 (term1-left-tensor-by-term2 (make-instance 'term :exponents '(4 5 1 2 3) :coeff 12)))
203 (is (universal-equalp (left-tensor-product-by term1 term2) term1-left-tensor-by-term2))))
204
205(test term-contract
206 "Term contract"
207 (let ((term (make-instance 'term :exponents '(1 2 3) :coeff 4))
208 (term-contracted (make-instance 'term :exponents '(2 3) :coeff 4)))
209 (is (universal-equalp (left-contract term 1) term-contracted))))
210
211(run! 'monom-suite)
212(format t "All tests done!~%")
213
214
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