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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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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(load "ngrobner.asd")
41(asdf:load-system :ngrobner)
42
43(defpackage #:ngrobner-tests
44 (:use :cl :it.bese.fiveam
45 :ngrobner :priority-queue :monomial
46 :utils :order :ring :term :ring-and-order
47 :termlist :polynomial
48 :priority-queue
49 )
50 )
51
52(in-package #:ngrobner-tests)
53
54(def-suite ngrobner-suite
55 :description "New Groebner Package Suite")
56
57(in-suite ngrobner-suite)
58
59#+nil
60(test dummy-test
61 "Makelist"
62 (is (= (+ 2 2)) "2 plus 2 wasn't equal to 4 (using #'= to test equality)")
63 (is (= 0 (+ -1 1)))
64 (signals
65 (error "Trying to add 4 to FOO didn't signal an error")
66 (+ 'foo 4))
67 (is (= 0 (+ 1 1)) "this should have failed"))
68
69(test makelist-1
70 "makelist-1 test"
71 (is (equal (makelist-1 (* 2 i) i 0 10) '(0 2 4 6 8 10 12 14 16 18 20)))
72 (is (equal (makelist-1 (* 2 i) i 0 10 3) '(0 6 12 18))))
73
74(test makelist
75 "makelist"
76 (is (equal (makelist (+ (* i i) (* j j)) (i 1 4) (j 1 i)) '(2 5 8 10 13 18 17 20 25 32)))
77 (is (equal (makelist (list i j '---> (+ (* i i) (* j j))) (i 1 4) (j 1 i))
78 '((1 1 ---> 2) (2 1 ---> 5) (2 2 ---> 8) (3 1 ---> 10) (3 2 ---> 13)
79 (3 3 ---> 18) (4 1 ---> 17) (4 2 ---> 20) (4 3 ---> 25) (4 4 ---> 32)))))
80
81(test monom
82 "monom"
83 (is (every #'= (make-monom :dimension 3) '(0 0 0)) "Trivial monomial is a vector of 0's")
84 (is (every #'= (make-monom :initial-exponents '(1 2 3)) '(1 2 3)) "Monomial with powers 1,2,3")
85 (let ((p (make-monom :initial-exponents '(1 2 3))))
86 (is (every #'= (monom-map (lambda (x) x) p) '(1 2 3)))))
87
88
89(test order
90 "order"
91 (let ((p (make-monom :initial-exponents '(1 3 2)))
92 (q (make-monom :initial-exponents '(1 2 3))))
93 (is-true (lex> p q))
94 (is-true (grlex> p q))
95 (is-true (revlex> p q))
96 (is-true (grevlex> p q))
97 (is-false (invlex> p q))))
98
99(test elim-order
100 "elimination order"
101 (let* ((p (make-monom :initial-exponents '(1 2 3)))
102 (q (make-monom :initial-exponents '(4 5 6)))
103 (elim-order-factory (make-elimination-order-factory))
104 (elim-order-1 (funcall elim-order-factory 1))
105 (elim-order-2 (funcall elim-order-factory 2)))
106 (is-false (funcall elim-order-1 p q))
107 (is-false (funcall elim-order-2 p q))))
108
109(test term
110 "term"
111 (let* ((m1 (make-monom :initial-exponents '(1 2 3)))
112 (m2 (make-monom :initial-exponents '(3 5 2)))
113 (m3 (monom-mul m1 m2))
114 (t1 (make-term m1 7))
115 (t2 (make-term m2 9))
116 (t3 (make-term m3 (* 7 9))))
117 (is (equalp (term-mul *ring-of-integers* t1 t2) t3))))
118
119(test termlist
120 "termlist"
121 (let* ((t1 (make-term (make-monom :initial-exponents '(1 2 3)) 7))
122 (t2 (make-term (make-monom :initial-exponents '(3 5 2)) 9))
123 (t11 (make-term (make-monom :initial-exponents '(2 4 6)) 49))
124 (t12 (make-term (make-monom :initial-exponents '(4 7 5)) 126))
125 (t22 (make-term (make-monom :initial-exponents '(6 10 4)) 81))
126 (p (list t2 t1))
127 (p-sq (list t22 t12 t11))
128 (ring-and-order (make-ring-and-order))
129 (q (termlist-expt ring-and-order p 2)))
130 (is-true (equalp q p-sq))))
131
132(test poly
133 "poly"
134 (let* ((t1 (make-term (make-monom :initial-exponents '(1 2 3)) 7))
135 (t2 (make-term (make-monom :initial-exponents '(3 5 2)) 9))
136 (t11 (make-term (make-monom :initial-exponents '(2 4 6)) 49))
137 (t12 (make-term (make-monom :initial-exponents '(4 7 5)) 126))
138 (t22 (make-term (make-monom :initial-exponents '(6 10 4)) 81))
139 (p (make-poly-from-termlist (list t2 t1)))
140 (p-sq (make-poly-from-termlist (list t22 t12 t11)))
141 (ring-and-order (make-ring-and-order))
142 (q (poly-expt ring-and-order p 2)))
143 (is-true (equalp q p-sq))))
144
145
146(test coerce-to-infix
147 "Conversion to infix form"
148 (is (equal
149 (coerce-to-infix :term (make-term-variable *ring-of-integers* 5 3) '(x y z w u v))
150 '(* 1 (EXPT X 0) (EXPT Y 0) (EXPT Z 0) (EXPT W 1) (EXPT U 0)))))
151
152(test priority-queue
153 "Priority queue"
154 (let ((q (make-priority-queue)))
155 (priority-queue-insert q 7)
156 (priority-queue-insert q 8)
157 (is (= (priority-queue-size q) 3) "Note that there is always a dummy element in the queue.")
158 (is (equalp (priority-queue-heap q) #(0 7 8)))
159 (is (= (priority-queue-remove q) 7))
160 (is (= (priority-queue-remove q) 8))
161 (is-true (priority-queue-empty-p q))
162 (signals
163 (error "Empty queue.")
164 (priority-queue-remove q))))
165
166;;
167;; Currently parser cannot be tested, as it relies on many maxima functions
168;; to parse a polynomial expression.
169;;
170#|
171(test parser
172 "Parser"
173 (let (($f '((MLIST SIMP) ((MPLUS SIMP) $X ((MTIMES SIMP) -1 $Y)) ((MPLUS SIMP) $X $Y)))
174 ($v '((MLIST SIMP) $X $Y)))
175 (is-true (parse-poly-list $f $v))))
176|#
177
178(test infix-print
179 "Infix printer"
180 (is (string= (infix-print '(+ x y) nil) "X+Y"))
181 (is (string= (infix-print '(expt x 3) nil) "X^3"))
182 (is (string= (infix-print '(+ 1 (expt x 3)) nil) "1+(X^3)"))
183 (is (string= (infix-print '(* x y) nil) "X*Y"))
184 (is (string= (infix-print '(* x (expt y 2)) nil) "X*(Y^2)")))
185
186(test infix
187 "Infix parser"
188 (is (equal '#I( x^2 + y^2 ) '(+ (expt x 2) (expt y 2))))
189 (is (equal '#I( [ x, y ] ) '(:[ X Y)))
190 (is (equal '#I( x + y) '(+ x y)))
191 (is (equal '#I( x^3 ) '(expt x 3)))
192 (is (equal '#I( 1 + x^3) '(+ 1 (expt x 3))))
193 (is (equal '#I( x * y^2 ) '(* x (expt y 2)))))
194
195(test poly-reader
196 "Polynomial reader"
197 (is (equalp (with-input-from-string (s "X^2-Y^2+(-4/3)*U^2*W^3-5")
198 (read-infix-form :stream s))
199 '(+ (- (EXPT X 2) (EXPT Y 2)) (* (- (/ 4 3)) (EXPT U 2) (EXPT W 3)) (- 5))))
200 (let ((p (make-poly-from-termlist (list (make-term (make-monom :initial-exponents '(2 0)) 1)
201 (make-term (make-monom :initial-exponents '(0 2)) 2)))))
202 (is (equalp (with-input-from-string (s "x^2+2*y^2") (read-poly '(x y) :stream s)) p))
203 (is (equalp (read-poly-from-string "x^2+2*y^2" '(x y))) p)))
204
205(run! 'ngrobner-suite)
206(format t "All tests done!~%")
207
208
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