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source: branches/f4grobner/5am-poly.lisp@ 3411

Last change on this file since 3411 was 3379, 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 :utils "utils")
41(require :ring "ring")
42(require :monom "monom")
43(require :term "term")
44(require :order "order")
45(require :polynomial "polynomial")
46
47(defpackage #:5am-poly
48 (:use :cl :it.bese.fiveam :ring :monom :term :order :polynomial))
49
50(in-package :5am-poly)
51
52(def-suite poly-suite
53 :description "Polynomial package suite")
54
55(in-suite poly-suite)
56
57;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
58;;
59;; POLY class tests
60;;
61;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
62
63(def-fixture poly-add-context ()
64 (let ((p (make-instance 'poly))
65 (q (make-instance 'poly :order nil))
66 (p+q (make-instance 'poly))
67 (p-q (make-instance 'poly))
68 (p-uminus (make-instance 'poly)))
69 ;; Populate the polynomials; the lists of (exponents . coefficient) pairs
70 ;; must be in increasing order in Q, but Q is unordered (:ORDER NIL)
71 ;; so it will be automatically sorted.
72 (dolist (x '( ((2) . 22) ((4) . 44) ((5) . 55) ((8) . 88) ((9) . 99) ))
73 (insert-item p (make-instance 'term :exponents (car x) :coeff (cdr x))))
74 (dolist (x '( ((9) . 90) ((0) . 11) ((2) . 20) ((3) . 33) ((4) . -44) ((7) . 77) ((8) . 88) ))
75 (insert-item q (make-instance 'term :exponents (car x) :coeff (cdr x))))
76 ;; P+Q
77 (dolist (x '(((0) . 11) ((2) . 42) ((3) . 33) ((5) . 55) ((7) . 77) ((8) . 176) ((9) . 189) ))
78 (insert-item p+q (make-instance 'term :exponents (car x) :coeff (cdr x))))
79 ;; P-Q
80 (dolist (x '(((0) . -11) ((2) . 2) ((3) . -33) ((4) . 88) ((5) . 55) ((7) . -77) ((9) . 9)))
81 (insert-item p-q (make-instance 'term :exponents (car x) :coeff (cdr x))))
82 ;; -P
83 (dolist (x '( ((2) . -22) ((4) . -44) ((5) . -55) ((8) . -88) ((9) . -99) ))
84 (insert-item p-uminus (make-instance 'term :exponents (car x) :coeff (cdr x))))
85 ;;(print p) (print q) (print p+q) (print p-q)
86 (&body)))
87
88(test poly-add
89 "Polynomial addition"
90 (with-fixture poly-add-context () (is (r-equalp (add-to p q) p+q)))
91 (with-fixture poly-add-context () (is (r-equalp (r+ p q) p+q)))
92 (with-fixture poly-add-context () (is (r-equalp (subtract-from p q) p-q)))
93 (with-fixture poly-add-context () (is (r-equalp (r- p q) p-q)))
94 (with-fixture poly-add-context () (is (r-equalp (unary-minus p) p-uminus)))
95 )
96
97(def-fixture poly-multiply-context ()
98 (let ((p (make-instance 'poly))
99 (q (make-instance 'poly :order nil))
100 (p*q (make-instance 'poly)))
101 ;; Populate the polynomials; the lists of (exponents . coefficient) pairs
102 ;; must be in increasing order in Q, but Q is unordered (:ORDER NIL)
103 ;; so it will be automatically sorted.
104 (dolist (x '( ((0) . 1) ((1) . 2) ))
105 (insert-item p (make-instance 'term :exponents (car x) :coeff (cdr x))))
106 (dolist (x '( ((0) . 1) ((1) . 3) ))
107 (insert-item q (make-instance 'term :exponents (car x) :coeff (cdr x))))
108 ;; P*Q
109 (dolist (x '( ((0) . 1) ((1) . 5) ((2) . 6)))
110 (insert-item p*q (make-instance 'term :exponents (car x) :coeff (cdr x))))
111 (&body)))
112
113
114(test poly-multiply
115 "Polynomial multiplication"
116 (with-fixture poly-multiply-context () (is (r-equalp (r* p q) p*q)))
117 )
118
119(test poly-standard-extension
120 "Standard extension"
121 (let* ((p (alist->poly '( ((0) . 1) ((1) . 2))))
122 (q (alist->poly '( ((0) . 1) ((2) . 3))))
123 (plist (list p q))
124 (p-ext (alist->poly '( ((1 0 0) . 1) ((1 0 1) . 2))))
125 (q-ext (alist->poly '( ((0 1 0) . 1) ((0 1 2) . 3))))
126 (plist-st-ext (list p-ext q-ext)))
127 (is (r-equalp (standard-extension plist) plist-st-ext))))
128
129(test poly-standard-extension-1
130 "Standard extension 1"
131 (let* ((p (alist->poly '( ((0) . 1) ((1) . 2))))
132 (q (alist->poly '( ((0) . 1) ((2) . 3))))
133 (plist (list p q))
134 (p-ext (alist->poly '( ((0 0 0) . -1) ((1 0 0) . 1) ((1 0 1) . 2))))
135 (q-ext (alist->poly '( ((0 0 0) . -1) ((0 1 0) . 1) ((0 1 2) . 3))))
136 (plist-st-ext (list p-ext q-ext)))
137 (is (r-equalp (standard-extension-1 plist) plist-st-ext))))
138
139(test poly-standard-sum
140 "Standard sum"
141 (let* ((p (alist->poly '( ((0) . 1) ((1) . 2))))
142 (q (alist->poly '( ((0) . 1) ((2) . 3))))
143 (plist (list p q))
144 (std-sum (alist->poly '(((0 0 0) . -1) ((0 1 0) . 1) ((0 1 2) . 3)
145 ((1 0 0) . 1) ((1 0 1) . 2)))))
146 (is (r-equalp (standard-sum plist) std-sum))))
147
148(run! 'poly-suite)
149(format t "All tests done!~%")
150
151
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