1 | ;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*-
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2 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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3 | ;;;
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4 | ;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
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5 | ;;;
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6 | ;;; This program is free software; you can redistribute it and/or modify
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7 | ;;; it under the terms of the GNU General Public License as published by
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8 | ;;; the Free Software Foundation; either version 2 of the License, or
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9 | ;;; (at your option) any later version.
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10 | ;;;
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11 | ;;; This program is distributed in the hope that it will be useful,
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12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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14 | ;;; GNU General Public License for more details.
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15 | ;;;
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16 | ;;; You should have received a copy of the GNU General Public License
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17 | ;;; along with this program; if not, write to the Free Software
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18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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19 | ;;;
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20 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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21 |
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22 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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23 | ;;
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24 | ;; Run tests using 5am unit testing framework
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25 | ;;
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26 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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27 |
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28 | ;; We assume that QuickLisp package manager is installed.
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29 | ;; See :
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30 | ;; https://www.quicklisp.org/beta/
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31 | ;;
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32 |
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33 | ;; The following is unnecessary after running:
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34 | ;; * (ql:add-to-init-file)
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35 | ;; at lisp prompt:
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36 | ;;(load "~/quicklisp/setup")
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37 |
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38 | (ql:quickload :fiveam)
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39 |
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40 | (load "ngrobner.asd")
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41 | (asdf:load-system :ngrobner)
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42 |
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43 | (defpackage #:ngrobner-tests
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44 | (:use :cl :it.bese.fiveam
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45 | :ngrobner :priority-queue :monomial
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46 | :utils :order :ring :term
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47 | :priority-queue
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48 | )
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49 | )
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50 |
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51 | (in-package #:ngrobner-tests)
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52 |
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53 | (def-suite ngrobner-suite
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54 | :description "New Groebner Package Suite")
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55 |
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56 | (in-suite ngrobner-suite)
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57 |
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58 | #+nil
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59 | (test dummy-test
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60 | "Makelist"
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61 | (is (= (+ 2 2)) "2 plus 2 wasn't equal to 4 (using #'= to test equality)")
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62 | (is (= 0 (+ -1 1)))
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63 | (signals
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64 | (error "Trying to add 4 to FOO didn't signal an error")
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65 | (+ 'foo 4))
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66 | (is (= 0 (+ 1 1)) "this should have failed"))
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67 |
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68 | (test makelist-1
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69 | "makelist-1 test"
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70 | (is (equal (makelist-1 (* 2 i) i 0 10) '(0 2 4 6 8 10 12 14 16 18 20)))
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71 | (is (equal (makelist-1 (* 2 i) i 0 10 3) '(0 6 12 18))))
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72 |
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73 | (test makelist
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74 | "makelist"
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75 | (is (equal (makelist (+ (* i i) (* j j)) (i 1 4) (j 1 i)) '(2 5 8 10 13 18 17 20 25 32)))
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76 | (is (equal (makelist (list i j '---> (+ (* i i) (* j j))) (i 1 4) (j 1 i))
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77 | '((1 1 ---> 2) (2 1 ---> 5) (2 2 ---> 8) (3 1 ---> 10) (3 2 ---> 13)
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78 | (3 3 ---> 18) (4 1 ---> 17) (4 2 ---> 20) (4 3 ---> 25) (4 4 ---> 32)))))
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79 |
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80 | (test monom
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81 | "monom"
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82 | (is (equalp (make-monom 3) #(0 0 0)) "Trivial monomial is a vector of 0's")
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83 | (is (equalp (make-monom 3 :initial-contents '(1 2 3)) #(1 2 3)) "Monomial with powers 1,2,3"))
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84 |
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85 | (test order
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86 | "order"
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87 | (let ((p (make-monom 3 :initial-contents '(1 3 2)))
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88 | (q (make-monom 3 :initial-contents '(1 2 3))))
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89 | (is-true (lex> p q))
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90 | (is-true (grlex> p q))
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91 | (is-true (revlex> p q))
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92 | (is-true (grevlex> p q))
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93 | (is-false (invlex> p q)))
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94 | (let ((p (make-monom 3 :initial-contents '(1 2 3)))
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95 | (q (make-monom 3 :initial-contents '(4 5 6))))
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96 | (is-false (elimination-order-1 p q))
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97 | (is-false (funcall (elimination-order 2) p q))))
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98 |
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99 | (test term
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100 | "term"
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101 | (let* ((m1 (make-monom 3 :initial-contents '(1 2 3)))
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102 | (m2 (make-monom 3 :initial-contents '(3 5 2)))
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103 | (m3 (monom-mul m1 m2))
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104 | (t1 (make-term m1 7))
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105 | (t2 (make-term m2 9))
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106 | (t3 (make-term m3 (* 7 9))))
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107 | (is (equalp (term-mul *ring-of-integers* t1 t2) t3))))
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108 |
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109 | (test coerce-to-infix
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110 | "Conversion to infix form"
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111 | (is (equal
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112 | (coerce-to-infix :term (make-term-variable *ring-of-integers* 5 3) '(x y z w u v))
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113 | '(* 1 (EXPT X 0) (EXPT Y 0) (EXPT Z 0) (EXPT W 1) (EXPT U 0)))))
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114 |
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115 | (test priority-queue
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116 | "Priority queue"
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117 | (let ((q (make-priority-queue)))
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118 | (priority-queue-insert q 7)
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119 | (priority-queue-insert q 8)
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120 | (is (= (priority-queue-size q) 3) "Note that there is always a dummy element in the queue.")
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121 | (is (equalp (priority-queue-heap q) #(0 7 8)))
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122 | (is (= (priority-queue-remove q) 7))
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123 | (is (= (priority-queue-remove q) 8))
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124 | (is-true (priority-queue-empty-p q))
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125 | (signals
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126 | (error "Empty queue.")
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127 | (priority-queue-remove q))))
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128 |
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129 | ;;
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130 | ;; Currently parser cannot be tested, as it relies on many maxima functions
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131 | ;; to parse a polynomial expression.
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132 | ;;
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133 | #|
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134 | (test parser
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135 | "Parser"
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136 | (let (($f '((MLIST SIMP) ((MPLUS SIMP) $X ((MTIMES SIMP) -1 $Y)) ((MPLUS SIMP) $X $Y)))
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137 | ($v '((MLIST SIMP) $X $Y)))
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138 | (is-true (parse-poly-list $f $v))))
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139 | |#
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140 |
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141 |
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142 | (run! 'ngrobner-suite)
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143 | (format t "All tests done!~%")
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144 |
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145 |
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