[2637] | 1 | ;;; -*- Mode: Lisp -*-
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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 | (require :ring "ring")
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| 41 | (require :monom "monom")
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| 42 | (require :term "term")
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| 43 | (require :order "order")
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| 44 | (require :polynomial "polynomial")
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| 45 |
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| 46 | (defpackage #:5am-poly
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| 47 | (:use :cl :it.bese.fiveam :ring :monom :term :order :polynomial))
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| 48 |
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| 49 | (in-package :5am-poly)
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| 50 |
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| 51 | (def-suite monom-suite
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| 52 | :description "Monom package suite")
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| 53 |
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| 54 | (in-suite monom-suite)
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| 55 |
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| 56 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 57 | ;;
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| 58 | ;; MONOM class tests
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| 59 | ;;
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| 60 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 61 |
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| 62 | (def-fixture monom-context ()
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| 63 | (let ((z (make-instance 'monom :dimension 3))
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| 64 | (m (make-instance 'monom :dimension 3 :exponents '(1 2 3)))
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| 65 | (n (make-instance 'monom :dimension 3 :exponents '(4 5 6)))
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| 66 | (m*n (make-instance 'monom :dimension 3 :exponents '(5 7 9)))
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| 67 | (n/m (make-instance 'monom :dimension 3 :exponents '(3 3 3)))
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| 68 | (m-tensor-n (make-instance 'monom :exponents '(1 2 3 4 5 6))))
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| 69 | (&body)))
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| 70 |
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| 71 | (test monom-basics
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| 72 | "Monom basics"
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| 73 | (with-fixture monom-context ()
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| 74 | (is (= (r-dimension m) 3))
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| 75 | (is (= (r-elt m 2) 3))
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| 76 | (is (= (r-total-degree m) 6))
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| 77 | (is (= (r-sugar m) 6))
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| 78 | (is (equalp (r->list z) '(0 0 0)) "Trivial monomial is a vector of 0's")
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| 79 | (is (r-equalp (r* m n) m*n))
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| 80 | (is (r-equalp (r/ n m) n/m))
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| 81 | (is (r-equalp (r-tensor-product m n) m-tensor-n))
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| 82 | (signals
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| 83 | (error "EXPONENTS must have length DIMENSION")
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| 84 | (make-instance 'monom :dimension 3 :exponents '(1 2 3 4 5 6)))
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| 85 | (is-true (r-divides-p m n))
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| 86 | (is-false (r-divides-p n m))
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| 87 | (is (r-equalp (r-gcd m n) m))
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| 88 | (is (r-equalp (r-lcm m n) n))
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| 89 | (is-true (r-depends-p m 0))
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| 90 | (signals
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| 91 | (error "Index out of bounds")
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| 92 | (r-depends-p m 3))))
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| 93 |
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| 94 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 95 | ;;
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| 96 | ;; TERM class tests
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| 97 | ;;
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| 98 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 99 |
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| 100 | (def-fixture term-context ()
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| 101 | (let ((z (make-instance 'term :dimension 3 :coeff 5))
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| 102 | (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
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| 103 | (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
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| 104 | (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
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| 105 | (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
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| 106 | (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72)))
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| 107 | (&body)))
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| 108 |
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| 109 | (test term-basics
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| 110 | "Term basics"
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| 111 | (with-fixture term-context ()
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| 112 | (is (= (r-dimension m) 3))
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| 113 | (is (= (r-elt m 2) 3))
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| 114 | (is (= (r-total-degree m) 6))
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| 115 | (is (= (r-sugar m) 6))
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| 116 | (is (equalp (r->list z) '(0 0 0)) "Trivial term is a vector of 0's")
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| 117 | (is (r-equalp (r* m n) m*n))
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| 118 | (is (r-equalp (r/ n m) n/m))
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| 119 | (is (r-equalp (r-tensor-product m n) m-tensor-n))
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| 120 | (signals
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| 121 | (error "EXPONENTS must have length DIMENSION")
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| 122 | (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
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| 123 | (is-true (r-divides-p m n))
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| 124 | (is-false (r-divides-p n m))
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| 125 | (is (r-equalp (r-gcd m n) m))
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| 126 | (is (r-equalp (r-lcm m n) n))
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| 127 | (is-true (r-depends-p m 0))
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| 128 | (signals
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| 129 | (error "Index out of bounds")
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| 130 | (r-depends-p m 3))
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| 131 | )
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| 132 |
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| 133 | )
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| 134 |
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| 135 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 136 | ;;
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| 137 | ;; Order generics (LEX>, GRLEX>,...) tests
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| 138 | ;;
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| 139 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 140 |
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| 141 |
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| 142 | (def-fixture order-context ()
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| 143 | (let ((p (make-instance 'monom :exponents '(1 3 2)))
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| 144 | (q (make-instance 'monom :exponents '(1 2 3))))
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| 145 | (&body)))
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| 146 |
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| 147 | (test order
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| 148 | "order"
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| 149 | (with-fixture order-context ()
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| 150 | (is-true (lex> p q))
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| 151 | (is-true (grlex> p q))
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| 152 | (is-true (revlex> p q))
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| 153 | (is-true (grevlex> p q))
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| 154 | (is-false (invlex> p q))))
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| 155 |
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| 156 | (def-fixture elim-order-context ()
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| 157 | (let* ((p (make-instance 'monom :exponents '(1 2 3)))
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| 158 | (q (make-instance 'monom :exponents '(4 5 6)))
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| 159 | (elim-order-factory (make-elimination-order-factory))
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| 160 | (elim-order-1 (funcall elim-order-factory 1))
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| 161 | (elim-order-2 (funcall elim-order-factory 2)))
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| 162 | (&body)))
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| 163 |
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| 164 |
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| 165 | (test elim-order
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| 166 | "Elimination order"
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| 167 | (with-fixture elim-order-context ()
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| 168 | (is-false (funcall elim-order-1 p q))
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| 169 | (is-false (funcall elim-order-2 p q))))
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| 170 |
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| 171 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 172 | ;;
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| 173 | ;; POLY class tests
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| 174 | ;;
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| 175 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 176 |
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| 177 | (def-fixture poly-context ()
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| 178 | (let ((p (make-instance 'poly))
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| 179 | (q (make-instance 'poly :order #'grlex>)))
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| 180 | (dolist (x '( (2 . 22) (4 . 44) (5 . 55) ))
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| 181 | (insert-item p (make-instance 'term :exponents (list (car x)) :coeff (cdr x))))
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| 182 | (dolist (x '( (0 . 11) (3 . 33) (4 . -44) (7 . 77) ))
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| 183 | (insert-item q (make-instance 'term :exponents (list (car x)) :coeff (cdr x))))
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| 184 | (&body)))
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| 185 |
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| 186 |
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| 187 | (test poly-add
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| 188 | "Polynomial addition"
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| 189 | (with-fixture poly-context ()
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| 190 | (print p)(print q)
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| 191 | (print (add-to p q))
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| 192 | (print p)(print q)
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| 193 | ))
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| 194 |
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| 195 | (test poly-subtract
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| 196 | "Polynomial subtraction"
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| 197 | (with-fixture poly-context ()
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| 198 | (print p)(print q)
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| 199 | (print (subtract-from p q))
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| 200 | (print p)(print q)
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| 201 | ))
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| 202 |
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| 203 | (run! 'monom-suite)
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| 204 | (format t "All tests done!~%")
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| 205 |
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| 206 |
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