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