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 |
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45 | (defpackage #:5am-monom
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46 | (:use :cl :it.bese.fiveam :ring :monom :term :order)
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47 | (:documentation "Monom and derived classes tests"))
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48 |
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49 | (in-package :5am-monom)
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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 | ;; Use SYMBOL-MACROLET not let to avoid 'unused variable' complaints
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64 | (symbol-macrolet
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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 (make-instance 'monom :dimension 3)) '(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 | (with-fixture monom-context ()
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96 | (is (r-equalp (multiply-by m n) m*n)))
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97 | (with-fixture monom-context ()
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98 | (is (r-equalp (divide-by n m) n/m))))
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99 |
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100 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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101 | ;;
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102 | ;; TERM class tests
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103 | ;;
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104 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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105 |
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106 | (def-fixture term-context ()
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107 | (symbol-macrolet
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108 | ((z (make-instance 'term :dimension 3 :coeff 5))
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109 | (m (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff 6))
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110 | (n (make-instance 'term :dimension 3 :exponents '(4 5 6) :coeff 12))
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111 | (m*n (make-instance 'term :dimension 3 :exponents '(5 7 9) :coeff 72))
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112 | (n/m (make-instance 'term :dimension 3 :exponents '(3 3 3) :coeff 2))
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113 | (m-tensor-n (make-instance 'term :exponents '(1 2 3 4 5 6) :coeff 72))
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114 | (m-uminus (make-instance 'term :dimension 3 :exponents '(1 2 3) :coeff -6)))
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115 | (&body)))
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116 |
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117 | (test term-basics
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118 | "Term basics"
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119 | (with-fixture term-context ()
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120 | (is (= (r-dimension m) 3))
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121 | (is (= (r-elt m 2) 3))
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122 | (is (= (r-total-degree m) 6))
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123 | (is (= (r-sugar m) 6))
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124 | (is (equalp (r->list z) '(0 0 0)) "Trivial term is a vector of 0's")
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125 | (is (r-equalp (r* m n) m*n))
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126 | (is (r-equalp (r/ n m) n/m))
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127 | (is (r-equalp (r-tensor-product m n) m-tensor-n))
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128 | (signals
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129 | (error "EXPONENTS must have length DIMENSION")
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130 | (make-instance 'term :dimension 3 :exponents '(1 2 3 4 5 6) :coeff 77))
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131 | (is-true (r-divides-p m n))
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132 | (is-false (r-divides-p n m))
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133 | (is (r-equalp (r-gcd m n) m))
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134 | (is (r-equalp (r-lcm m n) n))
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135 | (is-true (r-depends-p m 0))
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136 | (signals
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137 | (error "Index out of bounds")
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138 | (r-depends-p m 3))
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139 | )
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140 | (with-fixture term-context ()
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141 | (is (r-equalp (multiply-by m n) m*n)))
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142 | (with-fixture term-context ()
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143 | (is (r-equalp (divide-by n m) n/m)))
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144 | (with-fixture term-context ()
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145 | (is (r-equalp (unary-minus m) m-uminus))))
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146 |
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147 |
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148 | (def-fixture monom/term-conversion-context ()
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149 | (symbol-macrolet
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150 | ((term (make-instance 'term :exponents '(1 2 3) :coeff 4))
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151 | (monom (make-instance 'term :exponents '(1 2 3)))
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152 | (promoted-monom (make-instance 'term :exponents '(1 2 3) :coeff 1)))
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153 | (&body)))
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154 |
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155 | (test monom/term-conversion
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156 | "Monom/term conversion"
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157 | (with-fixture monom-term-conversion-context ()
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158 | (is (monom-equalp (change-class term 'monom) monom))
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159 | (is (r-equalp (change-class monom 'term) promoted-monom)))
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160 | (with-fixture monom-term-conversion-context ()
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161 | (is (r-equalp (r-clone term) term))))
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162 |
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163 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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164 | ;;
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165 | ;; Order generics (LEX>, GRLEX>,...) tests
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166 | ;;
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167 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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168 |
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169 |
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170 | (def-fixture order-context ()
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171 | (symbol-macrolet
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172 | ((p (make-instance 'monom :exponents '(1 3 2)))
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173 | (q (make-instance 'monom :exponents '(1 2 3))))
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174 | (&body)))
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175 |
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176 | (test order
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177 | "order"
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178 | (with-fixture order-context ()
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179 | (is-true (lex> p q))
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180 | (is-true (grlex> p q))
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181 | (is-true (revlex> p q))
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182 | (is-true (grevlex> p q))
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183 | (is-false (invlex> p q))))
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184 |
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185 | (def-fixture elim-order-context ()
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186 | (let* ((p (make-instance 'monom :exponents '(1 2 3)))
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187 | (q (make-instance 'monom :exponents '(4 5 6)))
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188 | (elim-order-factory (make-elimination-order-factory))
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189 | (elim-order-1 (funcall elim-order-factory 1))
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190 | (elim-order-2 (funcall elim-order-factory 2)))
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191 | (&body)))
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192 |
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193 |
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194 | (test elim-order
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195 | "Elimination order"
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196 | (with-fixture elim-order-context ()
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197 | (is-false (funcall elim-order-1 p q))
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198 | (is-false (funcall elim-order-2 p q))))
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199 |
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200 | (run! 'monom-suite)
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201 | (format t "All tests done!~%")
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202 |
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203 |
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