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 | (in-package "RING")
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23 |
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24 | (defclass rational-field (field)
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25 | ((value :initarg :value :initform 0 :accessor rational-field-value :type rational))
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26 | (:documentation "An object representing an integer.")
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27 | )
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28 |
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29 | (defmethod print-object ((self rational-field) stream)
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30 | (print-unreadable-object (self stream :type t :identity t)
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31 | (with-accessors ((value rational-field-value))
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32 | self
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33 | (format stream "VALUE=~A" value))))
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34 |
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35 | (defmethod multiply-by ((self rational-field) (other rational-field))
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36 | (with-slots (value)
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37 | self
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38 | (with-slots ((other-value value))
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39 | other
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40 | (setf value (* value other-value))))
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41 | self)
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42 |
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43 | (defmethod divide-by ((self rational-field) (other rational-field))
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44 | (with-slots (value)
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45 | self
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46 | (with-slots ((other-value value))
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47 | other
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48 | (setf value (/ value other-value))))
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49 | self)
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50 |
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51 | (defmethod add-to ((self rational-field) (other rational-field))
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52 | (with-slots (value)
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53 | self
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54 | (with-slots ((other-value value))
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55 | other
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56 | (setf value (+ value other-value))))
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57 | self)
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58 |
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59 | (defmethod subtract-from ((self rational-field) (other rational-field))
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60 | (with-slots (value)
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61 | self
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62 | (with-slots ((other-value value))
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63 | other
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64 | (setf value (- value other-value))))
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65 | self)
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66 |
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67 | (defmethod unary-minus ((self rational-field))
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68 | (with-slots (value)
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69 | self
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70 | (setf value (- value)))
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71 | self)
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72 |
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73 | (defmethod unary-inverse ((self rational-field))
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74 | (with-slots (value)
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75 | self
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76 | (setf value (/ value)))
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77 | self)
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78 |
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79 | (defmethod universal-zerop ((self rational-field))
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80 | (with-slots (value)
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81 | self
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82 | (zerop value)))
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83 |
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84 | (defmethod universal-equalp ((self rational-field) (other rational-field))
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85 | (with-slots (value)
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86 | self
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87 | (with-slots ((other-value value))
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88 | other
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89 | (= value other-value))))
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90 |
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91 | (defmethod ->sexp ((self rational-field) &optional vars)
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92 | (declare (ignore vars))
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93 | (rational-field-value self))
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94 |
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95 | (defparameter *rational-field-zero* (make-instance 'rational-field :value 0))
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96 | (defparameter *rational-field-unit* (make-instance 'rational-field :value 1))
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97 |
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98 | (defmethod make-zero-for ((object rational-field))
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99 | (copy-instance *rational-field-zero*))
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100 |
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101 | (defmethod make-unit-for ((object rational-field))
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102 | (copy-instance *rational-field-unit*))
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103 |
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104 | (defmethod universal-ezgcd ((object rational-field) (other rational-field))
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105 | (values (copy-instance *rational-field-unit*)
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106 | (copy-instance object)
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107 | (copy-instance other)))
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