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 | ;; Create the main Groebner Basis package.
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25 | ;;
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26 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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27 |
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28 | (defpackage "NGROBNER"
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29 | (:use :cl :ring :monomial :order :term :infix :infix-printer :polynomial :grobner-debug
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30 | :division :buchberger :gebauer-moeller :gb-postprocessing :ideal
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31 | :utils :grobner-wrap)
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32 | (:export
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33 | ;;
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34 | ;; Global symbols/switches usable at Maxima interpreter level
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35 | ;;
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36 | "$LEX" "$GRLEX" "$GREVLEX" "$INVLEX" ;names of monomial orders
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37 | "$RING_OF_INTEGERS" ;name of ring of integers
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38 | "$POLY_ELIMINATION_ORDER" "$POLY_MONOMIAL_ORDER"
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39 | "$POLY_MONOMIAL_ORDER" "$POLY_PRIMARY_ELIMINATION_ORDER"
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40 | "$POLY_PRIMARY_ELIMINATION_ORDER"
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41 | "$POLY_SECONDARY_ELIMINATION_ORDER"
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42 | "$POLY_RETURN_TERM_LIST"
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43 | "$POLY_COEFFICIENT_RING"
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44 | "$POLY_GROBNER_DEBUG" ;debugging switch
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45 | ;;
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46 | ;; Global variables
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47 | ;;
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48 | "*EXPRESSION-RING*"
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49 | "*ELIMINATION-ORDER*"
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50 | "*MONOMIAL-ORDER*"
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51 | "*PRIMARY-ELIMINATION-ORDER*"
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52 | "*SECONDARY-ELIMINATION-ORDER*"
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53 | "*RATDISREP-FUN*"
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54 | ;;
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55 | ;; Polynomial ring operations
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56 | ;; Note that some require Groebner basis.
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57 | ;;
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58 | "POLY-ADD" "POLY-SUB" "POLY-UMINUS"
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59 | "POLY-MUL" "POLY-EXPT"
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60 | "POLY-ZEROP" "POLY-LM" "POLY-LT"
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61 | "POLY-PSEUDO-DIVIDE"
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62 | "POLY-NORMALIZE" "POLY-NORMALIZE-LIST"
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63 | ;;
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64 | ;; High-level Groebner Basis related functions
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65 | ;;
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66 | "FIND-ORDER" "FIND-RING"
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67 | "NORMAL-FORM"
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68 | "POLY-EXACT-DIVIDE"
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69 | "COLON-IDEAL" "ELIMINATION-IDEAL"
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70 | "GROBNER"
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71 | "REDUCED-GROBNER"
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72 | "MINIMIZATION" "REDUCTION"
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73 | "POLY-LCM"
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74 | "GROBNER-EQUAL" "GROBNER-MEMBER" "GROBNER-SUBSETP"
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75 | "IDEAL-INTERSECTION" "IDEAL-POLYSATURATION"
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76 | "IDEAL-POLYSATURATION-1" "IDEAL-SATURATION" "IDEAL-SATURATION-1"
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77 | "BUCHBERGER" "BUCHBERGER-CRITERION"
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78 | ;;
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79 | ;; Low-level functions
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80 | ;;
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81 | "COERCE-COEFF" "COERCE-TO-INFIX" "MAKE-POLY-FROM-TERMLIST" "MAKE-POLY-ZERO"
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82 | "MAKE-RING" "MAKE-TERM" "MAKE-VARIABLE" "MONOM-EXPONENTS"
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83 | "POLY-CONTENT" "POLY-DEPENDS-P" "POLY-PRIMITIVE-PART"
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84 | "POLYSATURATION-EXTENSION" "POLY-TERMLIST" "RING-UNIT"
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85 | "SATURATION-EXTENSION" "SPOLY" "$POLY_ELIMINATION_ORDER" "TERM-COEFF"
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86 | "TERM-MONOM" "MAKELIST-1" "MAKELIST" "MAKE-MONOM" "LEX>" "GRLEX>"
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87 | "GREVLEX>" "REVLEX>" "INVLEX>" "ELIMINATION-ORDER"
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88 | "ELIMINATION-ORDER-1" "*PRIMARY-ELIMINATION-ORDER*"
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89 | "*SECONDARY-ELIMINATION-ORDER*" "*ELIMINATION-ORDER*"
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90 | "INFIX-PRINT"
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91 | ))
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