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 | ;; Selection of algorithm and pair heuristic
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25 | ;;
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26 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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27 |
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28 | (defpackage "GROBNER-WRAP"
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29 | (:use :cl :buchberger :gebauer-moeller :gb-postprocessing :division :ring-and-order)
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30 | (:export "$POLY_GROBNER_ALGORITHM" "GROBNER" "REDUCED-GROBNER"))
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31 |
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32 | (in-package :grobner-wrap)
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33 |
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34 | (defvar $poly_grobner_algorithm '$buchberger
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35 | "The name of the algorithm used to find grobner bases.")
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36 |
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37 | (defun find-grobner-function (algorithm)
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38 | "Return a function which calculates Grobner basis, based on its
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39 | names. Names currently used are either Lisp symbols, Maxima symbols or
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40 | keywords."
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41 | (ecase algorithm
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42 | ((buchberger :buchberger $buchberger)
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43 | #'buchberger)
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44 | ((parallel-buchberger :parallel-buchberger $parallel_buchberger)
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45 | #'parallel-buchberger)
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46 | ((gebauer-moeller :gebauer_moeller $gebauer_moeller)
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47 | #'gebauer-moeller)))
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48 |
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49 | (defun grobner (ring-and-order f
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50 | &optional
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51 | (start 0)
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52 | (top-reduction-only nil))
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53 | "Compute the Groebner basis of an ideal generated by F. Optionally,
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54 | assume that first START elements are already a grobner basis.
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55 | If TOP-REDUCTION-ONLY is T then perform top reduction only."
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56 | (declare (type ring-and-order ring-and-order))
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57 | ;;(setf F (sort F #'< :key #'sugar))
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58 | (funcall
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59 | (find-grobner-function $poly_grobner_algorithm)
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60 | ring-and-order f start top-reduction-only))
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61 |
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62 | (defun reduced-grobner (ring-and-order f &optional (start 0) (top-reduction-only $poly_top_reduction_only))
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63 | (declare (type ring-and-order ring-and-order))
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64 | (reduction ring-and-order (minimization (grobner ring-and-order f start top-reduction-only))))
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