| 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 | ;; Unless NGROBNER system loaded by ASDF,
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| 41 | ;; load the dependencies directly
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| 42 | #-ngrobner
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| 43 | (progn
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| 44 | (require :utils "utils")
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| 45 | (require :copy "copy")
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| 46 | (require :monom "monom")
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| 47 | (require :polynomial "polynomial")
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| 48 | (require :infix "infix")
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| 49 | (require :symbolic-polynomial "symbolic-polynomial")
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| 50 | (require :division "division")
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| 51 | (require :priority-queue "priority-queue")
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| 52 | (require :pair-queue "pair-queue")
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| 53 | (require :buchberger "buchberger"))
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| 54 |
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| 55 | (defpackage #:5am-buchberger
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| 56 | (:use :cl :it.bese.fiveam :monom :polynomial :infix :symbolic-polynomial :division :priority-queue :buchberger :grobner-debug))
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| 57 |
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| 58 | (in-package :5am-buchberger)
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| 59 |
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| 60 | (def-suite buchberger-suite
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| 61 | :description "Buchberger algorithm suite")
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| 62 |
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| 63 | (in-suite buchberger-suite)
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| 64 |
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| 65 | #+nil
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| 66 | (setf $poly_grobner_debug t
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| 67 | $poly_top_reduction_only nil)
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| 68 |
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| 69 | (def-fixture buchberger-context ()
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| 70 | (let ((fl (cdr (string->poly "[x+y,x-2*y]" '(x y))))
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| 71 | (gb (cdr (string->poly "[x+y,x-2*y,y]" '(x y)))))
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| 72 | (&body)))
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| 73 |
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| 74 |
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| 75 | (test buchberger
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| 76 | "Buchberger algorithm"
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| 77 | (with-fixture buchberger-context ()
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| 78 | (is-true (grobner-test gb fl))
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| 79 | (is (every #'universal-equalp (buchberger fl) gb))
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| 80 | (is (every #'universal-equalp (parallel-buchberger fl) gb))
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| 81 | )
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| 82 | )
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| 83 |
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| 84 | ;; poly_grobner([x-3*u-3*u*v^2+u^3,y-3*v-3*u^2*v+v^3,z-3*u^2+3*v^2],[u,v,x,y,z]);
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| 85 | (def-fixture buchberger-advanced-context ()
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| 86 | (let ((fl (cdr (string->poly "[x-3*u-3*u*v^2+u^3,y-3*v-3*u^2*v+v^3,z-3*u^2+3*v^2]" '(u v x y z))))
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| 87 | (gb (cdr (string->poly "[x-3*u*v^2+u^3-3*u,y+v^3-3*u^2*v-3*v,z+3*v^2-3*u^2,
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| 88 | (-u*z)-3*x+6*u*v^2+9*u,(-v*z)+y-2*v^3-3*v,z^2+6*v^2*z-9*z-9*v*y+9*u*x,
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| 89 | 4*u*v*z-3*u*y+3*v*x,2*u*z^2+6*x*z-18*u*z-9*u*v*y+9*v^2*x,
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| 90 | (-8*u*z^3)-24*x*z^2+72*u*z^2-36*v^2*x*z+27*u*y^2-27*v*x*y,
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| 91 | z^3+18*v^2*z^2-18*z^2-54*v*y*z+54*v^2*z+81*z+27*y^2-27*x^2,
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| 92 | (-4*z^4)+48*z^3-108*v*y*z^2+108*z^2+135*y^2*z+324*v*y*z+108*x^2*z
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| 93 | -1296*v^2*z-1944*z-243*v^2*y^2-648*y^2+243*v^2*x^2+648*x^2,
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| 94 | 8*v*z^3-9*y*z^2+72*v*z^2+54*v^2*y*z-27*y*z-27*v*y^2+27*v*x^2,
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| 95 | (-8*v*z^4)+12*y*z^3-96*v*z^3-216*v*z^2-135*v*y^2*z+324*y*z-27*v*x^2*z
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| 96 | +81*y^3+81*v*y^2-81*x^2*y-81*v*x^2,
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| 97 | (-64*v*z^6)+120*y*z^5-1152*v*z^5+288*y*z^4-5184*v*z^4-648*v*y^2*z^3
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| 98 | -216*y*z^3+6912*v*z^3+81*y^3*z^2-9720*v*y^2*z^2
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| 99 | -1539*x^2*y*z^2+31104*y*z^2+62208*v*z^2+8505*y^3*z
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| 100 | +46656*v*y^2*z-8505*x^2*y*z-93312*y*z+729*v*y^4-23328*y^3
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| 101 | -1458*v*x^2*y^2-23328*v*y^2+23328*x^2*y+729*v*x^4
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| 102 | +23328*v*x^2,
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| 103 | 8*z^6-72*z^5+648*v*y*z^4-648*z^4-945*y^2*z^3+5184*v*y*z^3-189*x^2*z^3
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| 104 | +5832*z^3+972*y^2*z^2+17496*v*y*z^2-2430*x^2*z^2+8748*v*y^3*z
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| 105 | -19683*y^2*z+2187*x^2*z-5103*y^4-4374*v*y^3+5832*x^2*y^2
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| 106 | +4374*v*x^2*y-729*x^4,
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| 107 | 8*z^7-48*z^6+648*v*y*z^5-864*z^5-945*y^2*z^4+5832*v*y*z^4-189*x^2*z^4
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| 108 | +3888*z^4+81*y^2*z^3+17496*v*y*z^3-2997*x^2*z^3+17496*z^3
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| 109 | +8748*v*y^3*z^2-16767*y^2*z^2+17496*v*y*z^2-5103*x^2*z^2
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| 110 | -5103*y^4*z+5832*x^2*y^2*z-6561*y^2*z-729*x^4*z+6561*x^2*z
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| 111 | -2187*y^4+4374*x^2*y^2-2187*x^4,
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| 112 | 64*z^9-10368*z^7+1296*y^2*z^6-1296*x^2*z^6-34992*y^2*z^5-34992*x^2*z^5
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| 113 | +419904*z^5+174960*y^2*z^4-174960*x^2*z^4-10935*y^4*z^3
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| 114 | -56862*x^2*y^2*z^3+314928*y^2*z^3-10935*x^4*z^3+314928*x^2*z^3
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| 115 | +118098*y^4*z^2-118098*x^4*z^2+59049*y^4*z-118098*x^2*y^2*z
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| 116 | +59049*x^4*z+19683*y^6-59049*x^2*y^4+59049*x^4*y^2-19683*x^6]" '(u v x y z)))))
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| 117 | (&body)))
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| 118 |
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| 119 | (test buchberger-advanced
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| 120 | "Buchberger algorithm - advanced case"
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| 121 | (with-fixture buchberger-advanced-context ()
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| 122 | (is-true (grobner-test gb fl))
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| 123 | ;;(is (every #'universal-equalp (buchberger fl) gb))
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| 124 | ;;(is (every #'universal-equalp (parallel-buchberger fl) gb))
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| 125 | ))
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| 126 |
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| 127 |
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| 128 |
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| 129 | (run! 'buchberger-suite)
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| 130 | (format t "All tests done!~%")
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| 131 |
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| 132 |
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