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source: branches/f4grobner/5am-buchberger.lisp@ 4433

Last change on this file since 4433 was 4387, checked in by Marek Rychlik, 8 years ago
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1;;; -*- Mode: Lisp -*-
2;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
3;;;
4;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
5;;;
6;;; This program is free software; you can redistribute it and/or modify
7;;; it under the terms of the GNU General Public License as published by
8;;; the Free Software Foundation; either version 2 of the License, or
9;;; (at your option) any later version.
10;;;
11;;; This program is distributed in the hope that it will be useful,
12;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
13;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14;;; GNU General Public License for more details.
15;;;
16;;; You should have received a copy of the GNU General Public License
17;;; along with this program; if not, write to the Free Software
18;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
19;;;
20;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
21
22;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
23;;
24;; Run tests using 5am unit testing framework
25;;
26;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
27
28;; We assume that QuickLisp package manager is installed.
29;; See :
30;; https://www.quicklisp.org/beta/
31;;
32
33;; The following is unnecessary after running:
34;; * (ql:add-to-init-file)
35;; at lisp prompt:
36;;(load "~/quicklisp/setup")
37
38(ql:quickload :fiveam)
39
40(defpackage #:5am-buchberger
41 (:use :cl :it.bese.fiveam :monom :polynomial :infix :symbolic-polynomial :division :priority-queue :buchberger :grobner-debug))
42
43(in-package :5am-buchberger)
44
45(def-suite buchberger-suite
46 :description "Buchberger algorithm suite")
47
48(in-suite buchberger-suite)
49
50#+nil
51(setf $poly_grobner_debug t
52 $poly_top_reduction_only nil)
53
54(def-fixture buchberger-context ()
55 (let ((fl (cdr (string->poly "[x+y,x-2*y]" '(x y))))
56 (gb (cdr (string->poly "[x+y,x-2*y,y]" '(x y)))))
57 (&body)))
58
59
60(test buchberger
61 "Buchberger algorithm"
62 (with-fixture buchberger-context ()
63 (is-true (grobner-test gb fl))
64 (is (every #'universal-equalp (buchberger fl) gb))
65 ;;(is (every #'universal-equalp (parallel-buchberger fl) gb))
66 )
67 )
68
69;; 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]);
70(def-fixture buchberger-advanced-context ()
71 (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))))
72 (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,
73 (-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,
74 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,
75 (-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,
76 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,
77 (-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
78 -1296*v^2*z-1944*z-243*v^2*y^2-648*y^2+243*v^2*x^2+648*x^2,
79 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,
80 (-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
81 +81*y^3+81*v*y^2-81*x^2*y-81*v*x^2,
82 (-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
83 -216*y*z^3+6912*v*z^3+81*y^3*z^2-9720*v*y^2*z^2
84 -1539*x^2*y*z^2+31104*y*z^2+62208*v*z^2+8505*y^3*z
85 +46656*v*y^2*z-8505*x^2*y*z-93312*y*z+729*v*y^4-23328*y^3
86 -1458*v*x^2*y^2-23328*v*y^2+23328*x^2*y+729*v*x^4
87 +23328*v*x^2,
88 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
89 +5832*z^3+972*y^2*z^2+17496*v*y*z^2-2430*x^2*z^2+8748*v*y^3*z
90 -19683*y^2*z+2187*x^2*z-5103*y^4-4374*v*y^3+5832*x^2*y^2
91 +4374*v*x^2*y-729*x^4,
92 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
93 +3888*z^4+81*y^2*z^3+17496*v*y*z^3-2997*x^2*z^3+17496*z^3
94 +8748*v*y^3*z^2-16767*y^2*z^2+17496*v*y*z^2-5103*x^2*z^2
95 -5103*y^4*z+5832*x^2*y^2*z-6561*y^2*z-729*x^4*z+6561*x^2*z
96 -2187*y^4+4374*x^2*y^2-2187*x^4,
97 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
98 +419904*z^5+174960*y^2*z^4-174960*x^2*z^4-10935*y^4*z^3
99 -56862*x^2*y^2*z^3+314928*y^2*z^3-10935*x^4*z^3+314928*x^2*z^3
100 +118098*y^4*z^2-118098*x^4*z^2+59049*y^4*z-118098*x^2*y^2*z
101 +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)))))
102 (&body)))
103
104#+nil
105(test buchberger-advanced-preliminary
106 (with-fixture buchberger-advanced-context ()
107 (print (poly->string (elt gb 0)))
108 (print (poly->string (elt gb 6)))))
109
110
111#+nil
112(test buchberger-advanced-partial
113 (with-fixture buchberger-advanced-context ()
114 (loop
115 for i from 0 below (length gb)
116 do
117 (loop
118 for j from (1+ i) below (length gb)
119 do
120 (is (universal-zerop (second (multiple-value-list (poly-pseudo-divide (s-polynomial (elt gb i) (elt gb j)) gb))))
121 "Failed with I=~S, J=~S~%" I J)))))
122
123#-nil
124(test buchberger-advanced
125 "Buchberger algorithm - advanced case"
126 (with-fixture buchberger-advanced-context ()
127 ;;(is-true (grobner-test gb fl))
128 (is (every #'universal-equalp (buchberger fl) gb))
129 ;;(is (every #'universal-equalp (parallel-buchberger fl) gb))
130 ))
131
132
133
134(run! 'buchberger-suite)
135(format t "All tests done!~%")
136
137
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