source: CGBLisp/tests/RCS/cox-tests.lisp,v@ 1

Last change on this file since 1 was 1, checked in by Marek Rychlik, 15 years ago

First import of a version circa 1997.
File size: 6.3 KB
Line 
1head 1.1;
2access;
3symbols;
4locks; strict;
5comment @;;; @;
6
7
81.1
9date 2009.01.19.18.19.39; author marek; state Exp;
10branches;
11next ;
12
13
14desc
15@@
16
17
181.1
19log
20@Initial revision
21@
22text
23@;;; THIS FILE IS OBSOLETE!!! IT NEEDS A CONVERSION TO NEW FORMAT.
24#|
25 SccsId="@@(#)tests.lisp, version 1.7 of 5/14/94(11:23:03)
26 *--------------------------------------------------------------------------*
27 | Copyright (C) 1994, Marek Rychlik (e-mail: rychlik@@math.arizona.edu) |
28 | Department of Mathematics, University of Arizona, Tucson, AZ 85721 |
29 | |
30 | Everyone is permitted to copy, distribute and modify the code in this |
31 | directory, as long as this copyright note is preserved verbatim. |
32 *--------------------------------------------------------------------------*
33|#
34
35;;(load "grobner-front-end")
36
37(defun run (test)
38 (format t "Test ~a ~:[failed~;succeeded~]...~%" test (time (funcall test))))
39
40(defun test-1 ()
41 (let* ((vars '(x y)))
42 (equalp
43 (mapcar #'(lambda (pred)
44 (let* ((f (poly "4*x^2-3*x*y" vars pred))
45 (g (poly "4*x+5*y" vars pred)))
46 (spoly f g pred)))
47 (list #'lex> #'grlex> #'grevlex>))
48 (list
49 (poly "-32*x*y" vars #'lex>)
50 (poly "-32*x*y" vars #'grlex>)
51 (poly "-32*x*y" vars #'grevlex>)))))
52
53(defun test-2 ()
54 (let* ((vars '(x y z)))
55 (equalp
56 (mapcar #'(lambda (pred)
57 (let* ((f (poly "4*x^5-3*x*y-z^2" vars pred))
58 (g (poly-list "[4*x^3+5*y+z^2,y^2+z]" vars pred)))
59 (normal-form f g pred)))
60 (list #'lex> #'grlex> #'grevlex>))
61 (list
62 (poly "-5*x^2*y-x^2*z^2-3*x*y-z^2" vars #'lex>)
63 (poly "-X^2*Z^2-5*X^2*Y-3*X*Y-Z^2" vars #'grlex>)
64 (poly "-X^2*Z^2-5*X^2*Y-3*X*Y-Z^2" vars #'grevlex>)))))
65
66
67;; Find the equation of the Enneper surface
68(defun test-3 ()
69 (let* ((vars '(u v x y z))
70 (eqns (poly-list
71 "[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]"
72 vars))
73 (ans (poly-list
74 "[X^6 - 3 * X^4 * Y^2 + 5/9 * X^4 * Z^3 + 6 * X^4 * Z^2 - 3 *
75 X^4 * Z + 3 * X^2 * Y^4 + 26/9 * X^2 * Y^2 * Z^3 + 6 * X^2 *
76 Y^2 * Z + 16/243 * X^2 * Z^6 + 16/9 * X^2 * Z^5 + 80/9 * X^2 *
77 Z^4 - 16 * X^2 * Z^3 - Y^6 + 5/9 * Y^4 * Z^3 - 6 * Y^4 * Z^2 -
78 3 * Y^4 * Z - 16/243 * Y^2 * Z^6 + 16/9 * Y^2 * Z^5 - 80/9 *
79 Y^2 * Z^4 - 16 * Y^2 * Z^3 - 64/19683 * Z^9 + 128/243 * Z^7 -
80 64/3 * Z^5]"
81 vars)))
82 (set-coefficient-ring nil) ;char=0
83 (equalp (elimination-ideal eqns 2) ans)))
84
85(defun test-4 ()
86 (let* ((vars '(x y))
87 (id1 (poly-list "[x-y^2,y^2*x]" vars))
88 (id2 (poly-list "[x^2-x*y^2,y^2]" vars))
89 (ans (poly-list "[x^2,y^4,x*y^2]" vars)))
90 (equalp (ideal-intersection id1 id2) ans)))
91
92(defun test-5 ()
93 (let* ((vars '(x y z))
94 (f (poly-list "[x^5+y^4+z^3-1, x^3+y^2+z^2-1]" vars))
95 (ans (poly-list
96 "[ X^2 * Z^4 + X^2 * Z^3 - 2 * X^2 * Z^2 - 1/6 * X * Z^10 - 2/3
97 * X * Z^9 - 1/4 * X * Z^8 + 7/6 * X * Z^7 - 1/12 * X * Z^6 - X
98 * Z^5 + X * Z^4 + 1/2 * Y^10 * Z^2 + 1/3 * Y^10 * Z - 5/12 *
99 Y^10 - 1/6 * Y^8 * Z^4 + 1/3 * Y^8 * Z^3 + 1/4 * Y^8 * Z^2 +
100 1/2 * Y^8 + Y^6 * Z^5 - 5/3 * Y^6 * Z^4 - 17/6 * Y^6 * Z^3 +
101 17/6 * Y^6 * Z^2 + 2/3 * Y^6 * Z - 1/3 * Y^6 - 1/3 * Y^4 * Z^7
102 - 7/2 * Y^4 * Z^6 - 3 * Y^4 * Z^5 + 131/12 * Y^4 * Z^4 + 23/4 *
103 Y^4 * Z^3 - 13 * Y^4 * Z^2 - 8/3 * Y^4 * Z + 29/6 * Y^4 - 17/6
104 * Y^2 * Z^8 - 4 * Y^2 * Z^7 + 119/12 * Y^2 * Z^6 + 17/2 * Y^2 *
105 Z^5 - 16 * Y^2 * Z^4 - 14/3 * Y^2 * Z^3 + 12 * Y^2 * Z^2 + 5/3
106 * Y^2 * Z - 55/12 * Y^2 - 7/6 * Z^10 - 7/6 * Z^9 + 55/12 * Z^8
107 + 21/4 * Z^7 - 31/4 * Z^6 - 15/2 * Z^5 + 83/12 * Z^4 + 41/12 *
108 Z^3 - 31/12 * Z^2, X * Y^2 * Z - X * Y^2 - 1/8 * X * Z^10 -
109 7/24 * X * Z^9 + 1/2 * X * Z^8 + 7/8 * X * Z^7 - 23/24 * X *
110 Z^6 + 1/2 * X * Z^4 - 1/2 * X * Z^3 - X * Z + X + 3/8 * Y^10 *
111 Z^2 - 3/8 * Y^10 * Z - 7/24 * Y^10 - 1/8 * Y^8 * Z^4 + 11/24 *
112 Y^8 * Z^3 - 3/8 * Y^8 * Z^2 + 1/4 * Y^8 * Z - 1/4 * Y^8 + 3/4 *
113 Y^6 * Z^5 - 5/2 * Y^6 * Z^4 + 5/6 * Y^6 * Z^3 + 31/12 * Y^6 *
114 Z^2 - Y^6 * Z - 1/3 * Y^6 - 1/4 * Y^4 * Z^7 - 53/24 * Y^4 * Z^6
115 + 11/6 * Y^4 * Z^5 + 113/12 * Y^4 * Z^4 - 55/8 * Y^4 * Z^3 -
116 29/4 * Y^4 * Z^2 + 15/4 * Y^4 * Z + 19/12 * Y^4 - 17/8 * Y^2 *
117 Z^8 + 13/24 * Y^2 * Z^7 + 239/24 * Y^2 * Z^6 - 59/12 * Y^2 *
118 Z^5 - 151/12 * Y^2 * Z^4 + 85/12 * Y^2 * Z^3 + 43/8 * Y^2 * Z^2
119 - 29/8 * Y^2 * Z + 7/24 * Y^2 - 7/8 * Z^10 + 7/12 * Z^9 + 31/8
120 * Z^8 - 11/12 * Z^7 - 103/12 * Z^6 + 17/6 * Z^5 + 127/24 * Z^4
121 - 3/2 * Z^3 - 17/24 * Z^2 + Z - 1, X * Z^11 + 4 * X * Z^10 + X
122 * Z^9 - 10 * X * Z^8 - 4 * X * Z^7 + 8 * X * Z^6 - 3 * Y^10 *
123 Z^3 - 2 * Y^10 * Z^2 + 4 * Y^10 * Z + 4 * Y^10 + Y^8 * Z^5 - 2
124 * Y^8 * Z^4 - 2 * Y^8 * Z^3 - 6 * Y^6 * Z^6 + 10 * Y^6 * Z^5 +
125 20 * Y^6 * Z^4 - 16 * Y^6 * Z^3 - 24 * Y^6 * Z^2 + 8 * Y^6 * Z
126 + 8 * Y^6 + 2 * Y^4 * Z^8 + 21 * Y^4 * Z^7 + 17 * Y^4 * Z^6 -
127 78 * Y^4 * Z^5 - 64 * Y^4 * Z^4 + 90 * Y^4 * Z^3 + 76 * Y^4 *
128 Z^2 - 32 * Y^4 * Z - 32 * Y^4 + 17 * Y^2 * Z^9 + 24 * Y^2 * Z^8
129 - 68 * Y^2 * Z^7 - 80 * Y^2 * Z^6 + 106 * Y^2 * Z^5 + 108 * Y^2
130 * Z^4 - 77 * Y^2 * Z^3 - 70 * Y^2 * Z^2 + 20 * Y^2 * Z + 20 *
131 Y^2 + 7 * Z^11 + 7 * Z^10 - 31 * Z^9 - 42 * Z^8 + 55 * Z^7 + 77
132 * Z^6 - 39 * Z^5 - 62 * Z^4 + 8 * Z^3 + 20 * Z^2, Y^12 - Y^10 +
133 3 * Y^8 * Z^3 - 5 * Y^8 * Z^2 + 2 * Y^8 - 10 * Y^6 * Z^4 + 20 *
134 Y^6 * Z^2 - 10 * Y^6 - 7 * Y^4 * Z^6 + 30 * Y^4 * Z^4 - 6 * Y^4
135 * Z^3 - 30 * Y^4 * Z^2 + 13 * Y^4 - 5 * Y^2 * Z^8 + 20 * Y^2 *
136 Z^6 - 30 * Y^2 * Z^4 + 20 * Y^2 * Z^2 - 5 * Y^2 - Z^10 + Z^9 +
137 5 * Z^8 - 13 * Z^6 + 10 * Z^4 + 3 * Z^3 - 5 * Z^2, X * Y^4 + X
138 * Z^3 - X + Y^4 + 2 * Y^2 * Z^2 - 2 * Y^2 + Z^4 - 2 * Z^2 + 1,
139 X^2 * Y^2 + X^2 * Z^2 - X^2 - Y^4 - Z^3 + 1, X^3 + Y^2 + Z^2 -
140 1 ]" vars)))
141 (equalp (grobner f :reduce t) ans)))
142
143(defun test-6 ()
144 (let* ((vars '(x y z))
145 (f (poly-list "[x^5+y^4+z^3-1,x^3+y^3+z^2-1]" vars))
146 (ans (poly-list "[x]" vars))) ;unknown yet
147 (equalp (grobner f :reduce t) ans)))
148
149;;----------------------------------------------------------------
150
151(defun run-short-tests ()
152 (dolist (test '(test-1 test-2 test-4))
153 (run test)))
154
155(defun run-long-tests ()
156 (dolist (test '(test-3 test-5))
157 (run test)))
158
159@
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