source: CGBLisp/samples/colored-poly-tests.output.2@ 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: 18.1 KB
Line 
1Starts dribbling to colored-poly-tests.output (1995/4/4, 1:36:51).
2real time : 0.033 secs
3run time : 0.000 secs
4VALUES--> (NIL)
5
6EVAL> (WARN "Test 1")
7Warning: Test 1
8real time : 0.000 secs
9run time : 0.000 secs
10VALUES--> (NIL)
11
12EVAL> (STRING-GROBNER-SYSTEM "[4*x^2-3*x*y,4*x+5*y]" '(X Y) 'NIL)
13Condition:
14 Green list: [ ]
15 Red list: [ ]
16 Basis: [ (4) * X + (5) * Y, ( - 10) * Y^2 ]
17real time : 0.067 secs
18run time : 0.033 secs
19VALUES--> NIL
20
21EVAL> (WARN "Test 2 - Enneper")
22Warning: Test 2 - Enneper
23real time : 0.000 secs
24run time : 0.000 secs
25VALUES--> (NIL)
26
27EVAL> (SETF VAL1
28 (STRING-GROBNER-SYSTEM
29 "[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]"
30 '(U V X Y Z) 'NIL :SUPPRESS-VALUE T))
31Condition:
32 Green list: [ ]
33 Red list: [ ]
34 Basis: [ ( - 3) * U^2 + (3) * V^2 + (1) * Z, ( - 6) * U * V^2 + (1) * U * Z + ( - 9) * U + (3) * X, (2) * V^3 + (1) * V * Z + (3) * V + ( - 1) * Y, (9) * U * V * Y + ( - 2) * U * Z^2 + (18) * U * Z + ( - 9) * V^2 * X + ( - 6) * X * Z, ( - 9) * U * X + ( - 6) * V^2 * Z + (9) * V * Y + ( - 1) * Z^2 + (9) * Z, ( - 4) * U * V * Z + (3) * U * Y + ( - 3) * V * X, ( - 27) * U * Y^2 + (8) * U * Z^3 + ( - 72) * U * Z^2 + (36) * V^2 * X * Z + (27) * V * X * Y + (24) * X * Z^2, (18) * V^2 * Z^2 + (54) * V^2 * Z + ( - 54) * V * Y * Z + ( - 27) * X^2 + (27) * Y^2 + (1) * Z^3 + ( - 18) * Z^2 + (81) * Z, ( - 54) * V^2 * Y * Z + ( - 27) * V * X^2 + (27) * V * Y^2 + ( - 8) * V * Z^3 + ( - 72) * V * Z^2 + (9) * Y * Z^2 + (27) * Y * Z, (243) * V^2 * X^2 + ( - 243) * V^2 * Y^2 + ( - 1296) * V^2 * Z + ( - 108) * V * Y * Z^2 + (324) * V * Y * Z + (108) * X^2 * Z + (648) * X^2 + (135) * Y^2 * Z + ( - 648) * Y^2 + ( - 4) * Z^4 + (48) * Z^3 + (108) * Z^2 + ( - 1944) * Z, ( - 81) * V * X^2 * Z + ( - 243) * V * X^2 + ( - 405) * V * Y^2 * Z + (243) * V * Y^2 + ( - 24) * V * Z^4 + ( - 288) * V * Z^3 + ( - 648) * V * Z^2 + ( - 243) * X^2 * Y + (243) * Y^3 + (36) * Y * Z^3 + (972) * Y * Z, ( - 4374) * V * X^2 * Y + ( - 8748) * V * Y^3 * Z + (4374) * V * Y^3 + ( - 648) * V * Y * Z^4 + ( - 5184) * V * Y * Z^3 + ( - 17496) * V * Y * Z^2 + (729) * X^4 + ( - 5832) * X^2 * Y^2 + (189) * X^2 * Z^3 + (2430) * X^2 * Z^2 + ( - 2187) * X^2 * Z + (5103) * Y^4 + (945) * Y^2 * Z^3 + ( - 972) * Y^2 * Z^2 + (19683) * Y^2 * Z + ( - 8) * Z^6 + (72) * Z^5 + (648) * Z^4 + ( - 5832) * Z^3, ( - 2187) * V * X^4 + ( - 69984) * V * X^2 + ( - 8748) * V * Y^4 * Z + (2187) * V * Y^4 + ( - 648) * V * Y^2 * Z^4 + ( - 3240) * V * Y^2 * Z^3 + (11664) * V * Y^2 * Z^2 + ( - 139968) * V * Y^2 * Z + (69984) * V * Y^2 + (192) * V * Z^6 + (3456) * V * Z^5 + (15552) * V * Z^4 + ( - 20736) * V * Z^3 + ( - 186624) * V * Z^2 + (729) * X^4 * Y + ( - 5832) * X^2 * Y^3 + (189) * X^2 * Y * Z^3 + (7047) * X^2 * Y * Z^2 + (23328) * X^2 * Y * Z + ( - 69984) * X^2 * Y + (5103) * Y^5 + (945) * Y^3 * Z^3 + ( - 1215) * Y^3 * Z^2 + ( - 5832) * Y^3 * Z + (69984) * Y^3 + ( - 8) * Y * Z^6 + ( - 288) * Y * Z^5 + ( - 216) * Y * Z^4 + ( - 5184) * Y * Z^3 + ( - 93312) * Y * Z^2 + (279936) * Y * Z, (43740) * V * Y^3 * Z^2 + (3240) * V * Y * Z^5 + (29160) * V * Y * Z^4 + (87480) * V * Y * Z^3 + (87480) * V * Y * Z^2 + ( - 3645) * X^4 * Z + ( - 10935) * X^4 + (29160) * X^2 * Y^2 * Z + (21870) * X^2 * Y^2 + ( - 945) * X^2 * Z^4 + ( - 14985) * X^2 * Z^3 + ( - 25515) * X^2 * Z^2 + (32805) * X^2 * Z + ( - 25515) * Y^4 * Z + ( - 10935) * Y^4 + ( - 4725) * Y^2 * Z^4 + (405) * Y^2 * Z^3 + ( - 83835) * Y^2 * Z^2 + ( - 32805) * Y^2 * Z + (40) * Z^7 + ( - 240) * Z^6 + ( - 4320) * Z^5 + (19440) * Z^4 + (87480) * Z^3, (98415) * X^6 + ( - 295245) * X^4 * Y^2 + (54675) * X^4 * Z^3 + (590490) * X^4 * Z^2 + ( - 295245) * X^4 * Z + (295245) * X^2 * Y^4 + (284310) * X^2 * Y^2 * Z^3 + (590490) * X^2 * Y^2 * Z + (6480) * X^2 * Z^6 + (174960) * X^2 * Z^5 + (874800) * X^2 * Z^4 + ( - 1574640) * X^2 * Z^3 + ( - 98415) * Y^6 + (54675) * Y^4 * Z^3 + ( - 590490) * Y^4 * Z^2 + ( - 295245) * Y^4 * Z + ( - 6480) * Y^2 * Z^6 + (174960) * Y^2 * Z^5 + ( - 874800) * Y^2 * Z^4 + ( - 1574640) * Y^2 * Z^3 + ( - 320) * Z^9 + (51840) * Z^7 + ( - 2099520) * Z^5 ]
35real time : 18.267 secs
36run time : 10.200 secs
37VALUES--> (NIL)
38
39EVAL> (SETF VAL1
40 (GROBNER (MAPCAR #'COLORED-POLY-TO-POLY (CADAR VAL1))))
41real time : 0.000 secs
42run time : 0.000 secs
43VALUES--> (NIL)
44
45EVAL> (SETF VAL2
46 (STRING-GROBNER
47 "[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]"
48 '(U V X Y Z) :SUPPRESS-VALUE T))
49Args:[ U^3 - 3 * U * V^2 - 3 * U + X, - 3 * U^2 * V + V^3 - 3 * V + Y, - 3 * U^2 + 3 * V^2 + Z ]
50[ 54 * V^2 * Y * Z + 27 * V * X^2 - 27 * V * Y^2 + 8 * V * Z^3 + 72 * V * Z^2 - 9 * Y * Z^2 - 27 * Y * Z, 9 * U * X + 6 * V^2 * Z - 9 * V * Y + Z^2 - 9 * Z, 243 * V^2 * X^2 - 243 * V^2 * Y^2 - 1296 * V^2 * Z - 108 * V * Y * Z^2 + 324 * V * Y * Z + 108 * X^2 * Z + 648 * X^2 + 135 * Y^2 * Z - 648 * Y^2 - 4 * Z^4 + 48 * Z^3 + 108 * Z^2 - 1944 * Z, 2 * V^3 + V * Z + 3 * V - Y, 6 * U * V^2 - U * Z + 9 * U - 3 * X, 3 * U^2 - 3 * V^2 - Z, 4 * U * V * Z - 3 * U * Y + 3 * V * X, 9 * U * V * Y - 2 * U * Z^2 + 18 * U * Z - 9 * V^2 * X - 6 * X * Z, 27 * U * Y^2 - 8 * U * Z^3 + 72 * U * Z^2 - 36 * V^2 * X * Z - 27 * V * X * Y - 24 * X * Z^2, 18 * V^2 * Z^2 + 54 * V^2 * Z - 54 * V * Y * Z - 27 * X^2 + 27 * Y^2 + Z^3 - 18 * Z^2 + 81 * Z, 27 * V * X^2 * Z + 81 * V * X^2 + 135 * V * Y^2 * Z - 81 * V * Y^2 + 8 * V * Z^4 + 96 * V * Z^3 + 216 * V * Z^2 + 81 * X^2 * Y - 81 * Y^3 - 12 * Y * Z^3 - 324 * Y * Z, 4374 * V * X^2 * Y + 8748 * V * Y^3 * Z - 4374 * V * Y^3 + 648 * V * Y * Z^4 + 5184 * V * Y * Z^3 + 17496 * V * Y * Z^2 - 729 * X^4 + 5832 * X^2 * Y^2 - 189 * X^2 * Z^3 - 2430 * X^2 * Z^2 + 2187 * X^2 * Z - 5103 * Y^4 - 945 * Y^2 * Z^3 + 972 * Y^2 * Z^2 - 19683 * Y^2 * Z + 8 * Z^6 - 72 * Z^5 - 648 * Z^4 + 5832 * Z^3, 8748 * V * Y^3 * Z^2 + 648 * V * Y * Z^5 + 5832 * V * Y * Z^4 + 17496 * V * Y * Z^3 + 17496 * V * Y * Z^2 - 729 * X^4 * Z - 2187 * X^4 + 5832 * X^2 * Y^2 * Z + 4374 * X^2 * Y^2 - 189 * X^2 * Z^4 - 2997 * X^2 * Z^3 - 5103 * X^2 * Z^2 + 6561 * X^2 * Z - 5103 * Y^4 * Z - 2187 * Y^4 - 945 * Y^2 * Z^4 + 81 * Y^2 * Z^3 - 16767 * Y^2 * Z^2 - 6561 * Y^2 * Z + 8 * Z^7 - 48 * Z^6 - 864 * Z^5 + 3888 * Z^4 + 17496 * Z^3, 2187 * V * X^4 + 69984 * V * X^2 + 8748 * V * Y^4 * Z - 2187 * V * Y^4 + 648 * V * Y^2 * Z^4 + 3240 * V * Y^2 * Z^3 - 11664 * V * Y^2 * Z^2 + 139968 * V * Y^2 * Z - 69984 * V * Y^2 - 192 * V * Z^6 - 3456 * V * Z^5 - 15552 * V * Z^4 + 20736 * V * Z^3 + 186624 * V * Z^2 - 729 * X^4 * Y + 5832 * X^2 * Y^3 - 189 * X^2 * Y * Z^3 - 7047 * X^2 * Y * Z^2 - 23328 * X^2 * Y * Z + 69984 * X^2 * Y - 5103 * Y^5 - 945 * Y^3 * Z^3 + 1215 * Y^3 * Z^2 + 5832 * Y^3 * Z - 69984 * Y^3 + 8 * Y * Z^6 + 288 * Y * Z^5 + 216 * Y * Z^4 + 5184 * Y * Z^3 + 93312 * Y * Z^2 - 279936 * Y * Z, 19683 * X^6 - 59049 * X^4 * Y^2 + 10935 * X^4 * Z^3 + 118098 * X^4 * Z^2 - 59049 * X^4 * Z + 59049 * X^2 * Y^4 + 56862 * X^2 * Y^2 * Z^3 + 118098 * X^2 * Y^2 * Z + 1296 * X^2 * Z^6 + 34992 * X^2 * Z^5 + 174960 * X^2 * Z^4 - 314928 * X^2 * Z^3 - 19683 * Y^6 + 10935 * Y^4 * Z^3 - 118098 * Y^4 * Z^2 - 59049 * Y^4 * Z - 1296 * Y^2 * Z^6 + 34992 * Y^2 * Z^5 - 174960 * Y^2 * Z^4 - 314928 * Y^2 * Z^3 - 64 * Z^9 + 10368 * Z^7 - 419904 * Z^5 ]
51real time : 10.783 secs
52run time : 5.500 secs
53VALUES--> (NIL)
54
55EVAL> (GROBNER-EQUAL VAL1 VAL2)
56real time : 0.000 secs
57run time : 0.000 secs
58VALUES--> (T)
59
60EVAL> (WARN " Test 3 - staple")
61Warning: Test 3 - staple
62real time : 0.000 secs
63run time : 0.000 secs
64VALUES--> (NIL)
65
66EVAL> (STRING-GROBNER-SYSTEM "[x+y,x+u*y]" '(X Y) '(U))
67Condition:
68 Green list: [ ]
69 Red list: [ U - 1 ]
70 Basis: [ ( - U + 1) * Y, (U - 1) * X ]
71Condition:
72 Green list: [ U - 1 ]
73 Red list: [ ]
74 Basis: [ (1) * X + (1) * Y ]
75real time : 0.183 secs
76run time : 0.067 secs
77VALUES--> NIL
78
79EVAL> (WARN " Test 4 - staple")
80Warning: Test 4 - staple
81real time : 0.017 secs
82run time : 0.000 secs
83VALUES--> (NIL)
84
85EVAL> (STRING-GROBNER-SYSTEM "[x+y,u*x+y]" '(X Y) '(U))
86Condition:
87 Green list: [ U ]
88 Red list: [ ]
89 Basis: [ (1) * Y, (1) * X ]
90Condition:
91 Green list: [ ]
92 Red list: [ U, U - 1 ]
93 Basis: [ (U - 1) * Y, (U^2 - U) * X ]
94Condition:
95 Green list: [ U - 1 ]
96 Red list: [ ]
97 Basis: [ (1) * X + (1) * Y ]
98real time : 0.200 secs
99run time : 0.050 secs
100VALUES--> NIL
101
102EVAL> (WARN "Test 5 - a small robot example")
103Warning: Test 5 - a small robot example
104real time : 0.000 secs
105run time : 0.000 secs
106VALUES--> (NIL)
107
108EVAL> (STRING-GROBNER-SYSTEM
109 "[a-l3*c1*c2+l3*s1*s2-l2*c1, b-l3*c1*s2-l3*c2*s1-l2*s1, c1^2+s1^2-1, c2^2+s2^2-1]"
110 '(C2 S2 C1 S1) '(A B L2 L3) :COVER '(("[]" "[l2,l3]")))
111Condition:
112 Green list: [ ]
113 Red list: [ L3, A^2 + B^2, L2, A ]
114 Basis: [ ( - 2 * A * L2) * C1 + ( - 2 * B * L2) * S1 + (A^2 + B^2 + L2^2 - L3^2), (4 * A^2 * L2^2 + 4 * B^2 * L2^2) * S1^2 + ( - 4 * A^2 * B * L2 - 4 * B^3 * L2 - 4 * B * L2^3 + 4 * B * L2 * L3^2) * S1 + (A^4 + 2 * A^2 * B^2 - 2 * A^2 * L2^2 - 2 * A^2 * L3^2 + B^4 + 2 * B^2 * L2^2 - 2 * B^2 * L3^2 + L2^4 - 2 * L2^2 * L3^2 + L3^4), ( - 2 * A * L2 * L3) * S2 + ( - 2 * A^2 * L2 - 2 * B^2 * L2) * S1 + (A^2 * B + B^3 + B * L2^2 - B * L3^2), ( - 2 * L2 * L3) * C2 + (A^2 + B^2 - L2^2 - L3^2) ]
115Condition:
116 Green list: [ A^2 + B^2 ]
117 Red list: [ L3, B * L2^2 - B * L3^2, L2, A, 4 * B^2 * L2^4 + 4 * B^2 * L2^2 * L3^2 + L2^6 - L2^4 * L3^2 - L2^2 * L3^4 + L3^6 ]
118 Basis: [ ( - 4 * B^2 * L2^4 - 4 * B^2 * L2^2 * L3^2 - L2^6 + L2^4 * L3^2 + L2^2 * L3^4 - L3^6) ]
119Condition:
120 Green list: [ A^2 + B^2, 4 * B^2 * L2^4 + 4 * B^2 * L2^2 * L3^2 + L2^6 - L2^4 * L3^2 - L2^2 * L3^4 + L3^6 ]
121 Red list: [ L3, B * L2^2 - B * L3^2, L2, A ]
122 Basis: [ ( - 4 * B * L2^3 + 4 * B * L2 * L3^2) * S1 + (4 * B^2 * L2^2 + L2^4 - 2 * L2^2 * L3^2 + L3^4), (4 * A * B * L2^3 * L3 - 4 * A * B * L2 * L3^3) * S2 + (12 * B^2 * L2^2 * L3^2 - 4 * B^2 * L3^4 + L2^6 - L2^4 * L3^2 - L2^2 * L3^4 + L3^6), ( - 2 * L2 * L3) * C2 + ( - L2^2 - L3^2), (4 * A * L2^3 - 4 * A * L2 * L3^2) * C1 + (4 * B^2 * L2^2 - L2^4 + 2 * L2^2 * L3^2 - L3^4) ]
123Condition:
124 Green list: [ A^2 + B^2, L2^2 - L3^2 ]
125 Red list: [ B^2, L3, A, L2 ]
126 Basis: [ (4 * B^2 * L3^2) ]
127Condition:
128 Green list: [ A ]
129 Red list: [ L3, B, L2, B^4 - 2 * B^2 * L3^2 - L2^4 + L3^4 ]
130 Basis: [ (B^4 - 2 * B^2 * L3^2 - L2^4 + L3^4) ]
131Condition:
132 Green list: [ A, B^4 - 2 * B^2 * L3^2 - L2^4 + L3^4 ]
133 Red list: [ L3, B, L2 ]
134 Basis: [ ( - 2 * B * L2) * S1 + (B^2 + L2^2 - L3^2), (4 * B^2 * L2^2) * C1^2 + ( - 2 * B^2 * L2^2 + 2 * L2^4 - 2 * L2^2 * L3^2), (2 * B * L2 * L3) * S2 + ( - 2 * B^2 * L2) * C1, ( - 2 * L2 * L3) * C2 + (B^2 - L2^2 - L3^2) ]
135Condition:
136 Green list: [ A, B ]
137 Red list: [ L3, L2, L2^2 - L3^2 ]
138 Basis: [ (L2^2 - L3^2) ]
139Condition:
140 Green list: [ A, B, L2^2 - L3^2 ]
141 Red list: [ L3, L2 ]
142 Basis: [ (1) * C1^2 + (1) * S1^2 + ( - 1), (L3) * S2, (L3) * C2 + (L2) ]
143real time : 18.717 secs
144run time : 10.633 secs
145VALUES--> NIL
146
147EVAL> (WARN "Test 6 - Circle of Apollonius")
148Warning: Test 6 - Circle of Apollonius
149real time : 0.000 secs
150run time : 0.000 secs
151VALUES--> (NIL)
152
153EVAL> (STRING-GROBNER-SYSTEM
154 "[2*x1-u1,2*x2-u2,2*x3-u1,2*x4-u2,x5*u1-x6*u2,x5*u2+x6*u1-u1*u2,x1^2-2*x1*x7+x7^2+x8^2-x7^2-x8^2+2*x8*x2-x2^2,x1^2-2*x1*x7+x7^2+x6^2-2*x6*x8+x8^2-x3^2+2*x3*x7-x7^2-x4^2+2*x4*x8-x8^2,1-s*x5^2+2*s*x5*x7-s*x7^2-s*x6^2+2*s*x6*x8-s*x8^2+s*x1^2-2*s*x1*x7+s*x7^2+s*x8^2]"
155 '(S X1 X2 X3 X4 X5 X6 X7 X8) '(U1 U2))
156Condition:
157 Green list: [ U2, U1 ]
158 Red list: [ ]
159 Basis: [ (2) * X1, (2) * X2, (2) * X3, (2) * X4, ( - 4) * X6^2 + (8) * X6 * X8, (4) * S * X5^2 + ( - 8) * S * X5 * X7 + ( - 4) ]
160Condition:
161 Green list: [ U2 ]
162 Red list: [ U1 ]
163 Basis: [ ( - 4 * U1^3) ]
164Condition:
165 Green list: [ U1 ]
166 Red list: [ U2 ]
167 Basis: [ (4 * U2^2) ]
168Condition:
169 Green list: [ ]
170 Red list: [ U1, U1^2 - U2^2, U2, U1^2 + U2^2 ]
171 Basis: [ ( - U1^2 - U2^2) * X6 + (U1^2 * U2), ( - 4 * U1^4 * U2 + 4 * U2^5) * X8 + (3 * U1^4 * U2^2 - 2 * U1^2 * U2^4 - U2^6), (2 * U1^6 * U2^2 - 2 * U1^4 * U2^4) * S + (4 * U1^6 - 4 * U1^2 * U2^4), (2) * X1 + ( - U1), (2) * X2 + ( - U2), (2) * X3 + ( - U1), (2) * X4 + ( - U2), (U1^2 * U2 + U2^3) * X5 + ( - U1 * U2^3), ( - 4 * U1^5 + 4 * U1 * U2^4) * X7 + (U1^6 + 2 * U1^4 * U2^2 - 3 * U1^2 * U2^4) ]
172Condition:
173 Green list: [ U1^2 + U2^2 ]
174 Red list: [ U1, U2 ]
175 Basis: [ ( - U2^3) ]
176Condition:
177 Green list: [ U1^2 - U2^2 ]
178 Red list: [ U1, U2 ]
179 Basis: [ (4 * U1) * X7 + ( - 4 * U2) * X8, ( - 4 * U2^3) * S * X8 + (U2^4) * S + ( - 4 * U2^2), ( - 2 * U2^2) * X6 + (U2^3), (2) * X1 + ( - U1), (2) * X2 + ( - U2), (2) * X3 + ( - U1), (2) * X4 + ( - U2), (2 * U2^3) * X5 + ( - U1 * U2^3) ]
180real time : 8.133 secs
181run time : 4.000 secs
182VALUES--> NIL
183
184EVAL> (WARN "Test 7")
185Warning: Test 7
186real time : 0.017 secs
187run time : 0.000 secs
188VALUES--> (NIL)
189
190EVAL> (SETF FL
191 (PARSE-STRING-TO-SORTED-ALIST
192 "[a^2*x^2*y+b*x^2*y+a^3*b*x*y+a^3*c*x*y,c^2*a*x^2+c^2*b*x^2+b*y+4]"
193 '(X Y A B C)))
194real time : 0.100 secs
195run time : 0.050 secs
196VALUES--> (((((2 1 2 0 0) . 1) ((2 1 0 1 0) . 1) ((1 1 3 1 0) . 1)
197 ((1 1 3 0 1) . 1))
198 (((2 0 1 0 2) . 1) ((2 0 0 1 2) . 1) ((0 1 0 1 0) . 1)
199 ((0 0 0 0 0) . 4))))
200
201EVAL> (SETF CFL (MAKE-COLORED-POLY-LIST FL 2))
202real time : 0.000 secs
203run time : 0.000 secs
204VALUES--> (((((2 1) (((2 0 0) . 1) ((0 1 0) . 1)) . :WHITE)
205 ((1 1) (((3 1 0) . 1) ((3 0 1) . 1)) . :WHITE))
206 (((2 0) (((1 0 2) . 1) ((0 1 2) . 1)) . :WHITE)
207 ((0 1) (((0 1 0) . 1)) . :WHITE)
208 ((0 0) (((0 0 0) . 4)) . :WHITE))))
209
210EVAL> (COND-SYSTEM-PRINT (DETERMINE CFL) '(X Y) '(A B C))
211Condition:
212 Green list: [ ]
213 Red list: [ A * C^2 + B * C^2, A^2 + B ]
214 Basis: [ (A^2 + B) * X^2 * Y + (A^3 * B + A^3 * C) * X * Y, (A * C^2 + B * C^2) * X^2 + (B) * Y + (4) ]
215Condition:
216 Green list: [ A^2 + B ]
217 Red list: [ A * C^2 + B * C^2, A^3 * B + A^3 * C ]
218 Basis: [ (A^3 * B + A^3 * C) * X * Y, (A * C^2 + B * C^2) * X^2 + (B) * Y + (4) ]
219Condition:
220 Green list: [ A^2 - C, B + C ]
221 Red list: [ A * C^2 + B * C^2 ]
222 Basis: [ (A * C^2 + B * C^2) * X^2 + (B) * Y + (4) ]
223Condition:
224 Green list: [ A * C^2 + B * C^2 ]
225 Red list: [ B, A^2 + B ]
226 Basis: [ (A^2 + B) * X^2 * Y + (A^3 * B + A^3 * C) * X * Y, (B) * Y + (4) ]
227Condition:
228 Green list: [ A * C^2 - C^2, A^2 + B, B * C^2 + C^2 ]
229 Red list: [ B, A^3 * B + A^3 * C ]
230 Basis: [ (A^3 * B + A^3 * C) * X * Y, (B) * Y + (4) ]
231Condition:
232 Green list: [ B + 1, C - 1, A - 1 ]
233 Red list: [ B ]
234 Basis: [ (B) * Y + (4) ]
235Condition:
236 Green list: [ B, C^2 ]
237 Red list: [ 4, A^2 + B ]
238 Basis: [ (A^2 + B) * X^2 * Y + (A^3 * B + A^3 * C) * X * Y, (4) ]
239Condition:
240 Green list: [ A^2, A * C^2, B ]
241 Red list: [ 4 ]
242 Basis: [ (4) ]
243real time : 2.033 secs
244run time : 0.650 secs
245VALUES--> NIL
246
247EVAL> (WARN "Test 8")
248Warning: Test 8
249real time : 0.017 secs
250run time : 0.000 secs
251VALUES--> (NIL)
252
253EVAL> (SETF FL (PARSE-STRING-TO-SORTED-ALIST "[a^2*x+5*a]" '(X A)))
254real time : 0.017 secs
255run time : 0.017 secs
256VALUES--> (((((1 2) . 1) ((0 1) . 5))))
257
258EVAL> (SETF CFL (MAKE-COLORED-POLY-LIST FL 1))
259real time : 0.000 secs
260run time : 0.000 secs
261VALUES--> (((((1) (((2) . 1)) . :WHITE) ((0) (((1) . 5)) . :WHITE))))
262
263EVAL> (COND-SYSTEM-PRINT (DETERMINE CFL) '(X) '(A))
264Condition:
265 Green list: [ ]
266 Red list: [ A^2 ]
267 Basis: [ (A^2) * X + (5 * A) ]
268Condition:
269 Green list: [ A^2 ]
270 Red list: [ ]
271 Basis: [ ]
272real time : 0.100 secs
273run time : 0.000 secs
274VALUES--> NIL
275
276EVAL> (WARN "Test 9 - the discriminant of a quadratic polynomial")
277Warning: Test 9 - the discriminant of a quadratic polynomial
278real time : 0.000 secs
279run time : 0.000 secs
280VALUES--> (NIL)
281
282EVAL> (STRING-GROBNER-SYSTEM "[a*x^2+b*x+c,2*a*x+b]" '(X) '(A B C)
283 :COVER (LIST (LIST "[]" "[a]")))
284Condition:
285 Green list: [ ]
286 Red list: [ A, 4 * A * C - B^2 ]
287 Basis: [ (4 * A * C - B^2) ]
288Condition:
289 Green list: [ 4 * A * C - B^2 ]
290 Red list: [ A ]
291 Basis: [ (2 * A) * X + (B) ]
292real time : 0.267 secs
293run time : 0.100 secs
294VALUES--> NIL
295
296EVAL> (WARN "Test 10 - the discriminant of a cubic polynomial")
297Warning: Test 10 - the discriminant of a cubic polynomial
298real time : 0.017 secs
299run time : 0.000 secs
300VALUES--> (NIL)
301
302EVAL> (STRING-GROBNER-SYSTEM "[x^3+p*x+q,3*x^2+p]" '(X) '(P Q) :COVER
303 (LIST (LIST "[]" "[]")))
304Condition:
305 Green list: [ ]
306 Red list: [ P, 4 * P^3 + 27 * Q^2 ]
307 Basis: [ ( - 4 * P^3 - 27 * Q^2) ]
308Condition:
309 Green list: [ 4 * P^3 + 27 * Q^2 ]
310 Red list: [ P ]
311 Basis: [ (2 * P) * X + (3 * Q) ]
312Condition:
313 Green list: [ P ]
314 Red list: [ Q ]
315 Basis: [ (3 * Q) ]
316Condition:
317 Green list: [ P, Q ]
318 Red list: [ ]
319 Basis: [ (3) * X^2 ]
320real time : 0.533 secs
321run time : 0.133 secs
322VALUES--> NIL
323
324EVAL> (WARN "Test 11 - the discriminant of a quartic polynomial")
325Warning: Test 11 - the discriminant of a quartic polynomial
326real time : 0.000 secs
327run time : 0.000 secs
328VALUES--> (NIL)
329
330EVAL> (STRING-GROBNER-SYSTEM "[x^4+p*x^2+q*x+r,4*x^3+2*p*x+q]" '(X)
331 '(P Q R) :COVER (LIST (LIST "[]" "[]")))
332Condition:
333 Green list: [ ]
334 Red list: [ 16 * P^4 * R^2 - 4 * P^3 * Q^2 * R - 128 * P^2 * R^3 + 144 * P * Q^2 * R^2 - 27 * Q^4 * R + 256 * R^4, P, P^2 * Q + 12 * Q * R ]
335 Basis: [ (64 * P^5 * R^2 - 16 * P^4 * Q^2 * R - 512 * P^3 * R^3 + 576 * P^2 * Q^2 * R^2 - 108 * P * Q^4 * R + 1024 * P * R^4) ]
336Condition:
337 Green list: [ R ]
338 Red list: [ 4 * P^3 + 27 * Q^2, P, Q ]
339 Basis: [ ( - 4 * P^5 * Q^2 - 27 * P^2 * Q^4) ]
340Condition:
341 Green list: [ 16 * P^4 * R - 4 * P^3 * Q^2 - 128 * P^2 * R^2 + 144 * P * Q^2 * R - 27 * Q^4 + 256 * R^3 ]
342 Red list: [ P, P^2 * Q + 12 * Q * R ]
343 Basis: [ (2 * P^2 * Q + 24 * Q * R) * X + ( - 8 * P^2 * R + 3 * P * Q^2 + 32 * R^2) ]
344Condition:
345 Green list: [ P^2 * Q + 12 * Q * R ]
346 Red list: [ P, 8 * P^2 * R - 3 * P * Q^2 - 32 * R^2 ]
347 Basis: [ ( - 8 * P^2 * R + 3 * P * Q^2 + 32 * R^2) ]
348Condition:
349 Green list: [ R, Q ]
350 Red list: [ P ]
351 Basis: [ ( - 2 * P^3) * X ]
352Condition:
353 Green list: [ P^2 * Q + 12 * Q * R, 8 * P^2 * R - 3 * P * Q^2 - 32 * R^2, 3 * P * Q^3 + 128 * Q * R^2, 32 * P * Q * R - 9 * Q^3, 27 * Q^5 + 4096 * Q * R^3, 2 * P^3 - 8 * P * R + 9 * Q^2 ]
354 Red list: [ P ]
355 Basis: [ (2 * P) * X^2 + (3 * Q) * X + (4 * R) ]
356Condition:
357 Green list: [ P ]
358 Red list: [ R, Q ]
359 Basis: [ (Q^2 * R) ]
360Condition:
361 Green list: [ P, R ]
362 Red list: [ Q ]
363 Basis: [ (54 * Q^4) ]
364Condition:
365 Green list: [ P, Q ]
366 Red list: [ R ]
367 Basis: [ (4 * R) ]
368Condition:
369 Green list: [ P, Q, R ]
370 Red list: [ ]
371 Basis: [ (4) * X^3 ]
372real time : 5.333 secs
373run time : 2.667 secs
374VALUES--> NIL
375
376EVAL> (DRIBBLE)
Note: See TracBrowser for help on using the repository browser.