Changeset 4478
- Timestamp:
- 2016-06-15T08:49:08-07:00 (9 years ago)
- File:
-
- 1 edited
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branches/f4grobner/5am-buchberger.lisp (modified) (1 diff)
Legend:
- Unmodified
- Added
- Removed
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branches/f4grobner/5am-buchberger.lisp
r4477 r4478 151 151 ) 152 152 153 ;; A tough example learned from Cox 154 ;; poly_grobner([x^5+y^4+z^3-1,x^3+y^3+z^2-1], [x,y,z]); 155 (def-fixture buchberger-cox-tough-context () 156 (let ((fl (cdr (string->poly "[x^5+y^4+z^3-1,x^3+y^3+z^2-1]" '(x y z)))) 157 (gb (cdr (string->poly "[z^3+y^4+x^5-1,z^2+y^3+x^3-1,z^3-x^2*z^2+y^4-x^2*y^3+x^2-1, 158 (-z^4)-x*z^3-2*y^3*z^2+2*z^2-y^6-x*y^4+2*y^3+x-1, 159 (-y^2*z^4)+x*z^4-x*y^2*z^3+y*z^3+x^2*z^3-2*y^5*z^2+2*x*y^3*z^2 160 +2*y^2*z^2-x^2*y*z^2-2*x*z^2-y^8+3*y^5-2*x*y^3+x*y^2-y^2 161 +x^2*y-y-x^2+x, 162 z^7+y^2*z^6+2*y*z^6+3*y^3*z^5+x*y^2*z^5+x*y*z^5-y*z^5-x^2*z^5-3*z^5 163 +2*y^5*z^4+5*y^4*z^4-x*y^3*z^4-x*y^2*z^4-2*y^2*z^4-6*y*z^4-x^2*z^4 164 -x*z^4+z^4+3*y^6*z^3-9*y^3*z^3+x*y^2*z^3-y*z^3-x^2*z^3+4*z^3+y^8*z^2 165 +4*y^7*z^2-y^5*z^2-9*y^4*z^2+2*y^3*z^2+x*y^2*z^2-y^2*z^2-2*x*y*z^2 166 +7*y*z^2+3*x^2*z^2+x*z^2-3*z^2+y^9*z-5*y^6*z-x*y^3*z+5*y^3*z 167 -x^2*y^2*z+y^2*z+x^2*y*z-x*y*z+2*x*z-2*z+y^10+y^8-5*y^7+y^6-3*y^5 168 +4*y^4+2*x*y^3-y^3+x^2*y^2-2*x*y^2+y^2-x^2*y+2*x*y-y-2*x+2, 169 z^9+y^2*z^8+y*z^8+3*z^8+3*y^3*z^7+x*y^2*z^7+2*y^2*z^7-y*z^7-x^2*z^7 170 +2*x*z^7-3*z^7+2*y^5*z^6+3*y^4*z^6-x*y^3*z^6+9*y^3*z^6+x*y^2*z^6 171 -2*y^2*z^6-x*y*z^6-7*y*z^6-x^2*z^6-13*z^6+3*y^6*z^5+5*y^5*z^5 172 -7*y^3*z^5+x*y^2*z^5-9*y^2*z^5-2*x*y*z^5-x^2*z^5-3*x*z^5+z^5+y^8*z^4 173 +3*y^7*z^4+10*y^6*z^4-y^5*z^4-14*y^4*z^4-30*y^3*z^4-3*x*y^2*z^4 174 +y^2*z^4+4*x*y*z^4+14*y*z^4+6*x^2*z^4-3*x*z^4+22*z^4+y^9*z^3 175 +4*y^8*z^3-4*y^6*z^3-18*y^5*z^3+2*y^4*z^3+5*x*y^3*z^3+4*y^3*z^3 176 +14*y^2*z^3+x*y*z^3-y*z^3-x^2*z^3-2*x*z^3+y^10*z^2+5*y^9*z^2+y^8*z^2 177 -9*y^7*z^2-23*y^6*z^2+y^5*z^2+13*y^4*z^2-3*x*y^3*z^2+34*y^3*z^2 178 -4*x*y^2*z^2-3*y^2*z^2-x*y*z^2-7*y*z^2-2*x^2*z^2+8*x*z^2-13*z^2 179 +y^11*z-8*y^8*z+y^7*z+13*y^5*z-7*x*y^3*z+5*x*y^2*z-5*y^2*z+2*x^2*y*z 180 -x*y*z-y*z-2*x^2*z+3*x*z-z+y^12-y^10-7*y^9+2*y^8+5*y^7+14*y^6-3*y^5 181 -4*y^4+6*x*y^3-13*y^3-x*y^2+y^2-2*x^2*y+2*y+2*x^2-5*x+3, 182 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-80*y^11-80*y^10-80*y^9+80*y^8+128*y^7+128*y^6-32*y^5-32*y^4 1028 -80*y^3]" '(x y z)))))) 1029 (&body)) 1030 1031 (test buchberger-cox-tough 1032 "Buchberger algorithm - Cox tough example" 1033 (with-fixture buchberger-cox-tough-context () 1034 (is-true (grobner-test gb fl)) 1035 ;; NOTE: Cannot compare using SET-EXCLUSIVE-OR, as the Grobner basis 1036 ;; FL was computed using "sugar" strategy and is different from 1037 ;; the one obtained with BUCHBERGER, which uses the "normal" strategy. 1038 (is (grobner-equal (buchberger fl) gb)) 1039 ;;(is (every #'universal-equalp (parallel-buchberger fl) gb)) 1040 ) 1041 ) 1042 1043 153 1044 (run! 'buchberger-suite) 154 1045 (format t "All tests done!~%")
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