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on this file since 4392 was 4392, checked in by Marek Rychlik, 9 years ago |
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2 | ;;poly_grobner([x^3-x^2+2,y-2*x^2+1,z-3*x+5],[x,y,z]);
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3 | ;;[x^3-x^2+2,y-2*x^2+1,z-3*x+5,2*z^2+20*z-9*y+41,(-z^3)-12*z^2-45*z-104]
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4 |
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5 | (in-package :5am-buchberger)
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6 | (proclaim '(special fl ref-gb sp sp-rem))
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7 |
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8 | (setf grobner-debug::$poly_grobner_debug nil)
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9 |
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10 | (setf fl (cdr (string->poly "[x^3-x^2+2,y-2*x^2+1,z-3*x+5]" '(x y z)))
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11 | ref-gb (cdr (string->poly "[x^3-x^2+2,y-2*x^2+1,z-3*x+5,2*z^2+20*z-9*y+41,(-z^3)-12*z^2-45*z-104]" '(x y z))))
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12 |
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13 | (format t "~%")
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14 | (format t "FL --> ~A~%" (poly->string (cons :[ fl)))
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15 | (format t "REF-GB --> ~A~%" (poly->string (cons :[ ref-gb)))
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16 |
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17 | (loop for i from 0 below (length fl)
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18 | do
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19 | (loop for j from (1+ i) below (length fl)
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20 | do
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21 | (setf sp (s-polynomial (elt fl i) (elt fl j)))
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22 | (format t "SPOLY(~A,~A) --> ~A~%" (poly->string (elt fl i)) (poly->string (elt fl j)) (poly->string sp))
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23 | (setf sp-rem (normal-form sp fl))
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24 | (format t "NORMAL-FORM(~A,~A) --> ~A~%" (poly->string sp-rem) (poly->string (cons :[ fl)) (poly->string sp-rem))
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25 | )
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26 | )
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27 |
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28 |
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29 | ;;(setf gb (buchberger fl))
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