fieker-DuValspielwiese
Last change
on this file since 8d73ea was
54f622b,
checked in by Hans Schönemann <hannes@…>, 19 years ago
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*hannes?lossen: new lib, tst
git-svn-id: file:///usr/local/Singular/svn/trunk@7828 2c84dea3-7e68-4137-9b89-c4e89433aadc
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-
Property mode set to
100644
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File size:
1.3 KB
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1 | // File: primitiv_s.tst |
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2 | // Short tests for primitiv lib |
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3 | LIB "tst.lib"; |
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4 | tst_init(); |
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5 | LIB "primitiv.lib"; |
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6 | // ------------ test of primitive: ------------------- |
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7 | printlevel=3; |
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8 | ring r=0,x,dp; |
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9 | primitive(ideal(x2+1)); |
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10 | kill r; |
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11 | ring r=0,(x,y),dp; |
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12 | ideal i=x2-2,y2-3; |
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13 | ideal j=primitive(i); |
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14 | factorize(j[1]); |
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15 | ring r1=(0,a),x,lp; |
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16 | map phi=r,x,a; |
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17 | string s=string(phi(j)[1]); |
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18 | execute("minpoly="+s+";"); |
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19 | ideal v=phi(j)[1],phi(j)[2]^2-2,phi(j)[3]^2-3; |
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20 | v; |
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21 | if (size(v)>0) |
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22 | { "ERROR!!! Result of primitive(i) is not a primitive element!"; } |
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23 | // else minpoly(a)==0, g_1(a) is squareroot of 2, g_2(a) is squareroot of 3 |
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24 | // as it should be |
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25 | setring r; |
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26 | i=x2-3,y2-x; |
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27 | primitive(i); |
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28 | kill r; |
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29 | ring r=3,(x,y,z),dp; |
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30 | ideal i=x2+1,y3-y-1,z2+yz-1; |
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31 | primitive(i); |
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32 | // ------------ test of primitive_extra: ------------- |
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33 | primitive_extra(i); |
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34 | primitive_extra(ideal(i[1],i[2])); |
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35 | kill r; |
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36 | // ------------ test of splitring: ------------------- |
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37 | ring r=0,(x,y),ds; |
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38 | def R1=splitring(x2-5); |
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39 | R1; |
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40 | setring R1; |
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41 | def R2=splitring(x2-7,a); |
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42 | setring R2; |
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43 | erg[1]^2; |
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44 | R2; |
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45 | def RR=splitring(y2+1,a); |
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46 | RR; |
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47 | kill r,R1,R2,RR; |
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48 | ring r=(2003,j),(a,b,c,d),dp; |
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49 | minpoly=j2-2; |
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50 | def R1=splitring(b3+b2+b-2,list(a,b,c,d,j)); |
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51 | setring R1; |
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52 | erg; |
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53 | number(erg[5])^2; |
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54 | factorize(b3+b2+b-2); |
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55 | def RR=splitring(c2-2j,list(a2+ja,j,erg[5])); |
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56 | setring RR; |
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57 | erg[3]^2; |
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58 | kill R1,r,RR; |
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59 | tst_status(1);$ |
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60 | |
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