| 1 | // File: primitiv_l.tst |
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| 2 | // Intensive 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 | ring r=0,x,dp; |
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| 8 | primitive(ideal(x2+1)); |
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| 9 | kill r; |
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| 10 | ring r=0,(x,y),dp; |
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| 11 | ideal i=x2-2,y2-3; |
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| 12 | ideal j=primitive(i); |
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| 13 | factorize(j[1]); |
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| 14 | ring r1=(0,a),x,lp; |
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| 15 | map phi=r,x,a; |
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| 16 | string s=string(phi(j)[1]); |
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| 17 | execute("minpoly="+s+";"); |
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| 18 | ideal v=phi(j)[1],phi(j)[2]^2-2,phi(j)[3]^2-3; |
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| 19 | v; |
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| 20 | if (size(v)>0) |
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| 21 | { "ERROR!!! Result of primitive(i) is not a primitive element!"; } |
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| 22 | // else minpoly(a)=0, g_1(a) is squareroot of 2, g_2(a) is squareroot of 3 |
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| 23 | // as it should be |
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| 24 | setring r; |
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| 25 | i=x2-3,y2-x; |
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| 26 | primitive(i); |
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| 27 | kill r; |
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| 28 | ring r=0,(x(0..3)),lp; |
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| 29 | int zeit=timer; |
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| 30 | ideal i=x(0)^2-2,x(1)^2-3,x(2)^3-x(0)^2+x(1),x(3)^2-x(2); |
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| 31 | primitive(i); |
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| 32 | tst_ignore(timer-zeit,"time"); |
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| 33 | kill r; |
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| 34 | ring r=0,(x,y),dp; |
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| 35 | poly f1=39x7+37x6+11x5+48x4+30x3+30x2+14x+49; |
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| 36 | poly f2=43x5y2+8x2y5+40x6+48y6+22x4y+7x2y3+7x2y2+16x3+49x2+x+12y+40; |
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| 37 | zeit=timer; |
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| 38 | ideal o=primitive(ideal(f1,f2)); |
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| 39 | tst_ignore(timer-zeit,"time"); |
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| 40 | tst_ignore(kmemory(),"memory"); |
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| 41 | "size of the result :",size(string(o)),"characters"; |
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| 42 | kill r; |
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| 43 | ring r=3,(x,y,z),dp; |
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| 44 | ideal i=x2+1,y3-y-1,z2+yz-1; |
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| 45 | primitive(i); |
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| 46 | kill r; |
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| 47 | // ------------ test of splitring: ------------------- |
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| 48 | ring r=2,a,Dp; |
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| 49 | splitring(a3+a+1,""); |
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| 50 | r; |
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| 51 | kill r; |
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| 52 | ring r=7,(a,b,c,d,e,n,o,p),Ds; |
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| 53 | splitring(a2+2,"never"); |
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| 54 | kill r; |
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| 55 | ring r=0,(x,y),ds; |
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| 56 | splitring(x2-5,"R1"); |
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| 57 | R1; |
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| 58 | list l=splitring(x2-7,"R2",a); |
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| 59 | l[1]^2; |
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| 60 | R2; |
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| 61 | splitring(y2+1,"",a); |
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| 62 | R2; |
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| 63 | kill r,R1,R2; |
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| 64 | ring r=(2003,j),(a,b,c,d),dp; |
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| 65 | minpoly=j2-2; |
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| 66 | list l=splitring(b3+b2+b-2,"R1",list(a,b,c,d,j)); |
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| 67 | l; |
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| 68 | number(l[5])^2; |
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| 69 | factorize(b3+b2+b-2); |
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| 70 | list L=splitring(c2-2j,"",list(a2+ja,j,l[5])); |
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| 71 | L; |
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| 72 | L[3]^2; |
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| 73 | kill R1,r; |
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| 74 | // ------------ test of randomLast: ------------------ |
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| 75 | example randomLast; |
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| 76 | $ |
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