| 1 | // |
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| 2 | // test script for bareiss command |
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| 3 | // |
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| 4 | pagelength = 10000; |
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| 5 | ring r = 0,(x,y,z),dp; |
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| 6 | r; |
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| 7 | matrix m1[3][3]=x,2,3,2,3x,4,1,3,2x; |
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| 8 | m1; |
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| 9 | list mm1=bareiss(m1); |
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| 10 | mm1; |
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| 11 | vector vdet=mm1[1][3]; |
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| 12 | poly pdet=det(m1); |
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| 13 | if(leadcoef(pdet)!=leadcoef(vdet)) |
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| 14 | { |
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| 15 | vdet+pdet*gen(3); |
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| 16 | } |
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| 17 | else |
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| 18 | { |
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| 19 | "error"; |
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| 20 | vdet-pdet*gen(3); |
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| 21 | } |
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| 22 | "------------------------------------"; |
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| 23 | // |
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| 24 | matrix m2[5][6]=0,2,1,-3,12,-9,1,2,5,3,6,-1,2,4,10,6,12,-2,-3,2,1; |
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| 25 | list mm2=bareiss(m2); |
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| 26 | print(mm2[1]); |
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| 27 | "------------------------------------"; |
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| 28 | // |
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| 29 | matrix m3[3][4]=xy,0,x2z,1,z2y,y2z21,0,1,zx3,1,0,z3y3; |
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| 30 | list mm3=bareiss(m3); |
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| 31 | mm3; |
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| 32 | print(mm3[1]); |
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| 33 | "-------------------------------------"; |
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| 34 | // |
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| 35 | poly s1 = 2x3y2+23x5y+104xy6+56z2x; |
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| 36 | poly s2 = 3/2x3y2-2/3z6y4+12x2z4; |
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| 37 | poly s3 = -2x4y5+x4z5; |
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| 38 | poly s4 = 7/8x7y3z-1; |
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| 39 | poly s5 = 4x2y3-2x2y2; |
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| 40 | poly s6 = 1/2y2x3+4x2z2; |
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| 41 | poly s7 = x+y+z; |
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| 42 | poly s8 = x2+y2+z2; |
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| 43 | poly s9 = xz+xy+yz; |
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| 44 | matrix m4[3][3]=s1,0,s3,1,s5,0,s7,s8,s9; |
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| 45 | m4; |
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| 46 | list mm4=bareiss(m4); |
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| 47 | mm4; |
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| 48 | vector vdet=mm4[1][3]; |
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| 49 | poly pdet=det(m4); |
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| 50 | if(leadcoef(pdet)!=leadcoef(vdet)) |
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| 51 | { |
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| 52 | vdet+pdet*gen(3); |
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| 53 | } |
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| 54 | else |
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| 55 | { |
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| 56 | "error"; |
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| 57 | vdet-pdet*gen(3); |
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| 58 | } |
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| 59 | "---------------------------------------"; |
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| 60 | // |
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| 61 | matrix m5[3][2]=s8,s7,s9,s6,s5,0; |
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| 62 | module mm=m5; |
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| 63 | list mm5=bareiss(mm); |
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| 64 | print(mm5[1]); |
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| 65 | kill r; |
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| 66 | "-------------------------------------"; |
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| 67 | ring r1=0,(x(1..9)),(dp); |
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| 68 | matrix m6[3][3]=maxideal(1); |
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| 69 | list mm6=bareiss(m6); |
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| 70 | print(mm6[1]); |
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| 71 | vector p1=mm6[1][3]; |
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| 72 | poly p2=det(m6); |
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| 73 | if(leadcoef(p1)!=leadcoef(p2)) |
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| 74 | { |
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| 75 | p1+p2*gen(3); |
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| 76 | } |
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| 77 | else |
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| 78 | { |
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| 79 | p1-p2*gen(3); |
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| 80 | } |
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| 81 | "--------------------------------------"; |
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| 82 | ring r2=0,(x(1..12)),ds; |
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| 83 | matrix m7[3][4]= maxideal(1); |
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| 84 | print(m7); |
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| 85 | list mm7=bareiss(m7); |
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| 86 | print(mm7[1]); |
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| 87 | "--------------------------------------"; |
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| 88 | matrix m8[4][3]=maxideal(1); |
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| 89 | print(m8); |
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| 90 | list mm8=bareiss(m8); |
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| 91 | print(mm8[1]); |
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| 92 | "--------------------------------------"; |
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| 93 | matrix m9[4][4]=maxideal(2); |
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| 94 | print(m9); |
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| 95 | list mm9=bareiss(m9); |
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| 96 | mm9; |
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| 97 | "------------------------------------"; |
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| 98 | matrix m11[5][5]=maxideal(1),maxideal(1); |
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| 99 | print(m11); |
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| 100 | list mm11=bareiss(m11); |
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| 101 | mm11; |
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| 102 | "-------------------------------------"; |
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| 103 | listvar(all); |
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| 104 | LIB "tst.lib";tst_status(1);$ |
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