1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | // |
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4 | // test script for intersect command |
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5 | // |
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6 | ring r1 = 32003,(x,y,z),(c,ds); |
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7 | r1; |
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8 | "-------------------------------"; |
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9 | poly s1=x2y3+45x6y3+68x4z5+80y6x8; |
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10 | poly s2=6x5+3y6+8z6; |
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11 | poly s3=12xyz3+2y3z6; |
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12 | ideal i1=s1,s2,s3; |
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13 | ideal i2=s1+s2,s2,s1; |
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14 | vector v1=[s1,s2,s2*s3]+s1*gen(5); |
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15 | vector v2=[s1-s2,s3,s2]+s1*gen(5); |
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16 | module m1=v1,v2; |
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17 | module m2=v2,2*v1; |
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18 | intersect(i1,i2); |
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19 | "-------------------------"; |
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20 | intersect(m1,m2); |
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21 | "-------------------------"; |
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22 | listvar(all); |
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23 | kill r1; |
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24 | "--------------------------"; |
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25 | ring r1=0,(x,y,z),(c,ds); |
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26 | poly s1=x2y3+45x6y3+68x4z5+80y6x8; |
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27 | poly s2=6x5+3y6+8z6; |
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28 | poly s3=12xyz3+2y3z6; |
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29 | ideal i1=s1,s2,s3; |
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30 | ideal i2=s1+s2,s2,s1; |
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31 | vector v1=[s1,s2,s2*s3]+s1*gen(5); |
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32 | vector v2=[s1-s2,s3,s2]+s1*gen(5); |
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33 | module m1=v1,v2; |
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34 | module m2=v2,2*v1; |
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35 | intersect(i1,i2); |
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36 | "-------------------------"; |
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37 | intersect(m1,m2); |
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38 | "-------------------------"; |
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39 | listvar(all); |
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40 | intersect(x,y,z); |
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41 | intersect(ideal(x),ideal(y),ideal(z2),ideal(z)); |
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42 | intersect(x,y,z2,z); |
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43 | kill r1; |
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44 | // |
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45 | // test script for intersect command |
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46 | // |
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47 | ring r1 = 32003,(x,y,z),(c,ds); |
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48 | r1; |
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49 | "-------------------------------"; |
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50 | poly s1=x2y3+45x6y3+68x4z5+80y6x8; |
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51 | poly s2=6x5+3y6+8z6; |
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52 | poly s3=12xyz3+2y3z6; |
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53 | ideal i1=s1,s2,s3; |
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54 | ideal i2=s1+s2,s2,s1; |
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55 | vector v1=[s1,s2,s2*s3]+s1*gen(5); |
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56 | vector v2=[s1-s2,s3,s2]+s1*gen(5); |
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57 | module m1=v1,v2; |
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58 | module m2=v2,2*v1; |
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59 | intersect(i1,i2,1); |
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60 | "-------------------------"; |
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61 | intersect(m2,freemodule(5),m1); |
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62 | intersect(m2); |
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63 | "-------------------------"; |
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64 | listvar(all); |
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65 | kill r1; |
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66 | "--------------------------"; |
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67 | ring r1=0,(x,y,z),(c,ds); |
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68 | poly s1=x2y3+45x6y3+68x4z5+80y6x8; |
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69 | poly s2=6x5+3y6+8z6; |
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70 | poly s3=12xyz3+2y3z6; |
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71 | ideal i1=s1,s2,s3; |
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72 | ideal i2=s1+s2,s2,s1; |
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73 | vector v1=[s1,s2,s2*s3]+s1*gen(5); |
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74 | vector v2=[s1-s2,s3,s2]+s1*gen(5); |
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75 | module m1=v1,v2; |
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76 | module m2=v2,2*v1; |
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77 | intersect(1,i1,i2); |
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78 | "-------------------------"; |
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79 | intersect(m1,m2,freemodule(5)); |
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80 | "-------------------------"; |
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81 | listvar(all); |
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82 | kill r1; |
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83 | ring r=181,(x,y,z),(c,ls); |
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84 | ideal id1=maxideal(3); |
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85 | id1; |
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86 | ideal id2=x2+xyz,y2-z3y,z3+y5xz; |
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87 | id2; |
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88 | ideal id3=intersect(id1,id2); |
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89 | id3; |
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90 | ring rr=32003 ,(x, y),dp; |
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91 | ideal i=x; |
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92 | ideal j=y; |
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93 | ideal k=intersect(i,j); |
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94 | k; |
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95 | kill rr; |
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96 | ring r=0,(x,y,z),(c,lp); |
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97 | vector v(1)=[xy+y2,x,1]; |
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98 | vector v(2)=[x2+z2,x-y,0,1]; |
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99 | vector v(3)=[xz,y,0,0,1]; |
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100 | module M=v(1),v(2),v(3); |
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101 | module Ms=std(M); |
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102 | Ms; |
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103 | module N=gen(3),gen(4),gen(5); |
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104 | module NN; |
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105 | intersect(Ms,N); |
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106 | intersect(Ms,NN); |
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107 | intersect(Ms,NN,N); |
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108 | kill r; |
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109 | |
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110 | tst_status(1);$; |
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