[0bfec5] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /* |
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| 5 | *Dense Integer Polynomials |
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| 6 | */ |
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| 7 | //Schauen was hier ÃŒberhaupt sinn macht |
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[ba5e9e] | 8 | #include "libpolysconfig.h" |
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[0bfec5] | 9 | #include <misc/auxiliary.h> |
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| 10 | |
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| 11 | #include <factory/factory.h> |
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| 12 | |
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| 13 | #include <string.h> |
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| 14 | #include <omalloc/omalloc.h> |
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| 15 | #include <coeffs/coeffs.h> |
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| 16 | #include <reporter/reporter.h> |
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| 17 | #include <coeffs/numbers.h> |
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| 18 | #include <coeffs/longrat.h> |
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| 19 | #include <coeffs/modulop.h> |
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| 20 | #include <coeffs/mpr_complex.h> |
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| 21 | #include <misc/mylimits.h> |
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| 22 | #include <coeffs/OPAEQ.h> |
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| 23 | #include <coeffs/AEQ.h> |
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| 24 | |
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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 | // DEFINITION DER FUNKTIONEN |
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| 30 | |
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| 31 | number nAEQAdd(number a, number b,const coeffs r) |
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| 32 | { |
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| 33 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 34 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 35 | Q_poly *res=new Q_poly; |
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| 36 | res->Q_poly_set(*f); |
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| 37 | res->Q_poly_add_to(*g); |
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| 38 | return (number) res; |
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| 39 | } |
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| 40 | |
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| 41 | number nAEQMult(number a, number b,const coeffs r) |
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| 42 | { |
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| 43 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 44 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 45 | Q_poly *res=new Q_poly; |
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| 46 | res->Q_poly_set(*f); |
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| 47 | res->Q_poly_mult_n_to(*g); |
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| 48 | return (number) res; |
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| 49 | } |
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| 50 | |
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| 51 | number nAEQSub(number a, number b,const coeffs r) |
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| 52 | { |
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| 53 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 54 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 55 | Q_poly *res=new Q_poly; |
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| 56 | res->Q_poly_set(*f); |
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| 57 | res->Q_poly_sub_to(*g); |
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| 58 | return (number) res; |
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| 59 | } |
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| 60 | |
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| 61 | |
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| 62 | number nAEQDiv(number a, number b,const coeffs r) |
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| 63 | { |
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| 64 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 65 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 66 | Q_poly *res=new Q_poly; |
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| 67 | Q_poly *s=new Q_poly; |
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| 68 | res->Q_poly_set(*f); |
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| 69 | res->Q_poly_div_to(*res,*s,*g); |
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| 70 | return (number) res; |
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| 71 | } |
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| 72 | |
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| 73 | |
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| 74 | number nAEQIntDiv(number a, number b,const coeffs r) |
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| 75 | { |
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| 76 | |
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| 77 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 78 | mpz_t* i= reinterpret_cast<mpz_t*> (b); |
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| 79 | Q_poly *res=new Q_poly; |
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| 80 | res->Q_poly_set(*f); |
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| 81 | res->Q_poly_scalar_div_to(*i); |
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| 82 | return (number) res; |
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| 83 | } |
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| 84 | |
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| 85 | number nAEQIntMod(number a, number b,const coeffs r) |
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| 86 | { |
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| 87 | return a; |
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| 88 | } |
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| 89 | |
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| 90 | number nAEQExactDiv(number a, number b,const coeffs r) |
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| 91 | { |
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| 92 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 93 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 94 | Q_poly *res=new Q_poly; |
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| 95 | Q_poly *s=new Q_poly; |
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| 96 | res->Q_poly_set(*f); |
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| 97 | res->Q_poly_div_to(*res,*s,*g); |
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| 98 | return (number) res; |
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| 99 | } |
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| 100 | |
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| 101 | |
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| 102 | |
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| 103 | number nAEQInit(long i, const coeffs r) |
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| 104 | { |
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| 105 | number res = (number) i; |
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| 106 | return res; |
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| 107 | } |
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| 108 | |
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| 109 | number nAEQInitMPZ(mpz_t m, const coeffs r) |
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| 110 | { |
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| 111 | number res= (number) m; |
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| 112 | return res; |
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| 113 | } |
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| 114 | |
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| 115 | int nAEQSize (number a,const coeffs r) |
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| 116 | { |
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| 117 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 118 | return f->deg; |
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| 119 | } |
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| 120 | |
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| 121 | int nAEQInt(number &a,const coeffs r) |
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| 122 | { |
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| 123 | return 1; |
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| 124 | } |
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| 125 | |
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| 126 | |
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| 127 | number nAEQMPZ(number a,const coeffs r) |
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| 128 | { |
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| 129 | return a; |
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| 130 | } |
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| 131 | |
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| 132 | |
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| 133 | number nAEQNeg(number c, const coeffs r) |
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| 134 | { |
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| 135 | Q_poly* f=reinterpret_cast<Q_poly*> (c); |
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| 136 | Q_poly *res=new Q_poly; |
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| 137 | res->Q_poly_set(*f); |
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| 138 | res->Q_poly_neg(); |
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| 139 | return (number) res; |
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| 140 | } |
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| 141 | |
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| 142 | number nAEQCopy(number c, const coeffs r) |
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| 143 | { |
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| 144 | return (number) c; |
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| 145 | } |
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| 146 | |
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| 147 | number nAEQRePart(number c, const coeffs r) |
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| 148 | { |
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| 149 | return (number) c; |
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| 150 | } |
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| 151 | |
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| 152 | number nAEQImPart(number c, const coeffs r) |
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| 153 | { |
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| 154 | return (number) c; |
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| 155 | } |
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| 156 | |
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| 157 | void nAEQWriteLong (number &a, const coeffs r) |
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| 158 | { |
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| 159 | return; |
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| 160 | } |
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| 161 | |
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| 162 | void nAEQWriteShort (number &a, const coeffs r) |
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| 163 | { |
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| 164 | return ; |
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| 165 | } |
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| 166 | |
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| 167 | |
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| 168 | const char * nAEQRead (const char *s, number *a,const coeffs r) |
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| 169 | { |
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| 170 | return ""; |
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| 171 | } |
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| 172 | |
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| 173 | number nAEQNormalize (number a,number b,const coeffs r) // ? |
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| 174 | { |
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| 175 | return a; |
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| 176 | } |
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| 177 | |
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| 178 | BOOLEAN nAEQGreater (number a, number b,const coeffs r) |
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| 179 | { |
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| 180 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 181 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 182 | if (f->deg > g->deg) {return FALSE;} |
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| 183 | else {return TRUE;} |
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| 184 | } |
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| 185 | |
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| 186 | BOOLEAN nAEQEqual (number a, number b,const coeffs r) |
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| 187 | { |
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| 188 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 189 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 190 | if (f->is_equal(*g) == 1) {return FALSE;} |
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| 191 | else {return TRUE;} |
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| 192 | } |
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| 193 | |
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| 194 | BOOLEAN nAEQIsZero (number a,const coeffs r) |
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| 195 | { |
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| 196 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 197 | if (f->is_zero() == 1) {return FALSE;} |
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| 198 | else {return TRUE;} |
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| 199 | } |
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| 200 | |
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| 201 | BOOLEAN nAEQIsOne (number a,const coeffs r) |
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| 202 | { |
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| 203 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 204 | if (f->is_one() == 1) {return FALSE;} |
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| 205 | else {return TRUE;} |
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| 206 | } |
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| 207 | |
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| 208 | BOOLEAN nAEQIsMOne (number a,const coeffs r) |
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| 209 | { |
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| 210 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 211 | if (f->is_one() == 1) {return FALSE;} |
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| 212 | else {return TRUE;} |
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| 213 | } |
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| 214 | |
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| 215 | BOOLEAN nAEQGreaterZero (number a, const coeffs r) |
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| 216 | { |
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| 217 | if (nAEQIsZero(a,r) == FALSE) { return TRUE; } |
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| 218 | else { return FALSE; } |
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| 219 | } |
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| 220 | |
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| 221 | void nAEQPower (number a, int i, number * result,const coeffs r) |
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| 222 | { |
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| 223 | return; |
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| 224 | } |
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| 225 | |
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| 226 | number nAEQGetDenom (number &a, const coeffs r) |
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| 227 | { |
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| 228 | return (number) 1; |
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| 229 | } |
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| 230 | |
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| 231 | number nAEQGetNumerator (number &a, const coeffs r) |
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| 232 | { |
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| 233 | return a; |
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| 234 | } |
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| 235 | |
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| 236 | number nAEQGcd (number a,number b,const coeffs r) |
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| 237 | { |
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| 238 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 239 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 240 | Q_poly *res=new Q_poly; |
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| 241 | res->Q_poly_gcd(*f,*g); |
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| 242 | return (number) res; |
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| 243 | } |
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| 244 | |
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| 245 | number nAEQLcm (number a,number b,const coeffs r) |
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| 246 | { |
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| 247 | Q_poly* f=reinterpret_cast<Q_poly*> (a); |
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| 248 | Q_poly* g=reinterpret_cast<Q_poly*> (b); |
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| 249 | Q_poly *gcd=new Q_poly; |
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| 250 | Q_poly *res=new Q_poly; |
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| 251 | Q_poly *s=new Q_poly; |
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| 252 | gcd->Q_poly_gcd(*f,*g); |
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| 253 | res->Q_poly_mult_n(*f,*g); |
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| 254 | res->Q_poly_div_to(*res,*s,*gcd); |
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| 255 | return (number) res; |
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| 256 | } |
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| 257 | |
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| 258 | void nAEQDelete (number *a, const coeffs r) |
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| 259 | { |
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| 260 | return; |
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| 261 | } |
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| 262 | |
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| 263 | /* |
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| 264 | number nAEQSetMap (number a, const coeffs r) |
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| 265 | { |
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| 266 | return a; |
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| 267 | } |
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| 268 | */ |
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| 269 | char* nAEQName (number a, const coeffs r) |
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| 270 | { |
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| 271 | char* c=new char; |
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| 272 | *c='c'; |
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| 273 | |
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| 274 | return c; |
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| 275 | } |
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| 276 | |
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| 277 | void nAEQInpMult (number &a, number b,const coeffs r) |
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| 278 | { |
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| 279 | return ; |
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| 280 | } |
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| 281 | |
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| 282 | void nAEQCoeffWrite (const coeffs r, BOOLEAN details) |
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| 283 | { |
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| 284 | return; |
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| 285 | } |
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| 286 | |
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| 287 | BOOLEAN nAEQClearContent (number a,const coeffs r) |
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| 288 | { |
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| 289 | return FALSE; |
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| 290 | } |
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| 291 | |
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| 292 | BOOLEAN nAEQClearDenominators (number a,const coeffs r) |
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| 293 | { |
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| 294 | return FALSE; |
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| 295 | } |
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| 296 | |
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| 297 | |
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| 298 | |
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| 299 | //INITIALISIERUNG FÃR SINGULAR |
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| 300 | |
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| 301 | |
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| 302 | BOOLEAN n_QAEInitChar(coeffs r,void *p) // vlt noch void* p hin |
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| 303 | { |
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| 304 | |
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| 305 | |
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| 306 | |
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| 307 | r->ch=0; |
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| 308 | r->cfKillChar=NULL; |
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| 309 | r->nCoeffIsEqual=ndCoeffIsEqual; |
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| 310 | r->cfMult = nAEQMult; |
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| 311 | r->cfSub = nAEQSub; |
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| 312 | r->cfAdd = nAEQAdd; |
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| 313 | r->cfDiv = nAEQDiv; |
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| 314 | r->cfIntDiv= nAEQIntDiv; |
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| 315 | r->cfIntMod= nAEQIntMod; |
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| 316 | r->cfExactDiv= nAEQExactDiv; |
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| 317 | r->cfInit = nAEQInit; |
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| 318 | r->cfSize = nAEQSize; |
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| 319 | r->cfInt = nAEQInt; |
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| 320 | #ifdef HAVE_RINGS |
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| 321 | //r->cfDivComp = NULL; // only for ring stuff |
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| 322 | //r->cfIsUnit = NULL; // only for ring stuff |
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| 323 | //r->cfGetUnit = NULL; // only for ring stuff |
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| 324 | //r->cfExtGcd = NULL; // only for ring stuff |
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| 325 | // r->cfDivBy = NULL; // only for ring stuff |
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| 326 | #endif |
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| 327 | r->cfNeg = nAEQNeg; |
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| 328 | r->cfInvers= NULL; |
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| 329 | //r->cfCopy = ndCopy; |
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| 330 | //r->cfRePart = ndCopy; |
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| 331 | //r->cfImPart = ndReturn0; |
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| 332 | r->cfWriteLong = nAEQWriteLong; |
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| 333 | r->cfRead = nAEQRead; |
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| 334 | //r->cfNormalize=ndNormalize; |
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| 335 | r->cfGreater = nAEQGreater; |
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| 336 | r->cfEqual = nAEQEqual; |
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| 337 | r->cfIsZero = nAEQIsZero; |
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| 338 | r->cfIsOne = nAEQIsOne; |
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| 339 | r->cfIsMOne = nAEQIsOne; |
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| 340 | r->cfGreaterZero = nAEQGreaterZero; |
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| 341 | r->cfPower = nAEQPower; // ZU BEARBEITEN |
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| 342 | r->cfGetDenom = nAEQGetDenom; |
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| 343 | r->cfGetNumerator = nAEQGetNumerator; |
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| 344 | r->cfGcd = nAEQGcd; |
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| 345 | r->cfLcm = nAEQLcm; // ZU BEARBEITEN |
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| 346 | r->cfDelete= nAEQDelete; |
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| 347 | r->cfSetMap = npSetMap; |
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| 348 | r->cfName = nAEQName; |
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| 349 | r->cfInpMult=nAEQInpMult; //???? |
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| 350 | r->cfInit_bigint= NULL; // nAEQMap0; |
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| 351 | r->cfCoeffWrite=nAEQCoeffWrite; //???? |
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| 352 | |
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| 353 | |
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| 354 | // the variables: |
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| 355 | r->nNULL = (number) 0; |
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| 356 | //r->type = n_AE; |
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| 357 | r->has_simple_Alloc=TRUE; |
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| 358 | r->has_simple_Inverse=TRUE; |
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| 359 | return FALSE; |
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| 360 | } |
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| 361 | |
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