[9e2cf88] | 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 | * ABSTRACT: numbers (integers) |
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| 6 | */ |
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| 7 | |
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| 8 | |
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| 9 | #ifdef HAVE_RINGS |
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| 10 | #if SI_INTEGER_VARIANT == 2 |
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| 11 | |
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| 12 | #include "coeffs/si_gmp.h" |
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| 13 | |
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| 14 | /* |
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| 15 | * Multiply two numbers |
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| 16 | */ |
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| 17 | static number nrzMult (number a, number b, const coeffs) |
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| 18 | { |
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| 19 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 20 | mpz_init(erg); |
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| 21 | mpz_mul(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 22 | return (number) erg; |
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| 23 | } |
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| 24 | |
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| 25 | /* |
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| 26 | * Give the smallest non unit k, such that a * x = k = b * y has a solution |
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| 27 | */ |
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| 28 | static number nrzLcm (number a,number b,const coeffs) |
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| 29 | { |
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| 30 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 31 | mpz_init(erg); |
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| 32 | mpz_lcm(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 33 | return (number) erg; |
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| 34 | } |
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| 35 | |
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| 36 | /* |
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| 37 | * Give the largest non unit k, such that a = x * k, b = y * k has |
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| 38 | * a solution. |
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| 39 | */ |
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| 40 | static number nrzGcd (number a,number b,const coeffs) |
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| 41 | { |
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| 42 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 43 | mpz_init(erg); |
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| 44 | mpz_gcd(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 45 | return (number) erg; |
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| 46 | } |
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| 47 | |
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| 48 | /* |
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| 49 | * Give the largest non unit k, such that a = x * k, b = y * k has |
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| 50 | * a solution and r, s, s.t. k = s*a + t*b |
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| 51 | */ |
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| 52 | static number nrzExtGcd (number a, number b, number *s, number *t, const coeffs) |
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| 53 | { |
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| 54 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 55 | mpz_ptr bs = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 56 | mpz_ptr bt = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 57 | mpz_init(erg); |
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| 58 | mpz_init(bs); |
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| 59 | mpz_init(bt); |
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| 60 | mpz_gcdext(erg, bs, bt, (mpz_ptr) a, (mpz_ptr) b); |
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| 61 | *s = (number) bs; |
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| 62 | *t = (number) bt; |
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| 63 | return (number) erg; |
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| 64 | } |
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| 65 | |
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| 66 | static number nrzXExtGcd (number a, number b, number *s, number *t, number *u, number *v, const coeffs ) |
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| 67 | { |
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| 68 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 69 | mpz_ptr bs = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 70 | mpz_ptr bt = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 71 | mpz_init(erg); |
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| 72 | mpz_init(bs); |
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| 73 | mpz_init(bt); |
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| 74 | |
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| 75 | mpz_gcdext(erg, bs, bt, (mpz_ptr)a, (mpz_ptr)b); |
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| 76 | |
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| 77 | mpz_ptr bu = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 78 | mpz_ptr bv = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 79 | |
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| 80 | mpz_init_set(bu, (mpz_ptr) b); |
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| 81 | mpz_init_set(bv, (mpz_ptr) a); |
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| 82 | |
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| 83 | assume(mpz_cmp_si(erg, 0)); |
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| 84 | |
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| 85 | mpz_div(bu, bu, erg); |
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| 86 | mpz_div(bv, bv, erg); |
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| 87 | |
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| 88 | mpz_mul_si(bu, bu, -1); |
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| 89 | *u = (number) bu; |
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| 90 | *v = (number) bv; |
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| 91 | |
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| 92 | *s = (number) bs; |
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| 93 | *t = (number) bt; |
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| 94 | return (number) erg; |
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| 95 | } |
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| 96 | |
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| 97 | static void nrzPower (number a, int i, number * result, const coeffs) |
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| 98 | { |
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| 99 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 100 | mpz_init(erg); |
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| 101 | mpz_pow_ui(erg, (mpz_ptr) a, i); |
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| 102 | *result = (number) erg; |
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| 103 | } |
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| 104 | |
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| 105 | /* |
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| 106 | * create a number from int |
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| 107 | */ |
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| 108 | number nrzInit (long i, const coeffs) |
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| 109 | { |
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| 110 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 111 | mpz_init_set_si(erg, i); |
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| 112 | return (number) erg; |
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| 113 | } |
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| 114 | |
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| 115 | void nrzDelete(number *a, const coeffs) |
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| 116 | { |
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| 117 | if (*a != NULL) |
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| 118 | { |
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| 119 | mpz_clear((mpz_ptr) *a); |
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| 120 | omFreeBin((ADDRESS) *a, gmp_nrz_bin); |
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| 121 | *a = NULL; |
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| 122 | } |
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| 123 | } |
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| 124 | |
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| 125 | static number nrzCopy(number a, const coeffs) |
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| 126 | { |
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| 127 | if (a==NULL) return NULL; |
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| 128 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 129 | mpz_init_set(erg, (mpz_ptr) a); |
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| 130 | return (number) erg; |
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| 131 | } |
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| 132 | |
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| 133 | #if 0 |
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| 134 | number nrzCopyMap(number a, const coeffs /*src*/, const coeffs dst) |
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| 135 | { |
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| 136 | return nrzCopy(a,dst); |
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| 137 | } |
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| 138 | #endif |
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| 139 | |
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| 140 | int nrzSize(number a, const coeffs) |
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| 141 | { |
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| 142 | mpz_ptr p=(mpz_ptr)a; |
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| 143 | int s=p->_mp_alloc; |
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| 144 | if (s==1) s=(mpz_cmp_ui(p,0)!=0); |
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| 145 | return s; |
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| 146 | |
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| 147 | } |
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| 148 | |
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| 149 | /* |
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| 150 | * convert a number to int |
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| 151 | */ |
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| 152 | static long nrzInt(number &n, const coeffs) |
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| 153 | { |
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| 154 | return mpz_get_si( (mpz_ptr)n); |
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| 155 | } |
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| 156 | |
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| 157 | static number nrzAdd (number a, number b, const coeffs) |
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| 158 | { |
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| 159 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 160 | mpz_init(erg); |
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| 161 | mpz_add(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 162 | return (number) erg; |
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| 163 | } |
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| 164 | |
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| 165 | static number nrzSub (number a, number b, const coeffs) |
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| 166 | { |
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| 167 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 168 | mpz_init(erg); |
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| 169 | mpz_sub(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 170 | return (number) erg; |
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| 171 | } |
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| 172 | |
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| 173 | static number nrzGetUnit (number, const coeffs r) |
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| 174 | { |
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| 175 | return nrzInit(1, r); |
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| 176 | } |
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| 177 | |
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| 178 | static BOOLEAN nrzIsUnit (number a, const coeffs) |
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| 179 | { |
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| 180 | return 0 == mpz_cmpabs_ui((mpz_ptr) a, 1); |
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| 181 | } |
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| 182 | |
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| 183 | static BOOLEAN nrzIsZero (number a, const coeffs) |
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| 184 | { |
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| 185 | return 0 == mpz_cmpabs_ui((mpz_ptr) a, 0); |
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| 186 | } |
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| 187 | |
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| 188 | static BOOLEAN nrzIsOne (number a, const coeffs) |
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| 189 | { |
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| 190 | return (0 == mpz_cmp_ui((mpz_ptr) a, 1)); |
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| 191 | } |
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| 192 | |
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| 193 | static BOOLEAN nrzIsMOne (number a, const coeffs) |
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| 194 | { |
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| 195 | return (0 == mpz_cmp_si((mpz_ptr) a, -1)); |
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| 196 | } |
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| 197 | |
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| 198 | static BOOLEAN nrzEqual (number a,number b, const coeffs) |
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| 199 | { |
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| 200 | return 0 == mpz_cmp((mpz_ptr) a, (mpz_ptr) b); |
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| 201 | } |
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| 202 | |
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| 203 | static BOOLEAN nrzGreater (number a,number b, const coeffs) |
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| 204 | { |
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| 205 | return 0 < mpz_cmp((mpz_ptr) a, (mpz_ptr) b); |
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| 206 | } |
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| 207 | |
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| 208 | static BOOLEAN nrzGreaterZero (number k, const coeffs) |
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| 209 | { |
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| 210 | return 0 < mpz_sgn1((mpz_ptr) k); |
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| 211 | } |
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| 212 | |
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| 213 | static BOOLEAN nrzDivBy (number a,number b, const coeffs) |
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| 214 | { |
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| 215 | return mpz_divisible_p((mpz_ptr) a, (mpz_ptr) b) != 0; |
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| 216 | } |
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| 217 | |
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| 218 | static int nrzDivComp(number a, number b, const coeffs r) |
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| 219 | { |
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| 220 | if (nrzDivBy(a, b, r)) |
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| 221 | { |
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| 222 | if (nrzDivBy(b, a, r)) return 2; |
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| 223 | return -1; |
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| 224 | } |
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| 225 | if (nrzDivBy(b, a, r)) return 1; |
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| 226 | return 0; |
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| 227 | } |
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| 228 | |
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| 229 | static number nrzDiv (number a,number b, const coeffs) |
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| 230 | { |
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| 231 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 232 | mpz_init(erg); |
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| 233 | mpz_ptr r = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 234 | mpz_init(r); |
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| 235 | mpz_tdiv_qr(erg, r, (mpz_ptr) a, (mpz_ptr) b); |
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| 236 | //if (!nrzIsZero((number) r, R)) |
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| 237 | //{ |
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| 238 | // WerrorS("Division by non divisible element."); |
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| 239 | // WerrorS("Result is without remainder."); |
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| 240 | //} |
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| 241 | mpz_clear(r); |
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| 242 | omFreeBin(r, gmp_nrz_bin); |
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| 243 | return (number) erg; |
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| 244 | } |
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| 245 | |
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| 246 | static number nrzExactDiv (number a,number b, const coeffs) |
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| 247 | { |
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| 248 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 249 | mpz_init(erg); |
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| 250 | mpz_tdiv_q(erg, (mpz_ptr) a, (mpz_ptr) b); |
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| 251 | return (number) erg; |
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| 252 | } |
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| 253 | |
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| 254 | static number nrzEucNorm (number a, const coeffs ) |
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| 255 | { |
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| 256 | mpz_ptr abs = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 257 | mpz_init(abs); |
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| 258 | mpz_abs(abs, (mpz_ptr)a); |
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| 259 | |
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| 260 | return (number) abs; |
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| 261 | } |
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| 262 | |
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| 263 | static number nrzSmallestQuotRem (number a, number b, number * r, const coeffs ) |
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| 264 | { |
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| 265 | mpz_ptr qq = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 266 | mpz_init(qq); |
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| 267 | mpz_ptr rr = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 268 | mpz_init(rr); |
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| 269 | int gsign = mpz_sgn((mpz_ptr) b); |
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| 270 | mpz_t gg, ghalf; |
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| 271 | mpz_init(gg); |
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| 272 | mpz_init(ghalf); |
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| 273 | mpz_abs(gg, (mpz_ptr) b); |
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| 274 | mpz_fdiv_qr(qq, rr, (mpz_ptr) a, gg); |
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| 275 | mpz_tdiv_q_2exp(ghalf, gg, 1); |
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| 276 | if (mpz_cmp(rr, ghalf) > 0) // r > ghalf |
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| 277 | { |
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| 278 | mpz_sub(rr, rr, gg); |
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| 279 | mpz_add_ui(qq, qq, 1); |
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| 280 | } |
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| 281 | if (gsign < 0) mpz_neg(qq, qq); |
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| 282 | |
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| 283 | mpz_clear(gg); |
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| 284 | mpz_clear(ghalf); |
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| 285 | if (r==NULL) |
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| 286 | { |
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| 287 | mpz_clear(rr); |
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| 288 | omFreeBin(rr,gmp_nrz_bin); |
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| 289 | } |
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| 290 | else |
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| 291 | { |
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| 292 | *r=(number)rr; |
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| 293 | } |
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| 294 | return (number) qq; |
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| 295 | } |
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| 296 | |
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| 297 | static number nrzQuotRem (number a, number b, number * r, const coeffs ) |
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| 298 | { |
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| 299 | mpz_ptr qq = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 300 | mpz_init(qq); |
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| 301 | mpz_ptr rr = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 302 | mpz_init(rr); |
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| 303 | mpz_tdiv_qr(qq, rr, (mpz_ptr) a, (mpz_ptr) b); |
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| 304 | if (r==NULL) |
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| 305 | { |
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| 306 | mpz_clear(rr); |
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| 307 | omFreeBin(rr,gmp_nrz_bin); |
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| 308 | } |
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| 309 | else |
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| 310 | { |
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| 311 | *r=(number)rr; |
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| 312 | } |
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| 313 | return (number) qq; |
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| 314 | } |
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| 315 | |
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| 316 | static number nrzIntMod (number a,number b, const coeffs) |
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| 317 | { |
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| 318 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 319 | mpz_init(erg); |
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| 320 | mpz_ptr r = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 321 | mpz_init(r); |
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| 322 | mpz_tdiv_qr(erg, r, (mpz_ptr) a, (mpz_ptr) b); |
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| 323 | mpz_clear(erg); |
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| 324 | omFreeBin(erg, gmp_nrz_bin); |
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| 325 | return (number) r; |
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| 326 | } |
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| 327 | |
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| 328 | static number nrzInvers (number c, const coeffs r) |
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| 329 | { |
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| 330 | if (!nrzIsUnit((number) c, r)) |
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| 331 | { |
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| 332 | WerrorS("Non invertible element."); |
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| 333 | return (number)NULL; |
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| 334 | } |
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| 335 | return nrzCopy(c,r); |
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| 336 | } |
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| 337 | |
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| 338 | static number nrzNeg (number c, const coeffs) |
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| 339 | { |
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| 340 | // nNeg inplace !!! |
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| 341 | mpz_mul_si((mpz_ptr) c, (mpz_ptr) c, -1); |
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| 342 | return c; |
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| 343 | } |
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| 344 | |
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| 345 | static number nrzMapMachineInt(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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| 346 | { |
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| 347 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 348 | mpz_init_set_ui(erg, (unsigned long) from); |
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| 349 | return (number) erg; |
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| 350 | } |
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| 351 | |
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| 352 | static number nrzMapZp(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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| 353 | { |
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| 354 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 355 | mpz_init_set_si(erg, (long) from); |
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| 356 | return (number) erg; |
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| 357 | } |
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| 358 | |
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| 359 | static number nrzMapQ(number from, const coeffs src, const coeffs /*dst*/) |
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| 360 | { |
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| 361 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 362 | mpz_init(erg); |
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| 363 | nlGMP(from, erg, src); // FIXME? TODO? // extern void nlGMP(number &i, number n, const coeffs r); // to be replaced with n_MPZ(erg, from, src); // ? |
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| 364 | return (number) erg; |
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| 365 | } |
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| 366 | |
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| 367 | static nMapFunc nrzSetMap(const coeffs src, const coeffs /*dst*/) |
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| 368 | { |
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| 369 | /* dst = currRing */ |
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| 370 | /* dst = nrn */ |
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| 371 | if ((src->rep==n_rep_gmp) |
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| 372 | && (nCoeff_is_Z(src) || nCoeff_is_Zn(src) || nCoeff_is_Ring_PtoM(src))) |
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| 373 | { |
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| 374 | return ndCopyMap; //nrzCopyMap; |
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| 375 | } |
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| 376 | if ((src->rep==n_rep_gap_gmp) /*&& nCoeff_is_Z(src)*/) |
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| 377 | { |
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| 378 | return ndCopyMap; //nrzCopyMap; |
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| 379 | } |
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| 380 | if (nCoeff_is_Ring_2toM(src)) |
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| 381 | { |
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| 382 | return nrzMapMachineInt; |
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| 383 | } |
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| 384 | if (nCoeff_is_Zp(src)) |
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| 385 | { |
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| 386 | return nrzMapZp; |
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| 387 | } |
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| 388 | if (getCoeffType(src)==n_Q /*nCoeff_is_Q(src) or coeffs_BIGINT*/) |
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| 389 | { |
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| 390 | return nrzMapQ; |
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| 391 | } |
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| 392 | return NULL; // default |
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| 393 | } |
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| 394 | |
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| 395 | /* |
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| 396 | * set the exponent (allocate and init tables) (TODO) |
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| 397 | */ |
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| 398 | |
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| 399 | void nrzSetExp(int, coeffs) |
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| 400 | { |
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| 401 | } |
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| 402 | |
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| 403 | void nrzInitExp(int, coeffs) |
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| 404 | { |
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| 405 | } |
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| 406 | |
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| 407 | #ifdef LDEBUG |
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| 408 | static BOOLEAN nrzDBTest (number, const char *, const int, const coeffs) |
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| 409 | { |
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| 410 | return TRUE;//TODO |
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| 411 | } |
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| 412 | #endif |
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| 413 | |
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| 414 | void nrzWrite (number a, const coeffs) |
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| 415 | { |
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| 416 | char *s,*z; |
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| 417 | if (a==NULL) |
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| 418 | { |
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| 419 | StringAppendS("o"); |
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| 420 | } |
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| 421 | else |
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| 422 | { |
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| 423 | int l=mpz_sizeinbase((mpz_ptr) a, 10) + 2; |
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| 424 | s=(char*)omAlloc(l); |
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| 425 | z=mpz_get_str(s,10,(mpz_ptr) a); |
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| 426 | StringAppendS(z); |
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| 427 | omFreeSize((ADDRESS)s,l); |
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| 428 | } |
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| 429 | } |
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| 430 | |
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| 431 | /*2 |
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| 432 | * extracts a long integer from s, returns the rest (COPY FROM longrat0.cc) |
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| 433 | */ |
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| 434 | static const char * nlEatLongC(char *s, mpz_ptr i) |
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| 435 | { |
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| 436 | const char * start=s; |
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| 437 | |
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| 438 | if (*s<'0' || *s>'9') |
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| 439 | { |
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| 440 | mpz_set_ui(i,1); |
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| 441 | return s; |
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| 442 | } |
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| 443 | while (*s >= '0' && *s <= '9') s++; |
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| 444 | if (*s=='\0') |
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| 445 | { |
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| 446 | mpz_set_str(i,start,10); |
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| 447 | } |
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| 448 | else |
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| 449 | { |
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| 450 | char c=*s; |
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| 451 | *s='\0'; |
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| 452 | mpz_set_str(i,start,10); |
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| 453 | *s=c; |
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| 454 | } |
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| 455 | return s; |
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| 456 | } |
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| 457 | |
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| 458 | |
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| 459 | static CanonicalForm nrzConvSingNFactoryN(number n, BOOLEAN setChar, const coeffs /*r*/) |
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| 460 | { |
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| 461 | if (setChar) setCharacteristic( 0 ); |
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| 462 | |
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| 463 | CanonicalForm term; |
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| 464 | mpz_t num; |
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| 465 | mpz_init_set(num, *((mpz_t*)n)); |
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| 466 | term = make_cf(num); |
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| 467 | return term; |
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| 468 | } |
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| 469 | |
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| 470 | static number nrzConvFactoryNSingN(const CanonicalForm n, const coeffs r) |
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| 471 | { |
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| 472 | if (n.isImm()) |
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| 473 | return nrzInit(n.intval(),r); |
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| 474 | else |
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| 475 | { |
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| 476 | mpz_ptr m = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 477 | gmp_numerator(n,m); |
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| 478 | if (!n.den().isOne()) |
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| 479 | { |
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| 480 | WarnS("denominator is not 1 in factory"); |
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| 481 | } |
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| 482 | return (number) m; |
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| 483 | } |
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| 484 | } |
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| 485 | |
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| 486 | static const char * nrzRead (const char *s, number *a, const coeffs) |
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| 487 | { |
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| 488 | mpz_ptr z = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 489 | { |
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| 490 | mpz_init(z); |
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| 491 | s = nlEatLongC((char *) s, z); |
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| 492 | } |
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| 493 | *a = (number) z; |
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| 494 | return s; |
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| 495 | } |
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| 496 | |
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| 497 | static coeffs nrzQuot1(number c, const coeffs r) |
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| 498 | { |
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| 499 | long ch = r->cfInt(c, r); |
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| 500 | mpz_t dummy; |
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| 501 | mpz_init_set_ui(dummy, ch); |
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| 502 | ZnmInfo info; |
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| 503 | info.base = dummy; |
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| 504 | info.exp = (unsigned long) 1; |
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| 505 | coeffs rr = nInitChar(n_Zn, (void*)&info); |
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| 506 | mpz_clear(dummy); |
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| 507 | return(rr); |
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| 508 | } |
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| 509 | |
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| 510 | static number nrzInitMPZ(mpz_t m, const coeffs) |
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| 511 | { |
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| 512 | mpz_ptr z = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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| 513 | mpz_init_set(z, m); |
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| 514 | return (number)z; |
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| 515 | } |
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| 516 | |
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[bd5ff4] | 517 | static void nrzMPZ(mpz_t res, number &a, const coeffs) |
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| 518 | { |
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| 519 | mpz_init_set(res, (mpz_ptr) a); |
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| 520 | } |
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| 521 | |
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[9e2cf88] | 522 | static number nrzFarey(number r, number N, const coeffs R) |
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| 523 | { |
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| 524 | number a0 = nrzCopy(N, R); |
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| 525 | number b0 = nrzInit(0, R); |
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| 526 | number a1 = nrzCopy(r, R); |
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| 527 | number b1 = nrzInit(1, R); |
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| 528 | number two = nrzInit(2, R); |
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| 529 | #if 0 |
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| 530 | PrintS("Farey start with "); |
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| 531 | n_Print(r, R); |
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| 532 | PrintS(" mod "); |
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| 533 | n_Print(N, R); |
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| 534 | PrintLn(); |
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| 535 | #endif |
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| 536 | while (1) |
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| 537 | { |
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| 538 | number as = nrzMult(a1, a1, R); |
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| 539 | n_InpMult(as, two, R); |
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| 540 | if (nrzGreater(N, as, R)) |
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| 541 | { |
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| 542 | nrzDelete(&as, R); |
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| 543 | break; |
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| 544 | } |
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| 545 | nrzDelete(&as, R); |
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| 546 | number q = nrzDiv(a0, a1, R); |
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| 547 | number t = nrzMult(a1, q, R), |
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| 548 | s = nrzSub(a0, t, R); |
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| 549 | nrzDelete(&a0, R); |
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| 550 | a0 = a1; |
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| 551 | a1 = s; |
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| 552 | nrzDelete(&t, R); |
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| 553 | |
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| 554 | t = nrzMult(b1, q, R); |
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| 555 | s = nrzSub(b0, t, R); |
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| 556 | nrzDelete(&b0, R); |
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| 557 | b0 = b1; |
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| 558 | b1 = s; |
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| 559 | nrzDelete(&t, R); |
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| 560 | nrzDelete(&q, R); |
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| 561 | } |
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| 562 | number as = nrzMult(b1, b1, R); |
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| 563 | n_InpMult(as, two, R); |
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| 564 | nrzDelete(&two, R); |
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| 565 | if (nrzGreater(as, N, R)) |
---|
| 566 | { |
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| 567 | nrzDelete(&a0, R); |
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| 568 | nrzDelete(&a1, R); |
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| 569 | nrzDelete(&b0, R); |
---|
| 570 | nrzDelete(&b1, R); |
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| 571 | nrzDelete(&as, R); |
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| 572 | return NULL; |
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| 573 | } |
---|
| 574 | nrzDelete(&as, R); |
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| 575 | nrzDelete(&a0, R); |
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| 576 | nrzDelete(&b0, R); |
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| 577 | |
---|
| 578 | number a, b, ab; |
---|
| 579 | coeffs Q = nInitChar(n_Q, 0); |
---|
| 580 | nMapFunc f = n_SetMap(R, Q); |
---|
| 581 | a = f(a1, R, Q); |
---|
| 582 | b = f(b1, R, Q); |
---|
| 583 | ab = n_Div(a, b, Q); |
---|
| 584 | n_Delete(&a, Q); |
---|
| 585 | n_Delete(&b, Q); |
---|
| 586 | nKillChar(Q); |
---|
| 587 | |
---|
| 588 | nrzDelete(&a1, R); |
---|
| 589 | nrzDelete(&b1, R); |
---|
| 590 | return ab; |
---|
| 591 | } |
---|
| 592 | |
---|
| 593 | void nrzWriteFd(number n, const ssiInfo* d, const coeffs) |
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| 594 | { |
---|
| 595 | mpz_out_str (d->f_write,SSI_BASE, (mpz_ptr)n); |
---|
| 596 | fputc(' ',d->f_write); |
---|
| 597 | } |
---|
| 598 | |
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| 599 | number nrzReadFd(const ssiInfo *d, const coeffs) |
---|
| 600 | { |
---|
| 601 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
---|
| 602 | mpz_init(erg); |
---|
| 603 | s_readmpz_base(d->f_read,erg,SSI_BASE); |
---|
| 604 | return (number)erg; |
---|
| 605 | } |
---|
| 606 | |
---|
| 607 | BOOLEAN nrzInitChar(coeffs r, void *) |
---|
| 608 | { |
---|
| 609 | assume( getCoeffType(r) == n_Z ); |
---|
| 610 | |
---|
| 611 | r->is_field=FALSE; |
---|
| 612 | r->is_domain=TRUE; |
---|
| 613 | r->rep=n_rep_gmp; |
---|
| 614 | |
---|
| 615 | //r->nCoeffIsEqual = ndCoeffIsEqual; |
---|
| 616 | r->cfCoeffString = nrzCoeffString; |
---|
| 617 | r->cfCoeffName = nrzCoeffName; |
---|
| 618 | r->cfCoeffWrite = nrzCoeffWrite; |
---|
| 619 | //r->cfKillChar = ndKillChar; |
---|
| 620 | r->cfMult = nrzMult; |
---|
| 621 | r->cfSub = nrzSub; |
---|
| 622 | r->cfAdd = nrzAdd; |
---|
| 623 | r->cfDiv = nrzDiv; |
---|
| 624 | r->cfIntMod= nrzIntMod; |
---|
| 625 | r->cfExactDiv= nrzExactDiv; |
---|
| 626 | r->cfInit = nrzInit; |
---|
| 627 | r->cfInitMPZ = nrzInitMPZ; |
---|
[bd5ff4] | 628 | r->cfMPZ = nrzMPZ; |
---|
[9e2cf88] | 629 | r->cfSize = nrzSize; |
---|
| 630 | r->cfInt = nrzInt; |
---|
| 631 | r->cfDivComp = nrzDivComp; |
---|
| 632 | r->cfIsUnit = nrzIsUnit; |
---|
| 633 | r->cfGetUnit = nrzGetUnit; |
---|
| 634 | r->cfExtGcd = nrzExtGcd; |
---|
| 635 | r->cfXExtGcd = nrzXExtGcd; |
---|
| 636 | r->cfDivBy = nrzDivBy; |
---|
| 637 | r->cfEucNorm = nrzEucNorm; |
---|
| 638 | r->cfQuotRem = nrzSmallestQuotRem; |
---|
| 639 | r->cfInpNeg = nrzNeg; |
---|
| 640 | r->cfInvers= nrzInvers; |
---|
| 641 | r->cfCopy = nrzCopy; |
---|
| 642 | r->cfWriteLong = nrzWrite; |
---|
| 643 | r->cfRead = nrzRead; |
---|
| 644 | r->cfGreater = nrzGreater; |
---|
| 645 | r->cfEqual = nrzEqual; |
---|
| 646 | r->cfIsZero = nrzIsZero; |
---|
| 647 | r->cfIsOne = nrzIsOne; |
---|
| 648 | r->cfIsMOne = nrzIsMOne; |
---|
| 649 | r->cfGreaterZero = nrzGreaterZero; |
---|
| 650 | r->cfPower = nrzPower; |
---|
| 651 | r->cfGcd = nrzGcd; |
---|
| 652 | r->cfLcm = nrzLcm; |
---|
| 653 | r->cfDelete= nrzDelete; |
---|
| 654 | r->cfSetMap = nrzSetMap; |
---|
| 655 | r->cfQuot1 = nrzQuot1; |
---|
| 656 | r->convSingNFactoryN=nrzConvSingNFactoryN; |
---|
| 657 | r->convFactoryNSingN=nrzConvFactoryNSingN; |
---|
| 658 | r->cfChineseRemainder=nlChineseRemainderSym; |
---|
| 659 | r->cfFarey=nrzFarey; |
---|
| 660 | r->cfWriteFd=nrzWriteFd; |
---|
| 661 | r->cfReadFd=nrzReadFd; |
---|
| 662 | // debug stuff |
---|
| 663 | |
---|
| 664 | #ifdef LDEBUG |
---|
| 665 | r->cfDBTest=nrzDBTest; |
---|
| 666 | #endif |
---|
| 667 | |
---|
| 668 | r->ch = 0; |
---|
| 669 | r->has_simple_Alloc=FALSE; |
---|
| 670 | r->has_simple_Inverse=FALSE; |
---|
| 671 | return FALSE; |
---|
| 672 | } |
---|
| 673 | #endif |
---|
| 674 | #endif |
---|