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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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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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)) |
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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); |
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570 | nrzDelete(&b1, R); |
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571 | nrzDelete(&as, R); |
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572 | return NULL; |
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573 | } |
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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; |
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579 | coeffs Q = nInitChar(n_Q, 0); |
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580 | nMapFunc f = n_SetMap(R, Q); |
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581 | a = f(a1, R, Q); |
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582 | b = f(b1, R, Q); |
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583 | ab = n_Div(a, b, Q); |
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584 | n_Delete(&a, Q); |
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585 | n_Delete(&b, Q); |
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586 | nKillChar(Q); |
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587 | |
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588 | nrzDelete(&a1, R); |
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589 | nrzDelete(&b1, R); |
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590 | return ab; |
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591 | } |
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592 | |
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593 | void nrzWriteFd(number n, const ssiInfo* d, const coeffs) |
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594 | { |
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595 | mpz_out_str (d->f_write,SSI_BASE, (mpz_ptr)n); |
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596 | fputc(' ',d->f_write); |
---|
597 | } |
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598 | |
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599 | number nrzReadFd(const ssiInfo *d, const coeffs) |
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600 | { |
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601 | mpz_ptr erg = (mpz_ptr) omAllocBin(gmp_nrz_bin); |
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602 | mpz_init(erg); |
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603 | s_readmpz_base(d->f_read,erg,SSI_BASE); |
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604 | return (number)erg; |
---|
605 | } |
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606 | |
---|
607 | BOOLEAN nrzInitChar(coeffs r, void *) |
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608 | { |
---|
609 | assume( getCoeffType(r) == n_Z ); |
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610 | |
---|
611 | r->is_field=FALSE; |
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612 | r->is_domain=TRUE; |
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613 | r->rep=n_rep_gmp; |
---|
614 | |
---|
615 | //r->nCoeffIsEqual = ndCoeffIsEqual; |
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616 | r->cfCoeffString = nrzCoeffString; |
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617 | r->cfCoeffName = nrzCoeffName; |
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618 | r->cfCoeffWrite = nrzCoeffWrite; |
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619 | //r->cfKillChar = ndKillChar; |
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620 | r->cfMult = nrzMult; |
---|
621 | r->cfSub = nrzSub; |
---|
622 | r->cfAdd = nrzAdd; |
---|
623 | r->cfDiv = nrzDiv; |
---|
624 | r->cfIntMod= nrzIntMod; |
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625 | r->cfExactDiv= nrzExactDiv; |
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626 | r->cfInit = nrzInit; |
---|
627 | r->cfInitMPZ = nrzInitMPZ; |
---|
628 | r->cfMPZ = nrzMPZ; |
---|
629 | r->cfSize = nrzSize; |
---|
630 | r->cfInt = nrzInt; |
---|
631 | r->cfDivComp = nrzDivComp; |
---|
632 | r->cfIsUnit = nrzIsUnit; |
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633 | r->cfGetUnit = nrzGetUnit; |
---|
634 | r->cfExtGcd = nrzExtGcd; |
---|
635 | r->cfXExtGcd = nrzXExtGcd; |
---|
636 | r->cfDivBy = nrzDivBy; |
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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 |
---|