1 | /* $Id$ */ |
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2 | #include "config.h" |
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3 | |
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4 | #include "cf_assert.h" |
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5 | |
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6 | #include "cf_defs.h" |
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7 | #include "canonicalform.h" |
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8 | #include "cf_iter.h" |
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9 | #include "fac_berlekamp.h" |
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10 | #include "fac_cantzass.h" |
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11 | #include "fac_univar.h" |
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12 | #include "fac_multivar.h" |
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13 | #include "fac_sqrfree.h" |
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14 | #include "cf_algorithm.h" |
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15 | |
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16 | #include <factory/cf_gmp.h> |
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17 | |
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18 | #ifdef HAVE_NTL |
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19 | #ifndef NOSTREAMIO |
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20 | #ifdef HAVE_CSTDIO |
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21 | #include <cstdio> |
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22 | #else |
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23 | #include <stdio.h> |
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24 | #endif |
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25 | #endif |
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26 | #include <string.h> |
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27 | #include <NTL/ZZXFactoring.h> |
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28 | #include <NTL/ZZ_pXFactoring.h> |
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29 | #include <NTL/lzz_pXFactoring.h> |
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30 | #include <NTL/GF2XFactoring.h> |
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31 | #include <NTL/ZZ_pEXFactoring.h> |
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32 | #include <NTL/lzz_pEXFactoring.h> |
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33 | #include <NTL/GF2EXFactoring.h> |
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34 | #include <NTL/tools.h> |
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35 | #include <NTL/mat_ZZ.h> |
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36 | #include "int_int.h" |
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37 | #include <limits.h> |
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38 | #include "NTLconvert.h" |
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39 | |
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40 | #define Alloc(L) malloc(L) |
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41 | #define Free(A,L) free(A) |
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42 | |
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43 | void out_cf(const char *s1,const CanonicalForm &f,const char *s2); |
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44 | |
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45 | |
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46 | long fac_NTL_char = -1; // the current characterstic for NTL calls |
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47 | // -1: undefined |
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48 | #ifdef NTL_CLIENT // in <NTL/tools.h>: using of name space NTL |
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49 | NTL_CLIENT |
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50 | #endif |
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51 | |
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52 | //////////////////////////////////////////////////////////////////////////////// |
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53 | // NAME: convertFacCF2NTLZZpX // |
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54 | // // |
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55 | // DESCRIPTION: // |
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56 | // Conversion routine for Factory-type canonicalform into ZZpX of NTL, // |
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57 | // i.e. polynomials over F_p. As a precondition for correct execution, // |
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58 | // the characteristic has to a a prime number. // |
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59 | // // |
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60 | // INPUT: A canonicalform f // |
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61 | // OUTPUT: The converted NTL-polynomial over F_p of type ZZpX // |
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62 | //////////////////////////////////////////////////////////////////////////////// |
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63 | |
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64 | ZZ_pX convertFacCF2NTLZZpX(CanonicalForm f) |
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65 | { |
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66 | ZZ_pX ntl_poly; |
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67 | |
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68 | CFIterator i; |
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69 | i=f; |
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70 | |
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71 | int NTLcurrentExp=i.exp(); |
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72 | int largestExp=i.exp(); |
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73 | int k; |
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74 | |
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75 | // we now build up the NTL-polynomial |
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76 | ntl_poly.SetMaxLength(largestExp+1); |
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77 | |
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78 | for (;i.hasTerms();i++) |
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79 | { |
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80 | for (k=NTLcurrentExp;k>i.exp();k--) |
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81 | { |
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82 | SetCoeff(ntl_poly,k,0); |
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83 | } |
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84 | NTLcurrentExp=i.exp(); |
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85 | |
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86 | CanonicalForm c=i.coeff(); |
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87 | if (!c.isImm()) c=c.mapinto(); //c%= getCharacteristic(); |
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88 | if (!c.isImm()) |
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89 | { //This case will never happen if the characteristic is in fact a prime |
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90 | // number, since all coefficients are represented as immediates |
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91 | #ifndef NOSTREAMIO |
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92 | cout<<"convertFacCF2NTLZZ_pX: coefficient not immediate! : "<<f<<"\n"; |
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93 | #else |
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94 | //NTL_SNS |
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95 | printf("convertFacCF2NTLZZ_pX: coefficient not immediate!, char=%d\n", |
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96 | getCharacteristic()); |
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97 | #endif |
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98 | NTL_SNS exit(1); |
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99 | } |
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100 | else |
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101 | { |
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102 | SetCoeff(ntl_poly,NTLcurrentExp,c.intval()); |
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103 | } |
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104 | NTLcurrentExp--; |
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105 | } |
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106 | |
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107 | //Set the remaining coefficients of ntl_poly to zero. |
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108 | // This is necessary, because NTL internally |
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109 | // also stores powers with zero coefficient, |
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110 | // whereas factory stores tuples of degree and coefficient |
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111 | //leaving out tuples if the coefficient equals zero |
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112 | for (k=NTLcurrentExp;k>=0;k--) |
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113 | { |
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114 | SetCoeff(ntl_poly,k,0); |
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115 | } |
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116 | |
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117 | //normalize the polynomial and return it |
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118 | ntl_poly.normalize(); |
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119 | |
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120 | return ntl_poly; |
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121 | } |
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122 | zz_pX convertFacCF2NTLzzpX(CanonicalForm f) |
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123 | { |
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124 | zz_pX ntl_poly; |
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125 | |
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126 | CFIterator i; |
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127 | i=f; |
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128 | |
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129 | int NTLcurrentExp=i.exp(); |
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130 | int largestExp=i.exp(); |
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131 | int k; |
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132 | |
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133 | // we now build up the NTL-polynomial |
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134 | ntl_poly.SetMaxLength(largestExp+1); |
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135 | |
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136 | for (;i.hasTerms();i++) |
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137 | { |
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138 | for (k=NTLcurrentExp;k>i.exp();k--) |
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139 | { |
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140 | SetCoeff(ntl_poly,k,0); |
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141 | } |
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142 | NTLcurrentExp=i.exp(); |
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143 | |
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144 | CanonicalForm c=i.coeff(); |
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145 | if (!c.isImm()) c.mapinto(); //c%= getCharacteristic(); |
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146 | if (!c.isImm()) |
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147 | { //This case will never happen if the characteristic is in fact a prime |
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148 | // number, since all coefficients are represented as immediates |
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149 | #ifndef NOSTREAMIO |
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150 | cout<<"convertFacCF2NTLzz_pX: coefficient not immediate! : "<<f<<"\n"; |
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151 | #else |
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152 | //NTL_SNS |
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153 | printf("convertFacCF2NTLzz_pX: coefficient not immediate!, char=%d\n", |
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154 | getCharacteristic()); |
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155 | #endif |
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156 | NTL_SNS exit(1); |
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157 | } |
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158 | else |
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159 | { |
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160 | SetCoeff(ntl_poly,NTLcurrentExp,c.intval()); |
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161 | } |
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162 | NTLcurrentExp--; |
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163 | } |
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164 | |
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165 | //Set the remaining coefficients of ntl_poly to zero. |
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166 | // This is necessary, because NTL internally |
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167 | // also stores powers with zero coefficient, |
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168 | // whereas factory stores tuples of degree and coefficient |
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169 | //leaving out tuples if the coefficient equals zero |
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170 | for (k=NTLcurrentExp;k>=0;k--) |
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171 | { |
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172 | SetCoeff(ntl_poly,k,0); |
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173 | } |
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174 | |
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175 | //normalize the polynomial and return it |
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176 | ntl_poly.normalize(); |
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177 | |
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178 | return ntl_poly; |
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179 | } |
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180 | |
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181 | //////////////////////////////////////////////////////////////////////////////// |
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182 | // NAME: convertFacCF2NTLGF2X // |
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183 | // // |
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184 | // DESCRIPTION: // |
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185 | // Conversion routine for Factory-type canonicalform into GF2X of NTL, // |
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186 | // i.e. polynomials over F_2. As precondition for correct execution, // |
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187 | // the characteristic must equal two. // |
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188 | // This is a special case of the more general conversion routine for // |
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189 | // canonicalform to ZZpX. It is included because NTL provides additional // |
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190 | // support and faster algorithms over F_2, moreover the conversion code // |
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191 | // can be optimized, because certain steps are either completely obsolent // |
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192 | // (like normalizing the polynomial) or they can be made significantly // |
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193 | // faster (like building up the NTL-polynomial). // |
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194 | // // |
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195 | // INPUT: A canonicalform f // |
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196 | // OUTPUT: The converted NTL-polynomial over F_2 of type GF2X // |
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197 | //////////////////////////////////////////////////////////////////////////////// |
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198 | |
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199 | GF2X convertFacCF2NTLGF2X(CanonicalForm f) |
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200 | { |
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201 | //printf("convertFacCF2NTLGF2X\n"); |
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202 | GF2X ntl_poly; |
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203 | |
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204 | CFIterator i; |
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205 | i=f; |
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206 | |
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207 | int NTLcurrentExp=i.exp(); |
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208 | int largestExp=i.exp(); |
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209 | int k; |
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210 | |
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211 | //building the NTL-polynomial |
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212 | ntl_poly.SetMaxLength(largestExp+1); |
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213 | |
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214 | for (;i.hasTerms();i++) |
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215 | { |
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216 | |
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217 | for (k=NTLcurrentExp;k>i.exp();k--) |
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218 | { |
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219 | SetCoeff(ntl_poly,k,0); |
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220 | } |
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221 | NTLcurrentExp=i.exp(); |
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222 | |
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223 | if (!i.coeff().isImm()) i.coeff()=i.coeff().mapinto(); |
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224 | if (!i.coeff().isImm()) |
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225 | { |
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226 | #ifndef NOSTREAMIO |
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227 | cout<<"convertFacCF2NTLGF2X: coefficient not immidiate! : " << f << "\n"; |
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228 | #else |
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229 | //NTL_SNS |
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230 | printf("convertFacCF2NTLGF2X: coefficient not immidiate!"); |
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231 | #endif |
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232 | NTL_SNS exit(1); |
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233 | } |
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234 | else |
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235 | { |
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236 | SetCoeff(ntl_poly,NTLcurrentExp,i.coeff().intval()); |
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237 | } |
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238 | NTLcurrentExp--; |
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239 | } |
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240 | for (k=NTLcurrentExp;k>=0;k--) |
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241 | { |
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242 | SetCoeff(ntl_poly,k,0); |
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243 | } |
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244 | //normalization is not necessary of F_2 |
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245 | |
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246 | return ntl_poly; |
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247 | } |
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248 | |
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249 | |
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250 | //////////////////////////////////////////////////////////////////////////////// |
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251 | // NAME: convertNTLZZpX2CF // |
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252 | // // |
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253 | // DESCRIPTION: // |
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254 | // Conversion routine for NTL-Type ZZpX to Factory-Type canonicalform. // |
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255 | // Additionally a variable x is needed as a parameter indicating the // |
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256 | // main variable of the computed canonicalform. To guarantee the correct // |
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257 | // execution of the algorithm, the characteristic has a be an arbitrary // |
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258 | // prime number. // |
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259 | // // |
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260 | // INPUT: A canonicalform f, a variable x // |
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261 | // OUTPUT: The converted Factory-polynomial of type canonicalform, // |
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262 | // built by the main variable x // |
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263 | //////////////////////////////////////////////////////////////////////////////// |
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264 | |
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265 | CanonicalForm convertNTLZZpX2CF(ZZ_pX poly,Variable x) |
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266 | { |
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267 | //printf("convertNTLZZpX2CF\n"); |
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268 | CanonicalForm bigone; |
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269 | |
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270 | |
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271 | if (deg(poly)>0) |
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272 | { |
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273 | // poly is non-constant |
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274 | bigone=0; |
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275 | bigone.mapinto(); |
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276 | // Compute the canonicalform coefficient by coefficient, |
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277 | // bigone summarizes the result. |
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278 | for (int j=0;j<=deg(poly);j++) |
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279 | { |
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280 | if (coeff(poly,j)!=0) |
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281 | { |
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282 | bigone+=(power(x,j)*CanonicalForm(to_long(rep(coeff(poly,j))))); |
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283 | } |
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284 | } |
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285 | } |
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286 | else |
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287 | { |
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288 | // poly is immediate |
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289 | bigone=CanonicalForm(to_long(rep(coeff(poly,0)))); |
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290 | bigone.mapinto(); |
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291 | } |
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292 | return bigone; |
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293 | } |
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294 | |
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295 | CanonicalForm convertNTLzzpX2CF(zz_pX poly,Variable x) |
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296 | { |
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297 | //printf("convertNTLzzpX2CF\n"); |
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298 | CanonicalForm bigone; |
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299 | |
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300 | |
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301 | if (deg(poly)>0) |
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302 | { |
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303 | // poly is non-constant |
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304 | bigone=0; |
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305 | bigone.mapinto(); |
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306 | // Compute the canonicalform coefficient by coefficient, |
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307 | // bigone summarizes the result. |
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308 | for (int j=0;j<=deg(poly);j++) |
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309 | { |
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310 | if (coeff(poly,j)!=0) |
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311 | { |
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312 | bigone+=(power(x,j)*CanonicalForm(to_long(rep(coeff(poly,j))))); |
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313 | } |
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314 | } |
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315 | } |
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316 | else |
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317 | { |
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318 | // poly is immediate |
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319 | bigone=CanonicalForm(to_long(rep(coeff(poly,0)))); |
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320 | bigone.mapinto(); |
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321 | } |
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322 | return bigone; |
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323 | } |
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324 | |
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325 | CanonicalForm convertNTLZZX2CF(ZZX polynom,Variable x) |
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326 | { |
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327 | //printf("convertNTLZZX2CF\n"); |
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328 | CanonicalForm bigone; |
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329 | |
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330 | // Go through the vector e and build up the CFFList |
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331 | // As usual bigone summarizes the result |
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332 | bigone=0; |
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333 | ZZ coefficient; |
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334 | |
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335 | for (int j=0;j<=deg(polynom);j++) |
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336 | { |
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337 | coefficient=coeff(polynom,j); |
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338 | if (!IsZero(coefficient)) |
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339 | { |
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340 | bigone += (power(x,j)*convertZZ2CF(coefficient)); |
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341 | } |
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342 | } |
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343 | return bigone; |
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344 | } |
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345 | |
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346 | //////////////////////////////////////////////////////////////////////////////// |
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347 | // NAME: convertNTLGF2X2CF // |
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348 | // // |
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349 | // DESCRIPTION: // |
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350 | // Conversion routine for NTL-Type GF2X to Factory-Type canonicalform, // |
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351 | // the routine is again an optimized special case of the more general // |
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352 | // conversion to ZZpX. Additionally a variable x is needed as a // |
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353 | // parameter indicating the main variable of the computed canonicalform. // |
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354 | // To guarantee the correct execution of the algorithm the characteristic // |
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355 | // has a be an arbitrary prime number. // |
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356 | // // |
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357 | // INPUT: A canonicalform f, a variable x // |
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358 | // OUTPUT: The converted Factory-polynomial of type canonicalform, // |
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359 | // built by the main variable x // |
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360 | //////////////////////////////////////////////////////////////////////////////// |
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361 | |
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362 | CanonicalForm convertNTLGF2X2CF(GF2X poly,Variable x) |
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363 | { |
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364 | //printf("convertNTLGF2X2CF\n"); |
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365 | CanonicalForm bigone; |
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366 | |
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367 | if (deg(poly)>0) |
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368 | { |
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369 | // poly is non-constant |
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370 | bigone=0; |
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371 | bigone.mapinto(); |
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372 | // Compute the canonicalform coefficient by coefficient, |
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373 | // bigone summarizes the result. |
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374 | // In constrast to the more general conversion to ZZpX |
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375 | // the only possible coefficients are zero |
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376 | // and one yielding the following simplified loop |
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377 | for (int j=0;j<=deg(poly);j++) |
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378 | { |
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379 | if (coeff(poly,j)!=0) bigone+=power(x,j); |
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380 | // *CanonicalForm(to_long(rep(coeff(poly,j))))) is not necessary any more; |
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381 | } |
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382 | } |
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383 | else |
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384 | { |
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385 | // poly is immediate |
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386 | bigone=CanonicalForm(to_long(rep(coeff(poly,0)))); |
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387 | bigone.mapinto(); |
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388 | } |
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389 | |
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390 | return bigone; |
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391 | } |
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392 | |
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393 | //////////////////////////////////////////////////////////////////////////////// |
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394 | // NAME: convertNTLvec_pair_ZZpX_long2FacCFFList // |
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395 | // // |
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396 | // DESCRIPTION: // |
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397 | // Routine for converting a vector of polynomials from ZZpX to // |
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398 | // a CFFList of Factory. This routine will be used after a successful // |
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399 | // factorization of NTL to convert the result back to Factory. // |
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400 | // // |
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401 | // Additionally a variable x and the computed multiplicity, as a type ZZp // |
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402 | // of NTL, is needed as parameters indicating the main variable of the // |
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403 | // computed canonicalform and the multiplicity of the original polynomial. // |
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404 | // To guarantee the correct execution of the algorithm the characteristic // |
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405 | // has a be an arbitrary prime number. // |
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406 | // // |
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407 | // INPUT: A vector of polynomials over ZZp of type vec_pair_ZZ_pX_long and // |
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408 | // a variable x and a multiplicity of type ZZp // |
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409 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
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410 | // have x as their main variable // |
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411 | //////////////////////////////////////////////////////////////////////////////// |
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412 | |
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413 | CFFList convertNTLvec_pair_ZZpX_long2FacCFFList |
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414 | (vec_pair_ZZ_pX_long e,ZZ_p multi,Variable x) |
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415 | { |
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416 | //printf("convertNTLvec_pair_ZZpX_long2FacCFFList\n"); |
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417 | CFFList result; |
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418 | ZZ_pX polynom; |
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419 | CanonicalForm bigone; |
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420 | |
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421 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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422 | // but this is not |
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423 | //important for the factorization, but nevertheless would take computing time, |
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424 | // so it is omitted |
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425 | |
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426 | |
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427 | // Go through the vector e and compute the CFFList |
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428 | // again bigone summarizes the result |
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429 | for (int i=e.length()-1;i>=0;i--) |
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430 | { |
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431 | result.append(CFFactor(convertNTLZZpX2CF(e[i].a,x),e[i].b)); |
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432 | } |
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433 | // the multiplicity at pos 1 |
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434 | if (!IsOne(multi)) |
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435 | result.insert(CFFactor(CanonicalForm(to_long(rep(multi))),1)); |
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436 | return result; |
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437 | } |
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438 | CFFList convertNTLvec_pair_zzpX_long2FacCFFList |
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439 | (vec_pair_zz_pX_long e,zz_p multi,Variable x) |
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440 | { |
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441 | //printf("convertNTLvec_pair_zzpX_long2FacCFFList\n"); |
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442 | CFFList result; |
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443 | zz_pX polynom; |
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444 | CanonicalForm bigone; |
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445 | |
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446 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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447 | // but this is not |
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448 | //important for the factorization, but nevertheless would take computing time, |
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449 | // so it is omitted |
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450 | |
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451 | |
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452 | // Go through the vector e and compute the CFFList |
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453 | // again bigone summarizes the result |
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454 | for (int i=e.length()-1;i>=0;i--) |
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455 | { |
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456 | result.append(CFFactor(convertNTLzzpX2CF(e[i].a,x),e[i].b)); |
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457 | } |
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458 | // the multiplicity at pos 1 |
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459 | if (!IsOne(multi)) |
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460 | result.insert(CFFactor(CanonicalForm(to_long(rep(multi))),1)); |
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461 | return result; |
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462 | } |
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463 | |
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464 | //////////////////////////////////////////////////////////////////////////////// |
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465 | // NAME: convertNTLvec_pair_GF2X_long2FacCFFList // |
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466 | // // |
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467 | // DESCRIPTION: // |
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468 | // Routine for converting a vector of polynomials of type GF2X from // |
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469 | // NTL to a list CFFList of Factory. This routine will be used after a // |
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470 | // successful factorization of NTL to convert the result back to Factory. // |
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471 | // As usual this is simply a special case of the more general conversion // |
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472 | // routine but again speeded up by leaving out unnecessary steps. // |
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473 | // Additionally a variable x and the computed multiplicity, as type // |
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474 | // GF2 of NTL, are needed as parameters indicating the main variable of the // |
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475 | // computed canonicalform and the multiplicity of the original polynomial. // |
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476 | // To guarantee the correct execution of the algorithm the characteristic // |
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477 | // has a be an arbitrary prime number. // |
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478 | // // |
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479 | // INPUT: A vector of polynomials over GF2 of type vec_pair_GF2X_long and // |
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480 | // a variable x and a multiplicity of type GF2 // |
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481 | // OUTPUT: The converted list of polynomials of type CFFList, all // |
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482 | // polynomials have x as their main variable // |
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483 | //////////////////////////////////////////////////////////////////////////////// |
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484 | |
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485 | CFFList convertNTLvec_pair_GF2X_long2FacCFFList |
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486 | (vec_pair_GF2X_long e, GF2 /*multi*/, Variable x) |
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487 | { |
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488 | //printf("convertNTLvec_pair_GF2X_long2FacCFFList\n"); |
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489 | CFFList result; |
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490 | GF2X polynom; |
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491 | long exponent; |
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492 | CanonicalForm bigone; |
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493 | |
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494 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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495 | // but this is not |
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496 | //important for the factorization, but nevertheless would take computing time |
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497 | // so it is omitted. |
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498 | |
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499 | //We do not have to worry about the multiplicity in GF2 since it equals one. |
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500 | |
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501 | // Go through the vector e and compute the CFFList |
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502 | // bigone summarizes the result again |
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503 | for (int i=e.length()-1;i>=0;i--) |
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504 | { |
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505 | bigone=0; |
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506 | |
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507 | polynom=e[i].a; |
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508 | exponent=e[i].b; |
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509 | for (int j=0;j<=deg(polynom);j++) |
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510 | { |
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511 | if (coeff(polynom,j)!=0) |
---|
512 | bigone += (power(x,j)*CanonicalForm(to_long(rep(coeff(polynom,j))))); |
---|
513 | } |
---|
514 | |
---|
515 | //append the converted polynomial to the CFFList |
---|
516 | result.append(CFFactor(bigone,exponent)); |
---|
517 | } |
---|
518 | return result; |
---|
519 | } |
---|
520 | |
---|
521 | //////////////////////////////////////////////////////////////////////////////// |
---|
522 | // NAME: convertZZ2CF // |
---|
523 | // // |
---|
524 | // DESCRIPTION: // |
---|
525 | // Routine for conversion of integers represented in NTL as Type ZZ to // |
---|
526 | // integers in Factory represented as canonicalform. // |
---|
527 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
528 | // has to equal zero. // |
---|
529 | // // |
---|
530 | // INPUT: The value coefficient of type ZZ that has to be converted // |
---|
531 | // OUTPUT: The converted Factory-integer of type canonicalform // |
---|
532 | //////////////////////////////////////////////////////////////////////////////// |
---|
533 | |
---|
534 | static char *cf_stringtemp; |
---|
535 | static char *cf_stringtemp2; |
---|
536 | static int cf_stringtemp_l=0; |
---|
537 | CanonicalForm convertZZ2CF(ZZ coefficient) |
---|
538 | { |
---|
539 | long coeff_long; |
---|
540 | //CanonicalForm tmp=0; |
---|
541 | char dummy[2]; |
---|
542 | int minusremainder=0; |
---|
543 | char numbers[]="0123456789abcdef"; |
---|
544 | |
---|
545 | coeff_long=to_long(coefficient); |
---|
546 | |
---|
547 | //Test whether coefficient can be represented as an immediate integer in Factory |
---|
548 | if ( (NumBits(coefficient)<((long)NTL_ZZ_NBITS)) |
---|
549 | && (coeff_long>((long)MINIMMEDIATE)) |
---|
550 | && (coeff_long<((long)MAXIMMEDIATE))) |
---|
551 | { |
---|
552 | // coefficient is immediate --> return the coefficient as canonicalform |
---|
553 | return CanonicalForm(coeff_long); |
---|
554 | } |
---|
555 | else |
---|
556 | { |
---|
557 | // coefficient is not immediate (gmp-number) |
---|
558 | if (cf_stringtemp_l==0) |
---|
559 | { |
---|
560 | cf_stringtemp=(char *)Alloc(1023); |
---|
561 | cf_stringtemp2=(char *)Alloc(1023); |
---|
562 | cf_stringtemp[0]='\0'; |
---|
563 | cf_stringtemp2[0]='\0'; |
---|
564 | cf_stringtemp_l=1023; |
---|
565 | } |
---|
566 | |
---|
567 | // convert coefficient to char* (input for gmp) |
---|
568 | dummy[1]='\0'; |
---|
569 | |
---|
570 | if (coefficient<0) |
---|
571 | { |
---|
572 | // negate coefficient, but store the sign in minusremainder |
---|
573 | minusremainder=1; |
---|
574 | coefficient=-coefficient; |
---|
575 | } |
---|
576 | |
---|
577 | int l=0; |
---|
578 | while (coefficient>15) |
---|
579 | { |
---|
580 | ZZ quotient,remaind; |
---|
581 | ZZ ten;ten=16; |
---|
582 | DivRem(quotient,remaind,coefficient,ten); |
---|
583 | dummy[0]=numbers[to_long(remaind)]; |
---|
584 | //tmp*=10; tmp+=to_long(remaind); |
---|
585 | |
---|
586 | l++; |
---|
587 | if (l>=cf_stringtemp_l-2) |
---|
588 | { |
---|
589 | Free(cf_stringtemp2,cf_stringtemp_l); |
---|
590 | char *p=(char *)Alloc(cf_stringtemp_l*2); |
---|
591 | //NTL_SNS |
---|
592 | memcpy(p,cf_stringtemp,cf_stringtemp_l); |
---|
593 | Free(cf_stringtemp,cf_stringtemp_l); |
---|
594 | cf_stringtemp_l*=2; |
---|
595 | cf_stringtemp=p; |
---|
596 | cf_stringtemp2=(char *)Alloc(cf_stringtemp_l); |
---|
597 | } |
---|
598 | cf_stringtemp[l-1]=dummy[0]; |
---|
599 | cf_stringtemp[l]='\0'; |
---|
600 | //strcat(stringtemp,dummy); |
---|
601 | |
---|
602 | coefficient=quotient; |
---|
603 | } |
---|
604 | //built up the string in dummy[0] |
---|
605 | dummy[0]=numbers[to_long(coefficient)]; |
---|
606 | //NTL_SNS |
---|
607 | l++; |
---|
608 | cf_stringtemp[l-1]=dummy[0]; |
---|
609 | cf_stringtemp[l]='\0'; |
---|
610 | //tmp*=10; tmp+=to_long(coefficient); |
---|
611 | |
---|
612 | if (minusremainder==1) |
---|
613 | { |
---|
614 | //Check whether coefficient has been negative at the start of the procedure |
---|
615 | cf_stringtemp2[0]='-'; |
---|
616 | //tmp*=(-1); |
---|
617 | } |
---|
618 | |
---|
619 | //reverse the list to obtain the correct string |
---|
620 | //NTL_SNS |
---|
621 | for (int i=l-1;i>=0;i--) // l ist the position of \0 |
---|
622 | { |
---|
623 | cf_stringtemp2[l-i-1+minusremainder]=cf_stringtemp[i]; |
---|
624 | } |
---|
625 | cf_stringtemp2[l+minusremainder]='\0'; |
---|
626 | } |
---|
627 | |
---|
628 | //convert the string to canonicalform using the char*-Constructor |
---|
629 | return CanonicalForm(cf_stringtemp2,16); |
---|
630 | //return tmp; |
---|
631 | } |
---|
632 | |
---|
633 | //////////////////////////////////////////////////////////////////////////////// |
---|
634 | // NAME: convertFacCF2NTLZZX // |
---|
635 | // // |
---|
636 | // DESCRIPTION: // |
---|
637 | // Routine for conversion of canonicalforms in Factory to polynomials // |
---|
638 | // of type ZZX of NTL. To guarantee the correct execution of the // |
---|
639 | // algorithm the characteristic has to equal zero. // |
---|
640 | // // |
---|
641 | // INPUT: The canonicalform that has to be converted // |
---|
642 | // OUTPUT: The converted NTL-polynom of type ZZX // |
---|
643 | //////////////////////////////////////////////////////////////////////////////// |
---|
644 | |
---|
645 | ZZ convertFacCF2NTLZZ(const CanonicalForm f) |
---|
646 | { |
---|
647 | ZZ temp; |
---|
648 | if (f.isImm()) temp=f.intval(); |
---|
649 | else |
---|
650 | { |
---|
651 | //Coefficient is a gmp-number |
---|
652 | mpz_t gmp_val; |
---|
653 | char* stringtemp; |
---|
654 | |
---|
655 | gmp_val[0]=*getmpi(f.getval()); |
---|
656 | int l=mpz_sizeinbase(gmp_val,10)+2; |
---|
657 | stringtemp=(char*)Alloc(l); |
---|
658 | stringtemp=mpz_get_str(stringtemp,10,gmp_val); |
---|
659 | mpz_clear(gmp_val); |
---|
660 | conv(temp,stringtemp); |
---|
661 | Free(stringtemp,l); |
---|
662 | } |
---|
663 | return temp; |
---|
664 | } |
---|
665 | |
---|
666 | ZZX convertFacCF2NTLZZX(CanonicalForm f) |
---|
667 | { |
---|
668 | ZZX ntl_poly; |
---|
669 | |
---|
670 | CFIterator i; |
---|
671 | i=f; |
---|
672 | |
---|
673 | int NTLcurrentExp=i.exp(); |
---|
674 | int largestExp=i.exp(); |
---|
675 | int k; |
---|
676 | |
---|
677 | //set the length of the NTL-polynomial |
---|
678 | ntl_poly.SetMaxLength(largestExp+1); |
---|
679 | |
---|
680 | //Go through the coefficients of the canonicalform and build up the NTL-polynomial |
---|
681 | for (;i.hasTerms();i++) |
---|
682 | { |
---|
683 | for (k=NTLcurrentExp;k>i.exp();k--) |
---|
684 | { |
---|
685 | SetCoeff(ntl_poly,k,0); |
---|
686 | } |
---|
687 | NTLcurrentExp=i.exp(); |
---|
688 | |
---|
689 | //Coefficient is a gmp-number |
---|
690 | ZZ temp=convertFacCF2NTLZZ(i.coeff()); |
---|
691 | |
---|
692 | //set the computed coefficient |
---|
693 | SetCoeff(ntl_poly,NTLcurrentExp,temp); |
---|
694 | |
---|
695 | NTLcurrentExp--; |
---|
696 | } |
---|
697 | for (k=NTLcurrentExp;k>=0;k--) |
---|
698 | { |
---|
699 | SetCoeff(ntl_poly,k,0); |
---|
700 | } |
---|
701 | |
---|
702 | //normalize the polynomial |
---|
703 | ntl_poly.normalize(); |
---|
704 | |
---|
705 | return ntl_poly; |
---|
706 | } |
---|
707 | |
---|
708 | //////////////////////////////////////////////////////////////////////////////// |
---|
709 | // NAME: convertNTLvec_pair_ZZX_long2FacCFFList // |
---|
710 | // // |
---|
711 | // DESCRIPTION: // |
---|
712 | // Routine for converting a vector of polynomials from ZZ to a list // |
---|
713 | // CFFList of Factory. This routine will be used after a successful // |
---|
714 | // factorization of NTL to convert the result back to Factory. // |
---|
715 | // Additionally a variable x and the computed multiplicity, as a type // |
---|
716 | // ZZ of NTL, is needed as parameters indicating the main variable of the // |
---|
717 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
718 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
719 | // has to equal zero. // |
---|
720 | // // |
---|
721 | // INPUT: A vector of polynomials over ZZ of type vec_pair_ZZX_long and // |
---|
722 | // a variable x and a multiplicity of type ZZ // |
---|
723 | // OUTPUT: The converted list of polynomials of type CFFList, all // |
---|
724 | // have x as their main variable // |
---|
725 | //////////////////////////////////////////////////////////////////////////////// |
---|
726 | |
---|
727 | CFFList convertNTLvec_pair_ZZX_long2FacCFFList(vec_pair_ZZX_long e,ZZ multi,Variable x) |
---|
728 | { |
---|
729 | CFFList result; |
---|
730 | ZZX polynom; |
---|
731 | long exponent; |
---|
732 | CanonicalForm bigone; |
---|
733 | |
---|
734 | // Go through the vector e and build up the CFFList |
---|
735 | // As usual bigone summarizes the result |
---|
736 | for (int i=e.length()-1;i>=0;i--) |
---|
737 | { |
---|
738 | ZZ coefficient; |
---|
739 | polynom=e[i].a; |
---|
740 | exponent=e[i].b; |
---|
741 | bigone=convertNTLZZX2CF(polynom,x); |
---|
742 | //append the converted polynomial to the list |
---|
743 | result.append(CFFactor(bigone,exponent)); |
---|
744 | } |
---|
745 | // the multiplicity at pos 1 |
---|
746 | //if (!IsOne(multi)) |
---|
747 | result.insert(CFFactor(convertZZ2CF(multi),1)); |
---|
748 | |
---|
749 | //return the converted list |
---|
750 | return result; |
---|
751 | } |
---|
752 | |
---|
753 | |
---|
754 | //////////////////////////////////////////////////////////////////////////////// |
---|
755 | // NAME: convertNTLZZpX2CF // |
---|
756 | // // |
---|
757 | // DESCRIPTION: // |
---|
758 | // Routine for conversion of elements of arbitrary extensions of ZZp, // |
---|
759 | // having type ZZpE, of NTL to their corresponding values of type // |
---|
760 | // canonicalform in Factory. // |
---|
761 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
762 | // has to be an arbitrary prime number and Factory has to compute in an // |
---|
763 | // extension of F_p. // |
---|
764 | // // |
---|
765 | // INPUT: The coefficient of type ZZpE and the variable x indicating the main// |
---|
766 | // variable of the computed canonicalform // |
---|
767 | // OUTPUT: The converted value of coefficient as type canonicalform // |
---|
768 | //////////////////////////////////////////////////////////////////////////////// |
---|
769 | |
---|
770 | CanonicalForm convertNTLZZpE2CF(ZZ_pE coefficient,Variable x) |
---|
771 | { |
---|
772 | return convertNTLZZpX2CF(rep(coefficient),x); |
---|
773 | } |
---|
774 | CanonicalForm convertNTLzzpE2CF(zz_pE coefficient,Variable x) |
---|
775 | { |
---|
776 | return convertNTLzzpX2CF(rep(coefficient),x); |
---|
777 | } |
---|
778 | |
---|
779 | //////////////////////////////////////////////////////////////////////////////// |
---|
780 | // NAME: convertNTLvec_pair_ZZpEX_long2FacCFFList // |
---|
781 | // // |
---|
782 | // DESCRIPTION: // |
---|
783 | // Routine for converting a vector of polynomials from ZZpEX to a CFFList // |
---|
784 | // of Factory. This routine will be used after a successful factorization // |
---|
785 | // of NTL to convert the result back to Factory. // |
---|
786 | // Additionally a variable x and the computed multiplicity, as a type // |
---|
787 | // ZZpE of NTL, is needed as parameters indicating the main variable of the // |
---|
788 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
789 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
790 | // has a be an arbitrary prime number p and computations have to be done // |
---|
791 | // in an extention of F_p. // |
---|
792 | // // |
---|
793 | // INPUT: A vector of polynomials over ZZpE of type vec_pair_ZZ_pEX_long and // |
---|
794 | // a variable x and a multiplicity of type ZZpE // |
---|
795 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
---|
796 | // have x as their main variable // |
---|
797 | //////////////////////////////////////////////////////////////////////////////// |
---|
798 | |
---|
799 | CFFList convertNTLvec_pair_ZZpEX_long2FacCFFList(vec_pair_ZZ_pEX_long e,ZZ_pE multi,Variable x,Variable alpha) |
---|
800 | { |
---|
801 | CFFList result; |
---|
802 | ZZ_pEX polynom; |
---|
803 | long exponent; |
---|
804 | CanonicalForm bigone; |
---|
805 | |
---|
806 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
807 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
808 | |
---|
809 | // Go through the vector e and build up the CFFList |
---|
810 | // As usual bigone summarizes the result during every loop |
---|
811 | for (int i=e.length()-1;i>=0;i--) |
---|
812 | { |
---|
813 | bigone=0; |
---|
814 | |
---|
815 | polynom=e[i].a; |
---|
816 | exponent=e[i].b; |
---|
817 | |
---|
818 | for (int j=0;j<=deg(polynom);j++) |
---|
819 | { |
---|
820 | if (IsOne(coeff(polynom,j))) |
---|
821 | { |
---|
822 | bigone+=power(x,j); |
---|
823 | } |
---|
824 | else |
---|
825 | { |
---|
826 | CanonicalForm coefficient=convertNTLZZpE2CF(coeff(polynom,j),alpha); |
---|
827 | if (coeff(polynom,j)!=0) |
---|
828 | { |
---|
829 | bigone += (power(x,j)*coefficient); |
---|
830 | } |
---|
831 | } |
---|
832 | } |
---|
833 | //append the computed polynomials together with its exponent to the CFFList |
---|
834 | result.append(CFFactor(bigone,exponent)); |
---|
835 | } |
---|
836 | // Start by appending the multiplicity |
---|
837 | if (!IsOne(multi)) |
---|
838 | result.insert(CFFactor(convertNTLZZpE2CF(multi,alpha),1)); |
---|
839 | |
---|
840 | //return the computed CFFList |
---|
841 | return result; |
---|
842 | } |
---|
843 | CFFList convertNTLvec_pair_zzpEX_long2FacCFFList(vec_pair_zz_pEX_long e,zz_pE multi,Variable x,Variable alpha) |
---|
844 | { |
---|
845 | CFFList result; |
---|
846 | zz_pEX polynom; |
---|
847 | long exponent; |
---|
848 | CanonicalForm bigone; |
---|
849 | |
---|
850 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
851 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
852 | |
---|
853 | // Go through the vector e and build up the CFFList |
---|
854 | // As usual bigone summarizes the result during every loop |
---|
855 | for (int i=e.length()-1;i>=0;i--) |
---|
856 | { |
---|
857 | bigone=0; |
---|
858 | |
---|
859 | polynom=e[i].a; |
---|
860 | exponent=e[i].b; |
---|
861 | |
---|
862 | for (int j=0;j<=deg(polynom);j++) |
---|
863 | { |
---|
864 | if (IsOne(coeff(polynom,j))) |
---|
865 | { |
---|
866 | bigone+=power(x,j); |
---|
867 | } |
---|
868 | else |
---|
869 | { |
---|
870 | CanonicalForm coefficient=convertNTLzzpE2CF(coeff(polynom,j),alpha); |
---|
871 | if (coeff(polynom,j)!=0) |
---|
872 | { |
---|
873 | bigone += (power(x,j)*coefficient); |
---|
874 | } |
---|
875 | } |
---|
876 | } |
---|
877 | //append the computed polynomials together with its exponent to the CFFList |
---|
878 | result.append(CFFactor(bigone,exponent)); |
---|
879 | } |
---|
880 | // Start by appending the multiplicity |
---|
881 | if (!IsOne(multi)) |
---|
882 | result.insert(CFFactor(convertNTLzzpE2CF(multi,alpha),1)); |
---|
883 | |
---|
884 | //return the computed CFFList |
---|
885 | return result; |
---|
886 | } |
---|
887 | |
---|
888 | //////////////////////////////////////////////////////////////////////////////// |
---|
889 | // NAME: convertNTLGF2E2CF // |
---|
890 | // // |
---|
891 | // DESCRIPTION: // |
---|
892 | // Routine for conversion of elements of extensions of GF2, having type // |
---|
893 | // GF2E, of NTL to their corresponding values of type canonicalform in // |
---|
894 | // Factory. // |
---|
895 | // To guarantee the correct execution of the algorithm, the characteristic // |
---|
896 | // must equal two and Factory has to compute in an extension of F_2. // |
---|
897 | // As usual this is an optimized special case of the more general conversion // |
---|
898 | // routine from ZZpE to Factory. // |
---|
899 | // // |
---|
900 | // INPUT: The coefficient of type GF2E and the variable x indicating the // |
---|
901 | // main variable of the computed canonicalform // |
---|
902 | // OUTPUT: The converted value of coefficient as type canonicalform // |
---|
903 | //////////////////////////////////////////////////////////////////////////////// |
---|
904 | |
---|
905 | CanonicalForm convertNTLGF2E2CF(GF2E coefficient,Variable x) |
---|
906 | { |
---|
907 | return convertNTLGF2X2CF(rep(coefficient),x); |
---|
908 | } |
---|
909 | |
---|
910 | //////////////////////////////////////////////////////////////////////////////// |
---|
911 | // NAME: convertNTLvec_pair_GF2EX_long2FacCFFList // |
---|
912 | // // |
---|
913 | // DESCRIPTION: // |
---|
914 | // Routine for converting a vector of polynomials from GF2EX to a CFFList // |
---|
915 | // of Factory. This routine will be used after a successful factorization // |
---|
916 | // of NTL to convert the result back to Factory. // |
---|
917 | // This is a special, but optimized case of the more general conversion // |
---|
918 | // from ZZpE to canonicalform. // |
---|
919 | // Additionally a variable x and the computed multiplicity, as a type GF2E // |
---|
920 | // of NTL, is needed as parameters indicating the main variable of the // |
---|
921 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
922 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
923 | // has to equal two and computations have to be done in an extention of F_2. // |
---|
924 | // // |
---|
925 | // INPUT: A vector of polynomials over GF2E of type vec_pair_GF2EX_long and // |
---|
926 | // a variable x and a multiplicity of type GF2E // |
---|
927 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
---|
928 | // have x as their main variable // |
---|
929 | //////////////////////////////////////////////////////////////////////////////// |
---|
930 | |
---|
931 | CFFList convertNTLvec_pair_GF2EX_long2FacCFFList |
---|
932 | (vec_pair_GF2EX_long e, GF2E /*multi*/, Variable x, Variable alpha) |
---|
933 | { |
---|
934 | CFFList result; |
---|
935 | GF2EX polynom; |
---|
936 | long exponent; |
---|
937 | CanonicalForm bigone; |
---|
938 | |
---|
939 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
940 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
941 | |
---|
942 | // multiplicity is always one, so we do not have to worry about that |
---|
943 | |
---|
944 | // Go through the vector e and build up the CFFList |
---|
945 | // As usual bigone summarizes the result during every loop |
---|
946 | for (int i=e.length()-1;i>=0;i--) |
---|
947 | { |
---|
948 | bigone=0; |
---|
949 | |
---|
950 | polynom=e[i].a; |
---|
951 | exponent=e[i].b; |
---|
952 | |
---|
953 | for (int j=0;j<=deg(polynom);j++) |
---|
954 | { |
---|
955 | if (IsOne(coeff(polynom,j))) |
---|
956 | { |
---|
957 | bigone+=power(x,j); |
---|
958 | } |
---|
959 | else |
---|
960 | { |
---|
961 | CanonicalForm coefficient=convertNTLGF2E2CF(coeff(polynom,j),alpha); |
---|
962 | if (coeff(polynom,j)!=0) |
---|
963 | { |
---|
964 | bigone += (power(x,j)*coefficient); |
---|
965 | } |
---|
966 | } |
---|
967 | } |
---|
968 | |
---|
969 | // append the computed polynomial together with its multiplicity |
---|
970 | result.append(CFFactor(bigone,exponent)); |
---|
971 | |
---|
972 | } |
---|
973 | // return the computed CFFList |
---|
974 | return result; |
---|
975 | } |
---|
976 | |
---|
977 | //////////////////////////////////////////////////// |
---|
978 | // CanonicalForm in Z_2(a)[X] to NTL GF2EX // |
---|
979 | //////////////////////////////////////////////////// |
---|
980 | GF2EX convertFacCF2NTLGF2EX(CanonicalForm f,GF2X mipo) |
---|
981 | { |
---|
982 | GF2E::init(mipo); |
---|
983 | GF2EX result; |
---|
984 | CFIterator i; |
---|
985 | i=f; |
---|
986 | |
---|
987 | int NTLcurrentExp=i.exp(); |
---|
988 | int largestExp=i.exp(); |
---|
989 | int k; |
---|
990 | |
---|
991 | result.SetMaxLength(largestExp+1); |
---|
992 | for(;i.hasTerms();i++) |
---|
993 | { |
---|
994 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
---|
995 | NTLcurrentExp=i.exp(); |
---|
996 | CanonicalForm c=i.coeff(); |
---|
997 | GF2X cc=convertFacCF2NTLGF2X(c); |
---|
998 | //ZZ_pE ccc; |
---|
999 | //conv(ccc,cc); |
---|
1000 | SetCoeff(result,NTLcurrentExp,to_GF2E(cc)); |
---|
1001 | NTLcurrentExp--; |
---|
1002 | } |
---|
1003 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
---|
1004 | result.normalize(); |
---|
1005 | return result; |
---|
1006 | } |
---|
1007 | //////////////////////////////////////////////////// |
---|
1008 | // CanonicalForm in Z_p(a)[X] to NTL ZZ_pEX // |
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1009 | //////////////////////////////////////////////////// |
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1010 | ZZ_pEX convertFacCF2NTLZZ_pEX(CanonicalForm f, ZZ_pX mipo) |
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1011 | { |
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1012 | ZZ_pE::init(mipo); |
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1013 | ZZ_pEX result; |
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1014 | CFIterator i; |
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1015 | i=f; |
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1016 | |
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1017 | int NTLcurrentExp=i.exp(); |
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1018 | int largestExp=i.exp(); |
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1019 | int k; |
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1020 | |
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1021 | result.SetMaxLength(largestExp+1); |
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1022 | for(;i.hasTerms();i++) |
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1023 | { |
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1024 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
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1025 | NTLcurrentExp=i.exp(); |
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1026 | CanonicalForm c=i.coeff(); |
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1027 | ZZ_pX cc=convertFacCF2NTLZZpX(c); |
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1028 | //ZZ_pE ccc; |
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1029 | //conv(ccc,cc); |
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1030 | SetCoeff(result,NTLcurrentExp,to_ZZ_pE(cc)); |
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1031 | NTLcurrentExp--; |
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1032 | } |
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1033 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
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1034 | result.normalize(); |
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1035 | return result; |
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1036 | } |
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1037 | zz_pEX convertFacCF2NTLzz_pEX(CanonicalForm f, zz_pX mipo) |
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1038 | { |
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1039 | zz_pE::init(mipo); |
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1040 | zz_pEX result; |
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1041 | CFIterator i; |
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1042 | i=f; |
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1043 | |
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1044 | int NTLcurrentExp=i.exp(); |
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1045 | int largestExp=i.exp(); |
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1046 | int k; |
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1047 | |
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1048 | result.SetMaxLength(largestExp+1); |
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1049 | for(;i.hasTerms();i++) |
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1050 | { |
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1051 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
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1052 | NTLcurrentExp=i.exp(); |
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1053 | CanonicalForm c=i.coeff(); |
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1054 | zz_pX cc=convertFacCF2NTLzzpX(c); |
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1055 | //ZZ_pE ccc; |
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1056 | //conv(ccc,cc); |
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1057 | SetCoeff(result,NTLcurrentExp,to_zz_pE(cc)); |
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1058 | NTLcurrentExp--; |
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1059 | } |
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1060 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
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1061 | result.normalize(); |
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1062 | return result; |
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1063 | } |
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1064 | |
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1065 | CanonicalForm convertNTLzz_pEX2CF (zz_pEX f, Variable x, Variable alpha) |
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1066 | { |
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1067 | CanonicalForm bigone; |
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1068 | if (deg (f) > 0) |
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1069 | { |
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1070 | bigone= 0; |
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1071 | bigone.mapinto(); |
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1072 | for (int j=0;j<deg(f)+1;j++) |
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1073 | { |
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1074 | if (coeff(f,j)!=0) |
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1075 | { |
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1076 | bigone+=(power(x,j)*convertNTLzzpE2CF(coeff(f,j),alpha)); |
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1077 | } |
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1078 | } |
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1079 | } |
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1080 | else |
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1081 | { |
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1082 | bigone= convertNTLzzpE2CF(coeff(f,0),alpha); |
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1083 | bigone.mapinto(); |
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1084 | } |
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1085 | return bigone; |
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1086 | } |
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1087 | //---------------------------------------------------------------------- |
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1088 | mat_ZZ* convertFacCFMatrix2NTLmat_ZZ(CFMatrix &m) |
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1089 | { |
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1090 | mat_ZZ *res=new mat_ZZ; |
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1091 | res->SetDims(m.rows(),m.columns()); |
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1092 | |
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1093 | int i,j; |
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1094 | for(i=m.rows();i>0;i--) |
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1095 | { |
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1096 | for(j=m.columns();j>0;j--) |
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1097 | { |
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1098 | (*res)(i,j)=convertFacCF2NTLZZ(m(i,j)); |
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1099 | } |
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1100 | } |
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1101 | return res; |
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1102 | } |
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1103 | CFMatrix* convertNTLmat_ZZ2FacCFMatrix(mat_ZZ &m) |
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1104 | { |
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1105 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
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1106 | int i,j; |
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1107 | for(i=res->rows();i>0;i--) |
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1108 | { |
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1109 | for(j=res->columns();j>0;j--) |
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1110 | { |
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1111 | (*res)(i,j)=convertZZ2CF(m(i,j)); |
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1112 | } |
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1113 | } |
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1114 | return res; |
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1115 | } |
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1116 | |
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1117 | mat_zz_p* convertFacCFMatrix2NTLmat_zz_p(CFMatrix &m) |
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1118 | { |
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1119 | mat_zz_p *res=new mat_zz_p; |
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1120 | res->SetDims(m.rows(),m.columns()); |
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1121 | |
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1122 | int i,j; |
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1123 | for(i=m.rows();i>0;i--) |
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1124 | { |
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1125 | for(j=m.columns();j>0;j--) |
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1126 | { |
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1127 | if(!(m(i,j)).isImm()) printf("convertFacCFMatrix2NTLmat_zz_p: not imm.\n"); |
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1128 | (*res)(i,j)=(m(i,j)).intval(); |
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1129 | } |
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1130 | } |
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1131 | return res; |
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1132 | } |
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1133 | CFMatrix* convertNTLmat_zz_p2FacCFMatrix(mat_zz_p &m) |
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1134 | { |
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1135 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
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1136 | int i,j; |
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1137 | for(i=res->rows();i>0;i--) |
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1138 | { |
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1139 | for(j=res->columns();j>0;j--) |
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1140 | { |
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1141 | (*res)(i,j)=CanonicalForm(to_long(rep(m(i,j)))); |
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1142 | } |
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1143 | } |
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1144 | return res; |
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1145 | } |
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1146 | mat_zz_pE* convertFacCFMatrix2NTLmat_zz_pE(CFMatrix &m) |
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1147 | { |
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1148 | mat_zz_pE *res=new mat_zz_pE; |
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1149 | res->SetDims(m.rows(),m.columns()); |
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1150 | |
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1151 | int i,j; |
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1152 | for(i=m.rows();i>0;i--) |
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1153 | { |
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1154 | for(j=m.columns();j>0;j--) |
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1155 | { |
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1156 | zz_pX cc=convertFacCF2NTLzzpX(m(i,j)); |
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1157 | (*res)(i,j)=to_zz_pE(cc); |
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1158 | } |
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1159 | } |
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1160 | return res; |
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1161 | } |
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1162 | CFMatrix* convertNTLmat_zz_pE2FacCFMatrix(mat_zz_pE &m, Variable alpha) |
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1163 | { |
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1164 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
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1165 | int i,j; |
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1166 | for(i=res->rows();i>0;i--) |
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1167 | { |
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1168 | for(j=res->columns();j>0;j--) |
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1169 | { |
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1170 | (*res)(i,j)=convertNTLzzpE2CF(m(i,j), alpha); |
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1171 | } |
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1172 | } |
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1173 | return res; |
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1174 | } |
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1175 | #endif |
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