1 | #include "config.h" |
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2 | |
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3 | #include "cf_assert.h" |
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4 | |
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5 | #include "cf_defs.h" |
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6 | #include "canonicalform.h" |
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7 | #include "cf_iter.h" |
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8 | #include "fac_berlekamp.h" |
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9 | #include "fac_cantzass.h" |
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10 | #include "fac_univar.h" |
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11 | #include "fac_multivar.h" |
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12 | #include "fac_sqrfree.h" |
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13 | #include "cf_algorithm.h" |
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14 | |
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15 | #include <factory/cf_gmp.h> |
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16 | |
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17 | #ifdef HAVE_NTL |
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18 | #ifndef NOSTREAMIO |
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19 | #ifdef HAVE_CSTDIO |
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20 | #include <cstdio> |
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21 | #else |
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22 | #include <stdio.h> |
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23 | #endif |
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24 | #endif |
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25 | #include <string.h> |
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26 | #include <NTL/ZZXFactoring.h> |
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27 | #include <NTL/ZZ_pXFactoring.h> |
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28 | #include <NTL/lzz_pXFactoring.h> |
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29 | #include <NTL/GF2XFactoring.h> |
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30 | #include <NTL/ZZ_pEXFactoring.h> |
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31 | #include <NTL/lzz_pEXFactoring.h> |
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32 | #include <NTL/GF2EXFactoring.h> |
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33 | #include <NTL/tools.h> |
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34 | #include <NTL/mat_ZZ.h> |
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35 | #include "int_int.h" |
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36 | #include <limits.h> |
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37 | #include "NTLconvert.h" |
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38 | |
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39 | #define Alloc(L) malloc(L) |
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40 | #define Free(A,L) free(A) |
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41 | |
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42 | void out_cf(const char *s1,const CanonicalForm &f,const char *s2); |
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43 | |
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44 | |
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45 | long fac_NTL_char = -1; // the current characterstic for NTL calls |
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46 | // -1: undefined |
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47 | #ifdef NTL_CLIENT // in <NTL/tools.h>: using of name space NTL |
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48 | NTL_CLIENT |
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49 | #endif |
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50 | |
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51 | //////////////////////////////////////////////////////////////////////////////// |
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52 | // NAME: convertFacCF2NTLZZpX // |
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53 | // // |
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54 | // DESCRIPTION: // |
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55 | // Conversion routine for Factory-type canonicalform into ZZpX of NTL, // |
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56 | // i.e. polynomials over F_p. As a precondition for correct execution, // |
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57 | // the characteristic has to a a prime number. // |
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58 | // // |
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59 | // INPUT: A canonicalform f // |
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60 | // OUTPUT: The converted NTL-polynomial over F_p of type ZZpX // |
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61 | //////////////////////////////////////////////////////////////////////////////// |
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62 | |
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63 | ZZ_pX convertFacCF2NTLZZpX(CanonicalForm f) |
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64 | { |
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65 | ZZ_pX ntl_poly; |
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66 | |
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67 | CFIterator i; |
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68 | i=f; |
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69 | |
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70 | int NTLcurrentExp=i.exp(); |
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71 | int largestExp=i.exp(); |
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72 | int k; |
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73 | |
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74 | // we now build up the NTL-polynomial |
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75 | ntl_poly.SetMaxLength(largestExp+1); |
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76 | |
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77 | for (;i.hasTerms();i++) |
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78 | { |
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79 | for (k=NTLcurrentExp;k>i.exp();k--) |
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80 | { |
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81 | SetCoeff(ntl_poly,k,0); |
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82 | } |
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83 | NTLcurrentExp=i.exp(); |
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84 | |
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85 | SetCoeff(ntl_poly,NTLcurrentExp,to_ZZ_p (convertFacCF2NTLZZ (i.coeff()))); |
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86 | NTLcurrentExp--; |
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87 | } |
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88 | |
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89 | //Set the remaining coefficients of ntl_poly to zero. |
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90 | // This is necessary, because NTL internally |
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91 | // also stores powers with zero coefficient, |
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92 | // whereas factory stores tuples of degree and coefficient |
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93 | //leaving out tuples if the coefficient equals zero |
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94 | for (k=NTLcurrentExp;k>=0;k--) |
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95 | { |
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96 | SetCoeff(ntl_poly,k,0); |
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97 | } |
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98 | |
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99 | //normalize the polynomial and return it |
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100 | ntl_poly.normalize(); |
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101 | |
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102 | return ntl_poly; |
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103 | } |
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104 | zz_pX convertFacCF2NTLzzpX(CanonicalForm f) |
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105 | { |
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106 | zz_pX ntl_poly; |
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107 | |
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108 | CFIterator i; |
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109 | i=f; |
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110 | |
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111 | int NTLcurrentExp=i.exp(); |
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112 | int largestExp=i.exp(); |
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113 | int k; |
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114 | |
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115 | // we now build up the NTL-polynomial |
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116 | ntl_poly.SetMaxLength(largestExp+1); |
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117 | |
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118 | for (;i.hasTerms();i++) |
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119 | { |
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120 | for (k=NTLcurrentExp;k>i.exp();k--) |
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121 | { |
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122 | SetCoeff(ntl_poly,k,0); |
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123 | } |
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124 | NTLcurrentExp=i.exp(); |
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125 | |
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126 | CanonicalForm c=i.coeff(); |
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127 | if (!c.isImm()) c=c.mapinto(); //c%= getCharacteristic(); |
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128 | if (!c.isImm()) |
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129 | { //This case will never happen if the characteristic is in fact a prime |
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130 | // number, since all coefficients are represented as immediates |
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131 | #ifndef NOSTREAMIO |
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132 | cout<<"convertFacCF2NTLzz_pX: coefficient not immediate! : "<<f<<"\n"; |
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133 | #else |
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134 | //NTL_SNS |
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135 | printf("convertFacCF2NTLzz_pX: coefficient not immediate!, char=%d\n", |
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136 | getCharacteristic()); |
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137 | #endif |
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138 | NTL_SNS exit(1); |
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139 | } |
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140 | else |
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141 | { |
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142 | SetCoeff(ntl_poly,NTLcurrentExp,c.intval()); |
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143 | } |
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144 | NTLcurrentExp--; |
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145 | } |
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146 | |
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147 | //Set the remaining coefficients of ntl_poly to zero. |
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148 | // This is necessary, because NTL internally |
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149 | // also stores powers with zero coefficient, |
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150 | // whereas factory stores tuples of degree and coefficient |
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151 | //leaving out tuples if the coefficient equals zero |
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152 | for (k=NTLcurrentExp;k>=0;k--) |
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153 | { |
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154 | SetCoeff(ntl_poly,k,0); |
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155 | } |
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156 | |
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157 | //normalize the polynomial and return it |
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158 | ntl_poly.normalize(); |
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159 | |
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160 | return ntl_poly; |
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161 | } |
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162 | |
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163 | //////////////////////////////////////////////////////////////////////////////// |
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164 | // NAME: convertFacCF2NTLGF2X // |
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165 | // // |
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166 | // DESCRIPTION: // |
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167 | // Conversion routine for Factory-type canonicalform into GF2X of NTL, // |
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168 | // i.e. polynomials over F_2. As precondition for correct execution, // |
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169 | // the characteristic must equal two. // |
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170 | // This is a special case of the more general conversion routine for // |
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171 | // canonicalform to ZZpX. It is included because NTL provides additional // |
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172 | // support and faster algorithms over F_2, moreover the conversion code // |
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173 | // can be optimized, because certain steps are either completely obsolent // |
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174 | // (like normalizing the polynomial) or they can be made significantly // |
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175 | // faster (like building up the NTL-polynomial). // |
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176 | // // |
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177 | // INPUT: A canonicalform f // |
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178 | // OUTPUT: The converted NTL-polynomial over F_2 of type GF2X // |
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179 | //////////////////////////////////////////////////////////////////////////////// |
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180 | |
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181 | GF2X convertFacCF2NTLGF2X(CanonicalForm f) |
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182 | { |
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183 | //printf("convertFacCF2NTLGF2X\n"); |
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184 | GF2X ntl_poly; |
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185 | |
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186 | CFIterator i; |
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187 | i=f; |
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188 | |
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189 | int NTLcurrentExp=i.exp(); |
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190 | int largestExp=i.exp(); |
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191 | int k; |
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192 | |
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193 | //building the NTL-polynomial |
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194 | ntl_poly.SetMaxLength(largestExp+1); |
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195 | |
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196 | for (;i.hasTerms();i++) |
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197 | { |
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198 | |
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199 | for (k=NTLcurrentExp;k>i.exp();k--) |
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200 | { |
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201 | SetCoeff(ntl_poly,k,0); |
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202 | } |
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203 | NTLcurrentExp=i.exp(); |
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204 | |
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205 | if (!i.coeff().isImm()) i.coeff()=i.coeff().mapinto(); |
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206 | if (!i.coeff().isImm()) |
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207 | { |
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208 | #ifndef NOSTREAMIO |
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209 | cout<<"convertFacCF2NTLGF2X: coefficient not immidiate! : " << f << "\n"; |
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210 | #else |
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211 | //NTL_SNS |
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212 | printf("convertFacCF2NTLGF2X: coefficient not immidiate!"); |
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213 | #endif |
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214 | NTL_SNS exit(1); |
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215 | } |
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216 | else |
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217 | { |
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218 | SetCoeff(ntl_poly,NTLcurrentExp,i.coeff().intval()); |
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219 | } |
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220 | NTLcurrentExp--; |
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221 | } |
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222 | for (k=NTLcurrentExp;k>=0;k--) |
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223 | { |
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224 | SetCoeff(ntl_poly,k,0); |
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225 | } |
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226 | //normalization is not necessary of F_2 |
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227 | |
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228 | return ntl_poly; |
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229 | } |
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230 | |
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231 | |
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232 | //////////////////////////////////////////////////////////////////////////////// |
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233 | // NAME: convertNTLZZpX2CF // |
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234 | // // |
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235 | // DESCRIPTION: // |
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236 | // Conversion routine for NTL-Type ZZpX to Factory-Type canonicalform. // |
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237 | // Additionally a variable x is needed as a parameter indicating the // |
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238 | // main variable of the computed canonicalform. To guarantee the correct // |
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239 | // execution of the algorithm, the characteristic has a be an arbitrary // |
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240 | // prime number. // |
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241 | // // |
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242 | // INPUT: A canonicalform f, a variable x // |
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243 | // OUTPUT: The converted Factory-polynomial of type canonicalform, // |
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244 | // built by the main variable x // |
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245 | //////////////////////////////////////////////////////////////////////////////// |
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246 | |
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247 | CanonicalForm convertNTLZZpX2CF(ZZ_pX poly,Variable x) |
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248 | { |
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249 | return convertNTLZZX2CF (to_ZZX (poly), x); |
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250 | } |
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251 | |
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252 | CanonicalForm convertNTLzzpX2CF(zz_pX poly,Variable x) |
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253 | { |
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254 | //printf("convertNTLzzpX2CF\n"); |
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255 | CanonicalForm bigone; |
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256 | |
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257 | |
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258 | if (deg(poly)>0) |
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259 | { |
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260 | // poly is non-constant |
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261 | bigone=0; |
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262 | bigone.mapinto(); |
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263 | // Compute the canonicalform coefficient by coefficient, |
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264 | // bigone summarizes the result. |
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265 | for (int j=0;j<=deg(poly);j++) |
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266 | { |
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267 | if (coeff(poly,j)!=0) |
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268 | { |
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269 | bigone+=(power(x,j)*CanonicalForm(to_long(rep(coeff(poly,j))))); |
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270 | } |
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271 | } |
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272 | } |
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273 | else |
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274 | { |
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275 | // poly is immediate |
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276 | bigone=CanonicalForm(to_long(rep(coeff(poly,0)))); |
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277 | bigone.mapinto(); |
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278 | } |
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279 | return bigone; |
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280 | } |
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281 | |
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282 | CanonicalForm convertNTLZZX2CF(ZZX polynom,Variable x) |
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283 | { |
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284 | //printf("convertNTLZZX2CF\n"); |
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285 | CanonicalForm bigone; |
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286 | |
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287 | // Go through the vector e and build up the CFFList |
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288 | // As usual bigone summarizes the result |
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289 | bigone=0; |
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290 | ZZ coefficient; |
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291 | |
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292 | for (int j=0;j<=deg(polynom);j++) |
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293 | { |
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294 | coefficient=coeff(polynom,j); |
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295 | if (!IsZero(coefficient)) |
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296 | { |
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297 | bigone += (power(x,j)*convertZZ2CF(coefficient)); |
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298 | } |
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299 | } |
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300 | return bigone; |
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301 | } |
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302 | |
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303 | //////////////////////////////////////////////////////////////////////////////// |
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304 | // NAME: convertNTLGF2X2CF // |
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305 | // // |
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306 | // DESCRIPTION: // |
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307 | // Conversion routine for NTL-Type GF2X to Factory-Type canonicalform, // |
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308 | // the routine is again an optimized special case of the more general // |
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309 | // conversion to ZZpX. Additionally a variable x is needed as a // |
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310 | // parameter indicating the main variable of the computed canonicalform. // |
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311 | // To guarantee the correct execution of the algorithm the characteristic // |
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312 | // has a be an arbitrary prime number. // |
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313 | // // |
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314 | // INPUT: A canonicalform f, a variable x // |
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315 | // OUTPUT: The converted Factory-polynomial of type canonicalform, // |
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316 | // built by the main variable x // |
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317 | //////////////////////////////////////////////////////////////////////////////// |
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318 | |
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319 | CanonicalForm convertNTLGF2X2CF(GF2X poly,Variable x) |
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320 | { |
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321 | //printf("convertNTLGF2X2CF\n"); |
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322 | CanonicalForm bigone; |
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323 | |
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324 | if (deg(poly)>0) |
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325 | { |
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326 | // poly is non-constant |
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327 | bigone=0; |
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328 | bigone.mapinto(); |
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329 | // Compute the canonicalform coefficient by coefficient, |
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330 | // bigone summarizes the result. |
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331 | // In constrast to the more general conversion to ZZpX |
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332 | // the only possible coefficients are zero |
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333 | // and one yielding the following simplified loop |
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334 | for (int j=0;j<=deg(poly);j++) |
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335 | { |
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336 | if (coeff(poly,j)!=0) bigone+=power(x,j); |
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337 | // *CanonicalForm(to_long(rep(coeff(poly,j))))) is not necessary any more; |
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338 | } |
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339 | } |
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340 | else |
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341 | { |
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342 | // poly is immediate |
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343 | bigone=CanonicalForm(to_long(rep(coeff(poly,0)))); |
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344 | bigone.mapinto(); |
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345 | } |
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346 | |
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347 | return bigone; |
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348 | } |
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349 | |
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350 | //////////////////////////////////////////////////////////////////////////////// |
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351 | // NAME: convertNTLvec_pair_ZZpX_long2FacCFFList // |
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352 | // // |
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353 | // DESCRIPTION: // |
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354 | // Routine for converting a vector of polynomials from ZZpX to // |
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355 | // a CFFList of Factory. This routine will be used after a successful // |
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356 | // factorization of NTL to convert the result back to Factory. // |
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357 | // // |
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358 | // Additionally a variable x and the computed multiplicity, as a type ZZp // |
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359 | // of NTL, is needed as parameters indicating the main variable of the // |
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360 | // computed canonicalform and the multiplicity of the original polynomial. // |
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361 | // To guarantee the correct execution of the algorithm the characteristic // |
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362 | // has a be an arbitrary prime number. // |
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363 | // // |
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364 | // INPUT: A vector of polynomials over ZZp of type vec_pair_ZZ_pX_long and // |
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365 | // a variable x and a multiplicity of type ZZp // |
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366 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
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367 | // have x as their main variable // |
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368 | //////////////////////////////////////////////////////////////////////////////// |
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369 | |
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370 | CFFList convertNTLvec_pair_ZZpX_long2FacCFFList |
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371 | (vec_pair_ZZ_pX_long e,ZZ_p multi,Variable x) |
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372 | { |
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373 | //printf("convertNTLvec_pair_ZZpX_long2FacCFFList\n"); |
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374 | CFFList result; |
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375 | ZZ_pX polynom; |
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376 | CanonicalForm bigone; |
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377 | |
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378 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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379 | // but this is not |
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380 | //important for the factorization, but nevertheless would take computing time, |
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381 | // so it is omitted |
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382 | |
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383 | |
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384 | // Go through the vector e and compute the CFFList |
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385 | // again bigone summarizes the result |
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386 | for (int i=e.length()-1;i>=0;i--) |
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387 | { |
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388 | result.append(CFFactor(convertNTLZZpX2CF(e[i].a,x),e[i].b)); |
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389 | } |
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390 | // the multiplicity at pos 1 |
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391 | if (!IsOne(multi)) |
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392 | result.insert(CFFactor(CanonicalForm(to_long(rep(multi))),1)); |
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393 | return result; |
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394 | } |
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395 | CFFList convertNTLvec_pair_zzpX_long2FacCFFList |
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396 | (vec_pair_zz_pX_long e,zz_p multi,Variable x) |
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397 | { |
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398 | //printf("convertNTLvec_pair_zzpX_long2FacCFFList\n"); |
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399 | CFFList result; |
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400 | zz_pX polynom; |
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401 | CanonicalForm bigone; |
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402 | |
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403 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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404 | // but this is not |
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405 | //important for the factorization, but nevertheless would take computing time, |
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406 | // so it is omitted |
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407 | |
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408 | |
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409 | // Go through the vector e and compute the CFFList |
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410 | // again bigone summarizes the result |
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411 | for (int i=e.length()-1;i>=0;i--) |
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412 | { |
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413 | result.append(CFFactor(convertNTLzzpX2CF(e[i].a,x),e[i].b)); |
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414 | } |
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415 | // the multiplicity at pos 1 |
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416 | if (!IsOne(multi)) |
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417 | result.insert(CFFactor(CanonicalForm(to_long(rep(multi))),1)); |
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418 | return result; |
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419 | } |
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420 | |
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421 | //////////////////////////////////////////////////////////////////////////////// |
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422 | // NAME: convertNTLvec_pair_GF2X_long2FacCFFList // |
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423 | // // |
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424 | // DESCRIPTION: // |
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425 | // Routine for converting a vector of polynomials of type GF2X from // |
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426 | // NTL to a list CFFList of Factory. This routine will be used after a // |
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427 | // successful factorization of NTL to convert the result back to Factory. // |
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428 | // As usual this is simply a special case of the more general conversion // |
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429 | // routine but again speeded up by leaving out unnecessary steps. // |
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430 | // Additionally a variable x and the computed multiplicity, as type // |
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431 | // GF2 of NTL, are needed as parameters indicating the main variable of the // |
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432 | // computed canonicalform and the multiplicity of the original polynomial. // |
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433 | // To guarantee the correct execution of the algorithm the characteristic // |
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434 | // has a be an arbitrary prime number. // |
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435 | // // |
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436 | // INPUT: A vector of polynomials over GF2 of type vec_pair_GF2X_long and // |
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437 | // a variable x and a multiplicity of type GF2 // |
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438 | // OUTPUT: The converted list of polynomials of type CFFList, all // |
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439 | // polynomials have x as their main variable // |
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440 | //////////////////////////////////////////////////////////////////////////////// |
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441 | |
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442 | CFFList convertNTLvec_pair_GF2X_long2FacCFFList |
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443 | (vec_pair_GF2X_long e, GF2 /*multi*/, Variable x) |
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444 | { |
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445 | //printf("convertNTLvec_pair_GF2X_long2FacCFFList\n"); |
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446 | CFFList result; |
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447 | GF2X polynom; |
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448 | long exponent; |
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449 | CanonicalForm bigone; |
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450 | |
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451 | // Maybe, e may additionally be sorted with respect to increasing degree of x |
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452 | // but this is not |
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453 | //important for the factorization, but nevertheless would take computing time |
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454 | // so it is omitted. |
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455 | |
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456 | //We do not have to worry about the multiplicity in GF2 since it equals one. |
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457 | |
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458 | // Go through the vector e and compute the CFFList |
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459 | // bigone summarizes the result again |
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460 | for (int i=e.length()-1;i>=0;i--) |
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461 | { |
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462 | bigone=0; |
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463 | |
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464 | polynom=e[i].a; |
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465 | exponent=e[i].b; |
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466 | for (int j=0;j<=deg(polynom);j++) |
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467 | { |
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468 | if (coeff(polynom,j)!=0) |
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469 | bigone += (power(x,j)*CanonicalForm(to_long(rep(coeff(polynom,j))))); |
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470 | } |
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471 | |
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472 | //append the converted polynomial to the CFFList |
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473 | result.append(CFFactor(bigone,exponent)); |
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474 | } |
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475 | return result; |
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476 | } |
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477 | |
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478 | //////////////////////////////////////////////////////////////////////////////// |
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479 | // NAME: convertZZ2CF // |
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480 | // // |
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481 | // DESCRIPTION: // |
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482 | // Routine for conversion of integers represented in NTL as Type ZZ to // |
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483 | // integers in Factory represented as canonicalform. // |
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484 | // To guarantee the correct execution of the algorithm the characteristic // |
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485 | // has to equal zero. // |
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486 | // // |
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487 | // INPUT: The value coefficient of type ZZ that has to be converted // |
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488 | // OUTPUT: The converted Factory-integer of type canonicalform // |
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489 | //////////////////////////////////////////////////////////////////////////////// |
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490 | |
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491 | static unsigned char *cf_stringtemp; |
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492 | static unsigned long cf_stringtemp_l=0L; |
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493 | CanonicalForm |
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494 | convertZZ2CF (ZZ a) |
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495 | { |
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496 | long coeff_long=to_long(a); |
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497 | |
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498 | CanonicalForm result; |
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499 | if ( (NumBits(a)<((long)NTL_ZZ_NBITS)) |
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500 | && (coeff_long>((long)MINIMMEDIATE)) |
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501 | && (coeff_long<((long)MAXIMMEDIATE))) |
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502 | { |
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503 | return CanonicalForm(coeff_long); |
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504 | } |
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505 | else |
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506 | { |
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507 | long sizeofrep= ((long *) a.rep) [1]; |
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508 | bool lessZero= false; |
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509 | if (sizeofrep < 0) |
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510 | { |
---|
511 | lessZero= true; |
---|
512 | sizeofrep= -sizeofrep; |
---|
513 | } |
---|
514 | if (cf_stringtemp_l == 0) |
---|
515 | { |
---|
516 | cf_stringtemp_l= sizeofrep*sizeof(mp_limb_t)*2; |
---|
517 | cf_stringtemp= (unsigned char*) Alloc (cf_stringtemp_l); |
---|
518 | } |
---|
519 | else if (cf_stringtemp_l < sizeofrep*sizeof(mp_limb_t)*2) |
---|
520 | { |
---|
521 | Free (cf_stringtemp, cf_stringtemp_l); |
---|
522 | cf_stringtemp_l= sizeofrep*sizeof(mp_limb_t)*2; |
---|
523 | cf_stringtemp= (unsigned char*) Alloc (cf_stringtemp_l); |
---|
524 | } |
---|
525 | int cc= mpn_get_str (cf_stringtemp, 16, (mp_limb_t *) (((long *) (a.rep)) + 2), sizeofrep); |
---|
526 | |
---|
527 | char* cf_stringtemp2; |
---|
528 | if (lessZero) |
---|
529 | { |
---|
530 | cf_stringtemp2= new char [cc + 2]; |
---|
531 | cf_stringtemp2[0]='-'; |
---|
532 | for (int j= 1; j <= cc; j++) |
---|
533 | cf_stringtemp2[j]= IntValToChar ((int) cf_stringtemp [j-1]); |
---|
534 | cf_stringtemp2[cc+1]='\0'; |
---|
535 | } |
---|
536 | else |
---|
537 | { |
---|
538 | cf_stringtemp2= new char [cc + 1]; |
---|
539 | for (int j= 0; j < cc; j++) |
---|
540 | cf_stringtemp2[j]= IntValToChar ((int) cf_stringtemp [j]); |
---|
541 | cf_stringtemp2[cc]='\0'; |
---|
542 | } |
---|
543 | |
---|
544 | result= CanonicalForm (cf_stringtemp2, 16); |
---|
545 | delete [] cf_stringtemp2; |
---|
546 | return result; |
---|
547 | } |
---|
548 | return result; |
---|
549 | } |
---|
550 | |
---|
551 | /*static char *cf_stringtemp; |
---|
552 | static char *cf_stringtemp2; |
---|
553 | static int cf_stringtemp_l=0; |
---|
554 | CanonicalForm convertZZ2CF(ZZ coefficient) |
---|
555 | { |
---|
556 | long coeff_long; |
---|
557 | //CanonicalForm tmp=0; |
---|
558 | char dummy[2]; |
---|
559 | int minusremainder=0; |
---|
560 | char numbers[]="0123456789abcdef"; |
---|
561 | |
---|
562 | coeff_long=to_long(coefficient); |
---|
563 | |
---|
564 | //Test whether coefficient can be represented as an immediate integer in Factory |
---|
565 | if ( (NumBits(coefficient)<((long)NTL_ZZ_NBITS)) |
---|
566 | && (coeff_long>((long)MINIMMEDIATE)) |
---|
567 | && (coeff_long<((long)MAXIMMEDIATE))) |
---|
568 | { |
---|
569 | // coefficient is immediate --> return the coefficient as canonicalform |
---|
570 | return CanonicalForm(coeff_long); |
---|
571 | } |
---|
572 | else |
---|
573 | { |
---|
574 | // coefficient is not immediate (gmp-number) |
---|
575 | if (cf_stringtemp_l==0) |
---|
576 | { |
---|
577 | cf_stringtemp=(char *)Alloc(1023); |
---|
578 | cf_stringtemp2=(char *)Alloc(1023); |
---|
579 | cf_stringtemp[0]='\0'; |
---|
580 | cf_stringtemp2[0]='\0'; |
---|
581 | cf_stringtemp_l=1023; |
---|
582 | } |
---|
583 | |
---|
584 | // convert coefficient to char* (input for gmp) |
---|
585 | dummy[1]='\0'; |
---|
586 | |
---|
587 | if (coefficient<0) |
---|
588 | { |
---|
589 | // negate coefficient, but store the sign in minusremainder |
---|
590 | minusremainder=1; |
---|
591 | coefficient=-coefficient; |
---|
592 | } |
---|
593 | |
---|
594 | int l=0; |
---|
595 | while (coefficient>15) |
---|
596 | { |
---|
597 | ZZ quotient,remaind; |
---|
598 | ZZ ten;ten=16; |
---|
599 | DivRem(quotient,remaind,coefficient,ten); |
---|
600 | dummy[0]=numbers[to_long(remaind)]; |
---|
601 | //tmp*=10; tmp+=to_long(remaind); |
---|
602 | |
---|
603 | l++; |
---|
604 | if (l>=cf_stringtemp_l-2) |
---|
605 | { |
---|
606 | Free(cf_stringtemp2,cf_stringtemp_l); |
---|
607 | char *p=(char *)Alloc(cf_stringtemp_l*2); |
---|
608 | //NTL_SNS |
---|
609 | memcpy(p,cf_stringtemp,cf_stringtemp_l); |
---|
610 | Free(cf_stringtemp,cf_stringtemp_l); |
---|
611 | cf_stringtemp_l*=2; |
---|
612 | cf_stringtemp=p; |
---|
613 | cf_stringtemp2=(char *)Alloc(cf_stringtemp_l); |
---|
614 | } |
---|
615 | cf_stringtemp[l-1]=dummy[0]; |
---|
616 | cf_stringtemp[l]='\0'; |
---|
617 | //strcat(stringtemp,dummy); |
---|
618 | |
---|
619 | coefficient=quotient; |
---|
620 | } |
---|
621 | //built up the string in dummy[0] |
---|
622 | dummy[0]=numbers[to_long(coefficient)]; |
---|
623 | //NTL_SNS |
---|
624 | l++; |
---|
625 | cf_stringtemp[l-1]=dummy[0]; |
---|
626 | cf_stringtemp[l]='\0'; |
---|
627 | //tmp*=10; tmp+=to_long(coefficient); |
---|
628 | |
---|
629 | if (minusremainder==1) |
---|
630 | { |
---|
631 | //Check whether coefficient has been negative at the start of the procedure |
---|
632 | cf_stringtemp2[0]='-'; |
---|
633 | //tmp*=(-1); |
---|
634 | } |
---|
635 | |
---|
636 | //reverse the list to obtain the correct string |
---|
637 | //NTL_SNS |
---|
638 | for (int i=l-1;i>=0;i--) // l ist the position of \0 |
---|
639 | { |
---|
640 | cf_stringtemp2[l-i-1+minusremainder]=cf_stringtemp[i]; |
---|
641 | } |
---|
642 | cf_stringtemp2[l+minusremainder]='\0'; |
---|
643 | } |
---|
644 | |
---|
645 | //convert the string to canonicalform using the char*-Constructor |
---|
646 | return CanonicalForm(cf_stringtemp2,16); |
---|
647 | //return tmp; |
---|
648 | }*/ |
---|
649 | |
---|
650 | //////////////////////////////////////////////////////////////////////////////// |
---|
651 | // NAME: convertFacCF2NTLZZX // |
---|
652 | // // |
---|
653 | // DESCRIPTION: // |
---|
654 | // Routine for conversion of canonicalforms in Factory to polynomials // |
---|
655 | // of type ZZX of NTL. To guarantee the correct execution of the // |
---|
656 | // algorithm the characteristic has to equal zero. // |
---|
657 | // // |
---|
658 | // INPUT: The canonicalform that has to be converted // |
---|
659 | // OUTPUT: The converted NTL-polynom of type ZZX // |
---|
660 | //////////////////////////////////////////////////////////////////////////////// |
---|
661 | |
---|
662 | ZZ convertFacCF2NTLZZ(const CanonicalForm f) |
---|
663 | { |
---|
664 | ZZ temp; |
---|
665 | if (f.isImm()) temp=f.intval(); |
---|
666 | else |
---|
667 | { |
---|
668 | //Coefficient is a gmp-number |
---|
669 | mpz_t gmp_val; |
---|
670 | char* stringtemp; |
---|
671 | |
---|
672 | f.mpzval (gmp_val); |
---|
673 | int l=mpz_sizeinbase(gmp_val,10)+2; |
---|
674 | stringtemp=(char*)Alloc(l); |
---|
675 | stringtemp=mpz_get_str(stringtemp,10,gmp_val); |
---|
676 | mpz_clear(gmp_val); |
---|
677 | conv(temp,stringtemp); |
---|
678 | Free(stringtemp,l); |
---|
679 | } |
---|
680 | return temp; |
---|
681 | } |
---|
682 | |
---|
683 | ZZX convertFacCF2NTLZZX(CanonicalForm f) |
---|
684 | { |
---|
685 | ZZX ntl_poly; |
---|
686 | |
---|
687 | CFIterator i; |
---|
688 | i=f; |
---|
689 | |
---|
690 | int NTLcurrentExp=i.exp(); |
---|
691 | int largestExp=i.exp(); |
---|
692 | int k; |
---|
693 | |
---|
694 | //set the length of the NTL-polynomial |
---|
695 | ntl_poly.SetMaxLength(largestExp+1); |
---|
696 | |
---|
697 | //Go through the coefficients of the canonicalform and build up the NTL-polynomial |
---|
698 | for (;i.hasTerms();i++) |
---|
699 | { |
---|
700 | for (k=NTLcurrentExp;k>i.exp();k--) |
---|
701 | { |
---|
702 | SetCoeff(ntl_poly,k,0); |
---|
703 | } |
---|
704 | NTLcurrentExp=i.exp(); |
---|
705 | |
---|
706 | //Coefficient is a gmp-number |
---|
707 | ZZ temp=convertFacCF2NTLZZ(i.coeff()); |
---|
708 | |
---|
709 | //set the computed coefficient |
---|
710 | SetCoeff(ntl_poly,NTLcurrentExp,temp); |
---|
711 | |
---|
712 | NTLcurrentExp--; |
---|
713 | } |
---|
714 | for (k=NTLcurrentExp;k>=0;k--) |
---|
715 | { |
---|
716 | SetCoeff(ntl_poly,k,0); |
---|
717 | } |
---|
718 | |
---|
719 | //normalize the polynomial |
---|
720 | ntl_poly.normalize(); |
---|
721 | |
---|
722 | return ntl_poly; |
---|
723 | } |
---|
724 | |
---|
725 | //////////////////////////////////////////////////////////////////////////////// |
---|
726 | // NAME: convertNTLvec_pair_ZZX_long2FacCFFList // |
---|
727 | // // |
---|
728 | // DESCRIPTION: // |
---|
729 | // Routine for converting a vector of polynomials from ZZ to a list // |
---|
730 | // CFFList of Factory. This routine will be used after a successful // |
---|
731 | // factorization of NTL to convert the result back to Factory. // |
---|
732 | // Additionally a variable x and the computed multiplicity, as a type // |
---|
733 | // ZZ of NTL, is needed as parameters indicating the main variable of the // |
---|
734 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
735 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
736 | // has to equal zero. // |
---|
737 | // // |
---|
738 | // INPUT: A vector of polynomials over ZZ of type vec_pair_ZZX_long and // |
---|
739 | // a variable x and a multiplicity of type ZZ // |
---|
740 | // OUTPUT: The converted list of polynomials of type CFFList, all // |
---|
741 | // have x as their main variable // |
---|
742 | //////////////////////////////////////////////////////////////////////////////// |
---|
743 | |
---|
744 | CFFList convertNTLvec_pair_ZZX_long2FacCFFList(vec_pair_ZZX_long e,ZZ multi,Variable x) |
---|
745 | { |
---|
746 | CFFList result; |
---|
747 | ZZX polynom; |
---|
748 | long exponent; |
---|
749 | CanonicalForm bigone; |
---|
750 | |
---|
751 | // Go through the vector e and build up the CFFList |
---|
752 | // As usual bigone summarizes the result |
---|
753 | for (int i=e.length()-1;i>=0;i--) |
---|
754 | { |
---|
755 | ZZ coefficient; |
---|
756 | polynom=e[i].a; |
---|
757 | exponent=e[i].b; |
---|
758 | bigone=convertNTLZZX2CF(polynom,x); |
---|
759 | //append the converted polynomial to the list |
---|
760 | result.append(CFFactor(bigone,exponent)); |
---|
761 | } |
---|
762 | // the multiplicity at pos 1 |
---|
763 | //if (!IsOne(multi)) |
---|
764 | result.insert(CFFactor(convertZZ2CF(multi),1)); |
---|
765 | |
---|
766 | //return the converted list |
---|
767 | return result; |
---|
768 | } |
---|
769 | |
---|
770 | |
---|
771 | //////////////////////////////////////////////////////////////////////////////// |
---|
772 | // NAME: convertNTLZZpX2CF // |
---|
773 | // // |
---|
774 | // DESCRIPTION: // |
---|
775 | // Routine for conversion of elements of arbitrary extensions of ZZp, // |
---|
776 | // having type ZZpE, of NTL to their corresponding values of type // |
---|
777 | // canonicalform in Factory. // |
---|
778 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
779 | // has to be an arbitrary prime number and Factory has to compute in an // |
---|
780 | // extension of F_p. // |
---|
781 | // // |
---|
782 | // INPUT: The coefficient of type ZZpE and the variable x indicating the main// |
---|
783 | // variable of the computed canonicalform // |
---|
784 | // OUTPUT: The converted value of coefficient as type canonicalform // |
---|
785 | //////////////////////////////////////////////////////////////////////////////// |
---|
786 | |
---|
787 | CanonicalForm convertNTLZZpE2CF(ZZ_pE coefficient,Variable x) |
---|
788 | { |
---|
789 | return convertNTLZZpX2CF(rep(coefficient),x); |
---|
790 | } |
---|
791 | CanonicalForm convertNTLzzpE2CF(zz_pE coefficient,Variable x) |
---|
792 | { |
---|
793 | return convertNTLzzpX2CF(rep(coefficient),x); |
---|
794 | } |
---|
795 | |
---|
796 | //////////////////////////////////////////////////////////////////////////////// |
---|
797 | // NAME: convertNTLvec_pair_ZZpEX_long2FacCFFList // |
---|
798 | // // |
---|
799 | // DESCRIPTION: // |
---|
800 | // Routine for converting a vector of polynomials from ZZpEX to a CFFList // |
---|
801 | // of Factory. This routine will be used after a successful factorization // |
---|
802 | // of NTL to convert the result back to Factory. // |
---|
803 | // Additionally a variable x and the computed multiplicity, as a type // |
---|
804 | // ZZpE of NTL, is needed as parameters indicating the main variable of the // |
---|
805 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
806 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
807 | // has a be an arbitrary prime number p and computations have to be done // |
---|
808 | // in an extention of F_p. // |
---|
809 | // // |
---|
810 | // INPUT: A vector of polynomials over ZZpE of type vec_pair_ZZ_pEX_long and // |
---|
811 | // a variable x and a multiplicity of type ZZpE // |
---|
812 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
---|
813 | // have x as their main variable // |
---|
814 | //////////////////////////////////////////////////////////////////////////////// |
---|
815 | |
---|
816 | CFFList convertNTLvec_pair_ZZpEX_long2FacCFFList(vec_pair_ZZ_pEX_long e,ZZ_pE multi,Variable x,Variable alpha) |
---|
817 | { |
---|
818 | CFFList result; |
---|
819 | ZZ_pEX polynom; |
---|
820 | long exponent; |
---|
821 | CanonicalForm bigone; |
---|
822 | |
---|
823 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
824 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
825 | |
---|
826 | // Go through the vector e and build up the CFFList |
---|
827 | // As usual bigone summarizes the result during every loop |
---|
828 | for (int i=e.length()-1;i>=0;i--) |
---|
829 | { |
---|
830 | bigone=0; |
---|
831 | |
---|
832 | polynom=e[i].a; |
---|
833 | exponent=e[i].b; |
---|
834 | |
---|
835 | for (int j=0;j<=deg(polynom);j++) |
---|
836 | { |
---|
837 | if (IsOne(coeff(polynom,j))) |
---|
838 | { |
---|
839 | bigone+=power(x,j); |
---|
840 | } |
---|
841 | else |
---|
842 | { |
---|
843 | CanonicalForm coefficient=convertNTLZZpE2CF(coeff(polynom,j),alpha); |
---|
844 | if (coeff(polynom,j)!=0) |
---|
845 | { |
---|
846 | bigone += (power(x,j)*coefficient); |
---|
847 | } |
---|
848 | } |
---|
849 | } |
---|
850 | //append the computed polynomials together with its exponent to the CFFList |
---|
851 | result.append(CFFactor(bigone,exponent)); |
---|
852 | } |
---|
853 | // Start by appending the multiplicity |
---|
854 | if (!IsOne(multi)) |
---|
855 | result.insert(CFFactor(convertNTLZZpE2CF(multi,alpha),1)); |
---|
856 | |
---|
857 | //return the computed CFFList |
---|
858 | return result; |
---|
859 | } |
---|
860 | CFFList convertNTLvec_pair_zzpEX_long2FacCFFList(vec_pair_zz_pEX_long e,zz_pE multi,Variable x,Variable alpha) |
---|
861 | { |
---|
862 | CFFList result; |
---|
863 | zz_pEX polynom; |
---|
864 | long exponent; |
---|
865 | CanonicalForm bigone; |
---|
866 | |
---|
867 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
868 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
869 | |
---|
870 | // Go through the vector e and build up the CFFList |
---|
871 | // As usual bigone summarizes the result during every loop |
---|
872 | for (int i=e.length()-1;i>=0;i--) |
---|
873 | { |
---|
874 | bigone=0; |
---|
875 | |
---|
876 | polynom=e[i].a; |
---|
877 | exponent=e[i].b; |
---|
878 | |
---|
879 | for (int j=0;j<=deg(polynom);j++) |
---|
880 | { |
---|
881 | if (IsOne(coeff(polynom,j))) |
---|
882 | { |
---|
883 | bigone+=power(x,j); |
---|
884 | } |
---|
885 | else |
---|
886 | { |
---|
887 | CanonicalForm coefficient=convertNTLzzpE2CF(coeff(polynom,j),alpha); |
---|
888 | if (coeff(polynom,j)!=0) |
---|
889 | { |
---|
890 | bigone += (power(x,j)*coefficient); |
---|
891 | } |
---|
892 | } |
---|
893 | } |
---|
894 | //append the computed polynomials together with its exponent to the CFFList |
---|
895 | result.append(CFFactor(bigone,exponent)); |
---|
896 | } |
---|
897 | // Start by appending the multiplicity |
---|
898 | if (!IsOne(multi)) |
---|
899 | result.insert(CFFactor(convertNTLzzpE2CF(multi,alpha),1)); |
---|
900 | |
---|
901 | //return the computed CFFList |
---|
902 | return result; |
---|
903 | } |
---|
904 | |
---|
905 | //////////////////////////////////////////////////////////////////////////////// |
---|
906 | // NAME: convertNTLGF2E2CF // |
---|
907 | // // |
---|
908 | // DESCRIPTION: // |
---|
909 | // Routine for conversion of elements of extensions of GF2, having type // |
---|
910 | // GF2E, of NTL to their corresponding values of type canonicalform in // |
---|
911 | // Factory. // |
---|
912 | // To guarantee the correct execution of the algorithm, the characteristic // |
---|
913 | // must equal two and Factory has to compute in an extension of F_2. // |
---|
914 | // As usual this is an optimized special case of the more general conversion // |
---|
915 | // routine from ZZpE to Factory. // |
---|
916 | // // |
---|
917 | // INPUT: The coefficient of type GF2E and the variable x indicating the // |
---|
918 | // main variable of the computed canonicalform // |
---|
919 | // OUTPUT: The converted value of coefficient as type canonicalform // |
---|
920 | //////////////////////////////////////////////////////////////////////////////// |
---|
921 | |
---|
922 | CanonicalForm convertNTLGF2E2CF(GF2E coefficient,Variable x) |
---|
923 | { |
---|
924 | return convertNTLGF2X2CF(rep(coefficient),x); |
---|
925 | } |
---|
926 | |
---|
927 | //////////////////////////////////////////////////////////////////////////////// |
---|
928 | // NAME: convertNTLvec_pair_GF2EX_long2FacCFFList // |
---|
929 | // // |
---|
930 | // DESCRIPTION: // |
---|
931 | // Routine for converting a vector of polynomials from GF2EX to a CFFList // |
---|
932 | // of Factory. This routine will be used after a successful factorization // |
---|
933 | // of NTL to convert the result back to Factory. // |
---|
934 | // This is a special, but optimized case of the more general conversion // |
---|
935 | // from ZZpE to canonicalform. // |
---|
936 | // Additionally a variable x and the computed multiplicity, as a type GF2E // |
---|
937 | // of NTL, is needed as parameters indicating the main variable of the // |
---|
938 | // computed canonicalform and the multiplicity of the original polynomial. // |
---|
939 | // To guarantee the correct execution of the algorithm the characteristic // |
---|
940 | // has to equal two and computations have to be done in an extention of F_2. // |
---|
941 | // // |
---|
942 | // INPUT: A vector of polynomials over GF2E of type vec_pair_GF2EX_long and // |
---|
943 | // a variable x and a multiplicity of type GF2E // |
---|
944 | // OUTPUT: The converted list of polynomials of type CFFList, all polynomials // |
---|
945 | // have x as their main variable // |
---|
946 | //////////////////////////////////////////////////////////////////////////////// |
---|
947 | |
---|
948 | CFFList convertNTLvec_pair_GF2EX_long2FacCFFList |
---|
949 | (vec_pair_GF2EX_long e, GF2E /*multi*/, Variable x, Variable alpha) |
---|
950 | { |
---|
951 | CFFList result; |
---|
952 | GF2EX polynom; |
---|
953 | long exponent; |
---|
954 | CanonicalForm bigone; |
---|
955 | |
---|
956 | // Maybe, e may additionally be sorted with respect to increasing degree of x, but this is not |
---|
957 | //important for the factorization, but nevertheless would take computing time, so it is omitted |
---|
958 | |
---|
959 | // multiplicity is always one, so we do not have to worry about that |
---|
960 | |
---|
961 | // Go through the vector e and build up the CFFList |
---|
962 | // As usual bigone summarizes the result during every loop |
---|
963 | for (int i=e.length()-1;i>=0;i--) |
---|
964 | { |
---|
965 | bigone=0; |
---|
966 | |
---|
967 | polynom=e[i].a; |
---|
968 | exponent=e[i].b; |
---|
969 | |
---|
970 | for (int j=0;j<=deg(polynom);j++) |
---|
971 | { |
---|
972 | if (IsOne(coeff(polynom,j))) |
---|
973 | { |
---|
974 | bigone+=power(x,j); |
---|
975 | } |
---|
976 | else |
---|
977 | { |
---|
978 | CanonicalForm coefficient=convertNTLGF2E2CF(coeff(polynom,j),alpha); |
---|
979 | if (coeff(polynom,j)!=0) |
---|
980 | { |
---|
981 | bigone += (power(x,j)*coefficient); |
---|
982 | } |
---|
983 | } |
---|
984 | } |
---|
985 | |
---|
986 | // append the computed polynomial together with its multiplicity |
---|
987 | result.append(CFFactor(bigone,exponent)); |
---|
988 | |
---|
989 | } |
---|
990 | // return the computed CFFList |
---|
991 | return result; |
---|
992 | } |
---|
993 | |
---|
994 | //////////////////////////////////////////////////// |
---|
995 | // CanonicalForm in Z_2(a)[X] to NTL GF2EX // |
---|
996 | //////////////////////////////////////////////////// |
---|
997 | GF2EX convertFacCF2NTLGF2EX(CanonicalForm f,GF2X mipo) |
---|
998 | { |
---|
999 | GF2E::init(mipo); |
---|
1000 | GF2EX result; |
---|
1001 | CFIterator i; |
---|
1002 | i=f; |
---|
1003 | |
---|
1004 | int NTLcurrentExp=i.exp(); |
---|
1005 | int largestExp=i.exp(); |
---|
1006 | int k; |
---|
1007 | |
---|
1008 | result.SetMaxLength(largestExp+1); |
---|
1009 | for(;i.hasTerms();i++) |
---|
1010 | { |
---|
1011 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
---|
1012 | NTLcurrentExp=i.exp(); |
---|
1013 | CanonicalForm c=i.coeff(); |
---|
1014 | GF2X cc=convertFacCF2NTLGF2X(c); |
---|
1015 | //ZZ_pE ccc; |
---|
1016 | //conv(ccc,cc); |
---|
1017 | SetCoeff(result,NTLcurrentExp,to_GF2E(cc)); |
---|
1018 | NTLcurrentExp--; |
---|
1019 | } |
---|
1020 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
---|
1021 | result.normalize(); |
---|
1022 | return result; |
---|
1023 | } |
---|
1024 | //////////////////////////////////////////////////// |
---|
1025 | // CanonicalForm in Z_p(a)[X] to NTL ZZ_pEX // |
---|
1026 | //////////////////////////////////////////////////// |
---|
1027 | ZZ_pEX convertFacCF2NTLZZ_pEX(CanonicalForm f, ZZ_pX mipo) |
---|
1028 | { |
---|
1029 | ZZ_pE::init(mipo); |
---|
1030 | ZZ_pEX result; |
---|
1031 | CFIterator i; |
---|
1032 | i=f; |
---|
1033 | |
---|
1034 | int NTLcurrentExp=i.exp(); |
---|
1035 | int largestExp=i.exp(); |
---|
1036 | int k; |
---|
1037 | |
---|
1038 | result.SetMaxLength(largestExp+1); |
---|
1039 | for(;i.hasTerms();i++) |
---|
1040 | { |
---|
1041 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
---|
1042 | NTLcurrentExp=i.exp(); |
---|
1043 | CanonicalForm c=i.coeff(); |
---|
1044 | ZZ_pX cc=convertFacCF2NTLZZpX(c); |
---|
1045 | //ZZ_pE ccc; |
---|
1046 | //conv(ccc,cc); |
---|
1047 | SetCoeff(result,NTLcurrentExp,to_ZZ_pE(cc)); |
---|
1048 | NTLcurrentExp--; |
---|
1049 | } |
---|
1050 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
---|
1051 | result.normalize(); |
---|
1052 | return result; |
---|
1053 | } |
---|
1054 | zz_pEX convertFacCF2NTLzz_pEX(CanonicalForm f, zz_pX mipo) |
---|
1055 | { |
---|
1056 | zz_pE::init(mipo); |
---|
1057 | zz_pEX result; |
---|
1058 | CFIterator i; |
---|
1059 | i=f; |
---|
1060 | |
---|
1061 | int NTLcurrentExp=i.exp(); |
---|
1062 | int largestExp=i.exp(); |
---|
1063 | int k; |
---|
1064 | |
---|
1065 | result.SetMaxLength(largestExp+1); |
---|
1066 | for(;i.hasTerms();i++) |
---|
1067 | { |
---|
1068 | for(k=NTLcurrentExp;k>i.exp();k--) SetCoeff(result,k,0); |
---|
1069 | NTLcurrentExp=i.exp(); |
---|
1070 | CanonicalForm c=i.coeff(); |
---|
1071 | zz_pX cc=convertFacCF2NTLzzpX(c); |
---|
1072 | //ZZ_pE ccc; |
---|
1073 | //conv(ccc,cc); |
---|
1074 | SetCoeff(result,NTLcurrentExp,to_zz_pE(cc)); |
---|
1075 | NTLcurrentExp--; |
---|
1076 | } |
---|
1077 | for(k=NTLcurrentExp;k>=0;k--) SetCoeff(result,k,0); |
---|
1078 | result.normalize(); |
---|
1079 | return result; |
---|
1080 | } |
---|
1081 | |
---|
1082 | CanonicalForm convertNTLzz_pEX2CF (zz_pEX f, Variable x, Variable alpha) |
---|
1083 | { |
---|
1084 | CanonicalForm bigone; |
---|
1085 | if (deg (f) > 0) |
---|
1086 | { |
---|
1087 | bigone= 0; |
---|
1088 | bigone.mapinto(); |
---|
1089 | for (int j=0;j<deg(f)+1;j++) |
---|
1090 | { |
---|
1091 | if (coeff(f,j)!=0) |
---|
1092 | { |
---|
1093 | bigone+=(power(x,j)*convertNTLzzpE2CF(coeff(f,j),alpha)); |
---|
1094 | } |
---|
1095 | } |
---|
1096 | } |
---|
1097 | else |
---|
1098 | { |
---|
1099 | bigone= convertNTLzzpE2CF(coeff(f,0),alpha); |
---|
1100 | bigone.mapinto(); |
---|
1101 | } |
---|
1102 | return bigone; |
---|
1103 | } |
---|
1104 | |
---|
1105 | CanonicalForm convertNTLZZ_pEX2CF (ZZ_pEX f, Variable x, Variable alpha) |
---|
1106 | { |
---|
1107 | CanonicalForm bigone; |
---|
1108 | if (deg (f) > 0) |
---|
1109 | { |
---|
1110 | bigone= 0; |
---|
1111 | bigone.mapinto(); |
---|
1112 | for (int j=0;j<deg(f)+1;j++) |
---|
1113 | { |
---|
1114 | if (coeff(f,j)!=0) |
---|
1115 | { |
---|
1116 | bigone+=(power(x,j)*convertNTLZZpE2CF(coeff(f,j),alpha)); |
---|
1117 | } |
---|
1118 | } |
---|
1119 | } |
---|
1120 | else |
---|
1121 | { |
---|
1122 | bigone= convertNTLZZpE2CF(coeff(f,0),alpha); |
---|
1123 | bigone.mapinto(); |
---|
1124 | } |
---|
1125 | return bigone; |
---|
1126 | } |
---|
1127 | //---------------------------------------------------------------------- |
---|
1128 | mat_ZZ* convertFacCFMatrix2NTLmat_ZZ(CFMatrix &m) |
---|
1129 | { |
---|
1130 | mat_ZZ *res=new mat_ZZ; |
---|
1131 | res->SetDims(m.rows(),m.columns()); |
---|
1132 | |
---|
1133 | int i,j; |
---|
1134 | for(i=m.rows();i>0;i--) |
---|
1135 | { |
---|
1136 | for(j=m.columns();j>0;j--) |
---|
1137 | { |
---|
1138 | (*res)(i,j)=convertFacCF2NTLZZ(m(i,j)); |
---|
1139 | } |
---|
1140 | } |
---|
1141 | return res; |
---|
1142 | } |
---|
1143 | CFMatrix* convertNTLmat_ZZ2FacCFMatrix(mat_ZZ &m) |
---|
1144 | { |
---|
1145 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
---|
1146 | int i,j; |
---|
1147 | for(i=res->rows();i>0;i--) |
---|
1148 | { |
---|
1149 | for(j=res->columns();j>0;j--) |
---|
1150 | { |
---|
1151 | (*res)(i,j)=convertZZ2CF(m(i,j)); |
---|
1152 | } |
---|
1153 | } |
---|
1154 | return res; |
---|
1155 | } |
---|
1156 | |
---|
1157 | mat_zz_p* convertFacCFMatrix2NTLmat_zz_p(CFMatrix &m) |
---|
1158 | { |
---|
1159 | mat_zz_p *res=new mat_zz_p; |
---|
1160 | res->SetDims(m.rows(),m.columns()); |
---|
1161 | |
---|
1162 | int i,j; |
---|
1163 | for(i=m.rows();i>0;i--) |
---|
1164 | { |
---|
1165 | for(j=m.columns();j>0;j--) |
---|
1166 | { |
---|
1167 | if(!(m(i,j)).isImm()) printf("convertFacCFMatrix2NTLmat_zz_p: not imm.\n"); |
---|
1168 | (*res)(i,j)=(m(i,j)).intval(); |
---|
1169 | } |
---|
1170 | } |
---|
1171 | return res; |
---|
1172 | } |
---|
1173 | CFMatrix* convertNTLmat_zz_p2FacCFMatrix(mat_zz_p &m) |
---|
1174 | { |
---|
1175 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
---|
1176 | int i,j; |
---|
1177 | for(i=res->rows();i>0;i--) |
---|
1178 | { |
---|
1179 | for(j=res->columns();j>0;j--) |
---|
1180 | { |
---|
1181 | (*res)(i,j)=CanonicalForm(to_long(rep(m(i,j)))); |
---|
1182 | } |
---|
1183 | } |
---|
1184 | return res; |
---|
1185 | } |
---|
1186 | mat_zz_pE* convertFacCFMatrix2NTLmat_zz_pE(CFMatrix &m) |
---|
1187 | { |
---|
1188 | mat_zz_pE *res=new mat_zz_pE; |
---|
1189 | res->SetDims(m.rows(),m.columns()); |
---|
1190 | |
---|
1191 | int i,j; |
---|
1192 | for(i=m.rows();i>0;i--) |
---|
1193 | { |
---|
1194 | for(j=m.columns();j>0;j--) |
---|
1195 | { |
---|
1196 | zz_pX cc=convertFacCF2NTLzzpX(m(i,j)); |
---|
1197 | (*res)(i,j)=to_zz_pE(cc); |
---|
1198 | } |
---|
1199 | } |
---|
1200 | return res; |
---|
1201 | } |
---|
1202 | CFMatrix* convertNTLmat_zz_pE2FacCFMatrix(mat_zz_pE &m, Variable alpha) |
---|
1203 | { |
---|
1204 | CFMatrix *res=new CFMatrix(m.NumRows(),m.NumCols()); |
---|
1205 | int i,j; |
---|
1206 | for(i=res->rows();i>0;i--) |
---|
1207 | { |
---|
1208 | for(j=res->columns();j>0;j--) |
---|
1209 | { |
---|
1210 | (*res)(i,j)=convertNTLzzpE2CF(m(i,j), alpha); |
---|
1211 | } |
---|
1212 | } |
---|
1213 | return res; |
---|
1214 | } |
---|
1215 | #endif |
---|