1 | number pInitContent(poly ph); |
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2 | number pInitContent_a(poly ph); |
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3 | |
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4 | void p_Content(poly ph, const ring r) |
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5 | { |
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6 | #ifdef HAVE_RINGS |
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7 | if (rField_is_Ring(r)) |
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8 | { |
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9 | if (ph!=NULL) |
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10 | { |
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11 | number k = nGetUnit(pGetCoeff(ph)); |
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12 | if (!nGreaterZero(pGetCoeff(ph))) k = nNeg(k); // in-place negation |
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13 | if (!nIsOne(k)) |
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14 | { |
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15 | number tmpNumber = k; |
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16 | k = nInvers(k); |
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17 | nDelete(&tmpNumber); |
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18 | poly h = pNext(ph); |
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19 | p_Mult_nn(ph,k,currRing); |
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20 | pNormalize(ph); |
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21 | } |
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22 | nDelete(&k); |
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23 | } |
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24 | return; |
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25 | } |
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26 | #endif |
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27 | number h,d; |
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28 | poly p; |
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29 | |
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30 | // if(TEST_OPT_CONTENTSB) return; |
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31 | if(pNext(ph)==NULL) |
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32 | { |
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33 | pSetCoeff(ph,nInit(1)); |
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34 | } |
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35 | else |
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36 | { |
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37 | nNormalize(pGetCoeff(ph)); |
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38 | if(!nGreaterZero(pGetCoeff(ph))) ph = pNeg(ph); |
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39 | if (rField_is_Q()) |
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40 | { |
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41 | h=pInitContent(ph); |
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42 | p=ph; |
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43 | } |
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44 | else if ((rField_is_Extension(r)) |
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45 | && ((rPar(r)>1)||(r->minpoly==NULL))) |
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46 | { |
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47 | h=pInitContent_a(ph); |
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48 | p=ph; |
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49 | } |
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50 | else |
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51 | { |
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52 | h=nCopy(pGetCoeff(ph)); |
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53 | p = pNext(ph); |
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54 | } |
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55 | while (p!=NULL) |
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56 | { |
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57 | nNormalize(pGetCoeff(p)); |
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58 | d=nGcd(h,pGetCoeff(p),r); |
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59 | nDelete(&h); |
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60 | h = d; |
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61 | if(nIsOne(h)) |
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62 | { |
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63 | break; |
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64 | } |
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65 | pIter(p); |
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66 | } |
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67 | p = ph; |
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68 | //number tmp; |
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69 | if(!nIsOne(h)) |
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70 | { |
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71 | while (p!=NULL) |
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72 | { |
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73 | //d = nDiv(pGetCoeff(p),h); |
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74 | //tmp = nIntDiv(pGetCoeff(p),h); |
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75 | //if (!nEqual(d,tmp)) |
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76 | //{ |
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77 | // StringSetS("** div0:");nWrite(pGetCoeff(p));StringAppendS("/"); |
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78 | // nWrite(h);StringAppendS("=");nWrite(d);StringAppendS(" int:"); |
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79 | // nWrite(tmp);Print(StringAppendS("\n")); |
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80 | //} |
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81 | //nDelete(&tmp); |
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82 | if (rField_is_Zp_a(currRing) || rField_is_Q_a(currRing)) |
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83 | d = nDiv(pGetCoeff(p),h); |
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84 | else |
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85 | d = nIntDiv(pGetCoeff(p),h); |
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86 | pSetCoeff(p,d); |
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87 | pIter(p); |
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88 | } |
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89 | } |
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90 | nDelete(&h); |
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91 | #ifdef HAVE_FACTORY |
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92 | if ( (nGetChar() == 1) || (nGetChar() < 0) ) /* Q[a],Q(a),Zp[a],Z/p(a) */ |
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93 | { |
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94 | singclap_divide_content(ph); |
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95 | if(!nGreaterZero(pGetCoeff(ph))) ph = pNeg(ph); |
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96 | } |
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97 | #endif |
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98 | if (rField_is_Q_a(r)) |
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99 | { |
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100 | number hzz = nlInit(1, r); |
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101 | h = nlInit(1, r); |
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102 | p=ph; |
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103 | while (p!=NULL) |
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104 | { // each monom: coeff in Q_a |
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105 | lnumber c_n_n=(lnumber)pGetCoeff(p); |
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106 | napoly c_n=c_n_n->z; |
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107 | while (c_n!=NULL) |
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108 | { // each monom: coeff in Q |
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109 | d=nlLcm(hzz,pGetCoeff(c_n),r->algring); |
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110 | n_Delete(&hzz,r->algring); |
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111 | hzz=d; |
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112 | pIter(c_n); |
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113 | } |
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114 | c_n=c_n_n->n; |
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115 | while (c_n!=NULL) |
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116 | { // each monom: coeff in Q |
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117 | d=nlLcm(h,pGetCoeff(c_n),r->algring); |
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118 | n_Delete(&h,r->algring); |
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119 | h=d; |
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120 | pIter(c_n); |
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121 | } |
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122 | pIter(p); |
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123 | } |
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124 | /* hzz contains the 1/lcm of all denominators in c_n_n->z*/ |
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125 | /* h contains the 1/lcm of all denominators in c_n_n->n*/ |
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126 | number htmp=nlInvers(h); |
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127 | number hzztmp=nlInvers(hzz); |
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128 | number hh=nlMult(hzz,h); |
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129 | nlDelete(&hzz,r->algring); |
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130 | nlDelete(&h,r->algring); |
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131 | number hg=nlGcd(hzztmp,htmp,r->algring); |
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132 | nlDelete(&hzztmp,r->algring); |
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133 | nlDelete(&htmp,r->algring); |
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134 | h=nlMult(hh,hg); |
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135 | nlDelete(&hg,r->algring); |
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136 | nlDelete(&hh,r->algring); |
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137 | nlNormalize(h); |
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138 | if(!nlIsOne(h)) |
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139 | { |
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140 | p=ph; |
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141 | while (p!=NULL) |
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142 | { // each monom: coeff in Q_a |
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143 | lnumber c_n_n=(lnumber)pGetCoeff(p); |
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144 | napoly c_n=c_n_n->z; |
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145 | while (c_n!=NULL) |
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146 | { // each monom: coeff in Q |
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147 | d=nlMult(h,pGetCoeff(c_n)); |
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148 | nlNormalize(d); |
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149 | nlDelete(&pGetCoeff(c_n),r->algring); |
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150 | pGetCoeff(c_n)=d; |
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151 | pIter(c_n); |
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152 | } |
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153 | c_n=c_n_n->n; |
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154 | while (c_n!=NULL) |
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155 | { // each monom: coeff in Q |
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156 | d=nlMult(h,pGetCoeff(c_n)); |
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157 | nlNormalize(d); |
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158 | nlDelete(&pGetCoeff(c_n),r->algring); |
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159 | pGetCoeff(c_n)=d; |
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160 | pIter(c_n); |
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161 | } |
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162 | pIter(p); |
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163 | } |
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164 | } |
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165 | nlDelete(&h,r->algring); |
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166 | } |
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167 | } |
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168 | } |
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169 | |
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170 | void pSimpleContent(poly ph,int smax) |
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171 | { |
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172 | //if(TEST_OPT_CONTENTSB) return; |
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173 | if (ph==NULL) return; |
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174 | if (pNext(ph)==NULL) |
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175 | { |
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176 | pSetCoeff(ph,nInit(1)); |
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177 | return; |
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178 | } |
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179 | if ((pNext(pNext(ph))==NULL)||(!rField_is_Q())) |
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180 | { |
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181 | return; |
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182 | } |
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183 | number d=pInitContent(ph); |
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184 | if (nlSize(d)<=smax) |
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185 | { |
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186 | //if (TEST_OPT_PROT) PrintS("G"); |
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187 | return; |
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188 | } |
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189 | poly p=ph; |
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190 | number h=d; |
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191 | if (smax==1) smax=2; |
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192 | while (p!=NULL) |
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193 | { |
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194 | #if 0 |
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195 | d=nlGcd(h,pGetCoeff(p),currRing); |
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196 | nlDelete(&h,currRing); |
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197 | h = d; |
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198 | #else |
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199 | nlInpGcd(h,pGetCoeff(p),currRing); |
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200 | #endif |
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201 | if(nlSize(h)<smax) |
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202 | { |
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203 | //if (TEST_OPT_PROT) PrintS("g"); |
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204 | return; |
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205 | } |
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206 | pIter(p); |
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207 | } |
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208 | p = ph; |
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209 | if (!nlGreaterZero(pGetCoeff(p))) h=nlNeg(h); |
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210 | if(nlIsOne(h)) return; |
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211 | //if (TEST_OPT_PROT) PrintS("c"); |
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212 | // |
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213 | number inv=nlInvers(h); |
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214 | p_Mult_nn(p,inv,currRing); |
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215 | pNormalize(p); |
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216 | //while (p!=NULL) |
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217 | //{ |
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218 | #if 1 |
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219 | // d = nlIntDiv(pGetCoeff(p),h); |
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220 | // pSetCoeff(p,d); |
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221 | #else |
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222 | // nlInpIntDiv(pGetCoeff(p),h,currRing); |
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223 | #endif |
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224 | // pIter(p); |
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225 | //} |
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226 | nlDelete(&inv,currRing); |
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227 | nlDelete(&h,currRing); |
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228 | } |
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229 | |
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230 | number pInitContent(poly ph) |
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231 | // only for coefficients in Q |
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232 | #if 0 |
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233 | { |
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234 | //assume(!TEST_OPT_CONTENTSB); |
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235 | assume(ph!=NULL); |
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236 | assume(pNext(ph)!=NULL); |
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237 | assume(rField_is_Q()); |
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238 | if (pNext(pNext(ph))==NULL) |
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239 | { |
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240 | return nlGetNom(pGetCoeff(pNext(ph)),currRing); |
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241 | } |
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242 | poly p=ph; |
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243 | number n1=nlGetNom(pGetCoeff(p),currRing); |
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244 | pIter(p); |
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245 | number n2=nlGetNom(pGetCoeff(p),currRing); |
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246 | pIter(p); |
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247 | number d; |
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248 | number t; |
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249 | loop |
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250 | { |
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251 | nlNormalize(pGetCoeff(p)); |
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252 | t=nlGetNom(pGetCoeff(p),currRing); |
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253 | if (nlGreaterZero(t)) |
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254 | d=nlAdd(n1,t); |
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255 | else |
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256 | d=nlSub(n1,t); |
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257 | nlDelete(&t,currRing); |
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258 | nlDelete(&n1,currRing); |
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259 | n1=d; |
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260 | pIter(p); |
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261 | if (p==NULL) break; |
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262 | nlNormalize(pGetCoeff(p)); |
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263 | t=nlGetNom(pGetCoeff(p),currRing); |
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264 | if (nlGreaterZero(t)) |
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265 | d=nlAdd(n2,t); |
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266 | else |
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267 | d=nlSub(n2,t); |
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268 | nlDelete(&t,currRing); |
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269 | nlDelete(&n2,currRing); |
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270 | n2=d; |
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271 | pIter(p); |
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272 | if (p==NULL) break; |
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273 | } |
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274 | d=nlGcd(n1,n2,currRing); |
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275 | nlDelete(&n1,currRing); |
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276 | nlDelete(&n2,currRing); |
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277 | return d; |
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278 | } |
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279 | #else |
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280 | { |
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281 | number d=pGetCoeff(ph); |
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282 | if(SR_HDL(d)&SR_INT) return d; |
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283 | int s=mpz_size1(d->z); |
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284 | int s2=-1; |
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285 | number d2; |
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286 | loop |
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287 | { |
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288 | pIter(ph); |
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289 | if(ph==NULL) |
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290 | { |
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291 | if (s2==-1) return nlCopy(d); |
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292 | break; |
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293 | } |
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294 | if (SR_HDL(pGetCoeff(ph))&SR_INT) |
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295 | { |
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296 | s2=s; |
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297 | d2=d; |
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298 | s=0; |
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299 | d=pGetCoeff(ph); |
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300 | if (s2==0) break; |
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301 | } |
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302 | else |
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303 | if (mpz_size1((pGetCoeff(ph)->z))<=s) |
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304 | { |
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305 | s2=s; |
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306 | d2=d; |
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307 | d=pGetCoeff(ph); |
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308 | s=mpz_size1(d->z); |
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309 | } |
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310 | } |
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311 | return nlGcd(d,d2,currRing); |
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312 | } |
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313 | #endif |
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314 | |
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315 | number pInitContent_a(poly ph) |
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316 | // only for coefficients in K(a) anf K(a,...) |
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317 | { |
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318 | number d=pGetCoeff(ph); |
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319 | int s=naParDeg(d); |
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320 | if (s /* naParDeg(d)*/ <=1) return naCopy(d); |
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321 | int s2=-1; |
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322 | number d2; |
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323 | int ss; |
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324 | loop |
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325 | { |
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326 | pIter(ph); |
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327 | if(ph==NULL) |
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328 | { |
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329 | if (s2==-1) return naCopy(d); |
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330 | break; |
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331 | } |
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332 | if ((ss=naParDeg(pGetCoeff(ph)))<s) |
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333 | { |
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334 | s2=s; |
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335 | d2=d; |
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336 | s=ss; |
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337 | d=pGetCoeff(ph); |
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338 | if (s2<=1) break; |
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339 | } |
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340 | } |
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341 | return naGcd(d,d2,currRing); |
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342 | } |
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343 | |
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344 | |
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345 | //void pContent(poly ph) |
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346 | //{ |
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347 | // number h,d; |
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348 | // poly p; |
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349 | // |
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350 | // p = ph; |
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351 | // if(pNext(p)==NULL) |
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352 | // { |
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353 | // pSetCoeff(p,nInit(1)); |
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354 | // } |
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355 | // else |
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356 | // { |
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357 | //#ifdef PDEBUG |
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358 | // if (!pTest(p)) return; |
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359 | //#endif |
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360 | // nNormalize(pGetCoeff(p)); |
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361 | // if(!nGreaterZero(pGetCoeff(ph))) |
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362 | // { |
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363 | // ph = pNeg(ph); |
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364 | // nNormalize(pGetCoeff(p)); |
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365 | // } |
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366 | // h=pGetCoeff(p); |
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367 | // pIter(p); |
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368 | // while (p!=NULL) |
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369 | // { |
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370 | // nNormalize(pGetCoeff(p)); |
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371 | // if (nGreater(h,pGetCoeff(p))) h=pGetCoeff(p); |
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372 | // pIter(p); |
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373 | // } |
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374 | // h=nCopy(h); |
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375 | // p=ph; |
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376 | // while (p!=NULL) |
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377 | // { |
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378 | // d=nGcd(h,pGetCoeff(p)); |
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379 | // nDelete(&h); |
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380 | // h = d; |
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381 | // if(nIsOne(h)) |
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382 | // { |
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383 | // break; |
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384 | // } |
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385 | // pIter(p); |
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386 | // } |
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387 | // p = ph; |
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388 | // //number tmp; |
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389 | // if(!nIsOne(h)) |
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390 | // { |
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391 | // while (p!=NULL) |
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392 | // { |
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393 | // d = nIntDiv(pGetCoeff(p),h); |
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394 | // pSetCoeff(p,d); |
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395 | // pIter(p); |
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396 | // } |
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397 | // } |
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398 | // nDelete(&h); |
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399 | //#ifdef HAVE_FACTORY |
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400 | // if ( (nGetChar() == 1) || (nGetChar() < 0) ) /* Q[a],Q(a),Zp[a],Z/p(a) */ |
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401 | // { |
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402 | // pTest(ph); |
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403 | // singclap_divide_content(ph); |
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404 | // pTest(ph); |
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405 | // } |
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406 | //#endif |
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407 | // } |
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408 | //} |
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409 | #if 0 |
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410 | void p_Content(poly ph, ring r) |
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411 | { |
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412 | number h,d; |
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413 | poly p; |
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414 | |
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415 | if(pNext(ph)==NULL) |
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416 | { |
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417 | pSetCoeff(ph,n_Init(1,r)); |
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418 | } |
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419 | else |
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420 | { |
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421 | n_Normalize(pGetCoeff(ph),r); |
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422 | if(!n_GreaterZero(pGetCoeff(ph),r)) ph = p_Neg(ph,r); |
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423 | h=n_Copy(pGetCoeff(ph),r); |
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424 | p = pNext(ph); |
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425 | while (p!=NULL) |
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426 | { |
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427 | n_Normalize(pGetCoeff(p),r); |
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428 | d=n_Gcd(h,pGetCoeff(p),r); |
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429 | n_Delete(&h,r); |
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430 | h = d; |
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431 | if(n_IsOne(h,r)) |
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432 | { |
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433 | break; |
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434 | } |
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435 | pIter(p); |
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436 | } |
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437 | p = ph; |
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438 | //number tmp; |
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439 | if(!n_IsOne(h,r)) |
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440 | { |
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441 | while (p!=NULL) |
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442 | { |
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443 | //d = nDiv(pGetCoeff(p),h); |
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444 | //tmp = nIntDiv(pGetCoeff(p),h); |
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445 | //if (!nEqual(d,tmp)) |
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446 | //{ |
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447 | // StringSetS("** div0:");nWrite(pGetCoeff(p));StringAppendS("/"); |
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448 | // nWrite(h);StringAppendS("=");nWrite(d);StringAppendS(" int:"); |
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449 | // nWrite(tmp);Print(StringAppendS("\n")); |
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450 | //} |
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451 | //nDelete(&tmp); |
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452 | d = n_IntDiv(pGetCoeff(p),h,r); |
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453 | p_SetCoeff(p,d,r); |
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454 | pIter(p); |
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455 | } |
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456 | } |
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457 | n_Delete(&h,r); |
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458 | #ifdef HAVE_FACTORY |
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459 | //if ( (n_GetChar(r) == 1) || (n_GetChar(r) < 0) ) /* Q[a],Q(a),Zp[a],Z/p(a) */ |
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460 | //{ |
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461 | // singclap_divide_content(ph); |
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462 | // if(!n_GreaterZero(pGetCoeff(ph),r)) ph = p_Neg(ph,r); |
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463 | //} |
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464 | #endif |
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465 | } |
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466 | } |
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467 | #endif |
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468 | |
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469 | poly p_Cleardenom(poly ph, const ring r) |
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470 | { |
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471 | poly start=ph; |
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472 | number d, h; |
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473 | poly p; |
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474 | |
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475 | #ifdef HAVE_RINGS |
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476 | if (rField_is_Ring(r)) |
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477 | { |
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478 | p_Content(ph,r); |
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479 | return start; |
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480 | } |
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481 | #endif |
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482 | if (rField_is_Zp(r) && TEST_OPT_INTSTRATEGY) return start; |
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483 | p = ph; |
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484 | if(pNext(p)==NULL) |
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485 | { |
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486 | /* |
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487 | if (TEST_OPT_CONTENTSB) |
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488 | { |
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489 | number n=nGetDenom(pGetCoeff(p)); |
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490 | if (!nIsOne(n)) |
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491 | { |
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492 | number nn=nMult(pGetCoeff(p),n); |
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493 | nNormalize(nn); |
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494 | pSetCoeff(p,nn); |
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495 | } |
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496 | nDelete(&n); |
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497 | } |
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498 | else |
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499 | */ |
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500 | pSetCoeff(p,nInit(1)); |
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501 | } |
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502 | else |
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503 | { |
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504 | h = nInit(1); |
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505 | while (p!=NULL) |
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506 | { |
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507 | nNormalize(pGetCoeff(p)); |
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508 | d=nLcm(h,pGetCoeff(p),currRing); |
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509 | nDelete(&h); |
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510 | h=d; |
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511 | pIter(p); |
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512 | } |
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513 | /* contains the 1/lcm of all denominators */ |
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514 | if(!nIsOne(h)) |
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515 | { |
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516 | p = ph; |
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517 | while (p!=NULL) |
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518 | { |
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519 | /* should be: |
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520 | * number hh; |
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521 | * nGetDenom(p->coef,&hh); |
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522 | * nMult(&h,&hh,&d); |
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523 | * nNormalize(d); |
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524 | * nDelete(&hh); |
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525 | * nMult(d,p->coef,&hh); |
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526 | * nDelete(&d); |
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527 | * nDelete(&(p->coef)); |
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528 | * p->coef =hh; |
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529 | */ |
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530 | d=nMult(h,pGetCoeff(p)); |
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531 | nNormalize(d); |
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532 | pSetCoeff(p,d); |
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533 | pIter(p); |
---|
534 | } |
---|
535 | nDelete(&h); |
---|
536 | if (nGetChar()==1) |
---|
537 | { |
---|
538 | loop |
---|
539 | { |
---|
540 | h = nInit(1); |
---|
541 | p=ph; |
---|
542 | while (p!=NULL) |
---|
543 | { |
---|
544 | d=nLcm(h,pGetCoeff(p),currRing); |
---|
545 | nDelete(&h); |
---|
546 | h=d; |
---|
547 | pIter(p); |
---|
548 | } |
---|
549 | /* contains the 1/lcm of all denominators */ |
---|
550 | if(!nIsOne(h)) |
---|
551 | { |
---|
552 | p = ph; |
---|
553 | while (p!=NULL) |
---|
554 | { |
---|
555 | /* should be: |
---|
556 | * number hh; |
---|
557 | * nGetDenom(p->coef,&hh); |
---|
558 | * nMult(&h,&hh,&d); |
---|
559 | * nNormalize(d); |
---|
560 | * nDelete(&hh); |
---|
561 | * nMult(d,p->coef,&hh); |
---|
562 | * nDelete(&d); |
---|
563 | * nDelete(&(p->coef)); |
---|
564 | * p->coef =hh; |
---|
565 | */ |
---|
566 | d=nMult(h,pGetCoeff(p)); |
---|
567 | nNormalize(d); |
---|
568 | pSetCoeff(p,d); |
---|
569 | pIter(p); |
---|
570 | } |
---|
571 | nDelete(&h); |
---|
572 | } |
---|
573 | else |
---|
574 | { |
---|
575 | nDelete(&h); |
---|
576 | break; |
---|
577 | } |
---|
578 | } |
---|
579 | } |
---|
580 | } |
---|
581 | if (h!=NULL) nDelete(&h); |
---|
582 | |
---|
583 | p_Content(ph,r); |
---|
584 | #ifdef HAVE_RATGRING |
---|
585 | if (rIsRatGRing(r)) |
---|
586 | { |
---|
587 | /* quick unit detection in the rational case is done in gr_nc_bba */ |
---|
588 | pContentRat(ph); |
---|
589 | start=ph; |
---|
590 | } |
---|
591 | #endif |
---|
592 | } |
---|
593 | return start; |
---|
594 | } |
---|
595 | |
---|
596 | void p_Cleardenom_n(poly ph,const ring r,number &c) |
---|
597 | { |
---|
598 | number d, h; |
---|
599 | poly p; |
---|
600 | |
---|
601 | p = ph; |
---|
602 | if(pNext(p)==NULL) |
---|
603 | { |
---|
604 | c=nInvers(pGetCoeff(p)); |
---|
605 | pSetCoeff(p,nInit(1)); |
---|
606 | } |
---|
607 | else |
---|
608 | { |
---|
609 | h = nInit(1); |
---|
610 | while (p!=NULL) |
---|
611 | { |
---|
612 | nNormalize(pGetCoeff(p)); |
---|
613 | d=nLcm(h,pGetCoeff(p),r); |
---|
614 | nDelete(&h); |
---|
615 | h=d; |
---|
616 | pIter(p); |
---|
617 | } |
---|
618 | c=h; |
---|
619 | /* contains the 1/lcm of all denominators */ |
---|
620 | if(!nIsOne(h)) |
---|
621 | { |
---|
622 | p = ph; |
---|
623 | while (p!=NULL) |
---|
624 | { |
---|
625 | /* should be: |
---|
626 | * number hh; |
---|
627 | * nGetDenom(p->coef,&hh); |
---|
628 | * nMult(&h,&hh,&d); |
---|
629 | * nNormalize(d); |
---|
630 | * nDelete(&hh); |
---|
631 | * nMult(d,p->coef,&hh); |
---|
632 | * nDelete(&d); |
---|
633 | * nDelete(&(p->coef)); |
---|
634 | * p->coef =hh; |
---|
635 | */ |
---|
636 | d=nMult(h,pGetCoeff(p)); |
---|
637 | nNormalize(d); |
---|
638 | pSetCoeff(p,d); |
---|
639 | pIter(p); |
---|
640 | } |
---|
641 | if (nGetChar()==1) |
---|
642 | { |
---|
643 | loop |
---|
644 | { |
---|
645 | h = nInit(1); |
---|
646 | p=ph; |
---|
647 | while (p!=NULL) |
---|
648 | { |
---|
649 | d=nLcm(h,pGetCoeff(p),r); |
---|
650 | nDelete(&h); |
---|
651 | h=d; |
---|
652 | pIter(p); |
---|
653 | } |
---|
654 | /* contains the 1/lcm of all denominators */ |
---|
655 | if(!nIsOne(h)) |
---|
656 | { |
---|
657 | p = ph; |
---|
658 | while (p!=NULL) |
---|
659 | { |
---|
660 | /* should be: |
---|
661 | * number hh; |
---|
662 | * nGetDenom(p->coef,&hh); |
---|
663 | * nMult(&h,&hh,&d); |
---|
664 | * nNormalize(d); |
---|
665 | * nDelete(&hh); |
---|
666 | * nMult(d,p->coef,&hh); |
---|
667 | * nDelete(&d); |
---|
668 | * nDelete(&(p->coef)); |
---|
669 | * p->coef =hh; |
---|
670 | */ |
---|
671 | d=nMult(h,pGetCoeff(p)); |
---|
672 | nNormalize(d); |
---|
673 | pSetCoeff(p,d); |
---|
674 | pIter(p); |
---|
675 | } |
---|
676 | number t=nMult(c,h); |
---|
677 | nDelete(&c); |
---|
678 | c=t; |
---|
679 | } |
---|
680 | else |
---|
681 | { |
---|
682 | break; |
---|
683 | } |
---|
684 | nDelete(&h); |
---|
685 | } |
---|
686 | } |
---|
687 | } |
---|
688 | } |
---|
689 | } |
---|
690 | |
---|
691 | number p_GetAllDenom(poly ph, const ring r) |
---|
692 | { |
---|
693 | number d=n_Init(1,r); |
---|
694 | poly p = ph; |
---|
695 | |
---|
696 | while (p!=NULL) |
---|
697 | { |
---|
698 | number h=n_GetDenom(pGetCoeff(p),r); |
---|
699 | if (!n_IsOne(h,r)) |
---|
700 | { |
---|
701 | number dd=n_Mult(d,h,r); |
---|
702 | n_Delete(&d,r); |
---|
703 | d=dd; |
---|
704 | } |
---|
705 | n_Delete(&h,r); |
---|
706 | pIter(p); |
---|
707 | } |
---|
708 | return d; |
---|
709 | } |
---|
710 | |
---|
711 | /*2 |
---|
712 | *tests if p is homogeneous with respect to the actual weigths |
---|
713 | */ |
---|
714 | BOOLEAN pIsHomogeneous (poly p) |
---|
715 | { |
---|
716 | poly qp=p; |
---|
717 | int o; |
---|
718 | |
---|
719 | if ((p == NULL) || (pNext(p) == NULL)) return TRUE; |
---|
720 | pFDegProc d; |
---|
721 | if (pLexOrder && (currRing->order[0]==ringorder_lp)) |
---|
722 | d=p_Totaldegree; |
---|
723 | else |
---|
724 | d=pFDeg; |
---|
725 | o = d(p,currRing); |
---|
726 | do |
---|
727 | { |
---|
728 | if (d(qp,currRing) != o) return FALSE; |
---|
729 | pIter(qp); |
---|
730 | } |
---|
731 | while (qp != NULL); |
---|
732 | return TRUE; |
---|
733 | } |
---|
734 | |
---|
735 | /*2 |
---|
736 | *returns a re-ordered copy of a polynomial, with permutation of the variables |
---|
737 | */ |
---|
738 | poly pPermPoly (poly p, int * perm, const ring oldRing, nMapFunc nMap, |
---|
739 | int *par_perm, int OldPar) |
---|
740 | { |
---|
741 | int OldpVariables = oldRing->N; |
---|
742 | poly result = NULL; |
---|
743 | poly result_last = NULL; |
---|
744 | poly aq=NULL; /* the map coefficient */ |
---|
745 | poly qq; /* the mapped monomial */ |
---|
746 | |
---|
747 | while (p != NULL) |
---|
748 | { |
---|
749 | if ((OldPar==0)||(rField_is_GF(oldRing))) |
---|
750 | { |
---|
751 | qq = pInit(); |
---|
752 | number n=nMap(pGetCoeff(p)); |
---|
753 | if ((currRing->minpoly!=NULL) |
---|
754 | && ((rField_is_Zp_a()) || (rField_is_Q_a()))) |
---|
755 | { |
---|
756 | nNormalize(n); |
---|
757 | } |
---|
758 | pGetCoeff(qq)=n; |
---|
759 | // coef may be zero: pTest(qq); |
---|
760 | } |
---|
761 | else |
---|
762 | { |
---|
763 | qq=pOne(); |
---|
764 | aq=napPermNumber(pGetCoeff(p),par_perm,OldPar, oldRing); |
---|
765 | if ((aq!=NULL) && (currRing->minpoly!=NULL) |
---|
766 | && ((rField_is_Zp_a()) || (rField_is_Q_a()))) |
---|
767 | { |
---|
768 | pNormalize(aq); |
---|
769 | } |
---|
770 | pTest(aq); |
---|
771 | if (aq==NULL) |
---|
772 | pSetCoeff(qq,nInit(0)); |
---|
773 | } |
---|
774 | if (rRing_has_Comp(currRing)) pSetComp(qq, p_GetComp(p,oldRing)); |
---|
775 | if (nIsZero(pGetCoeff(qq))) |
---|
776 | { |
---|
777 | pLmDelete(&qq); |
---|
778 | } |
---|
779 | else |
---|
780 | { |
---|
781 | int i; |
---|
782 | int mapped_to_par=0; |
---|
783 | for(i=1; i<=OldpVariables; i++) |
---|
784 | { |
---|
785 | int e=p_GetExp(p,i,oldRing); |
---|
786 | if (e!=0) |
---|
787 | { |
---|
788 | if (perm==NULL) |
---|
789 | { |
---|
790 | pSetExp(qq,i, e); |
---|
791 | } |
---|
792 | else if (perm[i]>0) |
---|
793 | pAddExp(qq,perm[i], e/*p_GetExp( p,i,oldRing)*/); |
---|
794 | else if (perm[i]<0) |
---|
795 | { |
---|
796 | if (rField_is_GF()) |
---|
797 | { |
---|
798 | number c=pGetCoeff(qq); |
---|
799 | number ee=nfPar(1); |
---|
800 | number eee;nfPower(ee,e,&eee); //nfDelete(ee,currRing); |
---|
801 | ee=nfMult(c,eee); |
---|
802 | //nfDelete(c,currRing);nfDelete(eee,currRing); |
---|
803 | pSetCoeff0(qq,ee); |
---|
804 | } |
---|
805 | else |
---|
806 | { |
---|
807 | lnumber c=(lnumber)pGetCoeff(qq); |
---|
808 | if (c->z->next==NULL) |
---|
809 | napAddExp(c->z,-perm[i],e/*p_GetExp( p,i,oldRing)*/); |
---|
810 | else /* more difficult: we have really to multiply: */ |
---|
811 | { |
---|
812 | lnumber mmc=(lnumber)naInit(1,currRing); |
---|
813 | napSetExp(mmc->z,-perm[i],e/*p_GetExp( p,i,oldRing)*/); |
---|
814 | napSetm(mmc->z); |
---|
815 | pGetCoeff(qq)=naMult((number)c,(number)mmc); |
---|
816 | nDelete((number *)&c); |
---|
817 | nDelete((number *)&mmc); |
---|
818 | } |
---|
819 | mapped_to_par=1; |
---|
820 | } |
---|
821 | } |
---|
822 | else |
---|
823 | { |
---|
824 | /* this variable maps to 0 !*/ |
---|
825 | pLmDelete(&qq); |
---|
826 | break; |
---|
827 | } |
---|
828 | } |
---|
829 | } |
---|
830 | if (mapped_to_par |
---|
831 | && (currRing->minpoly!=NULL)) |
---|
832 | { |
---|
833 | number n=pGetCoeff(qq); |
---|
834 | nNormalize(n); |
---|
835 | pGetCoeff(qq)=n; |
---|
836 | } |
---|
837 | } |
---|
838 | pIter(p); |
---|
839 | #if 1 |
---|
840 | if (qq!=NULL) |
---|
841 | { |
---|
842 | pSetm(qq); |
---|
843 | pTest(aq); |
---|
844 | pTest(qq); |
---|
845 | if (aq!=NULL) qq=pMult(aq,qq); |
---|
846 | aq = qq; |
---|
847 | while (pNext(aq) != NULL) pIter(aq); |
---|
848 | if (result_last==NULL) |
---|
849 | { |
---|
850 | result=qq; |
---|
851 | } |
---|
852 | else |
---|
853 | { |
---|
854 | pNext(result_last)=qq; |
---|
855 | } |
---|
856 | result_last=aq; |
---|
857 | aq = NULL; |
---|
858 | } |
---|
859 | else if (aq!=NULL) |
---|
860 | { |
---|
861 | pDelete(&aq); |
---|
862 | } |
---|
863 | } |
---|
864 | result=pSortAdd(result); |
---|
865 | #else |
---|
866 | // if (qq!=NULL) |
---|
867 | // { |
---|
868 | // pSetm(qq); |
---|
869 | // pTest(qq); |
---|
870 | // pTest(aq); |
---|
871 | // if (aq!=NULL) qq=pMult(aq,qq); |
---|
872 | // aq = qq; |
---|
873 | // while (pNext(aq) != NULL) pIter(aq); |
---|
874 | // pNext(aq) = result; |
---|
875 | // aq = NULL; |
---|
876 | // result = qq; |
---|
877 | // } |
---|
878 | // else if (aq!=NULL) |
---|
879 | // { |
---|
880 | // pDelete(&aq); |
---|
881 | // } |
---|
882 | //} |
---|
883 | //p = result; |
---|
884 | //result = NULL; |
---|
885 | //while (p != NULL) |
---|
886 | //{ |
---|
887 | // qq = p; |
---|
888 | // pIter(p); |
---|
889 | // qq->next = NULL; |
---|
890 | // result = pAdd(result, qq); |
---|
891 | //} |
---|
892 | #endif |
---|
893 | pTest(result); |
---|
894 | return result; |
---|
895 | } |
---|
896 | |
---|