1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /*************************************************************** |
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5 | * File: p_polys.cc |
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6 | * Purpose: implementation of currRing independent poly procedures |
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7 | * Author: obachman (Olaf Bachmann) |
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8 | * Created: 8/00 |
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9 | * Version: $Id: p_polys.cc,v 1.19 2003-02-06 15:52:00 Singular Exp $ |
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10 | *******************************************************************/ |
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11 | |
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12 | #include "mod2.h" |
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13 | #include "structs.h" |
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14 | #include "tok.h" |
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15 | #include "p_polys.h" |
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16 | #include "ring.h" |
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17 | #include "febase.h" |
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18 | |
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19 | /*************************************************************** |
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20 | * |
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21 | * Completing what needs to be set for the monomial |
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22 | * |
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23 | ***************************************************************/ |
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24 | // this is special for the syz stuff |
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25 | static int* _Components = NULL; |
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26 | static long* _ShiftedComponents = NULL; |
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27 | static int _ExternalComponents = 0; |
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28 | |
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29 | void p_Setm_General(poly p, ring r) |
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30 | { |
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31 | p_LmCheckPolyRing(p, r); |
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32 | int pos=0; |
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33 | if (r->typ!=NULL) |
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34 | { |
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35 | loop |
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36 | { |
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37 | long ord=0; |
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38 | sro_ord* o=&(r->typ[pos]); |
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39 | switch(o->ord_typ) |
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40 | { |
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41 | case ro_dp: |
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42 | { |
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43 | int a,e; |
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44 | a=o->data.dp.start; |
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45 | e=o->data.dp.end; |
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46 | for(int i=a;i<=e;i++) ord+=p_GetExp(p,i,r); |
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47 | p->exp[o->data.dp.place]=ord; |
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48 | break; |
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49 | } |
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50 | case ro_wp_neg: |
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51 | ord=POLY_NEGWEIGHT_OFFSET; |
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52 | // no break; |
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53 | case ro_wp: |
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54 | { |
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55 | int a,e; |
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56 | a=o->data.wp.start; |
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57 | e=o->data.wp.end; |
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58 | int *w=o->data.wp.weights; |
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59 | for(int i=a;i<=e;i++) ord+=p_GetExp(p,i,r)*w[i-a]; |
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60 | p->exp[o->data.wp.place]=ord; |
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61 | break; |
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62 | } |
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63 | case ro_cp: |
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64 | { |
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65 | int a,e; |
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66 | a=o->data.cp.start; |
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67 | e=o->data.cp.end; |
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68 | int pl=o->data.cp.place; |
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69 | for(int i=a;i<=e;i++) { p->exp[pl]=p_GetExp(p,i,r); pl++; } |
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70 | break; |
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71 | } |
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72 | case ro_syzcomp: |
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73 | { |
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74 | int c=p_GetComp(p,r); |
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75 | long sc = c; |
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76 | int* Components = (_ExternalComponents ? _Components : |
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77 | o->data.syzcomp.Components); |
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78 | long* ShiftedComponents = (_ExternalComponents ? _ShiftedComponents: |
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79 | o->data.syzcomp.ShiftedComponents); |
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80 | if (ShiftedComponents != NULL) |
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81 | { |
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82 | assume(Components != NULL); |
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83 | assume(c == 0 || Components[c] != 0); |
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84 | sc = ShiftedComponents[Components[c]]; |
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85 | assume(c == 0 || sc != 0); |
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86 | } |
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87 | p->exp[o->data.syzcomp.place]=sc; |
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88 | break; |
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89 | } |
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90 | case ro_syz: |
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91 | { |
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92 | int c=p_GetComp(p, r); |
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93 | if (c > o->data.syz.limit) |
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94 | p->exp[o->data.syz.place] = o->data.syz.curr_index; |
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95 | else if (c > 0) |
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96 | p->exp[o->data.syz.place]= o->data.syz.syz_index[c]; |
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97 | else |
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98 | { |
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99 | assume(c == 0); |
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100 | p->exp[o->data.syz.place]= 0; |
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101 | } |
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102 | break; |
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103 | } |
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104 | default: |
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105 | dReportError("wrong ord in rSetm:%d\n",o->ord_typ); |
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106 | return; |
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107 | } |
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108 | pos++; |
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109 | if (pos == r->OrdSize) return; |
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110 | } |
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111 | } |
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112 | } |
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113 | |
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114 | void p_Setm_Syz(poly p, ring r, int* Components, long* ShiftedComponents) |
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115 | { |
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116 | _Components = Components; |
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117 | _ShiftedComponents = ShiftedComponents; |
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118 | _ExternalComponents = 1; |
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119 | p_Setm_General(p, r); |
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120 | _ExternalComponents = 0; |
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121 | } |
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122 | |
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123 | // dummy for lp, ls, etc |
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124 | void p_Setm_Dummy(poly p, ring r) |
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125 | { |
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126 | p_LmCheckPolyRing(p, r); |
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127 | } |
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128 | |
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129 | // for dp, Dp, ds, etc |
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130 | void p_Setm_TotalDegree(poly p, ring r) |
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131 | { |
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132 | p_LmCheckPolyRing(p, r); |
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133 | p->exp[r->pOrdIndex] = p_ExpVectorQuerSum(p, r); |
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134 | } |
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135 | |
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136 | // for wp, Wp, ws, etc |
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137 | void p_Setm_WFirstTotalDegree(poly p, ring r) |
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138 | { |
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139 | p_LmCheckPolyRing(p, r); |
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140 | p->exp[r->pOrdIndex] = pWFirstTotalDegree(p, r); |
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141 | } |
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142 | |
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143 | p_SetmProc p_GetSetmProc(ring r) |
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144 | { |
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145 | // covers lp, rp, ls, |
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146 | if (r->typ == NULL) return p_Setm_Dummy; |
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147 | |
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148 | if (r->OrdSize == 1) |
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149 | { |
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150 | if (r->typ[0].ord_typ == ro_dp && |
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151 | r->typ[0].data.dp.start == 1 && |
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152 | r->typ[0].data.dp.end == r->N && |
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153 | r->typ[0].data.dp.place == r->pOrdIndex) |
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154 | return p_Setm_TotalDegree; |
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155 | if (r->typ[0].ord_typ == ro_wp && |
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156 | r->typ[0].data.wp.start == 1 && |
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157 | r->typ[0].data.wp.end == r->N && |
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158 | r->typ[0].data.wp.place == r->pOrdIndex && |
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159 | r->typ[0].data.wp.weights == r->firstwv) |
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160 | return p_Setm_WFirstTotalDegree; |
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161 | } |
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162 | return p_Setm_General; |
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163 | } |
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164 | |
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165 | |
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166 | /* -------------------------------------------------------------------*/ |
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167 | /* several possibilities for pFDeg: the degree of the head term */ |
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168 | /*2 |
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169 | * compute the degree of the leading monomial of p |
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170 | * the ordering is compatible with degree, use a->order |
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171 | */ |
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172 | inline long _pDeg(poly a, ring r) |
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173 | { |
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174 | p_LmCheckPolyRing(a, r); |
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175 | assume(p_GetOrder(a, r) == pWTotaldegree(a, r)); |
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176 | return p_GetOrder(a, r); |
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177 | } |
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178 | |
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179 | long pDeg(poly a, ring r) |
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180 | { |
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181 | return _pDeg(a, r); |
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182 | } |
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183 | |
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184 | /*2 |
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185 | * compute the degree of the leading monomial of p |
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186 | * with respect to weigths 1 |
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187 | * (all are 1 so save multiplications or they are of different signs) |
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188 | * the ordering is not compatible with degree so do not use p->Order |
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189 | */ |
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190 | inline long _pTotaldegree(poly p, ring r) |
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191 | { |
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192 | p_LmCheckPolyRing(p, r); |
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193 | return (long) p_ExpVectorQuerSum(p, r); |
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194 | } |
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195 | long pTotaldegree(poly p, ring r) |
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196 | { |
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197 | return (long) _pTotaldegree(p, r); |
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198 | } |
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199 | |
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200 | // pWTotalDegree for weighted orderings |
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201 | // whose first block covers all variables |
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202 | inline long _pWFirstTotalDegree(poly p, ring r) |
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203 | { |
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204 | int i; |
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205 | long sum = 0; |
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206 | |
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207 | for (i=1; i<= r->firstBlockEnds; i++) |
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208 | { |
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209 | sum += p_GetExp(p, i, r)*r->firstwv[i-1]; |
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210 | } |
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211 | return sum; |
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212 | } |
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213 | |
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214 | long pWFirstTotalDegree(poly p, ring r) |
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215 | { |
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216 | return (long) _pWFirstTotalDegree(p, r); |
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217 | } |
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218 | |
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219 | /*2 |
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220 | * compute the degree of the leading monomial of p |
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221 | * with respect to weigths from the ordering |
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222 | * the ordering is not compatible with degree so do not use p->Order |
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223 | */ |
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224 | long pWTotaldegree(poly p, ring r) |
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225 | { |
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226 | p_LmCheckPolyRing(p, r); |
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227 | int i, k; |
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228 | long j =0; |
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229 | |
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230 | // iterate through each block: |
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231 | for (i=0;r->order[i]!=0;i++) |
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232 | { |
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233 | switch(r->order[i]) |
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234 | { |
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235 | case ringorder_wp: |
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236 | case ringorder_ws: |
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237 | case ringorder_Wp: |
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238 | case ringorder_Ws: |
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239 | for (k=r->block0[i];k<=r->block1[i];k++) |
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240 | { // in jedem block: |
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241 | j+= p_GetExp(p,k,r)*r->wvhdl[i][k - r->block0[i]]; |
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242 | } |
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243 | break; |
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244 | case ringorder_M: |
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245 | case ringorder_lp: |
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246 | case ringorder_ls: |
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247 | case ringorder_dp: |
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248 | case ringorder_ds: |
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249 | case ringorder_Dp: |
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250 | case ringorder_Ds: |
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251 | case ringorder_rp: |
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252 | for (k=r->block0[i];k<=r->block1[i];k++) |
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253 | { |
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254 | j+= p_GetExp(p,k,r); |
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255 | } |
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256 | break; |
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257 | case ringorder_c: |
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258 | case ringorder_C: |
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259 | case ringorder_S: |
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260 | case ringorder_s: |
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261 | case ringorder_aa: |
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262 | break; |
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263 | case ringorder_a: |
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264 | for (k=r->block0[i];k<=r->block1[i];k++) |
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265 | { // only one line |
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266 | j+= p_GetExp(p,k, r)*r->wvhdl[i][ k- r->block0[i]]; |
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267 | } |
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268 | return j; |
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269 | #ifndef NDEBUG |
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270 | default: |
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271 | Print("missing order %d in pWTotaldegree\n",r->order[i]); |
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272 | break; |
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273 | #endif |
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274 | } |
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275 | } |
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276 | return j; |
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277 | } |
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278 | |
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279 | int pWeight(int i, ring r) |
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280 | { |
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281 | if ((r->firstwv==NULL) || (i>r->firstBlockEnds)) |
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282 | { |
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283 | return 1; |
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284 | } |
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285 | return r->firstwv[i-1]; |
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286 | } |
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287 | |
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288 | long pWDegree(poly p, ring r) |
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289 | { |
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290 | if (r->firstwv==NULL) return pTotaldegree(p, r); |
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291 | p_LmCheckPolyRing(p, r); |
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292 | int i, k; |
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293 | long j =0; |
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294 | |
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295 | for(i=1;i<=r->firstBlockEnds;i++) |
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296 | j+=p_GetExp(p, i, r)*r->firstwv[i-1]; |
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297 | |
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298 | for (;i<=r->N;i++) |
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299 | j+=p_GetExp(p,i, r)*pWeight(i, r); |
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300 | |
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301 | return j; |
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302 | } |
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303 | |
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304 | |
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305 | /* ---------------------------------------------------------------------*/ |
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306 | /* several possibilities for pLDeg: the maximal degree of a monomial in p*/ |
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307 | /* compute in l also the pLength of p */ |
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308 | |
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309 | /*2 |
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310 | * compute the length of a polynomial (in l) |
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311 | * and the degree of the monomial with maximal degree: the last one |
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312 | */ |
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313 | long pLDeg0(poly p,int *l, ring r) |
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314 | { |
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315 | p_CheckPolyRing(p, r); |
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316 | Exponent_t k= p_GetComp(p, r); |
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317 | int ll=1; |
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318 | |
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319 | if (k > 0) |
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320 | { |
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321 | while ((pNext(p)!=NULL) && (p_GetComp(pNext(p), r)==k)) |
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322 | { |
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323 | pIter(p); |
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324 | ll++; |
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325 | } |
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326 | } |
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327 | else |
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328 | { |
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329 | while (pNext(p)!=NULL) |
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330 | { |
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331 | pIter(p); |
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332 | ll++; |
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333 | } |
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334 | } |
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335 | *l=ll; |
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336 | return r->pFDeg(p, r); |
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337 | } |
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338 | |
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339 | /*2 |
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340 | * compute the length of a polynomial (in l) |
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341 | * and the degree of the monomial with maximal degree: the last one |
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342 | * but search in all components before syzcomp |
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343 | */ |
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344 | long pLDeg0c(poly p,int *l, ring r) |
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345 | { |
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346 | assume(p!=NULL); |
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347 | #ifdef PDEBUG |
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348 | _p_Test(p,r,PDEBUG); |
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349 | #endif |
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350 | p_CheckPolyRing(p, r); |
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351 | long o; |
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352 | int ll=1; |
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353 | |
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354 | if (! rIsSyzIndexRing(r)) |
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355 | { |
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356 | while (pNext(p) != NULL) |
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357 | { |
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358 | pIter(p); |
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359 | ll++; |
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360 | } |
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361 | o = r->pFDeg(p, r); |
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362 | } |
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363 | else |
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364 | { |
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365 | int curr_limit = rGetCurrSyzLimit(r); |
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366 | poly pp = p; |
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367 | while ((p=pNext(p))!=NULL) |
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368 | { |
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369 | if (p_GetComp(p, r)<=curr_limit/*syzComp*/) |
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370 | ll++; |
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371 | else break; |
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372 | pp = p; |
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373 | } |
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374 | #ifdef PDEBUG |
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375 | _p_Test(pp,r,PDEBUG); |
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376 | #endif |
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377 | o = r->pFDeg(pp, r); |
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378 | } |
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379 | *l=ll; |
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380 | return o; |
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381 | } |
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382 | |
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383 | /*2 |
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384 | * compute the length of a polynomial (in l) |
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385 | * and the degree of the monomial with maximal degree: the first one |
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386 | * this works for the polynomial case with degree orderings |
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387 | * (both c,dp and dp,c) |
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388 | */ |
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389 | long pLDegb(poly p,int *l, ring r) |
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390 | { |
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391 | p_CheckPolyRing(p, r); |
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392 | Exponent_t k= p_GetComp(p, r); |
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393 | long o = r->pFDeg(p, r); |
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394 | int ll=1; |
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395 | |
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396 | if (k != 0) |
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397 | { |
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398 | while (((p=pNext(p))!=NULL) && (p_GetComp(p, r)==k)) |
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399 | { |
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400 | ll++; |
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401 | } |
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402 | } |
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403 | else |
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404 | { |
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405 | while ((p=pNext(p)) !=NULL) |
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406 | { |
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407 | ll++; |
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408 | } |
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409 | } |
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410 | *l=ll; |
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411 | return o; |
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412 | } |
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413 | |
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414 | /*2 |
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415 | * compute the length of a polynomial (in l) |
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416 | * and the degree of the monomial with maximal degree: |
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417 | * this is NOT the last one, we have to look for it |
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418 | */ |
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419 | long pLDeg1(poly p,int *l, ring r) |
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420 | { |
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421 | p_CheckPolyRing(p, r); |
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422 | Exponent_t k= p_GetComp(p, r); |
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423 | int ll=1; |
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424 | long t,max; |
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425 | |
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426 | max=r->pFDeg(p, r); |
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427 | if (k > 0) |
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428 | { |
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429 | while (((p=pNext(p))!=NULL) && (p_GetComp(p, r)==k)) |
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430 | { |
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431 | t=r->pFDeg(p, r); |
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432 | if (t>max) max=t; |
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433 | ll++; |
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434 | } |
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435 | } |
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436 | else |
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437 | { |
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438 | while ((p=pNext(p))!=NULL) |
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439 | { |
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440 | t=r->pFDeg(p, r); |
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441 | if (t>max) max=t; |
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442 | ll++; |
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443 | } |
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444 | } |
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445 | *l=ll; |
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446 | return max; |
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447 | } |
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448 | |
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449 | /*2 |
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450 | * compute the length of a polynomial (in l) |
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451 | * and the degree of the monomial with maximal degree: |
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452 | * this is NOT the last one, we have to look for it |
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453 | * in all components |
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454 | */ |
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455 | long pLDeg1c(poly p,int *l, ring r) |
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456 | { |
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457 | p_CheckPolyRing(p, r); |
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458 | int ll=1; |
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459 | long t,max; |
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460 | |
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461 | max=r->pFDeg(p, r); |
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462 | if (rIsSyzIndexRing(r)) |
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463 | { |
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464 | long limit = rGetCurrSyzLimit(r); |
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465 | while ((p=pNext(p))!=NULL) |
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466 | { |
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467 | if (p_GetComp(p, r)<=limit) |
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468 | { |
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469 | if ((t=r->pFDeg(p, r))>max) max=t; |
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470 | ll++; |
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471 | } |
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472 | else break; |
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473 | } |
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474 | } |
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475 | else |
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476 | { |
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477 | while ((p=pNext(p))!=NULL) |
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478 | { |
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479 | if ((t=r->pFDeg(p, r))>max) max=t; |
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480 | ll++; |
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481 | } |
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482 | } |
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483 | *l=ll; |
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484 | return max; |
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485 | } |
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486 | |
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487 | // like pLDeg1, only pFDeg == pDeg |
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488 | long pLDeg1_Deg(poly p,int *l, ring r) |
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489 | { |
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490 | assume(r->pFDeg == pDeg); |
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491 | p_CheckPolyRing(p, r); |
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492 | Exponent_t k= p_GetComp(p, r); |
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493 | int ll=1; |
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494 | long t,max; |
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495 | |
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496 | max=_pDeg(p, r); |
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497 | if (k > 0) |
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498 | { |
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499 | while (((p=pNext(p))!=NULL) && (p_GetComp(p, r)==k)) |
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500 | { |
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501 | t=_pDeg(p, r); |
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502 | if (t>max) max=t; |
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503 | ll++; |
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504 | } |
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505 | } |
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506 | else |
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507 | { |
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508 | while ((p=pNext(p))!=NULL) |
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509 | { |
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510 | t=_pDeg(p, r); |
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511 | if (t>max) max=t; |
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512 | ll++; |
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513 | } |
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514 | } |
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515 | *l=ll; |
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516 | return max; |
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517 | } |
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518 | |
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519 | long pLDeg1c_Deg(poly p,int *l, ring r) |
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520 | { |
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521 | assume(r->pFDeg == pDeg); |
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522 | p_CheckPolyRing(p, r); |
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523 | int ll=1; |
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524 | long t,max; |
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525 | |
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526 | max=_pDeg(p, r); |
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527 | if (rIsSyzIndexRing(r)) |
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528 | { |
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529 | long limit = rGetCurrSyzLimit(r); |
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530 | while ((p=pNext(p))!=NULL) |
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531 | { |
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532 | if (p_GetComp(p, r)<=limit) |
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533 | { |
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534 | if ((t=_pDeg(p, r))>max) max=t; |
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535 | ll++; |
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536 | } |
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537 | else break; |
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538 | } |
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539 | } |
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540 | else |
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541 | { |
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542 | while ((p=pNext(p))!=NULL) |
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543 | { |
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544 | if ((t=_pDeg(p, r))>max) max=t; |
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545 | ll++; |
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546 | } |
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547 | } |
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548 | *l=ll; |
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549 | return max; |
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550 | } |
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551 | |
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552 | // like pLDeg1, only pFDeg == pTotoalDegree |
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553 | long pLDeg1_Totaldegree(poly p,int *l, ring r) |
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554 | { |
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555 | p_CheckPolyRing(p, r); |
---|
556 | Exponent_t k= p_GetComp(p, r); |
---|
557 | int ll=1; |
---|
558 | long t,max; |
---|
559 | |
---|
560 | max=_pTotaldegree(p, r); |
---|
561 | if (k > 0) |
---|
562 | { |
---|
563 | while (((p=pNext(p))!=NULL) && (p_GetComp(p, r)==k)) |
---|
564 | { |
---|
565 | t=_pTotaldegree(p, r); |
---|
566 | if (t>max) max=t; |
---|
567 | ll++; |
---|
568 | } |
---|
569 | } |
---|
570 | else |
---|
571 | { |
---|
572 | while ((p=pNext(p))!=NULL) |
---|
573 | { |
---|
574 | t=_pTotaldegree(p, r); |
---|
575 | if (t>max) max=t; |
---|
576 | ll++; |
---|
577 | } |
---|
578 | } |
---|
579 | *l=ll; |
---|
580 | return max; |
---|
581 | } |
---|
582 | |
---|
583 | long pLDeg1c_Totaldegree(poly p,int *l, ring r) |
---|
584 | { |
---|
585 | p_CheckPolyRing(p, r); |
---|
586 | int ll=1; |
---|
587 | long t,max; |
---|
588 | |
---|
589 | max=_pTotaldegree(p, r); |
---|
590 | if (rIsSyzIndexRing(r)) |
---|
591 | { |
---|
592 | long limit = rGetCurrSyzLimit(r); |
---|
593 | while ((p=pNext(p))!=NULL) |
---|
594 | { |
---|
595 | if (p_GetComp(p, r)<=limit) |
---|
596 | { |
---|
597 | if ((t=_pTotaldegree(p, r))>max) max=t; |
---|
598 | ll++; |
---|
599 | } |
---|
600 | else break; |
---|
601 | } |
---|
602 | } |
---|
603 | else |
---|
604 | { |
---|
605 | while ((p=pNext(p))!=NULL) |
---|
606 | { |
---|
607 | if ((t=_pTotaldegree(p, r))>max) max=t; |
---|
608 | ll++; |
---|
609 | } |
---|
610 | } |
---|
611 | *l=ll; |
---|
612 | return max; |
---|
613 | } |
---|
614 | |
---|
615 | // like pLDeg1, only pFDeg == pWFirstTotalDegree |
---|
616 | long pLDeg1_WFirstTotalDegree(poly p,int *l, ring r) |
---|
617 | { |
---|
618 | p_CheckPolyRing(p, r); |
---|
619 | Exponent_t k= p_GetComp(p, r); |
---|
620 | int ll=1; |
---|
621 | long t,max; |
---|
622 | |
---|
623 | max=_pWFirstTotalDegree(p, r); |
---|
624 | if (k > 0) |
---|
625 | { |
---|
626 | while (((p=pNext(p))!=NULL) && (p_GetComp(p, r)==k)) |
---|
627 | { |
---|
628 | t=_pWFirstTotalDegree(p, r); |
---|
629 | if (t>max) max=t; |
---|
630 | ll++; |
---|
631 | } |
---|
632 | } |
---|
633 | else |
---|
634 | { |
---|
635 | while ((p=pNext(p))!=NULL) |
---|
636 | { |
---|
637 | t=_pWFirstTotalDegree(p, r); |
---|
638 | if (t>max) max=t; |
---|
639 | ll++; |
---|
640 | } |
---|
641 | } |
---|
642 | *l=ll; |
---|
643 | return max; |
---|
644 | } |
---|
645 | |
---|
646 | long pLDeg1c_WFirstTotalDegree(poly p,int *l, ring r) |
---|
647 | { |
---|
648 | p_CheckPolyRing(p, r); |
---|
649 | int ll=1; |
---|
650 | long t,max; |
---|
651 | |
---|
652 | max=_pWFirstTotalDegree(p, r); |
---|
653 | if (rIsSyzIndexRing(r)) |
---|
654 | { |
---|
655 | long limit = rGetCurrSyzLimit(r); |
---|
656 | while ((p=pNext(p))!=NULL) |
---|
657 | { |
---|
658 | if (p_GetComp(p, r)<=limit) |
---|
659 | { |
---|
660 | if ((t=_pTotaldegree(p, r))>max) max=t; |
---|
661 | ll++; |
---|
662 | } |
---|
663 | else break; |
---|
664 | } |
---|
665 | } |
---|
666 | else |
---|
667 | { |
---|
668 | while ((p=pNext(p))!=NULL) |
---|
669 | { |
---|
670 | if ((t=_pTotaldegree(p, r))>max) max=t; |
---|
671 | ll++; |
---|
672 | } |
---|
673 | } |
---|
674 | *l=ll; |
---|
675 | return max; |
---|
676 | } |
---|
677 | |
---|
678 | /*************************************************************** |
---|
679 | * |
---|
680 | * Maximal Exponent business |
---|
681 | * |
---|
682 | ***************************************************************/ |
---|
683 | |
---|
684 | static inline unsigned long |
---|
685 | p_GetMaxExpL2(unsigned long l1, unsigned long l2, ring r, |
---|
686 | unsigned long number_of_exp) |
---|
687 | { |
---|
688 | const unsigned long bitmask = r->bitmask; |
---|
689 | unsigned long ml1 = l1 & bitmask; |
---|
690 | unsigned long ml2 = l2 & bitmask; |
---|
691 | unsigned long max = (ml1 > ml2 ? ml1 : ml2); |
---|
692 | unsigned long j = number_of_exp - 1; |
---|
693 | |
---|
694 | if (j > 0) |
---|
695 | { |
---|
696 | unsigned long mask = bitmask << r->BitsPerExp; |
---|
697 | while (1) |
---|
698 | { |
---|
699 | ml1 = l1 & mask; |
---|
700 | ml2 = l2 & mask; |
---|
701 | max |= ((ml1 > ml2 ? ml1 : ml2) & mask); |
---|
702 | j--; |
---|
703 | if (j == 0) break; |
---|
704 | mask = mask << r->BitsPerExp; |
---|
705 | } |
---|
706 | } |
---|
707 | return max; |
---|
708 | } |
---|
709 | |
---|
710 | static inline unsigned long |
---|
711 | p_GetMaxExpL2(unsigned long l1, unsigned long l2, ring r) |
---|
712 | { |
---|
713 | return p_GetMaxExpL2(l1, l2, r, r->ExpPerLong); |
---|
714 | } |
---|
715 | |
---|
716 | poly p_GetMaxExpP(poly p, ring r) |
---|
717 | { |
---|
718 | p_CheckPolyRing(p, r); |
---|
719 | if (p == NULL) return p_Init(r); |
---|
720 | poly max = p_LmInit(p, r); |
---|
721 | pIter(p); |
---|
722 | if (p == NULL) return max; |
---|
723 | int i, offset; |
---|
724 | unsigned long l_p, l_max; |
---|
725 | unsigned long divmask = r->divmask; |
---|
726 | |
---|
727 | do |
---|
728 | { |
---|
729 | offset = r->VarL_Offset[0]; |
---|
730 | l_p = p->exp[offset]; |
---|
731 | l_max = max->exp[offset]; |
---|
732 | // do the divisibility trick to find out whether l has an exponent |
---|
733 | if (l_p > l_max || |
---|
734 | (((l_max & divmask) ^ (l_p & divmask)) != ((l_max-l_p) & divmask))) |
---|
735 | max->exp[offset] = p_GetMaxExpL2(l_max, l_p, r); |
---|
736 | |
---|
737 | for (i=1; i<r->VarL_Size; i++) |
---|
738 | { |
---|
739 | offset = r->VarL_Offset[i]; |
---|
740 | l_p = p->exp[offset]; |
---|
741 | l_max = max->exp[offset]; |
---|
742 | // do the divisibility trick to find out whether l has an exponent |
---|
743 | if (l_p > l_max || |
---|
744 | (((l_max & divmask) ^ (l_p & divmask)) != ((l_max-l_p) & divmask))) |
---|
745 | max->exp[offset] = p_GetMaxExpL2(l_max, l_p, r); |
---|
746 | } |
---|
747 | pIter(p); |
---|
748 | } |
---|
749 | while (p != NULL); |
---|
750 | return max; |
---|
751 | } |
---|
752 | |
---|
753 | unsigned long p_GetMaxExpL(poly p, ring r, unsigned long l_max) |
---|
754 | { |
---|
755 | unsigned long l_p, divmask = r->divmask; |
---|
756 | int i; |
---|
757 | |
---|
758 | while (p != NULL) |
---|
759 | { |
---|
760 | l_p = p->exp[r->VarL_Offset[0]]; |
---|
761 | if (l_p > l_max || |
---|
762 | (((l_max & divmask) ^ (l_p & divmask)) != ((l_max-l_p) & divmask))) |
---|
763 | l_max = p_GetMaxExpL2(l_max, l_p, r); |
---|
764 | for (i=1; i<r->VarL_Size; i++) |
---|
765 | { |
---|
766 | l_p = p->exp[r->VarL_Offset[i]]; |
---|
767 | // do the divisibility trick to find out whether l has an exponent |
---|
768 | if (l_p > l_max || |
---|
769 | (((l_max & divmask) ^ (l_p & divmask)) != ((l_max-l_p) & divmask))) |
---|
770 | l_max = p_GetMaxExpL2(l_max, l_p, r); |
---|
771 | } |
---|
772 | pIter(p); |
---|
773 | } |
---|
774 | return l_max; |
---|
775 | } |
---|
776 | |
---|
777 | /*************************************************************** |
---|
778 | * |
---|
779 | * Misc things |
---|
780 | * |
---|
781 | ***************************************************************/ |
---|
782 | // returns TRUE, if all monoms have the same component |
---|
783 | BOOLEAN p_OneComp(poly p, ring r) |
---|
784 | { |
---|
785 | if(p!=NULL) |
---|
786 | { |
---|
787 | long i = p_GetComp(p, r); |
---|
788 | while (pNext(p)!=NULL) |
---|
789 | { |
---|
790 | pIter(p); |
---|
791 | if(i != p_GetComp(p, r)) return FALSE; |
---|
792 | } |
---|
793 | } |
---|
794 | return TRUE; |
---|
795 | } |
---|
796 | |
---|
797 | /*2 |
---|
798 | *test if a monomial /head term is a pure power |
---|
799 | */ |
---|
800 | int p_IsPurePower(const poly p, const ring r) |
---|
801 | { |
---|
802 | int i,k=0; |
---|
803 | |
---|
804 | for (i=r->N;i;i--) |
---|
805 | { |
---|
806 | if (p_GetExp(p,i, r)!=0) |
---|
807 | { |
---|
808 | if(k!=0) return 0; |
---|
809 | k=i; |
---|
810 | } |
---|
811 | } |
---|
812 | return k; |
---|
813 | } |
---|
814 | |
---|
815 | /*2 |
---|
816 | * returns a polynomial representing the integer i |
---|
817 | */ |
---|
818 | poly p_ISet(int i, ring r) |
---|
819 | { |
---|
820 | poly rc = NULL; |
---|
821 | if (i!=0) |
---|
822 | { |
---|
823 | rc = p_Init(r); |
---|
824 | pSetCoeff0(rc,r->cf->nInit(i)); |
---|
825 | if (r->cf->nIsZero(p_GetCoeff(rc,r))) |
---|
826 | p_DeleteLm(&rc,r); |
---|
827 | } |
---|
828 | return rc; |
---|
829 | } |
---|
830 | |
---|
831 | /*2 |
---|
832 | * returns a polynomial representing the number n |
---|
833 | * destroys n |
---|
834 | */ |
---|
835 | poly p_NSet(number n, ring r) |
---|
836 | { |
---|
837 | if (r->cf->nIsZero(n)) |
---|
838 | { |
---|
839 | r->cf->cfDelete(&n, r); |
---|
840 | return NULL; |
---|
841 | } |
---|
842 | else |
---|
843 | { |
---|
844 | poly rc = p_Init(r); |
---|
845 | pSetCoeff0(rc,n); |
---|
846 | return rc; |
---|
847 | } |
---|
848 | } |
---|
849 | |
---|
850 | /*************************************************************** |
---|
851 | * |
---|
852 | * p_ShallowDelete |
---|
853 | * |
---|
854 | ***************************************************************/ |
---|
855 | #undef LINKAGE |
---|
856 | #define LINKAGE |
---|
857 | #undef p_Delete |
---|
858 | #define p_Delete p_ShallowDelete |
---|
859 | #undef n_Delete |
---|
860 | #define n_Delete(n, r) ((void)0) |
---|
861 | |
---|
862 | #include "p_Delete__T.cc" |
---|
863 | |
---|