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: pInline2.h |
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6 | * Purpose: implementation of poly procs which are of constant time |
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7 | * Author: obachman (Olaf Bachmann) |
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8 | * Created: 8/00 |
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9 | * Version: $Id: pInline2.h,v 1.22 2000-12-05 13:01:11 obachman Exp $ |
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10 | *******************************************************************/ |
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11 | #ifndef PINLINE2_H |
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12 | #define PINLINE2_H |
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13 | |
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14 | /*************************************************************** |
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15 | * |
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16 | * Primitives for accessing and setting fields of a poly |
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17 | * |
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18 | ***************************************************************/ |
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19 | #if !defined(NO_PINLINE2) || defined(PINLINE2_CC) |
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20 | |
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21 | #include "tok.h" |
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22 | #include "omalloc.h" |
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23 | #include "numbers.h" |
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24 | #include "p_Procs.h" |
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25 | |
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26 | PINLINE2 number p_SetCoeff(poly p, number n, ring r) |
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27 | { |
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28 | p_LmCheckPolyRing2(p, r); |
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29 | n_Delete(&(p->coef), r); |
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30 | (p)->coef=n; |
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31 | return n; |
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32 | } |
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33 | |
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34 | // order |
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35 | PINLINE2 Order_t p_GetOrder(poly p, ring r) |
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36 | { |
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37 | p_LmCheckPolyRing2(p, r); |
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38 | if (r->typ==NULL) return ((p)->exp[r->pOrdIndex]); |
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39 | int i=0; |
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40 | loop |
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41 | { |
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42 | switch(r->typ[i].ord_typ) |
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43 | { |
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44 | case ro_wp_neg: |
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45 | return (((long)((p)->exp[r->pOrdIndex]))-((long) POLY_NEGWEIGHT_OFFSET)); |
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46 | case ro_syzcomp: |
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47 | case ro_syz: |
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48 | case ro_cp: |
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49 | i++; |
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50 | break; |
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51 | //case ro_dp: |
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52 | //case ro_wp: |
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53 | default: |
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54 | return ((p)->exp[r->pOrdIndex]); |
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55 | } |
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56 | } |
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57 | } |
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58 | |
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59 | PINLINE2 Order_t p_SetOrder(poly p, long o, ring r) |
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60 | { |
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61 | p_LmCheckPolyRing2(p, r); |
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62 | pAssume2(o >= 0); |
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63 | if (r->typ==NULL) return ((p)->exp[r->pOrdIndex]=o); |
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64 | int i=0; |
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65 | loop |
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66 | { |
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67 | switch(r->typ[i].ord_typ) |
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68 | { |
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69 | case ro_wp_neg: |
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70 | return (p)->exp[r->pOrdIndex]=o+POLY_NEGWEIGHT_OFFSET; |
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71 | case ro_syzcomp: |
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72 | case ro_syz: |
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73 | case ro_cp: |
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74 | i++; |
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75 | break; |
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76 | //case ro_dp: |
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77 | //case ro_wp: |
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78 | default: |
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79 | return (p)->exp[r->pOrdIndex] = o; |
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80 | } |
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81 | } |
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82 | return (p)->exp[r->pOrdIndex] = o; |
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83 | } |
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84 | |
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85 | // Setm |
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86 | PINLINE2 void p_Setm(poly p, ring r) |
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87 | { |
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88 | p_CheckRing2(r); |
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89 | r->p_Setm(p, r); |
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90 | } |
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91 | |
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92 | // component |
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93 | PINLINE2 unsigned long p_SetComp(poly p, unsigned long c, ring r) |
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94 | { |
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95 | p_LmCheckPolyRing2(p, r); |
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96 | pAssume2(rRing_has_Comp(r)); |
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97 | __p_GetComp(p,r) = c; |
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98 | return c; |
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99 | } |
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100 | PINLINE2 unsigned long p_IncrComp(poly p, ring r) |
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101 | { |
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102 | p_LmCheckPolyRing2(p, r); |
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103 | pAssume2(rRing_has_Comp(r)); |
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104 | return ++(__p_GetComp(p,r)); |
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105 | } |
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106 | PINLINE2 unsigned long p_DecrComp(poly p, ring r) |
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107 | { |
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108 | p_LmCheckPolyRing2(p, r); |
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109 | pAssume2(rRing_has_Comp(r)); |
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110 | pPolyAssume2(__p_GetComp(p,r) > 0); |
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111 | return --(__p_GetComp(p,r)); |
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112 | } |
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113 | PINLINE2 unsigned long p_AddComp(poly p, unsigned long v, ring r) |
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114 | { |
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115 | p_LmCheckPolyRing2(p, r); |
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116 | pAssume2(rRing_has_Comp(r)); |
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117 | return __p_GetComp(p,r) += v; |
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118 | } |
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119 | PINLINE2 unsigned long p_SubComp(poly p, unsigned long v, ring r) |
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120 | { |
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121 | p_LmCheckPolyRing2(p, r); |
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122 | pAssume2(rRing_has_Comp(r)); |
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123 | pPolyAssume2(__p_GetComp(p,r) >= v); |
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124 | return __p_GetComp(p,r) -= v; |
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125 | } |
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126 | |
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127 | // exponent |
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128 | // r->VarOffset encodes the position in p->exp (lower 24 bits) |
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129 | // and number of bits to shift to the right in the upper 8 bits |
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130 | PINLINE2 Exponent_t p_GetExp(poly p, int v, ring r) |
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131 | { |
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132 | p_LmCheckPolyRing2(p, r); |
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133 | pAssume2(v > 0 && v <= r->N); |
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134 | return (p->exp[(r->VarOffset[v] & 0xffffff)] >> (r->VarOffset[v] >> 24)) |
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135 | & r->bitmask; |
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136 | } |
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137 | PINLINE2 Exponent_t p_SetExp(poly p, int v, int e, ring r) |
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138 | { |
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139 | p_LmCheckPolyRing2(p, r); |
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140 | pAssume2(v>0 && v <= r->N); |
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141 | pAssume2(e>=0); |
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142 | pAssume2((unsigned int) e<=r->bitmask); |
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143 | |
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144 | // shift e to the left: |
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145 | register int shift = r->VarOffset[v] >> 24; |
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146 | unsigned long ee = ((unsigned long)e) << shift /*(r->VarOffset[v] >> 24)*/; |
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147 | // clear the bits in the exponent vector: |
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148 | register int offset = (r->VarOffset[v] & 0xffffff); |
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149 | p->exp[offset] &= |
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150 | ~( r->bitmask << shift ); |
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151 | // insert e with | |
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152 | p->exp[ offset ] |= ee; |
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153 | return e; |
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154 | } |
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155 | |
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156 | // the following should be implemented more efficiently |
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157 | PINLINE2 Exponent_t p_IncrExp(poly p, int v, ring r) |
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158 | { |
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159 | p_LmCheckPolyRing2(p, r); |
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160 | Exponent_t e = p_GetExp(p,v,r); |
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161 | e++; |
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162 | return p_SetExp(p,v,e,r); |
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163 | } |
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164 | PINLINE2 Exponent_t p_DecrExp(poly p, int v, ring r) |
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165 | { |
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166 | p_LmCheckPolyRing2(p, r); |
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167 | Exponent_t e = p_GetExp(p,v,r); |
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168 | pAssume2(e > 0); |
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169 | e--; |
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170 | return p_SetExp(p,v,e,r); |
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171 | } |
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172 | PINLINE2 Exponent_t p_AddExp(poly p, int v, Exponent_t ee, ring r) |
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173 | { |
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174 | p_LmCheckPolyRing2(p, r); |
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175 | Exponent_t e = p_GetExp(p,v,r); |
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176 | e += ee; |
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177 | return p_SetExp(p,v,e,r); |
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178 | } |
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179 | PINLINE2 Exponent_t p_SubExp(poly p, int v, Exponent_t ee, ring r) |
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180 | { |
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181 | p_LmCheckPolyRing2(p, r); |
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182 | Exponent_t e = p_GetExp(p,v,r); |
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183 | pAssume2(e >= ee); |
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184 | e -= ee; |
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185 | return p_SetExp(p,v,e,r); |
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186 | } |
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187 | PINLINE2 Exponent_t p_MultExp(poly p, int v, Exponent_t ee, ring r) |
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188 | { |
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189 | p_LmCheckPolyRing2(p, r); |
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190 | Exponent_t e = p_GetExp(p,v,r); |
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191 | e *= ee; |
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192 | return p_SetExp(p,v,e,r); |
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193 | } |
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194 | |
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195 | PINLINE2 Exponent_t p_GetExpSum(poly p1, poly p2, int i, ring r) |
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196 | { |
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197 | p_LmCheckPolyRing2(p1, r); |
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198 | p_LmCheckPolyRing2(p2, r); |
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199 | return p_GetExp(p1,i,r) + p_GetExp(p2,i,r); |
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200 | } |
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201 | PINLINE2 Exponent_t p_GetExpDiff(poly p1, poly p2, int i, ring r) |
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202 | { |
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203 | return p_GetExp(p1,i,r) - p_GetExp(p2,i,r); |
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204 | } |
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205 | |
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206 | |
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207 | /*************************************************************** |
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208 | * |
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209 | * Allocation/Initalization/Deletion |
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210 | * |
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211 | ***************************************************************/ |
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212 | PINLINE2 poly p_New(ring r, omBin bin) |
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213 | { |
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214 | p_CheckRing2(r); |
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215 | pAssume2(bin != NULL && r->PolyBin->sizeW == bin->sizeW); |
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216 | poly p; |
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217 | omTypeAllocBin(poly, p, bin); |
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218 | p_SetRingOfLm(p, r); |
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219 | return p; |
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220 | } |
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221 | |
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222 | PINLINE2 poly p_New(ring r) |
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223 | { |
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224 | return p_New(r, r->PolyBin); |
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225 | } |
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226 | |
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227 | PINLINE2 void p_DeleteLm(poly *p, ring r) |
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228 | { |
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229 | pIfThen2(*p != NULL, p_LmCheckPolyRing2(*p, r)); |
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230 | poly h = *p; |
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231 | if (h != NULL) |
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232 | { |
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233 | n_Delete(&_pGetCoeff(h), r); |
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234 | *p = _pNext(h); |
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235 | omFreeBinAddr(h); |
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236 | } |
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237 | } |
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238 | PINLINE2 void p_DeleteLm(poly p, ring r) |
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239 | { |
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240 | pIfThen2(p != NULL, p_LmCheckPolyRing2(p, r)); |
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241 | if (p != NULL) |
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242 | { |
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243 | n_Delete(&_pGetCoeff(p), r); |
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244 | omFreeBinAddr(p); |
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245 | } |
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246 | } |
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247 | PINLINE2 void p_LmFree(poly p, ring r) |
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248 | { |
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249 | p_LmCheckPolyRing2(p, r); |
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250 | omFreeBinAddr(p); |
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251 | } |
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252 | PINLINE2 void p_LmFree(poly *p, ring r) |
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253 | { |
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254 | p_LmCheckPolyRing2(*p, r); |
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255 | poly h = *p; |
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256 | *p = pNext(h); |
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257 | omFreeBinAddr(h); |
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258 | } |
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259 | PINLINE2 poly p_LmFreeAndNext(poly p, ring r) |
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260 | { |
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261 | p_LmCheckPolyRing2(p, r); |
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262 | poly pnext = pNext(p); |
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263 | omFreeBinAddr(p); |
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264 | return pnext; |
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265 | } |
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266 | PINLINE2 void p_LmDelete(poly p, ring r) |
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267 | { |
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268 | p_LmCheckPolyRing2(p, r); |
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269 | n_Delete(&_pGetCoeff(p), r); |
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270 | omFreeBinAddr(p); |
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271 | } |
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272 | PINLINE2 void p_LmDelete(poly *p, ring r) |
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273 | { |
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274 | p_LmCheckPolyRing2(*p, r); |
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275 | poly h = *p; |
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276 | *p = pNext(h); |
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277 | n_Delete(&pGetCoeff(h), r); |
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278 | omFreeBinAddr(h); |
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279 | } |
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280 | PINLINE2 poly p_LmDeleteAndNext(poly p, ring r) |
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281 | { |
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282 | p_LmCheckPolyRing2(p, r); |
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283 | poly pnext = _pNext(p); |
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284 | n_Delete(&_pGetCoeff(p), r); |
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285 | omFreeBinAddr(p); |
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286 | return pnext; |
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287 | } |
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288 | |
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289 | /*************************************************************** |
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290 | * |
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291 | * Misc routines |
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292 | * |
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293 | ***************************************************************/ |
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294 | PINLINE2 int p_Cmp(poly p1, poly p2, ring r) |
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295 | { |
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296 | if (p2==NULL) |
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297 | return 1; |
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298 | if (p1==NULL) |
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299 | return -1; |
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300 | return p_LmCmp(p1,p2,r); |
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301 | } |
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302 | |
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303 | PINLINE2 Exponent_t p_GetMaxExp(poly p, ring r) |
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304 | { |
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305 | return p_GetMaxExp(p_GetMaxExpL(p, r), r); |
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306 | } |
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307 | |
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308 | PINLINE2 Exponent_t |
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309 | p_GetMaxExp(const unsigned long l, const ring r, const int number_of_exps) |
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310 | { |
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311 | unsigned long bitmask = r->bitmask; |
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312 | unsigned long max = (l & bitmask); |
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313 | unsigned long j = number_of_exps - 1; |
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314 | |
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315 | if (j > 0) |
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316 | { |
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317 | unsigned long i = r->BitsPerExp; |
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318 | Exponent_t e; |
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319 | while(1) |
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320 | { |
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321 | e = ((l >> i) & bitmask); |
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322 | if ((unsigned long) e > max) |
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323 | max = e; |
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324 | j--; |
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325 | if (j==0) break; |
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326 | i += r->BitsPerExp; |
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327 | } |
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328 | } |
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329 | return max; |
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330 | } |
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331 | |
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332 | PINLINE2 Exponent_t p_GetMaxExp(const unsigned long l, const ring r) |
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333 | { |
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334 | return p_GetMaxExp(l, r, r->ExpPerLong); |
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335 | } |
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336 | |
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337 | PINLINE2 unsigned long |
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338 | p_GetTotalDegree(const unsigned long l, const ring r, const int number_of_exps) |
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339 | { |
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340 | const unsigned long bitmask = r->bitmask; |
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341 | unsigned long sum = (l & bitmask); |
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342 | unsigned long j = number_of_exps - 1; |
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343 | |
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344 | if (j > 0) |
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345 | { |
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346 | unsigned long i = r->BitsPerExp; |
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347 | while(1) |
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348 | { |
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349 | sum += ((l >> i) & bitmask); |
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350 | j--; |
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351 | if (j==0) break; |
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352 | i += r->BitsPerExp; |
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353 | } |
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354 | } |
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355 | return sum; |
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356 | } |
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357 | |
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358 | PINLINE2 unsigned long |
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359 | p_GetTotalDegree(const unsigned long l, const ring r) |
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360 | { |
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361 | return p_GetTotalDegree(l, r, r->ExpPerLong); |
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362 | } |
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363 | |
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364 | /*************************************************************** |
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365 | * |
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366 | * Dispatcher to r->p_Procs, they do the tests/checks |
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367 | * |
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368 | ***************************************************************/ |
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369 | // returns a copy of p |
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370 | PINLINE2 poly p_Copy(poly p, const ring r) |
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371 | { |
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372 | return r->p_Procs->p_Copy(p, r); |
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373 | } |
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374 | |
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375 | PINLINE2 poly p_Copy(poly p, const ring lmRing, const ring tailRing) |
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376 | { |
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377 | #ifndef PDEBUG |
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378 | if (tailRing == lmRing) |
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379 | return tailRing->p_Procs->p_Copy(p, tailRing); |
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380 | #endif |
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381 | if (p != NULL) |
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382 | { |
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383 | poly pres = p_Head(p, lmRing); |
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384 | pNext(pres) = tailRing->p_Procs->p_Copy(pNext(p), tailRing); |
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385 | return pres; |
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386 | } |
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387 | else |
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388 | return NULL; |
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389 | } |
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390 | |
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391 | // deletes *p, and sets *p to NULL |
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392 | PINLINE2 void p_Delete(poly *p, const ring r) |
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393 | { |
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394 | r->p_Procs->p_Delete(p, r); |
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395 | } |
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396 | |
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397 | PINLINE2 void p_Delete(poly *p, const ring lmRing, const ring tailRing) |
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398 | { |
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399 | #ifndef PDEBUG |
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400 | if (tailRing == lmRing) |
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401 | { |
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402 | tailRing->p_Procs->p_Delete(p, tailRing); |
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403 | return; |
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404 | } |
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405 | #endif |
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406 | if (*p != NULL) |
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407 | { |
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408 | if (pNext(*p) != NULL) |
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409 | tailRing->p_Procs->p_Delete(&pNext(*p), tailRing); |
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410 | p_LmDelete(p, lmRing); |
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411 | } |
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412 | } |
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413 | |
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414 | PINLINE2 poly p_ShallowCopyDelete(poly p, const ring r, omBin bin) |
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415 | { |
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416 | p_LmCheckPolyRing2(p, r); |
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417 | pAssume2(r->PolyBin->sizeW == bin->sizeW); |
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418 | return r->p_Procs->p_ShallowCopyDelete(p, r, bin); |
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419 | } |
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420 | |
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421 | // returns p+q, destroys p and q |
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422 | PINLINE2 poly p_Add_q(poly p, poly q, const ring r) |
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423 | { |
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424 | int shorter; |
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425 | return r->p_Procs->p_Add_q(p, q, shorter, r); |
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426 | } |
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427 | |
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428 | PINLINE2 poly p_Add_q(poly p, poly q, int &lp, int lq, const ring r) |
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429 | { |
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430 | int shorter; |
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431 | poly res = r->p_Procs->p_Add_q(p, q, shorter, r); |
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432 | lp = (lp + lq) - shorter; |
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433 | return res; |
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434 | } |
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435 | |
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436 | // returns p*n, destroys p |
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437 | PINLINE2 poly p_Mult_nn(poly p, number n, const ring r) |
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438 | { |
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439 | return r->p_Procs->p_Mult_nn(p, n, r); |
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440 | } |
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441 | |
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442 | PINLINE2 poly p_Mult_nn(poly p, number n, const ring lmRing, |
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443 | const ring tailRing) |
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444 | { |
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445 | #ifndef PDEBUG |
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446 | if (lmRing == tailRing) |
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447 | { |
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448 | return p_Mult_nn(p, n, tailRing); |
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449 | } |
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450 | #endif |
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451 | poly pnext = pNext(p); |
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452 | pNext(p) = NULL; |
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453 | p = lmRing->p_Procs->p_Mult_nn(p, n, lmRing); |
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454 | pNext(p) = tailRing->p_Procs->p_Mult_nn(pnext, n, tailRing); |
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455 | return p; |
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456 | } |
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457 | |
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458 | // returns p*n, does not destroy p |
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459 | PINLINE2 poly pp_Mult_nn(poly p, number n, const ring r) |
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460 | { |
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461 | return r->p_Procs->pp_Mult_nn(p, n, r); |
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462 | } |
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463 | |
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464 | // returns Copy(p)*m, does neither destroy p nor m |
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465 | PINLINE2 poly pp_Mult_mm(poly p, poly m, const ring r) |
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466 | { |
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467 | poly last; |
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468 | return r->p_Procs->pp_Mult_mm(p, m, r, last); |
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469 | } |
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470 | |
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471 | // returns p*m, destroys p, const: m |
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472 | PINLINE2 poly p_Mult_mm(poly p, poly m, const ring r) |
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473 | { |
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474 | return r->p_Procs->p_Mult_mm(p, m, r); |
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475 | } |
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476 | |
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477 | // return p - m*Copy(q), destroys p; const: p,m |
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478 | PINLINE2 poly p_Minus_mm_Mult_qq(poly p, poly m, poly q, const ring r) |
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479 | { |
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480 | int shorter; |
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481 | poly last; |
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482 | return r->p_Procs->p_Minus_mm_Mult_qq(p, m, q, shorter, NULL, r, last); |
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483 | } |
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484 | PINLINE2 poly p_Minus_mm_Mult_qq(poly p, poly m, poly q, int &lp, int lq, |
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485 | poly spNoether, const ring r) |
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486 | { |
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487 | int shorter; |
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488 | poly last; |
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489 | poly res = r->p_Procs->p_Minus_mm_Mult_qq(p, m, q, shorter, spNoether, r, last); |
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490 | lp = (lp + lq) - shorter; |
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491 | return res; |
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492 | } |
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493 | |
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494 | PINLINE2 poly pp_Mult_Coeff_mm_DivSelect(poly p, const poly m, const ring r) |
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495 | { |
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496 | return r->p_Procs->pp_Mult_Coeff_mm_DivSelect(p, m, r); |
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497 | } |
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498 | |
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499 | // returns -p, destroys p |
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500 | PINLINE2 poly p_Neg(poly p, const ring r) |
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501 | { |
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502 | return r->p_Procs->p_Neg(p, r); |
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503 | } |
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504 | |
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505 | extern poly _p_Mult_q(poly p, poly q, const int copy, const ring r); |
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506 | // returns p*q, destroys p and q |
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507 | PINLINE2 poly p_Mult_q(poly p, poly q, const ring r) |
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508 | { |
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509 | if (p == NULL) |
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510 | { |
---|
511 | r->p_Procs->p_Delete(&q, r); |
---|
512 | return NULL; |
---|
513 | } |
---|
514 | if (q == NULL) |
---|
515 | { |
---|
516 | r->p_Procs->p_Delete(&p, r); |
---|
517 | return NULL; |
---|
518 | } |
---|
519 | |
---|
520 | if (pNext(p) == NULL) |
---|
521 | { |
---|
522 | #ifdef HAVE_PLURAL |
---|
523 | if (rIsPluralRing(r)) |
---|
524 | q = r->p_Procs->nc_mm_Mult_p(p, q, r); |
---|
525 | else |
---|
526 | #endif HAVE_PLURAL |
---|
527 | q = r->p_Procs->p_Mult_mm(q, p, r); |
---|
528 | |
---|
529 | r->p_Procs->p_Delete(&p, r); |
---|
530 | return q; |
---|
531 | } |
---|
532 | |
---|
533 | if (pNext(q) == NULL) |
---|
534 | { |
---|
535 | p = r->p_Procs->p_Mult_mm(p, q, r); |
---|
536 | r->p_Procs->p_Delete(&q, r); |
---|
537 | return p; |
---|
538 | } |
---|
539 | |
---|
540 | return _p_Mult_q(p, q, 0, r); |
---|
541 | } |
---|
542 | |
---|
543 | // returns p*q, does neither destroy p nor q |
---|
544 | PINLINE2 poly pp_Mult_qq(poly p, poly q, const ring r) |
---|
545 | { |
---|
546 | poly last; |
---|
547 | if (p == NULL || q == NULL) return NULL; |
---|
548 | |
---|
549 | if (pNext(p) == NULL) |
---|
550 | return r->p_Procs->pp_Mult_mm(q, p, r, last); |
---|
551 | |
---|
552 | if (pNext(q) == NULL) |
---|
553 | return r->p_Procs->pp_Mult_mm(p, q, r, last); |
---|
554 | |
---|
555 | poly qq = q; |
---|
556 | if (p == q) |
---|
557 | qq = p_Copy(q, r); |
---|
558 | |
---|
559 | poly res = _p_Mult_q(p, qq, 1, r); |
---|
560 | if (qq != q) |
---|
561 | p_Delete(&qq, r); |
---|
562 | return res; |
---|
563 | } |
---|
564 | |
---|
565 | // returns p + m*q destroys p, const: q, m |
---|
566 | // this should be implemented more efficiently |
---|
567 | PINLINE2 poly p_Plus_mm_Mult_qq(poly p, poly m, poly q, const ring r) |
---|
568 | { |
---|
569 | poly res, last; |
---|
570 | int shorter; |
---|
571 | number n_old = pGetCoeff(m); |
---|
572 | number n_neg = n_Copy(n_old, r); |
---|
573 | n_neg = n_Neg(n_neg, r); |
---|
574 | pSetCoeff0(m, n_neg); |
---|
575 | |
---|
576 | res = r->p_Procs->p_Minus_mm_Mult_qq(p, m, q, shorter, NULL, r, last); |
---|
577 | pSetCoeff0(m, n_old); |
---|
578 | n_Delete(&n_neg, r); |
---|
579 | return res; |
---|
580 | } |
---|
581 | |
---|
582 | PINLINE2 poly p_Merge_q(poly p, poly q, const ring r) |
---|
583 | { |
---|
584 | return r->p_Procs->p_Merge_q(p, q, r); |
---|
585 | } |
---|
586 | |
---|
587 | /*************************************************************** |
---|
588 | * |
---|
589 | * I/O |
---|
590 | * |
---|
591 | ***************************************************************/ |
---|
592 | PINLINE2 char* p_String(poly p, ring p_ring) |
---|
593 | { |
---|
594 | return p_String(p, p_ring, p_ring); |
---|
595 | } |
---|
596 | PINLINE2 char* p_String0(poly p, ring p_ring) |
---|
597 | { |
---|
598 | return p_String0(p, p_ring, p_ring); |
---|
599 | } |
---|
600 | PINLINE2 void p_Write(poly p, ring p_ring) |
---|
601 | { |
---|
602 | p_Write(p, p_ring, p_ring); |
---|
603 | } |
---|
604 | PINLINE2 void p_Write0(poly p, ring p_ring) |
---|
605 | { |
---|
606 | p_Write0(p, p_ring, p_ring); |
---|
607 | } |
---|
608 | PINLINE2 void p_wrp(poly p, ring p_ring) |
---|
609 | { |
---|
610 | p_wrp(p, p_ring, p_ring); |
---|
611 | } |
---|
612 | #endif // !defined(NO_PINLINE2) || defined(POLYS_IMPL_CC) |
---|
613 | #endif // PINLINE2_H |
---|
614 | |
---|