1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: kbuckets.cc,v 1.25 2003-03-03 15:24:28 Singular Exp $ */ |
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5 | |
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6 | #include "mod2.h" |
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7 | #include "tok.h" |
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8 | #include "structs.h" |
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9 | #include "omalloc.h" |
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10 | #include "p_polys.h" |
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11 | #include "febase.h" |
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12 | #include "pShallowCopyDelete.h" |
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13 | #include "kbuckets.h" |
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14 | #include "numbers.h" |
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15 | #include "p_Procs.h" |
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16 | |
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17 | #ifdef HAVE_COEF_BUCKETS |
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18 | #define USE_COEF_BUCKETS |
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19 | #endif |
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20 | |
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21 | #ifdef USE_COEF_BUCKETS |
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22 | #define MULTIPLY_BUCKET(B,I) do \ |
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23 | { if (B->coef[I]!=NULL) \ |
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24 | { \ |
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25 | B->buckets[I]=p_Mult_q(B->buckets[I],B->coef[I],B->bucket_ring); \ |
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26 | B->coef[I]=NULL; \ |
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27 | } \ |
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28 | } while(0) |
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29 | #else |
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30 | #define MULTIPLY_BUCKET(B,I) |
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31 | #endif |
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32 | static omBin kBucket_bin = omGetSpecBin(sizeof(kBucket)); |
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33 | |
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34 | ////////////////////////////////////////////////////////////////////////// |
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35 | /// |
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36 | /// Some internal stuff |
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37 | /// |
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38 | |
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39 | // returns ceil(log_4(l)) |
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40 | inline unsigned int pLogLength(unsigned int l) |
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41 | { |
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42 | unsigned int i = 0; |
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43 | |
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44 | if (l == 0) return 0; |
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45 | l--; |
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46 | #ifdef BUCKET_TWO_BASE |
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47 | while ((l = (l >> 1))) i++; |
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48 | #else |
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49 | while ((l = (l >> 2))) i++; |
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50 | #endif |
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51 | return i+1; |
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52 | } |
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53 | |
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54 | // returns ceil(log_4(pLength(p))) |
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55 | inline unsigned int pLogLength(poly p) |
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56 | { |
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57 | return pLogLength((unsigned int) pLength(p)); |
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58 | } |
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59 | |
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60 | #ifdef KDEBUG |
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61 | |
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62 | #ifndef HAVE_PSEUDO_BUCKETS |
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63 | BOOLEAN kbTest_i(kBucket_pt bucket, int i) |
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64 | { |
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65 | #ifdef USE_COEF_BUCKETS |
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66 | assume(bucket->coef[0]==NULL); |
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67 | if ((bucket->coef[i]!=NULL) && (bucket->buckets[i]==NULL)) |
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68 | { |
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69 | dReportError("Bucket %d coef not NULL", i); |
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70 | } |
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71 | if (bucket->coef[i]!=NULL) |
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72 | _p_Test(bucket->coef[i],bucket->bucket_ring,PDEBUG); |
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73 | #endif |
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74 | pFalseReturn(p_Test(bucket->buckets[i], bucket->bucket_ring)); |
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75 | if (bucket->buckets_length[i] != pLength(bucket->buckets[i])) |
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76 | { |
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77 | dReportError("Bucket %d lengths difference should:%d has:%d", |
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78 | i, bucket->buckets_length[i], pLength(bucket->buckets[i])); |
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79 | } |
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80 | else if (i > 0 && (int) pLogLength(bucket->buckets_length[i]) > i) |
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81 | { |
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82 | dReportError("Bucket %d too long %d", |
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83 | i, bucket->buckets_length[i]); |
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84 | } |
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85 | if (i==0 && bucket->buckets_length[0] > 1) |
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86 | { |
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87 | dReportError("Bucket 0 too long"); |
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88 | } |
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89 | return TRUE; |
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90 | } |
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91 | |
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92 | |
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93 | BOOLEAN kbTest(kBucket_pt bucket) |
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94 | { |
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95 | int i; |
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96 | poly lm = bucket->buckets[0]; |
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97 | |
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98 | omCheckAddrBin(bucket, kBucket_bin); |
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99 | if (! kbTest_i(bucket, 0)) return FALSE; |
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100 | for (i=1; i<= (int) bucket->buckets_used; i++) |
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101 | { |
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102 | if (!kbTest_i(bucket, i)) return FALSE; |
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103 | if (lm != NULL && bucket->buckets[i] != NULL |
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104 | && p_LmCmp(lm, bucket->buckets[i], bucket->bucket_ring) != 1) |
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105 | { |
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106 | dReportError("Bucket %d larger than lm", i); |
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107 | return FALSE; |
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108 | } |
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109 | if (!p_Test(bucket->buckets[i],bucket->bucket_ring)) |
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110 | { |
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111 | dReportError("Bucket %d is not =0(4)", i); |
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112 | return FALSE; |
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113 | } |
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114 | } |
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115 | |
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116 | for (; i<=MAX_BUCKET; i++) |
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117 | { |
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118 | if (bucket->buckets[i] != NULL || bucket->buckets_length[i] != 0) |
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119 | { |
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120 | dReportError("Bucket %d not zero", i); |
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121 | return FALSE; |
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122 | } |
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123 | } |
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124 | return TRUE; |
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125 | } |
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126 | |
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127 | #else // HAVE_PSEUDO_BUCKETS |
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128 | BOOLEAN kbTest(kBucket_pt bucket) |
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129 | { |
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130 | return TRUE; |
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131 | } |
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132 | #endif // ! HAVE_PSEUDO_BUCKETS |
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133 | #endif // KDEBUG |
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134 | |
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135 | ////////////////////////////////////////////////////////////////////////// |
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136 | /// |
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137 | /// Creation/Destruction of buckets |
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138 | /// |
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139 | |
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140 | kBucket_pt kBucketCreate(ring bucket_ring) |
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141 | { |
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142 | assume(bucket_ring != NULL); |
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143 | kBucket_pt bucket = (kBucket_pt) omAlloc0Bin(kBucket_bin); |
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144 | bucket->bucket_ring = bucket_ring; |
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145 | return bucket; |
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146 | } |
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147 | void kBucketDestroy(kBucket_pt *bucket_pt) |
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148 | { |
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149 | omFreeBin(*bucket_pt, kBucket_bin); |
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150 | *bucket_pt = NULL; |
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151 | } |
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152 | |
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153 | |
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154 | void kBucketDeleteAndDestroy(kBucket_pt *bucket_pt) |
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155 | { |
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156 | kBucket_pt bucket = *bucket_pt; |
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157 | kbTest(bucket); |
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158 | int i; |
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159 | for (i=0; i<= bucket->buckets_used; i++) |
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160 | { |
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161 | if (bucket->buckets[i] != NULL) |
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162 | { |
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163 | p_Delete(&(bucket->buckets[i]), bucket->bucket_ring); |
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164 | #ifdef USE_COEF_BUCKETS |
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165 | if (bucket->coef[i]!=NULL) |
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166 | p_Delete(&(bucket->coef[i]), bucket->bucket_ring); |
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167 | #endif |
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168 | } |
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169 | } |
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170 | omFreeBin(bucket, kBucket_bin); |
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171 | *bucket_pt = NULL; |
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172 | } |
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173 | |
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174 | ///////////////////////////////////////////////////////////////////////////// |
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175 | // Convertion from/to Bpolys |
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176 | // |
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177 | #ifndef HAVE_PSEUDO_BUCKETS |
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178 | |
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179 | inline void kBucketMergeLm(kBucket_pt bucket) |
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180 | { |
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181 | if (bucket->buckets[0] != NULL) |
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182 | { |
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183 | poly lm = bucket->buckets[0]; |
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184 | int i = 1; |
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185 | #ifdef BUCKET_TWO_BASE |
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186 | int l = 2; |
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187 | while ( bucket->buckets_length[i] >= l) |
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188 | { |
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189 | i++; |
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190 | l = l << 1; |
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191 | } |
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192 | #else |
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193 | int l = 4; |
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194 | while ( bucket->buckets_length[i] >= l) |
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195 | { |
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196 | i++; |
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197 | l = l << 2; |
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198 | } |
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199 | #endif |
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200 | MULTIPLY_BUCKET(bucket,i); |
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201 | pNext(lm) = bucket->buckets[i]; |
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202 | bucket->buckets[i] = lm; |
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203 | bucket->buckets_length[i]++; |
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204 | assume(i <= bucket->buckets_used+1); |
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205 | if (i > bucket->buckets_used) bucket->buckets_used = i; |
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206 | bucket->buckets[0] = NULL; |
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207 | bucket->buckets_length[0] = 0; |
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208 | } |
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209 | } |
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210 | |
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211 | static BOOLEAN kBucketIsCleared(kBucket_pt bucket) |
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212 | { |
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213 | int i; |
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214 | |
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215 | for (i = 0;i<=MAX_BUCKET;i++) |
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216 | { |
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217 | if (bucket->buckets[i] != NULL) return FALSE; |
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218 | if (bucket->buckets_length[i] != 0) return FALSE; |
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219 | } |
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220 | return TRUE; |
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221 | } |
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222 | |
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223 | void kBucketInit(kBucket_pt bucket, poly lm, int length) |
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224 | { |
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225 | assume(bucket != NULL); |
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226 | assume(length <= 0 || length == pLength(lm)); |
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227 | assume(kBucketIsCleared(bucket)); |
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228 | |
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229 | if (lm == NULL) return; |
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230 | |
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231 | if (length <= 0) |
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232 | length = pLength(lm); |
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233 | |
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234 | bucket->buckets[0] = lm; |
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235 | bucket->buckets_length[0] = 1; |
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236 | if (length > 1) |
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237 | { |
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238 | unsigned int i = pLogLength(length-1); |
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239 | bucket->buckets[i] = pNext(lm); |
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240 | pNext(lm) = NULL; |
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241 | bucket->buckets_length[i] = length-1; |
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242 | bucket->buckets_used = i; |
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243 | } |
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244 | else |
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245 | { |
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246 | bucket->buckets_used = 0; |
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247 | } |
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248 | } |
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249 | |
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250 | int kBucketCanonicalize(kBucket_pt bucket) |
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251 | { |
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252 | kbTest(bucket); |
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253 | poly p = bucket->buckets[1]; |
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254 | poly lm; |
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255 | int pl = bucket->buckets_length[1], i; |
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256 | bucket->buckets[1] = NULL; |
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257 | bucket->buckets_length[1] = 0; |
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258 | ring r=bucket->bucket_ring; |
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259 | |
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260 | |
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261 | for (i=2; i<=bucket->buckets_used; i++) |
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262 | { |
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263 | #ifdef USE_COEF_BUCKETS |
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264 | if (bucket->coef[i]!=NULL) |
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265 | { |
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266 | p = p_Plus_mm_Mult_qq(p, bucket->coef[i], bucket->buckets[i], |
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267 | pl, bucket->buckets_length[i], r); |
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268 | p_Delete(&bucket->coef[i],r); |
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269 | p_Delete(&bucket->buckets[i],r); |
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270 | } |
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271 | else |
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272 | p = p_Add_q(p, bucket->buckets[i], |
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273 | pl, bucket->buckets_length[i], r); |
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274 | #else |
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275 | q = p_Add_q(q, bucket->buckets[i], |
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276 | pl, bucket->buckets_length[i], r); |
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277 | #endif |
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278 | bucket->buckets[i] = NULL; |
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279 | bucket->buckets_length[i] = 0; |
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280 | } |
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281 | |
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282 | lm = bucket->buckets[0]; |
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283 | if (lm != NULL) |
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284 | { |
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285 | pNext(lm) = p; |
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286 | p = lm; |
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287 | pl++; |
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288 | bucket->buckets[0] = NULL; |
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289 | bucket->buckets_length[0] = 0; |
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290 | } |
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291 | if (pl > 0) |
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292 | { |
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293 | i = pLogLength(pl); |
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294 | bucket->buckets[i] = p; |
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295 | bucket->buckets_length[i] = pl; |
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296 | } |
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297 | else |
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298 | { |
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299 | i = 0; |
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300 | } |
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301 | bucket->buckets_used = i; |
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302 | assume(pLength(p) == (int) pl); |
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303 | kbTest(bucket); |
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304 | return i; |
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305 | } |
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306 | |
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307 | void kBucketClear(kBucket_pt bucket, poly *p, int *length) |
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308 | { |
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309 | int i = kBucketCanonicalize(bucket); |
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310 | if (i > 0) |
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311 | { |
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312 | *p = bucket->buckets[i]; |
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313 | *length = bucket->buckets_length[i]; |
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314 | bucket->buckets[i] = NULL; |
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315 | bucket->buckets_length[i] = 0; |
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316 | bucket->buckets_used = 0; |
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317 | #ifdef USE_COEF_BUCKETS |
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318 | bucket->coef[i]=NULL; |
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319 | #endif |
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320 | } |
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321 | else |
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322 | { |
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323 | *p = NULL; |
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324 | *length = 0; |
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325 | } |
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326 | } |
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327 | |
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328 | void kBucketSetLm(kBucket_pt bucket, poly lm) |
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329 | { |
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330 | kBucketMergeLm(bucket); |
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331 | pNext(lm) = NULL; |
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332 | bucket->buckets[0] = lm; |
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333 | bucket->buckets_length[0] = 1; |
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334 | } |
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335 | |
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336 | #else // HAVE_PSEUDO_BUCKETS |
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337 | |
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338 | void kBucketInit(kBucket_pt bucket, poly lm, int length) |
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339 | { |
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340 | int i; |
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341 | |
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342 | assume(bucket != NULL); |
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343 | assume(length <= 0 || length == pLength(lm)); |
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344 | |
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345 | bucket->p = lm; |
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346 | if (length <= 0) bucket->l = pLength(lm); |
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347 | else bucket->l = length; |
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348 | |
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349 | } |
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350 | |
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351 | const poly kBucketGetLm(kBucket_pt bucket) |
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352 | { |
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353 | return bucket->p; |
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354 | } |
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355 | |
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356 | poly kBucketExtractLm(kBucket_pt bucket) |
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357 | { |
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358 | poly lm = bucket->p; |
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359 | assume(pLength(bucket->p) == bucket->l); |
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360 | pIter(bucket->p); |
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361 | (bucket->l)--; |
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362 | pNext(lm) = NULL; |
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363 | return lm; |
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364 | } |
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365 | |
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366 | void kBucketClear(kBucket_pt bucket, poly *p, int *length) |
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367 | { |
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368 | assume(pLength(bucket->p) == bucket->l); |
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369 | *p = bucket->p; |
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370 | *length = bucket->l; |
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371 | bucket->p = NULL; |
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372 | bucket->l = 0; |
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373 | } |
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374 | |
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375 | #endif // ! HAVE_PSEUDO_BUCKETS |
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376 | ////////////////////////////////////////////////////////////////////////// |
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377 | /// |
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378 | /// For changing the ring of the Bpoly to new_tailBin |
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379 | /// |
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380 | void kBucketShallowCopyDelete(kBucket_pt bucket, |
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381 | ring new_tailRing, omBin new_tailBin, |
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382 | pShallowCopyDeleteProc p_shallow_copy_delete) |
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383 | { |
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384 | #ifndef HAVE_PSEUDO_BUCKETS |
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385 | int i; |
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386 | |
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387 | kBucketCanonicalize(bucket); |
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388 | for (i=0; i<= bucket->buckets_used; i++) |
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389 | if (bucket->buckets[i] != NULL) |
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390 | { |
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391 | MULTIPLY_BUCKET(bucket,i); |
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392 | bucket->buckets[i] = p_shallow_copy_delete(bucket->buckets[i], |
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393 | bucket->bucket_ring, |
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394 | new_tailRing, |
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395 | new_tailBin); |
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396 | } |
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397 | #else |
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398 | bucket->p = p_shallow_copy_delete(p, |
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399 | bucket_ring, |
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400 | new_tailRing, |
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401 | new_tailBin); |
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402 | #endif |
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403 | bucket->bucket_ring = new_tailRing; |
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404 | } |
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405 | |
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406 | |
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407 | |
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408 | ////////////////////////////////////////////////////////////////////////// |
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409 | /// |
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410 | /// Multiply Bucket by number ,i.e. Bpoly == n*Bpoly |
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411 | /// |
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412 | void kBucket_Mult_n(kBucket_pt bucket, number n) |
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413 | { |
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414 | #ifndef HAVE_PSEUDO_BUCKETS |
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415 | kbTest(bucket); |
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416 | ring r=bucket->bucket_ring; |
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417 | int i; |
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418 | |
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419 | for (i=0; i<= bucket->buckets_used; i++) |
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420 | { |
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421 | if (bucket->buckets[i] != NULL) |
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422 | { |
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423 | #ifdef USE_COEF_BUCKETS |
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424 | if (i<2) |
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425 | bucket->buckets[i] = p_Mult_nn(bucket->buckets[i], n, r); |
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426 | else |
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427 | if (bucket->coef[i]!=NULL) |
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428 | { |
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429 | bucket->coef[i] = p_Mult_nn(bucket->coef[i],n,r); |
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430 | } |
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431 | else |
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432 | { |
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433 | bucket->coef[i] = p_NSet(n_Copy(n,bucket->bucket_ring),r); |
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434 | } |
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435 | #else |
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436 | bucket->buckets[i] = p_Mult_nn(bucket->buckets[i], n, r); |
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437 | #endif |
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438 | } |
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439 | } |
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440 | kbTest(bucket); |
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441 | #else |
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442 | bucket->p = p_Mult_nn(bucket->p, n, bucket->bucket_ring); |
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443 | #endif |
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444 | } |
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445 | |
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446 | |
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447 | ////////////////////////////////////////////////////////////////////////// |
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448 | /// |
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449 | /// Add to Bucket a poly ,i.e. Bpoly == n*Bpoly |
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450 | /// |
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451 | void kBucket_Add_q(kBucket_pt bucket, poly q, int *l) |
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452 | { |
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453 | if (q == NULL) return; |
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454 | assume(*l <= 0 || pLength(q) == *l); |
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455 | |
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456 | int i, l1; |
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457 | ring r = bucket->bucket_ring; |
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458 | |
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459 | if (*l <= 0) |
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460 | { |
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461 | l1 = pLength(q); |
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462 | *l = l1; |
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463 | } |
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464 | else |
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465 | l1 = *l; |
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466 | |
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467 | kBucketMergeLm(bucket); |
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468 | kbTest(bucket); |
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469 | i = pLogLength(l1); |
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470 | |
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471 | while (bucket->buckets[i] != NULL) |
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472 | { |
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473 | //MULTIPLY_BUCKET(bucket,i); |
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474 | #ifdef USE_COEF_BUCKETS |
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475 | if (bucket->coef[i]!=NULL) |
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476 | { |
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477 | q = p_Plus_mm_Mult_qq(q, bucket->coef[i], bucket->buckets[i], |
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478 | l1, bucket->buckets_length[i], r); |
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479 | p_Delete(&bucket->coef[i],r); |
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480 | p_Delete(&bucket->buckets[i],r); |
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481 | } |
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482 | else |
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483 | q = p_Add_q(q, bucket->buckets[i], |
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484 | l1, bucket->buckets_length[i], r); |
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485 | #else |
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486 | q = p_Add_q(q, bucket->buckets[i], |
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487 | l1, bucket->buckets_length[i], r); |
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488 | #endif |
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489 | bucket->buckets[i] = NULL; |
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490 | bucket->buckets_length[i] = 0; |
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491 | i = pLogLength(l1); |
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492 | } |
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493 | |
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494 | bucket->buckets[i] = q; |
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495 | bucket->buckets_length[i]=l1; |
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496 | if (i >= bucket->buckets_used) |
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497 | bucket->buckets_used = i; |
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498 | else |
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499 | kBucketAdjustBucketsUsed(bucket); |
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500 | kbTest(bucket); |
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501 | } |
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502 | |
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503 | |
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504 | |
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505 | ////////////////////////////////////////////////////////////////////////// |
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506 | /// |
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507 | /// Bpoly == Bpoly - m*p; where m is a monom |
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508 | /// Does not destroy p and m |
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509 | /// assume (*l <= 0 || pLength(p) == *l) |
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510 | void kBucket_Minus_m_Mult_p(kBucket_pt bucket, poly m, poly p, int *l, |
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511 | poly spNoether) |
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512 | { |
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513 | assume(*l <= 0 || pLength(p) == *l); |
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514 | int i, l1; |
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515 | poly p1 = p; |
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516 | poly last; |
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517 | ring r = bucket->bucket_ring; |
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518 | |
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519 | if (*l <= 0) |
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520 | { |
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521 | l1 = pLength(p1); |
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522 | *l = l1; |
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523 | } |
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524 | else |
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525 | l1 = *l; |
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526 | |
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527 | if (m == NULL || p == NULL) return; |
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528 | |
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529 | #ifndef HAVE_PSEUDO_BUCKETS |
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530 | kBucketMergeLm(bucket); |
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531 | kbTest(bucket); |
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532 | i = pLogLength(l1); |
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533 | |
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534 | if ((i <= bucket->buckets_used) && (bucket->buckets[i] != NULL)) |
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535 | { |
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536 | assume(pLength(bucket->buckets[i])==bucket->buckets_length[i]); |
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537 | //#ifdef USE_COEF_BUCKETS |
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538 | // if(bucket->coef[i]!=NULL) |
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539 | // { |
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540 | // poly mult=p_Mult_mm(bucket->coef[i],m,r); |
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541 | // bucket->coef[i]=NULL; |
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542 | // p1 = p_Minus_mm_Mult_qq(bucket->buckets[i], mult, p1, |
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543 | // bucket->buckets_length[i], l1, |
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544 | // spNoether, r); |
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545 | // } |
---|
546 | // else |
---|
547 | //#endif |
---|
548 | MULTIPLY_BUCKET(bucket,i); |
---|
549 | p1 = p_Minus_mm_Mult_qq(bucket->buckets[i], m, p1, |
---|
550 | bucket->buckets_length[i], l1, |
---|
551 | spNoether, r); |
---|
552 | l1 = bucket->buckets_length[i]; |
---|
553 | bucket->buckets[i] = NULL; |
---|
554 | bucket->buckets_length[i] = 0; |
---|
555 | i = pLogLength(l1); |
---|
556 | } |
---|
557 | else |
---|
558 | { |
---|
559 | pSetCoeff0(m, nNeg(pGetCoeff(m))); |
---|
560 | if (spNoether != NULL) |
---|
561 | { |
---|
562 | l1 = -1; |
---|
563 | p1 = r->p_Procs->pp_Mult_mm_Noether(p1, m, spNoether, l1, r, last); |
---|
564 | i = pLogLength(l1); |
---|
565 | } |
---|
566 | else |
---|
567 | p1 = r->p_Procs->pp_Mult_mm(p1, m, r, last); |
---|
568 | pSetCoeff0(m, nNeg(pGetCoeff(m))); |
---|
569 | } |
---|
570 | |
---|
571 | while (bucket->buckets[i] != NULL) |
---|
572 | { |
---|
573 | //kbTest(bucket); |
---|
574 | MULTIPLY_BUCKET(bucket,i); |
---|
575 | p1 = p_Add_q(p1, bucket->buckets[i], |
---|
576 | l1, bucket->buckets_length[i], r); |
---|
577 | bucket->buckets[i] = NULL; |
---|
578 | bucket->buckets_length[i] = 0; |
---|
579 | i = pLogLength(l1); |
---|
580 | } |
---|
581 | |
---|
582 | bucket->buckets[i] = p1; |
---|
583 | bucket->buckets_length[i]=l1; |
---|
584 | if (i >= bucket->buckets_used) |
---|
585 | bucket->buckets_used = i; |
---|
586 | else |
---|
587 | kBucketAdjustBucketsUsed(bucket); |
---|
588 | #else // HAVE_PSEUDO_BUCKETS |
---|
589 | bucket->p = p_Minus_mm_Mult_qq(bucket->p, m, p, |
---|
590 | bucket->l, l1, |
---|
591 | spNoether, r); |
---|
592 | #endif |
---|
593 | } |
---|
594 | |
---|
595 | ////////////////////////////////////////////////////////////////////////// |
---|
596 | /// |
---|
597 | /// Bpoly == Bpoly + m*p; where m is a monom |
---|
598 | /// Does not destroy p and m |
---|
599 | /// assume (l <= 0 || pLength(p) == l) |
---|
600 | void kBucket_Plus_mm_Mult_pp(kBucket_pt bucket, poly m, poly p, int l) |
---|
601 | { |
---|
602 | assume(l <= 0 || pLength(p) == l); |
---|
603 | int i, l1; |
---|
604 | poly p1 = p; |
---|
605 | poly last; |
---|
606 | ring r = bucket->bucket_ring; |
---|
607 | |
---|
608 | if (l <= 0) |
---|
609 | { |
---|
610 | l1 = pLength(p1); |
---|
611 | l = l1; |
---|
612 | } |
---|
613 | else |
---|
614 | l1 = l; |
---|
615 | |
---|
616 | if (m == NULL || p == NULL) return; |
---|
617 | |
---|
618 | kBucketMergeLm(bucket); |
---|
619 | kbTest(bucket); |
---|
620 | i = pLogLength(l1); |
---|
621 | |
---|
622 | if (i <= bucket->buckets_used && bucket->buckets[i] != NULL) |
---|
623 | { |
---|
624 | MULTIPLY_BUCKET(bucket,i); |
---|
625 | p1 = p_Plus_mm_Mult_qq(bucket->buckets[i], m, p1, |
---|
626 | bucket->buckets_length[i], l1, r); |
---|
627 | l1 = bucket->buckets_length[i]; |
---|
628 | bucket->buckets[i] = NULL; |
---|
629 | bucket->buckets_length[i] = 0; |
---|
630 | i = pLogLength(l1); |
---|
631 | } |
---|
632 | else |
---|
633 | { |
---|
634 | p1 = r->p_Procs->pp_Mult_mm(p1, m, r, last); |
---|
635 | } |
---|
636 | |
---|
637 | while (bucket->buckets[i] != NULL) |
---|
638 | { |
---|
639 | MULTIPLY_BUCKET(bucket,i); |
---|
640 | p1 = p_Add_q(p1, bucket->buckets[i], |
---|
641 | l1, bucket->buckets_length[i], r); |
---|
642 | bucket->buckets[i] = NULL; |
---|
643 | bucket->buckets_length[i] = 0; |
---|
644 | i = pLogLength(l1); |
---|
645 | } |
---|
646 | |
---|
647 | bucket->buckets[i] = p1; |
---|
648 | bucket->buckets_length[i]=l1; |
---|
649 | if (i >= bucket->buckets_used) |
---|
650 | bucket->buckets_used = i; |
---|
651 | else |
---|
652 | kBucketAdjustBucketsUsed(bucket); |
---|
653 | |
---|
654 | kbTest(bucket); |
---|
655 | } |
---|
656 | |
---|
657 | poly kBucket_ExtractLarger(kBucket_pt bucket, poly q, poly append) |
---|
658 | { |
---|
659 | if (q == NULL) return append; |
---|
660 | poly lm; |
---|
661 | loop |
---|
662 | { |
---|
663 | lm = kBucketGetLm(bucket); |
---|
664 | if (lm == NULL) return append; |
---|
665 | if (p_LmCmp(lm, q, bucket->bucket_ring) == 1) |
---|
666 | { |
---|
667 | lm = kBucketExtractLm(bucket); |
---|
668 | pNext(append) = lm; |
---|
669 | pIter(append); |
---|
670 | } |
---|
671 | else |
---|
672 | { |
---|
673 | return append; |
---|
674 | } |
---|
675 | } |
---|
676 | } |
---|
677 | |
---|
678 | ///////////////////////////////////////////////////////////////////////////// |
---|
679 | // |
---|
680 | // Extract all monomials from bucket with component comp |
---|
681 | // Return as a polynomial *p with length *l |
---|
682 | // In other words, afterwards |
---|
683 | // Bpoly = Bpoly - (poly consisting of all monomials with component comp) |
---|
684 | // and components of monomials of *p are all 0 |
---|
685 | // |
---|
686 | |
---|
687 | // Hmm... for now I'm too lazy to implement those independent of currRing |
---|
688 | // But better declare it extern than including polys.h |
---|
689 | extern void pTakeOutComp(poly *p, Exponent_t comp, poly *q, int *lq); |
---|
690 | void pDecrOrdTakeOutComp(poly *p, Exponent_t comp, Order_t order, |
---|
691 | poly *q, int *lq); |
---|
692 | |
---|
693 | void kBucketTakeOutComp(kBucket_pt bucket, |
---|
694 | Exponent_t comp, |
---|
695 | poly *r_p, int *l) |
---|
696 | { |
---|
697 | poly p = NULL, q; |
---|
698 | int i, lp = 0, lq; |
---|
699 | |
---|
700 | #ifndef HAVE_PSEUDO_BUCKETS |
---|
701 | kBucketMergeLm(bucket); |
---|
702 | for (i=1; i<=bucket->buckets_used; i++) |
---|
703 | { |
---|
704 | if (bucket->buckets[i] != NULL) |
---|
705 | { |
---|
706 | MULTIPLY_BUCKET(bucket,i); |
---|
707 | pTakeOutComp(&(bucket->buckets[i]), comp, &q, &lq); |
---|
708 | if (q != NULL) |
---|
709 | { |
---|
710 | assume(pLength(q) == lq); |
---|
711 | bucket->buckets_length[i] -= lq; |
---|
712 | assume(pLength(bucket->buckets[i]) == bucket->buckets_length[i]); |
---|
713 | p = p_Add_q(p, q, lp, lq, bucket->bucket_ring); |
---|
714 | } |
---|
715 | } |
---|
716 | } |
---|
717 | kBucketAdjustBucketsUsed(bucket); |
---|
718 | #else |
---|
719 | pTakeOutComp(&(bucket->p), comp, &p, &lp); |
---|
720 | (bucket->l) -= lp; |
---|
721 | #endif |
---|
722 | *r_p = p; |
---|
723 | *l = lp; |
---|
724 | |
---|
725 | kbTest(bucket); |
---|
726 | } |
---|
727 | |
---|
728 | void kBucketDecrOrdTakeOutComp(kBucket_pt bucket, |
---|
729 | Exponent_t comp, Order_t order, |
---|
730 | poly *r_p, int *l) |
---|
731 | { |
---|
732 | poly p = NULL, q; |
---|
733 | int i, lp = 0, lq; |
---|
734 | |
---|
735 | #ifndef HAVE_PSEUDO_BUCKETS |
---|
736 | kBucketMergeLm(bucket); |
---|
737 | for (i=1; i<=bucket->buckets_used; i++) |
---|
738 | { |
---|
739 | if (bucket->buckets[i] != NULL) |
---|
740 | { |
---|
741 | MULTIPLY_BUCKET(bucket,i); |
---|
742 | pDecrOrdTakeOutComp(&(bucket->buckets[i]), comp, order, &q, &lq); |
---|
743 | if (q != NULL) |
---|
744 | { |
---|
745 | bucket->buckets_length[i] -= lq; |
---|
746 | p = p_Add_q(p, q, lp, lq, bucket->bucket_ring); |
---|
747 | } |
---|
748 | } |
---|
749 | } |
---|
750 | kBucketAdjustBucketsUsed(bucket); |
---|
751 | #else |
---|
752 | pDecrOrdTakeOutComp(&(bucket->p), comp, order, &p, &lp); |
---|
753 | (bucket->l) -= lp; |
---|
754 | #endif |
---|
755 | |
---|
756 | *r_p = p; |
---|
757 | *l = lp; |
---|
758 | } |
---|
759 | |
---|
760 | ///////////////////////////////////////////////////////////////////////////// |
---|
761 | // Reduction of Bpoly with a given poly |
---|
762 | // |
---|
763 | |
---|
764 | extern int ksCheckCoeff(number *a, number *b); |
---|
765 | |
---|
766 | number kBucketPolyRed(kBucket_pt bucket, |
---|
767 | poly p1, int l1, |
---|
768 | poly spNoether) |
---|
769 | { |
---|
770 | assume(p1 != NULL && |
---|
771 | p_DivisibleBy(p1, kBucketGetLm(bucket), bucket->bucket_ring)); |
---|
772 | assume(pLength(p1) == (int) l1); |
---|
773 | |
---|
774 | poly a1 = pNext(p1), lm = kBucketExtractLm(bucket); |
---|
775 | BOOLEAN reset_vec=FALSE; |
---|
776 | number rn; |
---|
777 | |
---|
778 | if(a1==NULL) |
---|
779 | { |
---|
780 | p_DeleteLm(&lm, bucket->bucket_ring); |
---|
781 | return nInit(1); |
---|
782 | } |
---|
783 | |
---|
784 | if (! nIsOne(pGetCoeff(p1))) |
---|
785 | { |
---|
786 | number an = pGetCoeff(p1), bn = pGetCoeff(lm); |
---|
787 | int ct = ksCheckCoeff(&an, &bn); |
---|
788 | p_SetCoeff(lm, bn, bucket->bucket_ring); |
---|
789 | if ((ct == 0) || (ct == 2)) kBucket_Mult_n(bucket, an); |
---|
790 | rn = an; |
---|
791 | } |
---|
792 | else |
---|
793 | { |
---|
794 | rn = nInit(1); |
---|
795 | } |
---|
796 | |
---|
797 | if (p_GetComp(p1, bucket->bucket_ring) != p_GetComp(lm, bucket->bucket_ring)) |
---|
798 | { |
---|
799 | p_SetCompP(a1, p_GetComp(lm, bucket->bucket_ring), bucket->bucket_ring); |
---|
800 | reset_vec = TRUE; |
---|
801 | p_SetComp(lm, p_GetComp(p1, bucket->bucket_ring), bucket->bucket_ring); |
---|
802 | p_Setm(lm, bucket->bucket_ring); |
---|
803 | } |
---|
804 | |
---|
805 | p_ExpVectorSub(lm,p1, bucket->bucket_ring); |
---|
806 | l1--; |
---|
807 | |
---|
808 | kBucket_Minus_m_Mult_p(bucket, lm, a1, &l1, spNoether); |
---|
809 | |
---|
810 | p_DeleteLm(&lm, bucket->bucket_ring); |
---|
811 | if (reset_vec) p_SetCompP(a1, 0, bucket->bucket_ring); |
---|
812 | kbTest(bucket); |
---|
813 | return rn; |
---|
814 | } |
---|
815 | |
---|
816 | |
---|