1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: kbuckets.cc,v 1.22 2000-11-28 11:50:51 obachman 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 | static omBin kBucket_bin = omGetSpecBin(sizeof(kBucket)); |
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18 | |
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19 | ////////////////////////////////////////////////////////////////////////// |
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20 | /// |
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21 | /// Some internal stuff |
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22 | /// |
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23 | |
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24 | // returns ceil(log_4(l)) |
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25 | inline unsigned int pLogLength(unsigned int l) |
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26 | { |
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27 | unsigned int i = 0; |
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28 | |
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29 | if (l == 0) return 0; |
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30 | l--; |
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31 | #ifdef BUCKET_TWO_BASE |
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32 | while ((l = (l >> 1))) i++; |
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33 | #else |
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34 | while ((l = (l >> 2))) i++; |
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35 | #endif |
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36 | return i+1; |
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37 | } |
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38 | |
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39 | // returns ceil(log_4(pLength(p))) |
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40 | inline unsigned int pLogLength(poly p) |
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41 | { |
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42 | return pLogLength((unsigned int) pLength(p)); |
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43 | } |
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44 | |
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45 | #ifdef KDEBUG |
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46 | |
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47 | #ifndef HAVE_PSEUDO_BUCKETS |
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48 | BOOLEAN kbTest_i(kBucket_pt bucket, int i) |
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49 | { |
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50 | pFalseReturn(p_Test(bucket->buckets[i], bucket->bucket_ring)); |
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51 | if (bucket->buckets_length[i] != pLength(bucket->buckets[i])) |
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52 | { |
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53 | dReportError("Bucket %d lengths difference should:%d has:%d", |
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54 | i, bucket->buckets_length[i], pLength(bucket->buckets[i])); |
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55 | } |
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56 | else if (i > 0 && (int) pLogLength(bucket->buckets_length[i]) > i) |
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57 | { |
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58 | dReportError("Bucket %d too long %d", |
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59 | i, bucket->buckets_length[i]); |
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60 | } |
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61 | if (i==0 && bucket->buckets_length[0] > 1) |
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62 | { |
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63 | dReportError("Bucket 0 too long"); |
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64 | } |
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65 | return TRUE; |
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66 | } |
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67 | |
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68 | |
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69 | BOOLEAN kbTest(kBucket_pt bucket) |
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70 | { |
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71 | int i; |
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72 | poly lm = bucket->buckets[0]; |
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73 | |
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74 | omCheckAddrBin(bucket, kBucket_bin); |
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75 | if (! kbTest_i(bucket, 0)) return FALSE; |
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76 | for (i=1; i<= (int) bucket->buckets_used; i++) |
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77 | { |
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78 | if (!kbTest_i(bucket, i)) return FALSE; |
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79 | if (lm != NULL && bucket->buckets[i] != NULL |
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80 | && p_LmCmp(lm, bucket->buckets[i], bucket->bucket_ring) != 1) |
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81 | { |
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82 | dReportError("Bucket %d larger than lm", i); |
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83 | return FALSE; |
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84 | } |
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85 | } |
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86 | |
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87 | for (; i<=MAX_BUCKET; i++) |
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88 | { |
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89 | if (bucket->buckets[i] != NULL || bucket->buckets_length[i] != 0) |
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90 | { |
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91 | dReportError("Bucket %d not zero", i); |
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92 | return FALSE; |
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93 | } |
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94 | } |
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95 | return TRUE; |
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96 | } |
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97 | |
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98 | #else // HAVE_PSEUDO_BUCKETS |
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99 | BOOLEAN kbTest(kBucket_pt bucket) |
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100 | { |
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101 | return TRUE; |
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102 | } |
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103 | #endif // ! HAVE_PSEUDO_BUCKETS |
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104 | #endif // KDEBUG |
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105 | |
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106 | ////////////////////////////////////////////////////////////////////////// |
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107 | /// |
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108 | /// Creation/Destruction of buckets |
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109 | /// |
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110 | |
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111 | kBucket_pt kBucketCreate(ring bucket_ring) |
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112 | { |
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113 | assume(bucket_ring != NULL); |
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114 | kBucket_pt bucket = (kBucket_pt) omAlloc0Bin(kBucket_bin); |
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115 | bucket->bucket_ring = bucket_ring; |
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116 | return bucket; |
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117 | } |
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118 | void kBucketDestroy(kBucket_pt *bucket_pt) |
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119 | { |
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120 | omFreeBin(*bucket_pt, kBucket_bin); |
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121 | *bucket_pt = NULL; |
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122 | } |
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123 | |
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124 | |
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125 | void kBucketDeleteAndDestroy(kBucket_pt *bucket_pt) |
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126 | { |
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127 | kBucket_pt bucket = *bucket_pt; |
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128 | kbTest(bucket); |
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129 | int i; |
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130 | for (i=0; i<= bucket->buckets_used; i++) |
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131 | { |
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132 | if (bucket->buckets[i] != NULL) |
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133 | p_Delete(&(bucket->buckets[i]), bucket->bucket_ring); |
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134 | } |
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135 | omFreeBin(bucket, kBucket_bin); |
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136 | *bucket_pt = NULL; |
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137 | } |
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138 | |
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139 | |
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140 | ///////////////////////////////////////////////////////////////////////////// |
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141 | // Convertion from/to Bpolys |
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142 | // |
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143 | #ifndef HAVE_PSEUDO_BUCKETS |
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144 | |
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145 | inline void kBucketMergeLm(kBucket_pt bucket) |
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146 | { |
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147 | if (bucket->buckets[0] != NULL) |
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148 | { |
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149 | poly lm = bucket->buckets[0]; |
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150 | int i = 1; |
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151 | #ifdef BUCKET_TWO_BASE |
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152 | int l = 2; |
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153 | while ( bucket->buckets_length[i] >= l) |
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154 | { |
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155 | i++; |
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156 | l = l << 1; |
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157 | } |
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158 | #else |
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159 | int l = 4; |
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160 | while ( bucket->buckets_length[i] >= l) |
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161 | { |
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162 | i++; |
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163 | l = l << 2; |
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164 | } |
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165 | #endif |
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166 | pNext(lm) = bucket->buckets[i]; |
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167 | bucket->buckets[i] = lm; |
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168 | bucket->buckets_length[i]++; |
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169 | assume(i <= bucket->buckets_used+1); |
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170 | if (i > bucket->buckets_used) bucket->buckets_used = i; |
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171 | bucket->buckets[0] = NULL; |
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172 | bucket->buckets_length[0] = 0; |
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173 | } |
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174 | } |
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175 | |
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176 | static BOOLEAN kBucketIsCleared(kBucket_pt bucket) |
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177 | { |
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178 | int i; |
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179 | |
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180 | for (i = 0;i<=MAX_BUCKET;i++) |
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181 | { |
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182 | if (bucket->buckets[i] != NULL) return FALSE; |
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183 | if (bucket->buckets_length[i] != 0) return FALSE; |
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184 | } |
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185 | return TRUE; |
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186 | } |
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187 | |
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188 | void kBucketInit(kBucket_pt bucket, poly lm, int length) |
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189 | { |
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190 | assume(bucket != NULL); |
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191 | assume(length <= 0 || length == pLength(lm)); |
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192 | assume(kBucketIsCleared(bucket)); |
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193 | |
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194 | if (lm == NULL) return; |
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195 | |
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196 | if (length <= 0) |
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197 | length = pLength(lm); |
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198 | |
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199 | bucket->buckets[0] = lm; |
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200 | bucket->buckets_length[0] = 1; |
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201 | if (length > 1) |
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202 | { |
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203 | unsigned int i = pLogLength(length-1); |
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204 | bucket->buckets[i] = pNext(lm); |
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205 | pNext(lm) = NULL; |
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206 | bucket->buckets_length[i] = length-1; |
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207 | bucket->buckets_used = i; |
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208 | } |
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209 | else |
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210 | { |
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211 | bucket->buckets_used = 0; |
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212 | } |
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213 | } |
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214 | |
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215 | int kBucketCanonicalize(kBucket_pt bucket) |
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216 | { |
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217 | poly p = bucket->buckets[1]; |
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218 | poly lm; |
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219 | int pl = bucket->buckets_length[1], i; |
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220 | bucket->buckets[1] = NULL; |
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221 | bucket->buckets_length[1] = 0; |
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222 | |
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223 | |
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224 | for (i=2; i<=bucket->buckets_used; i++) |
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225 | { |
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226 | p = p_Add_q(p, bucket->buckets[i], |
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227 | pl, bucket->buckets_length[i], bucket->bucket_ring); |
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228 | bucket->buckets[i] = NULL; |
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229 | bucket->buckets_length[i] = 0; |
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230 | } |
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231 | |
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232 | lm = bucket->buckets[0]; |
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233 | if (lm != NULL) |
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234 | { |
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235 | pNext(lm) = p; |
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236 | p = lm; |
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237 | pl++; |
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238 | bucket->buckets[0] = NULL; |
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239 | bucket->buckets_length[0] = 0; |
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240 | } |
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241 | if (pl > 0) |
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242 | { |
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243 | i = pLogLength(pl); |
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244 | bucket->buckets[i] = p; |
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245 | bucket->buckets_length[i] = pl; |
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246 | } |
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247 | else |
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248 | { |
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249 | i = 0; |
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250 | } |
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251 | bucket->buckets_used = i; |
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252 | assume(pLength(p) == (int) pl); |
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253 | return i; |
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254 | } |
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255 | |
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256 | void kBucketClear(kBucket_pt bucket, poly *p, int *length) |
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257 | { |
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258 | int i = kBucketCanonicalize(bucket); |
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259 | if (i > 0) |
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260 | { |
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261 | *p = bucket->buckets[i]; |
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262 | *length = bucket->buckets_length[i]; |
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263 | bucket->buckets[i] = NULL; |
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264 | bucket->buckets_length[i] = 0; |
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265 | bucket->buckets_used = 0; |
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266 | } |
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267 | else |
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268 | { |
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269 | *p = NULL; |
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270 | *length = 0; |
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271 | } |
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272 | } |
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273 | |
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274 | #else // HAVE_PSEUDO_BUCKETS |
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275 | |
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276 | void kBucketInit(kBucket_pt bucket, poly lm, int length) |
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277 | { |
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278 | int i; |
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279 | |
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280 | assume(bucket != NULL); |
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281 | assume(length <= 0 || length == pLength(lm)); |
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282 | |
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283 | bucket->p = lm; |
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284 | if (length <= 0) bucket->l = pLength(lm); |
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285 | else bucket->l = length; |
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286 | |
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287 | } |
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288 | |
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289 | const poly kBucketGetLm(kBucket_pt bucket) |
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290 | { |
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291 | return bucket->p; |
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292 | } |
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293 | |
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294 | poly kBucketExtractLm(kBucket_pt bucket) |
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295 | { |
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296 | poly lm = bucket->p; |
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297 | assume(pLength(bucket->p) == bucket->l); |
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298 | pIter(bucket->p); |
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299 | (bucket->l)--; |
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300 | pNext(lm) = NULL; |
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301 | return lm; |
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302 | } |
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303 | |
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304 | void kBucketClear(kBucket_pt bucket, poly *p, int *length) |
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305 | { |
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306 | assume(pLength(bucket->p) == bucket->l); |
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307 | *p = bucket->p; |
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308 | *length = bucket->l; |
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309 | bucket->p = NULL; |
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310 | bucket->l = 0; |
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311 | } |
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312 | |
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313 | #endif // ! HAVE_PSEUDO_BUCKETS |
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314 | ////////////////////////////////////////////////////////////////////////// |
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315 | /// |
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316 | /// For changing the ring of the Bpoly to new_tailBin |
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317 | /// |
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318 | void kBucketShallowCopyDelete(kBucket_pt bucket, |
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319 | ring new_tailRing, omBin new_tailBin, |
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320 | pShallowCopyDeleteProc p_shallow_copy_delete) |
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321 | { |
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322 | #ifndef HAVE_PSEUDO_BUCKETS |
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323 | int i; |
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324 | |
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325 | kBucketCanonicalize(bucket); |
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326 | for (i=0; i<= bucket->buckets_used; i++) |
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327 | if (bucket->buckets[i] != NULL) |
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328 | bucket->buckets[i] = p_shallow_copy_delete(bucket->buckets[i], |
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329 | bucket->bucket_ring, |
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330 | new_tailRing, |
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331 | new_tailBin); |
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332 | #else |
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333 | bucket->p = p_shallow_copy_delete(p, |
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334 | bucket_ring, |
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335 | new_tailRing, |
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336 | new_tailBin); |
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337 | #endif |
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338 | bucket->bucket_ring = new_tailRing; |
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339 | } |
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340 | |
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341 | |
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342 | |
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343 | ////////////////////////////////////////////////////////////////////////// |
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344 | /// |
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345 | /// Multiply Bucket by number ,i.e. Bpoly == n*Bpoly |
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346 | /// |
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347 | void kBucket_Mult_n(kBucket_pt bucket, number n) |
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348 | { |
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349 | #ifndef HAVE_PSEUDO_BUCKETS |
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350 | int i; |
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351 | |
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352 | for (i=0; i<= bucket->buckets_used; i++) |
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353 | if (bucket->buckets[i] != NULL) |
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354 | bucket->buckets[i] = p_Mult_nn(bucket->buckets[i], n, bucket->bucket_ring); |
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355 | #else |
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356 | bucket->p = p_Mult_nn(bucket->p, n, bucket->bucket_ring); |
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357 | #endif |
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358 | } |
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359 | |
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360 | ////////////////////////////////////////////////////////////////////////// |
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361 | /// |
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362 | /// Bpoly == Bpoly - m*p; where m is a monom |
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363 | /// Does not destroy p and m |
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364 | /// assume (*l <= 0 || pLength(p) == *l) |
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365 | void kBucket_Minus_m_Mult_p(kBucket_pt bucket, poly m, poly p, int *l, |
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366 | poly spNoether) |
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367 | { |
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368 | assume(*l <= 0 || pLength(p) == *l); |
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369 | int i, l1; |
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370 | poly p1 = p; |
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371 | poly last; |
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372 | ring r = bucket->bucket_ring; |
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373 | |
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374 | if (*l <= 0) |
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375 | { |
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376 | l1 = pLength(p1); |
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377 | *l = l1; |
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378 | } |
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379 | else |
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380 | l1 = *l; |
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381 | |
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382 | if (m == NULL || p == NULL) return; |
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383 | |
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384 | #ifndef HAVE_PSEUDO_BUCKETS |
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385 | kBucketMergeLm(bucket); |
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386 | kbTest(bucket); |
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387 | i = pLogLength(l1); |
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388 | |
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389 | if (i <= bucket->buckets_used && bucket->buckets[i] != NULL) |
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390 | { |
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391 | p1 = p_Minus_mm_Mult_qq(bucket->buckets[i], m, p1, |
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392 | bucket->buckets_length[i], l1, |
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393 | spNoether, r); |
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394 | l1 = bucket->buckets_length[i]; |
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395 | bucket->buckets[i] = NULL; |
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396 | bucket->buckets_length[i] = 0; |
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397 | i = pLogLength(l1); |
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398 | } |
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399 | else |
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400 | { |
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401 | pSetCoeff0(m, nNeg(pGetCoeff(m))); |
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402 | if (spNoether != NULL) |
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403 | { |
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404 | l1 = -1; |
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405 | p1 = r->p_Procs->pp_Mult_mm_Noether(p1, m, spNoether, l1, r, last); |
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406 | i = pLogLength(l1); |
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407 | } |
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408 | else |
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409 | p1 = r->p_Procs->pp_Mult_mm(p1, m, r, last); |
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410 | pSetCoeff0(m, nNeg(pGetCoeff(m))); |
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411 | } |
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412 | |
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413 | while (bucket->buckets[i] != NULL) |
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414 | { |
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415 | p1 = p_Add_q(p1, bucket->buckets[i], |
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416 | l1, bucket->buckets_length[i], r); |
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417 | bucket->buckets[i] = NULL; |
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418 | bucket->buckets_length[i] = 0; |
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419 | i = pLogLength(l1); |
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420 | } |
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421 | |
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422 | bucket->buckets[i] = p1; |
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423 | bucket->buckets_length[i]=l1; |
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424 | if (i >= bucket->buckets_used) |
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425 | bucket->buckets_used = i; |
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426 | else |
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427 | kBucketAdjustBucketsUsed(bucket); |
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428 | #else // HAVE_PSEUDO_BUCKETS |
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429 | bucket->p = p_Minus_mm_Mult_qq(bucket->p, m, p, |
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430 | bucket->l, l1, |
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431 | spNoether, r); |
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432 | #endif |
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433 | kbTest(bucket); |
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434 | } |
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435 | |
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436 | ///////////////////////////////////////////////////////////////////////////// |
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437 | // |
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438 | // Extract all monomials from bucket with component comp |
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439 | // Return as a polynomial *p with length *l |
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440 | // In other words, afterwards |
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441 | // Bpoly == Bpoly - (poly consisting of all monomials with component comp) |
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442 | // and components of monomials of *p are all 0 |
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443 | // |
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444 | |
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445 | // Hmm... for now I'm too lazy to implement those independent of currRing |
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446 | // But better declare it extern than including polys.h |
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447 | extern void pTakeOutComp(poly *p, Exponent_t comp, poly *q, int *lq); |
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448 | void pDecrOrdTakeOutComp(poly *p, Exponent_t comp, Order_t order, |
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449 | poly *q, int *lq); |
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450 | |
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451 | void kBucketTakeOutComp(kBucket_pt bucket, |
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452 | Exponent_t comp, |
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453 | poly *r_p, int *l) |
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454 | { |
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455 | poly p = NULL, q; |
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456 | int i, lp = 0, lq; |
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457 | |
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458 | #ifndef HAVE_PSEUDO_BUCKETS |
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459 | kBucketMergeLm(bucket); |
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460 | for (i=1; i<=bucket->buckets_used; i++) |
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461 | { |
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462 | if (bucket->buckets[i] != NULL) |
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463 | { |
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464 | pTakeOutComp(&(bucket->buckets[i]), comp, &q, &lq); |
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465 | if (q != NULL) |
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466 | { |
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467 | assume(pLength(q) == lq); |
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468 | bucket->buckets_length[i] -= lq; |
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469 | assume(pLength(bucket->buckets[i]) == bucket->buckets_length[i]); |
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470 | p = p_Add_q(p, q, lp, lq, bucket->bucket_ring); |
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471 | } |
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472 | } |
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473 | } |
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474 | kBucketAdjustBucketsUsed(bucket); |
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475 | #else |
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476 | pTakeOutComp(&(bucket->p), comp, &p, &lp); |
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477 | (bucket->l) -= lp; |
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478 | #endif |
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479 | *r_p = p; |
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480 | *l = lp; |
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481 | |
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482 | kbTest(bucket); |
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483 | } |
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484 | |
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485 | void kBucketDecrOrdTakeOutComp(kBucket_pt bucket, |
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486 | Exponent_t comp, Order_t order, |
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487 | poly *r_p, int *l) |
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488 | { |
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489 | poly p = NULL, q; |
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490 | int i, lp = 0, lq; |
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491 | |
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492 | #ifndef HAVE_PSEUDO_BUCKETS |
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493 | kBucketMergeLm(bucket); |
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494 | for (i=1; i<=bucket->buckets_used; i++) |
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495 | { |
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496 | if (bucket->buckets[i] != NULL) |
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497 | { |
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498 | pDecrOrdTakeOutComp(&(bucket->buckets[i]), comp, order, &q, &lq); |
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499 | if (q != NULL) |
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500 | { |
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501 | bucket->buckets_length[i] -= lq; |
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502 | p = p_Add_q(p, q, lp, lq, bucket->bucket_ring); |
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503 | } |
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504 | } |
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505 | } |
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506 | kBucketAdjustBucketsUsed(bucket); |
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507 | #else |
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508 | pDecrOrdTakeOutComp(&(bucket->p), comp, order, &p, &lp); |
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509 | (bucket->l) -= lp; |
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510 | #endif |
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511 | |
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512 | *r_p = p; |
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513 | *l = lp; |
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514 | } |
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515 | |
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516 | ///////////////////////////////////////////////////////////////////////////// |
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517 | // Reduction of Bpoly with a given poly |
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518 | // |
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519 | |
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520 | extern int ksCheckCoeff(number *a, number *b); |
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521 | |
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522 | number kBucketPolyRed(kBucket_pt bucket, |
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523 | poly p1, int l1, |
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524 | poly spNoether) |
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525 | { |
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526 | assume(p1 != NULL && |
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527 | p_DivisibleBy(p1, kBucketGetLm(bucket), bucket->bucket_ring)); |
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528 | assume(pLength(p1) == (int) l1); |
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529 | |
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530 | poly a1 = pNext(p1), lm = kBucketExtractLm(bucket); |
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531 | BOOLEAN reset_vec=FALSE; |
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532 | number rn; |
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533 | |
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534 | if(a1==NULL) |
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535 | { |
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536 | p_DeleteLm(&lm, bucket->bucket_ring); |
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537 | return nInit(1); |
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538 | } |
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539 | |
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540 | if (! nIsOne(pGetCoeff(p1))) |
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541 | { |
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542 | number an = pGetCoeff(p1), bn = pGetCoeff(lm); |
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543 | int ct = ksCheckCoeff(&an, &bn); |
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544 | p_SetCoeff(lm, bn, bucket->bucket_ring); |
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545 | if ((ct == 0) || (ct == 2)) kBucket_Mult_n(bucket, an); |
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546 | rn = an; |
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547 | } |
---|
548 | else |
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549 | { |
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550 | rn = nInit(1); |
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551 | } |
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552 | |
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553 | if (p_GetComp(p1, bucket->bucket_ring) != p_GetComp(lm, bucket->bucket_ring)) |
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554 | { |
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555 | p_SetCompP(a1, p_GetComp(lm, bucket->bucket_ring), bucket->bucket_ring); |
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556 | reset_vec = TRUE; |
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557 | p_SetComp(lm, p_GetComp(p1, bucket->bucket_ring), bucket->bucket_ring); |
---|
558 | p_Setm(lm, bucket->bucket_ring); |
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559 | } |
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560 | |
---|
561 | p_ExpVectorSub(lm,p1, bucket->bucket_ring); |
---|
562 | l1--; |
---|
563 | |
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564 | kBucket_Minus_m_Mult_p(bucket, lm, a1, &l1, spNoether); |
---|
565 | |
---|
566 | p_DeleteLm(&lm, bucket->bucket_ring); |
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567 | if (reset_vec) p_SetCompP(a1, 0, bucket->bucket_ring); |
---|
568 | kbTest(bucket); |
---|
569 | return rn; |
---|
570 | } |
---|
571 | |
---|
572 | |
---|