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5 | #include <kernel/mod2.h> |
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6 | |
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7 | #include <omalloc/omalloc.h> |
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8 | |
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9 | #include <misc/intvec.h> |
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10 | #include <misc/options.h> |
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11 | |
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12 | #include <coeffs/coeffs.h> |
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13 | |
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14 | #include <polys/PolyEnumerator.h> |
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15 | |
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16 | #include <polys/monomials/p_polys.h> |
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17 | #include <polys/monomials/ring.h> |
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18 | // #include <kernel/longrat.h> |
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19 | #include <kernel/GBEngine/kstd1.h> |
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20 | |
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21 | #include <kernel/polys.h> |
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22 | |
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23 | #include <kernel/GBEngine/syz.h> |
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24 | |
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25 | #include <Singular/tok.h> |
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26 | #include <Singular/ipid.h> |
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27 | #include <Singular/lists.h> |
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28 | #include <Singular/attrib.h> |
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29 | |
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30 | #include <Singular/ipid.h> |
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31 | #include <Singular/ipshell.h> // For iiAddCproc |
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32 | |
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33 | // extern coeffs coeffs_BIGINT |
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34 | |
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35 | #include "singularxx_defs.h" |
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36 | #include "DebugPrint.h" |
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37 | #include "myNF.h" |
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38 | |
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39 | |
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40 | #include <Singular/mod_lib.h> |
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41 | |
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42 | |
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43 | #if GOOGLE_PROFILE_ENABLED |
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44 | #include <google/profiler.h> |
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45 | #endif // #if GOOGLE_PROFILE_ENABLED |
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46 | |
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47 | |
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48 | #include <stdio.h> |
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49 | #include <stdlib.h> |
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50 | #include <string.h> |
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51 | |
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52 | |
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53 | #ifdef _GNU_SOURCE |
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54 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp, r) |
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55 | #else |
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56 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp) |
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57 | #endif |
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58 | |
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59 | |
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60 | |
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61 | extern void pISUpdateComponents(ideal F, const intvec *const V, const int MIN, const ring r); |
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62 | // extern ring rCurrRingAssure_SyzComp(); |
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63 | extern ring rAssure_InducedSchreyerOrdering(const ring r, BOOLEAN complete, int sign); |
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64 | extern int rGetISPos(const int p, const ring r); |
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65 | |
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66 | USING_NAMESPACE( SINGULARXXNAME :: DEBUG ) |
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67 | USING_NAMESPACE( SINGULARXXNAME :: NF ) |
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68 | |
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69 | |
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70 | BEGIN_NAMESPACE_NONAME |
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71 | |
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72 | |
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73 | static inline void NoReturn(leftv& res) |
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74 | { |
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75 | res->rtyp = NONE; |
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76 | res->data = NULL; |
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77 | } |
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78 | |
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79 | /// wrapper around n_ClearContent |
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80 | static BOOLEAN _ClearContent(leftv res, leftv h) |
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81 | { |
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82 | NoReturn(res); |
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83 | |
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84 | const char *usage = "'ClearContent' needs a (non-zero!) poly or vector argument..."; |
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85 | |
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86 | if( h == NULL ) |
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87 | { |
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88 | WarnS(usage); |
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89 | return TRUE; |
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90 | } |
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91 | |
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92 | assume( h != NULL ); |
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93 | |
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94 | if( !( h->Typ() == POLY_CMD || h->Typ() == VECTOR_CMD) ) |
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95 | { |
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96 | WarnS(usage); |
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97 | return TRUE; |
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98 | } |
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99 | |
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100 | assume (h->Next() == NULL); |
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101 | |
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102 | poly ph = reinterpret_cast<poly>(h->Data()); |
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103 | |
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104 | if( ph == NULL ) |
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105 | { |
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106 | WarnS(usage); |
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107 | return TRUE; |
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108 | } |
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109 | |
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110 | const ring r = currRing; |
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111 | assume( r != NULL ); assume( r->cf != NULL ); const coeffs C = r->cf; |
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112 | |
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113 | number n; |
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114 | |
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115 | // experimentall (recursive enumerator treatment) of alg. ext |
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116 | CPolyCoeffsEnumerator itr(ph); |
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117 | n_ClearContent(itr, n, C); |
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118 | |
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119 | res->data = n; |
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120 | res->rtyp = NUMBER_CMD; |
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121 | |
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122 | return FALSE; |
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123 | } |
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124 | |
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125 | /// wrapper around n_ClearDenominators |
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126 | static BOOLEAN _ClearDenominators(leftv res, leftv h) |
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127 | { |
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128 | NoReturn(res); |
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129 | |
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130 | const char *usage = "'ClearDenominators' needs a (non-zero!) poly or vector argument..."; |
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131 | |
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132 | if( h == NULL ) |
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133 | { |
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134 | WarnS(usage); |
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135 | return TRUE; |
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136 | } |
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137 | |
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138 | assume( h != NULL ); |
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139 | |
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140 | if( !( h->Typ() == POLY_CMD || h->Typ() == VECTOR_CMD) ) |
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141 | { |
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142 | WarnS(usage); |
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143 | return TRUE; |
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144 | } |
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145 | |
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146 | assume (h->Next() == NULL); |
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147 | |
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148 | poly ph = reinterpret_cast<poly>(h->Data()); |
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149 | |
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150 | if( ph == NULL ) |
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151 | { |
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152 | WarnS(usage); |
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153 | return TRUE; |
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154 | } |
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155 | |
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156 | const ring r = currRing; |
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157 | assume( r != NULL ); assume( r->cf != NULL ); const coeffs C = r->cf; |
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158 | |
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159 | number n; |
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160 | |
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161 | // experimentall (recursive enumerator treatment) of alg. ext. |
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162 | CPolyCoeffsEnumerator itr(ph); |
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163 | n_ClearDenominators(itr, n, C); |
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164 | |
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165 | res->data = n; |
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166 | res->rtyp = NUMBER_CMD; |
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167 | |
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168 | return FALSE; |
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169 | } |
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170 | |
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171 | |
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172 | /// try to get an optional (simple) integer argument out of h |
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173 | /// or return the default value |
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174 | static int getOptionalInteger(const leftv& h, const int _n) |
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175 | { |
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176 | if( h!= NULL && h->Typ() == INT_CMD ) |
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177 | { |
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178 | int n = (int)(long)(h->Data()); |
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179 | |
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180 | if( n < 0 ) |
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181 | Warn("Negative (%d) optional integer argument", n); |
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182 | |
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183 | return (n); |
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184 | } |
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185 | |
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186 | return (_n); |
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187 | } |
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188 | |
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189 | static BOOLEAN noop(leftv __res, leftv /*__v*/) |
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190 | { |
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191 | NoReturn(__res); |
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192 | return FALSE; |
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193 | } |
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194 | |
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195 | static BOOLEAN _ProfilerStart(leftv __res, leftv h) |
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196 | { |
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197 | NoReturn(__res); |
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198 | #if GOOGLE_PROFILE_ENABLED |
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199 | if( h!= NULL && h->Typ() == STRING_CMD ) |
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200 | { |
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201 | const char* name = (char*)(h->Data()); |
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202 | assume( name != NULL ); |
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203 | ProfilerStart(name); |
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204 | } else |
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205 | WerrorS("ProfilerStart requires a string [name] argument"); |
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206 | #else |
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207 | WarnS("Sorry no google profiler support (GOOGLE_PROFILE_ENABLE!=1)..."); |
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208 | // return TRUE; // ? |
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209 | #endif // #if GOOGLE_PROFILE_ENABLED |
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210 | return FALSE; |
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211 | (void)h; |
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212 | } |
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213 | static BOOLEAN _ProfilerStop(leftv __res, leftv /*__v*/) |
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214 | { |
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215 | NoReturn(__res); |
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216 | #if GOOGLE_PROFILE_ENABLED |
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217 | ProfilerStop(); |
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218 | #else |
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219 | WarnS("Sorry no google profiler support (GOOGLE_PROFILE_ENABLED!=1)..."); |
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220 | // return TRUE; // ? |
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221 | #endif // #if GOOGLE_PROFILE_ENABLED |
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222 | return FALSE; |
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223 | } |
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224 | |
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225 | static inline number jjLONG2N(long d) |
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226 | { |
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227 | return n_Init(d, coeffs_BIGINT); |
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228 | } |
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229 | |
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230 | static inline void view(const intvec* v) |
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231 | { |
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232 | #ifndef SING_NDEBUG |
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233 | v->view(); |
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234 | #else |
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235 | // This code duplication is only due to Hannes's #ifndef SING_NDEBUG! |
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236 | Print ("intvec: {rows: %d, cols: %d, length: %d, Values: \n", v->rows(), v->cols(), v->length()); |
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237 | |
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238 | for (int i = 0; i < v->rows(); i++) |
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239 | { |
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240 | Print ("Row[%3d]:", i); |
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241 | for (int j = 0; j < v->cols(); j++) |
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242 | Print (" %5d", (*v)[j + i * (v->cols())] ); |
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243 | PrintLn (); |
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244 | } |
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245 | PrintS ("}\n"); |
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246 | #endif |
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247 | |
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248 | } |
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249 | |
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250 | |
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251 | |
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252 | static BOOLEAN DetailedPrint(leftv __res, leftv h) |
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253 | { |
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254 | NoReturn(__res); |
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255 | |
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256 | if( h == NULL ) |
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257 | { |
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258 | WarnS("DetailedPrint needs an argument..."); |
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259 | return TRUE; |
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260 | } |
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261 | |
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262 | if( h->Typ() == NUMBER_CMD) |
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263 | { |
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264 | number n = (number)h->Data(); |
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265 | |
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266 | const ring r = currRing; |
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267 | |
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268 | #ifdef LDEBUG |
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269 | r->cf->cfDBTest(n,__FILE__,__LINE__,r->cf); |
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270 | #endif |
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271 | |
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272 | StringSetS(""); |
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273 | n_Write(n, r->cf); |
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274 | PrintS(StringEndS()); |
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275 | PrintLn(); |
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276 | |
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277 | return FALSE; |
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278 | } |
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279 | |
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280 | if( h->Typ() == RING_CMD) |
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281 | { |
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282 | const ring r = (const ring)h->Data(); |
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283 | rWrite(r, TRUE); |
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284 | PrintLn(); |
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285 | #ifdef RDEBUG |
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286 | rDebugPrint(r); |
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287 | #endif |
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288 | return FALSE; |
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289 | } |
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290 | |
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291 | if( h->Typ() == POLY_CMD || h->Typ() == VECTOR_CMD) |
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292 | { |
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293 | const poly p = (const poly)h->Data(); h = h->Next(); |
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294 | |
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295 | dPrint(p, currRing, currRing, getOptionalInteger(h, 3)); |
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296 | |
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297 | return FALSE; |
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298 | } |
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299 | |
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300 | if( h->Typ() == IDEAL_CMD || h->Typ() == MODUL_CMD) |
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301 | { |
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302 | const ideal id = (const ideal)h->Data(); h = h->Next(); |
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303 | |
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304 | dPrint(id, currRing, currRing, getOptionalInteger(h, 3)); |
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305 | |
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306 | return FALSE; |
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307 | } |
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308 | |
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309 | if( h->Typ() == RESOLUTION_CMD ) |
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310 | { |
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311 | const syStrategy syzstr = reinterpret_cast<const syStrategy>(h->Data()); |
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312 | |
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313 | h = h->Next(); |
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314 | |
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315 | int nTerms = getOptionalInteger(h, 1); |
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316 | |
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317 | |
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318 | Print("RESOLUTION_CMD(%p): ", reinterpret_cast<const void*>(syzstr)); PrintLn(); |
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319 | |
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320 | const ring save = currRing; |
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321 | const ring r = syzstr->syRing; |
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322 | const ring rr = (r != NULL) ? r: save; |
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323 | |
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324 | |
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325 | const int iLength = syzstr->length; |
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326 | |
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327 | Print("int 'length': %d", iLength); PrintLn(); |
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328 | Print("int 'regularity': %d", syzstr->regularity); PrintLn(); |
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329 | Print("short 'list_length': %hd", syzstr->list_length); PrintLn(); |
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330 | Print("short 'references': %hd", syzstr->references); PrintLn(); |
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331 | |
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332 | |
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333 | #define PRINT_pINTVECTOR(s, v) Print("intvec '%10s'(%p)", #v, reinterpret_cast<const void*>((s)->v)); \ |
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334 | if( (s)->v != NULL ){ PrintS(": "); view((s)->v); }; \ |
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335 | PrintLn(); |
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336 | |
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337 | PRINT_pINTVECTOR(syzstr, resolution); |
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338 | PRINT_pINTVECTOR(syzstr, betti); |
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339 | PRINT_pINTVECTOR(syzstr, Tl); |
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340 | PRINT_pINTVECTOR(syzstr, cw); |
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341 | #undef PRINT_pINTVECTOR |
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342 | |
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343 | if (r == NULL) |
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344 | Print("ring '%10s': NULL", "syRing"); |
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345 | else |
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346 | if (r == currRing) |
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347 | Print("ring '%10s': currRing", "syRing"); |
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348 | else |
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349 | if (r != NULL && r != save) |
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350 | { |
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351 | Print("ring '%10s': ", "syRing"); |
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352 | rWrite(r); |
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353 | #ifdef RDEBUG |
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354 | // rDebugPrint(r); |
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355 | #endif |
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356 | // rChangeCurrRing(r); |
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357 | } |
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358 | PrintLn(); |
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359 | |
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360 | const SRes rP = syzstr->resPairs; |
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361 | Print("SRes 'resPairs': %p", reinterpret_cast<const void*>(rP)); PrintLn(); |
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362 | |
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363 | if (rP != NULL) |
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364 | for (int iLevel = 0; (iLevel < iLength) && (rP[iLevel] != NULL) && ((*syzstr->Tl)[iLevel] >= 0); iLevel++) |
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365 | { |
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366 | int n = 0; |
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367 | const int iTl = (*syzstr->Tl)[iLevel]; |
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368 | for (int j = 0; (j < iTl) && ((rP[iLevel][j].lcm!=NULL) || (rP[iLevel][j].syz!=NULL)); j++) |
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369 | { |
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370 | if (rP[iLevel][j].isNotMinimal==NULL) |
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371 | n++; |
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372 | } |
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373 | Print("minimal-resPairs-Size[1+%d]: %d", iLevel, n); PrintLn(); |
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374 | } |
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375 | |
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376 | |
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377 | // const ring rrr = (iLevel > 0) ? rr : save; ? |
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378 | #define PRINT_RESOLUTION(s, v) Print("resolution '%12s': %p", #v, reinterpret_cast<const void*>((s)->v)); PrintLn(); \ |
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379 | if ((s)->v != NULL) \ |
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380 | for (int iLevel = 0; (iLevel < iLength) && ( ((s)->v)[iLevel] != NULL ); iLevel++) \ |
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381 | { \ |
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382 | /* const ring rrr = (iLevel > 0) ? save : save; */ \ |
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383 | Print("id '%10s'[%d]: (%p) ncols = %d / size: %d; nrows = %d, rank = %ld / rk: %ld", #v, iLevel, reinterpret_cast<const void*>(((s)->v)[iLevel]), ((s)->v)[iLevel]->ncols, idSize(((s)->v)[iLevel]), ((s)->v)[iLevel]->nrows, ((s)->v)[iLevel]->rank, -1L/*id_RankFreeModule(((s)->v)[iLevel], rrr)*/ ); \ |
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384 | PrintLn(); \ |
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385 | } \ |
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386 | PrintLn(); |
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387 | |
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388 | // resolvente: |
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389 | PRINT_RESOLUTION(syzstr, minres); |
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390 | PRINT_RESOLUTION(syzstr, fullres); |
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391 | |
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392 | assume (id_RankFreeModule (syzstr->res[1], rr) == syzstr->res[1]->rank); |
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393 | |
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394 | PRINT_RESOLUTION(syzstr, res); |
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395 | PRINT_RESOLUTION(syzstr, orderedRes); |
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396 | #undef PRINT_RESOLUTION |
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397 | |
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398 | #define PRINT_POINTER(s, v) Print("pointer '%17s': %p", #v, reinterpret_cast<const void*>((s)->v)); PrintLn(); |
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399 | // 2d arrays: |
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400 | PRINT_POINTER(syzstr, truecomponents); |
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401 | PRINT_POINTER(syzstr, ShiftedComponents); |
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402 | PRINT_POINTER(syzstr, backcomponents); |
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403 | PRINT_POINTER(syzstr, Howmuch); |
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404 | PRINT_POINTER(syzstr, Firstelem); |
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405 | PRINT_POINTER(syzstr, elemLength); |
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406 | PRINT_POINTER(syzstr, sev); |
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407 | |
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408 | // arrays of intvects: |
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409 | PRINT_POINTER(syzstr, weights); |
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410 | PRINT_POINTER(syzstr, hilb_coeffs); |
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411 | #undef PRINT_POINTER |
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412 | |
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413 | |
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414 | if (syzstr->fullres==NULL) |
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415 | { |
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416 | PrintS("resolution 'fullres': (NULL) => resolution not computed yet"); |
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417 | PrintLn(); |
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418 | } else |
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419 | { |
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420 | Print("resolution 'fullres': (%p) => resolution seems to be computed already", reinterpret_cast<const void*>(syzstr->fullres)); |
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421 | PrintLn(); |
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422 | dPrint(*syzstr->fullres, save, save, nTerms); |
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423 | } |
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424 | |
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425 | |
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426 | |
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427 | |
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428 | if (syzstr->minres==NULL) |
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429 | { |
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430 | PrintS("resolution 'minres': (NULL) => resolution not minimized yet"); |
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431 | PrintLn(); |
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432 | } else |
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433 | { |
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434 | Print("resolution 'minres': (%p) => resolution seems to be minimized already", reinterpret_cast<const void*>(syzstr->minres)); |
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435 | PrintLn(); |
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436 | dPrint(*syzstr->minres, save, save, nTerms); |
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437 | } |
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438 | |
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439 | |
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440 | |
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441 | |
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442 | /* |
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443 | int ** truecomponents; |
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444 | long** ShiftedComponents; |
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445 | int ** backcomponents; |
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446 | int ** Howmuch; |
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447 | int ** Firstelem; |
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448 | int ** elemLength; |
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449 | unsigned long ** sev; |
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450 | |
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451 | intvec ** weights; |
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452 | intvec ** hilb_coeffs; |
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453 | |
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454 | SRes resPairs; //polynomial data for internal use only |
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455 | |
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456 | resolvente fullres; |
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457 | resolvente minres; |
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458 | resolvente res; //polynomial data for internal use only |
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459 | resolvente orderedRes; //polynomial data for internal use only |
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460 | */ |
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461 | |
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462 | // if( currRing != save ) rChangeCurrRing(save); |
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463 | } |
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464 | |
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465 | |
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466 | return FALSE; |
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467 | } |
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468 | |
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469 | |
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470 | |
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471 | |
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472 | |
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473 | |
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474 | static BOOLEAN Tail(leftv res, leftv h) |
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475 | { |
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476 | NoReturn(res); |
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477 | |
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478 | if( h == NULL ) |
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479 | { |
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480 | WarnS("Tail needs an argument..."); |
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481 | return TRUE; |
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482 | } |
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483 | |
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484 | assume( h != NULL ); |
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485 | |
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486 | if( h->Typ() == POLY_CMD || h->Typ() == VECTOR_CMD) |
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487 | { |
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488 | const poly p = (const poly)h->Data(); |
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489 | |
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490 | res->rtyp = h->Typ(); |
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491 | |
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492 | if( p == NULL) |
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493 | res->data = NULL; |
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494 | else |
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495 | res->data = p_Copy( pNext(p), currRing ); |
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496 | |
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497 | h = h->Next(); assume (h == NULL); |
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498 | |
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499 | return FALSE; |
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500 | } |
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501 | |
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502 | if( h->Typ() == IDEAL_CMD || h->Typ() == MODUL_CMD) |
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503 | { |
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504 | const ideal id = (const ideal)h->Data(); |
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505 | |
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506 | res->rtyp = h->Typ(); |
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507 | |
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508 | if( id == NULL) |
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509 | res->data = NULL; |
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510 | else |
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511 | { |
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512 | const ideal newid = idInit(IDELEMS(id),id->rank); |
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513 | for (int i=IDELEMS(id) - 1; i >= 0; i--) |
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514 | if( id->m[i] != NULL ) |
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515 | newid->m[i] = p_Copy(pNext(id->m[i]), currRing); |
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516 | else |
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517 | newid->m[i] = NULL; |
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518 | |
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519 | res->data = newid; |
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520 | } |
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521 | |
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522 | h = h->Next(); assume (h == NULL); |
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523 | |
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524 | return FALSE; |
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525 | } |
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526 | |
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527 | WarnS("Tail needs a single poly/vector/ideal/module argument..."); |
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528 | return TRUE; |
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529 | } |
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530 | |
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531 | |
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532 | #ifdef _GNU_SOURCE |
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533 | static int cmp_c_ds(const void *p1, const void *p2, void *R) |
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534 | { |
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535 | #else |
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536 | static int cmp_c_ds(const void *p1, const void *p2) |
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537 | { |
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538 | void *R = currRing; |
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539 | #endif |
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540 | |
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541 | const int YES = 1; |
---|
542 | const int NO = -1; |
---|
543 | |
---|
544 | const ring r = (const ring) R; // TODO/NOTE: the structure is known: C, lp!!! |
---|
545 | |
---|
546 | assume( r == currRing ); |
---|
547 | |
---|
548 | const poly a = *(const poly*)p1; |
---|
549 | const poly b = *(const poly*)p2; |
---|
550 | |
---|
551 | assume( a != NULL ); |
---|
552 | assume( b != NULL ); |
---|
553 | |
---|
554 | assume( p_LmTest(a, r) ); |
---|
555 | assume( p_LmTest(b, r) ); |
---|
556 | |
---|
557 | |
---|
558 | const signed long iCompDiff = p_GetComp(a, r) - p_GetComp(b, r); |
---|
559 | |
---|
560 | // TODO: test this!!!!!!!!!!!!!!!! |
---|
561 | |
---|
562 | //return -( compare (c, qsorts) ) |
---|
563 | |
---|
564 | const int __DEBUG__ = 0; |
---|
565 | |
---|
566 | #ifndef NDEBUG |
---|
567 | if( __DEBUG__ ) |
---|
568 | { |
---|
569 | PrintS("cmp_c_ds: a, b: \np1: "); dPrint(a, r, r, 2); |
---|
570 | PrintS("b: "); dPrint(b, r, r, 2); |
---|
571 | PrintLn(); |
---|
572 | } |
---|
573 | #endif |
---|
574 | |
---|
575 | |
---|
576 | if( iCompDiff > 0 ) |
---|
577 | return YES; |
---|
578 | |
---|
579 | if( iCompDiff < 0 ) |
---|
580 | return NO; |
---|
581 | |
---|
582 | assume( iCompDiff == 0 ); |
---|
583 | |
---|
584 | const signed long iDegDiff = p_Totaldegree(a, r) - p_Totaldegree(b, r); |
---|
585 | |
---|
586 | if( iDegDiff > 0 ) |
---|
587 | return YES; |
---|
588 | |
---|
589 | if( iDegDiff < 0 ) |
---|
590 | return NO; |
---|
591 | |
---|
592 | assume( iDegDiff == 0 ); |
---|
593 | |
---|
594 | #ifndef NDEBUG |
---|
595 | if( __DEBUG__ ) |
---|
596 | { |
---|
597 | PrintS("cmp_c_ds: a & b have the same comp & deg! "); PrintLn(); |
---|
598 | } |
---|
599 | #endif |
---|
600 | |
---|
601 | for (int v = rVar(r); v > 0; v--) |
---|
602 | { |
---|
603 | assume( v > 0 ); |
---|
604 | assume( v <= rVar(r) ); |
---|
605 | |
---|
606 | const signed int d = p_GetExp(a, v, r) - p_GetExp(b, v, r); |
---|
607 | |
---|
608 | if( d > 0 ) |
---|
609 | return YES; |
---|
610 | |
---|
611 | if( d < 0 ) |
---|
612 | return NO; |
---|
613 | |
---|
614 | assume( d == 0 ); |
---|
615 | } |
---|
616 | |
---|
617 | return 0; |
---|
618 | } |
---|
619 | |
---|
620 | |
---|
621 | |
---|
622 | static ideal ComputeLeadingSyzygyTerms(const ideal& id, const ring r) |
---|
623 | { |
---|
624 | // 1. set of components S? |
---|
625 | // 2. for each component c from S: set of indices of leading terms |
---|
626 | // with this component? |
---|
627 | // 3. short exp. vectors for each leading term? |
---|
628 | |
---|
629 | const int size = IDELEMS(id); |
---|
630 | |
---|
631 | if( size < 2 ) |
---|
632 | { |
---|
633 | const ideal newid = idInit(1, 0); newid->m[0] = NULL; // zero ideal... |
---|
634 | return newid; |
---|
635 | } |
---|
636 | |
---|
637 | |
---|
638 | // TODO/NOTE: input is supposed to be (reverse-) sorted wrt "(c,ds)"!?? |
---|
639 | |
---|
640 | // components should come in groups: count elements in each group |
---|
641 | // && estimate the real size!!! |
---|
642 | |
---|
643 | |
---|
644 | // use just a vector instead??? |
---|
645 | const ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
---|
646 | |
---|
647 | int k = 0; |
---|
648 | |
---|
649 | for (int j = 0; j < size; j++) |
---|
650 | { |
---|
651 | const poly p = id->m[j]; |
---|
652 | assume( p != NULL ); |
---|
653 | const int c = p_GetComp(p, r); |
---|
654 | |
---|
655 | for (int i = j - 1; i >= 0; i--) |
---|
656 | { |
---|
657 | const poly pp = id->m[i]; |
---|
658 | assume( pp != NULL ); |
---|
659 | const int cc = p_GetComp(pp, r); |
---|
660 | |
---|
661 | if( c != cc ) |
---|
662 | continue; |
---|
663 | |
---|
664 | const poly m = p_Init(r); // p_New??? |
---|
665 | |
---|
666 | // m = LCM(p, pp) / p! // TODO: optimize: knowing the ring structure: (C/lp)! |
---|
667 | for (int v = rVar(r); v > 0; v--) |
---|
668 | { |
---|
669 | assume( v > 0 ); |
---|
670 | assume( v <= rVar(r) ); |
---|
671 | |
---|
672 | const short e1 = p_GetExp(p , v, r); |
---|
673 | const short e2 = p_GetExp(pp, v, r); |
---|
674 | |
---|
675 | if( e1 >= e2 ) |
---|
676 | p_SetExp(m, v, 0, r); |
---|
677 | else |
---|
678 | p_SetExp(m, v, e2 - e1, r); |
---|
679 | |
---|
680 | } |
---|
681 | |
---|
682 | assume( (j > i) && (i >= 0) ); |
---|
683 | |
---|
684 | p_SetComp(m, j + 1, r); |
---|
685 | pNext(m) = NULL; |
---|
686 | p_SetCoeff0(m, n_Init(1, r->cf), r); // for later... |
---|
687 | |
---|
688 | p_Setm(m, r); // should not do anything!!! |
---|
689 | |
---|
690 | newid->m[k++] = m; |
---|
691 | } |
---|
692 | } |
---|
693 | |
---|
694 | // if( __DEBUG__ && FALSE ) |
---|
695 | // { |
---|
696 | // PrintS("ComputeLeadingSyzygyTerms::Temp0: \n"); |
---|
697 | // dPrint(newid, r, r, 1); |
---|
698 | // } |
---|
699 | |
---|
700 | // the rest of newid is assumed to be zeroes... |
---|
701 | |
---|
702 | // simplify(newid, 2 + 32)?? |
---|
703 | // sort(newid, "C,ds")[1]??? |
---|
704 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
705 | |
---|
706 | // if( __DEBUG__ && FALSE ) |
---|
707 | // { |
---|
708 | // PrintS("ComputeLeadingSyzygyTerms::Temp1: \n"); |
---|
709 | // dPrint(newid, r, r, 1); |
---|
710 | // } |
---|
711 | |
---|
712 | idSkipZeroes(newid); // #define SIMPL_NULL 2 |
---|
713 | |
---|
714 | // if( __DEBUG__ ) |
---|
715 | // { |
---|
716 | // PrintS("ComputeLeadingSyzygyTerms::Output: \n"); |
---|
717 | // dPrint(newid, r, r, 1); |
---|
718 | // } |
---|
719 | |
---|
720 | const int sizeNew = IDELEMS(newid); |
---|
721 | |
---|
722 | if( sizeNew >= 2 ) |
---|
723 | qsort_my(newid->m, sizeNew, sizeof(poly), r, cmp_c_ds); |
---|
724 | |
---|
725 | newid->rank = id_RankFreeModule(newid, r); |
---|
726 | |
---|
727 | return newid; |
---|
728 | } |
---|
729 | |
---|
730 | |
---|
731 | static BOOLEAN ComputeLeadingSyzygyTerms(leftv res, leftv h) |
---|
732 | { |
---|
733 | const ring r = currRing; |
---|
734 | NoReturn(res); |
---|
735 | |
---|
736 | if( h == NULL ) |
---|
737 | { |
---|
738 | WarnS("ComputeLeadingSyzygyTerms needs an argument..."); |
---|
739 | return TRUE; |
---|
740 | } |
---|
741 | |
---|
742 | assume( h != NULL ); |
---|
743 | |
---|
744 | #ifndef NDEBUG |
---|
745 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
746 | #else |
---|
747 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
748 | #endif |
---|
749 | |
---|
750 | if( h->Typ() == IDEAL_CMD || h->Typ() == MODUL_CMD) |
---|
751 | { |
---|
752 | const ideal id = (const ideal)h->Data(); |
---|
753 | |
---|
754 | assume(id != NULL); |
---|
755 | |
---|
756 | if( __DEBUG__ ) |
---|
757 | { |
---|
758 | PrintS("ComputeLeadingSyzygyTerms::Input: \n"); |
---|
759 | |
---|
760 | const BOOLEAN __LEAD2SYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"LEAD2SYZ",INT_CMD, (void*)0))); |
---|
761 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
762 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)0))); |
---|
763 | |
---|
764 | |
---|
765 | Print("\nSYZCHECK: \t%d", __SYZCHECK__); |
---|
766 | Print(", DEBUG: \t%d", __DEBUG__); |
---|
767 | Print(", LEAD2SYZ: \t%d", __LEAD2SYZ__); |
---|
768 | Print(", TAILREDSYZ: \t%d\n", __TAILREDSYZ__); |
---|
769 | |
---|
770 | dPrint(id, r, r, 1); |
---|
771 | |
---|
772 | assume( !__LEAD2SYZ__ ); |
---|
773 | } |
---|
774 | |
---|
775 | h = h->Next(); assume (h == NULL); |
---|
776 | |
---|
777 | const ideal newid = ComputeLeadingSyzygyTerms(id, r); |
---|
778 | |
---|
779 | res->data = newid; res->rtyp = MODUL_CMD; |
---|
780 | return FALSE; |
---|
781 | } |
---|
782 | |
---|
783 | WarnS("ComputeLeadingSyzygyTerms needs a single ideal/module argument..."); |
---|
784 | return TRUE; |
---|
785 | } |
---|
786 | |
---|
787 | /// sorting wrt <c,ds> & reversing... |
---|
788 | /// change the input inplace!!! |
---|
789 | // TODO: use a ring with >_{c, ds}!??? |
---|
790 | static BOOLEAN Sort_c_ds(leftv res, leftv h) |
---|
791 | { |
---|
792 | NoReturn(res); |
---|
793 | |
---|
794 | const ring r = currRing; |
---|
795 | NoReturn(res); |
---|
796 | |
---|
797 | if( h == NULL ) |
---|
798 | { |
---|
799 | WarnS("Sort_c_ds needs an argument..."); |
---|
800 | return TRUE; |
---|
801 | } |
---|
802 | |
---|
803 | assume( h != NULL ); |
---|
804 | |
---|
805 | #ifndef NDEBUG |
---|
806 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
807 | #else |
---|
808 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
809 | #endif |
---|
810 | |
---|
811 | if( (h->Typ() == IDEAL_CMD || h->Typ() == MODUL_CMD) |
---|
812 | && (h->rtyp == IDHDL) // must be a variable! |
---|
813 | && (h->e == NULL) // not a list element |
---|
814 | ) |
---|
815 | { |
---|
816 | const ideal id = (const ideal)h->Data(); |
---|
817 | |
---|
818 | assume(id != NULL); |
---|
819 | |
---|
820 | if( __DEBUG__ ) |
---|
821 | { |
---|
822 | PrintS("Sort_c_ds::Input: \n"); |
---|
823 | |
---|
824 | const BOOLEAN __LEAD2SYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"LEAD2SYZ",INT_CMD, (void*)0))); |
---|
825 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
826 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)0))); |
---|
827 | |
---|
828 | Print("\nSYZCHECK: \t%d", __SYZCHECK__); |
---|
829 | Print(", DEBUG: \t%d", __DEBUG__); |
---|
830 | Print(", LEAD2SYZ: \t%d", __LEAD2SYZ__); |
---|
831 | Print(", TAILREDSYZ: \t%d\n", __TAILREDSYZ__); |
---|
832 | |
---|
833 | dPrint(id, r, r, 1); |
---|
834 | } |
---|
835 | |
---|
836 | assume (h->Next() == NULL); |
---|
837 | |
---|
838 | id_Test(id, r); |
---|
839 | |
---|
840 | const int size = IDELEMS(id); |
---|
841 | |
---|
842 | const ideal newid = id; // id_Copy(id, r); // copy??? |
---|
843 | |
---|
844 | if( size >= 2 ) |
---|
845 | qsort_my(newid->m, size, sizeof(poly), r, cmp_c_ds); |
---|
846 | |
---|
847 | // res->data = newid; |
---|
848 | // res->rtyp = h->Typ(); |
---|
849 | |
---|
850 | if( __DEBUG__ ) |
---|
851 | { |
---|
852 | PrintS("Sort_c_ds::Output: \n"); |
---|
853 | dPrint(newid, r, r, 1); |
---|
854 | } |
---|
855 | |
---|
856 | return FALSE; |
---|
857 | } |
---|
858 | |
---|
859 | WarnS("ComputeLeadingSyzygyTerms needs a single ideal/module argument (must be a variable!)..."); |
---|
860 | return TRUE; |
---|
861 | } |
---|
862 | |
---|
863 | |
---|
864 | |
---|
865 | static ideal Compute2LeadingSyzygyTerms(const ideal& id, const ring r) |
---|
866 | { |
---|
867 | #ifndef NDEBUG |
---|
868 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
869 | #else |
---|
870 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
871 | #endif |
---|
872 | |
---|
873 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
874 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)0))); |
---|
875 | |
---|
876 | |
---|
877 | |
---|
878 | // 1. set of components S? |
---|
879 | // 2. for each component c from S: set of indices of leading terms |
---|
880 | // with this component? |
---|
881 | // 3. short exp. vectors for each leading term? |
---|
882 | |
---|
883 | const int size = IDELEMS(id); |
---|
884 | |
---|
885 | if( size < 2 ) |
---|
886 | { |
---|
887 | const ideal newid = idInit(1, 1); newid->m[0] = NULL; // zero module... |
---|
888 | return newid; |
---|
889 | } |
---|
890 | |
---|
891 | |
---|
892 | // TODO/NOTE: input is supposed to be sorted wrt "C,ds"!?? |
---|
893 | |
---|
894 | // components should come in groups: count elements in each group |
---|
895 | // && estimate the real size!!! |
---|
896 | |
---|
897 | |
---|
898 | // use just a vector instead??? |
---|
899 | ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
---|
900 | |
---|
901 | int k = 0; |
---|
902 | |
---|
903 | for (int j = 0; j < size; j++) |
---|
904 | { |
---|
905 | const poly p = id->m[j]; |
---|
906 | assume( p != NULL ); |
---|
907 | const int c = p_GetComp(p, r); |
---|
908 | |
---|
909 | for (int i = j - 1; i >= 0; i--) |
---|
910 | { |
---|
911 | const poly pp = id->m[i]; |
---|
912 | assume( pp != NULL ); |
---|
913 | const int cc = p_GetComp(pp, r); |
---|
914 | |
---|
915 | if( c != cc ) |
---|
916 | continue; |
---|
917 | |
---|
918 | // allocate memory & zero it out! |
---|
919 | const poly m = p_Init(r); const poly mm = p_Init(r); |
---|
920 | |
---|
921 | |
---|
922 | // m = LCM(p, pp) / p! mm = LCM(p, pp) / pp! |
---|
923 | // TODO: optimize: knowing the ring structure: (C/lp)! |
---|
924 | |
---|
925 | for (int v = rVar(r); v > 0; v--) |
---|
926 | { |
---|
927 | assume( v > 0 ); |
---|
928 | assume( v <= rVar(r) ); |
---|
929 | |
---|
930 | const short e1 = p_GetExp(p , v, r); |
---|
931 | const short e2 = p_GetExp(pp, v, r); |
---|
932 | |
---|
933 | if( e1 >= e2 ) |
---|
934 | p_SetExp(mm, v, e1 - e2, r); // p_SetExp(m, v, 0, r); |
---|
935 | else |
---|
936 | p_SetExp(m, v, e2 - e1, r); // p_SetExp(mm, v, 0, r); |
---|
937 | |
---|
938 | } |
---|
939 | |
---|
940 | assume( (j > i) && (i >= 0) ); |
---|
941 | |
---|
942 | p_SetComp(m, j + 1, r); |
---|
943 | p_SetComp(mm, i + 1, r); |
---|
944 | |
---|
945 | const number& lc1 = p_GetCoeff(p , r); |
---|
946 | const number& lc2 = p_GetCoeff(pp, r); |
---|
947 | |
---|
948 | number g = n_Lcm( lc1, lc2, r ); |
---|
949 | |
---|
950 | p_SetCoeff0(m , n_Div(g, lc1, r), r); |
---|
951 | p_SetCoeff0(mm, n_Neg(n_Div(g, lc2, r), r), r); |
---|
952 | |
---|
953 | n_Delete(&g, r); |
---|
954 | |
---|
955 | p_Setm(m, r); // should not do anything!!! |
---|
956 | p_Setm(mm, r); // should not do anything!!! |
---|
957 | |
---|
958 | pNext(m) = mm; // pNext(mm) = NULL; |
---|
959 | |
---|
960 | newid->m[k++] = m; |
---|
961 | } |
---|
962 | } |
---|
963 | |
---|
964 | // if( __DEBUG__ && FALSE ) |
---|
965 | // { |
---|
966 | // PrintS("Compute2LeadingSyzygyTerms::Temp0: \n"); |
---|
967 | // dPrint(newid, r, r, 1); |
---|
968 | // } |
---|
969 | |
---|
970 | if( !__TAILREDSYZ__ ) |
---|
971 | { |
---|
972 | // simplify(newid, 2 + 32)?? |
---|
973 | // sort(newid, "C,ds")[1]??? |
---|
974 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
975 | |
---|
976 | // if( __DEBUG__ && FALSE ) |
---|
977 | // { |
---|
978 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (deldiv): \n"); |
---|
979 | // dPrint(newid, r, r, 1); |
---|
980 | // } |
---|
981 | } |
---|
982 | else |
---|
983 | { |
---|
984 | // option(redSB); option(redTail); |
---|
985 | // TEST_OPT_REDSB |
---|
986 | // TEST_OPT_REDTAIL |
---|
987 | assume( r == currRing ); |
---|
988 | BITSET _save_test = test; |
---|
989 | test |= (Sy_bit(OPT_REDTAIL) | Sy_bit(OPT_REDSB)); |
---|
990 | |
---|
991 | intvec* w=new intvec(IDELEMS(newid)); |
---|
992 | ideal tmp = kStd(newid, currQuotient, isHomog, &w); |
---|
993 | delete w; |
---|
994 | |
---|
995 | test = _save_test; |
---|
996 | |
---|
997 | id_Delete(&newid, r); |
---|
998 | newid = tmp; |
---|
999 | |
---|
1000 | // if( __DEBUG__ && FALSE ) |
---|
1001 | // { |
---|
1002 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (std): \n"); |
---|
1003 | // dPrint(newid, r, r, 1); |
---|
1004 | // } |
---|
1005 | |
---|
1006 | } |
---|
1007 | |
---|
1008 | idSkipZeroes(newid); |
---|
1009 | |
---|
1010 | const int sizeNew = IDELEMS(newid); |
---|
1011 | |
---|
1012 | if( sizeNew >= 2 ) |
---|
1013 | qsort_my(newid->m, sizeNew, sizeof(poly), r, cmp_c_ds); |
---|
1014 | |
---|
1015 | newid->rank = id_RankFreeModule(newid, r); |
---|
1016 | |
---|
1017 | return newid; |
---|
1018 | } |
---|
1019 | |
---|
1020 | |
---|
1021 | |
---|
1022 | static BOOLEAN Compute2LeadingSyzygyTerms(leftv res, leftv h) |
---|
1023 | { |
---|
1024 | const ring r = currRing; |
---|
1025 | NoReturn(res); |
---|
1026 | |
---|
1027 | if( h == NULL ) |
---|
1028 | { |
---|
1029 | WarnS("Compute2LeadingSyzygyTerms needs an argument..."); |
---|
1030 | return TRUE; |
---|
1031 | } |
---|
1032 | |
---|
1033 | assume( h != NULL ); |
---|
1034 | |
---|
1035 | #ifndef NDEBUG |
---|
1036 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1037 | #else |
---|
1038 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1039 | #endif |
---|
1040 | |
---|
1041 | const BOOLEAN __LEAD2SYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"LEAD2SYZ",INT_CMD, (void*)0))); |
---|
1042 | |
---|
1043 | assume( __LEAD2SYZ__ ); |
---|
1044 | |
---|
1045 | if( h->Typ() == IDEAL_CMD || h->Typ() == MODUL_CMD) |
---|
1046 | { |
---|
1047 | const ideal id = (const ideal)h->Data(); |
---|
1048 | |
---|
1049 | assume(id != NULL); |
---|
1050 | |
---|
1051 | if( __DEBUG__ ) |
---|
1052 | { |
---|
1053 | PrintS("Compute2LeadingSyzygyTerms::Input: \n"); |
---|
1054 | dPrint(id, r, r, 0); |
---|
1055 | } |
---|
1056 | |
---|
1057 | h = h->Next(); assume (h == NULL); |
---|
1058 | |
---|
1059 | res->data = Compute2LeadingSyzygyTerms(id, r); |
---|
1060 | res->rtyp = MODUL_CMD; |
---|
1061 | |
---|
1062 | return FALSE; |
---|
1063 | } |
---|
1064 | |
---|
1065 | WarnS("Compute2LeadingSyzygyTerms needs a single ideal/module argument..."); |
---|
1066 | return TRUE; |
---|
1067 | } |
---|
1068 | |
---|
1069 | |
---|
1070 | /// return a new term: leading coeff * leading monomial of p |
---|
1071 | /// with 0 leading component! |
---|
1072 | static inline poly leadmonom(const poly p, const ring r) |
---|
1073 | { |
---|
1074 | poly m = NULL; |
---|
1075 | |
---|
1076 | if( p != NULL ) |
---|
1077 | { |
---|
1078 | assume( p != NULL ); |
---|
1079 | assume( p_LmTest(p, r) ); |
---|
1080 | |
---|
1081 | m = p_LmInit(p, r); |
---|
1082 | p_SetCoeff0(m, n_Copy(p_GetCoeff(p, r), r), r); |
---|
1083 | |
---|
1084 | p_SetComp(m, 0, r); |
---|
1085 | p_Setm(m, r); |
---|
1086 | |
---|
1087 | assume( p_GetComp(m, r) == 0 ); |
---|
1088 | assume( m != NULL ); |
---|
1089 | assume( pNext(m) == NULL ); |
---|
1090 | assume( p_LmTest(m, r) ); |
---|
1091 | } |
---|
1092 | |
---|
1093 | return m; |
---|
1094 | } |
---|
1095 | |
---|
1096 | |
---|
1097 | |
---|
1098 | static poly FindReducer(poly product, poly syzterm, |
---|
1099 | ideal L, ideal LS, |
---|
1100 | const ring r) |
---|
1101 | { |
---|
1102 | assume( product != NULL ); |
---|
1103 | assume( L != NULL ); |
---|
1104 | |
---|
1105 | int c = 0; |
---|
1106 | |
---|
1107 | if (syzterm != NULL) |
---|
1108 | c = p_GetComp(syzterm, r) - 1; |
---|
1109 | |
---|
1110 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
1111 | |
---|
1112 | #ifndef NDEBUG |
---|
1113 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1114 | #else |
---|
1115 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1116 | #endif |
---|
1117 | |
---|
1118 | long debug = __DEBUG__; |
---|
1119 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)debug))); |
---|
1120 | |
---|
1121 | if (__SYZCHECK__ && syzterm != NULL) |
---|
1122 | { |
---|
1123 | const poly m = L->m[c]; |
---|
1124 | |
---|
1125 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
1126 | |
---|
1127 | poly lm = p_Mult_mm(leadmonom(syzterm, r), m, r); |
---|
1128 | assume( p_EqualPolys(lm, product, r) ); |
---|
1129 | |
---|
1130 | // def @@c = leadcomp(syzterm); int @@r = int(@@c); |
---|
1131 | // def @@product = leadmonomial(syzterm) * L[@@r]; |
---|
1132 | |
---|
1133 | p_Delete(&lm, r); |
---|
1134 | } |
---|
1135 | |
---|
1136 | // looking for an appropriate diviser q = L[k]... |
---|
1137 | for( int k = IDELEMS(L)-1; k>= 0; k-- ) |
---|
1138 | { |
---|
1139 | const poly p = L->m[k]; |
---|
1140 | |
---|
1141 | // ... which divides the product, looking for the _1st_ appropriate one! |
---|
1142 | if( !p_LmDivisibleBy(p, product, r) ) |
---|
1143 | continue; |
---|
1144 | |
---|
1145 | |
---|
1146 | const poly q = p_New(r); |
---|
1147 | pNext(q) = NULL; |
---|
1148 | p_ExpVectorDiff(q, product, p, r); // (LM(product) / LM(L[k])) |
---|
1149 | p_SetComp(q, k + 1, r); |
---|
1150 | p_Setm(q, r); |
---|
1151 | |
---|
1152 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
1153 | if (syzterm != NULL && (k == c)) |
---|
1154 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
1155 | { |
---|
1156 | if( __DEBUG__ ) |
---|
1157 | { |
---|
1158 | Print("FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
1159 | dPrint(syzterm, r, r, 1); |
---|
1160 | } |
---|
1161 | |
---|
1162 | p_LmFree(q, r); |
---|
1163 | continue; |
---|
1164 | } |
---|
1165 | |
---|
1166 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
1167 | if( LS != NULL ) |
---|
1168 | { |
---|
1169 | BOOLEAN ok = TRUE; |
---|
1170 | |
---|
1171 | for(int kk = IDELEMS(LS)-1; kk>= 0; kk-- ) |
---|
1172 | { |
---|
1173 | const poly pp = LS->m[kk]; |
---|
1174 | |
---|
1175 | if( p_LmDivisibleBy(pp, q, r) ) |
---|
1176 | { |
---|
1177 | |
---|
1178 | if( __DEBUG__ ) |
---|
1179 | { |
---|
1180 | Print("FindReducer::Test LS: q is divisible by LS[%d] !:((, diviser is: ", kk+1); |
---|
1181 | dPrint(pp, r, r, 1); |
---|
1182 | } |
---|
1183 | |
---|
1184 | ok = FALSE; // q in <LS> :(( |
---|
1185 | break; |
---|
1186 | } |
---|
1187 | } |
---|
1188 | |
---|
1189 | if(!ok) |
---|
1190 | { |
---|
1191 | p_LmFree(q, r); |
---|
1192 | continue; |
---|
1193 | } |
---|
1194 | } |
---|
1195 | |
---|
1196 | p_SetCoeff0(q, n_Neg( n_Div( p_GetCoeff(product, r), p_GetCoeff(p, r), r), r), r); |
---|
1197 | return q; |
---|
1198 | |
---|
1199 | } |
---|
1200 | |
---|
1201 | |
---|
1202 | return NULL; |
---|
1203 | } |
---|
1204 | |
---|
1205 | |
---|
1206 | /// TODO: save shortcut (syz: |-.->) LM(LM(m) * "t") -> syz? |
---|
1207 | /// proc SSFindReducer(def product, def syzterm, def L, def T, list #) |
---|
1208 | static BOOLEAN FindReducer(leftv res, leftv h) |
---|
1209 | { |
---|
1210 | const char* usage = "`FindReducer(<poly/vector>, <vector/0>, <ideal/module>[,<module>])` expected"; |
---|
1211 | const ring r = currRing; |
---|
1212 | |
---|
1213 | NoReturn(res); |
---|
1214 | |
---|
1215 | |
---|
1216 | #ifndef NDEBUG |
---|
1217 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1218 | #else |
---|
1219 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1220 | #endif |
---|
1221 | |
---|
1222 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
1223 | |
---|
1224 | if ((h==NULL) || (h->Typ()!=VECTOR_CMD && h->Typ() !=POLY_CMD) || (h->Data() == NULL)) |
---|
1225 | { |
---|
1226 | WerrorS(usage); |
---|
1227 | return TRUE; |
---|
1228 | } |
---|
1229 | |
---|
1230 | const poly product = (poly) h->Data(); assume (product != NULL); |
---|
1231 | |
---|
1232 | |
---|
1233 | h = h->Next(); |
---|
1234 | if ((h==NULL) || !((h->Typ()==VECTOR_CMD) || (h->Data() == NULL)) ) |
---|
1235 | { |
---|
1236 | WerrorS(usage); |
---|
1237 | return TRUE; |
---|
1238 | } |
---|
1239 | |
---|
1240 | poly syzterm = NULL; |
---|
1241 | |
---|
1242 | if(h->Typ()==VECTOR_CMD) |
---|
1243 | syzterm = (poly) h->Data(); |
---|
1244 | |
---|
1245 | |
---|
1246 | |
---|
1247 | h = h->Next(); |
---|
1248 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1249 | { |
---|
1250 | WerrorS(usage); |
---|
1251 | return TRUE; |
---|
1252 | } |
---|
1253 | |
---|
1254 | const ideal L = (ideal) h->Data(); h = h->Next(); |
---|
1255 | |
---|
1256 | assume( IDELEMS(L) > 0 ); |
---|
1257 | |
---|
1258 | ideal LS = NULL; |
---|
1259 | |
---|
1260 | if ((h != NULL) && (h->Typ() ==MODUL_CMD) && (h->Data() != NULL)) |
---|
1261 | { |
---|
1262 | LS = (ideal)h->Data(); |
---|
1263 | h = h->Next(); |
---|
1264 | } |
---|
1265 | |
---|
1266 | if( __TAILREDSYZ__ ) |
---|
1267 | assume (LS != NULL); |
---|
1268 | |
---|
1269 | assume( h == NULL ); |
---|
1270 | |
---|
1271 | if( __DEBUG__ ) |
---|
1272 | { |
---|
1273 | PrintS("FindReducer(product, syzterm, L, T, #)::Input: \n"); |
---|
1274 | |
---|
1275 | PrintS("product: "); dPrint(product, r, r, 2); |
---|
1276 | PrintS("syzterm: "); dPrint(syzterm, r, r, 2); |
---|
1277 | PrintS("L: "); dPrint(L, r, r, 0); |
---|
1278 | // PrintS("T: "); dPrint(T, r, r, 4); |
---|
1279 | |
---|
1280 | if( LS == NULL ) |
---|
1281 | PrintS("LS: NULL\n"); |
---|
1282 | else |
---|
1283 | { |
---|
1284 | PrintS("LS: "); dPrint(LS, r, r, 0); |
---|
1285 | } |
---|
1286 | } |
---|
1287 | |
---|
1288 | res->rtyp = VECTOR_CMD; |
---|
1289 | res->data = FindReducer(product, syzterm, L, LS, r); |
---|
1290 | |
---|
1291 | if( __DEBUG__ ) |
---|
1292 | { |
---|
1293 | PrintS("FindReducer::Output: \n"); |
---|
1294 | dPrint((poly)res->data, r, r, 2); |
---|
1295 | } |
---|
1296 | |
---|
1297 | return FALSE; |
---|
1298 | |
---|
1299 | } |
---|
1300 | |
---|
1301 | static poly ReduceTerm(poly multiplier, poly term4reduction, poly syztermCheck, |
---|
1302 | ideal L, ideal T, ideal LS, const ring r); |
---|
1303 | |
---|
1304 | static poly TraverseTail(poly multiplier, poly tail, |
---|
1305 | ideal L, ideal T, ideal LS, |
---|
1306 | const ring r) |
---|
1307 | { |
---|
1308 | assume( multiplier != NULL ); |
---|
1309 | |
---|
1310 | assume( L != NULL ); |
---|
1311 | assume( T != NULL ); |
---|
1312 | |
---|
1313 | poly s = NULL; |
---|
1314 | |
---|
1315 | // iterate over the tail |
---|
1316 | for(poly p = tail; p != NULL; p = pNext(p)) |
---|
1317 | s = p_Add_q(s, ReduceTerm(multiplier, p, NULL, L, T, LS, r), r); |
---|
1318 | |
---|
1319 | return s; |
---|
1320 | } |
---|
1321 | |
---|
1322 | |
---|
1323 | static poly ReduceTerm(poly multiplier, poly term4reduction, poly syztermCheck, |
---|
1324 | ideal L, ideal T, ideal LS, const ring r) |
---|
1325 | { |
---|
1326 | assume( multiplier != NULL ); |
---|
1327 | assume( term4reduction != NULL ); |
---|
1328 | |
---|
1329 | |
---|
1330 | assume( L != NULL ); |
---|
1331 | assume( T != NULL ); |
---|
1332 | |
---|
1333 | // assume(r == currRing); // ? |
---|
1334 | |
---|
1335 | // simple implementation with FindReducer: |
---|
1336 | poly s = NULL; |
---|
1337 | |
---|
1338 | if(1) |
---|
1339 | { |
---|
1340 | // NOTE: only LT(term4reduction) should be used in the following: |
---|
1341 | poly product = pp_Mult_mm(multiplier, term4reduction, r); |
---|
1342 | s = FindReducer(product, syztermCheck, L, LS, r); |
---|
1343 | p_Delete(&product, r); |
---|
1344 | } |
---|
1345 | |
---|
1346 | if( s == NULL ) // No Reducer? |
---|
1347 | return s; |
---|
1348 | |
---|
1349 | poly b = leadmonom(s, r); |
---|
1350 | |
---|
1351 | const int c = p_GetComp(s, r) - 1; |
---|
1352 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
1353 | |
---|
1354 | const poly tail = T->m[c]; |
---|
1355 | |
---|
1356 | if( tail != NULL ) |
---|
1357 | s = p_Add_q(s, TraverseTail(b, tail, L, T, LS, r), r); |
---|
1358 | |
---|
1359 | return s; |
---|
1360 | } |
---|
1361 | |
---|
1362 | |
---|
1363 | static poly SchreyerSyzygyNF(poly syz_lead, poly syz_2, ideal L, ideal T, ideal LS, const ring r) |
---|
1364 | { |
---|
1365 | assume( syz_lead != NULL ); |
---|
1366 | assume( syz_2 != NULL ); |
---|
1367 | |
---|
1368 | assume( L != NULL ); |
---|
1369 | assume( T != NULL ); |
---|
1370 | |
---|
1371 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
1372 | |
---|
1373 | int c = p_GetComp(syz_lead, r) - 1; |
---|
1374 | |
---|
1375 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
1376 | |
---|
1377 | poly p = leadmonom(syz_lead, r); // :( |
---|
1378 | poly spoly = pp_Mult_qq(p, T->m[c], r); |
---|
1379 | p_Delete(&p, r); |
---|
1380 | |
---|
1381 | |
---|
1382 | c = p_GetComp(syz_2, r) - 1; |
---|
1383 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
1384 | |
---|
1385 | p = leadmonom(syz_2, r); // :( |
---|
1386 | spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
1387 | p_Delete(&p, r); |
---|
1388 | |
---|
1389 | poly tail = p_Copy(syz_2, r); // TODO: use bucket!? |
---|
1390 | |
---|
1391 | while (spoly != NULL) |
---|
1392 | { |
---|
1393 | poly t = FindReducer(spoly, NULL, L, LS, r); |
---|
1394 | |
---|
1395 | p_LmDelete(&spoly, r); |
---|
1396 | |
---|
1397 | if( t != NULL ) |
---|
1398 | { |
---|
1399 | p = leadmonom(t, r); // :( |
---|
1400 | c = p_GetComp(t, r) - 1; |
---|
1401 | |
---|
1402 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
1403 | |
---|
1404 | spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
1405 | |
---|
1406 | p_Delete(&p, r); |
---|
1407 | |
---|
1408 | tail = p_Add_q(tail, t, r); |
---|
1409 | } |
---|
1410 | } |
---|
1411 | |
---|
1412 | return tail; |
---|
1413 | } |
---|
1414 | |
---|
1415 | // proc SchreyerSyzygyNF(vector syz_lead, vector syz_2, def L, def T, list #) |
---|
1416 | static BOOLEAN SchreyerSyzygyNF(leftv res, leftv h) |
---|
1417 | { |
---|
1418 | const char* usage = "`SchreyerSyzygyNF(<vector>, <vector>, <ideal/module>, <ideal/module>[,<module>])` expected"; |
---|
1419 | const ring r = currRing; |
---|
1420 | |
---|
1421 | NoReturn(res); |
---|
1422 | |
---|
1423 | #ifndef NDEBUG |
---|
1424 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1425 | #else |
---|
1426 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1427 | #endif |
---|
1428 | |
---|
1429 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
1430 | // const BOOLEAN __LEAD2SYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"LEAD2SYZ",INT_CMD, (void*)0))); |
---|
1431 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)0))); |
---|
1432 | |
---|
1433 | if ((h==NULL) || (h->Typ() != VECTOR_CMD) || (h->Data() == NULL)) |
---|
1434 | { |
---|
1435 | WerrorS(usage); |
---|
1436 | return TRUE; |
---|
1437 | } |
---|
1438 | |
---|
1439 | const poly syz_lead = (poly) h->Data(); assume (syz_lead != NULL); |
---|
1440 | |
---|
1441 | |
---|
1442 | h = h->Next(); |
---|
1443 | if ((h==NULL) || (h->Typ() != VECTOR_CMD) || (h->Data() == NULL)) |
---|
1444 | { |
---|
1445 | WerrorS(usage); |
---|
1446 | return TRUE; |
---|
1447 | } |
---|
1448 | |
---|
1449 | const poly syz_2 = (poly) h->Data(); assume (syz_2 != NULL); |
---|
1450 | |
---|
1451 | h = h->Next(); |
---|
1452 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1453 | { |
---|
1454 | WerrorS(usage); |
---|
1455 | return TRUE; |
---|
1456 | } |
---|
1457 | |
---|
1458 | const ideal L = (ideal) h->Data(); assume( IDELEMS(L) > 0 ); |
---|
1459 | |
---|
1460 | |
---|
1461 | h = h->Next(); |
---|
1462 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1463 | { |
---|
1464 | WerrorS(usage); |
---|
1465 | return TRUE; |
---|
1466 | } |
---|
1467 | |
---|
1468 | const ideal T = (ideal) h->Data(); |
---|
1469 | |
---|
1470 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
1471 | |
---|
1472 | ideal LS = NULL; |
---|
1473 | |
---|
1474 | h = h->Next(); |
---|
1475 | if ((h != NULL) && (h->Typ() ==MODUL_CMD) && (h->Data() != NULL)) |
---|
1476 | { |
---|
1477 | LS = (ideal)h->Data(); |
---|
1478 | h = h->Next(); |
---|
1479 | } |
---|
1480 | |
---|
1481 | if( __TAILREDSYZ__ ) |
---|
1482 | assume (LS != NULL); |
---|
1483 | |
---|
1484 | assume( h == NULL ); |
---|
1485 | |
---|
1486 | if( __DEBUG__ ) |
---|
1487 | { |
---|
1488 | PrintS("SchreyerSyzygyNF(syz_lead, syz_2, L, T, #)::Input: \n"); |
---|
1489 | |
---|
1490 | PrintS("syz_lead: "); dPrint(syz_lead, r, r, 2); |
---|
1491 | PrintS("syz_2: "); dPrint(syz_2, r, r, 2); |
---|
1492 | |
---|
1493 | PrintS("L: "); dPrint(L, r, r, 0); |
---|
1494 | PrintS("T: "); dPrint(T, r, r, 0); |
---|
1495 | |
---|
1496 | if( LS == NULL ) |
---|
1497 | PrintS("LS: NULL\n"); |
---|
1498 | else |
---|
1499 | { |
---|
1500 | PrintS("LS: "); dPrint(LS, r, r, 0); |
---|
1501 | } |
---|
1502 | } |
---|
1503 | |
---|
1504 | res->rtyp = VECTOR_CMD; |
---|
1505 | res->data = SchreyerSyzygyNF(syz_lead, syz_2, L, T, LS, r); |
---|
1506 | |
---|
1507 | if( __DEBUG__ ) |
---|
1508 | { |
---|
1509 | PrintS("SchreyerSyzygyNF::Output: "); |
---|
1510 | |
---|
1511 | dPrint((poly)res->data, r, r, 2); |
---|
1512 | } |
---|
1513 | |
---|
1514 | |
---|
1515 | return FALSE; |
---|
1516 | } |
---|
1517 | |
---|
1518 | |
---|
1519 | |
---|
1520 | /// TODO: save shortcut (syz: |-.->) LM(m) * "t" -> ? |
---|
1521 | /// proc SSReduceTerm(poly m, def t, def syzterm, def L, def T, list #) |
---|
1522 | static BOOLEAN ReduceTerm(leftv res, leftv h) |
---|
1523 | { |
---|
1524 | const char* usage = "`ReduceTerm(<poly>, <poly/vector>, <vector/0>, <ideal/module>, <ideal/module>[,<module>])` expected"; |
---|
1525 | const ring r = currRing; |
---|
1526 | |
---|
1527 | NoReturn(res); |
---|
1528 | |
---|
1529 | #ifndef NDEBUG |
---|
1530 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1531 | #else |
---|
1532 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1533 | #endif |
---|
1534 | |
---|
1535 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)0))); |
---|
1536 | // const BOOLEAN __LEAD2SYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"LEAD2SYZ",INT_CMD, (void*)0))); |
---|
1537 | const BOOLEAN __SYZCHECK__ = (BOOLEAN)((long)(atGet(currRingHdl,"SYZCHECK",INT_CMD, (void*)0))); |
---|
1538 | |
---|
1539 | if ((h==NULL) || (h->Typ() !=POLY_CMD) || (h->Data() == NULL)) |
---|
1540 | { |
---|
1541 | WerrorS(usage); |
---|
1542 | return TRUE; |
---|
1543 | } |
---|
1544 | |
---|
1545 | const poly multiplier = (poly) h->Data(); assume (multiplier != NULL); |
---|
1546 | |
---|
1547 | |
---|
1548 | h = h->Next(); |
---|
1549 | if ((h==NULL) || (h->Typ()!=VECTOR_CMD && h->Typ() !=POLY_CMD) || (h->Data() == NULL)) |
---|
1550 | { |
---|
1551 | WerrorS(usage); |
---|
1552 | return TRUE; |
---|
1553 | } |
---|
1554 | |
---|
1555 | const poly term4reduction = (poly) h->Data(); assume( term4reduction != NULL ); |
---|
1556 | |
---|
1557 | |
---|
1558 | poly syztermCheck = NULL; |
---|
1559 | |
---|
1560 | h = h->Next(); |
---|
1561 | if ((h==NULL) || !((h->Typ()==VECTOR_CMD) || (h->Data() == NULL)) ) |
---|
1562 | { |
---|
1563 | WerrorS(usage); |
---|
1564 | return TRUE; |
---|
1565 | } |
---|
1566 | |
---|
1567 | if(h->Typ()==VECTOR_CMD) |
---|
1568 | syztermCheck = (poly) h->Data(); |
---|
1569 | |
---|
1570 | |
---|
1571 | h = h->Next(); |
---|
1572 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1573 | { |
---|
1574 | WerrorS(usage); |
---|
1575 | return TRUE; |
---|
1576 | } |
---|
1577 | |
---|
1578 | const ideal L = (ideal) h->Data(); assume( IDELEMS(L) > 0 ); |
---|
1579 | |
---|
1580 | |
---|
1581 | h = h->Next(); |
---|
1582 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1583 | { |
---|
1584 | WerrorS(usage); |
---|
1585 | return TRUE; |
---|
1586 | } |
---|
1587 | |
---|
1588 | const ideal T = (ideal) h->Data(); |
---|
1589 | |
---|
1590 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
1591 | |
---|
1592 | ideal LS = NULL; |
---|
1593 | |
---|
1594 | h = h->Next(); |
---|
1595 | if ((h != NULL) && (h->Typ() ==MODUL_CMD) && (h->Data() != NULL)) |
---|
1596 | { |
---|
1597 | LS = (ideal)h->Data(); |
---|
1598 | h = h->Next(); |
---|
1599 | } |
---|
1600 | |
---|
1601 | if( __TAILREDSYZ__ ) |
---|
1602 | assume (LS != NULL); |
---|
1603 | |
---|
1604 | assume( h == NULL ); |
---|
1605 | |
---|
1606 | if( __DEBUG__ ) |
---|
1607 | { |
---|
1608 | PrintS("ReduceTerm(m, t, syzterm, L, T, #)::Input: \n"); |
---|
1609 | |
---|
1610 | PrintS("m: "); dPrint(multiplier, r, r, 2); |
---|
1611 | PrintS("t: "); dPrint(term4reduction, r, r, 2); |
---|
1612 | PrintS("syzterm: "); dPrint(syztermCheck, r, r, 2); |
---|
1613 | |
---|
1614 | PrintS("L: "); dPrint(L, r, r, 0); |
---|
1615 | PrintS("T: "); dPrint(T, r, r, 0); |
---|
1616 | |
---|
1617 | if( LS == NULL ) |
---|
1618 | PrintS("LS: NULL\n"); |
---|
1619 | else |
---|
1620 | { |
---|
1621 | PrintS("LS: "); dPrint(LS, r, r, 0); |
---|
1622 | } |
---|
1623 | } |
---|
1624 | |
---|
1625 | |
---|
1626 | if (__SYZCHECK__ && syztermCheck != NULL) |
---|
1627 | { |
---|
1628 | const int c = p_GetComp(syztermCheck, r) - 1; |
---|
1629 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
1630 | |
---|
1631 | const poly p = L->m[c]; |
---|
1632 | assume( p != NULL ); assume( pNext(p) == NULL ); |
---|
1633 | |
---|
1634 | assume( p_EqualPolys(term4reduction, p, r) ); // assume? TODO |
---|
1635 | |
---|
1636 | |
---|
1637 | poly m = leadmonom(syztermCheck, r); |
---|
1638 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
1639 | |
---|
1640 | assume( p_EqualPolys(multiplier, m, r) ); // assume? TODO |
---|
1641 | |
---|
1642 | p_Delete(&m, r); |
---|
1643 | |
---|
1644 | // NOTE: leadmonomial(syzterm) == m && L[leadcomp(syzterm)] == t |
---|
1645 | } |
---|
1646 | |
---|
1647 | res->rtyp = VECTOR_CMD; |
---|
1648 | res->data = ReduceTerm(multiplier, term4reduction, syztermCheck, L, T, LS, r); |
---|
1649 | |
---|
1650 | |
---|
1651 | if( __DEBUG__ ) |
---|
1652 | { |
---|
1653 | PrintS("ReduceTerm::Output: "); |
---|
1654 | |
---|
1655 | dPrint((poly)res->data, r, r, 2); |
---|
1656 | } |
---|
1657 | |
---|
1658 | |
---|
1659 | return FALSE; |
---|
1660 | } |
---|
1661 | |
---|
1662 | |
---|
1663 | |
---|
1664 | |
---|
1665 | // TODO: store m * @tail -.-^-.-^-.--> ? |
---|
1666 | // proc SSTraverseTail(poly m, def @tail, def L, def T, list #) |
---|
1667 | static BOOLEAN TraverseTail(leftv res, leftv h) |
---|
1668 | { |
---|
1669 | const char* usage = "`TraverseTail(<poly>, <poly/vector>, <ideal/module>, <ideal/module>[,<module>])` expected"; |
---|
1670 | const ring r = currRing; |
---|
1671 | |
---|
1672 | NoReturn(res); |
---|
1673 | |
---|
1674 | #ifndef NDEBUG |
---|
1675 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)TRUE))); |
---|
1676 | #else |
---|
1677 | const BOOLEAN __DEBUG__ = (BOOLEAN)((long)(atGet(currRingHdl,"DEBUG",INT_CMD, (void*)FALSE))); |
---|
1678 | #endif |
---|
1679 | |
---|
1680 | const BOOLEAN __TAILREDSYZ__ = (BOOLEAN)((long)(atGet(currRingHdl,"TAILREDSYZ",INT_CMD, (void*)1))); |
---|
1681 | |
---|
1682 | if ((h==NULL) || (h->Typ() !=POLY_CMD) || (h->Data() == NULL)) |
---|
1683 | { |
---|
1684 | WerrorS(usage); |
---|
1685 | return TRUE; |
---|
1686 | } |
---|
1687 | |
---|
1688 | const poly multiplier = (poly) h->Data(); assume (multiplier != NULL); |
---|
1689 | |
---|
1690 | h = h->Next(); |
---|
1691 | if ((h==NULL) || (h->Typ()!=VECTOR_CMD && h->Typ() !=POLY_CMD)) |
---|
1692 | { |
---|
1693 | WerrorS(usage); |
---|
1694 | return TRUE; |
---|
1695 | } |
---|
1696 | |
---|
1697 | const poly tail = (poly) h->Data(); |
---|
1698 | |
---|
1699 | h = h->Next(); |
---|
1700 | |
---|
1701 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1702 | { |
---|
1703 | WerrorS(usage); |
---|
1704 | return TRUE; |
---|
1705 | } |
---|
1706 | |
---|
1707 | const ideal L = (ideal) h->Data(); |
---|
1708 | |
---|
1709 | assume( IDELEMS(L) > 0 ); |
---|
1710 | |
---|
1711 | h = h->Next(); |
---|
1712 | if ((h==NULL) || (h->Typ()!=IDEAL_CMD && h->Typ() !=MODUL_CMD) || (h->Data() == NULL)) |
---|
1713 | { |
---|
1714 | WerrorS(usage); |
---|
1715 | return TRUE; |
---|
1716 | } |
---|
1717 | |
---|
1718 | const ideal T = (ideal) h->Data(); |
---|
1719 | |
---|
1720 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
1721 | |
---|
1722 | h = h->Next(); |
---|
1723 | |
---|
1724 | ideal LS = NULL; |
---|
1725 | |
---|
1726 | if ((h != NULL) && (h->Typ() ==MODUL_CMD) && (h->Data() != NULL)) |
---|
1727 | { |
---|
1728 | LS = (ideal)h->Data(); |
---|
1729 | h = h->Next(); |
---|
1730 | } |
---|
1731 | |
---|
1732 | if( __TAILREDSYZ__ ) |
---|
1733 | assume (LS != NULL); |
---|
1734 | |
---|
1735 | assume( h == NULL ); |
---|
1736 | |
---|
1737 | if( __DEBUG__ ) |
---|
1738 | { |
---|
1739 | PrintS("TraverseTail(m, t, L, T, #)::Input: \n"); |
---|
1740 | |
---|
1741 | PrintS("m: "); dPrint(multiplier, r, r, 2); |
---|
1742 | PrintS("t: "); dPrint(tail, r, r, 10); |
---|
1743 | |
---|
1744 | PrintS("L: "); dPrint(L, r, r, 0); |
---|
1745 | PrintS("T: "); dPrint(T, r, r, 0); |
---|
1746 | |
---|
1747 | if( LS == NULL ) |
---|
1748 | PrintS("LS: NULL\n"); |
---|
1749 | else |
---|
1750 | { |
---|
1751 | PrintS("LS: "); dPrint(LS, r, r, 0); |
---|
1752 | } |
---|
1753 | } |
---|
1754 | |
---|
1755 | res->rtyp = VECTOR_CMD; |
---|
1756 | res->data = TraverseTail(multiplier, tail, L, T, LS, r); |
---|
1757 | |
---|
1758 | |
---|
1759 | if( __DEBUG__ ) |
---|
1760 | { |
---|
1761 | PrintS("TraverseTail::Output: "); |
---|
1762 | dPrint((poly)res->data, r, r, 2); |
---|
1763 | } |
---|
1764 | |
---|
1765 | return FALSE; |
---|
1766 | } |
---|
1767 | |
---|
1768 | |
---|
1769 | |
---|
1770 | |
---|
1771 | |
---|
1772 | |
---|
1773 | /// Get leading term without a module component |
---|
1774 | static BOOLEAN leadmonom(leftv res, leftv h) |
---|
1775 | { |
---|
1776 | NoReturn(res); |
---|
1777 | |
---|
1778 | if ((h!=NULL) && (h->Typ()==VECTOR_CMD || h->Typ()==POLY_CMD) && (h->Data() != NULL)) |
---|
1779 | { |
---|
1780 | const ring r = currRing; |
---|
1781 | const poly p = (poly)(h->Data()); |
---|
1782 | |
---|
1783 | const poly m = leadmonom(p, r); |
---|
1784 | |
---|
1785 | res->rtyp = POLY_CMD; |
---|
1786 | res->data = reinterpret_cast<void *>(m); |
---|
1787 | |
---|
1788 | return FALSE; |
---|
1789 | } |
---|
1790 | |
---|
1791 | WerrorS("`leadmonom(<poly/vector>)` expected"); |
---|
1792 | return TRUE; |
---|
1793 | } |
---|
1794 | |
---|
1795 | /// Get leading component |
---|
1796 | static BOOLEAN leadcomp(leftv res, leftv h) |
---|
1797 | { |
---|
1798 | NoReturn(res); |
---|
1799 | |
---|
1800 | if ((h!=NULL) && (h->Typ()==VECTOR_CMD || h->Typ()==POLY_CMD)) |
---|
1801 | { |
---|
1802 | const ring r = currRing; |
---|
1803 | |
---|
1804 | const poly p = (poly)(h->Data()); |
---|
1805 | |
---|
1806 | if (p != NULL ) |
---|
1807 | { |
---|
1808 | assume( p != NULL ); |
---|
1809 | assume( p_LmTest(p, r) ); |
---|
1810 | |
---|
1811 | const unsigned long iComp = p_GetComp(p, r); |
---|
1812 | |
---|
1813 | // assume( iComp > 0 ); // p is a vector |
---|
1814 | |
---|
1815 | res->data = reinterpret_cast<void *>(jjLONG2N(iComp)); |
---|
1816 | } else |
---|
1817 | res->data = reinterpret_cast<void *>(jjLONG2N(0)); |
---|
1818 | |
---|
1819 | |
---|
1820 | res->rtyp = BIGINT_CMD; |
---|
1821 | return FALSE; |
---|
1822 | } |
---|
1823 | |
---|
1824 | WerrorS("`leadcomp(<poly/vector>)` expected"); |
---|
1825 | return TRUE; |
---|
1826 | } |
---|
1827 | |
---|
1828 | |
---|
1829 | |
---|
1830 | |
---|
1831 | /// Get raw leading exponent vector |
---|
1832 | static BOOLEAN leadrawexp(leftv res, leftv h) |
---|
1833 | { |
---|
1834 | NoReturn(res); |
---|
1835 | |
---|
1836 | if ((h!=NULL) && (h->Typ()==VECTOR_CMD || h->Typ()==POLY_CMD) && (h->Data() != NULL)) |
---|
1837 | { |
---|
1838 | const ring r = currRing; |
---|
1839 | const poly p = (poly)(h->Data()); |
---|
1840 | |
---|
1841 | assume( p != NULL ); |
---|
1842 | assume( p_LmTest(p, r) ); |
---|
1843 | |
---|
1844 | const int iExpSize = r->ExpL_Size; |
---|
1845 | |
---|
1846 | // intvec *iv = new intvec(iExpSize); |
---|
1847 | |
---|
1848 | lists l=(lists)omAllocBin(slists_bin); |
---|
1849 | l->Init(iExpSize); |
---|
1850 | |
---|
1851 | for(int i = iExpSize-1; i >= 0; i--) |
---|
1852 | { |
---|
1853 | l->m[i].rtyp = BIGINT_CMD; |
---|
1854 | l->m[i].data = reinterpret_cast<void *>(jjLONG2N(p->exp[i])); // longs... |
---|
1855 | } |
---|
1856 | |
---|
1857 | res->rtyp = LIST_CMD; // list of bigints |
---|
1858 | res->data = reinterpret_cast<void *>(l); |
---|
1859 | return FALSE; |
---|
1860 | } |
---|
1861 | |
---|
1862 | WerrorS("`leadrawexp(<poly/vector>)` expected"); |
---|
1863 | return TRUE; |
---|
1864 | } |
---|
1865 | |
---|
1866 | |
---|
1867 | /// Endowe the current ring with additional (leading) Syz-component ordering |
---|
1868 | static BOOLEAN MakeSyzCompOrdering(leftv res, leftv /*h*/) |
---|
1869 | { |
---|
1870 | |
---|
1871 | NoReturn(res); |
---|
1872 | |
---|
1873 | // res->data = rCurrRingAssure_SyzComp(); // changes current ring! :( |
---|
1874 | res->data = reinterpret_cast<void *>(rAssure_SyzComp(currRing, TRUE)); |
---|
1875 | res->rtyp = RING_CMD; // return new ring! |
---|
1876 | // QRING_CMD? |
---|
1877 | |
---|
1878 | return FALSE; |
---|
1879 | } |
---|
1880 | |
---|
1881 | |
---|
1882 | /// Same for Induced Schreyer ordering (ordering on components is defined by sign!) |
---|
1883 | static BOOLEAN MakeInducedSchreyerOrdering(leftv res, leftv h) |
---|
1884 | { |
---|
1885 | |
---|
1886 | NoReturn(res); |
---|
1887 | |
---|
1888 | int sign = 1; |
---|
1889 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
1890 | { |
---|
1891 | const int s = (int)((long)(h->Data())); |
---|
1892 | |
---|
1893 | if( s != -1 && s != 1 ) |
---|
1894 | { |
---|
1895 | WerrorS("`MakeInducedSchreyerOrdering(<int>)` called with wrong integer argument (must be +-1)!"); |
---|
1896 | return TRUE; |
---|
1897 | } |
---|
1898 | |
---|
1899 | sign = s; |
---|
1900 | } |
---|
1901 | |
---|
1902 | assume( sign == 1 || sign == -1 ); |
---|
1903 | res->data = reinterpret_cast<void *>(rAssure_InducedSchreyerOrdering(currRing, TRUE, sign)); |
---|
1904 | res->rtyp = RING_CMD; // return new ring! |
---|
1905 | // QRING_CMD? |
---|
1906 | return FALSE; |
---|
1907 | } |
---|
1908 | |
---|
1909 | |
---|
1910 | /// Returns old SyzCompLimit, can set new limit |
---|
1911 | static BOOLEAN SetSyzComp(leftv res, leftv h) |
---|
1912 | { |
---|
1913 | NoReturn(res); |
---|
1914 | |
---|
1915 | const ring r = currRing; |
---|
1916 | |
---|
1917 | if( !rIsSyzIndexRing(r) ) |
---|
1918 | { |
---|
1919 | WerrorS("`SetSyzComp(<int>)` called on incompatible ring (not created by 'MakeSyzCompOrdering'!)"); |
---|
1920 | return TRUE; |
---|
1921 | } |
---|
1922 | |
---|
1923 | res->rtyp = INT_CMD; |
---|
1924 | res->data = reinterpret_cast<void *>(rGetCurrSyzLimit(r)); // return old syz limit |
---|
1925 | |
---|
1926 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
1927 | { |
---|
1928 | const int iSyzComp = (int)reinterpret_cast<long>(h->Data()); |
---|
1929 | assume( iSyzComp > 0 ); |
---|
1930 | rSetSyzComp(iSyzComp, currRing); |
---|
1931 | } |
---|
1932 | |
---|
1933 | return FALSE; |
---|
1934 | } |
---|
1935 | |
---|
1936 | /// ? |
---|
1937 | static BOOLEAN GetInducedData(leftv res, leftv h) |
---|
1938 | { |
---|
1939 | NoReturn(res); |
---|
1940 | |
---|
1941 | const ring r = currRing; |
---|
1942 | |
---|
1943 | int p = 0; // which IS-block? p^th! |
---|
1944 | |
---|
1945 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
1946 | { |
---|
1947 | p = (int)((long)(h->Data())); h=h->next; |
---|
1948 | assume(p >= 0); |
---|
1949 | } |
---|
1950 | |
---|
1951 | const int pos = rGetISPos(p, r); |
---|
1952 | |
---|
1953 | if( /*(*/ -1 == pos /*)*/ ) |
---|
1954 | { |
---|
1955 | WerrorS("`GetInducedData([int])` called on incompatible ring (not created by 'MakeInducedSchreyerOrdering'!)"); |
---|
1956 | return TRUE; |
---|
1957 | } |
---|
1958 | |
---|
1959 | |
---|
1960 | const int iLimit = r->typ[pos].data.is.limit; |
---|
1961 | const ideal F = r->typ[pos].data.is.F; |
---|
1962 | ideal FF = id_Copy(F, r); |
---|
1963 | |
---|
1964 | lists l=(lists)omAllocBin(slists_bin); |
---|
1965 | l->Init(2); |
---|
1966 | |
---|
1967 | l->m[0].rtyp = INT_CMD; |
---|
1968 | l->m[0].data = reinterpret_cast<void *>(iLimit); |
---|
1969 | |
---|
1970 | |
---|
1971 | // l->m[1].rtyp = MODUL_CMD; |
---|
1972 | |
---|
1973 | if( idIsModule(FF, r) ) |
---|
1974 | { |
---|
1975 | l->m[1].rtyp = MODUL_CMD; |
---|
1976 | |
---|
1977 | // Print("before: %d\n", FF->nrows); |
---|
1978 | // FF->nrows = id_RankFreeModule(FF, r); // ??? |
---|
1979 | // Print("after: %d\n", FF->nrows); |
---|
1980 | } |
---|
1981 | else |
---|
1982 | l->m[1].rtyp = IDEAL_CMD; |
---|
1983 | |
---|
1984 | l->m[1].data = reinterpret_cast<void *>(FF); |
---|
1985 | |
---|
1986 | res->rtyp = LIST_CMD; // list of int/module |
---|
1987 | res->data = reinterpret_cast<void *>(l); |
---|
1988 | |
---|
1989 | return FALSE; |
---|
1990 | |
---|
1991 | } |
---|
1992 | |
---|
1993 | |
---|
1994 | /* // the following turned out to be unnecessary... |
---|
1995 | /// Finds p^th AM ordering, and returns its position in r->typ[] AND |
---|
1996 | /// corresponding &r->wvhdl[] |
---|
1997 | /// returns FALSE if something went wrong! |
---|
1998 | /// p - starts with 0! |
---|
1999 | BOOLEAN rGetAMPos(const ring r, const int p, int &typ_pos, int &wvhdl_pos, const BOOLEAN bSearchWvhdl = FALSE) |
---|
2000 | { |
---|
2001 | #if MYTEST |
---|
2002 | Print("rGetAMPos(p: %d...)\nF:", p); |
---|
2003 | PrintLn(); |
---|
2004 | #endif |
---|
2005 | typ_pos = -1; |
---|
2006 | wvhdl_pos = -1; |
---|
2007 | |
---|
2008 | if (r->typ==NULL) |
---|
2009 | return FALSE; |
---|
2010 | |
---|
2011 | |
---|
2012 | int j = p; // Which IS record to use... |
---|
2013 | for( int pos = 0; pos < r->OrdSize; pos++ ) |
---|
2014 | if( r->typ[pos].ord_typ == ro_am) |
---|
2015 | if( j-- == 0 ) |
---|
2016 | { |
---|
2017 | typ_pos = pos; |
---|
2018 | |
---|
2019 | if( bSearchWvhdl ) |
---|
2020 | { |
---|
2021 | const int nblocks = rBlocks(r) - 1; |
---|
2022 | const int* w = r->typ[pos].data.am.weights; // ? |
---|
2023 | |
---|
2024 | for( pos = 0; pos <= nblocks; pos ++ ) |
---|
2025 | if (r->order[pos] == ringorder_am) |
---|
2026 | if( r->wvhdl[pos] == w ) |
---|
2027 | { |
---|
2028 | wvhdl_pos = pos; |
---|
2029 | break; |
---|
2030 | } |
---|
2031 | if (wvhdl_pos < 0) |
---|
2032 | return FALSE; |
---|
2033 | |
---|
2034 | assume(wvhdl_pos >= 0); |
---|
2035 | } |
---|
2036 | assume(typ_pos >= 0); |
---|
2037 | return TRUE; |
---|
2038 | } |
---|
2039 | |
---|
2040 | return FALSE; |
---|
2041 | } |
---|
2042 | |
---|
2043 | // // ? |
---|
2044 | // static BOOLEAN GetAMData(leftv res, leftv h) |
---|
2045 | // { |
---|
2046 | // NoReturn(res); |
---|
2047 | // |
---|
2048 | // const ring r = currRing; |
---|
2049 | // |
---|
2050 | // int p = 0; // which IS-block? p^th! |
---|
2051 | // |
---|
2052 | // if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
2053 | // p = (int)((long)(h->Data())); h=h->next; |
---|
2054 | // |
---|
2055 | // assume(p >= 0); |
---|
2056 | // |
---|
2057 | // int d, w; |
---|
2058 | // |
---|
2059 | // if( !rGetAMPos(r, p, d, w, TRUE) ) |
---|
2060 | // { |
---|
2061 | // Werror("`GetAMData([int])`: no %d^th _am block-ordering!", p); |
---|
2062 | // return TRUE; |
---|
2063 | // } |
---|
2064 | // |
---|
2065 | // assume( r->typ[d].ord_typ == ro_am ); |
---|
2066 | // assume( r->order[w] == ringorder_am ); |
---|
2067 | // |
---|
2068 | // |
---|
2069 | // const short start = r->typ[d].data.am.start; // bounds of ordering (in E) |
---|
2070 | // const short end = r->typ[d].data.am.end; |
---|
2071 | // const short len_gen = r->typ[d].data.am.len_gen; // i>len_gen: weight(gen(i)):=0 |
---|
2072 | // const int *weights = r->typ[d].data.am.weights; // pointers into wvhdl field of length (end-start+1) + len_gen |
---|
2073 | // // contents w_1,... w_n, len, mod_w_1, .. mod_w_len, 0 |
---|
2074 | // |
---|
2075 | // assume( weights == r->wvhdl[w] ); |
---|
2076 | // |
---|
2077 | // |
---|
2078 | // lists l=(lists)omAllocBin(slists_bin); |
---|
2079 | // l->Init(2); |
---|
2080 | // |
---|
2081 | // const short V = end-start+1; |
---|
2082 | // intvec* ww_vars = new intvec(V); |
---|
2083 | // intvec* ww_gens = new intvec(len_gen); |
---|
2084 | // |
---|
2085 | // for (int i = 0; i < V; i++ ) |
---|
2086 | // (*ww_vars)[i] = weights[i]; |
---|
2087 | // |
---|
2088 | // assume( weights[V] == len_gen ); |
---|
2089 | // |
---|
2090 | // for (int i = 0; i < len_gen; i++ ) |
---|
2091 | // (*ww_gens)[i] = weights[i - V - 1]; |
---|
2092 | // |
---|
2093 | // |
---|
2094 | // l->m[0].rtyp = INTVEC_CMD; |
---|
2095 | // l->m[0].data = reinterpret_cast<void *>(ww_vars); |
---|
2096 | // |
---|
2097 | // l->m[1].rtyp = INTVEC_CMD; |
---|
2098 | // l->m[1].data = reinterpret_cast<void *>(ww_gens); |
---|
2099 | // |
---|
2100 | // |
---|
2101 | // return FALSE; |
---|
2102 | // |
---|
2103 | // } |
---|
2104 | */ |
---|
2105 | |
---|
2106 | /// Returns old SyzCompLimit, can set new limit |
---|
2107 | static BOOLEAN SetInducedReferrence(leftv res, leftv h) |
---|
2108 | { |
---|
2109 | NoReturn(res); |
---|
2110 | |
---|
2111 | const ring r = currRing; |
---|
2112 | |
---|
2113 | if( !( (h!=NULL) && ( (h->Typ()==IDEAL_CMD) || (h->Typ()==MODUL_CMD))) ) |
---|
2114 | { |
---|
2115 | WerrorS("`SetInducedReferrence(<ideal/module>, [int[, int]])` expected"); |
---|
2116 | return TRUE; |
---|
2117 | } |
---|
2118 | |
---|
2119 | const ideal F = (ideal)h->Data(); ; // No copy! |
---|
2120 | h=h->next; |
---|
2121 | |
---|
2122 | int rank = 0; |
---|
2123 | |
---|
2124 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
2125 | { |
---|
2126 | rank = (int)((long)(h->Data())); h=h->next; |
---|
2127 | assume(rank >= 0); |
---|
2128 | } else |
---|
2129 | rank = id_RankFreeModule(F, r); // Starting syz-comp (1st: i+1) |
---|
2130 | |
---|
2131 | int p = 0; // which IS-block? p^th! |
---|
2132 | |
---|
2133 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
2134 | { |
---|
2135 | p = (int)((long)(h->Data())); h=h->next; |
---|
2136 | assume(p >= 0); |
---|
2137 | } |
---|
2138 | |
---|
2139 | const int posIS = rGetISPos(p, r); |
---|
2140 | |
---|
2141 | if( /*(*/ -1 == posIS /*)*/ ) |
---|
2142 | { |
---|
2143 | WerrorS("`SetInducedReferrence(<ideal/module>, [int[, int]])` called on incompatible ring (not created by 'MakeInducedSchreyerOrdering'!)"); |
---|
2144 | return TRUE; |
---|
2145 | } |
---|
2146 | |
---|
2147 | |
---|
2148 | |
---|
2149 | // F & componentWeights belong to that ordering block of currRing now: |
---|
2150 | rSetISReference(r, F, rank, p); // F will be copied! |
---|
2151 | return FALSE; |
---|
2152 | } |
---|
2153 | |
---|
2154 | |
---|
2155 | // F = ISUpdateComponents( F, V, MIN ); |
---|
2156 | // // replace gen(i) -> gen(MIN + V[i-MIN]) for all i > MIN in all terms from F! |
---|
2157 | static BOOLEAN ISUpdateComponents(leftv res, leftv h) |
---|
2158 | { |
---|
2159 | NoReturn(res); |
---|
2160 | |
---|
2161 | PrintS("ISUpdateComponents:.... \n"); |
---|
2162 | |
---|
2163 | if ((h!=NULL) && (h->Typ()==MODUL_CMD)) |
---|
2164 | { |
---|
2165 | ideal F = (ideal)h->Data(); ; // No copy! |
---|
2166 | h=h->next; |
---|
2167 | |
---|
2168 | if ((h!=NULL) && (h->Typ()==INTVEC_CMD)) |
---|
2169 | { |
---|
2170 | const intvec* const V = (const intvec* const) h->Data(); |
---|
2171 | h=h->next; |
---|
2172 | |
---|
2173 | if ((h!=NULL) && (h->Typ()==INT_CMD)) |
---|
2174 | { |
---|
2175 | const int MIN = (int)((long)(h->Data())); |
---|
2176 | |
---|
2177 | pISUpdateComponents(F, V, MIN, currRing); |
---|
2178 | return FALSE; |
---|
2179 | } |
---|
2180 | } |
---|
2181 | } |
---|
2182 | |
---|
2183 | WerrorS("`ISUpdateComponents(<module>, intvec, int)` expected"); |
---|
2184 | return TRUE; |
---|
2185 | } |
---|
2186 | |
---|
2187 | |
---|
2188 | /// NF using length |
---|
2189 | static BOOLEAN reduce_syz(leftv res, leftv h) |
---|
2190 | { |
---|
2191 | // const ring r = currRing; |
---|
2192 | |
---|
2193 | if ( !( (h!=NULL) && (h->Typ()==VECTOR_CMD || h->Typ()==POLY_CMD) ) ) |
---|
2194 | { |
---|
2195 | WerrorS("`reduce_syz(<poly/vector>!, <ideal/module>, <int>, [int])` expected"); |
---|
2196 | return TRUE; |
---|
2197 | } |
---|
2198 | |
---|
2199 | res->rtyp = h->Typ(); |
---|
2200 | const poly v = reinterpret_cast<poly>(h->Data()); |
---|
2201 | h=h->next; |
---|
2202 | |
---|
2203 | if ( !( (h!=NULL) && (h->Typ()==MODUL_CMD || h->Typ()==IDEAL_CMD ) ) ) |
---|
2204 | { |
---|
2205 | WerrorS("`reduce_syz(<poly/vector>, <ideal/module>!, <int>, [int])` expected"); |
---|
2206 | return TRUE; |
---|
2207 | } |
---|
2208 | |
---|
2209 | assumeStdFlag(h); |
---|
2210 | const ideal M = reinterpret_cast<ideal>(h->Data()); h=h->next; |
---|
2211 | |
---|
2212 | |
---|
2213 | if ( !( (h!=NULL) && (h->Typ()== INT_CMD) ) ) |
---|
2214 | { |
---|
2215 | WerrorS("`reduce_syz(<poly/vector>, <ideal/module>, <int>!, [int])` expected"); |
---|
2216 | return TRUE; |
---|
2217 | } |
---|
2218 | |
---|
2219 | const int iSyzComp = (int)((long)(h->Data())); h=h->next; |
---|
2220 | |
---|
2221 | int iLazyReduce = 0; |
---|
2222 | |
---|
2223 | if ( ( (h!=NULL) && (h->Typ()== INT_CMD) ) ) |
---|
2224 | iLazyReduce = (int)((long)(h->Data())); |
---|
2225 | |
---|
2226 | res->data = (void *)kNFLength(M, currQuotient, v, iSyzComp, iLazyReduce); // NOTE: currRing :( |
---|
2227 | return FALSE; |
---|
2228 | } |
---|
2229 | |
---|
2230 | |
---|
2231 | /// Get raw syzygies (idPrepare) |
---|
2232 | static BOOLEAN idPrepare(leftv res, leftv h) |
---|
2233 | { |
---|
2234 | // extern int rGetISPos(const int p, const ring r); |
---|
2235 | |
---|
2236 | const ring r = currRing; |
---|
2237 | |
---|
2238 | const bool isSyz = rIsSyzIndexRing(r); |
---|
2239 | const int posIS = rGetISPos(0, r); |
---|
2240 | |
---|
2241 | |
---|
2242 | if ( !( (h!=NULL) && (h->Typ()==MODUL_CMD) && (h->Data() != NULL) ) ) |
---|
2243 | { |
---|
2244 | WerrorS("`idPrepare(<module>)` expected"); |
---|
2245 | return TRUE; |
---|
2246 | } |
---|
2247 | |
---|
2248 | const ideal I = reinterpret_cast<ideal>(h->Data()); |
---|
2249 | |
---|
2250 | assume( I != NULL ); |
---|
2251 | idTest(I); |
---|
2252 | |
---|
2253 | int iComp = -1; |
---|
2254 | |
---|
2255 | h=h->next; |
---|
2256 | if ( (h!=NULL) && (h->Typ()==INT_CMD) ) |
---|
2257 | { |
---|
2258 | iComp = (int)((long)(h->Data())); |
---|
2259 | } else |
---|
2260 | { |
---|
2261 | if( (!isSyz) && (-1 == posIS) ) |
---|
2262 | { |
---|
2263 | WerrorS("`idPrepare(<...>)` called on incompatible ring (not created by 'MakeSyzCompOrdering' or 'MakeInducedSchreyerOrdering'!)"); |
---|
2264 | return TRUE; |
---|
2265 | } |
---|
2266 | |
---|
2267 | if( isSyz ) |
---|
2268 | iComp = rGetCurrSyzLimit(r); |
---|
2269 | else |
---|
2270 | iComp = id_RankFreeModule(r->typ[posIS].data.is.F, r); // ; |
---|
2271 | } |
---|
2272 | |
---|
2273 | assume(iComp >= 0); |
---|
2274 | |
---|
2275 | |
---|
2276 | intvec* w = reinterpret_cast<intvec *>(atGet(h, "isHomog", INTVEC_CMD)); |
---|
2277 | tHomog hom = testHomog; |
---|
2278 | |
---|
2279 | // int add_row_shift = 0; |
---|
2280 | // |
---|
2281 | if (w!=NULL) |
---|
2282 | { |
---|
2283 | w = ivCopy(w); |
---|
2284 | // add_row_shift = ww->min_in(); |
---|
2285 | // |
---|
2286 | // (*ww) -= add_row_shift; |
---|
2287 | // |
---|
2288 | // if (idTestHomModule(I, currQuotient, ww)) |
---|
2289 | // { |
---|
2290 | hom = isHomog; |
---|
2291 | // w = ww; |
---|
2292 | // } |
---|
2293 | // else |
---|
2294 | // { |
---|
2295 | // //WarnS("wrong weights"); |
---|
2296 | // delete ww; |
---|
2297 | // w = NULL; |
---|
2298 | // hom=testHomog; |
---|
2299 | // } |
---|
2300 | } |
---|
2301 | |
---|
2302 | |
---|
2303 | // computes syzygies of h1, |
---|
2304 | // works always in a ring with ringorder_s |
---|
2305 | // NOTE: rSetSyzComp(syzcomp) should better be called beforehand |
---|
2306 | // ideal idPrepare (ideal h1, tHomog hom, int syzcomp, intvec **w); |
---|
2307 | |
---|
2308 | ideal J = // idPrepare( I, hom, iComp, &w); |
---|
2309 | kStd(I, currQuotient, hom, &w, NULL, iComp); |
---|
2310 | |
---|
2311 | idTest(J); |
---|
2312 | |
---|
2313 | if (w!=NULL) |
---|
2314 | atSet(res, omStrDup("isHomog"), w, INTVEC_CMD); |
---|
2315 | // if (w!=NULL) delete w; |
---|
2316 | |
---|
2317 | res->rtyp = MODUL_CMD; |
---|
2318 | res->data = reinterpret_cast<void *>(J); |
---|
2319 | return FALSE; |
---|
2320 | } |
---|
2321 | |
---|
2322 | /// Get raw syzygies (idPrepare) |
---|
2323 | static BOOLEAN _p_Content(leftv res, leftv h) |
---|
2324 | { |
---|
2325 | if ( !( (h!=NULL) && (h->Typ()==POLY_CMD) && (h->Data() != NULL) ) ) |
---|
2326 | { |
---|
2327 | WerrorS("`p_Content(<poly-var>)` expected"); |
---|
2328 | return TRUE; |
---|
2329 | } |
---|
2330 | |
---|
2331 | |
---|
2332 | const poly p = reinterpret_cast<poly>(h->Data()); |
---|
2333 | |
---|
2334 | |
---|
2335 | pTest(p); pWrite(p); PrintLn(); |
---|
2336 | |
---|
2337 | |
---|
2338 | p_Content( p, currRing); |
---|
2339 | |
---|
2340 | pTest(p); |
---|
2341 | pWrite(p); PrintLn(); |
---|
2342 | |
---|
2343 | NoReturn(res); |
---|
2344 | return FALSE; |
---|
2345 | } |
---|
2346 | |
---|
2347 | static BOOLEAN _m2_end(leftv res, leftv h) |
---|
2348 | { |
---|
2349 | int ret = 0; |
---|
2350 | |
---|
2351 | if ( (h!=NULL) && (h->Typ()!=INT_CMD) ) |
---|
2352 | { |
---|
2353 | WerrorS("`m2_end([<int>])` expected"); |
---|
2354 | return TRUE; |
---|
2355 | } |
---|
2356 | ret = (int)(long)(h->Data()); |
---|
2357 | |
---|
2358 | m2_end( ret ); |
---|
2359 | |
---|
2360 | NoReturn(res); |
---|
2361 | return FALSE; |
---|
2362 | } |
---|
2363 | |
---|
2364 | |
---|
2365 | |
---|
2366 | END_NAMESPACE |
---|
2367 | |
---|
2368 | |
---|
2369 | int SI_MOD_INIT(syzextra)(SModulFunctions* psModulFunctions) |
---|
2370 | { |
---|
2371 | #define ADD0(A,B,C,D,E) A(B, (char*)C, D, E) |
---|
2372 | // #define ADD(A,B,C,D,E) ADD0(iiAddCproc, "", C, D, E) |
---|
2373 | #define ADD(A,B,C,D,E) ADD0(A->iiAddCproc, B, C, D, E) |
---|
2374 | ADD(psModulFunctions, currPack->libname, "ClearContent", FALSE, _ClearContent); |
---|
2375 | ADD(psModulFunctions, currPack->libname, "ClearDenominators", FALSE, _ClearDenominators); |
---|
2376 | |
---|
2377 | ADD(psModulFunctions, currPack->libname, "m2_end", FALSE, _m2_end); |
---|
2378 | |
---|
2379 | ADD(psModulFunctions, currPack->libname, "DetailedPrint", FALSE, DetailedPrint); |
---|
2380 | ADD(psModulFunctions, currPack->libname, "leadmonomial", FALSE, leadmonom); |
---|
2381 | ADD(psModulFunctions, currPack->libname, "leadcomp", FALSE, leadcomp); |
---|
2382 | ADD(psModulFunctions, currPack->libname, "leadrawexp", FALSE, leadrawexp); |
---|
2383 | |
---|
2384 | ADD(psModulFunctions, currPack->libname, "ISUpdateComponents", FALSE, ISUpdateComponents); |
---|
2385 | ADD(psModulFunctions, currPack->libname, "SetInducedReferrence", FALSE, SetInducedReferrence); |
---|
2386 | ADD(psModulFunctions, currPack->libname, "GetInducedData", FALSE, GetInducedData); |
---|
2387 | ADD(psModulFunctions, currPack->libname, "SetSyzComp", FALSE, SetSyzComp); |
---|
2388 | ADD(psModulFunctions, currPack->libname, "MakeInducedSchreyerOrdering", FALSE, MakeInducedSchreyerOrdering); |
---|
2389 | ADD(psModulFunctions, currPack->libname, "MakeSyzCompOrdering", FALSE, MakeSyzCompOrdering); |
---|
2390 | |
---|
2391 | ADD(psModulFunctions, currPack->libname, "ProfilerStart", FALSE, _ProfilerStart); ADD(psModulFunctions, currPack->libname, "ProfilerStop", FALSE, _ProfilerStop ); |
---|
2392 | |
---|
2393 | ADD(psModulFunctions, currPack->libname, "noop", FALSE, noop); |
---|
2394 | ADD(psModulFunctions, currPack->libname, "idPrepare", FALSE, idPrepare); |
---|
2395 | ADD(psModulFunctions, currPack->libname, "reduce_syz", FALSE, reduce_syz); |
---|
2396 | |
---|
2397 | ADD(psModulFunctions, currPack->libname, "p_Content", FALSE, _p_Content); |
---|
2398 | |
---|
2399 | ADD(psModulFunctions, currPack->libname, "Tail", FALSE, Tail); |
---|
2400 | |
---|
2401 | ADD(psModulFunctions, currPack->libname, "ComputeLeadingSyzygyTerms", FALSE, ComputeLeadingSyzygyTerms); |
---|
2402 | ADD(psModulFunctions, currPack->libname, "Compute2LeadingSyzygyTerms", FALSE, Compute2LeadingSyzygyTerms); |
---|
2403 | |
---|
2404 | ADD(psModulFunctions, currPack->libname, "Sort_c_ds", FALSE, Sort_c_ds); |
---|
2405 | ADD(psModulFunctions, currPack->libname, "FindReducer", FALSE, FindReducer); |
---|
2406 | |
---|
2407 | |
---|
2408 | ADD(psModulFunctions, currPack->libname, "ReduceTerm", FALSE, ReduceTerm); |
---|
2409 | ADD(psModulFunctions, currPack->libname, "TraverseTail", FALSE, TraverseTail); |
---|
2410 | |
---|
2411 | |
---|
2412 | ADD(psModulFunctions, currPack->libname, "SchreyerSyzygyNF", FALSE, SchreyerSyzygyNF); |
---|
2413 | |
---|
2414 | // ADD(psModulFunctions, currPack->libname, "GetAMData", FALSE, GetAMData); |
---|
2415 | |
---|
2416 | // ADD(psModulFunctions, currPack->libname, "", FALSE, ); |
---|
2417 | |
---|
2418 | #undef ADD |
---|
2419 | return 0; |
---|
2420 | } |
---|
2421 | |
---|
2422 | #ifndef EMBED_PYTHON |
---|
2423 | extern "C" { |
---|
2424 | int mod_init(SModulFunctions* psModulFunctions) |
---|
2425 | { |
---|
2426 | return SI_MOD_INIT(syzextra)(psModulFunctions); |
---|
2427 | } |
---|
2428 | } |
---|
2429 | #endif |
---|