1 | /* |
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2 | * gfanlib_zfan.h |
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3 | * |
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4 | * Created on: Nov 17, 2010 |
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5 | * Author: anders |
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6 | */ |
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7 | |
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8 | #ifndef GFANLIB_ZFAN_H_ |
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9 | #define GFANLIB_ZFAN_H_ |
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10 | |
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11 | /* |
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12 | * gfanlib_polyhedralfan.h |
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13 | * |
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14 | * Created on: Nov 16, 2010 |
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15 | * Author: anders |
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16 | */ |
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17 | |
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18 | #ifndef GFANLIB_ZFAN_H_INCLUDED |
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19 | #define GFANLIB_ZFAN_H_INCLUDED |
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20 | |
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21 | #include <set> |
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22 | #include <list> |
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23 | #include <map> |
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24 | #include "gfanlib_polyhedralfan.h" |
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25 | #include "gfanlib_symmetriccomplex.h" |
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26 | |
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27 | namespace gfan{ |
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28 | |
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29 | /** |
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30 | * This class represents a Polyhedral fan with the combined features of a SymmetricComplex, and |
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31 | * a PolyhedralFan (which we regards as some collection of cones of the fan with the property that every cone |
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32 | * of the fan is a face of these (up to action by the group)). |
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33 | * It is important to distinguis between the cones of the collection, the cones of the fan as a mathematical object, and the orbits of cones of the fan. |
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34 | * |
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35 | * |
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36 | * TEMPLATES SHOULD BE HIDDEN |
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37 | */ |
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38 | class ZFan |
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39 | { |
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40 | mutable PolyhedralFan *coneCollection; |
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41 | mutable SymmetricComplex *complex; |
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42 | mutable std::vector<std::vector<IntVector > > cones; |
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43 | mutable std::vector<std::vector<IntVector > > maximalCones; |
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44 | mutable std::vector<std::vector<Integer> > multiplicities; // for maximal cones only |
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45 | mutable std::vector<std::vector<IntVector > > coneOrbits; |
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46 | mutable std::vector<std::vector<IntVector > > maximalConeOrbits; |
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47 | mutable std::vector<std::vector<Integer> > multiplicitiesOrbits; // for maximal cones orbits only |
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48 | |
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49 | |
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50 | // SymmetryGroup sym; |
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51 | |
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52 | /** |
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53 | * Functions that makes the symmetric complex invalid: |
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54 | * insert() and construction |
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55 | * |
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56 | * Functions that make the cone collection invalid: |
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57 | * readFan() |
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58 | * |
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59 | */ |
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60 | void ensureConeCollection()const; |
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61 | void ensureComplex()const; |
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62 | void killComplex()const; |
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63 | public: |
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64 | std::vector<std::vector<IntVector> > &table(bool orbit, bool maximal)const; |
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65 | ~ZFan(); |
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66 | ZFan(): |
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67 | coneCollection(0), |
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68 | complex(0) |
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69 | {} |
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70 | ZFan(ZFan const& f); |
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71 | /** |
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72 | * |
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73 | * To read from string, do the following: |
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74 | * std::string test="TEST"; |
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75 | * std::istringstream s(test); |
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76 | * ZFan G(s); |
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77 | * |
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78 | */ |
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79 | ZFan(std::istream &f); |
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80 | ZFan& operator=(ZFan const &f); |
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81 | /** |
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82 | * Creates an empty fan in the ambient space of dimension n. |
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83 | * It is a mistake to: |
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84 | * specify a negative ambientDimension. |
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85 | */ |
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86 | ZFan(int ambientDimension); |
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87 | /** |
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88 | * Creates an empty fan in the ambient space with dimension equal to the number of elements being permuted by the group. |
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89 | * The fan will have the symmmetries given by sym_ associated. |
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90 | */ |
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91 | ZFan(SymmetryGroup const &sym_); |
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92 | /** |
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93 | * Creates the fan in dimension n consisting of the n-dimensional space. |
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94 | */ |
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95 | static ZFan fullFan(int n); |
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96 | /** |
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97 | * Creates the full space as a fan in the ambient space with dimension equal to the number of elements being permuted by the group. |
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98 | * The fan will have the symmetries given by sym_ associated. |
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99 | */ |
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100 | static ZFan fullFan(SymmetryGroup const &sym_); |
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101 | /** |
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102 | * Reads from stream |
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103 | */ |
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104 | // static ZFan readFan(string const &filename, bool onlyMaximal=true, IntegerVector *w=0, set<int> const *conesIndice=0, SymmetryGroup const *sym=0, bool readCompressedIfNotSym=false); |
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105 | /** |
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106 | * Writes to string |
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107 | */ |
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108 | std::string toString(int flags=0)const; |
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109 | /** |
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110 | * Returns the dimension of the ambient space. |
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111 | */ |
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112 | int getAmbientDimension()const; |
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113 | /** |
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114 | * Returns the largest dimension of a cone in the fan. If the fan is empty, then -1 is returned. |
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115 | */ |
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116 | int getDimension()const; |
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117 | /** |
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118 | * Returns the smallest codimension of a cone in the fan. If the fan is empty, then -1 is returned. |
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119 | */ |
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120 | int getCodimension()const; |
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121 | /** |
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122 | * Returns the dimension of the lineality space of the fan. Notice that the lineality space of the |
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123 | * empty fan is the ambient space. |
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124 | */ |
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125 | int getLinealityDimension()const; |
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126 | /** |
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127 | * Returns the f-Vector of the fan. |
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128 | */ |
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129 | ZVector getFVector()const; |
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130 | /** |
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131 | * Returns true, if the fan is simplicial. False otherwise. |
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132 | */ |
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133 | bool isSimplicial()const; |
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134 | /** |
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135 | * Returns true, if the fan is pure. False otherwise. |
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136 | */ |
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137 | bool isPure()const; |
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138 | /** |
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139 | * Inserts c into the fan. |
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140 | * It is a mistake to insert a cone which live in a space of the wrong dimension. |
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141 | * It is a mistake to insert a cone which does not result in a fan satisfying the nice intersection properties of a fan. |
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142 | * However, the second mistake will not cause the code to crash, but only give undefined results. |
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143 | * |
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144 | * The method insert() is expensive in the sense that calling it may require part of the representation |
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145 | * of the fan to be recomputed. The recomputation only happens on request. Therefore it is expensive |
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146 | * to have alternating calls to for example "insert()" and "numberOfConesOfDimension()". |
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147 | * |
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148 | * Notice that insert() has the effect of reordering cones, orbits and rays of the fan. |
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149 | */ |
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150 | void insert(ZCone const &c); |
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151 | void remove(ZCone const &c); |
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152 | /** |
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153 | * Returns the number of cones of dimension d in the collection. |
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154 | */ |
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155 | int numberOfConesOfDimension(int d, bool orbit, bool maximal)const; |
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156 | int numberOfConesInCollection()const; |
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157 | /** |
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158 | * Returns the cone in the collection given by the index. It is a mistake to specify an index which |
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159 | * is out of range. |
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160 | */ |
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161 | // ZCone const &getConeInCollection(int index)const; |
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162 | /** |
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163 | * Returns the cone in the cone of the fan |
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164 | */ |
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165 | ZCone getCone(int dimension, int index, bool orbit, bool maximal)const; |
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166 | IntVector getConeIndices(int dimension, int index, bool orbit, bool maximal)const; |
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167 | |
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168 | // ZFan expand()const; |
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169 | // SymmetryGorup recoverAllSymmetries()const; |
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170 | |
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171 | /* typedef PolyhedralConeList::const_iterator coneIterator; |
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172 | PolyhedralFan::coneIterator conesBegin()const; |
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173 | PolyhedralFan::coneIterator conesEnd()const; |
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174 | */ |
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175 | |
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176 | }; |
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177 | |
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178 | } |
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179 | |
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180 | #endif |
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181 | |
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182 | #endif /* GFANLIB_ZFAN_H_ */ |
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