1 | /*****************************************************************************\ |
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2 | * Computer Algebra System SINGULAR |
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3 | \*****************************************************************************/ |
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4 | /** @file facFqFactorizeUtil.h |
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5 | * |
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6 | * This file provides utility functions for multivariate factorization |
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7 | * |
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8 | * @author Martin Lee |
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9 | * |
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10 | * @internal @version \$Id$ |
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11 | * |
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12 | **/ |
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13 | /*****************************************************************************/ |
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14 | |
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15 | #ifndef FAC_FQ_FACTORIZE_UTIL_H |
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16 | #define FAC_FQ_FACTORIZE_UTIL_H |
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17 | |
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18 | // #include "config.h" |
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19 | #include "canonicalform.h" |
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20 | #include "cf_map.h" |
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21 | |
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22 | /// append @a factors2 to @a factors1 and decompress |
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23 | /// |
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24 | static inline |
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25 | void decompressAppend (CFList& factors1, ///< [in,out] a list of polys, |
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26 | ///< returns @a factors2 appended |
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27 | ///< to it and everything is |
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28 | ///< decompressed |
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29 | const CFList& factors2, ///< [in] a list of polys |
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30 | const CFMap& N ///< [in] a map |
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31 | ) |
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32 | { |
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33 | for (CFListIterator i= factors1; i.hasItem(); i++) |
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34 | i.getItem()= N (i.getItem()); |
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35 | for (CFListIterator i= factors2; i.hasItem(); i++) |
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36 | factors1.append (N (i.getItem())); |
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37 | } |
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38 | |
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39 | |
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40 | /// swap elements in @a factors2 and append them to @a factors1 |
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41 | /// |
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42 | void appendSwap (CFList& factors1, ///< [in,out] a list of polys, |
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43 | ///< returns swapped elements of @a |
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44 | ///< factors2 appended to it |
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45 | const CFList& factors2, ///< [in] a list of polys |
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46 | const int swapLevel1, ///< [in] level of variable to be |
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47 | ///< swapped with x, 0 if no swapping |
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48 | const int swapLevel2, ///< [in] level of variable to be |
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49 | ///< swapped with x, 0 if no swapping |
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50 | const Variable& x ///< [in] a variable |
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51 | ); |
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52 | |
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53 | /// swap elements in @a factors |
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54 | void swap (CFList& factors, ///< [in] a list of polys, returns swapped |
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55 | ///< elements of factors |
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56 | const int swapLevel1, ///< [in] level of variable to be |
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57 | ///< swapped with x, 0 if no swapping |
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58 | const int swapLevel2, ///< [in] level of variable to be |
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59 | ///< swapped with x, 0 if no swapping |
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60 | const Variable& x ///< [in] a variable |
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61 | ); |
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62 | |
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63 | /// swap elements of @a factors2, append them to @a factors1 and decompress |
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64 | void appendSwapDecompress ( |
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65 | CFList& factors1, ///< [in,out] a list of polys, |
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66 | ///< returns swapped elements of @a |
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67 | ///< factors2 appended to it and |
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68 | ///< everything is decompressed |
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69 | const CFList& factors2, ///< [in] a list of polys |
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70 | const CFMap& N, ///< [in] a map |
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71 | const int swapLevel, ///< [in] level of variable to be |
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72 | ///< swapped with x, 0 if no swapping |
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73 | const Variable& x ///< [in] a variable |
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74 | ); |
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75 | |
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76 | /// swap elements of @a factors2, append them to @a factors1 and decompress |
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77 | void appendSwapDecompress ( |
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78 | CFList& factors1, ///< [in,out] a list of polys, |
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79 | ///< returns swapped elements of @a |
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80 | ///< factors2 appended to it and |
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81 | ///< everything is decompressed |
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82 | const CFList& factors2, ///< [in] a list of polys |
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83 | const CFMap& N, ///< [in] a map |
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84 | const int swapLevel1, ///< [in] level of variable to be |
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85 | ///< swapped with x, 0 if no swapping |
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86 | const int swapLevel2, ///< [in] level of variable to be |
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87 | ///< swapped with x, 0 if no swapping |
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88 | const Variable& x ///< [in] a variable |
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89 | ); |
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90 | |
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91 | |
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92 | /// compute lifting bounds |
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93 | /// |
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94 | /// @return @a liftingBounds returns an array containing the lift bounds for A |
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95 | int* liftingBounds (const CanonicalForm& A, ///< [in] a compressed poly |
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96 | const int& bivarLiftBound ///< [in] lift bound for |
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97 | ///< @a biFactorizer() |
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98 | ); |
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99 | |
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100 | /// shift evaluation point to zero |
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101 | /// @return @a shift2Zero returns @a F shifted by @a evaluation s.t. 0 is a |
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102 | /// valid evaluation point |
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103 | /// @sa evalPoints(), reverseShift() |
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104 | CanonicalForm |
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105 | shift2Zero (const CanonicalForm& F, ///< [in] a compressed poly |
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106 | CFList& Feval, ///< [in,out] an empty list, returns |
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107 | ///< @a F successively evaluated |
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108 | ///< at 0 |
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109 | const CFList& evaluation,///< [in] a valid evaluation point |
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110 | int l= 2 ///< [in] level at which the evaluation |
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111 | ///< starts |
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112 | ); |
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113 | |
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114 | /// reverse shifting the evaluation point to zero |
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115 | /// |
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116 | /// @return @a reverseShift returns a poly whose shift to zero is reversed |
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117 | /// @sa shift2Zero(), evalPoints() |
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118 | CanonicalForm reverseShift (const CanonicalForm& F, ///< [in] a compressed poly |
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119 | const CFList& evaluation,///< [in] a valid |
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120 | ///< evaluation point |
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121 | int l= 2 ///< [in] level at which |
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122 | ///< the evaluation starts |
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123 | ); |
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124 | |
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125 | #endif |
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126 | /* FAC_FQ_FACTORIZE_UTIL_H */ |
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127 | |
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