1 | #ifndef MPR_BASE_H |
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2 | #define MPR_BASE_H |
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3 | /**************************************** |
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4 | * Computer Algebra System SINGULAR * |
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5 | ****************************************/ |
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6 | /* $Id: mpr_base.h,v 1.2 2005-07-28 09:56:58 Singular Exp $ */ |
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7 | |
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8 | /* |
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9 | * ABSTRACT - multipolynomial resultants - resultant matrices |
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10 | * ( sparse, dense, u-resultant solver ) |
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11 | */ |
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12 | |
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13 | #include "mpr_numeric.h" |
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14 | |
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15 | #define SNONE -1 |
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16 | #define SFREE -2 |
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17 | |
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18 | //%s |
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19 | //-> class resMatrixBase |
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20 | /** |
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21 | * Base class for sparse and dense u-Resultant computation |
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22 | */ |
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23 | class resMatrixBase |
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24 | { |
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25 | public: |
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26 | /* state of the resultant */ |
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27 | enum IStateType { none, ready, notInit, fatalError, sparseError }; |
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28 | |
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29 | resMatrixBase() : istate(notInit), totDeg(0) {} |
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30 | virtual ~resMatrixBase() {} |
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31 | |
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32 | virtual const ideal getMatrix() { return NULL; } |
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33 | virtual const ideal getSubMatrix() { return NULL; } |
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34 | |
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35 | virtual const poly getUDet( const number* evpoint ) { return NULL; } |
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36 | |
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37 | virtual const number getDetAt( const number* evpoint ) { return NULL; } |
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38 | virtual const number getSubDet() { return NULL; } |
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39 | |
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40 | virtual const long getDetDeg() const { return totDeg; } |
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41 | |
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42 | virtual const IStateType initState() const { return istate; } |
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43 | |
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44 | protected: |
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45 | IStateType istate; |
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46 | |
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47 | ideal gls; |
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48 | int linPolyS; |
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49 | ring sourceRing; |
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50 | |
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51 | int totDeg; |
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52 | |
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53 | private: |
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54 | /* disables the copy constructor */ |
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55 | resMatrixBase( const resMatrixBase & ); |
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56 | }; |
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57 | //<- |
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58 | |
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59 | //-> class uResultant |
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60 | /** |
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61 | * Base class for solving 0-dim poly systems using u-resultant |
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62 | */ |
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63 | class uResultant |
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64 | { |
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65 | public: |
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66 | enum resMatType { none, sparseResMat, denseResMat }; |
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67 | |
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68 | uResultant( const ideal _gls, const resMatType _rmt= sparseResMat, BOOLEAN extIdeal= true ); |
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69 | ~uResultant(); |
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70 | |
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71 | poly interpolateDense( const number subDetVal= NULL ); |
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72 | |
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73 | /* Interpolates n+1 determinat polys for coeff specializations. */ |
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74 | rootContainer ** interpolateDenseSP( BOOLEAN matchUp= false, const number subDetVal= NULL ); |
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75 | |
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76 | /* Uses Bareiss */ |
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77 | rootContainer ** specializeInU( BOOLEAN matchUp= false, const number subDetVal= NULL ); |
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78 | |
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79 | resMatrixBase * accessResMat() { return resMat; } |
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80 | |
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81 | private: |
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82 | /* deactivated copy constructor */ |
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83 | uResultant( const uResultant & ); |
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84 | |
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85 | ideal extendIdeal( const ideal gls, poly linPoly, const resMatType rmt ); |
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86 | poly linearPoly( const resMatType rmt ); |
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87 | int nextPrime( const int p ); |
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88 | |
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89 | ideal gls; |
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90 | int n; |
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91 | |
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92 | resMatType rmt; // sparse or dense resultant matrix ? |
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93 | resMatrixBase *resMat; // pointer to base resultant matrix class |
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94 | }; |
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95 | //<- |
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96 | uResultant::resMatType determineMType( int imtype ); |
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97 | enum mprState |
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98 | { |
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99 | mprOk, |
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100 | mprWrongRType, |
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101 | mprHasOne, |
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102 | mprInfNumOfVars, |
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103 | mprNotReduced, |
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104 | mprNotZeroDim, |
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105 | mprNotHomog, |
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106 | mprUnSupField |
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107 | }; |
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108 | |
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109 | mprState mprIdealCheck( const ideal theIdeal, |
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110 | const char * name, |
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111 | uResultant::resMatType mtype, |
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112 | BOOLEAN rmatrix= false ); |
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113 | |
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114 | ideal loNewtonPolytope( const ideal id ); |
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115 | |
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116 | extern size_t gmp_output_digits; |
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117 | //%e |
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118 | #endif /*MPR_BASE_H*/ |
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119 | |
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120 | // local Variables: *** |
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121 | // folded-file: t *** |
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122 | // compile-command-2: "make install" *** |
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123 | // compile-command: "make installg" *** |
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124 | // End: *** |
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