[493c477] | 1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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[341696] | 2 | /* $Id$ */ |
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[2dd068] | 3 | |
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[e4fe2b] | 4 | #include "config.h" |
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[59a678c] | 5 | |
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[2dd068] | 6 | #include <string.h> |
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| 7 | |
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[650f2d8] | 8 | #include "cf_assert.h" |
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[175e355] | 9 | |
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[2dd068] | 10 | #include "cf_defs.h" |
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| 11 | #include "variable.h" |
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| 12 | #include "canonicalform.h" |
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| 13 | #include "cf_factory.h" |
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| 14 | #include "int_poly.h" |
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| 15 | #include "cf_iter.h" |
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| 16 | |
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| 17 | class ext_entry |
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| 18 | { |
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| 19 | private: |
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| 20 | InternalPoly * _mipo; |
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| 21 | bool _reduce; |
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| 22 | public: |
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| 23 | ext_entry () : _mipo(0), _reduce(false) {} |
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| 24 | ext_entry ( InternalPoly * mipoly, bool reduce ) : _mipo(mipoly), _reduce(reduce) {}; |
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| 25 | ext_entry ( const ext_entry & e ) : _mipo(e._mipo), _reduce(e._reduce) {} |
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| 26 | ~ext_entry () {}; |
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| 27 | ext_entry & operator= ( const ext_entry & e ) |
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| 28 | { |
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[806c18] | 29 | if ( this != &e ) { |
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| 30 | _mipo = e._mipo; |
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| 31 | _reduce = e._reduce; |
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| 32 | } |
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| 33 | return *this; |
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[2dd068] | 34 | } |
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| 35 | InternalPoly * mipo () { return _mipo; } |
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| 36 | void setmipo( InternalPoly * p ) { _mipo = p; } |
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| 37 | bool & reduce () { return _reduce; } |
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| 38 | }; |
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| 39 | |
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| 40 | static ext_entry * algextensions = 0; |
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| 41 | static char * var_names = 0; |
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| 42 | static char * var_names_ext = 0; |
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| 43 | static char default_name = 'v'; |
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| 44 | static char default_name_ext = 'a'; |
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| 45 | |
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| 46 | Variable::Variable( int l, bool flag ) : _level(l) |
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| 47 | { |
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| 48 | ASSERT( flag, "illegal level" ); |
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| 49 | } |
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[175e355] | 50 | |
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[2dd068] | 51 | Variable::Variable( int l ) : _level(l) |
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| 52 | { |
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| 53 | ASSERT( l > 0 && l != LEVELQUOT, "illegal level" ); |
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| 54 | } |
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[175e355] | 55 | |
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[2dd068] | 56 | Variable::Variable( char name ) |
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| 57 | { |
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| 58 | bool isext = false; |
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| 59 | int n, i; |
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| 60 | if ( var_names_ext != 0 ) { |
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[806c18] | 61 | n = strlen( var_names_ext ); |
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| 62 | i = 1; |
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| 63 | while ( i < n && var_names_ext[i] != name ) i++; |
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| 64 | if ( i < n ) { |
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| 65 | _level = -i; |
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| 66 | isext = true; |
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| 67 | } |
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[2dd068] | 68 | } |
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| 69 | if ( ! isext ) { |
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[806c18] | 70 | if ( var_names == 0 ) { |
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| 71 | var_names = new char [3]; |
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| 72 | var_names[0] = '@'; |
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| 73 | var_names[1] = name; |
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| 74 | var_names[2] = '\0'; |
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| 75 | _level = 1; |
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| 76 | } |
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| 77 | else { |
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| 78 | n = strlen( var_names ); |
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| 79 | i = 1; |
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| 80 | while ( i < n && var_names[i] != name ) i++; |
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| 81 | if ( i < n ) |
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| 82 | _level = i; |
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| 83 | else { |
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| 84 | ASSERT( name != '@', "illegal variable name" ); |
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| 85 | char * newvarnames = new char [n+2]; |
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| 86 | for ( i = 0; i < n; i++ ) |
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| 87 | newvarnames[i] = var_names[i]; |
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| 88 | newvarnames[n] = name; |
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| 89 | newvarnames[n+1] = 0; |
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| 90 | delete [] var_names; |
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| 91 | var_names = newvarnames; |
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| 92 | _level = n; |
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| 93 | } |
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| 94 | } |
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[2dd068] | 95 | } |
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| 96 | } |
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| 97 | |
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| 98 | Variable::Variable( int l, char name ) : _level(l) |
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| 99 | { |
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| 100 | ASSERT( l > 0 && l != LEVELQUOT, "illegal level" ); |
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| 101 | int n; |
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[59a678c] | 102 | if ( (n = (var_names == 0 ? 0 : strlen( var_names ))) <= l ) { |
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[806c18] | 103 | char * newvarnames = new char [l+2]; |
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| 104 | int i; |
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| 105 | for ( i = 0; i < n; i++ ) |
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| 106 | newvarnames[i] = var_names[i]; |
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| 107 | for ( i = n; i < l; i++ ) |
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| 108 | newvarnames[i] = '@'; |
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| 109 | newvarnames[l] = name; |
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| 110 | newvarnames[l+1] = 0; |
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| 111 | delete [] var_names; |
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| 112 | var_names = newvarnames; |
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[2dd068] | 113 | } |
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| 114 | else { |
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[806c18] | 115 | ASSERT( var_names[l] == '@', "illegal name" ); |
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| 116 | var_names[l] = name; |
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[2dd068] | 117 | } |
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| 118 | } |
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| 119 | |
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| 120 | char |
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| 121 | Variable::name() const |
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| 122 | { |
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[59a678c] | 123 | if ( _level > 0 && _level < (int)strlen( var_names ) ) |
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[806c18] | 124 | return( var_names[_level] ); |
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[59a678c] | 125 | else if ( _level < 0 && -_level < (int)strlen( var_names_ext ) ) |
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[806c18] | 126 | return( var_names_ext[-_level] ); |
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[2dd068] | 127 | else |
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[806c18] | 128 | return '@'; |
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[2dd068] | 129 | } |
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| 130 | |
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[175e355] | 131 | #ifndef NOSTREAMIO |
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[181148] | 132 | OSTREAM & operator << ( OSTREAM & os, const Variable & v ) |
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[2dd068] | 133 | { |
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| 134 | if ( v._level == LEVELBASE ) |
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[806c18] | 135 | os << "1"; |
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[2dd068] | 136 | else { |
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[806c18] | 137 | char * vn = ( v._level > 0 ) ? var_names : var_names_ext; |
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| 138 | char dn = ( v._level > 0 ) ? default_name : default_name_ext; |
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| 139 | int l = v._level; |
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| 140 | |
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| 141 | if ( l < 0 ) l = -l; |
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| 142 | if ( (vn == 0) || ((int)strlen( vn ) <= l) ) |
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| 143 | os << dn << "_" << l; |
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| 144 | else if ( vn[l] == '@' ) |
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| 145 | os << dn << "_" << l; |
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| 146 | else |
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| 147 | os << vn[l]; |
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[2dd068] | 148 | } |
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| 149 | return os; |
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| 150 | } |
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[175e355] | 151 | #endif /* NOSTREAMIO */ |
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[2dd068] | 152 | |
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| 153 | static CanonicalForm conv2mipo ( const CanonicalForm & mipo, const Variable alpha ) |
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| 154 | { |
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| 155 | CanonicalForm result; |
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| 156 | for ( CFIterator i = mipo; i.hasTerms(); i++ ) |
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[806c18] | 157 | result += i.coeff() * power( alpha, i.exp() ); |
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[2dd068] | 158 | return result; |
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| 159 | } |
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| 160 | |
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| 161 | Variable rootOf( const CanonicalForm & mipo, char name ) |
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| 162 | { |
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[e2c181] | 163 | ASSERT (mipo.inPolyDomain() && mipo.isUnivariate(), "not a legal extension"); |
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[2dd068] | 164 | |
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| 165 | int l; |
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| 166 | if ( var_names_ext == 0 ) { |
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[806c18] | 167 | var_names_ext = new char [3]; |
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| 168 | var_names_ext[0] = '@'; |
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| 169 | var_names_ext[1] = name; |
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| 170 | var_names_ext[2] = '\0'; |
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| 171 | l = 1; |
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| 172 | Variable result( -l, true ); |
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| 173 | algextensions = new ext_entry [2]; |
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| 174 | algextensions[1] = ext_entry( 0, false ); |
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| 175 | algextensions[1] = ext_entry( (InternalPoly*)(conv2mipo( mipo, result ).getval()), true ); |
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| 176 | return result; |
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[2dd068] | 177 | } |
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| 178 | else { |
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[806c18] | 179 | int i, n = strlen( var_names_ext ); |
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| 180 | char * newvarnames = new char [n+2]; |
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| 181 | for ( i = 0; i < n; i++ ) |
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| 182 | newvarnames[i] = var_names_ext[i]; |
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| 183 | newvarnames[n] = name; |
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| 184 | newvarnames[n+1] = 0; |
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| 185 | delete [] var_names_ext; |
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| 186 | var_names_ext = newvarnames; |
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| 187 | l = n; |
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| 188 | Variable result( -l, true ); |
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| 189 | ext_entry * newalgext = new ext_entry [n+1]; |
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| 190 | for ( i = 0; i < n; i++ ) |
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| 191 | newalgext[i] = algextensions[i]; |
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| 192 | newalgext[n] = ext_entry( 0, false ); |
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| 193 | delete [] algextensions; |
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| 194 | algextensions = newalgext; |
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| 195 | algextensions[n] = ext_entry( (InternalPoly*)(conv2mipo( mipo, result ).getval()), true ); |
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| 196 | return result; |
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[2dd068] | 197 | } |
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| 198 | } |
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| 199 | |
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| 200 | InternalPoly * getInternalMipo ( const Variable & alpha ) |
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| 201 | { |
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| 202 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 203 | return algextensions[-alpha.level()].mipo(); |
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| 204 | } |
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| 205 | |
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| 206 | CanonicalForm getMipo( const Variable & alpha, const Variable & x ) |
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| 207 | { |
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| 208 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 209 | return CanonicalForm( algextensions[-alpha.level()].mipo()->copyObject() )(x,alpha); |
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| 210 | } |
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| 211 | |
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| 212 | CanonicalForm getMipo( const Variable & alpha ) |
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| 213 | { |
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| 214 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 215 | return CanonicalForm( algextensions[-alpha.level()].mipo()->copyObject() ); |
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| 216 | } |
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| 217 | |
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[c48e80] | 218 | /*void setMipo ( const Variable & alpha, const CanonicalForm & mipo) |
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| 219 | { |
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| 220 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 221 | algextensions[-alpha.level()]= ext_entry((InternalPoly*)(conv2mipo( mipo, alpha ).getval()), true ); |
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| 222 | }*/ |
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| 223 | |
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[6981f1] | 224 | bool hasMipo( const Variable & alpha ) |
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| 225 | { |
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| 226 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 227 | return ((algextensions!=NULL) && getReduce(alpha) ); |
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| 228 | } |
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| 229 | |
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[2dd068] | 230 | bool getReduce( const Variable & alpha ) |
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| 231 | { |
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| 232 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 233 | return algextensions[-alpha.level()].reduce(); |
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| 234 | } |
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| 235 | |
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| 236 | void setReduce( const Variable & alpha, bool reduce ) |
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| 237 | { |
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| 238 | ASSERT( alpha.level() < 0 && alpha.level() != LEVELBASE, "illegal extension" ); |
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| 239 | algextensions[-alpha.level()].reduce() = reduce; |
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| 240 | } |
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| 241 | |
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| 242 | char getDefaultVarName() |
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| 243 | { |
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| 244 | return default_name; |
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| 245 | } |
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| 246 | |
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| 247 | char getDefaultExtName() |
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| 248 | { |
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| 249 | return default_name_ext; |
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| 250 | } |
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[c3aa45] | 251 | |
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| 252 | int ExtensionLevel() |
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| 253 | { |
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| 254 | if( var_names_ext == 0) |
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| 255 | return 0; |
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| 256 | return strlen( var_names_ext )-1; |
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| 257 | } |
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| 258 | |
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| 259 | void Reduce( bool on) |
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| 260 | { |
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| 261 | int i; |
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| 262 | for (i=ExtensionLevel(); i>0;i--) |
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| 263 | { |
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| 264 | Variable l(-i); |
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| 265 | setReduce(l,on); |
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| 266 | } |
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| 267 | } |
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