[35aab3] | 1 | // emacs edit mode for this file is -*- C++ -*- |
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| 2 | |
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| 3 | /**************************************** |
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| 4 | * Computer Algebra System SINGULAR * |
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| 5 | ****************************************/ |
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| 6 | /* |
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| 7 | * ABSTRACT - |
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| 8 | */ |
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| 9 | |
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[16f511] | 10 | #ifdef HAVE_CONFIG_H |
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[ba5e9e] | 11 | #include "singularconfig.h" |
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[16f511] | 12 | #endif /* HAVE_CONFIG_H */ |
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[599326] | 13 | #include <kernel/mod2.h> |
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[35aab3] | 14 | |
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[f625fe] | 15 | #define SI_DONT_HAVE_GLOBAL_VARS |
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| 16 | #include <factory/factory.h> |
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[0f401f] | 17 | #include <misc/options.h> |
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[737a68] | 18 | #include <kernel/polys.h> |
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[599326] | 19 | #include <kernel/ideals.h> |
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[210e07] | 20 | #include <polys/monomials/ring.h> |
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[599326] | 21 | #include <kernel/febase.h> |
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[76cfef] | 22 | #include <polys/monomials/maps.h> |
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[b1dfaf] | 23 | #include <omalloc/omalloc.h> |
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[599326] | 24 | #include <kernel/fglmvec.h> |
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| 25 | #include <kernel/fglmgauss.h> |
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| 26 | #include <kernel/kstd1.h> |
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[35aab3] | 27 | |
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[599326] | 28 | #include <kernel/fglm.h> |
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[35aab3] | 29 | |
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| 30 | #ifndef NOSTREAMIO |
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[b1dfaf] | 31 | # ifdef HAVE_IOSTREAM |
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| 32 | # include <iostream> |
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| 33 | # else |
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| 34 | # include <iostream.h> |
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| 35 | # endif |
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[2d10dab] | 36 | #endif |
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[35aab3] | 37 | |
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| 38 | static void |
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| 39 | fglmEliminateMonomials( poly * pptr, fglmVector & v, polyset monomials, int numMonoms ) |
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| 40 | { |
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| 41 | poly temp = *pptr; |
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| 42 | poly pretemp = NULL; |
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| 43 | int point = 0; |
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| 44 | int state; |
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| 45 | |
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| 46 | while ( (temp != NULL) && (point < numMonoms) ) { |
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| 47 | state= pCmp( temp, monomials[point] ); |
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| 48 | if ( state == 0 ) { |
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| 49 | // Eliminate this monomial |
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| 50 | poly todelete; |
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| 51 | if ( pretemp == NULL ) { |
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| 52 | todelete = temp; |
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| 53 | pIter( *pptr ); |
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| 54 | temp= *pptr; |
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| 55 | } |
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| 56 | else { |
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| 57 | todelete= temp; |
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| 58 | pIter( temp ); |
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| 59 | pretemp->next= temp; |
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| 60 | } |
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| 61 | pGetCoeff( todelete )= nNeg( pGetCoeff( todelete ) ); |
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| 62 | number newelem = nAdd( pGetCoeff( todelete ), v.getconstelem( point+1 ) ); |
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| 63 | v.setelem( point+1, newelem ); |
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| 64 | nDelete( & pGetCoeff( todelete ) ); |
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| 65 | pLmFree( todelete ); |
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| 66 | point++; |
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| 67 | } |
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| 68 | else if ( state < 0 ) |
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| 69 | point++; |
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| 70 | else { |
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| 71 | pretemp= temp; |
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| 72 | pIter( temp ); |
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| 73 | } |
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| 74 | } |
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| 75 | } |
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| 76 | |
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| 77 | static BOOLEAN |
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| 78 | fglmReductionStep( poly * pptr, ideal source, int * w ) |
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| 79 | { |
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| 80 | // returns TRUE if the leading monomial was reduced |
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| 81 | if ( *pptr == NULL ) return FALSE; |
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| 82 | int k; |
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| 83 | int best = 0; |
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| 84 | for ( k= IDELEMS( source ) - 1; k >= 0; k-- ) { |
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| 85 | if ( pDivisibleBy( (source->m)[k], *pptr ) ) { |
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| 86 | if ( best == 0 ) { |
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| 87 | best= k + 1; |
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| 88 | } |
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| 89 | else { |
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| 90 | if ( w[k] < w[best-1] ) { |
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| 91 | best= k + 1; |
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| 92 | } |
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| 93 | } |
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| 94 | } |
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| 95 | } |
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| 96 | if ( best > 0 ) { |
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| 97 | // OwnSPoly |
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| 98 | poly p2 = (source->m)[best-1]; |
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| 99 | int i, diff; |
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| 100 | |
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| 101 | poly m = pOne(); |
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[1f637e] | 102 | for ( i= (currRing->N); i > 0; i-- ) |
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[fb82895] | 103 | { |
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[35aab3] | 104 | diff= pGetExp( *pptr, i ) - pGetExp( p2, i ); |
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| 105 | pSetExp( m, i, diff ); |
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| 106 | } |
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| 107 | pSetm( m ); |
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| 108 | number n1 = nCopy( pGetCoeff( *pptr ) ); |
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| 109 | number n2 = pGetCoeff( p2 ); |
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| 110 | |
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| 111 | p2= pCopy( p2 ); |
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[fb82895] | 112 | pLmDelete(pptr); |
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| 113 | pLmDelete( & p2 ); |
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[35aab3] | 114 | p2= pMult( m, p2 ); |
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| 115 | |
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| 116 | number temp = nDiv( n1, n2 ); |
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| 117 | n_Normalize( temp, currRing ); |
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| 118 | nDelete( & n1 ); |
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| 119 | n1= temp; |
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| 120 | n1= nNeg( n1 ); |
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| 121 | pMult_nn( p2, n1 ); |
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| 122 | // pNormalize( p2 ); |
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| 123 | nDelete( & n1 ); |
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| 124 | *pptr= pAdd( *pptr, p2 ); |
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| 125 | } |
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| 126 | return ( (best > 0) ); |
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| 127 | } |
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| 128 | |
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| 129 | static void |
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| 130 | fglmReduce( poly * pptr, fglmVector & v, polyset m, int numMonoms, ideal source, int * w ) |
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| 131 | { |
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| 132 | BOOLEAN reduced = FALSE; |
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| 133 | reduced= fglmReductionStep( pptr, source, w ); |
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| 134 | while ( reduced == TRUE ) { |
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| 135 | fglmEliminateMonomials( pptr, v, m, numMonoms ); |
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| 136 | reduced= fglmReductionStep( pptr, source, w ); |
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| 137 | } |
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| 138 | STICKYPROT( "<" ); |
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| 139 | poly temp = * pptr; |
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| 140 | if ( temp != NULL ) { |
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| 141 | while ( pNext( temp ) != NULL ) { |
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| 142 | STICKYPROT( ">" ); |
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| 143 | reduced= fglmReductionStep( & pNext( temp ), source, w ); |
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| 144 | while ( reduced == TRUE ) { |
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| 145 | fglmEliminateMonomials( & pNext( temp ), v, m, numMonoms ); |
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| 146 | reduced= fglmReductionStep( & pNext( temp ), source, w ); |
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| 147 | } |
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| 148 | if ( pNext( temp ) != NULL ) { |
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| 149 | pIter( temp ); |
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| 150 | } |
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| 151 | } |
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| 152 | } |
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| 153 | } |
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| 154 | |
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| 155 | static poly |
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| 156 | fglmNewLinearCombination( ideal source, poly monset ) |
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| 157 | { |
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| 158 | polyset m = NULL; |
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| 159 | polyset nf = NULL; |
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| 160 | fglmVector * mv = NULL; |
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| 161 | |
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| 162 | fglmVector * v = NULL; |
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| 163 | polyset basis = NULL; |
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| 164 | int basisSize = 0; |
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| 165 | int basisBS = 16; |
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| 166 | int basisMax = basisBS; |
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| 167 | |
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| 168 | int * weights = NULL; |
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| 169 | int * lengthes = NULL; |
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| 170 | int * order = NULL; |
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| 171 | |
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| 172 | int numMonoms = 0; |
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| 173 | int k; |
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| 174 | |
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| 175 | // get number of monoms |
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| 176 | numMonoms= pLength( monset ); |
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| 177 | STICKYPROT2( "%i monoms\n", numMonoms ); |
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| 178 | |
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| 179 | // Allcoate Memory and initialize sets |
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| 180 | m= (polyset)omAlloc( numMonoms * sizeof( poly ) ); |
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| 181 | poly temp= monset; |
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| 182 | for ( k= 0; k < numMonoms; k++ ) { |
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| 183 | // m[k]= pOne(); |
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| 184 | // pSetExpV( m[k], temp->exp ); |
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| 185 | // pSetm( m[k] ); |
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| 186 | m[k]=pLmInit(temp); |
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| 187 | pSetCoeff( m[k], nInit(1) ); |
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| 188 | pIter( temp ); |
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| 189 | } |
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| 190 | |
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| 191 | nf= (polyset)omAlloc( numMonoms * sizeof( poly ) ); |
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| 192 | |
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| 193 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 194 | mv= new fglmVector[ numMonoms ]; |
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| 195 | #else |
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| 196 | mv= (fglmVector *)omAlloc( numMonoms * sizeof( fglmVector ) ); |
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| 197 | #endif |
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| 198 | |
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| 199 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 200 | v= new fglmVector[ numMonoms ]; |
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| 201 | #else |
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| 202 | v= (fglmVector *)omAlloc( numMonoms * sizeof( fglmVector ) ); |
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| 203 | #endif |
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| 204 | |
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| 205 | basisMax= basisBS; |
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| 206 | basis= (polyset)omAlloc( basisMax * sizeof( poly ) ); |
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| 207 | |
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| 208 | weights= (int *)omAlloc( IDELEMS( source ) * sizeof( int ) ); |
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| 209 | STICKYPROT( "weights: " ); |
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| 210 | for ( k= 0; k < IDELEMS( source ); k++ ) { |
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| 211 | poly temp= (source->m)[k]; |
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| 212 | int w = 0; |
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| 213 | while ( temp != NULL ) { |
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| 214 | w+= nSize( pGetCoeff( temp ) ); |
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| 215 | pIter( temp ); |
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| 216 | } |
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| 217 | weights[k]= w; |
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| 218 | STICKYPROT2( "%i ", w ); |
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| 219 | } |
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| 220 | STICKYPROT( "\n" ); |
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| 221 | lengthes= (int *)omAlloc( numMonoms * sizeof( int ) ); |
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| 222 | order= (int *)omAlloc( numMonoms * sizeof( int ) ); |
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| 223 | |
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| 224 | // calculate the NormalForm in a special way |
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| 225 | for ( k= 0; k < numMonoms; k++ ) |
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| 226 | { |
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| 227 | STICKYPROT( "#" ); |
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| 228 | poly current = pCopy( m[k] ); |
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| 229 | fglmVector currV( numMonoms, k+1 ); |
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| 230 | |
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| 231 | fglmReduce( & current, currV, m, numMonoms, source, weights ); |
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| 232 | poly temp = current; |
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| 233 | int b; |
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| 234 | while ( temp != NULL ) |
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| 235 | { |
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| 236 | BOOLEAN found = FALSE; |
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| 237 | for ( b= 0; (b < basisSize) && (found == FALSE); b++ ) |
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| 238 | { |
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| 239 | if ( pLmEqual( temp, basis[b] ) ) |
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| 240 | { |
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| 241 | found= TRUE; |
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| 242 | } |
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| 243 | } |
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| 244 | if ( found == FALSE ) |
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| 245 | { |
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| 246 | if ( basisSize == basisMax ) |
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| 247 | { |
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| 248 | // Expand the basis |
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| 249 | basis= (polyset)omReallocSize( basis, basisMax * sizeof( poly ), (basisMax + basisBS ) * sizeof( poly ) ); |
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| 250 | basisMax+= basisBS; |
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| 251 | } |
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| 252 | // basis[basisSize]= pOne(); |
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| 253 | // pSetExpV( basis[basisSize], temp->exp ); |
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| 254 | // pSetm( basis[basisSize] ); |
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| 255 | basis[basisSize]=pLmInit(temp); |
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| 256 | pSetCoeff( basis[basisSize], nInit(1) ); |
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| 257 | basisSize++; |
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| 258 | } |
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| 259 | pIter( temp ); |
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| 260 | } |
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| 261 | nf[k]= current; |
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| 262 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 263 | mv[k].mac_constr( currV ); |
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| 264 | #else |
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| 265 | mv[k].fglmVector( currV ); |
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| 266 | #endif |
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| 267 | STICKYPROT( "\n" ); |
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| 268 | } |
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| 269 | // get the vector representation |
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| 270 | for ( k= 0; k < numMonoms; k++ ) { |
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| 271 | STICKYPROT( "." ); |
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| 272 | |
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| 273 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 274 | v[k].mac_constr_i( basisSize ); |
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| 275 | #else |
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| 276 | v[k].fglmVector( basisSize ); |
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| 277 | #endif |
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| 278 | poly mon= nf[k]; |
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| 279 | while ( mon != NULL ) { |
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| 280 | BOOLEAN found = FALSE; |
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| 281 | int b= 0; |
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| 282 | while ( found == FALSE ) { |
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| 283 | if ( pLmEqual( mon, basis[b] ) ) { |
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| 284 | found= TRUE; |
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| 285 | } |
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| 286 | else { |
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| 287 | b++; |
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| 288 | } |
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| 289 | } |
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| 290 | number coeff = nCopy( pGetCoeff( mon ) ); |
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| 291 | v[k].setelem( b+1, coeff ); |
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| 292 | pIter( mon ); |
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| 293 | } |
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| 294 | pDelete( nf + k ); |
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| 295 | } |
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| 296 | // Free Memory not needed anymore |
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| 297 | omFreeSize( (ADDRESS)nf, numMonoms * sizeof( poly ) ); |
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| 298 | omFreeSize( (ADDRESS)weights, IDELEMS( source ) * sizeof( int ) ); |
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| 299 | |
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| 300 | STICKYPROT2( "\nbasis size: %i\n", basisSize ); |
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| 301 | STICKYPROT( "(clear basis" ); |
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| 302 | for ( k= 0; k < basisSize; k++ ) |
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| 303 | pDelete( basis + k ); |
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| 304 | STICKYPROT( ")\n" ); |
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| 305 | // gauss reduce |
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| 306 | gaussReducer gauss( basisSize ); |
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| 307 | BOOLEAN isZero = FALSE; |
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| 308 | fglmVector p; |
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| 309 | |
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| 310 | STICKYPROT( "sizes: " ); |
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| 311 | for ( k= 0; k < numMonoms; k++ ) { |
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| 312 | lengthes[k]= v[k].numNonZeroElems(); |
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| 313 | STICKYPROT2( "%i ", lengthes[k] ); |
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| 314 | } |
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| 315 | STICKYPROT( "\n" ); |
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| 316 | |
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| 317 | int act = 0; |
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| 318 | while ( (isZero == FALSE) && (act < numMonoms) ) { |
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| 319 | int best = 0; |
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| 320 | for ( k= numMonoms - 1; k >= 0; k-- ) { |
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| 321 | if ( lengthes[k] > 0 ) { |
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| 322 | if ( best == 0 ) { |
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| 323 | best= k+1; |
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| 324 | } |
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| 325 | else { |
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| 326 | if ( lengthes[k] < lengthes[best-1] ) { |
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| 327 | best= k+1; |
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| 328 | } |
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| 329 | } |
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| 330 | } |
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| 331 | } |
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| 332 | lengthes[best-1]= 0; |
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| 333 | order[act]= best-1; |
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| 334 | STICKYPROT2( " (%i) ", best ); |
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| 335 | if ( ( isZero= gauss.reduce( v[best-1] )) == TRUE ) { |
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| 336 | p= gauss.getDependence(); |
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| 337 | } |
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| 338 | else { |
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| 339 | STICKYPROT( "+" ); |
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| 340 | gauss.store(); |
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| 341 | act++; |
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| 342 | } |
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| 343 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 344 | v[best-1].clearelems(); |
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| 345 | #else |
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| 346 | v[best-1].~fglmVector(); |
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| 347 | #endif |
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| 348 | } |
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| 349 | poly result = NULL; |
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| 350 | if ( isZero == TRUE ) { |
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| 351 | number gcd = p.gcd(); |
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| 352 | if ( ! nIsZero( gcd ) && ! ( nIsOne( gcd ) ) ) { |
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| 353 | p/= gcd; |
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| 354 | } |
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| 355 | nDelete( & gcd ); |
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| 356 | fglmVector temp( numMonoms ); |
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| 357 | for ( k= 0; k < p.size(); k++ ) { |
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| 358 | if ( ! p.elemIsZero( k+1 ) ) { |
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| 359 | temp+= p.getconstelem( k+1 ) * mv[order[k]]; |
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| 360 | } |
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| 361 | } |
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| 362 | number denom = temp.clearDenom(); |
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| 363 | nDelete( & denom ); |
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| 364 | gcd = temp.gcd(); |
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| 365 | if ( ! nIsZero( gcd ) && ! nIsOne( gcd ) ) { |
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| 366 | temp/= gcd; |
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| 367 | } |
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| 368 | nDelete( & gcd ); |
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| 369 | |
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| 370 | poly sum = NULL; |
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| 371 | for ( k= 1; k <= numMonoms; k++ ) { |
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| 372 | if ( ! temp.elemIsZero( k ) ) { |
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| 373 | if ( result == NULL ) { |
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| 374 | result= pCopy( m[k-1] ); |
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| 375 | sum= result; |
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| 376 | } |
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| 377 | else { |
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| 378 | sum->next= pCopy( m[k-1] ); |
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| 379 | pIter( sum ); |
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| 380 | } |
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| 381 | pSetCoeff( sum, nCopy( temp.getconstelem( k ) ) ); |
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| 382 | } |
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| 383 | } |
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[a0d9be] | 384 | p_Content( result, currRing ); |
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[35aab3] | 385 | if ( ! nGreaterZero( pGetCoeff( result ) ) ) result= pNeg( result ); |
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| 386 | } |
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| 387 | // Free Memory |
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| 388 | omFreeSize( (ADDRESS)lengthes, numMonoms * sizeof( int ) ); |
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| 389 | omFreeSize( (ADDRESS)order, numMonoms * sizeof( int ) ); |
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| 390 | // for ( k= 0; k < numMonoms; k++ ) |
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| 391 | // v[k].~fglmVector(); |
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| 392 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 393 | delete [] v; |
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| 394 | #else |
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| 395 | omFreeSize( (ADDRESS)v, numMonoms * sizeof( fglmVector ) ); |
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| 396 | #endif |
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| 397 | |
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| 398 | for ( k= 0; k < basisSize; k++ ) |
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| 399 | pDelete( basis + k ); |
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| 400 | omFreeSize( (ADDRESS)basis, basisMax * sizeof( poly ) ); |
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| 401 | |
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| 402 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 403 | delete [] mv; |
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| 404 | #else |
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| 405 | for ( k= 0; k < numMonoms; k++ ) |
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| 406 | mv[k].~fglmVector(); |
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| 407 | omFreeSize( (ADDRESS)mv, numMonoms * sizeof( fglmVector ) ); |
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| 408 | #endif |
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| 409 | |
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| 410 | for ( k= 0; k < numMonoms; k++ ) |
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| 411 | pDelete( m + k ); |
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| 412 | omFreeSize( (ADDRESS)m, numMonoms * sizeof( poly ) ); |
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| 413 | |
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| 414 | STICKYPROT( "\n" ); |
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| 415 | return result; |
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| 416 | } |
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| 417 | |
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| 418 | |
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| 419 | static poly |
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| 420 | fglmLinearCombination( ideal source, poly monset ) |
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| 421 | { |
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| 422 | int k; |
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| 423 | poly temp; |
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| 424 | |
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| 425 | polyset m; |
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| 426 | polyset nf; |
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| 427 | fglmVector * v; |
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| 428 | |
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| 429 | polyset basis; |
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| 430 | int basisSize = 0; |
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| 431 | int basisBS = 16; |
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| 432 | int basisMax; |
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| 433 | // get number of monomials in monset |
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| 434 | int numMonoms = 0; |
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| 435 | temp = monset; |
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| 436 | while ( temp != NULL ) { |
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| 437 | numMonoms++; |
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| 438 | pIter( temp ); |
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| 439 | } |
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| 440 | // Allocate Memory |
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| 441 | m= (polyset)omAlloc( numMonoms * sizeof( poly ) ); |
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| 442 | nf= (polyset)omAlloc( numMonoms * sizeof( poly ) ); |
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| 443 | // Warning: The fglmVectors in v are yet not initialized |
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| 444 | v= (fglmVector *)omAlloc( numMonoms * sizeof( fglmVector ) ); |
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| 445 | basisMax= basisBS; |
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| 446 | basis= (polyset)omAlloc( basisMax * sizeof( poly ) ); |
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| 447 | |
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| 448 | // get the NormalForm and the basis monomials |
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| 449 | temp= monset; |
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| 450 | for ( k= 0; k < numMonoms; k++ ) { |
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| 451 | poly mon= pHead( temp ); |
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| 452 | if ( ! nIsOne( pGetCoeff( mon ) ) ) { |
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| 453 | nDelete( & pGetCoeff( mon ) ); |
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| 454 | pSetCoeff( mon, nInit( 1 ) ); |
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| 455 | } |
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| 456 | STICKYPROT( "(" ); |
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| 457 | nf[k]= kNF( source, currRing->qideal, mon ); |
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| 458 | STICKYPROT( ")" ); |
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| 459 | |
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| 460 | // search through basis |
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| 461 | STICKYPROT( "[" ); |
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| 462 | poly sm = nf[k]; |
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| 463 | while ( sm != NULL ) { |
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| 464 | BOOLEAN found = FALSE; |
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| 465 | int b; |
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| 466 | for ( b= 0; (b < basisSize) && (found == FALSE); b++ ) |
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| 467 | if ( pLmEqual( sm, basis[b] ) ) found= TRUE; |
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| 468 | if ( found == FALSE ) { |
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| 469 | // Expand the basis |
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| 470 | if ( basisSize == basisMax ) { |
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| 471 | basis= (polyset)omReallocSize( basis, basisMax * sizeof( poly ), (basisMax + basisBS ) * sizeof( poly ) ); |
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| 472 | basisMax+= basisBS; |
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| 473 | } |
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| 474 | basis[basisSize]= pHead( sm ); |
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| 475 | nDelete( & pGetCoeff( basis[basisSize] ) ); |
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| 476 | pSetCoeff( basis[basisSize], nInit( 1 ) ); |
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| 477 | basisSize++; |
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| 478 | } |
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| 479 | pIter( sm ); |
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| 480 | } |
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| 481 | STICKYPROT( "]" ); |
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| 482 | m[k]= mon; |
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| 483 | pIter( temp ); |
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| 484 | } |
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| 485 | // get the vector representation |
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| 486 | STICKYPROT2( "(%i)", basisSize ); |
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| 487 | for ( k= 0; k < numMonoms; k++ ) { |
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| 488 | #ifndef HAVE_EXPLICIT_CONSTR |
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| 489 | v[k].mac_constr_i( basisSize ); |
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| 490 | #else |
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| 491 | v[k].fglmVector( basisSize ); |
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| 492 | #endif |
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| 493 | STICKYPROT( "(+" ); |
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| 494 | poly mon= nf[k]; |
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| 495 | while ( mon != NULL ) { |
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| 496 | BOOLEAN found = FALSE; |
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| 497 | int b= 0; |
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| 498 | while ( found == FALSE ) { |
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| 499 | if ( pLmEqual( mon, basis[b] ) ) |
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| 500 | found= TRUE; |
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| 501 | else |
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| 502 | b++; |
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| 503 | } |
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| 504 | number coeff = nCopy( pGetCoeff( mon ) ); |
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| 505 | v[k].setelem( b+1, coeff ); |
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| 506 | pIter( mon ); |
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| 507 | } |
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| 508 | STICKYPROT( ")" ); |
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| 509 | } |
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| 510 | // gauss reduce |
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| 511 | gaussReducer gauss( basisSize ); |
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| 512 | BOOLEAN isZero = FALSE; |
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| 513 | fglmVector p; |
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| 514 | for ( k= 0; (k < numMonoms) && (isZero == FALSE); k++ ) { |
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| 515 | STICKYPROT( "(-" ); |
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| 516 | if ( ( isZero= gauss.reduce( v[k] )) == TRUE ) |
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| 517 | p= gauss.getDependence(); |
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| 518 | else |
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| 519 | gauss.store(); |
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| 520 | STICKYPROT( ")" ); |
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| 521 | } |
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| 522 | poly comb = NULL; |
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| 523 | if ( isZero == TRUE ) { |
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| 524 | number gcd = p.gcd(); |
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| 525 | if ( ! nIsZero( gcd ) && ! ( nIsOne( gcd ) ) ) |
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| 526 | p/= gcd; |
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| 527 | nDelete( & gcd ); |
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| 528 | for ( k= 1; k <= p.size(); k++ ) { |
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| 529 | if ( ! p.elemIsZero( k ) ) { |
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| 530 | poly temp = pCopy( m[k-1] ); |
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| 531 | pSetCoeff( temp, nCopy( p.getconstelem( k ) ) ); |
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| 532 | comb= pAdd( comb, temp ); |
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| 533 | } |
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| 534 | } |
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| 535 | if ( ! nGreaterZero( pGetCoeff( comb ) ) ) comb= pNeg( comb ); |
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| 536 | } |
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| 537 | |
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| 538 | // Free Memory |
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| 539 | for ( k= 0; k < numMonoms; k++ ) { |
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| 540 | pDelete( m + k ); |
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| 541 | pDelete( nf + k ); |
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| 542 | } |
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| 543 | omFreeSize( (ADDRESS)m, numMonoms * sizeof( poly ) ); |
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| 544 | omFreeSize( (ADDRESS)nf, numMonoms * sizeof( poly ) ); |
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| 545 | // Warning: At this point all Vectors in v have to be initialized |
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| 546 | for ( k= numMonoms - 1; k >= 0; k-- ) v[k].~fglmVector(); |
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| 547 | omFreeSize( (ADDRESS)v, numMonoms * sizeof( fglmVector ) ); |
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| 548 | for ( k= 0; k < basisSize; k++ ) |
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| 549 | pDelete( basis + k ); |
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| 550 | omFreeSize( (ADDRESS)basis, basisMax * sizeof( poly ) ); |
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| 551 | STICKYPROT( "\n" ); |
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| 552 | return comb; |
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| 553 | } |
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| 554 | |
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| 555 | // Local Variables: *** |
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| 556 | // compile-command: "make Singular" *** |
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| 557 | // page-delimiter: "^\\(\\|//!\\)" *** |
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| 558 | // fold-internal-margins: nil *** |
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| 559 | // End: *** |
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