[35aab3] | 1 | /***************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | *****************************************/ |
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[e8a0aa] | 4 | /* $Id: numbers.cc,v 1.18 2008-08-06 13:55:42 Singular Exp $ */ |
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[35aab3] | 5 | |
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| 6 | /* |
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| 7 | * ABSTRACT: interface to coefficient aritmetics |
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| 8 | */ |
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| 9 | |
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| 10 | #include <string.h> |
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| 11 | #include <stdlib.h> |
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| 12 | #include "mod2.h" |
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| 13 | #include "structs.h" |
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| 14 | #include "febase.h" |
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| 15 | #include "kstd1.h" |
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| 16 | #include "numbers.h" |
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| 17 | #include "longrat.h" |
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| 18 | #include "longalg.h" |
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| 19 | #include "modulop.h" |
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| 20 | #include "gnumpfl.h" |
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| 21 | #include "gnumpc.h" |
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| 22 | #include "ring.h" |
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| 23 | #include "ffields.h" |
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| 24 | #include "shortfl.h" |
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[585bbcb] | 25 | #ifdef HAVE_RING2TOM |
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| 26 | #include "rmodulo2m.h" |
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| 27 | #endif |
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[994445] | 28 | #ifdef HAVE_RINGMODN |
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| 29 | #include "rmodulon.h" |
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| 30 | #endif |
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[1e579c6] | 31 | #ifdef HAVE_RINGZ |
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| 32 | #include "rintegers.h" |
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| 33 | #endif |
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[35aab3] | 34 | |
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| 35 | //static int characteristic = 0; |
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| 36 | extern int IsPrime(int p); |
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| 37 | |
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| 38 | void (*nNew)(number *a); |
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| 39 | number (*nInit)(int i); |
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| 40 | number (*nPar)(int i); |
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| 41 | int (*nParDeg)(number n); |
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| 42 | int (*nSize)(number n); |
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| 43 | int (*nInt)(number &n); |
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| 44 | numberfunc nMult, nSub, nAdd, nDiv, nIntDiv, nIntMod, nExactDiv; |
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| 45 | number (*nNeg)(number a); |
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| 46 | number (*nInvers)(number a); |
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| 47 | void (*nNormalize)(number &a); |
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| 48 | number (*nCopy)(number a); |
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| 49 | number (*nRePart)(number a); |
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| 50 | number (*nImPart)(number a); |
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[009d80] | 51 | #ifdef HAVE_RINGS |
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| 52 | BOOLEAN (*nDivBy)(number a,number b); |
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[d351d8] | 53 | int (*nDivComp)(number a,number b); |
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[1e579c6] | 54 | BOOLEAN (*nIsUnit)(number a); |
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| 55 | number (*nGetUnit)(number a); |
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| 56 | number (*nExtGcd)(number a, number b, number *s, number *t); |
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[009d80] | 57 | #endif |
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[35aab3] | 58 | BOOLEAN (*nGreater)(number a,number b); |
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| 59 | BOOLEAN (*nEqual)(number a,number b); |
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| 60 | BOOLEAN (*nIsZero)(number a); |
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| 61 | BOOLEAN (*nIsOne)(number a); |
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| 62 | BOOLEAN (*nIsMOne)(number a); |
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| 63 | BOOLEAN (*nGreaterZero)(number a); |
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| 64 | void (*nWrite)(number &a); |
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[85e68dd] | 65 | const char* (*nRead)(const char *s,number *a); |
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[35aab3] | 66 | void (*nPower)(number a, int i, number * result); |
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| 67 | number (*nGcd)(number a, number b, const ring r); |
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| 68 | number (*nLcm)(number a, number b, const ring r); |
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| 69 | char * (*nName)(number n); |
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| 70 | void (*n__Delete)(number *a, const ring r); |
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| 71 | |
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| 72 | /*0 implementation*/ |
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| 73 | number nNULL; /* the 0 as constant */ |
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| 74 | |
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| 75 | n_Procs_s *cf_root=NULL; |
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| 76 | |
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| 77 | void nDummy1(number* d) { *d=NULL; } |
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| 78 | void ndDelete(number* d, const ring r) { *d=NULL; } |
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| 79 | void ndInpMult(number &a, number b, const ring r) |
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| 80 | { |
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| 81 | number n=n_Mult(a,b,r); |
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| 82 | n_Delete(&a,r); |
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| 83 | a=n; |
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| 84 | } |
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[e8a0aa] | 85 | number ndInpAdd(number &a, number b, const ring r) |
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| 86 | { |
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| 87 | number n=n_Add(a,b,r); |
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| 88 | n_Delete(&a,r); |
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| 89 | a=n; |
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| 90 | return a; |
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| 91 | } |
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[35aab3] | 92 | |
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| 93 | #ifdef LDEBUG |
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| 94 | void nDBDummy1(number* d,char *f, int l) { *d=NULL; } |
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[85e68dd] | 95 | BOOLEAN ndDBTest(number a, const char *f, const int l) |
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| 96 | { |
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| 97 | return TRUE; |
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| 98 | } |
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[35aab3] | 99 | #endif |
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| 100 | |
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| 101 | void nDummy2(number& d) { } |
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| 102 | |
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| 103 | char * ndName(number n) { return NULL; } |
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| 104 | |
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| 105 | number ndPar(int i) { return nInit(0); } |
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| 106 | |
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| 107 | number ndReturn0(number n) { return nInit(0); } |
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| 108 | |
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| 109 | int ndParDeg(number n) { return 0; } |
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| 110 | |
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| 111 | number ndGcd(number a, number b, const ring r) { return r->cf->nInit(1); } |
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| 112 | |
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| 113 | number ndIntMod(number a, number b) { return nInit(0); } |
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| 114 | |
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| 115 | number ndGetDenom(number &n, const ring r) { return n_Init(1,r); } |
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| 116 | |
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| 117 | int ndSize(number a) { return (int)nIsZero(a)==FALSE; } |
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| 118 | |
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| 119 | number ndCopy(number a) { return a; } |
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| 120 | number nd_Copy(number a,const ring r) { return r->cf->nCopy(a); } |
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| 121 | |
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[009d80] | 122 | #ifdef HAVE_RINGS |
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[93ebe1] | 123 | BOOLEAN ndDivBy(number a, number b) { return TRUE; } // assume a,b !=0 |
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[d351d8] | 124 | int ndDivComp(number a, number b) { return 0; } |
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[93ebe1] | 125 | BOOLEAN ndIsUnit(number a) { return !nIsZero(a); } |
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[1e579c6] | 126 | number ndExtGcd (number a, number b, number *s, number *t) { return nInit(1); } |
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[009d80] | 127 | #endif |
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| 128 | |
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[35aab3] | 129 | /*2 |
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| 130 | * init operations for characteristic c (complete==TRUE) |
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| 131 | * init nDelete for characteristic c (complete==FALSE) |
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| 132 | */ |
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| 133 | void nSetChar(ring r) |
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| 134 | { |
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| 135 | int c=rInternalChar(r); |
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| 136 | |
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| 137 | n__Delete= r->cf->cfDelete; |
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| 138 | if (rField_is_Extension(r)) |
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| 139 | { |
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| 140 | naSetChar(c,r); |
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| 141 | } |
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[585bbcb] | 142 | #ifdef HAVE_RING2TOM |
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| 143 | /*----------------------ring Z / 2^m----------------*/ |
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| 144 | else if (rField_is_Ring_2toM(r)) |
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| 145 | { |
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| 146 | nr2mSetExp(c, r); |
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| 147 | } |
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| 148 | #endif |
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[1e579c6] | 149 | #ifdef HAVE_RINGZ |
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| 150 | /*----------------------ring Z / 2^m----------------*/ |
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| 151 | else if (rField_is_Ring_Z(r)) |
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| 152 | { |
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| 153 | nrzSetExp(c, r); |
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| 154 | } |
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| 155 | #endif |
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[994445] | 156 | #ifdef HAVE_RINGMODN |
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| 157 | /*----------------------ring Z / n----------------*/ |
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| 158 | else if (rField_is_Ring_ModN(r)) |
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| 159 | { |
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| 160 | nrnSetExp(c, r); |
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| 161 | } |
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[12ea9d] | 162 | #endif |
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| 163 | #ifdef HAVE_RINGMODN |
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| 164 | /*----------------------ring Z / n----------------*/ |
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| 165 | else if (rField_is_Ring_PtoM(r)) |
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| 166 | { |
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| 167 | nrnSetExp(c, r); |
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| 168 | } |
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[994445] | 169 | #endif |
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[35aab3] | 170 | else if (rField_is_Zp(r)) |
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| 171 | /*----------------------char. p----------------*/ |
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| 172 | { |
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| 173 | npSetChar(c, r); |
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| 174 | } |
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| 175 | /* -------------- GF(p^m) -----------------------*/ |
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| 176 | else if (rField_is_GF(r)) |
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| 177 | { |
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| 178 | nfSetChar(c,r->parameter); |
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| 179 | } |
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| 180 | /* -------------- R -----------------------*/ |
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| 181 | //if (c==(-1)) |
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| 182 | else if (rField_is_R(r)) |
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| 183 | { |
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| 184 | } |
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| 185 | /* -------------- long R -----------------------*/ |
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| 186 | /* -------------- long C -----------------------*/ |
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| 187 | else if ((rField_is_long_R(r)) |
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| 188 | || (rField_is_long_C(r))) |
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| 189 | { |
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| 190 | setGMPFloatDigits(r->float_len,r->float_len2); |
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| 191 | } |
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| 192 | #ifdef TEST |
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| 193 | /* -------------- R -----------------------*/ |
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| 194 | //if (c==(-1)) |
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| 195 | else if (!rField_is_R(r) && !rField_is_Q(r)) |
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| 196 | { |
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| 197 | WerrorS("unknown field"); |
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| 198 | } |
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| 199 | #endif |
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| 200 | nNew = r->cf->nNew; |
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| 201 | nNormalize=r->cf->nNormalize; |
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| 202 | nInit = r->cf->nInit; |
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| 203 | nPar = r->cf->nPar; |
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| 204 | nParDeg= r->cf->nParDeg; |
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| 205 | nInt = r->cf->nInt; |
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| 206 | nAdd = r->cf->nAdd; |
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| 207 | nSub = r->cf->nSub; |
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| 208 | nMult = r->cf->nMult; |
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| 209 | nDiv = r->cf->nDiv; |
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| 210 | nExactDiv= r->cf->nExactDiv; |
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| 211 | nIntDiv= r->cf->nIntDiv; |
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| 212 | nIntMod= r->cf->nIntMod; |
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| 213 | nNeg = r->cf->nNeg; |
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| 214 | nInvers= r->cf->nInvers; |
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| 215 | nCopy = r->cf->nCopy; |
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[009d80] | 216 | #ifdef HAVE_RINGS |
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[d351d8] | 217 | nDivComp = r->cf->nDivComp; |
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[009d80] | 218 | nDivBy = r->cf->nDivBy; |
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[1e579c6] | 219 | nIsUnit = r->cf->nIsUnit; |
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| 220 | nGetUnit = r->cf->nGetUnit; |
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| 221 | nExtGcd = r->cf->nExtGcd; |
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[009d80] | 222 | #endif |
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[35aab3] | 223 | nGreater = r->cf->nGreater; |
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| 224 | nEqual = r->cf->nEqual; |
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| 225 | nIsZero = r->cf->nIsZero; |
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| 226 | nIsOne = r->cf->nIsOne; |
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| 227 | nIsMOne = r->cf->nIsMOne; |
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| 228 | nGreaterZero = r->cf->nGreaterZero; |
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| 229 | nWrite = r->cf->nWrite; |
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| 230 | nRead = r->cf->nRead; |
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| 231 | nPower = r->cf->nPower; |
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| 232 | nGcd = r->cf->nGcd; |
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| 233 | nLcm = r->cf->nLcm; |
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| 234 | nName= r->cf->nName; |
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| 235 | nSize = r->cf->nSize; |
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| 236 | nRePart = r->cf->nRePart; |
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| 237 | nImPart = r->cf->nImPart; |
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[d257ae] | 238 | nNULL=r->cf->nNULL; |
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[35aab3] | 239 | } |
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| 240 | |
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| 241 | /*2 |
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| 242 | * init operations for ring r |
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| 243 | */ |
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| 244 | void nInitChar(ring r) |
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| 245 | { |
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| 246 | int c=rInternalChar(r); |
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| 247 | n_coeffType t=rFieldType(r); |
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| 248 | |
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| 249 | if (rField_is_Extension(r)) |
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| 250 | { |
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| 251 | if (r->algring==NULL) |
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| 252 | { |
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| 253 | int ch=-c; |
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| 254 | if (c==1) ch=0; |
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| 255 | r->algring=(ring) rDefault(ch,r->P,r->parameter); |
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| 256 | //r->algring->ShortOut=r->ShortOut; |
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| 257 | // includes: nInitChar(r->algring); |
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| 258 | } |
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| 259 | } |
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| 260 | |
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| 261 | n_Procs_s *n=cf_root; |
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| 262 | while((n!=NULL) |
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| 263 | && ((n->nChar!=c) || (n->type!=t))) |
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| 264 | n=n->next; |
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| 265 | if (n==NULL) |
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| 266 | { |
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| 267 | n=(n_Procs_s*)omAlloc0(sizeof(n_Procs_s)); |
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| 268 | n->next=cf_root; |
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| 269 | n->ref=1; |
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| 270 | n->nChar=c; |
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| 271 | n->type=t; |
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| 272 | cf_root=n; |
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| 273 | } |
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| 274 | else if ((n->nChar==c) && (n->type==t)) |
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| 275 | { |
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| 276 | n->ref++; |
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| 277 | r->cf=n; |
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| 278 | return; |
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| 279 | } |
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| 280 | else |
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| 281 | { |
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| 282 | WerrorS("nInitChar failed"); |
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| 283 | return; |
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| 284 | } |
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| 285 | r->cf=n; |
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| 286 | n->nChar = c; |
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| 287 | n->nPar = ndPar; |
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| 288 | n->nParDeg=ndParDeg; |
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| 289 | n->nSize = ndSize; |
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| 290 | n->n_GetDenom= ndGetDenom; |
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| 291 | n->nName = ndName; |
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| 292 | n->nImPart=ndReturn0; |
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| 293 | n->cfDelete= ndDelete; |
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| 294 | n->nNew=nDummy1; |
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| 295 | n->nInpMult=ndInpMult; |
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| 296 | n->cfCopy=nd_Copy; |
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| 297 | n->nIntMod=ndIntMod; /* dummy !! */ |
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| 298 | n->nNormalize=nDummy2; |
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| 299 | n->nGcd = ndGcd; |
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| 300 | n->nLcm = ndGcd; /* tricky, isn't it ?*/ |
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[009d80] | 301 | #ifdef HAVE_RINGS |
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[d351d8] | 302 | n->nDivComp = ndDivComp; |
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[009d80] | 303 | n->nDivBy = ndDivBy; |
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[1e579c6] | 304 | n->nIsUnit = ndIsUnit; |
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| 305 | n->nExtGcd = ndExtGcd; |
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[50be61] | 306 | n->nGetUnit = (nMapFunc)NULL; |
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[009d80] | 307 | #endif |
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[35aab3] | 308 | if (rField_is_Extension(r)) |
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| 309 | { |
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| 310 | //naInitChar(c,TRUE,r); |
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| 311 | n->cfDelete = naDelete; |
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| 312 | n-> nNew = naNew; |
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| 313 | n-> nNormalize = naNormalize; |
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| 314 | n->nInit = naInit; |
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| 315 | n->nPar = naPar; |
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| 316 | n->nParDeg = naParDeg; |
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| 317 | n->nInt = naInt; |
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| 318 | n->nAdd = naAdd; |
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| 319 | n->nSub = naSub; |
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| 320 | n->nMult = naMult; |
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| 321 | n->nDiv = naDiv; |
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| 322 | n->nExactDiv = naDiv; |
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| 323 | n->nIntDiv = naIntDiv; |
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| 324 | n->nNeg = naNeg; |
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| 325 | n->nInvers = naInvers; |
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| 326 | n->nCopy = naCopy; |
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| 327 | n->cfCopy = na_Copy; |
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| 328 | n->nGreater = naGreater; |
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| 329 | n->nEqual = naEqual; |
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| 330 | n->nIsZero = naIsZero; |
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| 331 | n->nIsOne = naIsOne; |
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| 332 | n->nIsMOne = naIsMOne; |
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| 333 | n->nGreaterZero= naGreaterZero; |
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| 334 | n->nWrite = naWrite; |
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| 335 | n->nRead = naRead; |
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| 336 | n->nPower = naPower; |
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| 337 | n->nGcd = naGcd; |
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| 338 | n->nLcm = naLcm; |
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| 339 | n->cfSetMap = naSetMap; |
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| 340 | n->nName = naName; |
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| 341 | n->nSize = naSize; |
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| 342 | n->n_GetDenom = naGetDenom; |
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| 343 | #ifdef LDEBUG |
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[3332cc6] | 344 | n->nDBTest = naDBTest; |
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[35aab3] | 345 | #endif |
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| 346 | } |
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[585bbcb] | 347 | #ifdef HAVE_RING2TOM |
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| 348 | /* -------------- Z/2^m ----------------------- */ |
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| 349 | else if (rField_is_Ring_2toM(r)) |
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| 350 | { |
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| 351 | nr2mInitExp(c,r); |
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| 352 | n->nInit = nr2mInit; |
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| 353 | n->nCopy = ndCopy; |
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| 354 | n->nInt = nr2mInt; |
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| 355 | n->nAdd = nr2mAdd; |
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| 356 | n->nSub = nr2mSub; |
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| 357 | n->nMult = nr2mMult; |
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| 358 | n->nDiv = nr2mDiv; |
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[f92547] | 359 | n->nIntDiv = nr2mIntDiv; |
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[585bbcb] | 360 | n->nExactDiv= nr2mDiv; |
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| 361 | n->nNeg = nr2mNeg; |
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| 362 | n->nInvers= nr2mInvers; |
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[009d80] | 363 | n->nDivBy = nr2mDivBy; |
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[d351d8] | 364 | n->nDivComp = nr2mDivComp; |
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[585bbcb] | 365 | n->nGreater = nr2mGreater; |
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| 366 | n->nEqual = nr2mEqual; |
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| 367 | n->nIsZero = nr2mIsZero; |
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| 368 | n->nIsOne = nr2mIsOne; |
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| 369 | n->nIsMOne = nr2mIsMOne; |
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| 370 | n->nGreaterZero = nr2mGreaterZero; |
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| 371 | n->nWrite = nr2mWrite; |
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| 372 | n->nRead = nr2mRead; |
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| 373 | n->nPower = nr2mPower; |
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| 374 | n->cfSetMap = nr2mSetMap; |
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| 375 | n->nNormalize = nDummy2; |
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[f92547] | 376 | n->nLcm = nr2mLcm; |
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| 377 | n->nGcd = nr2mGcd; |
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[1e579c6] | 378 | n->nIsUnit = nr2mIsUnit; |
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| 379 | n->nGetUnit = nr2mGetUnit; |
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| 380 | n->nExtGcd = nr2mExtGcd; |
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[585bbcb] | 381 | n->nName= ndName; |
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| 382 | #ifdef LDEBUG |
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[3332cc6] | 383 | n->nDBTest=nr2mDBTest; |
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[994445] | 384 | #endif |
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| 385 | } |
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| 386 | #endif |
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| 387 | #ifdef HAVE_RINGMODN |
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| 388 | /* -------------- Z/n ----------------------- */ |
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[12ea9d] | 389 | else if (rField_is_Ring_ModN(r) || rField_is_Ring_PtoM(r) |
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| 390 | ) |
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[994445] | 391 | { |
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| 392 | nrnInitExp(c,r); |
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| 393 | n->nInit = nrnInit; |
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[bac8611] | 394 | n->cfDelete= nrnDelete; |
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| 395 | n->nCopy = nrnCopy; |
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| 396 | n->cfCopy = cfrnCopy; |
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| 397 | n->nSize = nrnSize; |
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[994445] | 398 | n->nInt = nrnInt; |
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| 399 | n->nAdd = nrnAdd; |
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| 400 | n->nSub = nrnSub; |
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| 401 | n->nMult = nrnMult; |
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| 402 | n->nDiv = nrnDiv; |
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[bac8611] | 403 | n->nIntDiv= nrnIntDiv; |
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[994445] | 404 | n->nExactDiv= nrnDiv; |
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| 405 | n->nNeg = nrnNeg; |
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| 406 | n->nInvers= nrnInvers; |
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[009d80] | 407 | n->nDivBy = nrnDivBy; |
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[d351d8] | 408 | n->nDivComp = nrnDivComp; |
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[994445] | 409 | n->nGreater = nrnGreater; |
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| 410 | n->nEqual = nrnEqual; |
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| 411 | n->nIsZero = nrnIsZero; |
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| 412 | n->nIsOne = nrnIsOne; |
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| 413 | n->nIsMOne = nrnIsMOne; |
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| 414 | n->nGreaterZero = nrnGreaterZero; |
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| 415 | n->nWrite = nrnWrite; |
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| 416 | n->nRead = nrnRead; |
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| 417 | n->nPower = nrnPower; |
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| 418 | n->cfSetMap = nrnSetMap; |
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| 419 | n->nNormalize = nDummy2; |
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| 420 | n->nLcm = nrnLcm; |
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| 421 | n->nGcd = nrnGcd; |
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[1e579c6] | 422 | n->nIsUnit = nrnIsUnit; |
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| 423 | n->nGetUnit = nrnGetUnit; |
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| 424 | n->nExtGcd = nrnExtGcd; |
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[994445] | 425 | n->nName= ndName; |
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| 426 | #ifdef LDEBUG |
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[3332cc6] | 427 | n->nDBTest=nrnDBTest; |
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[585bbcb] | 428 | #endif |
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| 429 | } |
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[1e579c6] | 430 | #endif |
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| 431 | #ifdef HAVE_RINGZ |
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| 432 | /* -------------- Z ----------------------- */ |
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| 433 | else if (rField_is_Ring_Z(r)) |
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| 434 | { |
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| 435 | n->nInit = nrzInit; |
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[bac8611] | 436 | n->cfDelete= nrzDelete; |
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| 437 | n->nCopy = nrzCopy; |
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| 438 | n->cfCopy = cfrzCopy; |
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| 439 | n->nSize = nrzSize; |
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[1e579c6] | 440 | n->nInt = nrzInt; |
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| 441 | n->nAdd = nrzAdd; |
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| 442 | n->nSub = nrzSub; |
---|
| 443 | n->nMult = nrzMult; |
---|
| 444 | n->nDiv = nrzDiv; |
---|
| 445 | n->nIntDiv = nrzIntDiv; |
---|
| 446 | n->nExactDiv= nrzDiv; |
---|
| 447 | n->nNeg = nrzNeg; |
---|
| 448 | n->nInvers= nrzInvers; |
---|
| 449 | n->nDivBy = nrzDivBy; |
---|
[d351d8] | 450 | n->nDivComp = nrzDivComp; |
---|
[1e579c6] | 451 | n->nGreater = nrzGreater; |
---|
| 452 | n->nEqual = nrzEqual; |
---|
| 453 | n->nIsZero = nrzIsZero; |
---|
| 454 | n->nIsOne = nrzIsOne; |
---|
| 455 | n->nIsMOne = nrzIsMOne; |
---|
| 456 | n->nGreaterZero = nrzGreaterZero; |
---|
| 457 | n->nWrite = nrzWrite; |
---|
| 458 | n->nRead = nrzRead; |
---|
| 459 | n->nPower = nrzPower; |
---|
| 460 | n->cfSetMap = nrzSetMap; |
---|
| 461 | n->nNormalize = nDummy2; |
---|
| 462 | n->nLcm = nrzLcm; |
---|
| 463 | n->nGcd = nrzGcd; |
---|
| 464 | n->nIsUnit = nrzIsUnit; |
---|
| 465 | n->nGetUnit = nrzGetUnit; |
---|
| 466 | n->nExtGcd = nrzExtGcd; |
---|
| 467 | n->nName= ndName; |
---|
| 468 | #ifdef LDEBUG |
---|
[85e68dd] | 469 | n->nDBTest=ndDBTest; // not yet implemented: nrzDBTest; |
---|
[1e579c6] | 470 | #endif |
---|
| 471 | } |
---|
[585bbcb] | 472 | #endif |
---|
[35aab3] | 473 | else if (rField_is_Q(r)) |
---|
| 474 | { |
---|
| 475 | n->cfDelete= nlDelete; |
---|
| 476 | n->nNew = nlNew; |
---|
| 477 | n->nNormalize=nlNormalize; |
---|
| 478 | n->nInit = nlInit; |
---|
| 479 | n->nInt = nlInt; |
---|
| 480 | n->nAdd = nlAdd; |
---|
| 481 | n->nSub = nlSub; |
---|
| 482 | n->nMult = nlMult; |
---|
| 483 | n->nInpMult=nlInpMult; |
---|
| 484 | n->nDiv = nlDiv; |
---|
| 485 | n->nExactDiv= nlExactDiv; |
---|
| 486 | n->nIntDiv= nlIntDiv; |
---|
| 487 | n->nIntMod= nlIntMod; |
---|
| 488 | n->nNeg = nlNeg; |
---|
| 489 | n->nInvers= nlInvers; |
---|
| 490 | n->nCopy = nlCopy; |
---|
| 491 | n->nGreater = nlGreater; |
---|
| 492 | n->nEqual = nlEqual; |
---|
| 493 | n->nIsZero = nlIsZero; |
---|
| 494 | n->nIsOne = nlIsOne; |
---|
| 495 | n->nIsMOne = nlIsMOne; |
---|
| 496 | n->nGreaterZero = nlGreaterZero; |
---|
| 497 | n->nWrite = nlWrite; |
---|
| 498 | n->nRead = nlRead; |
---|
| 499 | n->nPower = nlPower; |
---|
| 500 | n->nGcd = nlGcd; |
---|
| 501 | n->nLcm = nlLcm; |
---|
| 502 | n->cfSetMap = nlSetMap; |
---|
| 503 | n->nSize = nlSize; |
---|
| 504 | n->n_GetDenom = nlGetDenom; |
---|
| 505 | #ifdef LDEBUG |
---|
[3332cc6] | 506 | n->nDBTest=nlDBTest; |
---|
[35aab3] | 507 | #endif |
---|
| 508 | } |
---|
| 509 | else if (rField_is_Zp(r)) |
---|
| 510 | /*----------------------char. p----------------*/ |
---|
| 511 | { |
---|
| 512 | npInitChar(c,r); |
---|
| 513 | n->nInit = npInit; |
---|
| 514 | n->nInt = npInt; |
---|
| 515 | n->nAdd = npAdd; |
---|
| 516 | n->nSub = npSub; |
---|
| 517 | n->nMult = npMult; |
---|
| 518 | n->nDiv = npDiv; |
---|
| 519 | n->nExactDiv= npDiv; |
---|
| 520 | n->nNeg = npNeg; |
---|
| 521 | n->nInvers= npInvers; |
---|
| 522 | n->nCopy = ndCopy; |
---|
| 523 | n->nGreater = npGreater; |
---|
| 524 | n->nEqual = npEqual; |
---|
| 525 | n->nIsZero = npIsZero; |
---|
| 526 | n->nIsOne = npIsOne; |
---|
| 527 | n->nIsMOne = npIsMOne; |
---|
| 528 | n->nGreaterZero = npGreaterZero; |
---|
| 529 | n->nWrite = npWrite; |
---|
| 530 | n->nRead = npRead; |
---|
| 531 | n->nPower = npPower; |
---|
| 532 | n->cfSetMap = npSetMap; |
---|
| 533 | /* nName= ndName; */ |
---|
| 534 | /*nSize = ndSize;*/ |
---|
| 535 | #ifdef LDEBUG |
---|
[3332cc6] | 536 | n->nDBTest=npDBTest; |
---|
[35aab3] | 537 | #endif |
---|
| 538 | #ifdef NV_OPS |
---|
| 539 | if (c>NV_MAX_PRIME) |
---|
| 540 | { |
---|
| 541 | n->nMult = nvMult; |
---|
| 542 | n->nDiv = nvDiv; |
---|
| 543 | n->nExactDiv= nvDiv; |
---|
| 544 | n->nInvers= nvInvers; |
---|
| 545 | } |
---|
| 546 | #endif |
---|
| 547 | } |
---|
| 548 | /* -------------- GF(p^m) -----------------------*/ |
---|
| 549 | else if (rField_is_GF(r)) |
---|
| 550 | { |
---|
| 551 | //nfSetChar(c,r->parameter); |
---|
| 552 | n->nInit = nfInit; |
---|
| 553 | n->nPar = nfPar; |
---|
| 554 | n->nParDeg= nfParDeg; |
---|
| 555 | n->nInt = nfInt; |
---|
| 556 | n->nAdd = nfAdd; |
---|
| 557 | n->nSub = nfSub; |
---|
| 558 | n->nMult = nfMult; |
---|
| 559 | n->nDiv = nfDiv; |
---|
| 560 | n->nExactDiv= nfDiv; |
---|
| 561 | n->nNeg = nfNeg; |
---|
| 562 | n->nInvers= nfInvers; |
---|
| 563 | n->nCopy = ndCopy; |
---|
| 564 | n->nGreater = nfGreater; |
---|
| 565 | n->nEqual = nfEqual; |
---|
| 566 | n->nIsZero = nfIsZero; |
---|
| 567 | n->nIsOne = nfIsOne; |
---|
| 568 | n->nIsMOne = nfIsMOne; |
---|
| 569 | n->nGreaterZero = nfGreaterZero; |
---|
| 570 | n->nWrite = nfWrite; |
---|
| 571 | n->nRead = nfRead; |
---|
| 572 | n->nPower = nfPower; |
---|
| 573 | n->cfSetMap = nfSetMap; |
---|
| 574 | n->nName= nfName; |
---|
| 575 | /*nSize = ndSize;*/ |
---|
| 576 | #ifdef LDEBUG |
---|
[3332cc6] | 577 | n->nDBTest=nfDBTest; |
---|
[35aab3] | 578 | #endif |
---|
| 579 | } |
---|
| 580 | /* -------------- R -----------------------*/ |
---|
| 581 | //if (c==(-1)) |
---|
| 582 | else if (rField_is_R(r)) |
---|
| 583 | { |
---|
| 584 | n->nInit = nrInit; |
---|
| 585 | n->nInt = nrInt; |
---|
| 586 | n->nAdd = nrAdd; |
---|
| 587 | n->nSub = nrSub; |
---|
| 588 | n->nMult = nrMult; |
---|
| 589 | n->nDiv = nrDiv; |
---|
| 590 | n->nExactDiv= nrDiv; |
---|
| 591 | n->nNeg = nrNeg; |
---|
| 592 | n->nInvers= nrInvers; |
---|
| 593 | n->nCopy = ndCopy; |
---|
| 594 | n->nGreater = nrGreater; |
---|
| 595 | n->nEqual = nrEqual; |
---|
| 596 | n->nIsZero = nrIsZero; |
---|
| 597 | n->nIsOne = nrIsOne; |
---|
| 598 | n->nIsMOne = nrIsMOne; |
---|
| 599 | n->nGreaterZero = nrGreaterZero; |
---|
| 600 | n->nWrite = nrWrite; |
---|
| 601 | n->nRead = nrRead; |
---|
| 602 | n->nPower = nrPower; |
---|
| 603 | n->cfSetMap=nrSetMap; |
---|
| 604 | /* nName= ndName; */ |
---|
| 605 | /*nSize = ndSize;*/ |
---|
| 606 | #ifdef LDEBUG |
---|
[85e68dd] | 607 | n->nDBTest=ndDBTest; // not yet implemented: nrDBTest; |
---|
[35aab3] | 608 | #endif |
---|
| 609 | } |
---|
| 610 | /* -------------- long R -----------------------*/ |
---|
| 611 | else if (rField_is_long_R(r)) |
---|
| 612 | { |
---|
| 613 | n->cfDelete= ngfDelete; |
---|
| 614 | n->nNew=ngfNew; |
---|
| 615 | n->nInit = ngfInit; |
---|
| 616 | n->nInt = ngfInt; |
---|
| 617 | n->nAdd = ngfAdd; |
---|
| 618 | n->nSub = ngfSub; |
---|
| 619 | n->nMult = ngfMult; |
---|
| 620 | n->nDiv = ngfDiv; |
---|
| 621 | n->nExactDiv= ngfDiv; |
---|
| 622 | n->nNeg = ngfNeg; |
---|
| 623 | n->nInvers= ngfInvers; |
---|
| 624 | n->nCopy = ngfCopy; |
---|
| 625 | n->nGreater = ngfGreater; |
---|
| 626 | n->nEqual = ngfEqual; |
---|
| 627 | n->nIsZero = ngfIsZero; |
---|
| 628 | n->nIsOne = ngfIsOne; |
---|
| 629 | n->nIsMOne = ngfIsMOne; |
---|
| 630 | n->nGreaterZero = ngfGreaterZero; |
---|
| 631 | n->nWrite = ngfWrite; |
---|
| 632 | n->nRead = ngfRead; |
---|
| 633 | n->nPower = ngfPower; |
---|
| 634 | n->cfSetMap=ngfSetMap; |
---|
| 635 | n->nName= ndName; |
---|
| 636 | n->nSize = ndSize; |
---|
| 637 | #ifdef LDEBUG |
---|
[85e68dd] | 638 | n->nDBTest=ndDBTest; // not yet implemented: ngfDBTest |
---|
[35aab3] | 639 | #endif |
---|
| 640 | } |
---|
| 641 | /* -------------- long C -----------------------*/ |
---|
| 642 | else if (rField_is_long_C(r)) |
---|
| 643 | { |
---|
| 644 | n->cfDelete= ngcDelete; |
---|
| 645 | n->nNew=ngcNew; |
---|
| 646 | n->nNormalize=nDummy2; |
---|
| 647 | n->nInit = ngcInit; |
---|
| 648 | n->nInt = ngcInt; |
---|
| 649 | n->nAdd = ngcAdd; |
---|
| 650 | n->nSub = ngcSub; |
---|
| 651 | n->nMult = ngcMult; |
---|
| 652 | n->nDiv = ngcDiv; |
---|
| 653 | n->nExactDiv= ngcDiv; |
---|
| 654 | n->nNeg = ngcNeg; |
---|
| 655 | n->nInvers= ngcInvers; |
---|
| 656 | n->nCopy = ngcCopy; |
---|
| 657 | n->nGreater = ngcGreater; |
---|
| 658 | n->nEqual = ngcEqual; |
---|
| 659 | n->nIsZero = ngcIsZero; |
---|
| 660 | n->nIsOne = ngcIsOne; |
---|
| 661 | n->nIsMOne = ngcIsMOne; |
---|
| 662 | n->nGreaterZero = ngcGreaterZero; |
---|
| 663 | n->nWrite = ngcWrite; |
---|
| 664 | n->nRead = ngcRead; |
---|
| 665 | n->nPower = ngcPower; |
---|
| 666 | n->cfSetMap=ngcSetMap; |
---|
| 667 | n->nPar=ngcPar; |
---|
| 668 | n->nRePart=ngcRePart; |
---|
| 669 | n->nImPart=ngcImPart; |
---|
| 670 | /*nSize = ndSize;*/ |
---|
| 671 | #ifdef LDEBUG |
---|
[85e68dd] | 672 | n->nDBTest=ndDBTest; // not yet implemented: ngcDBTest |
---|
[35aab3] | 673 | #endif |
---|
| 674 | } |
---|
| 675 | #ifdef TEST |
---|
| 676 | else |
---|
| 677 | { |
---|
| 678 | WerrorS("unknown field"); |
---|
| 679 | } |
---|
[50be61] | 680 | #endif |
---|
| 681 | #ifdef HAVE_RINGS |
---|
| 682 | if (n->nGetUnit==(nMapFunc)NULL) n->nGetUnit=n->nCopy; |
---|
[35aab3] | 683 | #endif |
---|
| 684 | if (!errorreported) |
---|
| 685 | { |
---|
| 686 | n->nNULL=n->nInit(0); |
---|
| 687 | if (n->nRePart==NULL) |
---|
| 688 | n->nRePart=n->nCopy; |
---|
| 689 | if (n->nIntDiv==NULL) |
---|
| 690 | n->nIntDiv=n->nDiv; |
---|
| 691 | } |
---|
| 692 | } |
---|
| 693 | |
---|
| 694 | void nKillChar(ring r) |
---|
| 695 | { |
---|
| 696 | if (r!=NULL) |
---|
| 697 | { |
---|
| 698 | if (r->cf!=NULL) |
---|
| 699 | { |
---|
| 700 | r->cf->ref--; |
---|
| 701 | if (r->cf->ref<=0) |
---|
| 702 | { |
---|
| 703 | n_Procs_s tmp; |
---|
| 704 | n_Procs_s* n=&tmp; |
---|
| 705 | tmp.next=cf_root; |
---|
| 706 | while((n->next!=NULL) && (n->next!=r->cf)) n=n->next; |
---|
| 707 | if (n->next==r->cf) |
---|
| 708 | { |
---|
| 709 | n->next=n->next->next; |
---|
| 710 | if (cf_root==r->cf) cf_root=n->next; |
---|
| 711 | r->cf->cfDelete(&(r->cf->nNULL),r); |
---|
| 712 | switch(r->cf->type) |
---|
| 713 | { |
---|
| 714 | case n_Zp: |
---|
| 715 | #ifdef HAVE_DIV_MOD |
---|
| 716 | if (r->cf->npInvTable!=NULL) |
---|
| 717 | omFreeSize( (ADDRESS)r->cf->npInvTable, |
---|
| 718 | r->cf->npPrimeM*sizeof(CARDINAL) ); |
---|
| 719 | #else |
---|
| 720 | if (r->cf->npExpTable!=NULL) |
---|
| 721 | { |
---|
| 722 | omFreeSize( (ADDRESS)r->cf->npExpTable, |
---|
| 723 | r->cf->npPrimeM*sizeof(CARDINAL) ); |
---|
| 724 | omFreeSize( (ADDRESS)r->cf->npLogTable, |
---|
| 725 | r->cf->npPrimeM*sizeof(CARDINAL) ); |
---|
| 726 | } |
---|
| 727 | #endif |
---|
| 728 | break; |
---|
[45ce3a4] | 729 | case n_Zp_a: |
---|
| 730 | case n_Q_a: |
---|
| 731 | { |
---|
| 732 | number n=r->minpoly; |
---|
| 733 | if (n!=NULL) |
---|
| 734 | { |
---|
| 735 | r->minpoly=NULL; |
---|
| 736 | if (r==currRing) naMinimalPoly=NULL; |
---|
| 737 | naDelete(&n,r); |
---|
| 738 | } |
---|
| 739 | } |
---|
| 740 | break; |
---|
[35aab3] | 741 | |
---|
| 742 | default: |
---|
| 743 | break; |
---|
| 744 | } |
---|
| 745 | omFreeSize((ADDRESS)r->cf, sizeof(n_Procs_s)); |
---|
| 746 | r->cf=NULL; |
---|
| 747 | } |
---|
| 748 | else |
---|
| 749 | { |
---|
| 750 | WarnS("cf_root list destroyed"); |
---|
| 751 | } |
---|
| 752 | } |
---|
| 753 | } |
---|
| 754 | if (r->algring!=NULL) |
---|
| 755 | { |
---|
| 756 | rKill(r->algring); |
---|
| 757 | r->algring=NULL; |
---|
| 758 | } |
---|
| 759 | } |
---|
| 760 | } |
---|