source: git/kernel/numbers.h @ 06662e

spielwiese
Last change on this file since 06662e was 12cca3, checked in by Frank Seelisch <seelisch@…>, 14 years ago
new commands ludecomp(mat), and luinverse(mat [, mat, mat]) (see linearAlgebra.h for docu) git-svn-id: file:///usr/local/Singular/svn/trunk@12828 2c84dea3-7e68-4137-9b89-c4e89433aadc
  • Property mode set to 100644
File size: 4.1 KB
Line 
1#ifndef NUMBERS_H
2#define NUMBERS_H
3/****************************************
4*  Computer Algebra System SINGULAR     *
5****************************************/
6/* $Id$ */
7/*
8* ABSTRACT: interface to coefficient aritmetics
9*/
10#include "structs.h"
11
12#define n_Copy(n, r)          (r)->cf->cfCopy(n,r)
13#define n_Delete(n, r)        (r)->cf->cfDelete(n,r)
14#define n_Mult(n1, n2, r)     (r)->cf->nMult(n1, n2)
15#define n_Add(n1, n2, r)      (r)->cf->nAdd(n1, n2)
16#define n_IsZero(n, r)        (r)->cf->nIsZero(n)
17#define n_Equal(n1, n2, r)    (r)->cf->nEqual(n1, n2)
18#define n_Neg(n, r)           (r)->cf->nNeg(n)
19#define n_Sub(n1, n2, r)      (r)->cf->nSub(n1, n2)
20//#define n_GetChar(r)          ((r)->cf->nChar)
21#define n_GetChar(r)          ((r)->ch)
22#define n_Init(i, r)          (r)->cf->cfInit(i,r)
23#define n_IsOne(n, r)         (r)->cf->nIsOne(n)
24#define n_IsMOne(n, r)        (r)->cf->nIsMOne(n)
25#define n_GreaterZero(n, r)   (r)->cf->nGreaterZero(n)
26#define n_Write(n, r)         (r)->cf->cfWrite(n,r)
27#define n_Normalize(n, r)     (r)->cf->nNormalize(n)
28#define n_Gcd(a, b, r)        (r)->cf->nGcd(a,b,r)
29#define n_IntDiv(a, b, r)     (r)->cf->nIntDiv(a,b)
30#define n_Div(a, b, r)        (r)->cf->nDiv(a,b)
31#define n_Invers(a, r)     (r)->cf->nInvers(a)
32#define n_ExactDiv(a, b, r)   (r)->cf->nExactDiv(a,b)
33#define n_Test(a,r)           (r)->cf->nDBTest(a,__FILE__,__LINE__)
34
35#define n_InpMult(a, b, r)    (r)->cf->nInpMult(a,b,r)
36#define n_Power(a, b, res, r) (r)->cf->nPower(a,b,res)
37#define n_Size(n,r)           (r)->cf->nSize(n)
38#define n_GetDenom(N,r)       (r)->cf->cfGetDenom((N),r)
39#define n_GetNumerator(N,r)   (r)->cf->cfGetNumerator((N),r)
40
41#define n_New(n, r)           nNew(n)
42
43/* variables */
44extern unsigned short fftable[];
45
46/* prototypes */
47extern numberfunc nMult, nSub ,nAdd ,nDiv, nIntDiv, nIntMod, nExactDiv;
48void           nNew(number * a);
49extern number  (*nInit_bigint)(number i);
50#define        nInit(i) n_Init(i,currRing)
51extern number  (*nPar)(int i);
52extern int     (*nParDeg)(number n);
53/* size: a measure for the complexity of the represented number n;
54         zero should have size zero; larger size means more complex */
55extern int     (*nSize)(number n);
56extern int     (*n_Int)(number &n, const ring r);
57#ifdef HAVE_RINGS
58extern int     (*nDivComp)(number a,number b);
59extern BOOLEAN (*nIsUnit)(number a);
60extern number  (*nGetUnit)(number a);
61extern number  (*nExtGcd)(number a, number b, number *s, number *t);
62#endif
63// always use in the form    n=nNeg(n) !
64extern number  (*nNeg)(number a);
65extern number  (*nInvers)(number a);
66extern number  (*nCopy)(number a);
67extern number  (*nRePart)(number a);
68extern number  (*nImPart)(number a);
69#define nWrite(A) n_Write(A,currRing)
70extern const char *  (*nRead)(const char * s, number * a);
71extern void    (*nNormalize)(number &a);
72extern BOOLEAN (*nGreater)(number a,number b),
73#ifdef HAVE_RINGS
74               (*nDivBy)(number a,number b),
75#endif
76               (*nEqual)(number a,number b),
77               (*nIsZero)(number a),
78               (*nIsOne)(number a),
79               (*nIsMOne)(number a),
80               (*nGreaterZero)(number a);
81extern void    (*nPower)(number a, int i, number * result);
82extern number (*nGcd)(number a, number b, const ring r);
83extern number (*nLcm)(number a, number b, const ring r);
84
85extern number nNULL; /* the 0 as constant */
86
87#define nTest(a) (1)
88#define nDelete(A) (currRing)->cf->cfDelete(A,currRing)
89#define nGetDenom(N) (currRing->cf->cfGetDenom((N),currRing))
90#define nGetNumerator(N) (currRing->cf->cfGetNumerator((N),currRing))
91
92#define nSetMap(R) (currRing->cf->cfSetMap(R,currRing))
93extern char *  (*nName)(number n);
94
95void nDummy1(number* d);
96void ndDelete(number* d, const ring r);
97void nDummy2(number &d);
98number ndGcd(number a, number b, const ring);
99number ndCopy(number a);
100void   ndInpMult(number &a, number b, const ring r);
101number ndInpAdd(number &a, number b, const ring r);
102
103#ifdef LDEBUG
104void nDBDummy1(number* d,char *f, int l);
105#endif
106#define nGetChar() n_GetChar(currRing)
107
108void nInitChar(ring r);
109void nKillChar(ring r);
110void nSetChar(ring r);
111
112#define nDivBy0 "div by 0"
113
114// dummy routines
115void   nDummy2(number& d); // nNormalize...
116#endif
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