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Macros | Typedefs | Functions | Variables
numbers.h File Reference
#include "coeffs/coeffs.h"

Go to the source code of this file.

Macros

#define nCopy(n)   n_Copy(n, currRing->cf)
 
#define nDelete(n)   n_Delete(n, currRing->cf)
 
#define nMult(n1, n2)   n_Mult(n1, n2, currRing->cf)
 
#define nAdd(n1, n2)   n_Add(n1, n2, currRing->cf)
 
#define nIsZero(n)   n_IsZero(n, currRing->cf)
 
#define nEqual(n1, n2)   n_Equal(n1, n2, currRing->cf)
 
#define nInpNeg(n)   n_InpNeg(n, currRing->cf)
 
#define nSub(n1, n2)   n_Sub(n1, n2, currRing->cf)
 
#define nGetChar()   n_GetChar(currRing->cf)
 
#define nInit(i)   n_Init(i, currRing->cf)
 
#define nIsOne(n)   n_IsOne(n, currRing->cf)
 
#define nIsMOne(n)   n_IsMOne(n, currRing->cf)
 
#define nGreaterZero(n)   n_GreaterZero(n, currRing->cf)
 
#define nGreater(a, b)   n_Greater (a,b,currRing->cf)
 
#define nWrite(n)   n_Write(n, currRing->cf, rShortOut(currRing))
 
#define nNormalize(n)   n_Normalize(n,currRing->cf)
 
#define nGcd(a, b)   n_Gcd(a,b,currRing->cf)
 
#define nDiv(a, b)   n_Div(a,b,currRing->cf)
 
#define nInvers(a)   n_Invers(a,currRing->cf)
 
#define nExactDiv(a, b)   n_ExactDiv(a,b,currRing->cf)
 
#define nTest(a)   n_Test(a,currRing->cf)
 
#define nInpMult(a, b)   n_InpMult(a,b,currRing->cf)
 
#define nPower(a, b, res)   n_Power(a,b,res,currRing->cf)
 
#define nSize(n)   n_Size(n,currRing->cf)
 
#define nGetDenom(N)   n_GetDenom((N),currRing->cf)
 
#define nGetNumerator(N)   n_GetNumerator((N),currRing->cf)
 
#define nSetMap(R)   n_SetMap(R,currRing->cf)
 
#define nPrint(a)   n_Print(a,currRing->cf)
 only for debug, over any initalized currRing More...
 
#define SHORT_REAL_LENGTH   6
 

Typedefs

typedef BOOLEAN(* cfInitCharProc) (coeffs, void *)
 initialize an object of type coeff, return FALSE in case of success More...
 
typedef coeffs(* cfInitCfByNameProc) (char *s, n_coeffType n)
 initialize an object of type coeffs by its name, return NULL otherwise More...
 

Functions

number ndGcd (number a, number b, const coeffs)
 
CanonicalForm ndConvSingNFactoryN (number, BOOLEAN, const coeffs)
 
BOOLEAN n_IsZeroDivisor (number a, const coeffs r)
 Test whether a is a zero divisor in r i.e. not coprime with char. of r very inefficient implementation: should ONLY be used for debug stuff /tests. More...
 
void ndNormalize (number &, const coeffs)
 
n_coeffType nRegister (n_coeffType n, cfInitCharProc p)
 
void nRegisterCfByName (cfInitCfByNameProc p, n_coeffType n)
 
coeffs nFindCoeffByName (char *n)
 find an existing coeff by its "CoeffName" More...
 
char * nEati (char *s, int *i, int m)
 divide by the first (leading) number and return it, i.e. make monic More...
 
char * nEatLong (char *s, mpz_ptr i)
 extracts a long integer from s, returns the rest More...
 

Variables

const char *const nDivBy0 = "div by 0"
 

Macro Definition Documentation

◆ nAdd

#define nAdd (   n1,
  n2 
)    n_Add(n1, n2, currRing->cf)

Definition at line 18 of file numbers.h.

◆ nCopy

#define nCopy (   n)    n_Copy(n, currRing->cf)

Definition at line 15 of file numbers.h.

◆ nDelete

#define nDelete (   n)    n_Delete(n, currRing->cf)

Definition at line 16 of file numbers.h.

◆ nDiv

#define nDiv (   a,
  b 
)    n_Div(a,b,currRing->cf)

Definition at line 32 of file numbers.h.

◆ nEqual

#define nEqual (   n1,
  n2 
)    n_Equal(n1, n2, currRing->cf)

Definition at line 20 of file numbers.h.

◆ nExactDiv

#define nExactDiv (   a,
  b 
)    n_ExactDiv(a,b,currRing->cf)

Definition at line 34 of file numbers.h.

◆ nGcd

#define nGcd (   a,
  b 
)    n_Gcd(a,b,currRing->cf)

Definition at line 31 of file numbers.h.

◆ nGetChar

#define nGetChar ( )    n_GetChar(currRing->cf)

Definition at line 23 of file numbers.h.

◆ nGetDenom

#define nGetDenom (   N)    n_GetDenom((N),currRing->cf)

Definition at line 40 of file numbers.h.

◆ nGetNumerator

#define nGetNumerator (   N)    n_GetNumerator((N),currRing->cf)

Definition at line 41 of file numbers.h.

◆ nGreater

#define nGreater (   a,
  b 
)    n_Greater (a,b,currRing->cf)

Definition at line 28 of file numbers.h.

◆ nGreaterZero

#define nGreaterZero (   n)    n_GreaterZero(n, currRing->cf)

Definition at line 27 of file numbers.h.

◆ nInit

#define nInit (   i)    n_Init(i, currRing->cf)

Definition at line 24 of file numbers.h.

◆ nInpMult

#define nInpMult (   a,
  b 
)    n_InpMult(a,b,currRing->cf)

Definition at line 37 of file numbers.h.

◆ nInpNeg

#define nInpNeg (   n)    n_InpNeg(n, currRing->cf)

Definition at line 21 of file numbers.h.

◆ nInvers

#define nInvers (   a)    n_Invers(a,currRing->cf)

Definition at line 33 of file numbers.h.

◆ nIsMOne

#define nIsMOne (   n)    n_IsMOne(n, currRing->cf)

Definition at line 26 of file numbers.h.

◆ nIsOne

#define nIsOne (   n)    n_IsOne(n, currRing->cf)

Definition at line 25 of file numbers.h.

◆ nIsZero

#define nIsZero (   n)    n_IsZero(n, currRing->cf)

Definition at line 19 of file numbers.h.

◆ nMult

#define nMult (   n1,
  n2 
)    n_Mult(n1, n2, currRing->cf)

Definition at line 17 of file numbers.h.

◆ nNormalize

#define nNormalize (   n)    n_Normalize(n,currRing->cf)

Definition at line 30 of file numbers.h.

◆ nPower

#define nPower (   a,
  b,
  res 
)    n_Power(a,b,res,currRing->cf)

Definition at line 38 of file numbers.h.

◆ nPrint

#define nPrint (   a)    n_Print(a,currRing->cf)

only for debug, over any initalized currRing

Definition at line 46 of file numbers.h.

◆ nSetMap

#define nSetMap (   R)    n_SetMap(R,currRing->cf)

Definition at line 43 of file numbers.h.

◆ nSize

#define nSize (   n)    n_Size(n,currRing->cf)

Definition at line 39 of file numbers.h.

◆ nSub

#define nSub (   n1,
  n2 
)    n_Sub(n1, n2, currRing->cf)

Definition at line 22 of file numbers.h.

◆ nTest

#define nTest (   a)    n_Test(a,currRing->cf)

Definition at line 35 of file numbers.h.

◆ nWrite

#define nWrite (   n)    n_Write(n, currRing->cf, rShortOut(currRing))

Definition at line 29 of file numbers.h.

◆ SHORT_REAL_LENGTH

#define SHORT_REAL_LENGTH   6

Definition at line 57 of file numbers.h.

Typedef Documentation

◆ cfInitCfByNameProc

typedef coeffs(* cfInitCfByNameProc) (char *s, n_coeffType n)

initialize an object of type coeffs by its name, return NULL otherwise

Definition at line 97 of file numbers.h.

◆ cfInitCharProc

typedef BOOLEAN(* cfInitCharProc) (coeffs, void *)

initialize an object of type coeff, return FALSE in case of success

Definition at line 93 of file numbers.h.

Function Documentation

◆ n_IsZeroDivisor()

BOOLEAN n_IsZeroDivisor ( number  a,
const coeffs  r 
)

Test whether a is a zero divisor in r i.e. not coprime with char. of r very inefficient implementation: should ONLY be used for debug stuff /tests.

Definition at line 153 of file numbers.cc.

154 {
155  BOOLEAN ret = n_IsZero(a, r);
156  int c = n_GetChar(r);
157  if (ret || (c==0) || (r->is_field))
158  return ret; /*n_IsZero(a, r)*/
159  number ch = n_Init( c, r );
160  number g = n_Gcd( ch, a, r );
161  ret = !n_IsOne (g, r);
162  n_Delete(&ch, r);
163  n_Delete(&g, r);
164  return ret;
165 }
int BOOLEAN
Definition: auxiliary.h:87
g
Definition: cfModGcd.cc:4092
static FORCE_INLINE number n_Gcd(number a, number b, const coeffs r)
in Z: return the gcd of 'a' and 'b' in Z/nZ, Z/2^kZ: computed as in the case Z in Z/pZ,...
Definition: coeffs.h:687
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
Definition: coeffs.h:465
static FORCE_INLINE int n_GetChar(const coeffs r)
Return the characteristic of the coeff. domain.
Definition: coeffs.h:445
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
Definition: coeffs.h:456
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
Definition: coeffs.h:539
static FORCE_INLINE BOOLEAN n_IsOne(number n, const coeffs r)
TRUE iff 'n' represents the one element.
Definition: coeffs.h:469

◆ ndConvSingNFactoryN()

CanonicalForm ndConvSingNFactoryN ( number  ,
BOOLEAN  ,
const  coeffs 
)

Definition at line 280 of file numbers.cc.

281 {
282  CanonicalForm term(0);
283  WerrorS("no conversion to factory");
284  return term;
285 }
factory's main class
Definition: canonicalform.h:86
Definition: int_poly.h:33
void WerrorS(const char *s)
Definition: feFopen.cc:24

◆ ndGcd()

number ndGcd ( number  a,
number  b,
const  coeffs 
)

Definition at line 169 of file numbers.cc.

169 { return r->cfInit(1,r); }

◆ ndNormalize()

void ndNormalize ( number &  ,
const  coeffs 
)

Definition at line 167 of file numbers.cc.

167 { }

◆ nEati()

char* nEati ( char *  s,
int *  i,
int  m 
)

divide by the first (leading) number and return it, i.e. make monic

does nothing (just returns a dummy one number) helper routine: read an int from a string (mod m), return a pointer to the rest

Definition at line 646 of file numbers.cc.

648 {
649 
650  if (((*s) >= '0') && ((*s) <= '9'))
651  {
652  unsigned long ii=0L;
653  do
654  {
655  ii *= 10;
656  ii += *s++ - '0';
657  if ((m!=0) && (ii > (MAX_INT_VAL / 10))) ii = ii % m;
658  }
659  while (((*s) >= '0') && ((*s) <= '9'));
660  if ((m!=0) && (ii>=(unsigned)m)) ii=ii%m;
661  *i=(int)ii;
662  }
663  else (*i) = 1;
664  return s;
int m
Definition: cfEzgcd.cc:128
int i
Definition: cfEzgcd.cc:132
const CanonicalForm int s
Definition: facAbsFact.cc:51
const int MAX_INT_VAL
Definition: mylimits.h:12

◆ nEatLong()

char* nEatLong ( char *  s,
mpz_ptr  i 
)

extracts a long integer from s, returns the rest

Definition at line 667 of file numbers.cc.

669 {
670  const char * start=s;
671 
672  while (*s >= '0' && *s <= '9') s++;
673  if (*s=='\0')
674  {
675  mpz_set_str(i,start,10);
676  }
677  else
678  {
679  char c=*s;
680  *s='\0';
681  mpz_set_str(i,start,10);
682  *s=c;
683  }
684  return s;

◆ nFindCoeffByName()

coeffs nFindCoeffByName ( char *  n)

find an existing coeff by its "CoeffName"

Definition at line 604 of file numbers.cc.

606 {
607  n_Procs_s* n=cf_root;
608  // try existings coeffs:
609  while(n!=NULL)
610  {
611  if ((n->cfCoeffName!=NULL)
612  && (strcmp(cf_name,n->cfCoeffName(n))==0)) return n;
613  n=n->next;
614  }
615  // TODO: parametrized cf, e.g. flint:Z/26[a]
616  // try existing types:
617  nFindCoeffByName_p p=nFindCoeffByName_Root;
618  while(p!=NULL)
619  {
620  coeffs cf=p->p(cf_name,p->n);
621  if (cf!=NULL) return cf;
622  p=p->next;
623  }
624  return NULL;
int p
Definition: cfModGcd.cc:4080
CanonicalForm cf
Definition: cfModGcd.cc:4085
The main handler for Singular numbers which are suitable for Singular polynomials.
VAR nFindCoeffByName_p nFindCoeffByName_Root
Definition: numbers.cc:594
VAR n_Procs_s * cf_root
Definition: numbers.cc:49
#define NULL
Definition: omList.c:12
char *(* cfCoeffName)(const coeffs r)
default name of cf, should substitue cfCoeffWrite, cfCoeffString
Definition: coeffs.h:155
coeffs next
Definition: coeffs.h:126

◆ nRegister()

n_coeffType nRegister ( n_coeffType  n,
cfInitCharProc  p 
)

Definition at line 554 of file numbers.cc.

556 {
557  if (n==n_unknown)
558  {
561  {
563  ((int)nLastCoeffs+1)*sizeof(cfInitCharProc));
565  ((int)nLastCoeffs)*sizeof(cfInitCharProc));
566  }
567  else
568  {
570  ((int)nLastCoeffs)*sizeof(cfInitCharProc),
571  (((int)nLastCoeffs)+1)*sizeof(cfInitCharProc));
572  }
573 
575  return nLastCoeffs;
576  }
577  else
578  {
579  if (nInitCharTable[n]!=NULL) Print("coeff %d already initialized\n",n);
580  nInitCharTable[n]=p;
581  return n;
582  }
n_coeffType
Definition: coeffs.h:28
@ n_unknown
Definition: coeffs.h:29
#define Print
Definition: emacs.cc:80
STATIC_VAR n_coeffType nLastCoeffs
Definition: numbers.cc:320
STATIC_VAR cfInitCharProc * nInitCharTable
Definition: numbers.cc:354
VAR cfInitCharProc nInitCharTableDefault[]
Definition: numbers.cc:321
BOOLEAN(* cfInitCharProc)(coeffs, void *)
initialize an object of type coeff, return FALSE in case of success
Definition: numbers.h:93
#define omReallocSize(addr, o_size, size)
Definition: omAllocDecl.h:220
#define omAlloc0(size)
Definition: omAllocDecl.h:211

◆ nRegisterCfByName()

void nRegisterCfByName ( cfInitCfByNameProc  p,
n_coeffType  n 
)

Definition at line 595 of file numbers.cc.

597 {
598  nFindCoeffByName_p h=(nFindCoeffByName_p)omAlloc0(sizeof(*h));
599  h->p=p;
600  h->n=n;
601  h->next=nFindCoeffByName_Root;
STATIC_VAR Poly * h
Definition: janet.cc:971

Variable Documentation

◆ nDivBy0

const char* const nDivBy0 = "div by 0"

Definition at line 87 of file numbers.h.