Macros | Functions
p_Numbers.h File Reference
#include <misc/auxiliary.h>
#include <coeffs/coeffs.h>
#include <coeffs/numbers.h>
#include <polys/monomials/ring.h>
#include <coeffs/modulop.h>
#include <coeffs/longrat.cc>

Go to the source code of this file.

Macros

#define n_Copy_RingGeneral(n, r)   n_Copy_FieldGeneral(n, r)
 
#define n_Delete_RingGeneral(n, r)   n_Delete_FieldGeneral(n, r)
 
#define n_Mult_RingGeneral(n1, n2, r)   n_Mult_FieldGeneral(n1, n2, r)
 
#define n_Add_RingGeneral(n1, n2, r)   n_Add_FieldGeneral(n1, n2, r)
 
#define n_IsZero_RingGeneral(n, r)   n_IsZero_FieldGeneral(n, r)
 
#define n_Equal_RingGeneral(n1, n2, r)   n_Equal_FieldGeneral(n1, n2, r)
 
#define n_Neg_RingGeneral(n, r)   n_Neg_FieldGeneral(n, r)
 
#define n_Sub_RingGeneral(n1, n2, r)   n_Sub_FieldGeneral(n1, n2, r)
 
#define n_InpMult_RingGeneral(n1, n2, r)   n_InpMult_FieldGeneral(n1, n2, r)
 
#define n_Copy_FieldZp(n, r)   n
 
#define n_Delete_FieldZp(n, r)   do {} while (0)
 
#define DO_LFORCE_INLINE
 

Functions

static FORCE_INLINE number n_Copy_FieldGeneral (number n, const ring r)
 
static FORCE_INLINE void n_Delete_FieldGeneral (number *p, const ring r)
 
static FORCE_INLINE number n_Mult_FieldGeneral (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Add_FieldGeneral (number n1, number n2, const ring r)
 
static FORCE_INLINE BOOLEAN n_IsZero_FieldGeneral (number n, const ring r)
 
static FORCE_INLINE BOOLEAN n_Equal_FieldGeneral (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Neg_FieldGeneral (number n, const ring r)
 
static FORCE_INLINE number n_Sub_FieldGeneral (number n1, number n2, const ring r)
 
static FORCE_INLINE void n_InpMult_FieldGeneral (number &n1, number n2, const ring r)
 
static FORCE_INLINE void n_InpAdd_FieldGeneral (number &n1, number n2, const ring r)
 
static FORCE_INLINE void n_InpAdd_RingGeneral (number &n1, number n2, const ring r)
 
static FORCE_INLINE number n_Mult_FieldZp (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Add_FieldZp (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Sub_FieldZp (number n1, number n2, const ring r)
 
static FORCE_INLINE BOOLEAN n_IsZero_FieldZp (number n, const ring r)
 
static FORCE_INLINE BOOLEAN n_Equal_FieldZp (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Neg_FieldZp (number n, const ring r)
 
static FORCE_INLINE void n_InpMult_FieldZp (number &n1, number n2, const ring r)
 
static FORCE_INLINE void n_InpAdd_FieldZp (number &n1, number n2, const ring r)
 
static FORCE_INLINE number n_Copy_FieldQ (number n, const ring r)
 
static FORCE_INLINE void n_Delete_FieldQ (number *n, const ring r)
 
static FORCE_INLINE number n_Mult_FieldQ (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Add_FieldQ (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Sub_FieldQ (number n1, number n2, const ring r)
 
static FORCE_INLINE BOOLEAN n_IsZero_FieldQ (number n, const ring r)
 
static FORCE_INLINE BOOLEAN n_Equal_FieldQ (number n1, number n2, const ring r)
 
static FORCE_INLINE number n_Neg_FieldQ (number n, const ring r)
 
static FORCE_INLINE void n_InpMult_FieldQ (number &n1, number n2, const ring r)
 
static FORCE_INLINE void n_InpAdd_FieldQ (number &n1, number n2, const ring r)
 

Macro Definition Documentation

#define DO_LFORCE_INLINE

Definition at line 120 of file p_Numbers.h.

#define n_Add_RingGeneral (   n1,
  n2,
  r 
)    n_Add_FieldGeneral(n1, n2, r)

Definition at line 52 of file p_Numbers.h.

#define n_Copy_FieldZp (   n,
  r 
)    n

Definition at line 66 of file p_Numbers.h.

#define n_Copy_RingGeneral (   n,
  r 
)    n_Copy_FieldGeneral(n, r)

Definition at line 49 of file p_Numbers.h.

#define n_Delete_FieldZp (   n,
  r 
)    do {} while (0)

Definition at line 67 of file p_Numbers.h.

#define n_Delete_RingGeneral (   n,
  r 
)    n_Delete_FieldGeneral(n, r)

Definition at line 50 of file p_Numbers.h.

#define n_Equal_RingGeneral (   n1,
  n2,
  r 
)    n_Equal_FieldGeneral(n1, n2, r)

Definition at line 54 of file p_Numbers.h.

#define n_InpMult_RingGeneral (   n1,
  n2,
  r 
)    n_InpMult_FieldGeneral(n1, n2, r)

Definition at line 58 of file p_Numbers.h.

#define n_IsZero_RingGeneral (   n,
  r 
)    n_IsZero_FieldGeneral(n, r)

Definition at line 53 of file p_Numbers.h.

#define n_Mult_RingGeneral (   n1,
  n2,
  r 
)    n_Mult_FieldGeneral(n1, n2, r)

Definition at line 51 of file p_Numbers.h.

#define n_Neg_RingGeneral (   n,
  r 
)    n_Neg_FieldGeneral(n, r)

Definition at line 55 of file p_Numbers.h.

#define n_Sub_RingGeneral (   n1,
  n2,
  r 
)    n_Sub_FieldGeneral(n1, n2, r)

Definition at line 56 of file p_Numbers.h.

Function Documentation

static FORCE_INLINE number n_Add_FieldGeneral ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 27 of file p_Numbers.h.

28 { return n_Add(n1, n2, r->cf); }
r
const ring r
Definition: syzextra.cc:208
n_Add
static FORCE_INLINE number n_Add(number a, number b, const coeffs r)
return the sum of 'a' and 'b', i.e., a+b
Definition: coeffs.h:653
static FORCE_INLINE number n_Add_FieldQ ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 140 of file p_Numbers.h.

141 { return nlAdd(n1, n2, r->cf); }
nlAdd
LINLINE number nlAdd(number la, number li, const coeffs r)
Definition: longrat.cc:2439
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE number n_Add_FieldZp ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 80 of file p_Numbers.h.

81 { return npAddM(n1, n2, r->cf); }
r
const ring r
Definition: syzextra.cc:208
npAddM
static number npAddM(number a, number b, const coeffs r)
Definition: modulop.h:77
static FORCE_INLINE number n_Copy_FieldGeneral ( number  n,
const ring  r 
)
static

Definition at line 18 of file p_Numbers.h.

19 { return n_Copy(n,r->cf); }
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
n_Copy
static FORCE_INLINE number n_Copy(number n, const coeffs r)
return a copy of 'n'
Definition: coeffs.h:451
static FORCE_INLINE number n_Copy_FieldQ ( number  n,
const ring  r 
)
static

Definition at line 123 of file p_Numbers.h.

124 { STATISTIC(n_Copy); return nlCopy(n, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
n_Copy
static FORCE_INLINE number n_Copy(number n, const coeffs r)
return a copy of 'n'
Definition: coeffs.h:451
nlCopy
LINLINE number nlCopy(number a, const coeffs r)
Definition: longrat.cc:2391
static FORCE_INLINE void n_Delete_FieldGeneral ( number *  p,
const ring  r 
)
static

Definition at line 21 of file p_Numbers.h.

22 { n_Delete(p,r->cf); }
p
return P p
Definition: myNF.cc:203
r
const ring r
Definition: syzextra.cc:208
n_Delete
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
Definition: coeffs.h:455
static FORCE_INLINE void n_Delete_FieldQ ( number *  n,
const ring  r 
)
static

Definition at line 126 of file p_Numbers.h.

127 { STATISTIC(n_Delete); nlDelete(n,r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
nlDelete
LINLINE void nlDelete(number *a, const coeffs r)
Definition: longrat.cc:2404
n_Delete
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
Definition: coeffs.h:455
static FORCE_INLINE BOOLEAN n_Equal_FieldGeneral ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 33 of file p_Numbers.h.

34 { return n_Equal(n1, n2, r->cf); }
r
const ring r
Definition: syzextra.cc:208
n_Equal
static FORCE_INLINE BOOLEAN n_Equal(number a, number b, const coeffs r)
TRUE iff 'a' and 'b' represent the same number; they may have different representations.
Definition: coeffs.h:460
static FORCE_INLINE BOOLEAN n_Equal_FieldQ ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 159 of file p_Numbers.h.

160 { STATISTIC(n_Equal); return nlEqual(n1, n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
r
const ring r
Definition: syzextra.cc:208
nlEqual
LINLINE BOOLEAN nlEqual(number a, number b, const coeffs r)
Definition: longrat.cc:2335
n_Equal
static FORCE_INLINE BOOLEAN n_Equal(number a, number b, const coeffs r)
TRUE iff 'a' and 'b' represent the same number; they may have different representations.
Definition: coeffs.h:460
static FORCE_INLINE BOOLEAN n_Equal_FieldZp ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 99 of file p_Numbers.h.

100 { STATISTIC(n_Equal); return npEqualM(n1, n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
npEqualM
#define npEqualM(A, B, r)
Definition: modulop.h:132
r
const ring r
Definition: syzextra.cc:208
n_Equal
static FORCE_INLINE BOOLEAN n_Equal(number a, number b, const coeffs r)
TRUE iff 'a' and 'b' represent the same number; they may have different representations.
Definition: coeffs.h:460
static FORCE_INLINE void n_InpAdd_FieldGeneral ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 45 of file p_Numbers.h.

46 { n_InpAdd(n1, n2, r->cf); }
n_InpAdd
static FORCE_INLINE void n_InpAdd(number &a, number b, const coeffs r)
addition of 'a' and 'b'; replacement of 'a' by the sum a+b
Definition: coeffs.h:643
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE void n_InpAdd_FieldQ ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 176 of file p_Numbers.h.

177 { nlInpAdd(n1, n2, r->cf); }
nlInpAdd
LINLINE void nlInpAdd(number &a, number b, const coeffs r)
Definition: longrat.cc:2457
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE void n_InpAdd_FieldZp ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 116 of file p_Numbers.h.

117 { n1=npAddM(n1, n2, r->cf); }
r
const ring r
Definition: syzextra.cc:208
npAddM
static number npAddM(number a, number b, const coeffs r)
Definition: modulop.h:77
static FORCE_INLINE void n_InpAdd_RingGeneral ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 60 of file p_Numbers.h.

61 { assume(rField_is_Ring(r)); n_InpAdd(n1, n2, r->cf); }
n_InpAdd
static FORCE_INLINE void n_InpAdd(number &a, number b, const coeffs r)
addition of 'a' and 'b'; replacement of 'a' by the sum a+b
Definition: coeffs.h:643
r
const ring r
Definition: syzextra.cc:208
assume
#define assume(x)
Definition: mod2.h:405
rField_is_Ring
static BOOLEAN rField_is_Ring(const ring r)
Definition: ring.h:428
static FORCE_INLINE void n_InpMult_FieldGeneral ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 42 of file p_Numbers.h.

43 { n_InpMult(n1, n2, r->cf); }
n_InpMult
static FORCE_INLINE void n_InpMult(number &a, number b, const coeffs r)
multiplication of 'a' and 'b'; replacement of 'a' by the product a*b
Definition: coeffs.h:638
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE void n_InpMult_FieldQ ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 165 of file p_Numbers.h.

166 { STATISTIC(n_InpMult); nlInpMult(n1, n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n_InpMult
static FORCE_INLINE void n_InpMult(number &a, number b, const coeffs r)
multiplication of 'a' and 'b'; replacement of 'a' by the product a*b
Definition: coeffs.h:638
r
const ring r
Definition: syzextra.cc:208
nlInpMult
LINLINE void nlInpMult(number &a, number b, const coeffs r)
Definition: longrat.cc:2523
static FORCE_INLINE void n_InpMult_FieldZp ( number &  n1,
number  n2,
const ring  r 
)
static

Definition at line 105 of file p_Numbers.h.

106 { STATISTIC(n_InpMult); n1=npMultM(n1, n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
npMultM
static number npMultM(number a, number b, const coeffs r)
Definition: modulop.h:49
n_InpMult
static FORCE_INLINE void n_InpMult(number &a, number b, const coeffs r)
multiplication of 'a' and 'b'; replacement of 'a' by the product a*b
Definition: coeffs.h:638
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE BOOLEAN n_IsZero_FieldGeneral ( number  n,
const ring  r 
)
static

Definition at line 30 of file p_Numbers.h.

31 { return n_IsZero(n, r->cf); }
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
n_IsZero
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
Definition: coeffs.h:464
static FORCE_INLINE BOOLEAN n_IsZero_FieldQ ( number  n,
const ring  r 
)
static

Definition at line 156 of file p_Numbers.h.

157 { STATISTIC(n_IsZero); return nlIsZero(n, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
nlIsZero
LINLINE BOOLEAN nlIsZero(number za, const coeffs r)
Definition: longrat.cc:2371
n_IsZero
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
Definition: coeffs.h:464
static FORCE_INLINE BOOLEAN n_IsZero_FieldZp ( number  n,
const ring  r 
)
static

Definition at line 96 of file p_Numbers.h.

97 { STATISTIC(n_IsZero); return npIsZeroM(n, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
n_IsZero
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
Definition: coeffs.h:464
npIsZeroM
static BOOLEAN npIsZeroM(number a, const coeffs)
Definition: modulop.h:116
static FORCE_INLINE number n_Mult_FieldGeneral ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 24 of file p_Numbers.h.

25 { return n_Mult(n1, n2, r->cf); }
n_Mult
static FORCE_INLINE number n_Mult(number a, number b, const coeffs r)
return the product of 'a' and 'b', i.e., a*b
Definition: coeffs.h:633
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE number n_Mult_FieldQ ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 129 of file p_Numbers.h.

130 { STATISTIC(n_Mult); return nlMult(n1,n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n_Mult
static FORCE_INLINE number n_Mult(number a, number b, const coeffs r)
return the product of 'a' and 'b', i.e., a*b
Definition: coeffs.h:633
r
const ring r
Definition: syzextra.cc:208
nlMult
LINLINE number nlMult(number a, number b, const coeffs r)
Definition: longrat.cc:2475
static FORCE_INLINE number n_Mult_FieldZp ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 69 of file p_Numbers.h.

70 { STATISTIC(n_Mult); return npMultM(n1, n2, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
npMultM
static number npMultM(number a, number b, const coeffs r)
Definition: modulop.h:49
n_Mult
static FORCE_INLINE number n_Mult(number a, number b, const coeffs r)
return the product of 'a' and 'b', i.e., a*b
Definition: coeffs.h:633
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE number n_Neg_FieldGeneral ( number  n,
const ring  r 
)
static

Definition at line 36 of file p_Numbers.h.

37 { return n_InpNeg(n, r->cf); }
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
n_InpNeg
static FORCE_INLINE number n_InpNeg(number n, const coeffs r)
in-place negation of n MUST BE USED: n = n_InpNeg(n) (no copy is returned)
Definition: coeffs.h:556
static FORCE_INLINE number n_Neg_FieldQ ( number  n,
const ring  r 
)
static

Definition at line 162 of file p_Numbers.h.

163 { STATISTIC(n_InpNeg); return nlNeg(n, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
r
const ring r
Definition: syzextra.cc:208
nlNeg
LINLINE number nlNeg(number za, const coeffs r)
Definition: longrat.cc:2420
n_InpNeg
static FORCE_INLINE number n_InpNeg(number n, const coeffs r)
in-place negation of n MUST BE USED: n = n_InpNeg(n) (no copy is returned)
Definition: coeffs.h:556
static FORCE_INLINE number n_Neg_FieldZp ( number  n,
const ring  r 
)
static

Definition at line 102 of file p_Numbers.h.

103 { STATISTIC(n_InpNeg); return npNegM(n, r->cf); }
STATISTIC
#define STATISTIC(f)
Definition: numstats.h:16
n
const CanonicalForm CFMap CFMap int &both_non_zero int n
Definition: cfEzgcd.cc:52
npNegM
static number npNegM(number a, const coeffs r)
Definition: modulop.h:111
r
const ring r
Definition: syzextra.cc:208
n_InpNeg
static FORCE_INLINE number n_InpNeg(number n, const coeffs r)
in-place negation of n MUST BE USED: n = n_InpNeg(n) (no copy is returned)
Definition: coeffs.h:556
static FORCE_INLINE number n_Sub_FieldGeneral ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 39 of file p_Numbers.h.

40 { return n_Sub(n1, n2, r->cf); }
n_Sub
static FORCE_INLINE number n_Sub(number a, number b, const coeffs r)
return the difference of 'a' and 'b', i.e., a-b
Definition: coeffs.h:666
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE number n_Sub_FieldQ ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 152 of file p_Numbers.h.

153 { return nlSub(n1, n2, r->cf); }
nlSub
LINLINE number nlSub(number la, number li, const coeffs r)
Definition: longrat.cc:2505
r
const ring r
Definition: syzextra.cc:208
static FORCE_INLINE number n_Sub_FieldZp ( number  n1,
number  n2,
const ring  r 
)
static

Definition at line 92 of file p_Numbers.h.

93 { return npSubM(n1, n2, r->cf); }
npSubM
static number npSubM(number a, number b, const coeffs r)
Definition: modulop.h:82
r
const ring r
Definition: syzextra.cc:208
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