#ifndef MODULOP_H #define MODULOP_H /**************************************** * Computer Algebra System SINGULAR * ****************************************/ /* $Id$ */ /* * ABSTRACT: numbers modulo p (<=32003) */ #include "coeffs.h" // defines are in struct.h // define if a*b is with mod instead of tables //#define HAVE_MULT_MOD // define if a/b is with mod instead of tables //#define HAVE_DIV_MOD // define if an if should be used //#define HAVE_GENERIC_ADD // enable large primes (32003 < p < 2^31-) #define NV_OPS #define NV_MAX_PRIME 32003 extern int npGen; extern long npMapPrime; BOOLEAN npGreaterZero (number k, const coeffs r); number npMult (number a, number b, const coeffs r); number npInit (int i, const coeffs r); int npInt (number &n, const coeffs r); number npAdd (number a, number b,const coeffs r); number npSub (number a, number b,const coeffs r); void npPower (number a, int i, number * result,const coeffs r); BOOLEAN npIsZero (number a,const coeffs r); BOOLEAN npIsOne (number a,const coeffs r); BOOLEAN npIsMOne (number a,const coeffs r); number npDiv (number a, number b,const coeffs r); number npNeg (number c,const coeffs r); number npInvers (number c,const coeffs r); BOOLEAN npGreater (number a, number b,const coeffs r); BOOLEAN npEqual (number a, number b,const coeffs r); void npWrite (number &a, const coeffs r); const char * npRead (const char *s, number *a,const coeffs r); #ifdef LDEBUG BOOLEAN npDBTest (number a,const coeffs r, const char *f, const int l); #define npTest(A,r) npDBTest(A,r,__FILE__,__LINE__) #else #define npTest(A,r) (0) #endif void npSetChar(int c, coeffs r); void npInitChar(int c, coeffs r); //int npGetChar(); nMapFunc npSetMap(const coeffs src, const coeffs dst); number npMapP(number from, const coeffs r); number npMap0(number from, const coeffs r); /*-------specials for spolys, do NOT use otherwise--------------------------*/ /* for npMultM, npSubM, npNegM, npEqualM : */ #ifdef HAVE_DIV_MOD extern unsigned short *npInvTable; #else #ifndef HAVE_MULT_MOD extern long npPminus1M; extern unsigned short *npExpTable; extern unsigned short *npLogTable; #endif #endif #if 0 inline number npMultM(number a, number b) // return (a*b)%n { double ab; long q, res; ab = ((double) ((int)a)) * ((double) ((int)b)); q = (long) (ab/((double) npPrimeM)); // q could be off by (+/-) 1 res = (long) (ab - ((double) q)*((double) npPrimeM)); res += (res >> 31) & npPrimeM; res -= npPrimeM; res += (res >> 31) & npPrimeM; return (number)res; } #endif #ifdef HAVE_MULT_MOD static inline number npMultM(number a, number b, const coeffs r) { return (number) ((((unsigned long) a)*((unsigned long) b)) % ((unsigned long) r->npPrimeM)); } #else static inline number npMultM(number a, number b, const coeffs r) { long x = (long)r->npLogTable[(long)a]+ r->npLogTable[(long)b]; return (number)(long)r->npExpTable[xnpPminus1M ? x : x- r->npPminus1M]; } #endif #if 0 inline number npAddAsm(number a, number b, int m) { number r; asm ("addl %2, %1; cmpl %3, %1; jb 0f; subl %3, %1; 0:" : "=&r" (r) : "%0" (a), "g" (b), "g" (m) : "cc"); return r; } inline number npSubAsm(number a, number b, int m) { number r; asm ("subl %2, %1; jnc 0f; addl %3, %1; 0:" : "=&r" (r) : "%0" (a), "g" (b), "g" (m) : "cc"); return r; } #endif #ifdef HAVE_GENERIC_ADD static inline number npAddM(number a, number b, const coeffs r) { long R = (long)a + (long)b; return (number)(R >= r->npPrimeM ? R - r->npPrimeM : R); } static inline number npSubM(number a, number b, const coeffs r) { return (number)((long)a<(long)b ? r->npPrimeM-(long)b+(long)a : (long)a-(long)b); } #else static inline number npAddM(number a, number b, const coeffs r) { long res = ((long)a + (long)b); res -= r->npPrimeM; #if SIZEOF_LONG == 8 res += (res >> 63) & r->npPrimeM; #else res += (res >> 31) & r->npPrimeM; #endif return (number)res; } static inline number npSubM(number a, number b, const coeffs r) { long res = ((long)a - (long)b); #if SIZEOF_LONG == 8 res += (res >> 63) & r->npPrimeM; #else res += (res >> 31) & r->npPrimeM; #endif return (number)res; } #endif static inline BOOLEAN npIsZeroM (number a, const coeffs r) { return 0 == (long)a; } /* *inline number npMultM(number a, number b) *{ * return (number)(((long)a*(long)b) % npPrimeM); *} */ #define npNegM(A,r) (number)(r->npPrimeM-(long)(A)) #define npEqualM(A,B,r) ((A)==(B)) #ifdef NV_OPS static inline number nvMultM(number a, number b, const coeffs r) { #if SIZEOF_LONG == 4 #define ULONG64 (unsigned long long)(unsigned long) #else #define ULONG64 (unsigned long) #endif return (number) (unsigned long)((ULONG64 a)*(ULONG64 b) % (ULONG64 r->npPrimeM)); } number nvMult (number a, number b, const coeffs r); number nvDiv (number a, number b, const coeffs r); number nvInvers (number c, const coeffs r); void nvPower (number a, int i, number * result, const coeffs r); #endif #endif