| 1 | #ifndef RMODULON_H |
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| 2 | #define RMODULON_H |
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| 3 | /**************************************** |
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| 4 | * Computer Algebra System SINGULAR * |
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| 5 | ****************************************/ |
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| 6 | /* $Id: rmodulon.h,v 1.4 2007-06-20 09:39:25 wienand Exp $ */ |
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| 7 | /* |
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| 8 | * ABSTRACT: numbers modulo n |
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| 9 | */ |
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| 10 | #ifdef HAVE_RINGMODN |
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| 11 | #include "structs.h" |
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| 12 | |
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| 13 | #ifndef NATNUMBER |
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| 14 | #define NATNUMBER unsigned long |
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| 15 | #endif |
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| 16 | |
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| 17 | extern int nrnExp; |
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| 18 | extern NATNUMBER nrnModul; |
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| 19 | |
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| 20 | BOOLEAN nrnGreaterZero (number k); |
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| 21 | number nrnMult (number a, number b); |
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| 22 | number nrnInit (int i); |
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| 23 | int nrnInt (number &n); |
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| 24 | number nrnAdd (number a, number b); |
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| 25 | number nrnSub (number a, number b); |
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| 26 | void nrnPower (number a, int i, number * result); |
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| 27 | BOOLEAN nrnIsZero (number a); |
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| 28 | BOOLEAN nrnIsOne (number a); |
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| 29 | BOOLEAN nrnIsMOne (number a); |
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| 30 | BOOLEAN nrnIsUnit (number a); |
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| 31 | number nrnGetUnit (number a); |
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| 32 | number nrnDiv (number a, number b); |
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| 33 | number nrnIntDiv (number a,number b); |
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| 34 | number nrnNeg (number c); |
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| 35 | number nrnInvers (number c); |
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| 36 | BOOLEAN nrnGreater (number a, number b); |
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| 37 | BOOLEAN nrnDivBy (number a, number b); |
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| 38 | int nrnComp (number a, number b); |
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| 39 | BOOLEAN nrnEqual (number a, number b); |
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| 40 | number nrnLcm (number a,number b, ring r); |
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| 41 | number nrnGcd (number a,number b,ring r); |
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| 42 | number nrnExtGcd (number a, number b, number *s, number *t); |
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| 43 | nMapFunc nrnSetMap (ring src, ring dst); |
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| 44 | void nrnWrite (number &a); |
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| 45 | char * nrnRead (char *s, number *a); |
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| 46 | char * nrnName (number n); |
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| 47 | #ifdef LDEBUG |
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| 48 | BOOLEAN nrnDBTest (number a, char *f, int l); |
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| 49 | #endif |
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| 50 | void nrnSetExp(int c, ring r); |
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| 51 | void nrnInitExp(int c, ring r); |
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| 52 | |
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| 53 | |
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| 54 | static inline number nrnMultM(number a, number b) |
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| 55 | { |
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| 56 | return (number) |
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| 57 | ((((NATNUMBER) a)*((NATNUMBER) b)) % ((NATNUMBER) nrnModul)); |
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| 58 | } |
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| 59 | |
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| 60 | static inline number nrnAddM(number a, number b) |
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| 61 | { |
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| 62 | NATNUMBER r = (NATNUMBER)a + (NATNUMBER)b; |
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| 63 | return (number) (r >= nrnModul ? r - nrnModul : r); |
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| 64 | } |
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| 65 | |
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| 66 | static inline number nrnSubM(number a, number b) |
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| 67 | { |
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| 68 | return (number)((NATNUMBER)a<(NATNUMBER)b ? |
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| 69 | nrnModul-(NATNUMBER)b+(NATNUMBER)a : (NATNUMBER)a-(NATNUMBER)b); |
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| 70 | } |
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| 71 | |
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| 72 | #define nrnNegM(A) (number)(nrnModul-(NATNUMBER)(A)) |
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| 73 | #define nrnEqualM(A,B) ((A)==(B)) |
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| 74 | |
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| 75 | #endif |
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| 76 | #endif |
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