| 1 | #ifndef RMODULO2M_H |
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| 2 | #define RMODULO2M_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 | /* $Id$ */ |
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| 7 | /* |
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| 8 | * ABSTRACT: numbers modulo 2^m |
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| 9 | */ |
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| 10 | #ifdef HAVE_RINGS |
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| 11 | #include <kernel/structs.h> |
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| 12 | |
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| 13 | extern int nr2mExp; |
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| 14 | extern NATNUMBER nr2mModul; /* for storing 2^m - 1, i.e., the |
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| 15 | bit pattern '11..1' of length m */ |
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| 16 | |
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| 17 | BOOLEAN nr2mGreaterZero (number k); |
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| 18 | number nr2mMult (number a, number b); |
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| 19 | number nr2mInit (int i, const ring r); |
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| 20 | int nr2mInt (number &n, const ring r); |
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| 21 | number nr2mAdd (number a, number b); |
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| 22 | number nr2mSub (number a, number b); |
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| 23 | void nr2mPower (number a, int i, number * result); |
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| 24 | BOOLEAN nr2mIsZero (number a); |
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| 25 | BOOLEAN nr2mIsOne (number a); |
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| 26 | BOOLEAN nr2mIsMOne (number a); |
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| 27 | BOOLEAN nr2mIsUnit (number a); |
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| 28 | number nr2mGetUnit (number a); |
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| 29 | number nr2mDiv (number a, number b); |
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| 30 | number nr2mIntDiv (number a,number b); |
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| 31 | number nr2mMod (number a,number b); |
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| 32 | number nr2mNeg (number c); |
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| 33 | number nr2mInvers (number c); |
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| 34 | BOOLEAN nr2mGreater (number a, number b); |
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| 35 | BOOLEAN nr2mDivBy (number a, number b); |
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| 36 | int nr2mDivComp (number a, number b); |
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| 37 | BOOLEAN nr2mEqual (number a, number b); |
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| 38 | number nr2mLcm (number a,number b, ring r); |
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| 39 | number nr2mGcd (number a,number b,ring r); |
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| 40 | number nr2mExtGcd (number a, number b, number *s, number *t); |
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| 41 | nMapFunc nr2mSetMap (const ring src, const ring dst); |
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| 42 | void nr2mWrite (number &a, const ring r); |
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| 43 | const char * nr2mRead (const char *s, number *a); |
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| 44 | char * nr2mName (number n); |
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| 45 | #ifdef LDEBUG |
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| 46 | BOOLEAN nr2mDBTest (number a, const char *f, const int l); |
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| 47 | #endif |
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| 48 | void nr2mSetExp(int c, const ring r); |
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| 49 | void nr2mInitExp(int c, const ring r); |
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| 50 | |
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| 51 | |
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| 52 | static inline number nr2mMultM(number a, number b) |
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| 53 | { |
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| 54 | return (number) |
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| 55 | ((((NATNUMBER) a) * ((NATNUMBER) b)) & ((NATNUMBER) currRing->nr2mModul)); |
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| 56 | } |
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| 57 | |
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| 58 | static inline number nr2mAddM(number a, number b) |
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| 59 | { |
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| 60 | return (number) |
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| 61 | ((((NATNUMBER) a) + ((NATNUMBER) b)) & ((NATNUMBER) currRing->nr2mModul)); |
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| 62 | } |
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| 63 | |
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| 64 | static inline number nr2mSubM(number a, number b) |
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| 65 | { |
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| 66 | return (number)((NATNUMBER)a < (NATNUMBER)b ? |
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| 67 | currRing->nr2mModul - (NATNUMBER)b + (NATNUMBER)a + 1 : |
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| 68 | (NATNUMBER)a - (NATNUMBER)b); |
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| 69 | } |
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| 70 | |
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| 71 | #define nr2mNegM(A) (number)(currRing->nr2mModul - (NATNUMBER)(A) + 1) |
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| 72 | #define nr2mEqualM(A,B) ((A)==(B)) |
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| 73 | |
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| 74 | number nr2mMapQ(number from); |
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| 75 | #endif |
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| 76 | #endif |
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