| 1 | #ifndef MODULOP_H |
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| 2 | #define MODULOP_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: modulop.h,v 1.11 2000-11-16 16:52:37 Singular Exp $ */ |
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| 7 | /* |
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| 8 | * ABSTRACT: numbers modulo p (<=32003) |
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| 9 | */ |
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| 10 | #include "structs.h" |
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| 11 | |
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| 12 | extern int npPrimeM; |
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| 13 | extern int npGen; |
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| 14 | extern int npMapPrime; |
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| 15 | |
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| 16 | BOOLEAN npGreaterZero (number k); |
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| 17 | number npMult (number a, number b); |
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| 18 | number npInit (int i); |
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| 19 | int npInt (number &n); |
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| 20 | number npAdd (number a, number b); |
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| 21 | number npSub (number a, number b); |
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| 22 | void npPower (number a, int i, number * result); |
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| 23 | BOOLEAN npIsZero (number a); |
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| 24 | BOOLEAN npIsOne (number a); |
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| 25 | BOOLEAN npIsMOne (number a); |
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| 26 | number npDiv (number a, number b); |
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| 27 | number npNeg (number c); |
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| 28 | number npInvers (number c); |
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| 29 | BOOLEAN npGreater (number a, number b); |
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| 30 | BOOLEAN npEqual (number a, number b); |
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| 31 | void npWrite (number &a); |
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| 32 | char * npRead (char *s, number *a); |
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| 33 | #ifdef LDEBUG |
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| 34 | BOOLEAN npDBTest (number a, char *f, int l); |
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| 35 | #endif |
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| 36 | void npSetChar(int c, ring r); |
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| 37 | void npInitChar(int c, ring r); |
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| 38 | |
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| 39 | //int npGetChar(); |
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| 40 | |
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| 41 | BOOLEAN npSetMap(ring r); |
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| 42 | number npMapP(number from); |
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| 43 | /*-------specials for spolys, do NOT use otherwise--------------------------*/ |
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| 44 | /* for npMultM, npSubM, npNegM, npEqualM : */ |
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| 45 | extern int npPminus1M; |
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| 46 | extern CARDINAL *npExpTable; |
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| 47 | extern CARDINAL *npLogTable; |
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| 48 | |
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| 49 | inline number npMultM(number a, number b) |
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| 50 | { |
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| 51 | int x = npLogTable[(int)a]+npLogTable[(int)b]; |
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| 52 | return (number)npExpTable[x<npPminus1M ? x : x-npPminus1M]; |
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| 53 | } |
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| 54 | |
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| 55 | #if 0 |
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| 56 | inline number npAddAsm(number a, number b, int m) |
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| 57 | { |
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| 58 | number r; |
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| 59 | asm ("addl %2, %1; cmpl %3, %1; jb 0f; subl %3, %1; 0:" |
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| 60 | : "=&r" (r) |
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| 61 | : "%0" (a), "g" (b), "g" (m) |
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| 62 | : "cc"); |
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| 63 | return r; |
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| 64 | } |
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| 65 | inline number npSubAsm(number a, number b, int m) |
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| 66 | { |
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| 67 | number r; |
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| 68 | asm ("subl %2, %1; jnc 0f; addl %3, %1; 0:" |
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| 69 | : "=&r" (r) |
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| 70 | : "%0" (a), "g" (b), "g" (m) |
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| 71 | : "cc"); |
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| 72 | return r; |
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| 73 | } |
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| 74 | #endif |
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| 75 | |
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| 76 | inline number npAddM(number a, number b) |
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| 77 | { |
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| 78 | int r = (int)a + (int)b; |
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| 79 | return (number)(r >= npPrimeM ? r - npPrimeM : r); |
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| 80 | } |
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| 81 | |
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| 82 | inline BOOLEAN npIsZeroM (number a) |
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| 83 | { |
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| 84 | return 0 == (int)a; |
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| 85 | } |
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| 86 | |
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| 87 | /* |
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| 88 | *inline number npMultM(number a, number b) |
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| 89 | *{ |
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| 90 | * return (number)(((int)a*(int)b) % npPrimeM); |
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| 91 | *} |
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| 92 | */ |
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| 93 | |
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| 94 | #define npSubM(a,b) (number)((int)a<(int)b ?\ |
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| 95 | npPrimeM-(int)b+(int)a : (int)a-(int)b) |
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| 96 | |
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| 97 | #define npNegM(A) (number)(npPrimeM-(int)(A)) |
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| 98 | #define npEqualM(A,B) ((int)A==(int)B) |
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| 99 | #define npIsZeroM(a) (0 == (int)a) |
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| 100 | #endif |
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| 101 | |
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