1 | #ifndef LONGRAT_H |
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2 | #define LONGRAT_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 | /* |
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7 | * ABSTRACT: computation with long rational numbers |
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8 | */ |
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9 | #include <misc/auxiliary.h> |
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10 | #include <omalloc/omalloc.h> |
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11 | |
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12 | #include <coeffs/si_gmp.h> |
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13 | #include <coeffs/coeffs.h> |
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14 | |
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15 | #define SR_HDL(A) ((long)(A)) |
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16 | |
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17 | #define SR_INT 1L |
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18 | #define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT)) |
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19 | #define SR_TO_INT(SR) (((long)SR) >> 2) |
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20 | |
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21 | #define MP_SMALL 1 |
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22 | |
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23 | |
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24 | struct snumber; |
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25 | typedef struct snumber *number; |
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26 | struct snumber |
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27 | { |
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28 | mpz_t z; |
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29 | mpz_t n; |
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30 | #if defined(LDEBUG) |
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31 | int debug; |
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32 | #endif |
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33 | BOOLEAN s; |
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34 | }; |
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35 | |
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36 | // allow inlining only from p_Numbers.h and if ! LDEBUG |
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37 | |
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38 | #if defined(DO_LINLINE) && defined(P_NUMBERS_H) && !defined(LDEBUG) |
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39 | #define LINLINE static inline |
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40 | #else |
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41 | #define LINLINE |
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42 | #undef DO_LINLINE |
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43 | #endif // DO_LINLINE |
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44 | |
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45 | LINLINE BOOLEAN nlEqual(number a, number b, const coeffs r); |
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46 | LINLINE number nlInit(long i, const coeffs r); |
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47 | number nlRInit (long i); |
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48 | LINLINE BOOLEAN nlIsOne(number a, const coeffs r); |
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49 | LINLINE BOOLEAN nlIsZero(number za, const coeffs r); |
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50 | LINLINE number nlCopy(number a, const coeffs r); |
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51 | LINLINE number nl_Copy(number a, const coeffs r); |
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52 | LINLINE void nlDelete(number *a, const coeffs r); |
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53 | LINLINE number nlNeg(number za, const coeffs r); |
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54 | LINLINE number nlAdd(number la, number li, const coeffs r); |
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55 | LINLINE number nlSub(number la, number li, const coeffs r); |
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56 | LINLINE number nlMult(number a, number b, const coeffs r); |
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57 | |
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58 | BOOLEAN nlInitChar(coeffs r, void*); |
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59 | |
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60 | number nlInit2 (int i, int j, const coeffs r); |
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61 | number nlInit2gmp (mpz_t i, mpz_t j); |
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62 | |
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63 | // number nlInitMPZ(mpz_t m, const coeffs r); |
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64 | // void nlMPZ(mpz_t m, number &n, const coeffs r); |
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65 | |
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66 | number nlGcd(number a, number b, const coeffs r); |
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67 | number nlLcm(number a, number b, const coeffs r); /*special routine !*/ |
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68 | BOOLEAN nlGreater(number a, number b, const coeffs r); |
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69 | BOOLEAN nlIsMOne(number a, const coeffs r); |
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70 | int nlInt(number &n, const coeffs r); |
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71 | number nlBigInt(number &n); |
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72 | |
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73 | #ifdef HAVE_RINGS |
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74 | number nlMapGMP(number from, const coeffs src, const coeffs dst); |
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75 | void nlGMP(number &i, number n, const coeffs r); |
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76 | #endif |
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77 | |
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78 | BOOLEAN nlGreaterZero(number za, const coeffs r); |
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79 | number nlInvers(number a, const coeffs r); |
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80 | void nlNormalize(number &x, const coeffs r); |
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81 | number nlDiv(number a, number b, const coeffs r); |
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82 | number nlExactDiv(number a, number b, const coeffs r); |
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83 | number nlIntDiv(number a, number b, const coeffs r); |
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84 | number nlIntMod(number a, number b, const coeffs r); |
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85 | void nlPower(number x, int exp, number *lu, const coeffs r); |
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86 | const char * nlRead (const char *s, number *a, const coeffs r); |
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87 | void nlWrite(number &a, const coeffs r); |
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88 | |
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89 | /// Map q \in QQ \to Zp |
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90 | number nlModP(number q, const coeffs Q, const coeffs Zp); |
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91 | |
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92 | int nlSize(number n, const coeffs r); |
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93 | number nlGetDenom(number &n, const coeffs r); |
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94 | number nlGetNumerator(number &n, const coeffs r); |
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95 | void nlCoeffWrite(const coeffs r, BOOLEAN details); |
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96 | number nlChineseRemainder(number *x, number *q,int rl, const coeffs C); |
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97 | number nlFarey(number nN, number nP, const coeffs CF); |
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98 | |
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99 | #ifdef LDEBUG |
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100 | BOOLEAN nlDBTest(number a, const char *f, const int l); |
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101 | #endif |
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102 | extern number nlOne; |
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103 | |
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104 | nMapFunc nlSetMap(const coeffs src, const coeffs dst); |
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105 | |
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106 | extern omBin rnumber_bin; |
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107 | |
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108 | #define FREE_RNUMBER(x) omFreeBin((void *)x, rnumber_bin) |
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109 | #define ALLOC_RNUMBER() (number)omAllocBin(rnumber_bin) |
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110 | #define ALLOC0_RNUMBER() (number)omAlloc0Bin(rnumber_bin) |
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111 | |
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112 | // in-place operations |
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113 | void nlInpGcd(number &a, number b, const coeffs r); |
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114 | void nlInpIntDiv(number &a, number b, const coeffs r); |
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115 | |
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116 | LINLINE void nlInpAdd(number &a, number b, const coeffs r); |
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117 | LINLINE void nlInpMult(number &a, number b, const coeffs r); |
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118 | |
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119 | #ifdef LDEBUG |
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120 | #define nlTest(a, r) nlDBTest(a,__FILE__,__LINE__, r) |
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121 | BOOLEAN nlDBTest(number a, char *f,int l, const coeffs r); |
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122 | #else |
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123 | #define nlTest(a, r) ((void)0) |
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124 | #endif |
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125 | |
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126 | #endif |
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127 | |
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128 | |
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