[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /* |
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| 5 | * ABSTRACT: computation with long rational numbers (Hubert Grassmann) |
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| 6 | */ |
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[d663f2] | 7 | |
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[16f511] | 8 | #ifdef HAVE_CONFIG_H |
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[ba5e9e] | 9 | #include "libpolysconfig.h" |
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[16f511] | 10 | #endif /* HAVE_CONFIG_H */ |
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[22a09d] | 11 | #include <misc/auxiliary.h> |
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| 12 | |
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| 13 | #include <factory/factory.h> |
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[35aab3] | 14 | |
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[ea11dc] | 15 | #include <coeffs/longrat.h> |
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[246d15] | 16 | |
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[9eb0f9] | 17 | |
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[246d15] | 18 | // 64 bit version: |
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[7aff627] | 19 | //#if SIZEOF_LONG == 8 |
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| 20 | #if 0 |
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[246d15] | 21 | #define MAX_NUM_SIZE 60 |
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[3feb05] | 22 | #define POW_2_28 (1L<<60) |
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[246d15] | 23 | #define LONG long |
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| 24 | #else |
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| 25 | #define MAX_NUM_SIZE 28 |
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| 26 | #define POW_2_28 (1L<<28) |
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| 27 | #define LONG int |
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| 28 | #endif |
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| 29 | |
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| 30 | static inline number nlShort3(number x) // assume x->s==3 |
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| 31 | { |
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| 32 | assume(x->s==3); |
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[cc3240c] | 33 | if (mpz_cmp_ui(x->z,(long)0)==0) |
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| 34 | { |
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| 35 | mpz_clear(x->z); |
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| 36 | FREE_RNUMBER(x); |
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| 37 | return INT_TO_SR(0); |
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| 38 | } |
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| 39 | if (mpz_size1(x->z)<=MP_SMALL) |
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[246d15] | 40 | { |
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| 41 | LONG ui=mpz_get_si(x->z); |
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| 42 | if ((((ui<<3)>>3)==ui) |
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| 43 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
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| 44 | { |
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| 45 | mpz_clear(x->z); |
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[896561] | 46 | FREE_RNUMBER(x); |
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[246d15] | 47 | return INT_TO_SR(ui); |
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| 48 | } |
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| 49 | } |
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| 50 | return x; |
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| 51 | } |
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| 52 | |
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[35aab3] | 53 | #ifndef LONGRAT_CC |
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| 54 | #define LONGRAT_CC |
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| 55 | |
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| 56 | #include <string.h> |
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| 57 | #include <float.h> |
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[9eb0f9] | 58 | |
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[2d805a] | 59 | #include <coeffs/coeffs.h> |
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[31213a4] | 60 | #include <reporter/reporter.h> |
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| 61 | #include <omalloc/omalloc.h> |
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[9eb0f9] | 62 | |
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[2d805a] | 63 | #include <coeffs/numbers.h> |
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| 64 | #include <coeffs/modulop.h> |
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| 65 | #include <coeffs/shortfl.h> |
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| 66 | #include <coeffs/mpr_complex.h> |
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[35aab3] | 67 | |
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| 68 | #ifndef BYTES_PER_MP_LIMB |
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| 69 | #define BYTES_PER_MP_LIMB sizeof(mp_limb_t) |
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| 70 | #endif |
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| 71 | |
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[8181f5] | 72 | //#define SR_HDL(A) ((long)(A)) |
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[46f6af6] | 73 | /*#define SR_INT 1L*/ |
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[35aab3] | 74 | /*#define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT))*/ |
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| 75 | // #define SR_TO_INT(SR) (((long)SR) >> 2) |
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| 76 | |
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| 77 | #define MP_SMALL 1 |
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| 78 | //#define mpz_isNeg(A) (mpz_cmp_si(A,(long)0)<0) |
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| 79 | #define mpz_isNeg(A) ((A)->_mp_size<0) |
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| 80 | #define mpz_limb_size(A) ((A)->_mp_size) |
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| 81 | #define mpz_limb_d(A) ((A)->_mp_d) |
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| 82 | #define MPZ_DIV(A,B,C) mpz_tdiv_q((A),(B),(C)) |
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| 83 | #define MPZ_EXACTDIV(A,B,C) mpz_divexact((A),(B),(C)) |
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| 84 | |
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[73a9ffb] | 85 | /// Our Type! |
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| 86 | static const n_coeffType ID = n_Q; |
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[35aab3] | 87 | |
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[73a9ffb] | 88 | void _nlDelete_NoImm(number *a); |
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[fa31d2] | 89 | |
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[35aab3] | 90 | /*************************************************************** |
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| 91 | * |
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| 92 | * Routines which are never inlined by p_Numbers.h |
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| 93 | * |
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| 94 | *******************************************************************/ |
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| 95 | #ifndef P_NUMBERS_H |
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| 96 | |
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[246d15] | 97 | number nlShort3_noinline(number x) // assume x->s==3 |
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| 98 | { |
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| 99 | return nlShort3(x); |
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| 100 | } |
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| 101 | |
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[35aab3] | 102 | |
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[eb059c5] | 103 | number nlOne=INT_TO_SR(1); |
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[35aab3] | 104 | |
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| 105 | #if (__GNU_MP_VERSION*10+__GNU_MP_VERSION_MINOR < 31) |
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| 106 | void mpz_mul_si (mpz_ptr r, mpz_srcptr s, long int si) |
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| 107 | { |
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| 108 | if (si>=0) |
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| 109 | mpz_mul_ui(r,s,si); |
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| 110 | else |
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| 111 | { |
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| 112 | mpz_mul_ui(r,s,-si); |
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| 113 | mpz_neg(r,r); |
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| 114 | } |
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| 115 | } |
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| 116 | #endif |
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| 117 | |
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[fa31d2] | 118 | static number nlMapP(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 119 | { |
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[fa31d2] | 120 | assume( getCoeffType(dst) == ID ); |
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| 121 | assume( getCoeffType(src) == n_Zp ); |
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[9bb5457] | 122 | |
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[35aab3] | 123 | number to; |
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[fa31d2] | 124 | to = nlInit(npInt(from,src), dst); |
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[35aab3] | 125 | return to; |
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| 126 | } |
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| 127 | |
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[fa31d2] | 128 | static number nlMapLongR(number from, const coeffs src, const coeffs dst); |
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| 129 | static number nlMapR(number from, const coeffs src, const coeffs dst); |
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[35aab3] | 130 | |
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[d663f2] | 131 | |
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[894f5b1] | 132 | #ifdef HAVE_RINGS |
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| 133 | /*2 |
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| 134 | * convert from a GMP integer |
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| 135 | */ |
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[9bb5457] | 136 | number nlMapGMP(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 137 | { |
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[896561] | 138 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 139 | #if defined(LDEBUG) |
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| 140 | z->debug=123456; |
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| 141 | #endif |
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[a604c3] | 142 | mpz_init_set(z->z,(mpz_ptr) from); |
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[20704f] | 143 | //mpz_init_set_ui(&z->n,1); |
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[894f5b1] | 144 | z->s = 3; |
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[246d15] | 145 | z=nlShort3(z); |
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[894f5b1] | 146 | return z; |
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| 147 | } |
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| 148 | |
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| 149 | /*2 |
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| 150 | * convert from an machine long |
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| 151 | */ |
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[9bb5457] | 152 | number nlMapMachineInt(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 153 | { |
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[896561] | 154 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 155 | #if defined(LDEBUG) |
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| 156 | z->debug=123456; |
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| 157 | #endif |
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[a604c3] | 158 | mpz_init_set_ui(z->z,(unsigned long) from); |
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[894f5b1] | 159 | z->s = 3; |
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[246d15] | 160 | z=nlShort3(z); |
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[894f5b1] | 161 | return z; |
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| 162 | } |
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| 163 | #endif |
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| 164 | |
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[35aab3] | 165 | |
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| 166 | #ifdef LDEBUG |
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[9bb5457] | 167 | BOOLEAN nlDBTest(number a, const char *f,const int l, const coeffs /*r*/) |
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[35aab3] | 168 | { |
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| 169 | if (a==NULL) |
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| 170 | { |
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| 171 | Print("!!longrat: NULL in %s:%d\n",f,l); |
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| 172 | return FALSE; |
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| 173 | } |
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| 174 | //if ((int)a==1) Print("!! 0x1 as number ? %s %d\n",f,l); |
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[7447d8] | 175 | if ((((long)a)&3L)==3L) |
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[35aab3] | 176 | { |
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| 177 | Print(" !!longrat:ptr(3) in %s:%d\n",f,l); |
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| 178 | return FALSE; |
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| 179 | } |
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[7447d8] | 180 | if ((((long)a)&3L)==1L) |
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[35aab3] | 181 | { |
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[246d15] | 182 | if (((((LONG)(long)a)<<1)>>1)!=((LONG)(long)a)) |
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[35aab3] | 183 | { |
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[2132395] | 184 | Print(" !!longrat:arith:%lx in %s:%d\n",(long)a, f,l); |
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[35aab3] | 185 | return FALSE; |
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| 186 | } |
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| 187 | return TRUE; |
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| 188 | } |
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[4a2260e] | 189 | /* TODO: If next line is active, then computations in algebraic field |
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| 190 | extensions over Q will throw a lot of assume violations although |
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| 191 | everything is computed correctly and no seg fault appears. |
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| 192 | Maybe the test is not appropriate in this case. */ |
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[d12f186] | 193 | omCheckIf(omCheckAddrSize(a,sizeof(*a)), return FALSE); |
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[35aab3] | 194 | if (a->debug!=123456) |
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| 195 | { |
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| 196 | Print("!!longrat:debug:%d in %s:%d\n",a->debug,f,l); |
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| 197 | a->debug=123456; |
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| 198 | return FALSE; |
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| 199 | } |
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| 200 | if ((a->s<0)||(a->s>4)) |
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| 201 | { |
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| 202 | Print("!!longrat:s=%d in %s:%d\n",a->s,f,l); |
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| 203 | return FALSE; |
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| 204 | } |
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[c28ecf] | 205 | /* TODO: If next line is active, then computations in algebraic field |
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| 206 | extensions over Q will throw a lot of assume violations although |
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| 207 | everything is computed correctly and no seg fault appears. |
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| 208 | Maybe the test is not appropriate in this case. */ |
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[896561] | 209 | //omCheckAddrSize(a->z[0]._mp_d,a->z[0]._mp_alloc*BYTES_PER_MP_LIMB); |
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[a604c3] | 210 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 211 | Print("!!longrat:z->alloc=0 in %s:%d\n",f,l); |
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[35aab3] | 212 | |
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| 213 | if (a->s<2) |
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| 214 | { |
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[a122f4] | 215 | if ((a->n[0]._mp_d[0]==0)&&(a->n[0]._mp_alloc<=1)) |
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[9d68fd] | 216 | { |
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| 217 | Print("!!longrat: n==0 in %s:%d\n",f,l); |
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| 218 | return FALSE; |
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| 219 | } |
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[c28ecf] | 220 | /* TODO: If next line is active, then computations in algebraic field |
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| 221 | extensions over Q will throw a lot of assume violations although |
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| 222 | everything is computed correctly and no seg fault appears. |
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| 223 | Maybe the test is not appropriate in this case. */ |
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[896561] | 224 | //omCheckIf(omCheckAddrSize(a->n[0]._mp_d,a->n[0]._mp_alloc*BYTES_PER_MP_LIMB), return FALSE); |
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[a604c3] | 225 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 226 | Print("!!longrat:n->alloc=0 in %s:%d\n",f,l); |
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[a604c3] | 227 | if ((mpz_size1(a->n) ==1) && (mpz_cmp_si(a->n,(long)1)==0)) |
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[35aab3] | 228 | { |
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| 229 | Print("!!longrat:integer as rational in %s:%d\n",f,l); |
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[8fd3bd5] | 230 | mpz_clear(a->n); a->s=3; |
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[35aab3] | 231 | return FALSE; |
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| 232 | } |
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[a604c3] | 233 | else if (mpz_isNeg(a->n)) |
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[35aab3] | 234 | { |
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| 235 | Print("!!longrat:div. by negative in %s:%d\n",f,l); |
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[a604c3] | 236 | mpz_neg(a->z,a->z); |
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| 237 | mpz_neg(a->n,a->n); |
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[35aab3] | 238 | return FALSE; |
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| 239 | } |
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| 240 | return TRUE; |
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| 241 | } |
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[9257fe] | 242 | //if (a->s==2) |
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| 243 | //{ |
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| 244 | // Print("!!longrat:s=2 in %s:%d\n",f,l); |
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| 245 | // return FALSE; |
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| 246 | //} |
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[a604c3] | 247 | if (mpz_size1(a->z)>MP_SMALL) return TRUE; |
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[246d15] | 248 | LONG ui=(int)mpz_get_si(a->z); |
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[35aab3] | 249 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 250 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
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[35aab3] | 251 | { |
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| 252 | Print("!!longrat:im int %d in %s:%d\n",ui,f,l); |
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| 253 | f=NULL; |
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| 254 | return FALSE; |
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| 255 | } |
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| 256 | return TRUE; |
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| 257 | } |
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| 258 | #endif |
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| 259 | |
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[9bb5457] | 260 | CanonicalForm nlConvSingNFactoryN( number n, BOOLEAN setChar, const coeffs /*r*/ ) |
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[a934fc8] | 261 | { |
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[abb4787] | 262 | if (setChar) setCharacteristic( 0 ); |
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| 263 | |
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[a934fc8] | 264 | CanonicalForm term; |
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| 265 | if ( SR_HDL(n) & SR_INT ) |
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| 266 | { |
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| 267 | term = SR_TO_INT(n); |
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| 268 | } |
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| 269 | else |
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| 270 | { |
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| 271 | if ( n->s == 3 ) |
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| 272 | { |
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[8b46459] | 273 | mpz_t dummy; |
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[8710ff0] | 274 | long lz=mpz_get_si(n->z); |
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| 275 | if (mpz_cmp_si(n->z,lz)==0) term=lz; |
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| 276 | else |
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| 277 | { |
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| 278 | mpz_init_set( dummy,n->z ); |
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| 279 | term = make_cf( dummy ); |
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| 280 | } |
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[a934fc8] | 281 | } |
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| 282 | else |
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| 283 | { |
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| 284 | // assume s==0 or s==1 |
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[8b46459] | 285 | mpz_t num, den; |
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[a934fc8] | 286 | On(SW_RATIONAL); |
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[8b46459] | 287 | mpz_init_set( num, n->z ); |
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| 288 | mpz_init_set( den, n->n ); |
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[a934fc8] | 289 | term = make_cf( num, den, ( n->s != 1 )); |
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| 290 | } |
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| 291 | } |
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| 292 | return term; |
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| 293 | } |
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| 294 | |
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| 295 | number nlConvFactoryNSingN( const CanonicalForm n, const coeffs r) |
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| 296 | { |
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| 297 | if (n.isImm()) |
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| 298 | { |
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[8710ff0] | 299 | long lz=n.intval(); |
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| 300 | int iz=(int)lz; |
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| 301 | if ((long)iz==lz) |
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| 302 | { |
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| 303 | return nlInit(n.intval(),r); |
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| 304 | } |
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| 305 | else return nlRInit(lz); |
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[a934fc8] | 306 | return nlInit(n.intval(),r); |
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| 307 | } |
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| 308 | else |
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| 309 | { |
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[d663f2] | 310 | number z = ALLOC_RNUMBER(); //Q!? // (number)omAllocBin(rnumber_bin); |
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[a934fc8] | 311 | #if defined(LDEBUG) |
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| 312 | z->debug=123456; |
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| 313 | #endif |
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| 314 | gmp_numerator( n, z->z ); |
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| 315 | if ( n.den().isOne() ) |
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| 316 | z->s = 3; |
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| 317 | else |
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| 318 | { |
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| 319 | gmp_denominator( n, z->n ); |
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| 320 | z->s = 0; |
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| 321 | } |
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| 322 | nlNormalize(z,r); |
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| 323 | return z; |
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| 324 | } |
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| 325 | } |
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[dc4782] | 326 | |
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[246d15] | 327 | number nlRInit (long i); |
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[35aab3] | 328 | |
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[371bc5f] | 329 | static number nlMapR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 330 | { |
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[fa31d2] | 331 | assume( getCoeffType(dst) == ID ); |
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| 332 | assume( getCoeffType(src) == n_R ); |
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[9bb5457] | 333 | |
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[35aab3] | 334 | double f=nrFloat(from); |
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[eb059c5] | 335 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 336 | int f_sign=1; |
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| 337 | if (f<0.0) |
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| 338 | { |
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| 339 | f_sign=-1; |
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| 340 | f=-f; |
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| 341 | } |
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| 342 | int i=0; |
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| 343 | mpz_t h1; |
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| 344 | mpz_init_set_ui(h1,1); |
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| 345 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 346 | { |
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| 347 | f*=FLT_RADIX; |
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| 348 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 349 | i++; |
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| 350 | } |
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[a642c64] | 351 | number re=nlRInit(1); |
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[bbf7a8] | 352 | mpz_set_d(re->z,f); |
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[a642c64] | 353 | memcpy(&(re->n),&h1,sizeof(h1)); |
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| 354 | re->s=0; /* not normalized */ |
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[371bc5f] | 355 | if(f_sign==-1) re=nlNeg(re,dst); |
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| 356 | nlNormalize(re,dst); |
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[a642c64] | 357 | return re; |
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[35aab3] | 358 | } |
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| 359 | |
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[9bb5457] | 360 | static number nlMapLongR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 361 | { |
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[fa31d2] | 362 | assume( getCoeffType(dst) == ID ); |
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| 363 | assume( getCoeffType(src) == n_long_R ); |
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[9bb5457] | 364 | |
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[35aab3] | 365 | gmp_float *ff=(gmp_float*)from; |
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| 366 | mpf_t *f=ff->_mpfp(); |
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| 367 | number res; |
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[a604c3] | 368 | mpz_ptr dest,ndest; |
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[35aab3] | 369 | int size, i,negative; |
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| 370 | int e,al,bl; |
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| 371 | mp_ptr qp,dd,nn; |
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| 372 | |
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| 373 | size = (*f)[0]._mp_size; |
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| 374 | if (size == 0) |
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[eb059c5] | 375 | return INT_TO_SR(0); |
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[35aab3] | 376 | if(size<0) |
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| 377 | { |
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| 378 | negative = 1; |
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| 379 | size = -size; |
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| 380 | } |
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| 381 | else |
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| 382 | negative = 0; |
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| 383 | |
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| 384 | qp = (*f)[0]._mp_d; |
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| 385 | while(qp[0]==0) |
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| 386 | { |
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| 387 | qp++; |
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| 388 | size--; |
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| 389 | } |
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| 390 | |
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| 391 | e=(*f)[0]._mp_exp-size; |
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[896561] | 392 | res = ALLOC_RNUMBER(); |
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[35aab3] | 393 | #if defined(LDEBUG) |
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| 394 | res->debug=123456; |
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| 395 | #endif |
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[a604c3] | 396 | dest = res->z; |
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[35aab3] | 397 | |
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| 398 | if (e<0) |
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| 399 | { |
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| 400 | al = dest->_mp_size = size; |
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| 401 | if (al<2) al = 2; |
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| 402 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 403 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 404 | bl = 1-e; |
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| 405 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 406 | nn[bl-1] = 1; |
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| 407 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 408 | ndest = res->n; |
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[35aab3] | 409 | ndest->_mp_d = nn; |
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| 410 | ndest->_mp_alloc = ndest->_mp_size = bl; |
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| 411 | res->s = 0; |
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| 412 | } |
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| 413 | else |
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| 414 | { |
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| 415 | al = dest->_mp_size = size+e; |
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| 416 | if (al<2) al = 2; |
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| 417 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 418 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
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| 419 | for (i=0;i<e;i++) dd[i] = 0; |
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| 420 | res->s = 3; |
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| 421 | } |
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| 422 | |
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| 423 | dest->_mp_d = dd; |
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| 424 | dest->_mp_alloc = al; |
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| 425 | if (negative) dest->_mp_size = -dest->_mp_size; |
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| 426 | |
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| 427 | if (res->s==0) |
---|
[371bc5f] | 428 | nlNormalize(res,dst); |
---|
[bbf7a8] | 429 | else if (mpz_size1(res->z)<=MP_SMALL) |
---|
[35aab3] | 430 | { |
---|
| 431 | // res is new, res->ref is 1 |
---|
[246d15] | 432 | res=nlShort3(res); |
---|
[35aab3] | 433 | } |
---|
[2b957a] | 434 | nlTest(res, dst); |
---|
[35aab3] | 435 | return res; |
---|
| 436 | } |
---|
| 437 | |
---|
| 438 | //static number nlMapLongR(number from) |
---|
| 439 | //{ |
---|
| 440 | // gmp_float *ff=(gmp_float*)from; |
---|
| 441 | // const mpf_t *f=ff->mpfp(); |
---|
| 442 | // int f_size=ABS((*f)[0]._mp_size); |
---|
| 443 | // if (f_size==0) |
---|
| 444 | // return nlInit(0); |
---|
| 445 | // int f_sign=1; |
---|
| 446 | // number work=ngcCopy(from); |
---|
| 447 | // if (!ngcGreaterZero(work)) |
---|
| 448 | // { |
---|
| 449 | // f_sign=-1; |
---|
| 450 | // work=ngcNeg(work); |
---|
| 451 | // } |
---|
| 452 | // int i=0; |
---|
| 453 | // mpz_t h1; |
---|
| 454 | // mpz_init_set_ui(h1,1); |
---|
| 455 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
---|
| 456 | // { |
---|
| 457 | // f*=FLT_RADIX; |
---|
| 458 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
---|
| 459 | // i++; |
---|
| 460 | // } |
---|
| 461 | // number r=nlRInit(1); |
---|
| 462 | // mpz_set_d(&(r->z),f); |
---|
[611871] | 463 | // memcpy(&(r->n),&h1,sizeof(h1)); |
---|
[35aab3] | 464 | // r->s=0; /* not normalized */ |
---|
| 465 | // nlNormalize(r); |
---|
| 466 | // return r; |
---|
| 467 | // |
---|
| 468 | // |
---|
| 469 | // number r=nlRInit(1); |
---|
| 470 | // int f_shift=f_size+(*f)[0]._mp_exp; |
---|
| 471 | // if ( f_shift > 0) |
---|
| 472 | // { |
---|
| 473 | // r->s=0; |
---|
| 474 | // mpz_init(&r->n); |
---|
| 475 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
---|
| 476 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 477 | // // now r->z has enough space |
---|
[611871] | 478 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 479 | // nlNormalize(r); |
---|
| 480 | // } |
---|
| 481 | // else |
---|
| 482 | // { |
---|
| 483 | // r->s=3; |
---|
| 484 | // if (f_shift==0) |
---|
| 485 | // { |
---|
| 486 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 487 | // // now r->z has enough space |
---|
[611871] | 488 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 489 | // } |
---|
| 490 | // else /* f_shift < 0 */ |
---|
| 491 | // { |
---|
| 492 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 493 | // // now r->z has enough space |
---|
[611871] | 494 | // memcpy(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
[35aab3] | 495 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 496 | // } |
---|
| 497 | // } |
---|
| 498 | // if ((*f)[0]._mp_size<0); |
---|
| 499 | // r=nlNeg(r); |
---|
| 500 | // return r; |
---|
| 501 | //} |
---|
| 502 | |
---|
[121fd9] | 503 | int nlSize(number a, const coeffs) |
---|
[35aab3] | 504 | { |
---|
| 505 | if (a==INT_TO_SR(0)) |
---|
| 506 | return 0; /* rational 0*/ |
---|
| 507 | if (SR_HDL(a) & SR_INT) |
---|
| 508 | return 1; /* immidiate int */ |
---|
[a604c3] | 509 | int s=a->z[0]._mp_alloc; |
---|
[9bb5457] | 510 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 511 | //#if SIZEOF_LONG == 8 |
---|
| 512 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 513 | // else s *=2; |
---|
| 514 | //#endif |
---|
[790096] | 515 | // s++; |
---|
[35aab3] | 516 | if (a->s<2) |
---|
| 517 | { |
---|
[a604c3] | 518 | int d=a->n[0]._mp_alloc; |
---|
[9bb5457] | 519 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 520 | //#if SIZEOF_LONG == 8 |
---|
| 521 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 522 | // else d *=2; |
---|
| 523 | //#endif |
---|
[1da0b5] | 524 | s+=d; |
---|
[35aab3] | 525 | } |
---|
| 526 | return s; |
---|
| 527 | } |
---|
| 528 | |
---|
| 529 | /*2 |
---|
| 530 | * convert number to int |
---|
| 531 | */ |
---|
[a642c64] | 532 | int nlInt(number &i, const coeffs r) |
---|
[35aab3] | 533 | { |
---|
[2b957a] | 534 | nlTest(i, r); |
---|
[a642c64] | 535 | nlNormalize(i,r); |
---|
[35aab3] | 536 | if (SR_HDL(i) &SR_INT) return SR_TO_INT(i); |
---|
| 537 | if (i->s==3) |
---|
| 538 | { |
---|
[a604c3] | 539 | if(mpz_size1(i->z)>MP_SMALL) return 0; |
---|
| 540 | int ul=(int)mpz_get_si(i->z); |
---|
| 541 | if (mpz_cmp_si(i->z,(long)ul)!=0) return 0; |
---|
[35aab3] | 542 | return ul; |
---|
| 543 | } |
---|
[a604c3] | 544 | mpz_t tmp; |
---|
[35aab3] | 545 | int ul; |
---|
[a604c3] | 546 | mpz_init(tmp); |
---|
| 547 | MPZ_DIV(tmp,i->z,i->n); |
---|
| 548 | if(mpz_size1(tmp)>MP_SMALL) ul=0; |
---|
[35aab3] | 549 | else |
---|
| 550 | { |
---|
[a604c3] | 551 | ul=(int)mpz_get_si(tmp); |
---|
| 552 | if (mpz_cmp_si(tmp,(long)ul)!=0) ul=0; |
---|
[35aab3] | 553 | } |
---|
[a604c3] | 554 | mpz_clear(tmp); |
---|
[35aab3] | 555 | return ul; |
---|
| 556 | } |
---|
| 557 | |
---|
[7f7573] | 558 | /*2 |
---|
| 559 | * convert number to bigint |
---|
| 560 | */ |
---|
[a642c64] | 561 | number nlBigInt(number &i, const coeffs r) |
---|
[7f7573] | 562 | { |
---|
[2b957a] | 563 | nlTest(i, r); |
---|
[a642c64] | 564 | nlNormalize(i,r); |
---|
[7f7573] | 565 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 566 | if (i->s==3) |
---|
| 567 | { |
---|
[a642c64] | 568 | return nlCopy(i,r); |
---|
[7f7573] | 569 | } |
---|
| 570 | number tmp=nlRInit(1); |
---|
[a604c3] | 571 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[246d15] | 572 | tmp=nlShort3(tmp); |
---|
[7f7573] | 573 | return tmp; |
---|
| 574 | } |
---|
| 575 | |
---|
[35aab3] | 576 | /* |
---|
| 577 | * 1/a |
---|
| 578 | */ |
---|
[a642c64] | 579 | number nlInvers(number a, const coeffs r) |
---|
[35aab3] | 580 | { |
---|
[2b957a] | 581 | nlTest(a, r); |
---|
[35aab3] | 582 | number n; |
---|
| 583 | if (SR_HDL(a) & SR_INT) |
---|
| 584 | { |
---|
[246d15] | 585 | if ((a==INT_TO_SR(1L)) || (a==INT_TO_SR(-1L))) |
---|
[35aab3] | 586 | { |
---|
| 587 | return a; |
---|
| 588 | } |
---|
[a642c64] | 589 | if (nlIsZero(a,r)) |
---|
[35aab3] | 590 | { |
---|
[b7e838] | 591 | WerrorS(nDivBy0); |
---|
[35aab3] | 592 | return INT_TO_SR(0); |
---|
| 593 | } |
---|
[896561] | 594 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 595 | #if defined(LDEBUG) |
---|
| 596 | n->debug=123456; |
---|
| 597 | #endif |
---|
| 598 | n->s=1; |
---|
[7447d8] | 599 | if ((long)a>0L) |
---|
[35aab3] | 600 | { |
---|
[a604c3] | 601 | mpz_init_set_si(n->z,(long)1); |
---|
| 602 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 603 | } |
---|
| 604 | else |
---|
| 605 | { |
---|
[a604c3] | 606 | mpz_init_set_si(n->z,(long)-1); |
---|
| 607 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 608 | } |
---|
[2b957a] | 609 | nlTest(n, r); |
---|
[35aab3] | 610 | return n; |
---|
| 611 | } |
---|
[896561] | 612 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 613 | #if defined(LDEBUG) |
---|
| 614 | n->debug=123456; |
---|
| 615 | #endif |
---|
| 616 | { |
---|
| 617 | n->s=a->s; |
---|
[a604c3] | 618 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 619 | switch (a->s) |
---|
| 620 | { |
---|
| 621 | case 0: |
---|
| 622 | case 1: |
---|
[a604c3] | 623 | mpz_init_set(n->z,a->n); |
---|
| 624 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 625 | { |
---|
[a604c3] | 626 | mpz_neg(n->z,n->z); |
---|
| 627 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 628 | } |
---|
[a604c3] | 629 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 630 | { |
---|
[a604c3] | 631 | mpz_clear(n->n); |
---|
[35aab3] | 632 | n->s=3; |
---|
[246d15] | 633 | n=nlShort3(n); |
---|
[35aab3] | 634 | } |
---|
| 635 | break; |
---|
| 636 | case 3: |
---|
| 637 | n->s=1; |
---|
[a604c3] | 638 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 639 | { |
---|
[a604c3] | 640 | mpz_neg(n->n,n->n); |
---|
| 641 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 642 | } |
---|
| 643 | else |
---|
| 644 | { |
---|
[a604c3] | 645 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 646 | } |
---|
| 647 | break; |
---|
| 648 | } |
---|
| 649 | } |
---|
[2b957a] | 650 | nlTest(n, r); |
---|
[35aab3] | 651 | return n; |
---|
| 652 | } |
---|
| 653 | |
---|
| 654 | |
---|
| 655 | /*2 |
---|
| 656 | * u := a / b in Z, if b | a (else undefined) |
---|
| 657 | */ |
---|
[2b957a] | 658 | number nlExactDiv(number a, number b, const coeffs r) |
---|
[35aab3] | 659 | { |
---|
| 660 | if (b==INT_TO_SR(0)) |
---|
| 661 | { |
---|
[b7e838] | 662 | WerrorS(nDivBy0); |
---|
[35aab3] | 663 | return INT_TO_SR(0); |
---|
| 664 | } |
---|
| 665 | if (a==INT_TO_SR(0)) |
---|
| 666 | return INT_TO_SR(0); |
---|
| 667 | number u; |
---|
| 668 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 669 | { |
---|
| 670 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 671 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 672 | { |
---|
[246d15] | 673 | return nlRInit(POW_2_28); |
---|
[35aab3] | 674 | } |
---|
[246d15] | 675 | long aa=SR_TO_INT(a); |
---|
| 676 | long bb=SR_TO_INT(b); |
---|
[35aab3] | 677 | return INT_TO_SR(aa/bb); |
---|
| 678 | } |
---|
| 679 | number bb=NULL; |
---|
| 680 | if (SR_HDL(b) & SR_INT) |
---|
| 681 | { |
---|
| 682 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 683 | b=bb; |
---|
| 684 | } |
---|
[896561] | 685 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 686 | #if defined(LDEBUG) |
---|
| 687 | u->debug=123456; |
---|
| 688 | #endif |
---|
[a604c3] | 689 | mpz_init(u->z); |
---|
[35aab3] | 690 | /* u=a/b */ |
---|
| 691 | u->s = 3; |
---|
[a604c3] | 692 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 693 | if (bb!=NULL) |
---|
| 694 | { |
---|
[a604c3] | 695 | mpz_clear(bb->z); |
---|
[35aab3] | 696 | #if defined(LDEBUG) |
---|
| 697 | bb->debug=654324; |
---|
| 698 | #endif |
---|
[d663f2] | 699 | FREE_RNUMBER(bb); // omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 700 | } |
---|
[246d15] | 701 | u=nlShort3(u); |
---|
[2b957a] | 702 | nlTest(u, r); |
---|
[35aab3] | 703 | return u; |
---|
| 704 | } |
---|
| 705 | |
---|
| 706 | /*2 |
---|
| 707 | * u := a / b in Z |
---|
| 708 | */ |
---|
[2b957a] | 709 | number nlIntDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 710 | { |
---|
| 711 | if (b==INT_TO_SR(0)) |
---|
| 712 | { |
---|
[b7e838] | 713 | WerrorS(nDivBy0); |
---|
[35aab3] | 714 | return INT_TO_SR(0); |
---|
| 715 | } |
---|
| 716 | if (a==INT_TO_SR(0)) |
---|
| 717 | return INT_TO_SR(0); |
---|
| 718 | number u; |
---|
| 719 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 720 | { |
---|
| 721 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 722 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 723 | { |
---|
[246d15] | 724 | return nlRInit(POW_2_28); |
---|
[35aab3] | 725 | } |
---|
[246d15] | 726 | long aa=SR_TO_INT(a); |
---|
| 727 | long bb=SR_TO_INT(b); |
---|
[7326063] | 728 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 729 | } |
---|
| 730 | if (SR_HDL(a) & SR_INT) |
---|
| 731 | { |
---|
| 732 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
[246d15] | 733 | if (a==INT_TO_SR(-(POW_2_28))) |
---|
[35aab3] | 734 | { |
---|
[246d15] | 735 | if(mpz_cmp_si(b->z,(POW_2_28))==0) |
---|
[35aab3] | 736 | { |
---|
| 737 | return INT_TO_SR(-1); |
---|
| 738 | } |
---|
| 739 | } |
---|
| 740 | /* a is a small and b is a large int: -> 0 */ |
---|
| 741 | return INT_TO_SR(0); |
---|
| 742 | } |
---|
| 743 | number bb=NULL; |
---|
| 744 | if (SR_HDL(b) & SR_INT) |
---|
| 745 | { |
---|
| 746 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 747 | b=bb; |
---|
| 748 | } |
---|
[896561] | 749 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 750 | #if defined(LDEBUG) |
---|
| 751 | u->debug=123456; |
---|
| 752 | #endif |
---|
[98bda9] | 753 | assume(a->s==3); |
---|
| 754 | assume(b->s==3); |
---|
[a604c3] | 755 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 756 | /* u=u/b */ |
---|
| 757 | u->s = 3; |
---|
[a604c3] | 758 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 759 | if (bb!=NULL) |
---|
| 760 | { |
---|
[a604c3] | 761 | mpz_clear(bb->z); |
---|
[35aab3] | 762 | #if defined(LDEBUG) |
---|
| 763 | bb->debug=654324; |
---|
| 764 | #endif |
---|
[de27d8] | 765 | FREE_RNUMBER(bb); |
---|
[35aab3] | 766 | } |
---|
[246d15] | 767 | u=nlShort3(u); |
---|
[de27d8] | 768 | nlTest(u,r); |
---|
[35aab3] | 769 | return u; |
---|
| 770 | } |
---|
| 771 | |
---|
| 772 | /*2 |
---|
| 773 | * u := a mod b in Z, u>=0 |
---|
| 774 | */ |
---|
[a642c64] | 775 | number nlIntMod (number a, number b, const coeffs r) |
---|
[35aab3] | 776 | { |
---|
| 777 | if (b==INT_TO_SR(0)) |
---|
| 778 | { |
---|
[b7e838] | 779 | WerrorS(nDivBy0); |
---|
[35aab3] | 780 | return INT_TO_SR(0); |
---|
| 781 | } |
---|
| 782 | if (a==INT_TO_SR(0)) |
---|
| 783 | return INT_TO_SR(0); |
---|
| 784 | number u; |
---|
| 785 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 786 | { |
---|
[de27d8] | 787 | LONG bb=SR_TO_INT(b); |
---|
| 788 | LONG c=SR_TO_INT(a)%bb; |
---|
| 789 | return INT_TO_SR(c); |
---|
[35aab3] | 790 | } |
---|
| 791 | if (SR_HDL(a) & SR_INT) |
---|
| 792 | { |
---|
[824c47] | 793 | /* a is a small and b is a large int: -> a */ |
---|
[de27d8] | 794 | return a; |
---|
[35aab3] | 795 | } |
---|
| 796 | number bb=NULL; |
---|
| 797 | if (SR_HDL(b) & SR_INT) |
---|
| 798 | { |
---|
| 799 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 800 | b=bb; |
---|
| 801 | } |
---|
[896561] | 802 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 803 | #if defined(LDEBUG) |
---|
| 804 | u->debug=123456; |
---|
| 805 | #endif |
---|
[a604c3] | 806 | mpz_init(u->z); |
---|
[35aab3] | 807 | u->s = 3; |
---|
[a604c3] | 808 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 809 | if (bb!=NULL) |
---|
| 810 | { |
---|
[a604c3] | 811 | mpz_clear(bb->z); |
---|
[35aab3] | 812 | #if defined(LDEBUG) |
---|
| 813 | bb->debug=654324; |
---|
| 814 | #endif |
---|
[de27d8] | 815 | FREE_RNUMBER(bb); |
---|
[35aab3] | 816 | } |
---|
[a604c3] | 817 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 818 | { |
---|
[a604c3] | 819 | if (mpz_isNeg(b->z)) |
---|
| 820 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 821 | else |
---|
[a604c3] | 822 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 823 | } |
---|
[246d15] | 824 | u=nlShort3(u); |
---|
[de27d8] | 825 | nlTest(u,r); |
---|
[35aab3] | 826 | return u; |
---|
| 827 | } |
---|
| 828 | |
---|
| 829 | /*2 |
---|
| 830 | * u := a / b |
---|
| 831 | */ |
---|
[a642c64] | 832 | number nlDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 833 | { |
---|
[a642c64] | 834 | if (nlIsZero(b,r)) |
---|
[35aab3] | 835 | { |
---|
[b7e838] | 836 | WerrorS(nDivBy0); |
---|
[35aab3] | 837 | return INT_TO_SR(0); |
---|
| 838 | } |
---|
[778b36] | 839 | number u; |
---|
[35aab3] | 840 | // ---------- short / short ------------------------------------ |
---|
| 841 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 842 | { |
---|
[135e78] | 843 | LONG i=SR_TO_INT(a); |
---|
| 844 | LONG j=SR_TO_INT(b); |
---|
[778b36] | 845 | if (j==1L) return a; |
---|
[1a97da] | 846 | if ((i==-POW_2_28) && (j== -1L)) |
---|
[e11ed0] | 847 | { |
---|
[1a97da] | 848 | return nlRInit(POW_2_28); |
---|
| 849 | } |
---|
[135e78] | 850 | LONG r=i%j; |
---|
[35aab3] | 851 | if (r==0) |
---|
| 852 | { |
---|
| 853 | return INT_TO_SR(i/j); |
---|
| 854 | } |
---|
[778b36] | 855 | u=ALLOC_RNUMBER(); |
---|
| 856 | u->s=0; |
---|
| 857 | #if defined(LDEBUG) |
---|
| 858 | u->debug=123456; |
---|
| 859 | #endif |
---|
[a604c3] | 860 | mpz_init_set_si(u->z,(long)i); |
---|
| 861 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 862 | } |
---|
| 863 | else |
---|
| 864 | { |
---|
[778b36] | 865 | u=ALLOC_RNUMBER(); |
---|
| 866 | u->s=0; |
---|
| 867 | #if defined(LDEBUG) |
---|
| 868 | u->debug=123456; |
---|
| 869 | #endif |
---|
[a604c3] | 870 | mpz_init(u->z); |
---|
[35aab3] | 871 | // ---------- short / long ------------------------------------ |
---|
| 872 | if (SR_HDL(a) & SR_INT) |
---|
| 873 | { |
---|
| 874 | // short a / (z/n) -> (a*n)/z |
---|
| 875 | if (b->s<2) |
---|
| 876 | { |
---|
[a604c3] | 877 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 878 | } |
---|
| 879 | else |
---|
| 880 | // short a / long z -> a/z |
---|
| 881 | { |
---|
[a604c3] | 882 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 883 | } |
---|
[a604c3] | 884 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 885 | { |
---|
[a604c3] | 886 | mpz_clear(u->z); |
---|
[896561] | 887 | FREE_RNUMBER(u); |
---|
[35aab3] | 888 | return INT_TO_SR(1); |
---|
| 889 | } |
---|
[a604c3] | 890 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 891 | } |
---|
| 892 | // ---------- long / short ------------------------------------ |
---|
| 893 | else if (SR_HDL(b) & SR_INT) |
---|
| 894 | { |
---|
[a604c3] | 895 | mpz_set(u->z,a->z); |
---|
[35aab3] | 896 | // (z/n) / b -> z/(n*b) |
---|
| 897 | if (a->s<2) |
---|
| 898 | { |
---|
[a604c3] | 899 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 900 | if ((long)b>0L) |
---|
[a604c3] | 901 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 902 | else |
---|
| 903 | { |
---|
[a604c3] | 904 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 905 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 906 | } |
---|
| 907 | } |
---|
| 908 | else |
---|
| 909 | // long z / short b -> z/b |
---|
| 910 | { |
---|
[a604c3] | 911 | //mpz_set(u->z,a->z); |
---|
| 912 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 913 | } |
---|
| 914 | } |
---|
| 915 | // ---------- long / long ------------------------------------ |
---|
| 916 | else |
---|
| 917 | { |
---|
[a604c3] | 918 | mpz_set(u->z,a->z); |
---|
| 919 | mpz_init_set(u->n,b->z); |
---|
| 920 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 921 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 922 | } |
---|
| 923 | } |
---|
[a604c3] | 924 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 925 | { |
---|
[a604c3] | 926 | mpz_neg(u->z,u->z); |
---|
| 927 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 928 | } |
---|
[a604c3] | 929 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 930 | { |
---|
[a604c3] | 931 | mpz_clear(u->n); |
---|
[35aab3] | 932 | u->s=3; |
---|
[246d15] | 933 | u=nlShort3(u); |
---|
[35aab3] | 934 | } |
---|
[2b957a] | 935 | nlTest(u, r); |
---|
[35aab3] | 936 | return u; |
---|
| 937 | } |
---|
| 938 | |
---|
| 939 | /*2 |
---|
| 940 | * u:= x ^ exp |
---|
| 941 | */ |
---|
[a642c64] | 942 | void nlPower (number x,int exp,number * u, const coeffs r) |
---|
[35aab3] | 943 | { |
---|
[6242bb3] | 944 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[ef7324] | 945 | if (exp==0) |
---|
| 946 | *u= INT_TO_SR(1); |
---|
| 947 | else if (!nlIsZero(x,r)) |
---|
[35aab3] | 948 | { |
---|
[2b957a] | 949 | nlTest(x, r); |
---|
[35aab3] | 950 | number aa=NULL; |
---|
| 951 | if (SR_HDL(x) & SR_INT) |
---|
| 952 | { |
---|
| 953 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 954 | x=aa; |
---|
| 955 | } |
---|
[ee7dcf] | 956 | else if (x->s==0) |
---|
[a642c64] | 957 | nlNormalize(x,r); |
---|
[896561] | 958 | *u=ALLOC_RNUMBER(); |
---|
[35aab3] | 959 | #if defined(LDEBUG) |
---|
| 960 | (*u)->debug=123456; |
---|
| 961 | #endif |
---|
[a604c3] | 962 | mpz_init((*u)->z); |
---|
| 963 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 964 | if (x->s<2) |
---|
| 965 | { |
---|
[a604c3] | 966 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 967 | { |
---|
| 968 | x->s=3; |
---|
[a604c3] | 969 | mpz_clear(x->n); |
---|
[35aab3] | 970 | } |
---|
| 971 | else |
---|
| 972 | { |
---|
[a604c3] | 973 | mpz_init((*u)->n); |
---|
| 974 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 975 | } |
---|
| 976 | } |
---|
| 977 | (*u)->s = x->s; |
---|
[246d15] | 978 | if ((*u)->s==3) *u=nlShort3(*u); |
---|
[35aab3] | 979 | if (aa!=NULL) |
---|
| 980 | { |
---|
[a604c3] | 981 | mpz_clear(aa->z); |
---|
[896561] | 982 | FREE_RNUMBER(aa); |
---|
[35aab3] | 983 | } |
---|
| 984 | } |
---|
| 985 | #ifdef LDEBUG |
---|
[deca7f6] | 986 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[2b957a] | 987 | nlTest(*u, r); |
---|
[35aab3] | 988 | #endif |
---|
| 989 | } |
---|
| 990 | |
---|
| 991 | |
---|
| 992 | /*2 |
---|
| 993 | * za >= 0 ? |
---|
| 994 | */ |
---|
[2b957a] | 995 | BOOLEAN nlGreaterZero (number a, const coeffs r) |
---|
[35aab3] | 996 | { |
---|
[2b957a] | 997 | nlTest(a, r); |
---|
[246d15] | 998 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1L /* represents number(0) */; |
---|
[a604c3] | 999 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 1000 | } |
---|
| 1001 | |
---|
| 1002 | /*2 |
---|
| 1003 | * a > b ? |
---|
| 1004 | */ |
---|
[a642c64] | 1005 | BOOLEAN nlGreater (number a, number b, const coeffs r) |
---|
[35aab3] | 1006 | { |
---|
[2b957a] | 1007 | nlTest(a, r); |
---|
| 1008 | nlTest(b, r); |
---|
[a642c64] | 1009 | number re; |
---|
[35aab3] | 1010 | BOOLEAN rr; |
---|
[a642c64] | 1011 | re=nlSub(a,b,r); |
---|
| 1012 | rr=(!nlIsZero(re,r)) && (nlGreaterZero(re,r)); |
---|
| 1013 | nlDelete(&re,r); |
---|
[35aab3] | 1014 | return rr; |
---|
| 1015 | } |
---|
| 1016 | |
---|
| 1017 | /*2 |
---|
| 1018 | * a == -1 ? |
---|
| 1019 | */ |
---|
[2b957a] | 1020 | BOOLEAN nlIsMOne (number a, const coeffs r) |
---|
[35aab3] | 1021 | { |
---|
| 1022 | #ifdef LDEBUG |
---|
| 1023 | if (a==NULL) return FALSE; |
---|
[2b957a] | 1024 | nlTest(a, r); |
---|
[35aab3] | 1025 | #endif |
---|
[246d15] | 1026 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1L)); |
---|
[5f4ae4] | 1027 | //return FALSE; |
---|
[246d15] | 1028 | return (a==INT_TO_SR(-1L)); |
---|
[35aab3] | 1029 | } |
---|
| 1030 | |
---|
| 1031 | /*2 |
---|
| 1032 | * result =gcd(a,b) |
---|
| 1033 | */ |
---|
[a642c64] | 1034 | number nlGcd(number a, number b, const coeffs r) |
---|
[35aab3] | 1035 | { |
---|
| 1036 | number result; |
---|
[2b957a] | 1037 | nlTest(a, r); |
---|
| 1038 | nlTest(b, r); |
---|
[35aab3] | 1039 | //nlNormalize(a); |
---|
| 1040 | //nlNormalize(b); |
---|
[246d15] | 1041 | if ((a==INT_TO_SR(1L))||(a==INT_TO_SR(-1L)) |
---|
| 1042 | || (b==INT_TO_SR(1L))||(b==INT_TO_SR(-1L))) |
---|
| 1043 | return INT_TO_SR(1L); |
---|
[f553f3] | 1044 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
[a642c64] | 1045 | return nlCopy(b,r); |
---|
[f553f3] | 1046 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
[a642c64] | 1047 | return nlCopy(a,r); |
---|
[35aab3] | 1048 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1049 | { |
---|
[246d15] | 1050 | long i=SR_TO_INT(a); |
---|
| 1051 | long j=SR_TO_INT(b); |
---|
| 1052 | if((i==0L)||(j==0L)) |
---|
[35aab3] | 1053 | return INT_TO_SR(1); |
---|
[246d15] | 1054 | long l; |
---|
[35aab3] | 1055 | i=ABS(i); |
---|
| 1056 | j=ABS(j); |
---|
| 1057 | do |
---|
| 1058 | { |
---|
| 1059 | l=i%j; |
---|
| 1060 | i=j; |
---|
| 1061 | j=l; |
---|
[246d15] | 1062 | } while (l!=0L); |
---|
[794463] | 1063 | if (i==POW_2_28) |
---|
| 1064 | result=nlRInit(POW_2_28); |
---|
| 1065 | else |
---|
| 1066 | result=INT_TO_SR(i); |
---|
[2b957a] | 1067 | nlTest(result,r); |
---|
[794463] | 1068 | return result; |
---|
[35aab3] | 1069 | } |
---|
| 1070 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1071 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1072 | if (SR_HDL(a) & SR_INT) |
---|
| 1073 | { |
---|
[794463] | 1074 | LONG aa=ABS(SR_TO_INT(a)); |
---|
| 1075 | unsigned long t=mpz_gcd_ui(NULL,b->z,(long)aa); |
---|
| 1076 | if (t==POW_2_28) |
---|
| 1077 | result=nlRInit(POW_2_28); |
---|
| 1078 | else |
---|
| 1079 | result=INT_TO_SR(t); |
---|
[35aab3] | 1080 | } |
---|
| 1081 | else |
---|
| 1082 | if (SR_HDL(b) & SR_INT) |
---|
| 1083 | { |
---|
[794463] | 1084 | LONG bb=ABS(SR_TO_INT(b)); |
---|
| 1085 | unsigned long t=mpz_gcd_ui(NULL,a->z,(long)bb); |
---|
| 1086 | if (t==POW_2_28) |
---|
| 1087 | result=nlRInit(POW_2_28); |
---|
| 1088 | else |
---|
| 1089 | result=INT_TO_SR(t); |
---|
[35aab3] | 1090 | } |
---|
| 1091 | else |
---|
| 1092 | { |
---|
[a44bcf] | 1093 | result=ALLOC0_RNUMBER(); |
---|
[a604c3] | 1094 | mpz_init(result->z); |
---|
| 1095 | mpz_gcd(result->z,a->z,b->z); |
---|
[ea66a97] | 1096 | result->s = 3; |
---|
| 1097 | #ifdef LDEBUG |
---|
| 1098 | result->debug=123456; |
---|
| 1099 | #endif |
---|
[246d15] | 1100 | result=nlShort3(result); |
---|
[35aab3] | 1101 | } |
---|
[2b957a] | 1102 | nlTest(result, r); |
---|
[35aab3] | 1103 | return result; |
---|
| 1104 | } |
---|
| 1105 | |
---|
[18057e] | 1106 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1107 | { |
---|
[18057e] | 1108 | assume(x->s<2); |
---|
[a604c3] | 1109 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1110 | { |
---|
[106406] | 1111 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1112 | return INT_TO_SR(0); |
---|
| 1113 | } |
---|
[18057e] | 1114 | if (x->s<2) |
---|
| 1115 | { |
---|
[a604c3] | 1116 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1117 | { |
---|
[106406] | 1118 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1119 | return INT_TO_SR(1); |
---|
| 1120 | } |
---|
| 1121 | } |
---|
| 1122 | return x; |
---|
| 1123 | } |
---|
[35aab3] | 1124 | /*2 |
---|
| 1125 | * simplify x |
---|
| 1126 | */ |
---|
[a642c64] | 1127 | void nlNormalize (number &x, const coeffs r) |
---|
[35aab3] | 1128 | { |
---|
| 1129 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1130 | return; |
---|
| 1131 | if (x->s==3) |
---|
| 1132 | { |
---|
[246d15] | 1133 | x=nlShort3_noinline(x); |
---|
[2b957a] | 1134 | nlTest(x,r); |
---|
[18057e] | 1135 | return; |
---|
[35aab3] | 1136 | } |
---|
[3ccafbf] | 1137 | else if (x->s==0) |
---|
[35aab3] | 1138 | { |
---|
[a604c3] | 1139 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1140 | { |
---|
[a604c3] | 1141 | mpz_clear(x->n); |
---|
[3ccafbf] | 1142 | x->s=3; |
---|
[246d15] | 1143 | x=nlShort3(x); |
---|
[eb059c5] | 1144 | } |
---|
[3ccafbf] | 1145 | else |
---|
[eb059c5] | 1146 | { |
---|
[a604c3] | 1147 | mpz_t gcd; |
---|
| 1148 | mpz_init(gcd); |
---|
| 1149 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1150 | x->s=1; |
---|
[a604c3] | 1151 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1152 | { |
---|
[90e49f7] | 1153 | MPZ_EXACTDIV(x->z,x->z,gcd); |
---|
| 1154 | MPZ_EXACTDIV(x->n,x->n,gcd); |
---|
[a604c3] | 1155 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1156 | { |
---|
[a604c3] | 1157 | mpz_clear(x->n); |
---|
[3ccafbf] | 1158 | x->s=3; |
---|
[246d15] | 1159 | x=nlShort3_noinline(x); |
---|
[3ccafbf] | 1160 | } |
---|
[eb059c5] | 1161 | } |
---|
[a604c3] | 1162 | mpz_clear(gcd); |
---|
[35aab3] | 1163 | } |
---|
| 1164 | } |
---|
[2b957a] | 1165 | nlTest(x, r); |
---|
[35aab3] | 1166 | } |
---|
| 1167 | |
---|
| 1168 | /*2 |
---|
| 1169 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1170 | */ |
---|
[a642c64] | 1171 | number nlLcm(number a, number b, const coeffs r) |
---|
[35aab3] | 1172 | { |
---|
| 1173 | number result; |
---|
[2b957a] | 1174 | nlTest(a, r); |
---|
| 1175 | nlTest(b, r); |
---|
[35aab3] | 1176 | if ((SR_HDL(b) & SR_INT) |
---|
| 1177 | || (b->s==3)) |
---|
| 1178 | { |
---|
| 1179 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
[a642c64] | 1180 | return nlCopy(a,r); |
---|
[35aab3] | 1181 | } |
---|
[896561] | 1182 | result=ALLOC_RNUMBER(); |
---|
[35aab3] | 1183 | #if defined(LDEBUG) |
---|
| 1184 | result->debug=123456; |
---|
| 1185 | #endif |
---|
| 1186 | result->s=3; |
---|
[a604c3] | 1187 | mpz_t gcd; |
---|
| 1188 | mpz_init(gcd); |
---|
| 1189 | mpz_init(result->z); |
---|
[35aab3] | 1190 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1191 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1192 | else |
---|
[a604c3] | 1193 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1194 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1195 | { |
---|
[a604c3] | 1196 | mpz_t bt; |
---|
| 1197 | mpz_init_set(bt,b->n); |
---|
| 1198 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1199 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1200 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1201 | else |
---|
[a604c3] | 1202 | mpz_mul(result->z,bt,a->z); |
---|
| 1203 | mpz_clear(bt); |
---|
[35aab3] | 1204 | } |
---|
| 1205 | else |
---|
| 1206 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1207 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1208 | else |
---|
[a604c3] | 1209 | mpz_mul(result->z,b->n,a->z); |
---|
| 1210 | mpz_clear(gcd); |
---|
[246d15] | 1211 | result=nlShort3(result); |
---|
[2b957a] | 1212 | nlTest(result, r); |
---|
[35aab3] | 1213 | return result; |
---|
| 1214 | } |
---|
| 1215 | |
---|
[79020f] | 1216 | // Map q \in QQ \to Zp |
---|
| 1217 | // src = Q, dst = Zp (or an extension of Zp?) |
---|
| 1218 | number nlModP(number q, const coeffs Q, const coeffs Zp) |
---|
[35aab3] | 1219 | { |
---|
[79020f] | 1220 | assume( getCoeffType(Q) == ID ); |
---|
| 1221 | |
---|
| 1222 | const int p = n_GetChar(Zp); |
---|
| 1223 | assume( p > 0 ); |
---|
| 1224 | |
---|
| 1225 | const long P = p; |
---|
| 1226 | assume( P > 0 ); |
---|
| 1227 | |
---|
| 1228 | // embedded long within q => only long numerator has to be converted |
---|
| 1229 | // to int (modulo char.) |
---|
| 1230 | if (SR_HDL(q) & SR_INT) |
---|
[35aab3] | 1231 | { |
---|
[79020f] | 1232 | long i = SR_TO_INT(q); |
---|
| 1233 | if (i<0L) |
---|
| 1234 | return n_Init( static_cast<int>( P - ((-i)%P) ), Zp); |
---|
| 1235 | else |
---|
| 1236 | return n_Init( static_cast<int>( i % P ), Zp ); |
---|
[35aab3] | 1237 | } |
---|
[79020f] | 1238 | |
---|
| 1239 | const unsigned long PP = p; |
---|
| 1240 | |
---|
| 1241 | // numerator modulo char. should fit into int |
---|
[e11ed0] | 1242 | number z = n_Init( static_cast<int>(mpz_fdiv_ui(q->z, PP)), Zp ); |
---|
[79020f] | 1243 | |
---|
| 1244 | // denominator != 1? |
---|
| 1245 | if (q->s!=3) |
---|
[35aab3] | 1246 | { |
---|
[79020f] | 1247 | // denominator modulo char. should fit into int |
---|
| 1248 | number n = n_Init( static_cast<int>(mpz_fdiv_ui(q->n, PP)), Zp ); |
---|
| 1249 | |
---|
| 1250 | number res = n_Div( z, n, Zp ); |
---|
| 1251 | |
---|
| 1252 | n_Delete(&z, Zp); |
---|
| 1253 | n_Delete(&n, Zp); |
---|
| 1254 | |
---|
| 1255 | return res; |
---|
[35aab3] | 1256 | } |
---|
[79020f] | 1257 | |
---|
| 1258 | return z; |
---|
[35aab3] | 1259 | } |
---|
| 1260 | |
---|
[894f5b1] | 1261 | #ifdef HAVE_RINGS |
---|
| 1262 | /*2 |
---|
[1919112] | 1263 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1264 | */ |
---|
[2518db] | 1265 | void nlGMP(number &i, number n, const coeffs r) |
---|
[894f5b1] | 1266 | { |
---|
| 1267 | // Hier brauche ich einfach die GMP Zahl |
---|
[2b957a] | 1268 | nlTest(i, r); |
---|
[2518db] | 1269 | nlNormalize(i, r); |
---|
[894f5b1] | 1270 | if (SR_HDL(i) & SR_INT) |
---|
| 1271 | { |
---|
[246d15] | 1272 | mpz_set_si((mpz_ptr) n, SR_TO_INT(i)); |
---|
[0959dc] | 1273 | return; |
---|
[894f5b1] | 1274 | } |
---|
| 1275 | if (i->s!=3) |
---|
| 1276 | { |
---|
| 1277 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1278 | } |
---|
[a604c3] | 1279 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1280 | } |
---|
| 1281 | #endif |
---|
| 1282 | |
---|
[35aab3] | 1283 | /*2 |
---|
| 1284 | * acces to denominator, other 1 for integers |
---|
| 1285 | */ |
---|
[a642c64] | 1286 | number nlGetDenom(number &n, const coeffs r) |
---|
[35aab3] | 1287 | { |
---|
| 1288 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1289 | { |
---|
| 1290 | if (n->s==0) |
---|
| 1291 | { |
---|
[a642c64] | 1292 | nlNormalize(n,r); |
---|
[35aab3] | 1293 | } |
---|
| 1294 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1295 | { |
---|
| 1296 | if (n->s!=3) |
---|
| 1297 | { |
---|
[896561] | 1298 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1299 | u->s=3; |
---|
| 1300 | #if defined(LDEBUG) |
---|
| 1301 | u->debug=123456; |
---|
| 1302 | #endif |
---|
[a604c3] | 1303 | mpz_init_set(u->z,n->n); |
---|
[246d15] | 1304 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1305 | return u; |
---|
| 1306 | } |
---|
| 1307 | } |
---|
| 1308 | } |
---|
| 1309 | return INT_TO_SR(1); |
---|
| 1310 | } |
---|
| 1311 | |
---|
| 1312 | /*2 |
---|
| 1313 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1314 | */ |
---|
[a642c64] | 1315 | number nlGetNumerator(number &n, const coeffs r) |
---|
[35aab3] | 1316 | { |
---|
| 1317 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1318 | { |
---|
| 1319 | if (n->s==0) |
---|
| 1320 | { |
---|
[a642c64] | 1321 | nlNormalize(n,r); |
---|
[35aab3] | 1322 | } |
---|
| 1323 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1324 | { |
---|
[896561] | 1325 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1326 | #if defined(LDEBUG) |
---|
| 1327 | u->debug=123456; |
---|
| 1328 | #endif |
---|
| 1329 | u->s=3; |
---|
[a604c3] | 1330 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1331 | if (n->s!=3) |
---|
| 1332 | { |
---|
[246d15] | 1333 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1334 | } |
---|
| 1335 | return u; |
---|
| 1336 | } |
---|
| 1337 | } |
---|
| 1338 | return n; // imm. int |
---|
| 1339 | } |
---|
| 1340 | |
---|
| 1341 | /*************************************************************** |
---|
| 1342 | * |
---|
| 1343 | * routines which are needed by Inline(d) routines |
---|
| 1344 | * |
---|
| 1345 | *******************************************************************/ |
---|
| 1346 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1347 | { |
---|
| 1348 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1349 | // long - short |
---|
| 1350 | BOOLEAN bo; |
---|
| 1351 | if (SR_HDL(b) & SR_INT) |
---|
| 1352 | { |
---|
| 1353 | if (a->s!=0) return FALSE; |
---|
| 1354 | number n=b; b=a; a=n; |
---|
| 1355 | } |
---|
| 1356 | // short - long |
---|
| 1357 | if (SR_HDL(a) & SR_INT) |
---|
| 1358 | { |
---|
| 1359 | if (b->s!=0) |
---|
| 1360 | return FALSE; |
---|
[a604c3] | 1361 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1362 | return FALSE; |
---|
[a604c3] | 1363 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1364 | return FALSE; |
---|
[a604c3] | 1365 | mpz_t bb; |
---|
| 1366 | mpz_init_set(bb,b->n); |
---|
| 1367 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1368 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1369 | mpz_clear(bb); |
---|
[35aab3] | 1370 | return bo; |
---|
| 1371 | } |
---|
| 1372 | // long - long |
---|
| 1373 | if (((a->s==1) && (b->s==3)) |
---|
| 1374 | || ((b->s==1) && (a->s==3))) |
---|
| 1375 | return FALSE; |
---|
[a604c3] | 1376 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1377 | return FALSE; |
---|
[a604c3] | 1378 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1379 | return FALSE; |
---|
[a604c3] | 1380 | mpz_t aa; |
---|
| 1381 | mpz_t bb; |
---|
| 1382 | mpz_init_set(aa,a->z); |
---|
| 1383 | mpz_init_set(bb,b->z); |
---|
| 1384 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1385 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1386 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1387 | mpz_clear(aa); |
---|
| 1388 | mpz_clear(bb); |
---|
[35aab3] | 1389 | return bo; |
---|
| 1390 | } |
---|
| 1391 | |
---|
| 1392 | // copy not immediate number a |
---|
[e69b7c] | 1393 | number _nlCopy_NoImm(number a) |
---|
[35aab3] | 1394 | { |
---|
| 1395 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
[e69b7c] | 1396 | //nlTest(a, r); |
---|
[896561] | 1397 | number b=ALLOC_RNUMBER(); |
---|
[35aab3] | 1398 | #if defined(LDEBUG) |
---|
| 1399 | b->debug=123456; |
---|
| 1400 | #endif |
---|
| 1401 | switch (a->s) |
---|
| 1402 | { |
---|
| 1403 | case 0: |
---|
| 1404 | case 1: |
---|
[a604c3] | 1405 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1406 | case 3: |
---|
[a604c3] | 1407 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1408 | break; |
---|
| 1409 | } |
---|
| 1410 | b->s = a->s; |
---|
| 1411 | return b; |
---|
| 1412 | } |
---|
| 1413 | |
---|
[fee4c2] | 1414 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1415 | { |
---|
| 1416 | { |
---|
| 1417 | switch ((*a)->s) |
---|
| 1418 | { |
---|
| 1419 | case 0: |
---|
| 1420 | case 1: |
---|
[a604c3] | 1421 | mpz_clear((*a)->n); |
---|
[35aab3] | 1422 | case 3: |
---|
[a604c3] | 1423 | mpz_clear((*a)->z); |
---|
[35aab3] | 1424 | #ifdef LDEBUG |
---|
| 1425 | (*a)->s=2; |
---|
| 1426 | #endif |
---|
| 1427 | } |
---|
[d663f2] | 1428 | FREE_RNUMBER(*a); // omFreeBin((void *) *a, rnumber_bin); |
---|
[35aab3] | 1429 | } |
---|
| 1430 | } |
---|
| 1431 | |
---|
[e69b7c] | 1432 | number _nlNeg_NoImm(number a) |
---|
[35aab3] | 1433 | { |
---|
| 1434 | { |
---|
[a604c3] | 1435 | mpz_neg(a->z,a->z); |
---|
[246d15] | 1436 | if (a->s==3) |
---|
[35aab3] | 1437 | { |
---|
[246d15] | 1438 | a=nlShort3(a); |
---|
[35aab3] | 1439 | } |
---|
| 1440 | } |
---|
| 1441 | return a; |
---|
| 1442 | } |
---|
| 1443 | |
---|
[e69b7c] | 1444 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1445 | { |
---|
[896561] | 1446 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1447 | #if defined(LDEBUG) |
---|
| 1448 | u->debug=123456; |
---|
| 1449 | #endif |
---|
[a604c3] | 1450 | mpz_init(u->z); |
---|
[35aab3] | 1451 | if (SR_HDL(b) & SR_INT) |
---|
| 1452 | { |
---|
| 1453 | number x=a; |
---|
| 1454 | a=b; |
---|
| 1455 | b=x; |
---|
| 1456 | } |
---|
| 1457 | if (SR_HDL(a) & SR_INT) |
---|
| 1458 | { |
---|
| 1459 | switch (b->s) |
---|
| 1460 | { |
---|
| 1461 | case 0: |
---|
| 1462 | case 1:/* a:short, b:1 */ |
---|
| 1463 | { |
---|
[a604c3] | 1464 | mpz_t x; |
---|
| 1465 | mpz_init(x); |
---|
| 1466 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1467 | mpz_add(u->z,b->z,x); |
---|
| 1468 | mpz_clear(x); |
---|
| 1469 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1470 | { |
---|
[a604c3] | 1471 | mpz_clear(u->z); |
---|
[896561] | 1472 | FREE_RNUMBER(u); |
---|
[35aab3] | 1473 | return INT_TO_SR(0); |
---|
| 1474 | } |
---|
[a604c3] | 1475 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1476 | { |
---|
[a604c3] | 1477 | mpz_clear(u->z); |
---|
[896561] | 1478 | FREE_RNUMBER(u); |
---|
[35aab3] | 1479 | return INT_TO_SR(1); |
---|
| 1480 | } |
---|
[a604c3] | 1481 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1482 | u->s = 0; |
---|
| 1483 | break; |
---|
| 1484 | } |
---|
| 1485 | case 3: |
---|
| 1486 | { |
---|
[7447d8] | 1487 | if ((long)a>0L) |
---|
[a604c3] | 1488 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1489 | else |
---|
[a604c3] | 1490 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1491 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1492 | { |
---|
[a604c3] | 1493 | mpz_clear(u->z); |
---|
[896561] | 1494 | FREE_RNUMBER(u); |
---|
[35aab3] | 1495 | return INT_TO_SR(0); |
---|
| 1496 | } |
---|
| 1497 | u->s = 3; |
---|
[246d15] | 1498 | u=nlShort3(u); |
---|
[35aab3] | 1499 | break; |
---|
| 1500 | } |
---|
| 1501 | } |
---|
| 1502 | } |
---|
| 1503 | else |
---|
| 1504 | { |
---|
| 1505 | switch (a->s) |
---|
| 1506 | { |
---|
| 1507 | case 0: |
---|
| 1508 | case 1: |
---|
| 1509 | { |
---|
| 1510 | switch(b->s) |
---|
| 1511 | { |
---|
| 1512 | case 0: |
---|
| 1513 | case 1: |
---|
| 1514 | { |
---|
[a604c3] | 1515 | mpz_t x; |
---|
| 1516 | mpz_init(x); |
---|
[e8a0aa] | 1517 | |
---|
[a604c3] | 1518 | mpz_mul(x,b->z,a->n); |
---|
| 1519 | mpz_mul(u->z,a->z,b->n); |
---|
| 1520 | mpz_add(u->z,u->z,x); |
---|
| 1521 | mpz_clear(x); |
---|
[e8a0aa] | 1522 | |
---|
[a604c3] | 1523 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1524 | { |
---|
[a604c3] | 1525 | mpz_clear(u->z); |
---|
[896561] | 1526 | FREE_RNUMBER(u); |
---|
[35aab3] | 1527 | return INT_TO_SR(0); |
---|
| 1528 | } |
---|
[a604c3] | 1529 | mpz_init(u->n); |
---|
| 1530 | mpz_mul(u->n,a->n,b->n); |
---|
| 1531 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1532 | { |
---|
[a604c3] | 1533 | mpz_clear(u->z); |
---|
| 1534 | mpz_clear(u->n); |
---|
[896561] | 1535 | FREE_RNUMBER(u); |
---|
[35aab3] | 1536 | return INT_TO_SR(1); |
---|
| 1537 | } |
---|
| 1538 | u->s = 0; |
---|
| 1539 | break; |
---|
| 1540 | } |
---|
| 1541 | case 3: /* a:1 b:3 */ |
---|
| 1542 | { |
---|
[a604c3] | 1543 | mpz_mul(u->z,b->z,a->n); |
---|
| 1544 | mpz_add(u->z,u->z,a->z); |
---|
| 1545 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1546 | { |
---|
[a604c3] | 1547 | mpz_clear(u->z); |
---|
[896561] | 1548 | FREE_RNUMBER(u); |
---|
[35aab3] | 1549 | return INT_TO_SR(0); |
---|
| 1550 | } |
---|
[a604c3] | 1551 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1552 | { |
---|
[a604c3] | 1553 | mpz_clear(u->z); |
---|
[896561] | 1554 | FREE_RNUMBER(u); |
---|
[35aab3] | 1555 | return INT_TO_SR(1); |
---|
| 1556 | } |
---|
[a604c3] | 1557 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1558 | u->s = 0; |
---|
| 1559 | break; |
---|
| 1560 | } |
---|
| 1561 | } /*switch (b->s) */ |
---|
| 1562 | break; |
---|
| 1563 | } |
---|
| 1564 | case 3: |
---|
| 1565 | { |
---|
| 1566 | switch(b->s) |
---|
| 1567 | { |
---|
| 1568 | case 0: |
---|
| 1569 | case 1:/* a:3, b:1 */ |
---|
| 1570 | { |
---|
[a604c3] | 1571 | mpz_mul(u->z,a->z,b->n); |
---|
| 1572 | mpz_add(u->z,u->z,b->z); |
---|
| 1573 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1574 | { |
---|
[a604c3] | 1575 | mpz_clear(u->z); |
---|
[896561] | 1576 | FREE_RNUMBER(u); |
---|
[35aab3] | 1577 | return INT_TO_SR(0); |
---|
| 1578 | } |
---|
[a604c3] | 1579 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1580 | { |
---|
[a604c3] | 1581 | mpz_clear(u->z); |
---|
[896561] | 1582 | FREE_RNUMBER(u); |
---|
[35aab3] | 1583 | return INT_TO_SR(1); |
---|
| 1584 | } |
---|
[a604c3] | 1585 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1586 | u->s = 0; |
---|
| 1587 | break; |
---|
| 1588 | } |
---|
| 1589 | case 3: |
---|
| 1590 | { |
---|
[a604c3] | 1591 | mpz_add(u->z,a->z,b->z); |
---|
| 1592 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1593 | { |
---|
[a604c3] | 1594 | mpz_clear(u->z); |
---|
[896561] | 1595 | FREE_RNUMBER(u); |
---|
[35aab3] | 1596 | return INT_TO_SR(0); |
---|
| 1597 | } |
---|
| 1598 | u->s = 3; |
---|
[246d15] | 1599 | u=nlShort3(u); |
---|
[35aab3] | 1600 | break; |
---|
| 1601 | } |
---|
| 1602 | } |
---|
| 1603 | break; |
---|
| 1604 | } |
---|
| 1605 | } |
---|
| 1606 | } |
---|
| 1607 | return u; |
---|
| 1608 | } |
---|
| 1609 | |
---|
[65c5f5] | 1610 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b) |
---|
| 1611 | { |
---|
| 1612 | if (SR_HDL(b) & SR_INT) |
---|
| 1613 | { |
---|
| 1614 | switch (a->s) |
---|
| 1615 | { |
---|
| 1616 | case 0: |
---|
| 1617 | case 1:/* b:short, a:1 */ |
---|
| 1618 | { |
---|
| 1619 | mpz_t x; |
---|
| 1620 | mpz_init(x); |
---|
| 1621 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1622 | mpz_add(a->z,a->z,x); |
---|
| 1623 | mpz_clear(x); |
---|
| 1624 | a->s = 0; |
---|
| 1625 | a=nlShort1(a); |
---|
| 1626 | break; |
---|
| 1627 | } |
---|
| 1628 | case 3: |
---|
| 1629 | { |
---|
| 1630 | if ((long)b>0L) |
---|
| 1631 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
| 1632 | else |
---|
| 1633 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
| 1634 | a->s = 3; |
---|
| 1635 | a=nlShort3_noinline(a); |
---|
| 1636 | break; |
---|
| 1637 | } |
---|
| 1638 | } |
---|
| 1639 | return; |
---|
| 1640 | } |
---|
| 1641 | else if (SR_HDL(a) & SR_INT) |
---|
| 1642 | { |
---|
| 1643 | number u=ALLOC_RNUMBER(); |
---|
| 1644 | #if defined(LDEBUG) |
---|
| 1645 | u->debug=123456; |
---|
| 1646 | #endif |
---|
| 1647 | mpz_init(u->z); |
---|
| 1648 | switch (b->s) |
---|
| 1649 | { |
---|
| 1650 | case 0: |
---|
| 1651 | case 1:/* a:short, b:1 */ |
---|
| 1652 | { |
---|
| 1653 | mpz_t x; |
---|
| 1654 | mpz_init(x); |
---|
| 1655 | |
---|
| 1656 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1657 | mpz_add(u->z,b->z,x); |
---|
| 1658 | mpz_clear(x); |
---|
| 1659 | // result cannot be 0, if coeffs are normalized |
---|
| 1660 | mpz_init_set(u->n,b->n); |
---|
| 1661 | u->s = 0; |
---|
| 1662 | u=nlShort1(u); |
---|
| 1663 | break; |
---|
| 1664 | } |
---|
| 1665 | case 3: |
---|
| 1666 | { |
---|
| 1667 | if ((long)a>0L) |
---|
| 1668 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1669 | else |
---|
| 1670 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1671 | // result cannot be 0, if coeffs are normalized |
---|
| 1672 | u->s = 3; |
---|
| 1673 | u=nlShort3_noinline(u); |
---|
| 1674 | break; |
---|
| 1675 | } |
---|
| 1676 | } |
---|
| 1677 | a=u; |
---|
| 1678 | } |
---|
| 1679 | else |
---|
| 1680 | { |
---|
| 1681 | switch (a->s) |
---|
| 1682 | { |
---|
| 1683 | case 0: |
---|
| 1684 | case 1: |
---|
| 1685 | { |
---|
| 1686 | switch(b->s) |
---|
| 1687 | { |
---|
| 1688 | case 0: |
---|
| 1689 | case 1: /* a:1 b:1 */ |
---|
| 1690 | { |
---|
| 1691 | mpz_t x; |
---|
| 1692 | mpz_t y; |
---|
| 1693 | mpz_init(x); |
---|
| 1694 | mpz_init(y); |
---|
| 1695 | mpz_mul(x,b->z,a->n); |
---|
| 1696 | mpz_mul(y,a->z,b->n); |
---|
| 1697 | mpz_add(a->z,x,y); |
---|
| 1698 | mpz_clear(x); |
---|
| 1699 | mpz_clear(y); |
---|
| 1700 | mpz_mul(a->n,a->n,b->n); |
---|
| 1701 | a->s = 0; |
---|
| 1702 | break; |
---|
| 1703 | } |
---|
| 1704 | case 3: /* a:1 b:3 */ |
---|
| 1705 | { |
---|
| 1706 | mpz_t x; |
---|
| 1707 | mpz_init(x); |
---|
| 1708 | mpz_mul(x,b->z,a->n); |
---|
| 1709 | mpz_add(a->z,a->z,x); |
---|
| 1710 | mpz_clear(x); |
---|
| 1711 | a->s = 0; |
---|
| 1712 | break; |
---|
| 1713 | } |
---|
| 1714 | } /*switch (b->s) */ |
---|
| 1715 | a=nlShort1(a); |
---|
| 1716 | break; |
---|
| 1717 | } |
---|
| 1718 | case 3: |
---|
| 1719 | { |
---|
| 1720 | switch(b->s) |
---|
| 1721 | { |
---|
| 1722 | case 0: |
---|
| 1723 | case 1:/* a:3, b:1 */ |
---|
| 1724 | { |
---|
| 1725 | mpz_t x; |
---|
| 1726 | mpz_init(x); |
---|
| 1727 | mpz_mul(x,a->z,b->n); |
---|
| 1728 | mpz_add(a->z,b->z,x); |
---|
| 1729 | mpz_clear(x); |
---|
| 1730 | mpz_init_set(a->n,b->n); |
---|
| 1731 | a->s = 0; |
---|
| 1732 | a=nlShort1(a); |
---|
| 1733 | break; |
---|
| 1734 | } |
---|
| 1735 | case 3: |
---|
| 1736 | { |
---|
| 1737 | mpz_add(a->z,a->z,b->z); |
---|
| 1738 | a->s = 3; |
---|
| 1739 | a=nlShort3_noinline(a); |
---|
| 1740 | break; |
---|
| 1741 | } |
---|
| 1742 | } |
---|
| 1743 | break; |
---|
| 1744 | } |
---|
| 1745 | } |
---|
| 1746 | } |
---|
| 1747 | } |
---|
| 1748 | |
---|
[e69b7c] | 1749 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1750 | { |
---|
[896561] | 1751 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1752 | #if defined(LDEBUG) |
---|
| 1753 | u->debug=123456; |
---|
| 1754 | #endif |
---|
[a604c3] | 1755 | mpz_init(u->z); |
---|
[35aab3] | 1756 | if (SR_HDL(a) & SR_INT) |
---|
| 1757 | { |
---|
| 1758 | switch (b->s) |
---|
| 1759 | { |
---|
| 1760 | case 0: |
---|
| 1761 | case 1:/* a:short, b:1 */ |
---|
| 1762 | { |
---|
[a604c3] | 1763 | mpz_t x; |
---|
| 1764 | mpz_init(x); |
---|
| 1765 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1766 | mpz_sub(u->z,x,b->z); |
---|
| 1767 | mpz_clear(x); |
---|
| 1768 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1769 | { |
---|
[a604c3] | 1770 | mpz_clear(u->z); |
---|
[896561] | 1771 | FREE_RNUMBER(u); |
---|
[35aab3] | 1772 | return INT_TO_SR(0); |
---|
| 1773 | } |
---|
[a604c3] | 1774 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1775 | { |
---|
[a604c3] | 1776 | mpz_clear(u->z); |
---|
[896561] | 1777 | FREE_RNUMBER(u); |
---|
[35aab3] | 1778 | return INT_TO_SR(1); |
---|
| 1779 | } |
---|
[a604c3] | 1780 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1781 | u->s = 0; |
---|
| 1782 | break; |
---|
| 1783 | } |
---|
| 1784 | case 3: |
---|
| 1785 | { |
---|
[7447d8] | 1786 | if ((long)a>0L) |
---|
[35aab3] | 1787 | { |
---|
[a604c3] | 1788 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1789 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1790 | } |
---|
| 1791 | else |
---|
| 1792 | { |
---|
[a604c3] | 1793 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1794 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1795 | } |
---|
[a604c3] | 1796 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1797 | { |
---|
[a604c3] | 1798 | mpz_clear(u->z); |
---|
[896561] | 1799 | FREE_RNUMBER(u); |
---|
[35aab3] | 1800 | return INT_TO_SR(0); |
---|
| 1801 | } |
---|
| 1802 | u->s = 3; |
---|
[246d15] | 1803 | u=nlShort3(u); |
---|
[35aab3] | 1804 | break; |
---|
| 1805 | } |
---|
| 1806 | } |
---|
| 1807 | } |
---|
| 1808 | else if (SR_HDL(b) & SR_INT) |
---|
| 1809 | { |
---|
| 1810 | switch (a->s) |
---|
| 1811 | { |
---|
| 1812 | case 0: |
---|
| 1813 | case 1:/* b:short, a:1 */ |
---|
| 1814 | { |
---|
[a604c3] | 1815 | mpz_t x; |
---|
| 1816 | mpz_init(x); |
---|
| 1817 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1818 | mpz_sub(u->z,a->z,x); |
---|
| 1819 | mpz_clear(x); |
---|
| 1820 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1821 | { |
---|
[a604c3] | 1822 | mpz_clear(u->z); |
---|
[896561] | 1823 | FREE_RNUMBER(u); |
---|
[35aab3] | 1824 | return INT_TO_SR(0); |
---|
| 1825 | } |
---|
[a604c3] | 1826 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1827 | { |
---|
[a604c3] | 1828 | mpz_clear(u->z); |
---|
[896561] | 1829 | FREE_RNUMBER(u); |
---|
[35aab3] | 1830 | return INT_TO_SR(1); |
---|
| 1831 | } |
---|
[a604c3] | 1832 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1833 | u->s = 0; |
---|
| 1834 | break; |
---|
| 1835 | } |
---|
| 1836 | case 3: |
---|
| 1837 | { |
---|
[7447d8] | 1838 | if ((long)b>0L) |
---|
[35aab3] | 1839 | { |
---|
[a604c3] | 1840 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1841 | } |
---|
| 1842 | else |
---|
| 1843 | { |
---|
[a604c3] | 1844 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1845 | } |
---|
[a604c3] | 1846 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1847 | { |
---|
[a604c3] | 1848 | mpz_clear(u->z); |
---|
[896561] | 1849 | FREE_RNUMBER(u); |
---|
[35aab3] | 1850 | return INT_TO_SR(0); |
---|
| 1851 | } |
---|
| 1852 | u->s = 3; |
---|
[246d15] | 1853 | u=nlShort3(u); |
---|
[35aab3] | 1854 | break; |
---|
| 1855 | } |
---|
| 1856 | } |
---|
| 1857 | } |
---|
| 1858 | else |
---|
| 1859 | { |
---|
| 1860 | switch (a->s) |
---|
| 1861 | { |
---|
| 1862 | case 0: |
---|
| 1863 | case 1: |
---|
| 1864 | { |
---|
| 1865 | switch(b->s) |
---|
| 1866 | { |
---|
| 1867 | case 0: |
---|
| 1868 | case 1: |
---|
| 1869 | { |
---|
[a604c3] | 1870 | mpz_t x; |
---|
| 1871 | mpz_t y; |
---|
| 1872 | mpz_init(x); |
---|
| 1873 | mpz_init(y); |
---|
| 1874 | mpz_mul(x,b->z,a->n); |
---|
| 1875 | mpz_mul(y,a->z,b->n); |
---|
| 1876 | mpz_sub(u->z,y,x); |
---|
| 1877 | mpz_clear(x); |
---|
| 1878 | mpz_clear(y); |
---|
| 1879 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1880 | { |
---|
[a604c3] | 1881 | mpz_clear(u->z); |
---|
[896561] | 1882 | FREE_RNUMBER(u); |
---|
[35aab3] | 1883 | return INT_TO_SR(0); |
---|
| 1884 | } |
---|
[a604c3] | 1885 | mpz_init(u->n); |
---|
| 1886 | mpz_mul(u->n,a->n,b->n); |
---|
| 1887 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1888 | { |
---|
[a604c3] | 1889 | mpz_clear(u->z); |
---|
| 1890 | mpz_clear(u->n); |
---|
[896561] | 1891 | FREE_RNUMBER(u); |
---|
[35aab3] | 1892 | return INT_TO_SR(1); |
---|
| 1893 | } |
---|
| 1894 | u->s = 0; |
---|
| 1895 | break; |
---|
| 1896 | } |
---|
| 1897 | case 3: /* a:1, b:3 */ |
---|
| 1898 | { |
---|
[a604c3] | 1899 | mpz_t x; |
---|
| 1900 | mpz_init(x); |
---|
| 1901 | mpz_mul(x,b->z,a->n); |
---|
| 1902 | mpz_sub(u->z,a->z,x); |
---|
| 1903 | mpz_clear(x); |
---|
| 1904 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1905 | { |
---|
[a604c3] | 1906 | mpz_clear(u->z); |
---|
[896561] | 1907 | FREE_RNUMBER(u); |
---|
[35aab3] | 1908 | return INT_TO_SR(0); |
---|
| 1909 | } |
---|
[a604c3] | 1910 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1911 | { |
---|
[a604c3] | 1912 | mpz_clear(u->z); |
---|
[896561] | 1913 | FREE_RNUMBER(u); |
---|
[35aab3] | 1914 | return INT_TO_SR(1); |
---|
| 1915 | } |
---|
[a604c3] | 1916 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1917 | u->s = 0; |
---|
| 1918 | break; |
---|
| 1919 | } |
---|
| 1920 | } |
---|
| 1921 | break; |
---|
| 1922 | } |
---|
| 1923 | case 3: |
---|
| 1924 | { |
---|
| 1925 | switch(b->s) |
---|
| 1926 | { |
---|
| 1927 | case 0: |
---|
| 1928 | case 1: /* a:3, b:1 */ |
---|
| 1929 | { |
---|
[a604c3] | 1930 | mpz_t x; |
---|
| 1931 | mpz_init(x); |
---|
| 1932 | mpz_mul(x,a->z,b->n); |
---|
| 1933 | mpz_sub(u->z,x,b->z); |
---|
| 1934 | mpz_clear(x); |
---|
| 1935 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1936 | { |
---|
[a604c3] | 1937 | mpz_clear(u->z); |
---|
[896561] | 1938 | FREE_RNUMBER(u); |
---|
[35aab3] | 1939 | return INT_TO_SR(0); |
---|
| 1940 | } |
---|
[a604c3] | 1941 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1942 | { |
---|
[a604c3] | 1943 | mpz_clear(u->z); |
---|
[896561] | 1944 | FREE_RNUMBER(u); |
---|
[35aab3] | 1945 | return INT_TO_SR(1); |
---|
| 1946 | } |
---|
[a604c3] | 1947 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1948 | u->s = 0; |
---|
| 1949 | break; |
---|
| 1950 | } |
---|
| 1951 | case 3: /* a:3 , b:3 */ |
---|
| 1952 | { |
---|
[a604c3] | 1953 | mpz_sub(u->z,a->z,b->z); |
---|
| 1954 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1955 | { |
---|
[a604c3] | 1956 | mpz_clear(u->z); |
---|
[896561] | 1957 | FREE_RNUMBER(u); |
---|
[35aab3] | 1958 | return INT_TO_SR(0); |
---|
| 1959 | } |
---|
| 1960 | u->s = 3; |
---|
[246d15] | 1961 | u=nlShort3(u); |
---|
[35aab3] | 1962 | break; |
---|
| 1963 | } |
---|
| 1964 | } |
---|
| 1965 | break; |
---|
| 1966 | } |
---|
| 1967 | } |
---|
| 1968 | } |
---|
| 1969 | return u; |
---|
| 1970 | } |
---|
| 1971 | |
---|
| 1972 | // a and b are intermediate, but a*b not |
---|
[e69b7c] | 1973 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
[35aab3] | 1974 | { |
---|
[896561] | 1975 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1976 | #if defined(LDEBUG) |
---|
| 1977 | u->debug=123456; |
---|
| 1978 | #endif |
---|
| 1979 | u->s=3; |
---|
[246d15] | 1980 | mpz_init_set_si(u->z,SR_TO_INT(a)); |
---|
| 1981 | mpz_mul_si(u->z,u->z,SR_TO_INT(b)); |
---|
[35aab3] | 1982 | return u; |
---|
| 1983 | } |
---|
| 1984 | |
---|
| 1985 | // a or b are not immediate |
---|
[e69b7c] | 1986 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1987 | { |
---|
| 1988 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
[896561] | 1989 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1990 | #if defined(LDEBUG) |
---|
| 1991 | u->debug=123456; |
---|
| 1992 | #endif |
---|
[a604c3] | 1993 | mpz_init(u->z); |
---|
[35aab3] | 1994 | if (SR_HDL(b) & SR_INT) |
---|
| 1995 | { |
---|
| 1996 | number x=a; |
---|
| 1997 | a=b; |
---|
| 1998 | b=x; |
---|
| 1999 | } |
---|
| 2000 | if (SR_HDL(a) & SR_INT) |
---|
| 2001 | { |
---|
| 2002 | u->s=b->s; |
---|
| 2003 | if (u->s==1) u->s=0; |
---|
[7447d8] | 2004 | if ((long)a>0L) |
---|
[35aab3] | 2005 | { |
---|
[a604c3] | 2006 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 2007 | } |
---|
| 2008 | else |
---|
| 2009 | { |
---|
| 2010 | if (a==INT_TO_SR(-1)) |
---|
| 2011 | { |
---|
[a604c3] | 2012 | mpz_set(u->z,b->z); |
---|
| 2013 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2014 | u->s=b->s; |
---|
| 2015 | } |
---|
| 2016 | else |
---|
| 2017 | { |
---|
[a604c3] | 2018 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 2019 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2020 | } |
---|
| 2021 | } |
---|
| 2022 | if (u->s<2) |
---|
| 2023 | { |
---|
[a604c3] | 2024 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2025 | { |
---|
[a604c3] | 2026 | mpz_clear(u->z); |
---|
[896561] | 2027 | FREE_RNUMBER(u); |
---|
[35aab3] | 2028 | return INT_TO_SR(1); |
---|
| 2029 | } |
---|
[a604c3] | 2030 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2031 | } |
---|
| 2032 | else //u->s==3 |
---|
| 2033 | { |
---|
[246d15] | 2034 | u=nlShort3(u); |
---|
[35aab3] | 2035 | } |
---|
| 2036 | } |
---|
| 2037 | else |
---|
| 2038 | { |
---|
[a604c3] | 2039 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 2040 | u->s = 0; |
---|
| 2041 | if(a->s==3) |
---|
| 2042 | { |
---|
| 2043 | if(b->s==3) |
---|
| 2044 | { |
---|
| 2045 | u->s = 3; |
---|
| 2046 | } |
---|
| 2047 | else |
---|
| 2048 | { |
---|
[a604c3] | 2049 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2050 | { |
---|
[a604c3] | 2051 | mpz_clear(u->z); |
---|
[896561] | 2052 | FREE_RNUMBER(u); |
---|
[35aab3] | 2053 | return INT_TO_SR(1); |
---|
| 2054 | } |
---|
[a604c3] | 2055 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2056 | } |
---|
| 2057 | } |
---|
| 2058 | else |
---|
| 2059 | { |
---|
| 2060 | if(b->s==3) |
---|
| 2061 | { |
---|
[a604c3] | 2062 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 2063 | { |
---|
[a604c3] | 2064 | mpz_clear(u->z); |
---|
[896561] | 2065 | FREE_RNUMBER(u); |
---|
[35aab3] | 2066 | return INT_TO_SR(1); |
---|
| 2067 | } |
---|
[a604c3] | 2068 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 2069 | } |
---|
| 2070 | else |
---|
| 2071 | { |
---|
[a604c3] | 2072 | mpz_init(u->n); |
---|
| 2073 | mpz_mul(u->n,a->n,b->n); |
---|
| 2074 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 2075 | { |
---|
[a604c3] | 2076 | mpz_clear(u->z); |
---|
| 2077 | mpz_clear(u->n); |
---|
[896561] | 2078 | FREE_RNUMBER(u); |
---|
[35aab3] | 2079 | return INT_TO_SR(1); |
---|
| 2080 | } |
---|
| 2081 | } |
---|
| 2082 | } |
---|
| 2083 | } |
---|
| 2084 | return u; |
---|
| 2085 | } |
---|
| 2086 | |
---|
[371bc5f] | 2087 | /*2 |
---|
[fa31d2] | 2088 | * copy a to b for mapping |
---|
[371bc5f] | 2089 | */ |
---|
[fa31d2] | 2090 | number nlCopyMap(number a, const coeffs src, const coeffs dst) |
---|
[371bc5f] | 2091 | { |
---|
[fa31d2] | 2092 | assume( getCoeffType(dst) == ID ); |
---|
| 2093 | assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2094 | |
---|
[371bc5f] | 2095 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2096 | { |
---|
| 2097 | return a; |
---|
| 2098 | } |
---|
[e69b7c] | 2099 | return _nlCopy_NoImm(a); |
---|
[371bc5f] | 2100 | } |
---|
[2b957a] | 2101 | |
---|
[371bc5f] | 2102 | nMapFunc nlSetMap(const coeffs src, const coeffs dst) |
---|
| 2103 | { |
---|
[fa31d2] | 2104 | assume( getCoeffType(dst) == ID ); |
---|
[2b957a] | 2105 | // assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2106 | |
---|
[1cce47] | 2107 | if (nCoeff_is_Q(src)) |
---|
[371bc5f] | 2108 | { |
---|
[c14846c] | 2109 | return ndCopyMap; |
---|
[371bc5f] | 2110 | } |
---|
[1cce47] | 2111 | if (nCoeff_is_Zp(src)) |
---|
[371bc5f] | 2112 | { |
---|
| 2113 | return nlMapP; |
---|
| 2114 | } |
---|
[1cce47] | 2115 | if (nCoeff_is_R(src)) |
---|
[371bc5f] | 2116 | { |
---|
| 2117 | return nlMapR; |
---|
| 2118 | } |
---|
[1cce47] | 2119 | if (nCoeff_is_long_R(src)) |
---|
[371bc5f] | 2120 | { |
---|
| 2121 | return nlMapLongR; /* long R -> Q */ |
---|
| 2122 | } |
---|
| 2123 | #ifdef HAVE_RINGS |
---|
[1cce47] | 2124 | if (nCoeff_is_Ring_Z(src) || nCoeff_is_Ring_PtoM(src) || nCoeff_is_Ring_ModN(src)) |
---|
[371bc5f] | 2125 | { |
---|
| 2126 | return nlMapGMP; |
---|
| 2127 | } |
---|
[1cce47] | 2128 | if (nCoeff_is_Ring_2toM(src)) |
---|
[371bc5f] | 2129 | { |
---|
| 2130 | return nlMapMachineInt; |
---|
| 2131 | } |
---|
| 2132 | #endif |
---|
| 2133 | return NULL; |
---|
| 2134 | } |
---|
[35aab3] | 2135 | /*2 |
---|
| 2136 | * z := i |
---|
| 2137 | */ |
---|
[246d15] | 2138 | number nlRInit (long i) |
---|
[35aab3] | 2139 | { |
---|
[896561] | 2140 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2141 | #if defined(LDEBUG) |
---|
| 2142 | z->debug=123456; |
---|
| 2143 | #endif |
---|
[246d15] | 2144 | mpz_init_set_si(z->z,i); |
---|
[35aab3] | 2145 | z->s = 3; |
---|
| 2146 | return z; |
---|
| 2147 | } |
---|
| 2148 | |
---|
| 2149 | /*2 |
---|
| 2150 | * z := i/j |
---|
| 2151 | */ |
---|
[a642c64] | 2152 | number nlInit2 (int i, int j, const coeffs r) |
---|
[35aab3] | 2153 | { |
---|
[896561] | 2154 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2155 | #if defined(LDEBUG) |
---|
| 2156 | z->debug=123456; |
---|
| 2157 | #endif |
---|
[a604c3] | 2158 | mpz_init_set_si(z->z,(long)i); |
---|
| 2159 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 2160 | z->s = 0; |
---|
[a642c64] | 2161 | nlNormalize(z,r); |
---|
[35aab3] | 2162 | return z; |
---|
| 2163 | } |
---|
| 2164 | |
---|
[a642c64] | 2165 | number nlInit2gmp (mpz_t i, mpz_t j, const coeffs r) |
---|
[a1ab2a] | 2166 | { |
---|
[896561] | 2167 | number z=ALLOC_RNUMBER(); |
---|
[a1ab2a] | 2168 | #if defined(LDEBUG) |
---|
| 2169 | z->debug=123456; |
---|
| 2170 | #endif |
---|
[a604c3] | 2171 | mpz_init_set(z->z,i); |
---|
| 2172 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 2173 | z->s = 0; |
---|
[a642c64] | 2174 | nlNormalize(z,r); |
---|
[a1ab2a] | 2175 | return z; |
---|
| 2176 | } |
---|
| 2177 | |
---|
[35aab3] | 2178 | #else // DO_LINLINE |
---|
| 2179 | |
---|
| 2180 | // declare immedate routines |
---|
[2f3764] | 2181 | number nlRInit (long i); |
---|
[35aab3] | 2182 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2183 | number _nlCopy_NoImm(number a); |
---|
| 2184 | number _nlNeg_NoImm(number a); |
---|
| 2185 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
[65c5f5] | 2186 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b); |
---|
[35aab3] | 2187 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2188 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2189 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 2190 | |
---|
| 2191 | #endif |
---|
| 2192 | |
---|
| 2193 | /*************************************************************** |
---|
| 2194 | * |
---|
| 2195 | * Routines which might be inlined by p_Numbers.h |
---|
| 2196 | * |
---|
| 2197 | *******************************************************************/ |
---|
| 2198 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 2199 | |
---|
| 2200 | // routines which are always inlined/static |
---|
| 2201 | |
---|
| 2202 | /*2 |
---|
| 2203 | * a = b ? |
---|
| 2204 | */ |
---|
[2b957a] | 2205 | LINLINE BOOLEAN nlEqual (number a, number b, const coeffs r) |
---|
[35aab3] | 2206 | { |
---|
[2b957a] | 2207 | nlTest(a, r); |
---|
| 2208 | nlTest(b, r); |
---|
[35aab3] | 2209 | // short - short |
---|
| 2210 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 2211 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 2212 | } |
---|
| 2213 | |
---|
[2f3764] | 2214 | LINLINE number nlInit (long i, const coeffs r) |
---|
[35aab3] | 2215 | { |
---|
| 2216 | number n; |
---|
[246d15] | 2217 | LONG ii=(LONG)i; |
---|
| 2218 | if ( ((ii << 3) >> 3) == ii ) n=INT_TO_SR(ii); |
---|
| 2219 | else n=nlRInit(ii); |
---|
[2b957a] | 2220 | nlTest(n, r); |
---|
[35aab3] | 2221 | return n; |
---|
| 2222 | } |
---|
| 2223 | |
---|
| 2224 | /*2 |
---|
| 2225 | * a == 1 ? |
---|
| 2226 | */ |
---|
[2b957a] | 2227 | LINLINE BOOLEAN nlIsOne (number a, const coeffs r) |
---|
[35aab3] | 2228 | { |
---|
| 2229 | #ifdef LDEBUG |
---|
| 2230 | if (a==NULL) return FALSE; |
---|
[2b957a] | 2231 | nlTest(a, r); |
---|
[35aab3] | 2232 | #endif |
---|
[89ca47] | 2233 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 2234 | } |
---|
| 2235 | |
---|
[121fd9] | 2236 | LINLINE BOOLEAN nlIsZero (number a, const coeffs) |
---|
[35aab3] | 2237 | { |
---|
[cc3240c] | 2238 | #if 0 |
---|
| 2239 | if (a==INT_TO_SR(0)) return TRUE; |
---|
| 2240 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) return FALSE; |
---|
| 2241 | if (mpz_cmp_si(a->z,(long)0)==0) |
---|
| 2242 | { |
---|
| 2243 | printf("gmp-0 in nlIsZero\n"); |
---|
| 2244 | dErrorBreak(); |
---|
| 2245 | return TRUE; |
---|
| 2246 | } |
---|
| 2247 | return FALSE; |
---|
| 2248 | #else |
---|
[35aab3] | 2249 | return (a==INT_TO_SR(0)); |
---|
[cc3240c] | 2250 | #endif |
---|
[35aab3] | 2251 | } |
---|
| 2252 | |
---|
| 2253 | /*2 |
---|
| 2254 | * copy a to b |
---|
| 2255 | */ |
---|
[121fd9] | 2256 | LINLINE number nlCopy(number a, const coeffs) |
---|
[35aab3] | 2257 | { |
---|
| 2258 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2259 | { |
---|
| 2260 | return a; |
---|
| 2261 | } |
---|
[e69b7c] | 2262 | return _nlCopy_NoImm(a); |
---|
[35aab3] | 2263 | } |
---|
| 2264 | |
---|
| 2265 | |
---|
| 2266 | /*2 |
---|
| 2267 | * delete a |
---|
| 2268 | */ |
---|
[a642c64] | 2269 | LINLINE void nlDelete (number * a, const coeffs r) |
---|
[35aab3] | 2270 | { |
---|
| 2271 | if (*a!=NULL) |
---|
| 2272 | { |
---|
[2b957a] | 2273 | nlTest(*a, r); |
---|
[35aab3] | 2274 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2275 | { |
---|
[fee4c2] | 2276 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2277 | } |
---|
| 2278 | *a=NULL; |
---|
| 2279 | } |
---|
| 2280 | } |
---|
| 2281 | |
---|
| 2282 | /*2 |
---|
| 2283 | * za:= - za |
---|
| 2284 | */ |
---|
[e69b7c] | 2285 | LINLINE number nlNeg (number a, const coeffs R) |
---|
[35aab3] | 2286 | { |
---|
[e69b7c] | 2287 | nlTest(a, R); |
---|
[35aab3] | 2288 | if(SR_HDL(a) &SR_INT) |
---|
| 2289 | { |
---|
[135e78] | 2290 | LONG r=SR_TO_INT(a); |
---|
[246d15] | 2291 | if (r==(-(POW_2_28))) a=nlRInit(POW_2_28); |
---|
[35aab3] | 2292 | else a=INT_TO_SR(-r); |
---|
| 2293 | return a; |
---|
| 2294 | } |
---|
[630ca9] | 2295 | a = _nlNeg_NoImm(a); |
---|
| 2296 | nlTest(a, R); |
---|
| 2297 | return a; |
---|
| 2298 | |
---|
[35aab3] | 2299 | } |
---|
| 2300 | |
---|
| 2301 | /*2 |
---|
| 2302 | * u:= a + b |
---|
| 2303 | */ |
---|
[e69b7c] | 2304 | LINLINE number nlAdd (number a, number b, const coeffs R) |
---|
[35aab3] | 2305 | { |
---|
| 2306 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2307 | { |
---|
[246d15] | 2308 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[35aab3] | 2309 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2310 | return (number)(long)r; |
---|
[35aab3] | 2311 | else |
---|
| 2312 | return nlRInit(SR_TO_INT(r)); |
---|
| 2313 | } |
---|
[630ca9] | 2314 | number u = _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2315 | nlTest(u, R); |
---|
| 2316 | return u; |
---|
[35aab3] | 2317 | } |
---|
| 2318 | |
---|
[18057e] | 2319 | number nlShort1(number a); |
---|
[246d15] | 2320 | number nlShort3_noinline(number x); |
---|
[e8a0aa] | 2321 | |
---|
[cc3240c] | 2322 | LINLINE void nlInpAdd(number &a, number b, const coeffs r) |
---|
[e8a0aa] | 2323 | { |
---|
[65c5f5] | 2324 | // a=a+b |
---|
[e8a0aa] | 2325 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2326 | { |
---|
[246d15] | 2327 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[e8a0aa] | 2328 | if ( ((r << 1) >> 1) == r ) |
---|
[cc3240c] | 2329 | a=(number)(long)r; |
---|
[e8a0aa] | 2330 | else |
---|
[cc3240c] | 2331 | a=nlRInit(SR_TO_INT(r)); |
---|
[e8a0aa] | 2332 | } |
---|
| 2333 | else |
---|
| 2334 | { |
---|
[65c5f5] | 2335 | _nlInpAdd_aNoImm_OR_bNoImm(a,b); |
---|
| 2336 | nlTest(a,r); |
---|
[e8a0aa] | 2337 | } |
---|
| 2338 | } |
---|
| 2339 | |
---|
[7dc3e1c] | 2340 | LINLINE number nlMult (number a, number b, const coeffs R) |
---|
[35aab3] | 2341 | { |
---|
[2b957a] | 2342 | nlTest(a, R); |
---|
| 2343 | nlTest(b, R); |
---|
[35aab3] | 2344 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2345 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2346 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2347 | { |
---|
[12777c] | 2348 | LONG r=(LONG)((unsigned LONG)(SR_HDL(a)-1L))*((unsigned LONG)(SR_HDL(b)>>1)); |
---|
[246d15] | 2349 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1L)) |
---|
[35aab3] | 2350 | { |
---|
| 2351 | number u=((number) ((r>>1)+SR_INT)); |
---|
[246d15] | 2352 | if (((((LONG)SR_HDL(u))<<1)>>1)==SR_HDL(u)) return (u); |
---|
[35aab3] | 2353 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2354 | } |
---|
[630ca9] | 2355 | number u = _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2356 | nlTest(u, R); |
---|
| 2357 | return u; |
---|
[9bb5457] | 2358 | |
---|
[35aab3] | 2359 | } |
---|
[630ca9] | 2360 | number u = _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2361 | nlTest(u, R); |
---|
| 2362 | return u; |
---|
[9bb5457] | 2363 | |
---|
[35aab3] | 2364 | } |
---|
| 2365 | |
---|
| 2366 | |
---|
| 2367 | /*2 |
---|
| 2368 | * u:= a - b |
---|
| 2369 | */ |
---|
[a642c64] | 2370 | LINLINE number nlSub (number a, number b, const coeffs r) |
---|
[35aab3] | 2371 | { |
---|
| 2372 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2373 | { |
---|
[246d15] | 2374 | LONG r=SR_HDL(a)-SR_HDL(b)+1; |
---|
[35aab3] | 2375 | if ( ((r << 1) >> 1) == r ) |
---|
| 2376 | { |
---|
[246d15] | 2377 | return (number)(long)r; |
---|
[35aab3] | 2378 | } |
---|
| 2379 | else |
---|
| 2380 | return nlRInit(SR_TO_INT(r)); |
---|
| 2381 | } |
---|
[630ca9] | 2382 | number u = _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2383 | nlTest(u, r); |
---|
| 2384 | return u; |
---|
[9bb5457] | 2385 | |
---|
[35aab3] | 2386 | } |
---|
| 2387 | |
---|
[a642c64] | 2388 | LINLINE void nlInpMult(number &a, number b, const coeffs r) |
---|
[4e35a89] | 2389 | { |
---|
[896561] | 2390 | number aa=a; |
---|
| 2391 | if (((SR_HDL(b)|SR_HDL(aa))&SR_INT)) |
---|
[4e35a89] | 2392 | { |
---|
[a642c64] | 2393 | number n=nlMult(aa,b,r); |
---|
[4e35a89] | 2394 | nlDelete(&a,r); |
---|
| 2395 | a=n; |
---|
| 2396 | } |
---|
| 2397 | else |
---|
| 2398 | { |
---|
[896561] | 2399 | mpz_mul(aa->z,a->z,b->z); |
---|
| 2400 | if (aa->s==3) |
---|
[4e35a89] | 2401 | { |
---|
| 2402 | if(b->s!=3) |
---|
| 2403 | { |
---|
| 2404 | mpz_init_set(a->n,b->n); |
---|
| 2405 | a->s=0; |
---|
| 2406 | } |
---|
| 2407 | } |
---|
| 2408 | else |
---|
| 2409 | { |
---|
| 2410 | if(b->s!=3) |
---|
| 2411 | { |
---|
| 2412 | mpz_mul(a->n,a->n,b->n); |
---|
| 2413 | } |
---|
| 2414 | a->s=0; |
---|
| 2415 | } |
---|
| 2416 | } |
---|
| 2417 | } |
---|
[35aab3] | 2418 | #endif // DO_LINLINE |
---|
| 2419 | |
---|
| 2420 | #ifndef P_NUMBERS_H |
---|
| 2421 | |
---|
[d663f2] | 2422 | static void nlMPZ(mpz_t m, number &n, const coeffs r) |
---|
| 2423 | { |
---|
| 2424 | assume( getCoeffType(r) == ID ); |
---|
[e11ed0] | 2425 | |
---|
[d663f2] | 2426 | nlTest(n, r); |
---|
| 2427 | nlNormalize(n, r); |
---|
| 2428 | if (SR_HDL(n) & SR_INT) mpz_init_set_si(m, SR_TO_INT(n)); /* n fits in an int */ |
---|
| 2429 | else mpz_init_set(m, (mpz_ptr)n->z); |
---|
| 2430 | } |
---|
| 2431 | |
---|
| 2432 | |
---|
[2d2e40] | 2433 | static number nlInitMPZ(mpz_t m, const coeffs) |
---|
[d663f2] | 2434 | { |
---|
| 2435 | number z = ALLOC_RNUMBER(); |
---|
| 2436 | mpz_init_set(z->z, m); |
---|
| 2437 | mpz_init_set_ui(z->n, 1); |
---|
| 2438 | z->s = 3; |
---|
[e11ed0] | 2439 | return z; |
---|
[d663f2] | 2440 | } |
---|
| 2441 | |
---|
| 2442 | |
---|
[a642c64] | 2443 | void nlInpGcd(number &a, number b, const coeffs r) |
---|
[35aab3] | 2444 | { |
---|
| 2445 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2446 | { |
---|
| 2447 | number n=nlGcd(a,b,r); |
---|
| 2448 | nlDelete(&a,r); |
---|
| 2449 | a=n; |
---|
| 2450 | } |
---|
| 2451 | else |
---|
| 2452 | { |
---|
[a604c3] | 2453 | mpz_gcd(a->z,a->z,b->z); |
---|
[246d15] | 2454 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2455 | } |
---|
| 2456 | } |
---|
[f59722] | 2457 | |
---|
[a642c64] | 2458 | void nlInpIntDiv(number &a, number b, const coeffs r) |
---|
[35aab3] | 2459 | { |
---|
| 2460 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2461 | { |
---|
[2b957a] | 2462 | number n=nlIntDiv(a,b, r); |
---|
[35aab3] | 2463 | nlDelete(&a,r); |
---|
| 2464 | a=n; |
---|
| 2465 | } |
---|
| 2466 | else |
---|
| 2467 | { |
---|
[a604c3] | 2468 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2469 | { |
---|
[a604c3] | 2470 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2471 | { |
---|
[a604c3] | 2472 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2473 | } |
---|
| 2474 | else |
---|
| 2475 | { |
---|
[a604c3] | 2476 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2477 | } |
---|
[a604c3] | 2478 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2479 | } |
---|
| 2480 | else |
---|
| 2481 | { |
---|
[a604c3] | 2482 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2483 | { |
---|
[a604c3] | 2484 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2485 | } |
---|
| 2486 | else |
---|
| 2487 | { |
---|
[a604c3] | 2488 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2489 | } |
---|
[a604c3] | 2490 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2491 | } |
---|
[a604c3] | 2492 | MPZ_DIV(a->z,a->z,b->z); |
---|
[246d15] | 2493 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2494 | } |
---|
| 2495 | } |
---|
| 2496 | |
---|
[a642c64] | 2497 | number nlFarey(number nN, number nP, const coeffs r) |
---|
[3149a5] | 2498 | { |
---|
[a604c3] | 2499 | mpz_t tmp; mpz_init(tmp); |
---|
| 2500 | mpz_t A,B,C,D,E,N,P; |
---|
| 2501 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2502 | else mpz_init_set(N,nN->z); |
---|
| 2503 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2504 | else mpz_init_set(P,nP->z); |
---|
| 2505 | assume(!mpz_isNeg(P)); |
---|
| 2506 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2507 | mpz_init_set_si(A,(long)0); |
---|
| 2508 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2509 | mpz_init_set_si(C,(long)0); |
---|
| 2510 | mpz_init(D); |
---|
| 2511 | mpz_init_set(E,P); |
---|
[3149a5] | 2512 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2513 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2514 | { |
---|
[a604c3] | 2515 | mpz_mul(tmp,N,N); |
---|
| 2516 | mpz_add(tmp,tmp,tmp); |
---|
| 2517 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2518 | { |
---|
[a604c3] | 2519 | if (mpz_isNeg(B)) |
---|
[26300d] | 2520 | { |
---|
[a604c3] | 2521 | mpz_neg(B,B); |
---|
| 2522 | mpz_neg(N,N); |
---|
[26300d] | 2523 | } |
---|
[9f4478] | 2524 | // check for gcd(N,B)==1 |
---|
| 2525 | mpz_gcd(tmp,N,B); |
---|
| 2526 | if (mpz_cmp_ui(tmp,1)==0) |
---|
| 2527 | { |
---|
| 2528 | // return N/B |
---|
| 2529 | z=ALLOC_RNUMBER(); |
---|
| 2530 | #ifdef LDEBUG |
---|
| 2531 | z->debug=123456; |
---|
| 2532 | #endif |
---|
| 2533 | mpz_init_set(z->z,N); |
---|
| 2534 | mpz_init_set(z->n,B); |
---|
| 2535 | z->s = 0; |
---|
| 2536 | nlNormalize(z,r); |
---|
| 2537 | } |
---|
| 2538 | else |
---|
| 2539 | { |
---|
| 2540 | // return nN (the input) instead of "fail" |
---|
| 2541 | z=nlCopy(nN,r); |
---|
| 2542 | } |
---|
[3149a5] | 2543 | break; |
---|
| 2544 | } |
---|
[7453b4] | 2545 | //mpz_mod(D,E,N); |
---|
| 2546 | //mpz_div(tmp,E,N); |
---|
| 2547 | mpz_divmod(tmp,D,E,N); |
---|
[a604c3] | 2548 | mpz_mul(tmp,tmp,B); |
---|
| 2549 | mpz_sub(C,A,tmp); |
---|
| 2550 | mpz_set(E,N); |
---|
| 2551 | mpz_set(N,D); |
---|
| 2552 | mpz_set(A,B); |
---|
| 2553 | mpz_set(B,C); |
---|
| 2554 | } |
---|
| 2555 | mpz_clear(tmp); |
---|
| 2556 | mpz_clear(A); |
---|
| 2557 | mpz_clear(B); |
---|
| 2558 | mpz_clear(C); |
---|
| 2559 | mpz_clear(D); |
---|
| 2560 | mpz_clear(E); |
---|
| 2561 | mpz_clear(N); |
---|
| 2562 | mpz_clear(P); |
---|
[3149a5] | 2563 | return z; |
---|
| 2564 | } |
---|
[bbf7a8] | 2565 | |
---|
[3216ec] | 2566 | number nlExtGcd(number a, number b, number *s, number *t, const coeffs) |
---|
| 2567 | { |
---|
| 2568 | mpz_t aa,bb; |
---|
| 2569 | *s=ALLOC_RNUMBER(); |
---|
| 2570 | mpz_init((*s)->z); (*s)->s=3; |
---|
| 2571 | (*t)=ALLOC_RNUMBER(); |
---|
| 2572 | mpz_init((*t)->z); (*t)->s=3; |
---|
| 2573 | number g=ALLOC_RNUMBER(); |
---|
| 2574 | mpz_init(g->z); g->s=3; |
---|
| 2575 | if (SR_HDL(a) & SR_INT) |
---|
| 2576 | { |
---|
| 2577 | mpz_init_set_si(aa,SR_TO_INT(a)); |
---|
| 2578 | } |
---|
| 2579 | else |
---|
| 2580 | { |
---|
| 2581 | mpz_init_set(aa,a->z); |
---|
| 2582 | } |
---|
| 2583 | if (SR_HDL(b) & SR_INT) |
---|
| 2584 | { |
---|
| 2585 | mpz_init_set_si(bb,SR_TO_INT(b)); |
---|
| 2586 | } |
---|
| 2587 | else |
---|
| 2588 | { |
---|
| 2589 | mpz_init_set(bb,b->z); |
---|
| 2590 | } |
---|
| 2591 | mpz_gcdext(g->z,(*s)->z,(*t)->z,aa,bb); |
---|
| 2592 | mpz_clear(aa); |
---|
| 2593 | mpz_clear(bb); |
---|
| 2594 | (*s)=nlShort3((*s)); |
---|
| 2595 | (*t)=nlShort3((*t)); |
---|
| 2596 | g=nlShort3(g); |
---|
| 2597 | return g; |
---|
| 2598 | } |
---|
| 2599 | |
---|
[03f7b5] | 2600 | void nlCoeffWrite (const coeffs, BOOLEAN /*details*/) |
---|
[8167af] | 2601 | { |
---|
| 2602 | PrintS("// characteristic : 0\n"); |
---|
| 2603 | } |
---|
| 2604 | |
---|
[de27d8] | 2605 | number nlChineseRemainderSym(number *x, number *q,int rl, BOOLEAN sym, const coeffs CF) |
---|
[e8c8d5] | 2606 | // elemenst in the array are x[0..(rl-1)], q[0..(rl-1)] |
---|
| 2607 | { |
---|
| 2608 | setCharacteristic( 0 ); // only in char 0 |
---|
[de27d8] | 2609 | Off(SW_RATIONAL); |
---|
[e8c8d5] | 2610 | CFArray X(rl), Q(rl); |
---|
| 2611 | int i; |
---|
| 2612 | for(i=rl-1;i>=0;i--) |
---|
| 2613 | { |
---|
[de27d8] | 2614 | X[i]=CF->convSingNFactoryN(x[i],FALSE,CF); // may be larger MAX_INT |
---|
| 2615 | Q[i]=CF->convSingNFactoryN(q[i],FALSE,CF); // may be larger MAX_INT |
---|
[e8c8d5] | 2616 | } |
---|
| 2617 | CanonicalForm xnew,qnew; |
---|
| 2618 | chineseRemainder(X,Q,xnew,qnew); |
---|
[de27d8] | 2619 | number n=CF->convFactoryNSingN(xnew,CF); |
---|
| 2620 | if (sym) |
---|
[e8c8d5] | 2621 | { |
---|
[de27d8] | 2622 | number p=CF->convFactoryNSingN(qnew,CF); |
---|
| 2623 | number p2=nlIntDiv(p,nlInit(2, CF),CF); |
---|
| 2624 | if (nlGreater(n,p2,CF)) |
---|
| 2625 | { |
---|
| 2626 | number n2=nlSub(n,p,CF); |
---|
| 2627 | nlDelete(&n,CF); |
---|
| 2628 | n=n2; |
---|
| 2629 | } |
---|
| 2630 | nlDelete(&p2,CF); |
---|
| 2631 | nlDelete(&p,CF); |
---|
[e8c8d5] | 2632 | } |
---|
| 2633 | return n; |
---|
| 2634 | } |
---|
[de27d8] | 2635 | number nlChineseRemainder(number *x, number *q,int rl, const coeffs C) |
---|
| 2636 | { |
---|
| 2637 | return nlChineseRemainderSym(x,q,rl,TRUE,C); |
---|
| 2638 | } |
---|
[e8c8d5] | 2639 | |
---|
[558f3cc] | 2640 | static void nlClearContent(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2641 | { |
---|
| 2642 | assume(cf != NULL); |
---|
| 2643 | assume(getCoeffType(cf) == ID); |
---|
[9952bd] | 2644 | |
---|
| 2645 | numberCollectionEnumerator.Reset(); |
---|
| 2646 | |
---|
| 2647 | if( !numberCollectionEnumerator.MoveNext() ) // empty zero polynomial? |
---|
| 2648 | { |
---|
| 2649 | c = n_Init(1, cf); |
---|
| 2650 | return; |
---|
| 2651 | } |
---|
| 2652 | |
---|
[de88371] | 2653 | // all coeffs are given by integers!!! |
---|
| 2654 | |
---|
[4f9652] | 2655 | // part 1, find a small candidate for gcd |
---|
| 2656 | number cand1,cand; |
---|
| 2657 | int s1,s; |
---|
| 2658 | s=2147483647; // max. int |
---|
[9952bd] | 2659 | |
---|
[dc79bd] | 2660 | const BOOLEAN lc_is_pos=nlGreaterZero(numberCollectionEnumerator.Current(),cf); |
---|
[9952bd] | 2661 | |
---|
| 2662 | int normalcount = 0; |
---|
[4f9652] | 2663 | do |
---|
| 2664 | { |
---|
[9952bd] | 2665 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2666 | nlNormalize(n, cf); ++normalcount; |
---|
| 2667 | cand1 = n; |
---|
| 2668 | |
---|
| 2669 | if (SR_HDL(cand1)&SR_INT) { cand=cand1; break; } |
---|
| 2670 | assume(cand1->s==3); // all coeffs should be integers // ==0?!! after printing |
---|
[4f9652] | 2671 | s1=mpz_size1(cand1->z); |
---|
| 2672 | if (s>s1) |
---|
| 2673 | { |
---|
| 2674 | cand=cand1; |
---|
| 2675 | s=s1; |
---|
| 2676 | } |
---|
[e11ed0] | 2677 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2678 | |
---|
[9952bd] | 2679 | // assume( nlGreaterZero(cand,cf) ); // cand may be a negative integer! |
---|
| 2680 | |
---|
[d1d27f1] | 2681 | cand=nlCopy(cand,cf); |
---|
[4f9652] | 2682 | // part 2: compute gcd(cand,all coeffs) |
---|
[9952bd] | 2683 | |
---|
[4f9652] | 2684 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2685 | |
---|
| 2686 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[4f9652] | 2687 | { |
---|
[9952bd] | 2688 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2689 | |
---|
| 2690 | if( (--normalcount) <= 0) |
---|
| 2691 | nlNormalize(n, cf); |
---|
| 2692 | |
---|
| 2693 | nlInpGcd(cand, n, cf); |
---|
| 2694 | |
---|
| 2695 | assume( nlGreaterZero(cand,cf) ); |
---|
| 2696 | |
---|
[39d731] | 2697 | if(nlIsOne(cand,cf)) |
---|
| 2698 | { |
---|
[9952bd] | 2699 | c = cand; |
---|
| 2700 | |
---|
[39d731] | 2701 | if(!lc_is_pos) |
---|
| 2702 | { |
---|
| 2703 | // make the leading coeff positive |
---|
[9952bd] | 2704 | c = nlNeg(c, cf); |
---|
[39d731] | 2705 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2706 | |
---|
| 2707 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[39d731] | 2708 | { |
---|
[9952bd] | 2709 | number& nn = numberCollectionEnumerator.Current(); |
---|
| 2710 | nn = nlNeg(nn, cf); |
---|
| 2711 | } |
---|
[39d731] | 2712 | } |
---|
| 2713 | return; |
---|
| 2714 | } |
---|
[9952bd] | 2715 | } |
---|
[e11ed0] | 2716 | |
---|
[4f9652] | 2717 | // part3: all coeffs = all coeffs / cand |
---|
[9952bd] | 2718 | if (!lc_is_pos) |
---|
| 2719 | cand = nlNeg(cand,cf); |
---|
| 2720 | |
---|
| 2721 | c = cand; |
---|
[4f9652] | 2722 | numberCollectionEnumerator.Reset(); |
---|
[e11ed0] | 2723 | |
---|
[9952bd] | 2724 | while (numberCollectionEnumerator.MoveNext() ) |
---|
| 2725 | { |
---|
| 2726 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2727 | number t=nlIntDiv(n, cand, cf); // simple integer exact division, no ratios to remain |
---|
| 2728 | nlDelete(&n, cf); |
---|
| 2729 | n = t; |
---|
| 2730 | } |
---|
[de88371] | 2731 | } |
---|
| 2732 | |
---|
[558f3cc] | 2733 | static void nlClearDenominators(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2734 | { |
---|
| 2735 | assume(cf != NULL); |
---|
| 2736 | assume(getCoeffType(cf) == ID); |
---|
[9952bd] | 2737 | |
---|
| 2738 | numberCollectionEnumerator.Reset(); |
---|
| 2739 | |
---|
| 2740 | if( !numberCollectionEnumerator.MoveNext() ) // empty zero polynomial? |
---|
| 2741 | { |
---|
| 2742 | c = n_Init(1, cf); |
---|
[dc79bd] | 2743 | // assume( n_GreaterZero(c, cf) ); |
---|
[9952bd] | 2744 | return; |
---|
| 2745 | } |
---|
| 2746 | |
---|
[d1d27f1] | 2747 | // all coeffs are given by integers after returning from this routine |
---|
| 2748 | |
---|
| 2749 | // part 1, collect product of all denominators /gcds |
---|
[e11ed0] | 2750 | number cand; |
---|
[d1d27f1] | 2751 | cand=ALLOC_RNUMBER(); |
---|
[9952bd] | 2752 | #if defined(LDEBUG) |
---|
[d1d27f1] | 2753 | cand->debug=123456; |
---|
[9952bd] | 2754 | #endif |
---|
[d1d27f1] | 2755 | cand->s=3; |
---|
| 2756 | |
---|
| 2757 | int s=0; |
---|
[9952bd] | 2758 | |
---|
[dc79bd] | 2759 | const BOOLEAN lc_is_pos=nlGreaterZero(numberCollectionEnumerator.Current(),cf); |
---|
[9952bd] | 2760 | |
---|
[d1d27f1] | 2761 | do |
---|
| 2762 | { |
---|
[560a3d] | 2763 | number& cand1 = numberCollectionEnumerator.Current(); |
---|
[e11ed0] | 2764 | |
---|
[d1d27f1] | 2765 | if (!(SR_HDL(cand1)&SR_INT)) |
---|
| 2766 | { |
---|
[e11ed0] | 2767 | nlNormalize(cand1, cf); |
---|
[d1d27f1] | 2768 | if ((!(SR_HDL(cand1)&SR_INT)) // not a short int |
---|
[9952bd] | 2769 | && (cand1->s==1)) // and is a normalised rational |
---|
[d1d27f1] | 2770 | { |
---|
| 2771 | if (s==0) // first denom, we meet |
---|
| 2772 | { |
---|
[9952bd] | 2773 | mpz_init_set(cand->z, cand1->n); // cand->z = cand1->n |
---|
[e11ed0] | 2774 | s=1; |
---|
[d1d27f1] | 2775 | } |
---|
| 2776 | else // we have already something |
---|
| 2777 | { |
---|
[9952bd] | 2778 | mpz_lcm(cand->z, cand->z, cand1->n); |
---|
[d1d27f1] | 2779 | } |
---|
| 2780 | } |
---|
| 2781 | } |
---|
[9952bd] | 2782 | } |
---|
| 2783 | while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2784 | |
---|
[de88371] | 2785 | |
---|
[d1d27f1] | 2786 | if (s==0) // nothing to do, all coeffs are already integers |
---|
| 2787 | { |
---|
[9952bd] | 2788 | // mpz_clear(tmp); |
---|
[e11ed0] | 2789 | FREE_RNUMBER(cand); |
---|
[39d731] | 2790 | if (lc_is_pos) |
---|
| 2791 | c=nlInit(1,cf); |
---|
| 2792 | else |
---|
| 2793 | { |
---|
| 2794 | // make the leading coeff positive |
---|
| 2795 | c=nlInit(-1,cf); |
---|
[9952bd] | 2796 | |
---|
| 2797 | // TODO: incorporate the following into the loop below? |
---|
[39d731] | 2798 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2799 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[39d731] | 2800 | { |
---|
[9952bd] | 2801 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2802 | n = nlNeg(n, cf); |
---|
| 2803 | } |
---|
[39d731] | 2804 | } |
---|
[dc79bd] | 2805 | // assume( n_GreaterZero(c, cf) ); |
---|
[d1d27f1] | 2806 | return; |
---|
| 2807 | } |
---|
[9952bd] | 2808 | |
---|
| 2809 | cand = nlShort3(cand); |
---|
[e11ed0] | 2810 | |
---|
[d1d27f1] | 2811 | // part2: all coeffs = all coeffs * cand |
---|
[e11ed0] | 2812 | // make the lead coeff positive |
---|
[d1d27f1] | 2813 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2814 | |
---|
| 2815 | if (!lc_is_pos) |
---|
| 2816 | cand = nlNeg(cand, cf); |
---|
| 2817 | |
---|
[e11ed0] | 2818 | c = cand; |
---|
[9952bd] | 2819 | |
---|
| 2820 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[d1d27f1] | 2821 | { |
---|
[560a3d] | 2822 | number &n = numberCollectionEnumerator.Current(); |
---|
| 2823 | n_InpMult(n, cand, cf); |
---|
[9952bd] | 2824 | } |
---|
[e11ed0] | 2825 | |
---|
[de88371] | 2826 | } |
---|
| 2827 | |
---|
[45cc512] | 2828 | static char* nlCoeffString(const coeffs r) |
---|
| 2829 | { |
---|
| 2830 | return omStrDup("0"); |
---|
| 2831 | } |
---|
| 2832 | |
---|
[9bb5457] | 2833 | BOOLEAN nlInitChar(coeffs r, void*) |
---|
[e3c02d2] | 2834 | { |
---|
[73a9ffb] | 2835 | assume( getCoeffType(r) == ID ); |
---|
| 2836 | //const int ch = (int)(long)(p); |
---|
[9bb5457] | 2837 | |
---|
[121fd9] | 2838 | r->nCoeffIsEqual=ndCoeffIsEqual; |
---|
[577888] | 2839 | r->cfKillChar = ndKillChar; /* dummy */ |
---|
[45cc512] | 2840 | r->cfCoeffString=nlCoeffString; |
---|
[e3c02d2] | 2841 | |
---|
[d663f2] | 2842 | r->cfInitMPZ = nlInitMPZ; |
---|
| 2843 | r->cfMPZ = nlMPZ; |
---|
[e11ed0] | 2844 | |
---|
[7bbbef] | 2845 | r->cfMult = nlMult; |
---|
| 2846 | r->cfSub = nlSub; |
---|
| 2847 | r->cfAdd = nlAdd; |
---|
| 2848 | r->cfDiv = nlDiv; |
---|
| 2849 | r->cfIntDiv= nlIntDiv; |
---|
| 2850 | r->cfIntMod= nlIntMod; |
---|
| 2851 | r->cfExactDiv= nlExactDiv; |
---|
[bbf7a8] | 2852 | r->cfInit = nlInit; |
---|
[7bbbef] | 2853 | r->cfSize = nlSize; |
---|
| 2854 | r->cfInt = nlInt; |
---|
[e11ed0] | 2855 | |
---|
[de27d8] | 2856 | r->cfChineseRemainder=nlChineseRemainderSym; |
---|
[e8c8d5] | 2857 | r->cfFarey=nlFarey; |
---|
[bbf7a8] | 2858 | #ifdef HAVE_RINGS |
---|
[7bbbef] | 2859 | //r->cfDivComp = NULL; // only for ring stuff |
---|
| 2860 | //r->cfIsUnit = NULL; // only for ring stuff |
---|
| 2861 | //r->cfGetUnit = NULL; // only for ring stuff |
---|
| 2862 | //r->cfDivBy = NULL; // only for ring stuff |
---|
[bbf7a8] | 2863 | #endif |
---|
[7bbbef] | 2864 | r->cfNeg = nlNeg; |
---|
| 2865 | r->cfInvers= nlInvers; |
---|
[2b957a] | 2866 | r->cfCopy = nlCopy; |
---|
| 2867 | r->cfRePart = nlCopy; |
---|
[7bbbef] | 2868 | //r->cfImPart = ndReturn0; |
---|
[ce1f78] | 2869 | r->cfWriteLong = nlWrite; |
---|
[7bbbef] | 2870 | r->cfRead = nlRead; |
---|
| 2871 | r->cfNormalize=nlNormalize; |
---|
| 2872 | r->cfGreater = nlGreater; |
---|
| 2873 | r->cfEqual = nlEqual; |
---|
| 2874 | r->cfIsZero = nlIsZero; |
---|
| 2875 | r->cfIsOne = nlIsOne; |
---|
| 2876 | r->cfIsMOne = nlIsMOne; |
---|
| 2877 | r->cfGreaterZero = nlGreaterZero; |
---|
| 2878 | r->cfPower = nlPower; |
---|
[bbf7a8] | 2879 | r->cfGetDenom = nlGetDenom; |
---|
| 2880 | r->cfGetNumerator = nlGetNumerator; |
---|
[7bbbef] | 2881 | r->cfGcd = nlGcd; |
---|
[3216ec] | 2882 | r->cfExtGcd = nlExtGcd; // only for ring stuff and Z |
---|
[7bbbef] | 2883 | r->cfLcm = nlLcm; |
---|
[bbf7a8] | 2884 | r->cfDelete= nlDelete; |
---|
[e3c02d2] | 2885 | r->cfSetMap = nlSetMap; |
---|
[7bbbef] | 2886 | //r->cfName = ndName; |
---|
| 2887 | r->cfInpMult=nlInpMult; |
---|
[240295] | 2888 | r->cfInpAdd=nlInpAdd; |
---|
[7bbbef] | 2889 | r->cfInit_bigint=nlCopyMap; |
---|
[8167af] | 2890 | r->cfCoeffWrite=nlCoeffWrite; |
---|
[de88371] | 2891 | |
---|
| 2892 | r->cfClearContent = nlClearContent; |
---|
| 2893 | r->cfClearDenominators = nlClearDenominators; |
---|
[e11ed0] | 2894 | |
---|
[e3c02d2] | 2895 | #ifdef LDEBUG |
---|
[bbf7a8] | 2896 | // debug stuff |
---|
[7bbbef] | 2897 | r->cfDBTest=nlDBTest; |
---|
[e3c02d2] | 2898 | #endif |
---|
[e5d267] | 2899 | r->convSingNFactoryN=nlConvSingNFactoryN; |
---|
| 2900 | r->convFactoryNSingN=nlConvFactoryNSingN; |
---|
[039016] | 2901 | |
---|
[8835e2b] | 2902 | // the variables: general stuff (required) |
---|
[bbf7a8] | 2903 | r->nNULL = INT_TO_SR(0); |
---|
[aff5ae] | 2904 | //r->type = n_Q; |
---|
[bbf7a8] | 2905 | r->ch = 0; |
---|
| 2906 | r->has_simple_Alloc=FALSE; |
---|
| 2907 | r->has_simple_Inverse=FALSE; |
---|
[9bb5457] | 2908 | |
---|
[8835e2b] | 2909 | // variables for this type of coeffs: |
---|
| 2910 | // (none) |
---|
[5d594a9] | 2911 | return FALSE; |
---|
[e3c02d2] | 2912 | } |
---|
[35aab3] | 2913 | #if 0 |
---|
| 2914 | number nlMod(number a, number b) |
---|
| 2915 | { |
---|
| 2916 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2917 | { |
---|
| 2918 | int bi=SR_TO_INT(b); |
---|
| 2919 | int ai=SR_TO_INT(a); |
---|
| 2920 | int bb=ABS(bi); |
---|
| 2921 | int c=ai%bb; |
---|
| 2922 | if (c<0) c+=bb; |
---|
| 2923 | return (INT_TO_SR(c)); |
---|
| 2924 | } |
---|
| 2925 | number al; |
---|
| 2926 | number bl; |
---|
| 2927 | if (SR_HDL(a))&SR_INT) |
---|
| 2928 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2929 | else |
---|
| 2930 | al=nlCopy(a); |
---|
| 2931 | if (SR_HDL(b))&SR_INT) |
---|
| 2932 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2933 | else |
---|
| 2934 | bl=nlCopy(b); |
---|
| 2935 | number r=nlRInit(0); |
---|
| 2936 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2937 | nlDelete(&al); |
---|
| 2938 | nlDelete(&bl); |
---|
| 2939 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2940 | { |
---|
[246d15] | 2941 | LONG ui=(int)mpz_get_si(&r->z); |
---|
[35aab3] | 2942 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2943 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2944 | { |
---|
| 2945 | mpz_clear(&r->z); |
---|
[d663f2] | 2946 | FREE_RNUMBER(r); // omFreeBin((void *)r, rnumber_bin); |
---|
[35aab3] | 2947 | r=INT_TO_SR(ui); |
---|
| 2948 | } |
---|
| 2949 | } |
---|
| 2950 | return r; |
---|
| 2951 | } |
---|
| 2952 | #endif |
---|
| 2953 | #endif // not P_NUMBERS_H |
---|
| 2954 | #endif // LONGRAT_CC |
---|