[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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[22a09d] | 8 | #include "config.h" |
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| 9 | #include <misc/auxiliary.h> |
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| 10 | |
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| 11 | #ifdef HAVE_FACTORY |
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| 12 | #include <factory/factory.h> |
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| 13 | #endif |
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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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[a934fc8] | 260 | #ifdef HAVE_FACTORY |
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[9bb5457] | 261 | CanonicalForm nlConvSingNFactoryN( number n, BOOLEAN setChar, const coeffs /*r*/ ) |
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[a934fc8] | 262 | { |
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[abb4787] | 263 | if (setChar) setCharacteristic( 0 ); |
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| 264 | |
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[a934fc8] | 265 | CanonicalForm term; |
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| 266 | if ( SR_HDL(n) & SR_INT ) |
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| 267 | { |
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| 268 | term = SR_TO_INT(n); |
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| 269 | } |
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| 270 | else |
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| 271 | { |
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| 272 | if ( n->s == 3 ) |
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| 273 | { |
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[8b46459] | 274 | mpz_t dummy; |
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[8710ff0] | 275 | long lz=mpz_get_si(n->z); |
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| 276 | if (mpz_cmp_si(n->z,lz)==0) term=lz; |
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| 277 | else |
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| 278 | { |
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| 279 | mpz_init_set( dummy,n->z ); |
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| 280 | term = make_cf( dummy ); |
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| 281 | } |
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[a934fc8] | 282 | } |
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| 283 | else |
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| 284 | { |
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| 285 | // assume s==0 or s==1 |
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[8b46459] | 286 | mpz_t num, den; |
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[a934fc8] | 287 | On(SW_RATIONAL); |
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[8b46459] | 288 | mpz_init_set( num, n->z ); |
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| 289 | mpz_init_set( den, n->n ); |
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[a934fc8] | 290 | term = make_cf( num, den, ( n->s != 1 )); |
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| 291 | } |
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| 292 | } |
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| 293 | return term; |
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| 294 | } |
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| 295 | |
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| 296 | number nlConvFactoryNSingN( const CanonicalForm n, const coeffs r) |
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| 297 | { |
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| 298 | if (n.isImm()) |
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| 299 | { |
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[8710ff0] | 300 | long lz=n.intval(); |
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| 301 | int iz=(int)lz; |
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| 302 | if ((long)iz==lz) |
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| 303 | { |
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| 304 | return nlInit(n.intval(),r); |
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| 305 | } |
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| 306 | else return nlRInit(lz); |
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[a934fc8] | 307 | return nlInit(n.intval(),r); |
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| 308 | } |
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| 309 | else |
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| 310 | { |
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[d663f2] | 311 | number z = ALLOC_RNUMBER(); //Q!? // (number)omAllocBin(rnumber_bin); |
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[a934fc8] | 312 | #if defined(LDEBUG) |
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| 313 | z->debug=123456; |
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| 314 | #endif |
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| 315 | gmp_numerator( n, z->z ); |
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| 316 | if ( n.den().isOne() ) |
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| 317 | z->s = 3; |
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| 318 | else |
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| 319 | { |
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| 320 | gmp_denominator( n, z->n ); |
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| 321 | z->s = 0; |
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| 322 | } |
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| 323 | nlNormalize(z,r); |
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| 324 | return z; |
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| 325 | } |
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| 326 | } |
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| 327 | #endif |
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[246d15] | 328 | number nlRInit (long i); |
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[35aab3] | 329 | |
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[371bc5f] | 330 | static number nlMapR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 331 | { |
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[fa31d2] | 332 | assume( getCoeffType(dst) == ID ); |
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| 333 | assume( getCoeffType(src) == n_R ); |
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[9bb5457] | 334 | |
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[35aab3] | 335 | double f=nrFloat(from); |
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[eb059c5] | 336 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 337 | int f_sign=1; |
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| 338 | if (f<0.0) |
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| 339 | { |
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| 340 | f_sign=-1; |
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| 341 | f=-f; |
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| 342 | } |
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| 343 | int i=0; |
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| 344 | mpz_t h1; |
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| 345 | mpz_init_set_ui(h1,1); |
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| 346 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 347 | { |
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| 348 | f*=FLT_RADIX; |
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| 349 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 350 | i++; |
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| 351 | } |
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[a642c64] | 352 | number re=nlRInit(1); |
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[bbf7a8] | 353 | mpz_set_d(re->z,f); |
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[a642c64] | 354 | memcpy(&(re->n),&h1,sizeof(h1)); |
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| 355 | re->s=0; /* not normalized */ |
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[371bc5f] | 356 | if(f_sign==-1) re=nlNeg(re,dst); |
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| 357 | nlNormalize(re,dst); |
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[a642c64] | 358 | return re; |
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[35aab3] | 359 | } |
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| 360 | |
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[9bb5457] | 361 | static number nlMapLongR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 362 | { |
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[fa31d2] | 363 | assume( getCoeffType(dst) == ID ); |
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| 364 | assume( getCoeffType(src) == n_long_R ); |
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[9bb5457] | 365 | |
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[35aab3] | 366 | gmp_float *ff=(gmp_float*)from; |
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| 367 | mpf_t *f=ff->_mpfp(); |
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| 368 | number res; |
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[a604c3] | 369 | mpz_ptr dest,ndest; |
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[35aab3] | 370 | int size, i,negative; |
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| 371 | int e,al,bl; |
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| 372 | mp_ptr qp,dd,nn; |
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| 373 | |
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| 374 | size = (*f)[0]._mp_size; |
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| 375 | if (size == 0) |
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[eb059c5] | 376 | return INT_TO_SR(0); |
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[35aab3] | 377 | if(size<0) |
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| 378 | { |
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| 379 | negative = 1; |
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| 380 | size = -size; |
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| 381 | } |
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| 382 | else |
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| 383 | negative = 0; |
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| 384 | |
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| 385 | qp = (*f)[0]._mp_d; |
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| 386 | while(qp[0]==0) |
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| 387 | { |
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| 388 | qp++; |
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| 389 | size--; |
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| 390 | } |
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| 391 | |
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| 392 | e=(*f)[0]._mp_exp-size; |
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[896561] | 393 | res = ALLOC_RNUMBER(); |
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[35aab3] | 394 | #if defined(LDEBUG) |
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| 395 | res->debug=123456; |
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| 396 | #endif |
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[a604c3] | 397 | dest = res->z; |
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[35aab3] | 398 | |
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| 399 | if (e<0) |
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| 400 | { |
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| 401 | al = dest->_mp_size = size; |
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| 402 | if (al<2) al = 2; |
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| 403 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 404 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 405 | bl = 1-e; |
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| 406 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 407 | nn[bl-1] = 1; |
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| 408 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 409 | ndest = res->n; |
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[35aab3] | 410 | ndest->_mp_d = nn; |
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| 411 | ndest->_mp_alloc = ndest->_mp_size = bl; |
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| 412 | res->s = 0; |
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| 413 | } |
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| 414 | else |
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| 415 | { |
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| 416 | al = dest->_mp_size = size+e; |
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| 417 | if (al<2) al = 2; |
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| 418 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 419 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
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| 420 | for (i=0;i<e;i++) dd[i] = 0; |
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| 421 | res->s = 3; |
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| 422 | } |
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| 423 | |
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| 424 | dest->_mp_d = dd; |
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| 425 | dest->_mp_alloc = al; |
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| 426 | if (negative) dest->_mp_size = -dest->_mp_size; |
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| 427 | |
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| 428 | if (res->s==0) |
---|
[371bc5f] | 429 | nlNormalize(res,dst); |
---|
[bbf7a8] | 430 | else if (mpz_size1(res->z)<=MP_SMALL) |
---|
[35aab3] | 431 | { |
---|
| 432 | // res is new, res->ref is 1 |
---|
[246d15] | 433 | res=nlShort3(res); |
---|
[35aab3] | 434 | } |
---|
[2b957a] | 435 | nlTest(res, dst); |
---|
[35aab3] | 436 | return res; |
---|
| 437 | } |
---|
| 438 | |
---|
| 439 | //static number nlMapLongR(number from) |
---|
| 440 | //{ |
---|
| 441 | // gmp_float *ff=(gmp_float*)from; |
---|
| 442 | // const mpf_t *f=ff->mpfp(); |
---|
| 443 | // int f_size=ABS((*f)[0]._mp_size); |
---|
| 444 | // if (f_size==0) |
---|
| 445 | // return nlInit(0); |
---|
| 446 | // int f_sign=1; |
---|
| 447 | // number work=ngcCopy(from); |
---|
| 448 | // if (!ngcGreaterZero(work)) |
---|
| 449 | // { |
---|
| 450 | // f_sign=-1; |
---|
| 451 | // work=ngcNeg(work); |
---|
| 452 | // } |
---|
| 453 | // int i=0; |
---|
| 454 | // mpz_t h1; |
---|
| 455 | // mpz_init_set_ui(h1,1); |
---|
| 456 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
---|
| 457 | // { |
---|
| 458 | // f*=FLT_RADIX; |
---|
| 459 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
---|
| 460 | // i++; |
---|
| 461 | // } |
---|
| 462 | // number r=nlRInit(1); |
---|
| 463 | // mpz_set_d(&(r->z),f); |
---|
[611871] | 464 | // memcpy(&(r->n),&h1,sizeof(h1)); |
---|
[35aab3] | 465 | // r->s=0; /* not normalized */ |
---|
| 466 | // nlNormalize(r); |
---|
| 467 | // return r; |
---|
| 468 | // |
---|
| 469 | // |
---|
| 470 | // number r=nlRInit(1); |
---|
| 471 | // int f_shift=f_size+(*f)[0]._mp_exp; |
---|
| 472 | // if ( f_shift > 0) |
---|
| 473 | // { |
---|
| 474 | // r->s=0; |
---|
| 475 | // mpz_init(&r->n); |
---|
| 476 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
---|
| 477 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 478 | // // now r->z has enough space |
---|
[611871] | 479 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 480 | // nlNormalize(r); |
---|
| 481 | // } |
---|
| 482 | // else |
---|
| 483 | // { |
---|
| 484 | // r->s=3; |
---|
| 485 | // if (f_shift==0) |
---|
| 486 | // { |
---|
| 487 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 488 | // // now r->z has enough space |
---|
[611871] | 489 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 490 | // } |
---|
| 491 | // else /* f_shift < 0 */ |
---|
| 492 | // { |
---|
| 493 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 494 | // // now r->z has enough space |
---|
[611871] | 495 | // memcpy(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
[35aab3] | 496 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 497 | // } |
---|
| 498 | // } |
---|
| 499 | // if ((*f)[0]._mp_size<0); |
---|
| 500 | // r=nlNeg(r); |
---|
| 501 | // return r; |
---|
| 502 | //} |
---|
| 503 | |
---|
[121fd9] | 504 | int nlSize(number a, const coeffs) |
---|
[35aab3] | 505 | { |
---|
| 506 | if (a==INT_TO_SR(0)) |
---|
| 507 | return 0; /* rational 0*/ |
---|
| 508 | if (SR_HDL(a) & SR_INT) |
---|
| 509 | return 1; /* immidiate int */ |
---|
[a604c3] | 510 | int s=a->z[0]._mp_alloc; |
---|
[9bb5457] | 511 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 512 | //#if SIZEOF_LONG == 8 |
---|
| 513 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 514 | // else s *=2; |
---|
| 515 | //#endif |
---|
[790096] | 516 | // s++; |
---|
[35aab3] | 517 | if (a->s<2) |
---|
| 518 | { |
---|
[a604c3] | 519 | int d=a->n[0]._mp_alloc; |
---|
[9bb5457] | 520 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 521 | //#if SIZEOF_LONG == 8 |
---|
| 522 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 523 | // else d *=2; |
---|
| 524 | //#endif |
---|
[1da0b5] | 525 | s+=d; |
---|
[35aab3] | 526 | } |
---|
| 527 | return s; |
---|
| 528 | } |
---|
| 529 | |
---|
| 530 | /*2 |
---|
| 531 | * convert number to int |
---|
| 532 | */ |
---|
[a642c64] | 533 | int nlInt(number &i, const coeffs r) |
---|
[35aab3] | 534 | { |
---|
[2b957a] | 535 | nlTest(i, r); |
---|
[a642c64] | 536 | nlNormalize(i,r); |
---|
[35aab3] | 537 | if (SR_HDL(i) &SR_INT) return SR_TO_INT(i); |
---|
| 538 | if (i->s==3) |
---|
| 539 | { |
---|
[a604c3] | 540 | if(mpz_size1(i->z)>MP_SMALL) return 0; |
---|
| 541 | int ul=(int)mpz_get_si(i->z); |
---|
| 542 | if (mpz_cmp_si(i->z,(long)ul)!=0) return 0; |
---|
[35aab3] | 543 | return ul; |
---|
| 544 | } |
---|
[a604c3] | 545 | mpz_t tmp; |
---|
[35aab3] | 546 | int ul; |
---|
[a604c3] | 547 | mpz_init(tmp); |
---|
| 548 | MPZ_DIV(tmp,i->z,i->n); |
---|
| 549 | if(mpz_size1(tmp)>MP_SMALL) ul=0; |
---|
[35aab3] | 550 | else |
---|
| 551 | { |
---|
[a604c3] | 552 | ul=(int)mpz_get_si(tmp); |
---|
| 553 | if (mpz_cmp_si(tmp,(long)ul)!=0) ul=0; |
---|
[35aab3] | 554 | } |
---|
[a604c3] | 555 | mpz_clear(tmp); |
---|
[35aab3] | 556 | return ul; |
---|
| 557 | } |
---|
| 558 | |
---|
[7f7573] | 559 | /*2 |
---|
| 560 | * convert number to bigint |
---|
| 561 | */ |
---|
[a642c64] | 562 | number nlBigInt(number &i, const coeffs r) |
---|
[7f7573] | 563 | { |
---|
[2b957a] | 564 | nlTest(i, r); |
---|
[a642c64] | 565 | nlNormalize(i,r); |
---|
[7f7573] | 566 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 567 | if (i->s==3) |
---|
| 568 | { |
---|
[a642c64] | 569 | return nlCopy(i,r); |
---|
[7f7573] | 570 | } |
---|
| 571 | number tmp=nlRInit(1); |
---|
[a604c3] | 572 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[246d15] | 573 | tmp=nlShort3(tmp); |
---|
[7f7573] | 574 | return tmp; |
---|
| 575 | } |
---|
| 576 | |
---|
[35aab3] | 577 | /* |
---|
| 578 | * 1/a |
---|
| 579 | */ |
---|
[a642c64] | 580 | number nlInvers(number a, const coeffs r) |
---|
[35aab3] | 581 | { |
---|
[2b957a] | 582 | nlTest(a, r); |
---|
[35aab3] | 583 | number n; |
---|
| 584 | if (SR_HDL(a) & SR_INT) |
---|
| 585 | { |
---|
[246d15] | 586 | if ((a==INT_TO_SR(1L)) || (a==INT_TO_SR(-1L))) |
---|
[35aab3] | 587 | { |
---|
| 588 | return a; |
---|
| 589 | } |
---|
[a642c64] | 590 | if (nlIsZero(a,r)) |
---|
[35aab3] | 591 | { |
---|
[b7e838] | 592 | WerrorS(nDivBy0); |
---|
[35aab3] | 593 | return INT_TO_SR(0); |
---|
| 594 | } |
---|
[896561] | 595 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 596 | #if defined(LDEBUG) |
---|
| 597 | n->debug=123456; |
---|
| 598 | #endif |
---|
| 599 | n->s=1; |
---|
[7447d8] | 600 | if ((long)a>0L) |
---|
[35aab3] | 601 | { |
---|
[a604c3] | 602 | mpz_init_set_si(n->z,(long)1); |
---|
| 603 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 604 | } |
---|
| 605 | else |
---|
| 606 | { |
---|
[a604c3] | 607 | mpz_init_set_si(n->z,(long)-1); |
---|
| 608 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 609 | } |
---|
[2b957a] | 610 | nlTest(n, r); |
---|
[35aab3] | 611 | return n; |
---|
| 612 | } |
---|
[896561] | 613 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 614 | #if defined(LDEBUG) |
---|
| 615 | n->debug=123456; |
---|
| 616 | #endif |
---|
| 617 | { |
---|
| 618 | n->s=a->s; |
---|
[a604c3] | 619 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 620 | switch (a->s) |
---|
| 621 | { |
---|
| 622 | case 0: |
---|
| 623 | case 1: |
---|
[a604c3] | 624 | mpz_init_set(n->z,a->n); |
---|
| 625 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 626 | { |
---|
[a604c3] | 627 | mpz_neg(n->z,n->z); |
---|
| 628 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 629 | } |
---|
[a604c3] | 630 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 631 | { |
---|
[a604c3] | 632 | mpz_clear(n->n); |
---|
[35aab3] | 633 | n->s=3; |
---|
[246d15] | 634 | n=nlShort3(n); |
---|
[35aab3] | 635 | } |
---|
| 636 | break; |
---|
| 637 | case 3: |
---|
| 638 | n->s=1; |
---|
[a604c3] | 639 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 640 | { |
---|
[a604c3] | 641 | mpz_neg(n->n,n->n); |
---|
| 642 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 643 | } |
---|
| 644 | else |
---|
| 645 | { |
---|
[a604c3] | 646 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 647 | } |
---|
| 648 | break; |
---|
| 649 | } |
---|
| 650 | } |
---|
[2b957a] | 651 | nlTest(n, r); |
---|
[35aab3] | 652 | return n; |
---|
| 653 | } |
---|
| 654 | |
---|
| 655 | |
---|
| 656 | /*2 |
---|
| 657 | * u := a / b in Z, if b | a (else undefined) |
---|
| 658 | */ |
---|
[2b957a] | 659 | number nlExactDiv(number a, number b, const coeffs r) |
---|
[35aab3] | 660 | { |
---|
| 661 | if (b==INT_TO_SR(0)) |
---|
| 662 | { |
---|
[b7e838] | 663 | WerrorS(nDivBy0); |
---|
[35aab3] | 664 | return INT_TO_SR(0); |
---|
| 665 | } |
---|
| 666 | if (a==INT_TO_SR(0)) |
---|
| 667 | return INT_TO_SR(0); |
---|
| 668 | number u; |
---|
| 669 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 670 | { |
---|
| 671 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 672 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 673 | { |
---|
[246d15] | 674 | return nlRInit(POW_2_28); |
---|
[35aab3] | 675 | } |
---|
[246d15] | 676 | long aa=SR_TO_INT(a); |
---|
| 677 | long bb=SR_TO_INT(b); |
---|
[35aab3] | 678 | return INT_TO_SR(aa/bb); |
---|
| 679 | } |
---|
| 680 | number bb=NULL; |
---|
| 681 | if (SR_HDL(b) & SR_INT) |
---|
| 682 | { |
---|
| 683 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 684 | b=bb; |
---|
| 685 | } |
---|
[896561] | 686 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 687 | #if defined(LDEBUG) |
---|
| 688 | u->debug=123456; |
---|
| 689 | #endif |
---|
[a604c3] | 690 | mpz_init(u->z); |
---|
[35aab3] | 691 | /* u=a/b */ |
---|
| 692 | u->s = 3; |
---|
[a604c3] | 693 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 694 | if (bb!=NULL) |
---|
| 695 | { |
---|
[a604c3] | 696 | mpz_clear(bb->z); |
---|
[35aab3] | 697 | #if defined(LDEBUG) |
---|
| 698 | bb->debug=654324; |
---|
| 699 | #endif |
---|
[d663f2] | 700 | FREE_RNUMBER(bb); // omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 701 | } |
---|
[246d15] | 702 | u=nlShort3(u); |
---|
[2b957a] | 703 | nlTest(u, r); |
---|
[35aab3] | 704 | return u; |
---|
| 705 | } |
---|
| 706 | |
---|
| 707 | /*2 |
---|
| 708 | * u := a / b in Z |
---|
| 709 | */ |
---|
[2b957a] | 710 | number nlIntDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 711 | { |
---|
| 712 | if (b==INT_TO_SR(0)) |
---|
| 713 | { |
---|
[b7e838] | 714 | WerrorS(nDivBy0); |
---|
[35aab3] | 715 | return INT_TO_SR(0); |
---|
| 716 | } |
---|
| 717 | if (a==INT_TO_SR(0)) |
---|
| 718 | return INT_TO_SR(0); |
---|
| 719 | number u; |
---|
| 720 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 721 | { |
---|
| 722 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 723 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 724 | { |
---|
[246d15] | 725 | return nlRInit(POW_2_28); |
---|
[35aab3] | 726 | } |
---|
[246d15] | 727 | long aa=SR_TO_INT(a); |
---|
| 728 | long bb=SR_TO_INT(b); |
---|
[7326063] | 729 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 730 | } |
---|
| 731 | if (SR_HDL(a) & SR_INT) |
---|
| 732 | { |
---|
| 733 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
[246d15] | 734 | if (a==INT_TO_SR(-(POW_2_28))) |
---|
[35aab3] | 735 | { |
---|
[246d15] | 736 | if(mpz_cmp_si(b->z,(POW_2_28))==0) |
---|
[35aab3] | 737 | { |
---|
| 738 | return INT_TO_SR(-1); |
---|
| 739 | } |
---|
| 740 | } |
---|
| 741 | /* a is a small and b is a large int: -> 0 */ |
---|
| 742 | return INT_TO_SR(0); |
---|
| 743 | } |
---|
| 744 | number bb=NULL; |
---|
| 745 | if (SR_HDL(b) & SR_INT) |
---|
| 746 | { |
---|
| 747 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 748 | b=bb; |
---|
| 749 | } |
---|
[896561] | 750 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 751 | #if defined(LDEBUG) |
---|
| 752 | u->debug=123456; |
---|
| 753 | #endif |
---|
[98bda9] | 754 | assume(a->s==3); |
---|
| 755 | assume(b->s==3); |
---|
[a604c3] | 756 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 757 | /* u=u/b */ |
---|
| 758 | u->s = 3; |
---|
[a604c3] | 759 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 760 | if (bb!=NULL) |
---|
| 761 | { |
---|
[a604c3] | 762 | mpz_clear(bb->z); |
---|
[35aab3] | 763 | #if defined(LDEBUG) |
---|
| 764 | bb->debug=654324; |
---|
| 765 | #endif |
---|
[de27d8] | 766 | FREE_RNUMBER(bb); |
---|
[35aab3] | 767 | } |
---|
[246d15] | 768 | u=nlShort3(u); |
---|
[de27d8] | 769 | nlTest(u,r); |
---|
[35aab3] | 770 | return u; |
---|
| 771 | } |
---|
| 772 | |
---|
| 773 | /*2 |
---|
| 774 | * u := a mod b in Z, u>=0 |
---|
| 775 | */ |
---|
[a642c64] | 776 | number nlIntMod (number a, number b, const coeffs r) |
---|
[35aab3] | 777 | { |
---|
| 778 | if (b==INT_TO_SR(0)) |
---|
| 779 | { |
---|
[b7e838] | 780 | WerrorS(nDivBy0); |
---|
[35aab3] | 781 | return INT_TO_SR(0); |
---|
| 782 | } |
---|
| 783 | if (a==INT_TO_SR(0)) |
---|
| 784 | return INT_TO_SR(0); |
---|
| 785 | number u; |
---|
| 786 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 787 | { |
---|
[de27d8] | 788 | LONG bb=SR_TO_INT(b); |
---|
| 789 | LONG c=SR_TO_INT(a)%bb; |
---|
| 790 | return INT_TO_SR(c); |
---|
[35aab3] | 791 | } |
---|
| 792 | if (SR_HDL(a) & SR_INT) |
---|
| 793 | { |
---|
[824c47] | 794 | /* a is a small and b is a large int: -> a */ |
---|
[de27d8] | 795 | return a; |
---|
[35aab3] | 796 | } |
---|
| 797 | number bb=NULL; |
---|
| 798 | if (SR_HDL(b) & SR_INT) |
---|
| 799 | { |
---|
| 800 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 801 | b=bb; |
---|
| 802 | } |
---|
[896561] | 803 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 804 | #if defined(LDEBUG) |
---|
| 805 | u->debug=123456; |
---|
| 806 | #endif |
---|
[a604c3] | 807 | mpz_init(u->z); |
---|
[35aab3] | 808 | u->s = 3; |
---|
[a604c3] | 809 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 810 | if (bb!=NULL) |
---|
| 811 | { |
---|
[a604c3] | 812 | mpz_clear(bb->z); |
---|
[35aab3] | 813 | #if defined(LDEBUG) |
---|
| 814 | bb->debug=654324; |
---|
| 815 | #endif |
---|
[de27d8] | 816 | FREE_RNUMBER(bb); |
---|
[35aab3] | 817 | } |
---|
[a604c3] | 818 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 819 | { |
---|
[a604c3] | 820 | if (mpz_isNeg(b->z)) |
---|
| 821 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 822 | else |
---|
[a604c3] | 823 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 824 | } |
---|
[246d15] | 825 | u=nlShort3(u); |
---|
[de27d8] | 826 | nlTest(u,r); |
---|
[35aab3] | 827 | return u; |
---|
| 828 | } |
---|
| 829 | |
---|
| 830 | /*2 |
---|
| 831 | * u := a / b |
---|
| 832 | */ |
---|
[a642c64] | 833 | number nlDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 834 | { |
---|
| 835 | number u; |
---|
[a642c64] | 836 | if (nlIsZero(b,r)) |
---|
[35aab3] | 837 | { |
---|
[b7e838] | 838 | WerrorS(nDivBy0); |
---|
[35aab3] | 839 | return INT_TO_SR(0); |
---|
| 840 | } |
---|
[896561] | 841 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 842 | u->s=0; |
---|
| 843 | #if defined(LDEBUG) |
---|
| 844 | u->debug=123456; |
---|
| 845 | #endif |
---|
| 846 | // ---------- short / short ------------------------------------ |
---|
| 847 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 848 | { |
---|
[135e78] | 849 | LONG i=SR_TO_INT(a); |
---|
| 850 | LONG j=SR_TO_INT(b); |
---|
[1a97da] | 851 | if ((i==-POW_2_28) && (j== -1L)) |
---|
[e11ed0] | 852 | { |
---|
[896561] | 853 | FREE_RNUMBER(u); |
---|
[1a97da] | 854 | return nlRInit(POW_2_28); |
---|
| 855 | } |
---|
[135e78] | 856 | LONG r=i%j; |
---|
[35aab3] | 857 | if (r==0) |
---|
| 858 | { |
---|
[d663f2] | 859 | FREE_RNUMBER(u); // omFreeBin((void *)u, rnumber_bin); |
---|
[35aab3] | 860 | return INT_TO_SR(i/j); |
---|
| 861 | } |
---|
[a604c3] | 862 | mpz_init_set_si(u->z,(long)i); |
---|
| 863 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 864 | } |
---|
| 865 | else |
---|
| 866 | { |
---|
[a604c3] | 867 | mpz_init(u->z); |
---|
[35aab3] | 868 | // ---------- short / long ------------------------------------ |
---|
| 869 | if (SR_HDL(a) & SR_INT) |
---|
| 870 | { |
---|
| 871 | // short a / (z/n) -> (a*n)/z |
---|
| 872 | if (b->s<2) |
---|
| 873 | { |
---|
[a604c3] | 874 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 875 | } |
---|
| 876 | else |
---|
| 877 | // short a / long z -> a/z |
---|
| 878 | { |
---|
[a604c3] | 879 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 880 | } |
---|
[a604c3] | 881 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 882 | { |
---|
[a604c3] | 883 | mpz_clear(u->z); |
---|
[896561] | 884 | FREE_RNUMBER(u); |
---|
[35aab3] | 885 | return INT_TO_SR(1); |
---|
| 886 | } |
---|
[a604c3] | 887 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 888 | } |
---|
| 889 | // ---------- long / short ------------------------------------ |
---|
| 890 | else if (SR_HDL(b) & SR_INT) |
---|
| 891 | { |
---|
[a604c3] | 892 | mpz_set(u->z,a->z); |
---|
[35aab3] | 893 | // (z/n) / b -> z/(n*b) |
---|
| 894 | if (a->s<2) |
---|
| 895 | { |
---|
[a604c3] | 896 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 897 | if ((long)b>0L) |
---|
[a604c3] | 898 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 899 | else |
---|
| 900 | { |
---|
[a604c3] | 901 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 902 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 903 | } |
---|
| 904 | } |
---|
| 905 | else |
---|
| 906 | // long z / short b -> z/b |
---|
| 907 | { |
---|
[a604c3] | 908 | //mpz_set(u->z,a->z); |
---|
| 909 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 910 | } |
---|
| 911 | } |
---|
| 912 | // ---------- long / long ------------------------------------ |
---|
| 913 | else |
---|
| 914 | { |
---|
[a604c3] | 915 | mpz_set(u->z,a->z); |
---|
| 916 | mpz_init_set(u->n,b->z); |
---|
| 917 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 918 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 919 | } |
---|
| 920 | } |
---|
[a604c3] | 921 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 922 | { |
---|
[a604c3] | 923 | mpz_neg(u->z,u->z); |
---|
| 924 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 925 | } |
---|
[a604c3] | 926 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 927 | { |
---|
[a604c3] | 928 | mpz_clear(u->n); |
---|
[35aab3] | 929 | u->s=3; |
---|
[246d15] | 930 | u=nlShort3(u); |
---|
[35aab3] | 931 | } |
---|
[2b957a] | 932 | nlTest(u, r); |
---|
[35aab3] | 933 | return u; |
---|
| 934 | } |
---|
| 935 | |
---|
| 936 | /*2 |
---|
| 937 | * u:= x ^ exp |
---|
| 938 | */ |
---|
[a642c64] | 939 | void nlPower (number x,int exp,number * u, const coeffs r) |
---|
[35aab3] | 940 | { |
---|
[6242bb3] | 941 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[ef7324] | 942 | if (exp==0) |
---|
| 943 | *u= INT_TO_SR(1); |
---|
| 944 | else if (!nlIsZero(x,r)) |
---|
[35aab3] | 945 | { |
---|
[2b957a] | 946 | nlTest(x, r); |
---|
[35aab3] | 947 | number aa=NULL; |
---|
| 948 | if (SR_HDL(x) & SR_INT) |
---|
| 949 | { |
---|
| 950 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 951 | x=aa; |
---|
| 952 | } |
---|
[ee7dcf] | 953 | else if (x->s==0) |
---|
[a642c64] | 954 | nlNormalize(x,r); |
---|
[896561] | 955 | *u=ALLOC_RNUMBER(); |
---|
[35aab3] | 956 | #if defined(LDEBUG) |
---|
| 957 | (*u)->debug=123456; |
---|
| 958 | #endif |
---|
[a604c3] | 959 | mpz_init((*u)->z); |
---|
| 960 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 961 | if (x->s<2) |
---|
| 962 | { |
---|
[a604c3] | 963 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 964 | { |
---|
| 965 | x->s=3; |
---|
[a604c3] | 966 | mpz_clear(x->n); |
---|
[35aab3] | 967 | } |
---|
| 968 | else |
---|
| 969 | { |
---|
[a604c3] | 970 | mpz_init((*u)->n); |
---|
| 971 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 972 | } |
---|
| 973 | } |
---|
| 974 | (*u)->s = x->s; |
---|
[246d15] | 975 | if ((*u)->s==3) *u=nlShort3(*u); |
---|
[35aab3] | 976 | if (aa!=NULL) |
---|
| 977 | { |
---|
[a604c3] | 978 | mpz_clear(aa->z); |
---|
[896561] | 979 | FREE_RNUMBER(aa); |
---|
[35aab3] | 980 | } |
---|
| 981 | } |
---|
| 982 | #ifdef LDEBUG |
---|
[deca7f6] | 983 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[2b957a] | 984 | nlTest(*u, r); |
---|
[35aab3] | 985 | #endif |
---|
| 986 | } |
---|
| 987 | |
---|
| 988 | |
---|
| 989 | /*2 |
---|
| 990 | * za >= 0 ? |
---|
| 991 | */ |
---|
[2b957a] | 992 | BOOLEAN nlGreaterZero (number a, const coeffs r) |
---|
[35aab3] | 993 | { |
---|
[2b957a] | 994 | nlTest(a, r); |
---|
[246d15] | 995 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1L /* represents number(0) */; |
---|
[a604c3] | 996 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 997 | } |
---|
| 998 | |
---|
| 999 | /*2 |
---|
| 1000 | * a > b ? |
---|
| 1001 | */ |
---|
[a642c64] | 1002 | BOOLEAN nlGreater (number a, number b, const coeffs r) |
---|
[35aab3] | 1003 | { |
---|
[2b957a] | 1004 | nlTest(a, r); |
---|
| 1005 | nlTest(b, r); |
---|
[a642c64] | 1006 | number re; |
---|
[35aab3] | 1007 | BOOLEAN rr; |
---|
[a642c64] | 1008 | re=nlSub(a,b,r); |
---|
| 1009 | rr=(!nlIsZero(re,r)) && (nlGreaterZero(re,r)); |
---|
| 1010 | nlDelete(&re,r); |
---|
[35aab3] | 1011 | return rr; |
---|
| 1012 | } |
---|
| 1013 | |
---|
| 1014 | /*2 |
---|
| 1015 | * a == -1 ? |
---|
| 1016 | */ |
---|
[2b957a] | 1017 | BOOLEAN nlIsMOne (number a, const coeffs r) |
---|
[35aab3] | 1018 | { |
---|
| 1019 | #ifdef LDEBUG |
---|
| 1020 | if (a==NULL) return FALSE; |
---|
[2b957a] | 1021 | nlTest(a, r); |
---|
[35aab3] | 1022 | #endif |
---|
[246d15] | 1023 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1L)); |
---|
[5f4ae4] | 1024 | //return FALSE; |
---|
[246d15] | 1025 | return (a==INT_TO_SR(-1L)); |
---|
[35aab3] | 1026 | } |
---|
| 1027 | |
---|
| 1028 | /*2 |
---|
| 1029 | * result =gcd(a,b) |
---|
| 1030 | */ |
---|
[a642c64] | 1031 | number nlGcd(number a, number b, const coeffs r) |
---|
[35aab3] | 1032 | { |
---|
| 1033 | number result; |
---|
[2b957a] | 1034 | nlTest(a, r); |
---|
| 1035 | nlTest(b, r); |
---|
[35aab3] | 1036 | //nlNormalize(a); |
---|
| 1037 | //nlNormalize(b); |
---|
[246d15] | 1038 | if ((a==INT_TO_SR(1L))||(a==INT_TO_SR(-1L)) |
---|
| 1039 | || (b==INT_TO_SR(1L))||(b==INT_TO_SR(-1L))) |
---|
| 1040 | return INT_TO_SR(1L); |
---|
[f553f3] | 1041 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
[a642c64] | 1042 | return nlCopy(b,r); |
---|
[f553f3] | 1043 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
[a642c64] | 1044 | return nlCopy(a,r); |
---|
[35aab3] | 1045 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1046 | { |
---|
[246d15] | 1047 | long i=SR_TO_INT(a); |
---|
| 1048 | long j=SR_TO_INT(b); |
---|
| 1049 | if((i==0L)||(j==0L)) |
---|
[35aab3] | 1050 | return INT_TO_SR(1); |
---|
[246d15] | 1051 | long l; |
---|
[35aab3] | 1052 | i=ABS(i); |
---|
| 1053 | j=ABS(j); |
---|
| 1054 | do |
---|
| 1055 | { |
---|
| 1056 | l=i%j; |
---|
| 1057 | i=j; |
---|
| 1058 | j=l; |
---|
[246d15] | 1059 | } while (l!=0L); |
---|
[794463] | 1060 | if (i==POW_2_28) |
---|
| 1061 | result=nlRInit(POW_2_28); |
---|
| 1062 | else |
---|
| 1063 | result=INT_TO_SR(i); |
---|
[2b957a] | 1064 | nlTest(result,r); |
---|
[794463] | 1065 | return result; |
---|
[35aab3] | 1066 | } |
---|
| 1067 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1068 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1069 | if (SR_HDL(a) & SR_INT) |
---|
| 1070 | { |
---|
[794463] | 1071 | LONG aa=ABS(SR_TO_INT(a)); |
---|
| 1072 | unsigned long t=mpz_gcd_ui(NULL,b->z,(long)aa); |
---|
| 1073 | if (t==POW_2_28) |
---|
| 1074 | result=nlRInit(POW_2_28); |
---|
| 1075 | else |
---|
| 1076 | result=INT_TO_SR(t); |
---|
[35aab3] | 1077 | } |
---|
| 1078 | else |
---|
| 1079 | if (SR_HDL(b) & SR_INT) |
---|
| 1080 | { |
---|
[794463] | 1081 | LONG bb=ABS(SR_TO_INT(b)); |
---|
| 1082 | unsigned long t=mpz_gcd_ui(NULL,a->z,(long)bb); |
---|
| 1083 | if (t==POW_2_28) |
---|
| 1084 | result=nlRInit(POW_2_28); |
---|
| 1085 | else |
---|
| 1086 | result=INT_TO_SR(t); |
---|
[35aab3] | 1087 | } |
---|
| 1088 | else |
---|
| 1089 | { |
---|
[a44bcf] | 1090 | result=ALLOC0_RNUMBER(); |
---|
[a604c3] | 1091 | mpz_init(result->z); |
---|
| 1092 | mpz_gcd(result->z,a->z,b->z); |
---|
[ea66a97] | 1093 | result->s = 3; |
---|
| 1094 | #ifdef LDEBUG |
---|
| 1095 | result->debug=123456; |
---|
| 1096 | #endif |
---|
[246d15] | 1097 | result=nlShort3(result); |
---|
[35aab3] | 1098 | } |
---|
[2b957a] | 1099 | nlTest(result, r); |
---|
[35aab3] | 1100 | return result; |
---|
| 1101 | } |
---|
| 1102 | |
---|
[18057e] | 1103 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1104 | { |
---|
[18057e] | 1105 | assume(x->s<2); |
---|
[a604c3] | 1106 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1107 | { |
---|
[106406] | 1108 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1109 | return INT_TO_SR(0); |
---|
| 1110 | } |
---|
[18057e] | 1111 | if (x->s<2) |
---|
| 1112 | { |
---|
[a604c3] | 1113 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1114 | { |
---|
[106406] | 1115 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1116 | return INT_TO_SR(1); |
---|
| 1117 | } |
---|
| 1118 | } |
---|
| 1119 | return x; |
---|
| 1120 | } |
---|
[35aab3] | 1121 | /*2 |
---|
| 1122 | * simplify x |
---|
| 1123 | */ |
---|
[a642c64] | 1124 | void nlNormalize (number &x, const coeffs r) |
---|
[35aab3] | 1125 | { |
---|
| 1126 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1127 | return; |
---|
| 1128 | if (x->s==3) |
---|
| 1129 | { |
---|
[246d15] | 1130 | x=nlShort3_noinline(x); |
---|
[2b957a] | 1131 | nlTest(x,r); |
---|
[18057e] | 1132 | return; |
---|
[35aab3] | 1133 | } |
---|
[3ccafbf] | 1134 | else if (x->s==0) |
---|
[35aab3] | 1135 | { |
---|
[a604c3] | 1136 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1137 | { |
---|
[a604c3] | 1138 | mpz_clear(x->n); |
---|
[3ccafbf] | 1139 | x->s=3; |
---|
[246d15] | 1140 | x=nlShort3(x); |
---|
[eb059c5] | 1141 | } |
---|
[3ccafbf] | 1142 | else |
---|
[eb059c5] | 1143 | { |
---|
[a604c3] | 1144 | mpz_t gcd; |
---|
| 1145 | mpz_init(gcd); |
---|
| 1146 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1147 | x->s=1; |
---|
[a604c3] | 1148 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1149 | { |
---|
[a604c3] | 1150 | mpz_t r; |
---|
| 1151 | mpz_init(r); |
---|
| 1152 | MPZ_EXACTDIV(r,x->z,gcd); |
---|
| 1153 | mpz_set(x->z,r); |
---|
| 1154 | MPZ_EXACTDIV(r,x->n,gcd); |
---|
| 1155 | mpz_set(x->n,r); |
---|
| 1156 | mpz_clear(r); |
---|
| 1157 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1158 | { |
---|
[a604c3] | 1159 | mpz_clear(x->n); |
---|
[3ccafbf] | 1160 | x->s=3; |
---|
[246d15] | 1161 | x=nlShort3_noinline(x); |
---|
[3ccafbf] | 1162 | } |
---|
[eb059c5] | 1163 | } |
---|
[a604c3] | 1164 | mpz_clear(gcd); |
---|
[35aab3] | 1165 | } |
---|
| 1166 | } |
---|
[2b957a] | 1167 | nlTest(x, r); |
---|
[35aab3] | 1168 | } |
---|
| 1169 | |
---|
| 1170 | /*2 |
---|
| 1171 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1172 | */ |
---|
[a642c64] | 1173 | number nlLcm(number a, number b, const coeffs r) |
---|
[35aab3] | 1174 | { |
---|
| 1175 | number result; |
---|
[2b957a] | 1176 | nlTest(a, r); |
---|
| 1177 | nlTest(b, r); |
---|
[35aab3] | 1178 | if ((SR_HDL(b) & SR_INT) |
---|
| 1179 | || (b->s==3)) |
---|
| 1180 | { |
---|
| 1181 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
[a642c64] | 1182 | return nlCopy(a,r); |
---|
[35aab3] | 1183 | } |
---|
[896561] | 1184 | result=ALLOC_RNUMBER(); |
---|
[35aab3] | 1185 | #if defined(LDEBUG) |
---|
| 1186 | result->debug=123456; |
---|
| 1187 | #endif |
---|
| 1188 | result->s=3; |
---|
[a604c3] | 1189 | mpz_t gcd; |
---|
| 1190 | mpz_init(gcd); |
---|
| 1191 | mpz_init(result->z); |
---|
[35aab3] | 1192 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1193 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1194 | else |
---|
[a604c3] | 1195 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1196 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1197 | { |
---|
[a604c3] | 1198 | mpz_t bt; |
---|
| 1199 | mpz_init_set(bt,b->n); |
---|
| 1200 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1201 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1202 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1203 | else |
---|
[a604c3] | 1204 | mpz_mul(result->z,bt,a->z); |
---|
| 1205 | mpz_clear(bt); |
---|
[35aab3] | 1206 | } |
---|
| 1207 | else |
---|
| 1208 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1209 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1210 | else |
---|
[a604c3] | 1211 | mpz_mul(result->z,b->n,a->z); |
---|
| 1212 | mpz_clear(gcd); |
---|
[246d15] | 1213 | result=nlShort3(result); |
---|
[2b957a] | 1214 | nlTest(result, r); |
---|
[35aab3] | 1215 | return result; |
---|
| 1216 | } |
---|
| 1217 | |
---|
[79020f] | 1218 | // Map q \in QQ \to Zp |
---|
| 1219 | // src = Q, dst = Zp (or an extension of Zp?) |
---|
| 1220 | number nlModP(number q, const coeffs Q, const coeffs Zp) |
---|
[35aab3] | 1221 | { |
---|
[79020f] | 1222 | assume( getCoeffType(Q) == ID ); |
---|
| 1223 | |
---|
| 1224 | const int p = n_GetChar(Zp); |
---|
| 1225 | assume( p > 0 ); |
---|
| 1226 | |
---|
| 1227 | const long P = p; |
---|
| 1228 | assume( P > 0 ); |
---|
| 1229 | |
---|
| 1230 | // embedded long within q => only long numerator has to be converted |
---|
| 1231 | // to int (modulo char.) |
---|
| 1232 | if (SR_HDL(q) & SR_INT) |
---|
[35aab3] | 1233 | { |
---|
[79020f] | 1234 | long i = SR_TO_INT(q); |
---|
| 1235 | if (i<0L) |
---|
| 1236 | return n_Init( static_cast<int>( P - ((-i)%P) ), Zp); |
---|
| 1237 | else |
---|
| 1238 | return n_Init( static_cast<int>( i % P ), Zp ); |
---|
[35aab3] | 1239 | } |
---|
[79020f] | 1240 | |
---|
| 1241 | const unsigned long PP = p; |
---|
| 1242 | |
---|
| 1243 | // numerator modulo char. should fit into int |
---|
[e11ed0] | 1244 | number z = n_Init( static_cast<int>(mpz_fdiv_ui(q->z, PP)), Zp ); |
---|
[79020f] | 1245 | |
---|
| 1246 | // denominator != 1? |
---|
| 1247 | if (q->s!=3) |
---|
[35aab3] | 1248 | { |
---|
[79020f] | 1249 | // denominator modulo char. should fit into int |
---|
| 1250 | number n = n_Init( static_cast<int>(mpz_fdiv_ui(q->n, PP)), Zp ); |
---|
| 1251 | |
---|
| 1252 | number res = n_Div( z, n, Zp ); |
---|
| 1253 | |
---|
| 1254 | n_Delete(&z, Zp); |
---|
| 1255 | n_Delete(&n, Zp); |
---|
| 1256 | |
---|
| 1257 | return res; |
---|
[35aab3] | 1258 | } |
---|
[79020f] | 1259 | |
---|
| 1260 | return z; |
---|
[35aab3] | 1261 | } |
---|
| 1262 | |
---|
[894f5b1] | 1263 | #ifdef HAVE_RINGS |
---|
| 1264 | /*2 |
---|
[1919112] | 1265 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1266 | */ |
---|
[2518db] | 1267 | void nlGMP(number &i, number n, const coeffs r) |
---|
[894f5b1] | 1268 | { |
---|
| 1269 | // Hier brauche ich einfach die GMP Zahl |
---|
[2b957a] | 1270 | nlTest(i, r); |
---|
[2518db] | 1271 | nlNormalize(i, r); |
---|
[894f5b1] | 1272 | if (SR_HDL(i) & SR_INT) |
---|
| 1273 | { |
---|
[246d15] | 1274 | mpz_set_si((mpz_ptr) n, SR_TO_INT(i)); |
---|
[0959dc] | 1275 | return; |
---|
[894f5b1] | 1276 | } |
---|
| 1277 | if (i->s!=3) |
---|
| 1278 | { |
---|
| 1279 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1280 | } |
---|
[a604c3] | 1281 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1282 | } |
---|
| 1283 | #endif |
---|
| 1284 | |
---|
[35aab3] | 1285 | /*2 |
---|
| 1286 | * acces to denominator, other 1 for integers |
---|
| 1287 | */ |
---|
[a642c64] | 1288 | number nlGetDenom(number &n, const coeffs r) |
---|
[35aab3] | 1289 | { |
---|
| 1290 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1291 | { |
---|
| 1292 | if (n->s==0) |
---|
| 1293 | { |
---|
[a642c64] | 1294 | nlNormalize(n,r); |
---|
[35aab3] | 1295 | } |
---|
| 1296 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1297 | { |
---|
| 1298 | if (n->s!=3) |
---|
| 1299 | { |
---|
[896561] | 1300 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1301 | u->s=3; |
---|
| 1302 | #if defined(LDEBUG) |
---|
| 1303 | u->debug=123456; |
---|
| 1304 | #endif |
---|
[a604c3] | 1305 | mpz_init_set(u->z,n->n); |
---|
[246d15] | 1306 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1307 | return u; |
---|
| 1308 | } |
---|
| 1309 | } |
---|
| 1310 | } |
---|
| 1311 | return INT_TO_SR(1); |
---|
| 1312 | } |
---|
| 1313 | |
---|
| 1314 | /*2 |
---|
| 1315 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1316 | */ |
---|
[a642c64] | 1317 | number nlGetNumerator(number &n, const coeffs r) |
---|
[35aab3] | 1318 | { |
---|
| 1319 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1320 | { |
---|
| 1321 | if (n->s==0) |
---|
| 1322 | { |
---|
[a642c64] | 1323 | nlNormalize(n,r); |
---|
[35aab3] | 1324 | } |
---|
| 1325 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1326 | { |
---|
[896561] | 1327 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1328 | #if defined(LDEBUG) |
---|
| 1329 | u->debug=123456; |
---|
| 1330 | #endif |
---|
| 1331 | u->s=3; |
---|
[a604c3] | 1332 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1333 | if (n->s!=3) |
---|
| 1334 | { |
---|
[246d15] | 1335 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1336 | } |
---|
| 1337 | return u; |
---|
| 1338 | } |
---|
| 1339 | } |
---|
| 1340 | return n; // imm. int |
---|
| 1341 | } |
---|
| 1342 | |
---|
| 1343 | /*************************************************************** |
---|
| 1344 | * |
---|
| 1345 | * routines which are needed by Inline(d) routines |
---|
| 1346 | * |
---|
| 1347 | *******************************************************************/ |
---|
| 1348 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1349 | { |
---|
| 1350 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1351 | // long - short |
---|
| 1352 | BOOLEAN bo; |
---|
| 1353 | if (SR_HDL(b) & SR_INT) |
---|
| 1354 | { |
---|
| 1355 | if (a->s!=0) return FALSE; |
---|
| 1356 | number n=b; b=a; a=n; |
---|
| 1357 | } |
---|
| 1358 | // short - long |
---|
| 1359 | if (SR_HDL(a) & SR_INT) |
---|
| 1360 | { |
---|
| 1361 | if (b->s!=0) |
---|
| 1362 | return FALSE; |
---|
[a604c3] | 1363 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1364 | return FALSE; |
---|
[a604c3] | 1365 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1366 | return FALSE; |
---|
[a604c3] | 1367 | mpz_t bb; |
---|
| 1368 | mpz_init_set(bb,b->n); |
---|
| 1369 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1370 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1371 | mpz_clear(bb); |
---|
[35aab3] | 1372 | return bo; |
---|
| 1373 | } |
---|
| 1374 | // long - long |
---|
| 1375 | if (((a->s==1) && (b->s==3)) |
---|
| 1376 | || ((b->s==1) && (a->s==3))) |
---|
| 1377 | return FALSE; |
---|
[a604c3] | 1378 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1379 | return FALSE; |
---|
[a604c3] | 1380 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1381 | return FALSE; |
---|
[a604c3] | 1382 | mpz_t aa; |
---|
| 1383 | mpz_t bb; |
---|
| 1384 | mpz_init_set(aa,a->z); |
---|
| 1385 | mpz_init_set(bb,b->z); |
---|
| 1386 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1387 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1388 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1389 | mpz_clear(aa); |
---|
| 1390 | mpz_clear(bb); |
---|
[35aab3] | 1391 | return bo; |
---|
| 1392 | } |
---|
| 1393 | |
---|
| 1394 | // copy not immediate number a |
---|
[e69b7c] | 1395 | number _nlCopy_NoImm(number a) |
---|
[35aab3] | 1396 | { |
---|
| 1397 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
[e69b7c] | 1398 | //nlTest(a, r); |
---|
[896561] | 1399 | number b=ALLOC_RNUMBER(); |
---|
[35aab3] | 1400 | #if defined(LDEBUG) |
---|
| 1401 | b->debug=123456; |
---|
| 1402 | #endif |
---|
| 1403 | switch (a->s) |
---|
| 1404 | { |
---|
| 1405 | case 0: |
---|
| 1406 | case 1: |
---|
[a604c3] | 1407 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1408 | case 3: |
---|
[a604c3] | 1409 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1410 | break; |
---|
| 1411 | } |
---|
| 1412 | b->s = a->s; |
---|
| 1413 | return b; |
---|
| 1414 | } |
---|
| 1415 | |
---|
[fee4c2] | 1416 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1417 | { |
---|
| 1418 | { |
---|
| 1419 | switch ((*a)->s) |
---|
| 1420 | { |
---|
| 1421 | case 0: |
---|
| 1422 | case 1: |
---|
[a604c3] | 1423 | mpz_clear((*a)->n); |
---|
[35aab3] | 1424 | case 3: |
---|
[a604c3] | 1425 | mpz_clear((*a)->z); |
---|
[35aab3] | 1426 | #ifdef LDEBUG |
---|
| 1427 | (*a)->s=2; |
---|
| 1428 | #endif |
---|
| 1429 | } |
---|
[d663f2] | 1430 | FREE_RNUMBER(*a); // omFreeBin((void *) *a, rnumber_bin); |
---|
[35aab3] | 1431 | } |
---|
| 1432 | } |
---|
| 1433 | |
---|
[e69b7c] | 1434 | number _nlNeg_NoImm(number a) |
---|
[35aab3] | 1435 | { |
---|
| 1436 | { |
---|
[a604c3] | 1437 | mpz_neg(a->z,a->z); |
---|
[246d15] | 1438 | if (a->s==3) |
---|
[35aab3] | 1439 | { |
---|
[246d15] | 1440 | a=nlShort3(a); |
---|
[35aab3] | 1441 | } |
---|
| 1442 | } |
---|
| 1443 | return a; |
---|
| 1444 | } |
---|
| 1445 | |
---|
[e69b7c] | 1446 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1447 | { |
---|
[896561] | 1448 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1449 | #if defined(LDEBUG) |
---|
| 1450 | u->debug=123456; |
---|
| 1451 | #endif |
---|
[a604c3] | 1452 | mpz_init(u->z); |
---|
[35aab3] | 1453 | if (SR_HDL(b) & SR_INT) |
---|
| 1454 | { |
---|
| 1455 | number x=a; |
---|
| 1456 | a=b; |
---|
| 1457 | b=x; |
---|
| 1458 | } |
---|
| 1459 | if (SR_HDL(a) & SR_INT) |
---|
| 1460 | { |
---|
| 1461 | switch (b->s) |
---|
| 1462 | { |
---|
| 1463 | case 0: |
---|
| 1464 | case 1:/* a:short, b:1 */ |
---|
| 1465 | { |
---|
[a604c3] | 1466 | mpz_t x; |
---|
| 1467 | mpz_init(x); |
---|
| 1468 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1469 | mpz_add(u->z,b->z,x); |
---|
| 1470 | mpz_clear(x); |
---|
| 1471 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1472 | { |
---|
[a604c3] | 1473 | mpz_clear(u->z); |
---|
[896561] | 1474 | FREE_RNUMBER(u); |
---|
[35aab3] | 1475 | return INT_TO_SR(0); |
---|
| 1476 | } |
---|
[a604c3] | 1477 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1478 | { |
---|
[a604c3] | 1479 | mpz_clear(u->z); |
---|
[896561] | 1480 | FREE_RNUMBER(u); |
---|
[35aab3] | 1481 | return INT_TO_SR(1); |
---|
| 1482 | } |
---|
[a604c3] | 1483 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1484 | u->s = 0; |
---|
| 1485 | break; |
---|
| 1486 | } |
---|
| 1487 | case 3: |
---|
| 1488 | { |
---|
[7447d8] | 1489 | if ((long)a>0L) |
---|
[a604c3] | 1490 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1491 | else |
---|
[a604c3] | 1492 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1493 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1494 | { |
---|
[a604c3] | 1495 | mpz_clear(u->z); |
---|
[896561] | 1496 | FREE_RNUMBER(u); |
---|
[35aab3] | 1497 | return INT_TO_SR(0); |
---|
| 1498 | } |
---|
| 1499 | u->s = 3; |
---|
[246d15] | 1500 | u=nlShort3(u); |
---|
[35aab3] | 1501 | break; |
---|
| 1502 | } |
---|
| 1503 | } |
---|
| 1504 | } |
---|
| 1505 | else |
---|
| 1506 | { |
---|
| 1507 | switch (a->s) |
---|
| 1508 | { |
---|
| 1509 | case 0: |
---|
| 1510 | case 1: |
---|
| 1511 | { |
---|
| 1512 | switch(b->s) |
---|
| 1513 | { |
---|
| 1514 | case 0: |
---|
| 1515 | case 1: |
---|
| 1516 | { |
---|
[a604c3] | 1517 | mpz_t x; |
---|
| 1518 | mpz_init(x); |
---|
[e8a0aa] | 1519 | |
---|
[a604c3] | 1520 | mpz_mul(x,b->z,a->n); |
---|
| 1521 | mpz_mul(u->z,a->z,b->n); |
---|
| 1522 | mpz_add(u->z,u->z,x); |
---|
| 1523 | mpz_clear(x); |
---|
[e8a0aa] | 1524 | |
---|
[a604c3] | 1525 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1526 | { |
---|
[a604c3] | 1527 | mpz_clear(u->z); |
---|
[896561] | 1528 | FREE_RNUMBER(u); |
---|
[35aab3] | 1529 | return INT_TO_SR(0); |
---|
| 1530 | } |
---|
[a604c3] | 1531 | mpz_init(u->n); |
---|
| 1532 | mpz_mul(u->n,a->n,b->n); |
---|
| 1533 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1534 | { |
---|
[a604c3] | 1535 | mpz_clear(u->z); |
---|
| 1536 | mpz_clear(u->n); |
---|
[896561] | 1537 | FREE_RNUMBER(u); |
---|
[35aab3] | 1538 | return INT_TO_SR(1); |
---|
| 1539 | } |
---|
| 1540 | u->s = 0; |
---|
| 1541 | break; |
---|
| 1542 | } |
---|
| 1543 | case 3: /* a:1 b:3 */ |
---|
| 1544 | { |
---|
[a604c3] | 1545 | mpz_mul(u->z,b->z,a->n); |
---|
| 1546 | mpz_add(u->z,u->z,a->z); |
---|
| 1547 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1548 | { |
---|
[a604c3] | 1549 | mpz_clear(u->z); |
---|
[896561] | 1550 | FREE_RNUMBER(u); |
---|
[35aab3] | 1551 | return INT_TO_SR(0); |
---|
| 1552 | } |
---|
[a604c3] | 1553 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1554 | { |
---|
[a604c3] | 1555 | mpz_clear(u->z); |
---|
[896561] | 1556 | FREE_RNUMBER(u); |
---|
[35aab3] | 1557 | return INT_TO_SR(1); |
---|
| 1558 | } |
---|
[a604c3] | 1559 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1560 | u->s = 0; |
---|
| 1561 | break; |
---|
| 1562 | } |
---|
| 1563 | } /*switch (b->s) */ |
---|
| 1564 | break; |
---|
| 1565 | } |
---|
| 1566 | case 3: |
---|
| 1567 | { |
---|
| 1568 | switch(b->s) |
---|
| 1569 | { |
---|
| 1570 | case 0: |
---|
| 1571 | case 1:/* a:3, b:1 */ |
---|
| 1572 | { |
---|
[a604c3] | 1573 | mpz_mul(u->z,a->z,b->n); |
---|
| 1574 | mpz_add(u->z,u->z,b->z); |
---|
| 1575 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1576 | { |
---|
[a604c3] | 1577 | mpz_clear(u->z); |
---|
[896561] | 1578 | FREE_RNUMBER(u); |
---|
[35aab3] | 1579 | return INT_TO_SR(0); |
---|
| 1580 | } |
---|
[a604c3] | 1581 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1582 | { |
---|
[a604c3] | 1583 | mpz_clear(u->z); |
---|
[896561] | 1584 | FREE_RNUMBER(u); |
---|
[35aab3] | 1585 | return INT_TO_SR(1); |
---|
| 1586 | } |
---|
[a604c3] | 1587 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1588 | u->s = 0; |
---|
| 1589 | break; |
---|
| 1590 | } |
---|
| 1591 | case 3: |
---|
| 1592 | { |
---|
[a604c3] | 1593 | mpz_add(u->z,a->z,b->z); |
---|
| 1594 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1595 | { |
---|
[a604c3] | 1596 | mpz_clear(u->z); |
---|
[896561] | 1597 | FREE_RNUMBER(u); |
---|
[35aab3] | 1598 | return INT_TO_SR(0); |
---|
| 1599 | } |
---|
| 1600 | u->s = 3; |
---|
[246d15] | 1601 | u=nlShort3(u); |
---|
[35aab3] | 1602 | break; |
---|
| 1603 | } |
---|
| 1604 | } |
---|
| 1605 | break; |
---|
| 1606 | } |
---|
| 1607 | } |
---|
| 1608 | } |
---|
| 1609 | return u; |
---|
| 1610 | } |
---|
| 1611 | |
---|
[65c5f5] | 1612 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b) |
---|
| 1613 | { |
---|
| 1614 | if (SR_HDL(b) & SR_INT) |
---|
| 1615 | { |
---|
| 1616 | switch (a->s) |
---|
| 1617 | { |
---|
| 1618 | case 0: |
---|
| 1619 | case 1:/* b:short, a:1 */ |
---|
| 1620 | { |
---|
| 1621 | mpz_t x; |
---|
| 1622 | mpz_init(x); |
---|
| 1623 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1624 | mpz_add(a->z,a->z,x); |
---|
| 1625 | mpz_clear(x); |
---|
| 1626 | a->s = 0; |
---|
| 1627 | a=nlShort1(a); |
---|
| 1628 | break; |
---|
| 1629 | } |
---|
| 1630 | case 3: |
---|
| 1631 | { |
---|
| 1632 | if ((long)b>0L) |
---|
| 1633 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
| 1634 | else |
---|
| 1635 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
| 1636 | a->s = 3; |
---|
| 1637 | a=nlShort3_noinline(a); |
---|
| 1638 | break; |
---|
| 1639 | } |
---|
| 1640 | } |
---|
| 1641 | return; |
---|
| 1642 | } |
---|
| 1643 | else if (SR_HDL(a) & SR_INT) |
---|
| 1644 | { |
---|
| 1645 | number u=ALLOC_RNUMBER(); |
---|
| 1646 | #if defined(LDEBUG) |
---|
| 1647 | u->debug=123456; |
---|
| 1648 | #endif |
---|
| 1649 | mpz_init(u->z); |
---|
| 1650 | switch (b->s) |
---|
| 1651 | { |
---|
| 1652 | case 0: |
---|
| 1653 | case 1:/* a:short, b:1 */ |
---|
| 1654 | { |
---|
| 1655 | mpz_t x; |
---|
| 1656 | mpz_init(x); |
---|
| 1657 | |
---|
| 1658 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1659 | mpz_add(u->z,b->z,x); |
---|
| 1660 | mpz_clear(x); |
---|
| 1661 | // result cannot be 0, if coeffs are normalized |
---|
| 1662 | mpz_init_set(u->n,b->n); |
---|
| 1663 | u->s = 0; |
---|
| 1664 | u=nlShort1(u); |
---|
| 1665 | break; |
---|
| 1666 | } |
---|
| 1667 | case 3: |
---|
| 1668 | { |
---|
| 1669 | if ((long)a>0L) |
---|
| 1670 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1671 | else |
---|
| 1672 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1673 | // result cannot be 0, if coeffs are normalized |
---|
| 1674 | u->s = 3; |
---|
| 1675 | u=nlShort3_noinline(u); |
---|
| 1676 | break; |
---|
| 1677 | } |
---|
| 1678 | } |
---|
| 1679 | a=u; |
---|
| 1680 | } |
---|
| 1681 | else |
---|
| 1682 | { |
---|
| 1683 | switch (a->s) |
---|
| 1684 | { |
---|
| 1685 | case 0: |
---|
| 1686 | case 1: |
---|
| 1687 | { |
---|
| 1688 | switch(b->s) |
---|
| 1689 | { |
---|
| 1690 | case 0: |
---|
| 1691 | case 1: /* a:1 b:1 */ |
---|
| 1692 | { |
---|
| 1693 | mpz_t x; |
---|
| 1694 | mpz_t y; |
---|
| 1695 | mpz_init(x); |
---|
| 1696 | mpz_init(y); |
---|
| 1697 | mpz_mul(x,b->z,a->n); |
---|
| 1698 | mpz_mul(y,a->z,b->n); |
---|
| 1699 | mpz_add(a->z,x,y); |
---|
| 1700 | mpz_clear(x); |
---|
| 1701 | mpz_clear(y); |
---|
| 1702 | mpz_mul(a->n,a->n,b->n); |
---|
| 1703 | a->s = 0; |
---|
| 1704 | break; |
---|
| 1705 | } |
---|
| 1706 | case 3: /* a:1 b:3 */ |
---|
| 1707 | { |
---|
| 1708 | mpz_t x; |
---|
| 1709 | mpz_init(x); |
---|
| 1710 | mpz_mul(x,b->z,a->n); |
---|
| 1711 | mpz_add(a->z,a->z,x); |
---|
| 1712 | mpz_clear(x); |
---|
| 1713 | a->s = 0; |
---|
| 1714 | break; |
---|
| 1715 | } |
---|
| 1716 | } /*switch (b->s) */ |
---|
| 1717 | a=nlShort1(a); |
---|
| 1718 | break; |
---|
| 1719 | } |
---|
| 1720 | case 3: |
---|
| 1721 | { |
---|
| 1722 | switch(b->s) |
---|
| 1723 | { |
---|
| 1724 | case 0: |
---|
| 1725 | case 1:/* a:3, b:1 */ |
---|
| 1726 | { |
---|
| 1727 | mpz_t x; |
---|
| 1728 | mpz_init(x); |
---|
| 1729 | mpz_mul(x,a->z,b->n); |
---|
| 1730 | mpz_add(a->z,b->z,x); |
---|
| 1731 | mpz_clear(x); |
---|
| 1732 | mpz_init_set(a->n,b->n); |
---|
| 1733 | a->s = 0; |
---|
| 1734 | a=nlShort1(a); |
---|
| 1735 | break; |
---|
| 1736 | } |
---|
| 1737 | case 3: |
---|
| 1738 | { |
---|
| 1739 | mpz_add(a->z,a->z,b->z); |
---|
| 1740 | a->s = 3; |
---|
| 1741 | a=nlShort3_noinline(a); |
---|
| 1742 | break; |
---|
| 1743 | } |
---|
| 1744 | } |
---|
| 1745 | break; |
---|
| 1746 | } |
---|
| 1747 | } |
---|
| 1748 | } |
---|
| 1749 | } |
---|
| 1750 | |
---|
[e69b7c] | 1751 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1752 | { |
---|
[896561] | 1753 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1754 | #if defined(LDEBUG) |
---|
| 1755 | u->debug=123456; |
---|
| 1756 | #endif |
---|
[a604c3] | 1757 | mpz_init(u->z); |
---|
[35aab3] | 1758 | if (SR_HDL(a) & SR_INT) |
---|
| 1759 | { |
---|
| 1760 | switch (b->s) |
---|
| 1761 | { |
---|
| 1762 | case 0: |
---|
| 1763 | case 1:/* a:short, b:1 */ |
---|
| 1764 | { |
---|
[a604c3] | 1765 | mpz_t x; |
---|
| 1766 | mpz_init(x); |
---|
| 1767 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1768 | mpz_sub(u->z,x,b->z); |
---|
| 1769 | mpz_clear(x); |
---|
| 1770 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1771 | { |
---|
[a604c3] | 1772 | mpz_clear(u->z); |
---|
[896561] | 1773 | FREE_RNUMBER(u); |
---|
[35aab3] | 1774 | return INT_TO_SR(0); |
---|
| 1775 | } |
---|
[a604c3] | 1776 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1777 | { |
---|
[a604c3] | 1778 | mpz_clear(u->z); |
---|
[896561] | 1779 | FREE_RNUMBER(u); |
---|
[35aab3] | 1780 | return INT_TO_SR(1); |
---|
| 1781 | } |
---|
[a604c3] | 1782 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1783 | u->s = 0; |
---|
| 1784 | break; |
---|
| 1785 | } |
---|
| 1786 | case 3: |
---|
| 1787 | { |
---|
[7447d8] | 1788 | if ((long)a>0L) |
---|
[35aab3] | 1789 | { |
---|
[a604c3] | 1790 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1791 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1792 | } |
---|
| 1793 | else |
---|
| 1794 | { |
---|
[a604c3] | 1795 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1796 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1797 | } |
---|
[a604c3] | 1798 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1799 | { |
---|
[a604c3] | 1800 | mpz_clear(u->z); |
---|
[896561] | 1801 | FREE_RNUMBER(u); |
---|
[35aab3] | 1802 | return INT_TO_SR(0); |
---|
| 1803 | } |
---|
| 1804 | u->s = 3; |
---|
[246d15] | 1805 | u=nlShort3(u); |
---|
[35aab3] | 1806 | break; |
---|
| 1807 | } |
---|
| 1808 | } |
---|
| 1809 | } |
---|
| 1810 | else if (SR_HDL(b) & SR_INT) |
---|
| 1811 | { |
---|
| 1812 | switch (a->s) |
---|
| 1813 | { |
---|
| 1814 | case 0: |
---|
| 1815 | case 1:/* b:short, a:1 */ |
---|
| 1816 | { |
---|
[a604c3] | 1817 | mpz_t x; |
---|
| 1818 | mpz_init(x); |
---|
| 1819 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1820 | mpz_sub(u->z,a->z,x); |
---|
| 1821 | mpz_clear(x); |
---|
| 1822 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1823 | { |
---|
[a604c3] | 1824 | mpz_clear(u->z); |
---|
[896561] | 1825 | FREE_RNUMBER(u); |
---|
[35aab3] | 1826 | return INT_TO_SR(0); |
---|
| 1827 | } |
---|
[a604c3] | 1828 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1829 | { |
---|
[a604c3] | 1830 | mpz_clear(u->z); |
---|
[896561] | 1831 | FREE_RNUMBER(u); |
---|
[35aab3] | 1832 | return INT_TO_SR(1); |
---|
| 1833 | } |
---|
[a604c3] | 1834 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1835 | u->s = 0; |
---|
| 1836 | break; |
---|
| 1837 | } |
---|
| 1838 | case 3: |
---|
| 1839 | { |
---|
[7447d8] | 1840 | if ((long)b>0L) |
---|
[35aab3] | 1841 | { |
---|
[a604c3] | 1842 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1843 | } |
---|
| 1844 | else |
---|
| 1845 | { |
---|
[a604c3] | 1846 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1847 | } |
---|
[a604c3] | 1848 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1849 | { |
---|
[a604c3] | 1850 | mpz_clear(u->z); |
---|
[896561] | 1851 | FREE_RNUMBER(u); |
---|
[35aab3] | 1852 | return INT_TO_SR(0); |
---|
| 1853 | } |
---|
| 1854 | u->s = 3; |
---|
[246d15] | 1855 | u=nlShort3(u); |
---|
[35aab3] | 1856 | break; |
---|
| 1857 | } |
---|
| 1858 | } |
---|
| 1859 | } |
---|
| 1860 | else |
---|
| 1861 | { |
---|
| 1862 | switch (a->s) |
---|
| 1863 | { |
---|
| 1864 | case 0: |
---|
| 1865 | case 1: |
---|
| 1866 | { |
---|
| 1867 | switch(b->s) |
---|
| 1868 | { |
---|
| 1869 | case 0: |
---|
| 1870 | case 1: |
---|
| 1871 | { |
---|
[a604c3] | 1872 | mpz_t x; |
---|
| 1873 | mpz_t y; |
---|
| 1874 | mpz_init(x); |
---|
| 1875 | mpz_init(y); |
---|
| 1876 | mpz_mul(x,b->z,a->n); |
---|
| 1877 | mpz_mul(y,a->z,b->n); |
---|
| 1878 | mpz_sub(u->z,y,x); |
---|
| 1879 | mpz_clear(x); |
---|
| 1880 | mpz_clear(y); |
---|
| 1881 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1882 | { |
---|
[a604c3] | 1883 | mpz_clear(u->z); |
---|
[896561] | 1884 | FREE_RNUMBER(u); |
---|
[35aab3] | 1885 | return INT_TO_SR(0); |
---|
| 1886 | } |
---|
[a604c3] | 1887 | mpz_init(u->n); |
---|
| 1888 | mpz_mul(u->n,a->n,b->n); |
---|
| 1889 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1890 | { |
---|
[a604c3] | 1891 | mpz_clear(u->z); |
---|
| 1892 | mpz_clear(u->n); |
---|
[896561] | 1893 | FREE_RNUMBER(u); |
---|
[35aab3] | 1894 | return INT_TO_SR(1); |
---|
| 1895 | } |
---|
| 1896 | u->s = 0; |
---|
| 1897 | break; |
---|
| 1898 | } |
---|
| 1899 | case 3: /* a:1, b:3 */ |
---|
| 1900 | { |
---|
[a604c3] | 1901 | mpz_t x; |
---|
| 1902 | mpz_init(x); |
---|
| 1903 | mpz_mul(x,b->z,a->n); |
---|
| 1904 | mpz_sub(u->z,a->z,x); |
---|
| 1905 | mpz_clear(x); |
---|
| 1906 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1907 | { |
---|
[a604c3] | 1908 | mpz_clear(u->z); |
---|
[896561] | 1909 | FREE_RNUMBER(u); |
---|
[35aab3] | 1910 | return INT_TO_SR(0); |
---|
| 1911 | } |
---|
[a604c3] | 1912 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1913 | { |
---|
[a604c3] | 1914 | mpz_clear(u->z); |
---|
[896561] | 1915 | FREE_RNUMBER(u); |
---|
[35aab3] | 1916 | return INT_TO_SR(1); |
---|
| 1917 | } |
---|
[a604c3] | 1918 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1919 | u->s = 0; |
---|
| 1920 | break; |
---|
| 1921 | } |
---|
| 1922 | } |
---|
| 1923 | break; |
---|
| 1924 | } |
---|
| 1925 | case 3: |
---|
| 1926 | { |
---|
| 1927 | switch(b->s) |
---|
| 1928 | { |
---|
| 1929 | case 0: |
---|
| 1930 | case 1: /* a:3, b:1 */ |
---|
| 1931 | { |
---|
[a604c3] | 1932 | mpz_t x; |
---|
| 1933 | mpz_init(x); |
---|
| 1934 | mpz_mul(x,a->z,b->n); |
---|
| 1935 | mpz_sub(u->z,x,b->z); |
---|
| 1936 | mpz_clear(x); |
---|
| 1937 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1938 | { |
---|
[a604c3] | 1939 | mpz_clear(u->z); |
---|
[896561] | 1940 | FREE_RNUMBER(u); |
---|
[35aab3] | 1941 | return INT_TO_SR(0); |
---|
| 1942 | } |
---|
[a604c3] | 1943 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1944 | { |
---|
[a604c3] | 1945 | mpz_clear(u->z); |
---|
[896561] | 1946 | FREE_RNUMBER(u); |
---|
[35aab3] | 1947 | return INT_TO_SR(1); |
---|
| 1948 | } |
---|
[a604c3] | 1949 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1950 | u->s = 0; |
---|
| 1951 | break; |
---|
| 1952 | } |
---|
| 1953 | case 3: /* a:3 , b:3 */ |
---|
| 1954 | { |
---|
[a604c3] | 1955 | mpz_sub(u->z,a->z,b->z); |
---|
| 1956 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1957 | { |
---|
[a604c3] | 1958 | mpz_clear(u->z); |
---|
[896561] | 1959 | FREE_RNUMBER(u); |
---|
[35aab3] | 1960 | return INT_TO_SR(0); |
---|
| 1961 | } |
---|
| 1962 | u->s = 3; |
---|
[246d15] | 1963 | u=nlShort3(u); |
---|
[35aab3] | 1964 | break; |
---|
| 1965 | } |
---|
| 1966 | } |
---|
| 1967 | break; |
---|
| 1968 | } |
---|
| 1969 | } |
---|
| 1970 | } |
---|
| 1971 | return u; |
---|
| 1972 | } |
---|
| 1973 | |
---|
| 1974 | // a and b are intermediate, but a*b not |
---|
[e69b7c] | 1975 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
[35aab3] | 1976 | { |
---|
[896561] | 1977 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1978 | #if defined(LDEBUG) |
---|
| 1979 | u->debug=123456; |
---|
| 1980 | #endif |
---|
| 1981 | u->s=3; |
---|
[246d15] | 1982 | mpz_init_set_si(u->z,SR_TO_INT(a)); |
---|
| 1983 | mpz_mul_si(u->z,u->z,SR_TO_INT(b)); |
---|
[35aab3] | 1984 | return u; |
---|
| 1985 | } |
---|
| 1986 | |
---|
| 1987 | // a or b are not immediate |
---|
[e69b7c] | 1988 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1989 | { |
---|
| 1990 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
[896561] | 1991 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1992 | #if defined(LDEBUG) |
---|
| 1993 | u->debug=123456; |
---|
| 1994 | #endif |
---|
[a604c3] | 1995 | mpz_init(u->z); |
---|
[35aab3] | 1996 | if (SR_HDL(b) & SR_INT) |
---|
| 1997 | { |
---|
| 1998 | number x=a; |
---|
| 1999 | a=b; |
---|
| 2000 | b=x; |
---|
| 2001 | } |
---|
| 2002 | if (SR_HDL(a) & SR_INT) |
---|
| 2003 | { |
---|
| 2004 | u->s=b->s; |
---|
| 2005 | if (u->s==1) u->s=0; |
---|
[7447d8] | 2006 | if ((long)a>0L) |
---|
[35aab3] | 2007 | { |
---|
[a604c3] | 2008 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 2009 | } |
---|
| 2010 | else |
---|
| 2011 | { |
---|
| 2012 | if (a==INT_TO_SR(-1)) |
---|
| 2013 | { |
---|
[a604c3] | 2014 | mpz_set(u->z,b->z); |
---|
| 2015 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2016 | u->s=b->s; |
---|
| 2017 | } |
---|
| 2018 | else |
---|
| 2019 | { |
---|
[a604c3] | 2020 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 2021 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2022 | } |
---|
| 2023 | } |
---|
| 2024 | if (u->s<2) |
---|
| 2025 | { |
---|
[a604c3] | 2026 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2027 | { |
---|
[a604c3] | 2028 | mpz_clear(u->z); |
---|
[896561] | 2029 | FREE_RNUMBER(u); |
---|
[35aab3] | 2030 | return INT_TO_SR(1); |
---|
| 2031 | } |
---|
[a604c3] | 2032 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2033 | } |
---|
| 2034 | else //u->s==3 |
---|
| 2035 | { |
---|
[246d15] | 2036 | u=nlShort3(u); |
---|
[35aab3] | 2037 | } |
---|
| 2038 | } |
---|
| 2039 | else |
---|
| 2040 | { |
---|
[a604c3] | 2041 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 2042 | u->s = 0; |
---|
| 2043 | if(a->s==3) |
---|
| 2044 | { |
---|
| 2045 | if(b->s==3) |
---|
| 2046 | { |
---|
| 2047 | u->s = 3; |
---|
| 2048 | } |
---|
| 2049 | else |
---|
| 2050 | { |
---|
[a604c3] | 2051 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2052 | { |
---|
[a604c3] | 2053 | mpz_clear(u->z); |
---|
[896561] | 2054 | FREE_RNUMBER(u); |
---|
[35aab3] | 2055 | return INT_TO_SR(1); |
---|
| 2056 | } |
---|
[a604c3] | 2057 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2058 | } |
---|
| 2059 | } |
---|
| 2060 | else |
---|
| 2061 | { |
---|
| 2062 | if(b->s==3) |
---|
| 2063 | { |
---|
[a604c3] | 2064 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 2065 | { |
---|
[a604c3] | 2066 | mpz_clear(u->z); |
---|
[896561] | 2067 | FREE_RNUMBER(u); |
---|
[35aab3] | 2068 | return INT_TO_SR(1); |
---|
| 2069 | } |
---|
[a604c3] | 2070 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 2071 | } |
---|
| 2072 | else |
---|
| 2073 | { |
---|
[a604c3] | 2074 | mpz_init(u->n); |
---|
| 2075 | mpz_mul(u->n,a->n,b->n); |
---|
| 2076 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 2077 | { |
---|
[a604c3] | 2078 | mpz_clear(u->z); |
---|
| 2079 | mpz_clear(u->n); |
---|
[896561] | 2080 | FREE_RNUMBER(u); |
---|
[35aab3] | 2081 | return INT_TO_SR(1); |
---|
| 2082 | } |
---|
| 2083 | } |
---|
| 2084 | } |
---|
| 2085 | } |
---|
| 2086 | return u; |
---|
| 2087 | } |
---|
| 2088 | |
---|
[371bc5f] | 2089 | /*2 |
---|
[fa31d2] | 2090 | * copy a to b for mapping |
---|
[371bc5f] | 2091 | */ |
---|
[fa31d2] | 2092 | number nlCopyMap(number a, const coeffs src, const coeffs dst) |
---|
[371bc5f] | 2093 | { |
---|
[fa31d2] | 2094 | assume( getCoeffType(dst) == ID ); |
---|
| 2095 | assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2096 | |
---|
[371bc5f] | 2097 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2098 | { |
---|
| 2099 | return a; |
---|
| 2100 | } |
---|
[e69b7c] | 2101 | return _nlCopy_NoImm(a); |
---|
[371bc5f] | 2102 | } |
---|
[2b957a] | 2103 | |
---|
[371bc5f] | 2104 | nMapFunc nlSetMap(const coeffs src, const coeffs dst) |
---|
| 2105 | { |
---|
[fa31d2] | 2106 | assume( getCoeffType(dst) == ID ); |
---|
[2b957a] | 2107 | // assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2108 | |
---|
[1cce47] | 2109 | if (nCoeff_is_Q(src)) |
---|
[371bc5f] | 2110 | { |
---|
[c14846c] | 2111 | return ndCopyMap; |
---|
[371bc5f] | 2112 | } |
---|
[1cce47] | 2113 | if (nCoeff_is_Zp(src)) |
---|
[371bc5f] | 2114 | { |
---|
| 2115 | return nlMapP; |
---|
| 2116 | } |
---|
[1cce47] | 2117 | if (nCoeff_is_R(src)) |
---|
[371bc5f] | 2118 | { |
---|
| 2119 | return nlMapR; |
---|
| 2120 | } |
---|
[1cce47] | 2121 | if (nCoeff_is_long_R(src)) |
---|
[371bc5f] | 2122 | { |
---|
| 2123 | return nlMapLongR; /* long R -> Q */ |
---|
| 2124 | } |
---|
| 2125 | #ifdef HAVE_RINGS |
---|
[1cce47] | 2126 | if (nCoeff_is_Ring_Z(src) || nCoeff_is_Ring_PtoM(src) || nCoeff_is_Ring_ModN(src)) |
---|
[371bc5f] | 2127 | { |
---|
| 2128 | return nlMapGMP; |
---|
| 2129 | } |
---|
[1cce47] | 2130 | if (nCoeff_is_Ring_2toM(src)) |
---|
[371bc5f] | 2131 | { |
---|
| 2132 | return nlMapMachineInt; |
---|
| 2133 | } |
---|
| 2134 | #endif |
---|
| 2135 | return NULL; |
---|
| 2136 | } |
---|
[35aab3] | 2137 | /*2 |
---|
| 2138 | * z := i |
---|
| 2139 | */ |
---|
[246d15] | 2140 | number nlRInit (long i) |
---|
[35aab3] | 2141 | { |
---|
[896561] | 2142 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2143 | #if defined(LDEBUG) |
---|
| 2144 | z->debug=123456; |
---|
| 2145 | #endif |
---|
[246d15] | 2146 | mpz_init_set_si(z->z,i); |
---|
[35aab3] | 2147 | z->s = 3; |
---|
| 2148 | return z; |
---|
| 2149 | } |
---|
| 2150 | |
---|
| 2151 | /*2 |
---|
| 2152 | * z := i/j |
---|
| 2153 | */ |
---|
[a642c64] | 2154 | number nlInit2 (int i, int j, const coeffs r) |
---|
[35aab3] | 2155 | { |
---|
[896561] | 2156 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2157 | #if defined(LDEBUG) |
---|
| 2158 | z->debug=123456; |
---|
| 2159 | #endif |
---|
[a604c3] | 2160 | mpz_init_set_si(z->z,(long)i); |
---|
| 2161 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 2162 | z->s = 0; |
---|
[a642c64] | 2163 | nlNormalize(z,r); |
---|
[35aab3] | 2164 | return z; |
---|
| 2165 | } |
---|
| 2166 | |
---|
[a642c64] | 2167 | number nlInit2gmp (mpz_t i, mpz_t j, const coeffs r) |
---|
[a1ab2a] | 2168 | { |
---|
[896561] | 2169 | number z=ALLOC_RNUMBER(); |
---|
[a1ab2a] | 2170 | #if defined(LDEBUG) |
---|
| 2171 | z->debug=123456; |
---|
| 2172 | #endif |
---|
[a604c3] | 2173 | mpz_init_set(z->z,i); |
---|
| 2174 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 2175 | z->s = 0; |
---|
[a642c64] | 2176 | nlNormalize(z,r); |
---|
[a1ab2a] | 2177 | return z; |
---|
| 2178 | } |
---|
| 2179 | |
---|
[35aab3] | 2180 | #else // DO_LINLINE |
---|
| 2181 | |
---|
| 2182 | // declare immedate routines |
---|
[2f3764] | 2183 | number nlRInit (long i); |
---|
[35aab3] | 2184 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2185 | number _nlCopy_NoImm(number a); |
---|
| 2186 | number _nlNeg_NoImm(number a); |
---|
| 2187 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
[65c5f5] | 2188 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b); |
---|
[35aab3] | 2189 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2190 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2191 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 2192 | |
---|
| 2193 | #endif |
---|
| 2194 | |
---|
| 2195 | /*************************************************************** |
---|
| 2196 | * |
---|
| 2197 | * Routines which might be inlined by p_Numbers.h |
---|
| 2198 | * |
---|
| 2199 | *******************************************************************/ |
---|
| 2200 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 2201 | |
---|
| 2202 | // routines which are always inlined/static |
---|
| 2203 | |
---|
| 2204 | /*2 |
---|
| 2205 | * a = b ? |
---|
| 2206 | */ |
---|
[2b957a] | 2207 | LINLINE BOOLEAN nlEqual (number a, number b, const coeffs r) |
---|
[35aab3] | 2208 | { |
---|
[2b957a] | 2209 | nlTest(a, r); |
---|
| 2210 | nlTest(b, r); |
---|
[35aab3] | 2211 | // short - short |
---|
| 2212 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 2213 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 2214 | } |
---|
| 2215 | |
---|
[2f3764] | 2216 | LINLINE number nlInit (long i, const coeffs r) |
---|
[35aab3] | 2217 | { |
---|
| 2218 | number n; |
---|
[246d15] | 2219 | LONG ii=(LONG)i; |
---|
| 2220 | if ( ((ii << 3) >> 3) == ii ) n=INT_TO_SR(ii); |
---|
| 2221 | else n=nlRInit(ii); |
---|
[2b957a] | 2222 | nlTest(n, r); |
---|
[35aab3] | 2223 | return n; |
---|
| 2224 | } |
---|
| 2225 | |
---|
| 2226 | /*2 |
---|
| 2227 | * a == 1 ? |
---|
| 2228 | */ |
---|
[2b957a] | 2229 | LINLINE BOOLEAN nlIsOne (number a, const coeffs r) |
---|
[35aab3] | 2230 | { |
---|
| 2231 | #ifdef LDEBUG |
---|
| 2232 | if (a==NULL) return FALSE; |
---|
[2b957a] | 2233 | nlTest(a, r); |
---|
[35aab3] | 2234 | #endif |
---|
[89ca47] | 2235 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 2236 | } |
---|
| 2237 | |
---|
[121fd9] | 2238 | LINLINE BOOLEAN nlIsZero (number a, const coeffs) |
---|
[35aab3] | 2239 | { |
---|
[cc3240c] | 2240 | #if 0 |
---|
| 2241 | if (a==INT_TO_SR(0)) return TRUE; |
---|
| 2242 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) return FALSE; |
---|
| 2243 | if (mpz_cmp_si(a->z,(long)0)==0) |
---|
| 2244 | { |
---|
| 2245 | printf("gmp-0 in nlIsZero\n"); |
---|
| 2246 | dErrorBreak(); |
---|
| 2247 | return TRUE; |
---|
| 2248 | } |
---|
| 2249 | return FALSE; |
---|
| 2250 | #else |
---|
[35aab3] | 2251 | return (a==INT_TO_SR(0)); |
---|
[cc3240c] | 2252 | #endif |
---|
[35aab3] | 2253 | } |
---|
| 2254 | |
---|
| 2255 | /*2 |
---|
| 2256 | * copy a to b |
---|
| 2257 | */ |
---|
[121fd9] | 2258 | LINLINE number nlCopy(number a, const coeffs) |
---|
[35aab3] | 2259 | { |
---|
| 2260 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2261 | { |
---|
| 2262 | return a; |
---|
| 2263 | } |
---|
[e69b7c] | 2264 | return _nlCopy_NoImm(a); |
---|
[35aab3] | 2265 | } |
---|
| 2266 | |
---|
| 2267 | |
---|
| 2268 | /*2 |
---|
| 2269 | * delete a |
---|
| 2270 | */ |
---|
[a642c64] | 2271 | LINLINE void nlDelete (number * a, const coeffs r) |
---|
[35aab3] | 2272 | { |
---|
| 2273 | if (*a!=NULL) |
---|
| 2274 | { |
---|
[2b957a] | 2275 | nlTest(*a, r); |
---|
[35aab3] | 2276 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2277 | { |
---|
[fee4c2] | 2278 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2279 | } |
---|
| 2280 | *a=NULL; |
---|
| 2281 | } |
---|
| 2282 | } |
---|
| 2283 | |
---|
| 2284 | /*2 |
---|
| 2285 | * za:= - za |
---|
| 2286 | */ |
---|
[e69b7c] | 2287 | LINLINE number nlNeg (number a, const coeffs R) |
---|
[35aab3] | 2288 | { |
---|
[e69b7c] | 2289 | nlTest(a, R); |
---|
[35aab3] | 2290 | if(SR_HDL(a) &SR_INT) |
---|
| 2291 | { |
---|
[135e78] | 2292 | LONG r=SR_TO_INT(a); |
---|
[246d15] | 2293 | if (r==(-(POW_2_28))) a=nlRInit(POW_2_28); |
---|
[35aab3] | 2294 | else a=INT_TO_SR(-r); |
---|
| 2295 | return a; |
---|
| 2296 | } |
---|
[630ca9] | 2297 | a = _nlNeg_NoImm(a); |
---|
| 2298 | nlTest(a, R); |
---|
| 2299 | return a; |
---|
| 2300 | |
---|
[35aab3] | 2301 | } |
---|
| 2302 | |
---|
| 2303 | /*2 |
---|
| 2304 | * u:= a + b |
---|
| 2305 | */ |
---|
[e69b7c] | 2306 | LINLINE number nlAdd (number a, number b, const coeffs R) |
---|
[35aab3] | 2307 | { |
---|
| 2308 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2309 | { |
---|
[246d15] | 2310 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[35aab3] | 2311 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2312 | return (number)(long)r; |
---|
[35aab3] | 2313 | else |
---|
| 2314 | return nlRInit(SR_TO_INT(r)); |
---|
| 2315 | } |
---|
[630ca9] | 2316 | number u = _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2317 | nlTest(u, R); |
---|
| 2318 | return u; |
---|
[35aab3] | 2319 | } |
---|
| 2320 | |
---|
[18057e] | 2321 | number nlShort1(number a); |
---|
[246d15] | 2322 | number nlShort3_noinline(number x); |
---|
[e8a0aa] | 2323 | |
---|
[cc3240c] | 2324 | LINLINE void nlInpAdd(number &a, number b, const coeffs r) |
---|
[e8a0aa] | 2325 | { |
---|
[65c5f5] | 2326 | // a=a+b |
---|
[e8a0aa] | 2327 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2328 | { |
---|
[246d15] | 2329 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[e8a0aa] | 2330 | if ( ((r << 1) >> 1) == r ) |
---|
[cc3240c] | 2331 | a=(number)(long)r; |
---|
[e8a0aa] | 2332 | else |
---|
[cc3240c] | 2333 | a=nlRInit(SR_TO_INT(r)); |
---|
[e8a0aa] | 2334 | } |
---|
| 2335 | else |
---|
| 2336 | { |
---|
[65c5f5] | 2337 | _nlInpAdd_aNoImm_OR_bNoImm(a,b); |
---|
| 2338 | nlTest(a,r); |
---|
[e8a0aa] | 2339 | } |
---|
| 2340 | } |
---|
| 2341 | |
---|
[7dc3e1c] | 2342 | LINLINE number nlMult (number a, number b, const coeffs R) |
---|
[35aab3] | 2343 | { |
---|
[2b957a] | 2344 | nlTest(a, R); |
---|
| 2345 | nlTest(b, R); |
---|
[35aab3] | 2346 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2347 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2348 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2349 | { |
---|
[12777c] | 2350 | LONG r=(LONG)((unsigned LONG)(SR_HDL(a)-1L))*((unsigned LONG)(SR_HDL(b)>>1)); |
---|
[246d15] | 2351 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1L)) |
---|
[35aab3] | 2352 | { |
---|
| 2353 | number u=((number) ((r>>1)+SR_INT)); |
---|
[246d15] | 2354 | if (((((LONG)SR_HDL(u))<<1)>>1)==SR_HDL(u)) return (u); |
---|
[35aab3] | 2355 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2356 | } |
---|
[630ca9] | 2357 | number u = _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2358 | nlTest(u, R); |
---|
| 2359 | return u; |
---|
[9bb5457] | 2360 | |
---|
[35aab3] | 2361 | } |
---|
[630ca9] | 2362 | number u = _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2363 | nlTest(u, R); |
---|
| 2364 | return u; |
---|
[9bb5457] | 2365 | |
---|
[35aab3] | 2366 | } |
---|
| 2367 | |
---|
| 2368 | |
---|
| 2369 | /*2 |
---|
| 2370 | * u:= a - b |
---|
| 2371 | */ |
---|
[a642c64] | 2372 | LINLINE number nlSub (number a, number b, const coeffs r) |
---|
[35aab3] | 2373 | { |
---|
| 2374 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2375 | { |
---|
[246d15] | 2376 | LONG r=SR_HDL(a)-SR_HDL(b)+1; |
---|
[35aab3] | 2377 | if ( ((r << 1) >> 1) == r ) |
---|
| 2378 | { |
---|
[246d15] | 2379 | return (number)(long)r; |
---|
[35aab3] | 2380 | } |
---|
| 2381 | else |
---|
| 2382 | return nlRInit(SR_TO_INT(r)); |
---|
| 2383 | } |
---|
[630ca9] | 2384 | number u = _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2385 | nlTest(u, r); |
---|
| 2386 | return u; |
---|
[9bb5457] | 2387 | |
---|
[35aab3] | 2388 | } |
---|
| 2389 | |
---|
[a642c64] | 2390 | LINLINE void nlInpMult(number &a, number b, const coeffs r) |
---|
[4e35a89] | 2391 | { |
---|
[896561] | 2392 | number aa=a; |
---|
| 2393 | if (((SR_HDL(b)|SR_HDL(aa))&SR_INT)) |
---|
[4e35a89] | 2394 | { |
---|
[a642c64] | 2395 | number n=nlMult(aa,b,r); |
---|
[4e35a89] | 2396 | nlDelete(&a,r); |
---|
| 2397 | a=n; |
---|
| 2398 | } |
---|
| 2399 | else |
---|
| 2400 | { |
---|
[896561] | 2401 | mpz_mul(aa->z,a->z,b->z); |
---|
| 2402 | if (aa->s==3) |
---|
[4e35a89] | 2403 | { |
---|
| 2404 | if(b->s!=3) |
---|
| 2405 | { |
---|
| 2406 | mpz_init_set(a->n,b->n); |
---|
| 2407 | a->s=0; |
---|
| 2408 | } |
---|
| 2409 | } |
---|
| 2410 | else |
---|
| 2411 | { |
---|
| 2412 | if(b->s!=3) |
---|
| 2413 | { |
---|
| 2414 | mpz_mul(a->n,a->n,b->n); |
---|
| 2415 | } |
---|
| 2416 | a->s=0; |
---|
| 2417 | } |
---|
| 2418 | } |
---|
| 2419 | } |
---|
[35aab3] | 2420 | #endif // DO_LINLINE |
---|
| 2421 | |
---|
| 2422 | #ifndef P_NUMBERS_H |
---|
| 2423 | |
---|
[d663f2] | 2424 | static void nlMPZ(mpz_t m, number &n, const coeffs r) |
---|
| 2425 | { |
---|
| 2426 | assume( getCoeffType(r) == ID ); |
---|
[e11ed0] | 2427 | |
---|
[d663f2] | 2428 | nlTest(n, r); |
---|
| 2429 | nlNormalize(n, r); |
---|
| 2430 | if (SR_HDL(n) & SR_INT) mpz_init_set_si(m, SR_TO_INT(n)); /* n fits in an int */ |
---|
| 2431 | else mpz_init_set(m, (mpz_ptr)n->z); |
---|
| 2432 | } |
---|
| 2433 | |
---|
| 2434 | |
---|
[2d2e40] | 2435 | static number nlInitMPZ(mpz_t m, const coeffs) |
---|
[d663f2] | 2436 | { |
---|
| 2437 | number z = ALLOC_RNUMBER(); |
---|
| 2438 | mpz_init_set(z->z, m); |
---|
| 2439 | mpz_init_set_ui(z->n, 1); |
---|
| 2440 | z->s = 3; |
---|
[e11ed0] | 2441 | return z; |
---|
[d663f2] | 2442 | } |
---|
| 2443 | |
---|
| 2444 | |
---|
[a642c64] | 2445 | void nlInpGcd(number &a, number b, const coeffs r) |
---|
[35aab3] | 2446 | { |
---|
| 2447 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2448 | { |
---|
| 2449 | number n=nlGcd(a,b,r); |
---|
| 2450 | nlDelete(&a,r); |
---|
| 2451 | a=n; |
---|
| 2452 | } |
---|
| 2453 | else |
---|
| 2454 | { |
---|
[a604c3] | 2455 | mpz_gcd(a->z,a->z,b->z); |
---|
[246d15] | 2456 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2457 | } |
---|
| 2458 | } |
---|
[f59722] | 2459 | |
---|
[a642c64] | 2460 | void nlInpIntDiv(number &a, number b, const coeffs r) |
---|
[35aab3] | 2461 | { |
---|
| 2462 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2463 | { |
---|
[2b957a] | 2464 | number n=nlIntDiv(a,b, r); |
---|
[35aab3] | 2465 | nlDelete(&a,r); |
---|
| 2466 | a=n; |
---|
| 2467 | } |
---|
| 2468 | else |
---|
| 2469 | { |
---|
[a604c3] | 2470 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2471 | { |
---|
[a604c3] | 2472 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2473 | { |
---|
[a604c3] | 2474 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2475 | } |
---|
| 2476 | else |
---|
| 2477 | { |
---|
[a604c3] | 2478 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2479 | } |
---|
[a604c3] | 2480 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2481 | } |
---|
| 2482 | else |
---|
| 2483 | { |
---|
[a604c3] | 2484 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2485 | { |
---|
[a604c3] | 2486 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2487 | } |
---|
| 2488 | else |
---|
| 2489 | { |
---|
[a604c3] | 2490 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2491 | } |
---|
[a604c3] | 2492 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2493 | } |
---|
[a604c3] | 2494 | MPZ_DIV(a->z,a->z,b->z); |
---|
[246d15] | 2495 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2496 | } |
---|
| 2497 | } |
---|
| 2498 | |
---|
[a642c64] | 2499 | number nlFarey(number nN, number nP, const coeffs r) |
---|
[3149a5] | 2500 | { |
---|
[a604c3] | 2501 | mpz_t tmp; mpz_init(tmp); |
---|
| 2502 | mpz_t A,B,C,D,E,N,P; |
---|
| 2503 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2504 | else mpz_init_set(N,nN->z); |
---|
| 2505 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2506 | else mpz_init_set(P,nP->z); |
---|
| 2507 | assume(!mpz_isNeg(P)); |
---|
| 2508 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2509 | mpz_init_set_si(A,(long)0); |
---|
| 2510 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2511 | mpz_init_set_si(C,(long)0); |
---|
| 2512 | mpz_init(D); |
---|
| 2513 | mpz_init_set(E,P); |
---|
[3149a5] | 2514 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2515 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2516 | { |
---|
[a604c3] | 2517 | mpz_mul(tmp,N,N); |
---|
| 2518 | mpz_add(tmp,tmp,tmp); |
---|
| 2519 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2520 | { |
---|
[a604c3] | 2521 | if (mpz_isNeg(B)) |
---|
[26300d] | 2522 | { |
---|
[a604c3] | 2523 | mpz_neg(B,B); |
---|
| 2524 | mpz_neg(N,N); |
---|
[26300d] | 2525 | } |
---|
[9f4478] | 2526 | // check for gcd(N,B)==1 |
---|
| 2527 | mpz_gcd(tmp,N,B); |
---|
| 2528 | if (mpz_cmp_ui(tmp,1)==0) |
---|
| 2529 | { |
---|
| 2530 | // return N/B |
---|
| 2531 | z=ALLOC_RNUMBER(); |
---|
| 2532 | #ifdef LDEBUG |
---|
| 2533 | z->debug=123456; |
---|
| 2534 | #endif |
---|
| 2535 | mpz_init_set(z->z,N); |
---|
| 2536 | mpz_init_set(z->n,B); |
---|
| 2537 | z->s = 0; |
---|
| 2538 | nlNormalize(z,r); |
---|
| 2539 | } |
---|
| 2540 | else |
---|
| 2541 | { |
---|
| 2542 | // return nN (the input) instead of "fail" |
---|
| 2543 | z=nlCopy(nN,r); |
---|
| 2544 | } |
---|
[3149a5] | 2545 | break; |
---|
| 2546 | } |
---|
[7453b4] | 2547 | //mpz_mod(D,E,N); |
---|
| 2548 | //mpz_div(tmp,E,N); |
---|
| 2549 | mpz_divmod(tmp,D,E,N); |
---|
[a604c3] | 2550 | mpz_mul(tmp,tmp,B); |
---|
| 2551 | mpz_sub(C,A,tmp); |
---|
| 2552 | mpz_set(E,N); |
---|
| 2553 | mpz_set(N,D); |
---|
| 2554 | mpz_set(A,B); |
---|
| 2555 | mpz_set(B,C); |
---|
| 2556 | } |
---|
| 2557 | mpz_clear(tmp); |
---|
| 2558 | mpz_clear(A); |
---|
| 2559 | mpz_clear(B); |
---|
| 2560 | mpz_clear(C); |
---|
| 2561 | mpz_clear(D); |
---|
| 2562 | mpz_clear(E); |
---|
| 2563 | mpz_clear(N); |
---|
| 2564 | mpz_clear(P); |
---|
[3149a5] | 2565 | return z; |
---|
| 2566 | } |
---|
[bbf7a8] | 2567 | |
---|
[3216ec] | 2568 | number nlExtGcd(number a, number b, number *s, number *t, const coeffs) |
---|
| 2569 | { |
---|
| 2570 | mpz_t aa,bb; |
---|
| 2571 | *s=ALLOC_RNUMBER(); |
---|
| 2572 | mpz_init((*s)->z); (*s)->s=3; |
---|
| 2573 | (*t)=ALLOC_RNUMBER(); |
---|
| 2574 | mpz_init((*t)->z); (*t)->s=3; |
---|
| 2575 | number g=ALLOC_RNUMBER(); |
---|
| 2576 | mpz_init(g->z); g->s=3; |
---|
| 2577 | if (SR_HDL(a) & SR_INT) |
---|
| 2578 | { |
---|
| 2579 | mpz_init_set_si(aa,SR_TO_INT(a)); |
---|
| 2580 | } |
---|
| 2581 | else |
---|
| 2582 | { |
---|
| 2583 | mpz_init_set(aa,a->z); |
---|
| 2584 | } |
---|
| 2585 | if (SR_HDL(b) & SR_INT) |
---|
| 2586 | { |
---|
| 2587 | mpz_init_set_si(bb,SR_TO_INT(b)); |
---|
| 2588 | } |
---|
| 2589 | else |
---|
| 2590 | { |
---|
| 2591 | mpz_init_set(bb,b->z); |
---|
| 2592 | } |
---|
| 2593 | mpz_gcdext(g->z,(*s)->z,(*t)->z,aa,bb); |
---|
| 2594 | mpz_clear(aa); |
---|
| 2595 | mpz_clear(bb); |
---|
| 2596 | (*s)=nlShort3((*s)); |
---|
| 2597 | (*t)=nlShort3((*t)); |
---|
| 2598 | g=nlShort3(g); |
---|
| 2599 | return g; |
---|
| 2600 | } |
---|
| 2601 | |
---|
[03f7b5] | 2602 | void nlCoeffWrite (const coeffs, BOOLEAN /*details*/) |
---|
[8167af] | 2603 | { |
---|
| 2604 | PrintS("// characteristic : 0\n"); |
---|
| 2605 | } |
---|
| 2606 | |
---|
[de27d8] | 2607 | number nlChineseRemainderSym(number *x, number *q,int rl, BOOLEAN sym, const coeffs CF) |
---|
[e8c8d5] | 2608 | // elemenst in the array are x[0..(rl-1)], q[0..(rl-1)] |
---|
| 2609 | { |
---|
| 2610 | #ifdef HAVE_FACTORY |
---|
| 2611 | setCharacteristic( 0 ); // only in char 0 |
---|
[de27d8] | 2612 | Off(SW_RATIONAL); |
---|
[e8c8d5] | 2613 | CFArray X(rl), Q(rl); |
---|
| 2614 | int i; |
---|
| 2615 | for(i=rl-1;i>=0;i--) |
---|
| 2616 | { |
---|
[de27d8] | 2617 | X[i]=CF->convSingNFactoryN(x[i],FALSE,CF); // may be larger MAX_INT |
---|
| 2618 | Q[i]=CF->convSingNFactoryN(q[i],FALSE,CF); // may be larger MAX_INT |
---|
[e8c8d5] | 2619 | } |
---|
| 2620 | CanonicalForm xnew,qnew; |
---|
| 2621 | chineseRemainder(X,Q,xnew,qnew); |
---|
[de27d8] | 2622 | number n=CF->convFactoryNSingN(xnew,CF); |
---|
| 2623 | if (sym) |
---|
[e8c8d5] | 2624 | { |
---|
[de27d8] | 2625 | number p=CF->convFactoryNSingN(qnew,CF); |
---|
| 2626 | number p2=nlIntDiv(p,nlInit(2, CF),CF); |
---|
| 2627 | if (nlGreater(n,p2,CF)) |
---|
| 2628 | { |
---|
| 2629 | number n2=nlSub(n,p,CF); |
---|
| 2630 | nlDelete(&n,CF); |
---|
| 2631 | n=n2; |
---|
| 2632 | } |
---|
| 2633 | nlDelete(&p2,CF); |
---|
| 2634 | nlDelete(&p,CF); |
---|
[e8c8d5] | 2635 | } |
---|
| 2636 | return n; |
---|
| 2637 | #else |
---|
| 2638 | WerrorS("not implemented"); |
---|
[de27d8] | 2639 | return nlInit(0,CF); |
---|
[e8c8d5] | 2640 | #endif |
---|
| 2641 | } |
---|
[de27d8] | 2642 | number nlChineseRemainder(number *x, number *q,int rl, const coeffs C) |
---|
| 2643 | { |
---|
| 2644 | return nlChineseRemainderSym(x,q,rl,TRUE,C); |
---|
| 2645 | } |
---|
[e8c8d5] | 2646 | |
---|
[558f3cc] | 2647 | static void nlClearContent(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2648 | { |
---|
| 2649 | assume(cf != NULL); |
---|
| 2650 | assume(getCoeffType(cf) == ID); |
---|
[9952bd] | 2651 | |
---|
| 2652 | numberCollectionEnumerator.Reset(); |
---|
| 2653 | |
---|
| 2654 | if( !numberCollectionEnumerator.MoveNext() ) // empty zero polynomial? |
---|
| 2655 | { |
---|
| 2656 | c = n_Init(1, cf); |
---|
| 2657 | return; |
---|
| 2658 | } |
---|
| 2659 | |
---|
[de88371] | 2660 | // all coeffs are given by integers!!! |
---|
| 2661 | |
---|
[4f9652] | 2662 | // part 1, find a small candidate for gcd |
---|
| 2663 | number cand1,cand; |
---|
| 2664 | int s1,s; |
---|
| 2665 | s=2147483647; // max. int |
---|
[9952bd] | 2666 | |
---|
[dc79bd] | 2667 | const BOOLEAN lc_is_pos=nlGreaterZero(numberCollectionEnumerator.Current(),cf); |
---|
[9952bd] | 2668 | |
---|
| 2669 | int normalcount = 0; |
---|
[4f9652] | 2670 | do |
---|
| 2671 | { |
---|
[9952bd] | 2672 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2673 | nlNormalize(n, cf); ++normalcount; |
---|
| 2674 | cand1 = n; |
---|
| 2675 | |
---|
| 2676 | if (SR_HDL(cand1)&SR_INT) { cand=cand1; break; } |
---|
| 2677 | assume(cand1->s==3); // all coeffs should be integers // ==0?!! after printing |
---|
[4f9652] | 2678 | s1=mpz_size1(cand1->z); |
---|
| 2679 | if (s>s1) |
---|
| 2680 | { |
---|
| 2681 | cand=cand1; |
---|
| 2682 | s=s1; |
---|
| 2683 | } |
---|
[e11ed0] | 2684 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2685 | |
---|
[9952bd] | 2686 | // assume( nlGreaterZero(cand,cf) ); // cand may be a negative integer! |
---|
| 2687 | |
---|
[d1d27f1] | 2688 | cand=nlCopy(cand,cf); |
---|
[4f9652] | 2689 | // part 2: compute gcd(cand,all coeffs) |
---|
[9952bd] | 2690 | |
---|
[4f9652] | 2691 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2692 | |
---|
| 2693 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[4f9652] | 2694 | { |
---|
[9952bd] | 2695 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2696 | |
---|
| 2697 | if( (--normalcount) <= 0) |
---|
| 2698 | nlNormalize(n, cf); |
---|
| 2699 | |
---|
| 2700 | nlInpGcd(cand, n, cf); |
---|
| 2701 | |
---|
| 2702 | assume( nlGreaterZero(cand,cf) ); |
---|
| 2703 | |
---|
[39d731] | 2704 | if(nlIsOne(cand,cf)) |
---|
| 2705 | { |
---|
[9952bd] | 2706 | c = cand; |
---|
| 2707 | |
---|
[39d731] | 2708 | if(!lc_is_pos) |
---|
| 2709 | { |
---|
| 2710 | // make the leading coeff positive |
---|
[9952bd] | 2711 | c = nlNeg(c, cf); |
---|
[39d731] | 2712 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2713 | |
---|
| 2714 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[39d731] | 2715 | { |
---|
[9952bd] | 2716 | number& nn = numberCollectionEnumerator.Current(); |
---|
| 2717 | nn = nlNeg(nn, cf); |
---|
| 2718 | } |
---|
[39d731] | 2719 | } |
---|
| 2720 | return; |
---|
| 2721 | } |
---|
[9952bd] | 2722 | } |
---|
[e11ed0] | 2723 | |
---|
[4f9652] | 2724 | // part3: all coeffs = all coeffs / cand |
---|
[9952bd] | 2725 | if (!lc_is_pos) |
---|
| 2726 | cand = nlNeg(cand,cf); |
---|
| 2727 | |
---|
| 2728 | c = cand; |
---|
[4f9652] | 2729 | numberCollectionEnumerator.Reset(); |
---|
[e11ed0] | 2730 | |
---|
[9952bd] | 2731 | while (numberCollectionEnumerator.MoveNext() ) |
---|
| 2732 | { |
---|
| 2733 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2734 | number t=nlIntDiv(n, cand, cf); // simple integer exact division, no ratios to remain |
---|
| 2735 | nlDelete(&n, cf); |
---|
| 2736 | n = t; |
---|
| 2737 | } |
---|
[de88371] | 2738 | } |
---|
| 2739 | |
---|
[558f3cc] | 2740 | static void nlClearDenominators(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2741 | { |
---|
| 2742 | assume(cf != NULL); |
---|
| 2743 | assume(getCoeffType(cf) == ID); |
---|
[9952bd] | 2744 | |
---|
| 2745 | numberCollectionEnumerator.Reset(); |
---|
| 2746 | |
---|
| 2747 | if( !numberCollectionEnumerator.MoveNext() ) // empty zero polynomial? |
---|
| 2748 | { |
---|
| 2749 | c = n_Init(1, cf); |
---|
[dc79bd] | 2750 | // assume( n_GreaterZero(c, cf) ); |
---|
[9952bd] | 2751 | return; |
---|
| 2752 | } |
---|
| 2753 | |
---|
[d1d27f1] | 2754 | // all coeffs are given by integers after returning from this routine |
---|
| 2755 | |
---|
| 2756 | // part 1, collect product of all denominators /gcds |
---|
[e11ed0] | 2757 | number cand; |
---|
[d1d27f1] | 2758 | cand=ALLOC_RNUMBER(); |
---|
[9952bd] | 2759 | #if defined(LDEBUG) |
---|
[d1d27f1] | 2760 | cand->debug=123456; |
---|
[9952bd] | 2761 | #endif |
---|
[d1d27f1] | 2762 | cand->s=3; |
---|
| 2763 | |
---|
| 2764 | int s=0; |
---|
[9952bd] | 2765 | |
---|
[dc79bd] | 2766 | const BOOLEAN lc_is_pos=nlGreaterZero(numberCollectionEnumerator.Current(),cf); |
---|
[9952bd] | 2767 | |
---|
[d1d27f1] | 2768 | do |
---|
| 2769 | { |
---|
[560a3d] | 2770 | number& cand1 = numberCollectionEnumerator.Current(); |
---|
[e11ed0] | 2771 | |
---|
[d1d27f1] | 2772 | if (!(SR_HDL(cand1)&SR_INT)) |
---|
| 2773 | { |
---|
[e11ed0] | 2774 | nlNormalize(cand1, cf); |
---|
[d1d27f1] | 2775 | if ((!(SR_HDL(cand1)&SR_INT)) // not a short int |
---|
[9952bd] | 2776 | && (cand1->s==1)) // and is a normalised rational |
---|
[d1d27f1] | 2777 | { |
---|
| 2778 | if (s==0) // first denom, we meet |
---|
| 2779 | { |
---|
[9952bd] | 2780 | mpz_init_set(cand->z, cand1->n); // cand->z = cand1->n |
---|
[e11ed0] | 2781 | s=1; |
---|
[d1d27f1] | 2782 | } |
---|
| 2783 | else // we have already something |
---|
| 2784 | { |
---|
[9952bd] | 2785 | mpz_lcm(cand->z, cand->z, cand1->n); |
---|
[d1d27f1] | 2786 | } |
---|
| 2787 | } |
---|
| 2788 | } |
---|
[9952bd] | 2789 | } |
---|
| 2790 | while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2791 | |
---|
[de88371] | 2792 | |
---|
[d1d27f1] | 2793 | if (s==0) // nothing to do, all coeffs are already integers |
---|
| 2794 | { |
---|
[9952bd] | 2795 | // mpz_clear(tmp); |
---|
[e11ed0] | 2796 | FREE_RNUMBER(cand); |
---|
[39d731] | 2797 | if (lc_is_pos) |
---|
| 2798 | c=nlInit(1,cf); |
---|
| 2799 | else |
---|
| 2800 | { |
---|
| 2801 | // make the leading coeff positive |
---|
| 2802 | c=nlInit(-1,cf); |
---|
[9952bd] | 2803 | |
---|
| 2804 | // TODO: incorporate the following into the loop below? |
---|
[39d731] | 2805 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2806 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[39d731] | 2807 | { |
---|
[9952bd] | 2808 | number& n = numberCollectionEnumerator.Current(); |
---|
| 2809 | n = nlNeg(n, cf); |
---|
| 2810 | } |
---|
[39d731] | 2811 | } |
---|
[dc79bd] | 2812 | // assume( n_GreaterZero(c, cf) ); |
---|
[d1d27f1] | 2813 | return; |
---|
| 2814 | } |
---|
[9952bd] | 2815 | |
---|
| 2816 | cand = nlShort3(cand); |
---|
[e11ed0] | 2817 | |
---|
[d1d27f1] | 2818 | // part2: all coeffs = all coeffs * cand |
---|
[e11ed0] | 2819 | // make the lead coeff positive |
---|
[d1d27f1] | 2820 | numberCollectionEnumerator.Reset(); |
---|
[9952bd] | 2821 | |
---|
| 2822 | if (!lc_is_pos) |
---|
| 2823 | cand = nlNeg(cand, cf); |
---|
| 2824 | |
---|
[e11ed0] | 2825 | c = cand; |
---|
[9952bd] | 2826 | |
---|
| 2827 | while (numberCollectionEnumerator.MoveNext() ) |
---|
[d1d27f1] | 2828 | { |
---|
[560a3d] | 2829 | number &n = numberCollectionEnumerator.Current(); |
---|
| 2830 | n_InpMult(n, cand, cf); |
---|
[9952bd] | 2831 | } |
---|
[e11ed0] | 2832 | |
---|
[de88371] | 2833 | } |
---|
| 2834 | |
---|
[9bb5457] | 2835 | BOOLEAN nlInitChar(coeffs r, void*) |
---|
[e3c02d2] | 2836 | { |
---|
[73a9ffb] | 2837 | assume( getCoeffType(r) == ID ); |
---|
| 2838 | //const int ch = (int)(long)(p); |
---|
[9bb5457] | 2839 | |
---|
[e3c02d2] | 2840 | r->cfKillChar=NULL; |
---|
[121fd9] | 2841 | r->nCoeffIsEqual=ndCoeffIsEqual; |
---|
[577888] | 2842 | r->cfKillChar = ndKillChar; /* dummy */ |
---|
[e3c02d2] | 2843 | |
---|
[d663f2] | 2844 | r->cfInitMPZ = nlInitMPZ; |
---|
| 2845 | r->cfMPZ = nlMPZ; |
---|
[e11ed0] | 2846 | |
---|
[7bbbef] | 2847 | r->cfMult = nlMult; |
---|
| 2848 | r->cfSub = nlSub; |
---|
| 2849 | r->cfAdd = nlAdd; |
---|
| 2850 | r->cfDiv = nlDiv; |
---|
| 2851 | r->cfIntDiv= nlIntDiv; |
---|
| 2852 | r->cfIntMod= nlIntMod; |
---|
| 2853 | r->cfExactDiv= nlExactDiv; |
---|
[bbf7a8] | 2854 | r->cfInit = nlInit; |
---|
[7bbbef] | 2855 | r->cfSize = nlSize; |
---|
| 2856 | r->cfInt = nlInt; |
---|
[e11ed0] | 2857 | |
---|
[de27d8] | 2858 | r->cfChineseRemainder=nlChineseRemainderSym; |
---|
[e8c8d5] | 2859 | r->cfFarey=nlFarey; |
---|
[bbf7a8] | 2860 | #ifdef HAVE_RINGS |
---|
[7bbbef] | 2861 | //r->cfDivComp = NULL; // only for ring stuff |
---|
| 2862 | //r->cfIsUnit = NULL; // only for ring stuff |
---|
| 2863 | //r->cfGetUnit = NULL; // only for ring stuff |
---|
| 2864 | //r->cfDivBy = NULL; // only for ring stuff |
---|
[bbf7a8] | 2865 | #endif |
---|
[7bbbef] | 2866 | r->cfNeg = nlNeg; |
---|
| 2867 | r->cfInvers= nlInvers; |
---|
[2b957a] | 2868 | r->cfCopy = nlCopy; |
---|
| 2869 | r->cfRePart = nlCopy; |
---|
[7bbbef] | 2870 | //r->cfImPart = ndReturn0; |
---|
[ce1f78] | 2871 | r->cfWriteLong = nlWrite; |
---|
[7bbbef] | 2872 | r->cfRead = nlRead; |
---|
| 2873 | r->cfNormalize=nlNormalize; |
---|
| 2874 | r->cfGreater = nlGreater; |
---|
| 2875 | r->cfEqual = nlEqual; |
---|
| 2876 | r->cfIsZero = nlIsZero; |
---|
| 2877 | r->cfIsOne = nlIsOne; |
---|
| 2878 | r->cfIsMOne = nlIsMOne; |
---|
| 2879 | r->cfGreaterZero = nlGreaterZero; |
---|
| 2880 | r->cfPower = nlPower; |
---|
[bbf7a8] | 2881 | r->cfGetDenom = nlGetDenom; |
---|
| 2882 | r->cfGetNumerator = nlGetNumerator; |
---|
[7bbbef] | 2883 | r->cfGcd = nlGcd; |
---|
[3216ec] | 2884 | r->cfExtGcd = nlExtGcd; // only for ring stuff and Z |
---|
[7bbbef] | 2885 | r->cfLcm = nlLcm; |
---|
[bbf7a8] | 2886 | r->cfDelete= nlDelete; |
---|
[e3c02d2] | 2887 | r->cfSetMap = nlSetMap; |
---|
[7bbbef] | 2888 | //r->cfName = ndName; |
---|
| 2889 | r->cfInpMult=nlInpMult; |
---|
| 2890 | r->cfInit_bigint=nlCopyMap; |
---|
[8167af] | 2891 | r->cfCoeffWrite=nlCoeffWrite; |
---|
[de88371] | 2892 | |
---|
| 2893 | r->cfClearContent = nlClearContent; |
---|
| 2894 | r->cfClearDenominators = nlClearDenominators; |
---|
[e11ed0] | 2895 | |
---|
[e3c02d2] | 2896 | #ifdef LDEBUG |
---|
[bbf7a8] | 2897 | // debug stuff |
---|
[7bbbef] | 2898 | r->cfDBTest=nlDBTest; |
---|
[e3c02d2] | 2899 | #endif |
---|
[e5d267] | 2900 | #ifdef HAVE_FACTORY |
---|
| 2901 | r->convSingNFactoryN=nlConvSingNFactoryN; |
---|
| 2902 | r->convFactoryNSingN=nlConvFactoryNSingN; |
---|
| 2903 | #endif |
---|
[039016] | 2904 | |
---|
[8835e2b] | 2905 | // the variables: general stuff (required) |
---|
[bbf7a8] | 2906 | r->nNULL = INT_TO_SR(0); |
---|
[aff5ae] | 2907 | //r->type = n_Q; |
---|
[bbf7a8] | 2908 | r->ch = 0; |
---|
| 2909 | r->has_simple_Alloc=FALSE; |
---|
| 2910 | r->has_simple_Inverse=FALSE; |
---|
[9bb5457] | 2911 | |
---|
[8835e2b] | 2912 | // variables for this type of coeffs: |
---|
| 2913 | // (none) |
---|
[5d594a9] | 2914 | return FALSE; |
---|
[e3c02d2] | 2915 | } |
---|
[35aab3] | 2916 | #if 0 |
---|
| 2917 | number nlMod(number a, number b) |
---|
| 2918 | { |
---|
| 2919 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2920 | { |
---|
| 2921 | int bi=SR_TO_INT(b); |
---|
| 2922 | int ai=SR_TO_INT(a); |
---|
| 2923 | int bb=ABS(bi); |
---|
| 2924 | int c=ai%bb; |
---|
| 2925 | if (c<0) c+=bb; |
---|
| 2926 | return (INT_TO_SR(c)); |
---|
| 2927 | } |
---|
| 2928 | number al; |
---|
| 2929 | number bl; |
---|
| 2930 | if (SR_HDL(a))&SR_INT) |
---|
| 2931 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2932 | else |
---|
| 2933 | al=nlCopy(a); |
---|
| 2934 | if (SR_HDL(b))&SR_INT) |
---|
| 2935 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2936 | else |
---|
| 2937 | bl=nlCopy(b); |
---|
| 2938 | number r=nlRInit(0); |
---|
| 2939 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2940 | nlDelete(&al); |
---|
| 2941 | nlDelete(&bl); |
---|
| 2942 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2943 | { |
---|
[246d15] | 2944 | LONG ui=(int)mpz_get_si(&r->z); |
---|
[35aab3] | 2945 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2946 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2947 | { |
---|
| 2948 | mpz_clear(&r->z); |
---|
[d663f2] | 2949 | FREE_RNUMBER(r); // omFreeBin((void *)r, rnumber_bin); |
---|
[35aab3] | 2950 | r=INT_TO_SR(ui); |
---|
| 2951 | } |
---|
| 2952 | } |
---|
| 2953 | return r; |
---|
| 2954 | } |
---|
| 2955 | #endif |
---|
| 2956 | #endif // not P_NUMBERS_H |
---|
| 2957 | #endif // LONGRAT_CC |
---|