[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[341696] | 4 | /* $Id$ */ |
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[35aab3] | 5 | /* |
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| 6 | * ABSTRACT: computation with long rational numbers (Hubert Grassmann) |
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| 7 | */ |
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| 8 | |
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[ea11dc] | 9 | #include <coeffs/longrat.h> |
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[246d15] | 10 | |
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[9eb0f9] | 11 | |
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[246d15] | 12 | // 64 bit version: |
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| 13 | #if 0 |
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| 14 | #define MAX_NUM_SIZE 60 |
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| 15 | #define POW_2_28 0x10000000000000L |
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| 16 | #define LONG long |
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| 17 | #else |
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| 18 | #define MAX_NUM_SIZE 28 |
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| 19 | #define POW_2_28 (1L<<28) |
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| 20 | #define LONG int |
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| 21 | #endif |
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| 22 | |
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| 23 | static inline number nlShort3(number x) // assume x->s==3 |
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| 24 | { |
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| 25 | assume(x->s==3); |
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| 26 | if ((mpz_cmp_ui(x->z,(long)0)==0) |
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| 27 | || (mpz_size1(x->z)<=MP_SMALL)) |
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| 28 | { |
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| 29 | LONG ui=mpz_get_si(x->z); |
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| 30 | if ((((ui<<3)>>3)==ui) |
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| 31 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
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| 32 | { |
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| 33 | mpz_clear(x->z); |
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[896561] | 34 | FREE_RNUMBER(x); |
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[246d15] | 35 | return INT_TO_SR(ui); |
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| 36 | } |
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| 37 | } |
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| 38 | return x; |
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| 39 | } |
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| 40 | |
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[35aab3] | 41 | #ifndef LONGRAT_CC |
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| 42 | #define LONGRAT_CC |
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| 43 | |
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| 44 | #include <string.h> |
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| 45 | #include <float.h> |
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[9eb0f9] | 46 | |
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[691dba] | 47 | #include "config.h" |
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[2d805a] | 48 | #include <coeffs/coeffs.h> |
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[31213a4] | 49 | #include <reporter/reporter.h> |
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| 50 | #include <omalloc/omalloc.h> |
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[9eb0f9] | 51 | |
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[2d805a] | 52 | #include <coeffs/numbers.h> |
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| 53 | #include <coeffs/modulop.h> |
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| 54 | #include <coeffs/shortfl.h> |
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| 55 | #include <coeffs/mpr_complex.h> |
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[35aab3] | 56 | |
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[9eb0f9] | 57 | #ifdef HAVE_FACTORY |
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| 58 | #include <factory/factory.h> |
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| 59 | #endif |
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[35aab3] | 60 | |
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| 61 | #ifndef BYTES_PER_MP_LIMB |
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| 62 | #define BYTES_PER_MP_LIMB sizeof(mp_limb_t) |
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| 63 | #endif |
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| 64 | |
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| 65 | /*-----------------------------------------------------------------*/ |
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| 66 | /*3 |
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| 67 | * parameter s in number: |
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| 68 | * 0 (or FALSE): not normalised rational |
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| 69 | * 1 (or TRUE): normalised rational |
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| 70 | * 3 : integer with n==NULL |
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| 71 | */ |
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| 72 | /*3 |
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| 73 | ** 'SR_INT' is the type of those integers small enough to fit into 29 bits. |
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| 74 | ** Therefor the value range of this small integers is: $-2^{28}...2^{28}-1$. |
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| 75 | ** |
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| 76 | ** Small integers are represented by an immediate integer handle, containing |
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| 77 | ** the value instead of pointing to it, which has the following form: |
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| 78 | ** |
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| 79 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 80 | ** | guard | sign | bit | bit | | bit | tag | tag | |
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| 81 | ** | bit | bit | 27 | 26 | | 0 | 0 | 1 | |
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| 82 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 83 | ** |
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| 84 | ** Immediate integers handles carry the tag 'SR_INT', i.e. the last bit is 1. |
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| 85 | ** This distuingishes immediate integers from other handles which point to |
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| 86 | ** structures aligned on 4 byte boundaries and therefor have last bit zero. |
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| 87 | ** (The second bit is reserved as tag to allow extensions of this scheme.) |
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| 88 | ** Using immediates as pointers and dereferencing them gives address errors. |
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| 89 | ** |
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| 90 | ** To aid overflow check the most significant two bits must always be equal, |
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| 91 | ** that is to say that the sign bit of immediate integers has a guard bit. |
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| 92 | ** |
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| 93 | ** The macros 'INT_TO_SR' and 'SR_TO_INT' should be used to convert between |
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| 94 | ** a small integer value and its representation as immediate integer handle. |
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| 95 | ** |
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| 96 | ** Large integers and rationals are represented by z and n |
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| 97 | ** where n may be undefined (if s==3) |
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| 98 | ** NULL represents only deleted values |
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| 99 | */ |
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| 100 | #define SR_HDL(A) ((long)(A)) |
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[46f6af6] | 101 | /*#define SR_INT 1L*/ |
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[35aab3] | 102 | /*#define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT))*/ |
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| 103 | // #define SR_TO_INT(SR) (((long)SR) >> 2) |
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| 104 | |
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| 105 | #define MP_SMALL 1 |
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| 106 | //#define mpz_isNeg(A) (mpz_cmp_si(A,(long)0)<0) |
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| 107 | #define mpz_isNeg(A) ((A)->_mp_size<0) |
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| 108 | #define mpz_limb_size(A) ((A)->_mp_size) |
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| 109 | #define mpz_limb_d(A) ((A)->_mp_d) |
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| 110 | #define MPZ_DIV(A,B,C) mpz_tdiv_q((A),(B),(C)) |
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| 111 | #define MPZ_EXACTDIV(A,B,C) mpz_divexact((A),(B),(C)) |
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| 112 | |
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[73a9ffb] | 113 | /// Our Type! |
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| 114 | static const n_coeffType ID = n_Q; |
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[35aab3] | 115 | |
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[73a9ffb] | 116 | void _nlDelete_NoImm(number *a); |
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[fa31d2] | 117 | |
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[35aab3] | 118 | /*************************************************************** |
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| 119 | * |
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| 120 | * Routines which are never inlined by p_Numbers.h |
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| 121 | * |
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| 122 | *******************************************************************/ |
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| 123 | #ifndef P_NUMBERS_H |
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| 124 | |
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[246d15] | 125 | number nlShort3_noinline(number x) // assume x->s==3 |
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| 126 | { |
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| 127 | return nlShort3(x); |
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| 128 | } |
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| 129 | |
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[896561] | 130 | //#ifndef SI_THREADS |
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[35aab3] | 131 | omBin rnumber_bin = omGetSpecBin(sizeof(snumber)); |
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[896561] | 132 | //#endif |
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[35aab3] | 133 | |
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[eb059c5] | 134 | number nlOne=INT_TO_SR(1); |
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[35aab3] | 135 | |
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| 136 | #if (__GNU_MP_VERSION*10+__GNU_MP_VERSION_MINOR < 31) |
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| 137 | void mpz_mul_si (mpz_ptr r, mpz_srcptr s, long int si) |
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| 138 | { |
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| 139 | if (si>=0) |
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| 140 | mpz_mul_ui(r,s,si); |
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| 141 | else |
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| 142 | { |
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| 143 | mpz_mul_ui(r,s,-si); |
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| 144 | mpz_neg(r,r); |
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| 145 | } |
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| 146 | } |
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| 147 | #endif |
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| 148 | |
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[fa31d2] | 149 | static number nlMapP(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 150 | { |
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[fa31d2] | 151 | assume( getCoeffType(dst) == ID ); |
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| 152 | assume( getCoeffType(src) == n_Zp ); |
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[9bb5457] | 153 | |
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[35aab3] | 154 | number to; |
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[fa31d2] | 155 | to = nlInit(npInt(from,src), dst); |
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[35aab3] | 156 | return to; |
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| 157 | } |
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| 158 | |
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[fa31d2] | 159 | static number nlMapLongR(number from, const coeffs src, const coeffs dst); |
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| 160 | static number nlMapR(number from, const coeffs src, const coeffs dst); |
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[35aab3] | 161 | |
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[894f5b1] | 162 | #ifdef HAVE_RINGS |
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| 163 | /*2 |
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| 164 | * convert from a GMP integer |
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| 165 | */ |
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[9bb5457] | 166 | number nlMapGMP(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 167 | { |
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[896561] | 168 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 169 | #if defined(LDEBUG) |
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| 170 | z->debug=123456; |
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| 171 | #endif |
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[a604c3] | 172 | mpz_init_set(z->z,(mpz_ptr) from); |
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[20704f] | 173 | //mpz_init_set_ui(&z->n,1); |
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[894f5b1] | 174 | z->s = 3; |
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[246d15] | 175 | z=nlShort3(z); |
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[894f5b1] | 176 | return z; |
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| 177 | } |
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| 178 | |
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| 179 | /*2 |
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| 180 | * convert from an machine long |
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| 181 | */ |
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[9bb5457] | 182 | number nlMapMachineInt(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 183 | { |
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[896561] | 184 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 185 | #if defined(LDEBUG) |
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| 186 | z->debug=123456; |
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| 187 | #endif |
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[a604c3] | 188 | mpz_init_set_ui(z->z,(unsigned long) from); |
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[894f5b1] | 189 | z->s = 3; |
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[246d15] | 190 | z=nlShort3(z); |
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[894f5b1] | 191 | return z; |
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| 192 | } |
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| 193 | #endif |
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| 194 | |
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[35aab3] | 195 | |
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| 196 | #ifdef LDEBUG |
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[9bb5457] | 197 | BOOLEAN nlDBTest(number a, const char *f,const int l, const coeffs /*r*/) |
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[35aab3] | 198 | { |
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| 199 | if (a==NULL) |
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| 200 | { |
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| 201 | Print("!!longrat: NULL in %s:%d\n",f,l); |
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| 202 | return FALSE; |
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| 203 | } |
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| 204 | //if ((int)a==1) Print("!! 0x1 as number ? %s %d\n",f,l); |
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[7447d8] | 205 | if ((((long)a)&3L)==3L) |
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[35aab3] | 206 | { |
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| 207 | Print(" !!longrat:ptr(3) in %s:%d\n",f,l); |
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| 208 | return FALSE; |
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| 209 | } |
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[7447d8] | 210 | if ((((long)a)&3L)==1L) |
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[35aab3] | 211 | { |
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[246d15] | 212 | if (((((LONG)(long)a)<<1)>>1)!=((LONG)(long)a)) |
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[35aab3] | 213 | { |
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[2132395] | 214 | Print(" !!longrat:arith:%lx in %s:%d\n",(long)a, f,l); |
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[35aab3] | 215 | return FALSE; |
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| 216 | } |
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| 217 | return TRUE; |
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| 218 | } |
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[4a2260e] | 219 | /* TODO: If next line is active, then computations in algebraic field |
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| 220 | extensions over Q will throw a lot of assume violations although |
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| 221 | everything is computed correctly and no seg fault appears. |
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| 222 | Maybe the test is not appropriate in this case. */ |
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[d12f186] | 223 | omCheckIf(omCheckAddrSize(a,sizeof(*a)), return FALSE); |
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[35aab3] | 224 | if (a->debug!=123456) |
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| 225 | { |
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| 226 | Print("!!longrat:debug:%d in %s:%d\n",a->debug,f,l); |
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| 227 | a->debug=123456; |
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| 228 | return FALSE; |
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| 229 | } |
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| 230 | if ((a->s<0)||(a->s>4)) |
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| 231 | { |
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| 232 | Print("!!longrat:s=%d in %s:%d\n",a->s,f,l); |
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| 233 | return FALSE; |
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| 234 | } |
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[c28ecf] | 235 | /* TODO: If next line is active, then computations in algebraic field |
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| 236 | extensions over Q will throw a lot of assume violations although |
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| 237 | everything is computed correctly and no seg fault appears. |
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| 238 | Maybe the test is not appropriate in this case. */ |
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[896561] | 239 | //omCheckAddrSize(a->z[0]._mp_d,a->z[0]._mp_alloc*BYTES_PER_MP_LIMB); |
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[a604c3] | 240 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 241 | Print("!!longrat:z->alloc=0 in %s:%d\n",f,l); |
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[35aab3] | 242 | |
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| 243 | if (a->s<2) |
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| 244 | { |
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[c28ecf] | 245 | /* TODO: If next line is active, then computations in algebraic field |
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| 246 | extensions over Q will throw a lot of assume violations although |
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| 247 | everything is computed correctly and no seg fault appears. |
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| 248 | Maybe the test is not appropriate in this case. */ |
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[896561] | 249 | //omCheckIf(omCheckAddrSize(a->n[0]._mp_d,a->n[0]._mp_alloc*BYTES_PER_MP_LIMB), return FALSE); |
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[a604c3] | 250 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 251 | Print("!!longrat:n->alloc=0 in %s:%d\n",f,l); |
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[a604c3] | 252 | if ((mpz_size1(a->n) ==1) && (mpz_cmp_si(a->n,(long)1)==0)) |
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[35aab3] | 253 | { |
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| 254 | Print("!!longrat:integer as rational in %s:%d\n",f,l); |
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[8fd3bd5] | 255 | mpz_clear(a->n); a->s=3; |
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[35aab3] | 256 | return FALSE; |
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| 257 | } |
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[a604c3] | 258 | else if (mpz_isNeg(a->n)) |
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[35aab3] | 259 | { |
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| 260 | Print("!!longrat:div. by negative in %s:%d\n",f,l); |
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[a604c3] | 261 | mpz_neg(a->z,a->z); |
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| 262 | mpz_neg(a->n,a->n); |
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[35aab3] | 263 | return FALSE; |
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| 264 | } |
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| 265 | return TRUE; |
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| 266 | } |
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[9257fe] | 267 | //if (a->s==2) |
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| 268 | //{ |
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| 269 | // Print("!!longrat:s=2 in %s:%d\n",f,l); |
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| 270 | // return FALSE; |
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| 271 | //} |
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[a604c3] | 272 | if (mpz_size1(a->z)>MP_SMALL) return TRUE; |
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[246d15] | 273 | LONG ui=(int)mpz_get_si(a->z); |
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[35aab3] | 274 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 275 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
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[35aab3] | 276 | { |
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| 277 | Print("!!longrat:im int %d in %s:%d\n",ui,f,l); |
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| 278 | f=NULL; |
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| 279 | return FALSE; |
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| 280 | } |
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| 281 | return TRUE; |
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| 282 | } |
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| 283 | #endif |
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| 284 | |
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[a934fc8] | 285 | #ifdef HAVE_FACTORY |
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[9bb5457] | 286 | CanonicalForm nlConvSingNFactoryN( number n, BOOLEAN setChar, const coeffs /*r*/ ) |
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[a934fc8] | 287 | { |
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[abb4787] | 288 | if (setChar) setCharacteristic( 0 ); |
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| 289 | |
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[a934fc8] | 290 | CanonicalForm term; |
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| 291 | if ( SR_HDL(n) & SR_INT ) |
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| 292 | { |
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| 293 | term = SR_TO_INT(n); |
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| 294 | } |
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| 295 | else |
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| 296 | { |
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| 297 | if ( n->s == 3 ) |
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| 298 | { |
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| 299 | MP_INT dummy; |
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| 300 | mpz_init_set( &dummy,n->z ); |
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| 301 | term = make_cf( dummy ); |
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| 302 | } |
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| 303 | else |
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| 304 | { |
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| 305 | // assume s==0 or s==1 |
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| 306 | MP_INT num, den; |
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| 307 | On(SW_RATIONAL); |
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| 308 | mpz_init_set( &num, n->z ); |
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| 309 | mpz_init_set( &den, n->n ); |
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| 310 | term = make_cf( num, den, ( n->s != 1 )); |
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| 311 | } |
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| 312 | } |
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| 313 | return term; |
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| 314 | } |
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| 315 | |
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| 316 | number nlConvFactoryNSingN( const CanonicalForm n, const coeffs r) |
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| 317 | { |
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| 318 | if (n.isImm()) |
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| 319 | { |
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| 320 | return nlInit(n.intval(),r); |
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| 321 | } |
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| 322 | else |
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| 323 | { |
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| 324 | number z=(number)omAllocBin(rnumber_bin); |
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| 325 | #if defined(LDEBUG) |
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| 326 | z->debug=123456; |
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| 327 | #endif |
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| 328 | gmp_numerator( n, z->z ); |
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| 329 | if ( n.den().isOne() ) |
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| 330 | z->s = 3; |
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| 331 | else |
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| 332 | { |
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| 333 | gmp_denominator( n, z->n ); |
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| 334 | z->s = 0; |
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| 335 | } |
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| 336 | nlNormalize(z,r); |
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| 337 | return z; |
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| 338 | } |
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| 339 | } |
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| 340 | #endif |
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[246d15] | 341 | number nlRInit (long i); |
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[35aab3] | 342 | |
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[371bc5f] | 343 | static number nlMapR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 344 | { |
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[fa31d2] | 345 | assume( getCoeffType(dst) == ID ); |
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| 346 | assume( getCoeffType(src) == n_R ); |
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[9bb5457] | 347 | |
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[35aab3] | 348 | double f=nrFloat(from); |
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[eb059c5] | 349 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 350 | int f_sign=1; |
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| 351 | if (f<0.0) |
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| 352 | { |
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| 353 | f_sign=-1; |
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| 354 | f=-f; |
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| 355 | } |
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| 356 | int i=0; |
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| 357 | mpz_t h1; |
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| 358 | mpz_init_set_ui(h1,1); |
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| 359 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 360 | { |
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| 361 | f*=FLT_RADIX; |
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| 362 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 363 | i++; |
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| 364 | } |
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[a642c64] | 365 | number re=nlRInit(1); |
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[bbf7a8] | 366 | mpz_set_d(re->z,f); |
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[a642c64] | 367 | memcpy(&(re->n),&h1,sizeof(h1)); |
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| 368 | re->s=0; /* not normalized */ |
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[371bc5f] | 369 | if(f_sign==-1) re=nlNeg(re,dst); |
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| 370 | nlNormalize(re,dst); |
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[a642c64] | 371 | return re; |
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[35aab3] | 372 | } |
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| 373 | |
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[9bb5457] | 374 | static number nlMapLongR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 375 | { |
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[fa31d2] | 376 | assume( getCoeffType(dst) == ID ); |
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| 377 | assume( getCoeffType(src) == n_long_R ); |
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[9bb5457] | 378 | |
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[35aab3] | 379 | gmp_float *ff=(gmp_float*)from; |
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| 380 | mpf_t *f=ff->_mpfp(); |
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| 381 | number res; |
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[a604c3] | 382 | mpz_ptr dest,ndest; |
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[35aab3] | 383 | int size, i,negative; |
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| 384 | int e,al,bl; |
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| 385 | mp_ptr qp,dd,nn; |
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| 386 | |
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| 387 | size = (*f)[0]._mp_size; |
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| 388 | if (size == 0) |
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[eb059c5] | 389 | return INT_TO_SR(0); |
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[35aab3] | 390 | if(size<0) |
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| 391 | { |
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| 392 | negative = 1; |
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| 393 | size = -size; |
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| 394 | } |
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| 395 | else |
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| 396 | negative = 0; |
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| 397 | |
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| 398 | qp = (*f)[0]._mp_d; |
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| 399 | while(qp[0]==0) |
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| 400 | { |
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| 401 | qp++; |
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| 402 | size--; |
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| 403 | } |
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| 404 | |
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| 405 | e=(*f)[0]._mp_exp-size; |
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[896561] | 406 | res = ALLOC_RNUMBER(); |
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[35aab3] | 407 | #if defined(LDEBUG) |
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| 408 | res->debug=123456; |
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| 409 | #endif |
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[a604c3] | 410 | dest = res->z; |
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[35aab3] | 411 | |
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| 412 | if (e<0) |
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| 413 | { |
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| 414 | al = dest->_mp_size = size; |
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| 415 | if (al<2) al = 2; |
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| 416 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 417 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 418 | bl = 1-e; |
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| 419 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 420 | nn[bl-1] = 1; |
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| 421 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 422 | ndest = res->n; |
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[35aab3] | 423 | ndest->_mp_d = nn; |
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| 424 | ndest->_mp_alloc = ndest->_mp_size = bl; |
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| 425 | res->s = 0; |
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| 426 | } |
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| 427 | else |
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| 428 | { |
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| 429 | al = dest->_mp_size = size+e; |
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| 430 | if (al<2) al = 2; |
---|
| 431 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
---|
| 432 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
---|
| 433 | for (i=0;i<e;i++) dd[i] = 0; |
---|
| 434 | res->s = 3; |
---|
| 435 | } |
---|
| 436 | |
---|
| 437 | dest->_mp_d = dd; |
---|
| 438 | dest->_mp_alloc = al; |
---|
| 439 | if (negative) dest->_mp_size = -dest->_mp_size; |
---|
| 440 | |
---|
| 441 | if (res->s==0) |
---|
[371bc5f] | 442 | nlNormalize(res,dst); |
---|
[bbf7a8] | 443 | else if (mpz_size1(res->z)<=MP_SMALL) |
---|
[35aab3] | 444 | { |
---|
| 445 | // res is new, res->ref is 1 |
---|
[246d15] | 446 | res=nlShort3(res); |
---|
[35aab3] | 447 | } |
---|
[2b957a] | 448 | nlTest(res, dst); |
---|
[35aab3] | 449 | return res; |
---|
| 450 | } |
---|
| 451 | |
---|
| 452 | //static number nlMapLongR(number from) |
---|
| 453 | //{ |
---|
| 454 | // gmp_float *ff=(gmp_float*)from; |
---|
| 455 | // const mpf_t *f=ff->mpfp(); |
---|
| 456 | // int f_size=ABS((*f)[0]._mp_size); |
---|
| 457 | // if (f_size==0) |
---|
| 458 | // return nlInit(0); |
---|
| 459 | // int f_sign=1; |
---|
| 460 | // number work=ngcCopy(from); |
---|
| 461 | // if (!ngcGreaterZero(work)) |
---|
| 462 | // { |
---|
| 463 | // f_sign=-1; |
---|
| 464 | // work=ngcNeg(work); |
---|
| 465 | // } |
---|
| 466 | // int i=0; |
---|
| 467 | // mpz_t h1; |
---|
| 468 | // mpz_init_set_ui(h1,1); |
---|
| 469 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
---|
| 470 | // { |
---|
| 471 | // f*=FLT_RADIX; |
---|
| 472 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
---|
| 473 | // i++; |
---|
| 474 | // } |
---|
| 475 | // number r=nlRInit(1); |
---|
| 476 | // mpz_set_d(&(r->z),f); |
---|
[611871] | 477 | // memcpy(&(r->n),&h1,sizeof(h1)); |
---|
[35aab3] | 478 | // r->s=0; /* not normalized */ |
---|
| 479 | // nlNormalize(r); |
---|
| 480 | // return r; |
---|
| 481 | // |
---|
| 482 | // |
---|
| 483 | // number r=nlRInit(1); |
---|
| 484 | // int f_shift=f_size+(*f)[0]._mp_exp; |
---|
| 485 | // if ( f_shift > 0) |
---|
| 486 | // { |
---|
| 487 | // r->s=0; |
---|
| 488 | // mpz_init(&r->n); |
---|
| 489 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
---|
| 490 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 491 | // // now r->z has enough space |
---|
[611871] | 492 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 493 | // nlNormalize(r); |
---|
| 494 | // } |
---|
| 495 | // else |
---|
| 496 | // { |
---|
| 497 | // r->s=3; |
---|
| 498 | // if (f_shift==0) |
---|
| 499 | // { |
---|
| 500 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 501 | // // now r->z has enough space |
---|
[611871] | 502 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 503 | // } |
---|
| 504 | // else /* f_shift < 0 */ |
---|
| 505 | // { |
---|
| 506 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 507 | // // now r->z has enough space |
---|
[611871] | 508 | // memcpy(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
[35aab3] | 509 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 510 | // } |
---|
| 511 | // } |
---|
| 512 | // if ((*f)[0]._mp_size<0); |
---|
| 513 | // r=nlNeg(r); |
---|
| 514 | // return r; |
---|
| 515 | //} |
---|
| 516 | |
---|
[121fd9] | 517 | int nlSize(number a, const coeffs) |
---|
[35aab3] | 518 | { |
---|
| 519 | if (a==INT_TO_SR(0)) |
---|
| 520 | return 0; /* rational 0*/ |
---|
| 521 | if (SR_HDL(a) & SR_INT) |
---|
| 522 | return 1; /* immidiate int */ |
---|
[a604c3] | 523 | int s=a->z[0]._mp_alloc; |
---|
[9bb5457] | 524 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 525 | //#if SIZEOF_LONG == 8 |
---|
| 526 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 527 | // else s *=2; |
---|
| 528 | //#endif |
---|
[790096] | 529 | // s++; |
---|
[35aab3] | 530 | if (a->s<2) |
---|
| 531 | { |
---|
[a604c3] | 532 | int d=a->n[0]._mp_alloc; |
---|
[9bb5457] | 533 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 534 | //#if SIZEOF_LONG == 8 |
---|
| 535 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 536 | // else d *=2; |
---|
| 537 | //#endif |
---|
[1da0b5] | 538 | s+=d; |
---|
[35aab3] | 539 | } |
---|
| 540 | return s; |
---|
| 541 | } |
---|
| 542 | |
---|
| 543 | /*2 |
---|
| 544 | * convert number to int |
---|
| 545 | */ |
---|
[a642c64] | 546 | int nlInt(number &i, const coeffs r) |
---|
[35aab3] | 547 | { |
---|
[2b957a] | 548 | nlTest(i, r); |
---|
[a642c64] | 549 | nlNormalize(i,r); |
---|
[35aab3] | 550 | if (SR_HDL(i) &SR_INT) return SR_TO_INT(i); |
---|
| 551 | if (i->s==3) |
---|
| 552 | { |
---|
[a604c3] | 553 | if(mpz_size1(i->z)>MP_SMALL) return 0; |
---|
| 554 | int ul=(int)mpz_get_si(i->z); |
---|
| 555 | if (mpz_cmp_si(i->z,(long)ul)!=0) return 0; |
---|
[35aab3] | 556 | return ul; |
---|
| 557 | } |
---|
[a604c3] | 558 | mpz_t tmp; |
---|
[35aab3] | 559 | int ul; |
---|
[a604c3] | 560 | mpz_init(tmp); |
---|
| 561 | MPZ_DIV(tmp,i->z,i->n); |
---|
| 562 | if(mpz_size1(tmp)>MP_SMALL) ul=0; |
---|
[35aab3] | 563 | else |
---|
| 564 | { |
---|
[a604c3] | 565 | ul=(int)mpz_get_si(tmp); |
---|
| 566 | if (mpz_cmp_si(tmp,(long)ul)!=0) ul=0; |
---|
[35aab3] | 567 | } |
---|
[a604c3] | 568 | mpz_clear(tmp); |
---|
[35aab3] | 569 | return ul; |
---|
| 570 | } |
---|
| 571 | |
---|
[7f7573] | 572 | /*2 |
---|
| 573 | * convert number to bigint |
---|
| 574 | */ |
---|
[a642c64] | 575 | number nlBigInt(number &i, const coeffs r) |
---|
[7f7573] | 576 | { |
---|
[2b957a] | 577 | nlTest(i, r); |
---|
[a642c64] | 578 | nlNormalize(i,r); |
---|
[7f7573] | 579 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 580 | if (i->s==3) |
---|
| 581 | { |
---|
[a642c64] | 582 | return nlCopy(i,r); |
---|
[7f7573] | 583 | } |
---|
| 584 | number tmp=nlRInit(1); |
---|
[a604c3] | 585 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[246d15] | 586 | tmp=nlShort3(tmp); |
---|
[7f7573] | 587 | return tmp; |
---|
| 588 | } |
---|
| 589 | |
---|
[35aab3] | 590 | /* |
---|
| 591 | * 1/a |
---|
| 592 | */ |
---|
[a642c64] | 593 | number nlInvers(number a, const coeffs r) |
---|
[35aab3] | 594 | { |
---|
[2b957a] | 595 | nlTest(a, r); |
---|
[35aab3] | 596 | number n; |
---|
| 597 | if (SR_HDL(a) & SR_INT) |
---|
| 598 | { |
---|
[246d15] | 599 | if ((a==INT_TO_SR(1L)) || (a==INT_TO_SR(-1L))) |
---|
[35aab3] | 600 | { |
---|
| 601 | return a; |
---|
| 602 | } |
---|
[a642c64] | 603 | if (nlIsZero(a,r)) |
---|
[35aab3] | 604 | { |
---|
[b7e838] | 605 | WerrorS(nDivBy0); |
---|
[35aab3] | 606 | return INT_TO_SR(0); |
---|
| 607 | } |
---|
[896561] | 608 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 609 | #if defined(LDEBUG) |
---|
| 610 | n->debug=123456; |
---|
| 611 | #endif |
---|
| 612 | n->s=1; |
---|
[7447d8] | 613 | if ((long)a>0L) |
---|
[35aab3] | 614 | { |
---|
[a604c3] | 615 | mpz_init_set_si(n->z,(long)1); |
---|
| 616 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 617 | } |
---|
| 618 | else |
---|
| 619 | { |
---|
[a604c3] | 620 | mpz_init_set_si(n->z,(long)-1); |
---|
| 621 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 622 | } |
---|
[2b957a] | 623 | nlTest(n, r); |
---|
[35aab3] | 624 | return n; |
---|
| 625 | } |
---|
[896561] | 626 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 627 | #if defined(LDEBUG) |
---|
| 628 | n->debug=123456; |
---|
| 629 | #endif |
---|
| 630 | { |
---|
| 631 | n->s=a->s; |
---|
[a604c3] | 632 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 633 | switch (a->s) |
---|
| 634 | { |
---|
| 635 | case 0: |
---|
| 636 | case 1: |
---|
[a604c3] | 637 | mpz_init_set(n->z,a->n); |
---|
| 638 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 639 | { |
---|
[a604c3] | 640 | mpz_neg(n->z,n->z); |
---|
| 641 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 642 | } |
---|
[a604c3] | 643 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 644 | { |
---|
[a604c3] | 645 | mpz_clear(n->n); |
---|
[35aab3] | 646 | n->s=3; |
---|
[246d15] | 647 | n=nlShort3(n); |
---|
[35aab3] | 648 | } |
---|
| 649 | break; |
---|
| 650 | case 3: |
---|
| 651 | n->s=1; |
---|
[a604c3] | 652 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 653 | { |
---|
[a604c3] | 654 | mpz_neg(n->n,n->n); |
---|
| 655 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 656 | } |
---|
| 657 | else |
---|
| 658 | { |
---|
[a604c3] | 659 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 660 | } |
---|
| 661 | break; |
---|
| 662 | } |
---|
| 663 | } |
---|
[2b957a] | 664 | nlTest(n, r); |
---|
[35aab3] | 665 | return n; |
---|
| 666 | } |
---|
| 667 | |
---|
| 668 | |
---|
| 669 | /*2 |
---|
| 670 | * u := a / b in Z, if b | a (else undefined) |
---|
| 671 | */ |
---|
[2b957a] | 672 | number nlExactDiv(number a, number b, const coeffs r) |
---|
[35aab3] | 673 | { |
---|
| 674 | if (b==INT_TO_SR(0)) |
---|
| 675 | { |
---|
[b7e838] | 676 | WerrorS(nDivBy0); |
---|
[35aab3] | 677 | return INT_TO_SR(0); |
---|
| 678 | } |
---|
| 679 | if (a==INT_TO_SR(0)) |
---|
| 680 | return INT_TO_SR(0); |
---|
| 681 | number u; |
---|
| 682 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 683 | { |
---|
| 684 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 685 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 686 | { |
---|
[246d15] | 687 | return nlRInit(POW_2_28); |
---|
[35aab3] | 688 | } |
---|
[246d15] | 689 | long aa=SR_TO_INT(a); |
---|
| 690 | long bb=SR_TO_INT(b); |
---|
[35aab3] | 691 | return INT_TO_SR(aa/bb); |
---|
| 692 | } |
---|
| 693 | number bb=NULL; |
---|
| 694 | if (SR_HDL(b) & SR_INT) |
---|
| 695 | { |
---|
| 696 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 697 | b=bb; |
---|
| 698 | } |
---|
[896561] | 699 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 700 | #if defined(LDEBUG) |
---|
| 701 | u->debug=123456; |
---|
| 702 | #endif |
---|
[a604c3] | 703 | mpz_init(u->z); |
---|
[35aab3] | 704 | /* u=a/b */ |
---|
| 705 | u->s = 3; |
---|
[a604c3] | 706 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 707 | if (bb!=NULL) |
---|
| 708 | { |
---|
[a604c3] | 709 | mpz_clear(bb->z); |
---|
[35aab3] | 710 | #if defined(LDEBUG) |
---|
| 711 | bb->debug=654324; |
---|
| 712 | #endif |
---|
[7d90aa] | 713 | omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 714 | } |
---|
[246d15] | 715 | u=nlShort3(u); |
---|
[2b957a] | 716 | nlTest(u, r); |
---|
[35aab3] | 717 | return u; |
---|
| 718 | } |
---|
| 719 | |
---|
| 720 | /*2 |
---|
| 721 | * u := a / b in Z |
---|
| 722 | */ |
---|
[2b957a] | 723 | number nlIntDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 724 | { |
---|
| 725 | if (b==INT_TO_SR(0)) |
---|
| 726 | { |
---|
[b7e838] | 727 | WerrorS(nDivBy0); |
---|
[35aab3] | 728 | return INT_TO_SR(0); |
---|
| 729 | } |
---|
| 730 | if (a==INT_TO_SR(0)) |
---|
| 731 | return INT_TO_SR(0); |
---|
| 732 | number u; |
---|
| 733 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 734 | { |
---|
| 735 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 736 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 737 | { |
---|
[246d15] | 738 | return nlRInit(POW_2_28); |
---|
[35aab3] | 739 | } |
---|
[246d15] | 740 | long aa=SR_TO_INT(a); |
---|
| 741 | long bb=SR_TO_INT(b); |
---|
[bb9a5a] | 742 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 743 | } |
---|
| 744 | if (SR_HDL(a) & SR_INT) |
---|
| 745 | { |
---|
| 746 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
[246d15] | 747 | if (a==INT_TO_SR(-(POW_2_28))) |
---|
[35aab3] | 748 | { |
---|
[246d15] | 749 | if(mpz_cmp_si(b->z,(POW_2_28))==0) |
---|
[35aab3] | 750 | { |
---|
| 751 | return INT_TO_SR(-1); |
---|
| 752 | } |
---|
| 753 | } |
---|
| 754 | /* a is a small and b is a large int: -> 0 */ |
---|
| 755 | return INT_TO_SR(0); |
---|
| 756 | } |
---|
| 757 | number bb=NULL; |
---|
| 758 | if (SR_HDL(b) & SR_INT) |
---|
| 759 | { |
---|
| 760 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 761 | b=bb; |
---|
| 762 | } |
---|
[896561] | 763 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 764 | #if defined(LDEBUG) |
---|
| 765 | u->debug=123456; |
---|
| 766 | #endif |
---|
[98bda9] | 767 | assume(a->s==3); |
---|
| 768 | assume(b->s==3); |
---|
[a604c3] | 769 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 770 | /* u=u/b */ |
---|
| 771 | u->s = 3; |
---|
[a604c3] | 772 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 773 | if (bb!=NULL) |
---|
| 774 | { |
---|
[a604c3] | 775 | mpz_clear(bb->z); |
---|
[35aab3] | 776 | #if defined(LDEBUG) |
---|
| 777 | bb->debug=654324; |
---|
| 778 | #endif |
---|
[7d90aa] | 779 | omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 780 | } |
---|
[246d15] | 781 | u=nlShort3(u); |
---|
[2b957a] | 782 | nlTest(u, r); |
---|
[35aab3] | 783 | return u; |
---|
| 784 | } |
---|
| 785 | |
---|
| 786 | /*2 |
---|
| 787 | * u := a mod b in Z, u>=0 |
---|
| 788 | */ |
---|
[a642c64] | 789 | number nlIntMod (number a, number b, const coeffs r) |
---|
[35aab3] | 790 | { |
---|
| 791 | if (b==INT_TO_SR(0)) |
---|
| 792 | { |
---|
[b7e838] | 793 | WerrorS(nDivBy0); |
---|
[35aab3] | 794 | return INT_TO_SR(0); |
---|
| 795 | } |
---|
| 796 | if (a==INT_TO_SR(0)) |
---|
| 797 | return INT_TO_SR(0); |
---|
| 798 | number u; |
---|
| 799 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 800 | { |
---|
[7447d8] | 801 | if ((long)a>0L) |
---|
[35aab3] | 802 | { |
---|
[7447d8] | 803 | if ((long)b>0L) |
---|
[35aab3] | 804 | return INT_TO_SR(SR_TO_INT(a)%SR_TO_INT(b)); |
---|
| 805 | else |
---|
| 806 | return INT_TO_SR(SR_TO_INT(a)%(-SR_TO_INT(b))); |
---|
| 807 | } |
---|
| 808 | else |
---|
| 809 | { |
---|
[7447d8] | 810 | if ((long)b>0L) |
---|
[35aab3] | 811 | { |
---|
[246d15] | 812 | long i=(-SR_TO_INT(a))%SR_TO_INT(b); |
---|
| 813 | if ( i != 0L ) i = (SR_TO_INT(b))-i; |
---|
[35aab3] | 814 | return INT_TO_SR(i); |
---|
| 815 | } |
---|
| 816 | else |
---|
| 817 | { |
---|
[246d15] | 818 | long i=(-SR_TO_INT(a))%(-SR_TO_INT(b)); |
---|
| 819 | if ( i != 0L ) i = (-SR_TO_INT(b))-i; |
---|
[35aab3] | 820 | return INT_TO_SR(i); |
---|
| 821 | } |
---|
| 822 | } |
---|
| 823 | } |
---|
| 824 | if (SR_HDL(a) & SR_INT) |
---|
| 825 | { |
---|
| 826 | /* a is a small and b is a large int: -> a or (a+b) or (a-b) */ |
---|
[7447d8] | 827 | if ((long)a<0L) |
---|
[35aab3] | 828 | { |
---|
[a604c3] | 829 | if (mpz_isNeg(b->z)) |
---|
[a642c64] | 830 | return nlSub(a,b,r); |
---|
[35aab3] | 831 | /*else*/ |
---|
[a642c64] | 832 | return nlAdd(a,b,r); |
---|
[35aab3] | 833 | } |
---|
| 834 | /*else*/ |
---|
| 835 | return a; |
---|
| 836 | } |
---|
| 837 | number bb=NULL; |
---|
| 838 | if (SR_HDL(b) & SR_INT) |
---|
| 839 | { |
---|
| 840 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 841 | b=bb; |
---|
| 842 | } |
---|
[896561] | 843 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 844 | #if defined(LDEBUG) |
---|
| 845 | u->debug=123456; |
---|
| 846 | #endif |
---|
[a604c3] | 847 | mpz_init(u->z); |
---|
[35aab3] | 848 | u->s = 3; |
---|
[a604c3] | 849 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 850 | if (bb!=NULL) |
---|
| 851 | { |
---|
[a604c3] | 852 | mpz_clear(bb->z); |
---|
[35aab3] | 853 | #if defined(LDEBUG) |
---|
| 854 | bb->debug=654324; |
---|
| 855 | #endif |
---|
[7d90aa] | 856 | omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 857 | } |
---|
[a604c3] | 858 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 859 | { |
---|
[a604c3] | 860 | if (mpz_isNeg(b->z)) |
---|
| 861 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 862 | else |
---|
[a604c3] | 863 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 864 | } |
---|
[246d15] | 865 | u=nlShort3(u); |
---|
[2b957a] | 866 | nlTest(u, r); |
---|
[35aab3] | 867 | return u; |
---|
| 868 | } |
---|
| 869 | |
---|
| 870 | /*2 |
---|
| 871 | * u := a / b |
---|
| 872 | */ |
---|
[a642c64] | 873 | number nlDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 874 | { |
---|
| 875 | number u; |
---|
[a642c64] | 876 | if (nlIsZero(b,r)) |
---|
[35aab3] | 877 | { |
---|
[b7e838] | 878 | WerrorS(nDivBy0); |
---|
[35aab3] | 879 | return INT_TO_SR(0); |
---|
| 880 | } |
---|
[896561] | 881 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 882 | u->s=0; |
---|
| 883 | #if defined(LDEBUG) |
---|
| 884 | u->debug=123456; |
---|
| 885 | #endif |
---|
| 886 | // ---------- short / short ------------------------------------ |
---|
| 887 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 888 | { |
---|
[246d15] | 889 | long i=SR_TO_INT(a); |
---|
| 890 | long j=SR_TO_INT(b); |
---|
[1a97da] | 891 | if ((i==-POW_2_28) && (j== -1L)) |
---|
| 892 | { |
---|
[896561] | 893 | FREE_RNUMBER(u); |
---|
[1a97da] | 894 | return nlRInit(POW_2_28); |
---|
| 895 | } |
---|
[246d15] | 896 | long r=i%j; |
---|
[35aab3] | 897 | if (r==0) |
---|
| 898 | { |
---|
[7d90aa] | 899 | omFreeBin((void *)u, rnumber_bin); |
---|
[35aab3] | 900 | return INT_TO_SR(i/j); |
---|
| 901 | } |
---|
[a604c3] | 902 | mpz_init_set_si(u->z,(long)i); |
---|
| 903 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 904 | } |
---|
| 905 | else |
---|
| 906 | { |
---|
[a604c3] | 907 | mpz_init(u->z); |
---|
[35aab3] | 908 | // ---------- short / long ------------------------------------ |
---|
| 909 | if (SR_HDL(a) & SR_INT) |
---|
| 910 | { |
---|
| 911 | // short a / (z/n) -> (a*n)/z |
---|
| 912 | if (b->s<2) |
---|
| 913 | { |
---|
[a604c3] | 914 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 915 | } |
---|
| 916 | else |
---|
| 917 | // short a / long z -> a/z |
---|
| 918 | { |
---|
[a604c3] | 919 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 920 | } |
---|
[a604c3] | 921 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 922 | { |
---|
[a604c3] | 923 | mpz_clear(u->z); |
---|
[896561] | 924 | FREE_RNUMBER(u); |
---|
[35aab3] | 925 | return INT_TO_SR(1); |
---|
| 926 | } |
---|
[a604c3] | 927 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 928 | } |
---|
| 929 | // ---------- long / short ------------------------------------ |
---|
| 930 | else if (SR_HDL(b) & SR_INT) |
---|
| 931 | { |
---|
[a604c3] | 932 | mpz_set(u->z,a->z); |
---|
[35aab3] | 933 | // (z/n) / b -> z/(n*b) |
---|
| 934 | if (a->s<2) |
---|
| 935 | { |
---|
[a604c3] | 936 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 937 | if ((long)b>0L) |
---|
[a604c3] | 938 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 939 | else |
---|
| 940 | { |
---|
[a604c3] | 941 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 942 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 943 | } |
---|
| 944 | } |
---|
| 945 | else |
---|
| 946 | // long z / short b -> z/b |
---|
| 947 | { |
---|
[a604c3] | 948 | //mpz_set(u->z,a->z); |
---|
| 949 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 950 | } |
---|
| 951 | } |
---|
| 952 | // ---------- long / long ------------------------------------ |
---|
| 953 | else |
---|
| 954 | { |
---|
[a604c3] | 955 | mpz_set(u->z,a->z); |
---|
| 956 | mpz_init_set(u->n,b->z); |
---|
| 957 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 958 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 959 | } |
---|
| 960 | } |
---|
[a604c3] | 961 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 962 | { |
---|
[a604c3] | 963 | mpz_neg(u->z,u->z); |
---|
| 964 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 965 | } |
---|
[a604c3] | 966 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 967 | { |
---|
[a604c3] | 968 | mpz_clear(u->n); |
---|
[35aab3] | 969 | u->s=3; |
---|
[246d15] | 970 | u=nlShort3(u); |
---|
[35aab3] | 971 | } |
---|
[2b957a] | 972 | nlTest(u, r); |
---|
[35aab3] | 973 | return u; |
---|
| 974 | } |
---|
| 975 | |
---|
| 976 | /*2 |
---|
| 977 | * u:= x ^ exp |
---|
| 978 | */ |
---|
[a642c64] | 979 | void nlPower (number x,int exp,number * u, const coeffs r) |
---|
[35aab3] | 980 | { |
---|
[6242bb3] | 981 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[a642c64] | 982 | if (!nlIsZero(x,r)) |
---|
[35aab3] | 983 | { |
---|
[2b957a] | 984 | nlTest(x, r); |
---|
[35aab3] | 985 | number aa=NULL; |
---|
| 986 | if (SR_HDL(x) & SR_INT) |
---|
| 987 | { |
---|
| 988 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 989 | x=aa; |
---|
| 990 | } |
---|
[ee7dcf] | 991 | else if (x->s==0) |
---|
[a642c64] | 992 | nlNormalize(x,r); |
---|
[896561] | 993 | *u=ALLOC_RNUMBER(); |
---|
[35aab3] | 994 | #if defined(LDEBUG) |
---|
| 995 | (*u)->debug=123456; |
---|
| 996 | #endif |
---|
[a604c3] | 997 | mpz_init((*u)->z); |
---|
| 998 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 999 | if (x->s<2) |
---|
| 1000 | { |
---|
[a604c3] | 1001 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1002 | { |
---|
| 1003 | x->s=3; |
---|
[a604c3] | 1004 | mpz_clear(x->n); |
---|
[35aab3] | 1005 | } |
---|
| 1006 | else |
---|
| 1007 | { |
---|
[a604c3] | 1008 | mpz_init((*u)->n); |
---|
| 1009 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 1010 | } |
---|
| 1011 | } |
---|
| 1012 | (*u)->s = x->s; |
---|
[246d15] | 1013 | if ((*u)->s==3) *u=nlShort3(*u); |
---|
[35aab3] | 1014 | if (aa!=NULL) |
---|
| 1015 | { |
---|
[a604c3] | 1016 | mpz_clear(aa->z); |
---|
[896561] | 1017 | FREE_RNUMBER(aa); |
---|
[35aab3] | 1018 | } |
---|
| 1019 | } |
---|
[6242bb3] | 1020 | else if (exp==0) |
---|
| 1021 | *u = INT_TO_SR(1); // 0^0 |
---|
[35aab3] | 1022 | #ifdef LDEBUG |
---|
[deca7f6] | 1023 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[2b957a] | 1024 | nlTest(*u, r); |
---|
[35aab3] | 1025 | #endif |
---|
| 1026 | } |
---|
| 1027 | |
---|
| 1028 | |
---|
| 1029 | /*2 |
---|
| 1030 | * za >= 0 ? |
---|
| 1031 | */ |
---|
[2b957a] | 1032 | BOOLEAN nlGreaterZero (number a, const coeffs r) |
---|
[35aab3] | 1033 | { |
---|
[2b957a] | 1034 | nlTest(a, r); |
---|
[246d15] | 1035 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1L /* represents number(0) */; |
---|
[a604c3] | 1036 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 1037 | } |
---|
| 1038 | |
---|
| 1039 | /*2 |
---|
| 1040 | * a > b ? |
---|
| 1041 | */ |
---|
[a642c64] | 1042 | BOOLEAN nlGreater (number a, number b, const coeffs r) |
---|
[35aab3] | 1043 | { |
---|
[2b957a] | 1044 | nlTest(a, r); |
---|
| 1045 | nlTest(b, r); |
---|
[a642c64] | 1046 | number re; |
---|
[35aab3] | 1047 | BOOLEAN rr; |
---|
[a642c64] | 1048 | re=nlSub(a,b,r); |
---|
| 1049 | rr=(!nlIsZero(re,r)) && (nlGreaterZero(re,r)); |
---|
| 1050 | nlDelete(&re,r); |
---|
[35aab3] | 1051 | return rr; |
---|
| 1052 | } |
---|
| 1053 | |
---|
| 1054 | /*2 |
---|
| 1055 | * a == -1 ? |
---|
| 1056 | */ |
---|
[2b957a] | 1057 | BOOLEAN nlIsMOne (number a, const coeffs r) |
---|
[35aab3] | 1058 | { |
---|
| 1059 | #ifdef LDEBUG |
---|
| 1060 | if (a==NULL) return FALSE; |
---|
[2b957a] | 1061 | nlTest(a, r); |
---|
[35aab3] | 1062 | #endif |
---|
[246d15] | 1063 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1L)); |
---|
[5f4ae4] | 1064 | //return FALSE; |
---|
[246d15] | 1065 | return (a==INT_TO_SR(-1L)); |
---|
[35aab3] | 1066 | } |
---|
| 1067 | |
---|
| 1068 | /*2 |
---|
| 1069 | * result =gcd(a,b) |
---|
| 1070 | */ |
---|
[a642c64] | 1071 | number nlGcd(number a, number b, const coeffs r) |
---|
[35aab3] | 1072 | { |
---|
| 1073 | number result; |
---|
[2b957a] | 1074 | nlTest(a, r); |
---|
| 1075 | nlTest(b, r); |
---|
[35aab3] | 1076 | //nlNormalize(a); |
---|
| 1077 | //nlNormalize(b); |
---|
[246d15] | 1078 | if ((a==INT_TO_SR(1L))||(a==INT_TO_SR(-1L)) |
---|
| 1079 | || (b==INT_TO_SR(1L))||(b==INT_TO_SR(-1L))) |
---|
| 1080 | return INT_TO_SR(1L); |
---|
[f553f3] | 1081 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
[a642c64] | 1082 | return nlCopy(b,r); |
---|
[f553f3] | 1083 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
[a642c64] | 1084 | return nlCopy(a,r); |
---|
[35aab3] | 1085 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1086 | { |
---|
[246d15] | 1087 | long i=SR_TO_INT(a); |
---|
| 1088 | long j=SR_TO_INT(b); |
---|
| 1089 | if((i==0L)||(j==0L)) |
---|
[35aab3] | 1090 | return INT_TO_SR(1); |
---|
[246d15] | 1091 | long l; |
---|
[35aab3] | 1092 | i=ABS(i); |
---|
| 1093 | j=ABS(j); |
---|
| 1094 | do |
---|
| 1095 | { |
---|
| 1096 | l=i%j; |
---|
| 1097 | i=j; |
---|
| 1098 | j=l; |
---|
[246d15] | 1099 | } while (l!=0L); |
---|
[794463] | 1100 | if (i==POW_2_28) |
---|
| 1101 | result=nlRInit(POW_2_28); |
---|
| 1102 | else |
---|
| 1103 | result=INT_TO_SR(i); |
---|
[2b957a] | 1104 | nlTest(result,r); |
---|
[794463] | 1105 | return result; |
---|
[35aab3] | 1106 | } |
---|
| 1107 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1108 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1109 | if (SR_HDL(a) & SR_INT) |
---|
| 1110 | { |
---|
[794463] | 1111 | LONG aa=ABS(SR_TO_INT(a)); |
---|
| 1112 | unsigned long t=mpz_gcd_ui(NULL,b->z,(long)aa); |
---|
| 1113 | if (t==POW_2_28) |
---|
| 1114 | result=nlRInit(POW_2_28); |
---|
| 1115 | else |
---|
| 1116 | result=INT_TO_SR(t); |
---|
[35aab3] | 1117 | } |
---|
| 1118 | else |
---|
| 1119 | if (SR_HDL(b) & SR_INT) |
---|
| 1120 | { |
---|
[794463] | 1121 | LONG bb=ABS(SR_TO_INT(b)); |
---|
| 1122 | unsigned long t=mpz_gcd_ui(NULL,a->z,(long)bb); |
---|
| 1123 | if (t==POW_2_28) |
---|
| 1124 | result=nlRInit(POW_2_28); |
---|
| 1125 | else |
---|
| 1126 | result=INT_TO_SR(t); |
---|
[35aab3] | 1127 | } |
---|
| 1128 | else |
---|
| 1129 | { |
---|
[896561] | 1130 | result=ALLOC_RNUMBER(); |
---|
[a604c3] | 1131 | mpz_init(result->z); |
---|
| 1132 | mpz_gcd(result->z,a->z,b->z); |
---|
[ea66a97] | 1133 | result->s = 3; |
---|
| 1134 | #ifdef LDEBUG |
---|
| 1135 | result->debug=123456; |
---|
| 1136 | #endif |
---|
[246d15] | 1137 | result=nlShort3(result); |
---|
[35aab3] | 1138 | } |
---|
[2b957a] | 1139 | nlTest(result, r); |
---|
[35aab3] | 1140 | return result; |
---|
| 1141 | } |
---|
| 1142 | |
---|
[18057e] | 1143 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1144 | { |
---|
[18057e] | 1145 | assume(x->s<2); |
---|
[a604c3] | 1146 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1147 | { |
---|
[106406] | 1148 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1149 | return INT_TO_SR(0); |
---|
| 1150 | } |
---|
[18057e] | 1151 | if (x->s<2) |
---|
| 1152 | { |
---|
[a604c3] | 1153 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1154 | { |
---|
[106406] | 1155 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1156 | return INT_TO_SR(1); |
---|
| 1157 | } |
---|
| 1158 | } |
---|
| 1159 | return x; |
---|
| 1160 | } |
---|
[35aab3] | 1161 | /*2 |
---|
| 1162 | * simplify x |
---|
| 1163 | */ |
---|
[a642c64] | 1164 | void nlNormalize (number &x, const coeffs r) |
---|
[35aab3] | 1165 | { |
---|
| 1166 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1167 | return; |
---|
| 1168 | if (x->s==3) |
---|
| 1169 | { |
---|
[246d15] | 1170 | x=nlShort3_noinline(x); |
---|
[2b957a] | 1171 | nlTest(x,r); |
---|
[18057e] | 1172 | return; |
---|
[35aab3] | 1173 | } |
---|
[3ccafbf] | 1174 | else if (x->s==0) |
---|
[35aab3] | 1175 | { |
---|
[a604c3] | 1176 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1177 | { |
---|
[a604c3] | 1178 | mpz_clear(x->n); |
---|
[3ccafbf] | 1179 | x->s=3; |
---|
[246d15] | 1180 | x=nlShort3(x); |
---|
[eb059c5] | 1181 | } |
---|
[3ccafbf] | 1182 | else |
---|
[eb059c5] | 1183 | { |
---|
[a604c3] | 1184 | mpz_t gcd; |
---|
| 1185 | mpz_init(gcd); |
---|
| 1186 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1187 | x->s=1; |
---|
[a604c3] | 1188 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1189 | { |
---|
[a604c3] | 1190 | mpz_t r; |
---|
| 1191 | mpz_init(r); |
---|
| 1192 | MPZ_EXACTDIV(r,x->z,gcd); |
---|
| 1193 | mpz_set(x->z,r); |
---|
| 1194 | MPZ_EXACTDIV(r,x->n,gcd); |
---|
| 1195 | mpz_set(x->n,r); |
---|
| 1196 | mpz_clear(r); |
---|
| 1197 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1198 | { |
---|
[a604c3] | 1199 | mpz_clear(x->n); |
---|
[3ccafbf] | 1200 | x->s=3; |
---|
[246d15] | 1201 | x=nlShort3_noinline(x); |
---|
[3ccafbf] | 1202 | } |
---|
[eb059c5] | 1203 | } |
---|
[a604c3] | 1204 | mpz_clear(gcd); |
---|
[35aab3] | 1205 | } |
---|
| 1206 | } |
---|
[2b957a] | 1207 | nlTest(x, r); |
---|
[35aab3] | 1208 | } |
---|
| 1209 | |
---|
| 1210 | /*2 |
---|
| 1211 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1212 | */ |
---|
[a642c64] | 1213 | number nlLcm(number a, number b, const coeffs r) |
---|
[35aab3] | 1214 | { |
---|
| 1215 | number result; |
---|
[2b957a] | 1216 | nlTest(a, r); |
---|
| 1217 | nlTest(b, r); |
---|
[35aab3] | 1218 | if ((SR_HDL(b) & SR_INT) |
---|
| 1219 | || (b->s==3)) |
---|
| 1220 | { |
---|
| 1221 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
[a642c64] | 1222 | return nlCopy(a,r); |
---|
[35aab3] | 1223 | } |
---|
[896561] | 1224 | result=ALLOC_RNUMBER(); |
---|
[35aab3] | 1225 | #if defined(LDEBUG) |
---|
| 1226 | result->debug=123456; |
---|
| 1227 | #endif |
---|
| 1228 | result->s=3; |
---|
[a604c3] | 1229 | mpz_t gcd; |
---|
| 1230 | mpz_init(gcd); |
---|
| 1231 | mpz_init(result->z); |
---|
[35aab3] | 1232 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1233 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1234 | else |
---|
[a604c3] | 1235 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1236 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1237 | { |
---|
[a604c3] | 1238 | mpz_t bt; |
---|
| 1239 | mpz_init_set(bt,b->n); |
---|
| 1240 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1241 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1242 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1243 | else |
---|
[a604c3] | 1244 | mpz_mul(result->z,bt,a->z); |
---|
| 1245 | mpz_clear(bt); |
---|
[35aab3] | 1246 | } |
---|
| 1247 | else |
---|
| 1248 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1249 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1250 | else |
---|
[a604c3] | 1251 | mpz_mul(result->z,b->n,a->z); |
---|
| 1252 | mpz_clear(gcd); |
---|
[246d15] | 1253 | result=nlShort3(result); |
---|
[2b957a] | 1254 | nlTest(result, r); |
---|
[35aab3] | 1255 | return result; |
---|
| 1256 | } |
---|
| 1257 | |
---|
[a642c64] | 1258 | int nlModP(number n, int p, const coeffs r) |
---|
[35aab3] | 1259 | { |
---|
| 1260 | if (SR_HDL(n) & SR_INT) |
---|
| 1261 | { |
---|
[246d15] | 1262 | long i=SR_TO_INT(n); |
---|
| 1263 | if (i<0L) return (((long)p)-((-i)%((long)p))); |
---|
| 1264 | return i%((long)p); |
---|
[35aab3] | 1265 | } |
---|
[a604c3] | 1266 | int iz=(int)mpz_fdiv_ui(n->z,(unsigned long)p); |
---|
[35aab3] | 1267 | if (n->s!=3) |
---|
| 1268 | { |
---|
[a604c3] | 1269 | int in=mpz_fdiv_ui(n->n,(unsigned long)p); |
---|
[6c15ec] | 1270 | #ifdef NV_OPS |
---|
[371bc5f] | 1271 | if (p>NV_MAX_PRIME) |
---|
[a642c64] | 1272 | return (int)((long)nvDiv((number)iz,(number)in,(const coeffs)r)); |
---|
[6c15ec] | 1273 | #endif |
---|
[a642c64] | 1274 | return (int)((long)npDiv((number)iz,(number)in,(const coeffs)r)); |
---|
[35aab3] | 1275 | } |
---|
| 1276 | return iz; |
---|
| 1277 | } |
---|
| 1278 | |
---|
[894f5b1] | 1279 | #ifdef HAVE_RINGS |
---|
| 1280 | /*2 |
---|
[1919112] | 1281 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1282 | */ |
---|
[2518db] | 1283 | void nlGMP(number &i, number n, const coeffs r) |
---|
[894f5b1] | 1284 | { |
---|
| 1285 | // Hier brauche ich einfach die GMP Zahl |
---|
[2b957a] | 1286 | nlTest(i, r); |
---|
[2518db] | 1287 | nlNormalize(i, r); |
---|
[894f5b1] | 1288 | if (SR_HDL(i) & SR_INT) |
---|
| 1289 | { |
---|
[246d15] | 1290 | mpz_set_si((mpz_ptr) n, SR_TO_INT(i)); |
---|
[0959dc] | 1291 | return; |
---|
[894f5b1] | 1292 | } |
---|
| 1293 | if (i->s!=3) |
---|
| 1294 | { |
---|
| 1295 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1296 | } |
---|
[a604c3] | 1297 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1298 | } |
---|
| 1299 | #endif |
---|
| 1300 | |
---|
[35aab3] | 1301 | /*2 |
---|
| 1302 | * acces to denominator, other 1 for integers |
---|
| 1303 | */ |
---|
[a642c64] | 1304 | number nlGetDenom(number &n, const coeffs r) |
---|
[35aab3] | 1305 | { |
---|
| 1306 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1307 | { |
---|
| 1308 | if (n->s==0) |
---|
| 1309 | { |
---|
[a642c64] | 1310 | nlNormalize(n,r); |
---|
[35aab3] | 1311 | } |
---|
| 1312 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1313 | { |
---|
| 1314 | if (n->s!=3) |
---|
| 1315 | { |
---|
[896561] | 1316 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1317 | u->s=3; |
---|
| 1318 | #if defined(LDEBUG) |
---|
| 1319 | u->debug=123456; |
---|
| 1320 | #endif |
---|
[a604c3] | 1321 | mpz_init_set(u->z,n->n); |
---|
[246d15] | 1322 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1323 | return u; |
---|
| 1324 | } |
---|
| 1325 | } |
---|
| 1326 | } |
---|
| 1327 | return INT_TO_SR(1); |
---|
| 1328 | } |
---|
| 1329 | |
---|
| 1330 | /*2 |
---|
| 1331 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1332 | */ |
---|
[a642c64] | 1333 | number nlGetNumerator(number &n, const coeffs r) |
---|
[35aab3] | 1334 | { |
---|
| 1335 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1336 | { |
---|
| 1337 | if (n->s==0) |
---|
| 1338 | { |
---|
[a642c64] | 1339 | nlNormalize(n,r); |
---|
[35aab3] | 1340 | } |
---|
| 1341 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1342 | { |
---|
[896561] | 1343 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1344 | #if defined(LDEBUG) |
---|
| 1345 | u->debug=123456; |
---|
| 1346 | #endif |
---|
| 1347 | u->s=3; |
---|
[a604c3] | 1348 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1349 | if (n->s!=3) |
---|
| 1350 | { |
---|
[246d15] | 1351 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1352 | } |
---|
| 1353 | return u; |
---|
| 1354 | } |
---|
| 1355 | } |
---|
| 1356 | return n; // imm. int |
---|
| 1357 | } |
---|
| 1358 | |
---|
| 1359 | /*************************************************************** |
---|
| 1360 | * |
---|
| 1361 | * routines which are needed by Inline(d) routines |
---|
| 1362 | * |
---|
| 1363 | *******************************************************************/ |
---|
| 1364 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1365 | { |
---|
| 1366 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1367 | // long - short |
---|
| 1368 | BOOLEAN bo; |
---|
| 1369 | if (SR_HDL(b) & SR_INT) |
---|
| 1370 | { |
---|
| 1371 | if (a->s!=0) return FALSE; |
---|
| 1372 | number n=b; b=a; a=n; |
---|
| 1373 | } |
---|
| 1374 | // short - long |
---|
| 1375 | if (SR_HDL(a) & SR_INT) |
---|
| 1376 | { |
---|
| 1377 | if (b->s!=0) |
---|
| 1378 | return FALSE; |
---|
[a604c3] | 1379 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1380 | return FALSE; |
---|
[a604c3] | 1381 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1382 | return FALSE; |
---|
[a604c3] | 1383 | mpz_t bb; |
---|
| 1384 | mpz_init_set(bb,b->n); |
---|
| 1385 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1386 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1387 | mpz_clear(bb); |
---|
[35aab3] | 1388 | return bo; |
---|
| 1389 | } |
---|
| 1390 | // long - long |
---|
| 1391 | if (((a->s==1) && (b->s==3)) |
---|
| 1392 | || ((b->s==1) && (a->s==3))) |
---|
| 1393 | return FALSE; |
---|
[a604c3] | 1394 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1395 | return FALSE; |
---|
[a604c3] | 1396 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1397 | return FALSE; |
---|
[a604c3] | 1398 | mpz_t aa; |
---|
| 1399 | mpz_t bb; |
---|
| 1400 | mpz_init_set(aa,a->z); |
---|
| 1401 | mpz_init_set(bb,b->z); |
---|
| 1402 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1403 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1404 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1405 | mpz_clear(aa); |
---|
| 1406 | mpz_clear(bb); |
---|
[35aab3] | 1407 | return bo; |
---|
| 1408 | } |
---|
| 1409 | |
---|
| 1410 | // copy not immediate number a |
---|
[e69b7c] | 1411 | number _nlCopy_NoImm(number a) |
---|
[35aab3] | 1412 | { |
---|
| 1413 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
[e69b7c] | 1414 | //nlTest(a, r); |
---|
[896561] | 1415 | number b=ALLOC_RNUMBER(); |
---|
[35aab3] | 1416 | #if defined(LDEBUG) |
---|
| 1417 | b->debug=123456; |
---|
| 1418 | #endif |
---|
| 1419 | switch (a->s) |
---|
| 1420 | { |
---|
| 1421 | case 0: |
---|
| 1422 | case 1: |
---|
[a604c3] | 1423 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1424 | case 3: |
---|
[a604c3] | 1425 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1426 | break; |
---|
| 1427 | } |
---|
| 1428 | b->s = a->s; |
---|
| 1429 | return b; |
---|
| 1430 | } |
---|
| 1431 | |
---|
[fee4c2] | 1432 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1433 | { |
---|
| 1434 | { |
---|
| 1435 | switch ((*a)->s) |
---|
| 1436 | { |
---|
| 1437 | case 0: |
---|
| 1438 | case 1: |
---|
[a604c3] | 1439 | mpz_clear((*a)->n); |
---|
[35aab3] | 1440 | case 3: |
---|
[a604c3] | 1441 | mpz_clear((*a)->z); |
---|
[35aab3] | 1442 | #ifdef LDEBUG |
---|
| 1443 | (*a)->s=2; |
---|
| 1444 | #endif |
---|
| 1445 | } |
---|
[7d90aa] | 1446 | omFreeBin((void *) *a, rnumber_bin); |
---|
[35aab3] | 1447 | } |
---|
| 1448 | } |
---|
| 1449 | |
---|
[e69b7c] | 1450 | number _nlNeg_NoImm(number a) |
---|
[35aab3] | 1451 | { |
---|
| 1452 | { |
---|
[a604c3] | 1453 | mpz_neg(a->z,a->z); |
---|
[246d15] | 1454 | if (a->s==3) |
---|
[35aab3] | 1455 | { |
---|
[246d15] | 1456 | a=nlShort3(a); |
---|
[35aab3] | 1457 | } |
---|
| 1458 | } |
---|
| 1459 | return a; |
---|
| 1460 | } |
---|
| 1461 | |
---|
[e69b7c] | 1462 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1463 | { |
---|
[896561] | 1464 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1465 | #if defined(LDEBUG) |
---|
| 1466 | u->debug=123456; |
---|
| 1467 | #endif |
---|
[a604c3] | 1468 | mpz_init(u->z); |
---|
[35aab3] | 1469 | if (SR_HDL(b) & SR_INT) |
---|
| 1470 | { |
---|
| 1471 | number x=a; |
---|
| 1472 | a=b; |
---|
| 1473 | b=x; |
---|
| 1474 | } |
---|
| 1475 | if (SR_HDL(a) & SR_INT) |
---|
| 1476 | { |
---|
| 1477 | switch (b->s) |
---|
| 1478 | { |
---|
| 1479 | case 0: |
---|
| 1480 | case 1:/* a:short, b:1 */ |
---|
| 1481 | { |
---|
[a604c3] | 1482 | mpz_t x; |
---|
| 1483 | mpz_init(x); |
---|
| 1484 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1485 | mpz_add(u->z,b->z,x); |
---|
| 1486 | mpz_clear(x); |
---|
| 1487 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1488 | { |
---|
[a604c3] | 1489 | mpz_clear(u->z); |
---|
[896561] | 1490 | FREE_RNUMBER(u); |
---|
[35aab3] | 1491 | return INT_TO_SR(0); |
---|
| 1492 | } |
---|
[a604c3] | 1493 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1494 | { |
---|
[a604c3] | 1495 | mpz_clear(u->z); |
---|
[896561] | 1496 | FREE_RNUMBER(u); |
---|
[35aab3] | 1497 | return INT_TO_SR(1); |
---|
| 1498 | } |
---|
[a604c3] | 1499 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1500 | u->s = 0; |
---|
| 1501 | break; |
---|
| 1502 | } |
---|
| 1503 | case 3: |
---|
| 1504 | { |
---|
[7447d8] | 1505 | if ((long)a>0L) |
---|
[a604c3] | 1506 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1507 | else |
---|
[a604c3] | 1508 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1509 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1510 | { |
---|
[a604c3] | 1511 | mpz_clear(u->z); |
---|
[896561] | 1512 | FREE_RNUMBER(u); |
---|
[35aab3] | 1513 | return INT_TO_SR(0); |
---|
| 1514 | } |
---|
| 1515 | u->s = 3; |
---|
[246d15] | 1516 | u=nlShort3(u); |
---|
[35aab3] | 1517 | break; |
---|
| 1518 | } |
---|
| 1519 | } |
---|
| 1520 | } |
---|
| 1521 | else |
---|
| 1522 | { |
---|
| 1523 | switch (a->s) |
---|
| 1524 | { |
---|
| 1525 | case 0: |
---|
| 1526 | case 1: |
---|
| 1527 | { |
---|
| 1528 | switch(b->s) |
---|
| 1529 | { |
---|
| 1530 | case 0: |
---|
| 1531 | case 1: |
---|
| 1532 | { |
---|
[a604c3] | 1533 | mpz_t x; |
---|
| 1534 | mpz_init(x); |
---|
[e8a0aa] | 1535 | |
---|
[a604c3] | 1536 | mpz_mul(x,b->z,a->n); |
---|
| 1537 | mpz_mul(u->z,a->z,b->n); |
---|
| 1538 | mpz_add(u->z,u->z,x); |
---|
| 1539 | mpz_clear(x); |
---|
[e8a0aa] | 1540 | |
---|
[a604c3] | 1541 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1542 | { |
---|
[a604c3] | 1543 | mpz_clear(u->z); |
---|
[896561] | 1544 | FREE_RNUMBER(u); |
---|
[35aab3] | 1545 | return INT_TO_SR(0); |
---|
| 1546 | } |
---|
[a604c3] | 1547 | mpz_init(u->n); |
---|
| 1548 | mpz_mul(u->n,a->n,b->n); |
---|
| 1549 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1550 | { |
---|
[a604c3] | 1551 | mpz_clear(u->z); |
---|
| 1552 | mpz_clear(u->n); |
---|
[896561] | 1553 | FREE_RNUMBER(u); |
---|
[35aab3] | 1554 | return INT_TO_SR(1); |
---|
| 1555 | } |
---|
| 1556 | u->s = 0; |
---|
| 1557 | break; |
---|
| 1558 | } |
---|
| 1559 | case 3: /* a:1 b:3 */ |
---|
| 1560 | { |
---|
[a604c3] | 1561 | mpz_mul(u->z,b->z,a->n); |
---|
| 1562 | mpz_add(u->z,u->z,a->z); |
---|
| 1563 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1564 | { |
---|
[a604c3] | 1565 | mpz_clear(u->z); |
---|
[896561] | 1566 | FREE_RNUMBER(u); |
---|
[35aab3] | 1567 | return INT_TO_SR(0); |
---|
| 1568 | } |
---|
[a604c3] | 1569 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1570 | { |
---|
[a604c3] | 1571 | mpz_clear(u->z); |
---|
[896561] | 1572 | FREE_RNUMBER(u); |
---|
[35aab3] | 1573 | return INT_TO_SR(1); |
---|
| 1574 | } |
---|
[a604c3] | 1575 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1576 | u->s = 0; |
---|
| 1577 | break; |
---|
| 1578 | } |
---|
| 1579 | } /*switch (b->s) */ |
---|
| 1580 | break; |
---|
| 1581 | } |
---|
| 1582 | case 3: |
---|
| 1583 | { |
---|
| 1584 | switch(b->s) |
---|
| 1585 | { |
---|
| 1586 | case 0: |
---|
| 1587 | case 1:/* a:3, b:1 */ |
---|
| 1588 | { |
---|
[a604c3] | 1589 | mpz_mul(u->z,a->z,b->n); |
---|
| 1590 | mpz_add(u->z,u->z,b->z); |
---|
| 1591 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1592 | { |
---|
[a604c3] | 1593 | mpz_clear(u->z); |
---|
[896561] | 1594 | FREE_RNUMBER(u); |
---|
[35aab3] | 1595 | return INT_TO_SR(0); |
---|
| 1596 | } |
---|
[a604c3] | 1597 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1598 | { |
---|
[a604c3] | 1599 | mpz_clear(u->z); |
---|
[896561] | 1600 | FREE_RNUMBER(u); |
---|
[35aab3] | 1601 | return INT_TO_SR(1); |
---|
| 1602 | } |
---|
[a604c3] | 1603 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1604 | u->s = 0; |
---|
| 1605 | break; |
---|
| 1606 | } |
---|
| 1607 | case 3: |
---|
| 1608 | { |
---|
[a604c3] | 1609 | mpz_add(u->z,a->z,b->z); |
---|
| 1610 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1611 | { |
---|
[a604c3] | 1612 | mpz_clear(u->z); |
---|
[896561] | 1613 | FREE_RNUMBER(u); |
---|
[35aab3] | 1614 | return INT_TO_SR(0); |
---|
| 1615 | } |
---|
| 1616 | u->s = 3; |
---|
[246d15] | 1617 | u=nlShort3(u); |
---|
[35aab3] | 1618 | break; |
---|
| 1619 | } |
---|
| 1620 | } |
---|
| 1621 | break; |
---|
| 1622 | } |
---|
| 1623 | } |
---|
| 1624 | } |
---|
| 1625 | return u; |
---|
| 1626 | } |
---|
| 1627 | |
---|
[e69b7c] | 1628 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1629 | { |
---|
[896561] | 1630 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1631 | #if defined(LDEBUG) |
---|
| 1632 | u->debug=123456; |
---|
| 1633 | #endif |
---|
[a604c3] | 1634 | mpz_init(u->z); |
---|
[35aab3] | 1635 | if (SR_HDL(a) & SR_INT) |
---|
| 1636 | { |
---|
| 1637 | switch (b->s) |
---|
| 1638 | { |
---|
| 1639 | case 0: |
---|
| 1640 | case 1:/* a:short, b:1 */ |
---|
| 1641 | { |
---|
[a604c3] | 1642 | mpz_t x; |
---|
| 1643 | mpz_init(x); |
---|
| 1644 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1645 | mpz_sub(u->z,x,b->z); |
---|
| 1646 | mpz_clear(x); |
---|
| 1647 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1648 | { |
---|
[a604c3] | 1649 | mpz_clear(u->z); |
---|
[896561] | 1650 | FREE_RNUMBER(u); |
---|
[35aab3] | 1651 | return INT_TO_SR(0); |
---|
| 1652 | } |
---|
[a604c3] | 1653 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1654 | { |
---|
[a604c3] | 1655 | mpz_clear(u->z); |
---|
[896561] | 1656 | FREE_RNUMBER(u); |
---|
[35aab3] | 1657 | return INT_TO_SR(1); |
---|
| 1658 | } |
---|
[a604c3] | 1659 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1660 | u->s = 0; |
---|
| 1661 | break; |
---|
| 1662 | } |
---|
| 1663 | case 3: |
---|
| 1664 | { |
---|
[7447d8] | 1665 | if ((long)a>0L) |
---|
[35aab3] | 1666 | { |
---|
[a604c3] | 1667 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1668 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1669 | } |
---|
| 1670 | else |
---|
| 1671 | { |
---|
[a604c3] | 1672 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1673 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1674 | } |
---|
[a604c3] | 1675 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1676 | { |
---|
[a604c3] | 1677 | mpz_clear(u->z); |
---|
[896561] | 1678 | FREE_RNUMBER(u); |
---|
[35aab3] | 1679 | return INT_TO_SR(0); |
---|
| 1680 | } |
---|
| 1681 | u->s = 3; |
---|
[246d15] | 1682 | u=nlShort3(u); |
---|
[35aab3] | 1683 | break; |
---|
| 1684 | } |
---|
| 1685 | } |
---|
| 1686 | } |
---|
| 1687 | else if (SR_HDL(b) & SR_INT) |
---|
| 1688 | { |
---|
| 1689 | switch (a->s) |
---|
| 1690 | { |
---|
| 1691 | case 0: |
---|
| 1692 | case 1:/* b:short, a:1 */ |
---|
| 1693 | { |
---|
[a604c3] | 1694 | mpz_t x; |
---|
| 1695 | mpz_init(x); |
---|
| 1696 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1697 | mpz_sub(u->z,a->z,x); |
---|
| 1698 | mpz_clear(x); |
---|
| 1699 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1700 | { |
---|
[a604c3] | 1701 | mpz_clear(u->z); |
---|
[896561] | 1702 | FREE_RNUMBER(u); |
---|
[35aab3] | 1703 | return INT_TO_SR(0); |
---|
| 1704 | } |
---|
[a604c3] | 1705 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1706 | { |
---|
[a604c3] | 1707 | mpz_clear(u->z); |
---|
[896561] | 1708 | FREE_RNUMBER(u); |
---|
[35aab3] | 1709 | return INT_TO_SR(1); |
---|
| 1710 | } |
---|
[a604c3] | 1711 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1712 | u->s = 0; |
---|
| 1713 | break; |
---|
| 1714 | } |
---|
| 1715 | case 3: |
---|
| 1716 | { |
---|
[7447d8] | 1717 | if ((long)b>0L) |
---|
[35aab3] | 1718 | { |
---|
[a604c3] | 1719 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1720 | } |
---|
| 1721 | else |
---|
| 1722 | { |
---|
[a604c3] | 1723 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1724 | } |
---|
[a604c3] | 1725 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1726 | { |
---|
[a604c3] | 1727 | mpz_clear(u->z); |
---|
[896561] | 1728 | FREE_RNUMBER(u); |
---|
[35aab3] | 1729 | return INT_TO_SR(0); |
---|
| 1730 | } |
---|
| 1731 | u->s = 3; |
---|
[246d15] | 1732 | u=nlShort3(u); |
---|
[35aab3] | 1733 | break; |
---|
| 1734 | } |
---|
| 1735 | } |
---|
| 1736 | } |
---|
| 1737 | else |
---|
| 1738 | { |
---|
| 1739 | switch (a->s) |
---|
| 1740 | { |
---|
| 1741 | case 0: |
---|
| 1742 | case 1: |
---|
| 1743 | { |
---|
| 1744 | switch(b->s) |
---|
| 1745 | { |
---|
| 1746 | case 0: |
---|
| 1747 | case 1: |
---|
| 1748 | { |
---|
[a604c3] | 1749 | mpz_t x; |
---|
| 1750 | mpz_t y; |
---|
| 1751 | mpz_init(x); |
---|
| 1752 | mpz_init(y); |
---|
| 1753 | mpz_mul(x,b->z,a->n); |
---|
| 1754 | mpz_mul(y,a->z,b->n); |
---|
| 1755 | mpz_sub(u->z,y,x); |
---|
| 1756 | mpz_clear(x); |
---|
| 1757 | mpz_clear(y); |
---|
| 1758 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1759 | { |
---|
[a604c3] | 1760 | mpz_clear(u->z); |
---|
[896561] | 1761 | FREE_RNUMBER(u); |
---|
[35aab3] | 1762 | return INT_TO_SR(0); |
---|
| 1763 | } |
---|
[a604c3] | 1764 | mpz_init(u->n); |
---|
| 1765 | mpz_mul(u->n,a->n,b->n); |
---|
| 1766 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1767 | { |
---|
[a604c3] | 1768 | mpz_clear(u->z); |
---|
| 1769 | mpz_clear(u->n); |
---|
[896561] | 1770 | FREE_RNUMBER(u); |
---|
[35aab3] | 1771 | return INT_TO_SR(1); |
---|
| 1772 | } |
---|
| 1773 | u->s = 0; |
---|
| 1774 | break; |
---|
| 1775 | } |
---|
| 1776 | case 3: /* a:1, b:3 */ |
---|
| 1777 | { |
---|
[a604c3] | 1778 | mpz_t x; |
---|
| 1779 | mpz_init(x); |
---|
| 1780 | mpz_mul(x,b->z,a->n); |
---|
| 1781 | mpz_sub(u->z,a->z,x); |
---|
| 1782 | mpz_clear(x); |
---|
| 1783 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1784 | { |
---|
[a604c3] | 1785 | mpz_clear(u->z); |
---|
[896561] | 1786 | FREE_RNUMBER(u); |
---|
[35aab3] | 1787 | return INT_TO_SR(0); |
---|
| 1788 | } |
---|
[a604c3] | 1789 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1790 | { |
---|
[a604c3] | 1791 | mpz_clear(u->z); |
---|
[896561] | 1792 | FREE_RNUMBER(u); |
---|
[35aab3] | 1793 | return INT_TO_SR(1); |
---|
| 1794 | } |
---|
[a604c3] | 1795 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1796 | u->s = 0; |
---|
| 1797 | break; |
---|
| 1798 | } |
---|
| 1799 | } |
---|
| 1800 | break; |
---|
| 1801 | } |
---|
| 1802 | case 3: |
---|
| 1803 | { |
---|
| 1804 | switch(b->s) |
---|
| 1805 | { |
---|
| 1806 | case 0: |
---|
| 1807 | case 1: /* a:3, b:1 */ |
---|
| 1808 | { |
---|
[a604c3] | 1809 | mpz_t x; |
---|
| 1810 | mpz_init(x); |
---|
| 1811 | mpz_mul(x,a->z,b->n); |
---|
| 1812 | mpz_sub(u->z,x,b->z); |
---|
| 1813 | mpz_clear(x); |
---|
| 1814 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1815 | { |
---|
[a604c3] | 1816 | mpz_clear(u->z); |
---|
[896561] | 1817 | FREE_RNUMBER(u); |
---|
[35aab3] | 1818 | return INT_TO_SR(0); |
---|
| 1819 | } |
---|
[a604c3] | 1820 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1821 | { |
---|
[a604c3] | 1822 | mpz_clear(u->z); |
---|
[896561] | 1823 | FREE_RNUMBER(u); |
---|
[35aab3] | 1824 | return INT_TO_SR(1); |
---|
| 1825 | } |
---|
[a604c3] | 1826 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1827 | u->s = 0; |
---|
| 1828 | break; |
---|
| 1829 | } |
---|
| 1830 | case 3: /* a:3 , b:3 */ |
---|
| 1831 | { |
---|
[a604c3] | 1832 | mpz_sub(u->z,a->z,b->z); |
---|
| 1833 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1834 | { |
---|
[a604c3] | 1835 | mpz_clear(u->z); |
---|
[896561] | 1836 | FREE_RNUMBER(u); |
---|
[35aab3] | 1837 | return INT_TO_SR(0); |
---|
| 1838 | } |
---|
| 1839 | u->s = 3; |
---|
[246d15] | 1840 | u=nlShort3(u); |
---|
[35aab3] | 1841 | break; |
---|
| 1842 | } |
---|
| 1843 | } |
---|
| 1844 | break; |
---|
| 1845 | } |
---|
| 1846 | } |
---|
| 1847 | } |
---|
| 1848 | return u; |
---|
| 1849 | } |
---|
| 1850 | |
---|
| 1851 | // a and b are intermediate, but a*b not |
---|
[e69b7c] | 1852 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
[35aab3] | 1853 | { |
---|
[896561] | 1854 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1855 | #if defined(LDEBUG) |
---|
| 1856 | u->debug=123456; |
---|
| 1857 | #endif |
---|
| 1858 | u->s=3; |
---|
[246d15] | 1859 | mpz_init_set_si(u->z,SR_TO_INT(a)); |
---|
| 1860 | mpz_mul_si(u->z,u->z,SR_TO_INT(b)); |
---|
[35aab3] | 1861 | return u; |
---|
| 1862 | } |
---|
| 1863 | |
---|
| 1864 | // a or b are not immediate |
---|
[e69b7c] | 1865 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1866 | { |
---|
| 1867 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
[896561] | 1868 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1869 | #if defined(LDEBUG) |
---|
| 1870 | u->debug=123456; |
---|
| 1871 | #endif |
---|
[a604c3] | 1872 | mpz_init(u->z); |
---|
[35aab3] | 1873 | if (SR_HDL(b) & SR_INT) |
---|
| 1874 | { |
---|
| 1875 | number x=a; |
---|
| 1876 | a=b; |
---|
| 1877 | b=x; |
---|
| 1878 | } |
---|
| 1879 | if (SR_HDL(a) & SR_INT) |
---|
| 1880 | { |
---|
| 1881 | u->s=b->s; |
---|
| 1882 | if (u->s==1) u->s=0; |
---|
[7447d8] | 1883 | if ((long)a>0L) |
---|
[35aab3] | 1884 | { |
---|
[a604c3] | 1885 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 1886 | } |
---|
| 1887 | else |
---|
| 1888 | { |
---|
| 1889 | if (a==INT_TO_SR(-1)) |
---|
| 1890 | { |
---|
[a604c3] | 1891 | mpz_set(u->z,b->z); |
---|
| 1892 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1893 | u->s=b->s; |
---|
| 1894 | } |
---|
| 1895 | else |
---|
| 1896 | { |
---|
[a604c3] | 1897 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 1898 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1899 | } |
---|
| 1900 | } |
---|
| 1901 | if (u->s<2) |
---|
| 1902 | { |
---|
[a604c3] | 1903 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1904 | { |
---|
[a604c3] | 1905 | mpz_clear(u->z); |
---|
[896561] | 1906 | FREE_RNUMBER(u); |
---|
[35aab3] | 1907 | return INT_TO_SR(1); |
---|
| 1908 | } |
---|
[a604c3] | 1909 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1910 | } |
---|
| 1911 | else //u->s==3 |
---|
| 1912 | { |
---|
[246d15] | 1913 | u=nlShort3(u); |
---|
[35aab3] | 1914 | } |
---|
| 1915 | } |
---|
| 1916 | else |
---|
| 1917 | { |
---|
[a604c3] | 1918 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 1919 | u->s = 0; |
---|
| 1920 | if(a->s==3) |
---|
| 1921 | { |
---|
| 1922 | if(b->s==3) |
---|
| 1923 | { |
---|
| 1924 | u->s = 3; |
---|
| 1925 | } |
---|
| 1926 | else |
---|
| 1927 | { |
---|
[a604c3] | 1928 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1929 | { |
---|
[a604c3] | 1930 | mpz_clear(u->z); |
---|
[896561] | 1931 | FREE_RNUMBER(u); |
---|
[35aab3] | 1932 | return INT_TO_SR(1); |
---|
| 1933 | } |
---|
[a604c3] | 1934 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1935 | } |
---|
| 1936 | } |
---|
| 1937 | else |
---|
| 1938 | { |
---|
| 1939 | if(b->s==3) |
---|
| 1940 | { |
---|
[a604c3] | 1941 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1942 | { |
---|
[a604c3] | 1943 | mpz_clear(u->z); |
---|
[896561] | 1944 | FREE_RNUMBER(u); |
---|
[35aab3] | 1945 | return INT_TO_SR(1); |
---|
| 1946 | } |
---|
[a604c3] | 1947 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1948 | } |
---|
| 1949 | else |
---|
| 1950 | { |
---|
[a604c3] | 1951 | mpz_init(u->n); |
---|
| 1952 | mpz_mul(u->n,a->n,b->n); |
---|
| 1953 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1954 | { |
---|
[a604c3] | 1955 | mpz_clear(u->z); |
---|
| 1956 | mpz_clear(u->n); |
---|
[896561] | 1957 | FREE_RNUMBER(u); |
---|
[35aab3] | 1958 | return INT_TO_SR(1); |
---|
| 1959 | } |
---|
| 1960 | } |
---|
| 1961 | } |
---|
| 1962 | } |
---|
| 1963 | return u; |
---|
| 1964 | } |
---|
| 1965 | |
---|
[371bc5f] | 1966 | /*2 |
---|
[fa31d2] | 1967 | * copy a to b for mapping |
---|
[371bc5f] | 1968 | */ |
---|
[fa31d2] | 1969 | number nlCopyMap(number a, const coeffs src, const coeffs dst) |
---|
[371bc5f] | 1970 | { |
---|
[fa31d2] | 1971 | assume( getCoeffType(dst) == ID ); |
---|
| 1972 | assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 1973 | |
---|
[371bc5f] | 1974 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 1975 | { |
---|
| 1976 | return a; |
---|
| 1977 | } |
---|
[e69b7c] | 1978 | return _nlCopy_NoImm(a); |
---|
[371bc5f] | 1979 | } |
---|
[2b957a] | 1980 | |
---|
[371bc5f] | 1981 | nMapFunc nlSetMap(const coeffs src, const coeffs dst) |
---|
| 1982 | { |
---|
[fa31d2] | 1983 | assume( getCoeffType(dst) == ID ); |
---|
[2b957a] | 1984 | // assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 1985 | |
---|
[1cce47] | 1986 | if (nCoeff_is_Q(src)) |
---|
[371bc5f] | 1987 | { |
---|
| 1988 | return nlCopyMap; |
---|
| 1989 | } |
---|
[1cce47] | 1990 | if (nCoeff_is_Zp(src)) |
---|
[371bc5f] | 1991 | { |
---|
| 1992 | return nlMapP; |
---|
| 1993 | } |
---|
[1cce47] | 1994 | if (nCoeff_is_R(src)) |
---|
[371bc5f] | 1995 | { |
---|
| 1996 | return nlMapR; |
---|
| 1997 | } |
---|
[1cce47] | 1998 | if (nCoeff_is_long_R(src)) |
---|
[371bc5f] | 1999 | { |
---|
| 2000 | return nlMapLongR; /* long R -> Q */ |
---|
| 2001 | } |
---|
| 2002 | #ifdef HAVE_RINGS |
---|
[1cce47] | 2003 | if (nCoeff_is_Ring_Z(src) || nCoeff_is_Ring_PtoM(src) || nCoeff_is_Ring_ModN(src)) |
---|
[371bc5f] | 2004 | { |
---|
| 2005 | return nlMapGMP; |
---|
| 2006 | } |
---|
[1cce47] | 2007 | if (nCoeff_is_Ring_2toM(src)) |
---|
[371bc5f] | 2008 | { |
---|
| 2009 | return nlMapMachineInt; |
---|
| 2010 | } |
---|
| 2011 | #endif |
---|
| 2012 | return NULL; |
---|
| 2013 | } |
---|
[35aab3] | 2014 | /*2 |
---|
| 2015 | * z := i |
---|
| 2016 | */ |
---|
[246d15] | 2017 | number nlRInit (long i) |
---|
[35aab3] | 2018 | { |
---|
[896561] | 2019 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2020 | #if defined(LDEBUG) |
---|
| 2021 | z->debug=123456; |
---|
| 2022 | #endif |
---|
[246d15] | 2023 | mpz_init_set_si(z->z,i); |
---|
[35aab3] | 2024 | z->s = 3; |
---|
| 2025 | return z; |
---|
| 2026 | } |
---|
| 2027 | |
---|
| 2028 | /*2 |
---|
| 2029 | * z := i/j |
---|
| 2030 | */ |
---|
[a642c64] | 2031 | number nlInit2 (int i, int j, const coeffs r) |
---|
[35aab3] | 2032 | { |
---|
[896561] | 2033 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2034 | #if defined(LDEBUG) |
---|
| 2035 | z->debug=123456; |
---|
| 2036 | #endif |
---|
[a604c3] | 2037 | mpz_init_set_si(z->z,(long)i); |
---|
| 2038 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 2039 | z->s = 0; |
---|
[a642c64] | 2040 | nlNormalize(z,r); |
---|
[35aab3] | 2041 | return z; |
---|
| 2042 | } |
---|
| 2043 | |
---|
[a642c64] | 2044 | number nlInit2gmp (mpz_t i, mpz_t j, const coeffs r) |
---|
[a1ab2a] | 2045 | { |
---|
[896561] | 2046 | number z=ALLOC_RNUMBER(); |
---|
[a1ab2a] | 2047 | #if defined(LDEBUG) |
---|
| 2048 | z->debug=123456; |
---|
| 2049 | #endif |
---|
[a604c3] | 2050 | mpz_init_set(z->z,i); |
---|
| 2051 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 2052 | z->s = 0; |
---|
[a642c64] | 2053 | nlNormalize(z,r); |
---|
[a1ab2a] | 2054 | return z; |
---|
| 2055 | } |
---|
| 2056 | |
---|
[35aab3] | 2057 | #else // DO_LINLINE |
---|
| 2058 | |
---|
| 2059 | // declare immedate routines |
---|
| 2060 | number nlRInit (int i); |
---|
| 2061 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2062 | number _nlCopy_NoImm(number a); |
---|
| 2063 | number _nlNeg_NoImm(number a); |
---|
| 2064 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2065 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2066 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2067 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 2068 | |
---|
| 2069 | #endif |
---|
| 2070 | |
---|
| 2071 | /*************************************************************** |
---|
| 2072 | * |
---|
| 2073 | * Routines which might be inlined by p_Numbers.h |
---|
| 2074 | * |
---|
| 2075 | *******************************************************************/ |
---|
| 2076 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 2077 | |
---|
| 2078 | // routines which are always inlined/static |
---|
| 2079 | |
---|
| 2080 | /*2 |
---|
| 2081 | * a = b ? |
---|
| 2082 | */ |
---|
[2b957a] | 2083 | LINLINE BOOLEAN nlEqual (number a, number b, const coeffs r) |
---|
[35aab3] | 2084 | { |
---|
[2b957a] | 2085 | nlTest(a, r); |
---|
| 2086 | nlTest(b, r); |
---|
[35aab3] | 2087 | // short - short |
---|
| 2088 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 2089 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 2090 | } |
---|
| 2091 | |
---|
| 2092 | |
---|
[a642c64] | 2093 | LINLINE number nlInit (int i, const coeffs r) |
---|
[35aab3] | 2094 | { |
---|
| 2095 | number n; |
---|
[246d15] | 2096 | LONG ii=(LONG)i; |
---|
| 2097 | if ( ((ii << 3) >> 3) == ii ) n=INT_TO_SR(ii); |
---|
| 2098 | else n=nlRInit(ii); |
---|
[2b957a] | 2099 | nlTest(n, r); |
---|
[35aab3] | 2100 | return n; |
---|
| 2101 | } |
---|
| 2102 | |
---|
| 2103 | |
---|
| 2104 | /*2 |
---|
| 2105 | * a == 1 ? |
---|
| 2106 | */ |
---|
[2b957a] | 2107 | LINLINE BOOLEAN nlIsOne (number a, const coeffs r) |
---|
[35aab3] | 2108 | { |
---|
| 2109 | #ifdef LDEBUG |
---|
| 2110 | if (a==NULL) return FALSE; |
---|
[2b957a] | 2111 | nlTest(a, r); |
---|
[35aab3] | 2112 | #endif |
---|
[89ca47] | 2113 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 2114 | } |
---|
| 2115 | |
---|
[121fd9] | 2116 | LINLINE BOOLEAN nlIsZero (number a, const coeffs) |
---|
[35aab3] | 2117 | { |
---|
| 2118 | return (a==INT_TO_SR(0)); |
---|
[a604c3] | 2119 | //return (mpz_cmp_si(a->z,(long)0)==0); |
---|
[35aab3] | 2120 | } |
---|
| 2121 | |
---|
| 2122 | /*2 |
---|
| 2123 | * copy a to b |
---|
| 2124 | */ |
---|
[121fd9] | 2125 | LINLINE number nlCopy(number a, const coeffs) |
---|
[35aab3] | 2126 | { |
---|
| 2127 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2128 | { |
---|
| 2129 | return a; |
---|
| 2130 | } |
---|
[e69b7c] | 2131 | return _nlCopy_NoImm(a); |
---|
[35aab3] | 2132 | } |
---|
| 2133 | |
---|
| 2134 | |
---|
| 2135 | /*2 |
---|
| 2136 | * delete a |
---|
| 2137 | */ |
---|
[a642c64] | 2138 | LINLINE void nlDelete (number * a, const coeffs r) |
---|
[35aab3] | 2139 | { |
---|
| 2140 | if (*a!=NULL) |
---|
| 2141 | { |
---|
[2b957a] | 2142 | nlTest(*a, r); |
---|
[35aab3] | 2143 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2144 | { |
---|
[fee4c2] | 2145 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2146 | } |
---|
| 2147 | *a=NULL; |
---|
| 2148 | } |
---|
| 2149 | } |
---|
| 2150 | |
---|
| 2151 | /*2 |
---|
| 2152 | * za:= - za |
---|
| 2153 | */ |
---|
[e69b7c] | 2154 | LINLINE number nlNeg (number a, const coeffs R) |
---|
[35aab3] | 2155 | { |
---|
[e69b7c] | 2156 | nlTest(a, R); |
---|
[35aab3] | 2157 | if(SR_HDL(a) &SR_INT) |
---|
| 2158 | { |
---|
| 2159 | int r=SR_TO_INT(a); |
---|
[246d15] | 2160 | if (r==(-(POW_2_28))) a=nlRInit(POW_2_28); |
---|
[35aab3] | 2161 | else a=INT_TO_SR(-r); |
---|
| 2162 | return a; |
---|
| 2163 | } |
---|
[630ca9] | 2164 | a = _nlNeg_NoImm(a); |
---|
| 2165 | nlTest(a, R); |
---|
| 2166 | return a; |
---|
| 2167 | |
---|
[35aab3] | 2168 | } |
---|
| 2169 | |
---|
| 2170 | /*2 |
---|
| 2171 | * u:= a + b |
---|
| 2172 | */ |
---|
[e69b7c] | 2173 | LINLINE number nlAdd (number a, number b, const coeffs R) |
---|
[35aab3] | 2174 | { |
---|
| 2175 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2176 | { |
---|
[246d15] | 2177 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[35aab3] | 2178 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2179 | return (number)(long)r; |
---|
[35aab3] | 2180 | else |
---|
| 2181 | return nlRInit(SR_TO_INT(r)); |
---|
| 2182 | } |
---|
[630ca9] | 2183 | number u = _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2184 | nlTest(u, R); |
---|
| 2185 | return u; |
---|
[35aab3] | 2186 | } |
---|
| 2187 | |
---|
[18057e] | 2188 | number nlShort1(number a); |
---|
[246d15] | 2189 | number nlShort3_noinline(number x); |
---|
[e8a0aa] | 2190 | |
---|
[f59722] | 2191 | static inline number nlInpAdd_(number a, number b, const coeffs r) |
---|
[e8a0aa] | 2192 | { |
---|
| 2193 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2194 | { |
---|
[246d15] | 2195 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[e8a0aa] | 2196 | if ( ((r << 1) >> 1) == r ) |
---|
| 2197 | return (number)(long)r; |
---|
| 2198 | else |
---|
| 2199 | return nlRInit(SR_TO_INT(r)); |
---|
| 2200 | } |
---|
| 2201 | // a=a+b |
---|
| 2202 | if (SR_HDL(b) & SR_INT) |
---|
| 2203 | { |
---|
| 2204 | switch (a->s) |
---|
| 2205 | { |
---|
| 2206 | case 0: |
---|
| 2207 | case 1:/* b:short, a:1 */ |
---|
| 2208 | { |
---|
[a604c3] | 2209 | mpz_t x; |
---|
| 2210 | mpz_init(x); |
---|
| 2211 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 2212 | mpz_add(a->z,a->z,x); |
---|
| 2213 | mpz_clear(x); |
---|
[e8a0aa] | 2214 | a->s = 0; |
---|
[18057e] | 2215 | a=nlShort1(a); |
---|
[e8a0aa] | 2216 | break; |
---|
| 2217 | } |
---|
| 2218 | case 3: |
---|
| 2219 | { |
---|
| 2220 | if ((long)b>0L) |
---|
[a604c3] | 2221 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
[e8a0aa] | 2222 | else |
---|
[a604c3] | 2223 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
[e8a0aa] | 2224 | a->s = 3; |
---|
[246d15] | 2225 | a=nlShort3_noinline(a); |
---|
[e8a0aa] | 2226 | break; |
---|
| 2227 | } |
---|
| 2228 | } |
---|
| 2229 | return a; |
---|
| 2230 | } |
---|
| 2231 | if (SR_HDL(a) & SR_INT) |
---|
| 2232 | { |
---|
[896561] | 2233 | number u=ALLOC_RNUMBER(); |
---|
[e8a0aa] | 2234 | #if defined(LDEBUG) |
---|
| 2235 | u->debug=123456; |
---|
| 2236 | #endif |
---|
[a604c3] | 2237 | mpz_init(u->z); |
---|
[e8a0aa] | 2238 | switch (b->s) |
---|
| 2239 | { |
---|
| 2240 | case 0: |
---|
| 2241 | case 1:/* a:short, b:1 */ |
---|
| 2242 | { |
---|
[a604c3] | 2243 | mpz_t x; |
---|
| 2244 | mpz_init(x); |
---|
[e8a0aa] | 2245 | |
---|
[a604c3] | 2246 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 2247 | mpz_add(u->z,b->z,x); |
---|
| 2248 | mpz_clear(x); |
---|
[e8a0aa] | 2249 | // result cannot be 0, if coeffs are normalized |
---|
[a604c3] | 2250 | mpz_init_set(u->n,b->n); |
---|
[e8a0aa] | 2251 | u->s = 0; |
---|
[18057e] | 2252 | u=nlShort1(u); |
---|
[e8a0aa] | 2253 | break; |
---|
| 2254 | } |
---|
| 2255 | case 3: |
---|
| 2256 | { |
---|
| 2257 | if ((long)a>0L) |
---|
[a604c3] | 2258 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[e8a0aa] | 2259 | else |
---|
[a604c3] | 2260 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
[e8a0aa] | 2261 | // result cannot be 0, if coeffs are normalized |
---|
| 2262 | u->s = 3; |
---|
[246d15] | 2263 | u=nlShort3_noinline(u); |
---|
[e8a0aa] | 2264 | break; |
---|
| 2265 | } |
---|
| 2266 | } |
---|
[2b957a] | 2267 | nlTest(u, r); |
---|
[e8a0aa] | 2268 | return u; |
---|
| 2269 | } |
---|
| 2270 | else |
---|
| 2271 | { |
---|
| 2272 | switch (a->s) |
---|
| 2273 | { |
---|
| 2274 | case 0: |
---|
| 2275 | case 1: |
---|
| 2276 | { |
---|
| 2277 | switch(b->s) |
---|
| 2278 | { |
---|
| 2279 | case 0: |
---|
| 2280 | case 1: /* a:1 b:1 */ |
---|
| 2281 | { |
---|
[a604c3] | 2282 | mpz_t x; |
---|
| 2283 | mpz_t y; |
---|
| 2284 | mpz_init(x); |
---|
| 2285 | mpz_init(y); |
---|
| 2286 | mpz_mul(x,b->z,a->n); |
---|
| 2287 | mpz_mul(y,a->z,b->n); |
---|
| 2288 | mpz_add(a->z,x,y); |
---|
| 2289 | mpz_clear(x); |
---|
| 2290 | mpz_clear(y); |
---|
| 2291 | mpz_mul(a->n,a->n,b->n); |
---|
[e8a0aa] | 2292 | a->s = 0; |
---|
| 2293 | break; |
---|
| 2294 | } |
---|
| 2295 | case 3: /* a:1 b:3 */ |
---|
| 2296 | { |
---|
[a604c3] | 2297 | mpz_t x; |
---|
| 2298 | mpz_init(x); |
---|
| 2299 | mpz_mul(x,b->z,a->n); |
---|
| 2300 | mpz_add(a->z,a->z,x); |
---|
| 2301 | mpz_clear(x); |
---|
[e8a0aa] | 2302 | a->s = 0; |
---|
| 2303 | break; |
---|
| 2304 | } |
---|
| 2305 | } /*switch (b->s) */ |
---|
[18057e] | 2306 | a=nlShort1(a); |
---|
[e8a0aa] | 2307 | break; |
---|
| 2308 | } |
---|
| 2309 | case 3: |
---|
| 2310 | { |
---|
| 2311 | switch(b->s) |
---|
| 2312 | { |
---|
| 2313 | case 0: |
---|
| 2314 | case 1:/* a:3, b:1 */ |
---|
| 2315 | { |
---|
[a604c3] | 2316 | mpz_t x; |
---|
| 2317 | mpz_init(x); |
---|
| 2318 | mpz_mul(x,a->z,b->n); |
---|
| 2319 | mpz_add(a->z,b->z,x); |
---|
| 2320 | mpz_clear(x); |
---|
| 2321 | mpz_init_set(a->n,b->n); |
---|
[e8a0aa] | 2322 | a->s = 0; |
---|
[18057e] | 2323 | a=nlShort1(a); |
---|
[e8a0aa] | 2324 | break; |
---|
| 2325 | } |
---|
| 2326 | case 3: |
---|
| 2327 | { |
---|
[a604c3] | 2328 | mpz_add(a->z,a->z,b->z); |
---|
[e8a0aa] | 2329 | a->s = 3; |
---|
[246d15] | 2330 | a=nlShort3_noinline(a); |
---|
[e8a0aa] | 2331 | break; |
---|
| 2332 | } |
---|
| 2333 | } |
---|
| 2334 | break; |
---|
| 2335 | } |
---|
| 2336 | } |
---|
[2b957a] | 2337 | nlTest(a, r); |
---|
[e8a0aa] | 2338 | return a; |
---|
| 2339 | } |
---|
| 2340 | } |
---|
| 2341 | |
---|
[9f1a52] | 2342 | LINLINE void nlInpAdd(number &a, number b, const coeffs r) |
---|
| 2343 | { |
---|
| 2344 | a = nlInpAdd_(a, b, r); |
---|
| 2345 | } |
---|
| 2346 | |
---|
| 2347 | |
---|
[7dc3e1c] | 2348 | LINLINE number nlMult (number a, number b, const coeffs R) |
---|
[35aab3] | 2349 | { |
---|
[2b957a] | 2350 | nlTest(a, R); |
---|
| 2351 | nlTest(b, R); |
---|
[35aab3] | 2352 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2353 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2354 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2355 | { |
---|
[246d15] | 2356 | LONG r=(SR_HDL(a)-1L)*(SR_HDL(b)>>1); |
---|
| 2357 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1L)) |
---|
[35aab3] | 2358 | { |
---|
| 2359 | number u=((number) ((r>>1)+SR_INT)); |
---|
[246d15] | 2360 | if (((((LONG)SR_HDL(u))<<1)>>1)==SR_HDL(u)) return (u); |
---|
[35aab3] | 2361 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2362 | } |
---|
[630ca9] | 2363 | number u = _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2364 | nlTest(u, R); |
---|
| 2365 | return u; |
---|
[9bb5457] | 2366 | |
---|
[35aab3] | 2367 | } |
---|
[630ca9] | 2368 | number u = _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2369 | nlTest(u, R); |
---|
| 2370 | return u; |
---|
[9bb5457] | 2371 | |
---|
[35aab3] | 2372 | } |
---|
| 2373 | |
---|
| 2374 | |
---|
| 2375 | /*2 |
---|
| 2376 | * u:= a - b |
---|
| 2377 | */ |
---|
[a642c64] | 2378 | LINLINE number nlSub (number a, number b, const coeffs r) |
---|
[35aab3] | 2379 | { |
---|
| 2380 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2381 | { |
---|
[246d15] | 2382 | LONG r=SR_HDL(a)-SR_HDL(b)+1; |
---|
[35aab3] | 2383 | if ( ((r << 1) >> 1) == r ) |
---|
| 2384 | { |
---|
[246d15] | 2385 | return (number)(long)r; |
---|
[35aab3] | 2386 | } |
---|
| 2387 | else |
---|
| 2388 | return nlRInit(SR_TO_INT(r)); |
---|
| 2389 | } |
---|
[630ca9] | 2390 | number u = _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2391 | nlTest(u, r); |
---|
| 2392 | return u; |
---|
[9bb5457] | 2393 | |
---|
[35aab3] | 2394 | } |
---|
| 2395 | |
---|
[a642c64] | 2396 | LINLINE void nlInpMult(number &a, number b, const coeffs r) |
---|
[4e35a89] | 2397 | { |
---|
[896561] | 2398 | number aa=a; |
---|
| 2399 | if (((SR_HDL(b)|SR_HDL(aa))&SR_INT)) |
---|
[4e35a89] | 2400 | { |
---|
[a642c64] | 2401 | number n=nlMult(aa,b,r); |
---|
[4e35a89] | 2402 | nlDelete(&a,r); |
---|
| 2403 | a=n; |
---|
| 2404 | } |
---|
| 2405 | else |
---|
| 2406 | { |
---|
[896561] | 2407 | mpz_mul(aa->z,a->z,b->z); |
---|
| 2408 | if (aa->s==3) |
---|
[4e35a89] | 2409 | { |
---|
| 2410 | if(b->s!=3) |
---|
| 2411 | { |
---|
| 2412 | mpz_init_set(a->n,b->n); |
---|
| 2413 | a->s=0; |
---|
| 2414 | } |
---|
| 2415 | } |
---|
| 2416 | else |
---|
| 2417 | { |
---|
| 2418 | if(b->s!=3) |
---|
| 2419 | { |
---|
| 2420 | mpz_mul(a->n,a->n,b->n); |
---|
| 2421 | } |
---|
| 2422 | a->s=0; |
---|
| 2423 | } |
---|
| 2424 | } |
---|
| 2425 | } |
---|
[35aab3] | 2426 | #endif // DO_LINLINE |
---|
| 2427 | |
---|
| 2428 | #ifndef P_NUMBERS_H |
---|
| 2429 | |
---|
[a642c64] | 2430 | void nlInpGcd(number &a, number b, const coeffs r) |
---|
[35aab3] | 2431 | { |
---|
| 2432 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2433 | { |
---|
| 2434 | number n=nlGcd(a,b,r); |
---|
| 2435 | nlDelete(&a,r); |
---|
| 2436 | a=n; |
---|
| 2437 | } |
---|
| 2438 | else |
---|
| 2439 | { |
---|
[a604c3] | 2440 | mpz_gcd(a->z,a->z,b->z); |
---|
[246d15] | 2441 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2442 | } |
---|
| 2443 | } |
---|
[f59722] | 2444 | |
---|
[a642c64] | 2445 | void nlInpIntDiv(number &a, number b, const coeffs r) |
---|
[35aab3] | 2446 | { |
---|
| 2447 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2448 | { |
---|
[2b957a] | 2449 | number n=nlIntDiv(a,b, r); |
---|
[35aab3] | 2450 | nlDelete(&a,r); |
---|
| 2451 | a=n; |
---|
| 2452 | } |
---|
| 2453 | else |
---|
| 2454 | { |
---|
[a604c3] | 2455 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2456 | { |
---|
[a604c3] | 2457 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2458 | { |
---|
[a604c3] | 2459 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2460 | } |
---|
| 2461 | else |
---|
| 2462 | { |
---|
[a604c3] | 2463 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2464 | } |
---|
[a604c3] | 2465 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2466 | } |
---|
| 2467 | else |
---|
| 2468 | { |
---|
[a604c3] | 2469 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2470 | { |
---|
[a604c3] | 2471 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2472 | } |
---|
| 2473 | else |
---|
| 2474 | { |
---|
[a604c3] | 2475 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2476 | } |
---|
[a604c3] | 2477 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2478 | } |
---|
[a604c3] | 2479 | MPZ_DIV(a->z,a->z,b->z); |
---|
[246d15] | 2480 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2481 | } |
---|
| 2482 | } |
---|
| 2483 | |
---|
[a642c64] | 2484 | number nlFarey(number nN, number nP, const coeffs r) |
---|
[3149a5] | 2485 | { |
---|
[a604c3] | 2486 | mpz_t tmp; mpz_init(tmp); |
---|
| 2487 | mpz_t A,B,C,D,E,N,P; |
---|
| 2488 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2489 | else mpz_init_set(N,nN->z); |
---|
| 2490 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2491 | else mpz_init_set(P,nP->z); |
---|
| 2492 | assume(!mpz_isNeg(P)); |
---|
| 2493 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2494 | mpz_init_set_si(A,(long)0); |
---|
| 2495 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2496 | mpz_init_set_si(C,(long)0); |
---|
| 2497 | mpz_init(D); |
---|
| 2498 | mpz_init_set(E,P); |
---|
[3149a5] | 2499 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2500 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2501 | { |
---|
[a604c3] | 2502 | mpz_mul(tmp,N,N); |
---|
| 2503 | mpz_add(tmp,tmp,tmp); |
---|
| 2504 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2505 | { |
---|
| 2506 | // return N/B |
---|
[896561] | 2507 | z=ALLOC_RNUMBER(); |
---|
[64cce0] | 2508 | #ifdef LDEBUG |
---|
| 2509 | z->debug=123456; |
---|
| 2510 | #endif |
---|
[a604c3] | 2511 | if (mpz_isNeg(B)) |
---|
[26300d] | 2512 | { |
---|
[a604c3] | 2513 | mpz_neg(B,B); |
---|
| 2514 | mpz_neg(N,N); |
---|
[26300d] | 2515 | } |
---|
[a604c3] | 2516 | mpz_init_set(z->z,N); |
---|
| 2517 | mpz_init_set(z->n,B); |
---|
[3149a5] | 2518 | z->s = 0; |
---|
[a642c64] | 2519 | nlNormalize(z,r); |
---|
[3149a5] | 2520 | break; |
---|
| 2521 | } |
---|
[a604c3] | 2522 | mpz_mod(D,E,N); |
---|
| 2523 | mpz_div(tmp,E,N); |
---|
| 2524 | mpz_mul(tmp,tmp,B); |
---|
| 2525 | mpz_sub(C,A,tmp); |
---|
| 2526 | mpz_set(E,N); |
---|
| 2527 | mpz_set(N,D); |
---|
| 2528 | mpz_set(A,B); |
---|
| 2529 | mpz_set(B,C); |
---|
| 2530 | } |
---|
| 2531 | mpz_clear(tmp); |
---|
| 2532 | mpz_clear(A); |
---|
| 2533 | mpz_clear(B); |
---|
| 2534 | mpz_clear(C); |
---|
| 2535 | mpz_clear(D); |
---|
| 2536 | mpz_clear(E); |
---|
| 2537 | mpz_clear(N); |
---|
| 2538 | mpz_clear(P); |
---|
[3149a5] | 2539 | return z; |
---|
| 2540 | } |
---|
[bbf7a8] | 2541 | |
---|
[9bb5457] | 2542 | void nlCoeffWrite (const coeffs) |
---|
[8167af] | 2543 | { |
---|
| 2544 | PrintS("// characteristic : 0\n"); |
---|
| 2545 | } |
---|
| 2546 | |
---|
[9bb5457] | 2547 | BOOLEAN nlInitChar(coeffs r, void*) |
---|
[e3c02d2] | 2548 | { |
---|
[73a9ffb] | 2549 | assume( getCoeffType(r) == ID ); |
---|
| 2550 | //const int ch = (int)(long)(p); |
---|
[9bb5457] | 2551 | |
---|
[e3c02d2] | 2552 | r->cfKillChar=NULL; |
---|
| 2553 | r->cfSetChar=NULL; |
---|
[121fd9] | 2554 | r->nCoeffIsEqual=ndCoeffIsEqual; |
---|
[577888] | 2555 | r->cfKillChar = ndKillChar; /* dummy */ |
---|
[e3c02d2] | 2556 | |
---|
[7bbbef] | 2557 | r->cfMult = nlMult; |
---|
| 2558 | r->cfSub = nlSub; |
---|
| 2559 | r->cfAdd = nlAdd; |
---|
| 2560 | r->cfDiv = nlDiv; |
---|
| 2561 | r->cfIntDiv= nlIntDiv; |
---|
| 2562 | r->cfIntMod= nlIntMod; |
---|
| 2563 | r->cfExactDiv= nlExactDiv; |
---|
[bbf7a8] | 2564 | r->cfInit = nlInit; |
---|
[7bbbef] | 2565 | r->cfSize = nlSize; |
---|
| 2566 | r->cfInt = nlInt; |
---|
[bbf7a8] | 2567 | #ifdef HAVE_RINGS |
---|
[7bbbef] | 2568 | //r->cfDivComp = NULL; // only for ring stuff |
---|
| 2569 | //r->cfIsUnit = NULL; // only for ring stuff |
---|
| 2570 | //r->cfGetUnit = NULL; // only for ring stuff |
---|
| 2571 | //r->cfExtGcd = NULL; // only for ring stuff |
---|
| 2572 | //r->cfDivBy = NULL; // only for ring stuff |
---|
[bbf7a8] | 2573 | #endif |
---|
[7bbbef] | 2574 | r->cfNeg = nlNeg; |
---|
| 2575 | r->cfInvers= nlInvers; |
---|
[2b957a] | 2576 | r->cfCopy = nlCopy; |
---|
| 2577 | r->cfRePart = nlCopy; |
---|
[7bbbef] | 2578 | //r->cfImPart = ndReturn0; |
---|
[bbf7a8] | 2579 | r->cfWrite = nlWrite; |
---|
[7bbbef] | 2580 | r->cfRead = nlRead; |
---|
| 2581 | r->cfNormalize=nlNormalize; |
---|
| 2582 | r->cfGreater = nlGreater; |
---|
| 2583 | r->cfEqual = nlEqual; |
---|
| 2584 | r->cfIsZero = nlIsZero; |
---|
| 2585 | r->cfIsOne = nlIsOne; |
---|
| 2586 | r->cfIsMOne = nlIsMOne; |
---|
| 2587 | r->cfGreaterZero = nlGreaterZero; |
---|
| 2588 | r->cfPower = nlPower; |
---|
[bbf7a8] | 2589 | r->cfGetDenom = nlGetDenom; |
---|
| 2590 | r->cfGetNumerator = nlGetNumerator; |
---|
[7bbbef] | 2591 | r->cfGcd = nlGcd; |
---|
| 2592 | r->cfLcm = nlLcm; |
---|
[bbf7a8] | 2593 | r->cfDelete= nlDelete; |
---|
[e3c02d2] | 2594 | r->cfSetMap = nlSetMap; |
---|
[7bbbef] | 2595 | //r->cfName = ndName; |
---|
| 2596 | r->cfInpMult=nlInpMult; |
---|
| 2597 | r->cfInit_bigint=nlCopyMap; |
---|
[8167af] | 2598 | r->cfCoeffWrite=nlCoeffWrite; |
---|
[e3c02d2] | 2599 | #ifdef LDEBUG |
---|
[bbf7a8] | 2600 | // debug stuff |
---|
[7bbbef] | 2601 | r->cfDBTest=nlDBTest; |
---|
[e3c02d2] | 2602 | #endif |
---|
[e5d267] | 2603 | #ifdef HAVE_FACTORY |
---|
| 2604 | r->convSingNFactoryN=nlConvSingNFactoryN; |
---|
| 2605 | r->convFactoryNSingN=nlConvFactoryNSingN; |
---|
| 2606 | #endif |
---|
[039016] | 2607 | |
---|
[8835e2b] | 2608 | // the variables: general stuff (required) |
---|
[bbf7a8] | 2609 | r->nNULL = INT_TO_SR(0); |
---|
[aff5ae] | 2610 | //r->type = n_Q; |
---|
[bbf7a8] | 2611 | r->ch = 0; |
---|
| 2612 | r->has_simple_Alloc=FALSE; |
---|
| 2613 | r->has_simple_Inverse=FALSE; |
---|
[9bb5457] | 2614 | |
---|
[8835e2b] | 2615 | // variables for this type of coeffs: |
---|
| 2616 | // (none) |
---|
[5d594a9] | 2617 | return FALSE; |
---|
[e3c02d2] | 2618 | } |
---|
[35aab3] | 2619 | #if 0 |
---|
| 2620 | number nlMod(number a, number b) |
---|
| 2621 | { |
---|
| 2622 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2623 | { |
---|
| 2624 | int bi=SR_TO_INT(b); |
---|
| 2625 | int ai=SR_TO_INT(a); |
---|
| 2626 | int bb=ABS(bi); |
---|
| 2627 | int c=ai%bb; |
---|
| 2628 | if (c<0) c+=bb; |
---|
| 2629 | return (INT_TO_SR(c)); |
---|
| 2630 | } |
---|
| 2631 | number al; |
---|
| 2632 | number bl; |
---|
| 2633 | if (SR_HDL(a))&SR_INT) |
---|
| 2634 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2635 | else |
---|
| 2636 | al=nlCopy(a); |
---|
| 2637 | if (SR_HDL(b))&SR_INT) |
---|
| 2638 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2639 | else |
---|
| 2640 | bl=nlCopy(b); |
---|
| 2641 | number r=nlRInit(0); |
---|
| 2642 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2643 | nlDelete(&al); |
---|
| 2644 | nlDelete(&bl); |
---|
| 2645 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2646 | { |
---|
[246d15] | 2647 | LONG ui=(int)mpz_get_si(&r->z); |
---|
[35aab3] | 2648 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2649 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2650 | { |
---|
| 2651 | mpz_clear(&r->z); |
---|
[7d90aa] | 2652 | omFreeBin((void *)r, rnumber_bin); |
---|
[35aab3] | 2653 | r=INT_TO_SR(ui); |
---|
| 2654 | } |
---|
| 2655 | } |
---|
| 2656 | return r; |
---|
| 2657 | } |
---|
| 2658 | #endif |
---|
| 2659 | #endif // not P_NUMBERS_H |
---|
| 2660 | #endif // LONGRAT_CC |
---|