[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /* |
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| 5 | * ABSTRACT: computation with long rational numbers (Hubert Grassmann) |
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| 6 | */ |
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[d663f2] | 7 | |
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[22a09d] | 8 | #include "config.h" |
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| 9 | #include <misc/auxiliary.h> |
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| 10 | |
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| 11 | #ifdef HAVE_FACTORY |
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| 12 | #include <factory/factory.h> |
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| 13 | #endif |
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[35aab3] | 14 | |
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[ea11dc] | 15 | #include <coeffs/longrat.h> |
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[246d15] | 16 | |
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[9eb0f9] | 17 | |
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[246d15] | 18 | // 64 bit version: |
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| 19 | #if 0 |
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| 20 | #define MAX_NUM_SIZE 60 |
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| 21 | #define POW_2_28 0x10000000000000L |
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| 22 | #define LONG long |
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| 23 | #else |
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| 24 | #define MAX_NUM_SIZE 28 |
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| 25 | #define POW_2_28 (1L<<28) |
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| 26 | #define LONG int |
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| 27 | #endif |
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| 28 | |
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| 29 | static inline number nlShort3(number x) // assume x->s==3 |
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| 30 | { |
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| 31 | assume(x->s==3); |
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[cc3240c] | 32 | if (mpz_cmp_ui(x->z,(long)0)==0) |
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| 33 | { |
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| 34 | mpz_clear(x->z); |
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| 35 | FREE_RNUMBER(x); |
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| 36 | return INT_TO_SR(0); |
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| 37 | } |
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| 38 | if (mpz_size1(x->z)<=MP_SMALL) |
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[246d15] | 39 | { |
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| 40 | LONG ui=mpz_get_si(x->z); |
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| 41 | if ((((ui<<3)>>3)==ui) |
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| 42 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
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| 43 | { |
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| 44 | mpz_clear(x->z); |
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[896561] | 45 | FREE_RNUMBER(x); |
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[246d15] | 46 | return INT_TO_SR(ui); |
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| 47 | } |
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| 48 | } |
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| 49 | return x; |
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| 50 | } |
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| 51 | |
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[35aab3] | 52 | #ifndef LONGRAT_CC |
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| 53 | #define LONGRAT_CC |
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| 54 | |
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| 55 | #include <string.h> |
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| 56 | #include <float.h> |
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[9eb0f9] | 57 | |
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[2d805a] | 58 | #include <coeffs/coeffs.h> |
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[31213a4] | 59 | #include <reporter/reporter.h> |
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| 60 | #include <omalloc/omalloc.h> |
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[9eb0f9] | 61 | |
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[2d805a] | 62 | #include <coeffs/numbers.h> |
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| 63 | #include <coeffs/modulop.h> |
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| 64 | #include <coeffs/shortfl.h> |
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| 65 | #include <coeffs/mpr_complex.h> |
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[35aab3] | 66 | |
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| 67 | #ifndef BYTES_PER_MP_LIMB |
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| 68 | #define BYTES_PER_MP_LIMB sizeof(mp_limb_t) |
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| 69 | #endif |
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| 70 | |
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| 71 | /*-----------------------------------------------------------------*/ |
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| 72 | /*3 |
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| 73 | * parameter s in number: |
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| 74 | * 0 (or FALSE): not normalised rational |
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| 75 | * 1 (or TRUE): normalised rational |
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| 76 | * 3 : integer with n==NULL |
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| 77 | */ |
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| 78 | /*3 |
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| 79 | ** 'SR_INT' is the type of those integers small enough to fit into 29 bits. |
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| 80 | ** Therefor the value range of this small integers is: $-2^{28}...2^{28}-1$. |
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| 81 | ** |
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| 82 | ** Small integers are represented by an immediate integer handle, containing |
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| 83 | ** the value instead of pointing to it, which has the following form: |
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| 84 | ** |
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| 85 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 86 | ** | guard | sign | bit | bit | | bit | tag | tag | |
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| 87 | ** | bit | bit | 27 | 26 | | 0 | 0 | 1 | |
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| 88 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 89 | ** |
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| 90 | ** Immediate integers handles carry the tag 'SR_INT', i.e. the last bit is 1. |
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| 91 | ** This distuingishes immediate integers from other handles which point to |
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| 92 | ** structures aligned on 4 byte boundaries and therefor have last bit zero. |
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| 93 | ** (The second bit is reserved as tag to allow extensions of this scheme.) |
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| 94 | ** Using immediates as pointers and dereferencing them gives address errors. |
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| 95 | ** |
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| 96 | ** To aid overflow check the most significant two bits must always be equal, |
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| 97 | ** that is to say that the sign bit of immediate integers has a guard bit. |
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| 98 | ** |
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| 99 | ** The macros 'INT_TO_SR' and 'SR_TO_INT' should be used to convert between |
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| 100 | ** a small integer value and its representation as immediate integer handle. |
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| 101 | ** |
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| 102 | ** Large integers and rationals are represented by z and n |
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| 103 | ** where n may be undefined (if s==3) |
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| 104 | ** NULL represents only deleted values |
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| 105 | */ |
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| 106 | #define SR_HDL(A) ((long)(A)) |
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[46f6af6] | 107 | /*#define SR_INT 1L*/ |
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[35aab3] | 108 | /*#define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT))*/ |
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| 109 | // #define SR_TO_INT(SR) (((long)SR) >> 2) |
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| 110 | |
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| 111 | #define MP_SMALL 1 |
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| 112 | //#define mpz_isNeg(A) (mpz_cmp_si(A,(long)0)<0) |
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| 113 | #define mpz_isNeg(A) ((A)->_mp_size<0) |
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| 114 | #define mpz_limb_size(A) ((A)->_mp_size) |
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| 115 | #define mpz_limb_d(A) ((A)->_mp_d) |
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| 116 | #define MPZ_DIV(A,B,C) mpz_tdiv_q((A),(B),(C)) |
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| 117 | #define MPZ_EXACTDIV(A,B,C) mpz_divexact((A),(B),(C)) |
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| 118 | |
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[73a9ffb] | 119 | /// Our Type! |
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| 120 | static const n_coeffType ID = n_Q; |
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[35aab3] | 121 | |
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[73a9ffb] | 122 | void _nlDelete_NoImm(number *a); |
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[fa31d2] | 123 | |
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[35aab3] | 124 | /*************************************************************** |
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| 125 | * |
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| 126 | * Routines which are never inlined by p_Numbers.h |
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| 127 | * |
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| 128 | *******************************************************************/ |
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| 129 | #ifndef P_NUMBERS_H |
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| 130 | |
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[246d15] | 131 | number nlShort3_noinline(number x) // assume x->s==3 |
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| 132 | { |
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| 133 | return nlShort3(x); |
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| 134 | } |
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| 135 | |
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[35aab3] | 136 | |
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[eb059c5] | 137 | number nlOne=INT_TO_SR(1); |
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[35aab3] | 138 | |
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| 139 | #if (__GNU_MP_VERSION*10+__GNU_MP_VERSION_MINOR < 31) |
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| 140 | void mpz_mul_si (mpz_ptr r, mpz_srcptr s, long int si) |
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| 141 | { |
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| 142 | if (si>=0) |
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| 143 | mpz_mul_ui(r,s,si); |
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| 144 | else |
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| 145 | { |
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| 146 | mpz_mul_ui(r,s,-si); |
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| 147 | mpz_neg(r,r); |
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| 148 | } |
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| 149 | } |
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| 150 | #endif |
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| 151 | |
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[fa31d2] | 152 | static number nlMapP(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 153 | { |
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[fa31d2] | 154 | assume( getCoeffType(dst) == ID ); |
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| 155 | assume( getCoeffType(src) == n_Zp ); |
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[9bb5457] | 156 | |
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[35aab3] | 157 | number to; |
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[fa31d2] | 158 | to = nlInit(npInt(from,src), dst); |
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[35aab3] | 159 | return to; |
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| 160 | } |
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| 161 | |
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[fa31d2] | 162 | static number nlMapLongR(number from, const coeffs src, const coeffs dst); |
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| 163 | static number nlMapR(number from, const coeffs src, const coeffs dst); |
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[35aab3] | 164 | |
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[d663f2] | 165 | |
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[894f5b1] | 166 | #ifdef HAVE_RINGS |
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| 167 | /*2 |
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| 168 | * convert from a GMP integer |
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| 169 | */ |
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[9bb5457] | 170 | number nlMapGMP(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 171 | { |
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[896561] | 172 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 173 | #if defined(LDEBUG) |
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| 174 | z->debug=123456; |
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| 175 | #endif |
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[a604c3] | 176 | mpz_init_set(z->z,(mpz_ptr) from); |
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[20704f] | 177 | //mpz_init_set_ui(&z->n,1); |
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[894f5b1] | 178 | z->s = 3; |
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[246d15] | 179 | z=nlShort3(z); |
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[894f5b1] | 180 | return z; |
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| 181 | } |
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| 182 | |
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| 183 | /*2 |
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| 184 | * convert from an machine long |
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| 185 | */ |
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[9bb5457] | 186 | number nlMapMachineInt(number from, const coeffs /*src*/, const coeffs /*dst*/) |
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[894f5b1] | 187 | { |
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[896561] | 188 | number z=ALLOC_RNUMBER(); |
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[894f5b1] | 189 | #if defined(LDEBUG) |
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| 190 | z->debug=123456; |
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| 191 | #endif |
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[a604c3] | 192 | mpz_init_set_ui(z->z,(unsigned long) from); |
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[894f5b1] | 193 | z->s = 3; |
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[246d15] | 194 | z=nlShort3(z); |
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[894f5b1] | 195 | return z; |
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| 196 | } |
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| 197 | #endif |
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| 198 | |
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[35aab3] | 199 | |
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| 200 | #ifdef LDEBUG |
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[9bb5457] | 201 | BOOLEAN nlDBTest(number a, const char *f,const int l, const coeffs /*r*/) |
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[35aab3] | 202 | { |
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| 203 | if (a==NULL) |
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| 204 | { |
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| 205 | Print("!!longrat: NULL in %s:%d\n",f,l); |
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| 206 | return FALSE; |
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| 207 | } |
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| 208 | //if ((int)a==1) Print("!! 0x1 as number ? %s %d\n",f,l); |
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[7447d8] | 209 | if ((((long)a)&3L)==3L) |
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[35aab3] | 210 | { |
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| 211 | Print(" !!longrat:ptr(3) in %s:%d\n",f,l); |
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| 212 | return FALSE; |
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| 213 | } |
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[7447d8] | 214 | if ((((long)a)&3L)==1L) |
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[35aab3] | 215 | { |
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[246d15] | 216 | if (((((LONG)(long)a)<<1)>>1)!=((LONG)(long)a)) |
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[35aab3] | 217 | { |
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[2132395] | 218 | Print(" !!longrat:arith:%lx in %s:%d\n",(long)a, f,l); |
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[35aab3] | 219 | return FALSE; |
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| 220 | } |
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| 221 | return TRUE; |
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| 222 | } |
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[4a2260e] | 223 | /* TODO: If next line is active, then computations in algebraic field |
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| 224 | extensions over Q will throw a lot of assume violations although |
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| 225 | everything is computed correctly and no seg fault appears. |
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| 226 | Maybe the test is not appropriate in this case. */ |
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[d12f186] | 227 | omCheckIf(omCheckAddrSize(a,sizeof(*a)), return FALSE); |
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[35aab3] | 228 | if (a->debug!=123456) |
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| 229 | { |
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| 230 | Print("!!longrat:debug:%d in %s:%d\n",a->debug,f,l); |
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| 231 | a->debug=123456; |
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| 232 | return FALSE; |
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| 233 | } |
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| 234 | if ((a->s<0)||(a->s>4)) |
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| 235 | { |
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| 236 | Print("!!longrat:s=%d in %s:%d\n",a->s,f,l); |
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| 237 | return FALSE; |
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| 238 | } |
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[c28ecf] | 239 | /* TODO: If next line is active, then computations in algebraic field |
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| 240 | extensions over Q will throw a lot of assume violations although |
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| 241 | everything is computed correctly and no seg fault appears. |
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| 242 | Maybe the test is not appropriate in this case. */ |
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[896561] | 243 | //omCheckAddrSize(a->z[0]._mp_d,a->z[0]._mp_alloc*BYTES_PER_MP_LIMB); |
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[a604c3] | 244 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 245 | Print("!!longrat:z->alloc=0 in %s:%d\n",f,l); |
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[35aab3] | 246 | |
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| 247 | if (a->s<2) |
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| 248 | { |
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[c28ecf] | 249 | /* TODO: If next line is active, then computations in algebraic field |
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| 250 | extensions over Q will throw a lot of assume violations although |
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| 251 | everything is computed correctly and no seg fault appears. |
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| 252 | Maybe the test is not appropriate in this case. */ |
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[896561] | 253 | //omCheckIf(omCheckAddrSize(a->n[0]._mp_d,a->n[0]._mp_alloc*BYTES_PER_MP_LIMB), return FALSE); |
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[a604c3] | 254 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 255 | Print("!!longrat:n->alloc=0 in %s:%d\n",f,l); |
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[a604c3] | 256 | if ((mpz_size1(a->n) ==1) && (mpz_cmp_si(a->n,(long)1)==0)) |
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[35aab3] | 257 | { |
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| 258 | Print("!!longrat:integer as rational in %s:%d\n",f,l); |
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[8fd3bd5] | 259 | mpz_clear(a->n); a->s=3; |
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[35aab3] | 260 | return FALSE; |
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| 261 | } |
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[a604c3] | 262 | else if (mpz_isNeg(a->n)) |
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[35aab3] | 263 | { |
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| 264 | Print("!!longrat:div. by negative in %s:%d\n",f,l); |
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[a604c3] | 265 | mpz_neg(a->z,a->z); |
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| 266 | mpz_neg(a->n,a->n); |
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[35aab3] | 267 | return FALSE; |
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| 268 | } |
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| 269 | return TRUE; |
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| 270 | } |
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[9257fe] | 271 | //if (a->s==2) |
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| 272 | //{ |
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| 273 | // Print("!!longrat:s=2 in %s:%d\n",f,l); |
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| 274 | // return FALSE; |
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| 275 | //} |
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[a604c3] | 276 | if (mpz_size1(a->z)>MP_SMALL) return TRUE; |
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[246d15] | 277 | LONG ui=(int)mpz_get_si(a->z); |
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[35aab3] | 278 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 279 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
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[35aab3] | 280 | { |
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| 281 | Print("!!longrat:im int %d in %s:%d\n",ui,f,l); |
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| 282 | f=NULL; |
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| 283 | return FALSE; |
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| 284 | } |
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| 285 | return TRUE; |
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| 286 | } |
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| 287 | #endif |
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| 288 | |
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[a934fc8] | 289 | #ifdef HAVE_FACTORY |
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[9bb5457] | 290 | CanonicalForm nlConvSingNFactoryN( number n, BOOLEAN setChar, const coeffs /*r*/ ) |
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[a934fc8] | 291 | { |
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[abb4787] | 292 | if (setChar) setCharacteristic( 0 ); |
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| 293 | |
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[a934fc8] | 294 | CanonicalForm term; |
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| 295 | if ( SR_HDL(n) & SR_INT ) |
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| 296 | { |
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| 297 | term = SR_TO_INT(n); |
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| 298 | } |
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| 299 | else |
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| 300 | { |
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| 301 | if ( n->s == 3 ) |
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| 302 | { |
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[8b46459] | 303 | mpz_t dummy; |
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| 304 | mpz_init_set( dummy,n->z ); |
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[a934fc8] | 305 | term = make_cf( dummy ); |
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| 306 | } |
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| 307 | else |
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| 308 | { |
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| 309 | // assume s==0 or s==1 |
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[8b46459] | 310 | mpz_t num, den; |
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[a934fc8] | 311 | On(SW_RATIONAL); |
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[8b46459] | 312 | mpz_init_set( num, n->z ); |
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| 313 | mpz_init_set( den, n->n ); |
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[a934fc8] | 314 | term = make_cf( num, den, ( n->s != 1 )); |
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| 315 | } |
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| 316 | } |
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| 317 | return term; |
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| 318 | } |
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| 319 | |
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| 320 | number nlConvFactoryNSingN( const CanonicalForm n, const coeffs r) |
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| 321 | { |
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| 322 | if (n.isImm()) |
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| 323 | { |
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| 324 | return nlInit(n.intval(),r); |
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| 325 | } |
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| 326 | else |
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| 327 | { |
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[d663f2] | 328 | number z = ALLOC_RNUMBER(); //Q!? // (number)omAllocBin(rnumber_bin); |
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[a934fc8] | 329 | #if defined(LDEBUG) |
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| 330 | z->debug=123456; |
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| 331 | #endif |
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| 332 | gmp_numerator( n, z->z ); |
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| 333 | if ( n.den().isOne() ) |
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| 334 | z->s = 3; |
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| 335 | else |
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| 336 | { |
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| 337 | gmp_denominator( n, z->n ); |
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| 338 | z->s = 0; |
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| 339 | } |
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| 340 | nlNormalize(z,r); |
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| 341 | return z; |
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| 342 | } |
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| 343 | } |
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| 344 | #endif |
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[246d15] | 345 | number nlRInit (long i); |
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[35aab3] | 346 | |
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[371bc5f] | 347 | static number nlMapR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 348 | { |
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[fa31d2] | 349 | assume( getCoeffType(dst) == ID ); |
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| 350 | assume( getCoeffType(src) == n_R ); |
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[9bb5457] | 351 | |
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[35aab3] | 352 | double f=nrFloat(from); |
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[eb059c5] | 353 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 354 | int f_sign=1; |
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| 355 | if (f<0.0) |
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| 356 | { |
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| 357 | f_sign=-1; |
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| 358 | f=-f; |
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| 359 | } |
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| 360 | int i=0; |
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| 361 | mpz_t h1; |
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| 362 | mpz_init_set_ui(h1,1); |
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| 363 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 364 | { |
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| 365 | f*=FLT_RADIX; |
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| 366 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 367 | i++; |
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| 368 | } |
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[a642c64] | 369 | number re=nlRInit(1); |
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[bbf7a8] | 370 | mpz_set_d(re->z,f); |
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[a642c64] | 371 | memcpy(&(re->n),&h1,sizeof(h1)); |
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| 372 | re->s=0; /* not normalized */ |
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[371bc5f] | 373 | if(f_sign==-1) re=nlNeg(re,dst); |
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| 374 | nlNormalize(re,dst); |
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[a642c64] | 375 | return re; |
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[35aab3] | 376 | } |
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| 377 | |
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[9bb5457] | 378 | static number nlMapLongR(number from, const coeffs src, const coeffs dst) |
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[35aab3] | 379 | { |
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[fa31d2] | 380 | assume( getCoeffType(dst) == ID ); |
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| 381 | assume( getCoeffType(src) == n_long_R ); |
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[9bb5457] | 382 | |
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[35aab3] | 383 | gmp_float *ff=(gmp_float*)from; |
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| 384 | mpf_t *f=ff->_mpfp(); |
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| 385 | number res; |
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[a604c3] | 386 | mpz_ptr dest,ndest; |
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[35aab3] | 387 | int size, i,negative; |
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| 388 | int e,al,bl; |
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| 389 | mp_ptr qp,dd,nn; |
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| 390 | |
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| 391 | size = (*f)[0]._mp_size; |
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| 392 | if (size == 0) |
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[eb059c5] | 393 | return INT_TO_SR(0); |
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[35aab3] | 394 | if(size<0) |
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| 395 | { |
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| 396 | negative = 1; |
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| 397 | size = -size; |
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| 398 | } |
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| 399 | else |
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| 400 | negative = 0; |
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| 401 | |
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| 402 | qp = (*f)[0]._mp_d; |
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| 403 | while(qp[0]==0) |
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| 404 | { |
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| 405 | qp++; |
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| 406 | size--; |
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| 407 | } |
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| 408 | |
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| 409 | e=(*f)[0]._mp_exp-size; |
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[896561] | 410 | res = ALLOC_RNUMBER(); |
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[35aab3] | 411 | #if defined(LDEBUG) |
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| 412 | res->debug=123456; |
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| 413 | #endif |
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[a604c3] | 414 | dest = res->z; |
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[35aab3] | 415 | |
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| 416 | if (e<0) |
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| 417 | { |
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| 418 | al = dest->_mp_size = size; |
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| 419 | if (al<2) al = 2; |
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| 420 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 421 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 422 | bl = 1-e; |
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| 423 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 424 | nn[bl-1] = 1; |
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| 425 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 426 | ndest = res->n; |
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[35aab3] | 427 | ndest->_mp_d = nn; |
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| 428 | ndest->_mp_alloc = ndest->_mp_size = bl; |
---|
| 429 | res->s = 0; |
---|
| 430 | } |
---|
| 431 | else |
---|
| 432 | { |
---|
| 433 | al = dest->_mp_size = size+e; |
---|
| 434 | if (al<2) al = 2; |
---|
| 435 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
---|
| 436 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
---|
| 437 | for (i=0;i<e;i++) dd[i] = 0; |
---|
| 438 | res->s = 3; |
---|
| 439 | } |
---|
| 440 | |
---|
| 441 | dest->_mp_d = dd; |
---|
| 442 | dest->_mp_alloc = al; |
---|
| 443 | if (negative) dest->_mp_size = -dest->_mp_size; |
---|
| 444 | |
---|
| 445 | if (res->s==0) |
---|
[371bc5f] | 446 | nlNormalize(res,dst); |
---|
[bbf7a8] | 447 | else if (mpz_size1(res->z)<=MP_SMALL) |
---|
[35aab3] | 448 | { |
---|
| 449 | // res is new, res->ref is 1 |
---|
[246d15] | 450 | res=nlShort3(res); |
---|
[35aab3] | 451 | } |
---|
[2b957a] | 452 | nlTest(res, dst); |
---|
[35aab3] | 453 | return res; |
---|
| 454 | } |
---|
| 455 | |
---|
| 456 | //static number nlMapLongR(number from) |
---|
| 457 | //{ |
---|
| 458 | // gmp_float *ff=(gmp_float*)from; |
---|
| 459 | // const mpf_t *f=ff->mpfp(); |
---|
| 460 | // int f_size=ABS((*f)[0]._mp_size); |
---|
| 461 | // if (f_size==0) |
---|
| 462 | // return nlInit(0); |
---|
| 463 | // int f_sign=1; |
---|
| 464 | // number work=ngcCopy(from); |
---|
| 465 | // if (!ngcGreaterZero(work)) |
---|
| 466 | // { |
---|
| 467 | // f_sign=-1; |
---|
| 468 | // work=ngcNeg(work); |
---|
| 469 | // } |
---|
| 470 | // int i=0; |
---|
| 471 | // mpz_t h1; |
---|
| 472 | // mpz_init_set_ui(h1,1); |
---|
| 473 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
---|
| 474 | // { |
---|
| 475 | // f*=FLT_RADIX; |
---|
| 476 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
---|
| 477 | // i++; |
---|
| 478 | // } |
---|
| 479 | // number r=nlRInit(1); |
---|
| 480 | // mpz_set_d(&(r->z),f); |
---|
[611871] | 481 | // memcpy(&(r->n),&h1,sizeof(h1)); |
---|
[35aab3] | 482 | // r->s=0; /* not normalized */ |
---|
| 483 | // nlNormalize(r); |
---|
| 484 | // return r; |
---|
| 485 | // |
---|
| 486 | // |
---|
| 487 | // number r=nlRInit(1); |
---|
| 488 | // int f_shift=f_size+(*f)[0]._mp_exp; |
---|
| 489 | // if ( f_shift > 0) |
---|
| 490 | // { |
---|
| 491 | // r->s=0; |
---|
| 492 | // mpz_init(&r->n); |
---|
| 493 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
---|
| 494 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 495 | // // now r->z has enough space |
---|
[611871] | 496 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 497 | // nlNormalize(r); |
---|
| 498 | // } |
---|
| 499 | // else |
---|
| 500 | // { |
---|
| 501 | // r->s=3; |
---|
| 502 | // if (f_shift==0) |
---|
| 503 | // { |
---|
| 504 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 505 | // // now r->z has enough space |
---|
[611871] | 506 | // memcpy(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
[35aab3] | 507 | // } |
---|
| 508 | // else /* f_shift < 0 */ |
---|
| 509 | // { |
---|
| 510 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 511 | // // now r->z has enough space |
---|
[611871] | 512 | // memcpy(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
[35aab3] | 513 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 514 | // } |
---|
| 515 | // } |
---|
| 516 | // if ((*f)[0]._mp_size<0); |
---|
| 517 | // r=nlNeg(r); |
---|
| 518 | // return r; |
---|
| 519 | //} |
---|
| 520 | |
---|
[121fd9] | 521 | int nlSize(number a, const coeffs) |
---|
[35aab3] | 522 | { |
---|
| 523 | if (a==INT_TO_SR(0)) |
---|
| 524 | return 0; /* rational 0*/ |
---|
| 525 | if (SR_HDL(a) & SR_INT) |
---|
| 526 | return 1; /* immidiate int */ |
---|
[a604c3] | 527 | int s=a->z[0]._mp_alloc; |
---|
[9bb5457] | 528 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 529 | //#if SIZEOF_LONG == 8 |
---|
| 530 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 531 | // else s *=2; |
---|
| 532 | //#endif |
---|
[790096] | 533 | // s++; |
---|
[35aab3] | 534 | if (a->s<2) |
---|
| 535 | { |
---|
[a604c3] | 536 | int d=a->n[0]._mp_alloc; |
---|
[9bb5457] | 537 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 538 | //#if SIZEOF_LONG == 8 |
---|
| 539 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 540 | // else d *=2; |
---|
| 541 | //#endif |
---|
[1da0b5] | 542 | s+=d; |
---|
[35aab3] | 543 | } |
---|
| 544 | return s; |
---|
| 545 | } |
---|
| 546 | |
---|
| 547 | /*2 |
---|
| 548 | * convert number to int |
---|
| 549 | */ |
---|
[a642c64] | 550 | int nlInt(number &i, const coeffs r) |
---|
[35aab3] | 551 | { |
---|
[2b957a] | 552 | nlTest(i, r); |
---|
[a642c64] | 553 | nlNormalize(i,r); |
---|
[35aab3] | 554 | if (SR_HDL(i) &SR_INT) return SR_TO_INT(i); |
---|
| 555 | if (i->s==3) |
---|
| 556 | { |
---|
[a604c3] | 557 | if(mpz_size1(i->z)>MP_SMALL) return 0; |
---|
| 558 | int ul=(int)mpz_get_si(i->z); |
---|
| 559 | if (mpz_cmp_si(i->z,(long)ul)!=0) return 0; |
---|
[35aab3] | 560 | return ul; |
---|
| 561 | } |
---|
[a604c3] | 562 | mpz_t tmp; |
---|
[35aab3] | 563 | int ul; |
---|
[a604c3] | 564 | mpz_init(tmp); |
---|
| 565 | MPZ_DIV(tmp,i->z,i->n); |
---|
| 566 | if(mpz_size1(tmp)>MP_SMALL) ul=0; |
---|
[35aab3] | 567 | else |
---|
| 568 | { |
---|
[a604c3] | 569 | ul=(int)mpz_get_si(tmp); |
---|
| 570 | if (mpz_cmp_si(tmp,(long)ul)!=0) ul=0; |
---|
[35aab3] | 571 | } |
---|
[a604c3] | 572 | mpz_clear(tmp); |
---|
[35aab3] | 573 | return ul; |
---|
| 574 | } |
---|
| 575 | |
---|
[7f7573] | 576 | /*2 |
---|
| 577 | * convert number to bigint |
---|
| 578 | */ |
---|
[a642c64] | 579 | number nlBigInt(number &i, const coeffs r) |
---|
[7f7573] | 580 | { |
---|
[2b957a] | 581 | nlTest(i, r); |
---|
[a642c64] | 582 | nlNormalize(i,r); |
---|
[7f7573] | 583 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 584 | if (i->s==3) |
---|
| 585 | { |
---|
[a642c64] | 586 | return nlCopy(i,r); |
---|
[7f7573] | 587 | } |
---|
| 588 | number tmp=nlRInit(1); |
---|
[a604c3] | 589 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[246d15] | 590 | tmp=nlShort3(tmp); |
---|
[7f7573] | 591 | return tmp; |
---|
| 592 | } |
---|
| 593 | |
---|
[35aab3] | 594 | /* |
---|
| 595 | * 1/a |
---|
| 596 | */ |
---|
[a642c64] | 597 | number nlInvers(number a, const coeffs r) |
---|
[35aab3] | 598 | { |
---|
[2b957a] | 599 | nlTest(a, r); |
---|
[35aab3] | 600 | number n; |
---|
| 601 | if (SR_HDL(a) & SR_INT) |
---|
| 602 | { |
---|
[246d15] | 603 | if ((a==INT_TO_SR(1L)) || (a==INT_TO_SR(-1L))) |
---|
[35aab3] | 604 | { |
---|
| 605 | return a; |
---|
| 606 | } |
---|
[a642c64] | 607 | if (nlIsZero(a,r)) |
---|
[35aab3] | 608 | { |
---|
[b7e838] | 609 | WerrorS(nDivBy0); |
---|
[35aab3] | 610 | return INT_TO_SR(0); |
---|
| 611 | } |
---|
[896561] | 612 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 613 | #if defined(LDEBUG) |
---|
| 614 | n->debug=123456; |
---|
| 615 | #endif |
---|
| 616 | n->s=1; |
---|
[7447d8] | 617 | if ((long)a>0L) |
---|
[35aab3] | 618 | { |
---|
[a604c3] | 619 | mpz_init_set_si(n->z,(long)1); |
---|
| 620 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 621 | } |
---|
| 622 | else |
---|
| 623 | { |
---|
[a604c3] | 624 | mpz_init_set_si(n->z,(long)-1); |
---|
| 625 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 626 | } |
---|
[2b957a] | 627 | nlTest(n, r); |
---|
[35aab3] | 628 | return n; |
---|
| 629 | } |
---|
[896561] | 630 | n=ALLOC_RNUMBER(); |
---|
[35aab3] | 631 | #if defined(LDEBUG) |
---|
| 632 | n->debug=123456; |
---|
| 633 | #endif |
---|
| 634 | { |
---|
| 635 | n->s=a->s; |
---|
[a604c3] | 636 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 637 | switch (a->s) |
---|
| 638 | { |
---|
| 639 | case 0: |
---|
| 640 | case 1: |
---|
[a604c3] | 641 | mpz_init_set(n->z,a->n); |
---|
| 642 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 643 | { |
---|
[a604c3] | 644 | mpz_neg(n->z,n->z); |
---|
| 645 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 646 | } |
---|
[a604c3] | 647 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 648 | { |
---|
[a604c3] | 649 | mpz_clear(n->n); |
---|
[35aab3] | 650 | n->s=3; |
---|
[246d15] | 651 | n=nlShort3(n); |
---|
[35aab3] | 652 | } |
---|
| 653 | break; |
---|
| 654 | case 3: |
---|
| 655 | n->s=1; |
---|
[a604c3] | 656 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 657 | { |
---|
[a604c3] | 658 | mpz_neg(n->n,n->n); |
---|
| 659 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 660 | } |
---|
| 661 | else |
---|
| 662 | { |
---|
[a604c3] | 663 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 664 | } |
---|
| 665 | break; |
---|
| 666 | } |
---|
| 667 | } |
---|
[2b957a] | 668 | nlTest(n, r); |
---|
[35aab3] | 669 | return n; |
---|
| 670 | } |
---|
| 671 | |
---|
| 672 | |
---|
| 673 | /*2 |
---|
| 674 | * u := a / b in Z, if b | a (else undefined) |
---|
| 675 | */ |
---|
[2b957a] | 676 | number nlExactDiv(number a, number b, const coeffs r) |
---|
[35aab3] | 677 | { |
---|
| 678 | if (b==INT_TO_SR(0)) |
---|
| 679 | { |
---|
[b7e838] | 680 | WerrorS(nDivBy0); |
---|
[35aab3] | 681 | return INT_TO_SR(0); |
---|
| 682 | } |
---|
| 683 | if (a==INT_TO_SR(0)) |
---|
| 684 | return INT_TO_SR(0); |
---|
| 685 | number u; |
---|
| 686 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 687 | { |
---|
| 688 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 689 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 690 | { |
---|
[246d15] | 691 | return nlRInit(POW_2_28); |
---|
[35aab3] | 692 | } |
---|
[246d15] | 693 | long aa=SR_TO_INT(a); |
---|
| 694 | long bb=SR_TO_INT(b); |
---|
[35aab3] | 695 | return INT_TO_SR(aa/bb); |
---|
| 696 | } |
---|
| 697 | number bb=NULL; |
---|
| 698 | if (SR_HDL(b) & SR_INT) |
---|
| 699 | { |
---|
| 700 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 701 | b=bb; |
---|
| 702 | } |
---|
[896561] | 703 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 704 | #if defined(LDEBUG) |
---|
| 705 | u->debug=123456; |
---|
| 706 | #endif |
---|
[a604c3] | 707 | mpz_init(u->z); |
---|
[35aab3] | 708 | /* u=a/b */ |
---|
| 709 | u->s = 3; |
---|
[a604c3] | 710 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 711 | if (bb!=NULL) |
---|
| 712 | { |
---|
[a604c3] | 713 | mpz_clear(bb->z); |
---|
[35aab3] | 714 | #if defined(LDEBUG) |
---|
| 715 | bb->debug=654324; |
---|
| 716 | #endif |
---|
[d663f2] | 717 | FREE_RNUMBER(bb); // omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 718 | } |
---|
[246d15] | 719 | u=nlShort3(u); |
---|
[2b957a] | 720 | nlTest(u, r); |
---|
[35aab3] | 721 | return u; |
---|
| 722 | } |
---|
| 723 | |
---|
| 724 | /*2 |
---|
| 725 | * u := a / b in Z |
---|
| 726 | */ |
---|
[2b957a] | 727 | number nlIntDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 728 | { |
---|
| 729 | if (b==INT_TO_SR(0)) |
---|
| 730 | { |
---|
[b7e838] | 731 | WerrorS(nDivBy0); |
---|
[35aab3] | 732 | return INT_TO_SR(0); |
---|
| 733 | } |
---|
| 734 | if (a==INT_TO_SR(0)) |
---|
| 735 | return INT_TO_SR(0); |
---|
| 736 | number u; |
---|
| 737 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 738 | { |
---|
| 739 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 740 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 741 | { |
---|
[246d15] | 742 | return nlRInit(POW_2_28); |
---|
[35aab3] | 743 | } |
---|
[246d15] | 744 | long aa=SR_TO_INT(a); |
---|
| 745 | long bb=SR_TO_INT(b); |
---|
[7326063] | 746 | //return INT_TO_SR((aa-(aa%bb))/bb); |
---|
| 747 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 748 | } |
---|
| 749 | if (SR_HDL(a) & SR_INT) |
---|
| 750 | { |
---|
| 751 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
[246d15] | 752 | if (a==INT_TO_SR(-(POW_2_28))) |
---|
[35aab3] | 753 | { |
---|
[246d15] | 754 | if(mpz_cmp_si(b->z,(POW_2_28))==0) |
---|
[35aab3] | 755 | { |
---|
| 756 | return INT_TO_SR(-1); |
---|
| 757 | } |
---|
| 758 | } |
---|
| 759 | /* a is a small and b is a large int: -> 0 */ |
---|
| 760 | return INT_TO_SR(0); |
---|
| 761 | } |
---|
| 762 | number bb=NULL; |
---|
| 763 | if (SR_HDL(b) & SR_INT) |
---|
| 764 | { |
---|
| 765 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 766 | b=bb; |
---|
| 767 | } |
---|
[896561] | 768 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 769 | #if defined(LDEBUG) |
---|
| 770 | u->debug=123456; |
---|
| 771 | #endif |
---|
[98bda9] | 772 | assume(a->s==3); |
---|
| 773 | assume(b->s==3); |
---|
[a604c3] | 774 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 775 | /* u=u/b */ |
---|
| 776 | u->s = 3; |
---|
[a604c3] | 777 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 778 | if (bb!=NULL) |
---|
| 779 | { |
---|
[a604c3] | 780 | mpz_clear(bb->z); |
---|
[35aab3] | 781 | #if defined(LDEBUG) |
---|
| 782 | bb->debug=654324; |
---|
| 783 | #endif |
---|
[d663f2] | 784 | FREE_RNUMBER(bb); // omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 785 | } |
---|
[246d15] | 786 | u=nlShort3(u); |
---|
[2b957a] | 787 | nlTest(u, r); |
---|
[35aab3] | 788 | return u; |
---|
| 789 | } |
---|
| 790 | |
---|
| 791 | /*2 |
---|
| 792 | * u := a mod b in Z, u>=0 |
---|
| 793 | */ |
---|
[a642c64] | 794 | number nlIntMod (number a, number b, const coeffs r) |
---|
[35aab3] | 795 | { |
---|
| 796 | if (b==INT_TO_SR(0)) |
---|
| 797 | { |
---|
[b7e838] | 798 | WerrorS(nDivBy0); |
---|
[35aab3] | 799 | return INT_TO_SR(0); |
---|
| 800 | } |
---|
| 801 | if (a==INT_TO_SR(0)) |
---|
| 802 | return INT_TO_SR(0); |
---|
| 803 | number u; |
---|
| 804 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 805 | { |
---|
[7326063] | 806 | //return INT_TO_SR(SR_TO_INT(a)%SR_TO_INT(b)); |
---|
| 807 | if ((long)a>0L) |
---|
| 808 | { |
---|
| 809 | if ((long)b>0L) |
---|
| 810 | return INT_TO_SR(SR_TO_INT(a)%SR_TO_INT(b)); |
---|
| 811 | else |
---|
| 812 | return INT_TO_SR(SR_TO_INT(a)%(-SR_TO_INT(b))); |
---|
| 813 | } |
---|
| 814 | else |
---|
| 815 | { |
---|
| 816 | if ((long)b>0L) |
---|
| 817 | { |
---|
| 818 | long i=(-SR_TO_INT(a))%SR_TO_INT(b); |
---|
| 819 | if ( i != 0L ) i = (SR_TO_INT(b))-i; |
---|
| 820 | return INT_TO_SR(i); |
---|
| 821 | } |
---|
| 822 | else |
---|
| 823 | { |
---|
| 824 | long i=(-SR_TO_INT(a))%(-SR_TO_INT(b)); |
---|
| 825 | if ( i != 0L ) i = (-SR_TO_INT(b))-i; |
---|
| 826 | return INT_TO_SR(i); |
---|
| 827 | } |
---|
| 828 | } |
---|
[35aab3] | 829 | } |
---|
| 830 | if (SR_HDL(a) & SR_INT) |
---|
| 831 | { |
---|
[7326063] | 832 | /* a is a small and b is a large int: -> a or (a+b) or (a-b) */ |
---|
| 833 | if ((long)a<0L) |
---|
| 834 | { |
---|
| 835 | if (mpz_isNeg(b->z)) |
---|
| 836 | return nlSub(a,b,r); |
---|
| 837 | /*else*/ |
---|
| 838 | return nlAdd(a,b,r); |
---|
| 839 | } |
---|
| 840 | /*else*/ |
---|
| 841 | return a; |
---|
| 842 | |
---|
[824c47] | 843 | /* a is a small and b is a large int: -> a */ |
---|
[7326063] | 844 | //return a; |
---|
[35aab3] | 845 | } |
---|
| 846 | number bb=NULL; |
---|
| 847 | if (SR_HDL(b) & SR_INT) |
---|
| 848 | { |
---|
| 849 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 850 | b=bb; |
---|
| 851 | } |
---|
[896561] | 852 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 853 | #if defined(LDEBUG) |
---|
| 854 | u->debug=123456; |
---|
| 855 | #endif |
---|
[a604c3] | 856 | mpz_init(u->z); |
---|
[35aab3] | 857 | u->s = 3; |
---|
[a604c3] | 858 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 859 | if (bb!=NULL) |
---|
| 860 | { |
---|
[a604c3] | 861 | mpz_clear(bb->z); |
---|
[35aab3] | 862 | #if defined(LDEBUG) |
---|
| 863 | bb->debug=654324; |
---|
| 864 | #endif |
---|
[d663f2] | 865 | FREE_RNUMBER(bb); // omFreeBin((void *)bb, rnumber_bin); |
---|
[35aab3] | 866 | } |
---|
[a604c3] | 867 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 868 | { |
---|
[a604c3] | 869 | if (mpz_isNeg(b->z)) |
---|
| 870 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 871 | else |
---|
[a604c3] | 872 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 873 | } |
---|
[246d15] | 874 | u=nlShort3(u); |
---|
[2b957a] | 875 | nlTest(u, r); |
---|
[35aab3] | 876 | return u; |
---|
| 877 | } |
---|
| 878 | |
---|
| 879 | /*2 |
---|
| 880 | * u := a / b |
---|
| 881 | */ |
---|
[a642c64] | 882 | number nlDiv (number a, number b, const coeffs r) |
---|
[35aab3] | 883 | { |
---|
| 884 | number u; |
---|
[a642c64] | 885 | if (nlIsZero(b,r)) |
---|
[35aab3] | 886 | { |
---|
[b7e838] | 887 | WerrorS(nDivBy0); |
---|
[35aab3] | 888 | return INT_TO_SR(0); |
---|
| 889 | } |
---|
[896561] | 890 | u=ALLOC_RNUMBER(); |
---|
[35aab3] | 891 | u->s=0; |
---|
| 892 | #if defined(LDEBUG) |
---|
| 893 | u->debug=123456; |
---|
| 894 | #endif |
---|
| 895 | // ---------- short / short ------------------------------------ |
---|
| 896 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 897 | { |
---|
[246d15] | 898 | long i=SR_TO_INT(a); |
---|
| 899 | long j=SR_TO_INT(b); |
---|
[1a97da] | 900 | if ((i==-POW_2_28) && (j== -1L)) |
---|
[e11ed0] | 901 | { |
---|
[896561] | 902 | FREE_RNUMBER(u); |
---|
[1a97da] | 903 | return nlRInit(POW_2_28); |
---|
| 904 | } |
---|
[246d15] | 905 | long r=i%j; |
---|
[35aab3] | 906 | if (r==0) |
---|
| 907 | { |
---|
[d663f2] | 908 | FREE_RNUMBER(u); // omFreeBin((void *)u, rnumber_bin); |
---|
[35aab3] | 909 | return INT_TO_SR(i/j); |
---|
| 910 | } |
---|
[a604c3] | 911 | mpz_init_set_si(u->z,(long)i); |
---|
| 912 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 913 | } |
---|
| 914 | else |
---|
| 915 | { |
---|
[a604c3] | 916 | mpz_init(u->z); |
---|
[35aab3] | 917 | // ---------- short / long ------------------------------------ |
---|
| 918 | if (SR_HDL(a) & SR_INT) |
---|
| 919 | { |
---|
| 920 | // short a / (z/n) -> (a*n)/z |
---|
| 921 | if (b->s<2) |
---|
| 922 | { |
---|
[a604c3] | 923 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 924 | } |
---|
| 925 | else |
---|
| 926 | // short a / long z -> a/z |
---|
| 927 | { |
---|
[a604c3] | 928 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 929 | } |
---|
[a604c3] | 930 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 931 | { |
---|
[a604c3] | 932 | mpz_clear(u->z); |
---|
[896561] | 933 | FREE_RNUMBER(u); |
---|
[35aab3] | 934 | return INT_TO_SR(1); |
---|
| 935 | } |
---|
[a604c3] | 936 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 937 | } |
---|
| 938 | // ---------- long / short ------------------------------------ |
---|
| 939 | else if (SR_HDL(b) & SR_INT) |
---|
| 940 | { |
---|
[a604c3] | 941 | mpz_set(u->z,a->z); |
---|
[35aab3] | 942 | // (z/n) / b -> z/(n*b) |
---|
| 943 | if (a->s<2) |
---|
| 944 | { |
---|
[a604c3] | 945 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 946 | if ((long)b>0L) |
---|
[a604c3] | 947 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 948 | else |
---|
| 949 | { |
---|
[a604c3] | 950 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 951 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 952 | } |
---|
| 953 | } |
---|
| 954 | else |
---|
| 955 | // long z / short b -> z/b |
---|
| 956 | { |
---|
[a604c3] | 957 | //mpz_set(u->z,a->z); |
---|
| 958 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 959 | } |
---|
| 960 | } |
---|
| 961 | // ---------- long / long ------------------------------------ |
---|
| 962 | else |
---|
| 963 | { |
---|
[a604c3] | 964 | mpz_set(u->z,a->z); |
---|
| 965 | mpz_init_set(u->n,b->z); |
---|
| 966 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 967 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 968 | } |
---|
| 969 | } |
---|
[a604c3] | 970 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 971 | { |
---|
[a604c3] | 972 | mpz_neg(u->z,u->z); |
---|
| 973 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 974 | } |
---|
[a604c3] | 975 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 976 | { |
---|
[a604c3] | 977 | mpz_clear(u->n); |
---|
[35aab3] | 978 | u->s=3; |
---|
[246d15] | 979 | u=nlShort3(u); |
---|
[35aab3] | 980 | } |
---|
[2b957a] | 981 | nlTest(u, r); |
---|
[35aab3] | 982 | return u; |
---|
| 983 | } |
---|
| 984 | |
---|
| 985 | /*2 |
---|
| 986 | * u:= x ^ exp |
---|
| 987 | */ |
---|
[a642c64] | 988 | void nlPower (number x,int exp,number * u, const coeffs r) |
---|
[35aab3] | 989 | { |
---|
[6242bb3] | 990 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[a642c64] | 991 | if (!nlIsZero(x,r)) |
---|
[35aab3] | 992 | { |
---|
[2b957a] | 993 | nlTest(x, r); |
---|
[35aab3] | 994 | number aa=NULL; |
---|
| 995 | if (SR_HDL(x) & SR_INT) |
---|
| 996 | { |
---|
| 997 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 998 | x=aa; |
---|
| 999 | } |
---|
[ee7dcf] | 1000 | else if (x->s==0) |
---|
[a642c64] | 1001 | nlNormalize(x,r); |
---|
[896561] | 1002 | *u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1003 | #if defined(LDEBUG) |
---|
| 1004 | (*u)->debug=123456; |
---|
| 1005 | #endif |
---|
[a604c3] | 1006 | mpz_init((*u)->z); |
---|
| 1007 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 1008 | if (x->s<2) |
---|
| 1009 | { |
---|
[a604c3] | 1010 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1011 | { |
---|
| 1012 | x->s=3; |
---|
[a604c3] | 1013 | mpz_clear(x->n); |
---|
[35aab3] | 1014 | } |
---|
| 1015 | else |
---|
| 1016 | { |
---|
[a604c3] | 1017 | mpz_init((*u)->n); |
---|
| 1018 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 1019 | } |
---|
| 1020 | } |
---|
| 1021 | (*u)->s = x->s; |
---|
[246d15] | 1022 | if ((*u)->s==3) *u=nlShort3(*u); |
---|
[35aab3] | 1023 | if (aa!=NULL) |
---|
| 1024 | { |
---|
[a604c3] | 1025 | mpz_clear(aa->z); |
---|
[896561] | 1026 | FREE_RNUMBER(aa); |
---|
[35aab3] | 1027 | } |
---|
| 1028 | } |
---|
[6242bb3] | 1029 | else if (exp==0) |
---|
| 1030 | *u = INT_TO_SR(1); // 0^0 |
---|
[35aab3] | 1031 | #ifdef LDEBUG |
---|
[deca7f6] | 1032 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[2b957a] | 1033 | nlTest(*u, r); |
---|
[35aab3] | 1034 | #endif |
---|
| 1035 | } |
---|
| 1036 | |
---|
| 1037 | |
---|
| 1038 | /*2 |
---|
| 1039 | * za >= 0 ? |
---|
| 1040 | */ |
---|
[2b957a] | 1041 | BOOLEAN nlGreaterZero (number a, const coeffs r) |
---|
[35aab3] | 1042 | { |
---|
[2b957a] | 1043 | nlTest(a, r); |
---|
[246d15] | 1044 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1L /* represents number(0) */; |
---|
[a604c3] | 1045 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 1046 | } |
---|
| 1047 | |
---|
| 1048 | /*2 |
---|
| 1049 | * a > b ? |
---|
| 1050 | */ |
---|
[a642c64] | 1051 | BOOLEAN nlGreater (number a, number b, const coeffs r) |
---|
[35aab3] | 1052 | { |
---|
[2b957a] | 1053 | nlTest(a, r); |
---|
| 1054 | nlTest(b, r); |
---|
[a642c64] | 1055 | number re; |
---|
[35aab3] | 1056 | BOOLEAN rr; |
---|
[a642c64] | 1057 | re=nlSub(a,b,r); |
---|
| 1058 | rr=(!nlIsZero(re,r)) && (nlGreaterZero(re,r)); |
---|
| 1059 | nlDelete(&re,r); |
---|
[35aab3] | 1060 | return rr; |
---|
| 1061 | } |
---|
| 1062 | |
---|
| 1063 | /*2 |
---|
| 1064 | * a == -1 ? |
---|
| 1065 | */ |
---|
[2b957a] | 1066 | BOOLEAN nlIsMOne (number a, const coeffs r) |
---|
[35aab3] | 1067 | { |
---|
| 1068 | #ifdef LDEBUG |
---|
| 1069 | if (a==NULL) return FALSE; |
---|
[2b957a] | 1070 | nlTest(a, r); |
---|
[35aab3] | 1071 | #endif |
---|
[246d15] | 1072 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1L)); |
---|
[5f4ae4] | 1073 | //return FALSE; |
---|
[246d15] | 1074 | return (a==INT_TO_SR(-1L)); |
---|
[35aab3] | 1075 | } |
---|
| 1076 | |
---|
| 1077 | /*2 |
---|
| 1078 | * result =gcd(a,b) |
---|
| 1079 | */ |
---|
[a642c64] | 1080 | number nlGcd(number a, number b, const coeffs r) |
---|
[35aab3] | 1081 | { |
---|
| 1082 | number result; |
---|
[2b957a] | 1083 | nlTest(a, r); |
---|
| 1084 | nlTest(b, r); |
---|
[35aab3] | 1085 | //nlNormalize(a); |
---|
| 1086 | //nlNormalize(b); |
---|
[246d15] | 1087 | if ((a==INT_TO_SR(1L))||(a==INT_TO_SR(-1L)) |
---|
| 1088 | || (b==INT_TO_SR(1L))||(b==INT_TO_SR(-1L))) |
---|
| 1089 | return INT_TO_SR(1L); |
---|
[f553f3] | 1090 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
[a642c64] | 1091 | return nlCopy(b,r); |
---|
[f553f3] | 1092 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
[a642c64] | 1093 | return nlCopy(a,r); |
---|
[35aab3] | 1094 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1095 | { |
---|
[246d15] | 1096 | long i=SR_TO_INT(a); |
---|
| 1097 | long j=SR_TO_INT(b); |
---|
| 1098 | if((i==0L)||(j==0L)) |
---|
[35aab3] | 1099 | return INT_TO_SR(1); |
---|
[246d15] | 1100 | long l; |
---|
[35aab3] | 1101 | i=ABS(i); |
---|
| 1102 | j=ABS(j); |
---|
| 1103 | do |
---|
| 1104 | { |
---|
| 1105 | l=i%j; |
---|
| 1106 | i=j; |
---|
| 1107 | j=l; |
---|
[246d15] | 1108 | } while (l!=0L); |
---|
[794463] | 1109 | if (i==POW_2_28) |
---|
| 1110 | result=nlRInit(POW_2_28); |
---|
| 1111 | else |
---|
| 1112 | result=INT_TO_SR(i); |
---|
[2b957a] | 1113 | nlTest(result,r); |
---|
[794463] | 1114 | return result; |
---|
[35aab3] | 1115 | } |
---|
| 1116 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1117 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1118 | if (SR_HDL(a) & SR_INT) |
---|
| 1119 | { |
---|
[794463] | 1120 | LONG aa=ABS(SR_TO_INT(a)); |
---|
| 1121 | unsigned long t=mpz_gcd_ui(NULL,b->z,(long)aa); |
---|
| 1122 | if (t==POW_2_28) |
---|
| 1123 | result=nlRInit(POW_2_28); |
---|
| 1124 | else |
---|
| 1125 | result=INT_TO_SR(t); |
---|
[35aab3] | 1126 | } |
---|
| 1127 | else |
---|
| 1128 | if (SR_HDL(b) & SR_INT) |
---|
| 1129 | { |
---|
[794463] | 1130 | LONG bb=ABS(SR_TO_INT(b)); |
---|
| 1131 | unsigned long t=mpz_gcd_ui(NULL,a->z,(long)bb); |
---|
| 1132 | if (t==POW_2_28) |
---|
| 1133 | result=nlRInit(POW_2_28); |
---|
| 1134 | else |
---|
| 1135 | result=INT_TO_SR(t); |
---|
[35aab3] | 1136 | } |
---|
| 1137 | else |
---|
| 1138 | { |
---|
[896561] | 1139 | result=ALLOC_RNUMBER(); |
---|
[a604c3] | 1140 | mpz_init(result->z); |
---|
| 1141 | mpz_gcd(result->z,a->z,b->z); |
---|
[ea66a97] | 1142 | result->s = 3; |
---|
| 1143 | #ifdef LDEBUG |
---|
| 1144 | result->debug=123456; |
---|
| 1145 | #endif |
---|
[246d15] | 1146 | result=nlShort3(result); |
---|
[35aab3] | 1147 | } |
---|
[2b957a] | 1148 | nlTest(result, r); |
---|
[35aab3] | 1149 | return result; |
---|
| 1150 | } |
---|
| 1151 | |
---|
[18057e] | 1152 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1153 | { |
---|
[18057e] | 1154 | assume(x->s<2); |
---|
[a604c3] | 1155 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1156 | { |
---|
[106406] | 1157 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1158 | return INT_TO_SR(0); |
---|
| 1159 | } |
---|
[18057e] | 1160 | if (x->s<2) |
---|
| 1161 | { |
---|
[a604c3] | 1162 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1163 | { |
---|
[106406] | 1164 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1165 | return INT_TO_SR(1); |
---|
| 1166 | } |
---|
| 1167 | } |
---|
| 1168 | return x; |
---|
| 1169 | } |
---|
[35aab3] | 1170 | /*2 |
---|
| 1171 | * simplify x |
---|
| 1172 | */ |
---|
[a642c64] | 1173 | void nlNormalize (number &x, const coeffs r) |
---|
[35aab3] | 1174 | { |
---|
| 1175 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1176 | return; |
---|
| 1177 | if (x->s==3) |
---|
| 1178 | { |
---|
[246d15] | 1179 | x=nlShort3_noinline(x); |
---|
[2b957a] | 1180 | nlTest(x,r); |
---|
[18057e] | 1181 | return; |
---|
[35aab3] | 1182 | } |
---|
[3ccafbf] | 1183 | else if (x->s==0) |
---|
[35aab3] | 1184 | { |
---|
[a604c3] | 1185 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1186 | { |
---|
[a604c3] | 1187 | mpz_clear(x->n); |
---|
[3ccafbf] | 1188 | x->s=3; |
---|
[246d15] | 1189 | x=nlShort3(x); |
---|
[eb059c5] | 1190 | } |
---|
[3ccafbf] | 1191 | else |
---|
[eb059c5] | 1192 | { |
---|
[a604c3] | 1193 | mpz_t gcd; |
---|
| 1194 | mpz_init(gcd); |
---|
| 1195 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1196 | x->s=1; |
---|
[a604c3] | 1197 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1198 | { |
---|
[a604c3] | 1199 | mpz_t r; |
---|
| 1200 | mpz_init(r); |
---|
| 1201 | MPZ_EXACTDIV(r,x->z,gcd); |
---|
| 1202 | mpz_set(x->z,r); |
---|
| 1203 | MPZ_EXACTDIV(r,x->n,gcd); |
---|
| 1204 | mpz_set(x->n,r); |
---|
| 1205 | mpz_clear(r); |
---|
| 1206 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1207 | { |
---|
[a604c3] | 1208 | mpz_clear(x->n); |
---|
[3ccafbf] | 1209 | x->s=3; |
---|
[246d15] | 1210 | x=nlShort3_noinline(x); |
---|
[3ccafbf] | 1211 | } |
---|
[eb059c5] | 1212 | } |
---|
[a604c3] | 1213 | mpz_clear(gcd); |
---|
[35aab3] | 1214 | } |
---|
| 1215 | } |
---|
[2b957a] | 1216 | nlTest(x, r); |
---|
[35aab3] | 1217 | } |
---|
| 1218 | |
---|
| 1219 | /*2 |
---|
| 1220 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1221 | */ |
---|
[a642c64] | 1222 | number nlLcm(number a, number b, const coeffs r) |
---|
[35aab3] | 1223 | { |
---|
| 1224 | number result; |
---|
[2b957a] | 1225 | nlTest(a, r); |
---|
| 1226 | nlTest(b, r); |
---|
[35aab3] | 1227 | if ((SR_HDL(b) & SR_INT) |
---|
| 1228 | || (b->s==3)) |
---|
| 1229 | { |
---|
| 1230 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
[a642c64] | 1231 | return nlCopy(a,r); |
---|
[35aab3] | 1232 | } |
---|
[896561] | 1233 | result=ALLOC_RNUMBER(); |
---|
[35aab3] | 1234 | #if defined(LDEBUG) |
---|
| 1235 | result->debug=123456; |
---|
| 1236 | #endif |
---|
| 1237 | result->s=3; |
---|
[a604c3] | 1238 | mpz_t gcd; |
---|
| 1239 | mpz_init(gcd); |
---|
| 1240 | mpz_init(result->z); |
---|
[35aab3] | 1241 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1242 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1243 | else |
---|
[a604c3] | 1244 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1245 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1246 | { |
---|
[a604c3] | 1247 | mpz_t bt; |
---|
| 1248 | mpz_init_set(bt,b->n); |
---|
| 1249 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1250 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1251 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1252 | else |
---|
[a604c3] | 1253 | mpz_mul(result->z,bt,a->z); |
---|
| 1254 | mpz_clear(bt); |
---|
[35aab3] | 1255 | } |
---|
| 1256 | else |
---|
| 1257 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1258 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1259 | else |
---|
[a604c3] | 1260 | mpz_mul(result->z,b->n,a->z); |
---|
| 1261 | mpz_clear(gcd); |
---|
[246d15] | 1262 | result=nlShort3(result); |
---|
[2b957a] | 1263 | nlTest(result, r); |
---|
[35aab3] | 1264 | return result; |
---|
| 1265 | } |
---|
| 1266 | |
---|
[79020f] | 1267 | // Map q \in QQ \to Zp |
---|
| 1268 | // src = Q, dst = Zp (or an extension of Zp?) |
---|
| 1269 | number nlModP(number q, const coeffs Q, const coeffs Zp) |
---|
[35aab3] | 1270 | { |
---|
[79020f] | 1271 | assume( getCoeffType(Q) == ID ); |
---|
| 1272 | |
---|
| 1273 | const int p = n_GetChar(Zp); |
---|
| 1274 | assume( p > 0 ); |
---|
| 1275 | |
---|
| 1276 | const long P = p; |
---|
| 1277 | assume( P > 0 ); |
---|
| 1278 | |
---|
| 1279 | // embedded long within q => only long numerator has to be converted |
---|
| 1280 | // to int (modulo char.) |
---|
| 1281 | if (SR_HDL(q) & SR_INT) |
---|
[35aab3] | 1282 | { |
---|
[79020f] | 1283 | long i = SR_TO_INT(q); |
---|
| 1284 | if (i<0L) |
---|
| 1285 | return n_Init( static_cast<int>( P - ((-i)%P) ), Zp); |
---|
| 1286 | else |
---|
| 1287 | return n_Init( static_cast<int>( i % P ), Zp ); |
---|
[35aab3] | 1288 | } |
---|
[79020f] | 1289 | |
---|
| 1290 | const unsigned long PP = p; |
---|
| 1291 | |
---|
| 1292 | // numerator modulo char. should fit into int |
---|
[e11ed0] | 1293 | number z = n_Init( static_cast<int>(mpz_fdiv_ui(q->z, PP)), Zp ); |
---|
[79020f] | 1294 | |
---|
| 1295 | // denominator != 1? |
---|
| 1296 | if (q->s!=3) |
---|
[35aab3] | 1297 | { |
---|
[79020f] | 1298 | // denominator modulo char. should fit into int |
---|
| 1299 | number n = n_Init( static_cast<int>(mpz_fdiv_ui(q->n, PP)), Zp ); |
---|
| 1300 | |
---|
| 1301 | number res = n_Div( z, n, Zp ); |
---|
| 1302 | |
---|
| 1303 | n_Delete(&z, Zp); |
---|
| 1304 | n_Delete(&n, Zp); |
---|
| 1305 | |
---|
| 1306 | return res; |
---|
[35aab3] | 1307 | } |
---|
[79020f] | 1308 | |
---|
| 1309 | return z; |
---|
[35aab3] | 1310 | } |
---|
| 1311 | |
---|
[894f5b1] | 1312 | #ifdef HAVE_RINGS |
---|
| 1313 | /*2 |
---|
[1919112] | 1314 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1315 | */ |
---|
[2518db] | 1316 | void nlGMP(number &i, number n, const coeffs r) |
---|
[894f5b1] | 1317 | { |
---|
| 1318 | // Hier brauche ich einfach die GMP Zahl |
---|
[2b957a] | 1319 | nlTest(i, r); |
---|
[2518db] | 1320 | nlNormalize(i, r); |
---|
[894f5b1] | 1321 | if (SR_HDL(i) & SR_INT) |
---|
| 1322 | { |
---|
[246d15] | 1323 | mpz_set_si((mpz_ptr) n, SR_TO_INT(i)); |
---|
[0959dc] | 1324 | return; |
---|
[894f5b1] | 1325 | } |
---|
| 1326 | if (i->s!=3) |
---|
| 1327 | { |
---|
| 1328 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1329 | } |
---|
[a604c3] | 1330 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1331 | } |
---|
| 1332 | #endif |
---|
| 1333 | |
---|
[35aab3] | 1334 | /*2 |
---|
| 1335 | * acces to denominator, other 1 for integers |
---|
| 1336 | */ |
---|
[a642c64] | 1337 | number nlGetDenom(number &n, const coeffs r) |
---|
[35aab3] | 1338 | { |
---|
| 1339 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1340 | { |
---|
| 1341 | if (n->s==0) |
---|
| 1342 | { |
---|
[a642c64] | 1343 | nlNormalize(n,r); |
---|
[35aab3] | 1344 | } |
---|
| 1345 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1346 | { |
---|
| 1347 | if (n->s!=3) |
---|
| 1348 | { |
---|
[896561] | 1349 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1350 | u->s=3; |
---|
| 1351 | #if defined(LDEBUG) |
---|
| 1352 | u->debug=123456; |
---|
| 1353 | #endif |
---|
[a604c3] | 1354 | mpz_init_set(u->z,n->n); |
---|
[246d15] | 1355 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1356 | return u; |
---|
| 1357 | } |
---|
| 1358 | } |
---|
| 1359 | } |
---|
| 1360 | return INT_TO_SR(1); |
---|
| 1361 | } |
---|
| 1362 | |
---|
| 1363 | /*2 |
---|
| 1364 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1365 | */ |
---|
[a642c64] | 1366 | number nlGetNumerator(number &n, const coeffs r) |
---|
[35aab3] | 1367 | { |
---|
| 1368 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1369 | { |
---|
| 1370 | if (n->s==0) |
---|
| 1371 | { |
---|
[a642c64] | 1372 | nlNormalize(n,r); |
---|
[35aab3] | 1373 | } |
---|
| 1374 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1375 | { |
---|
[896561] | 1376 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1377 | #if defined(LDEBUG) |
---|
| 1378 | u->debug=123456; |
---|
| 1379 | #endif |
---|
| 1380 | u->s=3; |
---|
[a604c3] | 1381 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1382 | if (n->s!=3) |
---|
| 1383 | { |
---|
[246d15] | 1384 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1385 | } |
---|
| 1386 | return u; |
---|
| 1387 | } |
---|
| 1388 | } |
---|
| 1389 | return n; // imm. int |
---|
| 1390 | } |
---|
| 1391 | |
---|
| 1392 | /*************************************************************** |
---|
| 1393 | * |
---|
| 1394 | * routines which are needed by Inline(d) routines |
---|
| 1395 | * |
---|
| 1396 | *******************************************************************/ |
---|
| 1397 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1398 | { |
---|
| 1399 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1400 | // long - short |
---|
| 1401 | BOOLEAN bo; |
---|
| 1402 | if (SR_HDL(b) & SR_INT) |
---|
| 1403 | { |
---|
| 1404 | if (a->s!=0) return FALSE; |
---|
| 1405 | number n=b; b=a; a=n; |
---|
| 1406 | } |
---|
| 1407 | // short - long |
---|
| 1408 | if (SR_HDL(a) & SR_INT) |
---|
| 1409 | { |
---|
| 1410 | if (b->s!=0) |
---|
| 1411 | return FALSE; |
---|
[a604c3] | 1412 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1413 | return FALSE; |
---|
[a604c3] | 1414 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1415 | return FALSE; |
---|
[a604c3] | 1416 | mpz_t bb; |
---|
| 1417 | mpz_init_set(bb,b->n); |
---|
| 1418 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1419 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1420 | mpz_clear(bb); |
---|
[35aab3] | 1421 | return bo; |
---|
| 1422 | } |
---|
| 1423 | // long - long |
---|
| 1424 | if (((a->s==1) && (b->s==3)) |
---|
| 1425 | || ((b->s==1) && (a->s==3))) |
---|
| 1426 | return FALSE; |
---|
[a604c3] | 1427 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1428 | return FALSE; |
---|
[a604c3] | 1429 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1430 | return FALSE; |
---|
[a604c3] | 1431 | mpz_t aa; |
---|
| 1432 | mpz_t bb; |
---|
| 1433 | mpz_init_set(aa,a->z); |
---|
| 1434 | mpz_init_set(bb,b->z); |
---|
| 1435 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1436 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1437 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1438 | mpz_clear(aa); |
---|
| 1439 | mpz_clear(bb); |
---|
[35aab3] | 1440 | return bo; |
---|
| 1441 | } |
---|
| 1442 | |
---|
| 1443 | // copy not immediate number a |
---|
[e69b7c] | 1444 | number _nlCopy_NoImm(number a) |
---|
[35aab3] | 1445 | { |
---|
| 1446 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
[e69b7c] | 1447 | //nlTest(a, r); |
---|
[896561] | 1448 | number b=ALLOC_RNUMBER(); |
---|
[35aab3] | 1449 | #if defined(LDEBUG) |
---|
| 1450 | b->debug=123456; |
---|
| 1451 | #endif |
---|
| 1452 | switch (a->s) |
---|
| 1453 | { |
---|
| 1454 | case 0: |
---|
| 1455 | case 1: |
---|
[a604c3] | 1456 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1457 | case 3: |
---|
[a604c3] | 1458 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1459 | break; |
---|
| 1460 | } |
---|
| 1461 | b->s = a->s; |
---|
| 1462 | return b; |
---|
| 1463 | } |
---|
| 1464 | |
---|
[fee4c2] | 1465 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1466 | { |
---|
| 1467 | { |
---|
| 1468 | switch ((*a)->s) |
---|
| 1469 | { |
---|
| 1470 | case 0: |
---|
| 1471 | case 1: |
---|
[a604c3] | 1472 | mpz_clear((*a)->n); |
---|
[35aab3] | 1473 | case 3: |
---|
[a604c3] | 1474 | mpz_clear((*a)->z); |
---|
[35aab3] | 1475 | #ifdef LDEBUG |
---|
| 1476 | (*a)->s=2; |
---|
| 1477 | #endif |
---|
| 1478 | } |
---|
[d663f2] | 1479 | FREE_RNUMBER(*a); // omFreeBin((void *) *a, rnumber_bin); |
---|
[35aab3] | 1480 | } |
---|
| 1481 | } |
---|
| 1482 | |
---|
[e69b7c] | 1483 | number _nlNeg_NoImm(number a) |
---|
[35aab3] | 1484 | { |
---|
| 1485 | { |
---|
[a604c3] | 1486 | mpz_neg(a->z,a->z); |
---|
[246d15] | 1487 | if (a->s==3) |
---|
[35aab3] | 1488 | { |
---|
[246d15] | 1489 | a=nlShort3(a); |
---|
[35aab3] | 1490 | } |
---|
| 1491 | } |
---|
| 1492 | return a; |
---|
| 1493 | } |
---|
| 1494 | |
---|
[e69b7c] | 1495 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1496 | { |
---|
[896561] | 1497 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1498 | #if defined(LDEBUG) |
---|
| 1499 | u->debug=123456; |
---|
| 1500 | #endif |
---|
[a604c3] | 1501 | mpz_init(u->z); |
---|
[35aab3] | 1502 | if (SR_HDL(b) & SR_INT) |
---|
| 1503 | { |
---|
| 1504 | number x=a; |
---|
| 1505 | a=b; |
---|
| 1506 | b=x; |
---|
| 1507 | } |
---|
| 1508 | if (SR_HDL(a) & SR_INT) |
---|
| 1509 | { |
---|
| 1510 | switch (b->s) |
---|
| 1511 | { |
---|
| 1512 | case 0: |
---|
| 1513 | case 1:/* a:short, b:1 */ |
---|
| 1514 | { |
---|
[a604c3] | 1515 | mpz_t x; |
---|
| 1516 | mpz_init(x); |
---|
| 1517 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1518 | mpz_add(u->z,b->z,x); |
---|
| 1519 | mpz_clear(x); |
---|
| 1520 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1521 | { |
---|
[a604c3] | 1522 | mpz_clear(u->z); |
---|
[896561] | 1523 | FREE_RNUMBER(u); |
---|
[35aab3] | 1524 | return INT_TO_SR(0); |
---|
| 1525 | } |
---|
[a604c3] | 1526 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1527 | { |
---|
[a604c3] | 1528 | mpz_clear(u->z); |
---|
[896561] | 1529 | FREE_RNUMBER(u); |
---|
[35aab3] | 1530 | return INT_TO_SR(1); |
---|
| 1531 | } |
---|
[a604c3] | 1532 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1533 | u->s = 0; |
---|
| 1534 | break; |
---|
| 1535 | } |
---|
| 1536 | case 3: |
---|
| 1537 | { |
---|
[7447d8] | 1538 | if ((long)a>0L) |
---|
[a604c3] | 1539 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1540 | else |
---|
[a604c3] | 1541 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1542 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1543 | { |
---|
[a604c3] | 1544 | mpz_clear(u->z); |
---|
[896561] | 1545 | FREE_RNUMBER(u); |
---|
[35aab3] | 1546 | return INT_TO_SR(0); |
---|
| 1547 | } |
---|
| 1548 | u->s = 3; |
---|
[246d15] | 1549 | u=nlShort3(u); |
---|
[35aab3] | 1550 | break; |
---|
| 1551 | } |
---|
| 1552 | } |
---|
| 1553 | } |
---|
| 1554 | else |
---|
| 1555 | { |
---|
| 1556 | switch (a->s) |
---|
| 1557 | { |
---|
| 1558 | case 0: |
---|
| 1559 | case 1: |
---|
| 1560 | { |
---|
| 1561 | switch(b->s) |
---|
| 1562 | { |
---|
| 1563 | case 0: |
---|
| 1564 | case 1: |
---|
| 1565 | { |
---|
[a604c3] | 1566 | mpz_t x; |
---|
| 1567 | mpz_init(x); |
---|
[e8a0aa] | 1568 | |
---|
[a604c3] | 1569 | mpz_mul(x,b->z,a->n); |
---|
| 1570 | mpz_mul(u->z,a->z,b->n); |
---|
| 1571 | mpz_add(u->z,u->z,x); |
---|
| 1572 | mpz_clear(x); |
---|
[e8a0aa] | 1573 | |
---|
[a604c3] | 1574 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1575 | { |
---|
[a604c3] | 1576 | mpz_clear(u->z); |
---|
[896561] | 1577 | FREE_RNUMBER(u); |
---|
[35aab3] | 1578 | return INT_TO_SR(0); |
---|
| 1579 | } |
---|
[a604c3] | 1580 | mpz_init(u->n); |
---|
| 1581 | mpz_mul(u->n,a->n,b->n); |
---|
| 1582 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1583 | { |
---|
[a604c3] | 1584 | mpz_clear(u->z); |
---|
| 1585 | mpz_clear(u->n); |
---|
[896561] | 1586 | FREE_RNUMBER(u); |
---|
[35aab3] | 1587 | return INT_TO_SR(1); |
---|
| 1588 | } |
---|
| 1589 | u->s = 0; |
---|
| 1590 | break; |
---|
| 1591 | } |
---|
| 1592 | case 3: /* a:1 b:3 */ |
---|
| 1593 | { |
---|
[a604c3] | 1594 | mpz_mul(u->z,b->z,a->n); |
---|
| 1595 | mpz_add(u->z,u->z,a->z); |
---|
| 1596 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1597 | { |
---|
[a604c3] | 1598 | mpz_clear(u->z); |
---|
[896561] | 1599 | FREE_RNUMBER(u); |
---|
[35aab3] | 1600 | return INT_TO_SR(0); |
---|
| 1601 | } |
---|
[a604c3] | 1602 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1603 | { |
---|
[a604c3] | 1604 | mpz_clear(u->z); |
---|
[896561] | 1605 | FREE_RNUMBER(u); |
---|
[35aab3] | 1606 | return INT_TO_SR(1); |
---|
| 1607 | } |
---|
[a604c3] | 1608 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1609 | u->s = 0; |
---|
| 1610 | break; |
---|
| 1611 | } |
---|
| 1612 | } /*switch (b->s) */ |
---|
| 1613 | break; |
---|
| 1614 | } |
---|
| 1615 | case 3: |
---|
| 1616 | { |
---|
| 1617 | switch(b->s) |
---|
| 1618 | { |
---|
| 1619 | case 0: |
---|
| 1620 | case 1:/* a:3, b:1 */ |
---|
| 1621 | { |
---|
[a604c3] | 1622 | mpz_mul(u->z,a->z,b->n); |
---|
| 1623 | mpz_add(u->z,u->z,b->z); |
---|
| 1624 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1625 | { |
---|
[a604c3] | 1626 | mpz_clear(u->z); |
---|
[896561] | 1627 | FREE_RNUMBER(u); |
---|
[35aab3] | 1628 | return INT_TO_SR(0); |
---|
| 1629 | } |
---|
[a604c3] | 1630 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1631 | { |
---|
[a604c3] | 1632 | mpz_clear(u->z); |
---|
[896561] | 1633 | FREE_RNUMBER(u); |
---|
[35aab3] | 1634 | return INT_TO_SR(1); |
---|
| 1635 | } |
---|
[a604c3] | 1636 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1637 | u->s = 0; |
---|
| 1638 | break; |
---|
| 1639 | } |
---|
| 1640 | case 3: |
---|
| 1641 | { |
---|
[a604c3] | 1642 | mpz_add(u->z,a->z,b->z); |
---|
| 1643 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1644 | { |
---|
[a604c3] | 1645 | mpz_clear(u->z); |
---|
[896561] | 1646 | FREE_RNUMBER(u); |
---|
[35aab3] | 1647 | return INT_TO_SR(0); |
---|
| 1648 | } |
---|
| 1649 | u->s = 3; |
---|
[246d15] | 1650 | u=nlShort3(u); |
---|
[35aab3] | 1651 | break; |
---|
| 1652 | } |
---|
| 1653 | } |
---|
| 1654 | break; |
---|
| 1655 | } |
---|
| 1656 | } |
---|
| 1657 | } |
---|
| 1658 | return u; |
---|
| 1659 | } |
---|
| 1660 | |
---|
[65c5f5] | 1661 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b) |
---|
| 1662 | { |
---|
| 1663 | if (SR_HDL(b) & SR_INT) |
---|
| 1664 | { |
---|
| 1665 | switch (a->s) |
---|
| 1666 | { |
---|
| 1667 | case 0: |
---|
| 1668 | case 1:/* b:short, a:1 */ |
---|
| 1669 | { |
---|
| 1670 | mpz_t x; |
---|
| 1671 | mpz_init(x); |
---|
| 1672 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1673 | mpz_add(a->z,a->z,x); |
---|
| 1674 | mpz_clear(x); |
---|
| 1675 | a->s = 0; |
---|
| 1676 | a=nlShort1(a); |
---|
| 1677 | break; |
---|
| 1678 | } |
---|
| 1679 | case 3: |
---|
| 1680 | { |
---|
| 1681 | if ((long)b>0L) |
---|
| 1682 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
| 1683 | else |
---|
| 1684 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
| 1685 | a->s = 3; |
---|
| 1686 | a=nlShort3_noinline(a); |
---|
| 1687 | break; |
---|
| 1688 | } |
---|
| 1689 | } |
---|
| 1690 | return; |
---|
| 1691 | } |
---|
| 1692 | else if (SR_HDL(a) & SR_INT) |
---|
| 1693 | { |
---|
| 1694 | number u=ALLOC_RNUMBER(); |
---|
| 1695 | #if defined(LDEBUG) |
---|
| 1696 | u->debug=123456; |
---|
| 1697 | #endif |
---|
| 1698 | mpz_init(u->z); |
---|
| 1699 | switch (b->s) |
---|
| 1700 | { |
---|
| 1701 | case 0: |
---|
| 1702 | case 1:/* a:short, b:1 */ |
---|
| 1703 | { |
---|
| 1704 | mpz_t x; |
---|
| 1705 | mpz_init(x); |
---|
| 1706 | |
---|
| 1707 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1708 | mpz_add(u->z,b->z,x); |
---|
| 1709 | mpz_clear(x); |
---|
| 1710 | // result cannot be 0, if coeffs are normalized |
---|
| 1711 | mpz_init_set(u->n,b->n); |
---|
| 1712 | u->s = 0; |
---|
| 1713 | u=nlShort1(u); |
---|
| 1714 | break; |
---|
| 1715 | } |
---|
| 1716 | case 3: |
---|
| 1717 | { |
---|
| 1718 | if ((long)a>0L) |
---|
| 1719 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1720 | else |
---|
| 1721 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1722 | // result cannot be 0, if coeffs are normalized |
---|
| 1723 | u->s = 3; |
---|
| 1724 | u=nlShort3_noinline(u); |
---|
| 1725 | break; |
---|
| 1726 | } |
---|
| 1727 | } |
---|
| 1728 | a=u; |
---|
| 1729 | } |
---|
| 1730 | else |
---|
| 1731 | { |
---|
| 1732 | switch (a->s) |
---|
| 1733 | { |
---|
| 1734 | case 0: |
---|
| 1735 | case 1: |
---|
| 1736 | { |
---|
| 1737 | switch(b->s) |
---|
| 1738 | { |
---|
| 1739 | case 0: |
---|
| 1740 | case 1: /* a:1 b:1 */ |
---|
| 1741 | { |
---|
| 1742 | mpz_t x; |
---|
| 1743 | mpz_t y; |
---|
| 1744 | mpz_init(x); |
---|
| 1745 | mpz_init(y); |
---|
| 1746 | mpz_mul(x,b->z,a->n); |
---|
| 1747 | mpz_mul(y,a->z,b->n); |
---|
| 1748 | mpz_add(a->z,x,y); |
---|
| 1749 | mpz_clear(x); |
---|
| 1750 | mpz_clear(y); |
---|
| 1751 | mpz_mul(a->n,a->n,b->n); |
---|
| 1752 | a->s = 0; |
---|
| 1753 | break; |
---|
| 1754 | } |
---|
| 1755 | case 3: /* a:1 b:3 */ |
---|
| 1756 | { |
---|
| 1757 | mpz_t x; |
---|
| 1758 | mpz_init(x); |
---|
| 1759 | mpz_mul(x,b->z,a->n); |
---|
| 1760 | mpz_add(a->z,a->z,x); |
---|
| 1761 | mpz_clear(x); |
---|
| 1762 | a->s = 0; |
---|
| 1763 | break; |
---|
| 1764 | } |
---|
| 1765 | } /*switch (b->s) */ |
---|
| 1766 | a=nlShort1(a); |
---|
| 1767 | break; |
---|
| 1768 | } |
---|
| 1769 | case 3: |
---|
| 1770 | { |
---|
| 1771 | switch(b->s) |
---|
| 1772 | { |
---|
| 1773 | case 0: |
---|
| 1774 | case 1:/* a:3, b:1 */ |
---|
| 1775 | { |
---|
| 1776 | mpz_t x; |
---|
| 1777 | mpz_init(x); |
---|
| 1778 | mpz_mul(x,a->z,b->n); |
---|
| 1779 | mpz_add(a->z,b->z,x); |
---|
| 1780 | mpz_clear(x); |
---|
| 1781 | mpz_init_set(a->n,b->n); |
---|
| 1782 | a->s = 0; |
---|
| 1783 | a=nlShort1(a); |
---|
| 1784 | break; |
---|
| 1785 | } |
---|
| 1786 | case 3: |
---|
| 1787 | { |
---|
| 1788 | mpz_add(a->z,a->z,b->z); |
---|
| 1789 | a->s = 3; |
---|
| 1790 | a=nlShort3_noinline(a); |
---|
| 1791 | break; |
---|
| 1792 | } |
---|
| 1793 | } |
---|
| 1794 | break; |
---|
| 1795 | } |
---|
| 1796 | } |
---|
| 1797 | } |
---|
| 1798 | } |
---|
| 1799 | |
---|
[e69b7c] | 1800 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 1801 | { |
---|
[896561] | 1802 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 1803 | #if defined(LDEBUG) |
---|
| 1804 | u->debug=123456; |
---|
| 1805 | #endif |
---|
[a604c3] | 1806 | mpz_init(u->z); |
---|
[35aab3] | 1807 | if (SR_HDL(a) & SR_INT) |
---|
| 1808 | { |
---|
| 1809 | switch (b->s) |
---|
| 1810 | { |
---|
| 1811 | case 0: |
---|
| 1812 | case 1:/* a:short, b:1 */ |
---|
| 1813 | { |
---|
[a604c3] | 1814 | mpz_t x; |
---|
| 1815 | mpz_init(x); |
---|
| 1816 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1817 | mpz_sub(u->z,x,b->z); |
---|
| 1818 | mpz_clear(x); |
---|
| 1819 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1820 | { |
---|
[a604c3] | 1821 | mpz_clear(u->z); |
---|
[896561] | 1822 | FREE_RNUMBER(u); |
---|
[35aab3] | 1823 | return INT_TO_SR(0); |
---|
| 1824 | } |
---|
[a604c3] | 1825 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1826 | { |
---|
[a604c3] | 1827 | mpz_clear(u->z); |
---|
[896561] | 1828 | FREE_RNUMBER(u); |
---|
[35aab3] | 1829 | return INT_TO_SR(1); |
---|
| 1830 | } |
---|
[a604c3] | 1831 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1832 | u->s = 0; |
---|
| 1833 | break; |
---|
| 1834 | } |
---|
| 1835 | case 3: |
---|
| 1836 | { |
---|
[7447d8] | 1837 | if ((long)a>0L) |
---|
[35aab3] | 1838 | { |
---|
[a604c3] | 1839 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1840 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1841 | } |
---|
| 1842 | else |
---|
| 1843 | { |
---|
[a604c3] | 1844 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1845 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1846 | } |
---|
[a604c3] | 1847 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1848 | { |
---|
[a604c3] | 1849 | mpz_clear(u->z); |
---|
[896561] | 1850 | FREE_RNUMBER(u); |
---|
[35aab3] | 1851 | return INT_TO_SR(0); |
---|
| 1852 | } |
---|
| 1853 | u->s = 3; |
---|
[246d15] | 1854 | u=nlShort3(u); |
---|
[35aab3] | 1855 | break; |
---|
| 1856 | } |
---|
| 1857 | } |
---|
| 1858 | } |
---|
| 1859 | else if (SR_HDL(b) & SR_INT) |
---|
| 1860 | { |
---|
| 1861 | switch (a->s) |
---|
| 1862 | { |
---|
| 1863 | case 0: |
---|
| 1864 | case 1:/* b:short, a:1 */ |
---|
| 1865 | { |
---|
[a604c3] | 1866 | mpz_t x; |
---|
| 1867 | mpz_init(x); |
---|
| 1868 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1869 | mpz_sub(u->z,a->z,x); |
---|
| 1870 | mpz_clear(x); |
---|
| 1871 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1872 | { |
---|
[a604c3] | 1873 | mpz_clear(u->z); |
---|
[896561] | 1874 | FREE_RNUMBER(u); |
---|
[35aab3] | 1875 | return INT_TO_SR(0); |
---|
| 1876 | } |
---|
[a604c3] | 1877 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1878 | { |
---|
[a604c3] | 1879 | mpz_clear(u->z); |
---|
[896561] | 1880 | FREE_RNUMBER(u); |
---|
[35aab3] | 1881 | return INT_TO_SR(1); |
---|
| 1882 | } |
---|
[a604c3] | 1883 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1884 | u->s = 0; |
---|
| 1885 | break; |
---|
| 1886 | } |
---|
| 1887 | case 3: |
---|
| 1888 | { |
---|
[7447d8] | 1889 | if ((long)b>0L) |
---|
[35aab3] | 1890 | { |
---|
[a604c3] | 1891 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1892 | } |
---|
| 1893 | else |
---|
| 1894 | { |
---|
[a604c3] | 1895 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1896 | } |
---|
[a604c3] | 1897 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1898 | { |
---|
[a604c3] | 1899 | mpz_clear(u->z); |
---|
[896561] | 1900 | FREE_RNUMBER(u); |
---|
[35aab3] | 1901 | return INT_TO_SR(0); |
---|
| 1902 | } |
---|
| 1903 | u->s = 3; |
---|
[246d15] | 1904 | u=nlShort3(u); |
---|
[35aab3] | 1905 | break; |
---|
| 1906 | } |
---|
| 1907 | } |
---|
| 1908 | } |
---|
| 1909 | else |
---|
| 1910 | { |
---|
| 1911 | switch (a->s) |
---|
| 1912 | { |
---|
| 1913 | case 0: |
---|
| 1914 | case 1: |
---|
| 1915 | { |
---|
| 1916 | switch(b->s) |
---|
| 1917 | { |
---|
| 1918 | case 0: |
---|
| 1919 | case 1: |
---|
| 1920 | { |
---|
[a604c3] | 1921 | mpz_t x; |
---|
| 1922 | mpz_t y; |
---|
| 1923 | mpz_init(x); |
---|
| 1924 | mpz_init(y); |
---|
| 1925 | mpz_mul(x,b->z,a->n); |
---|
| 1926 | mpz_mul(y,a->z,b->n); |
---|
| 1927 | mpz_sub(u->z,y,x); |
---|
| 1928 | mpz_clear(x); |
---|
| 1929 | mpz_clear(y); |
---|
| 1930 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1931 | { |
---|
[a604c3] | 1932 | mpz_clear(u->z); |
---|
[896561] | 1933 | FREE_RNUMBER(u); |
---|
[35aab3] | 1934 | return INT_TO_SR(0); |
---|
| 1935 | } |
---|
[a604c3] | 1936 | mpz_init(u->n); |
---|
| 1937 | mpz_mul(u->n,a->n,b->n); |
---|
| 1938 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1939 | { |
---|
[a604c3] | 1940 | mpz_clear(u->z); |
---|
| 1941 | mpz_clear(u->n); |
---|
[896561] | 1942 | FREE_RNUMBER(u); |
---|
[35aab3] | 1943 | return INT_TO_SR(1); |
---|
| 1944 | } |
---|
| 1945 | u->s = 0; |
---|
| 1946 | break; |
---|
| 1947 | } |
---|
| 1948 | case 3: /* a:1, b:3 */ |
---|
| 1949 | { |
---|
[a604c3] | 1950 | mpz_t x; |
---|
| 1951 | mpz_init(x); |
---|
| 1952 | mpz_mul(x,b->z,a->n); |
---|
| 1953 | mpz_sub(u->z,a->z,x); |
---|
| 1954 | mpz_clear(x); |
---|
| 1955 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1956 | { |
---|
[a604c3] | 1957 | mpz_clear(u->z); |
---|
[896561] | 1958 | FREE_RNUMBER(u); |
---|
[35aab3] | 1959 | return INT_TO_SR(0); |
---|
| 1960 | } |
---|
[a604c3] | 1961 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1962 | { |
---|
[a604c3] | 1963 | mpz_clear(u->z); |
---|
[896561] | 1964 | FREE_RNUMBER(u); |
---|
[35aab3] | 1965 | return INT_TO_SR(1); |
---|
| 1966 | } |
---|
[a604c3] | 1967 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1968 | u->s = 0; |
---|
| 1969 | break; |
---|
| 1970 | } |
---|
| 1971 | } |
---|
| 1972 | break; |
---|
| 1973 | } |
---|
| 1974 | case 3: |
---|
| 1975 | { |
---|
| 1976 | switch(b->s) |
---|
| 1977 | { |
---|
| 1978 | case 0: |
---|
| 1979 | case 1: /* a:3, b:1 */ |
---|
| 1980 | { |
---|
[a604c3] | 1981 | mpz_t x; |
---|
| 1982 | mpz_init(x); |
---|
| 1983 | mpz_mul(x,a->z,b->n); |
---|
| 1984 | mpz_sub(u->z,x,b->z); |
---|
| 1985 | mpz_clear(x); |
---|
| 1986 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1987 | { |
---|
[a604c3] | 1988 | mpz_clear(u->z); |
---|
[896561] | 1989 | FREE_RNUMBER(u); |
---|
[35aab3] | 1990 | return INT_TO_SR(0); |
---|
| 1991 | } |
---|
[a604c3] | 1992 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1993 | { |
---|
[a604c3] | 1994 | mpz_clear(u->z); |
---|
[896561] | 1995 | FREE_RNUMBER(u); |
---|
[35aab3] | 1996 | return INT_TO_SR(1); |
---|
| 1997 | } |
---|
[a604c3] | 1998 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1999 | u->s = 0; |
---|
| 2000 | break; |
---|
| 2001 | } |
---|
| 2002 | case 3: /* a:3 , b:3 */ |
---|
| 2003 | { |
---|
[a604c3] | 2004 | mpz_sub(u->z,a->z,b->z); |
---|
| 2005 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 2006 | { |
---|
[a604c3] | 2007 | mpz_clear(u->z); |
---|
[896561] | 2008 | FREE_RNUMBER(u); |
---|
[35aab3] | 2009 | return INT_TO_SR(0); |
---|
| 2010 | } |
---|
| 2011 | u->s = 3; |
---|
[246d15] | 2012 | u=nlShort3(u); |
---|
[35aab3] | 2013 | break; |
---|
| 2014 | } |
---|
| 2015 | } |
---|
| 2016 | break; |
---|
| 2017 | } |
---|
| 2018 | } |
---|
| 2019 | } |
---|
| 2020 | return u; |
---|
| 2021 | } |
---|
| 2022 | |
---|
| 2023 | // a and b are intermediate, but a*b not |
---|
[e69b7c] | 2024 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
[35aab3] | 2025 | { |
---|
[896561] | 2026 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 2027 | #if defined(LDEBUG) |
---|
| 2028 | u->debug=123456; |
---|
| 2029 | #endif |
---|
| 2030 | u->s=3; |
---|
[246d15] | 2031 | mpz_init_set_si(u->z,SR_TO_INT(a)); |
---|
| 2032 | mpz_mul_si(u->z,u->z,SR_TO_INT(b)); |
---|
[35aab3] | 2033 | return u; |
---|
| 2034 | } |
---|
| 2035 | |
---|
| 2036 | // a or b are not immediate |
---|
[e69b7c] | 2037 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
[35aab3] | 2038 | { |
---|
| 2039 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
[896561] | 2040 | number u=ALLOC_RNUMBER(); |
---|
[35aab3] | 2041 | #if defined(LDEBUG) |
---|
| 2042 | u->debug=123456; |
---|
| 2043 | #endif |
---|
[a604c3] | 2044 | mpz_init(u->z); |
---|
[35aab3] | 2045 | if (SR_HDL(b) & SR_INT) |
---|
| 2046 | { |
---|
| 2047 | number x=a; |
---|
| 2048 | a=b; |
---|
| 2049 | b=x; |
---|
| 2050 | } |
---|
| 2051 | if (SR_HDL(a) & SR_INT) |
---|
| 2052 | { |
---|
| 2053 | u->s=b->s; |
---|
| 2054 | if (u->s==1) u->s=0; |
---|
[7447d8] | 2055 | if ((long)a>0L) |
---|
[35aab3] | 2056 | { |
---|
[a604c3] | 2057 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 2058 | } |
---|
| 2059 | else |
---|
| 2060 | { |
---|
| 2061 | if (a==INT_TO_SR(-1)) |
---|
| 2062 | { |
---|
[a604c3] | 2063 | mpz_set(u->z,b->z); |
---|
| 2064 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2065 | u->s=b->s; |
---|
| 2066 | } |
---|
| 2067 | else |
---|
| 2068 | { |
---|
[a604c3] | 2069 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 2070 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2071 | } |
---|
| 2072 | } |
---|
| 2073 | if (u->s<2) |
---|
| 2074 | { |
---|
[a604c3] | 2075 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2076 | { |
---|
[a604c3] | 2077 | mpz_clear(u->z); |
---|
[896561] | 2078 | FREE_RNUMBER(u); |
---|
[35aab3] | 2079 | return INT_TO_SR(1); |
---|
| 2080 | } |
---|
[a604c3] | 2081 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2082 | } |
---|
| 2083 | else //u->s==3 |
---|
| 2084 | { |
---|
[246d15] | 2085 | u=nlShort3(u); |
---|
[35aab3] | 2086 | } |
---|
| 2087 | } |
---|
| 2088 | else |
---|
| 2089 | { |
---|
[a604c3] | 2090 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 2091 | u->s = 0; |
---|
| 2092 | if(a->s==3) |
---|
| 2093 | { |
---|
| 2094 | if(b->s==3) |
---|
| 2095 | { |
---|
| 2096 | u->s = 3; |
---|
| 2097 | } |
---|
| 2098 | else |
---|
| 2099 | { |
---|
[a604c3] | 2100 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2101 | { |
---|
[a604c3] | 2102 | mpz_clear(u->z); |
---|
[896561] | 2103 | FREE_RNUMBER(u); |
---|
[35aab3] | 2104 | return INT_TO_SR(1); |
---|
| 2105 | } |
---|
[a604c3] | 2106 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2107 | } |
---|
| 2108 | } |
---|
| 2109 | else |
---|
| 2110 | { |
---|
| 2111 | if(b->s==3) |
---|
| 2112 | { |
---|
[a604c3] | 2113 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 2114 | { |
---|
[a604c3] | 2115 | mpz_clear(u->z); |
---|
[896561] | 2116 | FREE_RNUMBER(u); |
---|
[35aab3] | 2117 | return INT_TO_SR(1); |
---|
| 2118 | } |
---|
[a604c3] | 2119 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 2120 | } |
---|
| 2121 | else |
---|
| 2122 | { |
---|
[a604c3] | 2123 | mpz_init(u->n); |
---|
| 2124 | mpz_mul(u->n,a->n,b->n); |
---|
| 2125 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 2126 | { |
---|
[a604c3] | 2127 | mpz_clear(u->z); |
---|
| 2128 | mpz_clear(u->n); |
---|
[896561] | 2129 | FREE_RNUMBER(u); |
---|
[35aab3] | 2130 | return INT_TO_SR(1); |
---|
| 2131 | } |
---|
| 2132 | } |
---|
| 2133 | } |
---|
| 2134 | } |
---|
| 2135 | return u; |
---|
| 2136 | } |
---|
| 2137 | |
---|
[371bc5f] | 2138 | /*2 |
---|
[fa31d2] | 2139 | * copy a to b for mapping |
---|
[371bc5f] | 2140 | */ |
---|
[fa31d2] | 2141 | number nlCopyMap(number a, const coeffs src, const coeffs dst) |
---|
[371bc5f] | 2142 | { |
---|
[fa31d2] | 2143 | assume( getCoeffType(dst) == ID ); |
---|
| 2144 | assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2145 | |
---|
[371bc5f] | 2146 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2147 | { |
---|
| 2148 | return a; |
---|
| 2149 | } |
---|
[e69b7c] | 2150 | return _nlCopy_NoImm(a); |
---|
[371bc5f] | 2151 | } |
---|
[2b957a] | 2152 | |
---|
[371bc5f] | 2153 | nMapFunc nlSetMap(const coeffs src, const coeffs dst) |
---|
| 2154 | { |
---|
[fa31d2] | 2155 | assume( getCoeffType(dst) == ID ); |
---|
[2b957a] | 2156 | // assume( getCoeffType(src) == ID ); |
---|
[9bb5457] | 2157 | |
---|
[1cce47] | 2158 | if (nCoeff_is_Q(src)) |
---|
[371bc5f] | 2159 | { |
---|
[c14846c] | 2160 | return ndCopyMap; |
---|
[371bc5f] | 2161 | } |
---|
[1cce47] | 2162 | if (nCoeff_is_Zp(src)) |
---|
[371bc5f] | 2163 | { |
---|
| 2164 | return nlMapP; |
---|
| 2165 | } |
---|
[1cce47] | 2166 | if (nCoeff_is_R(src)) |
---|
[371bc5f] | 2167 | { |
---|
| 2168 | return nlMapR; |
---|
| 2169 | } |
---|
[1cce47] | 2170 | if (nCoeff_is_long_R(src)) |
---|
[371bc5f] | 2171 | { |
---|
| 2172 | return nlMapLongR; /* long R -> Q */ |
---|
| 2173 | } |
---|
| 2174 | #ifdef HAVE_RINGS |
---|
[1cce47] | 2175 | if (nCoeff_is_Ring_Z(src) || nCoeff_is_Ring_PtoM(src) || nCoeff_is_Ring_ModN(src)) |
---|
[371bc5f] | 2176 | { |
---|
| 2177 | return nlMapGMP; |
---|
| 2178 | } |
---|
[1cce47] | 2179 | if (nCoeff_is_Ring_2toM(src)) |
---|
[371bc5f] | 2180 | { |
---|
| 2181 | return nlMapMachineInt; |
---|
| 2182 | } |
---|
| 2183 | #endif |
---|
| 2184 | return NULL; |
---|
| 2185 | } |
---|
[35aab3] | 2186 | /*2 |
---|
| 2187 | * z := i |
---|
| 2188 | */ |
---|
[246d15] | 2189 | number nlRInit (long i) |
---|
[35aab3] | 2190 | { |
---|
[896561] | 2191 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2192 | #if defined(LDEBUG) |
---|
| 2193 | z->debug=123456; |
---|
| 2194 | #endif |
---|
[246d15] | 2195 | mpz_init_set_si(z->z,i); |
---|
[35aab3] | 2196 | z->s = 3; |
---|
| 2197 | return z; |
---|
| 2198 | } |
---|
| 2199 | |
---|
| 2200 | /*2 |
---|
| 2201 | * z := i/j |
---|
| 2202 | */ |
---|
[a642c64] | 2203 | number nlInit2 (int i, int j, const coeffs r) |
---|
[35aab3] | 2204 | { |
---|
[896561] | 2205 | number z=ALLOC_RNUMBER(); |
---|
[35aab3] | 2206 | #if defined(LDEBUG) |
---|
| 2207 | z->debug=123456; |
---|
| 2208 | #endif |
---|
[a604c3] | 2209 | mpz_init_set_si(z->z,(long)i); |
---|
| 2210 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 2211 | z->s = 0; |
---|
[a642c64] | 2212 | nlNormalize(z,r); |
---|
[35aab3] | 2213 | return z; |
---|
| 2214 | } |
---|
| 2215 | |
---|
[a642c64] | 2216 | number nlInit2gmp (mpz_t i, mpz_t j, const coeffs r) |
---|
[a1ab2a] | 2217 | { |
---|
[896561] | 2218 | number z=ALLOC_RNUMBER(); |
---|
[a1ab2a] | 2219 | #if defined(LDEBUG) |
---|
| 2220 | z->debug=123456; |
---|
| 2221 | #endif |
---|
[a604c3] | 2222 | mpz_init_set(z->z,i); |
---|
| 2223 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 2224 | z->s = 0; |
---|
[a642c64] | 2225 | nlNormalize(z,r); |
---|
[a1ab2a] | 2226 | return z; |
---|
| 2227 | } |
---|
| 2228 | |
---|
[35aab3] | 2229 | #else // DO_LINLINE |
---|
| 2230 | |
---|
| 2231 | // declare immedate routines |
---|
[2f3764] | 2232 | number nlRInit (long i); |
---|
[35aab3] | 2233 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2234 | number _nlCopy_NoImm(number a); |
---|
| 2235 | number _nlNeg_NoImm(number a); |
---|
| 2236 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
[65c5f5] | 2237 | void _nlInpAdd_aNoImm_OR_bNoImm(number &a, number b); |
---|
[35aab3] | 2238 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2239 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2240 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 2241 | |
---|
| 2242 | #endif |
---|
| 2243 | |
---|
| 2244 | /*************************************************************** |
---|
| 2245 | * |
---|
| 2246 | * Routines which might be inlined by p_Numbers.h |
---|
| 2247 | * |
---|
| 2248 | *******************************************************************/ |
---|
| 2249 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 2250 | |
---|
| 2251 | // routines which are always inlined/static |
---|
| 2252 | |
---|
| 2253 | /*2 |
---|
| 2254 | * a = b ? |
---|
| 2255 | */ |
---|
[2b957a] | 2256 | LINLINE BOOLEAN nlEqual (number a, number b, const coeffs r) |
---|
[35aab3] | 2257 | { |
---|
[2b957a] | 2258 | nlTest(a, r); |
---|
| 2259 | nlTest(b, r); |
---|
[35aab3] | 2260 | // short - short |
---|
| 2261 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 2262 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 2263 | } |
---|
| 2264 | |
---|
[2f3764] | 2265 | LINLINE number nlInit (long i, const coeffs r) |
---|
[35aab3] | 2266 | { |
---|
| 2267 | number n; |
---|
[246d15] | 2268 | LONG ii=(LONG)i; |
---|
| 2269 | if ( ((ii << 3) >> 3) == ii ) n=INT_TO_SR(ii); |
---|
| 2270 | else n=nlRInit(ii); |
---|
[2b957a] | 2271 | nlTest(n, r); |
---|
[35aab3] | 2272 | return n; |
---|
| 2273 | } |
---|
| 2274 | |
---|
| 2275 | /*2 |
---|
| 2276 | * a == 1 ? |
---|
| 2277 | */ |
---|
[2b957a] | 2278 | LINLINE BOOLEAN nlIsOne (number a, const coeffs r) |
---|
[35aab3] | 2279 | { |
---|
| 2280 | #ifdef LDEBUG |
---|
| 2281 | if (a==NULL) return FALSE; |
---|
[2b957a] | 2282 | nlTest(a, r); |
---|
[35aab3] | 2283 | #endif |
---|
[89ca47] | 2284 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 2285 | } |
---|
| 2286 | |
---|
[121fd9] | 2287 | LINLINE BOOLEAN nlIsZero (number a, const coeffs) |
---|
[35aab3] | 2288 | { |
---|
[cc3240c] | 2289 | #if 0 |
---|
| 2290 | if (a==INT_TO_SR(0)) return TRUE; |
---|
| 2291 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) return FALSE; |
---|
| 2292 | if (mpz_cmp_si(a->z,(long)0)==0) |
---|
| 2293 | { |
---|
| 2294 | printf("gmp-0 in nlIsZero\n"); |
---|
| 2295 | dErrorBreak(); |
---|
| 2296 | return TRUE; |
---|
| 2297 | } |
---|
| 2298 | return FALSE; |
---|
| 2299 | #else |
---|
[35aab3] | 2300 | return (a==INT_TO_SR(0)); |
---|
[cc3240c] | 2301 | #endif |
---|
[35aab3] | 2302 | } |
---|
| 2303 | |
---|
| 2304 | /*2 |
---|
| 2305 | * copy a to b |
---|
| 2306 | */ |
---|
[121fd9] | 2307 | LINLINE number nlCopy(number a, const coeffs) |
---|
[35aab3] | 2308 | { |
---|
| 2309 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2310 | { |
---|
| 2311 | return a; |
---|
| 2312 | } |
---|
[e69b7c] | 2313 | return _nlCopy_NoImm(a); |
---|
[35aab3] | 2314 | } |
---|
| 2315 | |
---|
| 2316 | |
---|
| 2317 | /*2 |
---|
| 2318 | * delete a |
---|
| 2319 | */ |
---|
[a642c64] | 2320 | LINLINE void nlDelete (number * a, const coeffs r) |
---|
[35aab3] | 2321 | { |
---|
| 2322 | if (*a!=NULL) |
---|
| 2323 | { |
---|
[2b957a] | 2324 | nlTest(*a, r); |
---|
[35aab3] | 2325 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2326 | { |
---|
[fee4c2] | 2327 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2328 | } |
---|
| 2329 | *a=NULL; |
---|
| 2330 | } |
---|
| 2331 | } |
---|
| 2332 | |
---|
| 2333 | /*2 |
---|
| 2334 | * za:= - za |
---|
| 2335 | */ |
---|
[e69b7c] | 2336 | LINLINE number nlNeg (number a, const coeffs R) |
---|
[35aab3] | 2337 | { |
---|
[e69b7c] | 2338 | nlTest(a, R); |
---|
[35aab3] | 2339 | if(SR_HDL(a) &SR_INT) |
---|
| 2340 | { |
---|
| 2341 | int r=SR_TO_INT(a); |
---|
[246d15] | 2342 | if (r==(-(POW_2_28))) a=nlRInit(POW_2_28); |
---|
[35aab3] | 2343 | else a=INT_TO_SR(-r); |
---|
| 2344 | return a; |
---|
| 2345 | } |
---|
[630ca9] | 2346 | a = _nlNeg_NoImm(a); |
---|
| 2347 | nlTest(a, R); |
---|
| 2348 | return a; |
---|
| 2349 | |
---|
[35aab3] | 2350 | } |
---|
| 2351 | |
---|
| 2352 | /*2 |
---|
| 2353 | * u:= a + b |
---|
| 2354 | */ |
---|
[e69b7c] | 2355 | LINLINE number nlAdd (number a, number b, const coeffs R) |
---|
[35aab3] | 2356 | { |
---|
| 2357 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2358 | { |
---|
[246d15] | 2359 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[35aab3] | 2360 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2361 | return (number)(long)r; |
---|
[35aab3] | 2362 | else |
---|
| 2363 | return nlRInit(SR_TO_INT(r)); |
---|
| 2364 | } |
---|
[630ca9] | 2365 | number u = _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2366 | nlTest(u, R); |
---|
| 2367 | return u; |
---|
[35aab3] | 2368 | } |
---|
| 2369 | |
---|
[18057e] | 2370 | number nlShort1(number a); |
---|
[246d15] | 2371 | number nlShort3_noinline(number x); |
---|
[e8a0aa] | 2372 | |
---|
[cc3240c] | 2373 | LINLINE void nlInpAdd(number &a, number b, const coeffs r) |
---|
[e8a0aa] | 2374 | { |
---|
[65c5f5] | 2375 | // a=a+b |
---|
[e8a0aa] | 2376 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2377 | { |
---|
[246d15] | 2378 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[e8a0aa] | 2379 | if ( ((r << 1) >> 1) == r ) |
---|
[cc3240c] | 2380 | a=(number)(long)r; |
---|
[e8a0aa] | 2381 | else |
---|
[cc3240c] | 2382 | a=nlRInit(SR_TO_INT(r)); |
---|
[e8a0aa] | 2383 | } |
---|
| 2384 | else |
---|
| 2385 | { |
---|
[65c5f5] | 2386 | _nlInpAdd_aNoImm_OR_bNoImm(a,b); |
---|
| 2387 | nlTest(a,r); |
---|
[e8a0aa] | 2388 | } |
---|
| 2389 | } |
---|
| 2390 | |
---|
[7dc3e1c] | 2391 | LINLINE number nlMult (number a, number b, const coeffs R) |
---|
[35aab3] | 2392 | { |
---|
[2b957a] | 2393 | nlTest(a, R); |
---|
| 2394 | nlTest(b, R); |
---|
[35aab3] | 2395 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2396 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2397 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2398 | { |
---|
[246d15] | 2399 | LONG r=(SR_HDL(a)-1L)*(SR_HDL(b)>>1); |
---|
| 2400 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1L)) |
---|
[35aab3] | 2401 | { |
---|
| 2402 | number u=((number) ((r>>1)+SR_INT)); |
---|
[246d15] | 2403 | if (((((LONG)SR_HDL(u))<<1)>>1)==SR_HDL(u)) return (u); |
---|
[35aab3] | 2404 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2405 | } |
---|
[630ca9] | 2406 | number u = _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2407 | nlTest(u, R); |
---|
| 2408 | return u; |
---|
[9bb5457] | 2409 | |
---|
[35aab3] | 2410 | } |
---|
[630ca9] | 2411 | number u = _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2412 | nlTest(u, R); |
---|
| 2413 | return u; |
---|
[9bb5457] | 2414 | |
---|
[35aab3] | 2415 | } |
---|
| 2416 | |
---|
| 2417 | |
---|
| 2418 | /*2 |
---|
| 2419 | * u:= a - b |
---|
| 2420 | */ |
---|
[a642c64] | 2421 | LINLINE number nlSub (number a, number b, const coeffs r) |
---|
[35aab3] | 2422 | { |
---|
| 2423 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2424 | { |
---|
[246d15] | 2425 | LONG r=SR_HDL(a)-SR_HDL(b)+1; |
---|
[35aab3] | 2426 | if ( ((r << 1) >> 1) == r ) |
---|
| 2427 | { |
---|
[246d15] | 2428 | return (number)(long)r; |
---|
[35aab3] | 2429 | } |
---|
| 2430 | else |
---|
| 2431 | return nlRInit(SR_TO_INT(r)); |
---|
| 2432 | } |
---|
[630ca9] | 2433 | number u = _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2434 | nlTest(u, r); |
---|
| 2435 | return u; |
---|
[9bb5457] | 2436 | |
---|
[35aab3] | 2437 | } |
---|
| 2438 | |
---|
[a642c64] | 2439 | LINLINE void nlInpMult(number &a, number b, const coeffs r) |
---|
[4e35a89] | 2440 | { |
---|
[896561] | 2441 | number aa=a; |
---|
| 2442 | if (((SR_HDL(b)|SR_HDL(aa))&SR_INT)) |
---|
[4e35a89] | 2443 | { |
---|
[a642c64] | 2444 | number n=nlMult(aa,b,r); |
---|
[4e35a89] | 2445 | nlDelete(&a,r); |
---|
| 2446 | a=n; |
---|
| 2447 | } |
---|
| 2448 | else |
---|
| 2449 | { |
---|
[896561] | 2450 | mpz_mul(aa->z,a->z,b->z); |
---|
| 2451 | if (aa->s==3) |
---|
[4e35a89] | 2452 | { |
---|
| 2453 | if(b->s!=3) |
---|
| 2454 | { |
---|
| 2455 | mpz_init_set(a->n,b->n); |
---|
| 2456 | a->s=0; |
---|
| 2457 | } |
---|
| 2458 | } |
---|
| 2459 | else |
---|
| 2460 | { |
---|
| 2461 | if(b->s!=3) |
---|
| 2462 | { |
---|
| 2463 | mpz_mul(a->n,a->n,b->n); |
---|
| 2464 | } |
---|
| 2465 | a->s=0; |
---|
| 2466 | } |
---|
| 2467 | } |
---|
| 2468 | } |
---|
[35aab3] | 2469 | #endif // DO_LINLINE |
---|
| 2470 | |
---|
| 2471 | #ifndef P_NUMBERS_H |
---|
| 2472 | |
---|
[d663f2] | 2473 | static void nlMPZ(mpz_t m, number &n, const coeffs r) |
---|
| 2474 | { |
---|
| 2475 | assume( getCoeffType(r) == ID ); |
---|
[e11ed0] | 2476 | |
---|
[d663f2] | 2477 | nlTest(n, r); |
---|
| 2478 | nlNormalize(n, r); |
---|
| 2479 | if (SR_HDL(n) & SR_INT) mpz_init_set_si(m, SR_TO_INT(n)); /* n fits in an int */ |
---|
| 2480 | else mpz_init_set(m, (mpz_ptr)n->z); |
---|
| 2481 | } |
---|
| 2482 | |
---|
| 2483 | |
---|
[2d2e40] | 2484 | static number nlInitMPZ(mpz_t m, const coeffs) |
---|
[d663f2] | 2485 | { |
---|
| 2486 | number z = ALLOC_RNUMBER(); |
---|
| 2487 | mpz_init_set(z->z, m); |
---|
| 2488 | mpz_init_set_ui(z->n, 1); |
---|
| 2489 | z->s = 3; |
---|
[e11ed0] | 2490 | return z; |
---|
[d663f2] | 2491 | } |
---|
| 2492 | |
---|
| 2493 | |
---|
[a642c64] | 2494 | void nlInpGcd(number &a, number b, const coeffs r) |
---|
[35aab3] | 2495 | { |
---|
| 2496 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2497 | { |
---|
| 2498 | number n=nlGcd(a,b,r); |
---|
| 2499 | nlDelete(&a,r); |
---|
| 2500 | a=n; |
---|
| 2501 | } |
---|
| 2502 | else |
---|
| 2503 | { |
---|
[a604c3] | 2504 | mpz_gcd(a->z,a->z,b->z); |
---|
[246d15] | 2505 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2506 | } |
---|
| 2507 | } |
---|
[f59722] | 2508 | |
---|
[a642c64] | 2509 | void nlInpIntDiv(number &a, number b, const coeffs r) |
---|
[35aab3] | 2510 | { |
---|
| 2511 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2512 | { |
---|
[2b957a] | 2513 | number n=nlIntDiv(a,b, r); |
---|
[35aab3] | 2514 | nlDelete(&a,r); |
---|
| 2515 | a=n; |
---|
| 2516 | } |
---|
| 2517 | else |
---|
| 2518 | { |
---|
[a604c3] | 2519 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2520 | { |
---|
[a604c3] | 2521 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2522 | { |
---|
[a604c3] | 2523 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2524 | } |
---|
| 2525 | else |
---|
| 2526 | { |
---|
[a604c3] | 2527 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2528 | } |
---|
[a604c3] | 2529 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2530 | } |
---|
| 2531 | else |
---|
| 2532 | { |
---|
[a604c3] | 2533 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2534 | { |
---|
[a604c3] | 2535 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2536 | } |
---|
| 2537 | else |
---|
| 2538 | { |
---|
[a604c3] | 2539 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2540 | } |
---|
[a604c3] | 2541 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2542 | } |
---|
[a604c3] | 2543 | MPZ_DIV(a->z,a->z,b->z); |
---|
[246d15] | 2544 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2545 | } |
---|
| 2546 | } |
---|
| 2547 | |
---|
[a642c64] | 2548 | number nlFarey(number nN, number nP, const coeffs r) |
---|
[3149a5] | 2549 | { |
---|
[a604c3] | 2550 | mpz_t tmp; mpz_init(tmp); |
---|
| 2551 | mpz_t A,B,C,D,E,N,P; |
---|
| 2552 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2553 | else mpz_init_set(N,nN->z); |
---|
| 2554 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2555 | else mpz_init_set(P,nP->z); |
---|
| 2556 | assume(!mpz_isNeg(P)); |
---|
| 2557 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2558 | mpz_init_set_si(A,(long)0); |
---|
| 2559 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2560 | mpz_init_set_si(C,(long)0); |
---|
| 2561 | mpz_init(D); |
---|
| 2562 | mpz_init_set(E,P); |
---|
[3149a5] | 2563 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2564 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2565 | { |
---|
[a604c3] | 2566 | mpz_mul(tmp,N,N); |
---|
| 2567 | mpz_add(tmp,tmp,tmp); |
---|
| 2568 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2569 | { |
---|
| 2570 | // return N/B |
---|
[896561] | 2571 | z=ALLOC_RNUMBER(); |
---|
[64cce0] | 2572 | #ifdef LDEBUG |
---|
| 2573 | z->debug=123456; |
---|
| 2574 | #endif |
---|
[a604c3] | 2575 | if (mpz_isNeg(B)) |
---|
[26300d] | 2576 | { |
---|
[a604c3] | 2577 | mpz_neg(B,B); |
---|
| 2578 | mpz_neg(N,N); |
---|
[26300d] | 2579 | } |
---|
[a604c3] | 2580 | mpz_init_set(z->z,N); |
---|
| 2581 | mpz_init_set(z->n,B); |
---|
[3149a5] | 2582 | z->s = 0; |
---|
[a642c64] | 2583 | nlNormalize(z,r); |
---|
[3149a5] | 2584 | break; |
---|
| 2585 | } |
---|
[7453b4] | 2586 | //mpz_mod(D,E,N); |
---|
| 2587 | //mpz_div(tmp,E,N); |
---|
| 2588 | mpz_divmod(tmp,D,E,N); |
---|
[a604c3] | 2589 | mpz_mul(tmp,tmp,B); |
---|
| 2590 | mpz_sub(C,A,tmp); |
---|
| 2591 | mpz_set(E,N); |
---|
| 2592 | mpz_set(N,D); |
---|
| 2593 | mpz_set(A,B); |
---|
| 2594 | mpz_set(B,C); |
---|
| 2595 | } |
---|
| 2596 | mpz_clear(tmp); |
---|
| 2597 | mpz_clear(A); |
---|
| 2598 | mpz_clear(B); |
---|
| 2599 | mpz_clear(C); |
---|
| 2600 | mpz_clear(D); |
---|
| 2601 | mpz_clear(E); |
---|
| 2602 | mpz_clear(N); |
---|
| 2603 | mpz_clear(P); |
---|
[3149a5] | 2604 | return z; |
---|
| 2605 | } |
---|
[bbf7a8] | 2606 | |
---|
[03f7b5] | 2607 | void nlCoeffWrite (const coeffs, BOOLEAN /*details*/) |
---|
[8167af] | 2608 | { |
---|
| 2609 | PrintS("// characteristic : 0\n"); |
---|
| 2610 | } |
---|
| 2611 | |
---|
[e8c8d5] | 2612 | number nlChineseRemainder(number *x, number *q,int rl, const coeffs C) |
---|
| 2613 | // elemenst in the array are x[0..(rl-1)], q[0..(rl-1)] |
---|
| 2614 | { |
---|
| 2615 | #ifdef HAVE_FACTORY |
---|
| 2616 | setCharacteristic( 0 ); // only in char 0 |
---|
| 2617 | CFArray X(rl), Q(rl); |
---|
| 2618 | int i; |
---|
| 2619 | for(i=rl-1;i>=0;i--) |
---|
| 2620 | { |
---|
| 2621 | X[i]=C->convSingNFactoryN(x[i],FALSE,C); // may be larger MAX_INT |
---|
| 2622 | Q[i]=C->convSingNFactoryN(q[i],FALSE,C); // may be larger MAX_INT |
---|
| 2623 | } |
---|
| 2624 | CanonicalForm xnew,qnew; |
---|
| 2625 | chineseRemainder(X,Q,xnew,qnew); |
---|
| 2626 | number n=C->convFactoryNSingN(xnew,C); |
---|
| 2627 | number p=C->convFactoryNSingN(qnew,C); |
---|
| 2628 | number p2=nlIntDiv(p,nlInit(2, C),C); |
---|
| 2629 | if (nlGreater(n,p2,C)) |
---|
| 2630 | { |
---|
| 2631 | number n2=nlSub(n,p,C); |
---|
| 2632 | nlDelete(&n,C); |
---|
| 2633 | n=n2; |
---|
| 2634 | } |
---|
| 2635 | nlDelete(&p,C); |
---|
| 2636 | nlDelete(&p2,C); |
---|
| 2637 | return n; |
---|
| 2638 | #else |
---|
| 2639 | WerrorS("not implemented"); |
---|
[fea2af] | 2640 | return nlInit(0, C); |
---|
[e8c8d5] | 2641 | #endif |
---|
| 2642 | } |
---|
| 2643 | |
---|
[4f9652] | 2644 | static void nlClearContent(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2645 | { |
---|
| 2646 | assume(cf != NULL); |
---|
| 2647 | assume(getCoeffType(cf) == ID); |
---|
| 2648 | // all coeffs are given by integers!!! |
---|
| 2649 | |
---|
[4f9652] | 2650 | // part 1, find a small candidate for gcd |
---|
| 2651 | number cand1,cand; |
---|
| 2652 | int s1,s; |
---|
| 2653 | s=2147483647; // max. int |
---|
| 2654 | numberCollectionEnumerator.Reset(); |
---|
| 2655 | do |
---|
| 2656 | { |
---|
| 2657 | cand1= numberCollectionEnumerator.Current(); |
---|
| 2658 | if (SR_HDL(cand1)&SR_INT) { cand=cand1;break;} |
---|
| 2659 | s1=mpz_size1(cand1->z); |
---|
| 2660 | if (s>s1) |
---|
| 2661 | { |
---|
| 2662 | cand=cand1; |
---|
| 2663 | s=s1; |
---|
| 2664 | } |
---|
[e11ed0] | 2665 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2666 | |
---|
[d1d27f1] | 2667 | cand=nlCopy(cand,cf); |
---|
[4f9652] | 2668 | // part 2: compute gcd(cand,all coeffs) |
---|
| 2669 | numberCollectionEnumerator.Reset(); |
---|
| 2670 | do |
---|
| 2671 | { |
---|
| 2672 | nlNormalize(numberCollectionEnumerator.Current(),cf); |
---|
| 2673 | cand1= nlGcd(cand,numberCollectionEnumerator.Current(),cf); |
---|
| 2674 | nlDelete(&cand,cf); |
---|
| 2675 | cand=cand1; |
---|
| 2676 | if(nlIsOne(cand,cf)) { c=cand; return; } |
---|
[e11ed0] | 2677 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2678 | |
---|
[4f9652] | 2679 | // part3: all coeffs = all coeffs / cand |
---|
| 2680 | c=cand; |
---|
| 2681 | numberCollectionEnumerator.Reset(); |
---|
| 2682 | do |
---|
| 2683 | { |
---|
| 2684 | number t=nlIntDiv(numberCollectionEnumerator.Current(),cand,cf); |
---|
| 2685 | nlDelete(&numberCollectionEnumerator.Current(),cf); |
---|
| 2686 | numberCollectionEnumerator.Current()=t; |
---|
[e11ed0] | 2687 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2688 | |
---|
[de88371] | 2689 | } |
---|
| 2690 | |
---|
[d1d27f1] | 2691 | static void nlClearDenominators(ICoeffsEnumerator& numberCollectionEnumerator, number& c, const coeffs cf) |
---|
[de88371] | 2692 | { |
---|
| 2693 | assume(cf != NULL); |
---|
| 2694 | assume(getCoeffType(cf) == ID); |
---|
[d1d27f1] | 2695 | // all coeffs are given by integers after returning from this routine |
---|
| 2696 | |
---|
| 2697 | // part 1, collect product of all denominators /gcds |
---|
[e11ed0] | 2698 | number cand; |
---|
[d1d27f1] | 2699 | cand=ALLOC_RNUMBER(); |
---|
| 2700 | #if defined(LDEBUG) |
---|
| 2701 | cand->debug=123456; |
---|
| 2702 | #endif |
---|
| 2703 | cand->s=3; |
---|
| 2704 | |
---|
| 2705 | int s=0; |
---|
| 2706 | mpz_t tmp; |
---|
| 2707 | mpz_init(tmp); |
---|
| 2708 | numberCollectionEnumerator.Reset(); |
---|
| 2709 | do |
---|
| 2710 | { |
---|
[560a3d] | 2711 | number& cand1 = numberCollectionEnumerator.Current(); |
---|
[e11ed0] | 2712 | |
---|
[d1d27f1] | 2713 | if (!(SR_HDL(cand1)&SR_INT)) |
---|
| 2714 | { |
---|
[e11ed0] | 2715 | nlNormalize(cand1, cf); |
---|
[d1d27f1] | 2716 | if ((!(SR_HDL(cand1)&SR_INT)) // not a short int |
---|
| 2717 | && (cand1->s==1)) // and is rational |
---|
| 2718 | { |
---|
| 2719 | if (s==0) // first denom, we meet |
---|
| 2720 | { |
---|
[e11ed0] | 2721 | mpz_init_set(cand->z,cand1->n); |
---|
| 2722 | s=1; |
---|
[d1d27f1] | 2723 | } |
---|
| 2724 | else // we have already something |
---|
| 2725 | { |
---|
| 2726 | mpz_gcd(tmp,cand->z,cand1->n); |
---|
| 2727 | if (mpz_cmp_si(tmp,1)!=0) |
---|
| 2728 | { |
---|
[b317e9] | 2729 | mpz_divexact(cand->z,cand->z,tmp); |
---|
[d1d27f1] | 2730 | } |
---|
| 2731 | mpz_mul(cand->z,cand->z,cand1->n); |
---|
| 2732 | } |
---|
| 2733 | } |
---|
| 2734 | } |
---|
[e11ed0] | 2735 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
[de88371] | 2736 | |
---|
[d1d27f1] | 2737 | if (s==0) // nothing to do, all coeffs are already integers |
---|
| 2738 | { |
---|
| 2739 | mpz_clear(tmp); |
---|
[e11ed0] | 2740 | FREE_RNUMBER(cand); |
---|
| 2741 | c=nlInit(1,cf); |
---|
[d1d27f1] | 2742 | return; |
---|
| 2743 | } |
---|
| 2744 | cand=nlShort3(cand); |
---|
[e11ed0] | 2745 | |
---|
[d1d27f1] | 2746 | // part2: all coeffs = all coeffs * cand |
---|
[e11ed0] | 2747 | // make the lead coeff positive |
---|
[d1d27f1] | 2748 | numberCollectionEnumerator.Reset(); |
---|
[e11ed0] | 2749 | if (!nlGreaterZero(numberCollectionEnumerator.Current(),cf)) |
---|
| 2750 | { |
---|
| 2751 | cand=nlNeg(cand,cf); |
---|
| 2752 | } |
---|
| 2753 | c = cand; |
---|
[d1d27f1] | 2754 | do |
---|
| 2755 | { |
---|
[560a3d] | 2756 | number &n = numberCollectionEnumerator.Current(); |
---|
| 2757 | n_InpMult(n, cand, cf); |
---|
[e11ed0] | 2758 | } while (numberCollectionEnumerator.MoveNext() ); |
---|
| 2759 | |
---|
[de88371] | 2760 | } |
---|
| 2761 | |
---|
[9bb5457] | 2762 | BOOLEAN nlInitChar(coeffs r, void*) |
---|
[e3c02d2] | 2763 | { |
---|
[73a9ffb] | 2764 | assume( getCoeffType(r) == ID ); |
---|
| 2765 | //const int ch = (int)(long)(p); |
---|
[9bb5457] | 2766 | |
---|
[e3c02d2] | 2767 | r->cfKillChar=NULL; |
---|
[121fd9] | 2768 | r->nCoeffIsEqual=ndCoeffIsEqual; |
---|
[577888] | 2769 | r->cfKillChar = ndKillChar; /* dummy */ |
---|
[e3c02d2] | 2770 | |
---|
[d663f2] | 2771 | r->cfInitMPZ = nlInitMPZ; |
---|
| 2772 | r->cfMPZ = nlMPZ; |
---|
[e11ed0] | 2773 | |
---|
[7bbbef] | 2774 | r->cfMult = nlMult; |
---|
| 2775 | r->cfSub = nlSub; |
---|
| 2776 | r->cfAdd = nlAdd; |
---|
| 2777 | r->cfDiv = nlDiv; |
---|
| 2778 | r->cfIntDiv= nlIntDiv; |
---|
| 2779 | r->cfIntMod= nlIntMod; |
---|
| 2780 | r->cfExactDiv= nlExactDiv; |
---|
[bbf7a8] | 2781 | r->cfInit = nlInit; |
---|
[7bbbef] | 2782 | r->cfSize = nlSize; |
---|
| 2783 | r->cfInt = nlInt; |
---|
[e11ed0] | 2784 | |
---|
[e8c8d5] | 2785 | r->cfChineseRemainder=nlChineseRemainder; |
---|
| 2786 | r->cfFarey=nlFarey; |
---|
[bbf7a8] | 2787 | #ifdef HAVE_RINGS |
---|
[7bbbef] | 2788 | //r->cfDivComp = NULL; // only for ring stuff |
---|
| 2789 | //r->cfIsUnit = NULL; // only for ring stuff |
---|
| 2790 | //r->cfGetUnit = NULL; // only for ring stuff |
---|
| 2791 | //r->cfExtGcd = NULL; // only for ring stuff |
---|
| 2792 | //r->cfDivBy = NULL; // only for ring stuff |
---|
[bbf7a8] | 2793 | #endif |
---|
[7bbbef] | 2794 | r->cfNeg = nlNeg; |
---|
| 2795 | r->cfInvers= nlInvers; |
---|
[2b957a] | 2796 | r->cfCopy = nlCopy; |
---|
| 2797 | r->cfRePart = nlCopy; |
---|
[7bbbef] | 2798 | //r->cfImPart = ndReturn0; |
---|
[ce1f78] | 2799 | r->cfWriteLong = nlWrite; |
---|
[7bbbef] | 2800 | r->cfRead = nlRead; |
---|
| 2801 | r->cfNormalize=nlNormalize; |
---|
| 2802 | r->cfGreater = nlGreater; |
---|
| 2803 | r->cfEqual = nlEqual; |
---|
| 2804 | r->cfIsZero = nlIsZero; |
---|
| 2805 | r->cfIsOne = nlIsOne; |
---|
| 2806 | r->cfIsMOne = nlIsMOne; |
---|
| 2807 | r->cfGreaterZero = nlGreaterZero; |
---|
| 2808 | r->cfPower = nlPower; |
---|
[bbf7a8] | 2809 | r->cfGetDenom = nlGetDenom; |
---|
| 2810 | r->cfGetNumerator = nlGetNumerator; |
---|
[7bbbef] | 2811 | r->cfGcd = nlGcd; |
---|
| 2812 | r->cfLcm = nlLcm; |
---|
[bbf7a8] | 2813 | r->cfDelete= nlDelete; |
---|
[e3c02d2] | 2814 | r->cfSetMap = nlSetMap; |
---|
[7bbbef] | 2815 | //r->cfName = ndName; |
---|
| 2816 | r->cfInpMult=nlInpMult; |
---|
| 2817 | r->cfInit_bigint=nlCopyMap; |
---|
[8167af] | 2818 | r->cfCoeffWrite=nlCoeffWrite; |
---|
[de88371] | 2819 | |
---|
| 2820 | r->cfClearContent = nlClearContent; |
---|
| 2821 | r->cfClearDenominators = nlClearDenominators; |
---|
[e11ed0] | 2822 | |
---|
[e3c02d2] | 2823 | #ifdef LDEBUG |
---|
[bbf7a8] | 2824 | // debug stuff |
---|
[7bbbef] | 2825 | r->cfDBTest=nlDBTest; |
---|
[e3c02d2] | 2826 | #endif |
---|
[e5d267] | 2827 | #ifdef HAVE_FACTORY |
---|
| 2828 | r->convSingNFactoryN=nlConvSingNFactoryN; |
---|
| 2829 | r->convFactoryNSingN=nlConvFactoryNSingN; |
---|
| 2830 | #endif |
---|
[039016] | 2831 | |
---|
[8835e2b] | 2832 | // the variables: general stuff (required) |
---|
[bbf7a8] | 2833 | r->nNULL = INT_TO_SR(0); |
---|
[aff5ae] | 2834 | //r->type = n_Q; |
---|
[bbf7a8] | 2835 | r->ch = 0; |
---|
| 2836 | r->has_simple_Alloc=FALSE; |
---|
| 2837 | r->has_simple_Inverse=FALSE; |
---|
[9bb5457] | 2838 | |
---|
[8835e2b] | 2839 | // variables for this type of coeffs: |
---|
| 2840 | // (none) |
---|
[5d594a9] | 2841 | return FALSE; |
---|
[e3c02d2] | 2842 | } |
---|
[35aab3] | 2843 | #if 0 |
---|
| 2844 | number nlMod(number a, number b) |
---|
| 2845 | { |
---|
| 2846 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2847 | { |
---|
| 2848 | int bi=SR_TO_INT(b); |
---|
| 2849 | int ai=SR_TO_INT(a); |
---|
| 2850 | int bb=ABS(bi); |
---|
| 2851 | int c=ai%bb; |
---|
| 2852 | if (c<0) c+=bb; |
---|
| 2853 | return (INT_TO_SR(c)); |
---|
| 2854 | } |
---|
| 2855 | number al; |
---|
| 2856 | number bl; |
---|
| 2857 | if (SR_HDL(a))&SR_INT) |
---|
| 2858 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2859 | else |
---|
| 2860 | al=nlCopy(a); |
---|
| 2861 | if (SR_HDL(b))&SR_INT) |
---|
| 2862 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2863 | else |
---|
| 2864 | bl=nlCopy(b); |
---|
| 2865 | number r=nlRInit(0); |
---|
| 2866 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2867 | nlDelete(&al); |
---|
| 2868 | nlDelete(&bl); |
---|
| 2869 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2870 | { |
---|
[246d15] | 2871 | LONG ui=(int)mpz_get_si(&r->z); |
---|
[35aab3] | 2872 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2873 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2874 | { |
---|
| 2875 | mpz_clear(&r->z); |
---|
[d663f2] | 2876 | FREE_RNUMBER(r); // omFreeBin((void *)r, rnumber_bin); |
---|
[35aab3] | 2877 | r=INT_TO_SR(ui); |
---|
| 2878 | } |
---|
| 2879 | } |
---|
| 2880 | return r; |
---|
| 2881 | } |
---|
| 2882 | #endif |
---|
| 2883 | #endif // not P_NUMBERS_H |
---|
| 2884 | #endif // LONGRAT_CC |
---|