[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[341696] | 4 | /* $Id$ */ |
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[35aab3] | 5 | /* |
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| 6 | * ABSTRACT: computation with long rational numbers (Hubert Grassmann) |
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| 7 | */ |
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| 8 | |
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[246d15] | 9 | #include <kernel/mod2.h> |
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| 10 | #include <kernel/structs.h> |
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| 11 | #include <kernel/longrat.h> |
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| 12 | |
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| 13 | // 64 bit version: |
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| 14 | #if 0 |
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| 15 | #define MAX_NUM_SIZE 60 |
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| 16 | #define POW_2_28 0x10000000000000L |
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| 17 | #define LONG long |
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| 18 | #else |
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| 19 | #define MAX_NUM_SIZE 28 |
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| 20 | #define POW_2_28 (1L<<28) |
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| 21 | #define LONG int |
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| 22 | #endif |
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| 23 | |
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| 24 | static inline number nlShort3(number x) // assume x->s==3 |
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| 25 | { |
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| 26 | assume(x->s==3); |
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| 27 | if ((mpz_cmp_ui(x->z,(long)0)==0) |
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| 28 | || (mpz_size1(x->z)<=MP_SMALL)) |
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| 29 | { |
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| 30 | LONG ui=mpz_get_si(x->z); |
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| 31 | if ((((ui<<3)>>3)==ui) |
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| 32 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
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| 33 | { |
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| 34 | mpz_clear(x->z); |
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| 35 | omFreeBin((ADDRESS)x, rnumber_bin); |
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| 36 | return INT_TO_SR(ui); |
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| 37 | } |
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| 38 | } |
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| 39 | return x; |
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| 40 | } |
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| 41 | |
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[35aab3] | 42 | #ifndef LONGRAT_CC |
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| 43 | #define LONGRAT_CC |
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| 44 | |
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| 45 | #include <string.h> |
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| 46 | #include <float.h> |
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[b1dfaf] | 47 | #include <omalloc/omalloc.h> |
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[599326] | 48 | #include <kernel/febase.h> |
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| 49 | #include <kernel/numbers.h> |
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| 50 | #include <kernel/modulop.h> |
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| 51 | #include <kernel/ring.h> |
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| 52 | #include <kernel/shortfl.h> |
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| 53 | #include <kernel/mpr_complex.h> |
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[35aab3] | 54 | |
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| 55 | |
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| 56 | #ifndef BYTES_PER_MP_LIMB |
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| 57 | #define BYTES_PER_MP_LIMB sizeof(mp_limb_t) |
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| 58 | #endif |
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| 59 | |
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| 60 | /*-----------------------------------------------------------------*/ |
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| 61 | /*3 |
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| 62 | * parameter s in number: |
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| 63 | * 0 (or FALSE): not normalised rational |
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| 64 | * 1 (or TRUE): normalised rational |
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| 65 | * 3 : integer with n==NULL |
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| 66 | */ |
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| 67 | /*3 |
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| 68 | ** 'SR_INT' is the type of those integers small enough to fit into 29 bits. |
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| 69 | ** Therefor the value range of this small integers is: $-2^{28}...2^{28}-1$. |
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| 70 | ** |
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| 71 | ** Small integers are represented by an immediate integer handle, containing |
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| 72 | ** the value instead of pointing to it, which has the following form: |
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| 73 | ** |
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| 74 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 75 | ** | guard | sign | bit | bit | | bit | tag | tag | |
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| 76 | ** | bit | bit | 27 | 26 | | 0 | 0 | 1 | |
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| 77 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 78 | ** |
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| 79 | ** Immediate integers handles carry the tag 'SR_INT', i.e. the last bit is 1. |
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| 80 | ** This distuingishes immediate integers from other handles which point to |
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| 81 | ** structures aligned on 4 byte boundaries and therefor have last bit zero. |
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| 82 | ** (The second bit is reserved as tag to allow extensions of this scheme.) |
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| 83 | ** Using immediates as pointers and dereferencing them gives address errors. |
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| 84 | ** |
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| 85 | ** To aid overflow check the most significant two bits must always be equal, |
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| 86 | ** that is to say that the sign bit of immediate integers has a guard bit. |
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| 87 | ** |
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| 88 | ** The macros 'INT_TO_SR' and 'SR_TO_INT' should be used to convert between |
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| 89 | ** a small integer value and its representation as immediate integer handle. |
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| 90 | ** |
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| 91 | ** Large integers and rationals are represented by z and n |
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| 92 | ** where n may be undefined (if s==3) |
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| 93 | ** NULL represents only deleted values |
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| 94 | */ |
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| 95 | #define SR_HDL(A) ((long)(A)) |
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[46f6af6] | 96 | /*#define SR_INT 1L*/ |
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[35aab3] | 97 | /*#define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT))*/ |
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| 98 | // #define SR_TO_INT(SR) (((long)SR) >> 2) |
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| 99 | |
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| 100 | #define MP_SMALL 1 |
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| 101 | //#define mpz_isNeg(A) (mpz_cmp_si(A,(long)0)<0) |
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| 102 | #define mpz_isNeg(A) ((A)->_mp_size<0) |
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| 103 | #define mpz_limb_size(A) ((A)->_mp_size) |
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| 104 | #define mpz_limb_d(A) ((A)->_mp_d) |
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| 105 | #define MPZ_DIV(A,B,C) mpz_tdiv_q((A),(B),(C)) |
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| 106 | #define MPZ_EXACTDIV(A,B,C) mpz_divexact((A),(B),(C)) |
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| 107 | |
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[106406] | 108 | void _nlDelete_NoImm(number *a); |
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[35aab3] | 109 | |
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| 110 | /*************************************************************** |
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| 111 | * |
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| 112 | * Routines which are never inlined by p_Numbers.h |
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| 113 | * |
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| 114 | *******************************************************************/ |
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| 115 | #ifndef P_NUMBERS_H |
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| 116 | |
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[246d15] | 117 | number nlShort3_noinline(number x) // assume x->s==3 |
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| 118 | { |
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| 119 | return nlShort3(x); |
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| 120 | } |
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| 121 | |
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[35aab3] | 122 | omBin rnumber_bin = omGetSpecBin(sizeof(snumber)); |
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| 123 | |
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[eb059c5] | 124 | number nlOne=INT_TO_SR(1); |
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[35aab3] | 125 | |
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| 126 | #if (__GNU_MP_VERSION*10+__GNU_MP_VERSION_MINOR < 31) |
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| 127 | void mpz_mul_si (mpz_ptr r, mpz_srcptr s, long int si) |
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| 128 | { |
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| 129 | if (si>=0) |
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| 130 | mpz_mul_ui(r,s,si); |
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| 131 | else |
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| 132 | { |
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| 133 | mpz_mul_ui(r,s,-si); |
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| 134 | mpz_neg(r,r); |
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| 135 | } |
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| 136 | } |
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| 137 | #endif |
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| 138 | |
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[cf74cd6] | 139 | static ring nlMapRing; |
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[35aab3] | 140 | static number nlMapP(number from) |
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| 141 | { |
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| 142 | number to; |
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[8391d8] | 143 | to = nlInit(npInt(from,nlMapRing), currRing); |
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[35aab3] | 144 | return to; |
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| 145 | } |
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| 146 | |
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| 147 | static number nlMapLongR(number from); |
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| 148 | static number nlMapR(number from); |
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| 149 | |
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[894f5b1] | 150 | #ifdef HAVE_RINGS |
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| 151 | /*2 |
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| 152 | * convert from a GMP integer |
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| 153 | */ |
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| 154 | number nlMapGMP(number from) |
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| 155 | { |
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| 156 | number z=(number)omAllocBin(rnumber_bin); |
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| 157 | #if defined(LDEBUG) |
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| 158 | z->debug=123456; |
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| 159 | #endif |
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[a604c3] | 160 | mpz_init_set(z->z,(mpz_ptr) from); |
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[20704f] | 161 | //mpz_init_set_ui(&z->n,1); |
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[894f5b1] | 162 | z->s = 3; |
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[246d15] | 163 | z=nlShort3(z); |
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[894f5b1] | 164 | return z; |
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| 165 | } |
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| 166 | |
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| 167 | /*2 |
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| 168 | * convert from an machine long |
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| 169 | */ |
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| 170 | number nlMapMachineInt(number from) |
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| 171 | { |
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| 172 | number z=(number)omAllocBin(rnumber_bin); |
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| 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_ui(z->z,(unsigned long) from); |
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[894f5b1] | 177 | z->s = 3; |
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[246d15] | 178 | z=nlShort3(z); |
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[894f5b1] | 179 | return z; |
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| 180 | } |
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| 181 | #endif |
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| 182 | |
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[208e0c] | 183 | nMapFunc nlSetMap(const ring src, const ring dst) |
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[35aab3] | 184 | { |
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| 185 | if (rField_is_Q(src)) |
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| 186 | { |
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| 187 | return nlCopy; |
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| 188 | } |
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[cf74cd6] | 189 | nlMapRing=src; |
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[35aab3] | 190 | if (rField_is_Zp(src)) |
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| 191 | { |
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| 192 | return nlMapP; |
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| 193 | } |
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| 194 | if (rField_is_R(src)) |
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| 195 | { |
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| 196 | return nlMapR; |
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| 197 | } |
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| 198 | if (rField_is_long_R(src)) |
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| 199 | { |
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| 200 | return nlMapLongR; /* long R -> Q */ |
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| 201 | } |
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[894f5b1] | 202 | #ifdef HAVE_RINGS |
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| 203 | if (rField_is_Ring_Z(src) || rField_is_Ring_PtoM(src) || rField_is_Ring_ModN(src)) |
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| 204 | { |
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| 205 | return nlMapGMP; |
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| 206 | } |
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| 207 | if (rField_is_Ring_2toM(src)) |
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| 208 | { |
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| 209 | return nlMapMachineInt; |
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| 210 | } |
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| 211 | #endif |
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[35aab3] | 212 | return NULL; |
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| 213 | } |
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| 214 | |
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| 215 | #ifdef LDEBUG |
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[85e68dd] | 216 | BOOLEAN nlDBTest(number a, const char *f,const int l) |
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[35aab3] | 217 | { |
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| 218 | if (a==NULL) |
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| 219 | { |
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| 220 | Print("!!longrat: NULL in %s:%d\n",f,l); |
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| 221 | return FALSE; |
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| 222 | } |
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| 223 | //if ((int)a==1) Print("!! 0x1 as number ? %s %d\n",f,l); |
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[7447d8] | 224 | if ((((long)a)&3L)==3L) |
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[35aab3] | 225 | { |
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| 226 | Print(" !!longrat:ptr(3) in %s:%d\n",f,l); |
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| 227 | return FALSE; |
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| 228 | } |
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[7447d8] | 229 | if ((((long)a)&3L)==1L) |
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[35aab3] | 230 | { |
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[246d15] | 231 | if (((((LONG)(long)a)<<1)>>1)!=((LONG)(long)a)) |
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[35aab3] | 232 | { |
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[2132395] | 233 | Print(" !!longrat:arith:%lx in %s:%d\n",(long)a, f,l); |
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[35aab3] | 234 | return FALSE; |
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| 235 | } |
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| 236 | return TRUE; |
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| 237 | } |
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| 238 | omCheckIf(omCheckAddrSize(a,sizeof(*a)), return FALSE); |
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| 239 | if (a->debug!=123456) |
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| 240 | { |
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| 241 | Print("!!longrat:debug:%d in %s:%d\n",a->debug,f,l); |
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| 242 | a->debug=123456; |
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| 243 | return FALSE; |
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| 244 | } |
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| 245 | if ((a->s<0)||(a->s>4)) |
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| 246 | { |
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| 247 | Print("!!longrat:s=%d in %s:%d\n",a->s,f,l); |
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| 248 | return FALSE; |
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| 249 | } |
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[a604c3] | 250 | omCheckAddrSize(a->z[0]._mp_d,a->z[0]._mp_alloc*BYTES_PER_MP_LIMB); |
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| 251 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 252 | Print("!!longrat:z->alloc=0 in %s:%d\n",f,l); |
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[35aab3] | 253 | |
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| 254 | if (a->s<2) |
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| 255 | { |
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[a604c3] | 256 | omCheckIf(omCheckAddrSize(a->n[0]._mp_d,a->n[0]._mp_alloc*BYTES_PER_MP_LIMB), return FALSE); |
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| 257 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 258 | Print("!!longrat:n->alloc=0 in %s:%d\n",f,l); |
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[a604c3] | 259 | if ((mpz_size1(a->n) ==1) && (mpz_cmp_si(a->n,(long)1)==0)) |
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[35aab3] | 260 | { |
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| 261 | Print("!!longrat:integer as rational in %s:%d\n",f,l); |
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[8fd3bd5] | 262 | mpz_clear(a->n); a->s=3; |
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[35aab3] | 263 | return FALSE; |
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| 264 | } |
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[a604c3] | 265 | else if (mpz_isNeg(a->n)) |
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[35aab3] | 266 | { |
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| 267 | Print("!!longrat:div. by negative in %s:%d\n",f,l); |
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[a604c3] | 268 | mpz_neg(a->z,a->z); |
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| 269 | mpz_neg(a->n,a->n); |
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[35aab3] | 270 | return FALSE; |
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| 271 | } |
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| 272 | return TRUE; |
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| 273 | } |
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[9257fe] | 274 | //if (a->s==2) |
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| 275 | //{ |
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| 276 | // Print("!!longrat:s=2 in %s:%d\n",f,l); |
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| 277 | // return FALSE; |
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| 278 | //} |
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[a604c3] | 279 | if (mpz_size1(a->z)>MP_SMALL) return TRUE; |
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[246d15] | 280 | LONG ui=(int)mpz_get_si(a->z); |
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[35aab3] | 281 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 282 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
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[35aab3] | 283 | { |
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| 284 | Print("!!longrat:im int %d in %s:%d\n",ui,f,l); |
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| 285 | f=NULL; |
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| 286 | return FALSE; |
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| 287 | } |
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| 288 | return TRUE; |
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| 289 | } |
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| 290 | #endif |
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| 291 | |
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[246d15] | 292 | number nlRInit (long i); |
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[35aab3] | 293 | |
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| 294 | static number nlMapR(number from) |
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| 295 | { |
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| 296 | double f=nrFloat(from); |
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[eb059c5] | 297 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 298 | int f_sign=1; |
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| 299 | if (f<0.0) |
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| 300 | { |
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| 301 | f_sign=-1; |
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| 302 | f=-f; |
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| 303 | } |
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| 304 | int i=0; |
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| 305 | mpz_t h1; |
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| 306 | mpz_init_set_ui(h1,1); |
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| 307 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 308 | { |
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| 309 | f*=FLT_RADIX; |
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| 310 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 311 | i++; |
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| 312 | } |
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| 313 | number r=nlRInit(1); |
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[a604c3] | 314 | mpz_set_d(r->z,f); |
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[35aab3] | 315 | memcpy4(&(r->n),&h1,sizeof(h1)); |
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| 316 | r->s=0; /* not normalized */ |
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[3ec923] | 317 | if(f_sign==-1) r=nlNeg(r); |
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[35aab3] | 318 | nlNormalize(r); |
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| 319 | return r; |
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| 320 | } |
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| 321 | |
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| 322 | static number nlMapLongR(number from) |
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| 323 | { |
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| 324 | gmp_float *ff=(gmp_float*)from; |
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| 325 | mpf_t *f=ff->_mpfp(); |
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| 326 | number res; |
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[a604c3] | 327 | mpz_ptr dest,ndest; |
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[35aab3] | 328 | int size, i,negative; |
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| 329 | int e,al,bl; |
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| 330 | mp_ptr qp,dd,nn; |
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| 331 | |
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| 332 | size = (*f)[0]._mp_size; |
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| 333 | if (size == 0) |
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[eb059c5] | 334 | return INT_TO_SR(0); |
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[35aab3] | 335 | if(size<0) |
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| 336 | { |
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| 337 | negative = 1; |
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| 338 | size = -size; |
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| 339 | } |
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| 340 | else |
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| 341 | negative = 0; |
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| 342 | |
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| 343 | qp = (*f)[0]._mp_d; |
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| 344 | while(qp[0]==0) |
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| 345 | { |
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| 346 | qp++; |
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| 347 | size--; |
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| 348 | } |
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| 349 | |
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| 350 | e=(*f)[0]._mp_exp-size; |
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| 351 | res = (number)omAllocBin(rnumber_bin); |
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| 352 | #if defined(LDEBUG) |
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| 353 | res->debug=123456; |
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| 354 | #endif |
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[a604c3] | 355 | dest = res->z; |
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[35aab3] | 356 | |
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| 357 | if (e<0) |
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| 358 | { |
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| 359 | al = dest->_mp_size = size; |
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| 360 | if (al<2) al = 2; |
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| 361 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 362 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 363 | bl = 1-e; |
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| 364 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 365 | nn[bl-1] = 1; |
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| 366 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 367 | ndest = res->n; |
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[35aab3] | 368 | ndest->_mp_d = nn; |
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| 369 | ndest->_mp_alloc = ndest->_mp_size = bl; |
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| 370 | res->s = 0; |
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| 371 | } |
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| 372 | else |
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| 373 | { |
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| 374 | al = dest->_mp_size = size+e; |
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| 375 | if (al<2) al = 2; |
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| 376 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 377 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
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| 378 | for (i=0;i<e;i++) dd[i] = 0; |
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| 379 | res->s = 3; |
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| 380 | } |
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| 381 | |
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| 382 | dest->_mp_d = dd; |
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| 383 | dest->_mp_alloc = al; |
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| 384 | if (negative) dest->_mp_size = -dest->_mp_size; |
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| 385 | |
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| 386 | if (res->s==0) |
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| 387 | nlNormalize(res); |
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[246d15] | 388 | else |
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[35aab3] | 389 | { |
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| 390 | // res is new, res->ref is 1 |
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[246d15] | 391 | res=nlShort3(res); |
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[35aab3] | 392 | } |
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| 393 | nlTest(res); |
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| 394 | return res; |
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| 395 | } |
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| 396 | |
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| 397 | //static number nlMapLongR(number from) |
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| 398 | //{ |
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| 399 | // gmp_float *ff=(gmp_float*)from; |
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| 400 | // const mpf_t *f=ff->mpfp(); |
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| 401 | // int f_size=ABS((*f)[0]._mp_size); |
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| 402 | // if (f_size==0) |
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| 403 | // return nlInit(0); |
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| 404 | // int f_sign=1; |
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| 405 | // number work=ngcCopy(from); |
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| 406 | // if (!ngcGreaterZero(work)) |
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| 407 | // { |
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| 408 | // f_sign=-1; |
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| 409 | // work=ngcNeg(work); |
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| 410 | // } |
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| 411 | // int i=0; |
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| 412 | // mpz_t h1; |
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| 413 | // mpz_init_set_ui(h1,1); |
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| 414 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 415 | // { |
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| 416 | // f*=FLT_RADIX; |
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| 417 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 418 | // i++; |
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| 419 | // } |
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| 420 | // number r=nlRInit(1); |
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| 421 | // mpz_set_d(&(r->z),f); |
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| 422 | // memcpy4(&(r->n),&h1,sizeof(h1)); |
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| 423 | // r->s=0; /* not normalized */ |
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| 424 | // nlNormalize(r); |
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| 425 | // return r; |
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| 426 | // |
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| 427 | // |
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| 428 | // number r=nlRInit(1); |
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| 429 | // int f_shift=f_size+(*f)[0]._mp_exp; |
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| 430 | // if ( f_shift > 0) |
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| 431 | // { |
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| 432 | // r->s=0; |
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| 433 | // mpz_init(&r->n); |
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| 434 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
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| 435 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
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| 436 | // // now r->z has enough space |
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| 437 | // memcpy4(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
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| 438 | // nlNormalize(r); |
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| 439 | // } |
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| 440 | // else |
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| 441 | // { |
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| 442 | // r->s=3; |
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| 443 | // if (f_shift==0) |
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| 444 | // { |
---|
| 445 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 446 | // // now r->z has enough space |
---|
| 447 | // memcpy4(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
| 448 | // } |
---|
| 449 | // else /* f_shift < 0 */ |
---|
| 450 | // { |
---|
| 451 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 452 | // // now r->z has enough space |
---|
| 453 | // memcpy4(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
| 454 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 455 | // } |
---|
| 456 | // } |
---|
| 457 | // if ((*f)[0]._mp_size<0); |
---|
| 458 | // r=nlNeg(r); |
---|
| 459 | // return r; |
---|
| 460 | //} |
---|
| 461 | |
---|
| 462 | int nlSize(number a) |
---|
| 463 | { |
---|
| 464 | if (a==INT_TO_SR(0)) |
---|
| 465 | return 0; /* rational 0*/ |
---|
| 466 | if (SR_HDL(a) & SR_INT) |
---|
| 467 | return 1; /* immidiate int */ |
---|
[a604c3] | 468 | int s=a->z[0]._mp_alloc; |
---|
[790096] | 469 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 470 | //#if SIZEOF_LONG == 8 |
---|
| 471 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 472 | // else s *=2; |
---|
| 473 | //#endif |
---|
[790096] | 474 | // s++; |
---|
[35aab3] | 475 | if (a->s<2) |
---|
| 476 | { |
---|
[a604c3] | 477 | int d=a->n[0]._mp_alloc; |
---|
[790096] | 478 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 479 | //#if SIZEOF_LONG == 8 |
---|
| 480 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 481 | // else d *=2; |
---|
| 482 | //#endif |
---|
[1da0b5] | 483 | s+=d; |
---|
[35aab3] | 484 | } |
---|
| 485 | return s; |
---|
| 486 | } |
---|
| 487 | |
---|
| 488 | /*2 |
---|
| 489 | * convert number to int |
---|
| 490 | */ |
---|
[cf74cd6] | 491 | int nlInt(number &i, const ring r) |
---|
[35aab3] | 492 | { |
---|
| 493 | nlTest(i); |
---|
| 494 | nlNormalize(i); |
---|
| 495 | if (SR_HDL(i) &SR_INT) return SR_TO_INT(i); |
---|
| 496 | if (i->s==3) |
---|
| 497 | { |
---|
[a604c3] | 498 | if(mpz_size1(i->z)>MP_SMALL) return 0; |
---|
| 499 | int ul=(int)mpz_get_si(i->z); |
---|
| 500 | if (mpz_cmp_si(i->z,(long)ul)!=0) return 0; |
---|
[35aab3] | 501 | return ul; |
---|
| 502 | } |
---|
[a604c3] | 503 | mpz_t tmp; |
---|
[35aab3] | 504 | int ul; |
---|
[a604c3] | 505 | mpz_init(tmp); |
---|
| 506 | MPZ_DIV(tmp,i->z,i->n); |
---|
| 507 | if(mpz_size1(tmp)>MP_SMALL) ul=0; |
---|
[35aab3] | 508 | else |
---|
| 509 | { |
---|
[a604c3] | 510 | ul=(int)mpz_get_si(tmp); |
---|
| 511 | if (mpz_cmp_si(tmp,(long)ul)!=0) ul=0; |
---|
[35aab3] | 512 | } |
---|
[a604c3] | 513 | mpz_clear(tmp); |
---|
[35aab3] | 514 | return ul; |
---|
| 515 | } |
---|
| 516 | |
---|
[7f7573] | 517 | /*2 |
---|
| 518 | * convert number to bigint |
---|
| 519 | */ |
---|
| 520 | number nlBigInt(number &i) |
---|
| 521 | { |
---|
| 522 | nlTest(i); |
---|
| 523 | nlNormalize(i); |
---|
| 524 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 525 | if (i->s==3) |
---|
| 526 | { |
---|
| 527 | return nlCopy(i); |
---|
| 528 | } |
---|
| 529 | number tmp=nlRInit(1); |
---|
[a604c3] | 530 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[246d15] | 531 | tmp=nlShort3(tmp); |
---|
[7f7573] | 532 | return tmp; |
---|
| 533 | } |
---|
| 534 | |
---|
[35aab3] | 535 | /* |
---|
| 536 | * 1/a |
---|
| 537 | */ |
---|
| 538 | number nlInvers(number a) |
---|
| 539 | { |
---|
| 540 | nlTest(a); |
---|
| 541 | number n; |
---|
| 542 | if (SR_HDL(a) & SR_INT) |
---|
| 543 | { |
---|
[246d15] | 544 | if ((a==INT_TO_SR(1L)) || (a==INT_TO_SR(-1L))) |
---|
[35aab3] | 545 | { |
---|
| 546 | return a; |
---|
| 547 | } |
---|
| 548 | if (nlIsZero(a)) |
---|
| 549 | { |
---|
[b7e838] | 550 | WerrorS(nDivBy0); |
---|
[35aab3] | 551 | return INT_TO_SR(0); |
---|
| 552 | } |
---|
| 553 | n=(number)omAllocBin(rnumber_bin); |
---|
| 554 | #if defined(LDEBUG) |
---|
| 555 | n->debug=123456; |
---|
| 556 | #endif |
---|
| 557 | n->s=1; |
---|
[7447d8] | 558 | if ((long)a>0L) |
---|
[35aab3] | 559 | { |
---|
[a604c3] | 560 | mpz_init_set_si(n->z,(long)1); |
---|
| 561 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 562 | } |
---|
| 563 | else |
---|
| 564 | { |
---|
[a604c3] | 565 | mpz_init_set_si(n->z,(long)-1); |
---|
| 566 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 567 | } |
---|
| 568 | nlTest(n); |
---|
| 569 | return n; |
---|
| 570 | } |
---|
| 571 | n=(number)omAllocBin(rnumber_bin); |
---|
| 572 | #if defined(LDEBUG) |
---|
| 573 | n->debug=123456; |
---|
| 574 | #endif |
---|
| 575 | { |
---|
| 576 | n->s=a->s; |
---|
[a604c3] | 577 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 578 | switch (a->s) |
---|
| 579 | { |
---|
| 580 | case 0: |
---|
| 581 | case 1: |
---|
[a604c3] | 582 | mpz_init_set(n->z,a->n); |
---|
| 583 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 584 | { |
---|
[a604c3] | 585 | mpz_neg(n->z,n->z); |
---|
| 586 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 587 | } |
---|
[a604c3] | 588 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 589 | { |
---|
[a604c3] | 590 | mpz_clear(n->n); |
---|
[35aab3] | 591 | n->s=3; |
---|
[246d15] | 592 | n=nlShort3(n); |
---|
[35aab3] | 593 | } |
---|
| 594 | break; |
---|
| 595 | case 3: |
---|
| 596 | n->s=1; |
---|
[a604c3] | 597 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 598 | { |
---|
[a604c3] | 599 | mpz_neg(n->n,n->n); |
---|
| 600 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 601 | } |
---|
| 602 | else |
---|
| 603 | { |
---|
[a604c3] | 604 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 605 | } |
---|
| 606 | break; |
---|
| 607 | } |
---|
| 608 | } |
---|
| 609 | nlTest(n); |
---|
| 610 | return n; |
---|
| 611 | } |
---|
| 612 | |
---|
| 613 | |
---|
| 614 | /*2 |
---|
| 615 | * u := a / b in Z, if b | a (else undefined) |
---|
| 616 | */ |
---|
| 617 | number nlExactDiv(number a, number b) |
---|
| 618 | { |
---|
| 619 | if (b==INT_TO_SR(0)) |
---|
| 620 | { |
---|
[b7e838] | 621 | WerrorS(nDivBy0); |
---|
[35aab3] | 622 | return INT_TO_SR(0); |
---|
| 623 | } |
---|
| 624 | if (a==INT_TO_SR(0)) |
---|
| 625 | return INT_TO_SR(0); |
---|
| 626 | number u; |
---|
| 627 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 628 | { |
---|
| 629 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 630 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 631 | { |
---|
[246d15] | 632 | return nlRInit(POW_2_28); |
---|
[35aab3] | 633 | } |
---|
[246d15] | 634 | long aa=SR_TO_INT(a); |
---|
| 635 | long bb=SR_TO_INT(b); |
---|
[35aab3] | 636 | return INT_TO_SR(aa/bb); |
---|
| 637 | } |
---|
| 638 | number bb=NULL; |
---|
| 639 | if (SR_HDL(b) & SR_INT) |
---|
| 640 | { |
---|
| 641 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 642 | b=bb; |
---|
| 643 | } |
---|
| 644 | u=(number)omAllocBin(rnumber_bin); |
---|
| 645 | #if defined(LDEBUG) |
---|
| 646 | u->debug=123456; |
---|
| 647 | #endif |
---|
[a604c3] | 648 | mpz_init(u->z); |
---|
[35aab3] | 649 | /* u=a/b */ |
---|
| 650 | u->s = 3; |
---|
[a604c3] | 651 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 652 | if (bb!=NULL) |
---|
| 653 | { |
---|
[a604c3] | 654 | mpz_clear(bb->z); |
---|
[35aab3] | 655 | #if defined(LDEBUG) |
---|
| 656 | bb->debug=654324; |
---|
| 657 | #endif |
---|
| 658 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 659 | } |
---|
[246d15] | 660 | u=nlShort3(u); |
---|
[35aab3] | 661 | nlTest(u); |
---|
| 662 | return u; |
---|
| 663 | } |
---|
| 664 | |
---|
| 665 | /*2 |
---|
| 666 | * u := a / b in Z |
---|
| 667 | */ |
---|
| 668 | number nlIntDiv (number a, number b) |
---|
| 669 | { |
---|
| 670 | if (b==INT_TO_SR(0)) |
---|
| 671 | { |
---|
[b7e838] | 672 | WerrorS(nDivBy0); |
---|
[35aab3] | 673 | return INT_TO_SR(0); |
---|
| 674 | } |
---|
| 675 | if (a==INT_TO_SR(0)) |
---|
| 676 | return INT_TO_SR(0); |
---|
| 677 | number u; |
---|
| 678 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 679 | { |
---|
| 680 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
[246d15] | 681 | if ((a==INT_TO_SR(-(POW_2_28)))&&(b==INT_TO_SR(-1L))) |
---|
[35aab3] | 682 | { |
---|
[246d15] | 683 | return nlRInit(POW_2_28); |
---|
[35aab3] | 684 | } |
---|
[246d15] | 685 | long aa=SR_TO_INT(a); |
---|
| 686 | long bb=SR_TO_INT(b); |
---|
[bb9a5a] | 687 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 688 | } |
---|
| 689 | if (SR_HDL(a) & SR_INT) |
---|
| 690 | { |
---|
| 691 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
[246d15] | 692 | if (a==INT_TO_SR(-(POW_2_28))) |
---|
[35aab3] | 693 | { |
---|
[246d15] | 694 | if(mpz_cmp_si(b->z,(POW_2_28))==0) |
---|
[35aab3] | 695 | { |
---|
| 696 | return INT_TO_SR(-1); |
---|
| 697 | } |
---|
| 698 | } |
---|
| 699 | /* a is a small and b is a large int: -> 0 */ |
---|
| 700 | return INT_TO_SR(0); |
---|
| 701 | } |
---|
| 702 | number bb=NULL; |
---|
| 703 | if (SR_HDL(b) & SR_INT) |
---|
| 704 | { |
---|
| 705 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 706 | b=bb; |
---|
| 707 | } |
---|
| 708 | u=(number)omAllocBin(rnumber_bin); |
---|
| 709 | #if defined(LDEBUG) |
---|
| 710 | u->debug=123456; |
---|
| 711 | #endif |
---|
[98bda9] | 712 | assume(a->s==3); |
---|
| 713 | assume(b->s==3); |
---|
[a604c3] | 714 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 715 | /* u=u/b */ |
---|
| 716 | u->s = 3; |
---|
[a604c3] | 717 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 718 | if (bb!=NULL) |
---|
| 719 | { |
---|
[a604c3] | 720 | mpz_clear(bb->z); |
---|
[35aab3] | 721 | #if defined(LDEBUG) |
---|
| 722 | bb->debug=654324; |
---|
| 723 | #endif |
---|
| 724 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 725 | } |
---|
[246d15] | 726 | u=nlShort3(u); |
---|
[35aab3] | 727 | nlTest(u); |
---|
| 728 | return u; |
---|
| 729 | } |
---|
| 730 | |
---|
| 731 | /*2 |
---|
| 732 | * u := a mod b in Z, u>=0 |
---|
| 733 | */ |
---|
| 734 | number nlIntMod (number a, number b) |
---|
| 735 | { |
---|
| 736 | if (b==INT_TO_SR(0)) |
---|
| 737 | { |
---|
[b7e838] | 738 | WerrorS(nDivBy0); |
---|
[35aab3] | 739 | return INT_TO_SR(0); |
---|
| 740 | } |
---|
| 741 | if (a==INT_TO_SR(0)) |
---|
| 742 | return INT_TO_SR(0); |
---|
| 743 | number u; |
---|
| 744 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 745 | { |
---|
[7447d8] | 746 | if ((long)a>0L) |
---|
[35aab3] | 747 | { |
---|
[7447d8] | 748 | if ((long)b>0L) |
---|
[35aab3] | 749 | return INT_TO_SR(SR_TO_INT(a)%SR_TO_INT(b)); |
---|
| 750 | else |
---|
| 751 | return INT_TO_SR(SR_TO_INT(a)%(-SR_TO_INT(b))); |
---|
| 752 | } |
---|
| 753 | else |
---|
| 754 | { |
---|
[7447d8] | 755 | if ((long)b>0L) |
---|
[35aab3] | 756 | { |
---|
[246d15] | 757 | long i=(-SR_TO_INT(a))%SR_TO_INT(b); |
---|
| 758 | if ( i != 0L ) i = (SR_TO_INT(b))-i; |
---|
[35aab3] | 759 | return INT_TO_SR(i); |
---|
| 760 | } |
---|
| 761 | else |
---|
| 762 | { |
---|
[246d15] | 763 | long i=(-SR_TO_INT(a))%(-SR_TO_INT(b)); |
---|
| 764 | if ( i != 0L ) i = (-SR_TO_INT(b))-i; |
---|
[35aab3] | 765 | return INT_TO_SR(i); |
---|
| 766 | } |
---|
| 767 | } |
---|
| 768 | } |
---|
| 769 | if (SR_HDL(a) & SR_INT) |
---|
| 770 | { |
---|
| 771 | /* a is a small and b is a large int: -> a or (a+b) or (a-b) */ |
---|
[7447d8] | 772 | if ((long)a<0L) |
---|
[35aab3] | 773 | { |
---|
[a604c3] | 774 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 775 | return nlSub(a,b); |
---|
| 776 | /*else*/ |
---|
| 777 | return nlAdd(a,b); |
---|
| 778 | } |
---|
| 779 | /*else*/ |
---|
| 780 | return a; |
---|
| 781 | } |
---|
| 782 | number bb=NULL; |
---|
| 783 | if (SR_HDL(b) & SR_INT) |
---|
| 784 | { |
---|
| 785 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 786 | b=bb; |
---|
| 787 | } |
---|
| 788 | u=(number)omAllocBin(rnumber_bin); |
---|
| 789 | #if defined(LDEBUG) |
---|
| 790 | u->debug=123456; |
---|
| 791 | #endif |
---|
[a604c3] | 792 | mpz_init(u->z); |
---|
[35aab3] | 793 | u->s = 3; |
---|
[a604c3] | 794 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 795 | if (bb!=NULL) |
---|
| 796 | { |
---|
[a604c3] | 797 | mpz_clear(bb->z); |
---|
[35aab3] | 798 | #if defined(LDEBUG) |
---|
| 799 | bb->debug=654324; |
---|
| 800 | #endif |
---|
| 801 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 802 | } |
---|
[a604c3] | 803 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 804 | { |
---|
[a604c3] | 805 | if (mpz_isNeg(b->z)) |
---|
| 806 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 807 | else |
---|
[a604c3] | 808 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 809 | } |
---|
[246d15] | 810 | u=nlShort3(u); |
---|
[35aab3] | 811 | nlTest(u); |
---|
| 812 | return u; |
---|
| 813 | } |
---|
| 814 | |
---|
| 815 | /*2 |
---|
| 816 | * u := a / b |
---|
| 817 | */ |
---|
| 818 | number nlDiv (number a, number b) |
---|
| 819 | { |
---|
| 820 | number u; |
---|
| 821 | if (nlIsZero(b)) |
---|
| 822 | { |
---|
[b7e838] | 823 | WerrorS(nDivBy0); |
---|
[35aab3] | 824 | return INT_TO_SR(0); |
---|
| 825 | } |
---|
| 826 | u=(number)omAllocBin(rnumber_bin); |
---|
| 827 | u->s=0; |
---|
| 828 | #if defined(LDEBUG) |
---|
| 829 | u->debug=123456; |
---|
| 830 | #endif |
---|
| 831 | // ---------- short / short ------------------------------------ |
---|
| 832 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 833 | { |
---|
[246d15] | 834 | long i=SR_TO_INT(a); |
---|
| 835 | long j=SR_TO_INT(b); |
---|
| 836 | long r=i%j; |
---|
[35aab3] | 837 | if (r==0) |
---|
| 838 | { |
---|
| 839 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 840 | return INT_TO_SR(i/j); |
---|
| 841 | } |
---|
[a604c3] | 842 | mpz_init_set_si(u->z,(long)i); |
---|
| 843 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 844 | } |
---|
| 845 | else |
---|
| 846 | { |
---|
[a604c3] | 847 | mpz_init(u->z); |
---|
[35aab3] | 848 | // ---------- short / long ------------------------------------ |
---|
| 849 | if (SR_HDL(a) & SR_INT) |
---|
| 850 | { |
---|
| 851 | // short a / (z/n) -> (a*n)/z |
---|
| 852 | if (b->s<2) |
---|
| 853 | { |
---|
[a604c3] | 854 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 855 | } |
---|
| 856 | else |
---|
| 857 | // short a / long z -> a/z |
---|
| 858 | { |
---|
[a604c3] | 859 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 860 | } |
---|
[a604c3] | 861 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 862 | { |
---|
[a604c3] | 863 | mpz_clear(u->z); |
---|
[35aab3] | 864 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 865 | return INT_TO_SR(1); |
---|
| 866 | } |
---|
[a604c3] | 867 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 868 | } |
---|
| 869 | // ---------- long / short ------------------------------------ |
---|
| 870 | else if (SR_HDL(b) & SR_INT) |
---|
| 871 | { |
---|
[a604c3] | 872 | mpz_set(u->z,a->z); |
---|
[35aab3] | 873 | // (z/n) / b -> z/(n*b) |
---|
| 874 | if (a->s<2) |
---|
| 875 | { |
---|
[a604c3] | 876 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 877 | if ((long)b>0L) |
---|
[a604c3] | 878 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 879 | else |
---|
| 880 | { |
---|
[a604c3] | 881 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 882 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 883 | } |
---|
| 884 | } |
---|
| 885 | else |
---|
| 886 | // long z / short b -> z/b |
---|
| 887 | { |
---|
[a604c3] | 888 | //mpz_set(u->z,a->z); |
---|
| 889 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 890 | } |
---|
| 891 | } |
---|
| 892 | // ---------- long / long ------------------------------------ |
---|
| 893 | else |
---|
| 894 | { |
---|
[a604c3] | 895 | mpz_set(u->z,a->z); |
---|
| 896 | mpz_init_set(u->n,b->z); |
---|
| 897 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 898 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 899 | } |
---|
| 900 | } |
---|
[a604c3] | 901 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 902 | { |
---|
[a604c3] | 903 | mpz_neg(u->z,u->z); |
---|
| 904 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 905 | } |
---|
[a604c3] | 906 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 907 | { |
---|
[a604c3] | 908 | mpz_clear(u->n); |
---|
[35aab3] | 909 | u->s=3; |
---|
[246d15] | 910 | u=nlShort3(u); |
---|
[35aab3] | 911 | } |
---|
| 912 | nlTest(u); |
---|
| 913 | return u; |
---|
| 914 | } |
---|
| 915 | |
---|
| 916 | /*2 |
---|
| 917 | * u:= x ^ exp |
---|
| 918 | */ |
---|
| 919 | void nlPower (number x,int exp,number * u) |
---|
| 920 | { |
---|
[6242bb3] | 921 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[35aab3] | 922 | if (!nlIsZero(x)) |
---|
| 923 | { |
---|
| 924 | nlTest(x); |
---|
| 925 | number aa=NULL; |
---|
| 926 | if (SR_HDL(x) & SR_INT) |
---|
| 927 | { |
---|
| 928 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 929 | x=aa; |
---|
| 930 | } |
---|
[ee7dcf] | 931 | else if (x->s==0) |
---|
| 932 | nlNormalize(x); |
---|
[35aab3] | 933 | *u=(number)omAllocBin(rnumber_bin); |
---|
| 934 | #if defined(LDEBUG) |
---|
| 935 | (*u)->debug=123456; |
---|
| 936 | #endif |
---|
[a604c3] | 937 | mpz_init((*u)->z); |
---|
| 938 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 939 | if (x->s<2) |
---|
| 940 | { |
---|
[a604c3] | 941 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 942 | { |
---|
| 943 | x->s=3; |
---|
[a604c3] | 944 | mpz_clear(x->n); |
---|
[35aab3] | 945 | } |
---|
| 946 | else |
---|
| 947 | { |
---|
[a604c3] | 948 | mpz_init((*u)->n); |
---|
| 949 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 950 | } |
---|
| 951 | } |
---|
| 952 | (*u)->s = x->s; |
---|
[246d15] | 953 | if ((*u)->s==3) *u=nlShort3(*u); |
---|
[35aab3] | 954 | if (aa!=NULL) |
---|
| 955 | { |
---|
[a604c3] | 956 | mpz_clear(aa->z); |
---|
[35aab3] | 957 | omFreeBin((ADDRESS)aa, rnumber_bin); |
---|
| 958 | } |
---|
| 959 | } |
---|
[6242bb3] | 960 | else if (exp==0) |
---|
| 961 | *u = INT_TO_SR(1); // 0^0 |
---|
[35aab3] | 962 | #ifdef LDEBUG |
---|
[deca7f6] | 963 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[35aab3] | 964 | nlTest(*u); |
---|
| 965 | #endif |
---|
| 966 | } |
---|
| 967 | |
---|
| 968 | |
---|
| 969 | /*2 |
---|
| 970 | * za >= 0 ? |
---|
| 971 | */ |
---|
| 972 | BOOLEAN nlGreaterZero (number a) |
---|
| 973 | { |
---|
| 974 | nlTest(a); |
---|
[246d15] | 975 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1L /* represents number(0) */; |
---|
[a604c3] | 976 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 977 | } |
---|
| 978 | |
---|
| 979 | /*2 |
---|
| 980 | * a > b ? |
---|
| 981 | */ |
---|
| 982 | BOOLEAN nlGreater (number a, number b) |
---|
| 983 | { |
---|
| 984 | nlTest(a); |
---|
| 985 | nlTest(b); |
---|
| 986 | number r; |
---|
| 987 | BOOLEAN rr; |
---|
| 988 | r=nlSub(a,b); |
---|
| 989 | rr=(!nlIsZero(r)) && (nlGreaterZero(r)); |
---|
| 990 | nlDelete(&r,currRing); |
---|
| 991 | return rr; |
---|
| 992 | } |
---|
| 993 | |
---|
| 994 | /*2 |
---|
| 995 | * a == -1 ? |
---|
| 996 | */ |
---|
| 997 | BOOLEAN nlIsMOne (number a) |
---|
| 998 | { |
---|
| 999 | #ifdef LDEBUG |
---|
| 1000 | if (a==NULL) return FALSE; |
---|
| 1001 | nlTest(a); |
---|
| 1002 | #endif |
---|
[246d15] | 1003 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1L)); |
---|
[5f4ae4] | 1004 | //return FALSE; |
---|
[246d15] | 1005 | return (a==INT_TO_SR(-1L)); |
---|
[35aab3] | 1006 | } |
---|
| 1007 | |
---|
| 1008 | /*2 |
---|
| 1009 | * result =gcd(a,b) |
---|
| 1010 | */ |
---|
| 1011 | number nlGcd(number a, number b, const ring r) |
---|
| 1012 | { |
---|
| 1013 | number result; |
---|
| 1014 | nlTest(a); |
---|
| 1015 | nlTest(b); |
---|
| 1016 | //nlNormalize(a); |
---|
| 1017 | //nlNormalize(b); |
---|
[246d15] | 1018 | if ((a==INT_TO_SR(1L))||(a==INT_TO_SR(-1L)) |
---|
| 1019 | || (b==INT_TO_SR(1L))||(b==INT_TO_SR(-1L))) |
---|
| 1020 | return INT_TO_SR(1L); |
---|
[f553f3] | 1021 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
| 1022 | return nlCopy(b); |
---|
| 1023 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
| 1024 | return nlCopy(a); |
---|
[35aab3] | 1025 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1026 | { |
---|
[246d15] | 1027 | long i=SR_TO_INT(a); |
---|
| 1028 | long j=SR_TO_INT(b); |
---|
| 1029 | if((i==0L)||(j==0L)) |
---|
[35aab3] | 1030 | return INT_TO_SR(1); |
---|
[246d15] | 1031 | long l; |
---|
[35aab3] | 1032 | i=ABS(i); |
---|
| 1033 | j=ABS(j); |
---|
| 1034 | do |
---|
| 1035 | { |
---|
| 1036 | l=i%j; |
---|
| 1037 | i=j; |
---|
| 1038 | j=l; |
---|
[246d15] | 1039 | } while (l!=0L); |
---|
[35aab3] | 1040 | return INT_TO_SR(i); |
---|
| 1041 | } |
---|
| 1042 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1043 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1044 | if (SR_HDL(a) & SR_INT) |
---|
| 1045 | { |
---|
[a604c3] | 1046 | unsigned long t=mpz_gcd_ui(NULL,b->z,ABS(SR_TO_INT(a))); |
---|
[246d15] | 1047 | return INT_TO_SR(t); |
---|
[35aab3] | 1048 | } |
---|
| 1049 | else |
---|
| 1050 | if (SR_HDL(b) & SR_INT) |
---|
| 1051 | { |
---|
[a604c3] | 1052 | unsigned long t=mpz_gcd_ui(NULL,a->z,ABS(SR_TO_INT(b))); |
---|
[246d15] | 1053 | return INT_TO_SR(t); |
---|
[35aab3] | 1054 | } |
---|
| 1055 | else |
---|
| 1056 | { |
---|
[ea66a97] | 1057 | result=(number)omAllocBin(rnumber_bin); |
---|
[a604c3] | 1058 | mpz_init(result->z); |
---|
| 1059 | mpz_gcd(result->z,a->z,b->z); |
---|
[ea66a97] | 1060 | result->s = 3; |
---|
| 1061 | #ifdef LDEBUG |
---|
| 1062 | result->debug=123456; |
---|
| 1063 | #endif |
---|
[246d15] | 1064 | result=nlShort3(result); |
---|
[35aab3] | 1065 | } |
---|
[246d15] | 1066 | nlTest(result); |
---|
[35aab3] | 1067 | return result; |
---|
| 1068 | } |
---|
| 1069 | |
---|
[18057e] | 1070 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1071 | { |
---|
[18057e] | 1072 | assume(x->s<2); |
---|
[a604c3] | 1073 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1074 | { |
---|
[106406] | 1075 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1076 | return INT_TO_SR(0); |
---|
| 1077 | } |
---|
[18057e] | 1078 | if (x->s<2) |
---|
| 1079 | { |
---|
[a604c3] | 1080 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1081 | { |
---|
[106406] | 1082 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1083 | return INT_TO_SR(1); |
---|
| 1084 | } |
---|
| 1085 | } |
---|
| 1086 | return x; |
---|
| 1087 | } |
---|
[35aab3] | 1088 | /*2 |
---|
| 1089 | * simplify x |
---|
| 1090 | */ |
---|
| 1091 | void nlNormalize (number &x) |
---|
| 1092 | { |
---|
| 1093 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1094 | return; |
---|
| 1095 | if (x->s==3) |
---|
| 1096 | { |
---|
[246d15] | 1097 | x=nlShort3_noinline(x); |
---|
[b72f2d] | 1098 | nlTest(x); |
---|
[18057e] | 1099 | return; |
---|
[35aab3] | 1100 | } |
---|
[3ccafbf] | 1101 | else if (x->s==0) |
---|
[35aab3] | 1102 | { |
---|
[a604c3] | 1103 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1104 | { |
---|
[a604c3] | 1105 | mpz_clear(x->n); |
---|
[3ccafbf] | 1106 | x->s=3; |
---|
[246d15] | 1107 | x=nlShort3(x); |
---|
[eb059c5] | 1108 | } |
---|
[3ccafbf] | 1109 | else |
---|
[eb059c5] | 1110 | { |
---|
[a604c3] | 1111 | mpz_t gcd; |
---|
| 1112 | mpz_init(gcd); |
---|
| 1113 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1114 | x->s=1; |
---|
[a604c3] | 1115 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1116 | { |
---|
[a604c3] | 1117 | mpz_t r; |
---|
| 1118 | mpz_init(r); |
---|
| 1119 | MPZ_EXACTDIV(r,x->z,gcd); |
---|
| 1120 | mpz_set(x->z,r); |
---|
| 1121 | MPZ_EXACTDIV(r,x->n,gcd); |
---|
| 1122 | mpz_set(x->n,r); |
---|
| 1123 | mpz_clear(r); |
---|
| 1124 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1125 | { |
---|
[a604c3] | 1126 | mpz_clear(x->n); |
---|
[3ccafbf] | 1127 | x->s=3; |
---|
[246d15] | 1128 | x=nlShort3_noinline(x); |
---|
[3ccafbf] | 1129 | } |
---|
[eb059c5] | 1130 | } |
---|
[a604c3] | 1131 | mpz_clear(gcd); |
---|
[35aab3] | 1132 | } |
---|
| 1133 | } |
---|
| 1134 | nlTest(x); |
---|
| 1135 | } |
---|
| 1136 | |
---|
| 1137 | /*2 |
---|
| 1138 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1139 | */ |
---|
| 1140 | number nlLcm(number a, number b, const ring r) |
---|
| 1141 | { |
---|
| 1142 | number result; |
---|
| 1143 | nlTest(a); |
---|
| 1144 | nlTest(b); |
---|
| 1145 | if ((SR_HDL(b) & SR_INT) |
---|
| 1146 | || (b->s==3)) |
---|
| 1147 | { |
---|
| 1148 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
| 1149 | return nlCopy(a); |
---|
| 1150 | } |
---|
| 1151 | result=(number)omAllocBin(rnumber_bin); |
---|
| 1152 | #if defined(LDEBUG) |
---|
| 1153 | result->debug=123456; |
---|
| 1154 | #endif |
---|
| 1155 | result->s=3; |
---|
[a604c3] | 1156 | mpz_t gcd; |
---|
| 1157 | mpz_init(gcd); |
---|
| 1158 | mpz_init(result->z); |
---|
[35aab3] | 1159 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1160 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1161 | else |
---|
[a604c3] | 1162 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1163 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1164 | { |
---|
[a604c3] | 1165 | mpz_t bt; |
---|
| 1166 | mpz_init_set(bt,b->n); |
---|
| 1167 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1168 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1169 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1170 | else |
---|
[a604c3] | 1171 | mpz_mul(result->z,bt,a->z); |
---|
| 1172 | mpz_clear(bt); |
---|
[35aab3] | 1173 | } |
---|
| 1174 | else |
---|
| 1175 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1176 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1177 | else |
---|
[a604c3] | 1178 | mpz_mul(result->z,b->n,a->z); |
---|
| 1179 | mpz_clear(gcd); |
---|
[246d15] | 1180 | result=nlShort3(result); |
---|
[35aab3] | 1181 | nlTest(result); |
---|
| 1182 | return result; |
---|
| 1183 | } |
---|
| 1184 | |
---|
| 1185 | int nlModP(number n, int p) |
---|
| 1186 | { |
---|
| 1187 | if (SR_HDL(n) & SR_INT) |
---|
| 1188 | { |
---|
[246d15] | 1189 | long i=SR_TO_INT(n); |
---|
| 1190 | if (i<0L) return (((long)p)-((-i)%((long)p))); |
---|
| 1191 | return i%((long)p); |
---|
[35aab3] | 1192 | } |
---|
[a604c3] | 1193 | int iz=(int)mpz_fdiv_ui(n->z,(unsigned long)p); |
---|
[35aab3] | 1194 | if (n->s!=3) |
---|
| 1195 | { |
---|
[a604c3] | 1196 | int in=mpz_fdiv_ui(n->n,(unsigned long)p); |
---|
[6c15ec] | 1197 | #ifdef NV_OPS |
---|
| 1198 | if (npPrimeM>NV_MAX_PRIME) |
---|
| 1199 | return (int)((long)nvDiv((number)iz,(number)in)); |
---|
| 1200 | #endif |
---|
[7447d8] | 1201 | return (int)((long)npDiv((number)iz,(number)in)); |
---|
[35aab3] | 1202 | } |
---|
| 1203 | return iz; |
---|
| 1204 | } |
---|
| 1205 | |
---|
[894f5b1] | 1206 | #ifdef HAVE_RINGS |
---|
| 1207 | /*2 |
---|
[1919112] | 1208 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1209 | */ |
---|
[0959dc] | 1210 | void nlGMP(number &i, number n) |
---|
[894f5b1] | 1211 | { |
---|
| 1212 | // Hier brauche ich einfach die GMP Zahl |
---|
| 1213 | nlTest(i); |
---|
| 1214 | nlNormalize(i); |
---|
| 1215 | if (SR_HDL(i) & SR_INT) |
---|
| 1216 | { |
---|
[246d15] | 1217 | mpz_set_si((mpz_ptr) n, SR_TO_INT(i)); |
---|
[0959dc] | 1218 | return; |
---|
[894f5b1] | 1219 | } |
---|
| 1220 | if (i->s!=3) |
---|
| 1221 | { |
---|
| 1222 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1223 | } |
---|
[a604c3] | 1224 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1225 | } |
---|
| 1226 | #endif |
---|
| 1227 | |
---|
[35aab3] | 1228 | /*2 |
---|
| 1229 | * acces to denominator, other 1 for integers |
---|
| 1230 | */ |
---|
| 1231 | number nlGetDenom(number &n, const ring r) |
---|
| 1232 | { |
---|
| 1233 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1234 | { |
---|
| 1235 | if (n->s==0) |
---|
| 1236 | { |
---|
| 1237 | nlNormalize(n); |
---|
| 1238 | } |
---|
| 1239 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1240 | { |
---|
| 1241 | if (n->s!=3) |
---|
| 1242 | { |
---|
| 1243 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1244 | u->s=3; |
---|
| 1245 | #if defined(LDEBUG) |
---|
| 1246 | u->debug=123456; |
---|
| 1247 | #endif |
---|
[a604c3] | 1248 | mpz_init_set(u->z,n->n); |
---|
[246d15] | 1249 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1250 | return u; |
---|
| 1251 | } |
---|
| 1252 | } |
---|
| 1253 | } |
---|
| 1254 | return INT_TO_SR(1); |
---|
| 1255 | } |
---|
| 1256 | |
---|
| 1257 | /*2 |
---|
| 1258 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1259 | */ |
---|
[e803ec] | 1260 | number nlGetNumerator(number &n, const ring r) |
---|
[35aab3] | 1261 | { |
---|
| 1262 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1263 | { |
---|
| 1264 | if (n->s==0) |
---|
| 1265 | { |
---|
| 1266 | nlNormalize(n); |
---|
| 1267 | } |
---|
| 1268 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1269 | { |
---|
| 1270 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1271 | #if defined(LDEBUG) |
---|
| 1272 | u->debug=123456; |
---|
| 1273 | #endif |
---|
| 1274 | u->s=3; |
---|
[a604c3] | 1275 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1276 | if (n->s!=3) |
---|
| 1277 | { |
---|
[246d15] | 1278 | u=nlShort3_noinline(u); |
---|
[35aab3] | 1279 | } |
---|
| 1280 | return u; |
---|
| 1281 | } |
---|
| 1282 | } |
---|
| 1283 | return n; // imm. int |
---|
| 1284 | } |
---|
| 1285 | |
---|
| 1286 | /*************************************************************** |
---|
| 1287 | * |
---|
| 1288 | * routines which are needed by Inline(d) routines |
---|
| 1289 | * |
---|
| 1290 | *******************************************************************/ |
---|
| 1291 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1292 | { |
---|
| 1293 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1294 | // long - short |
---|
| 1295 | BOOLEAN bo; |
---|
| 1296 | if (SR_HDL(b) & SR_INT) |
---|
| 1297 | { |
---|
| 1298 | if (a->s!=0) return FALSE; |
---|
| 1299 | number n=b; b=a; a=n; |
---|
| 1300 | } |
---|
| 1301 | // short - long |
---|
| 1302 | if (SR_HDL(a) & SR_INT) |
---|
| 1303 | { |
---|
| 1304 | if (b->s!=0) |
---|
| 1305 | return FALSE; |
---|
[a604c3] | 1306 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1307 | return FALSE; |
---|
[a604c3] | 1308 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1309 | return FALSE; |
---|
[a604c3] | 1310 | mpz_t bb; |
---|
| 1311 | mpz_init_set(bb,b->n); |
---|
| 1312 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1313 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1314 | mpz_clear(bb); |
---|
[35aab3] | 1315 | return bo; |
---|
| 1316 | } |
---|
| 1317 | // long - long |
---|
| 1318 | if (((a->s==1) && (b->s==3)) |
---|
| 1319 | || ((b->s==1) && (a->s==3))) |
---|
| 1320 | return FALSE; |
---|
[a604c3] | 1321 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1322 | return FALSE; |
---|
[a604c3] | 1323 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1324 | return FALSE; |
---|
[a604c3] | 1325 | mpz_t aa; |
---|
| 1326 | mpz_t bb; |
---|
| 1327 | mpz_init_set(aa,a->z); |
---|
| 1328 | mpz_init_set(bb,b->z); |
---|
| 1329 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1330 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1331 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1332 | mpz_clear(aa); |
---|
| 1333 | mpz_clear(bb); |
---|
[35aab3] | 1334 | return bo; |
---|
| 1335 | } |
---|
| 1336 | |
---|
| 1337 | // copy not immediate number a |
---|
| 1338 | number _nlCopy_NoImm(number a) |
---|
| 1339 | { |
---|
| 1340 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
| 1341 | nlTest(a); |
---|
| 1342 | number b=(number)omAllocBin(rnumber_bin); |
---|
| 1343 | #if defined(LDEBUG) |
---|
| 1344 | b->debug=123456; |
---|
| 1345 | #endif |
---|
| 1346 | switch (a->s) |
---|
| 1347 | { |
---|
| 1348 | case 0: |
---|
| 1349 | case 1: |
---|
[a604c3] | 1350 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1351 | case 3: |
---|
[a604c3] | 1352 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1353 | break; |
---|
| 1354 | } |
---|
| 1355 | b->s = a->s; |
---|
| 1356 | nlTest(b); |
---|
| 1357 | return b; |
---|
| 1358 | } |
---|
| 1359 | |
---|
[fee4c2] | 1360 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1361 | { |
---|
| 1362 | { |
---|
| 1363 | switch ((*a)->s) |
---|
| 1364 | { |
---|
| 1365 | case 0: |
---|
| 1366 | case 1: |
---|
[a604c3] | 1367 | mpz_clear((*a)->n); |
---|
[35aab3] | 1368 | case 3: |
---|
[a604c3] | 1369 | mpz_clear((*a)->z); |
---|
[35aab3] | 1370 | #ifdef LDEBUG |
---|
| 1371 | (*a)->s=2; |
---|
| 1372 | #endif |
---|
| 1373 | } |
---|
| 1374 | omFreeBin((ADDRESS) *a, rnumber_bin); |
---|
| 1375 | } |
---|
| 1376 | } |
---|
| 1377 | |
---|
| 1378 | number _nlNeg_NoImm(number a) |
---|
| 1379 | { |
---|
| 1380 | { |
---|
[a604c3] | 1381 | mpz_neg(a->z,a->z); |
---|
[246d15] | 1382 | if (a->s==3) |
---|
[35aab3] | 1383 | { |
---|
[246d15] | 1384 | a=nlShort3(a); |
---|
[35aab3] | 1385 | } |
---|
| 1386 | } |
---|
| 1387 | nlTest(a); |
---|
| 1388 | return a; |
---|
| 1389 | } |
---|
| 1390 | |
---|
| 1391 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1392 | { |
---|
| 1393 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1394 | #if defined(LDEBUG) |
---|
| 1395 | u->debug=123456; |
---|
| 1396 | #endif |
---|
[a604c3] | 1397 | mpz_init(u->z); |
---|
[35aab3] | 1398 | if (SR_HDL(b) & SR_INT) |
---|
| 1399 | { |
---|
| 1400 | number x=a; |
---|
| 1401 | a=b; |
---|
| 1402 | b=x; |
---|
| 1403 | } |
---|
| 1404 | if (SR_HDL(a) & SR_INT) |
---|
| 1405 | { |
---|
| 1406 | switch (b->s) |
---|
| 1407 | { |
---|
| 1408 | case 0: |
---|
| 1409 | case 1:/* a:short, b:1 */ |
---|
| 1410 | { |
---|
[a604c3] | 1411 | mpz_t x; |
---|
| 1412 | mpz_init(x); |
---|
| 1413 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1414 | mpz_add(u->z,b->z,x); |
---|
| 1415 | mpz_clear(x); |
---|
| 1416 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1417 | { |
---|
[a604c3] | 1418 | mpz_clear(u->z); |
---|
[35aab3] | 1419 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1420 | return INT_TO_SR(0); |
---|
| 1421 | } |
---|
[a604c3] | 1422 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1423 | { |
---|
[a604c3] | 1424 | mpz_clear(u->z); |
---|
[35aab3] | 1425 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1426 | return INT_TO_SR(1); |
---|
| 1427 | } |
---|
[a604c3] | 1428 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1429 | u->s = 0; |
---|
| 1430 | break; |
---|
| 1431 | } |
---|
| 1432 | case 3: |
---|
| 1433 | { |
---|
[7447d8] | 1434 | if ((long)a>0L) |
---|
[a604c3] | 1435 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1436 | else |
---|
[a604c3] | 1437 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1438 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1439 | { |
---|
[a604c3] | 1440 | mpz_clear(u->z); |
---|
[35aab3] | 1441 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1442 | return INT_TO_SR(0); |
---|
| 1443 | } |
---|
| 1444 | u->s = 3; |
---|
[246d15] | 1445 | u=nlShort3(u); |
---|
[35aab3] | 1446 | break; |
---|
| 1447 | } |
---|
| 1448 | } |
---|
| 1449 | } |
---|
| 1450 | else |
---|
| 1451 | { |
---|
| 1452 | switch (a->s) |
---|
| 1453 | { |
---|
| 1454 | case 0: |
---|
| 1455 | case 1: |
---|
| 1456 | { |
---|
| 1457 | switch(b->s) |
---|
| 1458 | { |
---|
| 1459 | case 0: |
---|
| 1460 | case 1: |
---|
| 1461 | { |
---|
[a604c3] | 1462 | mpz_t x; |
---|
| 1463 | mpz_init(x); |
---|
[e8a0aa] | 1464 | |
---|
[a604c3] | 1465 | mpz_mul(x,b->z,a->n); |
---|
| 1466 | mpz_mul(u->z,a->z,b->n); |
---|
| 1467 | mpz_add(u->z,u->z,x); |
---|
| 1468 | mpz_clear(x); |
---|
[e8a0aa] | 1469 | |
---|
[a604c3] | 1470 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1471 | { |
---|
[a604c3] | 1472 | mpz_clear(u->z); |
---|
[35aab3] | 1473 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1474 | return INT_TO_SR(0); |
---|
| 1475 | } |
---|
[a604c3] | 1476 | mpz_init(u->n); |
---|
| 1477 | mpz_mul(u->n,a->n,b->n); |
---|
| 1478 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1479 | { |
---|
[a604c3] | 1480 | mpz_clear(u->z); |
---|
| 1481 | mpz_clear(u->n); |
---|
[35aab3] | 1482 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1483 | return INT_TO_SR(1); |
---|
| 1484 | } |
---|
| 1485 | u->s = 0; |
---|
| 1486 | break; |
---|
| 1487 | } |
---|
| 1488 | case 3: /* a:1 b:3 */ |
---|
| 1489 | { |
---|
[a604c3] | 1490 | mpz_mul(u->z,b->z,a->n); |
---|
| 1491 | mpz_add(u->z,u->z,a->z); |
---|
| 1492 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1493 | { |
---|
[a604c3] | 1494 | mpz_clear(u->z); |
---|
[35aab3] | 1495 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1496 | return INT_TO_SR(0); |
---|
| 1497 | } |
---|
[a604c3] | 1498 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1499 | { |
---|
[a604c3] | 1500 | mpz_clear(u->z); |
---|
[35aab3] | 1501 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1502 | return INT_TO_SR(1); |
---|
| 1503 | } |
---|
[a604c3] | 1504 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1505 | u->s = 0; |
---|
| 1506 | break; |
---|
| 1507 | } |
---|
| 1508 | } /*switch (b->s) */ |
---|
| 1509 | break; |
---|
| 1510 | } |
---|
| 1511 | case 3: |
---|
| 1512 | { |
---|
| 1513 | switch(b->s) |
---|
| 1514 | { |
---|
| 1515 | case 0: |
---|
| 1516 | case 1:/* a:3, b:1 */ |
---|
| 1517 | { |
---|
[a604c3] | 1518 | mpz_mul(u->z,a->z,b->n); |
---|
| 1519 | mpz_add(u->z,u->z,b->z); |
---|
| 1520 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1521 | { |
---|
[a604c3] | 1522 | mpz_clear(u->z); |
---|
[35aab3] | 1523 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 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); |
---|
[35aab3] | 1529 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 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 | { |
---|
[a604c3] | 1538 | mpz_add(u->z,a->z,b->z); |
---|
| 1539 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1540 | { |
---|
[a604c3] | 1541 | mpz_clear(u->z); |
---|
[35aab3] | 1542 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1543 | return INT_TO_SR(0); |
---|
| 1544 | } |
---|
| 1545 | u->s = 3; |
---|
[246d15] | 1546 | u=nlShort3(u); |
---|
[35aab3] | 1547 | break; |
---|
| 1548 | } |
---|
| 1549 | } |
---|
| 1550 | break; |
---|
| 1551 | } |
---|
| 1552 | } |
---|
| 1553 | } |
---|
| 1554 | nlTest(u); |
---|
| 1555 | return u; |
---|
| 1556 | } |
---|
| 1557 | |
---|
| 1558 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1559 | { |
---|
| 1560 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1561 | #if defined(LDEBUG) |
---|
| 1562 | u->debug=123456; |
---|
| 1563 | #endif |
---|
[a604c3] | 1564 | mpz_init(u->z); |
---|
[35aab3] | 1565 | if (SR_HDL(a) & SR_INT) |
---|
| 1566 | { |
---|
| 1567 | switch (b->s) |
---|
| 1568 | { |
---|
| 1569 | case 0: |
---|
| 1570 | case 1:/* a:short, b:1 */ |
---|
| 1571 | { |
---|
[a604c3] | 1572 | mpz_t x; |
---|
| 1573 | mpz_init(x); |
---|
| 1574 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1575 | mpz_sub(u->z,x,b->z); |
---|
| 1576 | mpz_clear(x); |
---|
| 1577 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1578 | { |
---|
[a604c3] | 1579 | mpz_clear(u->z); |
---|
[35aab3] | 1580 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1581 | return INT_TO_SR(0); |
---|
| 1582 | } |
---|
[a604c3] | 1583 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1584 | { |
---|
[a604c3] | 1585 | mpz_clear(u->z); |
---|
[35aab3] | 1586 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1587 | return INT_TO_SR(1); |
---|
| 1588 | } |
---|
[a604c3] | 1589 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1590 | u->s = 0; |
---|
| 1591 | break; |
---|
| 1592 | } |
---|
| 1593 | case 3: |
---|
| 1594 | { |
---|
[7447d8] | 1595 | if ((long)a>0L) |
---|
[35aab3] | 1596 | { |
---|
[a604c3] | 1597 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1598 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1599 | } |
---|
| 1600 | else |
---|
| 1601 | { |
---|
[a604c3] | 1602 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1603 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1604 | } |
---|
[a604c3] | 1605 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1606 | { |
---|
[a604c3] | 1607 | mpz_clear(u->z); |
---|
[35aab3] | 1608 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1609 | return INT_TO_SR(0); |
---|
| 1610 | } |
---|
| 1611 | u->s = 3; |
---|
[246d15] | 1612 | u=nlShort3(u); |
---|
[35aab3] | 1613 | break; |
---|
| 1614 | } |
---|
| 1615 | } |
---|
| 1616 | } |
---|
| 1617 | else if (SR_HDL(b) & SR_INT) |
---|
| 1618 | { |
---|
| 1619 | switch (a->s) |
---|
| 1620 | { |
---|
| 1621 | case 0: |
---|
| 1622 | case 1:/* b:short, a:1 */ |
---|
| 1623 | { |
---|
[a604c3] | 1624 | mpz_t x; |
---|
| 1625 | mpz_init(x); |
---|
| 1626 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1627 | mpz_sub(u->z,a->z,x); |
---|
| 1628 | mpz_clear(x); |
---|
| 1629 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1630 | { |
---|
[a604c3] | 1631 | mpz_clear(u->z); |
---|
[35aab3] | 1632 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1633 | return INT_TO_SR(0); |
---|
| 1634 | } |
---|
[a604c3] | 1635 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1636 | { |
---|
[a604c3] | 1637 | mpz_clear(u->z); |
---|
[35aab3] | 1638 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1639 | return INT_TO_SR(1); |
---|
| 1640 | } |
---|
[a604c3] | 1641 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1642 | u->s = 0; |
---|
| 1643 | break; |
---|
| 1644 | } |
---|
| 1645 | case 3: |
---|
| 1646 | { |
---|
[7447d8] | 1647 | if ((long)b>0L) |
---|
[35aab3] | 1648 | { |
---|
[a604c3] | 1649 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1650 | } |
---|
| 1651 | else |
---|
| 1652 | { |
---|
[a604c3] | 1653 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1654 | } |
---|
[a604c3] | 1655 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1656 | { |
---|
[a604c3] | 1657 | mpz_clear(u->z); |
---|
[35aab3] | 1658 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1659 | return INT_TO_SR(0); |
---|
| 1660 | } |
---|
| 1661 | u->s = 3; |
---|
[246d15] | 1662 | u=nlShort3(u); |
---|
[35aab3] | 1663 | break; |
---|
| 1664 | } |
---|
| 1665 | } |
---|
| 1666 | } |
---|
| 1667 | else |
---|
| 1668 | { |
---|
| 1669 | switch (a->s) |
---|
| 1670 | { |
---|
| 1671 | case 0: |
---|
| 1672 | case 1: |
---|
| 1673 | { |
---|
| 1674 | switch(b->s) |
---|
| 1675 | { |
---|
| 1676 | case 0: |
---|
| 1677 | case 1: |
---|
| 1678 | { |
---|
[a604c3] | 1679 | mpz_t x; |
---|
| 1680 | mpz_t y; |
---|
| 1681 | mpz_init(x); |
---|
| 1682 | mpz_init(y); |
---|
| 1683 | mpz_mul(x,b->z,a->n); |
---|
| 1684 | mpz_mul(y,a->z,b->n); |
---|
| 1685 | mpz_sub(u->z,y,x); |
---|
| 1686 | mpz_clear(x); |
---|
| 1687 | mpz_clear(y); |
---|
| 1688 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1689 | { |
---|
[a604c3] | 1690 | mpz_clear(u->z); |
---|
[35aab3] | 1691 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1692 | return INT_TO_SR(0); |
---|
| 1693 | } |
---|
[a604c3] | 1694 | mpz_init(u->n); |
---|
| 1695 | mpz_mul(u->n,a->n,b->n); |
---|
| 1696 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1697 | { |
---|
[a604c3] | 1698 | mpz_clear(u->z); |
---|
| 1699 | mpz_clear(u->n); |
---|
[35aab3] | 1700 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1701 | return INT_TO_SR(1); |
---|
| 1702 | } |
---|
| 1703 | u->s = 0; |
---|
| 1704 | break; |
---|
| 1705 | } |
---|
| 1706 | case 3: /* a:1, b:3 */ |
---|
| 1707 | { |
---|
[a604c3] | 1708 | mpz_t x; |
---|
| 1709 | mpz_init(x); |
---|
| 1710 | mpz_mul(x,b->z,a->n); |
---|
| 1711 | mpz_sub(u->z,a->z,x); |
---|
| 1712 | mpz_clear(x); |
---|
| 1713 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1714 | { |
---|
[a604c3] | 1715 | mpz_clear(u->z); |
---|
[35aab3] | 1716 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1717 | return INT_TO_SR(0); |
---|
| 1718 | } |
---|
[a604c3] | 1719 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1720 | { |
---|
[a604c3] | 1721 | mpz_clear(u->z); |
---|
[35aab3] | 1722 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1723 | return INT_TO_SR(1); |
---|
| 1724 | } |
---|
[a604c3] | 1725 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1726 | u->s = 0; |
---|
| 1727 | break; |
---|
| 1728 | } |
---|
| 1729 | } |
---|
| 1730 | break; |
---|
| 1731 | } |
---|
| 1732 | case 3: |
---|
| 1733 | { |
---|
| 1734 | switch(b->s) |
---|
| 1735 | { |
---|
| 1736 | case 0: |
---|
| 1737 | case 1: /* a:3, b:1 */ |
---|
| 1738 | { |
---|
[a604c3] | 1739 | mpz_t x; |
---|
| 1740 | mpz_init(x); |
---|
| 1741 | mpz_mul(x,a->z,b->n); |
---|
| 1742 | mpz_sub(u->z,x,b->z); |
---|
| 1743 | mpz_clear(x); |
---|
| 1744 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1745 | { |
---|
[a604c3] | 1746 | mpz_clear(u->z); |
---|
[35aab3] | 1747 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1748 | return INT_TO_SR(0); |
---|
| 1749 | } |
---|
[a604c3] | 1750 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1751 | { |
---|
[a604c3] | 1752 | mpz_clear(u->z); |
---|
[35aab3] | 1753 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1754 | return INT_TO_SR(1); |
---|
| 1755 | } |
---|
[a604c3] | 1756 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1757 | u->s = 0; |
---|
| 1758 | break; |
---|
| 1759 | } |
---|
| 1760 | case 3: /* a:3 , b:3 */ |
---|
| 1761 | { |
---|
[a604c3] | 1762 | mpz_sub(u->z,a->z,b->z); |
---|
| 1763 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1764 | { |
---|
[a604c3] | 1765 | mpz_clear(u->z); |
---|
[35aab3] | 1766 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1767 | return INT_TO_SR(0); |
---|
| 1768 | } |
---|
| 1769 | u->s = 3; |
---|
[246d15] | 1770 | u=nlShort3(u); |
---|
[35aab3] | 1771 | break; |
---|
| 1772 | } |
---|
| 1773 | } |
---|
| 1774 | break; |
---|
| 1775 | } |
---|
| 1776 | } |
---|
| 1777 | } |
---|
| 1778 | nlTest(u); |
---|
| 1779 | return u; |
---|
| 1780 | } |
---|
| 1781 | |
---|
| 1782 | // a and b are intermediate, but a*b not |
---|
| 1783 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
| 1784 | { |
---|
| 1785 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1786 | #if defined(LDEBUG) |
---|
| 1787 | u->debug=123456; |
---|
| 1788 | #endif |
---|
| 1789 | u->s=3; |
---|
[246d15] | 1790 | mpz_init_set_si(u->z,SR_TO_INT(a)); |
---|
| 1791 | mpz_mul_si(u->z,u->z,SR_TO_INT(b)); |
---|
[35aab3] | 1792 | nlTest(u); |
---|
| 1793 | return u; |
---|
| 1794 | } |
---|
| 1795 | |
---|
| 1796 | // a or b are not immediate |
---|
| 1797 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1798 | { |
---|
| 1799 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1800 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1801 | #if defined(LDEBUG) |
---|
| 1802 | u->debug=123456; |
---|
| 1803 | #endif |
---|
[a604c3] | 1804 | mpz_init(u->z); |
---|
[35aab3] | 1805 | if (SR_HDL(b) & SR_INT) |
---|
| 1806 | { |
---|
| 1807 | number x=a; |
---|
| 1808 | a=b; |
---|
| 1809 | b=x; |
---|
| 1810 | } |
---|
| 1811 | if (SR_HDL(a) & SR_INT) |
---|
| 1812 | { |
---|
| 1813 | u->s=b->s; |
---|
| 1814 | if (u->s==1) u->s=0; |
---|
[7447d8] | 1815 | if ((long)a>0L) |
---|
[35aab3] | 1816 | { |
---|
[a604c3] | 1817 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 1818 | } |
---|
| 1819 | else |
---|
| 1820 | { |
---|
| 1821 | if (a==INT_TO_SR(-1)) |
---|
| 1822 | { |
---|
[a604c3] | 1823 | mpz_set(u->z,b->z); |
---|
| 1824 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1825 | u->s=b->s; |
---|
| 1826 | } |
---|
| 1827 | else |
---|
| 1828 | { |
---|
[a604c3] | 1829 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 1830 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1831 | } |
---|
| 1832 | } |
---|
| 1833 | if (u->s<2) |
---|
| 1834 | { |
---|
[a604c3] | 1835 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1836 | { |
---|
[a604c3] | 1837 | mpz_clear(u->z); |
---|
[35aab3] | 1838 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1839 | return INT_TO_SR(1); |
---|
| 1840 | } |
---|
[a604c3] | 1841 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1842 | } |
---|
| 1843 | else //u->s==3 |
---|
| 1844 | { |
---|
[246d15] | 1845 | u=nlShort3(u); |
---|
[35aab3] | 1846 | } |
---|
| 1847 | } |
---|
| 1848 | else |
---|
| 1849 | { |
---|
[a604c3] | 1850 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 1851 | u->s = 0; |
---|
| 1852 | if(a->s==3) |
---|
| 1853 | { |
---|
| 1854 | if(b->s==3) |
---|
| 1855 | { |
---|
| 1856 | u->s = 3; |
---|
| 1857 | } |
---|
| 1858 | else |
---|
| 1859 | { |
---|
[a604c3] | 1860 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1861 | { |
---|
[a604c3] | 1862 | mpz_clear(u->z); |
---|
[35aab3] | 1863 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1864 | return INT_TO_SR(1); |
---|
| 1865 | } |
---|
[a604c3] | 1866 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1867 | } |
---|
| 1868 | } |
---|
| 1869 | else |
---|
| 1870 | { |
---|
| 1871 | if(b->s==3) |
---|
| 1872 | { |
---|
[a604c3] | 1873 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1874 | { |
---|
[a604c3] | 1875 | mpz_clear(u->z); |
---|
[35aab3] | 1876 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1877 | return INT_TO_SR(1); |
---|
| 1878 | } |
---|
[a604c3] | 1879 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1880 | } |
---|
| 1881 | else |
---|
| 1882 | { |
---|
[a604c3] | 1883 | mpz_init(u->n); |
---|
| 1884 | mpz_mul(u->n,a->n,b->n); |
---|
| 1885 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1886 | { |
---|
[a604c3] | 1887 | mpz_clear(u->z); |
---|
| 1888 | mpz_clear(u->n); |
---|
[35aab3] | 1889 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1890 | return INT_TO_SR(1); |
---|
| 1891 | } |
---|
| 1892 | } |
---|
| 1893 | } |
---|
| 1894 | } |
---|
| 1895 | nlTest(u); |
---|
| 1896 | return u; |
---|
| 1897 | } |
---|
| 1898 | |
---|
| 1899 | /*2 |
---|
| 1900 | * z := i |
---|
| 1901 | */ |
---|
[246d15] | 1902 | number nlRInit (long i) |
---|
[35aab3] | 1903 | { |
---|
| 1904 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 1905 | #if defined(LDEBUG) |
---|
| 1906 | z->debug=123456; |
---|
| 1907 | #endif |
---|
[246d15] | 1908 | mpz_init_set_si(z->z,i); |
---|
[35aab3] | 1909 | z->s = 3; |
---|
| 1910 | return z; |
---|
| 1911 | } |
---|
| 1912 | |
---|
| 1913 | /*2 |
---|
| 1914 | * z := i/j |
---|
| 1915 | */ |
---|
| 1916 | number nlInit2 (int i, int j) |
---|
| 1917 | { |
---|
| 1918 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 1919 | #if defined(LDEBUG) |
---|
| 1920 | z->debug=123456; |
---|
| 1921 | #endif |
---|
[a604c3] | 1922 | mpz_init_set_si(z->z,(long)i); |
---|
| 1923 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 1924 | z->s = 0; |
---|
| 1925 | nlNormalize(z); |
---|
| 1926 | return z; |
---|
| 1927 | } |
---|
| 1928 | |
---|
[a1ab2a] | 1929 | number nlInit2gmp (mpz_t i, mpz_t j) |
---|
| 1930 | { |
---|
| 1931 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 1932 | #if defined(LDEBUG) |
---|
| 1933 | z->debug=123456; |
---|
| 1934 | #endif |
---|
[a604c3] | 1935 | mpz_init_set(z->z,i); |
---|
| 1936 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 1937 | z->s = 0; |
---|
| 1938 | nlNormalize(z); |
---|
| 1939 | return z; |
---|
| 1940 | } |
---|
| 1941 | |
---|
[35aab3] | 1942 | #else // DO_LINLINE |
---|
| 1943 | |
---|
| 1944 | // declare immedate routines |
---|
| 1945 | number nlRInit (int i); |
---|
| 1946 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 1947 | number _nlCopy_NoImm(number a); |
---|
| 1948 | number _nlNeg_NoImm(number a); |
---|
| 1949 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
| 1950 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 1951 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 1952 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 1953 | |
---|
| 1954 | #endif |
---|
| 1955 | |
---|
| 1956 | /*************************************************************** |
---|
| 1957 | * |
---|
| 1958 | * Routines which might be inlined by p_Numbers.h |
---|
| 1959 | * |
---|
| 1960 | *******************************************************************/ |
---|
| 1961 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 1962 | |
---|
| 1963 | // routines which are always inlined/static |
---|
| 1964 | |
---|
| 1965 | /*2 |
---|
| 1966 | * a = b ? |
---|
| 1967 | */ |
---|
| 1968 | LINLINE BOOLEAN nlEqual (number a, number b) |
---|
| 1969 | { |
---|
| 1970 | nlTest(a); |
---|
| 1971 | nlTest(b); |
---|
| 1972 | // short - short |
---|
| 1973 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 1974 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 1975 | } |
---|
| 1976 | |
---|
| 1977 | |
---|
[8391d8] | 1978 | LINLINE number nlInit (int i, const ring r) |
---|
[35aab3] | 1979 | { |
---|
| 1980 | number n; |
---|
[246d15] | 1981 | LONG ii=(LONG)i; |
---|
| 1982 | if ( ((ii << 3) >> 3) == ii ) n=INT_TO_SR(ii); |
---|
| 1983 | else n=nlRInit(ii); |
---|
[35aab3] | 1984 | nlTest(n); |
---|
| 1985 | return n; |
---|
| 1986 | } |
---|
| 1987 | |
---|
| 1988 | |
---|
| 1989 | /*2 |
---|
| 1990 | * a == 1 ? |
---|
| 1991 | */ |
---|
| 1992 | LINLINE BOOLEAN nlIsOne (number a) |
---|
| 1993 | { |
---|
| 1994 | #ifdef LDEBUG |
---|
| 1995 | if (a==NULL) return FALSE; |
---|
| 1996 | nlTest(a); |
---|
| 1997 | #endif |
---|
[89ca47] | 1998 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 1999 | } |
---|
| 2000 | |
---|
| 2001 | LINLINE BOOLEAN nlIsZero (number a) |
---|
| 2002 | { |
---|
| 2003 | return (a==INT_TO_SR(0)); |
---|
[a604c3] | 2004 | //return (mpz_cmp_si(a->z,(long)0)==0); |
---|
[35aab3] | 2005 | } |
---|
| 2006 | |
---|
| 2007 | /*2 |
---|
| 2008 | * copy a to b |
---|
| 2009 | */ |
---|
| 2010 | LINLINE number nlCopy(number a) |
---|
| 2011 | { |
---|
| 2012 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2013 | { |
---|
| 2014 | return a; |
---|
| 2015 | } |
---|
| 2016 | return _nlCopy_NoImm(a); |
---|
| 2017 | } |
---|
| 2018 | |
---|
| 2019 | |
---|
| 2020 | /*2 |
---|
| 2021 | * delete a |
---|
| 2022 | */ |
---|
| 2023 | LINLINE void nlDelete (number * a, const ring r) |
---|
| 2024 | { |
---|
| 2025 | if (*a!=NULL) |
---|
| 2026 | { |
---|
| 2027 | nlTest(*a); |
---|
| 2028 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2029 | { |
---|
[fee4c2] | 2030 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2031 | } |
---|
| 2032 | *a=NULL; |
---|
| 2033 | } |
---|
| 2034 | } |
---|
| 2035 | |
---|
| 2036 | /*2 |
---|
| 2037 | * za:= - za |
---|
| 2038 | */ |
---|
| 2039 | LINLINE number nlNeg (number a) |
---|
| 2040 | { |
---|
| 2041 | nlTest(a); |
---|
| 2042 | if(SR_HDL(a) &SR_INT) |
---|
| 2043 | { |
---|
| 2044 | int r=SR_TO_INT(a); |
---|
[246d15] | 2045 | if (r==(-(POW_2_28))) a=nlRInit(POW_2_28); |
---|
[35aab3] | 2046 | else a=INT_TO_SR(-r); |
---|
| 2047 | return a; |
---|
| 2048 | } |
---|
| 2049 | return _nlNeg_NoImm(a); |
---|
| 2050 | } |
---|
| 2051 | |
---|
| 2052 | /*2 |
---|
| 2053 | * u:= a + b |
---|
| 2054 | */ |
---|
| 2055 | LINLINE number nlAdd (number a, number b) |
---|
| 2056 | { |
---|
| 2057 | number u; |
---|
| 2058 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2059 | { |
---|
[246d15] | 2060 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[35aab3] | 2061 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2062 | return (number)(long)r; |
---|
[35aab3] | 2063 | else |
---|
| 2064 | return nlRInit(SR_TO_INT(r)); |
---|
| 2065 | } |
---|
| 2066 | return _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2067 | } |
---|
| 2068 | |
---|
[18057e] | 2069 | number nlShort1(number a); |
---|
[246d15] | 2070 | number nlShort3_noinline(number x); |
---|
[e8a0aa] | 2071 | |
---|
| 2072 | LINLINE number nlInpAdd (number a, number b, const ring r) |
---|
| 2073 | { |
---|
| 2074 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2075 | { |
---|
[246d15] | 2076 | LONG r=SR_HDL(a)+SR_HDL(b)-1L; |
---|
[e8a0aa] | 2077 | if ( ((r << 1) >> 1) == r ) |
---|
| 2078 | return (number)(long)r; |
---|
| 2079 | else |
---|
| 2080 | return nlRInit(SR_TO_INT(r)); |
---|
| 2081 | } |
---|
| 2082 | // a=a+b |
---|
| 2083 | if (SR_HDL(b) & SR_INT) |
---|
| 2084 | { |
---|
| 2085 | switch (a->s) |
---|
| 2086 | { |
---|
| 2087 | case 0: |
---|
| 2088 | case 1:/* b:short, a:1 */ |
---|
| 2089 | { |
---|
[a604c3] | 2090 | mpz_t x; |
---|
| 2091 | mpz_init(x); |
---|
| 2092 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 2093 | mpz_add(a->z,a->z,x); |
---|
| 2094 | mpz_clear(x); |
---|
[e8a0aa] | 2095 | a->s = 0; |
---|
[18057e] | 2096 | a=nlShort1(a); |
---|
[e8a0aa] | 2097 | break; |
---|
| 2098 | } |
---|
| 2099 | case 3: |
---|
| 2100 | { |
---|
| 2101 | if ((long)b>0L) |
---|
[a604c3] | 2102 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
[e8a0aa] | 2103 | else |
---|
[a604c3] | 2104 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
[e8a0aa] | 2105 | a->s = 3; |
---|
[246d15] | 2106 | a=nlShort3_noinline(a); |
---|
[e8a0aa] | 2107 | break; |
---|
| 2108 | } |
---|
| 2109 | } |
---|
| 2110 | return a; |
---|
| 2111 | } |
---|
| 2112 | if (SR_HDL(a) & SR_INT) |
---|
| 2113 | { |
---|
| 2114 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 2115 | #if defined(LDEBUG) |
---|
| 2116 | u->debug=123456; |
---|
| 2117 | #endif |
---|
[a604c3] | 2118 | mpz_init(u->z); |
---|
[e8a0aa] | 2119 | switch (b->s) |
---|
| 2120 | { |
---|
| 2121 | case 0: |
---|
| 2122 | case 1:/* a:short, b:1 */ |
---|
| 2123 | { |
---|
[a604c3] | 2124 | mpz_t x; |
---|
| 2125 | mpz_init(x); |
---|
[e8a0aa] | 2126 | |
---|
[a604c3] | 2127 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 2128 | mpz_add(u->z,b->z,x); |
---|
| 2129 | mpz_clear(x); |
---|
[e8a0aa] | 2130 | // result cannot be 0, if coeffs are normalized |
---|
[a604c3] | 2131 | mpz_init_set(u->n,b->n); |
---|
[e8a0aa] | 2132 | u->s = 0; |
---|
[18057e] | 2133 | u=nlShort1(u); |
---|
[e8a0aa] | 2134 | break; |
---|
| 2135 | } |
---|
| 2136 | case 3: |
---|
| 2137 | { |
---|
| 2138 | if ((long)a>0L) |
---|
[a604c3] | 2139 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[e8a0aa] | 2140 | else |
---|
[a604c3] | 2141 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
[e8a0aa] | 2142 | // result cannot be 0, if coeffs are normalized |
---|
| 2143 | u->s = 3; |
---|
[246d15] | 2144 | u=nlShort3_noinline(u); |
---|
[e8a0aa] | 2145 | break; |
---|
| 2146 | } |
---|
| 2147 | } |
---|
| 2148 | nlTest(u); |
---|
| 2149 | return u; |
---|
| 2150 | } |
---|
| 2151 | else |
---|
| 2152 | { |
---|
| 2153 | switch (a->s) |
---|
| 2154 | { |
---|
| 2155 | case 0: |
---|
| 2156 | case 1: |
---|
| 2157 | { |
---|
| 2158 | switch(b->s) |
---|
| 2159 | { |
---|
| 2160 | case 0: |
---|
| 2161 | case 1: /* a:1 b:1 */ |
---|
| 2162 | { |
---|
[a604c3] | 2163 | mpz_t x; |
---|
| 2164 | mpz_t y; |
---|
| 2165 | mpz_init(x); |
---|
| 2166 | mpz_init(y); |
---|
| 2167 | mpz_mul(x,b->z,a->n); |
---|
| 2168 | mpz_mul(y,a->z,b->n); |
---|
| 2169 | mpz_add(a->z,x,y); |
---|
| 2170 | mpz_clear(x); |
---|
| 2171 | mpz_clear(y); |
---|
| 2172 | mpz_mul(a->n,a->n,b->n); |
---|
[e8a0aa] | 2173 | a->s = 0; |
---|
| 2174 | break; |
---|
| 2175 | } |
---|
| 2176 | case 3: /* a:1 b:3 */ |
---|
| 2177 | { |
---|
[a604c3] | 2178 | mpz_t x; |
---|
| 2179 | mpz_init(x); |
---|
| 2180 | mpz_mul(x,b->z,a->n); |
---|
| 2181 | mpz_add(a->z,a->z,x); |
---|
| 2182 | mpz_clear(x); |
---|
[e8a0aa] | 2183 | a->s = 0; |
---|
| 2184 | break; |
---|
| 2185 | } |
---|
| 2186 | } /*switch (b->s) */ |
---|
[18057e] | 2187 | a=nlShort1(a); |
---|
[e8a0aa] | 2188 | break; |
---|
| 2189 | } |
---|
| 2190 | case 3: |
---|
| 2191 | { |
---|
| 2192 | switch(b->s) |
---|
| 2193 | { |
---|
| 2194 | case 0: |
---|
| 2195 | case 1:/* a:3, b:1 */ |
---|
| 2196 | { |
---|
[a604c3] | 2197 | mpz_t x; |
---|
| 2198 | mpz_init(x); |
---|
| 2199 | mpz_mul(x,a->z,b->n); |
---|
| 2200 | mpz_add(a->z,b->z,x); |
---|
| 2201 | mpz_clear(x); |
---|
| 2202 | mpz_init_set(a->n,b->n); |
---|
[e8a0aa] | 2203 | a->s = 0; |
---|
[18057e] | 2204 | a=nlShort1(a); |
---|
[e8a0aa] | 2205 | break; |
---|
| 2206 | } |
---|
| 2207 | case 3: |
---|
| 2208 | { |
---|
[a604c3] | 2209 | mpz_add(a->z,a->z,b->z); |
---|
[e8a0aa] | 2210 | a->s = 3; |
---|
[246d15] | 2211 | a=nlShort3_noinline(a); |
---|
[e8a0aa] | 2212 | break; |
---|
| 2213 | } |
---|
| 2214 | } |
---|
| 2215 | break; |
---|
| 2216 | } |
---|
| 2217 | } |
---|
| 2218 | nlTest(a); |
---|
| 2219 | return a; |
---|
| 2220 | } |
---|
| 2221 | } |
---|
| 2222 | |
---|
[35aab3] | 2223 | LINLINE number nlMult (number a, number b) |
---|
| 2224 | { |
---|
| 2225 | nlTest(a); |
---|
| 2226 | nlTest(b); |
---|
[246d15] | 2227 | |
---|
[35aab3] | 2228 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2229 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2230 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2231 | { |
---|
[246d15] | 2232 | LONG r=(SR_HDL(a)-1L)*(SR_HDL(b)>>1); |
---|
| 2233 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1L)) |
---|
[35aab3] | 2234 | { |
---|
| 2235 | number u=((number) ((r>>1)+SR_INT)); |
---|
[246d15] | 2236 | if (((((LONG)SR_HDL(u))<<1)>>1)==SR_HDL(u)) return (u); |
---|
[35aab3] | 2237 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2238 | } |
---|
| 2239 | return _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2240 | } |
---|
| 2241 | return _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2242 | } |
---|
| 2243 | |
---|
| 2244 | |
---|
| 2245 | /*2 |
---|
| 2246 | * u:= a - b |
---|
| 2247 | */ |
---|
| 2248 | LINLINE number nlSub (number a, number b) |
---|
| 2249 | { |
---|
| 2250 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2251 | { |
---|
[246d15] | 2252 | LONG r=SR_HDL(a)-SR_HDL(b)+1; |
---|
[35aab3] | 2253 | if ( ((r << 1) >> 1) == r ) |
---|
| 2254 | { |
---|
[246d15] | 2255 | return (number)(long)r; |
---|
[35aab3] | 2256 | } |
---|
| 2257 | else |
---|
| 2258 | return nlRInit(SR_TO_INT(r)); |
---|
| 2259 | } |
---|
| 2260 | return _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2261 | } |
---|
| 2262 | |
---|
| 2263 | #endif // DO_LINLINE |
---|
| 2264 | |
---|
| 2265 | #ifndef P_NUMBERS_H |
---|
| 2266 | |
---|
[e8a0aa] | 2267 | void nlInpGcd(number &a, number b, const ring r) |
---|
[35aab3] | 2268 | { |
---|
| 2269 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2270 | { |
---|
| 2271 | number n=nlGcd(a,b,r); |
---|
| 2272 | nlDelete(&a,r); |
---|
| 2273 | a=n; |
---|
| 2274 | } |
---|
| 2275 | else |
---|
| 2276 | { |
---|
[a604c3] | 2277 | mpz_gcd(a->z,a->z,b->z); |
---|
[246d15] | 2278 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2279 | } |
---|
| 2280 | } |
---|
[e8a0aa] | 2281 | void nlInpIntDiv(number &a, number b, const ring r) |
---|
[35aab3] | 2282 | { |
---|
| 2283 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2284 | { |
---|
| 2285 | number n=nlIntDiv(a,b); |
---|
| 2286 | nlDelete(&a,r); |
---|
| 2287 | a=n; |
---|
| 2288 | } |
---|
| 2289 | else |
---|
| 2290 | { |
---|
[a604c3] | 2291 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2292 | { |
---|
[a604c3] | 2293 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2294 | { |
---|
[a604c3] | 2295 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2296 | } |
---|
| 2297 | else |
---|
| 2298 | { |
---|
[a604c3] | 2299 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2300 | } |
---|
[a604c3] | 2301 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2302 | } |
---|
| 2303 | else |
---|
| 2304 | { |
---|
[a604c3] | 2305 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2306 | { |
---|
[a604c3] | 2307 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2308 | } |
---|
| 2309 | else |
---|
| 2310 | { |
---|
[a604c3] | 2311 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2312 | } |
---|
[a604c3] | 2313 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2314 | } |
---|
[a604c3] | 2315 | MPZ_DIV(a->z,a->z,b->z); |
---|
[246d15] | 2316 | a=nlShort3_noinline(a); |
---|
[35aab3] | 2317 | } |
---|
| 2318 | } |
---|
[e8a0aa] | 2319 | void nlInpMult(number &a, number b, const ring r) |
---|
[35aab3] | 2320 | { |
---|
| 2321 | if (((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2322 | ) |
---|
| 2323 | { |
---|
| 2324 | number n=nlMult(a,b); |
---|
| 2325 | nlDelete(&a,r); |
---|
| 2326 | a=n; |
---|
| 2327 | } |
---|
| 2328 | else |
---|
| 2329 | { |
---|
[a604c3] | 2330 | mpz_mul(a->z,a->z,b->z); |
---|
[35aab3] | 2331 | if (a->s==3) |
---|
| 2332 | { |
---|
| 2333 | if(b->s!=3) |
---|
| 2334 | { |
---|
[a604c3] | 2335 | mpz_init_set(a->n,b->n); |
---|
[35aab3] | 2336 | a->s=0; |
---|
| 2337 | } |
---|
| 2338 | } |
---|
| 2339 | else |
---|
| 2340 | { |
---|
| 2341 | if(b->s!=3) |
---|
| 2342 | { |
---|
[a604c3] | 2343 | mpz_mul(a->n,a->n,b->n); |
---|
[35aab3] | 2344 | } |
---|
| 2345 | a->s=0; |
---|
| 2346 | } |
---|
| 2347 | } |
---|
| 2348 | } |
---|
| 2349 | |
---|
[4fec74] | 2350 | number nlFarey(number nN, number nP) |
---|
[3149a5] | 2351 | { |
---|
[a604c3] | 2352 | mpz_t tmp; mpz_init(tmp); |
---|
| 2353 | mpz_t A,B,C,D,E,N,P; |
---|
| 2354 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2355 | else mpz_init_set(N,nN->z); |
---|
| 2356 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2357 | else mpz_init_set(P,nP->z); |
---|
| 2358 | assume(!mpz_isNeg(P)); |
---|
| 2359 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2360 | mpz_init_set_si(A,(long)0); |
---|
| 2361 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2362 | mpz_init_set_si(C,(long)0); |
---|
| 2363 | mpz_init(D); |
---|
| 2364 | mpz_init_set(E,P); |
---|
[3149a5] | 2365 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2366 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2367 | { |
---|
[a604c3] | 2368 | mpz_mul(tmp,N,N); |
---|
| 2369 | mpz_add(tmp,tmp,tmp); |
---|
| 2370 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2371 | { |
---|
| 2372 | // return N/B |
---|
| 2373 | z=(number)omAllocBin(rnumber_bin); |
---|
[64cce0] | 2374 | #ifdef LDEBUG |
---|
| 2375 | z->debug=123456; |
---|
| 2376 | #endif |
---|
[a604c3] | 2377 | if (mpz_isNeg(B)) |
---|
[26300d] | 2378 | { |
---|
[a604c3] | 2379 | mpz_neg(B,B); |
---|
| 2380 | mpz_neg(N,N); |
---|
[26300d] | 2381 | } |
---|
[a604c3] | 2382 | mpz_init_set(z->z,N); |
---|
| 2383 | mpz_init_set(z->n,B); |
---|
[3149a5] | 2384 | z->s = 0; |
---|
| 2385 | nlNormalize(z); |
---|
| 2386 | break; |
---|
| 2387 | } |
---|
[a604c3] | 2388 | mpz_mod(D,E,N); |
---|
| 2389 | mpz_div(tmp,E,N); |
---|
| 2390 | mpz_mul(tmp,tmp,B); |
---|
| 2391 | mpz_sub(C,A,tmp); |
---|
| 2392 | mpz_set(E,N); |
---|
| 2393 | mpz_set(N,D); |
---|
| 2394 | mpz_set(A,B); |
---|
| 2395 | mpz_set(B,C); |
---|
| 2396 | } |
---|
| 2397 | mpz_clear(tmp); |
---|
| 2398 | mpz_clear(A); |
---|
| 2399 | mpz_clear(B); |
---|
| 2400 | mpz_clear(C); |
---|
| 2401 | mpz_clear(D); |
---|
| 2402 | mpz_clear(E); |
---|
| 2403 | mpz_clear(N); |
---|
| 2404 | mpz_clear(P); |
---|
[3149a5] | 2405 | return z; |
---|
| 2406 | } |
---|
[35aab3] | 2407 | #if 0 |
---|
| 2408 | number nlMod(number a, number b) |
---|
| 2409 | { |
---|
| 2410 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2411 | { |
---|
| 2412 | int bi=SR_TO_INT(b); |
---|
| 2413 | int ai=SR_TO_INT(a); |
---|
| 2414 | int bb=ABS(bi); |
---|
| 2415 | int c=ai%bb; |
---|
| 2416 | if (c<0) c+=bb; |
---|
| 2417 | return (INT_TO_SR(c)); |
---|
| 2418 | } |
---|
| 2419 | number al; |
---|
| 2420 | number bl; |
---|
| 2421 | if (SR_HDL(a))&SR_INT) |
---|
| 2422 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2423 | else |
---|
| 2424 | al=nlCopy(a); |
---|
| 2425 | if (SR_HDL(b))&SR_INT) |
---|
| 2426 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2427 | else |
---|
| 2428 | bl=nlCopy(b); |
---|
| 2429 | number r=nlRInit(0); |
---|
| 2430 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2431 | nlDelete(&al); |
---|
| 2432 | nlDelete(&bl); |
---|
| 2433 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2434 | { |
---|
[246d15] | 2435 | LONG ui=(int)mpz_get_si(&r->z); |
---|
[35aab3] | 2436 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2437 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2438 | { |
---|
| 2439 | mpz_clear(&r->z); |
---|
| 2440 | omFreeBin((ADDRESS)r, rnumber_bin); |
---|
| 2441 | r=INT_TO_SR(ui); |
---|
| 2442 | } |
---|
| 2443 | } |
---|
| 2444 | return r; |
---|
| 2445 | } |
---|
| 2446 | #endif |
---|
| 2447 | #endif // not P_NUMBERS_H |
---|
| 2448 | #endif // LONGRAT_CC |
---|