[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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| 9 | #ifndef LONGRAT_CC |
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| 10 | #define LONGRAT_CC |
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| 11 | |
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| 12 | #include <string.h> |
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| 13 | #include <float.h> |
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[599326] | 14 | #include <kernel/mod2.h> |
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| 15 | #include <kernel/structs.h> |
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| 16 | #include <omalloc.h> |
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| 17 | #include <kernel/febase.h> |
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| 18 | #include <kernel/numbers.h> |
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| 19 | #include <kernel/modulop.h> |
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| 20 | #include <kernel/ring.h> |
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| 21 | #include <kernel/shortfl.h> |
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| 22 | #include <kernel/mpr_complex.h> |
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| 23 | #include <kernel/longrat.h> |
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[35aab3] | 24 | |
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| 25 | |
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| 26 | #ifndef BYTES_PER_MP_LIMB |
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| 27 | #define BYTES_PER_MP_LIMB sizeof(mp_limb_t) |
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| 28 | #endif |
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| 29 | |
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| 30 | /*-----------------------------------------------------------------*/ |
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| 31 | /*3 |
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| 32 | * parameter s in number: |
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| 33 | * 0 (or FALSE): not normalised rational |
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| 34 | * 1 (or TRUE): normalised rational |
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| 35 | * 3 : integer with n==NULL |
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| 36 | */ |
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| 37 | /*3 |
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| 38 | ** 'SR_INT' is the type of those integers small enough to fit into 29 bits. |
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| 39 | ** Therefor the value range of this small integers is: $-2^{28}...2^{28}-1$. |
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| 40 | ** |
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| 41 | ** Small integers are represented by an immediate integer handle, containing |
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| 42 | ** the value instead of pointing to it, which has the following form: |
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| 43 | ** |
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| 44 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 45 | ** | guard | sign | bit | bit | | bit | tag | tag | |
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| 46 | ** | bit | bit | 27 | 26 | | 0 | 0 | 1 | |
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| 47 | ** +-------+-------+-------+-------+- - - -+-------+-------+-------+ |
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| 48 | ** |
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| 49 | ** Immediate integers handles carry the tag 'SR_INT', i.e. the last bit is 1. |
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| 50 | ** This distuingishes immediate integers from other handles which point to |
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| 51 | ** structures aligned on 4 byte boundaries and therefor have last bit zero. |
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| 52 | ** (The second bit is reserved as tag to allow extensions of this scheme.) |
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| 53 | ** Using immediates as pointers and dereferencing them gives address errors. |
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| 54 | ** |
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| 55 | ** To aid overflow check the most significant two bits must always be equal, |
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| 56 | ** that is to say that the sign bit of immediate integers has a guard bit. |
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| 57 | ** |
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| 58 | ** The macros 'INT_TO_SR' and 'SR_TO_INT' should be used to convert between |
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| 59 | ** a small integer value and its representation as immediate integer handle. |
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| 60 | ** |
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| 61 | ** Large integers and rationals are represented by z and n |
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| 62 | ** where n may be undefined (if s==3) |
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| 63 | ** NULL represents only deleted values |
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| 64 | */ |
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| 65 | #define SR_HDL(A) ((long)(A)) |
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[46f6af6] | 66 | /*#define SR_INT 1L*/ |
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[35aab3] | 67 | /*#define INT_TO_SR(INT) ((number) (((long)INT << 2) + SR_INT))*/ |
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| 68 | // #define SR_TO_INT(SR) (((long)SR) >> 2) |
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| 69 | |
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| 70 | #define MP_SMALL 1 |
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| 71 | //#define mpz_isNeg(A) (mpz_cmp_si(A,(long)0)<0) |
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| 72 | #define mpz_isNeg(A) ((A)->_mp_size<0) |
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| 73 | #define mpz_limb_size(A) ((A)->_mp_size) |
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| 74 | #define mpz_limb_d(A) ((A)->_mp_d) |
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| 75 | #define MPZ_DIV(A,B,C) mpz_tdiv_q((A),(B),(C)) |
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| 76 | #define MPZ_EXACTDIV(A,B,C) mpz_divexact((A),(B),(C)) |
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| 77 | |
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[106406] | 78 | void _nlDelete_NoImm(number *a); |
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[35aab3] | 79 | |
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| 80 | /*************************************************************** |
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| 81 | * |
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| 82 | * Routines which are never inlined by p_Numbers.h |
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| 83 | * |
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| 84 | *******************************************************************/ |
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| 85 | #ifndef P_NUMBERS_H |
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| 86 | |
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| 87 | omBin rnumber_bin = omGetSpecBin(sizeof(snumber)); |
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| 88 | |
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[eb059c5] | 89 | number nlOne=INT_TO_SR(1); |
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[35aab3] | 90 | |
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| 91 | #if (__GNU_MP_VERSION*10+__GNU_MP_VERSION_MINOR < 31) |
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| 92 | void mpz_mul_si (mpz_ptr r, mpz_srcptr s, long int si) |
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| 93 | { |
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| 94 | if (si>=0) |
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| 95 | mpz_mul_ui(r,s,si); |
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| 96 | else |
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| 97 | { |
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| 98 | mpz_mul_ui(r,s,-si); |
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| 99 | mpz_neg(r,r); |
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| 100 | } |
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| 101 | } |
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| 102 | #endif |
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| 103 | |
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[cf74cd6] | 104 | static ring nlMapRing; |
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[35aab3] | 105 | static number nlMapP(number from) |
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| 106 | { |
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| 107 | number to; |
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[8391d8] | 108 | to = nlInit(npInt(from,nlMapRing), currRing); |
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[35aab3] | 109 | return to; |
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| 110 | } |
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| 111 | |
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| 112 | static number nlMapLongR(number from); |
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| 113 | static number nlMapR(number from); |
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| 114 | |
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[894f5b1] | 115 | #ifdef HAVE_RINGS |
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| 116 | /*2 |
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| 117 | * convert from a GMP integer |
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| 118 | */ |
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| 119 | number nlMapGMP(number from) |
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| 120 | { |
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| 121 | number z=(number)omAllocBin(rnumber_bin); |
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| 122 | #if defined(LDEBUG) |
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| 123 | z->debug=123456; |
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| 124 | #endif |
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[a604c3] | 125 | mpz_init_set(z->z,(mpz_ptr) from); |
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[20704f] | 126 | //mpz_init_set_ui(&z->n,1); |
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[894f5b1] | 127 | z->s = 3; |
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[a604c3] | 128 | if ((mpz_cmp_ui(z->z,(long)0)==0) |
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| 129 | || (mpz_size1(z->z)<=MP_SMALL)) |
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[196b4b] | 130 | { |
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[a604c3] | 131 | int ui=(int)mpz_get_si(z->z); |
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[196b4b] | 132 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 133 | && (mpz_cmp_si(z->z,(long)ui)==0)) |
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[196b4b] | 134 | { |
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[a604c3] | 135 | mpz_clear(z->z); |
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[196b4b] | 136 | omFreeBin((ADDRESS)z, rnumber_bin); |
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| 137 | return INT_TO_SR(ui); |
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| 138 | } |
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| 139 | } |
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[894f5b1] | 140 | return z; |
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| 141 | } |
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| 142 | |
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| 143 | /*2 |
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| 144 | * convert from an machine long |
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| 145 | */ |
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| 146 | number nlMapMachineInt(number from) |
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| 147 | { |
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| 148 | number z=(number)omAllocBin(rnumber_bin); |
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| 149 | #if defined(LDEBUG) |
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| 150 | z->debug=123456; |
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| 151 | #endif |
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[a604c3] | 152 | mpz_init_set_ui(z->z,(unsigned long) from); |
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[894f5b1] | 153 | z->s = 3; |
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[a604c3] | 154 | if ((mpz_cmp_ui(z->z,(long)0)==0) |
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| 155 | || (mpz_size1(z->z)<=MP_SMALL)) |
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[196b4b] | 156 | { |
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[a604c3] | 157 | int ui=(int)mpz_get_si(z->z); |
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[196b4b] | 158 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 159 | && (mpz_cmp_si(z->z,(long)ui)==0)) |
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[196b4b] | 160 | { |
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[a604c3] | 161 | mpz_clear(z->z); |
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[196b4b] | 162 | omFreeBin((ADDRESS)z, rnumber_bin); |
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| 163 | return INT_TO_SR(ui); |
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| 164 | } |
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| 165 | } |
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[894f5b1] | 166 | return z; |
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| 167 | } |
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| 168 | #endif |
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| 169 | |
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[208e0c] | 170 | nMapFunc nlSetMap(const ring src, const ring dst) |
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[35aab3] | 171 | { |
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| 172 | if (rField_is_Q(src)) |
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| 173 | { |
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| 174 | return nlCopy; |
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| 175 | } |
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[cf74cd6] | 176 | nlMapRing=src; |
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[35aab3] | 177 | if (rField_is_Zp(src)) |
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| 178 | { |
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| 179 | return nlMapP; |
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| 180 | } |
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| 181 | if (rField_is_R(src)) |
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| 182 | { |
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| 183 | return nlMapR; |
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| 184 | } |
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| 185 | if (rField_is_long_R(src)) |
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| 186 | { |
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| 187 | return nlMapLongR; /* long R -> Q */ |
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| 188 | } |
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[894f5b1] | 189 | #ifdef HAVE_RINGS |
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| 190 | if (rField_is_Ring_Z(src) || rField_is_Ring_PtoM(src) || rField_is_Ring_ModN(src)) |
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| 191 | { |
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| 192 | return nlMapGMP; |
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| 193 | } |
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| 194 | if (rField_is_Ring_2toM(src)) |
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| 195 | { |
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| 196 | return nlMapMachineInt; |
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| 197 | } |
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| 198 | #endif |
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[35aab3] | 199 | return NULL; |
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| 200 | } |
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| 201 | |
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| 202 | #ifdef LDEBUG |
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[85e68dd] | 203 | BOOLEAN nlDBTest(number a, const char *f,const int l) |
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[35aab3] | 204 | { |
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| 205 | if (a==NULL) |
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| 206 | { |
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| 207 | Print("!!longrat: NULL in %s:%d\n",f,l); |
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| 208 | return FALSE; |
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| 209 | } |
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| 210 | //if ((int)a==1) Print("!! 0x1 as number ? %s %d\n",f,l); |
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[7447d8] | 211 | if ((((long)a)&3L)==3L) |
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[35aab3] | 212 | { |
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| 213 | Print(" !!longrat:ptr(3) in %s:%d\n",f,l); |
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| 214 | return FALSE; |
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| 215 | } |
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[7447d8] | 216 | if ((((long)a)&3L)==1L) |
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[35aab3] | 217 | { |
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[7447d8] | 218 | if (((((long)a)<<1)>>1)!=((long)a)) |
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[35aab3] | 219 | { |
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[2132395] | 220 | Print(" !!longrat:arith:%lx in %s:%d\n",(long)a, f,l); |
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[35aab3] | 221 | return FALSE; |
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| 222 | } |
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| 223 | return TRUE; |
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| 224 | } |
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| 225 | omCheckIf(omCheckAddrSize(a,sizeof(*a)), return FALSE); |
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| 226 | if (a->debug!=123456) |
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| 227 | { |
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| 228 | Print("!!longrat:debug:%d in %s:%d\n",a->debug,f,l); |
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| 229 | a->debug=123456; |
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| 230 | return FALSE; |
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| 231 | } |
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| 232 | if ((a->s<0)||(a->s>4)) |
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| 233 | { |
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| 234 | Print("!!longrat:s=%d in %s:%d\n",a->s,f,l); |
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| 235 | return FALSE; |
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| 236 | } |
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[a604c3] | 237 | omCheckAddrSize(a->z[0]._mp_d,a->z[0]._mp_alloc*BYTES_PER_MP_LIMB); |
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| 238 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 239 | Print("!!longrat:z->alloc=0 in %s:%d\n",f,l); |
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[35aab3] | 240 | |
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| 241 | if (a->s<2) |
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| 242 | { |
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[a604c3] | 243 | omCheckIf(omCheckAddrSize(a->n[0]._mp_d,a->n[0]._mp_alloc*BYTES_PER_MP_LIMB), return FALSE); |
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| 244 | if (a->z[0]._mp_alloc==0) |
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[2132395] | 245 | Print("!!longrat:n->alloc=0 in %s:%d\n",f,l); |
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[a604c3] | 246 | if ((mpz_size1(a->n) ==1) && (mpz_cmp_si(a->n,(long)1)==0)) |
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[35aab3] | 247 | { |
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| 248 | Print("!!longrat:integer as rational in %s:%d\n",f,l); |
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| 249 | return FALSE; |
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| 250 | } |
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[a604c3] | 251 | else if (mpz_isNeg(a->n)) |
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[35aab3] | 252 | { |
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| 253 | Print("!!longrat:div. by negative in %s:%d\n",f,l); |
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[a604c3] | 254 | mpz_neg(a->z,a->z); |
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| 255 | mpz_neg(a->n,a->n); |
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[35aab3] | 256 | return FALSE; |
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| 257 | } |
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| 258 | return TRUE; |
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| 259 | } |
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| 260 | if (a->s==2) |
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| 261 | { |
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| 262 | Print("!!longrat:s=2 in %s:%d\n",f,l); |
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| 263 | return FALSE; |
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| 264 | } |
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[a604c3] | 265 | if (mpz_size1(a->z)>MP_SMALL) return TRUE; |
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| 266 | int ui=(int)mpz_get_si(a->z); |
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[35aab3] | 267 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 268 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
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[35aab3] | 269 | { |
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| 270 | Print("!!longrat:im int %d in %s:%d\n",ui,f,l); |
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| 271 | f=NULL; |
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| 272 | return FALSE; |
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| 273 | } |
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| 274 | return TRUE; |
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| 275 | } |
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| 276 | #endif |
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| 277 | |
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| 278 | number nlRInit (int i); |
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| 279 | |
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| 280 | static number nlMapR(number from) |
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| 281 | { |
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| 282 | double f=nrFloat(from); |
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[eb059c5] | 283 | if (f==0.0) return INT_TO_SR(0); |
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[35aab3] | 284 | int f_sign=1; |
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| 285 | if (f<0.0) |
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| 286 | { |
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| 287 | f_sign=-1; |
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| 288 | f=-f; |
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| 289 | } |
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| 290 | int i=0; |
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| 291 | mpz_t h1; |
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| 292 | mpz_init_set_ui(h1,1); |
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| 293 | while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 294 | { |
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| 295 | f*=FLT_RADIX; |
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| 296 | mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 297 | i++; |
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| 298 | } |
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| 299 | number r=nlRInit(1); |
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[a604c3] | 300 | mpz_set_d(r->z,f); |
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[35aab3] | 301 | memcpy4(&(r->n),&h1,sizeof(h1)); |
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| 302 | r->s=0; /* not normalized */ |
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[3ec923] | 303 | if(f_sign==-1) r=nlNeg(r); |
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[35aab3] | 304 | nlNormalize(r); |
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| 305 | return r; |
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| 306 | } |
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| 307 | |
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| 308 | static number nlMapLongR(number from) |
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| 309 | { |
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| 310 | gmp_float *ff=(gmp_float*)from; |
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| 311 | mpf_t *f=ff->_mpfp(); |
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| 312 | number res; |
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[a604c3] | 313 | mpz_ptr dest,ndest; |
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[35aab3] | 314 | int size, i,negative; |
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| 315 | int e,al,bl; |
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| 316 | mp_ptr qp,dd,nn; |
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| 317 | |
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| 318 | size = (*f)[0]._mp_size; |
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| 319 | if (size == 0) |
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[eb059c5] | 320 | return INT_TO_SR(0); |
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[35aab3] | 321 | if(size<0) |
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| 322 | { |
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| 323 | negative = 1; |
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| 324 | size = -size; |
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| 325 | } |
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| 326 | else |
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| 327 | negative = 0; |
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| 328 | |
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| 329 | qp = (*f)[0]._mp_d; |
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| 330 | while(qp[0]==0) |
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| 331 | { |
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| 332 | qp++; |
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| 333 | size--; |
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| 334 | } |
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| 335 | |
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| 336 | e=(*f)[0]._mp_exp-size; |
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| 337 | res = (number)omAllocBin(rnumber_bin); |
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| 338 | #if defined(LDEBUG) |
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| 339 | res->debug=123456; |
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| 340 | #endif |
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[a604c3] | 341 | dest = res->z; |
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[35aab3] | 342 | |
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| 343 | if (e<0) |
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| 344 | { |
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| 345 | al = dest->_mp_size = size; |
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| 346 | if (al<2) al = 2; |
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| 347 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 348 | for (i=0;i<size;i++) dd[i] = qp[i]; |
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| 349 | bl = 1-e; |
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| 350 | nn = (mp_ptr)omAlloc(sizeof(mp_limb_t)*bl); |
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| 351 | nn[bl-1] = 1; |
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| 352 | for (i=bl-2;i>=0;i--) nn[i] = 0; |
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[a604c3] | 353 | ndest = res->n; |
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[35aab3] | 354 | ndest->_mp_d = nn; |
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| 355 | ndest->_mp_alloc = ndest->_mp_size = bl; |
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| 356 | res->s = 0; |
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| 357 | } |
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| 358 | else |
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| 359 | { |
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| 360 | al = dest->_mp_size = size+e; |
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| 361 | if (al<2) al = 2; |
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| 362 | dd = (mp_ptr)omAlloc(sizeof(mp_limb_t)*al); |
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| 363 | for (i=0;i<size;i++) dd[i+e] = qp[i]; |
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| 364 | for (i=0;i<e;i++) dd[i] = 0; |
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| 365 | res->s = 3; |
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| 366 | } |
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| 367 | |
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| 368 | dest->_mp_d = dd; |
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| 369 | dest->_mp_alloc = al; |
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| 370 | if (negative) dest->_mp_size = -dest->_mp_size; |
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| 371 | |
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| 372 | if (res->s==0) |
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| 373 | nlNormalize(res); |
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[a604c3] | 374 | else if (mpz_size1(res->z)<=MP_SMALL) |
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[35aab3] | 375 | { |
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| 376 | // res is new, res->ref is 1 |
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[a604c3] | 377 | int ui=(int)mpz_get_si(res->z); |
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[35aab3] | 378 | if ((((ui<<3)>>3)==ui) |
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[a604c3] | 379 | && (mpz_cmp_si(res->z,(long)ui)==0)) |
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[35aab3] | 380 | { |
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[a604c3] | 381 | mpz_clear(res->z); |
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[35aab3] | 382 | #if defined(LDEBUG) |
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| 383 | res->debug=654324; |
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| 384 | #endif |
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| 385 | omFreeBin((ADDRESS)res, rnumber_bin); |
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| 386 | return INT_TO_SR(ui); |
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| 387 | } |
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| 388 | } |
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| 389 | #if defined(LDEBUG) |
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| 390 | nlTest(res); |
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| 391 | #endif |
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| 392 | return res; |
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| 393 | } |
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| 394 | |
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| 395 | //static number nlMapLongR(number from) |
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| 396 | //{ |
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| 397 | // gmp_float *ff=(gmp_float*)from; |
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| 398 | // const mpf_t *f=ff->mpfp(); |
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| 399 | // int f_size=ABS((*f)[0]._mp_size); |
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| 400 | // if (f_size==0) |
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| 401 | // return nlInit(0); |
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| 402 | // int f_sign=1; |
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| 403 | // number work=ngcCopy(from); |
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| 404 | // if (!ngcGreaterZero(work)) |
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| 405 | // { |
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| 406 | // f_sign=-1; |
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| 407 | // work=ngcNeg(work); |
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| 408 | // } |
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| 409 | // int i=0; |
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| 410 | // mpz_t h1; |
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| 411 | // mpz_init_set_ui(h1,1); |
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| 412 | // while((FLT_RADIX*f) < DBL_MAX && i<DBL_MANT_DIG) |
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| 413 | // { |
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| 414 | // f*=FLT_RADIX; |
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| 415 | // mpz_mul_ui(h1,h1,FLT_RADIX); |
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| 416 | // i++; |
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| 417 | // } |
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| 418 | // number r=nlRInit(1); |
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| 419 | // mpz_set_d(&(r->z),f); |
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| 420 | // memcpy4(&(r->n),&h1,sizeof(h1)); |
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| 421 | // r->s=0; /* not normalized */ |
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| 422 | // nlNormalize(r); |
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| 423 | // return r; |
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| 424 | // |
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| 425 | // |
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| 426 | // number r=nlRInit(1); |
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| 427 | // int f_shift=f_size+(*f)[0]._mp_exp; |
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| 428 | // if ( f_shift > 0) |
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| 429 | // { |
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| 430 | // r->s=0; |
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| 431 | // mpz_init(&r->n); |
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| 432 | // mpz_setbit(&r->n,f_shift*BYTES_PER_MP_LIMB*8); |
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| 433 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
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| 434 | // // now r->z has enough space |
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| 435 | // memcpy4(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
| 436 | // nlNormalize(r); |
---|
| 437 | // } |
---|
| 438 | // else |
---|
| 439 | // { |
---|
| 440 | // r->s=3; |
---|
| 441 | // if (f_shift==0) |
---|
| 442 | // { |
---|
| 443 | // mpz_setbit(&r->z,f_size*BYTES_PER_MP_LIMB*8-1); |
---|
| 444 | // // now r->z has enough space |
---|
| 445 | // memcpy4(mpz_limb_d(&r->z),((*f)[0]._mp_d),f_size*BYTES_PER_MP_LIMB); |
---|
| 446 | // } |
---|
| 447 | // else /* f_shift < 0 */ |
---|
| 448 | // { |
---|
| 449 | // mpz_setbit(&r->z,(f_size-f_shift)*BYTES_PER_MP_LIMB*8-1); |
---|
| 450 | // // now r->z has enough space |
---|
| 451 | // memcpy4(mpz_limb_d(&r->z)-f_shift,((*f)[0]._mp_d), |
---|
| 452 | // f_size*BYTES_PER_MP_LIMB); |
---|
| 453 | // } |
---|
| 454 | // } |
---|
| 455 | // if ((*f)[0]._mp_size<0); |
---|
| 456 | // r=nlNeg(r); |
---|
| 457 | // return r; |
---|
| 458 | //} |
---|
| 459 | |
---|
| 460 | int nlSize(number a) |
---|
| 461 | { |
---|
| 462 | if (a==INT_TO_SR(0)) |
---|
| 463 | return 0; /* rational 0*/ |
---|
| 464 | if (SR_HDL(a) & SR_INT) |
---|
| 465 | return 1; /* immidiate int */ |
---|
[a604c3] | 466 | int s=a->z[0]._mp_alloc; |
---|
[790096] | 467 | // while ((s>0) &&(a->z._mp_d[s]==0L)) s--; |
---|
[e08bce] | 468 | //#if SIZEOF_LONG == 8 |
---|
| 469 | // if (a->z._mp_d[s] < (unsigned long)0x100000000L) s=s*2-1; |
---|
| 470 | // else s *=2; |
---|
| 471 | //#endif |
---|
[790096] | 472 | // s++; |
---|
[35aab3] | 473 | if (a->s<2) |
---|
| 474 | { |
---|
[a604c3] | 475 | int d=a->n[0]._mp_alloc; |
---|
[790096] | 476 | // while ((d>0) && (a->n._mp_d[d]==0L)) d--; |
---|
[e08bce] | 477 | //#if SIZEOF_LONG == 8 |
---|
| 478 | // if (a->n._mp_d[d] < (unsigned long)0x100000000L) d=d*2-1; |
---|
| 479 | // else d *=2; |
---|
| 480 | //#endif |
---|
[1da0b5] | 481 | s+=d; |
---|
[35aab3] | 482 | } |
---|
| 483 | return s; |
---|
| 484 | } |
---|
| 485 | |
---|
| 486 | /*2 |
---|
| 487 | * convert number to int |
---|
| 488 | */ |
---|
[cf74cd6] | 489 | int nlInt(number &i, const ring r) |
---|
[35aab3] | 490 | { |
---|
| 491 | #ifdef LDEBUG |
---|
| 492 | nlTest(i); |
---|
| 493 | #endif |
---|
| 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 | #ifdef LDEBUG |
---|
| 523 | nlTest(i); |
---|
| 524 | #endif |
---|
| 525 | nlNormalize(i); |
---|
| 526 | if (SR_HDL(i) &SR_INT) return (i); |
---|
| 527 | if (i->s==3) |
---|
| 528 | { |
---|
| 529 | return nlCopy(i); |
---|
| 530 | } |
---|
| 531 | number tmp=nlRInit(1); |
---|
[a604c3] | 532 | MPZ_DIV(tmp->z,i->z,i->n); |
---|
[7f7573] | 533 | nlNormalize(tmp); |
---|
| 534 | return tmp; |
---|
| 535 | } |
---|
| 536 | |
---|
[35aab3] | 537 | /* |
---|
| 538 | * 1/a |
---|
| 539 | */ |
---|
| 540 | number nlInvers(number a) |
---|
| 541 | { |
---|
| 542 | #ifdef LDEBUG |
---|
| 543 | nlTest(a); |
---|
| 544 | #endif |
---|
| 545 | number n; |
---|
| 546 | if (SR_HDL(a) & SR_INT) |
---|
| 547 | { |
---|
| 548 | if ((a==INT_TO_SR(1)) || (a==INT_TO_SR(-1))) |
---|
| 549 | { |
---|
| 550 | return a; |
---|
| 551 | } |
---|
| 552 | if (nlIsZero(a)) |
---|
| 553 | { |
---|
[b7e838] | 554 | WerrorS(nDivBy0); |
---|
[35aab3] | 555 | return INT_TO_SR(0); |
---|
| 556 | } |
---|
| 557 | n=(number)omAllocBin(rnumber_bin); |
---|
| 558 | #if defined(LDEBUG) |
---|
| 559 | n->debug=123456; |
---|
| 560 | #endif |
---|
| 561 | n->s=1; |
---|
[7447d8] | 562 | if ((long)a>0L) |
---|
[35aab3] | 563 | { |
---|
[a604c3] | 564 | mpz_init_set_si(n->z,(long)1); |
---|
| 565 | mpz_init_set_si(n->n,(long)SR_TO_INT(a)); |
---|
[35aab3] | 566 | } |
---|
| 567 | else |
---|
| 568 | { |
---|
[a604c3] | 569 | mpz_init_set_si(n->z,(long)-1); |
---|
| 570 | mpz_init_set_si(n->n,(long)-SR_TO_INT(a)); |
---|
[35aab3] | 571 | } |
---|
| 572 | #ifdef LDEBUG |
---|
| 573 | nlTest(n); |
---|
| 574 | #endif |
---|
| 575 | return n; |
---|
| 576 | } |
---|
| 577 | n=(number)omAllocBin(rnumber_bin); |
---|
| 578 | #if defined(LDEBUG) |
---|
| 579 | n->debug=123456; |
---|
| 580 | #endif |
---|
| 581 | { |
---|
| 582 | n->s=a->s; |
---|
[a604c3] | 583 | mpz_init_set(n->n,a->z); |
---|
[35aab3] | 584 | switch (a->s) |
---|
| 585 | { |
---|
| 586 | case 0: |
---|
| 587 | case 1: |
---|
[a604c3] | 588 | mpz_init_set(n->z,a->n); |
---|
| 589 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 590 | { |
---|
[a604c3] | 591 | mpz_neg(n->z,n->z); |
---|
| 592 | mpz_neg(n->n,n->n); |
---|
[35aab3] | 593 | } |
---|
[a604c3] | 594 | if (mpz_cmp_si(n->n,(long)1)==0) |
---|
[35aab3] | 595 | { |
---|
[a604c3] | 596 | mpz_clear(n->n); |
---|
[35aab3] | 597 | n->s=3; |
---|
[a604c3] | 598 | if (mpz_size1(n->z)<=MP_SMALL) |
---|
[35aab3] | 599 | { |
---|
[a604c3] | 600 | int ui=(int)mpz_get_si(n->z); |
---|
[35aab3] | 601 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 602 | && (mpz_cmp_si(n->z,(long)ui)==0)) |
---|
[35aab3] | 603 | { |
---|
[a604c3] | 604 | mpz_clear(n->z); |
---|
[35aab3] | 605 | #if defined(LDEBUG) |
---|
| 606 | n->debug=654324; |
---|
| 607 | #endif |
---|
| 608 | omFreeBin((ADDRESS)n, rnumber_bin); |
---|
| 609 | n=INT_TO_SR(ui); |
---|
| 610 | } |
---|
| 611 | } |
---|
| 612 | } |
---|
| 613 | break; |
---|
| 614 | case 3: |
---|
| 615 | n->s=1; |
---|
[a604c3] | 616 | if (mpz_isNeg(n->n)) /* && n->s<2*/ |
---|
[35aab3] | 617 | { |
---|
[a604c3] | 618 | mpz_neg(n->n,n->n); |
---|
| 619 | mpz_init_set_si(n->z,(long)-1); |
---|
[35aab3] | 620 | } |
---|
| 621 | else |
---|
| 622 | { |
---|
[a604c3] | 623 | mpz_init_set_si(n->z,(long)1); |
---|
[35aab3] | 624 | } |
---|
| 625 | break; |
---|
| 626 | } |
---|
| 627 | } |
---|
| 628 | #ifdef LDEBUG |
---|
| 629 | nlTest(n); |
---|
| 630 | #endif |
---|
| 631 | return n; |
---|
| 632 | } |
---|
| 633 | |
---|
| 634 | |
---|
| 635 | /*2 |
---|
| 636 | * u := a / b in Z, if b | a (else undefined) |
---|
| 637 | */ |
---|
| 638 | number nlExactDiv(number a, number b) |
---|
| 639 | { |
---|
| 640 | if (b==INT_TO_SR(0)) |
---|
| 641 | { |
---|
[b7e838] | 642 | WerrorS(nDivBy0); |
---|
[35aab3] | 643 | return INT_TO_SR(0); |
---|
| 644 | } |
---|
| 645 | if (a==INT_TO_SR(0)) |
---|
| 646 | return INT_TO_SR(0); |
---|
| 647 | number u; |
---|
| 648 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 649 | { |
---|
| 650 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
| 651 | if ((a==INT_TO_SR(-(1<<28)))&&(b==INT_TO_SR(-1))) |
---|
| 652 | { |
---|
| 653 | return nlRInit(1<<28); |
---|
| 654 | } |
---|
| 655 | int aa=SR_TO_INT(a); |
---|
| 656 | int bb=SR_TO_INT(b); |
---|
| 657 | return INT_TO_SR(aa/bb); |
---|
| 658 | } |
---|
| 659 | number bb=NULL; |
---|
| 660 | if (SR_HDL(b) & SR_INT) |
---|
| 661 | { |
---|
| 662 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 663 | b=bb; |
---|
| 664 | } |
---|
| 665 | u=(number)omAllocBin(rnumber_bin); |
---|
| 666 | #if defined(LDEBUG) |
---|
| 667 | u->debug=123456; |
---|
| 668 | #endif |
---|
[a604c3] | 669 | mpz_init(u->z); |
---|
[35aab3] | 670 | /* u=a/b */ |
---|
| 671 | u->s = 3; |
---|
[a604c3] | 672 | MPZ_EXACTDIV(u->z,a->z,b->z); |
---|
[35aab3] | 673 | if (bb!=NULL) |
---|
| 674 | { |
---|
[a604c3] | 675 | mpz_clear(bb->z); |
---|
[35aab3] | 676 | #if defined(LDEBUG) |
---|
| 677 | bb->debug=654324; |
---|
| 678 | #endif |
---|
| 679 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 680 | } |
---|
[a604c3] | 681 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 682 | { |
---|
[a604c3] | 683 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 684 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 685 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 686 | { |
---|
[a604c3] | 687 | mpz_clear(u->z); |
---|
[35aab3] | 688 | #if defined(LDEBUG) |
---|
| 689 | u->debug=654324; |
---|
| 690 | #endif |
---|
| 691 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 692 | u=INT_TO_SR(ui); |
---|
| 693 | } |
---|
| 694 | } |
---|
| 695 | #ifdef LDEBUG |
---|
| 696 | nlTest(u); |
---|
| 697 | #endif |
---|
| 698 | return u; |
---|
| 699 | } |
---|
| 700 | |
---|
| 701 | /*2 |
---|
| 702 | * u := a / b in Z |
---|
| 703 | */ |
---|
| 704 | number nlIntDiv (number a, number b) |
---|
| 705 | { |
---|
| 706 | if (b==INT_TO_SR(0)) |
---|
| 707 | { |
---|
[b7e838] | 708 | WerrorS(nDivBy0); |
---|
[35aab3] | 709 | return INT_TO_SR(0); |
---|
| 710 | } |
---|
| 711 | if (a==INT_TO_SR(0)) |
---|
| 712 | return INT_TO_SR(0); |
---|
| 713 | number u; |
---|
| 714 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 715 | { |
---|
| 716 | /* the small int -(1<<28) divided by -1 is the large int (1<<28) */ |
---|
| 717 | if ((a==INT_TO_SR(-(1<<28)))&&(b==INT_TO_SR(-1))) |
---|
| 718 | { |
---|
| 719 | return nlRInit(1<<28); |
---|
| 720 | } |
---|
| 721 | int aa=SR_TO_INT(a); |
---|
| 722 | int bb=SR_TO_INT(b); |
---|
[bb9a5a] | 723 | return INT_TO_SR(aa/bb); |
---|
[35aab3] | 724 | } |
---|
| 725 | if (SR_HDL(a) & SR_INT) |
---|
| 726 | { |
---|
| 727 | /* the small int -(1<<28) divided by 2^28 is 1 */ |
---|
| 728 | if (a==INT_TO_SR(-(1<<28))) |
---|
| 729 | { |
---|
[a604c3] | 730 | if(mpz_cmp_si(b->z,(long)(1<<28))==0) |
---|
[35aab3] | 731 | { |
---|
| 732 | return INT_TO_SR(-1); |
---|
| 733 | } |
---|
| 734 | } |
---|
| 735 | /* a is a small and b is a large int: -> 0 */ |
---|
| 736 | return INT_TO_SR(0); |
---|
| 737 | } |
---|
| 738 | number bb=NULL; |
---|
| 739 | if (SR_HDL(b) & SR_INT) |
---|
| 740 | { |
---|
| 741 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 742 | b=bb; |
---|
| 743 | } |
---|
| 744 | u=(number)omAllocBin(rnumber_bin); |
---|
| 745 | #if defined(LDEBUG) |
---|
| 746 | u->debug=123456; |
---|
| 747 | #endif |
---|
[98bda9] | 748 | assume(a->s==3); |
---|
| 749 | assume(b->s==3); |
---|
[a604c3] | 750 | mpz_init_set(u->z,a->z); |
---|
[35aab3] | 751 | /* u=u/b */ |
---|
| 752 | u->s = 3; |
---|
[a604c3] | 753 | MPZ_DIV(u->z,u->z,b->z); |
---|
[35aab3] | 754 | if (bb!=NULL) |
---|
| 755 | { |
---|
[a604c3] | 756 | mpz_clear(bb->z); |
---|
[35aab3] | 757 | #if defined(LDEBUG) |
---|
| 758 | bb->debug=654324; |
---|
| 759 | #endif |
---|
| 760 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 761 | } |
---|
[a604c3] | 762 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 763 | { |
---|
[a604c3] | 764 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 765 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 766 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 767 | { |
---|
[a604c3] | 768 | mpz_clear(u->z); |
---|
[35aab3] | 769 | #if defined(LDEBUG) |
---|
| 770 | u->debug=654324; |
---|
| 771 | #endif |
---|
| 772 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 773 | u=INT_TO_SR(ui); |
---|
| 774 | } |
---|
| 775 | } |
---|
| 776 | #ifdef LDEBUG |
---|
| 777 | nlTest(u); |
---|
| 778 | #endif |
---|
| 779 | return u; |
---|
| 780 | } |
---|
| 781 | |
---|
| 782 | /*2 |
---|
| 783 | * u := a mod b in Z, u>=0 |
---|
| 784 | */ |
---|
| 785 | number nlIntMod (number a, number b) |
---|
| 786 | { |
---|
| 787 | if (b==INT_TO_SR(0)) |
---|
| 788 | { |
---|
[b7e838] | 789 | WerrorS(nDivBy0); |
---|
[35aab3] | 790 | return INT_TO_SR(0); |
---|
| 791 | } |
---|
| 792 | if (a==INT_TO_SR(0)) |
---|
| 793 | return INT_TO_SR(0); |
---|
| 794 | number u; |
---|
| 795 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 796 | { |
---|
[7447d8] | 797 | if ((long)a>0L) |
---|
[35aab3] | 798 | { |
---|
[7447d8] | 799 | if ((long)b>0L) |
---|
[35aab3] | 800 | return INT_TO_SR(SR_TO_INT(a)%SR_TO_INT(b)); |
---|
| 801 | else |
---|
| 802 | return INT_TO_SR(SR_TO_INT(a)%(-SR_TO_INT(b))); |
---|
| 803 | } |
---|
| 804 | else |
---|
| 805 | { |
---|
[7447d8] | 806 | if ((long)b>0L) |
---|
[35aab3] | 807 | { |
---|
| 808 | int i=(-SR_TO_INT(a))%SR_TO_INT(b); |
---|
| 809 | if ( i != 0 ) i = (SR_TO_INT(b))-i; |
---|
| 810 | return INT_TO_SR(i); |
---|
| 811 | } |
---|
| 812 | else |
---|
| 813 | { |
---|
| 814 | int i=(-SR_TO_INT(a))%(-SR_TO_INT(b)); |
---|
| 815 | if ( i != 0 ) i = (-SR_TO_INT(b))-i; |
---|
| 816 | return INT_TO_SR(i); |
---|
| 817 | } |
---|
| 818 | } |
---|
| 819 | } |
---|
| 820 | if (SR_HDL(a) & SR_INT) |
---|
| 821 | { |
---|
| 822 | /* a is a small and b is a large int: -> a or (a+b) or (a-b) */ |
---|
[7447d8] | 823 | if ((long)a<0L) |
---|
[35aab3] | 824 | { |
---|
[a604c3] | 825 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 826 | return nlSub(a,b); |
---|
| 827 | /*else*/ |
---|
| 828 | return nlAdd(a,b); |
---|
| 829 | } |
---|
| 830 | /*else*/ |
---|
| 831 | return a; |
---|
| 832 | } |
---|
| 833 | number bb=NULL; |
---|
| 834 | if (SR_HDL(b) & SR_INT) |
---|
| 835 | { |
---|
| 836 | bb=nlRInit(SR_TO_INT(b)); |
---|
| 837 | b=bb; |
---|
| 838 | } |
---|
| 839 | u=(number)omAllocBin(rnumber_bin); |
---|
| 840 | #if defined(LDEBUG) |
---|
| 841 | u->debug=123456; |
---|
| 842 | #endif |
---|
[a604c3] | 843 | mpz_init(u->z); |
---|
[35aab3] | 844 | u->s = 3; |
---|
[a604c3] | 845 | mpz_mod(u->z,a->z,b->z); |
---|
[35aab3] | 846 | if (bb!=NULL) |
---|
| 847 | { |
---|
[a604c3] | 848 | mpz_clear(bb->z); |
---|
[35aab3] | 849 | #if defined(LDEBUG) |
---|
| 850 | bb->debug=654324; |
---|
| 851 | #endif |
---|
| 852 | omFreeBin((ADDRESS)bb, rnumber_bin); |
---|
| 853 | } |
---|
[a604c3] | 854 | if (mpz_isNeg(u->z)) |
---|
[35aab3] | 855 | { |
---|
[a604c3] | 856 | if (mpz_isNeg(b->z)) |
---|
| 857 | mpz_sub(u->z,u->z,b->z); |
---|
[35aab3] | 858 | else |
---|
[a604c3] | 859 | mpz_add(u->z,u->z,b->z); |
---|
[35aab3] | 860 | } |
---|
[a604c3] | 861 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 862 | { |
---|
[a604c3] | 863 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 864 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 865 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 866 | { |
---|
[a604c3] | 867 | mpz_clear(u->z); |
---|
[35aab3] | 868 | #if defined(LDEBUG) |
---|
| 869 | u->debug=654324; |
---|
| 870 | #endif |
---|
| 871 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 872 | u=INT_TO_SR(ui); |
---|
| 873 | } |
---|
| 874 | } |
---|
| 875 | #ifdef LDEBUG |
---|
| 876 | nlTest(u); |
---|
| 877 | #endif |
---|
| 878 | return u; |
---|
| 879 | } |
---|
| 880 | |
---|
| 881 | /*2 |
---|
| 882 | * u := a / b |
---|
| 883 | */ |
---|
| 884 | number nlDiv (number a, number b) |
---|
| 885 | { |
---|
| 886 | number u; |
---|
| 887 | if (nlIsZero(b)) |
---|
| 888 | { |
---|
[b7e838] | 889 | WerrorS(nDivBy0); |
---|
[35aab3] | 890 | return INT_TO_SR(0); |
---|
| 891 | } |
---|
| 892 | u=(number)omAllocBin(rnumber_bin); |
---|
| 893 | u->s=0; |
---|
| 894 | #if defined(LDEBUG) |
---|
| 895 | u->debug=123456; |
---|
| 896 | #endif |
---|
| 897 | // ---------- short / short ------------------------------------ |
---|
| 898 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 899 | { |
---|
| 900 | int i=SR_TO_INT(a); |
---|
| 901 | int j=SR_TO_INT(b); |
---|
| 902 | int r=i%j; |
---|
| 903 | if (r==0) |
---|
| 904 | { |
---|
| 905 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 906 | return INT_TO_SR(i/j); |
---|
| 907 | } |
---|
[a604c3] | 908 | mpz_init_set_si(u->z,(long)i); |
---|
| 909 | mpz_init_set_si(u->n,(long)j); |
---|
[35aab3] | 910 | } |
---|
| 911 | else |
---|
| 912 | { |
---|
[a604c3] | 913 | mpz_init(u->z); |
---|
[35aab3] | 914 | // ---------- short / long ------------------------------------ |
---|
| 915 | if (SR_HDL(a) & SR_INT) |
---|
| 916 | { |
---|
| 917 | // short a / (z/n) -> (a*n)/z |
---|
| 918 | if (b->s<2) |
---|
| 919 | { |
---|
[a604c3] | 920 | mpz_mul_si(u->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 921 | } |
---|
| 922 | else |
---|
| 923 | // short a / long z -> a/z |
---|
| 924 | { |
---|
[a604c3] | 925 | mpz_set_si(u->z,SR_TO_INT(a)); |
---|
[35aab3] | 926 | } |
---|
[a604c3] | 927 | if (mpz_cmp(u->z,b->z)==0) |
---|
[35aab3] | 928 | { |
---|
[a604c3] | 929 | mpz_clear(u->z); |
---|
[35aab3] | 930 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 931 | return INT_TO_SR(1); |
---|
| 932 | } |
---|
[a604c3] | 933 | mpz_init_set(u->n,b->z); |
---|
[35aab3] | 934 | } |
---|
| 935 | // ---------- long / short ------------------------------------ |
---|
| 936 | else if (SR_HDL(b) & SR_INT) |
---|
| 937 | { |
---|
[a604c3] | 938 | mpz_set(u->z,a->z); |
---|
[35aab3] | 939 | // (z/n) / b -> z/(n*b) |
---|
| 940 | if (a->s<2) |
---|
| 941 | { |
---|
[a604c3] | 942 | mpz_init_set(u->n,a->n); |
---|
[7447d8] | 943 | if ((long)b>0L) |
---|
[a604c3] | 944 | mpz_mul_ui(u->n,u->n,SR_TO_INT(b)); |
---|
[35aab3] | 945 | else |
---|
| 946 | { |
---|
[a604c3] | 947 | mpz_mul_ui(u->n,u->n,-SR_TO_INT(b)); |
---|
| 948 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 949 | } |
---|
| 950 | } |
---|
| 951 | else |
---|
| 952 | // long z / short b -> z/b |
---|
| 953 | { |
---|
[a604c3] | 954 | //mpz_set(u->z,a->z); |
---|
| 955 | mpz_init_set_si(u->n,SR_TO_INT(b)); |
---|
[35aab3] | 956 | } |
---|
| 957 | } |
---|
| 958 | // ---------- long / long ------------------------------------ |
---|
| 959 | else |
---|
| 960 | { |
---|
[a604c3] | 961 | mpz_set(u->z,a->z); |
---|
| 962 | mpz_init_set(u->n,b->z); |
---|
| 963 | if (a->s<2) mpz_mul(u->n,u->n,a->n); |
---|
| 964 | if (b->s<2) mpz_mul(u->z,u->z,b->n); |
---|
[35aab3] | 965 | } |
---|
| 966 | } |
---|
[a604c3] | 967 | if (mpz_isNeg(u->n)) |
---|
[35aab3] | 968 | { |
---|
[a604c3] | 969 | mpz_neg(u->z,u->z); |
---|
| 970 | mpz_neg(u->n,u->n); |
---|
[35aab3] | 971 | } |
---|
[a604c3] | 972 | if (mpz_cmp_si(u->n,(long)1)==0) |
---|
[35aab3] | 973 | { |
---|
[a604c3] | 974 | mpz_clear(u->n); |
---|
| 975 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 976 | { |
---|
[a604c3] | 977 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 978 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 979 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 980 | { |
---|
[a604c3] | 981 | mpz_clear(u->z); |
---|
[35aab3] | 982 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 983 | return INT_TO_SR(ui); |
---|
| 984 | } |
---|
| 985 | } |
---|
| 986 | u->s=3; |
---|
| 987 | } |
---|
| 988 | #ifdef LDEBUG |
---|
| 989 | nlTest(u); |
---|
| 990 | #endif |
---|
| 991 | return u; |
---|
| 992 | } |
---|
| 993 | |
---|
| 994 | /*2 |
---|
| 995 | * u:= x ^ exp |
---|
| 996 | */ |
---|
| 997 | void nlPower (number x,int exp,number * u) |
---|
| 998 | { |
---|
[6242bb3] | 999 | *u = INT_TO_SR(0); // 0^e, e!=0 |
---|
[35aab3] | 1000 | if (!nlIsZero(x)) |
---|
| 1001 | { |
---|
| 1002 | #ifdef LDEBUG |
---|
| 1003 | nlTest(x); |
---|
| 1004 | #endif |
---|
| 1005 | number aa=NULL; |
---|
| 1006 | if (SR_HDL(x) & SR_INT) |
---|
| 1007 | { |
---|
| 1008 | aa=nlRInit(SR_TO_INT(x)); |
---|
| 1009 | x=aa; |
---|
| 1010 | } |
---|
[ee7dcf] | 1011 | else if (x->s==0) |
---|
| 1012 | nlNormalize(x); |
---|
[35aab3] | 1013 | *u=(number)omAllocBin(rnumber_bin); |
---|
| 1014 | #if defined(LDEBUG) |
---|
| 1015 | (*u)->debug=123456; |
---|
| 1016 | #endif |
---|
[a604c3] | 1017 | mpz_init((*u)->z); |
---|
| 1018 | mpz_pow_ui((*u)->z,x->z,(unsigned long)exp); |
---|
[35aab3] | 1019 | if (x->s<2) |
---|
| 1020 | { |
---|
[a604c3] | 1021 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1022 | { |
---|
| 1023 | x->s=3; |
---|
[a604c3] | 1024 | mpz_clear(x->n); |
---|
[35aab3] | 1025 | } |
---|
| 1026 | else |
---|
| 1027 | { |
---|
[a604c3] | 1028 | mpz_init((*u)->n); |
---|
| 1029 | mpz_pow_ui((*u)->n,x->n,(unsigned long)exp); |
---|
[35aab3] | 1030 | } |
---|
| 1031 | } |
---|
| 1032 | (*u)->s = x->s; |
---|
[a604c3] | 1033 | if (((*u)->s==3) && (mpz_size1((*u)->z)<=MP_SMALL)) |
---|
[35aab3] | 1034 | { |
---|
[a604c3] | 1035 | int ui=(int)mpz_get_si((*u)->z); |
---|
[35aab3] | 1036 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1037 | && (mpz_cmp_si((*u)->z,(long)ui)==0)) |
---|
[35aab3] | 1038 | { |
---|
[a604c3] | 1039 | mpz_clear((*u)->z); |
---|
[35aab3] | 1040 | omFreeBin((ADDRESS)*u, rnumber_bin); |
---|
| 1041 | *u=INT_TO_SR(ui); |
---|
| 1042 | } |
---|
| 1043 | } |
---|
| 1044 | if (aa!=NULL) |
---|
| 1045 | { |
---|
[a604c3] | 1046 | mpz_clear(aa->z); |
---|
[35aab3] | 1047 | omFreeBin((ADDRESS)aa, rnumber_bin); |
---|
| 1048 | } |
---|
| 1049 | } |
---|
[6242bb3] | 1050 | else if (exp==0) |
---|
| 1051 | *u = INT_TO_SR(1); // 0^0 |
---|
[35aab3] | 1052 | #ifdef LDEBUG |
---|
[deca7f6] | 1053 | if (exp<0) Print("nlPower: neg. exp. %d\n",exp); |
---|
[35aab3] | 1054 | nlTest(*u); |
---|
| 1055 | #endif |
---|
| 1056 | } |
---|
| 1057 | |
---|
| 1058 | |
---|
| 1059 | /*2 |
---|
| 1060 | * za >= 0 ? |
---|
| 1061 | */ |
---|
| 1062 | BOOLEAN nlGreaterZero (number a) |
---|
| 1063 | { |
---|
| 1064 | #ifdef LDEBUG |
---|
| 1065 | nlTest(a); |
---|
| 1066 | #endif |
---|
[9a85a3] | 1067 | if (SR_HDL(a) & SR_INT) return SR_HDL(a)>1 /* represents number(0) */; |
---|
[a604c3] | 1068 | return (!mpz_isNeg(a->z)); |
---|
[35aab3] | 1069 | } |
---|
| 1070 | |
---|
| 1071 | /*2 |
---|
| 1072 | * a > b ? |
---|
| 1073 | */ |
---|
| 1074 | BOOLEAN nlGreater (number a, number b) |
---|
| 1075 | { |
---|
| 1076 | #ifdef LDEBUG |
---|
| 1077 | nlTest(a); |
---|
| 1078 | nlTest(b); |
---|
| 1079 | #endif |
---|
| 1080 | number r; |
---|
| 1081 | BOOLEAN rr; |
---|
| 1082 | r=nlSub(a,b); |
---|
| 1083 | rr=(!nlIsZero(r)) && (nlGreaterZero(r)); |
---|
| 1084 | nlDelete(&r,currRing); |
---|
| 1085 | return rr; |
---|
| 1086 | } |
---|
| 1087 | |
---|
| 1088 | /*2 |
---|
| 1089 | * a == -1 ? |
---|
| 1090 | */ |
---|
| 1091 | BOOLEAN nlIsMOne (number a) |
---|
| 1092 | { |
---|
| 1093 | #ifdef LDEBUG |
---|
| 1094 | if (a==NULL) return FALSE; |
---|
| 1095 | nlTest(a); |
---|
| 1096 | #endif |
---|
[5f4ae4] | 1097 | //if (SR_HDL(a) & SR_INT) return (a==INT_TO_SR(-1)); |
---|
| 1098 | //return FALSE; |
---|
[89ca47] | 1099 | return (a==INT_TO_SR(-1)); |
---|
[35aab3] | 1100 | } |
---|
| 1101 | |
---|
| 1102 | /*2 |
---|
| 1103 | * result =gcd(a,b) |
---|
| 1104 | */ |
---|
| 1105 | number nlGcd(number a, number b, const ring r) |
---|
| 1106 | { |
---|
| 1107 | number result; |
---|
| 1108 | #ifdef LDEBUG |
---|
| 1109 | nlTest(a); |
---|
| 1110 | nlTest(b); |
---|
| 1111 | #endif |
---|
| 1112 | //nlNormalize(a); |
---|
| 1113 | //nlNormalize(b); |
---|
[84fadb] | 1114 | if ((a==INT_TO_SR(1))||(a==INT_TO_SR(-1)) |
---|
| 1115 | || (b==INT_TO_SR(1))||(b==INT_TO_SR(-1))) |
---|
[f553f3] | 1116 | return INT_TO_SR(1); |
---|
| 1117 | if (a==INT_TO_SR(0)) /* gcd(0,b) ->b */ |
---|
| 1118 | return nlCopy(b); |
---|
| 1119 | if (b==INT_TO_SR(0)) /* gcd(a,0) -> a */ |
---|
| 1120 | return nlCopy(a); |
---|
[35aab3] | 1121 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 1122 | { |
---|
| 1123 | int i=SR_TO_INT(a); |
---|
| 1124 | int j=SR_TO_INT(b); |
---|
| 1125 | if((i==0)||(j==0)) |
---|
| 1126 | return INT_TO_SR(1); |
---|
| 1127 | int l; |
---|
| 1128 | i=ABS(i); |
---|
| 1129 | j=ABS(j); |
---|
| 1130 | do |
---|
| 1131 | { |
---|
| 1132 | l=i%j; |
---|
| 1133 | i=j; |
---|
| 1134 | j=l; |
---|
| 1135 | } while (l!=0); |
---|
| 1136 | return INT_TO_SR(i); |
---|
| 1137 | } |
---|
| 1138 | if (((!(SR_HDL(a) & SR_INT))&&(a->s<2)) |
---|
| 1139 | || ((!(SR_HDL(b) & SR_INT))&&(b->s<2))) return INT_TO_SR(1); |
---|
| 1140 | if (SR_HDL(a) & SR_INT) |
---|
| 1141 | { |
---|
[a604c3] | 1142 | unsigned long t=mpz_gcd_ui(NULL,b->z,ABS(SR_TO_INT(a))); |
---|
[e025229] | 1143 | return INT_TO_SR((int)t); |
---|
[35aab3] | 1144 | } |
---|
| 1145 | else |
---|
| 1146 | if (SR_HDL(b) & SR_INT) |
---|
| 1147 | { |
---|
[a604c3] | 1148 | unsigned long t=mpz_gcd_ui(NULL,a->z,ABS(SR_TO_INT(b))); |
---|
[e025229] | 1149 | return INT_TO_SR((int)t); |
---|
[35aab3] | 1150 | } |
---|
| 1151 | else |
---|
| 1152 | { |
---|
[ea66a97] | 1153 | result=(number)omAllocBin(rnumber_bin); |
---|
[a604c3] | 1154 | mpz_init(result->z); |
---|
| 1155 | mpz_gcd(result->z,a->z,b->z); |
---|
| 1156 | if (mpz_size1(result->z)<=MP_SMALL) |
---|
[35aab3] | 1157 | { |
---|
[a604c3] | 1158 | int ui=(int)mpz_get_si(result->z); |
---|
[ea66a97] | 1159 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1160 | && (mpz_cmp_si(result->z,(long)ui)==0)) |
---|
[ea66a97] | 1161 | { |
---|
[a604c3] | 1162 | mpz_clear(result->z); |
---|
[ea66a97] | 1163 | omFreeBin((ADDRESS)result, rnumber_bin); |
---|
| 1164 | return INT_TO_SR(ui); |
---|
| 1165 | } |
---|
[35aab3] | 1166 | } |
---|
[ea66a97] | 1167 | result->s = 3; |
---|
| 1168 | #ifdef LDEBUG |
---|
| 1169 | result->debug=123456; |
---|
| 1170 | nlTest(result); |
---|
| 1171 | #endif |
---|
[35aab3] | 1172 | } |
---|
| 1173 | return result; |
---|
| 1174 | } |
---|
| 1175 | |
---|
[18057e] | 1176 | number nlShort1(number x) // assume x->s==0/1 |
---|
[e8a0aa] | 1177 | { |
---|
[18057e] | 1178 | assume(x->s<2); |
---|
[a604c3] | 1179 | if (mpz_cmp_ui(x->z,(long)0)==0) |
---|
[e8a0aa] | 1180 | { |
---|
[106406] | 1181 | _nlDelete_NoImm(&x); |
---|
[e8a0aa] | 1182 | return INT_TO_SR(0); |
---|
| 1183 | } |
---|
[18057e] | 1184 | if (x->s<2) |
---|
| 1185 | { |
---|
[a604c3] | 1186 | if (mpz_cmp(x->z,x->n)==0) |
---|
[18057e] | 1187 | { |
---|
[106406] | 1188 | _nlDelete_NoImm(&x); |
---|
[18057e] | 1189 | return INT_TO_SR(1); |
---|
| 1190 | } |
---|
| 1191 | } |
---|
| 1192 | return x; |
---|
| 1193 | } |
---|
| 1194 | number nlShort3(number x) // assume x->s==3 |
---|
| 1195 | { |
---|
| 1196 | assume(x->s==3); |
---|
[a604c3] | 1197 | if ((mpz_cmp_ui(x->z,(long)0)==0) |
---|
| 1198 | || (mpz_size1(x->z)<=MP_SMALL)) |
---|
[18057e] | 1199 | { |
---|
[a604c3] | 1200 | int ui=(int)mpz_get_si(x->z); |
---|
[106406] | 1201 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1202 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[18057e] | 1203 | { |
---|
[a604c3] | 1204 | mpz_clear(x->z); |
---|
[106406] | 1205 | omFreeBin((ADDRESS)x, rnumber_bin); |
---|
| 1206 | return INT_TO_SR(ui); |
---|
[18057e] | 1207 | } |
---|
| 1208 | } |
---|
[e8a0aa] | 1209 | return x; |
---|
| 1210 | } |
---|
[35aab3] | 1211 | /*2 |
---|
| 1212 | * simplify x |
---|
| 1213 | */ |
---|
| 1214 | void nlNormalize (number &x) |
---|
| 1215 | { |
---|
| 1216 | if ((SR_HDL(x) & SR_INT) ||(x==NULL)) |
---|
| 1217 | return; |
---|
| 1218 | #ifdef LDEBUG |
---|
[2cba12d] | 1219 | if (!nlTest(x)) { if (x->s!=3) x->s=1; return; } |
---|
[35aab3] | 1220 | #endif |
---|
| 1221 | if (x->s==3) |
---|
| 1222 | { |
---|
[18057e] | 1223 | x=nlShort3(x); |
---|
| 1224 | return; |
---|
[35aab3] | 1225 | } |
---|
[3ccafbf] | 1226 | else if (x->s==0) |
---|
[35aab3] | 1227 | { |
---|
[a604c3] | 1228 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[35aab3] | 1229 | { |
---|
[a604c3] | 1230 | mpz_clear(x->n); |
---|
| 1231 | if (mpz_size1(x->z)<=MP_SMALL) |
---|
[35aab3] | 1232 | { |
---|
[a604c3] | 1233 | int ui=(int)mpz_get_si(x->z); |
---|
[3ccafbf] | 1234 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1235 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 1236 | { |
---|
[a604c3] | 1237 | mpz_clear(x->z); |
---|
[35aab3] | 1238 | #if defined(LDEBUG) |
---|
[3ccafbf] | 1239 | x->debug=654324; |
---|
[35aab3] | 1240 | #endif |
---|
[3ccafbf] | 1241 | omFreeBin((ADDRESS)x, rnumber_bin); |
---|
| 1242 | x=INT_TO_SR(ui); |
---|
| 1243 | return; |
---|
[35aab3] | 1244 | } |
---|
[eb059c5] | 1245 | } |
---|
[3ccafbf] | 1246 | x->s=3; |
---|
[eb059c5] | 1247 | } |
---|
[3ccafbf] | 1248 | else |
---|
[eb059c5] | 1249 | { |
---|
[a604c3] | 1250 | mpz_t gcd; |
---|
| 1251 | mpz_init(gcd); |
---|
| 1252 | mpz_gcd(gcd,x->z,x->n); |
---|
[3ccafbf] | 1253 | x->s=1; |
---|
[a604c3] | 1254 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[eb059c5] | 1255 | { |
---|
[a604c3] | 1256 | mpz_t r; |
---|
| 1257 | mpz_init(r); |
---|
| 1258 | MPZ_EXACTDIV(r,x->z,gcd); |
---|
| 1259 | mpz_set(x->z,r); |
---|
| 1260 | MPZ_EXACTDIV(r,x->n,gcd); |
---|
| 1261 | mpz_set(x->n,r); |
---|
| 1262 | mpz_clear(r); |
---|
| 1263 | if (mpz_cmp_si(x->n,(long)1)==0) |
---|
[3ccafbf] | 1264 | { |
---|
[a604c3] | 1265 | mpz_clear(x->n); |
---|
| 1266 | if (mpz_size1(x->z)<=MP_SMALL) |
---|
[3ccafbf] | 1267 | { |
---|
[a604c3] | 1268 | int ui=(int)mpz_get_si(x->z); |
---|
[3ccafbf] | 1269 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1270 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[3ccafbf] | 1271 | { |
---|
[a604c3] | 1272 | mpz_clear(x->z); |
---|
| 1273 | mpz_clear(gcd); |
---|
[3ccafbf] | 1274 | #if defined(LDEBUG) |
---|
| 1275 | x->debug=654324; |
---|
| 1276 | #endif |
---|
| 1277 | omFreeBin((ADDRESS)x, rnumber_bin); |
---|
| 1278 | x=INT_TO_SR(ui); |
---|
| 1279 | return; |
---|
| 1280 | } |
---|
| 1281 | } |
---|
| 1282 | x->s=3; |
---|
| 1283 | } |
---|
[eb059c5] | 1284 | } |
---|
[a604c3] | 1285 | mpz_clear(gcd); |
---|
[35aab3] | 1286 | } |
---|
| 1287 | } |
---|
| 1288 | #ifdef LDEBUG |
---|
| 1289 | nlTest(x); |
---|
| 1290 | #endif |
---|
| 1291 | } |
---|
| 1292 | |
---|
| 1293 | /*2 |
---|
| 1294 | * returns in result->z the lcm(a->z,b->n) |
---|
| 1295 | */ |
---|
| 1296 | number nlLcm(number a, number b, const ring r) |
---|
| 1297 | { |
---|
| 1298 | number result; |
---|
| 1299 | #ifdef LDEBUG |
---|
| 1300 | nlTest(a); |
---|
| 1301 | nlTest(b); |
---|
| 1302 | #endif |
---|
| 1303 | if ((SR_HDL(b) & SR_INT) |
---|
| 1304 | || (b->s==3)) |
---|
| 1305 | { |
---|
| 1306 | // b is 1/(b->n) => b->n is 1 => result is a |
---|
| 1307 | return nlCopy(a); |
---|
| 1308 | } |
---|
| 1309 | result=(number)omAllocBin(rnumber_bin); |
---|
| 1310 | #if defined(LDEBUG) |
---|
| 1311 | result->debug=123456; |
---|
| 1312 | #endif |
---|
| 1313 | result->s=3; |
---|
[a604c3] | 1314 | mpz_t gcd; |
---|
| 1315 | mpz_init(gcd); |
---|
| 1316 | mpz_init(result->z); |
---|
[35aab3] | 1317 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1318 | mpz_gcd_ui(gcd,b->n,ABS(SR_TO_INT(a))); |
---|
[35aab3] | 1319 | else |
---|
[a604c3] | 1320 | mpz_gcd(gcd,a->z,b->n); |
---|
| 1321 | if (mpz_cmp_si(gcd,(long)1)!=0) |
---|
[35aab3] | 1322 | { |
---|
[a604c3] | 1323 | mpz_t bt; |
---|
| 1324 | mpz_init_set(bt,b->n); |
---|
| 1325 | MPZ_EXACTDIV(bt,bt,gcd); |
---|
[35aab3] | 1326 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1327 | mpz_mul_si(result->z,bt,SR_TO_INT(a)); |
---|
[35aab3] | 1328 | else |
---|
[a604c3] | 1329 | mpz_mul(result->z,bt,a->z); |
---|
| 1330 | mpz_clear(bt); |
---|
[35aab3] | 1331 | } |
---|
| 1332 | else |
---|
| 1333 | if (SR_HDL(a) & SR_INT) |
---|
[a604c3] | 1334 | mpz_mul_si(result->z,b->n,SR_TO_INT(a)); |
---|
[35aab3] | 1335 | else |
---|
[a604c3] | 1336 | mpz_mul(result->z,b->n,a->z); |
---|
| 1337 | mpz_clear(gcd); |
---|
| 1338 | if (mpz_size1(result->z)<=MP_SMALL) |
---|
[35aab3] | 1339 | { |
---|
[a604c3] | 1340 | int ui=(int)mpz_get_si(result->z); |
---|
[35aab3] | 1341 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1342 | && (mpz_cmp_si(result->z,(long)ui)==0)) |
---|
[35aab3] | 1343 | { |
---|
[a604c3] | 1344 | mpz_clear(result->z); |
---|
[35aab3] | 1345 | omFreeBin((ADDRESS)result, rnumber_bin); |
---|
| 1346 | return INT_TO_SR(ui); |
---|
| 1347 | } |
---|
| 1348 | } |
---|
| 1349 | #ifdef LDEBUG |
---|
| 1350 | nlTest(result); |
---|
| 1351 | #endif |
---|
| 1352 | return result; |
---|
| 1353 | } |
---|
| 1354 | |
---|
| 1355 | int nlModP(number n, int p) |
---|
| 1356 | { |
---|
| 1357 | if (SR_HDL(n) & SR_INT) |
---|
| 1358 | { |
---|
| 1359 | int i=SR_TO_INT(n); |
---|
| 1360 | if (i<0) return (p-((-i)%p)); |
---|
| 1361 | return i%p; |
---|
| 1362 | } |
---|
[a604c3] | 1363 | int iz=(int)mpz_fdiv_ui(n->z,(unsigned long)p); |
---|
[35aab3] | 1364 | if (n->s!=3) |
---|
| 1365 | { |
---|
[a604c3] | 1366 | int in=mpz_fdiv_ui(n->n,(unsigned long)p); |
---|
[6c15ec] | 1367 | #ifdef NV_OPS |
---|
| 1368 | if (npPrimeM>NV_MAX_PRIME) |
---|
| 1369 | return (int)((long)nvDiv((number)iz,(number)in)); |
---|
| 1370 | #endif |
---|
[7447d8] | 1371 | return (int)((long)npDiv((number)iz,(number)in)); |
---|
[35aab3] | 1372 | } |
---|
| 1373 | return iz; |
---|
| 1374 | } |
---|
| 1375 | |
---|
[894f5b1] | 1376 | #ifdef HAVE_RINGS |
---|
| 1377 | /*2 |
---|
[1919112] | 1378 | * convert number i (from Q) to GMP and warn if denom != 1 |
---|
[894f5b1] | 1379 | */ |
---|
[0959dc] | 1380 | void nlGMP(number &i, number n) |
---|
[894f5b1] | 1381 | { |
---|
| 1382 | // Hier brauche ich einfach die GMP Zahl |
---|
| 1383 | #ifdef LDEBUG |
---|
| 1384 | nlTest(i); |
---|
| 1385 | #endif |
---|
| 1386 | nlNormalize(i); |
---|
| 1387 | if (SR_HDL(i) & SR_INT) |
---|
| 1388 | { |
---|
[a604c3] | 1389 | mpz_set_si((mpz_ptr) n, (long) SR_TO_INT(i)); |
---|
[0959dc] | 1390 | return; |
---|
[894f5b1] | 1391 | } |
---|
| 1392 | if (i->s!=3) |
---|
| 1393 | { |
---|
| 1394 | WarnS("Omitted denominator during coefficient mapping !"); |
---|
| 1395 | } |
---|
[a604c3] | 1396 | mpz_set((mpz_ptr) n, i->z); |
---|
[894f5b1] | 1397 | } |
---|
| 1398 | #endif |
---|
| 1399 | |
---|
[35aab3] | 1400 | /*2 |
---|
| 1401 | * acces to denominator, other 1 for integers |
---|
| 1402 | */ |
---|
| 1403 | number nlGetDenom(number &n, const ring r) |
---|
| 1404 | { |
---|
| 1405 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1406 | { |
---|
| 1407 | if (n->s==0) |
---|
| 1408 | { |
---|
| 1409 | nlNormalize(n); |
---|
| 1410 | } |
---|
| 1411 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1412 | { |
---|
| 1413 | if (n->s!=3) |
---|
| 1414 | { |
---|
| 1415 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1416 | u->s=3; |
---|
| 1417 | #if defined(LDEBUG) |
---|
| 1418 | u->debug=123456; |
---|
| 1419 | #endif |
---|
[a604c3] | 1420 | mpz_init_set(u->z,n->n); |
---|
[35aab3] | 1421 | { |
---|
[a604c3] | 1422 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1423 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1424 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1425 | { |
---|
[a604c3] | 1426 | mpz_clear(u->z); |
---|
[35aab3] | 1427 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1428 | return INT_TO_SR(ui); |
---|
| 1429 | } |
---|
| 1430 | } |
---|
| 1431 | return u; |
---|
| 1432 | } |
---|
| 1433 | } |
---|
| 1434 | } |
---|
| 1435 | return INT_TO_SR(1); |
---|
| 1436 | } |
---|
| 1437 | |
---|
| 1438 | /*2 |
---|
| 1439 | * acces to Nominator, nlCopy(n) for integers |
---|
| 1440 | */ |
---|
[e803ec] | 1441 | number nlGetNumerator(number &n, const ring r) |
---|
[35aab3] | 1442 | { |
---|
| 1443 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1444 | { |
---|
| 1445 | if (n->s==0) |
---|
| 1446 | { |
---|
| 1447 | nlNormalize(n); |
---|
| 1448 | } |
---|
| 1449 | if (!(SR_HDL(n) & SR_INT)) |
---|
| 1450 | { |
---|
| 1451 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1452 | #if defined(LDEBUG) |
---|
| 1453 | u->debug=123456; |
---|
| 1454 | #endif |
---|
| 1455 | u->s=3; |
---|
[a604c3] | 1456 | mpz_init_set(u->z,n->z); |
---|
[35aab3] | 1457 | if (n->s!=3) |
---|
| 1458 | { |
---|
[a604c3] | 1459 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1460 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1461 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1462 | { |
---|
[a604c3] | 1463 | mpz_clear(u->z); |
---|
[35aab3] | 1464 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1465 | return INT_TO_SR(ui); |
---|
| 1466 | } |
---|
| 1467 | } |
---|
| 1468 | return u; |
---|
| 1469 | } |
---|
| 1470 | } |
---|
| 1471 | return n; // imm. int |
---|
| 1472 | } |
---|
| 1473 | |
---|
| 1474 | /*************************************************************** |
---|
| 1475 | * |
---|
| 1476 | * routines which are needed by Inline(d) routines |
---|
| 1477 | * |
---|
| 1478 | *******************************************************************/ |
---|
| 1479 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1480 | { |
---|
| 1481 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 1482 | // long - short |
---|
| 1483 | BOOLEAN bo; |
---|
| 1484 | if (SR_HDL(b) & SR_INT) |
---|
| 1485 | { |
---|
| 1486 | if (a->s!=0) return FALSE; |
---|
| 1487 | number n=b; b=a; a=n; |
---|
| 1488 | } |
---|
| 1489 | // short - long |
---|
| 1490 | if (SR_HDL(a) & SR_INT) |
---|
| 1491 | { |
---|
| 1492 | if (b->s!=0) |
---|
| 1493 | return FALSE; |
---|
[a604c3] | 1494 | if (((long)a > 0L) && (mpz_isNeg(b->z))) |
---|
[35aab3] | 1495 | return FALSE; |
---|
[a604c3] | 1496 | if (((long)a < 0L) && (!mpz_isNeg(b->z))) |
---|
[35aab3] | 1497 | return FALSE; |
---|
[a604c3] | 1498 | mpz_t bb; |
---|
| 1499 | mpz_init_set(bb,b->n); |
---|
| 1500 | mpz_mul_si(bb,bb,(long)SR_TO_INT(a)); |
---|
| 1501 | bo=(mpz_cmp(bb,b->z)==0); |
---|
| 1502 | mpz_clear(bb); |
---|
[35aab3] | 1503 | return bo; |
---|
| 1504 | } |
---|
| 1505 | // long - long |
---|
| 1506 | if (((a->s==1) && (b->s==3)) |
---|
| 1507 | || ((b->s==1) && (a->s==3))) |
---|
| 1508 | return FALSE; |
---|
[a604c3] | 1509 | if (mpz_isNeg(a->z)&&(!mpz_isNeg(b->z))) |
---|
[35aab3] | 1510 | return FALSE; |
---|
[a604c3] | 1511 | if (mpz_isNeg(b->z)&&(!mpz_isNeg(a->z))) |
---|
[35aab3] | 1512 | return FALSE; |
---|
[a604c3] | 1513 | mpz_t aa; |
---|
| 1514 | mpz_t bb; |
---|
| 1515 | mpz_init_set(aa,a->z); |
---|
| 1516 | mpz_init_set(bb,b->z); |
---|
| 1517 | if (a->s<2) mpz_mul(bb,bb,a->n); |
---|
| 1518 | if (b->s<2) mpz_mul(aa,aa,b->n); |
---|
| 1519 | bo=(mpz_cmp(aa,bb)==0); |
---|
| 1520 | mpz_clear(aa); |
---|
| 1521 | mpz_clear(bb); |
---|
[35aab3] | 1522 | return bo; |
---|
| 1523 | } |
---|
| 1524 | |
---|
| 1525 | // copy not immediate number a |
---|
| 1526 | number _nlCopy_NoImm(number a) |
---|
| 1527 | { |
---|
| 1528 | assume(!((SR_HDL(a) & SR_INT)||(a==NULL))); |
---|
| 1529 | #ifdef LDEBUG |
---|
| 1530 | nlTest(a); |
---|
| 1531 | #endif |
---|
| 1532 | number b=(number)omAllocBin(rnumber_bin); |
---|
| 1533 | #if defined(LDEBUG) |
---|
| 1534 | b->debug=123456; |
---|
| 1535 | #endif |
---|
| 1536 | switch (a->s) |
---|
| 1537 | { |
---|
| 1538 | case 0: |
---|
| 1539 | case 1: |
---|
[a604c3] | 1540 | mpz_init_set(b->n,a->n); |
---|
[35aab3] | 1541 | case 3: |
---|
[a604c3] | 1542 | mpz_init_set(b->z,a->z); |
---|
[35aab3] | 1543 | break; |
---|
| 1544 | } |
---|
| 1545 | b->s = a->s; |
---|
| 1546 | #ifdef LDEBUG |
---|
| 1547 | nlTest(b); |
---|
| 1548 | #endif |
---|
| 1549 | return b; |
---|
| 1550 | } |
---|
| 1551 | |
---|
[fee4c2] | 1552 | void _nlDelete_NoImm(number *a) |
---|
[35aab3] | 1553 | { |
---|
| 1554 | { |
---|
| 1555 | switch ((*a)->s) |
---|
| 1556 | { |
---|
| 1557 | case 0: |
---|
| 1558 | case 1: |
---|
[a604c3] | 1559 | mpz_clear((*a)->n); |
---|
[35aab3] | 1560 | case 3: |
---|
[a604c3] | 1561 | mpz_clear((*a)->z); |
---|
[35aab3] | 1562 | #ifdef LDEBUG |
---|
| 1563 | (*a)->s=2; |
---|
| 1564 | #endif |
---|
| 1565 | } |
---|
| 1566 | omFreeBin((ADDRESS) *a, rnumber_bin); |
---|
| 1567 | } |
---|
| 1568 | } |
---|
| 1569 | |
---|
| 1570 | number _nlNeg_NoImm(number a) |
---|
| 1571 | { |
---|
| 1572 | { |
---|
[a604c3] | 1573 | mpz_neg(a->z,a->z); |
---|
| 1574 | if ((a->s==3) && (mpz_size1(a->z)<=MP_SMALL)) |
---|
[35aab3] | 1575 | { |
---|
[a604c3] | 1576 | int ui=(int)mpz_get_si(a->z); |
---|
[35aab3] | 1577 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1578 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
---|
[35aab3] | 1579 | { |
---|
[a604c3] | 1580 | mpz_clear(a->z); |
---|
[35aab3] | 1581 | omFreeBin((ADDRESS)a, rnumber_bin); |
---|
| 1582 | a=INT_TO_SR(ui); |
---|
| 1583 | } |
---|
| 1584 | } |
---|
| 1585 | } |
---|
| 1586 | #ifdef LDEBUG |
---|
| 1587 | nlTest(a); |
---|
| 1588 | #endif |
---|
| 1589 | return a; |
---|
| 1590 | } |
---|
| 1591 | |
---|
| 1592 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1593 | { |
---|
| 1594 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1595 | #if defined(LDEBUG) |
---|
| 1596 | u->debug=123456; |
---|
| 1597 | #endif |
---|
[a604c3] | 1598 | mpz_init(u->z); |
---|
[35aab3] | 1599 | if (SR_HDL(b) & SR_INT) |
---|
| 1600 | { |
---|
| 1601 | number x=a; |
---|
| 1602 | a=b; |
---|
| 1603 | b=x; |
---|
| 1604 | } |
---|
| 1605 | if (SR_HDL(a) & SR_INT) |
---|
| 1606 | { |
---|
| 1607 | switch (b->s) |
---|
| 1608 | { |
---|
| 1609 | case 0: |
---|
| 1610 | case 1:/* a:short, b:1 */ |
---|
| 1611 | { |
---|
[a604c3] | 1612 | mpz_t x; |
---|
| 1613 | mpz_init(x); |
---|
| 1614 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1615 | mpz_add(u->z,b->z,x); |
---|
| 1616 | mpz_clear(x); |
---|
| 1617 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1618 | { |
---|
[a604c3] | 1619 | mpz_clear(u->z); |
---|
[35aab3] | 1620 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1621 | return INT_TO_SR(0); |
---|
| 1622 | } |
---|
[a604c3] | 1623 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1624 | { |
---|
[a604c3] | 1625 | mpz_clear(u->z); |
---|
[35aab3] | 1626 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1627 | return INT_TO_SR(1); |
---|
| 1628 | } |
---|
[a604c3] | 1629 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1630 | u->s = 0; |
---|
| 1631 | break; |
---|
| 1632 | } |
---|
| 1633 | case 3: |
---|
| 1634 | { |
---|
[7447d8] | 1635 | if ((long)a>0L) |
---|
[a604c3] | 1636 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[35aab3] | 1637 | else |
---|
[a604c3] | 1638 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1639 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1640 | { |
---|
[a604c3] | 1641 | mpz_clear(u->z); |
---|
[35aab3] | 1642 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1643 | return INT_TO_SR(0); |
---|
| 1644 | } |
---|
| 1645 | //u->s = 3; |
---|
[a604c3] | 1646 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 1647 | { |
---|
[a604c3] | 1648 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1649 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1650 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1651 | { |
---|
[a604c3] | 1652 | mpz_clear(u->z); |
---|
[35aab3] | 1653 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1654 | return INT_TO_SR(ui); |
---|
| 1655 | } |
---|
| 1656 | } |
---|
| 1657 | u->s = 3; |
---|
| 1658 | break; |
---|
| 1659 | } |
---|
| 1660 | } |
---|
| 1661 | } |
---|
| 1662 | else |
---|
| 1663 | { |
---|
| 1664 | switch (a->s) |
---|
| 1665 | { |
---|
| 1666 | case 0: |
---|
| 1667 | case 1: |
---|
| 1668 | { |
---|
| 1669 | switch(b->s) |
---|
| 1670 | { |
---|
| 1671 | case 0: |
---|
| 1672 | case 1: |
---|
| 1673 | { |
---|
[a604c3] | 1674 | mpz_t x; |
---|
| 1675 | mpz_init(x); |
---|
[e8a0aa] | 1676 | |
---|
[a604c3] | 1677 | mpz_mul(x,b->z,a->n); |
---|
| 1678 | mpz_mul(u->z,a->z,b->n); |
---|
| 1679 | mpz_add(u->z,u->z,x); |
---|
| 1680 | mpz_clear(x); |
---|
[e8a0aa] | 1681 | |
---|
[a604c3] | 1682 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1683 | { |
---|
[a604c3] | 1684 | mpz_clear(u->z); |
---|
[35aab3] | 1685 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1686 | return INT_TO_SR(0); |
---|
| 1687 | } |
---|
[a604c3] | 1688 | mpz_init(u->n); |
---|
| 1689 | mpz_mul(u->n,a->n,b->n); |
---|
| 1690 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1691 | { |
---|
[a604c3] | 1692 | mpz_clear(u->z); |
---|
| 1693 | mpz_clear(u->n); |
---|
[35aab3] | 1694 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1695 | return INT_TO_SR(1); |
---|
| 1696 | } |
---|
| 1697 | u->s = 0; |
---|
| 1698 | break; |
---|
| 1699 | } |
---|
| 1700 | case 3: /* a:1 b:3 */ |
---|
| 1701 | { |
---|
[a604c3] | 1702 | mpz_mul(u->z,b->z,a->n); |
---|
| 1703 | mpz_add(u->z,u->z,a->z); |
---|
| 1704 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1705 | { |
---|
[a604c3] | 1706 | mpz_clear(u->z); |
---|
[35aab3] | 1707 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1708 | return INT_TO_SR(0); |
---|
| 1709 | } |
---|
[a604c3] | 1710 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1711 | { |
---|
[a604c3] | 1712 | mpz_clear(u->z); |
---|
[35aab3] | 1713 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1714 | return INT_TO_SR(1); |
---|
| 1715 | } |
---|
[a604c3] | 1716 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1717 | u->s = 0; |
---|
| 1718 | break; |
---|
| 1719 | } |
---|
| 1720 | } /*switch (b->s) */ |
---|
| 1721 | break; |
---|
| 1722 | } |
---|
| 1723 | case 3: |
---|
| 1724 | { |
---|
| 1725 | switch(b->s) |
---|
| 1726 | { |
---|
| 1727 | case 0: |
---|
| 1728 | case 1:/* a:3, b:1 */ |
---|
| 1729 | { |
---|
[a604c3] | 1730 | mpz_mul(u->z,a->z,b->n); |
---|
| 1731 | mpz_add(u->z,u->z,b->z); |
---|
| 1732 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1733 | { |
---|
[a604c3] | 1734 | mpz_clear(u->z); |
---|
[35aab3] | 1735 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1736 | return INT_TO_SR(0); |
---|
| 1737 | } |
---|
[a604c3] | 1738 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1739 | { |
---|
[a604c3] | 1740 | mpz_clear(u->z); |
---|
[35aab3] | 1741 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1742 | return INT_TO_SR(1); |
---|
| 1743 | } |
---|
[a604c3] | 1744 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1745 | u->s = 0; |
---|
| 1746 | break; |
---|
| 1747 | } |
---|
| 1748 | case 3: |
---|
| 1749 | { |
---|
[a604c3] | 1750 | mpz_add(u->z,a->z,b->z); |
---|
| 1751 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1752 | { |
---|
[a604c3] | 1753 | mpz_clear(u->z); |
---|
[35aab3] | 1754 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1755 | return INT_TO_SR(0); |
---|
| 1756 | } |
---|
[a604c3] | 1757 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 1758 | { |
---|
[a604c3] | 1759 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1760 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1761 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1762 | { |
---|
[a604c3] | 1763 | mpz_clear(u->z); |
---|
[35aab3] | 1764 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1765 | return INT_TO_SR(ui); |
---|
| 1766 | } |
---|
| 1767 | } |
---|
| 1768 | u->s = 3; |
---|
| 1769 | break; |
---|
| 1770 | } |
---|
| 1771 | } |
---|
| 1772 | break; |
---|
| 1773 | } |
---|
| 1774 | } |
---|
| 1775 | } |
---|
| 1776 | #ifdef LDEBUG |
---|
| 1777 | nlTest(u); |
---|
| 1778 | #endif |
---|
| 1779 | return u; |
---|
| 1780 | } |
---|
| 1781 | |
---|
| 1782 | number _nlSub_aNoImm_OR_bNoImm(number a, number b) |
---|
| 1783 | { |
---|
| 1784 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 1785 | #if defined(LDEBUG) |
---|
| 1786 | u->debug=123456; |
---|
| 1787 | #endif |
---|
[a604c3] | 1788 | mpz_init(u->z); |
---|
[35aab3] | 1789 | if (SR_HDL(a) & SR_INT) |
---|
| 1790 | { |
---|
| 1791 | switch (b->s) |
---|
| 1792 | { |
---|
| 1793 | case 0: |
---|
| 1794 | case 1:/* a:short, b:1 */ |
---|
| 1795 | { |
---|
[a604c3] | 1796 | mpz_t x; |
---|
| 1797 | mpz_init(x); |
---|
| 1798 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 1799 | mpz_sub(u->z,x,b->z); |
---|
| 1800 | mpz_clear(x); |
---|
| 1801 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1802 | { |
---|
[a604c3] | 1803 | mpz_clear(u->z); |
---|
[35aab3] | 1804 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1805 | return INT_TO_SR(0); |
---|
| 1806 | } |
---|
[a604c3] | 1807 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1808 | { |
---|
[a604c3] | 1809 | mpz_clear(u->z); |
---|
[35aab3] | 1810 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1811 | return INT_TO_SR(1); |
---|
| 1812 | } |
---|
[a604c3] | 1813 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 1814 | u->s = 0; |
---|
| 1815 | break; |
---|
| 1816 | } |
---|
| 1817 | case 3: |
---|
| 1818 | { |
---|
[7447d8] | 1819 | if ((long)a>0L) |
---|
[35aab3] | 1820 | { |
---|
[a604c3] | 1821 | mpz_sub_ui(u->z,b->z,SR_TO_INT(a)); |
---|
| 1822 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1823 | } |
---|
| 1824 | else |
---|
| 1825 | { |
---|
[a604c3] | 1826 | mpz_add_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
| 1827 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 1828 | } |
---|
[a604c3] | 1829 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1830 | { |
---|
[a604c3] | 1831 | mpz_clear(u->z); |
---|
[35aab3] | 1832 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1833 | return INT_TO_SR(0); |
---|
| 1834 | } |
---|
[a604c3] | 1835 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 1836 | { |
---|
[a604c3] | 1837 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1838 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1839 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1840 | { |
---|
[a604c3] | 1841 | mpz_clear(u->z); |
---|
[35aab3] | 1842 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1843 | return INT_TO_SR(ui); |
---|
| 1844 | } |
---|
| 1845 | } |
---|
| 1846 | u->s = 3; |
---|
| 1847 | break; |
---|
| 1848 | } |
---|
| 1849 | } |
---|
| 1850 | } |
---|
| 1851 | else if (SR_HDL(b) & SR_INT) |
---|
| 1852 | { |
---|
| 1853 | switch (a->s) |
---|
| 1854 | { |
---|
| 1855 | case 0: |
---|
| 1856 | case 1:/* b:short, a:1 */ |
---|
| 1857 | { |
---|
[a604c3] | 1858 | mpz_t x; |
---|
| 1859 | mpz_init(x); |
---|
| 1860 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 1861 | mpz_sub(u->z,a->z,x); |
---|
| 1862 | mpz_clear(x); |
---|
| 1863 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1864 | { |
---|
[a604c3] | 1865 | mpz_clear(u->z); |
---|
[35aab3] | 1866 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1867 | return INT_TO_SR(0); |
---|
| 1868 | } |
---|
[a604c3] | 1869 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1870 | { |
---|
[a604c3] | 1871 | mpz_clear(u->z); |
---|
[35aab3] | 1872 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1873 | return INT_TO_SR(1); |
---|
| 1874 | } |
---|
[a604c3] | 1875 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1876 | u->s = 0; |
---|
| 1877 | break; |
---|
| 1878 | } |
---|
| 1879 | case 3: |
---|
| 1880 | { |
---|
[7447d8] | 1881 | if ((long)b>0L) |
---|
[35aab3] | 1882 | { |
---|
[a604c3] | 1883 | mpz_sub_ui(u->z,a->z,SR_TO_INT(b)); |
---|
[35aab3] | 1884 | } |
---|
| 1885 | else |
---|
| 1886 | { |
---|
[a604c3] | 1887 | mpz_add_ui(u->z,a->z,-SR_TO_INT(b)); |
---|
[35aab3] | 1888 | } |
---|
[a604c3] | 1889 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1890 | { |
---|
[a604c3] | 1891 | mpz_clear(u->z); |
---|
[35aab3] | 1892 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1893 | return INT_TO_SR(0); |
---|
| 1894 | } |
---|
| 1895 | //u->s = 3; |
---|
[a604c3] | 1896 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 1897 | { |
---|
[a604c3] | 1898 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 1899 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 1900 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 1901 | { |
---|
[a604c3] | 1902 | mpz_clear(u->z); |
---|
[35aab3] | 1903 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1904 | return INT_TO_SR(ui); |
---|
| 1905 | } |
---|
| 1906 | } |
---|
| 1907 | u->s = 3; |
---|
| 1908 | break; |
---|
| 1909 | } |
---|
| 1910 | } |
---|
| 1911 | } |
---|
| 1912 | else |
---|
| 1913 | { |
---|
| 1914 | switch (a->s) |
---|
| 1915 | { |
---|
| 1916 | case 0: |
---|
| 1917 | case 1: |
---|
| 1918 | { |
---|
| 1919 | switch(b->s) |
---|
| 1920 | { |
---|
| 1921 | case 0: |
---|
| 1922 | case 1: |
---|
| 1923 | { |
---|
[a604c3] | 1924 | mpz_t x; |
---|
| 1925 | mpz_t y; |
---|
| 1926 | mpz_init(x); |
---|
| 1927 | mpz_init(y); |
---|
| 1928 | mpz_mul(x,b->z,a->n); |
---|
| 1929 | mpz_mul(y,a->z,b->n); |
---|
| 1930 | mpz_sub(u->z,y,x); |
---|
| 1931 | mpz_clear(x); |
---|
| 1932 | mpz_clear(y); |
---|
| 1933 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1934 | { |
---|
[a604c3] | 1935 | mpz_clear(u->z); |
---|
[35aab3] | 1936 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1937 | return INT_TO_SR(0); |
---|
| 1938 | } |
---|
[a604c3] | 1939 | mpz_init(u->n); |
---|
| 1940 | mpz_mul(u->n,a->n,b->n); |
---|
| 1941 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 1942 | { |
---|
[a604c3] | 1943 | mpz_clear(u->z); |
---|
| 1944 | mpz_clear(u->n); |
---|
[35aab3] | 1945 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1946 | return INT_TO_SR(1); |
---|
| 1947 | } |
---|
| 1948 | u->s = 0; |
---|
| 1949 | break; |
---|
| 1950 | } |
---|
| 1951 | case 3: /* a:1, b:3 */ |
---|
| 1952 | { |
---|
[a604c3] | 1953 | mpz_t x; |
---|
| 1954 | mpz_init(x); |
---|
| 1955 | mpz_mul(x,b->z,a->n); |
---|
| 1956 | mpz_sub(u->z,a->z,x); |
---|
| 1957 | mpz_clear(x); |
---|
| 1958 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1959 | { |
---|
[a604c3] | 1960 | mpz_clear(u->z); |
---|
[35aab3] | 1961 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1962 | return INT_TO_SR(0); |
---|
| 1963 | } |
---|
[a604c3] | 1964 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 1965 | { |
---|
[a604c3] | 1966 | mpz_clear(u->z); |
---|
[35aab3] | 1967 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1968 | return INT_TO_SR(1); |
---|
| 1969 | } |
---|
[a604c3] | 1970 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 1971 | u->s = 0; |
---|
| 1972 | break; |
---|
| 1973 | } |
---|
| 1974 | } |
---|
| 1975 | break; |
---|
| 1976 | } |
---|
| 1977 | case 3: |
---|
| 1978 | { |
---|
| 1979 | switch(b->s) |
---|
| 1980 | { |
---|
| 1981 | case 0: |
---|
| 1982 | case 1: /* a:3, b:1 */ |
---|
| 1983 | { |
---|
[a604c3] | 1984 | mpz_t x; |
---|
| 1985 | mpz_init(x); |
---|
| 1986 | mpz_mul(x,a->z,b->n); |
---|
| 1987 | mpz_sub(u->z,x,b->z); |
---|
| 1988 | mpz_clear(x); |
---|
| 1989 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 1990 | { |
---|
[a604c3] | 1991 | mpz_clear(u->z); |
---|
[35aab3] | 1992 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1993 | return INT_TO_SR(0); |
---|
| 1994 | } |
---|
[a604c3] | 1995 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 1996 | { |
---|
[a604c3] | 1997 | mpz_clear(u->z); |
---|
[35aab3] | 1998 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 1999 | return INT_TO_SR(1); |
---|
| 2000 | } |
---|
[a604c3] | 2001 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2002 | u->s = 0; |
---|
| 2003 | break; |
---|
| 2004 | } |
---|
| 2005 | case 3: /* a:3 , b:3 */ |
---|
| 2006 | { |
---|
[a604c3] | 2007 | mpz_sub(u->z,a->z,b->z); |
---|
| 2008 | if (mpz_cmp_ui(u->z,(long)0)==0) |
---|
[35aab3] | 2009 | { |
---|
[a604c3] | 2010 | mpz_clear(u->z); |
---|
[35aab3] | 2011 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2012 | return INT_TO_SR(0); |
---|
| 2013 | } |
---|
| 2014 | //u->s = 3; |
---|
[a604c3] | 2015 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 2016 | { |
---|
[a604c3] | 2017 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 2018 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2019 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 2020 | { |
---|
[a604c3] | 2021 | mpz_clear(u->z); |
---|
[35aab3] | 2022 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2023 | return INT_TO_SR(ui); |
---|
| 2024 | } |
---|
| 2025 | } |
---|
| 2026 | u->s = 3; |
---|
| 2027 | break; |
---|
| 2028 | } |
---|
| 2029 | } |
---|
| 2030 | break; |
---|
| 2031 | } |
---|
| 2032 | } |
---|
| 2033 | } |
---|
| 2034 | #ifdef LDEBUG |
---|
| 2035 | nlTest(u); |
---|
| 2036 | #endif |
---|
| 2037 | return u; |
---|
| 2038 | } |
---|
| 2039 | |
---|
| 2040 | // a and b are intermediate, but a*b not |
---|
| 2041 | number _nlMult_aImm_bImm_rNoImm(number a, number b) |
---|
| 2042 | { |
---|
| 2043 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 2044 | #if defined(LDEBUG) |
---|
| 2045 | u->debug=123456; |
---|
| 2046 | #endif |
---|
| 2047 | u->s=3; |
---|
[a604c3] | 2048 | mpz_init_set_si(u->z,(long)SR_TO_INT(a)); |
---|
| 2049 | mpz_mul_si(u->z,u->z,(long)SR_TO_INT(b)); |
---|
[35aab3] | 2050 | #ifdef LDEBUG |
---|
| 2051 | nlTest(u); |
---|
| 2052 | #endif |
---|
| 2053 | return u; |
---|
| 2054 | } |
---|
| 2055 | |
---|
| 2056 | // a or b are not immediate |
---|
| 2057 | number _nlMult_aNoImm_OR_bNoImm(number a, number b) |
---|
| 2058 | { |
---|
| 2059 | assume(! (SR_HDL(a) & SR_HDL(b) & SR_INT)); |
---|
| 2060 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 2061 | #if defined(LDEBUG) |
---|
| 2062 | u->debug=123456; |
---|
| 2063 | #endif |
---|
[a604c3] | 2064 | mpz_init(u->z); |
---|
[35aab3] | 2065 | if (SR_HDL(b) & SR_INT) |
---|
| 2066 | { |
---|
| 2067 | number x=a; |
---|
| 2068 | a=b; |
---|
| 2069 | b=x; |
---|
| 2070 | } |
---|
| 2071 | if (SR_HDL(a) & SR_INT) |
---|
| 2072 | { |
---|
| 2073 | u->s=b->s; |
---|
| 2074 | if (u->s==1) u->s=0; |
---|
[7447d8] | 2075 | if ((long)a>0L) |
---|
[35aab3] | 2076 | { |
---|
[a604c3] | 2077 | mpz_mul_ui(u->z,b->z,(unsigned long)SR_TO_INT(a)); |
---|
[35aab3] | 2078 | } |
---|
| 2079 | else |
---|
| 2080 | { |
---|
| 2081 | if (a==INT_TO_SR(-1)) |
---|
| 2082 | { |
---|
[a604c3] | 2083 | mpz_set(u->z,b->z); |
---|
| 2084 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2085 | u->s=b->s; |
---|
| 2086 | } |
---|
| 2087 | else |
---|
| 2088 | { |
---|
[a604c3] | 2089 | mpz_mul_ui(u->z,b->z,(unsigned long)-SR_TO_INT(a)); |
---|
| 2090 | mpz_neg(u->z,u->z); |
---|
[35aab3] | 2091 | } |
---|
| 2092 | } |
---|
| 2093 | if (u->s<2) |
---|
| 2094 | { |
---|
[a604c3] | 2095 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2096 | { |
---|
[a604c3] | 2097 | mpz_clear(u->z); |
---|
[35aab3] | 2098 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2099 | return INT_TO_SR(1); |
---|
| 2100 | } |
---|
[a604c3] | 2101 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2102 | } |
---|
| 2103 | else //u->s==3 |
---|
| 2104 | { |
---|
[a604c3] | 2105 | if (mpz_size1(u->z)<=MP_SMALL) |
---|
[35aab3] | 2106 | { |
---|
[a604c3] | 2107 | int ui=(int)mpz_get_si(u->z); |
---|
[35aab3] | 2108 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2109 | && (mpz_cmp_si(u->z,(long)ui)==0)) |
---|
[35aab3] | 2110 | { |
---|
[a604c3] | 2111 | mpz_clear(u->z); |
---|
[35aab3] | 2112 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2113 | return INT_TO_SR(ui); |
---|
| 2114 | } |
---|
| 2115 | } |
---|
| 2116 | } |
---|
| 2117 | } |
---|
| 2118 | else |
---|
| 2119 | { |
---|
[a604c3] | 2120 | mpz_mul(u->z,a->z,b->z); |
---|
[35aab3] | 2121 | u->s = 0; |
---|
| 2122 | if(a->s==3) |
---|
| 2123 | { |
---|
| 2124 | if(b->s==3) |
---|
| 2125 | { |
---|
| 2126 | u->s = 3; |
---|
| 2127 | } |
---|
| 2128 | else |
---|
| 2129 | { |
---|
[a604c3] | 2130 | if (mpz_cmp(u->z,b->n)==0) |
---|
[35aab3] | 2131 | { |
---|
[a604c3] | 2132 | mpz_clear(u->z); |
---|
[35aab3] | 2133 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2134 | return INT_TO_SR(1); |
---|
| 2135 | } |
---|
[a604c3] | 2136 | mpz_init_set(u->n,b->n); |
---|
[35aab3] | 2137 | } |
---|
| 2138 | } |
---|
| 2139 | else |
---|
| 2140 | { |
---|
| 2141 | if(b->s==3) |
---|
| 2142 | { |
---|
[a604c3] | 2143 | if (mpz_cmp(u->z,a->n)==0) |
---|
[35aab3] | 2144 | { |
---|
[a604c3] | 2145 | mpz_clear(u->z); |
---|
[35aab3] | 2146 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2147 | return INT_TO_SR(1); |
---|
| 2148 | } |
---|
[a604c3] | 2149 | mpz_init_set(u->n,a->n); |
---|
[35aab3] | 2150 | } |
---|
| 2151 | else |
---|
| 2152 | { |
---|
[a604c3] | 2153 | mpz_init(u->n); |
---|
| 2154 | mpz_mul(u->n,a->n,b->n); |
---|
| 2155 | if (mpz_cmp(u->z,u->n)==0) |
---|
[35aab3] | 2156 | { |
---|
[a604c3] | 2157 | mpz_clear(u->z); |
---|
| 2158 | mpz_clear(u->n); |
---|
[35aab3] | 2159 | omFreeBin((ADDRESS)u, rnumber_bin); |
---|
| 2160 | return INT_TO_SR(1); |
---|
| 2161 | } |
---|
| 2162 | } |
---|
| 2163 | } |
---|
| 2164 | } |
---|
| 2165 | #ifdef LDEBUG |
---|
| 2166 | nlTest(u); |
---|
| 2167 | #endif |
---|
| 2168 | return u; |
---|
| 2169 | } |
---|
| 2170 | |
---|
| 2171 | /*2 |
---|
| 2172 | * z := i |
---|
| 2173 | */ |
---|
| 2174 | number nlRInit (int i) |
---|
| 2175 | { |
---|
| 2176 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 2177 | #if defined(LDEBUG) |
---|
| 2178 | z->debug=123456; |
---|
| 2179 | #endif |
---|
[a604c3] | 2180 | mpz_init_set_si(z->z,(long)i); |
---|
[35aab3] | 2181 | z->s = 3; |
---|
| 2182 | return z; |
---|
| 2183 | } |
---|
| 2184 | |
---|
| 2185 | /*2 |
---|
| 2186 | * z := i/j |
---|
| 2187 | */ |
---|
| 2188 | number nlInit2 (int i, int j) |
---|
| 2189 | { |
---|
| 2190 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 2191 | #if defined(LDEBUG) |
---|
| 2192 | z->debug=123456; |
---|
| 2193 | #endif |
---|
[a604c3] | 2194 | mpz_init_set_si(z->z,(long)i); |
---|
| 2195 | mpz_init_set_si(z->n,(long)j); |
---|
[35aab3] | 2196 | z->s = 0; |
---|
| 2197 | nlNormalize(z); |
---|
| 2198 | return z; |
---|
| 2199 | } |
---|
| 2200 | |
---|
[a1ab2a] | 2201 | number nlInit2gmp (mpz_t i, mpz_t j) |
---|
| 2202 | { |
---|
| 2203 | number z=(number)omAllocBin(rnumber_bin); |
---|
| 2204 | #if defined(LDEBUG) |
---|
| 2205 | z->debug=123456; |
---|
| 2206 | #endif |
---|
[a604c3] | 2207 | mpz_init_set(z->z,i); |
---|
| 2208 | mpz_init_set(z->n,j); |
---|
[a1ab2a] | 2209 | z->s = 0; |
---|
| 2210 | nlNormalize(z); |
---|
| 2211 | return z; |
---|
| 2212 | } |
---|
| 2213 | |
---|
[35aab3] | 2214 | #else // DO_LINLINE |
---|
| 2215 | |
---|
| 2216 | // declare immedate routines |
---|
| 2217 | number nlRInit (int i); |
---|
| 2218 | BOOLEAN _nlEqual_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2219 | number _nlCopy_NoImm(number a); |
---|
| 2220 | number _nlNeg_NoImm(number a); |
---|
| 2221 | number _nlAdd_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2222 | number _nlSub_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2223 | number _nlMult_aNoImm_OR_bNoImm(number a, number b); |
---|
| 2224 | number _nlMult_aImm_bImm_rNoImm(number a, number b); |
---|
| 2225 | |
---|
| 2226 | #endif |
---|
| 2227 | |
---|
| 2228 | /*************************************************************** |
---|
| 2229 | * |
---|
| 2230 | * Routines which might be inlined by p_Numbers.h |
---|
| 2231 | * |
---|
| 2232 | *******************************************************************/ |
---|
| 2233 | #if defined(DO_LINLINE) || !defined(P_NUMBERS_H) |
---|
| 2234 | |
---|
| 2235 | // routines which are always inlined/static |
---|
| 2236 | |
---|
| 2237 | /*2 |
---|
| 2238 | * a = b ? |
---|
| 2239 | */ |
---|
| 2240 | LINLINE BOOLEAN nlEqual (number a, number b) |
---|
| 2241 | { |
---|
| 2242 | #ifdef LDEBUG |
---|
| 2243 | nlTest(a); |
---|
| 2244 | nlTest(b); |
---|
| 2245 | #endif |
---|
| 2246 | // short - short |
---|
| 2247 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) return a==b; |
---|
| 2248 | return _nlEqual_aNoImm_OR_bNoImm(a, b); |
---|
| 2249 | } |
---|
| 2250 | |
---|
| 2251 | |
---|
[8391d8] | 2252 | LINLINE number nlInit (int i, const ring r) |
---|
[35aab3] | 2253 | { |
---|
| 2254 | number n; |
---|
| 2255 | if ( ((i << 3) >> 3) == i ) n=INT_TO_SR(i); |
---|
| 2256 | else n=nlRInit(i); |
---|
| 2257 | #ifdef LDEBUG |
---|
| 2258 | nlTest(n); |
---|
| 2259 | #endif |
---|
| 2260 | return n; |
---|
| 2261 | } |
---|
| 2262 | |
---|
| 2263 | |
---|
| 2264 | /*2 |
---|
| 2265 | * a == 1 ? |
---|
| 2266 | */ |
---|
| 2267 | LINLINE BOOLEAN nlIsOne (number a) |
---|
| 2268 | { |
---|
| 2269 | #ifdef LDEBUG |
---|
| 2270 | if (a==NULL) return FALSE; |
---|
| 2271 | nlTest(a); |
---|
| 2272 | #endif |
---|
[89ca47] | 2273 | return (a==INT_TO_SR(1)); |
---|
[35aab3] | 2274 | } |
---|
| 2275 | |
---|
| 2276 | LINLINE BOOLEAN nlIsZero (number a) |
---|
| 2277 | { |
---|
| 2278 | return (a==INT_TO_SR(0)); |
---|
[a604c3] | 2279 | //return (mpz_cmp_si(a->z,(long)0)==0); |
---|
[35aab3] | 2280 | } |
---|
| 2281 | |
---|
| 2282 | /*2 |
---|
| 2283 | * copy a to b |
---|
| 2284 | */ |
---|
| 2285 | LINLINE number nlCopy(number a) |
---|
| 2286 | { |
---|
| 2287 | if ((SR_HDL(a) & SR_INT)||(a==NULL)) |
---|
| 2288 | { |
---|
| 2289 | return a; |
---|
| 2290 | } |
---|
| 2291 | return _nlCopy_NoImm(a); |
---|
| 2292 | } |
---|
| 2293 | |
---|
| 2294 | |
---|
| 2295 | /*2 |
---|
| 2296 | * delete a |
---|
| 2297 | */ |
---|
| 2298 | LINLINE void nlDelete (number * a, const ring r) |
---|
| 2299 | { |
---|
| 2300 | if (*a!=NULL) |
---|
| 2301 | { |
---|
| 2302 | #ifdef LDEBUG |
---|
| 2303 | nlTest(*a); |
---|
| 2304 | #endif |
---|
| 2305 | if ((SR_HDL(*a) & SR_INT)==0) |
---|
| 2306 | { |
---|
[fee4c2] | 2307 | _nlDelete_NoImm(a); |
---|
[35aab3] | 2308 | } |
---|
| 2309 | *a=NULL; |
---|
| 2310 | } |
---|
| 2311 | } |
---|
| 2312 | |
---|
| 2313 | /*2 |
---|
| 2314 | * za:= - za |
---|
| 2315 | */ |
---|
| 2316 | LINLINE number nlNeg (number a) |
---|
| 2317 | { |
---|
| 2318 | #ifdef LDEBUG |
---|
| 2319 | nlTest(a); |
---|
| 2320 | #endif |
---|
| 2321 | if(SR_HDL(a) &SR_INT) |
---|
| 2322 | { |
---|
| 2323 | int r=SR_TO_INT(a); |
---|
| 2324 | if (r==(-(1<<28))) a=nlRInit(1<<28); |
---|
| 2325 | else a=INT_TO_SR(-r); |
---|
| 2326 | return a; |
---|
| 2327 | } |
---|
| 2328 | return _nlNeg_NoImm(a); |
---|
| 2329 | } |
---|
| 2330 | |
---|
| 2331 | /*2 |
---|
| 2332 | * u:= a + b |
---|
| 2333 | */ |
---|
| 2334 | LINLINE number nlAdd (number a, number b) |
---|
| 2335 | { |
---|
| 2336 | number u; |
---|
| 2337 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2338 | { |
---|
| 2339 | int r=SR_HDL(a)+SR_HDL(b)-1; |
---|
| 2340 | if ( ((r << 1) >> 1) == r ) |
---|
[37a003] | 2341 | return (number)(long)r; |
---|
[35aab3] | 2342 | else |
---|
| 2343 | return nlRInit(SR_TO_INT(r)); |
---|
| 2344 | } |
---|
| 2345 | return _nlAdd_aNoImm_OR_bNoImm(a, b); |
---|
| 2346 | } |
---|
| 2347 | |
---|
[18057e] | 2348 | number nlShort1(number a); |
---|
| 2349 | number nlShort3(number a); |
---|
[e8a0aa] | 2350 | |
---|
| 2351 | LINLINE number nlInpAdd (number a, number b, const ring r) |
---|
| 2352 | { |
---|
| 2353 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2354 | { |
---|
| 2355 | int r=SR_HDL(a)+SR_HDL(b)-1; |
---|
| 2356 | if ( ((r << 1) >> 1) == r ) |
---|
| 2357 | return (number)(long)r; |
---|
| 2358 | else |
---|
| 2359 | return nlRInit(SR_TO_INT(r)); |
---|
| 2360 | } |
---|
| 2361 | // a=a+b |
---|
| 2362 | if (SR_HDL(b) & SR_INT) |
---|
| 2363 | { |
---|
| 2364 | switch (a->s) |
---|
| 2365 | { |
---|
| 2366 | case 0: |
---|
| 2367 | case 1:/* b:short, a:1 */ |
---|
| 2368 | { |
---|
[a604c3] | 2369 | mpz_t x; |
---|
| 2370 | mpz_init(x); |
---|
| 2371 | mpz_mul_si(x,a->n,SR_TO_INT(b)); |
---|
| 2372 | mpz_add(a->z,a->z,x); |
---|
| 2373 | mpz_clear(x); |
---|
[e8a0aa] | 2374 | a->s = 0; |
---|
[18057e] | 2375 | a=nlShort1(a); |
---|
[e8a0aa] | 2376 | break; |
---|
| 2377 | } |
---|
| 2378 | case 3: |
---|
| 2379 | { |
---|
| 2380 | if ((long)b>0L) |
---|
[a604c3] | 2381 | mpz_add_ui(a->z,a->z,SR_TO_INT(b)); |
---|
[e8a0aa] | 2382 | else |
---|
[a604c3] | 2383 | mpz_sub_ui(a->z,a->z,-SR_TO_INT(b)); |
---|
[e8a0aa] | 2384 | a->s = 3; |
---|
[18057e] | 2385 | a=nlShort3(a); |
---|
| 2386 | //nlNormalize(a); |
---|
[e8a0aa] | 2387 | break; |
---|
| 2388 | } |
---|
| 2389 | } |
---|
| 2390 | return a; |
---|
| 2391 | } |
---|
| 2392 | if (SR_HDL(a) & SR_INT) |
---|
| 2393 | { |
---|
| 2394 | number u=(number)omAllocBin(rnumber_bin); |
---|
| 2395 | #if defined(LDEBUG) |
---|
| 2396 | u->debug=123456; |
---|
| 2397 | #endif |
---|
[a604c3] | 2398 | mpz_init(u->z); |
---|
[e8a0aa] | 2399 | switch (b->s) |
---|
| 2400 | { |
---|
| 2401 | case 0: |
---|
| 2402 | case 1:/* a:short, b:1 */ |
---|
| 2403 | { |
---|
[a604c3] | 2404 | mpz_t x; |
---|
| 2405 | mpz_init(x); |
---|
[e8a0aa] | 2406 | |
---|
[a604c3] | 2407 | mpz_mul_si(x,b->n,SR_TO_INT(a)); |
---|
| 2408 | mpz_add(u->z,b->z,x); |
---|
| 2409 | mpz_clear(x); |
---|
[e8a0aa] | 2410 | // result cannot be 0, if coeffs are normalized |
---|
[a604c3] | 2411 | mpz_init_set(u->n,b->n); |
---|
[e8a0aa] | 2412 | u->s = 0; |
---|
[18057e] | 2413 | u=nlShort1(u); |
---|
[e8a0aa] | 2414 | break; |
---|
| 2415 | } |
---|
| 2416 | case 3: |
---|
| 2417 | { |
---|
| 2418 | if ((long)a>0L) |
---|
[a604c3] | 2419 | mpz_add_ui(u->z,b->z,SR_TO_INT(a)); |
---|
[e8a0aa] | 2420 | else |
---|
[a604c3] | 2421 | mpz_sub_ui(u->z,b->z,-SR_TO_INT(a)); |
---|
[e8a0aa] | 2422 | // result cannot be 0, if coeffs are normalized |
---|
| 2423 | u->s = 3; |
---|
[18057e] | 2424 | u=nlShort3(u); |
---|
[e8a0aa] | 2425 | break; |
---|
| 2426 | } |
---|
| 2427 | } |
---|
| 2428 | #ifdef LDEBUG |
---|
| 2429 | nlTest(u); |
---|
| 2430 | #endif |
---|
| 2431 | return u; |
---|
| 2432 | } |
---|
| 2433 | else |
---|
| 2434 | { |
---|
| 2435 | switch (a->s) |
---|
| 2436 | { |
---|
| 2437 | case 0: |
---|
| 2438 | case 1: |
---|
| 2439 | { |
---|
| 2440 | switch(b->s) |
---|
| 2441 | { |
---|
| 2442 | case 0: |
---|
| 2443 | case 1: /* a:1 b:1 */ |
---|
| 2444 | { |
---|
[a604c3] | 2445 | mpz_t x; |
---|
| 2446 | mpz_t y; |
---|
| 2447 | mpz_init(x); |
---|
| 2448 | mpz_init(y); |
---|
| 2449 | mpz_mul(x,b->z,a->n); |
---|
| 2450 | mpz_mul(y,a->z,b->n); |
---|
| 2451 | mpz_add(a->z,x,y); |
---|
| 2452 | mpz_clear(x); |
---|
| 2453 | mpz_clear(y); |
---|
| 2454 | mpz_mul(a->n,a->n,b->n); |
---|
[e8a0aa] | 2455 | a->s = 0; |
---|
| 2456 | break; |
---|
| 2457 | } |
---|
| 2458 | case 3: /* a:1 b:3 */ |
---|
| 2459 | { |
---|
[a604c3] | 2460 | mpz_t x; |
---|
| 2461 | mpz_init(x); |
---|
| 2462 | mpz_mul(x,b->z,a->n); |
---|
| 2463 | mpz_add(a->z,a->z,x); |
---|
| 2464 | mpz_clear(x); |
---|
[e8a0aa] | 2465 | a->s = 0; |
---|
| 2466 | break; |
---|
| 2467 | } |
---|
| 2468 | } /*switch (b->s) */ |
---|
[18057e] | 2469 | a=nlShort1(a); |
---|
[e8a0aa] | 2470 | break; |
---|
| 2471 | } |
---|
| 2472 | case 3: |
---|
| 2473 | { |
---|
| 2474 | switch(b->s) |
---|
| 2475 | { |
---|
| 2476 | case 0: |
---|
| 2477 | case 1:/* a:3, b:1 */ |
---|
| 2478 | { |
---|
[a604c3] | 2479 | mpz_t x; |
---|
| 2480 | mpz_init(x); |
---|
| 2481 | mpz_mul(x,a->z,b->n); |
---|
| 2482 | mpz_add(a->z,b->z,x); |
---|
| 2483 | mpz_clear(x); |
---|
| 2484 | mpz_init_set(a->n,b->n); |
---|
[e8a0aa] | 2485 | a->s = 0; |
---|
[18057e] | 2486 | a=nlShort1(a); |
---|
[e8a0aa] | 2487 | break; |
---|
| 2488 | } |
---|
| 2489 | case 3: |
---|
| 2490 | { |
---|
[a604c3] | 2491 | mpz_add(a->z,a->z,b->z); |
---|
[e8a0aa] | 2492 | a->s = 3; |
---|
[18057e] | 2493 | a=nlShort3(a); |
---|
[e8a0aa] | 2494 | break; |
---|
| 2495 | } |
---|
| 2496 | } |
---|
| 2497 | break; |
---|
| 2498 | } |
---|
| 2499 | } |
---|
| 2500 | #ifdef LDEBUG |
---|
| 2501 | nlTest(a); |
---|
| 2502 | #endif |
---|
| 2503 | return a; |
---|
| 2504 | } |
---|
| 2505 | } |
---|
| 2506 | |
---|
[35aab3] | 2507 | LINLINE number nlMult (number a, number b) |
---|
| 2508 | { |
---|
| 2509 | #ifdef LDEBUG |
---|
| 2510 | nlTest(a); |
---|
| 2511 | nlTest(b); |
---|
| 2512 | #endif |
---|
| 2513 | if (a==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2514 | if (b==INT_TO_SR(0)) return INT_TO_SR(0); |
---|
| 2515 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2516 | { |
---|
| 2517 | int r=(SR_HDL(a)-1)*(SR_HDL(b)>>1); |
---|
| 2518 | if ((r/(SR_HDL(b)>>1))==(SR_HDL(a)-1)) |
---|
| 2519 | { |
---|
| 2520 | number u=((number) ((r>>1)+SR_INT)); |
---|
| 2521 | if (((SR_HDL(u)<<1)>>1)==SR_HDL(u)) return (u); |
---|
| 2522 | return nlRInit(SR_HDL(u)>>2); |
---|
| 2523 | } |
---|
| 2524 | return _nlMult_aImm_bImm_rNoImm(a, b); |
---|
| 2525 | } |
---|
| 2526 | return _nlMult_aNoImm_OR_bNoImm(a, b); |
---|
| 2527 | } |
---|
| 2528 | |
---|
| 2529 | |
---|
| 2530 | /*2 |
---|
| 2531 | * u:= a - b |
---|
| 2532 | */ |
---|
| 2533 | LINLINE number nlSub (number a, number b) |
---|
| 2534 | { |
---|
| 2535 | if (SR_HDL(a) & SR_HDL(b) & SR_INT) |
---|
| 2536 | { |
---|
| 2537 | int r=SR_HDL(a)-SR_HDL(b)+1; |
---|
| 2538 | if ( ((r << 1) >> 1) == r ) |
---|
| 2539 | { |
---|
| 2540 | return (number)r; |
---|
| 2541 | } |
---|
| 2542 | else |
---|
| 2543 | return nlRInit(SR_TO_INT(r)); |
---|
| 2544 | } |
---|
| 2545 | return _nlSub_aNoImm_OR_bNoImm(a, b); |
---|
| 2546 | } |
---|
| 2547 | |
---|
| 2548 | #endif // DO_LINLINE |
---|
| 2549 | |
---|
| 2550 | #ifndef P_NUMBERS_H |
---|
| 2551 | |
---|
[e8a0aa] | 2552 | void nlInpGcd(number &a, number b, const ring r) |
---|
[35aab3] | 2553 | { |
---|
| 2554 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2555 | { |
---|
| 2556 | number n=nlGcd(a,b,r); |
---|
| 2557 | nlDelete(&a,r); |
---|
| 2558 | a=n; |
---|
| 2559 | } |
---|
| 2560 | else |
---|
| 2561 | { |
---|
[a604c3] | 2562 | mpz_gcd(a->z,a->z,b->z); |
---|
| 2563 | if (mpz_size1(a->z)<=MP_SMALL) |
---|
[35aab3] | 2564 | { |
---|
[a604c3] | 2565 | int ui=(int)mpz_get_si(a->z); |
---|
[35aab3] | 2566 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2567 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
---|
[35aab3] | 2568 | { |
---|
[a604c3] | 2569 | mpz_clear(a->z); |
---|
[35aab3] | 2570 | omFreeBin((ADDRESS)a, rnumber_bin); |
---|
| 2571 | a=INT_TO_SR(ui); |
---|
| 2572 | } |
---|
| 2573 | } |
---|
| 2574 | } |
---|
| 2575 | } |
---|
[e8a0aa] | 2576 | void nlInpIntDiv(number &a, number b, const ring r) |
---|
[35aab3] | 2577 | { |
---|
| 2578 | if ((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2579 | { |
---|
| 2580 | number n=nlIntDiv(a,b); |
---|
| 2581 | nlDelete(&a,r); |
---|
| 2582 | a=n; |
---|
| 2583 | } |
---|
| 2584 | else |
---|
| 2585 | { |
---|
[a604c3] | 2586 | if (mpz_isNeg(a->z)) |
---|
[35aab3] | 2587 | { |
---|
[a604c3] | 2588 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2589 | { |
---|
[a604c3] | 2590 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2591 | } |
---|
| 2592 | else |
---|
| 2593 | { |
---|
[a604c3] | 2594 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2595 | } |
---|
[a604c3] | 2596 | mpz_add_ui(a->z,a->z,1); |
---|
[35aab3] | 2597 | } |
---|
| 2598 | else |
---|
| 2599 | { |
---|
[a604c3] | 2600 | if (mpz_isNeg(b->z)) |
---|
[35aab3] | 2601 | { |
---|
[a604c3] | 2602 | mpz_sub(a->z,a->z,b->z); |
---|
[35aab3] | 2603 | } |
---|
| 2604 | else |
---|
| 2605 | { |
---|
[a604c3] | 2606 | mpz_add(a->z,a->z,b->z); |
---|
[35aab3] | 2607 | } |
---|
[a604c3] | 2608 | mpz_sub_ui(a->z,a->z,1); |
---|
[35aab3] | 2609 | } |
---|
[a604c3] | 2610 | MPZ_DIV(a->z,a->z,b->z); |
---|
| 2611 | if (mpz_size1(a->z)<=MP_SMALL) |
---|
[35aab3] | 2612 | { |
---|
[a604c3] | 2613 | int ui=(int)mpz_get_si(a->z); |
---|
[35aab3] | 2614 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2615 | && (mpz_cmp_si(a->z,(long)ui)==0)) |
---|
[35aab3] | 2616 | { |
---|
[a604c3] | 2617 | mpz_clear(a->z); |
---|
[35aab3] | 2618 | omFreeBin((ADDRESS)a, rnumber_bin); |
---|
| 2619 | a=INT_TO_SR(ui); |
---|
| 2620 | } |
---|
| 2621 | } |
---|
| 2622 | } |
---|
| 2623 | } |
---|
[e8a0aa] | 2624 | void nlInpMult(number &a, number b, const ring r) |
---|
[35aab3] | 2625 | { |
---|
| 2626 | if (((SR_HDL(b)|SR_HDL(a))&SR_INT) |
---|
| 2627 | ) |
---|
| 2628 | { |
---|
| 2629 | number n=nlMult(a,b); |
---|
| 2630 | nlDelete(&a,r); |
---|
| 2631 | a=n; |
---|
| 2632 | } |
---|
| 2633 | else |
---|
| 2634 | { |
---|
[a604c3] | 2635 | mpz_mul(a->z,a->z,b->z); |
---|
[35aab3] | 2636 | if (a->s==3) |
---|
| 2637 | { |
---|
| 2638 | if(b->s!=3) |
---|
| 2639 | { |
---|
[a604c3] | 2640 | mpz_init_set(a->n,b->n); |
---|
[35aab3] | 2641 | a->s=0; |
---|
| 2642 | } |
---|
| 2643 | } |
---|
| 2644 | else |
---|
| 2645 | { |
---|
| 2646 | if(b->s!=3) |
---|
| 2647 | { |
---|
[a604c3] | 2648 | mpz_mul(a->n,a->n,b->n); |
---|
[35aab3] | 2649 | } |
---|
| 2650 | a->s=0; |
---|
| 2651 | } |
---|
| 2652 | } |
---|
| 2653 | } |
---|
| 2654 | |
---|
[4fec74] | 2655 | number nlFarey(number nN, number nP) |
---|
[3149a5] | 2656 | { |
---|
[a604c3] | 2657 | mpz_t tmp; mpz_init(tmp); |
---|
| 2658 | mpz_t A,B,C,D,E,N,P; |
---|
| 2659 | if (SR_HDL(nN) & SR_INT) mpz_init_set_si(N,SR_TO_INT(nN)); |
---|
| 2660 | else mpz_init_set(N,nN->z); |
---|
| 2661 | if (SR_HDL(nP) & SR_INT) mpz_init_set_si(P,SR_TO_INT(nP)); |
---|
| 2662 | else mpz_init_set(P,nP->z); |
---|
| 2663 | assume(!mpz_isNeg(P)); |
---|
| 2664 | if (mpz_isNeg(N)) mpz_add(N,N,P); |
---|
| 2665 | mpz_init_set_si(A,(long)0); |
---|
| 2666 | mpz_init_set_ui(B,(unsigned long)1); |
---|
| 2667 | mpz_init_set_si(C,(long)0); |
---|
| 2668 | mpz_init(D); |
---|
| 2669 | mpz_init_set(E,P); |
---|
[3149a5] | 2670 | number z=INT_TO_SR(0); |
---|
[a604c3] | 2671 | while(mpz_cmp_si(N,(long)0)!=0) |
---|
[3149a5] | 2672 | { |
---|
[a604c3] | 2673 | mpz_mul(tmp,N,N); |
---|
| 2674 | mpz_add(tmp,tmp,tmp); |
---|
| 2675 | if (mpz_cmp(tmp,P)<0) |
---|
[3149a5] | 2676 | { |
---|
| 2677 | // return N/B |
---|
| 2678 | z=(number)omAllocBin(rnumber_bin); |
---|
[a604c3] | 2679 | if (mpz_isNeg(B)) |
---|
[26300d] | 2680 | { |
---|
[a604c3] | 2681 | mpz_neg(B,B); |
---|
| 2682 | mpz_neg(N,N); |
---|
[26300d] | 2683 | } |
---|
[a604c3] | 2684 | mpz_init_set(z->z,N); |
---|
| 2685 | mpz_init_set(z->n,B); |
---|
[3149a5] | 2686 | z->s = 0; |
---|
| 2687 | nlNormalize(z); |
---|
| 2688 | break; |
---|
| 2689 | } |
---|
[a604c3] | 2690 | mpz_mod(D,E,N); |
---|
| 2691 | mpz_div(tmp,E,N); |
---|
| 2692 | mpz_mul(tmp,tmp,B); |
---|
| 2693 | mpz_sub(C,A,tmp); |
---|
| 2694 | mpz_set(E,N); |
---|
| 2695 | mpz_set(N,D); |
---|
| 2696 | mpz_set(A,B); |
---|
| 2697 | mpz_set(B,C); |
---|
| 2698 | } |
---|
| 2699 | mpz_clear(tmp); |
---|
| 2700 | mpz_clear(A); |
---|
| 2701 | mpz_clear(B); |
---|
| 2702 | mpz_clear(C); |
---|
| 2703 | mpz_clear(D); |
---|
| 2704 | mpz_clear(E); |
---|
| 2705 | mpz_clear(N); |
---|
| 2706 | mpz_clear(P); |
---|
[3149a5] | 2707 | return z; |
---|
| 2708 | } |
---|
[35aab3] | 2709 | #if 0 |
---|
| 2710 | number nlMod(number a, number b) |
---|
| 2711 | { |
---|
| 2712 | if (((SR_HDL(b)&SR_HDL(a))&SR_INT) |
---|
| 2713 | { |
---|
| 2714 | int bi=SR_TO_INT(b); |
---|
| 2715 | int ai=SR_TO_INT(a); |
---|
| 2716 | int bb=ABS(bi); |
---|
| 2717 | int c=ai%bb; |
---|
| 2718 | if (c<0) c+=bb; |
---|
| 2719 | return (INT_TO_SR(c)); |
---|
| 2720 | } |
---|
| 2721 | number al; |
---|
| 2722 | number bl; |
---|
| 2723 | if (SR_HDL(a))&SR_INT) |
---|
| 2724 | al=nlRInit(SR_TO_INT(a)); |
---|
| 2725 | else |
---|
| 2726 | al=nlCopy(a); |
---|
| 2727 | if (SR_HDL(b))&SR_INT) |
---|
| 2728 | bl=nlRInit(SR_TO_INT(b)); |
---|
| 2729 | else |
---|
| 2730 | bl=nlCopy(b); |
---|
| 2731 | number r=nlRInit(0); |
---|
| 2732 | mpz_mod(r->z,al->z,bl->z); |
---|
| 2733 | nlDelete(&al); |
---|
| 2734 | nlDelete(&bl); |
---|
| 2735 | if (mpz_size1(&r->z)<=MP_SMALL) |
---|
| 2736 | { |
---|
| 2737 | int ui=(int)mpz_get_si(&r->z); |
---|
| 2738 | if ((((ui<<3)>>3)==ui) |
---|
[a604c3] | 2739 | && (mpz_cmp_si(x->z,(long)ui)==0)) |
---|
[35aab3] | 2740 | { |
---|
| 2741 | mpz_clear(&r->z); |
---|
| 2742 | omFreeBin((ADDRESS)r, rnumber_bin); |
---|
| 2743 | r=INT_TO_SR(ui); |
---|
| 2744 | } |
---|
| 2745 | } |
---|
| 2746 | return r; |
---|
| 2747 | } |
---|
| 2748 | #endif |
---|
| 2749 | #endif // not P_NUMBERS_H |
---|
| 2750 | #endif // LONGRAT_CC |
---|