1 | #ifndef LONGALG_H |
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2 | #define LONGALG_H |
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3 | /**************************************** |
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4 | * Computer Algebra System SINGULAR * |
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5 | ****************************************/ |
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6 | /* $Id: longalg.h,v 1.18 2000-12-07 15:21:07 Singular Exp $ */ |
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7 | /* |
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8 | * ABSTRACT: algebraic numbers |
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9 | */ |
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10 | #include "structs.h" |
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11 | #include "longrat.h" |
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12 | #include "polys-impl.h" |
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13 | |
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14 | struct slnumber; |
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15 | typedef struct slnumber * lnumber; |
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16 | |
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17 | //make parameter type same as exponent type |
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18 | #define PARAMETER_TYPE short |
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19 | #define SIZEOF_PARAMETER SIZEOF_SHORT |
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20 | |
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21 | struct reca |
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22 | { |
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23 | alg ne; |
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24 | number ko; |
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25 | PARAMETER_TYPE e[1]; |
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26 | }; |
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27 | |
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28 | struct slnumber |
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29 | { |
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30 | alg z; |
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31 | alg n; |
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32 | BOOLEAN s; |
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33 | }; |
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34 | |
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35 | extern int naNumbOfPar; /* maximal number of parameters */ |
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36 | extern alg naMinimalPoly; |
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37 | extern char **naParNames; |
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38 | extern int napMonomSize; |
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39 | |
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40 | void naSetChar(int p, BOOLEAN complete, ring r); |
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41 | #define napAddExp(p,i,e) ((p)->e[i-1]+=(e)) |
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42 | #ifdef LDEBUG |
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43 | void naDBDelete (number *p,char *f, int l); |
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44 | #define naDelete(A) naDBDelete(A,__FILE__,__LINE__) |
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45 | #else |
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46 | void naDelete (number *p); |
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47 | #endif |
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48 | number naInit(int i); /* z := i */ |
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49 | number naPar(int i); /* z := par(i) */ |
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50 | int naParDeg(number n); /* i := deg(n) */ |
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51 | int naSize(number n); /* size desc. */ |
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52 | int naInt(number &n); |
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53 | void naNumberToInt(number n, int *i); |
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54 | void naNew(number *z); |
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55 | BOOLEAN naIsZero(number za); /* za = 0 ? */ |
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56 | BOOLEAN naIsOne(number za); /* za = 1 ? */ |
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57 | BOOLEAN naIsMOne(number za); /* za = -1 ? */ |
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58 | BOOLEAN naEqual(number a, number b); /* a = b ? */ |
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59 | BOOLEAN naGreater(number a, number b); /* dummy */ |
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60 | number naNeg(number za); /* za := - za */ |
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61 | number naInvers(number a); |
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62 | BOOLEAN naGreaterZero(number a); |
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63 | void naPower(number x, int exp, number *lo); |
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64 | BOOLEAN naGreaterZero(number a); |
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65 | number naCopy(number p); /* erg:= p */ |
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66 | number naAdd(number la, number li); /* lu := la+li */ |
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67 | number naMult(number la, number li); /* lo := la*li */ |
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68 | number naDiv(number la, number li); /* lo := la/li */ |
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69 | number naIntDiv(number la, number li); /* lo := la/li */ |
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70 | //number naIntMod(number la, number li); /* lo := la/li */ |
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71 | number naSub(number la, number li); /* lu := la-li */ |
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72 | void naNormalize(number &p); |
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73 | number naGcd(number a, number b); |
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74 | number naLcm(number a, number b); |
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75 | char * naRead(char * s, number * p); |
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76 | void naWrite(number &p); |
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77 | char * naName(number n); |
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78 | BOOLEAN naSetMap(ring r); |
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79 | #ifdef LDEBUG |
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80 | BOOLEAN naDBTest(number a, char *f,int l); |
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81 | #endif |
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82 | |
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83 | void naSetIdeal(ideal I); |
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84 | |
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85 | // external access to the interna |
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86 | #define RECA_SIZE (sizeof(alg)+sizeof(number)) |
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87 | alg napAdd(alg p1, alg p2); |
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88 | void napDelete(alg *p); |
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89 | poly naPermNumber(number z, int * par_perm, int P); |
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90 | #define napVariables naNumbOfPar |
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91 | #define napNext(p) (p->ne) |
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92 | #define napGetCoeff(p) (p->ko) |
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93 | #define napGetExp(p,i) (p->e[(i)-1]) |
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94 | #define napNew() ((alg)omAlloc0(napMonomSize)) |
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95 | #define nanumber lnumber |
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96 | #define naGetNom0(na) (((nanumber)(na))->z) |
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97 | #define naGetDenom0(na) (((nanumber)(na))->n) |
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98 | extern number (*nacCopy)(number a); |
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99 | extern BOOLEAN (*nacIsZero)(number a); |
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100 | extern number (*nacInit)(int i); |
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101 | extern void (*nacNormalize)(number &a); |
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102 | extern void napWrite(alg l); |
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103 | extern number naGetDenom(number &n); |
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104 | #endif |
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105 | |
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