mirror of
https://github.com/lcn2/calc.git
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235 lines
8.4 KiB
C
235 lines
8.4 KiB
C
/*
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* Copyright (c) 1995 David I. Bell
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* Permission is granted to use, distribute, or modify this source,
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* provided that this copyright notice remains intact.
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*
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* Data structure declarations for extended precision rational arithmetic.
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*/
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#ifndef QMATH_H
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#define QMATH_H
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#include "zmath.h"
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/*
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* Rational arithmetic definitions.
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*/
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typedef struct {
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ZVALUE num; /* numerator (containing sign) */
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ZVALUE den; /* denominator (always positive) */
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long links; /* number of links to this value */
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} NUMBER;
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extern NUMBER _qlge_;
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/*
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* Input. output, allocation, and conversion routines.
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*/
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extern NUMBER *qalloc(void);
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extern NUMBER *qcopy(NUMBER *q);
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extern NUMBER *uutoq(FULL i1, FULL i2);
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extern NUMBER *iitoq(long i1, long i2);
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extern NUMBER *str2q(char *str);
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extern NUMBER *itoq(long i);
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extern NUMBER *utoq(FULL i);
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extern long qtoi(NUMBER *q);
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extern FULL qtou(NUMBER *q);
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extern long qparse(char *str, int flags);
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extern void qfreenum(NUMBER *q);
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extern void qprintnum(NUMBER *q, int mode);
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extern void qprintff(NUMBER *q, long width, long precision);
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extern void qprintfe(NUMBER *q, long width, long precision);
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extern void qprintfr(NUMBER *q, long width, BOOL force);
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extern void qprintfd(NUMBER *q, long width);
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extern void qprintfx(NUMBER *q, long width);
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extern void qprintfb(NUMBER *q, long width);
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extern void qprintfo(NUMBER *q, long width);
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extern void qprintf(char *, ...);
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/*
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* Basic numeric routines.
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*/
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extern NUMBER *qaddi(NUMBER *q, long i);
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extern NUMBER *qmuli(NUMBER *q, long i);
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extern NUMBER *qdivi(NUMBER *q, long i);
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extern NUMBER *qqadd(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qsub(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qmul(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qdiv(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qquo(NUMBER *q1, NUMBER *q2, long rnd);
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extern NUMBER *qmod(NUMBER *q1, NUMBER *q2, long rnd);
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extern NUMBER *qmin(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qmax(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qand(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qor(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qxor(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qpowermod(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern NUMBER *qpowi(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qsquare(NUMBER *q);
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extern NUMBER *qneg(NUMBER *q);
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extern NUMBER *qsign(NUMBER *q);
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extern NUMBER *qint(NUMBER *q);
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extern NUMBER *qfrac(NUMBER *q);
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extern NUMBER *qnum(NUMBER *q);
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extern NUMBER *qden(NUMBER *q);
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extern NUMBER *qinv(NUMBER *q);
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extern NUMBER *qabs(NUMBER *q);
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extern NUMBER *qinc(NUMBER *q);
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extern NUMBER *qdec(NUMBER *q);
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extern NUMBER *qshift(NUMBER *q, long n);
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extern NUMBER *qtrunc(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qround(NUMBER *q, long places, long rnd);
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extern NUMBER *qbtrunc(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qbround(NUMBER *q, long places, long rnd);
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extern NUMBER *qscale(NUMBER *q, long i);
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extern BOOL qdivides(NUMBER *q1, NUMBER *q2);
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extern BOOL qcmp(NUMBER *q1, NUMBER *q2);
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extern BOOL qcmpi(NUMBER *q, long i);
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extern FLAG qrel(NUMBER *q1, NUMBER *q2);
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extern FLAG qreli(NUMBER *q, long i);
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extern BOOL qisset(NUMBER *q, long i);
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/*
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* More complicated numeric functions.
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*/
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extern NUMBER *qcomb(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qgcd(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qlcm(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qfact(NUMBER *q);
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extern NUMBER *qpfact(NUMBER *q);
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extern NUMBER *qminv(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qfacrem(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qperm(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qgcdrem(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qlowfactor(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qfib(NUMBER *q);
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extern NUMBER *qcfappr(NUMBER *q, NUMBER *epsilon, long R);
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extern NUMBER *qcfsim(NUMBER *q, long R);
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extern NUMBER *qisqrt(NUMBER *q);
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extern NUMBER *qjacobi(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qiroot(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qmappr(NUMBER *q, NUMBER *e, long R);
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extern NUMBER *qlcmfact(NUMBER *q);
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extern NUMBER *qredcin(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qredcout(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qredcmul(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern NUMBER *qredcsquare(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qredcpower(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern BOOL qprimetest(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern BOOL qissquare(NUMBER *q);
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extern long qilog2(NUMBER *q);
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extern long qilog10(NUMBER *q);
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extern long qilog(NUMBER *q1, NUMBER *q2);
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extern BOOL qcmpmod(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern BOOL qquomod(NUMBER *q1, NUMBER *q2, NUMBER **retdiv, NUMBER **retmod);
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extern FLAG qnear(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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extern long qdigit(NUMBER *q, long i);
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extern long qprecision(NUMBER *q);
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extern long qplaces(NUMBER *q);
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extern long qdigits(NUMBER *q);
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extern void setepsilon(NUMBER *q);
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extern NUMBER *qbitvalue(long i);
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extern NUMBER *qtenpow(long i);
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#if 0
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extern NUMBER *qmulmod(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern NUMBER *qsquaremod(NUMBER *q1, NUMBER *q2);
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extern NUMBER *qaddmod(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern NUMBER *qsubmod(NUMBER *q1, NUMBER *q2, NUMBER *q3);
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extern NUMBER *qreadval(FILE *fp);
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extern NUMBER *qnegmod(NUMBER *q1, NUMBER *q2);
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extern BOOL qbittest(NUMBER *q, long i);
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extern FLAG qtest(NUMBER *q);
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#endif
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/*
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* Transcendental functions. These all take an epsilon argument to
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* specify the required accuracy of the calculation.
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*/
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extern void qsincos(NUMBER *q, long bitnum, NUMBER **vs, NUMBER **vc);
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extern NUMBER *qsqrt(NUMBER *q, NUMBER *epsilon, long R);
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extern NUMBER *qpower(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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extern NUMBER *qroot(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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extern NUMBER *qcos(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qsin(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qexp(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qln(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qtan(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qsec(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qcot(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qcsc(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacos(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qasin(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qatan(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qasec(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacsc(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacot(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qatan2(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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extern NUMBER *qhypot(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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extern NUMBER *qcosh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qsinh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qtanh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qcoth(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qsech(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qcsch(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacosh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qasinh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qatanh(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qasech(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacsch(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qacoth(NUMBER *q, NUMBER *epsilon);
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extern NUMBER *qlegtoleg(NUMBER *q, NUMBER *epsilon, BOOL wantneg);
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extern NUMBER *qpi(NUMBER *epsilon);
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/*
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* external swap functions
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*/
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extern NUMBER *swap_b8_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all);
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extern NUMBER *swap_b16_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all);
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extern NUMBER *swap_HALF_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all);
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/*
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* macro expansions to speed this thing up
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*/
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#define qiszero(q) (ziszero((q)->num))
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#define qisneg(q) (zisneg((q)->num))
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#define qispos(q) (zispos((q)->num))
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#define qisint(q) (zisunit((q)->den))
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#define qisfrac(q) (!zisunit((q)->den))
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#define qisunit(q) (zisunit((q)->num) && zisunit((q)->den))
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#define qisone(q) (zisone((q)->num) && zisunit((q)->den))
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#define qisnegone(q) (zisnegone((q)->num) && zisunit((q)->den))
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#define qistwo(q) (zistwo((q)->num) && zisunit((q)->den))
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#define qiseven(q) (zisunit((q)->den) && ziseven((q)->num))
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#define qisodd(q) (zisunit((q)->den) && zisodd((q)->num))
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#define qistwopower(q) (zisunit((q)->den) && zistwopower((q)->num))
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#define qhighbit(q) (zhighbit((q)->num))
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#define qlowbit(q) (zlowbit((q)->num))
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#define qdivcount(q1, q2) (zdivcount((q1)->num, (q2)->num))
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#define qlink(q) ((q)->links++, (q))
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#define qfree(q) {if (--((q)->links) <= 0) qfreenum(q);}
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/*
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* Flags for qparse calls
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*/
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#define QPF_SLASH 0x1 /* allow slash for fractional number */
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#define QPF_IMAG 0x2 /* allow trailing 'i' for imaginary number */
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/*
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* constants used often by the arithmetic routines
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*/
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extern NUMBER _qzero_, _qone_, _qnegone_, _qonehalf_, _qonesqbase_;
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#endif
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