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/*
* cmath - data structures for extended precision complex arithmetic
*
* Copyright (C) 1999 David I. Bell
*
* Calc is open software; you can redistribute it and/or modify it under
* the terms of the version 2.1 of the GNU Lesser General Public License
* as published by the Free Software Foundation.
*
* Calc is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
* Public License for more details.
*
* A copy of version 2.1 of the GNU Lesser General Public License is
* distributed with calc under the filename COPYING-LGPL. You should have
* received a copy with calc; if not, write to Free Software Foundation, Inc.
* 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.
*
* @(#) $Revision: 29.7 $
* @(#) $Id: cmath.h,v 29.7 2005/10/18 10:43:49 chongo Exp $
* @(#) $Source: /usr/local/src/cmd/calc/RCS/cmath.h,v $
*
* Under source code control: 1993/07/30 19:42:45
* File existed as early as: 1993
*
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
#if !defined(__CMATH_H__)
#define __CMATH_H__
#if defined(CALC_SRC) /* if we are building from the calc source tree */
# include "qmath.h"
#else
# include <calc/qmath.h>
#endif
/*
* Complex arithmetic definitions.
*/
typedef struct {
NUMBER *real; /* real part of number */
NUMBER *imag; /* imaginary part of number */
long links; /* link count */
} COMPLEX;
/*
* Input, output, and conversion routines.
*/
extern COMPLEX *comalloc(void);
extern COMPLEX *qqtoc(NUMBER *q1, NUMBER *q2);
extern void comfree(COMPLEX *c);
extern void comprint(COMPLEX *c);
extern void cprintfr(COMPLEX *c);
/*
* Basic numeric routines.
*/
extern COMPLEX *c_add(COMPLEX *c1, COMPLEX *c2);
extern COMPLEX *c_sub(COMPLEX *c1, COMPLEX *c2);
extern COMPLEX *c_mul(COMPLEX *c1, COMPLEX *c2);
extern COMPLEX *c_div(COMPLEX *c1, COMPLEX *c2);
extern COMPLEX *c_addq(COMPLEX *c, NUMBER *q);
extern COMPLEX *c_subq(COMPLEX *c, NUMBER *q);
extern COMPLEX *c_mulq(COMPLEX *c, NUMBER *q);
extern COMPLEX *c_divq(COMPLEX *c, NUMBER *q);
extern COMPLEX *c_scale(COMPLEX *c, long i);
extern COMPLEX *c_shift(COMPLEX *c, long i);
extern COMPLEX *c_square(COMPLEX *c);
extern COMPLEX *c_conj(COMPLEX *c);
extern COMPLEX *c_real(COMPLEX *c);
extern COMPLEX *c_imag(COMPLEX *c);
extern COMPLEX *c_neg(COMPLEX *c);
extern COMPLEX *c_inv(COMPLEX *c);
extern COMPLEX *c_int(COMPLEX *c);
extern COMPLEX *c_frac(COMPLEX *c);
extern BOOL c_cmp(COMPLEX *c1, COMPLEX *c2);
/*
* More complicated functions.
*/
extern COMPLEX *c_powi(COMPLEX *c, NUMBER *q);
extern NUMBER *c_ilog(COMPLEX *c, ZVALUE base);
/*
* Transcendental routines. These all take an epsilon argument to
* specify how accurately these are to be calculated.
*/
extern COMPLEX *c_power(COMPLEX *c1, COMPLEX *c2, NUMBER *epsilon);
extern COMPLEX *c_sqrt(COMPLEX *c, NUMBER *epsilon, long R);
extern COMPLEX *c_root(COMPLEX *c, NUMBER *q, NUMBER *epsilon);
extern COMPLEX *c_exp(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_ln(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_log(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_cos(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_sin(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_cosh(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_sinh(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_polar(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
extern COMPLEX *c_rel(COMPLEX *c1, COMPLEX *c2);
extern COMPLEX *c_asin(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acos(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_atan(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acot(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_asec(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acsc(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_asinh(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acosh(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_atanh(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acoth(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_asech(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_acsch(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_gd(COMPLEX *c, NUMBER *epsilon);
extern COMPLEX *c_agd(COMPLEX *c, NUMBER *epsilon);
/*
* external functions
*/
extern COMPLEX *swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all);
extern COMPLEX *swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all);
extern COMPLEX *swap_HALF_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all);
/*
* macro expansions to speed this thing up
*/
#define cisreal(c) (qiszero((c)->imag))
#define cisimag(c) (qiszero((c)->real) && !cisreal(c))
#define ciszero(c) (cisreal(c) && qiszero((c)->real))
#define cisone(c) (cisreal(c) && qisone((c)->real))
#define cisnegone(c) (cisreal(c) && qisnegone((c)->real))
#define cisrunit(c) (cisreal(c) && qisunit((c)->real))
#define cisiunit(c) (qiszero((c)->real) && qisunit((c)->imag))
#define cisunit(c) (cisrunit(c) || cisiunit(c))
#define cistwo(c) (cisreal(c) && qistwo((c)->real))
#define cisint(c) (qisint((c)->real) && qisint((c)->imag))
#define ciseven(c) (qiseven((c)->real) && qiseven((c)->imag))
#define cisodd(c) (qisodd((c)->real) || qisodd((c)->imag))
#define clink(c) ((c)->links++, (c))
/*
* Pre-defined values.
*/
extern COMPLEX _czero_, _cone_, _conei_;
#endif /* !__CMATH_H__ */
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