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a31078bbec
Some folks might think: “you still use RCS”?!? And we will say, hey, at least we switched from SCCS to RCS back in … I think it was around 1994 ... at least we are keeping up! :-) :-) :-) Logs say that SCCS version 18 became RCS version 19 on 1994 March 18. RCS served us well. But now it is time to move on. And so we are switching to git. Calc releases produce a lot of file changes. In the 125 releases of calc since 1996, when I started managing calc releases, there have been 15473 file mods!
156 lines
5.1 KiB
C
156 lines
5.1 KiB
C
/*
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* cmath - data structures for extended precision complex arithmetic
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*
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* Copyright (C) 1999-2007,2014 David I. Bell
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*
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* Calc is open software; you can redistribute it and/or modify it under
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* the terms of the version 2.1 of the GNU Lesser General Public License
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* as published by the Free Software Foundation.
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*
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* Calc is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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* Public License for more details.
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*
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* A copy of version 2.1 of the GNU Lesser General Public License is
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* distributed with calc under the filename COPYING-LGPL. You should have
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* received a copy with calc; if not, write to Free Software Foundation, Inc.
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* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* Under source code control: 1993/07/30 19:42:45
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* File existed as early as: 1993
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*
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* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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*/
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#if !defined(INCLUDE_CMATH_H)
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#define INCLUDE_CMATH_H
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#if defined(CALC_SRC) /* if we are building from the calc source tree */
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# include "qmath.h"
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#else
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# include <calc/qmath.h>
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#endif
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/*
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* Complex arithmetic definitions.
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*/
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typedef struct {
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NUMBER *real; /* real part of number */
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NUMBER *imag; /* imaginary part of number */
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long links; /* link count */
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} COMPLEX;
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/*
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* Input, output, and conversion routines.
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*/
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E_FUNC COMPLEX *comalloc(void);
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E_FUNC COMPLEX *qqtoc(NUMBER *q1, NUMBER *q2);
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E_FUNC void comfree(COMPLEX *c);
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E_FUNC void comprint(COMPLEX *c);
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E_FUNC void cprintfr(COMPLEX *c);
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/*
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* Basic numeric routines.
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*/
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E_FUNC COMPLEX *c_add(COMPLEX *c1, COMPLEX *c2);
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E_FUNC COMPLEX *c_sub(COMPLEX *c1, COMPLEX *c2);
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E_FUNC COMPLEX *c_mul(COMPLEX *c1, COMPLEX *c2);
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E_FUNC COMPLEX *c_div(COMPLEX *c1, COMPLEX *c2);
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E_FUNC COMPLEX *c_addq(COMPLEX *c, NUMBER *q);
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E_FUNC COMPLEX *c_subq(COMPLEX *c, NUMBER *q);
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E_FUNC COMPLEX *c_mulq(COMPLEX *c, NUMBER *q);
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E_FUNC COMPLEX *c_divq(COMPLEX *c, NUMBER *q);
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E_FUNC COMPLEX *c_scale(COMPLEX *c, long i);
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E_FUNC COMPLEX *c_shift(COMPLEX *c, long i);
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E_FUNC COMPLEX *c_square(COMPLEX *c);
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E_FUNC COMPLEX *c_conj(COMPLEX *c);
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E_FUNC COMPLEX *c_real(COMPLEX *c);
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E_FUNC COMPLEX *c_imag(COMPLEX *c);
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E_FUNC COMPLEX *c_neg(COMPLEX *c);
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E_FUNC COMPLEX *c_inv(COMPLEX *c);
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E_FUNC COMPLEX *c_int(COMPLEX *c);
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E_FUNC COMPLEX *c_frac(COMPLEX *c);
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E_FUNC BOOL c_cmp(COMPLEX *c1, COMPLEX *c2);
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/*
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* More complicated functions.
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*/
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E_FUNC COMPLEX *c_powi(COMPLEX *c, NUMBER *q);
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E_FUNC NUMBER *c_ilog(COMPLEX *c, ZVALUE base);
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/*
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* Transcendental routines. These all take an epsilon argument to
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* specify how accurately these are to be calculated.
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*/
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E_FUNC COMPLEX *c_power(COMPLEX *c1, COMPLEX *c2, NUMBER *epsilon);
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E_FUNC COMPLEX *c_sqrt(COMPLEX *c, NUMBER *epsilon, long R);
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E_FUNC COMPLEX *c_root(COMPLEX *c, NUMBER *q, NUMBER *epsilon);
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E_FUNC COMPLEX *c_exp(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_ln(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_log(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_cos(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_sin(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_cosh(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_sinh(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_polar(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
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E_FUNC COMPLEX *c_rel(COMPLEX *c1, COMPLEX *c2);
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E_FUNC COMPLEX *c_asin(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acos(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_atan(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acot(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_asec(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acsc(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_asinh(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acosh(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_atanh(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acoth(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_asech(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acsch(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_gd(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_agd(COMPLEX *c, NUMBER *epsilon);
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/*
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* external functions
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*/
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E_FUNC COMPLEX *swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all);
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E_FUNC COMPLEX *swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all);
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E_FUNC COMPLEX *swap_HALF_in_COMPLEX(COMPLEX *dest, COMPLEX *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 cisreal(c) (qiszero((c)->imag))
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#define cisimag(c) (qiszero((c)->real) && !cisreal(c))
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#define ciszero(c) (cisreal(c) && qiszero((c)->real))
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#define cisone(c) (cisreal(c) && qisone((c)->real))
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#define cisnegone(c) (cisreal(c) && qisnegone((c)->real))
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#define cisrunit(c) (cisreal(c) && qisunit((c)->real))
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#define cisiunit(c) (qiszero((c)->real) && qisunit((c)->imag))
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#define cisunit(c) (cisrunit(c) || cisiunit(c))
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#define cistwo(c) (cisreal(c) && qistwo((c)->real))
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#define cisint(c) (qisint((c)->real) && qisint((c)->imag))
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#define ciseven(c) (qiseven((c)->real) && qiseven((c)->imag))
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#define cisodd(c) (qisodd((c)->real) || qisodd((c)->imag))
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#define clink(c) ((c)->links++, (c))
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/*
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* Pre-defined values.
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*/
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EXTERN COMPLEX _czero_, _cone_, _conei_;
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#endif /* !INCLUDE_CMATH_H */
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