mirror of
https://github.com/lcn2/calc.git
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86f1d9e029
Added new aversin(x, [,eps]) for inverse versed sine and acoversin(x, [,eps]) for inverse coversed sine. Improved trig function help files to reference use of complex arguments that while supported were not documented. Removed old Makefile testing rules for make dbx and make gdb. Improved "make run" to execute calccalc using shared libraries from the local directory, and with reading of the startup scripts disabled. Changed "make prep" to perform various tests that are used to help verify that calc is ready for a release. Added Makefile testing rule testfuncsort to check for the sort of the builtin function list. Changed the order that builtin functions are listed by "show builtin" and the help/builtin to match the sorting of "LANG=C LC_ALL=C sort -d -u".
165 lines
5.5 KiB
C
165 lines
5.5 KiB
C
/*
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* cmath - data structures for extended precision complex arithmetic
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*
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* Copyright (C) 1999-2007,2014,2023 David I. Bell and Landon Curt Noll
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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_log2(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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* historical trig functions
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*/
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E_FUNC COMPLEX *c_versin(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_aversin(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_coversin(COMPLEX *c, NUMBER *epsilon);
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E_FUNC COMPLEX *c_acoversin(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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