mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
5d62e58704
Fixed SEE ALSO typo in help randperm.
Added the following new trigonometric functions:
haversin(x [,eps]) half versed trigonometric sine
hacoversin(x [,eps]) half coversed trigonometric sine
havercos(x [,eps]) half versed trigonometric cosine
hacovercos(x [,eps]) half coversed trigonometric cosine
ahaversin(x [,eps]) inverse half versed trigonometric sine
ahacoversin(x [,eps]) inverse half coversed trigonometric sine
ahavercos(x [,eps]) inverse half versed trigonometric cosine
ahacovercos(x [,eps]) inverse half coversed trigonometric cosine
Fixed calc regression test 42dd to set the display value back to 20.
Added test 95dd and test9500.trigeq.cal to the calc regression test
suite to perform extensive test of trigonometric functions.
Fix and improve recently comments and variable names added new
trigonometric functions in comfunc.c, func.c, qtrans.c.
183 lines
6.5 KiB
C
183 lines
6.5 KiB
C
/*
|
|
* cmath - data structures for extended precision complex arithmetic
|
|
*
|
|
* Copyright (C) 1999-2007,2014,2023 David I. Bell and Landon Curt Noll
|
|
*
|
|
* 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.
|
|
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
*
|
|
* 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(INCLUDE_CMATH_H)
|
|
#define INCLUDE_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.
|
|
*/
|
|
E_FUNC COMPLEX *cmappr(COMPLEX *c, NUMBER *e, long rnd, bool cfree);
|
|
E_FUNC COMPLEX *comalloc(void);
|
|
E_FUNC COMPLEX *qqtoc(NUMBER *q1, NUMBER *q2);
|
|
E_FUNC void comfree(COMPLEX *c);
|
|
E_FUNC void comprint(COMPLEX *c);
|
|
E_FUNC void cprintfr(COMPLEX *c);
|
|
|
|
|
|
/*
|
|
* Basic numeric routines.
|
|
*/
|
|
|
|
E_FUNC COMPLEX *c_add(COMPLEX *c1, COMPLEX *c2);
|
|
E_FUNC COMPLEX *c_sub(COMPLEX *c1, COMPLEX *c2);
|
|
E_FUNC COMPLEX *c_mul(COMPLEX *c1, COMPLEX *c2);
|
|
E_FUNC COMPLEX *c_div(COMPLEX *c1, COMPLEX *c2);
|
|
E_FUNC COMPLEX *c_addq(COMPLEX *c, NUMBER *q);
|
|
E_FUNC COMPLEX *c_subq(COMPLEX *c, NUMBER *q);
|
|
E_FUNC COMPLEX *c_mulq(COMPLEX *c, NUMBER *q);
|
|
E_FUNC COMPLEX *c_divq(COMPLEX *c, NUMBER *q);
|
|
E_FUNC COMPLEX *c_scale(COMPLEX *c, long i);
|
|
E_FUNC COMPLEX *c_shift(COMPLEX *c, long i);
|
|
E_FUNC COMPLEX *c_square(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_conj(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_real(COMPLEX *c);
|
|
E_FUNC NUMBER *c_to_q(COMPLEX *c, bool cfree);
|
|
E_FUNC COMPLEX *c_imag(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_neg(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_inv(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_int(COMPLEX *c);
|
|
E_FUNC COMPLEX *c_frac(COMPLEX *c);
|
|
E_FUNC bool c_cmp(COMPLEX *c1, COMPLEX *c2);
|
|
|
|
|
|
/*
|
|
* More complicated functions.
|
|
*/
|
|
E_FUNC COMPLEX *c_powi(COMPLEX *c, NUMBER *q);
|
|
E_FUNC NUMBER *c_ilog(COMPLEX *c, ZVALUE base);
|
|
|
|
|
|
/*
|
|
* Transcendental routines. These all take an epsilon argument to
|
|
* specify how accurately these are to be calculated.
|
|
*/
|
|
E_FUNC COMPLEX *c_power(COMPLEX *c1, COMPLEX *c2, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_sqrt(COMPLEX *c, NUMBER *epsilon, long R);
|
|
E_FUNC COMPLEX *c_root(COMPLEX *c, NUMBER *q, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_exp(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_ln(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_log(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_log2(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_cos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_sin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_cosh(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_sinh(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_polar(NUMBER *q1, NUMBER *q2, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_rel(COMPLEX *c1, COMPLEX *c2);
|
|
E_FUNC COMPLEX *c_asin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_tan(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_atan(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_cot(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acot(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_sec(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_asec(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_csc(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acsc(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_asinh(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acosh(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_atanh(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acoth(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_asech(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acsch(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_gd(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_agd(COMPLEX *c, NUMBER *epsilon);
|
|
|
|
/*
|
|
* historical trig functions
|
|
*/
|
|
E_FUNC COMPLEX *c_versin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_aversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_coversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acoversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_vercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_avercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_covercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_acovercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_haversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_ahaversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_hacoversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_ahacoversin(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_havercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_ahavercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_hacovercos(COMPLEX *c, NUMBER *epsilon);
|
|
E_FUNC COMPLEX *c_ahacovercos(COMPLEX *c, NUMBER *epsilon);
|
|
|
|
|
|
|
|
/*
|
|
* external functions
|
|
*/
|
|
E_FUNC COMPLEX *swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, bool all);
|
|
E_FUNC COMPLEX *swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, bool all);
|
|
E_FUNC 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 /* !INCLUDE_CMATH_H */
|