amath/src/complex.h

114 lines
3.1 KiB
C

/*-
* Copyright (c) 2014-2017 Carsten Sonne Larsen <cs@innolan.net>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* Project homepage:
* http://amath.innolan.net
*
*/
#ifndef AMATH_LIB_COMPLEX_H
#define AMATH_LIB_COMPLEX_H
/**
* @file complex.h
* @brief Functions in math library for handling complex numbers.
*
*/
#ifdef __cplusplus
extern "C" {
#endif
typedef union
{
double parts[2];
} complex;
/**
* Mostly as specified in [IEEE Std 1003.1, 2013 Edition]:
* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/complex.h.html
*
*/
double csgn(complex z);
double cabs(complex z);
double creal(complex z);
double cimag(complex z);
double cabs(complex z);
complex cexp(complex z);
complex clog(complex z);
complex conj(complex z);
complex csqrt(complex z);
complex cpow(complex x, complex z);
complex cpack(double x, double y);
/* Internal functions */
complex cadd(complex a, complex z);
complex csub(complex a, complex z);
complex cmul(complex a, complex z);
complex cdiv(complex a, complex z);
/* Standard math functions */
complex cceil(complex z);
complex cfloor(complex z);
complex ctrunc(complex z);
complex cround(complex z);
complex creci(complex z);
complex ccbrt(complex z);
complex clogb(complex z);
complex clog10(complex z);
/* Trigonometric functions */
complex ccos(complex z);
complex csin(complex z);
complex ctan(complex z);
complex csec(complex z);
complex ccsc(complex z);
complex ccot(complex z);
complex cacos(complex z);
complex casin(complex z);
complex catan(complex z);
complex casec(complex z);
complex cacsc(complex z);
complex cacot(complex z);
/* Hyperbolic functions */
complex ccosh(complex z);
complex csinh(complex z);
complex ctanh(complex z);
complex csech(complex z);
complex ccsch(complex z);
complex ccoth(complex z);
complex cacosh(complex z);
complex casinh(complex z);
complex catanh(complex z);
complex casech(complex z);
complex cacsch(complex z);
complex cacoth(complex z);
#ifdef __cplusplus
}
#endif
#endif