complex_arith.h File Reference

Complex arithmetic. More...

Detailed Description

Complex arithmetic.

Author

Pascal Getreuer getre.nosp@m.uer@.nosp@m.cmla..nosp@m.ens-.nosp@m.cacha.nosp@m.n.fr

This file is a light C89-compatible implementation of complex arithmetic. Functions are defined for addition, subtraction, multiplication, division, magnitude, argument (angle), power, sqrt, exp, and logarithm.

Copyright (c) 2013, Pascal Getreuer All rights reserved.

This program is free software: you can redistribute it and/or modify it under, at your option, the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version, or the terms of the simplified BSD license.

You should have received a copy of these licenses along with this program. If not, see http://www.gnu.org/licenses/ and http://www.opensource.org/licenses/bsd-license.html.

Definition in file complex_arith.h.

#include <math.h>

Go to the source code of this file.

Data Structures
struct	_complex_type
	Complex double data type. More...

Macros
#define	complex   _complex_type
	Short alias for _complex_type.

Typedefs
typedef struct _complex_type	_complex_type
	Complex double data type.

Functions
static complex	make_complex (double a, double b)
	Make a complex number z = a + ib.
static complex	c_conj (complex z)
	Complex conjugate z*.
static complex	c_add (complex w, complex z)
	Complex addition.
static complex	c_neg (complex z)
	Complex negation -z.
static complex	c_sub (complex w, complex z)
	Complex subtraction.
static complex	c_mul (complex w, complex z)
	Complex multiplication.
static complex	c_inv (complex z)
	Complex multiplicative inverse 1/z.
static complex	c_div (complex w, complex z)
	Complex division w/z.
static double	c_mag (complex z)
	Complex magnitude.
static double	c_arg (complex z)
	Complex argument (angle) in [-pi,+pi].
static complex	c_pow (complex w, complex z)
	Complex power w^z.
static complex	c_real_pow (complex w, double x)
	Complex power w^x with real exponent.
static complex	c_sqrt (complex z)
	Complex square root (principal branch).
static complex	c_exp (complex z)
	Complex exponential.
static complex	c_log (complex z)
	Complex logarithm (principal branch).