1.\" Copyright (c) 2011 Murray Stokely <murray@FreeBSD.org> 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. 9.\" 2. Redistributions in binary form must reproduce the above copyright 10.\" notice, this list of conditions and the following disclaimer in the 11.\" documentation and/or other materials provided with the distribution. 12.\" 13.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND 14.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 15.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 16.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE 17.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 18.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 19.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 20.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 21.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 22.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 23.\" SUCH DAMAGE. 24.\" 25.\" $FreeBSD$ 26.\" 27.Dd October 17, 2011 28.Dt COMPLEX 3 29.Os 30.Sh NAME 31.Nm complex 32.Nd "complex arithmetic" 33.Sh LIBRARY 34.Lb libm 35.Sh SYNOPSIS 36.In complex.h 37.Sh DESCRIPTION 38These functions support complex arithmetic in the C math library. 39.Sh "LIST OF FUNCTIONS" 40Each of the following 41.Vt "double complex" 42functions has a 43.Vt "float complex" 44counterpart with an 45.Ql f 46appended to the name and a 47.Vt "long double complex" 48counterpart with an 49.Ql l 50appended. 51As an example, the 52.Vt "float complex" 53and 54.Vt "long double complex" 55counterparts of 56.Ft double 57.Fn cabs "double complex z" 58are 59.Ft float 60.Fn cabsf "float complex z" 61and 62.Ft "long double" 63.Fn cabsl "long double complex z" , 64respectively. 65.de Cl 66.Bl -column "csqrt" "complex absolute value (i.e. norm, modulus, magnitude)" 67.Em "Name Description" 68.. 69.\" Section 7.3.5 - 7.3.7 of ISO C99 standard unimplemented, see BUGS 70.\" Section 7.3.8 of ISO C99 standard 71.Ss Absolute-value Functions 72.Cl 73cabs complex absolute value (i.e. norm, modulus, magnitude) 74csqrt complex square root 75.El 76.Ss Exponential Function 77.Cl 78cexp exponential base e 79.El 80.\" Section 7.3.9 of ISO C99 standard 81.Ss Manipulation Functions 82.Cl 83carg compute the argument (i.e. phase angle) 84cimag compute the imaginary part 85conj compute the complex conjugate 86cproj compute projection onto Riemann sphere 87creal compute the real part 88.El 89.\" Section 7.3.5-6 of ISO C99 standard 90.Ss Trigonometric and Hyperbolic Functions 91.Cl 92cacos arc cosine 93cacosh arc hyperbolic cosine 94casin arc sine 95casinh arc hyperbolic sine 96catan arc tangent 97catanh arc hyperbolic tangent 98ccos cosine 99ccosh hyperbolic cosine 100csin sine 101csinh hyperbolic sine 102ctan tangent 103ctanh hyperbolic tangent 104.El 105.Sh SEE ALSO 106.Xr math 3 , 107.Xr fenv 3 , 108.Xr ieee 3 , 109.Xr tgmath 3 110.Rs 111.%T "ISO/IEC 9899:TC3" 112.%U http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1256.pdf 113.Re 114.Sh STANDARDS 115The 116.In complex.h 117functions described here conform to 118.St -isoC-99 . 119.Sh BUGS 120The logarithmic functions 121.Fn clog 122and the power functions 123.Fn cpow 124are not implemented. 125