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1.\" Copyright (c) 1985, 1991 Regents of the University of California. 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.\" 3. All advertising materials mentioning features or use of this software 13.\" must display the following acknowledgement: 14.\" This product includes software developed by the University of 15.\" California, Berkeley and its contributors. 16.\" 4. Neither the name of the University nor the names of its contributors 17.\" may be used to endorse or promote products derived from this software 18.\" without specific prior written permission. 19.\" 20.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 21.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 22.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 23.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 24.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 30.\" SUCH DAMAGE. 31.\" 32.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91 33.\" $Id: exp.3,v 1.4 2004/12/20 21:35:45 scp Exp $ 34.\" 35.Dd December 11, 2006 36.Dt EXP 3 37.Os BSD 4 38.Sh NAME 39.Nm exp , 40.Nm exp2 , 41.Nm expm1 42.Nd exponential functions 43.Sh SYNOPSIS 44.Fd #include <math.h> 45.Ft double 46.Fn exp "double x" 47.Ft long double 48.Fn expl "long double x" 49.Ft float 50.Fn expf "float x" 51.Ft double 52.Fn exp2 "double x" 53.Ft long double 54.Fn exp2l "long double x" 55.Ft float 56.Fn exp2f "float x" 57.Ft double 58.Fn expm1 "double x" 59.Ft long double 60.Fn expm1l "long double x" 61.Ft float 62.Fn expm1f "float x" 63.Sh DESCRIPTION 64The 65.Fn exp 66function computes e**x, the base-e exponential of 67.Fa x . 68.Pp 69The 70.Fn exp2 71function computes 2**x, the base-2 exponential of 72.Fa x . 73.Pp 74The 75.Fn expm1 76function computes the base-e exponential of 77.Fa x 78, minus 1 accurately even for very small values of 79.Fa x . 80.Sh SPECIAL VALUES 81.Fn exp "�0" 82and 83.Fn exp2 "�0" 84return 1. 85.Pp 86.Fn exp "-infinity" 87and 88.Fn exp2 "-infinity" 89return +0. 90.Pp 91.Fn exp "+infinity" 92and 93.Fn exp2 "+infinity" 94return +infinity. 95.Pp 96.Fn expm1 "�0" 97returns �0. 98.Pp 99.Fn expm1 "-infinity" 100returns -1. 101.Pp 102.Fn expm1 "+infinity" 103returns +infinity. 104.Pp 105For all these functions, a range error occurs if the magnitude of x is too large. 106.Sh SEE ALSO 107.Xr math 3 108.Sh STANDARDS 109The 110.Fn exp 111, 112.Fn exp2 113, and 114.Fn expm1 115functions conform to ISO/IEC 9899:1999(E).