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+.\" Copyright (c) 1985 Regents of the University of California.
+.\" 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.
+.\" 3. All advertising materials mentioning features or use of this software
+.\" must display the following acknowledgement:
+.\" This product includes software developed by the University of
+.\" California, Berkeley and its contributors.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\" may be used to endorse or promote products derived from this software
+.\" without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``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 REGENTS OR CONTRIBUTORS 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.
+.\"
+.\" from: @(#)math.3 6.10 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/math.3,v 1.27 2005/11/17 13:00:00 ru Exp $
+.\"
+.Dd November 6, 2005
+.Dt MATH 3
+.Os
+.if n \{\
+.char \[sr] "sqrt
+.\}
+.Sh NAME
+.Nm math
+.Nd "floating-point mathematical library"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Sh DESCRIPTION
+These functions constitute the C math library.
+.Sh "LIST OF FUNCTIONS"
+Each of the following
+.Vt double
+functions has a
+.Vt float
+counterpart with an
+.Ql f
+appended to the name and a
+.Vt "long double"
+counterpart with an
+.Ql l
+appended.
+As an example, the
+.Vt float
+and
+.Vt "long double"
+counterparts of
+.Ft double
+.Fn acos "double x"
+are
+.Ft float
+.Fn acosf "float x"
+and
+.Ft "long double"
+.Fn acosl "long double x" ,
+respectively.
+.de Cl
+.Bl -column "isgreaterequal" "bessel function of the second kind of the order 0"
+.Em "Name Description"
+..
+.Ss Algebraic Functions
+.Cl
+cbrt cube root
+fma fused multiply-add
+hypot Euclidean distance
+sqrt square root
+.El
+.Ss Classification Functions
+.Cl
+fpclassify classify a floating-point value
+isfinite determine whether a value is finite
+isinf determine whether a value is infinite
+isnan determine whether a value is \*(Na
+isnormal determine whether a value is normalized
+.El
+.Ss Exponent Manipulation Functions
+.Cl
+frexp extract exponent and mantissa
+ilogb extract exponent
+ldexp multiply by power of 2
+logb extract exponent
+scalbln adjust exponent
+scalbn adjust exponent
+.El
+.Ss Extremum- and Sign-Related Functions
+.Cl
+copysign copy sign bit
+fabs absolute value
+fdim positive difference
+fmax maximum function
+fmin minimum function
+signbit extract sign bit
+.El
+.\" .Ss Not a Number
+.\" .Cl
+.\" nan return quiet \*(Na) 0
+.\" .El
+.Ss Residue and Rounding Functions
+.Cl
+ceil integer no less than
+floor integer no greater than
+fmod positive remainder
+llrint round to integer in fixed-point format
+llround round to nearest integer in fixed-point format
+lrint round to integer in fixed-point format
+lround round to nearest integer in fixed-point format
+modf extract integer and fractional parts
+nearbyint round to integer (silent)
+nextafter next representable value
+nexttoward next representable value
+remainder remainder
+remquo remainder with partial quotient
+rint round to integer
+round round to nearest integer
+trunc integer no greater in magnitude than
+.El
+.Pp
+The
+.Fn ceil ,
+.Fn floor ,
+.Fn llround ,
+.Fn lround ,
+.Fn round ,
+and
+.Fn trunc
+functions round in predetermined directions, whereas
+.Fn llrint ,
+.Fn lrint ,
+and
+.Fn rint
+round according to the current (dynamic) rounding mode.
+For more information on controlling the dynamic rounding mode, see
+.Xr fenv 3
+and
+.Xr fesetround 3 .
+.Ss Silent Order Predicates
+.Cl
+isgreater greater than relation
+isgreaterequal greater than or equal to relation
+isless less than relation
+islessequal less than or equal to relation
+islessgreater less than or greater than relation
+isunordered unordered relation
+.El
+.Ss Transcendental Functions
+.Cl
+acos inverse cosine
+acosh inverse hyperbolic cosine
+asin inverse sine
+asinh inverse hyperbolic sine
+atan inverse tangent
+atanh inverse hyperbolic tangent
+atan2 atan(y/x); complex argument
+cos cosine
+cosh hyperbolic cosine
+erf error function
+erfc complementary error function
+exp exponential base e
+exp2 exponential base 2
+expm1 exp(x)\-1
+j0 Bessel function of the first kind of the order 0
+j1 Bessel function of the first kind of the order 1
+jn Bessel function of the first kind of the order n
+lgamma log gamma function
+log natural logarithm
+log10 logarithm to base 10
+log1p log(1+x)
+.\" log2 base 2 logarithm
+pow exponential x**y
+sin trigonometric function
+sinh hyperbolic function
+tan trigonometric function
+tanh hyperbolic function
+tgamma gamma function
+y0 Bessel function of the second kind of the order 0
+y1 Bessel function of the second kind of the order 1
+yn Bessel function of the second kind of the order n
+.El
+.Pp
+Unlike the algebraic functions listed earlier, the routines
+in this section may not produce a result that is correctly rounded,
+so reproducible results cannot be guaranteed across platforms.
+For most of these functions, however, incorrect rounding occurs
+rarely, and then only in very-close-to-halfway cases.
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr ieee 3
+.Sh HISTORY
+A math library with many of the present functions appeared in
+.At v7 .
+The library was substantially rewritten for
+.Bx 4.3
+to provide
+better accuracy and speed on machines supporting either VAX
+or IEEE 754 floating-point.
+Most of this library was replaced with FDLIBM, developed at Sun
+Microsystems, in
+.Fx 1.1.5 .
+Additional routines, including ones for
+.Vt float
+and
+.Vt long double
+values, were written for or imported into subsequent versions of FreeBSD.
+.Sh BUGS
+The
+.Fn log2
+and
+.Fn nan
+functions are missing, and many functions are not available in their
+.Vt "long double"
+variants.
+.Pp
+Many of the routines to compute transcendental functions produce
+inaccurate results in other than the default rounding mode.
+.Pp
+On some architectures, trigonometric argument reduction is not
+performed accurately, resulting in errors greater than 1
+.Em ulp
+for large arguments to
+.Fn cos ,
+.Fn sin ,
+and
+.Fn tan .