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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 .