Additions from Thomas Graichen to mention each functions' floating point
counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
This commit is contained in:
Jordan K. Hubbard
parent
ee32cbed3b
commit
7a15a32a17
Notes:
svn2git
2020-12-20 02:59:44 +00:00
svn path=/head/; revision=6794
@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)acos.3 5.1 (Berkeley) 5/2/91
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.\" $Id: acos.3,v 1.4 1993/10/29 22:57:17 jtc Exp $
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.\" $Id: acos.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 2, 1991
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.Dt ACOS 3
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.Os
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.Sh NAME
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.Nm acos
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.Nd arc cosine function
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.Nm acos ,
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.Nm acosf
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.Nd arc cosine functions
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn acos "double x"
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.Ft float
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.Fn acosf "float x"
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.Sh DESCRIPTION
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The
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.Fn acos
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function computes the principal value of the arc cosine of
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and the
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.Fn acosf
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functions compute the principal value of the arc cosine of
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.Fa x .
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A domain error occurs for arguments not in the range [-1, +1].
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For a discussion of error due to roundoff, see
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@ -53,7 +58,9 @@ For a discussion of error due to roundoff, see
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.Sh RETURN VALUES
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The
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.Fn acos
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function returns the arc cosine in the range
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and the
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.Fn acosf
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functions return the arc cosine in the range
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.Bq 0 , \*(Pi
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radians.
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On the
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)acosh.3 5.2 (Berkeley) 5/6/91
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.\" $Id: acosh.3,v 1.4 1993/10/29 22:57:20 jtc Exp $
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.\" $Id: acosh.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 6, 1991
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.Dt ACOSH 3
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.Os BSD 4.3
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.Sh NAME
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.Nm acosh
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.Nd inverse hyperbolic cosine function
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.Nm acosh ,
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.Nm acoshf
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.Nd inverse hyperbolic cosine functions
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn acosh "double x"
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.Ft float
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.Fn acoshf "float x"
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.Sh DESCRIPTION
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The
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.Fn acosh
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function computes the inverse hyperbolic cosine
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and the
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.Fn acoshf
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functions compute the inverse hyperbolic cosine
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of the real
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argument
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.Ar x .
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@ -54,8 +59,10 @@ For a discussion of error due to roundoff, see
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.Sh RETURN VALUES
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The
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.Fn acosh
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function
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returns the inverse hyperbolic cosine of
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and the
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.Fn acoshf
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functions
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return the inverse hyperbolic cosine of
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.Ar x .
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On the
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.Tn VAX
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)asin.3 5.1 (Berkeley) 5/2/91
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.\" $Id: asin.3,v 1.4 1993/10/29 22:57:22 jtc Exp $
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.\" $Id: asin.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 2, 1991
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.Dt ASIN 3
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.Os
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.Sh NAME
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.Nm asin
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.Nd arc sine function
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.Nm asin ,
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.Nm asinf
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.Nd arc sine functions
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn asin "double x"
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.Ft float
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.Fn asinf "float x"
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.Sh DESCRIPTION
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The
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.Fn asin
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function computes the principal value of the arc sine of
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and the
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.Fn asinf
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functions compute the principal value of the arc sine of
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.Fa x .
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A domain error occurs for arguments not in the range [-1, +1].
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For a discussion of error due to roundoff, see
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@ -53,7 +58,9 @@ For a discussion of error due to roundoff, see
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.Sh RETURN VALUES
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The
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.Fn asin
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function returns the arc sine in the range
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and the
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.Fn asinf
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functions return the arc sine in the range
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.Bk -words
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.Bq -\*(Pi/2, +\*(Pi/2
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.Ek
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)asinh.3 6.4 (Berkeley) 5/6/91
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.\" $Id: asinh.3,v 1.4 1993/10/29 22:57:23 jtc Exp $
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.\" $Id: asinh.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 6, 1991
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.Dt ASINH 3
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.Os BSD 4.3
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.Sh NAME
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.Nm asinh
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.Nd inverse hyperbolic sine function
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.Nm asinh ,
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.Nm asinhf
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.Nd inverse hyperbolic sine functions
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn asinh "double x"
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.Ft float
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.Fn asinhf "float x"
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.Sh DESCRIPTION
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The
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.Fn asinh
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function computes the inverse hyperbolic sine
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and the
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.Fn asinhf
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functions compute the inverse hyperbolic sine
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of the real
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argument
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.Ar x .
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@ -54,8 +59,10 @@ For a discussion of error due to roundoff, see
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.Sh RETURN VALUES
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The
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.Fn asinh
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function
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returns the inverse hyperbolic sine of
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and the
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.Fn asinhf
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functions
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return the inverse hyperbolic sine of
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.Ar x .
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.Sh SEE ALSO
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.Xr acosh 3 ,
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@ -30,28 +30,35 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)atan.3 5.1 (Berkeley) 5/2/91
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.\" $Id: atan.3,v 1.4 1993/10/04 18:07:15 jtc Exp $
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.\" $Id: atan.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 2, 1991
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.Dt ATAN 3
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.Os
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.Sh NAME
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.Nm atan
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.Nd arc tangent function of one variable
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.Nm atan ,
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.Nm atanf
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.Nd arc tangent functions of one variable
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn atan "double x"
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.Ft float
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.Fn atanf "float x"
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.Sh DESCRIPTION
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The
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.Fn atan
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function computes the principal value of the arc tangent of
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and the
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.Fn atanf
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functions compute the principal value of the arc tangent of
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.Fa x .
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For a discussion of error due to roundoff, see
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.Xr math 3 .
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.Sh RETURN VALUES
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The
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.Fn atan
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and the
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.Fn atanf
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function returns the arc tangent in the range
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.Bk -words
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.Bq -\*(Pi/2 , +\*(Pi/2
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@ -30,40 +30,47 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)atan2.3 5.1 (Berkeley) 5/2/91
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.\" $Id: atan2.3,v 1.3 1993/08/14 13:42:32 mycroft Exp $
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.\" $Id: atan2.3,v 1.1.1.1 1994/08/19 09:39:41 jkh Exp $
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.\"
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.Dd May 2, 1991
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.Dt ATAN2 3
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.Os
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.Sh NAME
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.Nm atan2
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.Nd arc tangent function of two variables
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.Nm atan2 ,
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.Nm atan2f
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.Nd arc tangent functions of two variables
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn atan2 "double y" "double x"
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.Ft float
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.Fn atan2f "float y" "float x"
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.Sh DESCRIPTION
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The
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.Xr atan2
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function computes the principal value of the arc tangent of
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.Ar y/ Ns Ar x ,
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.Fn atan2
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and the
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.Fn atan2f
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functions compute the principal value of the arc tangent of
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.Fa y/ Ns Ar x ,
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using the signs of both arguments to determine the quadrant of
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the return value.
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.Sh RETURN VALUES
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The
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.Xr atan2
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function, if successful,
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returns the arc tangent of
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.Ar y/ Ns Ar x
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.Fn atan2
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and the
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.Fn atan2f
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functions, if successful,
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return the arc tangent of
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.Fa y/ Ns Ar x
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in the range
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.Bk -words
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.Bq \&- Ns \*(Pi , \&+ Ns \*(Pi
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.Ek
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radians.
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If both
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.Ar x
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.Fa x
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and
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.Ar y
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.Fa y
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are zero, the global variable
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.Va errno
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is set to
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)atanh.3 5.2 (Berkeley) 5/6/91
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.\" $Id: atanh.3,v 1.4 1993/10/29 22:57:24 jtc Exp $
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.\" $Id: atanh.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
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.\"
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.Dd May 6, 1991
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.Dt ATANH 3
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.Os BSD 4.3
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.Sh NAME
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.Nm atanh
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.Nd inverse hyperbolic tangent function
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.Nm atanh ,
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.Nm atanhf
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.Nd inverse hyperbolic tangent functions
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn atanh "double x"
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.Ft float
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.Fn atanhf "float x"
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.Sh DESCRIPTION
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The
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.Fn atanh
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function computes the inverse hyperbolic tangent
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and the
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.Fn atanhf
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functions compute the inverse hyperbolic tangent
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of the real
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argument
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.Ar x .
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@ -54,8 +59,10 @@ For a discussion of error due to roundoff, see
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.Sh RETURN VALUES
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The
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.Fn atanh
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function
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returns the inverse hyperbolic tangent of
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and the
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.Fn atanhf
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functions
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return the inverse hyperbolic tangent of
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.Ar x
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if successful.
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On the
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)ceil.3 5.1 (Berkeley) 5/2/91
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.\" $Id: ceil.3,v 1.6 1994/03/11 01:32:08 jtc Exp $
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.\" $Id: ceil.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
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.\"
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.Dd March 10, 1994
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.Dt CEIL 3
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.Os
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.Sh NAME
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.Nm ceil
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.Nm ceil ,
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.Nm ceilf
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.Nd round to smallest integral value not greater than x
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.Sh SYNOPSIS
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.Fd #include <math.h>
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.Ft double
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.Fn ceil "double x"
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.Ft float
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.Fn ceil "float x"
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.Sh DESCRIPTION
|
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The
|
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.Fn ceil
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function returns the smallest integral value
|
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and the
|
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.Fn ceilf
|
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functions return the smallest integral value
|
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(represented as a double precision number)
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greater than or equal to
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.Fa x .
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@ -30,22 +30,27 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)cos.3 5.1 (Berkeley) 5/2/91
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.\" $Id: cos.3,v 1.5 1993/10/29 22:57:25 jtc Exp $
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.\" $Id: cos.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
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.\"
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.Dd May 2, 1991
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.Dt COS 3
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.Os
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.Sh NAME
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.Nm cos
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.Nd cosine function
|
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.Nm cos ,
|
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.Nm cosf
|
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.Nd cosine functions
|
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.Sh SYNOPSIS
|
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.Fd #include <math.h>
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.Ft double
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.Fn cos "double x"
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.Ft float
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.Fn cos "float x"
|
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.Sh DESCRIPTION
|
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The
|
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.Fn cos
|
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function computes the cosine of
|
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and the
|
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.Fn cosf
|
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functions compute the cosine of
|
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.Fa x
|
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(measured in radians).
|
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A large magnitude argument may yield a result with little or no
|
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@ -55,7 +60,9 @@ For a discussion of error due to roundoff, see
|
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.Sh RETURN VALUES
|
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The
|
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.Fn cos
|
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function returns the cosine value.
|
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and the
|
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.Fn cosf
|
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functions return the cosine value.
|
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.Sh SEE ALSO
|
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.Xr sin 3 ,
|
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.Xr tan 3 ,
|
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|
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@ -30,27 +30,34 @@
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)cosh.3 5.1 (Berkeley) 5/2/91
|
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.\" $Id: cosh.3,v 1.4 1993/10/29 22:57:26 jtc Exp $
|
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.\" $Id: cosh.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
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.\"
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.Dd May 2, 1991
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.Dt COSH 3
|
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.Os
|
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.Sh NAME
|
||||
.Nm cosh
|
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.Nd hyperbolic cosine function
|
||||
.Nm cosh ,
|
||||
.Nm coshf
|
||||
.Nd hyperbolic cosine functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn cosh "double x"
|
||||
.Ft float
|
||||
.Fn cosh "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn cosh
|
||||
function computes the hyperbolic cosine of
|
||||
and the
|
||||
.Fn coshf
|
||||
functions compute the hyperbolic cosine of
|
||||
.Fa x .
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn cosh
|
||||
function returns the hyperbolic cosine unless the magnitude
|
||||
and the
|
||||
.Fn coshf
|
||||
functions return the hyperbolic cosine unless the magnitude
|
||||
of
|
||||
.Fa x
|
||||
is too large; in this event, the global variable
|
||||
|
||||
@ -30,28 +30,36 @@
|
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.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)erf.3 6.4 (Berkeley) 4/20/91
|
||||
.\" $Id: erf.3,v 1.3 1993/08/14 13:42:38 mycroft Exp $
|
||||
.\" $Id: erf.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd April 20, 1991
|
||||
.Dt ERF 3
|
||||
.Os BSD 4.3
|
||||
.Sh NAME
|
||||
.Nm erf ,
|
||||
.Nm erfc
|
||||
.Nm erff ,
|
||||
.Nm erfc ,
|
||||
.Nm erfcf
|
||||
.Nd error function operators
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn erf "double x"
|
||||
.Ft float
|
||||
.Fn erff "float x"
|
||||
.Ft double
|
||||
.Fn erfc "double x"
|
||||
.Ft float
|
||||
.Fn erfcf "float x"
|
||||
.Sh DESCRIPTION
|
||||
These functions calculate the error function of
|
||||
.Fa x .
|
||||
.Pp
|
||||
The
|
||||
.Fn erf
|
||||
calculates the error function of x; where
|
||||
and the
|
||||
.Fn erff
|
||||
functions calculate the error function of x; where
|
||||
.Bd -filled -offset indent
|
||||
.if n \{\
|
||||
erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt. \}
|
||||
@ -62,7 +70,9 @@ erf\|(x) :=
|
||||
.Pp
|
||||
The
|
||||
.Fn erfc
|
||||
function calculates the complementary error function of
|
||||
and the
|
||||
.Fn erfcf
|
||||
functions calculate the complementary error function of
|
||||
.Fa x ;
|
||||
that is
|
||||
.Fn erfc
|
||||
|
||||
@ -30,73 +30,110 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91
|
||||
.\" $Id: exp.3,v 1.7 1994/02/11 18:34:05 jtc Exp $
|
||||
.\" $Id: exp.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd July 31, 1991
|
||||
.Dt EXP 3
|
||||
.Os BSD 4
|
||||
.Sh NAME
|
||||
.Nm exp ,
|
||||
.Nm expf ,
|
||||
.Nm exp2 ,
|
||||
.Nm exp2f ,
|
||||
.Nm exp10 ,
|
||||
.Nm exp10f ,
|
||||
.Nm expm1 ,
|
||||
.Nm expm1f ,
|
||||
.Nm log ,
|
||||
.Nm logf ,
|
||||
.Nm log2 ,
|
||||
.Nm log2f ,
|
||||
.Nm log10 ,
|
||||
.Nm log10f ,
|
||||
.Nm log1p ,
|
||||
.Nm pow
|
||||
.Nm log1pf ,
|
||||
.Nm pow ,
|
||||
.Nm powf
|
||||
.Nd exponential, logarithm, power functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn exp "double x"
|
||||
.Ft float
|
||||
.Fn expf "float x"
|
||||
.Ft double
|
||||
.Fn expm1 "double x"
|
||||
.Ft float
|
||||
.Fn expm1f "float x"
|
||||
.Ft double
|
||||
.Fn log "double x"
|
||||
.Ft float
|
||||
.Fn logf "float x"
|
||||
.Ft double
|
||||
.Fn log10 "double x"
|
||||
.Ft float
|
||||
.Fn log10f "float x"
|
||||
.Ft double
|
||||
.Fn log1p "double x"
|
||||
.Ft float
|
||||
.Fn log1pf "float x"
|
||||
.Ft double
|
||||
.Fn pow "double x" "double y"
|
||||
.Ft float
|
||||
.Fn powf "float x" "float y"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn exp
|
||||
function computes the exponential value of the given argument
|
||||
and the
|
||||
.Fn expf
|
||||
functions compute the exponential value of the given argument
|
||||
.Fa x .
|
||||
.Pp
|
||||
The
|
||||
.Fn expm1
|
||||
function computes the value exp(x)\-1 accurately even for tiny argument
|
||||
and the
|
||||
.Fn expm1f
|
||||
functions compute the value exp(x)\-1 accurately even for tiny argument
|
||||
.Fa x .
|
||||
.Pp
|
||||
The
|
||||
.Fn log
|
||||
function computes the value of the natural logarithm of argument
|
||||
and the
|
||||
.Fn logf
|
||||
functions compute the value of the natural logarithm of argument
|
||||
.Fa x.
|
||||
.Pp
|
||||
The
|
||||
.Fn log10
|
||||
function computes the value of the logarithm of argument
|
||||
and the
|
||||
.Fn log10f
|
||||
functions compute the value of the logarithm of argument
|
||||
.Fa x
|
||||
to base 10.
|
||||
.Pp
|
||||
The
|
||||
.Fn log1p
|
||||
function computes
|
||||
and the
|
||||
.Fn log1pf
|
||||
functions compute
|
||||
the value of log(1+x) accurately even for tiny argument
|
||||
.Fa x .
|
||||
.Pp
|
||||
The
|
||||
.Fn pow
|
||||
computes the value
|
||||
and the
|
||||
.Fn powf
|
||||
functions compute the value
|
||||
of
|
||||
.Ar x
|
||||
to the exponent
|
||||
.Ar y .
|
||||
.Sh ERROR (due to Roundoff etc.)
|
||||
exp(x), log(x), expm1(x) and log1p(x) are accurate to within
|
||||
.Fn exp(x) ,
|
||||
.Fn log(x) ,
|
||||
.Fn expm1(x) and
|
||||
.Fn log1p(x)
|
||||
are accurate to within
|
||||
an
|
||||
.Em ulp ,
|
||||
and log10(x) to within about 2
|
||||
@ -145,8 +182,7 @@ These functions will return the appropriate computation unless an error
|
||||
occurs or an argument is out of range.
|
||||
The functions
|
||||
.Fn exp ,
|
||||
.Fn expm1
|
||||
and
|
||||
.Fn expm1 ,
|
||||
.Fn pow
|
||||
detect if the computed value will overflow,
|
||||
set the global variable
|
||||
@ -156,7 +192,7 @@ and cause a reserved operand fault on a
|
||||
.Tn VAX
|
||||
or
|
||||
.Tn Tahoe .
|
||||
The function
|
||||
The functions
|
||||
.Fn pow x y
|
||||
checks to see if
|
||||
.Fa x
|
||||
|
||||
@ -31,27 +31,34 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)fabs.3 5.1 (Berkeley) 5/2/91
|
||||
.\" $Id: fabs.3,v 1.4 1993/10/04 18:04:34 jtc Exp $
|
||||
.\" $Id: fabs.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd May 2, 1991
|
||||
.Dt FABS 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm fabs
|
||||
.Nd floating-point absolute value function
|
||||
.Nm fabs ,
|
||||
.Nm fabsf
|
||||
.Nd floating-point absolute value functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn fabs "double x"
|
||||
.Ft float
|
||||
.Fn fabsf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn fabs
|
||||
function computes the absolute value of a floating-point number
|
||||
and the
|
||||
.Fn fabsf
|
||||
functions compute the absolute value of a floating-point number
|
||||
.Fa x .
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn fabs
|
||||
function returns the absolute value of
|
||||
and the
|
||||
.Fn fabsf
|
||||
functions return the absolute value of
|
||||
.Fa x .
|
||||
.Sh SEE ALSO
|
||||
.Xr abs 3 ,
|
||||
|
||||
@ -30,21 +30,26 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)floor.3 6.5 (Berkeley) 4/19/91
|
||||
.\" $Id: floor.3,v 1.5 1994/03/11 01:32:10 jtc Exp $
|
||||
.\" $Id: floor.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd March 10, 1994
|
||||
.Dt FLOOR 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm floor
|
||||
.Nm floor ,
|
||||
.Nm floorf
|
||||
.Nd round to largest integral value not greater than x
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn floor "double x"
|
||||
.Ft float
|
||||
.Fn floorf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn floor
|
||||
and the
|
||||
.Fn floorf
|
||||
function returns the largest integral value
|
||||
(represented as a double precision number)
|
||||
less than or equal to
|
||||
|
||||
@ -30,27 +30,34 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)fmod.3 5.1 (Berkeley) 5/2/91
|
||||
.\" $Id: fmod.3,v 1.3 1993/08/14 13:42:46 mycroft Exp $
|
||||
.\" $Id: fmod.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd May 2, 1991
|
||||
.Dt FMOD 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm fmod
|
||||
.Nd floating-point remainder function
|
||||
.Nm fmod ,
|
||||
.Nm fmodf
|
||||
.Nd floating-point remainder functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn fmod "double x" "double y"
|
||||
.Ft float
|
||||
.Fn fmodf "float x" "float y"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn fmod
|
||||
function computes the floating-point remainder of
|
||||
and the
|
||||
.Fn fmodf
|
||||
functions compute the floating-point remainder of
|
||||
.Fa x Ns / Fa y .
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn fmod
|
||||
function returns the value
|
||||
and the
|
||||
.Fn fmodf
|
||||
functions return the value
|
||||
.Sm off
|
||||
.Fa x - Em i * Fa y ,
|
||||
.Sm on
|
||||
@ -66,6 +73,8 @@ If
|
||||
.Fa y
|
||||
is zero, whether a domain error occurs or the
|
||||
.Fn fmod
|
||||
and the
|
||||
.Fn fmodf
|
||||
function returns zero is implementation-defined.
|
||||
.Sh SEE ALSO
|
||||
.Xr math 3
|
||||
|
||||
@ -30,29 +30,38 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)hypot.3 6.7 (Berkeley) 5/6/91
|
||||
.\" $Id: hypot.3,v 1.3 1993/08/14 13:42:48 mycroft Exp $
|
||||
.\" $Id: hypot.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd May 6, 1991
|
||||
.Dt HYPOT 3
|
||||
.Os BSD 4
|
||||
.Sh NAME
|
||||
.Nm hypot ,
|
||||
.Nm cabs
|
||||
.Nm hypotf ,
|
||||
.Nm cabs ,
|
||||
.Nm cabsf
|
||||
.Nd euclidean distance and complex absolute value functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn hypot "double x" "double y"
|
||||
.Ft float
|
||||
.Fn hypotf "float x" "float y"
|
||||
.Fd struct {double x, y;} z;
|
||||
.Ft double
|
||||
.Fn cabs z
|
||||
.Fd struct {float x, y;} z;
|
||||
.Ft float
|
||||
.Fn cabsf z
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn hypot
|
||||
and
|
||||
.Fn hypot ,
|
||||
.Fn hypotf ,
|
||||
.Fn cabs
|
||||
and
|
||||
.Fn cabsf
|
||||
functions
|
||||
computes the
|
||||
compute the
|
||||
sqrt(x*x+y*y)
|
||||
in such a way that underflow will not happen, and overflow
|
||||
occurs only if the final result deserves it.
|
||||
|
||||
@ -30,45 +30,67 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)ieee.3 6.4 (Berkeley) 5/6/91
|
||||
.\" $Id: ieee.3,v 1.7 1994/03/10 18:15:07 jtc Exp $
|
||||
.\" $Id: ieee.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd Feb 25, 1994
|
||||
.Dt IEEE 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm copysign ,
|
||||
.Nm copysignf ,
|
||||
.Nm finite ,
|
||||
.Nm finitef ,
|
||||
.Nm ilogb ,
|
||||
.Nm ilogbf ,
|
||||
.Nm nextafter ,
|
||||
.Nm nextafterf ,
|
||||
.Nm remainder ,
|
||||
.Nm scalbn
|
||||
.Nm remainderf ,
|
||||
.Nm scalbn ,
|
||||
.Nm scalbnf
|
||||
.Nd Functions for IEEE arithmetic
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn copysign "double x" "double y"
|
||||
.Ft float
|
||||
.Fn copysignf "float x" "float y"
|
||||
.Ft int
|
||||
.Fn finite "double x"
|
||||
.Ft int
|
||||
.Fn finitef "float x"
|
||||
.Ft int
|
||||
.Fn ilogb "double x"
|
||||
.Ft int
|
||||
.Fn ilogbf "float x"
|
||||
.Ft double
|
||||
.Fn nextafter "double x" "double y"
|
||||
.Ft float
|
||||
.Fn nextafterf "float x" "float y"
|
||||
.Ft double
|
||||
.Fn remainder "double x" "double y"
|
||||
.Ft float
|
||||
.Fn remainderf "float x" "float y"
|
||||
.Ft double
|
||||
.Fn scalbn "double x" "int n"
|
||||
.Ft float
|
||||
.Fn scalbnf "float x" "int n"
|
||||
.Sh DESCRIPTION
|
||||
These functions are required or recommended by
|
||||
.St -ieee754 .
|
||||
.Pp
|
||||
.Fn copysign
|
||||
returns
|
||||
and
|
||||
.Fn copysignf
|
||||
return
|
||||
.Fa x
|
||||
with its sign changed to
|
||||
.Fa y Ns 's.
|
||||
.Pp
|
||||
.Fn finite
|
||||
returns the value 1 just when
|
||||
and
|
||||
.Fn finitef
|
||||
return the value 1 just when
|
||||
\-\*(If \*(Lt
|
||||
.Fa x
|
||||
\*(Lt +\*(If;
|
||||
@ -81,7 +103,9 @@ zero is returned
|
||||
is \*(Na
|
||||
.Pp
|
||||
.Fn ilogb
|
||||
returns
|
||||
and
|
||||
.Fn ilogbf
|
||||
return
|
||||
.Fa x Ns 's exponent
|
||||
.Fa n ,
|
||||
in integer format.
|
||||
@ -94,13 +118,17 @@ returns
|
||||
.Dv INT_MIN .
|
||||
.Pp
|
||||
.Fn nextafter
|
||||
returns the next machine representable number from
|
||||
and
|
||||
.Fn nextafterf
|
||||
return the next machine representable number from
|
||||
.Fa x
|
||||
in direction
|
||||
.Fa y .
|
||||
.Pp
|
||||
.Fn remainder
|
||||
returns the remainder
|
||||
and
|
||||
.Fn remainderf
|
||||
return the remainder
|
||||
.Fa r
|
||||
:=
|
||||
.Fa x
|
||||
@ -138,7 +166,9 @@ and
|
||||
are invalid operations that produce a \*(Na.
|
||||
.Pp
|
||||
.Fn scalbn
|
||||
returns
|
||||
and
|
||||
.Fn scalbnf
|
||||
return
|
||||
.Fa x Ns \(**(2** Ns Fa n )
|
||||
computed by exponent manipulation.
|
||||
.Sh SEE ALSO
|
||||
|
||||
@ -30,31 +30,42 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)ieee.3 6.4 (Berkeley) 5/6/91
|
||||
.\" $Id: ieee_test.3,v 1.1 1994/03/11 17:19:01 jtc Exp $
|
||||
.\" $Id: ieee_test.3,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $
|
||||
.\"
|
||||
.Dd March 10, 1994
|
||||
.Dt IEEE_TEST 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm logb ,
|
||||
.Nm logbf ,
|
||||
.Nm scalb ,
|
||||
.Nm significand
|
||||
.Nm scalbf ,
|
||||
.Nm significand ,
|
||||
.Nm significandf
|
||||
.Nd IEEE test functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn logb "double x"
|
||||
.Ft float
|
||||
.Fn logbf "float x"
|
||||
.Ft double
|
||||
.Fn scalb "double x" "double n"
|
||||
.Ft float
|
||||
.Fn scalbf "float x" "float n"
|
||||
.Ft double
|
||||
.Fn significand "double x"
|
||||
.Ft float
|
||||
.Fn significandf "float x"
|
||||
.Sh DESCRIPTION
|
||||
These functions allow users to test conformance to
|
||||
.St -ieee754 .
|
||||
Their use is not otherwise recommended.
|
||||
.Pp
|
||||
.Fn logb x
|
||||
returns
|
||||
and
|
||||
.Fn logbf x
|
||||
return
|
||||
.Fa x Ns 's exponent
|
||||
.Fa n ,
|
||||
a signed integer converted to double\-precision floating\-point.
|
||||
@ -64,12 +75,16 @@ a signed integer converted to double\-precision floating\-point.
|
||||
= -\*(If with a division by zero exception.
|
||||
.Pp
|
||||
.Fn scalbn x n
|
||||
returns
|
||||
and
|
||||
.Fn scalbnf x n
|
||||
return
|
||||
.Fa x Ns \(**(2** Ns Fa n )
|
||||
computed by exponent manipulation.
|
||||
.Pp
|
||||
.Fn significand x
|
||||
returns
|
||||
and
|
||||
.Fn significandf x
|
||||
return
|
||||
.Fa sig ,
|
||||
where
|
||||
.Fa x
|
||||
@ -79,7 +94,9 @@ with 1 \(<=
|
||||
.Fa sig
|
||||
< 2.
|
||||
.Fn significand x
|
||||
is not defined when
|
||||
and
|
||||
.Fn significandf x
|
||||
are not defined when
|
||||
.Fa x
|
||||
is 0, \*(Pm\*(If, or \*(Na.
|
||||
.Sh SEE ALSO
|
||||
|
||||
@ -30,38 +30,58 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
|
||||
.\" $Id: j0.3,v 1.5 1994/01/11 00:46:54 jtc Exp $
|
||||
.\" $Id: j0.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd April 19, 1991
|
||||
.Dt J0 3
|
||||
.Os BSD 4
|
||||
.Sh NAME
|
||||
.Nm j0 ,
|
||||
.Nm j0f ,
|
||||
.Nm j1 ,
|
||||
.Nm j1f ,
|
||||
.Nm jn ,
|
||||
.Nm jnf ,
|
||||
.Nm y0 ,
|
||||
.Nm y0f ,
|
||||
.Nm y1 ,
|
||||
.Nm yn
|
||||
.Nm y1f ,
|
||||
.Nm yn ,
|
||||
.Nm ynf
|
||||
.Nd bessel functions of first and second kind
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn j0 "double x"
|
||||
.Ft float
|
||||
.Fn j0f "float x"
|
||||
.Ft double
|
||||
.Fn j1 "double x"
|
||||
.Ft float
|
||||
.Fn j1f "float x"
|
||||
.Ft double
|
||||
.Fn jn "int n" "double x"
|
||||
.Ft float
|
||||
.Fn jnf "int n" "float x"
|
||||
.Ft double
|
||||
.Fn y0 "double x"
|
||||
.Ft float
|
||||
.Fn y0f "float x"
|
||||
.Ft double
|
||||
.Fn y1 "double x"
|
||||
.Ft float
|
||||
.Fn y1f "float x"
|
||||
.Ft double
|
||||
.Fn yn "int n" "double x"
|
||||
.Ft float
|
||||
.Fn ynf "int n" "float x"
|
||||
.Sh DESCRIPTION
|
||||
The functions
|
||||
.Fn j0
|
||||
and
|
||||
.Fn j0 ,
|
||||
.Fn j0f ,
|
||||
.Fn j1
|
||||
and
|
||||
.Fn j1f
|
||||
compute the
|
||||
.Em Bessel function of the first kind of the order
|
||||
0 and the
|
||||
@ -70,18 +90,22 @@ compute the
|
||||
for the
|
||||
real value
|
||||
.Fa x ;
|
||||
the function
|
||||
the functions
|
||||
.Fn jn
|
||||
computes the
|
||||
and
|
||||
.Fn jnf
|
||||
compute the
|
||||
.Em Bessel function of the first kind of the integer order
|
||||
.Fa n
|
||||
for the real value
|
||||
.Fa x .
|
||||
.Pp
|
||||
The functions
|
||||
.Fn y0
|
||||
.Fn y0 ,
|
||||
.Fn y0f ,
|
||||
.Fn y1 ,
|
||||
and
|
||||
.Fn y1
|
||||
.Fn y1f
|
||||
compute the linearly independent
|
||||
.Em Bessel function of the second kind of the order
|
||||
0 and the
|
||||
@ -92,17 +116,19 @@ positive
|
||||
.Em integer
|
||||
value
|
||||
.Fa x
|
||||
(expressed as a double);
|
||||
the function
|
||||
(expressed as a double or float);
|
||||
the functions
|
||||
.Fn yn
|
||||
computes the
|
||||
and
|
||||
.Fn ynf
|
||||
compute the
|
||||
.Em Bessel function of the second kind for the integer order
|
||||
.Fa n
|
||||
for the positive
|
||||
.Em integer
|
||||
value
|
||||
.Fa x
|
||||
(expressed as a double).
|
||||
(expressed as a double or float).
|
||||
.Sh RETURN VALUES
|
||||
If these functions are successful,
|
||||
the computed value is returned. On the
|
||||
|
||||
@ -30,15 +30,17 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)lgamma.3 6.6 (Berkeley) 12/3/92
|
||||
.\" $Id: lgamma.3,v 1.6 1994/01/11 00:46:56 jtc Exp $
|
||||
.\" $Id: lgamma.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd December 3, 1992
|
||||
.Dt LGAMMA 3
|
||||
.Os BSD 4.3
|
||||
.Sh NAME
|
||||
.Nm lgamma ,
|
||||
.Nm gamma
|
||||
.Nd log gamma function, gamma function
|
||||
.Nm lgammaf ,
|
||||
.Nm gamma ,
|
||||
.Nm gammaf
|
||||
.Nd log gamma functions, gamma functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft extern int
|
||||
@ -46,12 +48,18 @@
|
||||
.sp
|
||||
.Ft double
|
||||
.Fn lgamma "double x"
|
||||
.Ft float
|
||||
.Fn lgammaf "float x"
|
||||
.Ft double
|
||||
.Fn gamma "double x"
|
||||
.Ft float
|
||||
.Fn gamma "float x"
|
||||
.Sh DESCRIPTION
|
||||
.Fn Lgamma x
|
||||
.Fn lgamma x
|
||||
and
|
||||
.Fn lgammaf x
|
||||
.if t \{\
|
||||
returns ln\||\(*G(x)| where
|
||||
return ln\||\(*G(x)| where
|
||||
.Bd -unfilled -offset indent
|
||||
\(*G(x) = \(is\d\s8\z0\s10\u\u\s8\(if\s10\d t\u\s8x\-1\s10\d e\u\s8\-t\s10\d dt for x > 0 and
|
||||
.br
|
||||
@ -65,8 +73,10 @@ The external integer
|
||||
.Fa signgam
|
||||
returns the sign of \(*G(x).
|
||||
.Pp
|
||||
.Fn Gamma x
|
||||
returns \(*G(x), with no effect on
|
||||
.Fn gamma x
|
||||
and
|
||||
.Fn gammaf x
|
||||
return \(*G(x), with no effect on
|
||||
.Fa signgam .
|
||||
.Sh IDIOSYNCRASIES
|
||||
Do not use the expression
|
||||
@ -79,19 +89,25 @@ lg = lgamma(x); g = signgam\(**exp(lg);
|
||||
.Pp
|
||||
Only after
|
||||
.Fn lgamma
|
||||
or
|
||||
.Fn lgammaf
|
||||
has returned can signgam be correct.
|
||||
.Pp
|
||||
For arguments in its range,
|
||||
.Fn gamma
|
||||
and
|
||||
.Fn gammaf
|
||||
is preferred, as for positive arguments
|
||||
it is accurate to within one unit in the last place.
|
||||
Exponentiation of
|
||||
.Fn lgamma
|
||||
will lose up to 10 significant bits.
|
||||
.Sh RETURN VALUES
|
||||
.Fn Gamma
|
||||
.Fn gamma ,
|
||||
.Fn gammaf ,
|
||||
.Fn lgamma ,
|
||||
and
|
||||
.Fn lgamma
|
||||
.Fn lgammaf
|
||||
return appropriate values unless an argument is out of range.
|
||||
Overflow will occur for sufficiently large positive values, and
|
||||
non-positive integers.
|
||||
|
||||
@ -30,7 +30,7 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)math.3 6.10 (Berkeley) 5/6/91
|
||||
.\" $Id: math.3,v 1.4 1994/02/25 19:43:56 jtc Exp $
|
||||
.\" $Id: math.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.TH MATH 3M "May 6, 1991"
|
||||
.UC 4
|
||||
@ -50,8 +50,11 @@ These functions constitute the C math library,
|
||||
The link editor searches this library under the \*(lq\-lm\*(rq option.
|
||||
Declarations for these functions may be obtained from the include file
|
||||
.RI < math.h >.
|
||||
The Fortran math library is described in ``man 3f intro''.
|
||||
.\" The Fortran math library is described in ``man 3f intro''.
|
||||
.SH "LIST OF FUNCTIONS"
|
||||
Each of the following double functions has a float counterpart with the
|
||||
name ending in f, as an example the float counterpart of double acos(double
|
||||
x) is float acosf(float x).
|
||||
.sp 2
|
||||
.nf
|
||||
.ta \w'copysign'u+2n +\w'infnan.3m'u+10n +\w'inverse trigonometric func'u
|
||||
@ -110,11 +113,11 @@ arithmetic conforming to the IEEE Standard 754 for Binary
|
||||
Floating\-Point Arithmetic. The two versions behave very
|
||||
similarly, as should be expected from programs more accurate
|
||||
and robust than was the norm when UNIX was born. For
|
||||
instance, the programs are accurate to within the numbers
|
||||
instance, the programs are accurat ere accurn the numbers
|
||||
of \*(ups tabulated above; an \*(up is one \fIU\fRnit in the \fIL\fRast
|
||||
\fIP\fRlace. And the programs have been cured of anomalies that
|
||||
afflicted the older math library \fIlibm\fR in which incidents like
|
||||
the following had been reported:
|
||||
\fIP\fRlace. And the progrod the prbeen cured of anomalies that
|
||||
afflicted the older mat` older math library \fIlibm\fR in which incidents like
|
||||
the followineported:
|
||||
.RS
|
||||
sqrt(\-1.0) = 0.0 and log(\-1.0) = \-1.7e38.
|
||||
.br
|
||||
|
||||
@ -30,23 +30,28 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)rint.3 5.1 (Berkeley) 5/2/91
|
||||
.\" $Id: rint.3,v 1.4 1994/03/11 01:32:11 jtc Exp $
|
||||
.\" $Id: rint.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd March 10, 1994
|
||||
.Dt RINT 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm rint
|
||||
.Nm rint ,
|
||||
.Nm rintf
|
||||
.Nd round to integral value in floating-point format
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn rint "double x"
|
||||
.Ft float
|
||||
.Fn rintf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn rint
|
||||
function returns the integral value (represented as a double precision number)
|
||||
nearest to
|
||||
and the
|
||||
.Fn rintf
|
||||
functions return the integral value (represented as a double or float
|
||||
precision number) nearest to
|
||||
.Fa x
|
||||
according to the prevailing rounding mode.
|
||||
.Sh SEE ALSO
|
||||
|
||||
@ -31,22 +31,27 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)sin.3 6.7 (Berkeley) 4/19/91
|
||||
.\" $Id: sin.3,v 1.4 1993/10/29 22:57:28 jtc Exp $
|
||||
.\" $Id: sin.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd April 19, 1991
|
||||
.Dt SIN 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm sin
|
||||
.Nd sine function
|
||||
.Nm sin ,
|
||||
.Nm sinf
|
||||
.Nd sine functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn sin "double x"
|
||||
.Ft float
|
||||
.Fn sinf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn sin
|
||||
function computes the sine of
|
||||
and the
|
||||
.Fn sinf
|
||||
functions compute the sine of
|
||||
.Fa x
|
||||
(measured in radians).
|
||||
A large magnitude argument may yield a result with little
|
||||
@ -54,7 +59,9 @@ or no significance.
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn sin
|
||||
function returns the sine value.
|
||||
and the
|
||||
.Fn sinf
|
||||
functions return the sine value.
|
||||
.Sh SEE ALSO
|
||||
.Xr acos 3 ,
|
||||
.Xr asin 3 ,
|
||||
|
||||
@ -30,26 +30,33 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)sinh.3 6.6 (Berkeley) 4/19/91
|
||||
.\" $Id: sinh.3,v 1.4 1993/10/29 22:57:30 jtc Exp $
|
||||
.\" $Id: sinh.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.Dd April 19, 1991
|
||||
.Dt SINH 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm sinh
|
||||
.Nm sinh ,
|
||||
.Nm sinhf
|
||||
.Nd hyperbolic sine function
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn sinh "double x"
|
||||
.Ft float
|
||||
.Fn sinhf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn sinh
|
||||
function computes the hyperbolic sine of
|
||||
and the
|
||||
.Fn sinhf
|
||||
functions compute the hyperbolic sine of
|
||||
.Fa x .
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn sinh
|
||||
function returns the hyperbolic sine value unless
|
||||
and the
|
||||
.Fn sinhf
|
||||
functions return the hyperbolic sine value unless
|
||||
the magnitude
|
||||
of
|
||||
.Fa x
|
||||
|
||||
@ -30,39 +30,53 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)sqrt.3 6.4 (Berkeley) 5/6/91
|
||||
.\" $Id: sqrt.3,v 1.3 1993/08/14 13:43:05 mycroft Exp $
|
||||
.\" $Id: sqrt.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
|
||||
.\"
|
||||
.Dd May 6, 1991
|
||||
.Dt SQRT 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm cbrt ,
|
||||
.Nm sqrt
|
||||
.Nm cbrtf ,
|
||||
.Nm sqrt ,
|
||||
.Nm sqrtf
|
||||
.Nd cube root and square root functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn cbrt "double x"
|
||||
.Ft float
|
||||
.Fn cbrtf "float x"
|
||||
.Ft double
|
||||
.Fn sqrt "double x"
|
||||
.Ft float
|
||||
.Fn sqrtf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn cbrt
|
||||
function computes
|
||||
and the
|
||||
.Fn cbrtf
|
||||
functions compute
|
||||
the cube root of
|
||||
.Ar x .
|
||||
.Pp
|
||||
The
|
||||
.Fn sqrt
|
||||
computes the
|
||||
and the
|
||||
.Fn sqrtf
|
||||
functions compute the
|
||||
non-negative square root of x.
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn cbrt
|
||||
function returns the requested cube root.
|
||||
and the
|
||||
.Fn cbrtf
|
||||
functions return the requested cube root.
|
||||
The
|
||||
.Fn sqrt
|
||||
function returns the requested square root
|
||||
and the
|
||||
.Fn sqrtf
|
||||
functions return the requested square root
|
||||
unless an error occurs.
|
||||
On the
|
||||
.Tn VAX
|
||||
|
||||
@ -30,22 +30,27 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)tan.3 5.1 (Berkeley) 5/2/91
|
||||
.\" $Id: tan.3,v 1.4 1993/10/05 16:33:47 jtc Exp $
|
||||
.\" $Id: tan.3,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $
|
||||
.\"
|
||||
.Dd May 2, 1991
|
||||
.Dt TAN 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm tan
|
||||
.Nd tangent function
|
||||
.Nm tan ,
|
||||
.Nm tanf
|
||||
.Nd tangent functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn tan "double x"
|
||||
.Ft float
|
||||
.Fn tanf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn tan
|
||||
function computes the tangent of
|
||||
and the
|
||||
.Fn tanf
|
||||
functions compute the tangent of
|
||||
.Fa x
|
||||
(measured in radians).
|
||||
A large magnitude argument may yield a result
|
||||
|
||||
@ -30,29 +30,36 @@
|
||||
.\" SUCH DAMAGE.
|
||||
.\"
|
||||
.\" from: @(#)tanh.3 5.1 (Berkeley) 5/2/91
|
||||
.\" $Id: tanh.3,v 1.4 1993/10/05 16:33:49 jtc Exp $
|
||||
.\" $Id: tanh.3,v 1.1.1.1 1994/08/19 09:39:43 jkh Exp $
|
||||
.\"
|
||||
.Dd May 2, 1991
|
||||
.Dt TANH 3
|
||||
.Os
|
||||
.Sh NAME
|
||||
.Nm tanh
|
||||
.Nd hyperbolic tangent function
|
||||
.Nm tanh ,
|
||||
.Nm tanhf
|
||||
.Nd hyperbolic tangent functions
|
||||
.Sh SYNOPSIS
|
||||
.Fd #include <math.h>
|
||||
.Ft double
|
||||
.Fn tanh "double x"
|
||||
.Ft float
|
||||
.Fn tanhf "float x"
|
||||
.Sh DESCRIPTION
|
||||
The
|
||||
.Fn tanh
|
||||
function computes the hyperbolic tangent of
|
||||
and the
|
||||
.Fn tanhf
|
||||
functions compute the hyperbolic tangent of
|
||||
.Fa x .
|
||||
For a discussion of error due to roundoff, see
|
||||
.Xr math 3 .
|
||||
.Sh RETURN VALUES
|
||||
The
|
||||
.Fn tanh
|
||||
function returns the hyperbolic tangent value.
|
||||
and the
|
||||
.Fn tanhf
|
||||
functions return the hyperbolic tangent value.
|
||||
.Sh SEE ALSO
|
||||
.Xr acos 3 ,
|
||||
.Xr asin 3 ,
|
||||
|
||||
Loading…
Reference in New Issue
Block a user