intrinsic.texi: Document BESJ0, BESJ1, BESJN, BESY0, BESY1, BESYN, ATAN, COSH, ERF, ERC, SINH, TANH.
* intrinsic.texi: Document BESJ0, BESJ1, BESJN, BESY0, BESY1, BESYN, ATAN, COSH, ERF, ERC, SINH, TANH. From-SVN: r97495
This commit is contained in:
Francois-Xavier Coudert
François-Xavier Coudert
parent
1ac3e311ac
commit
f7cdcbf1c5
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@ -1,3 +1,8 @@
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2005-04-03 Francois-Xavier Coudert <coudert@clipper.ens.fr>
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* intrinsic.texi: Document BESJ0, BESJ1, BESJN, BESY0, BESY1,
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BESYN, ATAN, COSH, ERF, ERC, SINH, TANH.
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2005-04-02 Steven G. Kargl <kargls@comcast.net>
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* intrinsic.texi: Document ALLOCATED, ANINT, ANY, ASIN; fix typos
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@ -46,6 +46,18 @@ and editing. All contributions and corrections are strongly encouraged.
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* @code{ANINT}: ANINT, Nearest whole number
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* @code{ANY}: ANY, Determine if any values are true
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* @code{ASIN}: ASIN, Arcsine function
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* @code{ATAN}: ATAN, Arctangent function
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* @code{BESJ0}: BESJ0, Bessel function of the first kind of order 0
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* @code{BESJ1}: BESJ1, Bessel function of the first kind of order 1
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* @code{BESJN}: BESJN, Bessel function of the first kind
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* @code{BESY0}: BESY0, Bessel function of the first kind of order 0
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* @code{BESY1}: BESY1, Bessel function of the first kind of order 1
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* @code{BESYN}: BESYN, Bessel function of the first kind
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* @code{COSH}: COSH, Hyperbolic cosine function
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* @code{ERF}: ERF, Error function
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* @code{ERFC}: ERFC, Complementary error function
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* @code{SINH}: SINH, Hyperbolic sine function
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* @code{TANH}: TANH, Hyperbolic tangent function
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@end menu
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@node Introduction
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@ -722,35 +734,551 @@ end program test_asin
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@end table
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@node ATAN
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@section @code{ATAN} --- Arctangent function
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@findex @code{ATAN} intrinsic
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@findex @code{DATAN} intrinsic
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@cindex arctangent
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@table @asis
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@item @emph{Description}:
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@code{ATAN(X)} computes the arctangent of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = ATAN(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it lies in the
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range @math{ - \pi / 2 \leq \arcsin (x) \leq \pi / 2}.
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@item @emph{Example}:
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@smallexample
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program test_atan
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real(8) :: x = 2.866_8
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x = atan(x)
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end program test_atan
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DATAN(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESJ0
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@section @code{BESJ0} --- Bessel function of the first kind of order 0
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@findex @code{BESJ0} intrinsic
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@findex @code{DBESJ0} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESJ0(X)} computes the Bessel function of the first kind of order 0
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of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = BESJ0(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it lies in the
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range @math{ - 0.4027... \leq Bessel (0,x) \leq 1}.
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@item @emph{Example}:
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@smallexample
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program test_besj0
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real(8) :: x = 0.0_8
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x = besj0(x)
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end program test_besj0
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESJ0(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESJ1
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@section @code{BESJ1} --- Bessel function of the first kind of order 1
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@findex @code{BESJ1} intrinsic
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@findex @code{DBESJ1} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESJ1(X)} computes the Bessel function of the first kind of order 1
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of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = BESJ1(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it lies in the
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range @math{ - 0.5818... \leq Bessel (0,x) \leq 0.5818 }.
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@item @emph{Example}:
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@smallexample
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program test_besj1
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real(8) :: x = 1.0_8
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x = besj1(x)
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end program test_besj1
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESJ1(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESJN
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@section @code{BESJN} --- Bessel function of the first kind
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@findex @code{BESJN} intrinsic
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@findex @code{DBESJN} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESJN(N, X)} computes the Bessel function of the first kind of order
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@var{N} of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{Y = BESJN(N, X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{N} @tab The type shall be an @code{INTEGER(*)}.
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)}.
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@item @emph{Example}:
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@smallexample
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program test_besjn
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real(8) :: x = 1.0_8
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x = besjn(5,x)
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end program test_besjn
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESJN(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESY0
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@section @code{BESY0} --- Bessel function of the second kind of order 0
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@findex @code{BESY0} intrinsic
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@findex @code{DBESY0} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESY0(X)} computes the Bessel function of the second kind of order 0
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of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = BESY0(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)}.
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@item @emph{Example}:
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@smallexample
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program test_besy0
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real(8) :: x = 0.0_8
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x = besy0(x)
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end program test_besy0
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESY0(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESY1
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@section @code{BESY1} --- Bessel function of the second kind of order 1
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@findex @code{BESY1} intrinsic
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@findex @code{DBESY1} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESY1(X)} computes the Bessel function of the second kind of order 1
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of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = BESY1(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)}.
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@item @emph{Example}:
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@smallexample
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program test_besy1
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real(8) :: x = 1.0_8
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x = besy1(x)
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end program test_besy1
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESY1(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node BESYN
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@section @code{BESYN} --- Bessel function of the second kind
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@findex @code{BESYN} intrinsic
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@findex @code{DBESYN} intrinsic
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@cindex Bessel
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@table @asis
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@item @emph{Description}:
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@code{BESYN(N, X)} computes the Bessel function of the second kind of order
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@var{N} of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{Y = BESYN(N, X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{N} @tab The type shall be an @code{INTEGER(*)}.
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)}.
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@item @emph{Example}:
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@smallexample
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program test_besyn
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real(8) :: x = 1.0_8
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x = besyn(5,x)
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end program test_besyn
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DBESYN(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node COSH
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@section @code{COSH} --- Hyperbolic cosine function
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@findex @code{COSH} intrinsic
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@findex @code{DCOSH} intrinsic
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@cindex hyperbolic cosine
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@table @asis
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@item @emph{Description}:
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@code{COSH(X)} computes the hyperbolic cosine of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = COSH(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it is positive
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(@math{ \cosh (x) \geq 0 }.
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@item @emph{Example}:
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@smallexample
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program test_cosh
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real(8) :: x = 1.0_8
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x = cosh(x)
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end program test_cosh
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DCOSH(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node ERF
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@section @code{ERF} --- Error function
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@findex @code{ERF} intrinsic
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@cindex error
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@table @asis
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@item @emph{Description}:
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@code{ERF(X)} computes the error function of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = ERF(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it is positive
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(@math{ - 1 \leq erf (x) \leq 1 }.
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@item @emph{Example}:
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@smallexample
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program test_erf
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real(8) :: x = 0.17_8
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x = erf(x)
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end program test_erf
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DERF(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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@node ERFC
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@section @code{ERFC} --- Error function
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@findex @code{ERFC} intrinsic
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@cindex error
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@table @asis
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@item @emph{Description}:
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@code{ERFC(X)} computes the complementary error function of @var{X}.
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@item @emph{Option}:
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f95, gnu
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@item @emph{Type}:
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elemental function
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@item @emph{Syntax}:
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@code{X = ERFC(X)}
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@item @emph{Arguments}:
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@multitable @columnfractions .15 .80
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@item @var{X} @tab The type shall be an @code{REAL(*)}.
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@end multitable
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||||
|
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@item @emph{Return value}:
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The return value is of type @code{REAL(*)} and it is positive
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(@math{ 0 \leq erfc (x) \leq 2 }.
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@item @emph{Example}:
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@smallexample
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program test_erfc
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real(8) :: x = 0.17_8
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x = erfc(x)
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end program test_erfc
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@end smallexample
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@item @emph{Specific names}:
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@multitable @columnfractions .24 .24 .24 .24
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@item Name @tab Argument @tab Return type @tab Option
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@item @code{DERFC(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
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@end multitable
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@end table
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||||
|
||||
@node SINH
|
||||
@section @code{SINH} --- Hyperbolic sine function
|
||||
@findex @code{SINH} intrinsic
|
||||
@findex @code{DSINH} intrinsic
|
||||
@cindex hyperbolic sine
|
||||
|
||||
@table @asis
|
||||
@item @emph{Description}:
|
||||
@code{SINH(X)} computes the hyperbolic sine of @var{X}.
|
||||
|
||||
@item @emph{Option}:
|
||||
f95, gnu
|
||||
|
||||
@item @emph{Type}:
|
||||
elemental function
|
||||
|
||||
@item @emph{Syntax}:
|
||||
@code{X = SINH(X)}
|
||||
|
||||
@item @emph{Arguments}:
|
||||
@multitable @columnfractions .15 .80
|
||||
@item @var{X} @tab The type shall be an @code{REAL(*)}.
|
||||
@end multitable
|
||||
|
||||
@item @emph{Return value}:
|
||||
The return value is of type @code{REAL(*)}.
|
||||
|
||||
@item @emph{Example}:
|
||||
@smallexample
|
||||
program test_sinh
|
||||
real(8) :: x = - 1.0_8
|
||||
x = sinh(x)
|
||||
end program test_sinh
|
||||
@end smallexample
|
||||
|
||||
@item @emph{Specific names}:
|
||||
@multitable @columnfractions .24 .24 .24 .24
|
||||
@item Name @tab Argument @tab Return type @tab Option
|
||||
@item @code{DSINH(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
|
||||
@end multitable
|
||||
@end table
|
||||
|
||||
|
||||
|
||||
@node TANH
|
||||
@section @code{TANH} --- Hyperbolic tangent function
|
||||
@findex @code{TANH} intrinsic
|
||||
@findex @code{DTANH} intrinsic
|
||||
@cindex hyperbolic tangent
|
||||
|
||||
@table @asis
|
||||
@item @emph{Description}:
|
||||
@code{TANH(X)} computes the hyperbolic tangent of @var{X}.
|
||||
|
||||
@item @emph{Option}:
|
||||
f95, gnu
|
||||
|
||||
@item @emph{Type}:
|
||||
elemental function
|
||||
|
||||
@item @emph{Syntax}:
|
||||
@code{X = TANH(X)}
|
||||
|
||||
@item @emph{Arguments}:
|
||||
@multitable @columnfractions .15 .80
|
||||
@item @var{X} @tab The type shall be an @code{REAL(*)}.
|
||||
@end multitable
|
||||
|
||||
@item @emph{Return value}:
|
||||
The return value is of type @code{REAL(*)} and lies in the range
|
||||
@math{ - 1 \leq tanh(x) \leq 1 }.
|
||||
|
||||
@item @emph{Example}:
|
||||
@smallexample
|
||||
program test_tanh
|
||||
real(8) :: x = 2.1_8
|
||||
x = tanh(x)
|
||||
end program test_tanh
|
||||
@end smallexample
|
||||
|
||||
@item @emph{Specific names}:
|
||||
@multitable @columnfractions .24 .24 .24 .24
|
||||
@item Name @tab Argument @tab Return type @tab Option
|
||||
@item @code{DTANH(X)} @tab @code{REAL(8) X} @tab @code{REAL(8)} @tab f95, gnu
|
||||
@end multitable
|
||||
@end table
|
||||
|
||||
|
||||
|
||||
@comment gen associated
|
||||
@comment
|
||||
@comment gen atan
|
||||
@comment datan
|
||||
@comment
|
||||
@comment gen atan2
|
||||
@comment datan2
|
||||
@comment
|
||||
@comment gen besj0
|
||||
@comment dbesj0
|
||||
@comment
|
||||
@comment gen besj1
|
||||
@comment dbesj1
|
||||
@comment
|
||||
@comment gen besjn
|
||||
@comment dbesjn
|
||||
@comment
|
||||
@comment gen besy0
|
||||
@comment dbesy0
|
||||
@comment
|
||||
@comment gen besy1
|
||||
@comment dbesy1
|
||||
@comment
|
||||
@comment gen besyn
|
||||
@comment dbesyn
|
||||
@comment
|
||||
@comment gen bit_size
|
||||
@comment
|
||||
@comment gen btest
|
||||
|
|
@ -771,9 +1299,6 @@ end program test_asin
|
|||
@comment ccos
|
||||
@comment zcos,cdcos
|
||||
@comment
|
||||
@comment gen cosh
|
||||
@comment dcosh
|
||||
@comment
|
||||
@comment gen count
|
||||
@comment
|
||||
@comment sub cpu_time
|
||||
|
|
@ -805,12 +1330,6 @@ end program test_asin
|
|||
@comment
|
||||
@comment gen epsilon
|
||||
@comment
|
||||
@comment gen erf
|
||||
@comment derf
|
||||
@comment
|
||||
@comment gen erfc
|
||||
@comment derfc
|
||||
@comment
|
||||
@comment gen etime
|
||||
@comment sub etime
|
||||
@comment
|
||||
|
|
@ -925,7 +1444,7 @@ end program test_asin
|
|||
@comment gen maxexponent
|
||||
@comment
|
||||
@comment gen maxloc
|
||||
@comment
|
||||
@comment
|
||||
@comment gen maxval
|
||||
@comment
|
||||
@comment gen merge
|
||||
|
|
@ -1013,9 +1532,6 @@ end program test_asin
|
|||
@comment csin
|
||||
@comment zsin,cdsin
|
||||
@comment
|
||||
@comment gen sinh
|
||||
@comment dsinh
|
||||
@comment
|
||||
@comment gen size
|
||||
@comment
|
||||
@comment gen spacing
|
||||
|
|
@ -1042,9 +1558,6 @@ end program test_asin
|
|||
@comment gen tan
|
||||
@comment dtan
|
||||
@comment
|
||||
@comment gen tanh
|
||||
@comment dtanh
|
||||
@comment
|
||||
@comment gen tiny
|
||||
@comment
|
||||
@comment gen transfer
|
||||
|
|
@ -1065,5 +1578,3 @@ end program test_asin
|
|||
@comment
|
||||
@comment gen verify
|
||||
|
||||
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue