mirror of https://github.com/mkerrisk/man-pages
62 lines
1.2 KiB
Groff
62 lines
1.2 KiB
Groff
.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
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.\"
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.\" %%%LICENSE_START(GPL_NOVERSION_ONELINE)
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.\" Distributed under GPL
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.\" %%%LICENSE_END
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.\"
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.TH CASINH 3 2021-03-22 "" "Linux Programmer's Manual"
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.SH NAME
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casinh, casinhf, casinhl \- complex arc sine hyperbolic
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.SH SYNOPSIS
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.nf
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.B #include <complex.h>
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.PP
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.BI "double complex casinh(double complex " z );
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.BI "float complex casinhf(float complex " z );
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.BI "long double complex casinhl(long double complex " z );
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.PP
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Link with \fI\-lm\fP.
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.fi
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.SH DESCRIPTION
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These functions calculate the complex arc hyperbolic sine of
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.IR z .
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If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP.
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The imaginary part of
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.I y
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is chosen in the interval [\-pi/2,pi/2].
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.PP
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One has:
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.PP
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.nf
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casinh(z) = clog(z + csqrt(z * z + 1))
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.fi
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.SH VERSIONS
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These functions first appeared in glibc in version 2.1.
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.SH ATTRIBUTES
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For an explanation of the terms used in this section, see
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.BR attributes (7).
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.ad l
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.nh
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.TS
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allbox;
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lbx lb lb
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l l l.
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Interface Attribute Value
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T{
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.BR casinh (),
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.BR casinhf (),
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.BR casinhl ()
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T} Thread safety MT-Safe
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.TE
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.hy
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.ad
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.sp 1
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.SH CONFORMING TO
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C99, POSIX.1-2001, POSIX.1-2008.
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.SH SEE ALSO
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.BR asinh (3),
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.BR cabs (3),
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.BR cimag (3),
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.BR csinh (3),
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.BR complex (7)
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