I'm happy to finally commit stephen@'s implementations of cacos,

cacosh, casin, casinh, catan, and catanh. Thanks to stephen@ and bde@
for working on these.

Submitted by:	stephen@
Reviewed by:	bde

4 files changed, 137 insertions, 13 deletions

diff --git a/lib/msun/man/cacos.3 b/lib/msun/man/cacos.3
new file mode 100644
index 0000000..0bf3f0f
--- /dev/null
+++ b/lib/msun/man/cacos.3
@@ -0,0 +1,128 @@
+.\" Copyright (c) 2013 David Schultz <das@FreeBSD.org>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD$
+.\"
+.Dd May 27, 2013
+.Dt CACOS 3
+.Os
+.Sh NAME
+.Nm cacos ,
+.Nm cacosf ,
+.Nm cacosh ,
+.Nm cacoshf ,
+.Nm casin ,
+.Nm casinf
+.Nm casinh ,
+.Nm casinhf
+.Nm catan ,
+.Nm catanf
+.Nm catanh ,
+.Nm catanhf
+.Nd complex arc trigonometric and hyperbolic functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double complex
+.Fn cacos "double complex z"
+.Ft float complex
+.Fn cacosf "float complex z"
+.Ft double complex
+.Fn cacosh "double complex z"
+.Ft float complex
+.Fn cacoshf "float complex z"
+.Ft double complex
+.Fn casin "double complex z"
+.Ft float complex
+.Fn casinf "float complex z"
+.Ft double complex
+.Fn casinh "double complex z"
+.Ft float complex
+.Fn casinhf "float complex z"
+.Ft double complex
+.Fn catan "double complex z"
+.Ft float complex
+.Fn catanf "float complex z"
+.Ft double complex
+.Fn catanh "double complex z"
+.Ft float complex
+.Fn catanhf "float complex z"
+.Sh DESCRIPTION
+The
+.Fn cacos ,
+.Fn casin ,
+and
+.Fn catan
+functions compute the principal value of the inverse cosine, sine,
+and tangent of the complex number
+.Fa z ,
+respectively.
+The
+.Fn cacosh ,
+.Fn casinh ,
+and
+.Fn catanh
+functions compute the principal value of the inverse hyperbolic
+cosine, sine, and tangent.
+The
+.Fn cacosf ,
+.Fn casinf ,
+.Fn catanf
+.Fn cacoshf ,
+.Fn casinhf ,
+and
+.Fn catanhf
+functions perform the same operations in
+.Fa float
+precision.
+.Pp
+.ie '\*[.T]'utf8'
+.  ds Un \[cu]
+.el
+.  ds Un U
+.
+There is no universal convention for defining the principal values of
+these functions. The following table gives the branch cuts, and the
+corresponding ranges for the return values, adopted by the C language.
+.Bl -column ".Sy Function" ".Sy (-\*(If*I, -I) \*(Un (I, \*(If*I)" ".Sy [-\*(Pi/2*I, \*(Pi/2*I]"
+.It Sy Function Ta Sy Branch Cut(s) Ta Sy Range
+.It cacos Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [0, \*(Pi]
+.It casin Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [-\*(Pi/2, \*(Pi/2]
+.It catan Ta (-\*(If*I, -i) \*(Un (I, \*(If*I) Ta [-\*(Pi/2, \*(Pi/2]
+.It cacosh Ta (-\*(If, 1) Ta [-\*(Pi*I, \*(Pi*I]
+.It casinh Ta (-\*(If*I, -i) \*(Un (I, \*(If*I) Ta [-\*(Pi/2*I, \*(Pi/2*I]
+.It catanh Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [-\*(Pi/2*I, \*(Pi/2*I]
+.El
+.Sh SEE ALSO
+.Xr ccos 3 ,
+.Xr ccosh 3 ,
+.Xr complex 3 ,
+.Xr cos 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr tan 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .
diff --git a/lib/msun/man/ccos.3 b/lib/msun/man/ccos.3
index cf708c1..c07205e 100644
--- a/lib/msun/man/ccos.3
+++ b/lib/msun/man/ccos.3
@@ -69,6 +69,7 @@ functions perform the same operations in
 .Fa float
 precision.
 .Sh SEE ALSO
+.Xr cacos 3 ,
 .Xr ccosh 3 ,
 .Xr complex 3 ,
 .Xr cos 3 ,
diff --git a/lib/msun/man/ccosh.3 b/lib/msun/man/ccosh.3
index 01688b5..f006442 100644
--- a/lib/msun/man/ccosh.3
+++ b/lib/msun/man/ccosh.3
@@ -69,6 +69,7 @@ functions perform the same operations in
 .Fa float
 precision.
 .Sh SEE ALSO
+.Xr cacosh 3 ,
 .Xr ccos 3 ,
 .Xr complex 3 ,
 .Xr cosh 3 ,
diff --git a/lib/msun/man/complex.3 b/lib/msun/man/complex.3
index 4c4dd68..34eb03e 100644
--- a/lib/msun/man/complex.3
+++ b/lib/msun/man/complex.3
@@ -89,6 +89,12 @@ creal	compute the real part
 .\" Section 7.3.5-6 of ISO C99 standard
 .Ss Trigonometric and Hyperbolic Functions
 .Cl
+cacos	arc cosine
+cacosh	arc hyperbolic cosine
+casin	arc sine
+casinh	arc hyperbolic sine
+catan	arc tangent
+catanh	arc hyperbolic tangent
 ccos	cosine
 ccosh	hyperbolic cosine
 csin	sine
@@ -111,20 +117,8 @@ The
 functions described here conform to
 .St -isoC-99 .
 .Sh BUGS
-The inverse trigonometric and hyperbolic functions
-.Fn cacos ,
-.Fn cacosh ,
-.Fn casin ,
-.Fn casinh ,
-.Fn catan ,
-and
-.Fn catanh
-are not implemented.
-.Pp
 The logarithmic functions
 .Fn clog
-are not implemented.
-.Pp
-The power functions
+and the power functions
 .Fn cpow
 are not implemented.