Document complex math library.

22 files changed, 1300 insertions, 31 deletions

diff --git a/lib/libm/Makefile b/lib/libm/Makefile
index 435a1daf88c..15fca095884 100644
--- a/lib/libm/Makefile
+++ b/lib/libm/Makefile
@@ -1,4 +1,4 @@
-#  $OpenBSD: Makefile,v 1.94 2011/07/11 11:07:04 martynas Exp $
+#  $OpenBSD: Makefile,v 1.95 2011/07/20 17:50:43 martynas Exp $
 #  $NetBSD: Makefile,v 1.28 1995/11/20 22:06:19 jtc Exp $
 #
 #  @(#)Makefile 5.1beta 93/09/24 
@@ -187,13 +187,17 @@ SRCS+=		${LONG_SRCS}
 .endif
 
 MAN+=	acos.3 acosh.3 asin.3 asinh.3 atan.3 atan2.3 atanh.3 ceil.3 \
-	cimag.3 conj.3 copysign.3 cos.3 cosh.3 cproj.3 erf.3 exp.3 \
+	copysign.3 cos.3 cosh.3 erf.3 exp.3 \
 	fdim.3 feclearexcept.3 feenableexcept.3 fegetenv.3 \
 	fegetround.3 floor.3 fmax.3 fmod.3 hypot.3 ilogb.3 j0.3 \
 	lgamma.3 logb.3 lrint.3 lround.3 nan.3 nextafter.3 \
 	remainder.3 rint.3 round.3 scalbn.3 sin.3 sinh.3 sqrt.3 \
 	tan.3 tanh.3 trunc.3
 
+MAN+=	cacos.3 cacosh.3 carg.3 casin.3 casinh.3 catan.3 catanh.3 \
+	ccos.3 ccosh.3 cexp.3 cimag.3 clog.3 conj.3 cpow.3 cproj.3 \
+	creal.3 csin.3 csinh.3 csqrt.3 ctan.3 ctanh.3
+
 MLINKS+=erf.3 erfc.3
 MLINKS+=exp.3 exp2.3
 MLINKS+=exp.3 expm1.3
@@ -234,12 +238,9 @@ MLINKS+=atan.3 atanf.3
 MLINKS+=atan2.3 atan2f.3
 MLINKS+=atanh.3 atanhf.3
 MLINKS+=ceil.3 ceilf.3
-MLINKS+=cimag.3 cimagf.3
-MLINKS+=conj.3 conjf.3
 MLINKS+=copysign.3 copysignf.3
 MLINKS+=cos.3 cosf.3
 MLINKS+=cosh.3 coshf.3
-MLINKS+=cproj.3 cprojf.3
 MLINKS+=erf.3 erfcf.3
 MLINKS+=erf.3 erff.3
 MLINKS+=exp.3 exp2f.3
@@ -292,6 +293,29 @@ MLINKS+=tan.3 tanf.3
 MLINKS+=tanh.3 tanhf.3
 MLINKS+=trunc.3 truncf.3
 
+# complex float versions
+MLINKS+=cacos.3 cacosf.3
+MLINKS+=cacosh.3 cacoshf.3
+MLINKS+=carg.3 cargf.3
+MLINKS+=casin.3 casinf.3
+MLINKS+=casinh.3 casinhf.3
+MLINKS+=catan.3 catanf.3
+MLINKS+=catanh.3 catanhf.3
+MLINKS+=ccos.3 ccosf.3
+MLINKS+=ccosh.3 ccoshf.3
+MLINKS+=cexp.3 cexpf.3
+MLINKS+=cimag.3 cimagf.3
+MLINKS+=clog.3 clogf.3
+MLINKS+=conj.3 conjf.3
+MLINKS+=cpow.3 cpowf.3
+MLINKS+=cproj.3 cprojf.3
+MLINKS+=creal.3 crealf.3
+MLINKS+=csin.3 csinf.3
+MLINKS+=csinh.3 csinhf.3
+MLINKS+=csqrt.3 csqrtf.3
+MLINKS+=ctan.3 ctanf.3
+MLINKS+=ctanh.3 ctanhf.3
+
 # long double versions
 MLINKS+=acos.3 acosl.3
 MLINKS+=acosh.3 acoshl.3
@@ -347,4 +371,27 @@ MLINKS+=tan.3 tanl.3
 MLINKS+=tanh.3 tanhl.3
 MLINKS+=trunc.3 truncl.3
 
+# complex long double versions
+MLINKS+=cacos.3 cacosl.3
+MLINKS+=cacosh.3 cacoshl.3
+MLINKS+=carg.3 cargl.3
+MLINKS+=casin.3 casinl.3
+MLINKS+=casinh.3 casinhl.3
+MLINKS+=catan.3 catanl.3
+MLINKS+=catanh.3 catanhl.3
+MLINKS+=ccos.3 ccosl.3
+MLINKS+=ccosh.3 ccoshl.3
+MLINKS+=cexp.3 cexpl.3
+MLINKS+=cimag.3 cimagl.3
+MLINKS+=clog.3 clogl.3
+MLINKS+=conj.3 conjl.3
+MLINKS+=cpow.3 cpowl.3
+MLINKS+=cproj.3 cprojl.3
+MLINKS+=creal.3 creall.3
+MLINKS+=csin.3 csinl.3
+MLINKS+=csinh.3 csinhl.3
+MLINKS+=csqrt.3 csqrtl.3
+MLINKS+=ctan.3 ctanl.3
+MLINKS+=ctanh.3 ctanhl.3
+
 .include <bsd.lib.mk>
diff --git a/lib/libm/man/cacos.3 b/lib/libm/man/cacos.3
new file mode 100644
index 00000000000..28c44112498
--- /dev/null
+++ b/lib/libm/man/cacos.3
@@ -0,0 +1,67 @@
+.\"	$OpenBSD: cacos.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CACOS 3
+.Os
+.Sh NAME
+.Nm cacos ,
+.Nm cacosf ,
+.Nm cacosl
+.Nd complex circular arc cosine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn cacos "double complex z"
+.Ft float complex
+.Fn cacosf "float complex z"
+.Ft long double complex
+.Fn cacosl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn cacos ,
+.Fn cacosf
+and
+.Fn cacosl
+functions compute the complex circular arc cosine of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+cacos(z) = Pi/2 - casin(z).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn cacos ,
+.Fn cacosf
+and
+.Fn cacosl
+functions return the complex circular arc cosine of
+.Fa z
+with unbounded imaginary part, and real part in the interval
+.Bq 0, Pi .
+.Sh SEE ALSO
+.Xr casin 3 ,
+.Xr catan 3
+.Sh STANDARDS
+The
+.Fn cacos ,
+.Fn cacosf
+and
+.Fn cacosl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/cacosh.3 b/lib/libm/man/cacosh.3
new file mode 100644
index 00000000000..decabb2de4c
--- /dev/null
+++ b/lib/libm/man/cacosh.3
@@ -0,0 +1,68 @@
+.\"	$OpenBSD: cacosh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CACOSH 3
+.Os
+.Sh NAME
+.Nm cacosh ,
+.Nm cacoshf ,
+.Nm cacoshl
+.Nd complex inverse hyperbolic cosine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn cacosh "double complex z"
+.Ft float complex
+.Fn cacoshf "float complex z"
+.Ft long double complex
+.Fn cacoshl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn cacosh ,
+.Fn cacoshf
+and
+.Fn cacoshl
+functions compute the complex inverse hyperbolic cosine of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+cacosh(z) = i acos(z).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn cacosh ,
+.Fn cacoshf
+and
+.Fn cacoshl
+functions return the complex inverse hyperbolic cosine of
+.Fa z
+with imaginary part in the interval
+.Bq -Pi, Pi ,
+and non-negative real part.
+.Sh SEE ALSO
+.Xr casinh 3 ,
+.Xr catanh 3
+.Sh STANDARDS
+The
+.Fn cacosh ,
+.Fn cacoshf
+and
+.Fn cacoshl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/carg.3 b/lib/libm/man/carg.3
new file mode 100644
index 00000000000..2a95238b9b4
--- /dev/null
+++ b/lib/libm/man/carg.3
@@ -0,0 +1,59 @@
+.\"	$OpenBSD: carg.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CARG 3
+.Os
+.Sh NAME
+.Nm carg ,
+.Nm cargf ,
+.Nm cargl
+.Nd complex argument functions
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double
+.Fn carg "double complex z"
+.Ft float
+.Fn cargf "float complex z"
+.Ft long double
+.Fn cargl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn carg ,
+.Fn cargf
+and
+.Fn cargl
+functions compute the argument (also called phase angle) of
+.Fa z ,
+with a branch cut on the negative real axis.
+.Sh RETURN VALUES
+The
+.Fn carg ,
+.Fn cargf
+and
+.Fn cargl
+functions return the argument in the interval
+.Bq -Pi, Pi .
+.Sh SEE ALSO
+.Xr cimag 3
+.Sh STANDARDS
+The
+.Fn carg ,
+.Fn cargf
+and
+.Fn cargl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/casin.3 b/lib/libm/man/casin.3
new file mode 100644
index 00000000000..6967558b2fa
--- /dev/null
+++ b/lib/libm/man/casin.3
@@ -0,0 +1,67 @@
+.\"	$OpenBSD: casin.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CASIN 3
+.Os
+.Sh NAME
+.Nm casin ,
+.Nm casinf ,
+.Nm casinl
+.Nd complex circular arc sine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn casin "double complex z"
+.Ft float complex
+.Fn casinf "float complex z"
+.Ft long double complex
+.Fn casinl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn casin ,
+.Fn casinf
+and
+.Fn casinl
+functions compute the complex circular arc sine of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+casin(z) = -i clog(iz + csqrt(1 - z^2)).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn casin ,
+.Fn casinf
+and
+.Fn casinl
+functions return the complex circular arc sine of
+.Fa z
+with unbounded imaginary part, and real part in the interval
+.Bq -Pi/2, Pi/2 .
+.Sh SEE ALSO
+.Xr cacos 3 ,
+.Xr catan 3
+.Sh STANDARDS
+The
+.Fn casin ,
+.Fn casinf
+and
+.Fn casinl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/casinh.3 b/lib/libm/man/casinh.3
new file mode 100644
index 00000000000..eb93fa10d06
--- /dev/null
+++ b/lib/libm/man/casinh.3
@@ -0,0 +1,68 @@
+.\"	$OpenBSD: casinh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CASINH 3
+.Os
+.Sh NAME
+.Nm casinh ,
+.Nm casinhf ,
+.Nm casinhl
+.Nd complex inverse hyperbolic sine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn casinh "double complex z"
+.Ft float complex
+.Fn casinhf "float complex z"
+.Ft long double complex
+.Fn casinhl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn casinh ,
+.Fn casinhf
+and
+.Fn casinhl
+functions compute the complex inverse hyperbolic sine of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+casinh(z) = -i casin(iz).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn casinh ,
+.Fn casinhf
+and
+.Fn casinhl
+functions return the complex inverse hyperbolic sine of
+.Fa z
+with imaginary part in the interval
+.Bq -Pi/2, Pi/2 ,
+and unbounded real part.
+.Sh SEE ALSO
+.Xr cacosh 3 ,
+.Xr catanh 3
+.Sh STANDARDS
+The
+.Fn casinh ,
+.Fn casinhf
+and
+.Fn casinhl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/catan.3 b/lib/libm/man/catan.3
new file mode 100644
index 00000000000..6fd344b37fb
--- /dev/null
+++ b/lib/libm/man/catan.3
@@ -0,0 +1,69 @@
+.\"	$OpenBSD: catan.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CATAN 3
+.Os
+.Sh NAME
+.Nm catan ,
+.Nm catanf ,
+.Nm catanl
+.Nd complex circular arc tangent
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn catan "double complex z"
+.Ft float complex
+.Fn catanf "float complex z"
+.Ft long double complex
+.Fn catanl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn catan ,
+.Fn catanf
+and
+.Fn catanl
+functions compute the complex circular arc tangent of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+Re catan(z) = 1/2 * atan(2x / (1 - x^2 - y^2)) + k Pi.
+Im catan(z) = 1/4 * log((x^2 + (y + 1)^2) / (x^2 + (y - 1)^2)).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn catan ,
+.Fn catanf
+and
+.Fn catanl
+functions return the complex circular arc tangent of
+.Fa z
+with unbounded imaginary part, and real part in the interval
+.Bq -Pi/2, Pi/2 .
+.Sh SEE ALSO
+.Xr cacos 3 ,
+.Xr casin 3
+.Sh STANDARDS
+The
+.Fn catan ,
+.Fn catanf
+and
+.Fn catanl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/catanh.3 b/lib/libm/man/catanh.3
new file mode 100644
index 00000000000..ba437ee59b6
--- /dev/null
+++ b/lib/libm/man/catanh.3
@@ -0,0 +1,68 @@
+.\"	$OpenBSD: catanh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CATANH 3
+.Os
+.Sh NAME
+.Nm catanh ,
+.Nm catanhf ,
+.Nm catanhl
+.Nd complex inverse hyperbolic tangent
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn catanh "double complex z"
+.Ft float complex
+.Fn catanhf "float complex z"
+.Ft long double complex
+.Fn catanhl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn catanh ,
+.Fn catanhf
+and
+.Fn catanhl
+functions compute the complex inverse hyperbolic tangent of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+catanh(z) = -i catan(iz).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn catanh ,
+.Fn catanhf
+and
+.Fn catanhl
+functions return the complex inverse hyperbolic tangent of
+.Fa z
+with imaginary part in the interval
+.Bq -Pi/2, Pi/2 ,
+and unbounded real part.
+.Sh SEE ALSO
+.Xr cacosh 3 ,
+.Xr casinh 3
+.Sh STANDARDS
+The
+.Fn catanh ,
+.Fn catanhf
+and
+.Fn catanhl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/ccos.3 b/lib/libm/man/ccos.3
new file mode 100644
index 00000000000..a5a5f0c0863
--- /dev/null
+++ b/lib/libm/man/ccos.3
@@ -0,0 +1,66 @@
+.\"	$OpenBSD: ccos.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CCOS 3
+.Os
+.Sh NAME
+.Nm ccos ,
+.Nm ccosf ,
+.Nm ccosl
+.Nd complex circular cosine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn ccos "double complex z"
+.Ft float complex
+.Fn ccosf "float complex z"
+.Ft long double complex
+.Fn ccosl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn ccos ,
+.Fn ccosf
+and
+.Fn ccosl
+functions compute the complex circular cosine of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+ccos(z) = cos(x) cosh(y) - i sin(x) sinh(y).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn ccos ,
+.Fn ccosf
+and
+.Fn ccosl
+functions return the complex circular cosine of
+.Fa z .
+.Sh SEE ALSO
+.Xr csin 3 ,
+.Xr ctan 3
+.Sh STANDARDS
+The
+.Fn ccos ,
+.Fn ccosf
+and
+.Fn ccosl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/ccosh.3 b/lib/libm/man/ccosh.3
new file mode 100644
index 00000000000..909c88030c5
--- /dev/null
+++ b/lib/libm/man/ccosh.3
@@ -0,0 +1,66 @@
+.\"	$OpenBSD: ccosh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CCOSH 3
+.Os
+.Sh NAME
+.Nm ccosh ,
+.Nm ccoshf ,
+.Nm ccoshl
+.Nd complex hyperbolic cosine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn ccosh "double complex z"
+.Ft float complex
+.Fn ccoshf "float complex z"
+.Ft long double complex
+.Fn ccoshl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn ccosh ,
+.Fn ccoshf
+and
+.Fn ccoshl
+functions compute the complex hyperbolic cosine of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+ccosh(z) = cosh(x) cos(y) + i sinh(x) sin(y).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn ccosh ,
+.Fn ccoshf
+and
+.Fn ccoshl
+functions return the complex hyperbolic cosine of
+.Fa z .
+.Sh SEE ALSO
+.Xr csinh 3 ,
+.Xr ctanh 3
+.Sh STANDARDS
+The
+.Fn ccosh ,
+.Fn ccoshf
+and
+.Fn ccoshl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/cexp.3 b/lib/libm/man/cexp.3
new file mode 100644
index 00000000000..1b2e0f00d3a
--- /dev/null
+++ b/lib/libm/man/cexp.3
@@ -0,0 +1,66 @@
+.\"	$OpenBSD: cexp.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CEXP 3
+.Os
+.Sh NAME
+.Nm cexp ,
+.Nm cexpf ,
+.Nm cexpl
+.Nd complex exponential functions
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn cexp "double complex z"
+.Ft float complex
+.Fn cexpf "float complex z"
+.Ft long double complex
+.Fn cexpl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn cexp ,
+.Fn cexpf
+and
+.Fn cexpl
+functions compute the exponential of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+cexp(z) = exp(x) cos(y) + i exp(x) sin(y).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn cexp ,
+.Fn cexpf
+and
+.Fn cexpl
+functions return the exponential of
+.Fa z .
+.Sh SEE ALSO
+.Xr clog 3 ,
+.Xr cpow 3
+.Sh STANDARDS
+The
+.Fn cexp ,
+.Fn cexpf
+and
+.Fn cexpl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/cimag.3 b/lib/libm/man/cimag.3
index 4ccc19887a5..9973a7f6bb0 100644
--- a/lib/libm/man/cimag.3
+++ b/lib/libm/man/cimag.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: cimag.3,v 1.1 2010/07/19 12:48:23 millert Exp $
+.\"	$OpenBSD: cimag.3,v 1.2 2011/07/20 17:50:43 martynas Exp $
 .\"
 .\" Copyright (c) 2010 Todd C. Miller <Todd.Miller@courtesan.com>
 .\"
@@ -14,12 +14,13 @@
 .\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 .\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 .\"
-.Dd $Mdocdate: July 19 2010 $
+.Dd $Mdocdate: July 20 2011 $
 .Dt CIMAG 3
 .Os
 .Sh NAME
 .Nm cimag ,
-.Nm cimagf
+.Nm cimagf ,
+.Nm cimagl
 .Nd compute the imaginary part of a complex number
 .Sh SYNOPSIS
 .Fd #include <complex.h>
@@ -27,25 +28,32 @@
 .Fn cimag "double complex z"
 .Ft float
 .Fn cimagf "float complex z"
+.Ft long double
+.Fn cimagl "long double complex z"
 .Sh DESCRIPTION
 The
-.Fn cimag
-and
+.Fn cimag ,
 .Fn cimagf
+and
+.Fn cimagl
 functions compute the imaginary part of
 .Fa z .
 .Sh RETURN VALUES
 The
-.Fn cimag
-and
+.Fn cimag ,
 .Fn cimagf
+and
+.Fn cimagl
 functions return the imaginary part of the complex number
 .Fa z
 as a real number.
+.Sh SEE ALSO
+.Xr carg 3
 .Sh STANDARDS
 The
-.Fn cimag
-and
+.Fn cimag ,
 .Fn cimagf
+and
+.Fn cimagl
 functions conform to
 .St -isoC-99 .
diff --git a/lib/libm/man/clog.3 b/lib/libm/man/clog.3
new file mode 100644
index 00000000000..f7d58bf1d2d
--- /dev/null
+++ b/lib/libm/man/clog.3
@@ -0,0 +1,73 @@
+.\"	$OpenBSD: clog.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CLOG 3
+.Os
+.Sh NAME
+.Nm clog ,
+.Nm clogf ,
+.Nm clogl
+.Nd complex natural logarithm
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn clog "double complex z"
+.Ft float complex
+.Fn clogf "float complex z"
+.Ft long double complex
+.Fn clogl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn clog ,
+.Fn clogf
+and
+.Fn clogl
+functions compute the complex logarithm to the base
+.Ms e
+(2.718...) of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+clog(z) = log(sqrt(x^2 + y^2)) + i atan(y / x).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn clog ,
+.Fn clogf
+and
+.Fn clogl
+functions return the complex logarithm to the base
+.Ms e
+of
+.Fa z
+with imaginary part in the interval
+.Bq -Pi, Pi ,
+and unbounded real part.
+.Sh SEE ALSO
+.Xr cexp 3 ,
+.Xr cpow 3
+.Sh STANDARDS
+The
+.Fn clog ,
+.Fn clogf
+and
+.Fn clogl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/conj.3 b/lib/libm/man/conj.3
index eb88f13fb0b..8dd6f98f78b 100644
--- a/lib/libm/man/conj.3
+++ b/lib/libm/man/conj.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: conj.3,v 1.1 2010/07/19 12:48:23 millert Exp $
+.\"	$OpenBSD: conj.3,v 1.2 2011/07/20 17:50:43 martynas Exp $
 .\"
 .\" Copyright (c) 2010 Todd C. Miller <Todd.Miller@courtesan.com>
 .\"
@@ -14,12 +14,13 @@
 .\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 .\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 .\"
-.Dd $Mdocdate: July 19 2010 $
+.Dd $Mdocdate: July 20 2011 $
 .Dt CONJ 3
 .Os
 .Sh NAME
 .Nm conj ,
-.Nm conjf
+.Nm conjf ,
+.Nm conjl
 .Nd compute the complex conjugate
 .Sh SYNOPSIS
 .Fd #include <complex.h>
@@ -27,24 +28,31 @@
 .Fn conj "double complex z"
 .Ft float complex
 .Fn conjf "float complex z"
+.Ft long double complex
+.Fn conjl "long double complex z"
 .Sh DESCRIPTION
 The
-.Fn conj
-and
+.Fn conj ,
 .Fn conjf
+and
+.Fn conjl
 reverse the sign of the imaginary part of
 .Fa z ,
 producing the complex conjugate.
 .Sh RETURN VALUES
 The
-.Fn conj
-and
+.Fn conj ,
 .Fn conjf
+and
+.Fn conjl
 functions return the complex conjugate of the complex number
 .Fa z .
+.Sh SEE ALSO
+.Xr carg 3
 .Sh STANDARDS
 The
-.Fn conj
+.Fn conj ,
+.Fn conjl
 and
 .Fn conjf
 functions conform to
diff --git a/lib/libm/man/cpow.3 b/lib/libm/man/cpow.3
new file mode 100644
index 00000000000..5ff99e81b8a
--- /dev/null
+++ b/lib/libm/man/cpow.3
@@ -0,0 +1,64 @@
+.\"	$OpenBSD: cpow.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CPOW 3
+.Os
+.Sh NAME
+.Nm cpow ,
+.Nm cpowf ,
+.Nm cpowl
+.Nd complex power functions
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn cpow "double complex x" "double complex z"
+.Ft float complex
+.Fn cpowf "float complex x" "float complex z"
+.Ft long double complex
+.Fn cpowl "long double complex x" "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn cpow ,
+.Fn cpowf
+and
+.Fn cpowl
+functions compute the complex number
+.Fa x
+raised to the complex power
+.Fa z ,
+with a branch cut along the negative real axis for the first argument.
+.Sh RETURN VALUES
+The
+.Fn cpow ,
+.Fn cpowf
+and
+.Fn cpowl
+functions return the complex complex number
+.Fa x
+raised to the complex power
+.Fa z .
+.Sh SEE ALSO
+.Xr cexp 3 ,
+.Xr clog 3
+.Sh STANDARDS
+The
+.Fn cpow ,
+.Fn cpowf
+and
+.Fn cpowl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/cproj.3 b/lib/libm/man/cproj.3
index 75fb47dcc2e..6170bf32abe 100644
--- a/lib/libm/man/cproj.3
+++ b/lib/libm/man/cproj.3
@@ -1,4 +1,4 @@
-.\"	$OpenBSD: cproj.3,v 1.1 2010/07/19 12:48:23 millert Exp $
+.\"	$OpenBSD: cproj.3,v 1.2 2011/07/20 17:50:43 martynas Exp $
 .\"
 .\" Copyright (c) 2010 Todd C. Miller <Todd.Miller@courtesan.com>
 .\"
@@ -14,12 +14,13 @@
 .\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 .\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 .\"
-.Dd $Mdocdate: July 19 2010 $
+.Dd $Mdocdate: July 20 2011 $
 .Dt CPROJ 3
 .Os
 .Sh NAME
 .Nm cproj ,
-.Nm cprojf
+.Nm cprojf ,
+.Nm cprojl
 .Nd compute projection onto Riemann sphere
 .Sh SYNOPSIS
 .Fd #include <complex.h>
@@ -27,19 +28,23 @@
 .Fn cproj "double complex z"
 .Ft float complex
 .Fn cprojf "float complex z"
+.Ft long double complex
+.Fn cprojl "long double complex z"
 .Sh DESCRIPTION
 The
-.Fn cproj
-and
+.Fn cproj ,
 .Fn cprojf
+and
+.Fn cprojl
 functions compute a projection of
 .Fa z
 onto the Riemann sphere.
 .Sh RETURN VALUES
 The
-.Fn cproj
-and
+.Fn cproj ,
 .Fn cprojf
+and
+.Fn cprojl
 functions return
 .Fa z
 for all finite complex numbers.
@@ -54,8 +59,9 @@ INFINITY + I * copysign(0.0, cimag(z))
 .Xr cimag 3
 .Sh STANDARDS
 The
-.Fn cproj
-and
+.Fn cproj ,
 .Fn cprojf
+and
+.Fn cprojl
 functions conform to
 .St -isoC-99 .
diff --git a/lib/libm/man/creal.3 b/lib/libm/man/creal.3
new file mode 100644
index 00000000000..3aedcd47526
--- /dev/null
+++ b/lib/libm/man/creal.3
@@ -0,0 +1,58 @@
+.\"	$OpenBSD: creal.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CREAL 3
+.Os
+.Sh NAME
+.Nm creal ,
+.Nm crealf ,
+.Nm creall
+.Nd complex real functions
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double
+.Fn creal "double complex z"
+.Ft float
+.Fn crealf "float complex z"
+.Ft long double
+.Fn creall "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn creal ,
+.Fn crealf
+and
+.Fn creall
+functions compute the real part of
+.Fa z .
+.Sh RETURN VALUES
+The
+.Fn creal ,
+.Fn crealf
+and
+.Fn creall
+functions return the real part of
+.Fa z .
+.Sh SEE ALSO
+.Xr carg 3
+.Sh STANDARDS
+The
+.Fn creal ,
+.Fn crealf
+and
+.Fn creall
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/csin.3 b/lib/libm/man/csin.3
new file mode 100644
index 00000000000..9597220bef1
--- /dev/null
+++ b/lib/libm/man/csin.3
@@ -0,0 +1,66 @@
+.\"	$OpenBSD: csin.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CSIN 3
+.Os
+.Sh NAME
+.Nm csin ,
+.Nm csinf ,
+.Nm csinl
+.Nd complex circular sine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn csin "double complex z"
+.Ft float complex
+.Fn csinf "float complex z"
+.Ft long double complex
+.Fn csinl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn csin ,
+.Fn csinf
+and
+.Fn csinl
+functions compute the complex circular sine of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+csin(z) = sin(x) cosh(y) + i cos(x) sinh(y).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn csin ,
+.Fn csinf
+and
+.Fn csinl
+functions return the complex circular sine of
+.Fa z .
+.Sh SEE ALSO
+.Xr ccos 3 ,
+.Xr ctan 3
+.Sh STANDARDS
+The
+.Fn csin ,
+.Fn csinf
+and
+.Fn csinl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/csinh.3 b/lib/libm/man/csinh.3
new file mode 100644
index 00000000000..56a91616eb1
--- /dev/null
+++ b/lib/libm/man/csinh.3
@@ -0,0 +1,65 @@
+.\"	$OpenBSD: csinh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CSINH 3
+.Os
+.Sh NAME
+.Nm csinh ,
+.Nm csinhf ,
+.Nm csinhl
+.Nd complex hyperbolic sine
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn csinh "double complex z"
+.Ft float complex
+.Fn csinhf "float complex z"
+.Ft long double complex
+.Fn csinhl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn csinh ,
+.Fn csinhf
+and
+.Fn csinhl
+functions compute the complex hyperbolic sine of
+.Fa z .
+.Pp
+For all complex floating-point numbers
+.Fa z ,
+.Bd -literal -offset indent
+csinh(z) = (cexp(z) - cexp(-z)) / 2.
+.Ed
+.Sh RETURN VALUES
+The
+.Fn csinh ,
+.Fn csinhf
+and
+.Fn csinhl
+functions return the complex hyperbolic sine of
+.Fa z .
+.Sh SEE ALSO
+.Xr ccosh 3 ,
+.Xr ctanh 3
+.Sh STANDARDS
+The
+.Fn csinh ,
+.Fn csinhf
+and
+.Fn csinhl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/csqrt.3 b/lib/libm/man/csqrt.3
new file mode 100644
index 00000000000..0e12237138f
--- /dev/null
+++ b/lib/libm/man/csqrt.3
@@ -0,0 +1,72 @@
+.\"	$OpenBSD: csqrt.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CSQRT 3
+.Os
+.Sh NAME
+.Nm csqrt ,
+.Nm csqrtf ,
+.Nm csqrtl
+.Nd complex square root
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn csqrt "double complex z"
+.Ft float complex
+.Fn csqrtf "float complex z"
+.Ft long double complex
+.Fn csqrtl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions compute the complex square root of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+Re csqrt(z) = [ (|z| + x) / 2 ]^(1/2).
+Im csqrt(z) = [ (|z| - x) / 2 ]^(1/2).
+.Ed
+.Pp
+Note that -csqrt(z) is also a square root of
+.Fa z .
+The root chosen
+is always in the right half plane and Im csqrt(z) has the same sign
+as y.
+.Sh RETURN VALUES
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions return the complex square root of
+.Fa z .
+.Sh SEE ALSO
+.Xr cpow 3
+.Sh STANDARDS
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/ctan.3 b/lib/libm/man/ctan.3
new file mode 100644
index 00000000000..a01bce752e2
--- /dev/null
+++ b/lib/libm/man/ctan.3
@@ -0,0 +1,72 @@
+.\"	$OpenBSD: ctan.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CTAN 3
+.Os
+.Sh NAME
+.Nm ctan ,
+.Nm ctanf ,
+.Nm ctanl
+.Nd complex circular tangent
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn ctan "double complex z"
+.Ft float complex
+.Fn ctanf "float complex z"
+.Ft long double complex
+.Fn ctanl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn ctan ,
+.Fn ctanf
+and
+.Fn ctanl
+functions compute the complex circular tangent of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+ctan(z) = (sin(2x) + i sinh(2y)) / (cos(2x) + cosh(2y)).
+.Ed
+.Pp
+On the real axis the denominator is zero at odd multiples of Pi/2.
+The denominator is evaluated by its Taylor series near these points.
+.Bd -literal -offset indent
+ctan(z) = -i ctanh(iz).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn ctan ,
+.Fn ctanf
+and
+.Fn ctanl
+functions return the complex circular tangent of
+.Fa z .
+.Sh SEE ALSO
+.Xr ccos 3 ,
+.Xr csin 3
+.Sh STANDARDS
+The
+.Fn ctan ,
+.Fn ctanf
+and
+.Fn ctanl
+functions conform to
+.St -isoC-99 .
diff --git a/lib/libm/man/ctanh.3 b/lib/libm/man/ctanh.3
new file mode 100644
index 00000000000..b2878dc3b65
--- /dev/null
+++ b/lib/libm/man/ctanh.3
@@ -0,0 +1,66 @@
+.\"	$OpenBSD: ctanh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: July 20 2011 $
+.Dt CTANH 3
+.Os
+.Sh NAME
+.Nm ctanh ,
+.Nm ctanhf ,
+.Nm ctanhl
+.Nd complex hyperbolic tangent
+.Sh SYNOPSIS
+.Fd #include <complex.h>
+.Ft double complex
+.Fn ctanh "double complex z"
+.Ft float complex
+.Fn ctanhf "float complex z"
+.Ft long double complex
+.Fn ctanhl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn ctanh ,
+.Fn ctanhf
+and
+.Fn ctanhl
+functions compute the complex hyperbolic tangent of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+ctanh(z) = (sinh(2x) + i sin(2y)) / (cosh(2x) + cos(2y)).
+.Ed
+.Sh RETURN VALUES
+The
+.Fn ctanh ,
+.Fn ctanhf
+and
+.Fn ctanhl
+functions return the complex hyperbolic tangent of
+.Fa z .
+.Sh SEE ALSO
+.Xr ccosh 3 ,
+.Xr csinh 3
+.Sh STANDARDS
+The
+.Fn ctanh ,
+.Fn ctanhf
+and
+.Fn ctanhl
+functions conform to
+.St -isoC-99 .