swildner@ helped test it with llvm/clang.
Dragonfly-bug: <http://bugs.dragonflybsd.org/issue1424>
#define _COMPLEX_H
#ifdef __GNUC__
+#if __STDC_VERSION__ < 199901L
#define _Complex __complex__
-#define _Complex_I 1.0fi
#endif
+#define _Complex_I 1.0fi
+#endif /* !__GNUC__ */
+/* 7.3 Complex arithmetic <complex.h> */
+/* 7.3.1 */
#define complex _Complex
#define I _Complex_I
__BEGIN_DECLS
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
+/* 7.3.5 Trigonometric functions */
+/* 7.3.5.1 The cacos functions */
+double complex cacos(double complex);
+float complex cacosf(float complex);
-__END_DECLS
+/* 7.3.5.2 The casin functions */
+double complex casin(double complex);
+float complex casinf(float complex);
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
+/* 7.3.5.3 The catan functions */
+double complex catan(double complex);
+float complex catanf(float complex);
+
+/* 7.3.5.4 The ccos functions */
+double complex ccos(double complex);
+float complex ccosf(float complex);
+
+/* 7.3.5.5 The csin functions */
+double complex csin(double complex);
+float complex csinf(float complex);
+
+/* 7.3.5.6 The ctan functions */
+double complex ctan(double complex);
+float complex ctanf(float complex);
+
+/* 7.3.6 Hyperbolic functions */
+/* 7.3.6.1 The cacosh functions */
+double complex cacosh(double complex);
+float complex cacoshf(float complex);
+
+/* 7.3.6.2 The casinh functions */
+double complex casinh(double complex);
+float complex casinhf(float complex);
+
+/* 7.3.6.3 The catanh functions */
+double complex catanh(double complex);
+float complex catanhf(float complex);
+
+/* 7.3.6.4 The ccosh functions */
+double complex ccosh(double complex);
+float complex ccoshf(float complex);
+
+/* 7.3.6.5 The csinh functions */
+double complex csinh(double complex);
+float complex csinhf(float complex);
+
+/* 7.3.6.6 The ctanh functions */
+double complex ctanh(double complex);
+float complex ctanhf(float complex);
+
+/* 7.3.7 Exponential and logarithmic functions */
+/* 7.3.7.1 The cexp functions */
+double complex cexp(double complex);
+float complex cexpf(float complex);
+
+/* 7.3.7.2 The clog functions */
+double complex clog(double complex);
+float complex clogf(float complex);
+
+/* 7.3.8 Power and absolute-value functions */
+/* 7.3.8.1 The cabs functions */
+double cabs(double complex);
+float cabsf(float complex);
+
+/* 7.3.8.2 The cpow functions */
+double complex cpow(double complex, double complex);
+float complex cpowf(float complex, float complex);
+
+/* 7.3.8.3 The csqrt functions */
+double complex csqrt(double complex);
+float complex csqrtf(float complex);
+
+/* 7.3.9 Manipulation functions */
+/* 7.3.9.1 The carg functions */
+double carg(double complex);
+float cargf(float complex);
+
+/* 7.3.9.2 The cimag functions */
+double cimag(double complex);
+float cimagf(float complex);
+long double cimagl(long double complex);
+
+/* 7.3.9.3 The conj functions */
+double complex conj(double complex);
+float complex conjf(float complex);
+long double complex conjl(long double complex);
+
+/* 7.3.9.4 The cproj functions */
+double complex cproj(double complex);
+float complex cprojf(float complex);
+long double complex cprojl(long double complex);
+
+/* 7.3.9.5 The creal functions */
+double creal(double complex);
+float crealf(float complex);
+long double creall(long double complex);
+
+__END_DECLS
#endif /* _COMPLEX_H */
/* 7.12.11 manipulation */
float copysignf(float, float);
+long double copysignl(long double x, long double y);
+
double nan(const char *);
float nanf(const char *);
long double nanl(const char *);
.include "man/Makefile.inc"
.include "src/Makefile.inc"
+# Complex arithmentic
+.include "complex/Makefile.inc"
+
.include <bsd.lib.mk>
--- /dev/null
+# $NetBSD: Makefile.inc,v 1.2 2008/03/08 14:21:41 drochner Exp $
+
+.PATH: ${.CURDIR}/complex
+
+SRCS+= cabs.c cabsf.c carg.c cargf.c
+SRCS+= creal.c crealf.c creall.c cimag.c cimagf.c cimagl.c conj.c conjf.c
+SRCS+= cproj.c cprojf.c cprojl.c
+SRCS+= csqrt.c cexp.c clog.c cpow.c
+SRCS+= cephes_subr.c csin.c ccos.c ctan.c csinh.c ccosh.c ctanh.c
+SRCS+= casin.c cacos.c catan.c casinh.c cacosh.c catanh.c
+SRCS+= csqrtf.c cexpf.c clogf.c cpowf.c
+SRCS+= cephes_subrf.c csinf.c ccosf.c ctanf.c csinhf.c ccoshf.c ctanhf.c
+SRCS+= casinf.c cacosf.c catanf.c casinhf.c cacoshf.c catanhf.c
+
+MAN+= cabs.3 cacos.3 cacosh.3 carg.3 casin.3 casinh.3 catan.3 catanh.3
+MAN+= ccos.3 ccosh.3 cexp.3 cimag.3 clog.3 conj.3 cpow.3 creal.3
+MAN+= csin.3 csinh.3 csqrt.3 ctan.3 ctanh.3
+
+MLINKS+= cabs.3 cabsf.3 cacos.3 cacosf.3 cacosh.3 cacoshf.3
+MLINKS+= carg.3 cargf.3 casin.3 casinf.3 casinh.3 casinhf.3
+MLINKS+= catan.3 catanf.3 catanh.3 catanhf.3 ccos.3 ccosf.3
+MLINKS+= ccosh.3 ccoshf.3 cexp.3 cexpf.3 cimag.3 cimagf.3 cimag.3 cimagl.3
+MLINKS+= clog.3 clogf.3 conj.3 conjf.3 conj.3 conjl.3 cpow.3 cpowf.3
+MLINKS+= creal.3 crealf.3 creal.3 creall.3 csin.3 csinf.3 csinh.3 csinhf.3
+MLINKS+= csqrt.3 csqrtf.3 ctan.3 ctanf.3 ctanh.3 ctanhf.3
--- /dev/null
+.\" $NetBSD: cabs.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CABS" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cabs
+.SH NAME
+cabs, cabsf \- return a complex absolute value
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double cabs(double complex\fP \fIz\fP\fB);
+.br
+float cabsf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex absolute value (also called
+norm, modulus, or magnitude) of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex absolute value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+The Base Definitions volume of IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: cabs.c,v 1.1 2007/08/20 16:01:30 drochner Exp $ */
+
+/*
+ * Written by Matthias Drochner <drochner@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <complex.h>
+#include <math.h>
+#include "../src/math_private.h"
+
+double
+cabs(double complex z)
+{
+
+ return hypot(creal(z), cimag(z));
+}
--- /dev/null
+/* $NetBSD: cabsf.c,v 1.1 2007/08/20 16:01:30 drochner Exp $ */
+
+/*
+ * Written by Matthias Drochner <drochner@NetBSD.org>.
+ * Public domain.
+ */
+
+#include <complex.h>
+#include <math.h>
+#include "../src/math_private.h"
+
+float
+cabsf(float complex z)
+{
+
+ return hypotf(crealf(z), cimagf(z));
+}
--- /dev/null
+.\" $NetBSD: cacos.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CACOS" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cacos
+.SH NAME
+cacos, cacosf \- complex arc cosine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex cacos(double complex\fP \fIz\fP\fB);
+.br
+float complex cacosf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc cosine of \fIz\fP, with
+branch cuts outside the interval [-1,\ +1] along the
+real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc cosine value, in the
+range of a strip mathematically unbounded along the imaginary
+axis and in the interval [0,\ pi] along the real axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIccos\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: cacos.c,v 1.1 2007/08/20 16:01:30 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+cacos(double complex z)
+{
+ double complex w;
+
+ w = casin(z);
+ w = (M_PI_2 - creal(w)) - cimag(w) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: cacosf.c,v 1.1 2007/08/20 16:01:30 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cacosf(float complex z)
+{
+ float complex w;
+
+ w = casinf(z);
+ w = ((float)M_PI_2 - crealf(w)) - cimagf(w) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: cacosh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CACOSH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cacosh
+.SH NAME
+cacosh, cacoshf \- complex arc hyperbolic cosine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex cacosh(double complex\fP \fIz\fP\fB);
+.br
+float complex cacoshf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc hyperbolic cosine of
+\fIz\fP, with a branch cut at values less than 1 along the
+real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc hyperbolic cosine value,
+in the range of a half-strip of non-negative values along
+the real axis and in the interval [-\fIi\fPpi,\ +\fIi\fPpi] along
+the imaginary axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIccosh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: cacosh.c,v 1.1 2007/08/20 16:01:30 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+#include <complex.h>
+
+double complex
+cacosh(double complex z)
+{
+ double complex w;
+
+ w = I * cacos(z);
+ return w;
+}
--- /dev/null
+/* $NetBSD: cacoshf.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+#include <complex.h>
+
+float complex
+cacoshf(float complex z)
+{
+ float complex w;
+
+ w = I * cacosf(z);
+ return w;
+}
--- /dev/null
+.\" $NetBSD: carg.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CARG" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" carg
+.SH NAME
+carg, cargf \- complex argument functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double carg(double complex\fP \fIz\fP\fB);
+.br
+float cargf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the argument (also called phase angle)
+of \fIz\fP, with a branch cut along the negative real
+axis.
+.SH RETURN VALUE
+.LP
+These functions return the value of the argument in the interval
+[-pi,\ +pi].
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcimag\fP(), \fIconj\fP(), \fIcproj\fP(), the
+Base Definitions volume of IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: carg.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*
+ * Written by Matthias Drochner <drochner@NetBSD.org>.
+ * Public domain.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double
+carg(double complex z)
+{
+
+ return atan2(cimag(z), creal(z));
+}
--- /dev/null
+/* $NetBSD: cargf.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*
+ * Written by Matthias Drochner <drochner@NetBSD.org>.
+ * Public domain.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float
+cargf(float complex z)
+{
+
+ return atan2f(cimag(z), creal(z));
+}
--- /dev/null
+.\" $NetBSD: casin.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CASIN" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" casin
+.SH NAME
+casin, casinf \- complex arc sine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex casin(double complex\fP \fIz\fP\fB);
+.br
+float complex casinf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc sine of \fIz\fP, with
+branch cuts outside the interval [-1,\ +1] along the
+real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc sine value, in the range
+of a strip mathematically unbounded along the imaginary
+axis and in the interval [-pi/2,\ +pi/2] along the
+real axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcsin\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: casin.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+#ifdef __weak_alias
+__weak_alias(casin, _casin)
+#endif
+
+double complex
+casin(double complex z)
+{
+ double complex w;
+ double complex ca, ct, zz, z2;
+ double x, y;
+
+ x = creal(z);
+ y = cimag(z);
+
+#if 0 /* MD: test is incorrect, casin(>1) is defined */
+ if (y == 0.0) {
+ if (fabs(x) > 1.0) {
+ w = M_PI_2 + 0.0 * I;
+#if 0
+ mtherr ("casin", DOMAIN);
+#endif
+ } else {
+ w = asin(x) + 0.0 * I;
+ }
+ return w;
+ }
+#endif
+
+/* Power series expansion */
+/*
+b = cabs(z);
+if( b < 0.125 )
+{
+z2.r = (x - y) * (x + y);
+z2.i = 2.0 * x * y;
+
+cn = 1.0;
+n = 1.0;
+ca.r = x;
+ca.i = y;
+sum.r = x;
+sum.i = y;
+do
+ {
+ ct.r = z2.r * ca.r - z2.i * ca.i;
+ ct.i = z2.r * ca.i + z2.i * ca.r;
+ ca.r = ct.r;
+ ca.i = ct.i;
+
+ cn *= n;
+ n += 1.0;
+ cn /= n;
+ n += 1.0;
+ b = cn/n;
+
+ ct.r *= b;
+ ct.i *= b;
+ sum.r += ct.r;
+ sum.i += ct.i;
+ b = fabs(ct.r) + fabs(ct.i);
+ }
+while( b > MACHEP );
+w->r = sum.r;
+w->i = sum.i;
+return;
+}
+*/
+
+
+ ca = x + y * I;
+ ct = ca * I;
+ /* sqrt( 1 - z*z) */
+ /* cmul( &ca, &ca, &zz ) */
+ /*x * x - y * y */
+ zz = (x - y) * (x + y) + (2.0 * x * y) * I;
+
+ zz = 1.0 - creal(zz) - cimag(zz) * I;
+ z2 = csqrt(zz);
+
+ zz = ct + z2;
+ zz = clog(zz);
+ /* multiply by 1/i = -i */
+ w = zz * (-1.0 * I);
+ return w;
+}
--- /dev/null
+/* $NetBSD: casinf.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+#ifdef __weak_alias
+__weak_alias(casinf, _casinf)
+#endif
+
+float complex
+casinf(float complex z)
+{
+ float complex w;
+ float complex ca, ct, zz, z2;
+ float x, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+#if 0 /* MD: test is incorrect, casin(>1) is defined */
+ if (y == 0.0f) {
+ if (fabsf(x) > 1.0) {
+ w = M_PI_2 + 0.0f * I;
+#if 0
+ mtherr ("casin", DOMAIN);
+#endif
+ } else {
+ w = asinf(x) + 0.0f * I;
+ }
+ return w;
+ }
+#endif
+
+/* Power series expansion */
+/*
+b = cabsf(z);
+if( b < 0.125 )
+{
+z2.r = (x - y) * (x + y);
+z2.i = 2.0 * x * y;
+
+cn = 1.0;
+n = 1.0;
+ca.r = x;
+ca.i = y;
+sum.r = x;
+sum.i = y;
+do
+ {
+ ct.r = z2.r * ca.r - z2.i * ca.i;
+ ct.i = z2.r * ca.i + z2.i * ca.r;
+ ca.r = ct.r;
+ ca.i = ct.i;
+
+ cn *= n;
+ n += 1.0;
+ cn /= n;
+ n += 1.0;
+ b = cn/n;
+
+ ct.r *= b;
+ ct.i *= b;
+ sum.r += ct.r;
+ sum.i += ct.i;
+ b = fabsf(ct.r) + fabsf(ct.i);
+ }
+while( b > MACHEP );
+w->r = sum.r;
+w->i = sum.i;
+return;
+}
+*/
+
+
+ ca = x + y * I;
+ ct = ca * I;
+ /* sqrt( 1 - z*z) */
+ /* cmul( &ca, &ca, &zz ) */
+ /*x * x - y * y */
+ zz = (x - y) * (x + y) + (2.0f * x * y) * I;
+
+ zz = 1.0f - crealf(zz) - cimagf(zz) * I;
+ z2 = csqrtf(zz);
+
+ zz = ct + z2;
+ zz = clogf(zz);
+ /* multiply by 1/i = -i */
+ w = zz * (-1.0f * I);
+ return w;
+}
--- /dev/null
+.\" $NetBSD: casinh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CASINH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" casinh
+.SH NAME
+casinh, casinhf \- complex arc hyperbolic sine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex casinh(double complex\fP \fIz\fP\fB);
+.br
+float complex casinhf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc hyperbolic sine of \fIz\fP,
+with branch cuts outside the interval
+[-\fIi\fP,\ +\fIi\fP] along the imaginary axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc hyperbolic sine value,
+in the range of a strip mathematically unbounded along the
+real axis and in the interval [-\fIi\fPpi/2,\ +\fIi\fPpi/2] along
+the imaginary axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcsinh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: casinh.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+
+double complex
+casinh(double complex z)
+{
+ double complex w;
+
+ w = -1.0 * I * casin(z * I);
+ return w;
+}
--- /dev/null
+/* $NetBSD: casinhf.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+
+float complex
+casinhf(float complex z)
+{
+ float complex w;
+
+ w = -1.0f * I * casinf(z * I);
+ return w;
+}
--- /dev/null
+.\" $NetBSD: catan.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CATAN" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" catan
+.SH NAME
+catan, catanf \- complex arc tangent functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex catan(double complex\fP \fIz\fP\fB);
+.br
+float complex catanf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc tangent of \fIz\fP,
+with branch cuts outside the interval
+[-\fIi\fP,\ +\fIi\fP] along the imaginary axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc tangent value, in the
+range of a strip mathematically unbounded along the imaginary
+axis and in the interval [-pi/2,\ +pi/2] along the
+real axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIctan\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: catan.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+#ifdef __weak_alias
+__weak_alias(catan, _catan)
+#endif
+
+#define MAXNUM 1.0e308
+
+double complex
+catan(double complex z)
+{
+ double complex w;
+ double a, t, x, x2, y;
+
+ x = creal(z);
+ y = cimag(z);
+
+ if ((x == 0.0) && (y > 1.0))
+ goto ovrf;
+
+ x2 = x * x;
+ a = 1.0 - x2 - (y * y);
+ if (a == 0.0)
+ goto ovrf;
+
+ t = 0.5 * atan2(2.0 * x, a);
+ w = _redupi(t);
+
+ t = y - 1.0;
+ a = x2 + (t * t);
+ if (a == 0.0)
+ goto ovrf;
+
+ t = y + 1.0;
+ a = (x2 + (t * t))/a;
+ w = w + (0.25 * log(a)) * I;
+ return w;
+
+ovrf:
+#if 0
+ mtherr ("catan", OVERFLOW);
+#endif
+ w = MAXNUM + MAXNUM * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: catanf.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrf.h"
+
+#ifdef __weak_alias
+__weak_alias(catanf, _catanf)
+#endif
+
+#define MAXNUMF 1.0e38F
+
+float complex
+catanf(float complex z)
+{
+ float complex w;
+ float a, t, x, x2, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ if ((x == 0.0f) && (y > 1.0f))
+ goto ovrf;
+
+ x2 = x * x;
+ a = 1.0f - x2 - (y * y);
+ if (a == 0.0f)
+ goto ovrf;
+
+ t = 0.5f * atan2f(2.0f * x, a);
+ w = _redupif(t);
+
+ t = y - 1.0f;
+ a = x2 + (t * t);
+ if (a == 0.0f)
+ goto ovrf;
+
+ t = y + 1.0f;
+ a = (x2 + (t * t))/a;
+ w = w + (0.25f * logf(a)) * I;
+ return w;
+
+ovrf:
+#if 0
+ mtherr ("catan", OVERFLOW);
+#endif
+ w = MAXNUMF + MAXNUMF * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: catanh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CATANH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" catanh
+.SH NAME
+catanh, catanhf \- complex arc hyperbolic tangent functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex catanh(double complex\fP \fIz\fP\fB);
+.br
+float complex catanhf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex arc hyperbolic tangent of
+\fIz\fP, with branch cuts outside the interval
+[-1,\ +1] along the real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex arc hyperbolic tangent value,
+in the range of a strip mathematically unbounded along
+the real axis and in the interval [-\fIi\fPpi/2,\ +\fIi\fPpi/2] along
+the imaginary axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIctanh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: catanh.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+
+double complex
+catanh(double complex z)
+{
+ double complex w;
+
+ w = -1.0 * I * catan(z * I);
+ return w;
+}
--- /dev/null
+/* $NetBSD: catanhf.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+
+float complex
+catanhf(float complex z)
+{
+ float complex w;
+
+ w = -1.0f * I * catanf(z * I);
+ return w;
+}
--- /dev/null
+.\" $NetBSD: ccos.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CCOS" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" ccos
+.SH NAME
+ccos, ccosf \- complex cosine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex ccos(double complex\fP \fIz\fP\fB);
+.br
+float complex ccosf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex cosine of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex cosine value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcacos\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: ccos.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+double complex
+ccos(double complex z)
+{
+ double complex w;
+ double ch, sh;
+
+ _cchsh(cimag(z), &ch, &sh);
+ w = cos(creal(z)) * ch - (sin(creal(z)) * sh) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: ccosf.c,v 1.1 2007/08/20 16:01:33 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrf.h"
+
+float complex
+ccosf(float complex z)
+{
+ float complex w;
+ float ch, sh;
+
+ _cchshf(cimagf(z), &ch, &sh);
+ w = cosf(crealf(z)) * ch - (sinf(crealf(z)) * sh) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: ccosh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CCOSH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" ccosh
+.SH NAME
+ccosh, ccoshf \- complex hyperbolic cosine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex ccosh(double complex\fP \fIz\fP\fB);
+.br
+float complex ccoshf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex hyperbolic cosine of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex hyperbolic cosine value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcacosh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: ccosh.c,v 1.1 2007/08/20 16:01:33 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+ccosh(double complex z)
+{
+ double complex w;
+ double x, y;
+
+ x = creal(z);
+ y = cimag(z);
+ w = cosh(x) * cos(y) + (sinh(x) * sin(y)) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: ccoshf.c,v 1.1 2007/08/20 16:01:33 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+ccoshf(float complex z)
+{
+ float complex w;
+ float x, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+ w = coshf(x) * cosf(y) + (sinhf(x) * sinf(y)) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: cephes_subr.c,v 1.1 2007/08/20 16:01:33 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+/* calculate cosh and sinh */
+
+void
+_cchsh(double x, double *c, double *s)
+{
+ double e, ei;
+
+ if (fabs(x) <= 0.5) {
+ *c = cosh(x);
+ *s = sinh(x);
+ } else {
+ e = exp(x);
+ ei = 0.5 / e;
+ e = 0.5 * e;
+ *s = e - ei;
+ *c = e + ei;
+ }
+}
+
+/* Program to subtract nearest integer multiple of PI */
+
+/* extended precision value of PI: */
+static const double DP1 = 3.14159265160560607910E0;
+static const double DP2 = 1.98418714791870343106E-9;
+static const double DP3 = 1.14423774522196636802E-17;
+#define MACHEP 1.1e-16
+
+double
+_redupi(double x)
+{
+ double t;
+ long i;
+
+ t = x / M_PI;
+ if (t >= 0.0)
+ t += 0.5;
+ else
+ t -= 0.5;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+/* Taylor series expansion for cosh(2y) - cos(2x) */
+
+double
+_ctans(double complex z)
+{
+ double f, x, x2, y, y2, rn, t;
+ double d;
+
+ x = fabs(2.0 * creal(z));
+ y = fabs(2.0 * cimag(z));
+
+ x = _redupi(x);
+
+ x = x * x;
+ y = y * y;
+ x2 = 1.0;
+ y2 = 1.0;
+ f = 1.0;
+ rn = 0.0;
+ d = 0.0;
+ do {
+ rn += 1.0;
+ f *= rn;
+ rn += 1.0;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 + x2;
+ t /= f;
+ d += t;
+
+ rn += 1.0;
+ f *= rn;
+ rn += 1.0;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 - x2;
+ t /= f;
+ d += t;
+ } while (fabs(t/d) > MACHEP);
+ return d;
+}
--- /dev/null
+/* $NetBSD: cephes_subr.h,v 1.1 2007/08/20 16:01:33 drochner Exp $ */
+
+void _cchsh(double, double *, double *);
+double _redupi(double);
+double _ctans(double complex);
--- /dev/null
+/* $NetBSD: cephes_subrf.c,v 1.1 2007/08/20 16:01:34 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrf.h"
+
+/* calculate cosh and sinh */
+
+void
+_cchshf(float x, float *c, float *s)
+{
+ float e, ei;
+
+ if (fabsf(x) <= 0.5f) {
+ *c = coshf(x);
+ *s = sinhf(x);
+ } else {
+ e = expf(x);
+ ei = 0.5f / e;
+ e = 0.5f * e;
+ *s = e - ei;
+ *c = e + ei;
+ }
+}
+
+/* Program to subtract nearest integer multiple of PI */
+
+/* extended precision value of PI: */
+static const double DP1 = 3.140625;
+static const double DP2 = 9.67502593994140625E-4;
+static const double DP3 = 1.509957990978376432E-7;
+#define MACHEPF 3.0e-8
+
+float
+_redupif(float x)
+{
+ float t;
+ long i;
+
+ t = x / (float)M_PI;
+ if (t >= 0.0f)
+ t += 0.5f;
+ else
+ t -= 0.5f;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+/* Taylor series expansion for cosh(2y) - cos(2x) */
+
+float
+_ctansf(float complex z)
+{
+ float f, x, x2, y, y2, rn, t, d;
+
+ x = fabsf(2.0f * crealf(z));
+ y = fabsf(2.0f * cimagf(z));
+
+ x = _redupif(x);
+
+ x = x * x;
+ y = y * y;
+ x2 = 1.0f;
+ y2 = 1.0f;
+ f = 1.0f;
+ rn = 0.0f;
+ d = 0.0f;
+ do {
+ rn += 1.0f;
+ f *= rn;
+ rn += 1.0f;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 + x2;
+ t /= f;
+ d += t;
+
+ rn += 1.0f;
+ f *= rn;
+ rn += 1.0f;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 - x2;
+ t /= f;
+ d += t;
+ } while (fabsf(t/d) > MACHEPF);
+ return d;
+}
--- /dev/null
+/* $NetBSD: cephes_subrf.h,v 1.1 2007/08/20 16:01:34 drochner Exp $ */
+
+void _cchshf(float, float *, float *);
+float _redupif(float);
+float _ctansf(float complex);
--- /dev/null
+.\" $NetBSD: cexp.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CEXP" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cexp
+.SH NAME
+cexp, cexpf \- complex exponential functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex cexp(double complex\fP \fIz\fP\fB);
+.br
+float complex cexpf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex exponent of \fIz\fP, defined
+as \fIe**z\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex exponential value of \fIz\fP.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIclog\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: cexp.c,v 1.1 2007/08/20 16:01:34 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+cexp(double complex z)
+{
+ double complex w;
+ double r, x, y;
+
+ x = creal(z);
+ y = cimag(z);
+ r = exp(x);
+ w = r * cos(y) + r * sin(y) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: cexpf.c,v 1.1 2007/08/20 16:01:34 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cexpf(float complex z)
+{
+ float complex w;
+ float r, x, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+ r = expf(x);
+ w = r * cosf(y) + r * sinf(y) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: cimag.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CIMAG" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cimag
+.SH NAME
+cimag, cimagf \- complex imaginary functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double cimag(double complex\fP \fIz\fP\fB);
+.br
+float cimagf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the imaginary part of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the imaginary part value (as a real).
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+For a variable \fIz\fP of complex type:
+.sp
+.RS
+.nf
+
+\fBz == creal(z) + cimag(z)*I
+\fP
+.fi
+.RE
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcarg\fP(), \fIconj\fP(), \fIcproj\fP(), \fIcreal\fP(), the
+Base Definitions volume of IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
+#include "../src/math_private.h"
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+double
+cimag(double complex z)
+{
+ const double_complex z1 = { .f = z };
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (IMAGPART(z1));
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
+#include "../src/math_private.h"
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+float
+cimagf(float complex z)
+{
+ const float_complex z1 = { .f = z };
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (IMAGPART(z1));
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
+#include "../src/math_private.h"
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+long double
+cimagl(long double complex z)
+{
+ const long_double_complex z1 = { .f = z };
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (IMAGPART(z1));
+}
--- /dev/null
+.\" $NetBSD: clog.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CLOG" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" clog
+.SH NAME
+clog, clogf \- complex natural logarithm functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex clog(double complex\fP \fIz\fP\fB);
+.br
+float complex clogf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex natural (base \fIe\fP) logarithm
+of \fIz\fP, with a branch cut along the negative
+real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex natural logarithm value,
+in the range of a strip mathematically unbounded along the
+real axis and in the interval [-\fIi\fPpi,\ +\fIi\fPpi] along the
+imaginary axis.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcexp\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: clog.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+clog(double complex z)
+{
+ double complex w;
+ double p, rr;
+
+ rr = cabs(z);
+ p = log(rr);
+ rr = atan2(cimag(z), creal(z));
+ w = p + rr * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: clogf.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+clogf(float complex z)
+{
+ float complex w;
+ float p, rr;
+
+ rr = cabsf(z);
+ p = logf(rr);
+ rr = atan2f(cimagf(z), crealf(z));
+ w = p + rr * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: conj.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CONJ" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" conj
+.SH NAME
+conj, conjf \- complex conjugate functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex conj(double complex\fP \fIz\fP\fB);
+.br
+float complex conjf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex conjugate of \fIz\fP, by
+reversing the sign of its imaginary part.
+.SH RETURN VALUE
+.LP
+These functions return the complex conjugate value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcarg\fP(), \fIcimag\fP(), \fIcproj\fP(), \fIcreal\fP(), the
+Base Definitions volume of IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+#include "../src/math_private.h"
-#define complex _Complex
-#define I _Complex_I
+double complex
+conj(double complex z)
+{
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (cpack(creal(z), -cimag(z)));
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+#include "../src/math_private.h"
-#define complex _Complex
-#define I _Complex_I
+float complex
+conjf(float complex z)
+{
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (cpackf(crealf(z), -cimagf(z)));
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+#include "../src/math_private.h"
-#define complex _Complex
-#define I _Complex_I
+long double complex
+conjl(long double complex z)
+{
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ return (cpackl(creall(z), -cimagl(z)));
+}
--- /dev/null
+.\" $NetBSD: cpow.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CPOW" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" cpow
+.SH NAME
+cpow, cpowf \- complex power functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex cpow(double complex\fP \fIx\fP\fB, double complex\fP
+\fIy\fP\fB);
+.br
+float complex cpowf(float complex\fP \fIx\fP\fB, float complex\fP
+\fIy\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex power function \fIx**y\fP,
+with a branch cut for the first
+parameter along the negative real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex power function value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcabs\fP(), \fIcsqrt\fP(), the Base Definitions volume of
+IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: cpow.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+cpow(double complex a, double complex z)
+{
+ double complex w;
+ double x, y, r, theta, absa, arga;
+
+ x = creal(z);
+ y = cimag(z);
+ absa = cabs(a);
+ if (absa == 0.0) {
+ return (0.0 + 0.0 * I);
+ }
+ arga = carg(a);
+ r = pow(absa, x);
+ theta = x * arga;
+ if (y != 0.0) {
+ r = r * exp(-y * arga);
+ theta = theta + y * log(absa);
+ }
+ w = r * cos(theta) + (r * sin(theta)) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: cpowf.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cpowf(float complex a, float complex z)
+{
+ float complex w;
+ float x, y, r, theta, absa, arga;
+
+ x = crealf(z);
+ y = cimagf(z);
+ absa = cabsf(a);
+ if (absa == 0.0f) {
+ return (0.0f + 0.0f * I);
+ }
+ arga = cargf(a);
+ r = powf(absa, x);
+ theta = x * arga;
+ if (y != 0.0f) {
+ r = r * expf(-y * arga);
+ theta = theta + y * logf(absa);
+ }
+ w = r * cosf(theta) + (r * sinf(theta)) * I;
+ return w;
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
-
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
#include <sys/cdefs.h>
-__BEGIN_DECLS
+#include <complex.h>
+#include <math.h>
+
+#include "../src/math_private.h"
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
+double complex
+cproj(double complex z)
+{
-__END_DECLS
+ if (!isinf(creal(z)) && !isinf(cimag(z)))
+ return (z);
+ else
+ return (cpack(INFINITY, copysign(0.0, cimag(z))));
+}
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
+#if LDBL_MANT_DIG == 53
+__weak_reference(cproj, cprojl);
#endif
-#endif /* _COMPLEX_H */
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
-
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
#include <sys/cdefs.h>
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
+#include <complex.h>
+#include <math.h>
-__END_DECLS
+#include "../src/math_private.h"
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
+float complex
+cprojf(float complex z)
+{
-#endif /* _COMPLEX_H */
+ if (!isinf(crealf(z)) && !isinf(cimagf(z)))
+ return (z);
+ else
+ return (cpackf(INFINITY, copysignf(0.0, cimagf(z))));
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
-
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
#include <sys/cdefs.h>
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
+#include <complex.h>
+#include <math.h>
-__END_DECLS
+#include "../src/math_private.h"
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
+long double complex
+cprojl(long double complex z)
+{
-#endif /* _COMPLEX_H */
+ if (!isinf(creall(z)) && !isinf(cimagl(z)))
+ return (z);
+ else
+ return (cpackl(INFINITY, copysignl(0.0, cimagl(z))));
+}
--- /dev/null
+.\" $NetBSD: creal.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CREAL" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" creal
+.SH NAME
+creal, crealf \- complex real functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double creal(double complex\fP \fIz\fP\fB);
+.br
+float crealf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the real part of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the real part value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+For a variable \fIz\fP of type \fBcomplex\fP:
+.sp
+.RS
+.nf
+
+\fBz == creal(z) + cimag(z)*I
+\fP
+.fi
+.RE
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcarg\fP(), \fIcimag\fP(), \fIconj\fP(), \fIcproj\fP(), the
+Base Definitions volume of IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+double
+creal(double complex z)
+{
+ return z;
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+float
+crealf(float complex z)
+{
+ return z;
+}
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <complex.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
-
-#define complex _Complex
-#define I _Complex_I
-
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+long double
+creall(long double complex z)
+{
+ return z;
+}
--- /dev/null
+.\" $NetBSD: csin.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CSIN" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" csin
+.SH NAME
+csin, csinf \- complex sine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex csin(double complex\fP \fIz\fP\fB);
+.br
+float complex csinf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex sine of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex sine value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcasin\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: csin.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+double complex
+csin(double complex z)
+{
+ double complex w;
+ double ch, sh;
+
+ _cchsh(cimag(z), &ch, &sh);
+ w = sin(creal(z)) * ch + (cos(creal(z)) * sh) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: csinf.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrf.h"
+
+float complex
+csinf(float complex z)
+{
+ float complex w;
+ float ch, sh;
+
+ _cchshf(cimagf(z), &ch, &sh);
+ w = sinf(crealf(z)) * ch + (cosf(crealf(z)) * sh) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: csinh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CSINH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" csinh
+.SH NAME
+csinh, csinhf \- complex hyperbolic sine functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex csinh(double complex\fP \fIz\fP\fB);
+.br
+float complex csinhf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex hyperbolic sine of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex hyperbolic sine value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcasinh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: csinh.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+csinh(double complex z)
+{
+ double complex w;
+ double x, y;
+
+ x = creal(z);
+ y = cimag(z);
+ w = sinh(x) * cos(y) + (cosh(x) * sin(y)) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: csinhf.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+csinhf(float complex z)
+{
+ float complex w;
+ float x, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+ w = sinhf(x) * cosf(y) + (coshf(x) * sinf(y)) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: csqrt.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CSQRT" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" csqrt
+.SH NAME
+csqrt, csqrtf \- complex square root functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex csqrt(double complex\fP \fIz\fP\fB);
+.br
+float complex csqrtf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex square root of \fIz\fP,
+with a branch cut along the negative real axis.
+.SH RETURN VALUE
+.LP
+These functions return the complex square root value, in the
+range of the right half-plane (including the imaginary
+axis).
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcabs\fP(), \fIcpow\fP(), the Base Definitions volume of
+IEEE\ Std\ 1003.1-2001, \fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: csqrt.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+csqrt(double complex z)
+{
+ double complex w;
+ double x, y, r, t, scale;
+
+ x = creal (z);
+ y = cimag (z);
+
+ if (y == 0.0) {
+ if (x == 0.0) {
+ w = 0.0 + y * I;
+ } else {
+ r = fabs(x);
+ r = sqrt(r);
+ if (x < 0.0) {
+ w = 0.0 + r * I;
+ } else {
+ w = r + y * I;
+ }
+ }
+ return w;
+ }
+ if (x == 0.0) {
+ r = fabs(y);
+ r = sqrt(0.5 * r);
+ if (y > 0)
+ w = r + r * I;
+ else
+ w = r - r * I;
+ return w;
+ }
+ /* Rescale to avoid internal overflow or underflow. */
+ if ((fabs(x) > 4.0) || (fabs(y) > 4.0)) {
+ x *= 0.25;
+ y *= 0.25;
+ scale = 2.0;
+ } else {
+#if 1
+ x *= 1.8014398509481984e16; /* 2^54 */
+ y *= 1.8014398509481984e16;
+ scale = 7.450580596923828125e-9; /* 2^-27 */
+#else
+ x *= 4.0;
+ y *= 4.0;
+ scale = 0.5;
+#endif
+ }
+ w = x + y * I;
+ r = cabs(w);
+ if (x > 0) {
+ t = sqrt(0.5 * r + 0.5 * x);
+ r = scale * fabs((0.5 * y) / t );
+ t *= scale;
+ } else {
+ r = sqrt(0.5 * r - 0.5 * x);
+ t = scale * fabs((0.5 * y) / r);
+ r *= scale;
+ }
+ if (y < 0)
+ w = t - r * I;
+ else
+ w = t + r * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: csqrtf.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+csqrtf(float complex z)
+{
+ float complex w;
+ float x, y, r, t, scale;
+
+ x = crealf (z);
+ y = cimagf (z);
+
+ if (y == 0.0f) {
+ if (x < 0.0f) {
+ w = 0.0f + sqrtf(-x) * I;
+ return w;
+ } else if (x == 0.0f) {
+ return (0.0f + y * I);
+ } else {
+ w = sqrtf(x) + y * I;
+ return w;
+ }
+ }
+
+ if (x == 0.0f) {
+ r = fabsf(y);
+ r = sqrtf(0.5f * r);
+ if (y > 0)
+ w = r + r * I;
+ else
+ w = r - r * I;
+ return w;
+ }
+
+ /* Rescale to avoid internal overflow or underflow. */
+ if ((fabsf(x) > 4.0f) || (fabsf(y) > 4.0f)) {
+ x *= 0.25f;
+ y *= 0.25f;
+ scale = 2.0f;
+ } else {
+#if 1
+ x *= 6.7108864e7f; /* 2^26 */
+ y *= 6.7108864e7f;
+ scale = 1.220703125e-4f; /* 2^-13 */
+#else
+ x *= 4.0f;
+ y *= 4.0f;
+ scale = 0.5f;
+#endif
+ }
+ w = x + y * I;
+ r = cabsf(w);
+ if( x > 0 ) {
+ t = sqrtf(0.5f * r + 0.5f * x);
+ r = scale * fabsf((0.5f * y) / t);
+ t *= scale;
+ } else {
+ r = sqrtf(0.5f * r - 0.5f * x);
+ t = scale * fabsf((0.5f * y) / r);
+ r *= scale;
+ }
+
+ if (y < 0)
+ w = t - r * I;
+ else
+ w = t + r * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: ctan.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CTAN" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" ctan
+.SH NAME
+ctan, ctanf \- complex tangent functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex ctan(double complex\fP \fIz\fP\fB);
+.br
+float complex ctanf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex tangent of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex tangent value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcatan\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: ctan.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+#define MAXNUM 1.0e308
+
+double complex
+ctan(double complex z)
+{
+ double complex w;
+ double d;
+
+ d = cos(2.0 * creal(z)) + cosh(2.0 * cimag(z));
+
+ if (fabs(d) < 0.25)
+ d = _ctans(z);
+
+ if (d == 0.0) {
+ /* mtherr ("ctan", OVERFLOW); */
+ w = MAXNUM + MAXNUM * I;
+ return w;
+ }
+
+ w = sin(2.0 * creal(z)) / d + (sinh(2.0 * cimag(z)) / d) * I;
+ return w;
+}
--- /dev/null
+/* $NetBSD: ctanf.c,v 1.1 2007/08/20 16:01:38 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrf.h"
+
+#define MAXNUMF 1.0e38f
+
+float complex
+ctanf(float complex z)
+{
+ float complex w;
+ float d;
+
+ d = cosf(2.0f * crealf(z)) + coshf(2.0f * cimagf(z));
+
+ if (fabsf(d) < 0.25f)
+ d = _ctansf(z);
+
+ if (d == 0.0f) {
+ /* mtherr ("ctan", OVERFLOW); */
+ w = MAXNUMF + MAXNUMF * I;
+ return w;
+ }
+
+ w = sinf(2.0f * crealf(z)) / d + (sinhf(2.0f * cimagf(z)) / d) * I;
+ return w;
+}
--- /dev/null
+.\" $NetBSD: ctanh.3,v 1.1 2008/02/20 09:55:38 drochner Exp $
+.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
+.TH "CTANH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
+.\" ctanh
+.SH NAME
+ctanh, ctanhf \- complex hyperbolic tangent functions
+.SH SYNOPSIS
+.LP
+\fB#include <complex.h>
+.br
+.sp
+double complex ctanh(double complex\fP \fIz\fP\fB);
+.br
+float complex ctanhf(float complex\fP \fIz\fP\fB);
+.br
+\fP
+.SH DESCRIPTION
+.LP
+These functions compute the complex hyperbolic tangent of \fIz\fP.
+.SH RETURN VALUE
+.LP
+These functions return the complex hyperbolic tangent value.
+.SH ERRORS
+.LP
+No errors are defined.
+.LP
+\fIThe following sections are informative.\fP
+.SH EXAMPLES
+.LP
+None.
+.SH APPLICATION USAGE
+.LP
+None.
+.SH RATIONALE
+.LP
+None.
+.SH FUTURE DIRECTIONS
+.LP
+None.
+.SH SEE ALSO
+.LP
+\fIcatanh\fP(), the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
+\fI<complex.h>\fP
+.SH COPYRIGHT
+Portions of this text are reprinted and reproduced in electronic form
+from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
+-- Portable Operating System Interface (POSIX), The Open Group Base
+Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
+Electrical and Electronics Engineers, Inc and The Open Group. In the
+event of any discrepancy between this version and the original IEEE and
+The Open Group Standard, the original IEEE and The Open Group Standard
+is the referee document. The original Standard can be obtained online at
+http://www.opengroup.org/unix/online.html .
--- /dev/null
+/* $NetBSD: ctanh.c,v 1.1 2007/08/20 16:01:38 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+ctanh(double complex z)
+{
+ double complex w;
+ double x, y, d;
+
+ x = creal(z);
+ y = cimag(z);
+ d = cosh(2.0 * x) + cos(2.0 * y);
+ w = sinh(2.0 * x) / d + (sin(2.0 * y) / d) * I;
+
+ return w;
+}
--- /dev/null
+/* $NetBSD: ctanhf.c,v 1.1 2007/08/20 16:01:38 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * 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 NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+ctanhf(float complex z)
+{
+ float complex w;
+ float x, y, d;
+
+ x = crealf(z);
+ y = cimagf(z);
+ d = coshf(2.0f * x) + cosf(2.0f * y);
+ w = sinhf(2.0f * x) / d + (sinf(2.0f * y) / d) * I;
+
+ return w;
+}
# This files are always used.
SRCS+= k_cos.c k_cosf.c k_rem_pio2.c k_rem_pio2f.c k_sin.c k_sinf.c \
k_tan.c k_tanf.c llrint.c llrintf.c llround.c \
- llroundf.c lrint.c lrintf.c lround.c lroundf.c s_trunc.c s_truncf.c w_cabs.c w_cabsf.c \
+ llroundf.c lrint.c lrintf.c lround.c lroundf.c s_trunc.c s_truncf.c \
w_drem.c w_dremf.c w_gamma.c w_gamma_r.c w_gammaf.c w_gammaf_r.c \
w_lgamma.c w_lgammaf.c
e_rem_pio2f.c e_remainder.c e_remainderf.c e_scalb.c e_scalbf.c \
e_sinh.c e_sinhf.c e_sqrt.c e_sqrtf.c \
s_asinh.c s_asinhf.c s_atan.c s_atanf.c s_cbrt.c s_cbrtf.c s_ceil.c \
- s_ceilf.c s_copysign.c s_copysignf.c s_cos.c s_cosf.c s_erf.c \
+ s_ceilf.c s_copysign.c s_copysignf.c s_copysignl.c s_cos.c s_cosf.c s_erf.c \
s_erff.c s_expm1.c s_expm1f.c s_fabsf.c s_fdim.c s_finite.c \
s_finitef.c s_floor.c s_floorf.c s_fmax.c s_fmaxf.c s_fmaxl.c \
s_fmin.c s_fminf.c s_fminl.c s_frexpf.c s_frexpl.c s_ilogb.c \
(d) = sf_u.value; \
} while (0)
+#ifdef _COMPLEX_H
+
+/*
+ * C99 specifies that complex numbers have the same representation as
+ * an array of two elements, where the first element is the real part
+ * and the second element is the imaginary part.
+ */
+typedef union {
+ float complex f;
+ float a[2];
+} float_complex;
+typedef union {
+ double complex f;
+ double a[2];
+} double_complex;
+typedef union {
+ long double complex f;
+ long double a[2];
+} long_double_complex;
+#define REALPART(z) ((z).a[0])
+#define IMAGPART(z) ((z).a[1])
+
+/*
+ * Inline functions that can be used to construct complex values.
+ *
+ * The C99 standard intends x+I*y to be used for this, but x+I*y is
+ * currently unusable in general since gcc introduces many overflow,
+ * underflow, sign and efficiency bugs by rewriting I*y as
+ * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product.
+ * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted
+ * to -0.0+I*0.0.
+ */
+static __inline float complex
+cpackf(float x, float y)
+{
+ float_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+
+static __inline double complex
+cpack(double x, double y)
+{
+ double_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+
+static __inline long double complex
+cpackl(long double x, long double y)
+{
+ long_double_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+
+#endif /* _COMPLEX_H */
+
__BEGIN_DECLS
#pragma GCC visibility push(hidden)
/*-
- * Copyright (c) 2001 The FreeBSD Project.
+ * Copyright (c) 2004 Stefan Farfeleder
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* 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
+ * THIS SOFTWARE IS PROVIDED BY 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL 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)
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
- * $FreeBSD: src/include/complex.h,v 1.1.2.1 2001/11/23 16:16:18 dd Exp $
- * $DragonFly: src/include/complex.h,v 1.3 2003/11/14 01:01:43 dillon Exp $
+ * $FreeBSD$
*/
-#ifndef _COMPLEX_H
-#define _COMPLEX_H
+#include <math.h>
-#ifdef __GNUC__
-#define _Complex __complex__
-#define _Complex_I 1.0fi
-#endif
+#include "fpmath.h"
-#define complex _Complex
-#define I _Complex_I
+long double
+copysignl(long double x, long double y)
+{
+ union IEEEl2bits ux, uy;
-#include <sys/cdefs.h>
-
-__BEGIN_DECLS
-
-double cabs (double complex);
-float cabsf (float complex);
-double cimag (double complex);
-float cimagf (float complex);
-double creal (double complex);
-float crealf (float complex);
-
-__END_DECLS
-
-#ifdef __GNUC__
-#define cimag(z) (__imag__ (z))
-#define cimagf(z) (__imag__ (z))
-#define creal(z) (__real__ (z))
-#define crealf(z) (__real__ (z))
-#endif
-
-#endif /* _COMPLEX_H */
+ ux.e = x;
+ uy.e = y;
+ ux.bits.sign = uy.bits.sign;
+ return (ux.e);
+}
+++ /dev/null
-/*
- * cabs() wrapper for hypot().
- *
- * Written by J.T. Conklin, <jtc@wimsey.com>
- * Placed into the Public Domain, 1994.
- *
- * $NetBSD: w_cabs.c,v 1.4 2001/01/06 00:15:00 christos Exp $
- * $DragonFly: src/lib/libm/src/w_cabs.c,v 1.1 2005/07/26 21:15:20 joerg Exp $
- */
-
-#include <complex.h>
-#include <math.h>
-
-double
-cabs(double complex z)
-{
- return hypot(creal(z), cimag(z));
-}
+++ /dev/null
-/*
- * cabsf() wrapper for hypotf().
- *
- * Written by J.T. Conklin, <jtc@wimsey.com>
- * Placed into the Public Domain, 1994.
- *
- * $NetBSD: w_cabsf.c,v 1.4 2001/01/06 00:15:00 christos Exp $
- * $DragonFly: src/lib/libm/src/w_cabsf.c,v 1.1 2005/07/26 21:15:20 joerg Exp $
- */
-
-#include <complex.h>
-#include <math.h>
-
-float
-cabsf(float complex z)
-{
- return hypot(crealf(z), cimagf(z));
-}
corecode's projects / dragonfly.git / commitdiff