2010-10-18 Marco Atzeri <marco_atzeri@yahoo.it>
* libm/Makefile.am: added complex functions documentation
* libm/libm.texinfo: ditto
* libm/complex/Makefile.am: Ditto
* libm/complex/complex.tex: Ditto
* libm/complex/(cabs.c, cacos.c, cacosh.c, carg.c,
casin.c, casinh.c, catan.c, catanh.c, ccos.c, ccosh.c,
cexp.c, cimag.c, clog.c, conj.c, cpow.c, cproj.c, creal.c,
csin.c, csinh.c, csqrt.c, ctan.c, ctanh.c): Ditto
* libm/Makefile.in: Regenerate
* libm/complex/Makefile.in: Ditto
This commit is contained in:
Jeff Johnston
parent
cf9e79ca7a
commit
bf5300eaee
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@ -1,3 +1,16 @@
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2010-10-18 Marco Atzeri <marco_atzeri@yahoo.it>
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* libm/Makefile.am: added complex functions documentation
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* libm/libm.texinfo: ditto
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* libm/complex/Makefile.am: Ditto
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* libm/complex/complex.tex: Ditto
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* libm/complex/(cabs.c, cacos.c, cacosh.c, carg.c,
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casin.c, casinh.c, catan.c, catanh.c, ccos.c, ccosh.c,
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cexp.c, cimag.c, clog.c, conj.c, cpow.c, cproj.c, creal.c,
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csin.c, csinh.c, csqrt.c, ctan.c, ctanh.c): Ditto
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* libm/Makefile.in: Regenerate
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* libm/complex/Makefile.in: Ditto
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2010-10-14 Craig Howland <howland@LGSInnovations.com>
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* libc/include/math.h: Delete cabs() and cabs() prototypes
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@ -39,7 +39,7 @@ info_TEXINFOS = libm.texinfo
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libm_TEXINFOS = targetdep.tex
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libm.dvi: targetdep.tex math/stmp-def
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libm.dvi: targetdep.tex math/stmp-def complex/stmp-def
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stmp-targetdep: force
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rm -f tmp.texi
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@ -56,6 +56,8 @@ targetdep.tex: stmp-targetdep ; @true
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math/stmp-def: stmp-targetdep ; @true
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complex/stmp-def: stmp-targetdep ; @true
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.PHONY: force
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force:
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@ -861,7 +861,7 @@ uninstall-am: uninstall-dvi-am uninstall-html-am uninstall-info-am \
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$(SUBLIBS):
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libm.dvi: targetdep.tex math/stmp-def
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libm.dvi: targetdep.tex math/stmp-def complex/stmp-def
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stmp-targetdep: force
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rm -f tmp.texi
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@ -878,6 +878,8 @@ targetdep.tex: stmp-targetdep ; @true
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math/stmp-def: stmp-targetdep ; @true
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complex/stmp-def: stmp-targetdep ; @true
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.PHONY: force
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force:
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@ -32,7 +32,12 @@ endif # USE_LIBTOOL
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include $(srcdir)/../../Makefile.shared
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chobj =
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chobj = cabs.def cacos.def cacosh.def carg.def \
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casin.def casinh.def catan.def catanh.def \
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ccos.def ccosh.def cexp.def cimag.def clog.def \
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conj.def cpow.def cproj.def creal.def \
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csin.def csinh.def csqrt.def ctan.def ctanh.def
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SUFFIXES = .def
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@ -264,7 +264,12 @@ libcomplex_la_LDFLAGS = -Xcompiler -nostdlib
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@USE_LIBTOOL_FALSE@noinst_LIBRARIES = lib.a
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@USE_LIBTOOL_FALSE@lib_a_SOURCES = $(src) $(fsrc)
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@USE_LIBTOOL_FALSE@lib_a_CFLAGS = $(AM_CFLAGS)
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chobj =
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chobj = cabs.def cacos.def cacosh.def carg.def \
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casin.def casinh.def catan.def catanh.def \
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ccos.def ccosh.def cexp.def cimag.def clog.def \
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conj.def cpow.def cproj.def creal.def \
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csin.def csinh.def csqrt.def ctan.def ctanh.def
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SUFFIXES = .def
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CHEW = ../../doc/makedoc -f $(srcdir)/../../doc/doc.str
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TARGETDOC = ../tmp.texi
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@ -8,6 +8,40 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<cabs>>, <<cabsf>>---complex absolute-value
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INDEX
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cabs
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INDEX
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cabsf
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ANSI_SYNOPSIS
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#include <complex.h>
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double cabs(double complex <[z]>);
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float cabsf(float complex <[z]>);
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DESCRIPTION
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These functions compute compute the complex absolute value
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(also called norm, modulus, or magnitude) of <[z]>.
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<<cabsf>> is identical to <<cabs>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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The cabs functions return the complex absolute value.
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PORTABILITY
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<<cabs>> and <<cabsf>> are ISO C99
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QUICKREF
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<<cabs>> and <<cabsf>> are ISO C99
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*/
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#include <complex.h>
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#include <math.h>
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@ -32,6 +32,48 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<cacos>>, <<cacosf>>---complex arc cosine
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INDEX
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cacos
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INDEX
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cacosf
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ANSI_SYNOPSIS
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#include <complex.h>
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double complex cacos(double complex <[z]>);
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float complex cacosf(float complex <[z]>);
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DESCRIPTION
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These functions compute the complex arc cosine of <[z]>,
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with branch cuts outside the interval [-1, +1] along the real axis.
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<<cacosf>> is identical to <<cacos>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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@ifnottex
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These functions return the complex arc cosine value, in the range
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of a strip mathematically unbounded along the imaginary axis
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and in the interval [0, pi] along the real axis.
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@end ifnottex
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@tex
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These functions return the complex arc cosine value, in the range
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of a strip mathematically unbounded along the imaginary axis
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and in the interval [<<0>>, $\pi$] along the real axis.
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@end tex
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PORTABILITY
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<<cacos>> and <<cacosf>> are ISO C99
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QUICKREF
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<<cacos>> and <<cacosf>> are ISO C99
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*/
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#include <complex.h>
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#include <math.h>
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@ -32,6 +32,51 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<cacosh>>, <<cacoshf>>---complex arc hyperbolic cosine
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INDEX
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cacosh
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INDEX
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cacoshf
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ANSI_SYNOPSIS
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#include <complex.h>
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double complex cacosh(double complex <[z]>);
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float complex cacoshf(float complex <[z]>);
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DESCRIPTION
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These functions compute the complex arc hyperbolic cosine of <[z]>,
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with a branch cut at values less than 1 along the real axis.
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<<cacoshf>> is identical to <<cacosh>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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@ifnottex
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These functions return the complex arc hyperbolic cosine value,
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in the range of a half-strip of non-negative values along the
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real axis and in the interval [-i * pi, +i * pi] along the
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imaginary axis.
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@end ifnottex
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@tex
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These functions return the complex arc hyperbolic cosine value,
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in the range of a half-strip of non-negative values along the
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real axis and in the interval [$-i\pi$, $+i\pi$] along the
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imaginary axis.
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@end tex
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PORTABILITY
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<<cacosh>> and <<cacoshf>> are ISO C99
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QUICKREF
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<<cacosh>> and <<cacoshf>> are ISO C99
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*/
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#include <complex.h>
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double complex
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@ -8,6 +8,46 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<carg>>, <<cargf>>---argument (phase angle)
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INDEX
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carg
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INDEX
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cargf
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ANSI_SYNOPSIS
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#include <complex.h>
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double carg(double complex <[z]>);
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float cargf(float complex <[z]>);
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DESCRIPTION
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These functions compute the argument (also called phase angle)
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of <[z]>, with a branch cut along the negative real axis.
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<<cargf>> is identical to <<carg>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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@ifnottex
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The carg functions return the value of the argument in the
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interval [-pi, +pi]
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@end ifnottex
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@tex
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The carg functions return the value of the argument in the
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interval [$-\pi$, $+\pi$]
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@end tex
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PORTABILITY
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<<carg>> and <<cargf>> are ISO C99
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QUICKREF
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<<carg>> and <<cargf>> are ISO C99
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*/
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#include <complex.h>
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#include <math.h>
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@ -32,6 +32,49 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<casin>>, <<casinf>>---complex arc sine
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INDEX
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casin
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INDEX
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casinf
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ANSI_SYNOPSIS
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#include <complex.h>
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double complex casin(double complex <[z]>);
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float complex casinf(float complex <[z]>);
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DESCRIPTION
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These functions compute the complex arc sine of <[z]>,
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with branch cuts outside the interval [-1, +1] along the real axis.
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<<casinf>> is identical to <<casin>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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@ifnottex
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These functions return the complex arc sine value, in the range
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of a strip mathematically unbounded along the imaginary axis
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and in the interval [-pi/2, +pi/2] along the real axis.
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@end ifnottex
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@tex
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These functions return the complex arc sine value, in the range
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of a strip mathematically unbounded along the imaginary axis
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and in the interval [$-\pi/2$, $+\pi/2$] along the real axis.
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@end tex
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PORTABILITY
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<<casin>> and <<casinf>> are ISO C99
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QUICKREF
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<<casin>> and <<casinf>> are ISO C99
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*/
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#include <complex.h>
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#include <math.h>
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@ -32,6 +32,59 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
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*/
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/*
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FUNCTION
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<<casinh>>, <<casinhf>>---complex arc hyperbolic sine
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INDEX
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casinh
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INDEX
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casinhf
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ANSI_SYNOPSIS
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#include <complex.h>
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double complex casinh(double complex <[z]>);
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float complex casinhf(float complex <[z]>);
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DESCRIPTION
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@ifnottex
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These functions compute the complex arc hyperbolic sine of <[z]>,
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with branch cuts outside the interval [-i, +i] along the
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imaginary axis.
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@end ifnottex
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@tex
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These functions compute the complex arc hyperbolic sine of <[z]>,
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with branch cuts outside the interval [$-i$, $+i$] along the
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imaginary axis.
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@end tex
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<<casinhf>> is identical to <<casinh>>, except that it performs
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its calculations on <<floats complex>>.
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RETURNS
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@ifnottex
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These functions return the complex arc hyperbolic sine value,
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in the range of a strip mathematically unbounded along the
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real axis and in the interval [-i*p/2, +i*p/2] along the
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imaginary axis.
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@end ifnottex
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@tex
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These functions return the complex arc hyperbolic sine value,
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in the range of a strip mathematically unbounded along the
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real axis and in the interval [$-i\pi/2$, $+i\pi/2$] along the
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imaginary axis.
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@end tex
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PORTABILITY
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<<casinh>> and <<casinhf>> are ISO C99
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QUICKREF
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<<casinh>> and <<casinhf>> are ISO C99
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*/
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#include <complex.h>
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double complex
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|
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@ -32,6 +32,57 @@
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* Marco Atzeri <marco_atzeri@yahoo.it>
|
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*/
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/*
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FUNCTION
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<<catan>>, <<catanf>>---complex arc tangent
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INDEX
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catan
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INDEX
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catanf
|
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|
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ANSI_SYNOPSIS
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#include <complex.h>
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double complex catan(double complex <[z]>);
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float complex catanf(float complex <[z]>);
|
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|
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|
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DESCRIPTION
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@ifnottex
|
||||
These functions compute the complex arc tangent of <[z]>,
|
||||
with branch cuts outside the interval [-i, +i] along the
|
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imaginary axis.
|
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@end ifnottex
|
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@tex
|
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These functions compute the complex arc tangent of <[z]>,
|
||||
with branch cuts outside the interval [$-i$, $+i$] along the
|
||||
imaginary axis.
|
||||
@end tex
|
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|
||||
<<catanf>> is identical to <<catan>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
@ifnottex
|
||||
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.
|
||||
@end ifnottex
|
||||
@tex
|
||||
These functions return the complex arc tangent, in the range
|
||||
of a strip mathematically unbounded along the imaginary axis
|
||||
and in the interval [$-\pi/2$, $+\pi/2$] along the real axis.
|
||||
@end tex
|
||||
|
||||
PORTABILITY
|
||||
<<catan>> and <<catanf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<catan>> and <<catanf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
#include "cephes_subr.h"
|
||||
|
|
|
|||
|
|
@ -32,6 +32,52 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<catanh>>, <<catanhf>>---complex arc hyperbolic tangent
|
||||
|
||||
INDEX
|
||||
catanh
|
||||
INDEX
|
||||
catanhf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex catanh(double complex <[z]>);
|
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float complex catanhf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex arc hyperbolic tan of <[z]>,
|
||||
with branch cuts outside the interval [-1, +1] along the
|
||||
real axis.
|
||||
|
||||
<<catanhf>> is identical to <<catanh>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
@ifnottex
|
||||
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 [-i*p/2, +i*p/2] along the
|
||||
imaginary axis.
|
||||
@end ifnottex
|
||||
@tex
|
||||
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 [$-i\pi/2$, $+i\pi/2$] along the
|
||||
imaginary axis.
|
||||
@end tex
|
||||
|
||||
PORTABILITY
|
||||
<<catanh>> and <<catanhf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<catanh>> and <<catanhf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
|
||||
double complex
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<ccos>>, <<ccosf>>---complex cosine
|
||||
|
||||
INDEX
|
||||
ccos
|
||||
INDEX
|
||||
ccosf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex ccos(double complex <[z]>);
|
||||
float complex ccosf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex cosine of <[z]>.
|
||||
|
||||
<<ccosf>> is identical to <<ccos>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex cosine value.
|
||||
|
||||
PORTABILITY
|
||||
<<ccos>> and <<ccosf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<ccos>> and <<ccosf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
#include "cephes_subr.h"
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<ccosh>>, <<ccoshf>>---complex hyperbolic cosine
|
||||
|
||||
INDEX
|
||||
ccosh
|
||||
INDEX
|
||||
ccoshf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex ccosh(double complex <[z]>);
|
||||
float complex ccoshf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex hyperbolic cosine of <[z]>.
|
||||
|
||||
<<ccoshf>> is identical to <<ccosh>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex hyperbolic cosine value.
|
||||
|
||||
PORTABILITY
|
||||
<<ccosh>> and <<ccoshf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<ccosh>> and <<ccoshf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<cexp>>, <<cexpf>>---complex base-e exponential
|
||||
|
||||
INDEX
|
||||
cexp
|
||||
INDEX
|
||||
cexpf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex cexp(double complex <[z]>);
|
||||
float complex cexpf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex base-<[e]> exponential of <[z]>.
|
||||
|
||||
<<cexpf>> is identical to <<cexp>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The cexp functions return the complex base-<[e]> exponential value.
|
||||
|
||||
PORTABILITY
|
||||
<<cexp>> and <<cexpf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<cexp>> and <<cexpf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -8,6 +8,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<cimag>>, <<cimagf>>---imaginary part
|
||||
|
||||
INDEX
|
||||
cimag
|
||||
INDEX
|
||||
cimagf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double cimag(double complex <[z]>);
|
||||
float cimagf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the imaginary part of <[z]>.
|
||||
|
||||
<<cimagf>> is identical to <<cimag>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The cimag functions return the imaginary part value (as a real).
|
||||
|
||||
PORTABILITY
|
||||
<<cimag>> and <<cimagf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<cimag>> and <<cimagf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include "../common/fdlibm.h"
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,48 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<clog>>, <<clogf>>---complex base-e logarithm
|
||||
|
||||
INDEX
|
||||
clog
|
||||
INDEX
|
||||
clogf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex clog(double complex <[z]>);
|
||||
float complex clogf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex natural (base-<[e]>) logarithm
|
||||
of <[z]>, with a branch cut along the negative real axis.
|
||||
|
||||
<<clogf>> is identical to <<clog>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
@ifnottex
|
||||
The clog functions return the complex natural logarithm value, in
|
||||
the range of a strip mathematically unbounded along the real axis
|
||||
and in the interval [-i*pi , +i*pi] along the imaginary axis.
|
||||
@end ifnottex
|
||||
@tex
|
||||
The clog functions return the complex natural logarithm value, in
|
||||
the range of a strip mathematically unbounded along the real axis
|
||||
and in the interval [$-i\pi$, $+i\pi$] along the imaginary axis.
|
||||
@end tex
|
||||
|
||||
PORTABILITY
|
||||
<<clog>> and <<clogf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<clog>> and <<clogf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -1 +1,55 @@
|
|||
@c empty stub
|
||||
@node Complex
|
||||
@chapter Mathematical Complex Functions (@file{complex.h})
|
||||
|
||||
This chapter groups the complex mathematical functions. The
|
||||
corresponding definitions and declarations are in @file{complex.h}.
|
||||
Functions and documentations are taken from NetBSD.
|
||||
|
||||
@menu
|
||||
* cabs:: Complex absolute value
|
||||
* cacos:: Complex arc cosine
|
||||
* cacosh:: Complex arc hyperbolic cosine
|
||||
* carg:: Argument (also called phase angle)
|
||||
* casin:: Complex arc sine
|
||||
* casinh:: Complex arc hyperbolic sine
|
||||
* catan:: Complex arc tangent
|
||||
* catanh:: Complex arc hyperbolic tangent
|
||||
* ccos:: Complex cosine
|
||||
* ccosh:: Complex hyperbolic cosine
|
||||
* cexp:: Complex exponent
|
||||
* cimag:: Imaginary part
|
||||
* clog:: Complex natural (base e) logarithm
|
||||
* conj:: Complex conjugate
|
||||
* cpow:: Complex power function
|
||||
* cproj:: Compute a projection on the Riemann sphere
|
||||
* creal:: Real part
|
||||
* csin:: Complex sine
|
||||
* csinh:: Complex hyperbolic sine
|
||||
* csqrt:: Complex square root
|
||||
* ctan:: Complex tangent
|
||||
* ctanh:: Complex hyperbolic tangent
|
||||
@end menu
|
||||
|
||||
|
||||
@page @include complex/cabs.def
|
||||
@page @include complex/cacos.def
|
||||
@page @include complex/cacosh.def
|
||||
@page @include complex/carg.def
|
||||
@page @include complex/casin.def
|
||||
@page @include complex/casinh.def
|
||||
@page @include complex/catan.def
|
||||
@page @include complex/catanh.def
|
||||
@page @include complex/ccos.def
|
||||
@page @include complex/ccosh.def
|
||||
@page @include complex/cexp.def
|
||||
@page @include complex/cimag.def
|
||||
@page @include complex/clog.def
|
||||
@page @include complex/conj.def
|
||||
@page @include complex/cpow.def
|
||||
@page @include complex/cproj.def
|
||||
@page @include complex/creal.def
|
||||
@page @include complex/csin.def
|
||||
@page @include complex/csinh.def
|
||||
@page @include complex/csqrt.def
|
||||
@page @include complex/ctan.def
|
||||
@page @include complex/ctanh.def
|
||||
|
|
|
|||
|
|
@ -8,6 +8,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<conj>>, <<conjf>>---complex conjugate
|
||||
|
||||
INDEX
|
||||
conj
|
||||
INDEX
|
||||
conjf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex conj(double complex <[z]>);
|
||||
float complex conjf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex conjugate of <[z]>,
|
||||
by reversing the sign of its imaginary part.
|
||||
|
||||
<<conjf>> is identical to <<conj>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The conj functions return the complex conjugate value.
|
||||
|
||||
PORTABILITY
|
||||
<<conj>> and <<conjf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<conj>> and <<conjf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
#include <complex.h>
|
||||
#include "../common/fdlibm.h"
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,48 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<cpow>>, <<cpowf>>---complex power
|
||||
|
||||
INDEX
|
||||
cpow
|
||||
INDEX
|
||||
cpowf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex cpow(double complex <[x]>, double complex <[y]>);
|
||||
float complex cpowf(float complex <[x]>, float complex <[y]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
@ifnottex
|
||||
The cpow functions compute the complex power function x^y
|
||||
power, with a branch cut for the first parameter along the
|
||||
negative real axis.
|
||||
@end ifnottex
|
||||
@tex
|
||||
The cpow functions compute the complex power function $x^y$
|
||||
power, with a branch cut for the first parameter along the
|
||||
negative real axis.
|
||||
@end tex
|
||||
|
||||
<<cpowf>> is identical to <<cpow>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The cpow functions return the complex power function value.
|
||||
|
||||
PORTABILITY
|
||||
<<cpow>> and <<cpowf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<cpow>> and <<cpowf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -29,6 +29,45 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<cproj>>, <<cprojf>>--- Riemann sphere projection
|
||||
|
||||
INDEX
|
||||
cproj
|
||||
INDEX
|
||||
cprojf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex cproj(double complex <[z]>);
|
||||
float complex cprojf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute a projection of <[z]> onto the Riemann
|
||||
sphere: <[z]> projects to <[z]> except that all complex infinities
|
||||
(even those with one infinite part and one NaN part) project
|
||||
to positive infinity on the real axis. If <[z]> has an infinite part,
|
||||
then <<cproj>>(<[z]>) is equivalent to
|
||||
|
||||
INFINITY + I * copysign(0.0, cimag(z))
|
||||
|
||||
<<cprojf>> is identical to <<cproj>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The cproj functions return the value of the projection onto
|
||||
the Riemann sphere.
|
||||
|
||||
PORTABILITY
|
||||
<<cproj>> and <<cprojf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<cproj>> and <<cprojf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
#include <sys/cdefs.h>
|
||||
/*__RCSID("$NetBSD: cproj.c,v 1.3 2010/09/20 17:51:38 christos Exp $"); */
|
||||
|
||||
|
|
|
|||
|
|
@ -8,6 +8,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<creal>>, <<crealf>>---real part
|
||||
|
||||
INDEX
|
||||
creal
|
||||
INDEX
|
||||
crealf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double creal(double complex <[z]>);
|
||||
float crealf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the real part of <[z]>.
|
||||
|
||||
<<crealf>> is identical to <<creal>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The creal functions return the real part value.
|
||||
|
||||
PORTABILITY
|
||||
<<creal>> and <<crealf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<creal>> and <<crealf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include "../common/fdlibm.h"
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<csin>>, <<csinf>>---complex sine
|
||||
|
||||
INDEX
|
||||
csin
|
||||
INDEX
|
||||
csinf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex csin(double complex <[z]>);
|
||||
float complex csinf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex sine of <[z]>.
|
||||
|
||||
<<csinf>> is identical to <<csin>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex sine value.
|
||||
|
||||
PORTABILITY
|
||||
<<csin>> and <<csinf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<csin>> and <<csinf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
#include "cephes_subr.h"
|
||||
|
|
|
|||
|
|
@ -32,6 +32,38 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<csinh>>, <<csinhf>>---complex hyperbolic sine
|
||||
|
||||
INDEX
|
||||
csinh
|
||||
INDEX
|
||||
csinhf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex csinh(double complex <[z]>);
|
||||
float complex csinhf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex hyperbolic sine of <[z]>.
|
||||
|
||||
<<ccoshf>> is identical to <<ccosh>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex hyperbolic sine value.
|
||||
|
||||
PORTABILITY
|
||||
<<csinh>> and <<csinhf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<csinh>> and <<csinhf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,41 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<csqrt>>, <<csqrtf>>---complex square root
|
||||
|
||||
INDEX
|
||||
csqrt
|
||||
INDEX
|
||||
csqrtf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex csqrt(double complex <[z]>);
|
||||
float complex csqrtf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex square root of <[z]>, with
|
||||
a branch cut along the negative real axis.
|
||||
|
||||
<<csqrtf>> is identical to <<csqrt>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
The csqrt functions return the complex square root value, in
|
||||
the range of the right halfplane (including the imaginary axis).
|
||||
|
||||
PORTABILITY
|
||||
<<csqrt>> and <<csqrtf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<csqrt>> and <<csqrtf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<ctan>>, <<ctanf>>---complex tangent
|
||||
|
||||
INDEX
|
||||
ctan
|
||||
INDEX
|
||||
ctanf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex ctan(double complex <[z]>);
|
||||
float complex ctanf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex tangent of <[z]>.
|
||||
|
||||
<<ctanf>> is identical to <<ctan>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex tangent value.
|
||||
|
||||
PORTABILITY
|
||||
<<ctan>> and <<ctanf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<ctan>> and <<ctanf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
#include "cephes_subr.h"
|
||||
|
|
|
|||
|
|
@ -32,6 +32,39 @@
|
|||
* Marco Atzeri <marco_atzeri@yahoo.it>
|
||||
*/
|
||||
|
||||
/*
|
||||
FUNCTION
|
||||
<<ctanh>>, <<ctanf>>---complex hyperbolic tangent
|
||||
|
||||
INDEX
|
||||
ctanh
|
||||
INDEX
|
||||
ctanhf
|
||||
|
||||
ANSI_SYNOPSIS
|
||||
#include <complex.h>
|
||||
double complex ctanh(double complex <[z]>);
|
||||
float complex ctanhf(float complex <[z]>);
|
||||
|
||||
|
||||
DESCRIPTION
|
||||
These functions compute the complex hyperbolic tangent of <[z]>.
|
||||
|
||||
<<ctanhf>> is identical to <<ctanh>>, except that it performs
|
||||
its calculations on <<floats complex>>.
|
||||
|
||||
RETURNS
|
||||
These functions return the complex hyperbolic tangent value.
|
||||
|
||||
PORTABILITY
|
||||
<<ctanh>> and <<ctanhf>> are ISO C99
|
||||
|
||||
QUICKREF
|
||||
<<ctanh>> and <<ctanhf>> are ISO C99
|
||||
|
||||
*/
|
||||
|
||||
|
||||
#include <complex.h>
|
||||
#include <math.h>
|
||||
|
||||
|
|
|
|||
|
|
@ -93,6 +93,7 @@ into another language, under the above conditions for modified versions.
|
|||
|
||||
@menu
|
||||
* Math:: The mathematical functions (`math.h').
|
||||
* Complex:: The mathematical complex functions (`complex.h').
|
||||
* Reentrancy:: The functions in libm are not reentrant by default.
|
||||
* Long Double Functions:: The long double function support of libm.
|
||||
* Index::
|
||||
|
|
|
|||
Loading…
Reference in New Issue