* mingwex/complex/(cabsl.c cacosl.c cacoshl.c cargl.c casinl.c
casinhl.c catanl.c catanhl.c ccosl.c ccoshl.c cexpl.c cimagl.c clogl.c cpowl.c cprojl.c creall.c csinl.c csinhl.c csqrtl.c ctanl.c ctanhl.c): New files. * mingwex/Makefile.in (COMPLEX_DISTFILES): Adjust. (COMPLEX_OBJS): Adjust. * include/complex.h (cabsl, cacosl, cacoshl, cargl, casinf. casinhl, catanl, catanhl, ccosl, ccoshl, cexpl, cimagl, clogl, cpowl, cprojl, creall, csinl, csinhl, csqrtl, ctanl, ctanhl): Declare.
This commit is contained in:
parent
76eb619239
commit
4073a59300
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@ -1,3 +1,16 @@
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2005-01-10 Danny Smith <dannysmith@users.sourceforge.net>
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* mingwex/complex/(cabsl.c cacosl.c cacoshl.c cargl.c casinl.c
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casinhl.c catanl.c catanhl.c ccosl.c ccoshl.c cexpl.c cimagl.c
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clogl.c cpowl.c cprojl.c creall.c csinl.c csinhl.c csqrtl.c
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ctanl.c ctanhl.c): New files.
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* mingwex/Makefile.in (COMPLEX_DISTFILES): Adjust.
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(COMPLEX_OBJS): Adjust.
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* include/complex.h (cabsl, cacosl, cacoshl, cargl, casinf.
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casinhl, catanl, catanhl, ccosl, ccoshl, cexpl, cimagl, clogl,
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cpowl, cprojl, creall, csinl, csinhl, csqrtl, ctanl, ctanhl):
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Declare.
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2005-01-06 Danny Smith <dannysmith@users.sourceforge.net>
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* include/_mingw.h (__int16): Define as short.
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@ -23,7 +36,7 @@
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clogf.c cpowf.c cprojf.c crealf.c csinf.c csinhf.c csqrtf.c
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ctanf.c ctanhf.c): New files.
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* mingwex/Makefile.in (COMPLEX_DISTFILES): Adjust.
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(COMPLEX_OBJS(: Adjust.
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(COMPLEX_OBJS): Adjust.
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* include/complex.h (cabsf, cacosf, cacoshf, cargf, casinf.
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casinhf, catanf, catanhf, ccosf, ccoshf, cexpf, cimagf, clogf,
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cpowf, cprojf, crealf, csinf, csinhf, csqrtf, ctanf, ctanhf):
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@ -46,7 +46,6 @@ extern "C" {
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#ifndef RC_INVOKED
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/* TODO: long double versions */
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double __MINGW_ATTRIB_CONST creal (double _Complex);
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double __MINGW_ATTRIB_CONST cimag (double _Complex);
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double __MINGW_ATTRIB_CONST carg (double _Complex);
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@ -93,8 +92,32 @@ float _Complex cpowf (float _Complex, float _Complex);
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float _Complex csqrtf (float _Complex);
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float _Complex __MINGW_ATTRIB_CONST cprojf (float _Complex);
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long double __MINGW_ATTRIB_CONST creall (long double _Complex);
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long double __MINGW_ATTRIB_CONST cimagl (long double _Complex);
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long double __MINGW_ATTRIB_CONST cargl (long double _Complex);
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long double __MINGW_ATTRIB_CONST cabsl (long double _Complex);
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long double _Complex __MINGW_ATTRIB_CONST conjl (long double _Complex);
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long double _Complex cacosl (long double _Complex);
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long double _Complex casinl (long double _Complex);
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long double _Complex catanl (long double _Complex);
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long double _Complex ccosl (long double _Complex);
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long double _Complex csinl (long double _Complex);
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long double _Complex ctanl (long double _Complex);
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long double _Complex cacoshl (long double _Complex);
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long double _Complex casinhl (long double _Complex);
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long double _Complex catanhl (long double _Complex);
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long double _Complex ccoshl (long double _Complex);
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long double _Complex csinhl (long double _Complex);
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long double _Complex ctanhl (long double _Complex);
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long double _Complex cexpl (long double _Complex);
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long double _Complex clogl (long double _Complex);
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long double _Complex cpowl (long double _Complex, long double _Complex);
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long double _Complex csqrtl (long double _Complex);
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long double _Complex __MINGW_ATTRIB_CONST cprojl (long double _Complex);
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#ifdef __GNUC__
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/* double */
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__CRT_INLINE double __MINGW_ATTRIB_CONST creal (double _Complex _Z)
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{
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return __real__ _Z;
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@ -119,6 +142,7 @@ __CRT_INLINE double __MINGW_ATTRIB_CONST carg (double _Complex _Z)
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}
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/* float */
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__CRT_INLINE float __MINGW_ATTRIB_CONST crealf (float _Complex _Z)
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{
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return __real__ _Z;
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@ -141,6 +165,31 @@ __CRT_INLINE float __MINGW_ATTRIB_CONST cargf (float _Complex _Z)
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: "=t" (res) : "0" (__real__ _Z), "u" (__imag__ _Z) : "st(1)");
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return res;
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}
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/* long double */
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__CRT_INLINE long double __MINGW_ATTRIB_CONST creall (long double _Complex _Z)
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{
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return __real__ _Z;
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}
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__CRT_INLINE long double __MINGW_ATTRIB_CONST cimagl (long double _Complex _Z)
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{
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return __imag__ _Z;
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}
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__CRT_INLINE long double _Complex __MINGW_ATTRIB_CONST conjl (long double _Complex _Z)
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{
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return __extension__ ~_Z;
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}
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__CRT_INLINE long double __MINGW_ATTRIB_CONST cargl (long double _Complex _Z)
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{
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long double res;
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__asm__ ("fpatan;"
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: "=t" (res) : "0" (__real__ _Z), "u" (__imag__ _Z) : "st(1)");
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return res;
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}
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#endif /* __GNUC__ */
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@ -70,12 +70,15 @@ STDIO_DISTFILES = \
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vfscanf.c vfwscanf.c vscanf.c vsscanf.c vswscanf.c vwscanf.c
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COMPLEX_DISTFILES = \
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cabs.c cabsf.c cacos.c cacosf.c cacosh.c cacoshf.c carg.c \
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cargf.c casin.c casinf.c casinh.c casinhf.c catan.c catanf.c \
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catanh.c catanhf.c ccos.c ccosf.c ccosh.c ccoshf.c cexp.c \
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cexpf.c cimag.c cimagf.c clog.c clogf.c cpow.c cpowf.c cproj.c \
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cprojf.c creal.c crealf.c csin.c csinf.c csinh.c csinhf.c \
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csqrt.c csqrtf.c ctan.c ctanf.c ctanh.c ctanhf.c
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cabs.c cabsf.c cabsl.c cacos.c cacosf.c cacosl.c cacosh.c \
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cacoshf.c cacoshl.c carg.c cargf.c cargl.c casin.c casinf.c \
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casinl.c casinh.c casinhf.c casinhl.c catan.c catanf.c catanl.c \
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catanh.c catanhf.c catanhl.c ccos.c ccosf.c ccosl.c ccosh.c \
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ccoshf.c ccoshl.c cexp.c cexpf.c cexpl.c cimag.c cimagf.c \
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cimagl.c clog.c clogf.c clogl.c cpow.c cpowf.c cpowl.c cproj.c \
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cprojf.c cprojl.c creal.c crealf.c creall.c csin.c csinf.c \
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csinl.c csinh.c csinhf.c csinhl.c csqrt.c csqrtf.c csqrtl.c \
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ctan.c ctanf.c ctanl.c ctanh.c ctanhf.c ctanhl.c
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CC = @CC@
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# FIXME: Which is it, CC or CC_FOR_TARGET?
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@ -159,12 +162,15 @@ POSIX_OBJS = \
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REPLACE_OBJS = \
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mingw-aligned-malloc.o mingw-fseek.o
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COMPLEX_OBJS = \
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cabs.o cabsf.o cacos.o cacosf.o cacosh.o cacoshf.o carg.o \
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cargf.o casin.o casinf.o casinh.o casinhf.o catan.o catanf.o \
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catanh.o catanhf.o ccos.o ccosf.o ccosh.o ccoshf.o cexp.o \
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cexpf.o cimag.o cimagf.o clog.o clogf.o cpow.o cpowf.o cproj.o \
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cprojf.o creal.o crealf.o csin.o csinf.o csinh.o csinhf.o \
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csqrt.o csqrtf.o ctan.o ctanf.o ctanh.o ctanhf.o
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cabs.o cabsf.o cabsl.o cacos.o cacosf.o cacosl.o cacosh.o \
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cacoshf.o cacoshl.o carg.o cargf.o cargl.o casin.o casinf.o \
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casinl.o casinh.o casinhf.o casinhl.o catan.o catanf.o catanl.o \
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catanh.o catanhf.o catanhl.o ccos.o ccosf.o ccosl.o ccosh.o \
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ccoshf.o ccoshl.o cexp.o cexpf.o cexpl.o cimag.o cimagf.o \
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cimagl.o clog.o clogf.o clogl.o cpow.o cpowf.o cpowl.o cproj.o \
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cprojf.o cprojl.o creal.o crealf.o creall.o csin.o csinf.o \
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csinl.o csinh.o csinhf.o csinhl.o csqrt.o csqrtf.o csqrtl.o \
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ctan.o ctanf.o ctanl.o ctanh.o ctanhf.o ctanhl.o
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LIB_OBJS = $(Q8_OBJS) $(STDLIB_OBJS) $(STDLIB_STUB_OBJS) \
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$(STDIO_OBJS) $(MATH_OBJS) $(FENV_OBJS) \
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@ -0,0 +1,7 @@
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#include <math.h>
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#include <complex.h>
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long double cabsl (long double complex Z)
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{
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return hypotl ( __real__ Z, __imag__ Z);
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}
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@ -0,0 +1,39 @@
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/*
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cacoshl.c
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Contributed by Danny Smith
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2005-01-04
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*/
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#include <math.h>
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#include <complex.h>
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#if 0
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/* cacosh (z) = I * cacos (z) */
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long double complex cacoshl (long double complex Z)
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{
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long double complex Tmp;
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long double complex Res;
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Tmp = cacosl (Z);
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__real__ Res = -__imag__ Tmp;
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__imag__ Res = __real__ Tmp;
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return Res;
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}
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#else
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/* cacosh (z) = I * cacos (z) = I * (pi/2 - casin (z)) */
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#ifndef _M_PI_2L
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#define _M_PI_2L 1.5707963267948966192313L
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#endif
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long double complex cacoshl (long double complex Z)
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{
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long double complex Tmp;
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long double complex Res;
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Tmp = casinl (Z);
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__real__ Res = __imag__ Tmp;
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__imag__ Res = _M_PI_2L - __real__ Tmp;
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return Res;
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}
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#endif
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@ -0,0 +1,66 @@
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/*
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cacosl.c
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Contributed by Danny Smith
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2004-01-04
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*/
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#include <math.h>
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#include <complex.h>
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#if 0
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/* cacos (Z) = -I * clog(Z + I * csqrt(1 - Z * Z)) */
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long double complex cacosl (long double complex Z)
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{
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long double complex Res;
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long double x, y;
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x = __real__ Z;
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y = __imag__ Z;
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if (y == 0.0L)
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{
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__real__ Res = acosl (x);
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__imag__ Res = 0.0L;
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}
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else
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{
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long double complex ZZ;
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/* Z * Z = ((x - y) * (x + y)) + (2.0 * x * y) * I */
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/* caculate 1 - Z * Z */
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__real__ ZZ = 1.0L - (x - y) * (x + y);
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__imag__ ZZ = -2.0L * x * y;
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Res = csqrtl(ZZ);
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/* calculate ZZ + I * sqrt (ZZ) */
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__real__ ZZ = x - __imag__ Res;
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__imag__ ZZ = y + __real__ Res;
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ZZ = clogl(ZZ);
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/* mult by -I */
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__real__ Res = __imag__ ZZ;
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__imag__ Res = - __real__ ZZ;
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}
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return Res;
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}
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#else
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/* cacos ( Z ) = pi/2 - casin ( Z ) */
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#ifndef _M_PI_2L
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#define _M_PI_2L 1.5707963267948966192313L
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#endif
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long double complex cacosl (long double complex Z)
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{
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long double complex Res = casinl (Z);
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__real__ Res = _M_PI_2L - __real__ Res;
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__imag__ Res = - __imag__ Res;
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return Res;
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}
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#endif
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@ -0,0 +1,8 @@
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#include <complex.h>
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long double __attribute__ ((const)) cargl (long double _Complex _Z)
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{
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long double res;
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__asm__ ("fpatan;"
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: "=t" (res) : "0" (__real__ _Z), "u" (__imag__ _Z) : "st(1)");
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return res;
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}
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@ -0,0 +1,23 @@
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/*
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casinhl.c
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Contributed by Danny Smith
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2005-01-04
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*/
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#include <math.h>
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#include <complex.h>
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/* casinh (z) = -I casin (I * z) */
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long double complex casinhl (long double complex Z)
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{
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long double complex Tmp;
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long double complex Res;
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__real__ Tmp = - __imag__ Z;
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__imag__ Tmp = __real__ Z;
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Tmp = casinl (Tmp);
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__real__ Res = __imag__ Tmp;
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__imag__ Res = - __real__ Tmp;
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return Res;
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}
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@ -0,0 +1,48 @@
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/*
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casinl.c
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Contributed by Danny Smith
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2005-01-04
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*/
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#include <math.h>
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#include <complex.h>
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/* casin (Z ) = -I * clog(I * Z + csqrt (1.0 - Z * Z))) */
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long double complex casinl (long double complex Z)
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{
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long double complex Res;
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long double x, y;
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x = __real__ Z;
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y = __imag__ Z;
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if (y == 0.0L)
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{
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__real__ Res = asinl (x);
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__imag__ Res = 0.0L;
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}
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else /* -I * clog(I * Z + csqrt(1.0 - Z * Z))) */
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{
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long double complex ZZ;
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/* Z * Z = ((x - y) * (x + y)) + (2.0 * x * y) * I */
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/* calculate 1 - Z * Z */
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__real__ ZZ = 1.0L - (x - y) * (x + y);
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__imag__ ZZ = -2.0L * x * y;
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ZZ = csqrtl (ZZ);
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/* add I * Z to ZZ */
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__real__ ZZ -= y;
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__imag__ ZZ += x;
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ZZ = clogl (ZZ);
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/* mult by -I */
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__real__ Res = __imag__ ZZ;
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__imag__ Res = - __real__ ZZ;
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}
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return (Res);
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}
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@ -0,0 +1,23 @@
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/* catanhl.c */
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/*
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Contributed by Danny Smith
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2005-01-04
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*/
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#include <math.h>
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#include <complex.h>
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/* catanh (z) = -I * catan (I * z) */
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long double complex catanhl (long double complex Z)
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{
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long double complex Tmp;
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long double complex Res;
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__real__ Tmp = - __imag__ Z;
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__imag__ Tmp = __real__ Z;
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Tmp = catanl (Tmp);
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__real__ Res = __imag__ Tmp;
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__imag__ Res = - __real__ Tmp;
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return Res;
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}
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@ -0,0 +1,53 @@
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/* catanl.c */
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/*
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Contributed by Danny Smith
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2005-01-04
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FIXME: This needs some serious numerical analysis.
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*/
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#include <math.h>
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#include <complex.h>
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#include <errno.h>
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/* catan (z) = -I/2 * clog ((I + z) / (I - z)) */
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#ifndef _M_PI_2L
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#define _M_PI_2L 1.5707963267948966192313L
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#endif
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long double complex
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catanl (long double complex Z)
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{
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long double complex Res;
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long double complex Tmp;
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long double x = __real__ Z;
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long double y = __imag__ Z;
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if ( x == 0.0L && (1.0L - fabsl (y)) == 0.0L)
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{
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errno = ERANGE;
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__real__ Res = HUGE_VALL;
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__imag__ Res = HUGE_VALL;
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||||
}
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else if (isinf (hypotl (x, y)))
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{
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__real__ Res = (x > 0 ? _M_PI_2L : -_M_PI_2L);
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__imag__ Res = 0.0L;
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}
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else
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{
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__real__ Tmp = - x;
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__imag__ Tmp = 1.0L - y;
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__real__ Res = x;
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__imag__ Res = y + 1.0L;
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Tmp = clogl (Res/Tmp);
|
||||
__real__ Res = - 0.5L * __imag__ Tmp;
|
||||
__imag__ Res = 0.5L * __real__ Tmp;
|
||||
}
|
||||
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,19 @@
|
|||
/*
|
||||
ccoshl.c
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* ccosh (x + I * y) = cosh (x) * cos (y)
|
||||
+ I * (sinh (x) * sin (y)) */
|
||||
|
||||
long double complex ccoshl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
__real__ Res = coshl (__real__ Z) * cosl (__imag__ Z);
|
||||
__imag__ Res = sinhl (__real__ Z) * sinl (__imag__ Z);
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,20 @@
|
|||
/*
|
||||
ccosl.c
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* ccos (x + I * y) = cos (x) * cosh (y)
|
||||
+ I * (sin (x) * sinh (y)) */
|
||||
|
||||
|
||||
long double complex ccosl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
__real__ Res = cosl (__real__ Z) * coshl ( __imag__ Z);
|
||||
__imag__ Res = -sinl (__real__ Z) * sinhl ( __imag__ Z);
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,19 @@
|
|||
/*
|
||||
cexpl.c
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* cexp (x + I * y) = exp (x) * cos (y) + I * exp (x) * sin (y) */
|
||||
|
||||
long double complex cexpl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
long double rho = expl (__real__ Z);
|
||||
__real__ Res = rho * cosl(__imag__ Z);
|
||||
__imag__ Res = rho * sinl(__imag__ Z);
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,5 @@
|
|||
#include <complex.h>
|
||||
long double __attribute__ ((const)) cimagl (long double complex _Z)
|
||||
{
|
||||
return __imag__ _Z;
|
||||
}
|
|
@ -0,0 +1,19 @@
|
|||
/*
|
||||
clogl.c
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
/* clog (x + I * y) = log (hypot (x, y)) + I * atan2 (y, x) */
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
long double complex clogl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
__real__ Res = logl (hypotl (__real__ Z, __imag__ Z));
|
||||
__imag__ Res = cargl (Z);
|
||||
return Res;
|
||||
}
|
||||
|
|
@ -0,0 +1,43 @@
|
|||
/* cpowl.c */
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
/* cpow(X, Y) = cexp(X * clog(Y)) */
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
long double complex cpowl (long double complex X, long double complex Y)
|
||||
{
|
||||
long double complex Res;
|
||||
long double i;
|
||||
long double r = hypotl (__real__ X, __imag__ X);
|
||||
if (r == 0.0L)
|
||||
{
|
||||
__real__ Res = __imag__ Res = 0.0L;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double rho;
|
||||
long double theta;
|
||||
i = cargl (X);
|
||||
theta = i * __real__ Y;
|
||||
|
||||
if (__imag__ Y == 0.0L)
|
||||
/* This gives slightly more accurate results in these cases. */
|
||||
rho = powl (r, __real__ Y);
|
||||
else
|
||||
{
|
||||
r = logl (r);
|
||||
/* rearrangement of cexp(X * clog(Y)) */
|
||||
theta += r * __imag__ Y;
|
||||
rho = expl (r * __real__ Y - i * __imag__ Y);
|
||||
}
|
||||
|
||||
__real__ Res = rho * cosl (theta);
|
||||
__imag__ Res = rho * sinl (theta);
|
||||
}
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,22 @@
|
|||
/*
|
||||
cprojl.c
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* Return the value of the projection onto the Riemann sphere.*/
|
||||
|
||||
long double complex cprojl (long double complex Z)
|
||||
{
|
||||
complex long double Res = Z;
|
||||
if (isinf (__real__ Z) || isinf (__imag__ Z))
|
||||
{
|
||||
__real__ Res = HUGE_VALL;
|
||||
__imag__ Res = copysignl (0.0L, __imag__ Z);
|
||||
}
|
||||
return Res;
|
||||
}
|
||||
|
|
@ -0,0 +1,5 @@
|
|||
#include <complex.h>
|
||||
long double __attribute__ ((const)) creall (long double complex _Z)
|
||||
{
|
||||
return __real__ _Z;
|
||||
}
|
|
@ -0,0 +1,20 @@
|
|||
/* csinhl.c */
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* csinh (x + I * y) = sinh (x) * cos (y)
|
||||
+ I * (cosh (x) * sin (y)) */
|
||||
|
||||
|
||||
long double complex csinhl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
__real__ Res = sinhl (__real__ Z) * cosl (__imag__ Z);
|
||||
__imag__ Res = coshl (__real__ Z) * sinl (__imag__ Z);
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,21 @@
|
|||
/* csinl.c */
|
||||
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
/* csin (x + I * y) = sin (x) * cosh (y)
|
||||
+ I * (cos (x) * sinh (y)) */
|
||||
|
||||
long double complex csinl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
__real__ Res = sinl (__real__ Z) * coshl ( __imag__ Z);
|
||||
__imag__ Res = cosl (__real__ Z) * sinhl ( __imag__ Z);
|
||||
return Res;
|
||||
}
|
||||
|
|
@ -0,0 +1,55 @@
|
|||
/* csqrtl.c */
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
|
||||
long double complex csqrtl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
long double r;
|
||||
long double x = __real__ Z;
|
||||
long double y = __imag__ Z;
|
||||
|
||||
if (y == 0.0L)
|
||||
{
|
||||
if (x < 0.0L)
|
||||
{
|
||||
__real__ Res = 0.0L;
|
||||
__imag__ Res = sqrtl (-x);
|
||||
}
|
||||
else
|
||||
{
|
||||
__real__ Res = sqrtl (x);
|
||||
__imag__ Res = 0.0L;
|
||||
}
|
||||
}
|
||||
|
||||
else if (x == 0.0L)
|
||||
{
|
||||
r = sqrtl(0.5L * fabsl (y));
|
||||
__real__ Res = y > 0 ? r : -r;
|
||||
__imag__ Res = r;
|
||||
}
|
||||
|
||||
else
|
||||
{
|
||||
long double t = sqrtl (2.0L * (hypotl (__real__ Z, __imag__ Z) + fabsl (x)));
|
||||
long double u = t / 2.0L;
|
||||
if ( x > 0.0L)
|
||||
{
|
||||
__real__ Res = u;
|
||||
__imag__ Res = y / t;
|
||||
}
|
||||
else
|
||||
{
|
||||
__real__ Res = fabsl (y / t);
|
||||
__imag__ Res = y < 0 ? -u : u;
|
||||
}
|
||||
}
|
||||
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,44 @@
|
|||
/* ctanhl.c */
|
||||
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
#include <errno.h>
|
||||
|
||||
/*
|
||||
ctanh (x + I * y) = (sinh (2 * x) + sin (2 * y) * I )
|
||||
/ (cosh (2 * x) + cos (2 * y)) .
|
||||
*/
|
||||
|
||||
long double complex
|
||||
ctanhl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
long double two_R = 2.0L * __real__ Z;
|
||||
long double two_I = 2.0L * __imag__ Z;
|
||||
long double denom = coshl (two_R) + cosl (two_I);
|
||||
|
||||
if (denom == 0.0L)
|
||||
{
|
||||
errno = ERANGE;
|
||||
__real__ Res = HUGE_VALL;
|
||||
__imag__ Res = HUGE_VALL;
|
||||
}
|
||||
else if (isinf (denom))
|
||||
{
|
||||
errno = ERANGE;
|
||||
__real__ Res = two_R > 0 ? 1.0L : -1.0L;
|
||||
__imag__ Res = 0.0L;
|
||||
}
|
||||
else
|
||||
{
|
||||
__real__ Res = sinhl (two_R) / denom;
|
||||
__imag__ Res = sinl (two_I) / denom;
|
||||
}
|
||||
return Res;
|
||||
}
|
|
@ -0,0 +1,41 @@
|
|||
/* ctanl.c */
|
||||
|
||||
/*
|
||||
Contributed by Danny Smith
|
||||
2005-01-04
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <complex.h>
|
||||
#include <errno.h>
|
||||
|
||||
|
||||
/* ctan (x + I * y) = (sin (2 * x) + I * sinh(2 * y))
|
||||
/ (cos (2 * x) + cosh (2 * y)) */
|
||||
|
||||
long double complex ctanl (long double complex Z)
|
||||
{
|
||||
long double complex Res;
|
||||
long double two_I = 2.0L * __imag__ Z;
|
||||
long double two_R = 2.0L * __real__ Z;
|
||||
long double denom = cosl (two_R) + coshl (two_I);
|
||||
if (denom == 0.0L)
|
||||
{
|
||||
errno = ERANGE;
|
||||
__real__ Res = HUGE_VALL;
|
||||
__imag__ Res = HUGE_VALL;
|
||||
}
|
||||
else if (isinf (denom))
|
||||
{
|
||||
errno = ERANGE;
|
||||
__real__ Res = 0.0;
|
||||
__imag__ Res = two_I > 0 ? 1.0L : -1.0L;
|
||||
}
|
||||
else
|
||||
{
|
||||
__real__ Res = sinl (two_R) / denom;
|
||||
__imag__ Res = sinhl (two_I) / denom;
|
||||
}
|
||||
return Res;
|
||||
}
|
||||
|
Loading…
Reference in New Issue