This file is part of the GNU Fortran 95 runtime library (libgfortran).
Libgfortran is free software; you can redistribute it and/or
-modify it under the terms of the GNU Lesser General Public
+modify it under the terms of the GNU General Public
License as published by the Free Software Foundation; either
-version 2.1 of the License, or (at your option) any later version.
+version 2 of the License, or (at your option) any later version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file. (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
Libgfortran is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-GNU Lesser General Public License for more details.
+GNU General Public License for more details.
-You should have received a copy of the GNU Lesser General Public
-License along with libgfortran; see the file COPYING.LIB. If not,
-write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
-Boston, MA 02111-1307, USA. */
+You should have received a copy of the GNU General Public
+License along with libgfortran; see the file COPYING. If not,
+write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+Boston, MA 02110-1301, USA. */
#include "config.h"
#include <sys/types.h>
+#include <float.h>
#include <math.h>
+
+#define C99_PROTOS_H WE_DONT_WANT_PROTOS_NOW
#include "libgfortran.h"
-/* Note that if HAVE_FPCLASSIFY is not defined, then NaN is not handled */
+#ifndef HAVE_ACOSF
+#define HAVE_ACOSF
+float
+acosf(float x)
+{
+ return (float) acos(x);
+}
+#endif
+
+#ifndef HAVE_ASINF
+#define HAVE_ASINF
+float
+asinf(float x)
+{
+ return (float) asin(x);
+}
+#endif
+
+#ifndef HAVE_ATAN2F
+#define HAVE_ATAN2F
+float
+atan2f(float y, float x)
+{
+ return (float) atan2(y, x);
+}
+#endif
+
+#ifndef HAVE_ATANF
+#define HAVE_ATANF
+float
+atanf(float x)
+{
+ return (float) atan(x);
+}
+#endif
+
+#ifndef HAVE_CEILF
+#define HAVE_CEILF
+float
+ceilf(float x)
+{
+ return (float) ceil(x);
+}
+#endif
+
+#ifndef HAVE_COPYSIGNF
+#define HAVE_COPYSIGNF
+float
+copysignf(float x, float y)
+{
+ return (float) copysign(x, y);
+}
+#endif
+
+#ifndef HAVE_COSF
+#define HAVE_COSF
+float
+cosf(float x)
+{
+ return (float) cos(x);
+}
+#endif
+
+#ifndef HAVE_COSHF
+#define HAVE_COSHF
+float
+coshf(float x)
+{
+ return (float) cosh(x);
+}
+#endif
+
+#ifndef HAVE_EXPF
+#define HAVE_EXPF
+float
+expf(float x)
+{
+ return (float) exp(x);
+}
+#endif
+
+#ifndef HAVE_FABSF
+#define HAVE_FABSF
+float
+fabsf(float x)
+{
+ return (float) fabs(x);
+}
+#endif
+
+#ifndef HAVE_FLOORF
+#define HAVE_FLOORF
+float
+floorf(float x)
+{
+ return (float) floor(x);
+}
+#endif
+
+#ifndef HAVE_FREXPF
+#define HAVE_FREXPF
+float
+frexpf(float x, int *exp)
+{
+ return (float) frexp(x, exp);
+}
+#endif
+
+#ifndef HAVE_HYPOTF
+#define HAVE_HYPOTF
+float
+hypotf(float x, float y)
+{
+ return (float) hypot(x, y);
+}
+#endif
+
+#ifndef HAVE_LOGF
+#define HAVE_LOGF
+float
+logf(float x)
+{
+ return (float) log(x);
+}
+#endif
+
+#ifndef HAVE_LOG10F
+#define HAVE_LOG10F
+float
+log10f(float x)
+{
+ return (float) log10(x);
+}
+#endif
+
+#ifndef HAVE_SCALBN
+#define HAVE_SCALBN
+double
+scalbn(double x, int y)
+{
+ return x * pow(FLT_RADIX, y);
+}
+#endif
+
+#ifndef HAVE_SCALBNF
+#define HAVE_SCALBNF
+float
+scalbnf(float x, int y)
+{
+ return (float) scalbn(x, y);
+}
+#endif
+
+#ifndef HAVE_SINF
+#define HAVE_SINF
+float
+sinf(float x)
+{
+ return (float) sin(x);
+}
+#endif
+
+#ifndef HAVE_SINHF
+#define HAVE_SINHF
+float
+sinhf(float x)
+{
+ return (float) sinh(x);
+}
+#endif
+
+#ifndef HAVE_SQRTF
+#define HAVE_SQRTF
+float
+sqrtf(float x)
+{
+ return (float) sqrt(x);
+}
+#endif
+
+#ifndef HAVE_TANF
+#define HAVE_TANF
+float
+tanf(float x)
+{
+ return (float) tan(x);
+}
+#endif
+
+#ifndef HAVE_TANHF
+#define HAVE_TANHF
+float
+tanhf(float x)
+{
+ return (float) tanh(x);
+}
+#endif
+
+#ifndef HAVE_TRUNC
+#define HAVE_TRUNC
+double
+trunc(double x)
+{
+ if (!isfinite (x))
+ return x;
+
+ if (x < 0.0)
+ return - floor (-x);
+ else
+ return floor (x);
+}
+#endif
+
+#ifndef HAVE_TRUNCF
+#define HAVE_TRUNCF
+float
+truncf(float x)
+{
+ return (float) trunc (x);
+}
+#endif
+
+#ifndef HAVE_NEXTAFTERF
+#define HAVE_NEXTAFTERF
+/* This is a portable implementation of nextafterf that is intended to be
+ independent of the floating point format or its in memory representation.
+ This implementation works correctly with denormalized values. */
+float
+nextafterf(float x, float y)
+{
+ /* This variable is marked volatile to avoid excess precision problems
+ on some platforms, including IA-32. */
+ volatile float delta;
+ float absx, denorm_min;
+
+ if (isnan(x) || isnan(y))
+ return x + y;
+ if (x == y)
+ return x;
+ if (!isfinite (x))
+ return x > 0 ? __FLT_MAX__ : - __FLT_MAX__;
+
+ /* absx = fabsf (x); */
+ absx = (x < 0.0) ? -x : x;
+
+ /* __FLT_DENORM_MIN__ is non-zero iff the target supports denormals. */
+ if (__FLT_DENORM_MIN__ == 0.0f)
+ denorm_min = __FLT_MIN__;
+ else
+ denorm_min = __FLT_DENORM_MIN__;
+
+ if (absx < __FLT_MIN__)
+ delta = denorm_min;
+ else
+ {
+ float frac;
+ int exp;
+
+ /* Discard the fraction from x. */
+ frac = frexpf (absx, &exp);
+ delta = scalbnf (0.5f, exp);
+
+ /* Scale x by the epsilon of the representation. By rights we should
+ have been able to combine this with scalbnf, but some targets don't
+ get that correct with denormals. */
+ delta *= __FLT_EPSILON__;
+
+ /* If we're going to be reducing the absolute value of X, and doing so
+ would reduce the exponent of X, then the delta to be applied is
+ one exponent smaller. */
+ if (frac == 0.5f && (y < x) == (x > 0))
+ delta *= 0.5f;
+
+ /* If that underflows to zero, then we're back to the minimum. */
+ if (delta == 0.0f)
+ delta = denorm_min;
+ }
+
+ if (y < x)
+ delta = -delta;
+
+ return x + delta;
+}
+#endif
+
+
+#ifndef HAVE_POWF
+#define HAVE_POWF
+float
+powf(float x, float y)
+{
+ return (float) pow(x, y);
+}
+#endif
+
+/* Note that if fpclassify is not defined, then NaN is not handled */
/* Algorithm by Steven G. Kargl. */
#ifndef HAVE_ROUND
+#define HAVE_ROUND
/* Round to nearest integral value. If the argument is halfway between two
integral values then round away from zero. */
round(double x)
{
double t;
-#ifdef HAVE_FPCLASSIFY
- int i;
- i = fpclassify(x);
- if (i == FP_INFINITE || i == FP_NAN)
+ if (!isfinite (x))
return (x);
-#endif
if (x >= 0.0)
{
#endif
#ifndef HAVE_ROUNDF
+#define HAVE_ROUNDF
/* Round to nearest integral value. If the argument is halfway between two
integral values then round away from zero. */
roundf(float x)
{
float t;
-#ifdef HAVE_FPCLASSIFY
- int i;
-
- i = fpclassify(x);
- if (i == FP_INFINITE || i == FP_NAN)
+ if (!isfinite (x))
return (x);
-#endif
if (x >= 0.0)
{
}
#endif
+#ifndef HAVE_LOG10L
+#define HAVE_LOG10L
+/* log10 function for long double variables. The version provided here
+ reduces the argument until it fits into a double, then use log10. */
+long double
+log10l(long double x)
+{
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+ if (x > DBL_MAX)
+ {
+ double val;
+ int p2_result = 0;
+ if (x > 0x1p16383L) { p2_result += 16383; x /= 0x1p16383L; }
+ if (x > 0x1p8191L) { p2_result += 8191; x /= 0x1p8191L; }
+ if (x > 0x1p4095L) { p2_result += 4095; x /= 0x1p4095L; }
+ if (x > 0x1p2047L) { p2_result += 2047; x /= 0x1p2047L; }
+ if (x > 0x1p1023L) { p2_result += 1023; x /= 0x1p1023L; }
+ val = log10 ((double) x);
+ return (val + p2_result * .30102999566398119521373889472449302L);
+ }
+#endif
+#if LDBL_MIN_EXP < DBL_MIN_EXP
+ if (x < DBL_MIN)
+ {
+ double val;
+ int p2_result = 0;
+ if (x < 0x1p-16380L) { p2_result += 16380; x /= 0x1p-16380L; }
+ if (x < 0x1p-8189L) { p2_result += 8189; x /= 0x1p-8189L; }
+ if (x < 0x1p-4093L) { p2_result += 4093; x /= 0x1p-4093L; }
+ if (x < 0x1p-2045L) { p2_result += 2045; x /= 0x1p-2045L; }
+ if (x < 0x1p-1021L) { p2_result += 1021; x /= 0x1p-1021L; }
+ val = fabs(log10 ((double) x));
+ return (- val - p2_result * .30102999566398119521373889472449302L);
+ }
+#endif
+ return log10 (x);
+}
+#endif
+
+
+#if !defined(HAVE_CABSF)
+#define HAVE_CABSF
+float
+cabsf (float complex z)
+{
+ return hypotf (REALPART (z), IMAGPART (z));
+}
+#endif
+
+#if !defined(HAVE_CABS)
+#define HAVE_CABS
+double
+cabs (double complex z)
+{
+ return hypot (REALPART (z), IMAGPART (z));
+}
+#endif
+
+#if !defined(HAVE_CABSL) && defined(HAVE_HYPOTL)
+#define HAVE_CABSL
+long double
+cabsl (long double complex z)
+{
+ return hypotl (REALPART (z), IMAGPART (z));
+}
+#endif
+
+
+#if !defined(HAVE_CARGF)
+#define HAVE_CARGF
+float
+cargf (float complex z)
+{
+ return atan2f (IMAGPART (z), REALPART (z));
+}
+#endif
+
+#if !defined(HAVE_CARG)
+#define HAVE_CARG
+double
+carg (double complex z)
+{
+ return atan2 (IMAGPART (z), REALPART (z));
+}
+#endif
+
+#if !defined(HAVE_CARGL) && defined(HAVE_ATAN2L)
+#define HAVE_CARGL
+long double
+cargl (long double complex z)
+{
+ return atan2l (IMAGPART (z), REALPART (z));
+}
+#endif
+
+
+/* exp(z) = exp(a)*(cos(b) + i sin(b)) */
+#if !defined(HAVE_CEXPF)
+#define HAVE_CEXPF
+float complex
+cexpf (float complex z)
+{
+ float a, b;
+ float complex v;
+
+ a = REALPART (z);
+ b = IMAGPART (z);
+ COMPLEX_ASSIGN (v, cosf (b), sinf (b));
+ return expf (a) * v;
+}
+#endif
+
+#if !defined(HAVE_CEXP)
+#define HAVE_CEXP
+double complex
+cexp (double complex z)
+{
+ double a, b;
+ double complex v;
+
+ a = REALPART (z);
+ b = IMAGPART (z);
+ COMPLEX_ASSIGN (v, cos (b), sin (b));
+ return exp (a) * v;
+}
+#endif
+
+#if !defined(HAVE_CEXPL) && defined(HAVE_COSL) && defined(HAVE_SINL) && defined(EXPL)
+#define HAVE_CEXPL
+long double complex
+cexpl (long double complex z)
+{
+ long double a, b;
+ long double complex v;
+
+ a = REALPART (z);
+ b = IMAGPART (z);
+ COMPLEX_ASSIGN (v, cosl (b), sinl (b));
+ return expl (a) * v;
+}
+#endif
+
+
+/* log(z) = log (cabs(z)) + i*carg(z) */
+#if !defined(HAVE_CLOGF)
+#define HAVE_CLOGF
+float complex
+clogf (float complex z)
+{
+ float complex v;
+
+ COMPLEX_ASSIGN (v, logf (cabsf (z)), cargf (z));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CLOG)
+#define HAVE_CLOG
+double complex
+clog (double complex z)
+{
+ double complex v;
+
+ COMPLEX_ASSIGN (v, log (cabs (z)), carg (z));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CLOGL) && defined(HAVE_LOGL) && defined(HAVE_CABSL) && defined(HAVE_CARGL)
+#define HAVE_CLOGL
+long double complex
+clogl (long double complex z)
+{
+ long double complex v;
+
+ COMPLEX_ASSIGN (v, logl (cabsl (z)), cargl (z));
+ return v;
+}
+#endif
+
+
+/* log10(z) = log10 (cabs(z)) + i*carg(z) */
+#if !defined(HAVE_CLOG10F)
+#define HAVE_CLOG10F
+float complex
+clog10f (float complex z)
+{
+ float complex v;
+
+ COMPLEX_ASSIGN (v, log10f (cabsf (z)), cargf (z));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CLOG10)
+#define HAVE_CLOG10
+double complex
+clog10 (double complex z)
+{
+ double complex v;
+
+ COMPLEX_ASSIGN (v, log10 (cabs (z)), carg (z));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CLOG10L) && defined(HAVE_LOG10L) && defined(HAVE_CABSL) && defined(HAVE_CARGL)
+#define HAVE_CLOG10L
+long double complex
+clog10l (long double complex z)
+{
+ long double complex v;
+
+ COMPLEX_ASSIGN (v, log10l (cabsl (z)), cargl (z));
+ return v;
+}
+#endif
+
+
+/* pow(base, power) = cexp (power * clog (base)) */
+#if !defined(HAVE_CPOWF)
+#define HAVE_CPOWF
+float complex
+cpowf (float complex base, float complex power)
+{
+ return cexpf (power * clogf (base));
+}
+#endif
+
+#if !defined(HAVE_CPOW)
+#define HAVE_CPOW
+double complex
+cpow (double complex base, double complex power)
+{
+ return cexp (power * clog (base));
+}
+#endif
+
+#if !defined(HAVE_CPOWL) && defined(HAVE_CEXPL) && defined(HAVE_CLOGL)
+#define HAVE_CPOWL
+long double complex
+cpowl (long double complex base, long double complex power)
+{
+ return cexpl (power * clogl (base));
+}
+#endif
+
+
+/* sqrt(z). Algorithm pulled from glibc. */
+#if !defined(HAVE_CSQRTF)
+#define HAVE_CSQRTF
+float complex
+csqrtf (float complex z)
+{
+ float re, im;
+ float complex v;
+
+ re = REALPART (z);
+ im = IMAGPART (z);
+ if (im == 0)
+ {
+ if (re < 0)
+ {
+ COMPLEX_ASSIGN (v, 0, copysignf (sqrtf (-re), im));
+ }
+ else
+ {
+ COMPLEX_ASSIGN (v, fabsf (sqrtf (re)), copysignf (0, im));
+ }
+ }
+ else if (re == 0)
+ {
+ float r;
+
+ r = sqrtf (0.5 * fabsf (im));
+
+ COMPLEX_ASSIGN (v, r, copysignf (r, im));
+ }
+ else
+ {
+ float d, r, s;
+
+ d = hypotf (re, im);
+ /* Use the identity 2 Re res Im res = Im x
+ to avoid cancellation error in d +/- Re x. */
+ if (re > 0)
+ {
+ r = sqrtf (0.5 * d + 0.5 * re);
+ s = (0.5 * im) / r;
+ }
+ else
+ {
+ s = sqrtf (0.5 * d - 0.5 * re);
+ r = fabsf ((0.5 * im) / s);
+ }
+
+ COMPLEX_ASSIGN (v, r, copysignf (s, im));
+ }
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSQRT)
+#define HAVE_CSQRT
+double complex
+csqrt (double complex z)
+{
+ double re, im;
+ double complex v;
+
+ re = REALPART (z);
+ im = IMAGPART (z);
+ if (im == 0)
+ {
+ if (re < 0)
+ {
+ COMPLEX_ASSIGN (v, 0, copysign (sqrt (-re), im));
+ }
+ else
+ {
+ COMPLEX_ASSIGN (v, fabs (sqrt (re)), copysign (0, im));
+ }
+ }
+ else if (re == 0)
+ {
+ double r;
+
+ r = sqrt (0.5 * fabs (im));
+
+ COMPLEX_ASSIGN (v, r, copysign (r, im));
+ }
+ else
+ {
+ double d, r, s;
+
+ d = hypot (re, im);
+ /* Use the identity 2 Re res Im res = Im x
+ to avoid cancellation error in d +/- Re x. */
+ if (re > 0)
+ {
+ r = sqrt (0.5 * d + 0.5 * re);
+ s = (0.5 * im) / r;
+ }
+ else
+ {
+ s = sqrt (0.5 * d - 0.5 * re);
+ r = fabs ((0.5 * im) / s);
+ }
+
+ COMPLEX_ASSIGN (v, r, copysign (s, im));
+ }
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSQRTL) && defined(HAVE_COPYSIGNL) && defined(HAVE_SQRTL) && defined(HAVE_FABSL) && defined(HAVE_HYPOTL)
+#define HAVE_CSQRTL
+long double complex
+csqrtl (long double complex z)
+{
+ long double re, im;
+ long double complex v;
+
+ re = REALPART (z);
+ im = IMAGPART (z);
+ if (im == 0)
+ {
+ if (re < 0)
+ {
+ COMPLEX_ASSIGN (v, 0, copysignl (sqrtl (-re), im));
+ }
+ else
+ {
+ COMPLEX_ASSIGN (v, fabsl (sqrtl (re)), copysignl (0, im));
+ }
+ }
+ else if (re == 0)
+ {
+ long double r;
+
+ r = sqrtl (0.5 * fabsl (im));
+
+ COMPLEX_ASSIGN (v, copysignl (r, im), r);
+ }
+ else
+ {
+ long double d, r, s;
+
+ d = hypotl (re, im);
+ /* Use the identity 2 Re res Im res = Im x
+ to avoid cancellation error in d +/- Re x. */
+ if (re > 0)
+ {
+ r = sqrtl (0.5 * d + 0.5 * re);
+ s = (0.5 * im) / r;
+ }
+ else
+ {
+ s = sqrtl (0.5 * d - 0.5 * re);
+ r = fabsl ((0.5 * im) / s);
+ }
+
+ COMPLEX_ASSIGN (v, r, copysignl (s, im));
+ }
+ return v;
+}
+#endif
+
+
+/* sinh(a + i b) = sinh(a) cos(b) + i cosh(a) sin(b) */
+#if !defined(HAVE_CSINHF)
+#define HAVE_CSINHF
+float complex
+csinhf (float complex a)
+{
+ float r, i;
+ float complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sinhf (r) * cosf (i), coshf (r) * sinf (i));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSINH)
+#define HAVE_CSINH
+double complex
+csinh (double complex a)
+{
+ double r, i;
+ double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sinh (r) * cos (i), cosh (r) * sin (i));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSINHL) && defined(HAVE_COSL) && defined(HAVE_COSHL) && defined(HAVE_SINL) && defined(HAVE_SINHL)
+#define HAVE_CSINHL
+long double complex
+csinhl (long double complex a)
+{
+ long double r, i;
+ long double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sinhl (r) * cosl (i), coshl (r) * sinl (i));
+ return v;
+}
+#endif
+
+
+/* cosh(a + i b) = cosh(a) cos(b) - i sinh(a) sin(b) */
+#if !defined(HAVE_CCOSHF)
+#define HAVE_CCOSHF
+float complex
+ccoshf (float complex a)
+{
+ float r, i;
+ float complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, coshf (r) * cosf (i), - (sinhf (r) * sinf (i)));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CCOSH)
+#define HAVE_CCOSH
+double complex
+ccosh (double complex a)
+{
+ double r, i;
+ double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, cosh (r) * cos (i), - (sinh (r) * sin (i)));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CCOSHL) && defined(HAVE_COSL) && defined(HAVE_COSHL) && defined(HAVE_SINL) && defined(HAVE_SINHL)
+#define HAVE_CCOSHL
+long double complex
+ccoshl (long double complex a)
+{
+ long double r, i;
+ long double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, coshl (r) * cosl (i), - (sinhl (r) * sinl (i)));
+ return v;
+}
+#endif
+
+
+/* tanh(a + i b) = (tanh(a) + i tan(b)) / (1 - i tanh(a) tan(b)) */
+#if !defined(HAVE_CTANHF)
+#define HAVE_CTANHF
+float complex
+ctanhf (float complex a)
+{
+ float rt, it;
+ float complex n, d;
+
+ rt = tanhf (REALPART (a));
+ it = tanf (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
+#if !defined(HAVE_CTANH)
+#define HAVE_CTANH
+double complex
+ctanh (double complex a)
+{
+ double rt, it;
+ double complex n, d;
+
+ rt = tanh (REALPART (a));
+ it = tan (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
+#if !defined(HAVE_CTANHL) && defined(HAVE_TANL) && defined(HAVE_TANHL)
+#define HAVE_CTANHL
+long double complex
+ctanhl (long double complex a)
+{
+ long double rt, it;
+ long double complex n, d;
+
+ rt = tanhl (REALPART (a));
+ it = tanl (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
+
+/* sin(a + i b) = sin(a) cosh(b) + i cos(a) sinh(b) */
+#if !defined(HAVE_CSINF)
+#define HAVE_CSINF
+float complex
+csinf (float complex a)
+{
+ float r, i;
+ float complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sinf (r) * coshf (i), cosf (r) * sinhf (i));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSIN)
+#define HAVE_CSIN
+double complex
+csin (double complex a)
+{
+ double r, i;
+ double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sin (r) * cosh (i), cos (r) * sinh (i));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CSINL) && defined(HAVE_COSL) && defined(HAVE_COSHL) && defined(HAVE_SINL) && defined(HAVE_SINHL)
+#define HAVE_CSINL
+long double complex
+csinl (long double complex a)
+{
+ long double r, i;
+ long double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, sinl (r) * coshl (i), cosl (r) * sinhl (i));
+ return v;
+}
+#endif
+
+
+/* cos(a + i b) = cos(a) cosh(b) - i sin(a) sinh(b) */
+#if !defined(HAVE_CCOSF)
+#define HAVE_CCOSF
+float complex
+ccosf (float complex a)
+{
+ float r, i;
+ float complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, cosf (r) * coshf (i), - (sinf (r) * sinhf (i)));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CCOS)
+#define HAVE_CCOS
+double complex
+ccos (double complex a)
+{
+ double r, i;
+ double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, cos (r) * cosh (i), - (sin (r) * sinh (i)));
+ return v;
+}
+#endif
+
+#if !defined(HAVE_CCOSL) && defined(HAVE_COSL) && defined(HAVE_COSHL) && defined(HAVE_SINL) && defined(HAVE_SINHL)
+#define HAVE_CCOSL
+long double complex
+ccosl (long double complex a)
+{
+ long double r, i;
+ long double complex v;
+
+ r = REALPART (a);
+ i = IMAGPART (a);
+ COMPLEX_ASSIGN (v, cosl (r) * coshl (i), - (sinl (r) * sinhl (i)));
+ return v;
+}
+#endif
+
+
+/* tan(a + i b) = (tan(a) + i tanh(b)) / (1 - i tan(a) tanh(b)) */
+#if !defined(HAVE_CTANF)
+#define HAVE_CTANF
+float complex
+ctanf (float complex a)
+{
+ float rt, it;
+ float complex n, d;
+
+ rt = tanf (REALPART (a));
+ it = tanhf (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
+#if !defined(HAVE_CTAN)
+#define HAVE_CTAN
+double complex
+ctan (double complex a)
+{
+ double rt, it;
+ double complex n, d;
+
+ rt = tan (REALPART (a));
+ it = tanh (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
+#if !defined(HAVE_CTANL) && defined(HAVE_TANL) && defined(HAVE_TANHL)
+#define HAVE_CTANL
+long double complex
+ctanl (long double complex a)
+{
+ long double rt, it;
+ long double complex n, d;
+
+ rt = tanl (REALPART (a));
+ it = tanhl (IMAGPART (a));
+ COMPLEX_ASSIGN (n, rt, it);
+ COMPLEX_ASSIGN (d, 1, - (rt * it));
+
+ return n / d;
+}
+#endif
+
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