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Diffstat (limited to 'math')
-rw-r--r--math/Makefile14
-rw-r--r--math/complex.h2
-rw-r--r--math/fenv.h114
-rw-r--r--math/libm-test.c635
-rw-r--r--math/math.h27
5 files changed, 712 insertions, 80 deletions
diff --git a/math/Makefile b/math/Makefile
index 64803a3..86418b0 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -22,7 +22,8 @@ subdir := math
# Installed header files.
headers := math.h mathcalls.h __math.h huge_val.h nan.h \
- fpu_control.h complex.h cmathcalls.h
+ fpu_control.h complex.h cmathcalls.h fenv.h \
+ fenvbits.h
# Internal header files.
distribute := math_private.h machine/asm.h machine/endian.h
@@ -36,7 +37,10 @@ extra-libs := libm
extra-libs-others = $(extra-libs)
libm-support = k_standard s_lib_version s_matherr s_signgam \
- s_rinttol s_rinttoll
+ s_rinttol s_rinttoll s_roundtol s_roundtoll \
+ fclrexcpt fgetexcptflg fraiseexcpt fsetexcptflg \
+ ftestexcept fegetround fesetround fegetenv feholdexcpt \
+ fesetenv feupdateenv
libm-calls = e_acos e_acosh e_asin e_atan2 e_atanh e_cosh e_exp e_fmod \
e_hypot e_j0 e_j1 e_jn e_lgamma_r e_log e_log10 e_pow \
e_rem_pio2 e_remainder e_scalb e_sinh e_sqrt k_cos \
@@ -49,8 +53,10 @@ libm-calls = e_acos e_acosh e_asin e_atan2 e_atanh e_cosh e_exp e_fmod \
w_gamma_r w_hypot w_j0 w_j1 w_jn w_lgamma w_lgamma_r \
w_log w_log10 w_pow w_remainder w_scalb w_sinh w_sqrt \
s_signbit s_fpclassify s_fmax s_fmin s_fdim s_nan s_trunc \
- s_remquo s_log2 s_exp2 \
- conj cimag creal cabs carg s_cexp s_csinh s_ccosh s_clog
+ s_remquo s_log2 s_exp2 s_round s_nearbyint \
+ conj cimag creal cabs carg s_cexp s_csinh s_ccosh s_clog \
+ s_catan s_casin s_ccos s_csin s_ctan s_ctanh s_cacos \
+ s_casinh s_cacosh s_catanh s_csqrt s_cpow
libm-routines = $(libm-support) $(libm-calls) \
$(patsubst %_rf,%f_r,$(libm-calls:=f)) \
$(long-m-$(long-double-fcts))
diff --git a/math/complex.h b/math/complex.h
index 4214353..938823b 100644
--- a/math/complex.h
+++ b/math/complex.h
@@ -38,7 +38,7 @@ __BEGIN_DECLS
/* Narrowest imaginary unit. This depends on the floating-point
evaluation method.
XXX This probably has to go into a gcc related file. */
-#define _Imaginary_I (DBL_EPSISON * 1.0i)
+#define _Imaginary_I (1.0iF)
/* Another more descriptive name is `I'. */
#undef I
diff --git a/math/fenv.h b/math/fenv.h
new file mode 100644
index 0000000..c9a8a5c
--- /dev/null
+++ b/math/fenv.h
@@ -0,0 +1,114 @@
+/* Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library 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
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/*
+ * ISO C 9X 7.6: Floating-point environment <fenv.h>
+ */
+
+#ifndef _FENV_H
+
+#define __FENV_H 1
+#include <features.h>
+
+/* Get the architecture dependend definitions. The following definitions
+ are expected to be done:
+
+ fenv_t type for object representing an entire floating-point
+ environment
+
+ FE_DFL_ENV macro of type pointer to fenv_t to be used as the argument
+ to functions taking an argument of type fenv_t; in this
+ case the default environment will be used
+
+ fexcept_t type for object representing the floating-point exception
+ flags including status associated with the flags
+
+ The following macros are defined iff the implementation supports this
+ kind of exception.
+ FE_INEXACT inxeact result
+ FE_DIVBYZERO devision by zero
+ FE_UNDERFLOW result not representable due to underflow
+ FE_OVERFLOW result not representable due to overflow
+ FE_INVALID invalid operation
+
+ FE_ALL_EXCEPT bitwise OR of all supported exceptions
+
+ The next macros are defined iff the appropriate rounding mode is
+ supported by the implementation.
+ FE_TONEAREST round to nearest
+ FE_UPWARD round toward +Inf
+ FE_DOWNWARD round toward -Inf
+ FE_TOWARDZERO round toward 0
+*/
+#include <fenvbits.h>
+
+__BEGIN_DECLS
+
+/* Floating-point exception handling. */
+
+/* Clear the supported exceptions represented by EXCEPTS. */
+extern void feclearexcept __P ((int __excepts));
+
+/* Store implementation-defined representation of the exception flags
+ indicated by EXCEPTS in the object pointed to by FLAGP. */
+extern void fegetexceptflag __P ((fexcept_t *__flagp, int __excepts));
+
+/* Raise the supported exceptions represented by EXCEPTS. */
+extern void feraiseexcept __P ((int __excepts));
+
+/* Set complete status for exceptions inidicated by EXCEPTS according to
+ the representation in the object pointed to by FLAGP. */
+extern void fesetexceptflag __P ((__const fexcept_t *__flagp, int __excepts));
+
+/* Determine which of subset of the exceptions specified by EXCEPTS are
+ currently set. */
+extern int fetestexcept __P ((int __excepts));
+
+
+/* Rounding control. */
+
+/* Get current rounding direction. */
+extern int fegetround __P ((void));
+
+/* Establish the rounding direction represented by ROUND. */
+extern int fesetround __P ((int __round));
+
+
+/* Floating-point environment. */
+
+/* Store the current floating-point environment in the object pointed
+ to by ENVP. */
+extern void fegetenv __P ((fenv_t *__envp));
+
+/* Save the current environment in the object pointed to by ENVP, clear
+ exception flags and install a non-stop mode (if available) for all
+ exceptions. */
+extern int feholdexcept __P ((fenv_t *__envp));
+
+/* Establish the floating-point environment represented by the object
+ pointed to by ENVP. */
+extern void fesetenv __P ((__const fenv_t *__envp));
+
+/* Save current exceptions in temporary storage, install environment
+ represented by object pointed to by ENVP and raise exceptions
+ according to saved exceptions. */
+extern void feupdateenv __P ((__const fenv_t *__envp));
+
+__END_DECLS
+
+#endif /* fenv.h */
diff --git a/math/libm-test.c b/math/libm-test.c
index 5171d0f..356cc91 100644
--- a/math/libm-test.c
+++ b/math/libm-test.c
@@ -633,8 +633,9 @@ cbrt_test (void)
check_isinfn ("cbrt (-inf) == -inf", FUNC(cbrt) (minus_infty));
check_isnan ("cbrt (NaN) == NaN", FUNC(cbrt) (nan_value));
- check ("cbrt (8) == 2", FUNC(cbrt) (8), 2);
- check ("cbrt (-27) == -3", FUNC(cbrt) (-27.0), -3.0);
+ check_eps ("cbrt (8) == 2", FUNC(cbrt) (8), 2, CHOOSE (5e-17L, 0, 0));
+ check_eps ("cbrt (-27) == -3", FUNC(cbrt) (-27.0), -3.0,
+ CHOOSE (3e-16L, 0, 0));
}
@@ -1573,19 +1574,19 @@ remquo_test (void)
result = FUNC(remquo) (1.625, 1.0, &quo);
check ("remquo(1.625, 1.0, &x) == -0.375", result, -0.375);
- check ("remquo(1.625, 1.0, &x) puts 1 in x", quo, 1);
+ check_long ("remquo(1.625, 1.0, &x) puts 1 in x", quo, 1);
result = FUNC(remquo) (-1.625, 1.0, &quo);
check ("remquo(-1.625, 1.0, &x) == 0.375", result, 0.375);
- check ("remquo(-1.625, 1.0, &x) puts -1 in x", quo, -1);
+ check_long ("remquo(-1.625, 1.0, &x) puts -1 in x", quo, -1);
result = FUNC(remquo) (1.625, -1.0, &quo);
- check ("remquo(1.125, -1.0, &x) == 0.125", result, 0.125);
- check ("remquo(1.125, -1.0, &x) puts -1 in x", quo, -1);
+ check ("remquo(1.625, -1.0, &x) == -0.375", result, -0.375);
+ check_long ("remquo(1.625, -1.0, &x) puts -1 in x", quo, -1);
result = FUNC(remquo) (-1.625, -1.0, &quo);
- check ("remquo(-1.125, -1.0, &x) == 0.125", result, 0.125);
- check ("remquo(-1.125, -1.0, &x) puts 1 in x", quo, 1);
+ check ("remquo(-1.625, -1.0, &x) == 0.375", result, 0.375);
+ check_long ("remquo(-1.625, -1.0, &x) puts 1 in x", quo, 1);
}
@@ -1667,10 +1668,10 @@ cexp_test (void)
result = FUNC(cexp) (BUILD_COMPLEX (nan_value, 1.0));
check_isnan ("real(cexp(NaN + 1i)) = NaN", __real__ result);
check_isnan ("imag(cexp(NaN + 1i)) = NaN", __imag__ result);
- result = FUNC(cexp) (BUILD_COMPLEX (nan_value, 1.0));
+ result = FUNC(cexp) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan ("real(cexp(NaN + i inf)) = NaN", __real__ result);
check_isnan ("imag(cexp(NaN + i inf)) = NaN", __imag__ result);
- result = FUNC(cexp) (BUILD_COMPLEX (nan_value, 1.0));
+ result = FUNC(cexp) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(cexp(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cexp(NaN + i NaN)) = NaN", __imag__ result);
@@ -1702,16 +1703,16 @@ csinh_test (void)
check ("imag(csinh(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, plus_infty));
- check ("real(csinh(0 + i Inf)) = 0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(0 + i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(0 + i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, plus_infty));
- check ("real(csinh(-0 + i Inf)) = -0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(-0 + i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(-0 + i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, minus_infty));
- check ("real(csinh(0 - i Inf)) = 0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(0 - i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(0 - i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, minus_infty));
- check ("real(csinh(-0 - i Inf)) = -0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(-0 - i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(-0 - i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, 0.0));
@@ -1740,7 +1741,7 @@ csinh_test (void)
FUNC(fabs) (__real__ result));
check_isnan ("imag(csinh(Inf - i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, minus_infty));
- check_isinfp ("real(csinh(-Inf - i Inf)) = -Inf",
+ check_isinfp ("real(csinh(-Inf - i Inf)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(csinh(-Inf - i Inf)) = NaN", __imag__ result);
@@ -1771,10 +1772,10 @@ csinh_test (void)
check_isnan ("imag(csinh(-6.75 - i Inf)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, nan_value));
- check ("real(csinh(0 + i NaN)) = 0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(0 + i NaN)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, nan_value));
- check ("real(csinh(-0 + i NaN)) = -0", FUNC(fabs) (__real__ result), 0);
+ check ("real(csinh(-0 + i NaN)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, nan_value));
@@ -1784,7 +1785,7 @@ csinh_test (void)
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(csinh(-Inf + i NaN)) = +-Inf",
FUNC(fabs) (__real__ result));
- check_isnan ("imag(csinh(-0 + i NaN)) = NaN", __imag__ result);
+ check_isnan ("imag(csinh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (9.0, nan_value));
check_isnan ("real(csinh(9.0 + i NaN)) = NaN", __real__ result);
@@ -1795,10 +1796,10 @@ csinh_test (void)
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(csinh(NaN + i0)) = NaN", __real__ result);
- check ("imag(csinh(NaN + i0)) = NaN", __imag__ result, 0.0);
+ check ("imag(csinh(NaN + i0)) = 0", __imag__ result, 0.0);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(csinh(NaN - i0)) = NaN", __real__ result);
- check ("imag(csinh(NaN - i0)) = NaN", __imag__ result, minus_zero);
+ check ("imag(csinh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, 10.0));
check_isnan ("real(csinh(NaN + i10)) = NaN", __real__ result);
@@ -1821,21 +1822,152 @@ csinh_test (void)
static void
+ccos_test (void)
+{
+ __complex__ MATHTYPE result;
+
+ result = FUNC(ccos) (BUILD_COMPLEX (0.0, 0.0));
+ check ("real(ccos(0 + 0i)) = 1.0", __real__ result, 1.0);
+ check ("imag(ccos(0 + 0i)) = 0", __imag__ result, 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, 0.0));
+ check ("real(ccos(-0 + 0i)) = 1.0", __real__ result, 1.0);
+ check ("imag(ccos(-0 + 0i)) = -0", __imag__ result, minus_zero);
+ result = FUNC(ccos) (BUILD_COMPLEX (0.0, minus_zero));
+ check ("real(ccos(0 - 0i)) = 1.0", __real__ result, 1.0);
+ check ("imag(ccos(0 - 0i)) = 0", __imag__ result, 0.0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, minus_zero));
+ check ("real(ccos(-0 - 0i)) = 1.0", __real__ result, 1.0);
+ check ("imag(ccos(-0 - 0i)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, 0.0));
+ check_isnan ("real(ccos(+Inf + i0)) = NaN", __real__ result);
+ check ("imag(ccos(Inf + i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, minus_zero));
+ check_isnan ("real(ccos(Inf - i0)) = NaN", __real__ result);
+ check ("imag(ccos(Inf - i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, 0.0));
+ check_isnan ("real(ccos(-Inf + i0)) = NaN", __real__ result);
+ check ("imag(ccos(-Inf + i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, minus_zero));
+ check_isnan ("real(ccos(-Inf - i0)) = NaN", __real__ result);
+ check ("imag(ccos(-Inf - i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (0.0, plus_infty));
+ check_isinfp ("real(ccos(0 + i Inf)) = +Inf", __real__ result);
+ check ("imag(ccos(0 + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (0.0, minus_infty));
+ check_isinfp ("real(ccos(0 - i Inf)) = +Inf", __real__ result);
+ check ("imag(ccos(0 - i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, plus_infty));
+ check_isinfp ("real(ccos(-0 + i Inf)) = +Inf", __real__ result);
+ check ("imag(ccos(-0 + i Inf)) = -0", __imag__ result, minus_zero);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, minus_infty));
+ check_isinfp ("real(ccos(-0 - i Inf)) = +Inf", __real__ result);
+ check ("imag(ccos(-0 - i Inf)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, plus_infty));
+ check_isinfp ("real(ccos(+Inf + i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(+Inf + i Inf)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, plus_infty));
+ check_isinfp ("real(ccos(-Inf + i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(-Inf + i Inf)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, minus_infty));
+ check_isinfp ("real(ccos(Inf - i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(Inf - i Inf)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, minus_infty));
+ check_isinfp ("real(ccos(-Inf - i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(-Inf - i Inf)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (4.625, plus_infty));
+ check_isinfn ("real(ccos(4.625 + i Inf)) = -Inf", __real__ result);
+ check_isinfn ("imag(ccos(4.625 + i Inf)) = -Inf", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (4.625, minus_infty));
+ check_isinfn ("real(ccos(4.625 - i Inf)) = -Inf", __real__ result);
+ check_isinfn ("imag(ccos(4.625 - i Inf)) = -Inf", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (-4.625, plus_infty));
+ check_isinfn ("real(ccos(-4.625 + i Inf)) = -Inf", __real__ result);
+ check_isinfp ("imag(ccos(-4.625 + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (-4.625, minus_infty));
+ check_isinfn ("real(ccos(-4.625 - i Inf)) = -Inf", __real__ result);
+ check_isinfp ("imag(ccos(-4.625 - i Inf)) = +Inf", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, 6.75));
+ check_isnan ("real(ccos(+Inf + i6.75)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(+Inf + i6.75)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, -6.75));
+ check_isnan ("real(ccos(+Inf - i6.75)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(+Inf - i6.75)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, 6.75));
+ check_isnan ("real(ccos(-Inf + i6.75)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(-Inf + i6.75)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, -6.75));
+ check_isnan ("real(ccos(-Inf - i6.75)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(-Inf - i6.75)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, 0.0));
+ check_isnan ("real(ccos(NaN + i0)) = NaN", __real__ result);
+ check ("imag(ccos(NaN + i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, minus_zero));
+ check_isnan ("real(ccos(NaN - i0)) = NaN", __real__ result);
+ check ("imag(ccos(NaN - i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, plus_infty));
+ check_isinfp ("real(ccos(NaN + i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(NaN + i Inf)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, minus_infty));
+ check_isinfp ("real(ccos(NaN - i Inf)) = +Inf", __real__ result);
+ check_isnan ("imag(ccos(NaN - i Inf)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, 9.0));
+ check_isnan ("real(ccos(NaN + i9.0)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(NaN + i9.0)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, -9.0));
+ check_isnan ("real(ccos(NaN - i9.0)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(NaN - i9.0)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (0.0, nan_value));
+ check_isnan ("real(ccos(0 + i NaN)) = NaN", __real__ result);
+ check ("imag(ccos(0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, nan_value));
+ check_isnan ("real(ccos(-0 + i NaN)) = NaN", __real__ result);
+ check ("imag(ccos(-0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (10.0, nan_value));
+ check_isnan ("real(ccos(10 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(10 + i NaN)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (-10.0, nan_value));
+ check_isnan ("real(ccos(-10 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(-10 + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, nan_value));
+ check_isnan ("real(ccos(+Inf + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(+Inf + i NaN)) = NaN", __imag__ result);
+ result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, nan_value));
+ check_isnan ("real(ccos(-Inf + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(-Inf + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(ccos) (BUILD_COMPLEX (nan_value, nan_value));
+ check_isnan ("real(ccos(NaN + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(ccos(NaN + i NaN)) = NaN", __imag__ result);
+}
+
+
+static void
ccosh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, 0.0));
- check ("real(ccosh(0 + 0i)) = 0", __real__ result, 1.0);
+ check ("real(ccosh(0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, 0.0));
- check ("real(ccosh(-0 + 0i)) = -0", __real__ result, 1.0);
+ check ("real(ccosh(-0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(-0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, minus_zero));
- check ("real(ccosh(0 - 0i)) = 0", __real__ result, 1.0);
+ check ("real(ccosh(0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, minus_zero));
- check ("real(ccosh(-0 - 0i)) = -0", __real__ result, 1.0);
+ check ("real(ccosh(-0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, plus_infty));
@@ -1843,13 +1975,13 @@ ccosh_test (void)
check ("imag(ccosh(0 + i Inf)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isnan ("real(ccosh(-0 + i Inf)) = NaN", __real__ result);
- check ("imag(ccosh(-0 + i Inf)) = -0", FUNC(fabs) (__imag__ result), 0);
+ check ("imag(ccosh(-0 + i Inf)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, minus_infty));
check_isnan ("real(ccosh(0 - i Inf)) = NaN", __real__ result);
- check ("imag(ccosh(0 - i Inf)) = 0", FUNC(fabs) (__imag__ result), 0);
+ check ("imag(ccosh(0 - i Inf)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isnan ("real(ccosh(-0 - i Inf)) = NaN", __real__ result);
- check ("imag(ccosh(-0 - i Inf)) = -0", FUNC(fabs) (__imag__ result), 0);
+ check ("imag(ccosh(-0 - i Inf)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, 0.0));
check_isinfp ("real(ccosh(+Inf + 0i)) = +Inf", __real__ result);
@@ -1915,7 +2047,7 @@ ccosh_test (void)
check_isnan ("imag(ccosh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(ccosh(-Inf + i NaN)) = +Inf", __real__ result);
- check_isnan ("imag(ccosh(-0 + i NaN)) = NaN", __imag__ result);
+ check_isnan ("imag(ccosh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (9.0, nan_value));
check_isnan ("real(ccosh(9.0 + i NaN)) = NaN", __real__ result);
@@ -1926,10 +2058,10 @@ ccosh_test (void)
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(ccosh(NaN + i0)) = NaN", __real__ result);
- check ("imag(ccosh(NaN + i0)) = NaN", __imag__ result, 0.0);
+ check ("imag(ccosh(NaN + i0)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(ccosh(NaN - i0)) = NaN", __real__ result);
- check ("imag(ccosh(NaN - i0)) = NaN", __imag__ result, minus_zero);
+ check ("imag(ccosh(NaN - i0)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, 10.0));
check_isnan ("real(ccosh(NaN + i10)) = NaN", __real__ result);
@@ -1951,8 +2083,6 @@ ccosh_test (void)
}
-#if 0
-/* Enable these tests as soon as the functions are available. */
static void
cacos_test (void)
{
@@ -2194,6 +2324,131 @@ cacosh_test (void)
static void
+casin_test (void)
+{
+ __complex__ MATHTYPE result;
+
+ result = FUNC(casin) (BUILD_COMPLEX (0, 0));
+ check ("real(casin(0 + i0)) = 0", __real__ result, 0);
+ check ("imag(casin(0 + i0)) = 0", __imag__ result, 0);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_zero, 0));
+ check ("real(casin(-0 + i0)) = -0", __real__ result, minus_zero);
+ check ("imag(casin(-0 + i0)) = 0", __imag__ result, 0);
+ result = FUNC(casin) (BUILD_COMPLEX (0, minus_zero));
+ check ("real(casin(0 - i0)) = 0", __real__ result, 0);
+ check ("imag(casin(0 - i0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_zero, minus_zero));
+ check ("real(casin(-0 - i0)) = -0", __real__ result, minus_zero);
+ check ("imag(casin(-0 - i0)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, plus_infty));
+ check ("real(casin(+Inf + i Inf)) = pi/4", __real__ result, M_PI_4);
+ check_isinfp ("imag(casin(+Inf + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, minus_infty));
+ check ("real(casin(+Inf - i Inf)) = pi/4", __real__ result, M_PI_4);
+ check_isinfn ("imag(casin(+Inf - i Inf)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, plus_infty));
+ check ("real(casin(-Inf + i Inf)) = -pi/4", __real__ result, -M_PI_4);
+ check_isinfp ("imag(casin(-Inf + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, minus_infty));
+ check ("real(casin(-Inf - i Inf)) = -pi/4", __real__ result, -M_PI_4);
+ check_isinfn ("imag(casin(-Inf - i Inf)) = -Inf", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (-10.0, plus_infty));
+ check ("real(casin(-10.0 + i Inf)) = -0", __real__ result, minus_zero);
+ check_isinfp ("imag(casin(-10.0 + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (-10.0, minus_infty));
+ check ("real(casin(-10.0 - i Inf)) = -0", __real__ result, minus_zero);
+ check_isinfn ("imag(casin(-10.0 - i Inf)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (0, plus_infty));
+ check ("real(casin(0 + i Inf)) = 0", __real__ result, 0.0);
+ check_isinfp ("imag(casin(0 + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (0, minus_infty));
+ check ("real(casin(0 - i Inf)) = 0", __real__ result, 0.0);
+ check_isinfn ("imag(casin(0 - i Inf)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_zero, plus_infty));
+ check ("real(casin(-0 + i Inf)) = -0", __real__ result, minus_zero);
+ check_isinfp ("imag(casin(-0 + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_zero, minus_infty));
+ check ("real(casin(-0 - i Inf)) = -0", __real__ result, minus_zero);
+ check_isinfn ("imag(casin(-0 - i Inf)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (0.1, plus_infty));
+ check ("real(casin(0.1 + i Inf)) = 0", __real__ result, 0);
+ check_isinfp ("imag(casin(0.1 + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (0.1, minus_infty));
+ check ("real(casin(0.1 - i Inf)) = 0", __real__ result, 0);
+ check_isinfn ("imag(casin(0.1 - i Inf)) = -Inf", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, 0));
+ check ("real(casin(-Inf + i0)) = -pi/2", __real__ result, -M_PI_2);
+ check_isinfp ("imag(casin(-Inf + i0)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, minus_zero));
+ check ("real(casin(-Inf - i0)) = -pi/2", __real__ result, -M_PI_2);
+ check_isinfn ("imag(casin(-Inf - i0)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, 100));
+ check ("real(casin(-Inf + i100)) = -pi/2", __real__ result, -M_PI_2);
+ check_isinfp ("imag(casin(-Inf + i100)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, -100));
+ check ("real(casin(-Inf - i100)) = -pi/2", __real__ result, -M_PI_2);
+ check_isinfn ("imag(casin(-Inf - i100)) = -Inf", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, 0));
+ check ("real(casin(+Inf + i0)) = pi/2", __real__ result, M_PI_2);
+ check_isinfp ("imag(casin(+Inf + i0)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, minus_zero));
+ check ("real(casin(+Inf - i0)) = pi/2", __real__ result, M_PI_2);
+ check_isinfn ("imag(casin(+Inf - i0)) = -Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, 0.5));
+ check ("real(casin(+Inf + i0.5)) = pi/2", __real__ result, M_PI_2);
+ check_isinfp ("imag(casin(+Inf + i0.5)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, -0.5));
+ check ("real(casin(+Inf - i0.5)) = pi/2", __real__ result, M_PI_2);
+ check_isinfn ("imag(casin(+Inf - i0.5)) = -Inf", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (nan_value, plus_infty));
+ check_isnan ("real(casin(NaN + i Inf)) = NaN", __real__ result);
+ check_isinfp ("imag(casin(NaN + i Inf)) = +Inf", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (nan_value, minus_infty));
+ check_isnan ("real(casin(NaN - i Inf)) = NaN", __real__ result);
+ check_isinfn ("imag(casin(NaN - i Inf)) = -Inf", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (0.0, nan_value));
+ check ("real(casin(0 + i NaN)) = 0", __real__ result, 0.0);
+ check_isnan ("imag(casin(0 + i NaN)) = NaN", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (minus_zero, nan_value));
+ check ("real(casin(-0 + i NaN)) = -0", __real__ result, minus_zero);
+ check_isnan ("imag(casin(-0 + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (plus_infty, nan_value));
+ check_isnan ("real(casin(+Inf + i NaN)) = NaN", __real__ result);
+ check_isinfp ("imag(casin(+Inf + i NaN)) = +-Inf",
+ FUNC(fabs) (__imag__ result));
+ result = FUNC(casin) (BUILD_COMPLEX (minus_infty, nan_value));
+ check_isnan ("real(casin(-Inf + i NaN)) = NaN", __real__ result);
+ check_isinfp ("imag(casin(-Inf + NaN)) = +-Inf",
+ FUNC(fabs) (__imag__ result));
+
+ result = FUNC(casin) (BUILD_COMPLEX (nan_value, 10.5));
+ check_isnan ("real(casin(NaN + i10.5)) = NaN", __real__ result);
+ check_isnan ("imag(casin(NaN + i10.5)) = NaN", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (nan_value, -10.5));
+ check_isnan ("real(casin(NaN - i10.5)) = NaN", __real__ result);
+ check_isnan ("imag(casin(NaN - i10.5)) = NaN", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (0.75, nan_value));
+ check_isnan ("real(casin(0.75 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(casin(0.75 + i NaN)) = NaN", __imag__ result);
+ result = FUNC(casin) (BUILD_COMPLEX (-0.75, nan_value));
+ check_isnan ("real(casin(-0.75 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(casin(-0.75 + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(casin) (BUILD_COMPLEX (nan_value, nan_value));
+ check_isnan ("real(casin(NaN + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(casin(NaN + i NaN)) = NaN", __imag__ result);
+}
+
+
+static void
casinh_test (void)
{
__complex__ MATHTYPE result;
@@ -2236,6 +2491,12 @@ casinh_test (void)
result = FUNC(casinh) (BUILD_COMPLEX (0, minus_infty));
check_isinfp ("real(casinh(0 - i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
+ result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, plus_infty));
+ check_isinfn ("real(casinh(-0 + i Inf)) = -Inf", __real__ result);
+ check ("imag(casinh(-0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
+ result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, minus_infty));
+ check_isinfn ("real(casinh(-0 - i Inf)) = -Inf", __real__ result);
+ check ("imag(casinh(-0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (0.1, plus_infty));
check_isinfp ("real(casinh(0.1 + i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0.1 + i Inf)) = pi/2", __imag__ result, M_PI_2);
@@ -2278,17 +2539,17 @@ casinh_test (void)
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(casinh(NaN + i0)) = NaN", __real__ result);
- check ("imag(casinh(NaN + i0)) = 0", __imag__ resul, 0);
- result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, nan_value));
+ check ("imag(casinh(NaN + i0)) = 0", __imag__ result, 0);
+ result = FUNC(casinh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(casinh(NaN - i0)) = NaN", __real__ result);
check ("imag(casinh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, plus_infty));
- check_isinfp ("real(casinh(NaN + i Inf)) = +Inf",
+ check_isinfp ("real(casinh(NaN + i Inf)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(casinh(NaN + i Inf)) = NaN", __imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, minus_infty));
- check_isinfp ("real(casinh(NaN - i Inf)) = +Inf",
+ check_isinfp ("real(casinh(NaN - i Inf)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(casinh(NaN - i Inf)) = NaN", __imag__ result);
@@ -2302,7 +2563,7 @@ casinh_test (void)
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan ("real(casinh(NaN + i0.75)) = NaN", __real__ result);
check_isnan ("imag(casinh(NaN + i0.75)) = NaN", __imag__ result);
- result = FUNC(casinh) (BUILD_COMPLEX (-10.5, nan_value));
+ result = FUNC(casinh) (BUILD_COMPLEX (-0.75, nan_value));
check_isnan ("real(casinh(NaN - i0.75)) = NaN", __real__ result);
check_isnan ("imag(casinh(NaN - i0.75)) = NaN", __imag__ result);
@@ -2313,6 +2574,136 @@ casinh_test (void)
static void
+catan_test (void)
+{
+ __complex__ MATHTYPE result;
+
+ result = FUNC(catan) (BUILD_COMPLEX (0, 0));
+ check ("real(catan(0 + i0)) = 0", __real__ result, 0);
+ check ("imag(catan(0 + i0)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_zero, 0));
+ check ("real(catan(-0 + i0)) = -0", __real__ result, minus_zero);
+ check ("imag(catan(-0 + i0)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (0, minus_zero));
+ check ("real(catan(0 - i0)) = 0", __real__ result, 0);
+ check ("imag(catan(0 - i0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_zero, minus_zero));
+ check ("real(catan(-0 - i0)) = -0", __real__ result, minus_zero);
+ check ("imag(catan(-0 - i0)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, plus_infty));
+ check ("real(catan(+Inf + i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(+Inf + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, minus_infty));
+ check ("real(catan(+Inf - i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(+Inf - i Inf)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, plus_infty));
+ check ("real(catan(-Inf + i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf + i Inf)) = 0", __imag__ result, 0.0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, minus_infty));
+ check ("real(catan(-Inf - i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf - i Inf)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, -10.0));
+ check ("real(catan(+Inf - i10.0)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(+Inf - i10.0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, -10.0));
+ check ("real(catan(-Inf - i10.0)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf - i10.0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, minus_zero));
+ check ("real(catan(Inf - i0)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(Inf - i0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, minus_zero));
+ check ("real(catan(-Inf - i0)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf - i0)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, 0.0));
+ check ("real(catan(Inf + i0)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(Inf + i0)) = 0", __imag__ result, 0.0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, 0.0));
+ check ("real(catan(-Inf + i0)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf + i0)) = 0", __imag__ result, 0.0);
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, 0.1));
+ check ("real(catan(+Inf + i0.1)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(+Inf + i0.1)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, 0.1));
+ check ("real(catan(-Inf + i0.1)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf + i0.1)) = 0", __imag__ result, 0);
+
+ result = FUNC(catan) (BUILD_COMPLEX (0.0, minus_infty));
+ check ("real(catan(0 - i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(0 - i Inf)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_zero, minus_infty));
+ check ("real(catan(-0 - i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-0 - i Inf)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (100.0, minus_infty));
+ check ("real(catan(100 - i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(100 - i Inf)) = -0", __imag__ result, minus_zero);
+ result = FUNC(catan) (BUILD_COMPLEX (-100.0, minus_infty));
+ check ("real(catan(-100 - i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-100 - i Inf)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(catan) (BUILD_COMPLEX (0.0, plus_infty));
+ check ("real(catan(0 + i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(0 + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_zero, plus_infty));
+ check ("real(catan(-0 + i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-0 + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (0.5, plus_infty));
+ check ("real(catan(0.5 + i Inf)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(0.5 + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (-0.5, plus_infty));
+ check ("real(catan(-0.5 + i Inf)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-0.5 + i Inf)) = 0", __imag__ result, 0);
+
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, 0.0));
+ check_isnan ("real(catan(NaN + i0)) = NaN", __real__ result);
+ check ("imag(catan(NaN + i0)) = 0", __imag__ result, 0.0);
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, minus_zero));
+ check_isnan ("real(catan(NaN - i0)) = NaN", __real__ result);
+ check ("imag(catan(NaN - i0)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, plus_infty));
+ check_isnan ("real(catan(NaN + i Inf)) = NaN", __real__ result);
+ check ("imag(catan(NaN + i Inf)) = 0", __imag__ result, 0);
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, minus_infty));
+ check_isnan ("real(catan(NaN - i Inf)) = NaN", __real__ result);
+ check ("imag(catan(NaN - i Inf)) = -0", __imag__ result, minus_zero);
+
+ result = FUNC(catan) (BUILD_COMPLEX (0.0, nan_value));
+ check_isnan ("real(catan(0 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(catan(0 + i NaN)) = NaN", __imag__ result);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_zero, nan_value));
+ check_isnan ("real(catan(-0 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(catan(-0 + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(catan) (BUILD_COMPLEX (plus_infty, nan_value));
+ check ("real(catan(+Inf + i NaN)) = pi/2", __real__ result, M_PI_2);
+ check ("imag(catan(+Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
+ result = FUNC(catan) (BUILD_COMPLEX (minus_infty, nan_value));
+ check ("real(catan(-Inf + i NaN)) = -pi/2", __real__ result, -M_PI_2);
+ check ("imag(catan(-Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
+
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, 10.5));
+ check_isnan ("real(catan(NaN + i10.5)) = NaN", __real__ result);
+ check_isnan ("imag(catan(NaN + i10.5)) = NaN", __imag__ result);
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, -10.5));
+ check_isnan ("real(catan(NaN - i10.5)) = NaN", __real__ result);
+ check_isnan ("imag(catan(NaN - i10.5)) = NaN", __imag__ result);
+
+ result = FUNC(catan) (BUILD_COMPLEX (0.75, nan_value));
+ check_isnan ("real(catan(0.75 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(catan(0.75 + i NaN)) = NaN", __imag__ result);
+ result = FUNC(catan) (BUILD_COMPLEX (-0.75, nan_value));
+ check_isnan ("real(catan(-0.75 + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(catan(-0.75 + i NaN)) = NaN", __imag__ result);
+
+ result = FUNC(catan) (BUILD_COMPLEX (nan_value, nan_value));
+ check_isnan ("real(catan(NaN + i NaN)) = NaN", __real__ result);
+ check_isnan ("imag(catan(NaN + i NaN)) = NaN", __imag__ result);
+}
+
+
+static void
catanh_test (void)
{
__complex__ MATHTYPE result;
@@ -2344,11 +2735,17 @@ catanh_test (void)
check ("imag(catanh(-Inf - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (-10.0, plus_infty));
- check ("real(catanh(-10.0 + i Inf)) = -0", __real__ result, -minus_zero);
+ check ("real(catanh(-10.0 + i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-10.0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (-10.0, minus_infty));
- check ("real(catanh(-10.0 - i Inf)) = -0", __real__ result, minus_infty);
+ check ("real(catanh(-10.0 - i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-10.0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
+ result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, plus_infty));
+ check ("real(catanh(-0 + i Inf)) = -0", __real__ result, minus_zero);
+ check ("imag(catanh(-0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
+ result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, minus_infty));
+ check ("real(catanh(-0 - i Inf)) = -0", __real__ result, minus_zero);
+ check ("imag(catanh(-0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0, plus_infty));
check ("real(catanh(0 + i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
@@ -2390,10 +2787,10 @@ catanh_test (void)
result = FUNC(catanh) (BUILD_COMPLEX (0, nan_value));
check ("real(catanh(0 + i NaN)) = 0", __real__ result, 0);
- check_isnan ("imag(catanh(+Inf + i NaN)) = NaN", __imag__ result);
+ check_isnan ("imag(catanh(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(catanh(-0 + i NaN)) = -0", __real__ result, minus_zero);
- check_isnan ("imag(catanh(-Inf + i NaN)) = NaN", __imag__ result);
+ check_isnan ("imag(catanh(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, nan_value));
check ("real(catanh(+Inf + i NaN)) = 0", __real__ result, 0);
@@ -2404,8 +2801,8 @@ catanh_test (void)
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(catanh(NaN + i0)) = NaN", __real__ result);
- check_isnan ("imag(catanh(NaN + i0)) = NaN", __imag__ resul);
- result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, nan_value));
+ check_isnan ("imag(catanh(NaN + i0)) = NaN", __imag__ result);
+ result = FUNC(catanh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(catanh(NaN - i0)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN - i0)) = NaN", __imag__ result);
@@ -2426,7 +2823,7 @@ catanh_test (void)
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan ("real(catanh(NaN + i0.75)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN + i0.75)) = NaN", __imag__ result);
- result = FUNC(catanh) (BUILD_COMPLEX (-10.5, nan_value));
+ result = FUNC(catanh) (BUILD_COMPLEX (nan_value, -0.75));
check_isnan ("real(catanh(NaN - i0.75)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN - i0.75)) = NaN", __imag__ result);
@@ -2449,7 +2846,7 @@ ctanh_test (void)
check ("imag(ctanh(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, 0));
check ("real(ctanh(-0 + i0)) = -0", __real__ result, minus_zero);
- check ("imag(ctanh(-0 + i0)) = -0", __imag__ result, 0);
+ check ("imag(ctanh(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(ctanh(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(ctanh(-0 - i0)) = -0", __imag__ result, minus_zero);
@@ -2472,7 +2869,7 @@ ctanh_test (void)
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, 1));
check ("real(ctanh(-Inf + i1)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf + i1)) = 0", __imag__ result, 0);
- result = FUNC(ctanh) (BUILD_COMPLEX (pminus_infty, minus_zero));
+ result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(ctanh(-Inf - i0)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, -1));
@@ -2514,9 +2911,9 @@ ctanh_test (void)
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(ctanh(NaN + i0)) = NaN", __real__ result);
check ("imag(ctanh(NaN + i0)) = 0", __imag__ result, 0);
- result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, minus_infty));
+ result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(ctanh(NaN - i0)) = NaN", __real__ result);
- check ("imag(ctanh(NaN - i0)) = -0", __imag__ result, minus_infty);
+ check ("imag(ctanh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, 0.5));
check_isnan ("real(ctanh(NaN + i0.5)) = NaN", __real__ result);
@@ -2542,7 +2939,6 @@ ctanh_test (void)
check_isnan ("real(ctanh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(ctanh(NaN + i NaN)) = NaN", __imag__ result);
}
-#endif
static void
@@ -2639,7 +3035,7 @@ clog_test (void)
result = FUNC(clog) (BUILD_COMPLEX (nan_value, plus_infty));
check_isinfp ("real(clog(NaN + i Inf)) = +Inf", __real__ result);
check_isnan ("imag(clog(NaN + i Inf)) = NaN", __imag__ result);
- result = FUNC(clog) (BUILD_COMPLEX (minus_infty, nan_value));
+ result = FUNC(clog) (BUILD_COMPLEX (nan_value, minus_infty));
check_isinfp ("real(clog(NaN - i Inf)) = +Inf", __real__ result);
check_isnan ("imag(clog(NaN - i Inf)) = NaN", __imag__ result);
@@ -2675,7 +3071,6 @@ clog_test (void)
}
-#if 0
static void
csqrt_test (void)
{
@@ -2709,16 +3104,16 @@ csqrt_test (void)
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, 0));
check_isinfp ("real(csqrt(+Inf + i0)) = +Inf", __real__ result);
- check ("imag(csqrt(-Inf + i0)) = 0", __imag__ result, 0);
+ check ("imag(csqrt(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, 6));
check_isinfp ("real(csqrt(+Inf + i6)) = +Inf", __real__ result);
- check ("imag(csqrt(-Inf + i6)) = 0", __imag__ result, 0);
+ check ("imag(csqrt(+Inf + i6)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(csqrt(+Inf - i0)) = +Inf", __real__ result);
- check ("imag(csqrt(-Inf - i0)) = -0", __imag__ result, minus_zero);
+ check ("imag(csqrt(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, -6));
check_isinfp ("real(csqrt(+Inf - i6)) = +Inf", __real__ result);
- check ("imag(csqrt(-Inf - i6)) = -0", __imag__ result, minus_zero);
+ check ("imag(csqrt(+Inf - i6)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (0, plus_infty));
check_isinfp ("real(csqrt(0 + i Inf)) = +Inf", __real__ result);
@@ -2796,7 +3191,23 @@ csqrt_test (void)
check_isnan ("real(csqrt(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(csqrt(NaN + i NaN)) = NaN", __imag__ result);
}
-#endif
+
+
+static void
+cpow_test (void)
+{
+ __complex__ MATHTYPE result;
+}
+
+
+static void
+rint_test (void)
+{
+ check ("rint(0) = 0", FUNC(rint) (0.0), 0.0);
+ check ("rint(-0) = -0", FUNC(rint) (minus_zero), minus_zero);
+ check_isinfp ("rint(+Inf) = +Inf", FUNC(rint) (plus_infty));
+ check_isinfn ("rint(-Inf) = -Inf", FUNC(rint) (minus_infty));
+}
static void
@@ -2806,16 +3217,17 @@ rinttol_test (void)
the rounding method and test the critical cases. So far, only
unproblematic numbers are tested. */
- check_long ("rinttol(0) = 0", 0.0, 0);
- check_long ("rinttol(-0) = 0", minus_zero, 0);
- check_long ("rinttol(0.2) = 0", 0.2, 0);
- check_long ("rinttol(-0.2) = 0", -0.2, 0);
+ check_long ("rinttol(0) = 0", rinttol (0.0), 0);
+ check_long ("rinttol(-0) = 0", rinttol (minus_zero), 0);
+ check_long ("rinttol(0.2) = 0", rinttol (0.2), 0);
+ check_long ("rinttol(-0.2) = 0", rinttol (-0.2), 0);
- check_long ("rinttol(1.4) = 1", 1.4, 1);
- check_long ("rinttol(-1.4) = -1", -1.4, -1);
+ check_long ("rinttol(1.4) = 1", rinttol (1.4), 1);
+ check_long ("rinttol(-1.4) = -1", rinttol (-1.4), -1);
- check_long ("rinttol(8388600.3) = 8388600", 8388600.3, 8388600);
- check_long ("rinttol(-8388600.3) = -8388600", -8388600.3, -8388600);
+ check_long ("rinttol(8388600.3) = 8388600", rinttol (8388600.3), 8388600);
+ check_long ("rinttol(-8388600.3) = -8388600", rinttol (-8388600.3),
+ -8388600);
}
@@ -2826,16 +3238,79 @@ rinttoll_test (void)
the rounding method and test the critical cases. So far, only
unproblematic numbers are tested. */
- check_longlong ("rinttoll(0) = 0", 0.0, 0);
- check_longlong ("rinttoll(-0) = 0", minus_zero, 0);
- check_longlong ("rinttoll(0.2) = 0", 0.2, 0);
- check_longlong ("rinttoll(-0.2) = 0", -0.2, 0);
+ check_longlong ("rinttoll(0) = 0", rinttoll (0.0), 0);
+ check_longlong ("rinttoll(-0) = 0", rinttoll (minus_zero), 0);
+ check_longlong ("rinttoll(0.2) = 0", rinttoll (0.2), 0);
+ check_longlong ("rinttoll(-0.2) = 0", rinttoll (-0.2), 0);
- check_longlong ("rinttoll(1.4) = 1", 1.4, 1);
- check_longlong ("rinttoll(-1.4) = -1", -1.4, -1);
+ check_longlong ("rinttoll(1.4) = 1", rinttoll (1.4), 1);
+ check_longlong ("rinttoll(-1.4) = -1", rinttoll (-1.4), -1);
- check_longlong ("rinttoll(8388600.3) = 8388600", 8388600.3, 8388600);
- check_longlong ("rinttoll(-8388600.3) = -8388600", -8388600.3, -8388600);
+ check_longlong ("rinttoll(8388600.3) = 8388600", rinttoll (8388600.3),
+ 8388600);
+ check_longlong ("rinttoll(-8388600.3) = -8388600", rinttoll (-8388600.3),
+ -8388600);
+}
+
+
+static void
+round_test (void)
+{
+ check ("round(0) = 0", FUNC(round) (0), 0);
+ check ("round(-0) = -0", FUNC(round) (minus_zero), minus_zero);
+ check ("round(0.2) = 0", FUNC(round) (0.2), 0.0);
+ check ("round(-0.2) = -0", FUNC(round) (-0.2), minus_zero);
+ check ("round(0.5) = 1", FUNC(round) (0.5), 1.0);
+ check ("round(-0.5) = -1", FUNC(round) (-0.5), -1.0);
+ check ("round(0.8) = 1", FUNC(round) (0.8), 1.0);
+ check ("round(-0.8) = -1", FUNC(round) (-0.8), -1.0);
+ check ("round(1.5) = 2", FUNC(round) (1.5), 2.0);
+ check ("round(-1.5) = -2", FUNC(round) (-1.5), -2.0);
+ check ("round(2097152.5) = 2097153", FUNC(round) (2097152.5), 2097153);
+ check ("round(-2097152.5) = -2097153", FUNC(round) (-2097152.5), -2097153);
+}
+
+
+static void
+roundtol_test (void)
+{
+ check_long ("roundtol(0) = 0", roundtol (0), 0);
+ check_long ("roundtol(-0) = 0", roundtol (minus_zero), 0);
+ check_long ("roundtol(0.2) = 0", roundtol (0.2), 0.0);
+ check_long ("roundtol(-0.2) = 0", roundtol (-0.2), 0);
+ check_long ("roundtol(0.5) = 1", roundtol (0.5), 1);
+ check_long ("roundtol(-0.5) = -1", roundtol (-0.5), -1);
+ check_long ("roundtol(0.8) = 1", roundtol (0.8), 1);
+ check_long ("roundtol(-0.8) = -1", roundtol (-0.8), -1);
+ check_long ("roundtol(1.5) = 2", roundtol (1.5), 2);
+ check_long ("roundtol(-1.5) = -2", roundtol (-1.5), -2);
+ check_long ("roundtol(2097152.5) = 2097153", roundtol (2097152.5), 2097153);
+ check_long ("roundtol(-2097152.5) = -2097153", roundtol (-2097152.5),
+ -2097153);
+}
+
+
+static void
+roundtoll_test (void)
+{
+ check_longlong ("roundtoll(0) = 0", roundtoll (0), 0);
+ check_longlong ("roundtoll(-0) = 0", roundtoll (minus_zero), 0);
+ check_longlong ("roundtoll(0.2) = 0", roundtoll (0.2), 0.0);
+ check_longlong ("roundtoll(-0.2) = 0", roundtoll (-0.2), 0);
+ check_longlong ("roundtoll(0.5) = 1", roundtoll (0.5), 1);
+ check_longlong ("roundtoll(-0.5) = -1", roundtoll (-0.5), -1);
+ check_longlong ("roundtoll(0.8) = 1", roundtoll (0.8), 1);
+ check_longlong ("roundtoll(-0.8) = -1", roundtoll (-0.8), -1);
+ check_longlong ("roundtoll(1.5) = 2", roundtoll (1.5), 2);
+ check_longlong ("roundtoll(-1.5) = -2", roundtoll (-1.5), -2);
+ check_longlong ("roundtoll(2097152.5) = 2097153",
+ roundtoll (2097152.5), 2097153);
+ check_longlong ("roundtoll(-2097152.5) = -2097153",
+ roundtoll (-2097152.5), -2097153);
+ check_longlong ("roundtoll(34359738368.5) = 34359738369",
+ roundtoll (34359738368.5), 34359738369ll);
+ check_longlong ("roundtoll(-34359738368.5) = -34359738369",
+ roundtoll (-34359738368.5), -34359738369ll);
}
@@ -3168,11 +3643,25 @@ main (int argc, char *argv[])
#endif
cexp_test ();
csinh_test ();
+ ccos_test ();
ccosh_test ();
clog_test ();
-
+ cacos_test ();
+ cacosh_test ();
+ casin_test ();
+ casinh_test ();
+ catan_test ();
+ catanh_test ();
+ ctanh_test ();
+ csqrt_test ();
+ cpow_test ();
+
+ rint_test ();
rinttol_test ();
rinttoll_test ();
+ round_test ();
+ roundtol_test ();
+ roundtoll_test ();
identities ();
inverse_functions ();
diff --git a/math/math.h b/math/math.h
index ce4f486..bf3ef9b 100644
--- a/math/math.h
+++ b/math/math.h
@@ -115,6 +115,25 @@ extern int signgam;
/* ISO C 9X defines some generic macros which work on any data type. */
#if __USE_ISOC9X
+/* Get the architecture specific values describing the floating-point
+ evaluation. The following symbols will get defined:
+
+ float_t floating-point type at least as wide as `float' used
+ to evaluate `float' expressions
+ double_t floating-point type at least as wide as `double' used
+ to evaluate `double' expressions
+
+ FLT_EVAL_METHOD
+ Defined to
+ 0 if `float_t' is `float' and `double_t' is `double'
+ 1 if `float_t' and `double_t' are `double'
+ 2 if `float_t' and `double_t' are `long double'
+ else `float_t' and `double_t' are unspecified
+
+ INFINITY representation of the infinity value of type `float_t'
+*/
+#include <mathbits.h>
+
/* All floating-point numbers can be put in one of these categories. */
enum
{
@@ -133,7 +152,7 @@ enum
/* Return number of classification appropriate for X. */
#define fpclassify(x) \
(sizeof (x) == sizeof (float) ? \
- __fpclassifyf (x) \
+ __fpclassifyf (x) \
: sizeof (x) == sizeof (double) ? \
__fpclassify (x) : __fpclassifyl (x))
@@ -145,7 +164,11 @@ enum
__signbit (x) : __signbitl (x))
/* Return nonzero value if X is not +-Inf or NaN. */
-#define isfinite(x) (fpclassify (x) >= FP_ZERO)
+#define isfinite(x) \
+ (sizeof (x) == sizeof (float) ? \
+ __finitef (x) \
+ : sizeof (x) == sizeof (double) ? \
+ __finite (x) : __finitel (x))
/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */
#define isnormal(x) (fpclassify (x) == FP_NORMAL)