@@ -36,7 +36,7 @@ extern __float128 asinhq (__float128);
extern __float128 atanq (__float128);
extern __float128 atanhq (__float128);
extern __float128 atan2q (__float128, __float128);
-extern __float128 cbrtq (const __float128);
+extern __float128 cbrtq (__float128);
extern __float128 ceilq (__float128);
extern __float128 copysignq (__float128, __float128);
extern __float128 coshq (__float128);
@@ -46,38 +46,47 @@ extern __float128 erfcq (__float128);
extern __float128 expq (__float128);
extern __float128 expm1q (__float128);
extern __float128 fabsq (__float128);
-extern int finiteq (const __float128);
+extern __float128 fdimq (__float128, __float128);
+extern int finiteq (__float128);
extern __float128 floorq (__float128);
extern __float128 fmaq (__float128, __float128, __float128);
+extern __float128 fmaxq (__float128, __float128);
+extern __float128 fminq (__float128, __float128);
extern __float128 fmodq (__float128, __float128);
extern __float128 frexpq (__float128, int *);
extern __float128 hypotq (__float128, __float128);
extern int isinfq (__float128);
-extern int isnanq (const __float128);
+extern int ilogbq (__float128);
+extern int isnanq (__float128);
extern __float128 j0q (__float128);
extern __float128 j1q (__float128);
extern __float128 jnq (int, __float128);
extern __float128 ldexpq (__float128, int);
extern __float128 lgammaq (__float128);
+extern long long int llrintq (__float128);
extern long long int llroundq (__float128);
extern __float128 logq (__float128);
extern __float128 log10q (__float128);
+extern __float128 log2q (__float128);
extern __float128 log1pq (__float128);
+extern long int lrintq (__float128);
extern long int lroundq (__float128);
extern __float128 modfq (__float128, __float128 *);
extern __float128 nanq (const char *);
+extern __float128 nearbyintq (__float128);
extern __float128 nextafterq (__float128, __float128);
extern __float128 powq (__float128, __float128);
extern __float128 remainderq (__float128, __float128);
+extern __float128 remquoq (__float128, __float128, int *);
extern __float128 rintq (__float128);
extern __float128 roundq (__float128);
extern __float128 scalblnq (__float128, long int);
extern __float128 scalbnq (__float128, int);
-extern int signbitq (const __float128);
+extern int signbitq (__float128);
extern void sincosq (__float128, __float128 *, __float128 *);
extern __float128 sinhq (__float128);
extern __float128 sinq (__float128);
-extern __float128 sqrtq (const __float128);
+extern __float128 sqrtq (__float128);
extern __float128 tanq (__float128);
extern __float128 tanhq (__float128);
extern __float128 tgammaq (__float128);
@@ -90,6 +99,8 @@ extern __float128 ynq (int, __float128);
// Prototypes for complex functions
extern __float128 cabsq (__complex128);
extern __float128 cargq (__complex128);
+extern __float128 cimagq (__complex128);
+extern __float128 crealq (__complex128);
extern __complex128 cacosq (__complex128);
extern __complex128 cacoshq (__complex128);
extern __complex128 casinq (__complex128);
@@ -102,7 +113,9 @@ extern __complex128 cexpq (__complex128)
extern __complex128 cexpiq (__float128);
extern __complex128 clogq (__complex128);
extern __complex128 clog10q (__complex128);
+extern __complex128 conjq (__complex128);
extern __complex128 cpowq (__complex128, __complex128);
+extern __complex128 cprojq (__complex128);
extern __complex128 csinq (__complex128);
extern __complex128 csinhq (__complex128);
extern __complex128 csqrtq (__complex128);
@@ -146,4 +159,25 @@ extern void quadmath_dtoaq (char *, size
#define M_SQRT2q 1.4142135623730950488016887242096981Q /* sqrt(2) */
#define M_SQRT1_2q 0.7071067811865475244008443621048490Q /* 1/sqrt(2) */
+#define __quadmath_extern_inline \
+ extern inline __attribute__ ((__gnu_inline__))
+
+__quadmath_extern_inline __float128
+cimagq (__complex128 __z)
+{
+ return __imag__ __z;
+}
+
+__quadmath_extern_inline __float128
+crealq (__complex128 __z)
+{
+ return __real__ __z;
+}
+
+__quadmath_extern_inline __complex128
+conjq (__complex128 __z)
+{
+ return __extension__ ~__z;
+}
+
#endif
@@ -63,7 +63,10 @@ libquadmath_la_SOURCES = \
math/nanq.c math/tgammaq.c math/finiteq.c math/nextafterq.c \
math/truncq.c math/floorq.c math/powq.c math/fmaq.c \
math/cacoshq.c math/cacosq.c math/casinhq.c math/casinq.c \
- math/catanhq.c math/catanq.c
+ math/catanhq.c math/catanq.c math/cimagq.c math/conjq.c math/cprojq.c \
+ math/crealq.c math/fdimq.c math/fmaxq.c math/fminq.c math/ilogbq.c \
+ math/llrintq.c math/log2q.c math/lrintq.c math/nearbyintq.c math/remquoq.c
+
# Work around what appears to be a GNU make bug handling MAKEFLAGS
# values defined in terms of make variables, as is the case for CC and
@@ -53,12 +53,16 @@ __qmath3 (erfcq)
__qmath3 (expq)
__qmath3 (expm1q)
__qmath3 (fabsq)
+__qmath3 (fdimq)
__qmath3 (finiteq)
__qmath3 (floorq)
__qmath3 (fmaq)
+__qmath3 (fmaxq)
+__qmath3 (fminq)
__qmath3 (fmodq)
__qmath3 (frexpq)
__qmath3 (hypotq)
+__qmath3 (ilogbq)
__qmath3 (isinfq)
__qmath3 (isnanq)
__qmath3 (j0q)
@@ -66,16 +70,21 @@ __qmath3 (j1q)
__qmath3 (jnq)
__qmath3 (ldexpq)
__qmath3 (lgammaq)
+__qmath3 (llrintq)
__qmath3 (llroundq)
__qmath3 (logq)
__qmath3 (log10q)
__qmath3 (log1pq)
+__qmath3 (log2q)
+__qmath3 (lrintq)
__qmath3 (lroundq)
__qmath3 (modfq)
__qmath3 (nanq)
+__qmath3 (nearbyintq)
__qmath3 (nextafterq)
__qmath3 (powq)
__qmath3 (remainderq)
+__qmath3 (remquoq)
__qmath3 (rintq)
__qmath3 (roundq)
__qmath3 (scalblnq)
@@ -97,6 +106,8 @@ __qmath3 (ynq)
// Prototypes for complex functions
__qmath3 (cabsq)
__qmath3 (cargq)
+__qmath3 (cimagq)
+__qmath3 (crealq)
__qmath3 (cacosq)
__qmath3 (cacoshq)
__qmath3 (casinq)
@@ -109,7 +120,9 @@ __qmath3 (cexpq)
__qmath3 (cexpiq)
__qmath3 (clogq)
__qmath3 (clog10q)
+__qmath3 (conjq)
__qmath3 (cpowq)
+__qmath3 (cprojq)
__qmath3 (csinq)
__qmath3 (csinhq)
__qmath3 (csqrtq)
@@ -42,12 +42,6 @@ extern __float128 __quadmath_kernel_cosq
#endif
-// If we don't have macros to know endianess, assume little endian
-#if !defined(__BIG_ENDIAN__) && !defined(__LITTLE_ENDIAN__)
-# define __LITTLE_ENDIAN__ 1
-#endif
-
-
// Main union type we use to manipulate the floating-point type
typedef union
{
@@ -55,13 +49,12 @@ typedef union
struct
{
-#if __BIG_ENDIAN__
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
unsigned negative:1;
unsigned exponent:15;
uint64_t mant_high:48;
uint64_t mant_low:64;
-#endif
-#if __LITTLE_ENDIAN__
+#else
uint64_t mant_low:64;
uint64_t mant_high:48;
unsigned exponent:15;
@@ -71,11 +64,10 @@ typedef union
struct
{
-#if __BIG_ENDIAN__
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
uint64_t high;
uint64_t low;
-#endif
-#if __LITTLE_ENDIAN__
+#else
uint64_t low;
uint64_t high;
#endif
@@ -83,13 +75,12 @@ typedef union
struct
{
-#if __BIG_ENDIAN__
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
uint32_t w0;
uint32_t w1;
uint32_t w2;
uint32_t w3;
-#endif
-#if __LITTLE_ENDIAN__
+#else
uint32_t w3;
uint32_t w2;
uint32_t w1;
@@ -99,14 +90,13 @@ typedef union
struct
{
-#if __BIG_ENDIAN__
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
unsigned negative:1;
unsigned exponent:15;
unsigned quiet_nan:1;
uint64_t mant_high:47;
uint64_t mant_low:64;
-#endif
-#if __LITTLE_ENDIAN__
+#else
uint64_t mant_low:64;
uint64_t mant_high:47;
unsigned quiet_nan:1;
@@ -7,12 +7,6 @@ QUADMATH_1.0 {
atanq;
atanhq;
atan2q;
- cacoshq;
- cacosq;
- casinhq;
- casinq;
- catanhq;
- catanq;
cbrtq;
ceilq;
copysignq;
@@ -23,12 +17,16 @@ QUADMATH_1.0 {
expq;
expm1q;
fabsq;
+ fdimq;
finiteq;
floorq;
fmaq;
+ fmaxq;
+ fminq;
fmodq;
frexpq;
hypotq;
+ ilogbq;
isinfq;
isnanq;
j0q;
@@ -36,16 +34,21 @@ QUADMATH_1.0 {
jnq;
ldexpq;
lgammaq;
+ llrintq;
llroundq;
logq;
log10q;
log1pq;
+ log2q;
+ lrintq;
lroundq;
modfq;
nanq;
+ nearbyintq;
nextafterq;
powq;
remainderq;
+ remquoq;
rintq;
roundq;
scalblnq;
@@ -64,13 +67,23 @@ QUADMATH_1.0 {
ynq;
cabsq;
cargq;
+ cimagq;
+ crealq;
+ cacoshq;
+ cacosq;
+ casinhq;
+ casinq;
+ catanhq;
+ catanq;
ccosq;
ccoshq;
cexpq;
cexpiq;
clogq;
clog10q;
+ conjq;
cpowq;
+ cprojq;
csinq;
csinhq;
csqrtq;
@@ -111,12 +111,16 @@ The following mathematical functions are
@item @code{expm1q}: exponential minus 1 function
@need 800
@item @code{fabsq}: absolute value function
+@item @code{fdimq}: positive difference function
@item @code{finiteq}: check finiteness of value
@item @code{floorq}: floor value function
@item @code{fmaq}: fused multiply and add
+@item @code{fmaxq}: determine maximum of two values
+@item @code{fminq}: determine minimum of two values
@item @code{fmodq}: remainder value function
@item @code{frexpq}: extract mantissa and exponent
@item @code{hypotq}: Eucledian distance function
+@item @code{ilogbq}: get exponent of the value
@item @code{isinfq}: check for infinity
@item @code{isnanq}: check for not a number
@item @code{j0q}: Bessel function of the first kind, first order
@@ -124,17 +128,22 @@ The following mathematical functions are
@item @code{jnq}: Bessel function of the first kind, @var{n}-th order
@item @code{ldexpq}: load exponent of the value
@item @code{lgammaq}: logarithmic gamma function
+@item @code{llrintq}: round to nearest integer value
@item @code{llroundq}: round to nearest integer value away from zero
@item @code{logq}: natural logarithm function
@item @code{log10q}: base 10 logarithm function
@item @code{log1pq}: compute natural logarithm of the value plus one
+@item @code{log2q}: base 2 logarithm function
@need 800
+@item @code{lrintq}: round to nearest integer value
@item @code{lroundq}: round to nearest integer value away from zero
@item @code{modfq}: decompose the floating-point number
@item @code{nanq}: return quiet NaN
+@item @code{nearbyintq}: round to nearest integer
@item @code{nextafterq}: next representable floating-point number
@item @code{powq}: power function
@item @code{remainderq}: remainder function
+@item @code{remquoq}: remainder and part of quotient
@item @code{rintq}: round-to-nearest integral value
@item @code{roundq}: round-to-nearest integral value, return @code{__float128}
@item @code{scalblnq}: compute exponent using @code{FLT_RADIX}
@@ -152,8 +161,10 @@ The following mathematical functions are
@item @code{y0q}: Bessel function of the second kind, first order
@item @code{y1q}: Bessel function of the second kind, second order
@item @code{ynq}: Bessel function of the second kind, @var{n}-th order
-@item @code{cabsq} complex absolute value function:
+@item @code{cabsq} complex absolute value function
@item @code{cargq}: calculate the argument
+@item @code{cimagq} imaginary part of complex number
+@item @code{crealq}: real part of complex number
@item @code{cacoshq}: complex arc hyperbolic cosine function
@item @code{cacosq}: complex arc cosine function
@item @code{casinhq}: complex arc hyperbolic sine function
@@ -168,7 +179,9 @@ The following mathematical functions are
real value
@item @code{clogq}: complex natural logarithm
@item @code{clog10q}: complex base 10 logarithm
+@item @code{conjq}: complex conjugate function
@item @code{cpowq}: complex power function
+@item @code{cprojq}: project into Riemann Sphere
@item @code{csinq}: complex sine function
@item @code{csinhq}: complex hyperbolic sine function
@item @code{csqrtq}: complex square root
@@ -0,0 +1,40 @@
+/* Compute projection of complex __float128 value to Riemann sphere.
+ Copyright (C) 1997, 1999, 2010 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+
+__complex128
+cprojq (__complex128 x)
+{
+ if (isnanq (__real__ x) && isnanq (__imag__ x))
+ return x;
+ else if (!finiteq (__real__ x) || !finiteq (__imag__ x))
+ {
+ __complex128 res;
+
+ __real__ res = __builtin_inf ();
+ __imag__ res = copysignq (0.0, __imag__ x);
+
+ return res;
+ }
+
+ return x;
+}
@@ -0,0 +1,64 @@
+/* s_ilogbl.c -- long double version of s_ilogb.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* ilogbl(long double x)
+ * return the binary exponent of non-zero x
+ * ilogbl(0) = FP_ILOGB0
+ * ilogbl(NaN) = FP_ILOGBNAN (no signal is raised)
+ * ilogbl(+-Inf) = INT_MAX (no signal is raised)
+ */
+
+#include <limits.h>
+#include <math.h>
+#include "quadmath-imp.h"
+
+#ifndef FP_ILOGB0
+# define FP_ILOGB0 INT_MIN
+#endif
+#ifndef FP_ILOGBNAN
+# define FP_ILOGBNAN INT_MAX
+#endif
+
+int
+ilogbq (__float128 x)
+{
+ int64_t hx,lx;
+ int ix;
+
+ GET_FLT128_WORDS64(hx,lx,x);
+ hx &= 0x7fffffffffffffffLL;
+ if(hx <= 0x0001000000000000LL) {
+ if((hx|lx)==0)
+ return FP_ILOGB0; /* ilogbl(0) = FP_ILOGB0 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -16431; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -16382, hx<<=15; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7fff000000000000LL) return (hx>>48)-0x3fff;
+ else if (FP_ILOGBNAN != INT_MAX) {
+ /* ISO C99 requires ilogbl(+-Inf) == INT_MAX. */
+ if (((hx^0x7fff000000000000LL)|lx) == 0)
+ return INT_MAX;
+ }
+ return FP_ILOGBNAN;
+}
@@ -0,0 +1,28 @@
+/* Return minimum numeric value of X and Y.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+
+__float128
+fminq (__float128 x, __float128 y)
+{
+ return (__builtin_islessequal (x, y) || isnanq (y)) ? x : y;
+}
@@ -14,6 +14,7 @@
* ====================================================
*/
+#include <errno.h>
#include "quadmath-imp.h"
__float128
@@ -21,6 +22,6 @@ ldexpq (__float128 value, int exp)
{
if(!finiteq(value)||value==0.0Q) return value;
value = scalbnq(value,exp);
- /* if(!__finitel(value)||value==0.0Q) __set_errno (ERANGE); */
+ if(!finiteq(value)||value==0.0Q) errno = ERANGE;
return value;
}
@@ -0,0 +1,71 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997, 1999, 2006 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+static const __float128 two112[2] =
+{
+ 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */
+};
+
+long long int
+llrintq (__float128 x)
+{
+ int32_t j0;
+ uint64_t i0,i1;
+ volatile __float128 w;
+ __float128 t;
+ long long int result;
+ int sx;
+
+ GET_FLT128_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sx = i0 >> 63;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_FLT128_WORDS64 (i0, i1, t);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < 0)
+ result = 0;
+ else if (j0 <= 48)
+ result = i0 >> (48 - j0);
+ else
+ result = ((long long int) i0 << (j0 - 48)) | (i1 >> (112 - j0));
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sx ? -result : result;
+}
@@ -0,0 +1,248 @@
+/* log2l.c
+ * Base 2 logarithm, 128-bit long double precision
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double x, y, log2l();
+ *
+ * y = log2l( x );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns the base 2 logarithm of x.
+ *
+ * The argument is separated into its exponent and fractional
+ * parts. If the exponent is between -1 and +1, the (natural)
+ * logarithm of the fraction is approximated by
+ *
+ * log(1+x) = x - 0.5 x^2 + x^3 P(x)/Q(x).
+ *
+ * Otherwise, setting z = 2(x-1)/x+1),
+ *
+ * log(x) = z + z^3 P(z)/Q(z).
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * IEEE 0.5, 2.0 100,000 2.6e-34 4.9e-35
+ * IEEE exp(+-10000) 100,000 9.6e-35 4.0e-35
+ *
+ * In the tests over the interval exp(+-10000), the logarithms
+ * of the random arguments were uniformly distributed over
+ * [-10000, +10000].
+ *
+ */
+
+/*
+ Cephes Math Library Release 2.2: January, 1991
+ Copyright 1984, 1991 by Stephen L. Moshier
+ Adapted for glibc November, 2001
+
+ This library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ This 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with this library; if not, write to the Free Software
+ Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ */
+
+#include "quadmath-imp.h"
+
+/* Coefficients for ln(1+x) = x - x**2/2 + x**3 P(x)/Q(x)
+ * 1/sqrt(2) <= x < sqrt(2)
+ * Theoretical peak relative error = 5.3e-37,
+ * relative peak error spread = 2.3e-14
+ */
+static const __float128 P[13] =
+{
+ 1.313572404063446165910279910527789794488E4Q,
+ 7.771154681358524243729929227226708890930E4Q,
+ 2.014652742082537582487669938141683759923E5Q,
+ 3.007007295140399532324943111654767187848E5Q,
+ 2.854829159639697837788887080758954924001E5Q,
+ 1.797628303815655343403735250238293741397E5Q,
+ 7.594356839258970405033155585486712125861E4Q,
+ 2.128857716871515081352991964243375186031E4Q,
+ 3.824952356185897735160588078446136783779E3Q,
+ 4.114517881637811823002128927449878962058E2Q,
+ 2.321125933898420063925789532045674660756E1Q,
+ 4.998469661968096229986658302195402690910E-1Q,
+ 1.538612243596254322971797716843006400388E-6Q
+};
+static const __float128 Q[12] =
+{
+ 3.940717212190338497730839731583397586124E4Q,
+ 2.626900195321832660448791748036714883242E5Q,
+ 7.777690340007566932935753241556479363645E5Q,
+ 1.347518538384329112529391120390701166528E6Q,
+ 1.514882452993549494932585972882995548426E6Q,
+ 1.158019977462989115839826904108208787040E6Q,
+ 6.132189329546557743179177159925690841200E5Q,
+ 2.248234257620569139969141618556349415120E5Q,
+ 5.605842085972455027590989944010492125825E4Q,
+ 9.147150349299596453976674231612674085381E3Q,
+ 9.104928120962988414618126155557301584078E2Q,
+ 4.839208193348159620282142911143429644326E1Q
+/* 1.000000000000000000000000000000000000000E0Q, */
+};
+
+/* Coefficients for log(x) = z + z^3 P(z^2)/Q(z^2),
+ * where z = 2(x-1)/(x+1)
+ * 1/sqrt(2) <= x < sqrt(2)
+ * Theoretical peak relative error = 1.1e-35,
+ * relative peak error spread 1.1e-9
+ */
+static const __float128 R[6] =
+{
+ 1.418134209872192732479751274970992665513E5Q,
+ -8.977257995689735303686582344659576526998E4Q,
+ 2.048819892795278657810231591630928516206E4Q,
+ -2.024301798136027039250415126250455056397E3Q,
+ 8.057002716646055371965756206836056074715E1Q,
+ -8.828896441624934385266096344596648080902E-1Q
+};
+static const __float128 S[6] =
+{
+ 1.701761051846631278975701529965589676574E6Q,
+ -1.332535117259762928288745111081235577029E6Q,
+ 4.001557694070773974936904547424676279307E5Q,
+ -5.748542087379434595104154610899551484314E4Q,
+ 3.998526750980007367835804959888064681098E3Q,
+ -1.186359407982897997337150403816839480438E2Q
+/* 1.000000000000000000000000000000000000000E0Q, */
+};
+
+static const __float128
+/* log2(e) - 1 */
+LOG2EA = 4.4269504088896340735992468100189213742664595E-1Q,
+/* sqrt(2)/2 */
+SQRTH = 7.071067811865475244008443621048490392848359E-1Q;
+
+
+/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */
+
+static __float128
+neval (__float128 x, const __float128 *p, int n)
+{
+ __float128 y;
+
+ p += n;
+ y = *p--;
+ do
+ {
+ y = y * x + *p--;
+ }
+ while (--n > 0);
+ return y;
+}
+
+
+/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */
+
+static __float128
+deval (__float128 x, const __float128 *p, int n)
+{
+ __float128 y;
+
+ p += n;
+ y = x + *p--;
+ do
+ {
+ y = y * x + *p--;
+ }
+ while (--n > 0);
+ return y;
+}
+
+
+
+__float128
+log2q (__float128 x)
+{
+ __float128 z;
+ __float128 y;
+ int e;
+ int64_t hx, lx;
+
+/* Test for domain */
+ GET_FLT128_WORDS64 (hx, lx, x);
+ if (((hx & 0x7fffffffffffffffLL) | lx) == 0)
+ return (-1.0Q / (x - x));
+ if (hx < 0)
+ return (x - x) / (x - x);
+ if (hx >= 0x7fff000000000000LL)
+ return (x + x);
+
+/* separate mantissa from exponent */
+
+/* Note, frexp is used so that denormal numbers
+ * will be handled properly.
+ */
+ x = frexpq (x, &e);
+
+
+/* logarithm using log(x) = z + z**3 P(z)/Q(z),
+ * where z = 2(x-1)/x+1)
+ */
+ if ((e > 2) || (e < -2))
+ {
+ if (x < SQRTH)
+ { /* 2( 2x-1 )/( 2x+1 ) */
+ e -= 1;
+ z = x - 0.5Q;
+ y = 0.5Q * z + 0.5Q;
+ }
+ else
+ { /* 2 (x-1)/(x+1) */
+ z = x - 0.5Q;
+ z -= 0.5Q;
+ y = 0.5Q * x + 0.5Q;
+ }
+ x = z / y;
+ z = x * x;
+ y = x * (z * neval (z, R, 5) / deval (z, S, 5));
+ goto done;
+ }
+
+
+/* logarithm using log(1+x) = x - .5x**2 + x**3 P(x)/Q(x) */
+
+ if (x < SQRTH)
+ {
+ e -= 1;
+ x = 2.0 * x - 1.0Q; /* 2x - 1 */
+ }
+ else
+ {
+ x = x - 1.0Q;
+ }
+ z = x * x;
+ y = x * (z * neval (x, P, 12) / deval (x, Q, 11));
+ y = y - 0.5 * z;
+
+done:
+
+/* Multiply log of fraction by log2(e)
+ * and base 2 exponent by 1
+ */
+ z = y * LOG2EA;
+ z += x * LOG2EA;
+ z += y;
+ z += x;
+ z += e;
+ return (z);
+}
@@ -0,0 +1,85 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997, 1999, 2004, 2006 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+static const __float128 two112[2] =
+{
+ 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */
+};
+
+long int
+lrintq (__float128 x)
+{
+ int32_t j0;
+ uint64_t i0,i1;
+ volatile __float128 w;
+ __float128 t;
+ long int result;
+ int sx;
+
+ GET_FLT128_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sx = i0 >> 63;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < 48)
+ {
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_FLT128_WORDS64 (i0, i1, t);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ result = (j0 < 0 ? 0 : i0 >> (48 - j0));
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 112)
+ result = ((long int) i0 << (j0 - 48)) | (i1 << (j0 - 112));
+ else
+ {
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_FLT128_WORDS64 (i0, i1, t);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 == 48)
+ result = (long int) i0;
+ else
+ result = ((long int) i0 << (j0 - 48)) | (i1 >> (112 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sx ? -result : result;
+}
@@ -0,0 +1,27 @@
+/* Return real part of complex __float128 value.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+__float128
+crealq (__complex128 z)
+{
+ return __real__ z;
+}
@@ -0,0 +1,98 @@
+/* nearbyintq.c -- __float128 version of s_nearbyint.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * nearbyintq(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rintq(x).
+ */
+
+#include "quadmath-imp.h"
+#ifdef HAVE_FENV_H
+# include <fenv.h>
+# if defined HAVE_FEHOLDEXCEPT && defined HAVE_FESETENV
+# define USE_FENV_H
+# endif
+#endif
+
+static const __float128
+TWO112[2]={
+ 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */
+};
+
+__float128
+nearbyintq(__float128 x)
+{
+#ifdef USE_FENV_H
+ fenv_t env;
+#endif
+ int64_t i0,j0,sx;
+ uint64_t i,i1;
+ __float128 w,t;
+ GET_FLT128_WORDS64(i0,i1,x);
+ sx = (((uint64_t)i0)>>63);
+ j0 = ((i0>>48)&0x7fff)-0x3fff;
+ if(j0<48) {
+ if(j0<0) {
+ if(((i0&0x7fffffffffffffffLL)|i1)==0) return x;
+ i1 |= (i0&0x0000ffffffffffffLL);
+ i0 &= 0xffffe00000000000ULL;
+ i0 |= ((i1|-i1)>>16)&0x0000800000000000LL;
+ SET_FLT128_MSW64(x,i0);
+#ifdef USE_FENV_H
+ feholdexcept (&env);
+#endif
+ w = TWO112[sx]+x;
+ t = w-TWO112[sx];
+#ifdef USE_FENV_H
+ fesetenv (&env);
+#endif
+ GET_FLT128_MSW64(i0,t);
+ SET_FLT128_MSW64(t,(i0&0x7fffffffffffffffLL)|(sx<<63));
+ return t;
+ } else {
+ i = (0x0000ffffffffffffLL)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==47) i1 = 0x4000000000000000ULL; else
+ i0 = (i0&(~i))|((0x0000200000000000LL)>>j0);
+ }
+ }
+ } else if (j0>111) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x4000000000000000LL)>>(j0-48));
+ }
+ SET_FLT128_WORDS64(x,i0,i1);
+#ifdef USE_FENV_H
+ feholdexcept (&env);
+#endif
+ w = TWO112[sx]+x;
+ t = w-TWO112[sx];
+#ifdef USE_FENV_H
+ fesetenv (&env);
+#endif
+ return t;
+}
@@ -0,0 +1,28 @@
+/* Return maximum numeric value of X and Y.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+
+__float128
+fmaxq (__float128 x, __float128 y)
+{
+ return (__builtin_isgreaterequal (x, y) || isnanq (y)) ? x : y;
+}
@@ -0,0 +1,27 @@
+/* Return complex conjugate of complex __float128 value.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+__complex128
+conjq (__complex128 z)
+{
+ return ~z;
+}
@@ -0,0 +1,107 @@
+/* Compute remainder and a congruent to the quotient.
+ Copyright (C) 1997, 1999, 2002 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+
+static const __float128 zero = 0.0;
+
+
+__float128
+remquoq (__float128 x, __float128 y, int *quo)
+{
+ int64_t hx,hy;
+ u_int64_t sx,lx,ly,qs;
+ int cquo;
+
+ GET_FLT128_WORDS64 (hx, lx, x);
+ GET_FLT128_WORDS64 (hy, ly, y);
+ sx = hx & 0x8000000000000000ULL;
+ qs = sx ^ (hy & 0x8000000000000000ULL);
+ hy &= 0x7fffffffffffffffLL;
+ hx &= 0x7fffffffffffffffLL;
+
+ /* Purge off exception values. */
+ if ((hy | ly) == 0)
+ return (x * y) / (x * y); /* y = 0 */
+ if ((hx >= 0x7fff000000000000LL) /* x not finite */
+ || ((hy >= 0x7fff000000000000LL) /* y is NaN */
+ && (((hy - 0x7fff000000000000LL) | ly) != 0)))
+ return (x * y) / (x * y);
+
+ if (hy <= 0x7ffbffffffffffffLL)
+ x = fmodq (x, 8 * y); /* now x < 8y */
+
+ if (((hx - hy) | (lx - ly)) == 0)
+ {
+ *quo = qs ? -1 : 1;
+ return zero * x;
+ }
+
+ x = fabsq (x);
+ y = fabsq (y);
+ cquo = 0;
+
+ if (x >= 4 * y)
+ {
+ x -= 4 * y;
+ cquo += 4;
+ }
+ if (x >= 2 * y)
+ {
+ x -= 2 * y;
+ cquo += 2;
+ }
+
+ if (hy < 0x0002000000000000LL)
+ {
+ if (x + x > y)
+ {
+ x -= y;
+ ++cquo;
+ if (x + x >= y)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+ else
+ {
+ __float128 y_half = 0.5Q * y;
+ if (x > y_half)
+ {
+ x -= y;
+ ++cquo;
+ if (x >= y_half)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+
+ *quo = qs ? -cquo : cquo;
+
+ if (sx)
+ x = -x;
+ return x;
+}
@@ -0,0 +1,27 @@
+/* Return imaginary part of complex __float128 value.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+__float128
+cimagq (__complex128 z)
+{
+ return __imag__ z;
+}
@@ -0,0 +1,43 @@
+/* Return positive difference between arguments.
+ Copyright (C) 1997, 2004, 2009 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include <errno.h>
+#include "quadmath-imp.h"
+
+__float128
+fdimq (__float128 x, __float128 y)
+{
+ int clsx = fpclassifyq (x);
+ int clsy = fpclassifyq (y);
+
+ if (clsx == QUADFP_NAN || clsy == QUADFP_NAN
+ || (y < 0 && clsx == QUADFP_INFINITE && clsy == QUADFP_INFINITE))
+ /* Raise invalid flag. */
+ return x - y;
+
+ if (x <= y)
+ return 0.0Q;
+
+ __float128 r = x - y;
+ if (isinfq (r))
+ errno = ERANGE;
+
+ return r;
+}
@@ -125,7 +125,14 @@ am__dirstamp = $(am__leading_dot)dirstam
@BUILD_LIBQUADMATH_TRUE@ math/powq.lo math/fmaq.lo \
@BUILD_LIBQUADMATH_TRUE@ math/cacoshq.lo math/cacosq.lo \
@BUILD_LIBQUADMATH_TRUE@ math/casinhq.lo math/casinq.lo \
-@BUILD_LIBQUADMATH_TRUE@ math/catanhq.lo math/catanq.lo
+@BUILD_LIBQUADMATH_TRUE@ math/catanhq.lo math/catanq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/cimagq.lo math/conjq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/cprojq.lo math/crealq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/fdimq.lo math/fmaxq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/fminq.lo math/ilogbq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/llrintq.lo math/log2q.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/lrintq.lo math/nearbyintq.lo \
+@BUILD_LIBQUADMATH_TRUE@ math/remquoq.lo
libquadmath_la_OBJECTS = $(am_libquadmath_la_OBJECTS)
libquadmath_la_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
@@ -327,7 +334,9 @@ AUTOMAKE_OPTIONS = 1.8 foreign
@BUILD_LIBQUADMATH_TRUE@ math/nanq.c math/tgammaq.c math/finiteq.c math/nextafterq.c \
@BUILD_LIBQUADMATH_TRUE@ math/truncq.c math/floorq.c math/powq.c math/fmaq.c \
@BUILD_LIBQUADMATH_TRUE@ math/cacoshq.c math/cacosq.c math/casinhq.c math/casinq.c \
-@BUILD_LIBQUADMATH_TRUE@ math/catanhq.c math/catanq.c
+@BUILD_LIBQUADMATH_TRUE@ math/catanhq.c math/catanq.c math/cimagq.c math/conjq.c math/cprojq.c \
+@BUILD_LIBQUADMATH_TRUE@ math/crealq.c math/fdimq.c math/fmaxq.c math/fminq.c math/ilogbq.c \
+@BUILD_LIBQUADMATH_TRUE@ math/llrintq.c math/log2q.c math/lrintq.c math/nearbyintq.c math/remquoq.c
# Work around what appears to be a GNU make bug handling MAKEFLAGS
@@ -578,6 +587,20 @@ math/casinhq.lo: math/$(am__dirstamp) ma
math/casinq.lo: math/$(am__dirstamp) math/$(DEPDIR)/$(am__dirstamp)
math/catanhq.lo: math/$(am__dirstamp) math/$(DEPDIR)/$(am__dirstamp)
math/catanq.lo: math/$(am__dirstamp) math/$(DEPDIR)/$(am__dirstamp)
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