Update.cvs/libc-ud-970828

1997-08-29 02:36  Ulrich Drepper  <drepper@cygnus.com>

	* Makefile (version-info.h): Use ISO form for the date.

	* catgets/catgetsinfo.h: Include <bits/libc-lock.h>.
	(struct catalog_obj): Add lock field.
	(__open_catalog): Remove second parameter from prototype.
	* catgets/catgets.c (catopen): Initialize lock field.
	(catgets): Don't pass second parameter to __open_catalog.
	* catgets/gencat.c: Initialize lock field and don't pass second
	parameter to __open_catalog.
	* catgets/open_catalog.c (__open_catalog): Decide about use of
	path by examining path in struct, not based on extra argument.
	Acquire a the lock before trying to load the catalog and release
	it before returning.

	* csu/Makefile (abi-tag.h): Make sure target directory exists.

	* io/Makefile (headers): Add bits/poll.h.
	* io/sys/poll.h: Remove definitions of POLL* constants.
	Include <bits/poll.h>.
	* sysdeps/generic/bits/poll.h: New file.
	* sysdeps/unix/sysv/linux/bits/poll.h: New file.
	* sysdeps/unix/sysv/linux/m68k/bits/poll.h: New file.
	* sysdeps/unix/sysv/linux/mips/bits/poll.h: New file.
	* sysdeps/unix/sysv/linux/sparc/bits/poll.h: New file.

	* libio/fileops.c (_IO_file_read, _IO_file_write): Remove dead code.

	* malloc/obstack.c: Add casts to keep very verbose compilers on
	64bit machine quiet.

	* nss/Makefile (libnss_db.so): Find libdb.so in db2 directory.

1997-08-28 17:30  Ulrich Drepper  <drepper@cygnus.com>

	* catgets/catgets.c (catopen): Correctly determine length of string
	in NLSPATH evironment variable.  Patch by HJ Lu <hjl@gnu.ai.mit.edu>.

1997-08-27 23:19  Richard Henderson  <rth@cygnus.com>

	* sysdeps/generic/dl-sysdep.c (DL_FIND_ARG_COMPONENTS): Provide
	default macro to track down arguments from stack start.
	(_dl_sysdep_start): Use it.
	* sysdeps/unix/sysv/linux/powerpc/dl-sysdep.c: Truncate to simply
	providing a special DL_FIND_ARG_COMPONENTS and including the next
	file up the line.

	* sysdeps/powerpc/e_sqrt.c: Move contents to w_sqrt.c and provide stub.
	* sysdeps/powerpc/e_sqrtf.c: Likewise.
	* sysdeps/powerpc/s_copysignf.S: Provide empty file; symbol is with
	the double precision version.
	* sysdeps/powerpc/s_fabsf.S: Likewise.
	* sysdeps/powerpc/s_isnanf.S: Likewise.

7 files changed, 282 insertions, 277 deletions

diff --git a/sysdeps/powerpc/e_sqrt.c b/sysdeps/powerpc/e_sqrt.c
index df80973f58..9416ea60c8 100644
--- a/sysdeps/powerpc/e_sqrt.c
+++ b/sysdeps/powerpc/e_sqrt.c
@@ -1,141 +1 @@
-/* Single-precision floating point square root.
-   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.  */
-
-#include <math.h>
-#include <math_private.h>
-#include <fenv_libc.h>
-#include <inttypes.h>
-
-static const double almost_half = 0.5000000000000001;  /* 0.5 + 2^-53 */
-static const uint32_t a_nan = 0x7fc00000;
-static const uint32_t a_inf = 0x7f800000;
-static const float two108 = 3.245185536584267269e+32;
-static const float twom54 = 5.551115123125782702e-17;
-extern const float __t_sqrt[1024];
-
-/* The method is based on a description in
-   Computation of elementary functions on the IBM RISC System/6000 processor,
-   P. W. Markstein, IBM J. Res. Develop, 34(1) 1990.
-   Basically, it consists of two interleaved Newton-Rhapson approximations,
-   one to find the actual square root, and one to find its reciprocal
-   without the expense of a division operation.   The tricky bit here
-   is the use of the POWER/PowerPC multiply-add operation to get the
-   required accuracy with high speed.
-
-   The argument reduction works by a combination of table lookup to
-   obtain the initial guesses, and some careful modification of the
-   generated guesses (which mostly runs on the integer unit, while the
-   Newton-Rhapson is running on the FPU).  */
-double
-__sqrt(double x)
-{
-  const float inf = *(const float *)&a_inf;
-  /* x = f_wash(x); *//* This ensures only one exception for SNaN. */
-  if (x > 0)
-    {
-      if (x != inf)
-	{
-	  /* Variables named starting with 's' exist in the
-	     argument-reduced space, so that 2 > sx >= 0.5,
-	     1.41... > sg >= 0.70.., 0.70.. >= sy > 0.35... .
-	     Variables named ending with 'i' are integer versions of
-	     floating-point values.  */
-	  double sx;   /* The value of which we're trying to find the
-			  square root.  */
-	  double sg,g; /* Guess of the square root of x.  */
-	  double sd,d; /* Difference between the square of the guess and x.  */
-	  double sy;   /* Estimate of 1/2g (overestimated by 1ulp).  */
-	  double sy2;  /* 2*sy */
-	  double e;    /* Difference between y*g and 1/2 (se = e * fsy).  */
-	  double shx;  /* == sx * fsg */
-	  double fsg;  /* sg*fsg == g.  */
-	  fenv_t fe;  /* Saved floating-point environment (stores rounding
-			 mode and whether the inexact exception is
-			 enabled).  */
-	  uint32_t xi0, xi1, sxi, fsgi;
-	  const float *t_sqrt;
-
-	  fe = fegetenv_register();
-	  EXTRACT_WORDS (xi0,xi1,x);
-	  relax_fenv_state();
-	  sxi = xi0 & 0x3fffffff | 0x3fe00000;
-	  INSERT_WORDS (sx, sxi, xi1);
-	  t_sqrt = __t_sqrt + (xi0 >> 52-32-8-1  & 0x3fe);
-	  sg = t_sqrt[0];
-	  sy = t_sqrt[1];
-	  
-	  /* Here we have three Newton-Rhapson iterations each of a
-	     division and a square root and the remainder of the
-	     argument reduction, all interleaved.   */
-	  sd  = -(sg*sg - sx);
-	  fsgi = xi0 + 0x40000000 >> 1 & 0x7ff00000;
-	  sy2 = sy + sy;
-	  sg  = sy*sd + sg;  /* 16-bit approximation to sqrt(sx). */
-	  INSERT_WORDS (fsg, fsgi, 0);
-	  e   = -(sy*sg - almost_half);
-	  sd  = -(sg*sg - sx);
-	  if ((xi0 & 0x7ff00000) == 0)
-	    goto denorm;
-	  sy  = sy + e*sy2;
-	  sg  = sg + sy*sd;  /* 32-bit approximation to sqrt(sx).  */
-	  sy2 = sy + sy;
-	  e   = -(sy*sg - almost_half);
-	  sd  = -(sg*sg - sx);
-	  sy  = sy + e*sy2;
-	  shx = sx * fsg;
-	  sg  = sg + sy*sd;  /* 64-bit approximation to sqrt(sx),
-				but perhaps rounded incorrectly.  */
-	  sy2 = sy + sy;
-	  g   = sg * fsg;
-	  e   = -(sy*sg - almost_half);
-	  d   = -(g*sg - shx);
-	  sy  = sy + e*sy2;
-	  fesetenv_register (fe);
-	  return g + sy*d;
-	denorm:
-	  /* For denormalised numbers, we normalise, calculate the
-	     square root, and return an adjusted result.  */
-	  fesetenv_register (fe);
-	  return __sqrt(x * two108) * twom54;
-	}
-    }
-  else if (x < 0)
-    {
-#ifdef FE_INVALID_SQRT
-      feraiseexcept (FE_INVALID_SQRT);
-      /* For some reason, some PowerPC processors don't implement
-	 FE_INVALID_SQRT.  I guess no-one ever thought they'd be
-	 used for square roots... :-) */
-      if (!fetestexcept (FE_INVALID))
-#endif
-	feraiseexcept (FE_INVALID);
-#ifndef _IEEE_LIBM
-      if (_LIB_VERSION != _IEEE_)
-	x = __kernel_standard(x,x,26);
-      else
-#endif
-      x = *(const float*)&a_nan;
-    }
-  return f_wash(x);
-}
-
-weak_alias (__sqrt, sqrt)
-/* Strictly, this is wrong, but the only places where _ieee754_sqrt is
-   used will not pass in a negative result.  */
-strong_alias(__sqrt,__ieee754_sqrt)
+/* __ieee754_sqrt is in w_sqrt.c  */
diff --git a/sysdeps/powerpc/e_sqrtf.c b/sysdeps/powerpc/e_sqrtf.c
index 804dff3c44..01c76d6757 100644
--- a/sysdeps/powerpc/e_sqrtf.c
+++ b/sysdeps/powerpc/e_sqrtf.c
@@ -1,136 +1 @@
-/* Single-precision floating point square root.
-   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.  */
-
-#include <math.h>
-#include <math_private.h>
-#include <fenv_libc.h>
-#include <inttypes.h>
-
-static const float almost_half = 0.50000006;  /* 0.5 + 2^-24 */
-static const uint32_t a_nan = 0x7fc00000;
-static const uint32_t a_inf = 0x7f800000;
-static const float two48 = 281474976710656.0;
-static const float twom24 = 5.9604644775390625e-8;
-extern const float __t_sqrt[1024];
-
-/* The method is based on a description in
-   Computation of elementary functions on the IBM RISC System/6000 processor,
-   P. W. Markstein, IBM J. Res. Develop, 34(1) 1990.
-   Basically, it consists of two interleaved Newton-Rhapson approximations,
-   one to find the actual square root, and one to find its reciprocal
-   without the expense of a division operation.   The tricky bit here
-   is the use of the POWER/PowerPC multiply-add operation to get the
-   required accuracy with high speed.
-
-   The argument reduction works by a combination of table lookup to
-   obtain the initial guesses, and some careful modification of the
-   generated guesses (which mostly runs on the integer unit, while the
-   Newton-Rhapson is running on the FPU).  */
-float
-__sqrtf(float x)
-{
-  const float inf = *(const float *)&a_inf;
-  /* x = f_washf(x); *//* This ensures only one exception for SNaN. */
-  if (x > 0)
-    {
-      if (x != inf)
-	{
-	  /* Variables named starting with 's' exist in the
-	     argument-reduced space, so that 2 > sx >= 0.5,
-	     1.41... > sg >= 0.70.., 0.70.. >= sy > 0.35... .
-	     Variables named ending with 'i' are integer versions of
-	     floating-point values.  */
-	  float sx;   /* The value of which we're trying to find the square
-			 root.  */
-	  float sg,g; /* Guess of the square root of x.  */
-	  float sd,d; /* Difference between the square of the guess and x.  */
-	  float sy;   /* Estimate of 1/2g (overestimated by 1ulp).  */
-	  float sy2;  /* 2*sy */
-	  float e;    /* Difference between y*g and 1/2 (note that e==se).  */
-	  float shx;  /* == sx * fsg */
-	  float fsg;  /* sg*fsg == g.  */
-	  fenv_t fe;  /* Saved floating-point environment (stores rounding
-			 mode and whether the inexact exception is
-			 enabled).  */
-	  uint32_t xi, sxi, fsgi;
-	  const float *t_sqrt;
-
-	  GET_FLOAT_WORD (xi, x);
-	  fe = fegetenv_register ();
-	  relax_fenv_state ();
-	  sxi = xi & 0x3fffffff | 0x3f000000;
-	  SET_FLOAT_WORD (sx, sxi);
-	  t_sqrt = __t_sqrt + (xi >> 23-8-1  & 0x3fe);
-	  sg = t_sqrt[0];
-	  sy = t_sqrt[1];
-	  
-	  /* Here we have three Newton-Rhapson iterations each of a
-	     division and a square root and the remainder of the
-	     argument reduction, all interleaved.   */
-	  sd  = -(sg*sg - sx);
-	  fsgi = xi + 0x40000000 >> 1 & 0x7f800000;
-	  sy2 = sy + sy;
-	  sg  = sy*sd + sg;  /* 16-bit approximation to sqrt(sx). */
-	  e   = -(sy*sg - almost_half);
-	  SET_FLOAT_WORD (fsg, fsgi);
-	  sd  = -(sg*sg - sx);
-	  sy  = sy + e*sy2;
-	  if ((xi & 0x7f800000) == 0)
-	    goto denorm;
-	  shx = sx * fsg;
-	  sg  = sg + sy*sd;  /* 32-bit approximation to sqrt(sx),
-				but perhaps rounded incorrectly.  */
-	  sy2 = sy + sy;
-	  g   = sg * fsg;
-	  e   = -(sy*sg - almost_half);
-	  d   = -(g*sg - shx);
-	  sy  = sy + e*sy2;
-	  fesetenv_register (fe);
-	  return g + sy*d;
-	denorm:
-	  /* For denormalised numbers, we normalise, calculate the
-	     square root, and return an adjusted result.  */
-	  fesetenv_register (fe);
-	  return __sqrtf(x * two48) * twom24;
-	}
-    }
-  else if (x < 0)
-    {
-#ifdef FE_INVALID_SQRT
-      feraiseexcept (FE_INVALID_SQRT);
-      /* For some reason, some PowerPC processors don't implement
-	 FE_INVALID_SQRT.  I guess no-one ever thought they'd be
-	 used for square roots... :-) */
-      if (!fetestexcept (FE_INVALID))
-#endif
-	feraiseexcept (FE_INVALID);
-#ifndef _IEEE_LIBM
-      if (_LIB_VERSION != _IEEE_)
-	x = __kernel_standard(x,x,126);
-      else
-#endif
-      x = *(const float*)&a_nan;
-    }
-  return f_washf(x);
-}
-
-weak_alias (__sqrtf, sqrtf)
-/* Strictly, this is wrong, but the only places where _ieee754_sqrt is
-   used will not pass in a negative result.  */
-strong_alias(__sqrtf,__ieee754_sqrtf)
+/* __ieee754_sqrtf is in w_sqrtf.c  */
diff --git a/sysdeps/powerpc/s_copysignf.S b/sysdeps/powerpc/s_copysignf.S
new file mode 100644
index 0000000000..e05438ae7d
--- /dev/null
+++ b/sysdeps/powerpc/s_copysignf.S
@@ -0,0 +1 @@
+/* __copysignf is in s_copysign.S  */
diff --git a/sysdeps/powerpc/s_fabsf.S b/sysdeps/powerpc/s_fabsf.S
new file mode 100644
index 0000000000..877c710ce8
--- /dev/null
+++ b/sysdeps/powerpc/s_fabsf.S
@@ -0,0 +1 @@
+/* __fabsf is in s_fabs.S  */
diff --git a/sysdeps/powerpc/s_isnanf.S b/sysdeps/powerpc/s_isnanf.S
new file mode 100644
index 0000000000..fc22f678a1
--- /dev/null
+++ b/sysdeps/powerpc/s_isnanf.S
@@ -0,0 +1 @@
+/* __isnanf is in s_isnan.c  */
diff --git a/sysdeps/powerpc/w_sqrt.c b/sysdeps/powerpc/w_sqrt.c
new file mode 100644
index 0000000000..df80973f58
--- /dev/null
+++ b/sysdeps/powerpc/w_sqrt.c
@@ -0,0 +1,141 @@
+/* Single-precision floating point square root.
+   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.  */
+
+#include <math.h>
+#include <math_private.h>
+#include <fenv_libc.h>
+#include <inttypes.h>
+
+static const double almost_half = 0.5000000000000001;  /* 0.5 + 2^-53 */
+static const uint32_t a_nan = 0x7fc00000;
+static const uint32_t a_inf = 0x7f800000;
+static const float two108 = 3.245185536584267269e+32;
+static const float twom54 = 5.551115123125782702e-17;
+extern const float __t_sqrt[1024];
+
+/* The method is based on a description in
+   Computation of elementary functions on the IBM RISC System/6000 processor,
+   P. W. Markstein, IBM J. Res. Develop, 34(1) 1990.
+   Basically, it consists of two interleaved Newton-Rhapson approximations,
+   one to find the actual square root, and one to find its reciprocal
+   without the expense of a division operation.   The tricky bit here
+   is the use of the POWER/PowerPC multiply-add operation to get the
+   required accuracy with high speed.
+
+   The argument reduction works by a combination of table lookup to
+   obtain the initial guesses, and some careful modification of the
+   generated guesses (which mostly runs on the integer unit, while the
+   Newton-Rhapson is running on the FPU).  */
+double
+__sqrt(double x)
+{
+  const float inf = *(const float *)&a_inf;
+  /* x = f_wash(x); *//* This ensures only one exception for SNaN. */
+  if (x > 0)
+    {
+      if (x != inf)
+	{
+	  /* Variables named starting with 's' exist in the
+	     argument-reduced space, so that 2 > sx >= 0.5,
+	     1.41... > sg >= 0.70.., 0.70.. >= sy > 0.35... .
+	     Variables named ending with 'i' are integer versions of
+	     floating-point values.  */
+	  double sx;   /* The value of which we're trying to find the
+			  square root.  */
+	  double sg,g; /* Guess of the square root of x.  */
+	  double sd,d; /* Difference between the square of the guess and x.  */
+	  double sy;   /* Estimate of 1/2g (overestimated by 1ulp).  */
+	  double sy2;  /* 2*sy */
+	  double e;    /* Difference between y*g and 1/2 (se = e * fsy).  */
+	  double shx;  /* == sx * fsg */
+	  double fsg;  /* sg*fsg == g.  */
+	  fenv_t fe;  /* Saved floating-point environment (stores rounding
+			 mode and whether the inexact exception is
+			 enabled).  */
+	  uint32_t xi0, xi1, sxi, fsgi;
+	  const float *t_sqrt;
+
+	  fe = fegetenv_register();
+	  EXTRACT_WORDS (xi0,xi1,x);
+	  relax_fenv_state();
+	  sxi = xi0 & 0x3fffffff | 0x3fe00000;
+	  INSERT_WORDS (sx, sxi, xi1);
+	  t_sqrt = __t_sqrt + (xi0 >> 52-32-8-1  & 0x3fe);
+	  sg = t_sqrt[0];
+	  sy = t_sqrt[1];
+	  
+	  /* Here we have three Newton-Rhapson iterations each of a
+	     division and a square root and the remainder of the
+	     argument reduction, all interleaved.   */
+	  sd  = -(sg*sg - sx);
+	  fsgi = xi0 + 0x40000000 >> 1 & 0x7ff00000;
+	  sy2 = sy + sy;
+	  sg  = sy*sd + sg;  /* 16-bit approximation to sqrt(sx). */
+	  INSERT_WORDS (fsg, fsgi, 0);
+	  e   = -(sy*sg - almost_half);
+	  sd  = -(sg*sg - sx);
+	  if ((xi0 & 0x7ff00000) == 0)
+	    goto denorm;
+	  sy  = sy + e*sy2;
+	  sg  = sg + sy*sd;  /* 32-bit approximation to sqrt(sx).  */
+	  sy2 = sy + sy;
+	  e   = -(sy*sg - almost_half);
+	  sd  = -(sg*sg - sx);
+	  sy  = sy + e*sy2;
+	  shx = sx * fsg;
+	  sg  = sg + sy*sd;  /* 64-bit approximation to sqrt(sx),
+				but perhaps rounded incorrectly.  */
+	  sy2 = sy + sy;
+	  g   = sg * fsg;
+	  e   = -(sy*sg - almost_half);
+	  d   = -(g*sg - shx);
+	  sy  = sy + e*sy2;
+	  fesetenv_register (fe);
+	  return g + sy*d;
+	denorm:
+	  /* For denormalised numbers, we normalise, calculate the
+	     square root, and return an adjusted result.  */
+	  fesetenv_register (fe);
+	  return __sqrt(x * two108) * twom54;
+	}
+    }
+  else if (x < 0)
+    {
+#ifdef FE_INVALID_SQRT
+      feraiseexcept (FE_INVALID_SQRT);
+      /* For some reason, some PowerPC processors don't implement
+	 FE_INVALID_SQRT.  I guess no-one ever thought they'd be
+	 used for square roots... :-) */
+      if (!fetestexcept (FE_INVALID))
+#endif
+	feraiseexcept (FE_INVALID);
+#ifndef _IEEE_LIBM
+      if (_LIB_VERSION != _IEEE_)
+	x = __kernel_standard(x,x,26);
+      else
+#endif
+      x = *(const float*)&a_nan;
+    }
+  return f_wash(x);
+}
+
+weak_alias (__sqrt, sqrt)
+/* Strictly, this is wrong, but the only places where _ieee754_sqrt is
+   used will not pass in a negative result.  */
+strong_alias(__sqrt,__ieee754_sqrt)
diff --git a/sysdeps/powerpc/w_sqrtf.c b/sysdeps/powerpc/w_sqrtf.c
new file mode 100644
index 0000000000..804dff3c44
--- /dev/null
+++ b/sysdeps/powerpc/w_sqrtf.c
@@ -0,0 +1,136 @@
+/* Single-precision floating point square root.
+   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.  */
+
+#include <math.h>
+#include <math_private.h>
+#include <fenv_libc.h>
+#include <inttypes.h>
+
+static const float almost_half = 0.50000006;  /* 0.5 + 2^-24 */
+static const uint32_t a_nan = 0x7fc00000;
+static const uint32_t a_inf = 0x7f800000;
+static const float two48 = 281474976710656.0;
+static const float twom24 = 5.9604644775390625e-8;
+extern const float __t_sqrt[1024];
+
+/* The method is based on a description in
+   Computation of elementary functions on the IBM RISC System/6000 processor,
+   P. W. Markstein, IBM J. Res. Develop, 34(1) 1990.
+   Basically, it consists of two interleaved Newton-Rhapson approximations,
+   one to find the actual square root, and one to find its reciprocal
+   without the expense of a division operation.   The tricky bit here
+   is the use of the POWER/PowerPC multiply-add operation to get the
+   required accuracy with high speed.
+
+   The argument reduction works by a combination of table lookup to
+   obtain the initial guesses, and some careful modification of the
+   generated guesses (which mostly runs on the integer unit, while the
+   Newton-Rhapson is running on the FPU).  */
+float
+__sqrtf(float x)
+{
+  const float inf = *(const float *)&a_inf;
+  /* x = f_washf(x); *//* This ensures only one exception for SNaN. */
+  if (x > 0)
+    {
+      if (x != inf)
+	{
+	  /* Variables named starting with 's' exist in the
+	     argument-reduced space, so that 2 > sx >= 0.5,
+	     1.41... > sg >= 0.70.., 0.70.. >= sy > 0.35... .
+	     Variables named ending with 'i' are integer versions of
+	     floating-point values.  */
+	  float sx;   /* The value of which we're trying to find the square
+			 root.  */
+	  float sg,g; /* Guess of the square root of x.  */
+	  float sd,d; /* Difference between the square of the guess and x.  */
+	  float sy;   /* Estimate of 1/2g (overestimated by 1ulp).  */
+	  float sy2;  /* 2*sy */
+	  float e;    /* Difference between y*g and 1/2 (note that e==se).  */
+	  float shx;  /* == sx * fsg */
+	  float fsg;  /* sg*fsg == g.  */
+	  fenv_t fe;  /* Saved floating-point environment (stores rounding
+			 mode and whether the inexact exception is
+			 enabled).  */
+	  uint32_t xi, sxi, fsgi;
+	  const float *t_sqrt;
+
+	  GET_FLOAT_WORD (xi, x);
+	  fe = fegetenv_register ();
+	  relax_fenv_state ();
+	  sxi = xi & 0x3fffffff | 0x3f000000;
+	  SET_FLOAT_WORD (sx, sxi);
+	  t_sqrt = __t_sqrt + (xi >> 23-8-1  & 0x3fe);
+	  sg = t_sqrt[0];
+	  sy = t_sqrt[1];
+	  
+	  /* Here we have three Newton-Rhapson iterations each of a
+	     division and a square root and the remainder of the
+	     argument reduction, all interleaved.   */
+	  sd  = -(sg*sg - sx);
+	  fsgi = xi + 0x40000000 >> 1 & 0x7f800000;
+	  sy2 = sy + sy;
+	  sg  = sy*sd + sg;  /* 16-bit approximation to sqrt(sx). */
+	  e   = -(sy*sg - almost_half);
+	  SET_FLOAT_WORD (fsg, fsgi);
+	  sd  = -(sg*sg - sx);
+	  sy  = sy + e*sy2;
+	  if ((xi & 0x7f800000) == 0)
+	    goto denorm;
+	  shx = sx * fsg;
+	  sg  = sg + sy*sd;  /* 32-bit approximation to sqrt(sx),
+				but perhaps rounded incorrectly.  */
+	  sy2 = sy + sy;
+	  g   = sg * fsg;
+	  e   = -(sy*sg - almost_half);
+	  d   = -(g*sg - shx);
+	  sy  = sy + e*sy2;
+	  fesetenv_register (fe);
+	  return g + sy*d;
+	denorm:
+	  /* For denormalised numbers, we normalise, calculate the
+	     square root, and return an adjusted result.  */
+	  fesetenv_register (fe);
+	  return __sqrtf(x * two48) * twom24;
+	}
+    }
+  else if (x < 0)
+    {
+#ifdef FE_INVALID_SQRT
+      feraiseexcept (FE_INVALID_SQRT);
+      /* For some reason, some PowerPC processors don't implement
+	 FE_INVALID_SQRT.  I guess no-one ever thought they'd be
+	 used for square roots... :-) */
+      if (!fetestexcept (FE_INVALID))
+#endif
+	feraiseexcept (FE_INVALID);
+#ifndef _IEEE_LIBM
+      if (_LIB_VERSION != _IEEE_)
+	x = __kernel_standard(x,x,126);
+      else
+#endif
+      x = *(const float*)&a_nan;
+    }
+  return f_washf(x);
+}
+
+weak_alias (__sqrtf, sqrtf)
+/* Strictly, this is wrong, but the only places where _ieee754_sqrt is
+   used will not pass in a negative result.  */
+strong_alias(__sqrtf,__ieee754_sqrtf)