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authorRoland McGrath <roland@gnu.org>1995-10-16 01:37:51 +0000
committerRoland McGrath <roland@gnu.org>1995-10-16 01:37:51 +0000
commit8f5ca04bc7fd53741d80117df992995ace8f6d2d (patch)
treee39c13fc198b22ec55647259a8080051988e8c69 /stdio/_itoa.c
parent5d82cf5c55f56ae10d3b0a205d1fcc7de1cf56a0 (diff)
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Sat Oct 14 02:52:36 1995 Ulrich Drepper <drepper@ipd.info.uni-karlsruhe.de>
	* malloc/malloc.c (_malloc_internal): Performance fix.  Move
	if statement out of loop.

	* stdio/_itoa.c, stdio/_itoa.h: Complete rewrite.  Much faster
	implementation using GMP functions.  Contributed by
	Torbjorn Granlund and Ulrich Drepper.

	* stdio/test_rdwr.c: Include <errno.h>.

	* sysdeps/i386/i586/Implies: New file.

	New highly optimized string functions for i[345]86.
	* sysdeps/i386/memchr.S, sysdeps/i386/memcmp.S: New files.
        * sysdeps/i386/stpcpy.S, sysdeps/i386/stpncpy.S: New files.
        * sysdeps/i386/strchr.S, sysdeps/i386/strcspn.S: New files.
        * sysdeps/i386/strpbrk.S, sysdeps/i386/strrchr.S: New files.
        * sysdeps/i386/strspn.S, sysdeps/i386/i486/strcat.S: New files.
        * sysdeps/i386/i486/strlen.S, sysdeps/i386/i586/strchr.S: New files.
        * sysdeps/i386/i586/strlen.S: New file.
	* sysdeps/i386/memchr.c: Removed.  There is now an assembler version.

	* sysdeps/i386/i586/memcopy.h (WORD_COPY_BWD): Parameters did
	not correspond to used values.

	* sysdeps/unix/sysv/linux/nfs/nfs.h: New file.  Simply a wrapper
        around a kernel header file.
	* sysdeps/unix/sysv/linux/Dist: Add it.
	* sysdeps/unix/sysv/linux/Makefile [$(subdir)=sunrpc] (headers):
	Likewise.

	* sysdeps/unix/sysv/linux/local_lim.h: Rewrite.  Instead of
        defining ourself we use a kernel header file.

	* sysdeps/unix/sysv/linux/i386/sysdep.h (DO_CALL): Optimize system
        call handler for i586.

	* sysdeps/unix/sysv/linux/sys/param.h: Add copyright and clean up.
Sat Oct 14 02:52:36 1995  Ulrich Drepper  <drepper@ipd.info.uni-karlsruhe.de>

	* malloc/malloc.c (_malloc_internal): Performance fix.  Move
	if statement out of loop.

	* stdio/_itoa.c, stdio/_itoa.h: Complete rewrite.  Much faster
	implementation using GMP functions.  Contributed by
	Torbjorn Granlund and Ulrich Drepper.

	* stdio/test_rdwr.c: Include <errno.h>.

	* sysdeps/i386/i586/Implies: New file.

	New highly optimized string functions for i[345]86.
	* sysdeps/i386/memchr.S, sysdeps/i386/memcmp.S: New files.
        * sysdeps/i386/stpcpy.S, sysdeps/i386/stpncpy.S: New files.
        * sysdeps/i386/strchr.S, sysdeps/i386/strcspn.S: New files.
        * sysdeps/i386/strpbrk.S, sysdeps/i386/strrchr.S: New files.
        * sysdeps/i386/strspn.S, sysdeps/i386/i486/strcat.S: New files.
        * sysdeps/i386/i486/strlen.S, sysdeps/i386/i586/strchr.S: New files.
        * sysdeps/i386/i586/strlen.S: New file.
	* sysdeps/i386/memchr.c: Removed.  There is now an assembler version.

	* sysdeps/i386/i586/memcopy.h (WORD_COPY_BWD): Parameters did
	not correspond to used values.

	* sysdeps/unix/sysv/linux/nfs/nfs.h: New file.  Simply a wrapper
        around a kernel header file.
	* sysdeps/unix/sysv/linux/Dist: Add it.
	* sysdeps/unix/sysv/linux/Makefile [$(subdir)=sunrpc] (headers):
	Likewise.

	* sysdeps/unix/sysv/linux/local_lim.h: Rewrite.  Instead of
        defining ourself we use a kernel header file.

	* sysdeps/unix/sysv/linux/i386/sysdep.h (DO_CALL): Optimize system
        call handler for i586.

	* sysdeps/unix/sysv/linux/sys/param.h: Add copyright and clean up.
Diffstat (limited to 'stdio/_itoa.c')
-rw-r--r--stdio/_itoa.c401
1 files changed, 395 insertions, 6 deletions
diff --git a/stdio/_itoa.c b/stdio/_itoa.c
index 19e732dcfe..caa8179624 100644
--- a/stdio/_itoa.c
+++ b/stdio/_itoa.c
@@ -1,6 +1,8 @@
 /* Internal function for converting integers to ASCII.
 Copyright (C) 1994, 1995 Free Software Foundation, Inc.
 This file is part of the GNU C Library.
+Contributed by Torbjorn Granlund <tege@matematik.su.se>
+and Ulrich Drepper <drepper@gnu.ai.mit.edu>.
 
 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
@@ -17,13 +19,400 @@ License along with the GNU C Library; see the file COPYING.LIB.  If
 not, write to the Free Software Foundation, Inc., 675 Mass Ave,
 Cambridge, MA 02139, USA.  */
 
+#include <gmp-mparam.h>
+#include "../stdlib/gmp.h"
+#include "../stdlib/gmp-impl.h"
+#include "../stdlib/longlong.h"
+
+#include "_itoa.h"
+
+
+/* Canonize environment.  For some architectures not all values might
+   be defined in the GMP header files.  */
+#ifndef UMUL_TIME
+# define UMUL_TIME 1
+#endif
+#ifndef UDIV_TIME
+# define UDIV_TIME 1
+#endif
+
+/* Control memory layout.  */
+#ifdef PACK
+# undef PACK
+# define PACK __attribute__ ((packed))
+#else
+# define PACK
+#endif
+
+
+/* Declare local types.  */
+struct base_table_t
+{
+#if (UDIV_TIME > 2 * UMUL_TIME)
+  mp_limb base_multiplier;
+#endif
+  char flag;
+  char post_shift;
+#if BITS_PER_MP_LIMB == 32
+  struct
+    {
+      char normalization_steps;
+      char ndigits;
+      mp_limb base PACK;
+#if UDIV_TIME > 2 * UMUL_TIME
+      mp_limb base_ninv PACK;
+#endif
+    } big;
+#endif
+};
+
+/* To reduce the memory needed we include some fields of the tables
+   only confitionally.  */
+#if BITS_PER_MP_LIMB == 32
+# if UDIV_TIME > 2 * UMUL_TIME
+#  define SEL1(X) X,
+#  define SEL2(X) ,X
+# else
+#  define SEL1(X)
+#  define SEL2(X)
+# endif
+#endif
+
+
+/* Local variables.  */
+static const struct base_table_t base_table[] =
+{
+#if BITS_PER_MP_LIMB == 64
+  /*  2 */ {0ul, 1, 1},
+  /*  3 */ {0xaaaaaaaaaaaaaaabul, 0, 1},
+  /*  4 */ {0ul, 1, 2},
+  /*  5 */ {0xcccccccccccccccdul, 0, 2},
+  /*  6 */ {0xaaaaaaaaaaaaaaabul, 0, 2},
+  /*  7 */ {0x2492492492492493ul, 1, 3},
+  /*  8 */ {0ul, 1, 3},
+  /*  9 */ {0xe38e38e38e38e38ful, 0, 3},
+  /* 10 */ {0xcccccccccccccccdul, 0, 3},
+  /* 11 */ {0x2e8ba2e8ba2e8ba3ul, 0, 1},
+  /* 12 */ {0xaaaaaaaaaaaaaaabul, 0, 3},
+  /* 13 */ {0x4ec4ec4ec4ec4ec5ul, 0, 2},
+  /* 14 */ {0x2492492492492493ul, 1, 4},
+  /* 15 */ {0x8888888888888889ul, 0, 3},
+  /* 16 */ {0ul, 1, 4},
+  /* 17 */ {0xf0f0f0f0f0f0f0f1ul, 0, 4},
+  /* 18 */ {0xe38e38e38e38e38ful, 0, 4},
+  /* 19 */ {0xd79435e50d79435ful, 0, 4},
+  /* 20 */ {0xcccccccccccccccdul, 0, 4},
+  /* 21 */ {0x8618618618618619ul, 1, 5},
+  /* 22 */ {0x2e8ba2e8ba2e8ba3ul, 0, 2},
+  /* 23 */ {0x642c8590b21642c9ul, 1, 5},
+  /* 24 */ {0xaaaaaaaaaaaaaaabul, 0, 4},
+  /* 25 */ {0x47ae147ae147ae15ul, 1, 5},
+  /* 26 */ {0x4ec4ec4ec4ec4ec5ul, 0, 3},
+  /* 27 */ {0x97b425ed097b425ful, 0, 4},
+  /* 28 */ {0x2492492492492493ul, 1, 5},
+  /* 29 */ {0x1a7b9611a7b9611bul, 1, 5},
+  /* 30 */ {0x8888888888888889ul, 0, 4},
+  /* 31 */ {0x0842108421084211ul, 1, 5},
+  /* 32 */ {0ul, 1, 5},
+  /* 33 */ {0x0f83e0f83e0f83e1ul, 0, 1},
+  /* 34 */ {0xf0f0f0f0f0f0f0f1ul, 0, 5},
+  /* 35 */ {0xea0ea0ea0ea0ea0ful, 0, 5},
+  /* 36 */ {0xe38e38e38e38e38ful, 0, 5}
+#endif
+#if BITS_PER_MP_LIMB == 32
+  /*  2 */ {SEL1(0ul) 1, 1, {0, 31, 0x80000000ul SEL2(0xfffffffful)}},
+  /*  3 */ {SEL1(0xaaaaaaabul) 0, 1, {0, 20, 0xcfd41b91ul SEL2(0x3b563c24ul)}},
+  /*  4 */ {SEL1(0ul) 1, 2, {1, 15, 0x40000000ul SEL2(0xfffffffful)}},
+  /*  5 */ {SEL1(0xcccccccdul) 0, 2, {1, 13, 0x48c27395ul SEL2(0xc25c2684ul)}},
+  /*  6 */ {SEL1(0xaaaaaaabul) 0, 2, {0, 12, 0x81bf1000ul SEL2(0xf91bd1b6ul)}},
+  /*  7 */ {SEL1(0x24924925ul) 1, 3, {1, 11, 0x75db9c97ul SEL2(0x1607a2cbul)}},
+  /*  8 */ {SEL1(0ul) 1, 3, {1, 10, 0x40000000ul SEL2(0xfffffffful)}},
+  /*  9 */ {SEL1(0x38e38e39ul) 0, 1, {0, 10, 0xcfd41b91ul SEL2(0x3b563c24ul)}},
+  /* 10 */ {SEL1(0xcccccccdul) 0, 3, {2, 9, 0x3b9aca00ul SEL2(0x12e0be82ul)}},
+  /* 11 */ {SEL1(0xba2e8ba3ul) 0, 3, {0, 9, 0x8c8b6d2bul SEL2(0xd24cde04ul)}},
+  /* 12 */ {SEL1(0xaaaaaaabul) 0, 3, {3, 8, 0x19a10000ul SEL2(0x3fa39ab5ul)}},
+  /* 13 */ {SEL1(0x4ec4ec4ful) 0, 2, {2, 8, 0x309f1021ul SEL2(0x50f8ac5ful)}},
+  /* 14 */ {SEL1(0x24924925ul) 1, 4, {1, 8, 0x57f6c100ul SEL2(0x74843b1eul)}},
+  /* 15 */ {SEL1(0x88888889ul) 0, 3, {0, 8, 0x98c29b81ul SEL2(0xad0326c2ul)}},
+  /* 16 */ {SEL1(0ul) 1, 4, {3, 7, 0x10000000ul SEL2(0xfffffffful)}},
+  /* 17 */ {SEL1(0xf0f0f0f1ul) 0, 4, {3, 7, 0x18754571ul SEL2(0x4ef0b6bdul)}},
+  /* 18 */ {SEL1(0x38e38e39ul) 0, 2, {2, 7, 0x247dbc80ul SEL2(0xc0fc48a1ul)}},
+  /* 19 */ {SEL1(0xaf286bcbul) 1, 5, {2, 7, 0x3547667bul SEL2(0x33838942ul)}},
+  /* 20 */ {SEL1(0xcccccccdul) 0, 4, {1, 7, 0x4c4b4000ul SEL2(0xad7f29abul)}},
+  /* 21 */ {SEL1(0x86186187ul) 1, 5, {1, 7, 0x6b5a6e1dul SEL2(0x313c3d15ul)}},
+  /* 22 */ {SEL1(0xba2e8ba3ul) 0, 4, {0, 7, 0x94ace180ul SEL2(0xb8cca9e0ul)}},
+  /* 23 */ {SEL1(0xb21642c9ul) 0, 4, {0, 7, 0xcaf18367ul SEL2(0x42ed6de9ul)}},
+  /* 24 */ {SEL1(0xaaaaaaabul) 0, 4, {4, 6, 0x0b640000ul SEL2(0x67980e0bul)}},
+  /* 25 */ {SEL1(0x51eb851ful) 0, 3, {4, 6, 0x0e8d4a51ul SEL2(0x19799812ul)}},
+  /* 26 */ {SEL1(0x4ec4ec4ful) 0, 3, {3, 6, 0x1269ae40ul SEL2(0xbce85396ul)}},
+  /* 27 */ {SEL1(0x2f684bdbul) 1, 5, {3, 6, 0x17179149ul SEL2(0x62c103a9ul)}},
+  /* 28 */ {SEL1(0x24924925ul) 1, 5, {3, 6, 0x1cb91000ul SEL2(0x1d353d43ul)}},
+  /* 29 */ {SEL1(0x8d3dcb09ul) 0, 4, {2, 6, 0x23744899ul SEL2(0xce1deceaul)}},
+  /* 30 */ {SEL1(0x88888889ul) 0, 4, {2, 6, 0x2b73a840ul SEL2(0x790fc511ul)}},
+  /* 31 */ {SEL1(0x08421085ul) 1, 5, {2, 6, 0x34e63b41ul SEL2(0x35b865a0ul)}},
+  /* 32 */ {SEL1(0ul) 1, 5, {1, 6, 0x40000000ul SEL2(0xfffffffful)}},
+  /* 33 */ {SEL1(0x3e0f83e1ul) 0, 3, {1, 6, 0x4cfa3cc1ul SEL2(0xa9aed1b3ul)}},
+  /* 34 */ {SEL1(0xf0f0f0f1ul) 0, 5, {1, 6, 0x5c13d840ul SEL2(0x63dfc229ul)}},
+  /* 35 */ {SEL1(0xd41d41d5ul) 1, 6, {1, 6, 0x6d91b519ul SEL2(0x2b0fee30ul)}},
+  /* 36 */ {SEL1(0x38e38e39ul) 0, 3, {0, 6, 0x81bf1000ul SEL2(0xf91bd1b6ul)}}
+#endif
+};
+
 /* Lower-case digits.  */
-const char _itoa_lower_digits[] = "0123456789abcdefghijklmnopqrstuvwxyz";
+static const char _itoa_lower_digits[]
+	= "0123456789abcdefghijklmnopqrstuvwxyz";
 /* Upper-case digits.  */
-const char _itoa_upper_digits[] = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+static const char _itoa_upper_digits[]
+	= "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
 
-/* Cause _itoa.h to define _itoa as a real function instead of an
-   `extern inline'.  */
-#define _EXTERN_INLINE /* empty */
 
-#include "_itoa.h"
+char *
+_itoa (value, buflim, base, upper_case)
+     unsigned long long int value;
+     char *buflim;
+     unsigned int base;
+     int upper_case;
+{
+  const char *digits = upper_case ? _itoa_upper_digits : _itoa_lower_digits;
+  char *bp = buflim;
+  const struct base_table_t *brec = &base_table[base - 2];
+
+  switch (base)
+    {
+#define RUN_2N(BITS)							  \
+      do								  \
+        {								  \
+	  /* `unsigned long long int' always has 64 bits.  */		  \
+	  mp_limb work_hi = value >> (64 - BITS_PER_MP_LIMB);		  \
+									  \
+	  if (BITS_PER_MP_LIMB == 32)					  \
+	    if (work_hi != 0)						  \
+	      {								  \
+		mp_limb work_lo;					  \
+		int cnt;						  \
+									  \
+		work_lo = value & 0xfffffffful;				  \
+		for (cnt = BITS_PER_MP_LIMB / BITS; cnt > 0; --cnt)	  \
+		  {							  \
+		    *--bp = digits[work_lo & ((1ul << BITS) - 1)];	  \
+		    work_lo >>= BITS;					  \
+		  }							  \
+		if (BITS_PER_MP_LIMB % BITS != 0)			  \
+		  {							  \
+		    work_lo |= ((work_hi				  \
+				 & ((1 << BITS - BITS_PER_MP_LIMB % BITS) \
+				    - 1))				  \
+				<< BITS_PER_MP_LIMB % BITS);		  \
+		    *--bp = digits[work_lo];				  \
+		    work_hi >>= BITS - BITS_PER_MP_LIMB % BITS;		  \
+		  }							  \
+	      }								  \
+	    else							  \
+	      work_hi = value & 0xfffffffful;				  \
+	  do								  \
+	    {								  \
+	      *--bp = digits[work_hi & ((1 << BITS) - 1)];		  \
+	      work_hi >>= BITS;						  \
+	    }								  \
+	  while (work_hi != 0);						  \
+	}								  \
+      while (0)
+    case 8:
+      RUN_2N (3);
+      break;
+
+    case 16:
+      RUN_2N (4);
+      break;
+
+    default:
+      {
+#if BITS_PER_MP_LIMB == 64
+	mp_limb base_multiplier = brec->base_multiplier;
+	if (brec->flag)
+	  while (value != 0)
+	    {
+	      mp_limb quo, rem, x, dummy;
+
+	      umul_ppmm (x, dummy, value, base_multiplier);
+	      quo = (x + ((value - x) >> 1)) >> (brec->post_shift - 1);
+	      rem = value - quo * base;
+	      *--bp = digits[rem];
+	      value = quo;
+	    }
+	else
+	  while (value != 0)
+	    {
+	      mp_limb quo, rem, x, dummy;
+
+	      umul_ppmm (x, dummy, value, base_multiplier);
+	      quo = x >> brec->post_shift;
+	      rem = value - quo * base;
+	      *--bp = digits[rem];
+	      value = quo;
+	    }
+#endif
+#if BITS_PER_MP_LIMB == 32
+	mp_limb t[3];
+	int n;
+
+	/* First convert x0 to 1-3 words in base s->big.base.
+	   Optimize for frequent cases of 32 bit numbers.  */
+	if ((mp_limb) (value >> 32) >= 1)
+	  {
+	    int big_normalization_steps = brec->big.normalization_steps;
+	    mp_limb big_base_norm = brec->big.base << big_normalization_steps;
+
+	    if ((mp_limb) (value >> 32) >= brec->big.base)
+	      {
+		mp_limb x1hi, x1lo, r;
+		/* If you want to optimize this, take advantage of
+		   that the quotient in the first udiv_qrnnd will
+		   always be very small.  It might be faster just to
+		   subtract in a tight loop.  */
+
+#if UDIV_TIME > 2 * UMUL_TIME
+		mp_limb x, xh, xl;
+
+		if (big_normalization_steps == 0)
+		  xh = 0;
+		else
+		  xh = (mp_limb) (value >> 64 - big_normalization_steps);
+		xl = (mp_limb) (value >> 32 - big_normalization_steps);
+		udiv_qrnnd_preinv (x1hi, r, xh, xl, big_base_norm,
+				   brec->big.base_ninv);
+
+		xl = ((mp_limb) value) << big_normalization_steps;
+		udiv_qrnnd_preinv (x1lo, x, r, xl, big_base_norm,
+				   big_normalization_steps);
+		t[2] = x >> big_normalization_steps;
+
+		if (big_normalization_steps == 0)
+		  xh = x1hi;
+		else
+		  xh = ((x1hi << big_normalization_steps)
+			| (x1lo >> 32 - big_normalization_steps));
+		xl = x1lo << big_normalization_steps;
+		udiv_qrnnd_preinv (t[0], x, xh, xl, big_base_norm,
+				   big_normalization_steps);
+		t[1] = x >> big_normalization_steps;
+#elif UDIV_NEEDS_NORMALIZATION
+		mp_limb x, xh, xl;
+
+		if (big_normalization_steps == 0)
+		  xh = 0;
+		else
+		  xh = (mp_limb) (value >> 64 - big_normalization_steps);
+		xl = (mp_limb) (value >> 32 - big_normalization_steps);
+		udiv_qrnnd (x1hi, r, xh, xl, big_base_norm);
+
+		xl = ((mp_limb) value) << big_normalization_steps;
+		udiv_qrnnd (x1lo, x, r, xl, big_base_norm);
+		t[2] = x >> big_normalization_steps;
+
+		if (big_normalization_steps == 0)
+		  xh = x1hi;
+		else
+		  xh = ((x1hi << big_normalization_steps)
+			| (x1lo >> 32 - big_normalization_steps));
+		xl = x1lo << big_normalization_steps;
+		udiv_qrnnd (t[0], x, xh, xl, big_base_norm);
+		t[1] = x >> big_normalization_steps;
+#else
+		udiv_qrnnd (x1hi, r, 0, (mp_limb) (value >> 32),
+			    brec->big.base);
+		udiv_qrnnd (x1lo, t[2], r, (mp_limb) value, brec->big.base);
+		udiv_qrnnd (t[0], t[1], x1hi, x1lo, brec->big.base);
+#endif
+		n = 3;
+	      }
+	    else
+	      {
+#if (UDIV_TIME > 2 * UMUL_TIME)
+		mp_limb x;
+
+		value <<= brec->big.normalization_steps;
+		udiv_qrnnd_preinv (t[0], x, (mp_limb) (value >> 32),
+				   (mp_limb) value, big_base_norm,
+				   brec->big.base_ninv);
+		t[1] = x >> brec->big.normalization_steps;
+#elif UDIV_NEEDS_NORMALIZATION
+		mp_limb x;
+
+		value <<= big_normalization_steps;
+		udiv_qrnnd (t[0], x, (mp_limb) (value >> 32),
+			    (mp_limb) value, big_base_norm);
+		t[1] = x >> big_normalization_steps;
+#else
+		udiv_qrnnd (t[0], t[1], (mp_limb) (value >> 32),
+			    (mp_limb) value, brec->big.base);
+#endif
+		n = 2;
+	      }
+	  }
+	else
+	  {
+	    t[0] = value;
+	    n = 1;
+	  }
+
+	/* Convert the 1-3 words in t[], word by word, to ASCII.  */
+	do
+	  {
+	    mp_limb ti = t[--n];
+	    int ndig_for_this_limb = 0;
+
+#if UDIV_TIME > 2 * UMUL_TIME
+	    mp_limb base_multiplier = brec->base_multiplier;
+	    if (brec->flag)
+	      while (ti != 0)
+		{
+		  mp_limb quo, rem, x, dummy;
+
+		  umul_ppmm (x, dummy, ti, base_multiplier);
+		  quo = (x + ((ti - x) >> 1)) >> (brec->post_shift - 1);
+		  rem = ti - quo * base;
+		  *--bp = digits[rem];
+		  ti = quo;
+		  ++ndig_for_this_limb;
+		}
+	    else
+	      while (ti != 0)
+		{
+		  mp_limb quo, rem, x, dummy;
+
+		  umul_ppmm (x, dummy, ti, base_multiplier);
+		  quo = x >> brec->post_shift;
+		  rem = ti - quo * base;
+		  *--bp = digits[rem];
+		  ti = quo;
+		  ++ndig_for_this_limb;
+		}
+#else
+	    while (ti != 0)
+	      {
+		mp_limb quo, rem;
+
+		quo = ti / base;
+		rem = ti % base;
+		*--bp = digits[rem];
+		ti = quo;
+		++ndig_for_this_limb;
+	      }
+#endif
+	    /* If this wasn't the most significant word, pad with zeros.  */
+	    if (n != 0)
+	      while (ndig_for_this_limb < brec->big.ndigits)
+		{
+		  *--bp = '0';
+		  ++ndig_for_this_limb;
+		}
+	  }
+	while (n != 0);
+#endif
+      }
+      break;
+    }
+
+  return bp;
+}