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-rw-r--r--gcc-4.9/libquadmath/printf/printf_fp.c1318
1 files changed, 1318 insertions, 0 deletions
diff --git a/gcc-4.9/libquadmath/printf/printf_fp.c b/gcc-4.9/libquadmath/printf/printf_fp.c
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+++ b/gcc-4.9/libquadmath/printf/printf_fp.c
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+/* Floating point output for `printf'.
+ Copyright (C) 1995-2012 Free Software Foundation, Inc.
+
+ This file is part of the GNU C Library.
+ Written by Ulrich Drepper <drepper@gnu.ai.mit.edu>, 1995.
+
+ 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, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <config.h>
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+#include <string.h>
+#include <unistd.h>
+#include <stdlib.h>
+#include <stdbool.h>
+#define NDEBUG
+#include <assert.h>
+#ifdef HAVE_ERRNO_H
+#include <errno.h>
+#endif
+#include <stdio.h>
+#include <stdarg.h>
+#ifdef HAVE_FENV_H
+#include "quadmath-rounding-mode.h"
+#endif
+#include "quadmath-printf.h"
+#include "fpioconst.h"
+
+#ifdef USE_I18N_NUMBER_H
+#include "_i18n_number.h"
+#endif
+
+
+/* Macros for doing the actual output. */
+
+#define outchar(ch) \
+ do \
+ { \
+ register const int outc = (ch); \
+ if (PUTC (outc, fp) == EOF) \
+ { \
+ if (buffer_malloced) \
+ free (wbuffer); \
+ return -1; \
+ } \
+ ++done; \
+ } while (0)
+
+#define PRINT(ptr, wptr, len) \
+ do \
+ { \
+ register size_t outlen = (len); \
+ if (len > 20) \
+ { \
+ if (PUT (fp, wide ? (const char *) wptr : ptr, outlen) != outlen) \
+ { \
+ if (buffer_malloced) \
+ free (wbuffer); \
+ return -1; \
+ } \
+ ptr += outlen; \
+ done += outlen; \
+ } \
+ else \
+ { \
+ if (wide) \
+ while (outlen-- > 0) \
+ outchar (*wptr++); \
+ else \
+ while (outlen-- > 0) \
+ outchar (*ptr++); \
+ } \
+ } while (0)
+
+#define PADN(ch, len) \
+ do \
+ { \
+ if (PAD (fp, ch, len) != len) \
+ { \
+ if (buffer_malloced) \
+ free (wbuffer); \
+ return -1; \
+ } \
+ done += len; \
+ } \
+ while (0)
+
+
+/* We use the GNU MP library to handle large numbers.
+
+ An MP variable occupies a varying number of entries in its array. We keep
+ track of this number for efficiency reasons. Otherwise we would always
+ have to process the whole array. */
+#define MPN_VAR(name) mp_limb_t *name; mp_size_t name##size
+
+#define MPN_ASSIGN(dst,src) \
+ memcpy (dst, src, (dst##size = src##size) * sizeof (mp_limb_t))
+#define MPN_GE(u,v) \
+ (u##size > v##size || (u##size == v##size && mpn_cmp (u, v, u##size) >= 0))
+
+extern mp_size_t mpn_extract_flt128 (mp_ptr res_ptr, mp_size_t size,
+ int *expt, int *is_neg,
+ __float128 value) attribute_hidden;
+static unsigned int guess_grouping (unsigned int intdig_max,
+ const char *grouping);
+
+
+static wchar_t *group_number (wchar_t *buf, wchar_t *bufend,
+ unsigned int intdig_no, const char *grouping,
+ wchar_t thousands_sep, int ngroups);
+
+
+int
+__quadmath_printf_fp (struct __quadmath_printf_file *fp,
+ const struct printf_info *info,
+ const void *const *args)
+{
+ /* The floating-point value to output. */
+ __float128 fpnum;
+
+ /* Locale-dependent representation of decimal point. */
+ const char *decimal;
+ wchar_t decimalwc;
+
+ /* Locale-dependent thousands separator and grouping specification. */
+ const char *thousands_sep = NULL;
+ wchar_t thousands_sepwc = L_('\0');
+ const char *grouping;
+
+ /* "NaN" or "Inf" for the special cases. */
+ const char *special = NULL;
+ const wchar_t *wspecial = NULL;
+
+ /* We need just a few limbs for the input before shifting to the right
+ position. */
+ mp_limb_t fp_input[(FLT128_MANT_DIG + BITS_PER_MP_LIMB - 1) / BITS_PER_MP_LIMB];
+ /* We need to shift the contents of fp_input by this amount of bits. */
+ int to_shift = 0;
+
+ /* The fraction of the floting-point value in question */
+ MPN_VAR(frac);
+ /* and the exponent. */
+ int exponent;
+ /* Sign of the exponent. */
+ int expsign = 0;
+ /* Sign of float number. */
+ int is_neg = 0;
+
+ /* Scaling factor. */
+ MPN_VAR(scale);
+
+ /* Temporary bignum value. */
+ MPN_VAR(tmp);
+
+ /* Digit which is result of last hack_digit() call. */
+ wchar_t last_digit, next_digit;
+ bool more_bits;
+
+ /* The type of output format that will be used: 'e'/'E' or 'f'. */
+ int type;
+
+ /* Counter for number of written characters. */
+ int done = 0;
+
+ /* General helper (carry limb). */
+ mp_limb_t cy;
+
+ /* Nonzero if this is output on a wide character stream. */
+ int wide = info->wide;
+
+ /* Buffer in which we produce the output. */
+ wchar_t *wbuffer = NULL;
+ /* Flag whether wbuffer is malloc'ed or not. */
+ int buffer_malloced = 0;
+
+ auto wchar_t hack_digit (void);
+
+ wchar_t hack_digit (void)
+ {
+ mp_limb_t hi;
+
+ if (expsign != 0 && type == 'f' && exponent-- > 0)
+ hi = 0;
+ else if (scalesize == 0)
+ {
+ hi = frac[fracsize - 1];
+ frac[fracsize - 1] = mpn_mul_1 (frac, frac, fracsize - 1, 10);
+ }
+ else
+ {
+ if (fracsize < scalesize)
+ hi = 0;
+ else
+ {
+ hi = mpn_divmod (tmp, frac, fracsize, scale, scalesize);
+ tmp[fracsize - scalesize] = hi;
+ hi = tmp[0];
+
+ fracsize = scalesize;
+ while (fracsize != 0 && frac[fracsize - 1] == 0)
+ --fracsize;
+ if (fracsize == 0)
+ {
+ /* We're not prepared for an mpn variable with zero
+ limbs. */
+ fracsize = 1;
+ return L_('0') + hi;
+ }
+ }
+
+ mp_limb_t _cy = mpn_mul_1 (frac, frac, fracsize, 10);
+ if (_cy != 0)
+ frac[fracsize++] = _cy;
+ }
+
+ return L_('0') + hi;
+ }
+
+ /* Figure out the decimal point character. */
+#ifdef USE_NL_LANGINFO
+ if (info->extra == 0)
+ decimal = nl_langinfo (DECIMAL_POINT);
+ else
+ {
+ decimal = nl_langinfo (MON_DECIMAL_POINT);
+ if (*decimal == '\0')
+ decimal = nl_langinfo (DECIMAL_POINT);
+ }
+ /* The decimal point character must never be zero. */
+ assert (*decimal != '\0');
+#elif defined USE_LOCALECONV
+ const struct lconv *lc = localeconv ();
+ if (info->extra == 0)
+ decimal = lc->decimal_point;
+ else
+ {
+ decimal = lc->mon_decimal_point;
+ if (decimal == NULL || *decimal == '\0')
+ decimal = lc->decimal_point;
+ }
+ if (decimal == NULL || *decimal == '\0')
+ decimal = ".";
+#else
+ decimal = ".";
+#endif
+#ifdef USE_NL_LANGINFO_WC
+ if (info->extra == 0)
+ decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC);
+ else
+ {
+ decimalwc = nl_langinfo_wc (_NL_MONETARY_DECIMAL_POINT_WC);
+ if (decimalwc == L_('\0'))
+ decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC);
+ }
+ /* The decimal point character must never be zero. */
+ assert (decimalwc != L_('\0'));
+#else
+ decimalwc = L_('.');
+#endif
+
+#if defined USE_NL_LANGINFO && defined USE_NL_LANGINFO_WC
+ if (info->group)
+ {
+ if (info->extra == 0)
+ grouping = nl_langinfo (GROUPING);
+ else
+ grouping = nl_langinfo (MON_GROUPING);
+
+ if (*grouping <= 0 || *grouping == CHAR_MAX)
+ grouping = NULL;
+ else
+ {
+ /* Figure out the thousands separator character. */
+ if (wide)
+ {
+ if (info->extra == 0)
+ thousands_sepwc = nl_langinfo_wc (_NL_NUMERIC_THOUSANDS_SEP_WC);
+ else
+ thousands_sepwc = nl_langinfo_wc (_NL_MONETARY_THOUSANDS_SEP_WC);
+
+ if (thousands_sepwc == L_('\0'))
+ grouping = NULL;
+ }
+ else
+ {
+ if (info->extra == 0)
+ thousands_sep = nl_langinfo (THOUSANDS_SEP);
+ else
+ thousands_sep = nl_langinfo (MON_THOUSANDS_SEP);
+ if (*thousands_sep == '\0')
+ grouping = NULL;
+ }
+ }
+ }
+ else
+#elif defined USE_NL_LANGINFO
+ if (info->group && !wide)
+ {
+ if (info->extra == 0)
+ grouping = nl_langinfo (GROUPING);
+ else
+ grouping = nl_langinfo (MON_GROUPING);
+
+ if (*grouping <= 0 || *grouping == CHAR_MAX)
+ grouping = NULL;
+ else
+ {
+ /* Figure out the thousands separator character. */
+ if (info->extra == 0)
+ thousands_sep = nl_langinfo (THOUSANDS_SEP);
+ else
+ thousands_sep = nl_langinfo (MON_THOUSANDS_SEP);
+
+ if (*thousands_sep == '\0')
+ grouping = NULL;
+ }
+ }
+ else
+#elif defined USE_LOCALECONV
+ if (info->group && !wide)
+ {
+ if (info->extra == 0)
+ grouping = lc->grouping;
+ else
+ grouping = lc->mon_grouping;
+
+ if (grouping == NULL || *grouping <= 0 || *grouping == CHAR_MAX)
+ grouping = NULL;
+ else
+ {
+ /* Figure out the thousands separator character. */
+ if (info->extra == 0)
+ thousands_sep = lc->thousands_sep;
+ else
+ thousands_sep = lc->mon_thousands_sep;
+
+ if (thousands_sep == NULL || *thousands_sep == '\0')
+ grouping = NULL;
+ }
+ }
+ else
+#endif
+ grouping = NULL;
+ if (grouping != NULL && !wide)
+ /* If we are printing multibyte characters and there is a
+ multibyte representation for the thousands separator,
+ we must ensure the wide character thousands separator
+ is available, even if it is fake. */
+ thousands_sepwc = (wchar_t) 0xfffffffe;
+
+ /* Fetch the argument value. */
+ {
+ fpnum = **(const __float128 **) args[0];
+
+ /* Check for special values: not a number or infinity. */
+ if (isnanq (fpnum))
+ {
+ ieee854_float128 u = { .value = fpnum };
+ is_neg = u.ieee.negative != 0;
+ if (isupper (info->spec))
+ {
+ special = "NAN";
+ wspecial = L_("NAN");
+ }
+ else
+ {
+ special = "nan";
+ wspecial = L_("nan");
+ }
+ }
+ else if (isinfq (fpnum))
+ {
+ is_neg = fpnum < 0;
+ if (isupper (info->spec))
+ {
+ special = "INF";
+ wspecial = L_("INF");
+ }
+ else
+ {
+ special = "inf";
+ wspecial = L_("inf");
+ }
+ }
+ else
+ {
+ fracsize = mpn_extract_flt128 (fp_input,
+ (sizeof (fp_input) /
+ sizeof (fp_input[0])),
+ &exponent, &is_neg, fpnum);
+ to_shift = 1 + fracsize * BITS_PER_MP_LIMB - FLT128_MANT_DIG;
+ }
+ }
+
+ if (special)
+ {
+ int width = info->width;
+
+ if (is_neg || info->showsign || info->space)
+ --width;
+ width -= 3;
+
+ if (!info->left && width > 0)
+ PADN (' ', width);
+
+ if (is_neg)
+ outchar ('-');
+ else if (info->showsign)
+ outchar ('+');
+ else if (info->space)
+ outchar (' ');
+
+ PRINT (special, wspecial, 3);
+
+ if (info->left && width > 0)
+ PADN (' ', width);
+
+ return done;
+ }
+
+
+ /* We need three multiprecision variables. Now that we have the exponent
+ of the number we can allocate the needed memory. It would be more
+ efficient to use variables of the fixed maximum size but because this
+ would be really big it could lead to memory problems. */
+ {
+ mp_size_t bignum_size = ((ABS (exponent) + BITS_PER_MP_LIMB - 1)
+ / BITS_PER_MP_LIMB
+ + (FLT128_MANT_DIG / BITS_PER_MP_LIMB > 2 ? 8 : 4))
+ * sizeof (mp_limb_t);
+ frac = (mp_limb_t *) alloca (bignum_size);
+ tmp = (mp_limb_t *) alloca (bignum_size);
+ scale = (mp_limb_t *) alloca (bignum_size);
+ }
+
+ /* We now have to distinguish between numbers with positive and negative
+ exponents because the method used for the one is not applicable/efficient
+ for the other. */
+ scalesize = 0;
+ if (exponent > 2)
+ {
+ /* |FP| >= 8.0. */
+ int scaleexpo = 0;
+ int explog = FLT128_MAX_10_EXP_LOG;
+ int exp10 = 0;
+ const struct mp_power *powers = &_fpioconst_pow10[explog + 1];
+ int cnt_h, cnt_l, i;
+
+ if ((exponent + to_shift) % BITS_PER_MP_LIMB == 0)
+ {
+ MPN_COPY_DECR (frac + (exponent + to_shift) / BITS_PER_MP_LIMB,
+ fp_input, fracsize);
+ fracsize += (exponent + to_shift) / BITS_PER_MP_LIMB;
+ }
+ else
+ {
+ cy = mpn_lshift (frac + (exponent + to_shift) / BITS_PER_MP_LIMB,
+ fp_input, fracsize,
+ (exponent + to_shift) % BITS_PER_MP_LIMB);
+ fracsize += (exponent + to_shift) / BITS_PER_MP_LIMB;
+ if (cy)
+ frac[fracsize++] = cy;
+ }
+ MPN_ZERO (frac, (exponent + to_shift) / BITS_PER_MP_LIMB);
+
+ assert (powers > &_fpioconst_pow10[0]);
+ do
+ {
+ --powers;
+
+ /* The number of the product of two binary numbers with n and m
+ bits respectively has m+n or m+n-1 bits. */
+ if (exponent >= scaleexpo + powers->p_expo - 1)
+ {
+ if (scalesize == 0)
+ {
+ if (FLT128_MANT_DIG > _FPIO_CONST_OFFSET * BITS_PER_MP_LIMB)
+ {
+#define _FPIO_CONST_SHIFT \
+ (((FLT128_MANT_DIG + BITS_PER_MP_LIMB - 1) / BITS_PER_MP_LIMB) \
+ - _FPIO_CONST_OFFSET)
+ /* 64bit const offset is not enough for
+ IEEE quad long double. */
+ tmpsize = powers->arraysize + _FPIO_CONST_SHIFT;
+ memcpy (tmp + _FPIO_CONST_SHIFT,
+ &__tens[powers->arrayoff],
+ tmpsize * sizeof (mp_limb_t));
+ MPN_ZERO (tmp, _FPIO_CONST_SHIFT);
+ /* Adjust exponent, as scaleexpo will be this much
+ bigger too. */
+ exponent += _FPIO_CONST_SHIFT * BITS_PER_MP_LIMB;
+ }
+ else
+ {
+ tmpsize = powers->arraysize;
+ memcpy (tmp, &__tens[powers->arrayoff],
+ tmpsize * sizeof (mp_limb_t));
+ }
+ }
+ else
+ {
+ cy = mpn_mul (tmp, scale, scalesize,
+ &__tens[powers->arrayoff
+ + _FPIO_CONST_OFFSET],
+ powers->arraysize - _FPIO_CONST_OFFSET);
+ tmpsize = scalesize + powers->arraysize - _FPIO_CONST_OFFSET;
+ if (cy == 0)
+ --tmpsize;
+ }
+
+ if (MPN_GE (frac, tmp))
+ {
+ int cnt;
+ MPN_ASSIGN (scale, tmp);
+ count_leading_zeros (cnt, scale[scalesize - 1]);
+ scaleexpo = (scalesize - 2) * BITS_PER_MP_LIMB - cnt - 1;
+ exp10 |= 1 << explog;
+ }
+ }
+ --explog;
+ }
+ while (powers > &_fpioconst_pow10[0]);
+ exponent = exp10;
+
+ /* Optimize number representations. We want to represent the numbers
+ with the lowest number of bytes possible without losing any
+ bytes. Also the highest bit in the scaling factor has to be set
+ (this is a requirement of the MPN division routines). */
+ if (scalesize > 0)
+ {
+ /* Determine minimum number of zero bits at the end of
+ both numbers. */
+ for (i = 0; scale[i] == 0 && frac[i] == 0; i++)
+ ;
+
+ /* Determine number of bits the scaling factor is misplaced. */
+ count_leading_zeros (cnt_h, scale[scalesize - 1]);
+
+ if (cnt_h == 0)
+ {
+ /* The highest bit of the scaling factor is already set. So
+ we only have to remove the trailing empty limbs. */
+ if (i > 0)
+ {
+ MPN_COPY_INCR (scale, scale + i, scalesize - i);
+ scalesize -= i;
+ MPN_COPY_INCR (frac, frac + i, fracsize - i);
+ fracsize -= i;
+ }
+ }
+ else
+ {
+ if (scale[i] != 0)
+ {
+ count_trailing_zeros (cnt_l, scale[i]);
+ if (frac[i] != 0)
+ {
+ int cnt_l2;
+ count_trailing_zeros (cnt_l2, frac[i]);
+ if (cnt_l2 < cnt_l)
+ cnt_l = cnt_l2;
+ }
+ }
+ else
+ count_trailing_zeros (cnt_l, frac[i]);
+
+ /* Now shift the numbers to their optimal position. */
+ if (i == 0 && BITS_PER_MP_LIMB - cnt_h > cnt_l)
+ {
+ /* We cannot save any memory. So just roll both numbers
+ so that the scaling factor has its highest bit set. */
+
+ (void) mpn_lshift (scale, scale, scalesize, cnt_h);
+ cy = mpn_lshift (frac, frac, fracsize, cnt_h);
+ if (cy != 0)
+ frac[fracsize++] = cy;
+ }
+ else if (BITS_PER_MP_LIMB - cnt_h <= cnt_l)
+ {
+ /* We can save memory by removing the trailing zero limbs
+ and by packing the non-zero limbs which gain another
+ free one. */
+
+ (void) mpn_rshift (scale, scale + i, scalesize - i,
+ BITS_PER_MP_LIMB - cnt_h);
+ scalesize -= i + 1;
+ (void) mpn_rshift (frac, frac + i, fracsize - i,
+ BITS_PER_MP_LIMB - cnt_h);
+ fracsize -= frac[fracsize - i - 1] == 0 ? i + 1 : i;
+ }
+ else
+ {
+ /* We can only save the memory of the limbs which are zero.
+ The non-zero parts occupy the same number of limbs. */
+
+ (void) mpn_rshift (scale, scale + (i - 1),
+ scalesize - (i - 1),
+ BITS_PER_MP_LIMB - cnt_h);
+ scalesize -= i;
+ (void) mpn_rshift (frac, frac + (i - 1),
+ fracsize - (i - 1),
+ BITS_PER_MP_LIMB - cnt_h);
+ fracsize -= frac[fracsize - (i - 1) - 1] == 0 ? i : i - 1;
+ }
+ }
+ }
+ }
+ else if (exponent < 0)
+ {
+ /* |FP| < 1.0. */
+ int exp10 = 0;
+ int explog = FLT128_MAX_10_EXP_LOG;
+ const struct mp_power *powers = &_fpioconst_pow10[explog + 1];
+
+ /* Now shift the input value to its right place. */
+ cy = mpn_lshift (frac, fp_input, fracsize, to_shift);
+ frac[fracsize++] = cy;
+ assert (cy == 1 || (frac[fracsize - 2] == 0 && frac[0] == 0));
+
+ expsign = 1;
+ exponent = -exponent;
+
+ assert (powers != &_fpioconst_pow10[0]);
+ do
+ {
+ --powers;
+
+ if (exponent >= powers->m_expo)
+ {
+ int i, incr, cnt_h, cnt_l;
+ mp_limb_t topval[2];
+
+ /* The mpn_mul function expects the first argument to be
+ bigger than the second. */
+ if (fracsize < powers->arraysize - _FPIO_CONST_OFFSET)
+ cy = mpn_mul (tmp, &__tens[powers->arrayoff
+ + _FPIO_CONST_OFFSET],
+ powers->arraysize - _FPIO_CONST_OFFSET,
+ frac, fracsize);
+ else
+ cy = mpn_mul (tmp, frac, fracsize,
+ &__tens[powers->arrayoff + _FPIO_CONST_OFFSET],
+ powers->arraysize - _FPIO_CONST_OFFSET);
+ tmpsize = fracsize + powers->arraysize - _FPIO_CONST_OFFSET;
+ if (cy == 0)
+ --tmpsize;
+
+ count_leading_zeros (cnt_h, tmp[tmpsize - 1]);
+ incr = (tmpsize - fracsize) * BITS_PER_MP_LIMB
+ + BITS_PER_MP_LIMB - 1 - cnt_h;
+
+ assert (incr <= powers->p_expo);
+
+ /* If we increased the exponent by exactly 3 we have to test
+ for overflow. This is done by comparing with 10 shifted
+ to the right position. */
+ if (incr == exponent + 3)
+ {
+ if (cnt_h <= BITS_PER_MP_LIMB - 4)
+ {
+ topval[0] = 0;
+ topval[1]
+ = ((mp_limb_t) 10) << (BITS_PER_MP_LIMB - 4 - cnt_h);
+ }
+ else
+ {
+ topval[0] = ((mp_limb_t) 10) << (BITS_PER_MP_LIMB - 4);
+ topval[1] = 0;
+ (void) mpn_lshift (topval, topval, 2,
+ BITS_PER_MP_LIMB - cnt_h);
+ }
+ }
+
+ /* We have to be careful when multiplying the last factor.
+ If the result is greater than 1.0 be have to test it
+ against 10.0. If it is greater or equal to 10.0 the
+ multiplication was not valid. This is because we cannot
+ determine the number of bits in the result in advance. */
+ if (incr < exponent + 3
+ || (incr == exponent + 3 &&
+ (tmp[tmpsize - 1] < topval[1]
+ || (tmp[tmpsize - 1] == topval[1]
+ && tmp[tmpsize - 2] < topval[0]))))
+ {
+ /* The factor is right. Adapt binary and decimal
+ exponents. */
+ exponent -= incr;
+ exp10 |= 1 << explog;
+
+ /* If this factor yields a number greater or equal to
+ 1.0, we must not shift the non-fractional digits down. */
+ if (exponent < 0)
+ cnt_h += -exponent;
+
+ /* Now we optimize the number representation. */
+ for (i = 0; tmp[i] == 0; ++i);
+ if (cnt_h == BITS_PER_MP_LIMB - 1)
+ {
+ MPN_COPY (frac, tmp + i, tmpsize - i);
+ fracsize = tmpsize - i;
+ }
+ else
+ {
+ count_trailing_zeros (cnt_l, tmp[i]);
+
+ /* Now shift the numbers to their optimal position. */
+ if (i == 0 && BITS_PER_MP_LIMB - 1 - cnt_h > cnt_l)
+ {
+ /* We cannot save any memory. Just roll the
+ number so that the leading digit is in a
+ separate limb. */
+
+ cy = mpn_lshift (frac, tmp, tmpsize, cnt_h + 1);
+ fracsize = tmpsize + 1;
+ frac[fracsize - 1] = cy;
+ }
+ else if (BITS_PER_MP_LIMB - 1 - cnt_h <= cnt_l)
+ {
+ (void) mpn_rshift (frac, tmp + i, tmpsize - i,
+ BITS_PER_MP_LIMB - 1 - cnt_h);
+ fracsize = tmpsize - i;
+ }
+ else
+ {
+ /* We can only save the memory of the limbs which
+ are zero. The non-zero parts occupy the same
+ number of limbs. */
+
+ (void) mpn_rshift (frac, tmp + (i - 1),
+ tmpsize - (i - 1),
+ BITS_PER_MP_LIMB - 1 - cnt_h);
+ fracsize = tmpsize - (i - 1);
+ }
+ }
+ }
+ }
+ --explog;
+ }
+ while (powers != &_fpioconst_pow10[1] && exponent > 0);
+ /* All factors but 10^-1 are tested now. */
+ if (exponent > 0)
+ {
+ int cnt_l;
+
+ cy = mpn_mul_1 (tmp, frac, fracsize, 10);
+ tmpsize = fracsize;
+ assert (cy == 0 || tmp[tmpsize - 1] < 20);
+
+ count_trailing_zeros (cnt_l, tmp[0]);
+ if (cnt_l < MIN (4, exponent))
+ {
+ cy = mpn_lshift (frac, tmp, tmpsize,
+ BITS_PER_MP_LIMB - MIN (4, exponent));
+ if (cy != 0)
+ frac[tmpsize++] = cy;
+ }
+ else
+ (void) mpn_rshift (frac, tmp, tmpsize, MIN (4, exponent));
+ fracsize = tmpsize;
+ exp10 |= 1;
+ assert (frac[fracsize - 1] < 10);
+ }
+ exponent = exp10;
+ }
+ else
+ {
+ /* This is a special case. We don't need a factor because the
+ numbers are in the range of 1.0 <= |fp| < 8.0. We simply
+ shift it to the right place and divide it by 1.0 to get the
+ leading digit. (Of course this division is not really made.) */
+ assert (0 <= exponent && exponent < 3 &&
+ exponent + to_shift < BITS_PER_MP_LIMB);
+
+ /* Now shift the input value to its right place. */
+ cy = mpn_lshift (frac, fp_input, fracsize, (exponent + to_shift));
+ frac[fracsize++] = cy;
+ exponent = 0;
+ }
+
+ {
+ int width = info->width;
+ wchar_t *wstartp, *wcp;
+ size_t chars_needed;
+ int expscale;
+ int intdig_max, intdig_no = 0;
+ int fracdig_min;
+ int fracdig_max;
+ int dig_max;
+ int significant;
+ int ngroups = 0;
+ char spec = tolower (info->spec);
+
+ if (spec == 'e')
+ {
+ type = info->spec;
+ intdig_max = 1;
+ fracdig_min = fracdig_max = info->prec < 0 ? 6 : info->prec;
+ chars_needed = 1 + 1 + (size_t) fracdig_max + 1 + 1 + 4;
+ /* d . ddd e +- ddd */
+ dig_max = __INT_MAX__; /* Unlimited. */
+ significant = 1; /* Does not matter here. */
+ }
+ else if (spec == 'f')
+ {
+ type = 'f';
+ fracdig_min = fracdig_max = info->prec < 0 ? 6 : info->prec;
+ dig_max = __INT_MAX__; /* Unlimited. */
+ significant = 1; /* Does not matter here. */
+ if (expsign == 0)
+ {
+ intdig_max = exponent + 1;
+ /* This can be really big! */ /* XXX Maybe malloc if too big? */
+ chars_needed = (size_t) exponent + 1 + 1 + (size_t) fracdig_max;
+ }
+ else
+ {
+ intdig_max = 1;
+ chars_needed = 1 + 1 + (size_t) fracdig_max;
+ }
+ }
+ else
+ {
+ dig_max = info->prec < 0 ? 6 : (info->prec == 0 ? 1 : info->prec);
+ if ((expsign == 0 && exponent >= dig_max)
+ || (expsign != 0 && exponent > 4))
+ {
+ if ('g' - 'G' == 'e' - 'E')
+ type = 'E' + (info->spec - 'G');
+ else
+ type = isupper (info->spec) ? 'E' : 'e';
+ fracdig_max = dig_max - 1;
+ intdig_max = 1;
+ chars_needed = 1 + 1 + (size_t) fracdig_max + 1 + 1 + 4;
+ }
+ else
+ {
+ type = 'f';
+ intdig_max = expsign == 0 ? exponent + 1 : 0;
+ fracdig_max = dig_max - intdig_max;
+ /* We need space for the significant digits and perhaps
+ for leading zeros when < 1.0. The number of leading
+ zeros can be as many as would be required for
+ exponential notation with a negative two-digit
+ exponent, which is 4. */
+ chars_needed = (size_t) dig_max + 1 + 4;
+ }
+ fracdig_min = info->alt ? fracdig_max : 0;
+ significant = 0; /* We count significant digits. */
+ }
+
+ if (grouping)
+ {
+ /* Guess the number of groups we will make, and thus how
+ many spaces we need for separator characters. */
+ ngroups = guess_grouping (intdig_max, grouping);
+ /* Allocate one more character in case rounding increases the
+ number of groups. */
+ chars_needed += ngroups + 1;
+ }
+
+ /* Allocate buffer for output. We need two more because while rounding
+ it is possible that we need two more characters in front of all the
+ other output. If the amount of memory we have to allocate is too
+ large use `malloc' instead of `alloca'. */
+ if (__builtin_expect (chars_needed >= (size_t) -1 / sizeof (wchar_t) - 2
+ || chars_needed < fracdig_max, 0))
+ {
+ /* Some overflow occurred. */
+#if defined HAVE_ERRNO_H && defined ERANGE
+ errno = ERANGE;
+#endif
+ return -1;
+ }
+ size_t wbuffer_to_alloc = (2 + chars_needed) * sizeof (wchar_t);
+ buffer_malloced = wbuffer_to_alloc >= 4096;
+ if (__builtin_expect (buffer_malloced, 0))
+ {
+ wbuffer = (wchar_t *) malloc (wbuffer_to_alloc);
+ if (wbuffer == NULL)
+ /* Signal an error to the caller. */
+ return -1;
+ }
+ else
+ wbuffer = (wchar_t *) alloca (wbuffer_to_alloc);
+ wcp = wstartp = wbuffer + 2; /* Let room for rounding. */
+
+ /* Do the real work: put digits in allocated buffer. */
+ if (expsign == 0 || type != 'f')
+ {
+ assert (expsign == 0 || intdig_max == 1);
+ while (intdig_no < intdig_max)
+ {
+ ++intdig_no;
+ *wcp++ = hack_digit ();
+ }
+ significant = 1;
+ if (info->alt
+ || fracdig_min > 0
+ || (fracdig_max > 0 && (fracsize > 1 || frac[0] != 0)))
+ *wcp++ = decimalwc;
+ }
+ else
+ {
+ /* |fp| < 1.0 and the selected type is 'f', so put "0."
+ in the buffer. */
+ *wcp++ = L_('0');
+ --exponent;
+ *wcp++ = decimalwc;
+ }
+
+ /* Generate the needed number of fractional digits. */
+ int fracdig_no = 0;
+ int added_zeros = 0;
+ while (fracdig_no < fracdig_min + added_zeros
+ || (fracdig_no < fracdig_max && (fracsize > 1 || frac[0] != 0)))
+ {
+ ++fracdig_no;
+ *wcp = hack_digit ();
+ if (*wcp++ != L_('0'))
+ significant = 1;
+ else if (significant == 0)
+ {
+ ++fracdig_max;
+ if (fracdig_min > 0)
+ ++added_zeros;
+ }
+ }
+
+ /* Do rounding. */
+ last_digit = wcp[-1] != decimalwc ? wcp[-1] : wcp[-2];
+ next_digit =hack_digit ();
+
+ if (next_digit != L_('0') && next_digit != L_('5'))
+ more_bits = true;
+ else if (fracsize == 1 && frac[0] == 0)
+ /* Rest of the number is zero. */
+ more_bits = false;
+ else if (scalesize == 0)
+ {
+ /* Here we have to see whether all limbs are zero since no
+ normalization happened. */
+ size_t lcnt = fracsize;
+ while (lcnt >= 1 && frac[lcnt - 1] == 0)
+ --lcnt;
+ more_bits = lcnt > 0;
+ }
+ else
+ more_bits = true;
+
+#ifdef HAVE_FENV_H
+ int rounding_mode = get_rounding_mode ();
+ if (round_away (is_neg, (last_digit - L_('0')) & 1, next_digit >= L_('5'),
+ more_bits, rounding_mode))
+ {
+ wchar_t *wtp = wcp;
+
+ if (fracdig_no > 0)
+ {
+ /* Process fractional digits. Terminate if not rounded or
+ radix character is reached. */
+ int removed = 0;
+ while (*--wtp != decimalwc && *wtp == L_('9'))
+ {
+ *wtp = L_('0');
+ ++removed;
+ }
+ if (removed == fracdig_min && added_zeros > 0)
+ --added_zeros;
+ if (*wtp != decimalwc)
+ /* Round up. */
+ (*wtp)++;
+ else if (__builtin_expect (spec == 'g' && type == 'f' && info->alt
+ && wtp == wstartp + 1
+ && wstartp[0] == L_('0'),
+ 0))
+ /* This is a special case: the rounded number is 1.0,
+ the format is 'g' or 'G', and the alternative format
+ is selected. This means the result must be "1.". */
+ --added_zeros;
+ }
+
+ if (fracdig_no == 0 || *wtp == decimalwc)
+ {
+ /* Round the integer digits. */
+ if (*(wtp - 1) == decimalwc)
+ --wtp;
+
+ while (--wtp >= wstartp && *wtp == L_('9'))
+ *wtp = L_('0');
+
+ if (wtp >= wstartp)
+ /* Round up. */
+ (*wtp)++;
+ else
+ /* It is more critical. All digits were 9's. */
+ {
+ if (type != 'f')
+ {
+ *wstartp = '1';
+ exponent += expsign == 0 ? 1 : -1;
+
+ /* The above exponent adjustment could lead to 1.0e-00,
+ e.g. for 0.999999999. Make sure exponent 0 always
+ uses + sign. */
+ if (exponent == 0)
+ expsign = 0;
+ }
+ else if (intdig_no == dig_max)
+ {
+ /* This is the case where for type %g the number fits
+ really in the range for %f output but after rounding
+ the number of digits is too big. */
+ *--wstartp = decimalwc;
+ *--wstartp = L_('1');
+
+ if (info->alt || fracdig_no > 0)
+ {
+ /* Overwrite the old radix character. */
+ wstartp[intdig_no + 2] = L_('0');
+ ++fracdig_no;
+ }
+
+ fracdig_no += intdig_no;
+ intdig_no = 1;
+ fracdig_max = intdig_max - intdig_no;
+ ++exponent;
+ /* Now we must print the exponent. */
+ type = isupper (info->spec) ? 'E' : 'e';
+ }
+ else
+ {
+ /* We can simply add another another digit before the
+ radix. */
+ *--wstartp = L_('1');
+ ++intdig_no;
+ }
+
+ /* While rounding the number of digits can change.
+ If the number now exceeds the limits remove some
+ fractional digits. */
+ if (intdig_no + fracdig_no > dig_max)
+ {
+ wcp -= intdig_no + fracdig_no - dig_max;
+ fracdig_no -= intdig_no + fracdig_no - dig_max;
+ }
+ }
+ }
+ }
+#endif
+
+ /* Now remove unnecessary '0' at the end of the string. */
+ while (fracdig_no > fracdig_min + added_zeros && *(wcp - 1) == L_('0'))
+ {
+ --wcp;
+ --fracdig_no;
+ }
+ /* If we eliminate all fractional digits we perhaps also can remove
+ the radix character. */
+ if (fracdig_no == 0 && !info->alt && *(wcp - 1) == decimalwc)
+ --wcp;
+
+ if (grouping)
+ {
+ /* Rounding might have changed the number of groups. We allocated
+ enough memory but we need here the correct number of groups. */
+ if (intdig_no != intdig_max)
+ ngroups = guess_grouping (intdig_no, grouping);
+
+ /* Add in separator characters, overwriting the same buffer. */
+ wcp = group_number (wstartp, wcp, intdig_no, grouping, thousands_sepwc,
+ ngroups);
+ }
+
+ /* Write the exponent if it is needed. */
+ if (type != 'f')
+ {
+ if (__builtin_expect (expsign != 0 && exponent == 4 && spec == 'g', 0))
+ {
+ /* This is another special case. The exponent of the number is
+ really smaller than -4, which requires the 'e'/'E' format.
+ But after rounding the number has an exponent of -4. */
+ assert (wcp >= wstartp + 1);
+ assert (wstartp[0] == L_('1'));
+ memcpy (wstartp, L_("0.0001"), 6 * sizeof (wchar_t));
+ wstartp[1] = decimalwc;
+ if (wcp >= wstartp + 2)
+ {
+ size_t cnt;
+ for (cnt = 0; cnt < wcp - (wstartp + 2); cnt++)
+ wstartp[6 + cnt] = L_('0');
+ wcp += 4;
+ }
+ else
+ wcp += 5;
+ }
+ else
+ {
+ *wcp++ = (wchar_t) type;
+ *wcp++ = expsign ? L_('-') : L_('+');
+
+ /* Find the magnitude of the exponent. */
+ expscale = 10;
+ while (expscale <= exponent)
+ expscale *= 10;
+
+ if (exponent < 10)
+ /* Exponent always has at least two digits. */
+ *wcp++ = L_('0');
+ else
+ do
+ {
+ expscale /= 10;
+ *wcp++ = L_('0') + (exponent / expscale);
+ exponent %= expscale;
+ }
+ while (expscale > 10);
+ *wcp++ = L_('0') + exponent;
+ }
+ }
+
+ /* Compute number of characters which must be filled with the padding
+ character. */
+ if (is_neg || info->showsign || info->space)
+ --width;
+ width -= wcp - wstartp;
+
+ if (!info->left && info->pad != '0' && width > 0)
+ PADN (info->pad, width);
+
+ if (is_neg)
+ outchar ('-');
+ else if (info->showsign)
+ outchar ('+');
+ else if (info->space)
+ outchar (' ');
+
+ if (!info->left && info->pad == '0' && width > 0)
+ PADN ('0', width);
+
+ {
+ char *buffer = NULL;
+ char *buffer_end __attribute__((__unused__)) = NULL;
+ char *cp = NULL;
+ char *tmpptr;
+
+ if (! wide)
+ {
+ /* Create the single byte string. */
+ size_t decimal_len;
+ size_t thousands_sep_len;
+ wchar_t *copywc;
+#ifdef USE_I18N_NUMBER_H
+ size_t factor = (info->i18n
+ ? nl_langinfo_wc (_NL_CTYPE_MB_CUR_MAX)
+ : 1);
+#else
+ size_t factor = 1;
+#endif
+
+ decimal_len = strlen (decimal);
+
+ if (thousands_sep == NULL)
+ thousands_sep_len = 0;
+ else
+ thousands_sep_len = strlen (thousands_sep);
+
+ size_t nbuffer = (2 + chars_needed * factor + decimal_len
+ + ngroups * thousands_sep_len);
+ if (__builtin_expect (buffer_malloced, 0))
+ {
+ buffer = (char *) malloc (nbuffer);
+ if (buffer == NULL)
+ {
+ /* Signal an error to the caller. */
+ free (wbuffer);
+ return -1;
+ }
+ }
+ else
+ buffer = (char *) alloca (nbuffer);
+ buffer_end = buffer + nbuffer;
+
+ /* Now copy the wide character string. Since the character
+ (except for the decimal point and thousands separator) must
+ be coming from the ASCII range we can esily convert the
+ string without mapping tables. */
+ for (cp = buffer, copywc = wstartp; copywc < wcp; ++copywc)
+ if (*copywc == decimalwc)
+ memcpy (cp, decimal, decimal_len), cp += decimal_len;
+ else if (*copywc == thousands_sepwc)
+ memcpy (cp, thousands_sep, thousands_sep_len), cp += thousands_sep_len;
+ else
+ *cp++ = (char) *copywc;
+ }
+
+ tmpptr = buffer;
+#if USE_I18N_NUMBER_H
+ if (__builtin_expect (info->i18n, 0))
+ {
+ tmpptr = _i18n_number_rewrite (tmpptr, cp, buffer_end);
+ cp = buffer_end;
+ assert ((uintptr_t) buffer <= (uintptr_t) tmpptr);
+ assert ((uintptr_t) tmpptr < (uintptr_t) buffer_end);
+ }
+#endif
+
+ PRINT (tmpptr, wstartp, wide ? wcp - wstartp : cp - tmpptr);
+
+ /* Free the memory if necessary. */
+ if (__builtin_expect (buffer_malloced, 0))
+ {
+ free (buffer);
+ free (wbuffer);
+ }
+ }
+
+ if (info->left && width > 0)
+ PADN (info->pad, width);
+ }
+ return done;
+}
+
+/* Return the number of extra grouping characters that will be inserted
+ into a number with INTDIG_MAX integer digits. */
+
+static unsigned int
+guess_grouping (unsigned int intdig_max, const char *grouping)
+{
+ unsigned int groups;
+
+ /* We treat all negative values like CHAR_MAX. */
+
+ if (*grouping == CHAR_MAX || *grouping <= 0)
+ /* No grouping should be done. */
+ return 0;
+
+ groups = 0;
+ while (intdig_max > (unsigned int) *grouping)
+ {
+ ++groups;
+ intdig_max -= *grouping++;
+
+ if (*grouping == CHAR_MAX
+#if CHAR_MIN < 0
+ || *grouping < 0
+#endif
+ )
+ /* No more grouping should be done. */
+ break;
+ else if (*grouping == 0)
+ {
+ /* Same grouping repeats. */
+ groups += (intdig_max - 1) / grouping[-1];
+ break;
+ }
+ }
+
+ return groups;
+}
+
+/* Group the INTDIG_NO integer digits of the number in [BUF,BUFEND).
+ There is guaranteed enough space past BUFEND to extend it.
+ Return the new end of buffer. */
+
+static wchar_t *
+group_number (wchar_t *buf, wchar_t *bufend, unsigned int intdig_no,
+ const char *grouping, wchar_t thousands_sep, int ngroups)
+{
+ wchar_t *p;
+
+ if (ngroups == 0)
+ return bufend;
+
+ /* Move the fractional part down. */
+ memmove (buf + intdig_no + ngroups, buf + intdig_no,
+ (bufend - (buf + intdig_no)) * sizeof (wchar_t));
+
+ p = buf + intdig_no + ngroups - 1;
+ do
+ {
+ unsigned int len = *grouping++;
+ do
+ *p-- = buf[--intdig_no];
+ while (--len > 0);
+ *p-- = thousands_sep;
+
+ if (*grouping == CHAR_MAX
+#if CHAR_MIN < 0
+ || *grouping < 0
+#endif
+ )
+ /* No more grouping should be done. */
+ break;
+ else if (*grouping == 0)
+ /* Same grouping repeats. */
+ --grouping;
+ } while (intdig_no > (unsigned int) *grouping);
+
+ /* Copy the remaining ungrouped digits. */
+ do
+ *p-- = buf[--intdig_no];
+ while (p > buf);
+
+ return bufend + ngroups;
+}