inline void eval_trunc(float128_backend& result, const float128_backend& arg)
{
if(isnanq(arg.value()) || isinfq(arg.value()))
{
result = pdalboost::math::policies::raise_rounding_error(
"pdalboost::multiprecision::trunc<%1%>(%1%)", 0,
number<float128_backend, et_off>(arg),
number<float128_backend, et_off>(arg),
pdalboost::math::policies::policy<>()).backend();
return;
}
result.value() = truncq(arg.value());
}
__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;
}
inline int eval_fpclassify(const float128_backend& arg)
{
return isnanq(arg.value()) ? FP_NAN : isinfq(arg.value()) ? FP_INFINITE : arg.value() == 0 ? FP_ZERO : FP_NORMAL;
}
int
__quadmath_printf_fphex (struct __quadmath_printf_file *fp,
const struct printf_info *info,
const void *const *args)
{
/* The floating-point value to output. */
ieee854_float128 fpnum;
/* Locale-dependent representation of decimal point. */
const char *decimal;
wchar_t decimalwc;
/* "NaN" or "Inf" for the special cases. */
const char *special = NULL;
const wchar_t *wspecial = NULL;
/* Buffer for the generated number string for the mantissa. The
maximal size for the mantissa is 128 bits. */
char numbuf[32];
char *numstr;
char *numend;
wchar_t wnumbuf[32];
wchar_t *wnumstr;
wchar_t *wnumend;
int negative;
/* The maximal exponent of two in decimal notation has 5 digits. */
char expbuf[5];
char *expstr;
wchar_t wexpbuf[5];
wchar_t *wexpstr;
int expnegative;
int exponent;
/* Non-zero is mantissa is zero. */
int zero_mantissa;
/* The leading digit before the decimal point. */
char leading;
/* Precision. */
int precision = info->prec;
/* Width. */
int width = info->width;
/* Number of characters written. */
int done = 0;
/* Nonzero if this is output on a wide character stream. */
int wide = info->wide;
bool do_round_away;
/* 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
/* Fetch the argument value. */
{
fpnum.value = **(const __float128 **) args[0];
/* Check for special values: not a number or infinity. */
if (isnanq (fpnum.value))
{
negative = fpnum.ieee.negative != 0;
if (isupper (info->spec))
{
special = "NAN";
wspecial = L_("NAN");
}
else
{
special = "nan";
wspecial = L_("nan");
}
}
else
{
if (isinfq (fpnum.value))
{
if (isupper (info->spec))
{
special = "INF";
wspecial = L_("INF");
}
else
{
special = "inf";
wspecial = L_("inf");
}
}
negative = signbitq (fpnum.value);
}
}
if (special)
{
int width = info->width;
if (negative || info->showsign || info->space)
--width;
width -= 3;
if (!info->left && width > 0)
PADN (' ', width);
if (negative)
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 have 112 bits of mantissa plus one implicit digit. Since
112 bits are representable without rest using hexadecimal
digits we use only the implicit digits for the number before
the decimal point. */
uint64_t num0, num1;
assert (sizeof (long double) == 16);
num0 = fpnum.ieee.mant_high;
num1 = fpnum.ieee.mant_low;
zero_mantissa = (num0|num1) == 0;
if (sizeof (unsigned long int) > 6)
{
numstr = _itoa_word (num1, numbuf + sizeof numbuf, 16,
info->spec == 'A');
wnumstr = _itowa_word (num1,
wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t),
16, info->spec == 'A');
}
else
{
numstr = _itoa (num1, numbuf + sizeof numbuf, 16,
info->spec == 'A');
wnumstr = _itowa (num1,
wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t),
16, info->spec == 'A');
}
while (numstr > numbuf + (sizeof numbuf - 64 / 4))
{
*--numstr = '0';
*--wnumstr = L_('0');
}
if (sizeof (unsigned long int) > 6)
{
numstr = _itoa_word (num0, numstr, 16, info->spec == 'A');
wnumstr = _itowa_word (num0, wnumstr, 16, info->spec == 'A');
}
else
{
numstr = _itoa (num0, numstr, 16, info->spec == 'A');
wnumstr = _itowa (num0, wnumstr, 16, info->spec == 'A');
}
/* Fill with zeroes. */
while (numstr > numbuf + (sizeof numbuf - 112 / 4))
{
*--wnumstr = L_('0');
*--numstr = '0';
}
leading = fpnum.ieee.exponent == 0 ? '0' : '1';
exponent = fpnum.ieee.exponent;
if (exponent == 0)
{
if (zero_mantissa)
expnegative = 0;
else
{
/* This is a denormalized number. */
expnegative = 1;
exponent = IEEE854_FLOAT128_BIAS - 1;
}
}
else if (exponent >= IEEE854_FLOAT128_BIAS)
{
expnegative = 0;
exponent -= IEEE854_FLOAT128_BIAS;
}
else
{
expnegative = 1;
exponent = -(exponent - IEEE854_FLOAT128_BIAS);
}
}
/* Look for trailing zeroes. */
if (! zero_mantissa)
{
wnumend = &wnumbuf[sizeof wnumbuf / sizeof wnumbuf[0]];
numend = &numbuf[sizeof numbuf / sizeof numbuf[0]];
while (wnumend[-1] == L_('0'))
{
--wnumend;
--numend;
}
do_round_away = false;
if (precision != -1 && precision < numend - numstr)
{
char last_digit = precision > 0 ? numstr[precision - 1] : leading;
char next_digit = numstr[precision];
int last_digit_value = (last_digit >= 'A' && last_digit <= 'F'
? last_digit - 'A' + 10
: (last_digit >= 'a' && last_digit <= 'f'
? last_digit - 'a' + 10
: last_digit - '0'));
int next_digit_value = (next_digit >= 'A' && next_digit <= 'F'
? next_digit - 'A' + 10
: (next_digit >= 'a' && next_digit <= 'f'
? next_digit - 'a' + 10
: next_digit - '0'));
bool more_bits = ((next_digit_value & 7) != 0
|| precision + 1 < numend - numstr);
#ifdef HAVE_FENV_H
int rounding_mode = get_rounding_mode ();
do_round_away = round_away (negative, last_digit_value & 1,
next_digit_value >= 8, more_bits,
rounding_mode);
#endif
}
if (precision == -1)
precision = numend - numstr;
else if (do_round_away)
{
/* Round up. */
int cnt = precision;
while (--cnt >= 0)
{
char ch = numstr[cnt];
/* We assume that the digits and the letters are ordered
like in ASCII. This is true for the rest of GNU, too. */
if (ch == '9')
{
wnumstr[cnt] = (wchar_t) info->spec;
numstr[cnt] = info->spec; /* This is tricky,
think about it! */
break;
}
else if (tolower (ch) < 'f')
{
++numstr[cnt];
++wnumstr[cnt];
break;
}
else
{
numstr[cnt] = '0';
wnumstr[cnt] = L_('0');
}
}
if (cnt < 0)
{
/* The mantissa so far was fff...f Now increment the
leading digit. Here it is again possible that we
get an overflow. */
if (leading == '9')
leading = info->spec;
else if (tolower (leading) < 'f')
++leading;
else
{
leading = '1';
if (expnegative)
{
exponent -= 4;
if (exponent <= 0)
{
exponent = -exponent;
expnegative = 0;
}
}
else
exponent += 4;
}
}
}
}
else
{
if (precision == -1)
precision = 0;
numend = numstr;
wnumend = wnumstr;
}
/* Now we can compute the exponent string. */
expstr = _itoa_word (exponent, expbuf + sizeof expbuf, 10, 0);
wexpstr = _itowa_word (exponent,
wexpbuf + sizeof wexpbuf / sizeof (wchar_t), 10, 0);
/* Now we have all information to compute the size. */
width -= ((negative || info->showsign || info->space)
/* Sign. */
+ 2 + 1 + 0 + precision + 1 + 1
/* 0x h . hhh P ExpoSign. */
+ ((expbuf + sizeof expbuf) - expstr));
/* Exponent. */
/* Count the decimal point.
A special case when the mantissa or the precision is zero and the `#'
is not given. In this case we must not print the decimal point. */
if (precision > 0 || info->alt)
width -= wide ? 1 : strlen (decimal);
if (!info->left && info->pad != '0' && width > 0)
PADN (' ', width);
if (negative)
outchar ('-');
else if (info->showsign)
outchar ('+');
else if (info->space)
outchar (' ');
outchar ('0');
if ('X' - 'A' == 'x' - 'a')
outchar (info->spec + ('x' - 'a'));
else
outchar (info->spec == 'A' ? 'X' : 'x');
if (!info->left && info->pad == '0' && width > 0)
PADN ('0', width);
outchar (leading);
if (precision > 0 || info->alt)
{
const wchar_t *wtmp = &decimalwc;
PRINT (decimal, wtmp, wide ? 1 : strlen (decimal));
}
if (precision > 0)
{
ssize_t tofill = precision - (numend - numstr);
PRINT (numstr, wnumstr, MIN (numend - numstr, precision));
if (tofill > 0)
PADN ('0', tofill);
}
if ('P' - 'A' == 'p' - 'a')
outchar (info->spec + ('p' - 'a'));
else
outchar (info->spec == 'A' ? 'P' : 'p');
outchar (expnegative ? '-' : '+');
PRINT (expstr, wexpstr, (expbuf + sizeof expbuf) - expstr);
if (info->left && info->pad != '0' && width > 0)
PADN (info->pad, width);
return done;
}
PetscErrorCode PetscIsInfOrNanReal(PetscReal a) {
return isinfq(a) || isnanq(a);
}
PetscErrorCode PetscIsInfOrNanScalar(PetscScalar a)
{
return isinfq(PetscAbsScalar(a)) || isnanq(PetscAbsScalar(a));
}