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-rw-r--r--math/fromfp.h174
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diff --git a/math/fromfp.h b/math/fromfp.h
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-/* Round to integer type. Common helper functions.
- Copyright (C) 2016-2017 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 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 <errno.h>
-#include <fenv.h>
-#include <float.h>
-#include <math.h>
-#include <math_private.h>
-#include <stdbool.h>
-#include <stdint.h>
-
-/* The including file should have defined UNSIGNED to 0 (signed return
- type) or 1 (unsigned return type), INEXACT to 0 (no inexact
- exceptions) or 1 (raise inexact exceptions) and RET_TYPE to the
- return type (intmax_t or uintmax_t). */
-
-/* Return the maximum unbiased exponent for an argument (negative if
- NEGATIVE is set) that might be in range for a call to a fromfp
- function with width WIDTH (greater than 0, and not exceeding that
- of intmax_t). The truncated argument may still be out of range in
- the case of negative arguments, and if not out of range it may
- become out of range as a result of rounding. */
-
-static int
-fromfp_max_exponent (bool negative, int width)
-{
- if (UNSIGNED)
- return negative ? -1 : width - 1;
- else
- return negative ? width - 1 : width - 2;
-}
-
-/* Return the result of rounding an integer value X (passed as the
- absolute value; NEGATIVE is true if the value is negative), where
- HALF_BIT is true if the bit with value 0.5 is set and MORE_BITS is
- true if any lower bits are set, in the rounding direction
- ROUND. */
-
-static uintmax_t
-fromfp_round (bool negative, uintmax_t x, bool half_bit, bool more_bits,
- int round)
-{
- switch (round)
- {
- case FP_INT_UPWARD:
- return x + (!negative && (half_bit || more_bits));
-
- case FP_INT_DOWNWARD:
- return x + (negative && (half_bit || more_bits));
-
- case FP_INT_TOWARDZERO:
- default:
- /* Unknown rounding directions are defined to mean unspecified
- rounding; treat this as truncation. */
- return x;
-
- case FP_INT_TONEARESTFROMZERO:
- return x + half_bit;
-
- case FP_INT_TONEAREST:
- return x + (half_bit && ((x & 1) || more_bits));
- }
-}
-
-/* Integer rounding, of a value whose exponent EXPONENT did not exceed
- the maximum exponent MAX_EXPONENT and so did not necessarily
- overflow, has produced X (possibly wrapping to 0); the sign is
- negative if NEGATIVE is true. Return whether this overflowed the
- allowed width. */
-
-static bool
-fromfp_overflowed (bool negative, uintmax_t x, int exponent, int max_exponent)
-{
- if (UNSIGNED)
- {
- if (negative)
- return x != 0;
- else if (max_exponent == INTMAX_WIDTH - 1)
- return exponent == INTMAX_WIDTH - 1 && x == 0;
- else
- return x == (1ULL << (max_exponent + 1));
- }
- else
- {
- if (negative)
- return exponent == max_exponent && x != (1ULL << max_exponent);
- else
- return x == (1ULL << (max_exponent + 1));
- }
-}
-
-/* Handle a domain error for a call to a fromfp function with an
- argument which is negative if NEGATIVE is set, and specified width
- (not exceeding that of intmax_t) WIDTH. The return value is
- unspecified (with it being unclear if the result needs to fit
- within WIDTH bits in this case); we choose to saturate to the given
- number of bits (treating NaNs like any other value). */
-
-static RET_TYPE
-fromfp_domain_error (bool negative, unsigned int width)
-{
- feraiseexcept (FE_INVALID);
- __set_errno (EDOM);
- /* The return value is unspecified; we choose to saturate to the
- given number of bits (treating NaNs like any other value). */
- if (UNSIGNED)
- {
- if (negative)
- return 0;
- else if (width == INTMAX_WIDTH)
- return -1;
- else
- return (1ULL << width) - 1;
- }
- else
- {
- if (width == 0)
- return 0;
- else if (negative)
- return -(1ULL << (width - 1));
- else
- return (1ULL << (width - 1)) - 1;
- }
-}
-
-/* Given X, the absolute value of a floating-point number (negative if
- NEGATIVE is set) truncated towards zero, where HALF_BIT is true if
- the bit with value 0.5 is set and MORE_BITS is true if any lower
- bits are set, round it in the rounding direction ROUND, handle
- errors and exceptions and return the appropriate return value for a
- fromfp function. X originally had floating-point exponent
- EXPONENT, which does not exceed MAX_EXPONENT, the return value from
- fromfp_max_exponent with width WIDTH. */
-
-static RET_TYPE
-fromfp_round_and_return (bool negative, uintmax_t x, bool half_bit,
- bool more_bits, int round, int exponent,
- int max_exponent, unsigned int width)
-{
- uintmax_t uret = fromfp_round (negative, x, half_bit, more_bits, round);
- if (fromfp_overflowed (negative, uret, exponent, max_exponent))
- return fromfp_domain_error (negative, width);
-
- if (INEXACT && (half_bit || more_bits))
- {
- /* There is no need for this to use the specific floating-point
- type for which this header is included, and there is no need
- for this header to know that type at all, so just use float
- here. */
- float force_inexact = 1.0f + FLT_MIN;
- math_force_eval (force_inexact);
- }
- if (UNSIGNED)
- /* A negative argument not rounding to zero will already have
- produced a domain error. */
- return uret;
- else
- return negative ? -uret : uret;
-}