Blame sysdeps/ieee754/flt-32/s_roundevenf.c

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/* Round to nearest integer value, rounding halfway cases to even.
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   flt-32 version.
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   Copyright (C) 2016-2018 Free Software Foundation, Inc.
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   This file is part of the GNU C Library.
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   The GNU C Library is free software; you can redistribute it and/or
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   modify it under the terms of the GNU Lesser General Public
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   License as published by the Free Software Foundation; either
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   version 2.1 of the License, or (at your option) any later version.
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   The GNU C Library is distributed in the hope that it will be useful,
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   but WITHOUT ANY WARRANTY; without even the implied warranty of
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   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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   Lesser General Public License for more details.
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   You should have received a copy of the GNU Lesser General Public
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   License along with the GNU C Library; if not, see
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   <http://www.gnu.org/licenses/>.  */
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#include <math.h>
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#include <math_private.h>
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#include <libm-alias-float.h>
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#include <stdint.h>
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#define BIAS 0x7f
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#define MANT_DIG 24
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#define MAX_EXP (2 * BIAS + 1)
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float
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__roundevenf (float x)
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{
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  uint32_t ix, ux;
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  GET_FLOAT_WORD (ix, x);
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  ux = ix & 0x7fffffff;
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  int exponent = ux >> (MANT_DIG - 1);
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  if (exponent >= BIAS + MANT_DIG - 1)
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    {
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      /* Integer, infinity or NaN.  */
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      if (exponent == MAX_EXP)
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	/* Infinity or NaN; quiet signaling NaNs.  */
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	return x + x;
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      else
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	return x;
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    }
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  else if (exponent >= BIAS)
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    {
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      /* At least 1; not necessarily an integer.  Locate the bits with
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	 exponents 0 and -1 (when the unbiased exponent is 0, the bit
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	 with exponent 0 is implicit, but as the bias is odd it is OK
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	 to take it from the low bit of the exponent).  */
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      int int_pos = (BIAS + MANT_DIG - 1) - exponent;
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      int half_pos = int_pos - 1;
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      uint32_t half_bit = 1U << half_pos;
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      uint32_t int_bit = 1U << int_pos;
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      if ((ix & (int_bit | (half_bit - 1))) != 0)
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	/* Carry into the exponent works correctly.  No need to test
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	   whether HALF_BIT is set.  */
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	ix += half_bit;
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      ix &= ~(int_bit - 1);
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    }
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  else if (exponent == BIAS - 1 && ux > 0x3f000000)
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    /* Interval (0.5, 1).  */
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    ix = (ix & 0x80000000) | 0x3f800000;
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  else
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    /* Rounds to 0.  */
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    ix &= 0x80000000;
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  SET_FLOAT_WORD (x, ix);
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  return x;
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}
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libm_alias_float (__roundeven, roundeven)