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/* Copyright (C) 2007, 2009  Free Software Foundation, Inc.
/* Copyright (C) 2007, 2009  Free Software Foundation, Inc.
 
 
This file is part of GCC.
This file is part of GCC.
 
 
GCC is free software; you can redistribute it and/or modify it under
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
Software Foundation; either version 3, or (at your option) any later
version.
version.
 
 
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.
for more details.
 
 
Under Section 7 of GPL version 3, you are granted additional
Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.
3.1, as published by the Free Software Foundation.
 
 
You should have received a copy of the GNU General Public License and
You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */
<http://www.gnu.org/licenses/>.  */
 
 
#include "bid_internal.h"
#include "bid_internal.h"
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_rnint
 *  BID128_to_int64_rnint
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_rnint,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_rnint,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     UINT64 tmp64;
     UINT64 tmp64;
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull) ||
if ((C1.w[1] > 0x0001ed09bead87c0ull) ||
    (C1.w[1] == 0x0001ed09bead87c0ull
    (C1.w[1] == 0x0001ed09bead87c0ull
     && (C1.w[0] > 0x378d8e63ffffffffull))
     && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n < -2^63 - 1/2 then n is too large
      // if n < -2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 - 1/2 then n is too large
      // if n >= 2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffffbull;
      C.w[0] = 0xfffffffffffffffbull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
    // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1)
    // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1)
    //   res = 0
    //   res = 0
    // else
    // else
    //   res = +/-1
    //   res = +/-1
    ind = q - 1;
    ind = q - 1;
    if (ind <= 18) {    // 0 <= ind <= 18
    if (ind <= 18) {    // 0 <= ind <= 18
      if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) {
      if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    } else {    // 19 <= ind <= 33
    } else {    // 19 <= ind <= 33
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
              && (C1.w[0] <= midpoint128[ind - 19].w[0]))) {
              && (C1.w[0] <= midpoint128[ind - 19].w[0]))) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    }
    }
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // to nearest to a 64-bit signed integer
    // to nearest to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      tmp64 = C1.w[0];
      tmp64 = C1.w[0];
      if (ind <= 19) {
      if (ind <= 19) {
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
      } else {
      } else {
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
      }
      }
      if (C1.w[0] < tmp64)
      if (C1.w[0] < tmp64)
        C1.w[1]++;
        C1.w[1]++;
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //       shift; C* has p decimal digits, correct by Pr. 1)
      //       shift; C* has p decimal digits, correct by Pr. 1)
      // else
      // else
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //       correct by Property 1)
      //       correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // if the result was a midpoint it was rounded away from zero, so
      // if the result was a midpoint it was rounded away from zero, so
      // it will need a correction
      // it will need a correction
      // check for midpoints
      // check for midpoints
      if ((fstar.w[3] == 0) && (fstar.w[2] == 0) &&
      if ((fstar.w[3] == 0) && (fstar.w[2] == 0) &&
          (fstar.w[1] || fstar.w[0]) &&
          (fstar.w[1] || fstar.w[0]) &&
          (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] ||
          (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] ||
           (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
           (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
            fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) {
            fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) {
        // the result is a midpoint; round to nearest
        // the result is a midpoint; round to nearest
        if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD]
        if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD]
          // if floor(C*) is odd C = floor(C*) - 1; the result >= 1
          // if floor(C*) is odd C = floor(C*) - 1; the result >= 1
          Cstar.w[0]--;  // Cstar.w[0] is now even
          Cstar.w[0]--;  // Cstar.w[0] is now even
        }       // else MP in [ODD, EVEN]
        }       // else MP in [ODD, EVEN]
      }
      }
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_xrnint
 *  BID128_to_int64_xrnint
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
                                          bid128_to_int64_xrnint, x)
                                          bid128_to_int64_xrnint, x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     UINT64 tmp64, tmp64A;
     UINT64 tmp64, tmp64A;
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n < -2^63 - 1/2 then n is too large
      // if n < -2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 - 1/2 then n is too large
      // if n >= 2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffffbull;
      C.w[0] = 0xfffffffffffffffbull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
    // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1)
    // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1)
    //   res = 0
    //   res = 0
    // else
    // else
    //   res = +/-1
    //   res = +/-1
    ind = q - 1;
    ind = q - 1;
    if (ind <= 18) {    // 0 <= ind <= 18
    if (ind <= 18) {    // 0 <= ind <= 18
      if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) {
      if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    } else {    // 19 <= ind <= 33
    } else {    // 19 <= ind <= 33
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
              && (C1.w[0] <= midpoint128[ind - 19].w[0]))) {
              && (C1.w[0] <= midpoint128[ind - 19].w[0]))) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    }
    }
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // to nearest to a 64-bit signed integer
    // to nearest to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      tmp64 = C1.w[0];
      tmp64 = C1.w[0];
      if (ind <= 19) {
      if (ind <= 19) {
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
      } else {
      } else {
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
      }
      }
      if (C1.w[0] < tmp64)
      if (C1.w[0] < tmp64)
        C1.w[1]++;
        C1.w[1]++;
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //       shift; C* has p decimal digits, correct by Pr. 1)
      //       shift; C* has p decimal digits, correct by Pr. 1)
      // else
      // else
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //       correct by Property 1)
      //       correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* - 1/2 < 10^(-x)) then
      // if (0 < f* - 1/2 < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* - 1/2 > T*) then
      // else // if (f* - 1/2 > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > 0x8000000000000000ull ||
        if (fstar.w[1] > 0x8000000000000000ull ||
            (fstar.w[1] == 0x8000000000000000ull
            (fstar.w[1] == 0x8000000000000000ull
             && fstar.w[0] > 0x0ull)) {
             && fstar.w[0] > 0x0ull)) {
          // f* > 1/2 and the result may be exact
          // f* > 1/2 and the result may be exact
          tmp64 = fstar.w[1] - 0x8000000000000000ull;   // f* - 1/2
          tmp64 = fstar.w[1] - 0x8000000000000000ull;   // f* - 1/2
          if (tmp64 > ten2mk128trunc[ind - 1].w[1]
          if (tmp64 > ten2mk128trunc[ind - 1].w[1]
              || (tmp64 == ten2mk128trunc[ind - 1].w[1]
              || (tmp64 == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[3] > 0x0 ||
        if (fstar.w[3] > 0x0 ||
            (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) ||
            (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) ||
            (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] &&
            (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] &&
             (fstar.w[1] || fstar.w[0]))) {
             (fstar.w[1] || fstar.w[0]))) {
          // f2* > 1/2 and the result may be exact
          // f2* > 1/2 and the result may be exact
          // Calculate f2* - 1/2
          // Calculate f2* - 1/2
          tmp64 = fstar.w[2] - onehalf128[ind - 1];
          tmp64 = fstar.w[2] - onehalf128[ind - 1];
          tmp64A = fstar.w[3];
          tmp64A = fstar.w[3];
          if (tmp64 > fstar.w[2])
          if (tmp64 > fstar.w[2])
            tmp64A--;
            tmp64A--;
          if (tmp64A || tmp64
          if (tmp64A || tmp64
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] > onehalf128[ind - 1] ||
        if (fstar.w[3] > onehalf128[ind - 1] ||
            (fstar.w[3] == onehalf128[ind - 1] &&
            (fstar.w[3] == onehalf128[ind - 1] &&
             (fstar.w[2] || fstar.w[1] || fstar.w[0]))) {
             (fstar.w[2] || fstar.w[1] || fstar.w[0]))) {
          // f2* > 1/2 and the result may be exact
          // f2* > 1/2 and the result may be exact
          // Calculate f2* - 1/2
          // Calculate f2* - 1/2
          tmp64 = fstar.w[3] - onehalf128[ind - 1];
          tmp64 = fstar.w[3] - onehalf128[ind - 1];
          if (tmp64 || fstar.w[2]
          if (tmp64 || fstar.w[2]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      }
      }
 
 
      // if the result was a midpoint it was rounded away from zero, so
      // if the result was a midpoint it was rounded away from zero, so
      // it will need a correction
      // it will need a correction
      // check for midpoints
      // check for midpoints
      if ((fstar.w[3] == 0) && (fstar.w[2] == 0) &&
      if ((fstar.w[3] == 0) && (fstar.w[2] == 0) &&
          (fstar.w[1] || fstar.w[0]) &&
          (fstar.w[1] || fstar.w[0]) &&
          (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] ||
          (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] ||
           (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
           (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
            fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) {
            fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) {
        // the result is a midpoint; round to nearest
        // the result is a midpoint; round to nearest
        if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD]
        if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD]
          // if floor(C*) is odd C = floor(C*) - 1; the result >= 1
          // if floor(C*) is odd C = floor(C*) - 1; the result >= 1
          Cstar.w[0]--;  // Cstar.w[0] is now even
          Cstar.w[0]--;  // Cstar.w[0] is now even
        }       // else MP in [ODD, EVEN]
        }       // else MP in [ODD, EVEN]
      }
      }
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_floor
 *  BID128_to_int64_floor
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_floor,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_floor,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
 
 
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n < -2^63 then n is too large
      // if n < -2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 then n is too large
      // if n >= 2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // return -1 or 0
    // return -1 or 0
    if (x_sign)
    if (x_sign)
      res = 0xffffffffffffffffull;
      res = 0xffffffffffffffffull;
    else
    else
      res = 0x0000000000000000ull;
      res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded
    // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded
    // toward zero to a 64-bit signed integer
    // toward zero to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // if the result is negative and inexact, need to add 1 to it
      // if the result is negative and inexact, need to add 1 to it
 
 
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* < 10^(-x)) then
      // if (0 < f* < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* > T*) then
      // else // if (f* > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] ||
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] ||
            (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
            (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
             fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
             fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] || fstar.w[2]
        if (fstar.w[3] || fstar.w[2]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      }
      }
 
 
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_xfloor
 *  BID128_to_int64_xfloor
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
                                          bid128_to_int64_xfloor, x)
                                          bid128_to_int64_xfloor, x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n < -2^63 then n is too large
      // if n < -2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 then n is too large
      // if n >= 2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
    // return -1 or 0
    // return -1 or 0
    if (x_sign)
    if (x_sign)
      res = 0xffffffffffffffffull;
      res = 0xffffffffffffffffull;
    else
    else
      res = 0x0000000000000000ull;
      res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded
    // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded
    // toward zero to a 64-bit signed integer
    // toward zero to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // if the result is negative and inexact, need to add 1 to it
      // if the result is negative and inexact, need to add 1 to it
 
 
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* < 10^(-x)) then
      // if (0 < f* < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* > T*) then
      // else // if (f* > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] ||
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] ||
            (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
            (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] &&
             fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
             fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] || fstar.w[2]
        if (fstar.w[3] || fstar.w[2]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (x_sign) { // positive and inexact
          if (x_sign) { // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      }
      }
 
 
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_ceil
 *  BID128_to_int64_ceil
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_ceil,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_ceil,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1 then n is too large
      // if n <= -2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x000000000000000aull;
      C.w[0] = 0x000000000000000aull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n > 2^63 - 1 then n is too large
      // if n > 2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffff6ull;
      C.w[0] = 0xfffffffffffffff6ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1
  // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // return 0 or 1
    // return 0 or 1
    if (x_sign)
    if (x_sign)
      res = 0x0000000000000000ull;
      res = 0x0000000000000000ull;
    else
    else
      res = 0x0000000000000001ull;
      res = 0x0000000000000001ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded
    // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded
    // up to a 64-bit signed integer
    // up to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // if the result is positive and inexact, need to add 1 to it
      // if the result is positive and inexact, need to add 1 to it
 
 
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* < 10^(-x)) then
      // if (0 < f* < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* > T*) then
      // else // if (f* > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] || fstar.w[2]
        if (fstar.w[3] || fstar.w[2]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
        }       // else the result is exact
        }       // else the result is exact
      }
      }
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_xceil
 *  BID128_to_int64_xceil
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xceil,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xceil,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1 then n is too large
      // if n <= -2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x000000000000000aull;
      C.w[0] = 0x000000000000000aull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n > 2^63 - 1 then n is too large
      // if n > 2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffff6ull;
      C.w[0] = 0xfffffffffffffff6ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1
  // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
    // return 0 or 1
    // return 0 or 1
    if (x_sign)
    if (x_sign)
      res = 0x0000000000000000ull;
      res = 0x0000000000000000ull;
    else
    else
      res = 0x0000000000000001ull;
      res = 0x0000000000000001ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded
    // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded
    // up to a 64-bit signed integer
    // up to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // if the result is positive and inexact, need to add 1 to it
      // if the result is positive and inexact, need to add 1 to it
 
 
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* < 10^(-x)) then
      // if (0 < f* < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* > T*) then
      // else // if (f* > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] || fstar.w[2]
        if (fstar.w[3] || fstar.w[2]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          if (!x_sign) {        // positive and inexact
          if (!x_sign) {        // positive and inexact
            Cstar.w[0]++;
            Cstar.w[0]++;
            if (Cstar.w[0] == 0x0)
            if (Cstar.w[0] == 0x0)
              Cstar.w[1]++;
              Cstar.w[1]++;
          }
          }
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      }
      }
 
 
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_int
 *  BID128_to_int64_int
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_int,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_int,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1 then n is too large
      // if n <= -2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x000000000000000aull;
      C.w[0] = 0x000000000000000aull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 then n is too large
      // if n >= 2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded
    // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded
    // toward zero to a 64-bit signed integer
    // toward zero to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_xint64_xint
 *  BID128_to_xint64_xint
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xint,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xint,
                                          x)
                                          x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1 then n is too large
      // if n <= -2^63 - 1 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x000000000000000aull;
      C.w[0] = 0x000000000000000aull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 then n is too large
      // if n >= 2^63 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0x0000000000000000ull;
      C.w[0] = 0x0000000000000000ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // n is not too large to be converted to int64: -2^63-1 < n < 2^63
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
  if ((q + exp) <= 0) {  // n = +/-0.[0...0]c(0)c(1)...c(q-1)
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded
    // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded
    // toward zero to a 64-bit signed integer
    // toward zero to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 fits in 127 bits
      // C1 fits in 127 bits
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = C1 * 10^(-x)
      // C* = C1 * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      // C* = floor(C*) (logical right shift; C has p decimal digits,
      //     correct by Property 1)
      //     correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* < 10^(-x)) then
      // if (0 < f* < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* > T*) then
      // else // if (f* > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }       // else the result is exact
        }       // else the result is exact
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
        if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] || fstar.w[2]
        if (fstar.w[3] || fstar.w[2]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
            || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      }
      }
 
 
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_rninta
 *  BID128_to_int64_rninta
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
                                          bid128_to_int64_rninta, x)
                                          bid128_to_int64_rninta, x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     UINT64 tmp64;
     UINT64 tmp64;
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1/2 then n is too large
      // if n <= -2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 - 1/2 then n is too large
      // if n >= 2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffffbull;
      C.w[0] = 0xfffffffffffffffbull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
    // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1)
    // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1)
    //   res = 0
    //   res = 0
    // else
    // else
    //   res = +/-1
    //   res = +/-1
    ind = q - 1;
    ind = q - 1;
    if (ind <= 18) {    // 0 <= ind <= 18
    if (ind <= 18) {    // 0 <= ind <= 18
      if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) {
      if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    } else {    // 19 <= ind <= 33
    } else {    // 19 <= ind <= 33
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
              && (C1.w[0] < midpoint128[ind - 19].w[0]))) {
              && (C1.w[0] < midpoint128[ind - 19].w[0]))) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    }
    }
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // to nearest to a 64-bit signed integer
    // to nearest to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      tmp64 = C1.w[0];
      tmp64 = C1.w[0];
      if (ind <= 19) {
      if (ind <= 19) {
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
      } else {
      } else {
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
      }
      }
      if (C1.w[0] < tmp64)
      if (C1.w[0] < tmp64)
        C1.w[1]++;
        C1.w[1]++;
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //       shift; C* has p decimal digits, correct by Pr. 1)
      //       shift; C* has p decimal digits, correct by Pr. 1)
      // else
      // else
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //       correct by Property 1)
      //       correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
 
 
      // if the result was a midpoint it was rounded away from zero
      // if the result was a midpoint it was rounded away from zero
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
/*****************************************************************************
/*****************************************************************************
 *  BID128_to_int64_xrninta
 *  BID128_to_int64_xrninta
 ****************************************************************************/
 ****************************************************************************/
 
 
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64,
                                          bid128_to_int64_xrninta, x)
                                          bid128_to_int64_xrninta, x)
 
 
     SINT64 res;
     SINT64 res;
     UINT64 x_sign;
     UINT64 x_sign;
     UINT64 x_exp;
     UINT64 x_exp;
     int exp;                   // unbiased exponent
     int exp;                   // unbiased exponent
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
  // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64)
     UINT64 tmp64, tmp64A;
     UINT64 tmp64, tmp64A;
     BID_UI64DOUBLE tmp1;
     BID_UI64DOUBLE tmp1;
     unsigned int x_nr_bits;
     unsigned int x_nr_bits;
     int q, ind, shift;
     int q, ind, shift;
     UINT128 C1, C;
     UINT128 C1, C;
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT128 Cstar;             // C* represents up to 34 decimal digits ~ 113 bits
     UINT256 fstar;
     UINT256 fstar;
     UINT256 P256;
     UINT256 P256;
 
 
  // unpack x
  // unpack x
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_sign = x.w[1] & MASK_SIGN;    // 0 for positive, MASK_SIGN for negative
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
x_exp = x.w[1] & MASK_EXP;      // biased and shifted left 49 bit positions
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[1] = x.w[1] & MASK_COEFF;
C1.w[0] = x.w[0];
C1.w[0] = x.w[0];
 
 
  // check for NaN or Infinity
  // check for NaN or Infinity
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) {
    // x is special
    // x is special
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
if ((x.w[1] & MASK_NAN) == MASK_NAN) {  // x is NAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
  if ((x.w[1] & MASK_SNAN) == MASK_SNAN) {      // x is SNAN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is QNaN
  } else {      // x is QNaN
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not a NaN, so it must be infinity
} else {        // x is not a NaN, so it must be infinity
  if (!x_sign) {        // x is +inf
  if (!x_sign) {        // x is +inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  } else {      // x is -inf
  } else {      // x is -inf
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
}
}
  // check for non-canonical values (after the check for special values)
  // check for non-canonical values (after the check for special values)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
if ((C1.w[1] > 0x0001ed09bead87c0ull)
    || (C1.w[1] == 0x0001ed09bead87c0ull
    || (C1.w[1] == 0x0001ed09bead87c0ull
        && (C1.w[0] > 0x378d8e63ffffffffull))
        && (C1.w[0] > 0x378d8e63ffffffffull))
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
    || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) {
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) {
  // x is 0
  // x is 0
  res = 0x0000000000000000ull;
  res = 0x0000000000000000ull;
  BID_RETURN (res);
  BID_RETURN (res);
} else {        // x is not special and is not zero
} else {        // x is not special and is not zero
 
 
  // q = nr. of decimal digits in x
  // q = nr. of decimal digits in x
  //  determine first the nr. of bits in x
  //  determine first the nr. of bits in x
  if (C1.w[1] == 0) {
  if (C1.w[1] == 0) {
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
    if (C1.w[0] >= 0x0020000000000000ull) {      // x >= 2^53
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      // split the 64-bit value in two 32-bit halves to avoid rounding errors
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
      if (C1.w[0] >= 0x0000000100000000ull) {    // x >= 2^32
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        tmp1.d = (double) (C1.w[0] >> 32);       // exact conversion
        x_nr_bits =
        x_nr_bits =
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      } else {  // x < 2^32
      } else {  // x < 2^32
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        tmp1.d = (double) (C1.w[0]);     // exact conversion
        x_nr_bits =
        x_nr_bits =
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
          1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      }
      }
    } else {    // if x < 2^53
    } else {    // if x < 2^53
      tmp1.d = (double) C1.w[0]; // exact conversion
      tmp1.d = (double) C1.w[0]; // exact conversion
      x_nr_bits =
      x_nr_bits =
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
        1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
    }
    }
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
  } else {      // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1])
    tmp1.d = (double) C1.w[1];  // exact conversion
    tmp1.d = (double) C1.w[1];  // exact conversion
    x_nr_bits =
    x_nr_bits =
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
      65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff);
  }
  }
  q = nr_digits[x_nr_bits - 1].digits;
  q = nr_digits[x_nr_bits - 1].digits;
  if (q == 0) {
  if (q == 0) {
    q = nr_digits[x_nr_bits - 1].digits1;
    q = nr_digits[x_nr_bits - 1].digits1;
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
    if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
        || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
            && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo))
      q++;
      q++;
  }
  }
  exp = (x_exp >> 49) - 6176;
  exp = (x_exp >> 49) - 6176;
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
  if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64)
    // set invalid flag
    // set invalid flag
    *pfpsf |= INVALID_EXCEPTION;
    *pfpsf |= INVALID_EXCEPTION;
    // return Integer Indefinite
    // return Integer Indefinite
    res = 0x8000000000000000ull;
    res = 0x8000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
  } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1)
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43...
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // so x rounded to an integer may or may not fit in a signed 64-bit int
    // the cases that do not fit are identified here; the ones that fit
    // the cases that do not fit are identified here; the ones that fit
    // fall through and will be handled with other cases further,
    // fall through and will be handled with other cases further,
    // under '1 <= q + exp <= 19'
    // under '1 <= q + exp <= 19'
    if (x_sign) {       // if n < 0 and q + exp = 19
    if (x_sign) {       // if n < 0 and q + exp = 19
      // if n <= -2^63 - 1/2 then n is too large
      // if n <= -2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34
      // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34
      C.w[1] = 0x0000000000000005ull;
      C.w[1] = 0x0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      C.w[0] = 0000000000000005ull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 => 
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag
        // set invalid flag
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite
        // return Integer Indefinite
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19'
      // to '1 <= q + exp <= 19'
    } else {    // if n > 0 and q + exp = 19
    } else {    // if n > 0 and q + exp = 19
      // if n >= 2^63 - 1/2 then n is too large
      // if n >= 2^63 - 1/2 then n is too large
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34
      C.w[1] = 0x0000000000000004ull;
      C.w[1] = 0x0000000000000004ull;
      C.w[0] = 0xfffffffffffffffbull;
      C.w[0] = 0xfffffffffffffffbull;
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
      if (q <= 19) {    // 1 <= q <= 19 => 1 <= 20-q <= 19 =>
        // 10^(20-q) is 64-bit, and so is C1
        // 10^(20-q) is 64-bit, and so is C1
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
        __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]);
      } else if (q == 20) {
      } else if (q == 20) {
        ;       // C1 * 10^0 = C1
        ;       // C1 * 10^0 = C1
      } else {  // if 21 <= q <= 34
      } else {  // if 21 <= q <= 34
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
        __mul_128x64_to_128 (C, ten2k64[q - 20], C);    // max 47-bit x 67-bit
      }
      }
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
      if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) {
        // set invalid flag 
        // set invalid flag 
        *pfpsf |= INVALID_EXCEPTION;
        *pfpsf |= INVALID_EXCEPTION;
        // return Integer Indefinite 
        // return Integer Indefinite 
        res = 0x8000000000000000ull;
        res = 0x8000000000000000ull;
        BID_RETURN (res);
        BID_RETURN (res);
      }
      }
      // else cases that can be rounded to a 64-bit int fall through
      // else cases that can be rounded to a 64-bit int fall through
      // to '1 <= q + exp <= 19' 
      // to '1 <= q + exp <= 19' 
    }
    }
  }
  }
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2
  // Note: some of the cases tested for above fall through to this point
  // Note: some of the cases tested for above fall through to this point
  // Restore C1 which may have been modified above
  // Restore C1 which may have been modified above
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[1] = x.w[1] & MASK_COEFF;
  C1.w[0] = x.w[0];
  C1.w[0] = x.w[0];
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
  if ((q + exp) < 0) {   // n = +/-0.0...c(0)c(1)...c(q-1)
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
    // return 0
    // return 0
    res = 0x0000000000000000ull;
    res = 0x0000000000000000ull;
    BID_RETURN (res);
    BID_RETURN (res);
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
  } else if ((q + exp) == 0) {   // n = +/-0.c(0)c(1)...c(q-1)
    // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1)
    // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1)
    //   res = 0
    //   res = 0
    // else
    // else
    //   res = +/-1
    //   res = +/-1
    ind = q - 1;
    ind = q - 1;
    if (ind <= 18) {    // 0 <= ind <= 18
    if (ind <= 18) {    // 0 <= ind <= 18
      if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) {
      if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    } else {    // 19 <= ind <= 33
    } else {    // 19 <= ind <= 33
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
      if ((C1.w[1] < midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
          || ((C1.w[1] == midpoint128[ind - 19].w[1])
              && (C1.w[0] < midpoint128[ind - 19].w[0]))) {
              && (C1.w[0] < midpoint128[ind - 19].w[0]))) {
        res = 0x0000000000000000ull;    // return 0
        res = 0x0000000000000000ull;    // return 0
      } else if (x_sign) {      // n < 0
      } else if (x_sign) {      // n < 0
        res = 0xffffffffffffffffull;    // return -1
        res = 0xffffffffffffffffull;    // return -1
      } else {  // n > 0
      } else {  // n > 0
        res = 0x0000000000000001ull;    // return +1
        res = 0x0000000000000001ull;    // return +1
      }
      }
    }
    }
    // set inexact flag
    // set inexact flag
    *pfpsf |= INEXACT_EXCEPTION;
    *pfpsf |= INEXACT_EXCEPTION;
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
  } else {      // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18)
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded
    // to nearest to a 64-bit signed integer
    // to nearest to a 64-bit signed integer
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
    if (exp < 0) {       // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      ind = -exp;       // 1 <= ind <= 33; ind is a synonym for 'x'
      // chop off ind digits from the lower part of C1
      // chop off ind digits from the lower part of C1
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits
      tmp64 = C1.w[0];
      tmp64 = C1.w[0];
      if (ind <= 19) {
      if (ind <= 19) {
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
        C1.w[0] = C1.w[0] + midpoint64[ind - 1];
      } else {
      } else {
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
        C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1];
      }
      }
      if (C1.w[0] < tmp64)
      if (C1.w[0] < tmp64)
        C1.w[1]++;
        C1.w[1]++;
      // calculate C* and f*
      // calculate C* and f*
      // C* is actually floor(C*) in this case
      // C* is actually floor(C*) in this case
      // C* and f* need shifting and masking, as shown by
      // C* and f* need shifting and masking, as shown by
      // shiftright128[] and maskhigh128[]
      // shiftright128[] and maskhigh128[]
      // 1 <= x <= 33
      // 1 <= x <= 33
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // kx = 10^(-x) = ten2mk128[ind - 1]
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // C* = (C1 + 1/2 * 10^x) * 10^(-x)
      // the approximation of 10^(-x) was rounded up to 118 bits
      // the approximation of 10^(-x) was rounded up to 118 bits
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]);
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[1] = P256.w[3];
        Cstar.w[1] = P256.w[3];
        Cstar.w[0] = P256.w[2];
        Cstar.w[0] = P256.w[2];
        fstar.w[3] = 0;
        fstar.w[3] = 0;
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2] & maskhigh128[ind - 1];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[1] = 0;
        Cstar.w[1] = 0;
        Cstar.w[0] = P256.w[3];
        Cstar.w[0] = P256.w[3];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[3] = P256.w[3] & maskhigh128[ind - 1];
        fstar.w[2] = P256.w[2];
        fstar.w[2] = P256.w[2];
        fstar.w[1] = P256.w[1];
        fstar.w[1] = P256.w[1];
        fstar.w[0] = P256.w[0];
        fstar.w[0] = P256.w[0];
      }
      }
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g.
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      // if (0 < f* < 10^(-x)) then the result is a midpoint
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //   if floor(C*) is even then C* = floor(C*) - logical right
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //       shift; C* has p decimal digits, correct by Prop. 1)
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //   else if floor(C*) is odd C* = floor(C*)-1 (logical right
      //       shift; C* has p decimal digits, correct by Pr. 1)
      //       shift; C* has p decimal digits, correct by Pr. 1)
      // else
      // else
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //   C* = floor(C*) (logical right shift; C has p decimal digits,
      //       correct by Property 1)
      //       correct by Property 1)
      // n = C* * 10^(e+x)
      // n = C* * 10^(e+x)
 
 
      // shift right C* by Ex-128 = shiftright128[ind]
      // shift right C* by Ex-128 = shiftright128[ind]
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      shift = shiftright128[ind - 1];   // 0 <= shift <= 102
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
      if (ind - 1 <= 21) {      // 0 <= ind - 1 <= 21
        Cstar.w[0] =
        Cstar.w[0] =
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
          (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift));
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
        // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift);
      } else {  // 22 <= ind - 1 <= 33
      } else {  // 22 <= ind - 1 <= 33
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
        Cstar.w[0] = (Cstar.w[0] >> (shift - 64));        // 2 <= shift - 64 <= 38
      }
      }
      // determine inexactness of the rounding of C*
      // determine inexactness of the rounding of C*
      // if (0 < f* - 1/2 < 10^(-x)) then
      // if (0 < f* - 1/2 < 10^(-x)) then
      //   the result is exact
      //   the result is exact
      // else // if (f* - 1/2 > T*) then
      // else // if (f* - 1/2 > T*) then
      //   the result is inexact
      //   the result is inexact
      if (ind - 1 <= 2) {
      if (ind - 1 <= 2) {
        if (fstar.w[1] > 0x8000000000000000ull ||
        if (fstar.w[1] > 0x8000000000000000ull ||
            (fstar.w[1] == 0x8000000000000000ull
            (fstar.w[1] == 0x8000000000000000ull
             && fstar.w[0] > 0x0ull)) {
             && fstar.w[0] > 0x0ull)) {
          // f* > 1/2 and the result may be exact
          // f* > 1/2 and the result may be exact
          tmp64 = fstar.w[1] - 0x8000000000000000ull;   // f* - 1/2
          tmp64 = fstar.w[1] - 0x8000000000000000ull;   // f* - 1/2
          if (tmp64 > ten2mk128trunc[ind - 1].w[1]
          if (tmp64 > ten2mk128trunc[ind - 1].w[1]
              || (tmp64 == ten2mk128trunc[ind - 1].w[1]
              || (tmp64 == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
      } else if (ind - 1 <= 21) {       // if 3 <= ind <= 21
        if (fstar.w[3] > 0x0 ||
        if (fstar.w[3] > 0x0 ||
            (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) ||
            (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) ||
            (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] &&
            (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] &&
             (fstar.w[1] || fstar.w[0]))) {
             (fstar.w[1] || fstar.w[0]))) {
          // f2* > 1/2 and the result may be exact
          // f2* > 1/2 and the result may be exact
          // Calculate f2* - 1/2
          // Calculate f2* - 1/2
          tmp64 = fstar.w[2] - onehalf128[ind - 1];
          tmp64 = fstar.w[2] - onehalf128[ind - 1];
          tmp64A = fstar.w[3];
          tmp64A = fstar.w[3];
          if (tmp64 > fstar.w[2])
          if (tmp64 > fstar.w[2])
            tmp64A--;
            tmp64A--;
          if (tmp64A || tmp64
          if (tmp64A || tmp64
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      } else {  // if 22 <= ind <= 33
      } else {  // if 22 <= ind <= 33
        if (fstar.w[3] > onehalf128[ind - 1] ||
        if (fstar.w[3] > onehalf128[ind - 1] ||
            (fstar.w[3] == onehalf128[ind - 1] &&
            (fstar.w[3] == onehalf128[ind - 1] &&
             (fstar.w[2] || fstar.w[1] || fstar.w[0]))) {
             (fstar.w[2] || fstar.w[1] || fstar.w[0]))) {
          // f2* > 1/2 and the result may be exact
          // f2* > 1/2 and the result may be exact
          // Calculate f2* - 1/2
          // Calculate f2* - 1/2
          tmp64 = fstar.w[3] - onehalf128[ind - 1];
          tmp64 = fstar.w[3] - onehalf128[ind - 1];
          if (tmp64 || fstar.w[2]
          if (tmp64 || fstar.w[2]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || fstar.w[1] > ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
              || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1]
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
                  && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) {
            // set the inexact flag
            // set the inexact flag
            *pfpsf |= INEXACT_EXCEPTION;
            *pfpsf |= INEXACT_EXCEPTION;
          }     // else the result is exact
          }     // else the result is exact
        } else {        // the result is inexact; f2* <= 1/2
        } else {        // the result is inexact; f2* <= 1/2
          // set the inexact flag
          // set the inexact flag
          *pfpsf |= INEXACT_EXCEPTION;
          *pfpsf |= INEXACT_EXCEPTION;
        }
        }
      }
      }
 
 
      // if the result was a midpoint it was rounded away from zero
      // if the result was a midpoint it was rounded away from zero
      if (x_sign)
      if (x_sign)
        res = -Cstar.w[0];
        res = -Cstar.w[0];
      else
      else
        res = Cstar.w[0];
        res = Cstar.w[0];
    } else if (exp == 0) {
    } else if (exp == 0) {
      // 1 <= q <= 19
      // 1 <= q <= 19
      // res = +/-C (exact)
      // res = +/-C (exact)
      if (x_sign)
      if (x_sign)
        res = -C1.w[0];
        res = -C1.w[0];
      else
      else
        res = C1.w[0];
        res = C1.w[0];
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
    } else {    // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      // res = +/-C * 10^exp (exact) where this fits in 64-bit integer
      if (x_sign)
      if (x_sign)
        res = -C1.w[0] * ten2k64[exp];
        res = -C1.w[0] * ten2k64[exp];
      else
      else
        res = C1.w[0] * ten2k64[exp];
        res = C1.w[0] * ten2k64[exp];
    }
    }
  }
  }
}
}
 
 
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 

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