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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/>.  */
 
 
#define BID_128RES
#define BID_128RES
#include "bid_internal.h"
#include "bid_internal.h"
#include "bid_sqrt_macros.h"
#include "bid_sqrt_macros.h"
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#include <fenv.h>
#include <fenv.h>
 
 
#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT
#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT
#endif
#endif
 
 
BID128_FUNCTION_ARG1 (bid128_sqrt, x)
BID128_FUNCTION_ARG1 (bid128_sqrt, x)
 
 
     UINT256 M256, C256, C4, C8;
     UINT256 M256, C256, C4, C8;
     UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
     UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
     UINT64 sign_x, Carry;
     UINT64 sign_x, Carry;
     SINT64 D;
     SINT64 D;
     int_float fx, f64;
     int_float fx, f64;
     int exponent_x, bin_expon_cx;
     int exponent_x, bin_expon_cx;
     int digits, scale, exponent_q;
     int digits, scale, exponent_q;
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
     fexcept_t binaryflags = 0;
     fexcept_t binaryflags = 0;
#endif
#endif
 
 
  // unpack arguments, check for NaN or Infinity
  // unpack arguments, check for NaN or Infinity
if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
res.w[1] = CX.w[1];
res.w[1] = CX.w[1];
res.w[0] = CX.w[0];
res.w[0] = CX.w[0];
    // NaN ?
    // NaN ?
if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
  if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull)        // sNaN
  if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull)        // sNaN
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  res.w[1] = CX.w[1] & QUIET_MASK64;
  res.w[1] = CX.w[1] & QUIET_MASK64;
  BID_RETURN (res);
  BID_RETURN (res);
}
}
    // x is Infinity?
    // x is Infinity?
if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) {
  res.w[1] = CX.w[1];
  res.w[1] = CX.w[1];
  if (sign_x) {
  if (sign_x) {
    // -Inf, return NaN
    // -Inf, return NaN
    res.w[1] = 0x7c00000000000000ull;
    res.w[1] = 0x7c00000000000000ull;
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
    // x is 0 otherwise
    // x is 0 otherwise
 
 
res.w[1] =
res.w[1] =
  sign_x |
  sign_x |
  ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1) << 49);
  ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1) << 49);
res.w[0] = 0;
res.w[0] = 0;
BID_RETURN (res);
BID_RETURN (res);
}
}
if (sign_x) {
if (sign_x) {
  res.w[1] = 0x7c00000000000000ull;
  res.w[1] = 0x7c00000000000000ull;
  res.w[0] = 0;
  res.w[0] = 0;
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
  __set_status_flags (pfpsf, INVALID_EXCEPTION);
  __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  BID_RETURN (res);
  BID_RETURN (res);
}
}
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
  // 2^64
  // 2^64
f64.i = 0x5f800000;
f64.i = 0x5f800000;
 
 
  // fx ~ CX
  // fx ~ CX
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
digits = estimate_decimal_digits[bin_expon_cx];
digits = estimate_decimal_digits[bin_expon_cx];
 
 
A10 = CX;
A10 = CX;
if (exponent_x & 1) {
if (exponent_x & 1) {
  A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
  A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
  A10.w[0] = CX.w[0] << 3;
  A10.w[0] = CX.w[0] << 3;
  CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
  CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
  CX2.w[0] = CX.w[0] << 1;
  CX2.w[0] = CX.w[0] << 1;
  __add_128_128 (A10, A10, CX2);
  __add_128_128 (A10, A10, CX2);
}
}
 
 
CS.w[0] = short_sqrt128 (A10);
CS.w[0] = short_sqrt128 (A10);
CS.w[1] = 0;
CS.w[1] = 0;
  // check for exact result
  // check for exact result
if (CS.w[0] * CS.w[0] == A10.w[0]) {
if (CS.w[0] * CS.w[0] == A10.w[0]) {
  __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
  __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
  if (S2.w[1] == A10.w[1])      // && S2.w[0]==A10.w[0])
  if (S2.w[1] == A10.w[1])      // && S2.w[0]==A10.w[0])
  {
  {
    get_BID128_very_fast (&res, 0,
    get_BID128_very_fast (&res, 0,
                          (exponent_x +
                          (exponent_x +
                           DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
                           DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
    (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
    (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
    BID_RETURN (res);
    BID_RETURN (res);
  }
  }
}
}
  // get number of digits in CX
  // get number of digits in CX
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
if (D > 0
if (D > 0
    || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
    || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
  digits++;
  digits++;
 
 
  // if exponent is odd, scale coefficient by 10
  // if exponent is odd, scale coefficient by 10
scale = 67 - digits;
scale = 67 - digits;
exponent_q = exponent_x - scale;
exponent_q = exponent_x - scale;
scale += (exponent_q & 1);      // exp. bias is even
scale += (exponent_q & 1);      // exp. bias is even
 
 
if (scale > 38) {
if (scale > 38) {
  T128 = power10_table_128[scale - 37];
  T128 = power10_table_128[scale - 37];
  __mul_128x128_low (CX1, CX, T128);
  __mul_128x128_low (CX1, CX, T128);
 
 
  TP128 = power10_table_128[37];
  TP128 = power10_table_128[37];
  __mul_128x128_to_256 (C256, CX1, TP128);
  __mul_128x128_to_256 (C256, CX1, TP128);
} else {
} else {
  T128 = power10_table_128[scale];
  T128 = power10_table_128[scale];
  __mul_128x128_to_256 (C256, CX, T128);
  __mul_128x128_to_256 (C256, CX, T128);
}
}
 
 
 
 
  // 4*C256
  // 4*C256
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[0] = C256.w[0] << 2;
C4.w[0] = C256.w[0] << 2;
 
 
long_sqrt128 (&CS, C256);
long_sqrt128 (&CS, C256);
 
 
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
if (!((rnd_mode) & 3)) {
if (!((rnd_mode) & 3)) {
#endif
#endif
#endif
#endif
  // compare to midpoints
  // compare to midpoints
  CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
  CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
  // CSM^2
  // CSM^2
  //__mul_128x128_to_256(M256, CSM, CSM);
  //__mul_128x128_to_256(M256, CSM, CSM);
  __sqr128_to_256 (M256, CSM);
  __sqr128_to_256 (M256, CSM);
 
 
  if (C4.w[3] > M256.w[3]
  if (C4.w[3] > M256.w[3]
      || (C4.w[3] == M256.w[3]
      || (C4.w[3] == M256.w[3]
          && (C4.w[2] > M256.w[2]
          && (C4.w[2] > M256.w[2]
              || (C4.w[2] == M256.w[2]
              || (C4.w[2] == M256.w[2]
                  && (C4.w[1] > M256.w[1]
                  && (C4.w[1] > M256.w[1]
                      || (C4.w[1] == M256.w[1]
                      || (C4.w[1] == M256.w[1]
                          && C4.w[0] > M256.w[0])))))) {
                          && C4.w[0] > M256.w[0])))))) {
    // round up
    // round up
    CS.w[0]++;
    CS.w[0]++;
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]++;
      CS.w[1]++;
  } else {
  } else {
    C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
    C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
    C8.w[0] = CS.w[0] << 3;
    C8.w[0] = CS.w[0] << 3;
    // M256 - 8*CSM
    // M256 - 8*CSM
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] - Carry;
    M256.w[3] = M256.w[3] - Carry;
 
 
    // if CSM' > C256, round up
    // if CSM' > C256, round up
    if (M256.w[3] > C4.w[3]
    if (M256.w[3] > C4.w[3]
        || (M256.w[3] == C4.w[3]
        || (M256.w[3] == C4.w[3]
            && (M256.w[2] > C4.w[2]
            && (M256.w[2] > C4.w[2]
                || (M256.w[2] == C4.w[2]
                || (M256.w[2] == C4.w[2]
                    && (M256.w[1] > C4.w[1]
                    && (M256.w[1] > C4.w[1]
                        || (M256.w[1] == C4.w[1]
                        || (M256.w[1] == C4.w[1]
                            && M256.w[0] > C4.w[0])))))) {
                            && M256.w[0] > C4.w[0])))))) {
      // round down
      // round down
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]--;
        CS.w[1]--;
      CS.w[0]--;
      CS.w[0]--;
    }
    }
  }
  }
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
} else {
} else {
  __sqr128_to_256 (M256, CS);
  __sqr128_to_256 (M256, CS);
  C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  C8.w[0] = CS.w[0] << 1;
  C8.w[0] = CS.w[0] << 1;
  if (M256.w[3] > C256.w[3]
  if (M256.w[3] > C256.w[3]
      || (M256.w[3] == C256.w[3]
      || (M256.w[3] == C256.w[3]
          && (M256.w[2] > C256.w[2]
          && (M256.w[2] > C256.w[2]
              || (M256.w[2] == C256.w[2]
              || (M256.w[2] == C256.w[2]
                  && (M256.w[1] > C256.w[1]
                  && (M256.w[1] > C256.w[1]
                      || (M256.w[1] == C256.w[1]
                      || (M256.w[1] == C256.w[1]
                          && M256.w[0] > C256.w[0])))))) {
                          && M256.w[0] > C256.w[0])))))) {
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] - Carry;
    M256.w[3] = M256.w[3] - Carry;
    M256.w[0]++;
    M256.w[0]++;
    if (!M256.w[0]) {
    if (!M256.w[0]) {
      M256.w[1]++;
      M256.w[1]++;
      if (!M256.w[1]) {
      if (!M256.w[1]) {
        M256.w[2]++;
        M256.w[2]++;
        if (!M256.w[2])
        if (!M256.w[2])
          M256.w[3]++;
          M256.w[3]++;
      }
      }
    }
    }
 
 
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]--;
      CS.w[1]--;
    CS.w[0]--;
    CS.w[0]--;
 
 
    if (M256.w[3] > C256.w[3]
    if (M256.w[3] > C256.w[3]
        || (M256.w[3] == C256.w[3]
        || (M256.w[3] == C256.w[3]
            && (M256.w[2] > C256.w[2]
            && (M256.w[2] > C256.w[2]
                || (M256.w[2] == C256.w[2]
                || (M256.w[2] == C256.w[2]
                    && (M256.w[1] > C256.w[1]
                    && (M256.w[1] > C256.w[1]
                        || (M256.w[1] == C256.w[1]
                        || (M256.w[1] == C256.w[1]
                            && M256.w[0] > C256.w[0])))))) {
                            && M256.w[0] > C256.w[0])))))) {
 
 
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]--;
        CS.w[1]--;
      CS.w[0]--;
      CS.w[0]--;
    }
    }
  }
  }
 
 
  else {
  else {
    __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] + Carry;
    M256.w[3] = M256.w[3] + Carry;
    M256.w[0]++;
    M256.w[0]++;
    if (!M256.w[0]) {
    if (!M256.w[0]) {
      M256.w[1]++;
      M256.w[1]++;
      if (!M256.w[1]) {
      if (!M256.w[1]) {
        M256.w[2]++;
        M256.w[2]++;
        if (!M256.w[2])
        if (!M256.w[2])
          M256.w[3]++;
          M256.w[3]++;
      }
      }
    }
    }
    if (M256.w[3] < C256.w[3]
    if (M256.w[3] < C256.w[3]
        || (M256.w[3] == C256.w[3]
        || (M256.w[3] == C256.w[3]
            && (M256.w[2] < C256.w[2]
            && (M256.w[2] < C256.w[2]
                || (M256.w[2] == C256.w[2]
                || (M256.w[2] == C256.w[2]
                    && (M256.w[1] < C256.w[1]
                    && (M256.w[1] < C256.w[1]
                        || (M256.w[1] == C256.w[1]
                        || (M256.w[1] == C256.w[1]
                            && M256.w[0] <= C256.w[0])))))) {
                            && M256.w[0] <= C256.w[0])))))) {
 
 
      CS.w[0]++;
      CS.w[0]++;
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]++;
        CS.w[1]++;
    }
    }
  }
  }
  // RU?
  // RU?
  if ((rnd_mode) == ROUNDING_UP) {
  if ((rnd_mode) == ROUNDING_UP) {
    CS.w[0]++;
    CS.w[0]++;
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]++;
      CS.w[1]++;
  }
  }
 
 
}
}
#endif
#endif
#endif
#endif
 
 
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
#endif
#endif
get_BID128_fast (&res, 0,
get_BID128_fast (&res, 0,
                 (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
                 (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1, CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
BID_RETURN (res);
BID_RETURN (res);
}
}
 
 
 
 
 
 
BID128_FUNCTION_ARGTYPE1 (bid128d_sqrt, UINT64, x)
BID128_FUNCTION_ARGTYPE1 (bid128d_sqrt, UINT64, x)
 
 
     UINT256 M256, C256, C4, C8;
     UINT256 M256, C256, C4, C8;
     UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
     UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res;
     UINT64 sign_x, Carry;
     UINT64 sign_x, Carry;
     SINT64 D;
     SINT64 D;
     int_float fx, f64;
     int_float fx, f64;
     int exponent_x, bin_expon_cx;
     int exponent_x, bin_expon_cx;
     int digits, scale, exponent_q;
     int digits, scale, exponent_q;
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
     fexcept_t binaryflags = 0;
     fexcept_t binaryflags = 0;
#endif
#endif
 
 
        // unpack arguments, check for NaN or Infinity
        // unpack arguments, check for NaN or Infinity
   // unpack arguments, check for NaN or Infinity
   // unpack arguments, check for NaN or Infinity
CX.w[1] = 0;
CX.w[1] = 0;
if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], x)) {
if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], x)) {
res.w[1] = CX.w[0];
res.w[1] = CX.w[0];
res.w[0] = 0;
res.w[0] = 0;
           // NaN ?
           // NaN ?
if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
  if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN
  if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  res.w[0] = (CX.w[0] & 0x0003ffffffffffffull);
  res.w[0] = (CX.w[0] & 0x0003ffffffffffffull);
  __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
  __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
  res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull);
  res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull);
  BID_RETURN (res);
  BID_RETURN (res);
}
}
           // x is Infinity?
           // x is Infinity?
if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
  if (sign_x) {
  if (sign_x) {
    // -Inf, return NaN
    // -Inf, return NaN
    res.w[1] = 0x7c00000000000000ull;
    res.w[1] = 0x7c00000000000000ull;
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
    __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  }
  }
  BID_RETURN (res);
  BID_RETURN (res);
}
}
           // x is 0 otherwise
           // x is 0 otherwise
 
 
exponent_x =
exponent_x =
  exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
  exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
res.w[1] =
res.w[1] =
  sign_x | ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1)
  sign_x | ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1)
            << 49);
            << 49);
res.w[0] = 0;
res.w[0] = 0;
BID_RETURN (res);
BID_RETURN (res);
}
}
if (sign_x) {
if (sign_x) {
  res.w[1] = 0x7c00000000000000ull;
  res.w[1] = 0x7c00000000000000ull;
  res.w[0] = 0;
  res.w[0] = 0;
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
  __set_status_flags (pfpsf, INVALID_EXCEPTION);
  __set_status_flags (pfpsf, INVALID_EXCEPTION);
#endif
#endif
  BID_RETURN (res);
  BID_RETURN (res);
}
}
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
exponent_x =
exponent_x =
  exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
  exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128;
 
 
           // 2^64
           // 2^64
f64.i = 0x5f800000;
f64.i = 0x5f800000;
 
 
           // fx ~ CX
           // fx ~ CX
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
digits = estimate_decimal_digits[bin_expon_cx];
digits = estimate_decimal_digits[bin_expon_cx];
 
 
A10 = CX;
A10 = CX;
if (exponent_x & 1) {
if (exponent_x & 1) {
  A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
  A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61);
  A10.w[0] = CX.w[0] << 3;
  A10.w[0] = CX.w[0] << 3;
  CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
  CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63);
  CX2.w[0] = CX.w[0] << 1;
  CX2.w[0] = CX.w[0] << 1;
  __add_128_128 (A10, A10, CX2);
  __add_128_128 (A10, A10, CX2);
}
}
 
 
CS.w[0] = short_sqrt128 (A10);
CS.w[0] = short_sqrt128 (A10);
CS.w[1] = 0;
CS.w[1] = 0;
           // check for exact result
           // check for exact result
if (CS.w[0] * CS.w[0] == A10.w[0]) {
if (CS.w[0] * CS.w[0] == A10.w[0]) {
  __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
  __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]);
  if (S2.w[1] == A10.w[1]) {
  if (S2.w[1] == A10.w[1]) {
    get_BID128_very_fast (&res, 0,
    get_BID128_very_fast (&res, 0,
                          (exponent_x + DECIMAL_EXPONENT_BIAS_128) >> 1,
                          (exponent_x + DECIMAL_EXPONENT_BIAS_128) >> 1,
                          CS);
                          CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
    (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
    (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
    BID_RETURN (res);
    BID_RETURN (res);
  }
  }
}
}
           // get number of digits in CX
           // get number of digits in CX
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
if (D > 0
if (D > 0
    || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
    || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
  digits++;
  digits++;
 
 
                // if exponent is odd, scale coefficient by 10
                // if exponent is odd, scale coefficient by 10
scale = 67 - digits;
scale = 67 - digits;
exponent_q = exponent_x - scale;
exponent_q = exponent_x - scale;
scale += (exponent_q & 1);      // exp. bias is even
scale += (exponent_q & 1);      // exp. bias is even
 
 
if (scale > 38) {
if (scale > 38) {
  T128 = power10_table_128[scale - 37];
  T128 = power10_table_128[scale - 37];
  __mul_128x128_low (CX1, CX, T128);
  __mul_128x128_low (CX1, CX, T128);
 
 
  TP128 = power10_table_128[37];
  TP128 = power10_table_128[37];
  __mul_128x128_to_256 (C256, CX1, TP128);
  __mul_128x128_to_256 (C256, CX1, TP128);
} else {
} else {
  T128 = power10_table_128[scale];
  T128 = power10_table_128[scale];
  __mul_128x128_to_256 (C256, CX, T128);
  __mul_128x128_to_256 (C256, CX, T128);
}
}
 
 
 
 
           // 4*C256
           // 4*C256
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62);
C4.w[0] = C256.w[0] << 2;
C4.w[0] = C256.w[0] << 2;
 
 
long_sqrt128 (&CS, C256);
long_sqrt128 (&CS, C256);
 
 
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
if (!((rnd_mode) & 3)) {
if (!((rnd_mode) & 3)) {
#endif
#endif
#endif
#endif
  // compare to midpoints
  // compare to midpoints
  CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
  CSM.w[0] = (CS.w[0] + CS.w[0]) | 1;
  // CSM^2
  // CSM^2
  //__mul_128x128_to_256(M256, CSM, CSM);
  //__mul_128x128_to_256(M256, CSM, CSM);
  __sqr128_to_256 (M256, CSM);
  __sqr128_to_256 (M256, CSM);
 
 
  if (C4.w[3] > M256.w[3]
  if (C4.w[3] > M256.w[3]
      || (C4.w[3] == M256.w[3]
      || (C4.w[3] == M256.w[3]
          && (C4.w[2] > M256.w[2]
          && (C4.w[2] > M256.w[2]
              || (C4.w[2] == M256.w[2]
              || (C4.w[2] == M256.w[2]
                  && (C4.w[1] > M256.w[1]
                  && (C4.w[1] > M256.w[1]
                      || (C4.w[1] == M256.w[1]
                      || (C4.w[1] == M256.w[1]
                          && C4.w[0] > M256.w[0])))))) {
                          && C4.w[0] > M256.w[0])))))) {
    // round up
    // round up
    CS.w[0]++;
    CS.w[0]++;
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]++;
      CS.w[1]++;
  } else {
  } else {
    C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
    C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61);
    C8.w[0] = CS.w[0] << 3;
    C8.w[0] = CS.w[0] << 3;
    // M256 - 8*CSM
    // M256 - 8*CSM
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] - Carry;
    M256.w[3] = M256.w[3] - Carry;
 
 
    // if CSM' > C256, round up
    // if CSM' > C256, round up
    if (M256.w[3] > C4.w[3]
    if (M256.w[3] > C4.w[3]
        || (M256.w[3] == C4.w[3]
        || (M256.w[3] == C4.w[3]
            && (M256.w[2] > C4.w[2]
            && (M256.w[2] > C4.w[2]
                || (M256.w[2] == C4.w[2]
                || (M256.w[2] == C4.w[2]
                    && (M256.w[1] > C4.w[1]
                    && (M256.w[1] > C4.w[1]
                        || (M256.w[1] == C4.w[1]
                        || (M256.w[1] == C4.w[1]
                            && M256.w[0] > C4.w[0])))))) {
                            && M256.w[0] > C4.w[0])))))) {
      // round down
      // round down
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]--;
        CS.w[1]--;
      CS.w[0]--;
      CS.w[0]--;
    }
    }
  }
  }
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
#ifndef IEEE_ROUND_NEAREST_TIES_AWAY
} else {
} else {
  __sqr128_to_256 (M256, CS);
  __sqr128_to_256 (M256, CS);
  C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63);
  C8.w[0] = CS.w[0] << 1;
  C8.w[0] = CS.w[0] << 1;
  if (M256.w[3] > C256.w[3]
  if (M256.w[3] > C256.w[3]
      || (M256.w[3] == C256.w[3]
      || (M256.w[3] == C256.w[3]
          && (M256.w[2] > C256.w[2]
          && (M256.w[2] > C256.w[2]
              || (M256.w[2] == C256.w[2]
              || (M256.w[2] == C256.w[2]
                  && (M256.w[1] > C256.w[1]
                  && (M256.w[1] > C256.w[1]
                      || (M256.w[1] == C256.w[1]
                      || (M256.w[1] == C256.w[1]
                          && M256.w[0] > C256.w[0])))))) {
                          && M256.w[0] > C256.w[0])))))) {
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] - Carry;
    M256.w[3] = M256.w[3] - Carry;
    M256.w[0]++;
    M256.w[0]++;
    if (!M256.w[0]) {
    if (!M256.w[0]) {
      M256.w[1]++;
      M256.w[1]++;
      if (!M256.w[1]) {
      if (!M256.w[1]) {
        M256.w[2]++;
        M256.w[2]++;
        if (!M256.w[2])
        if (!M256.w[2])
          M256.w[3]++;
          M256.w[3]++;
      }
      }
    }
    }
 
 
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]--;
      CS.w[1]--;
    CS.w[0]--;
    CS.w[0]--;
 
 
    if (M256.w[3] > C256.w[3]
    if (M256.w[3] > C256.w[3]
        || (M256.w[3] == C256.w[3]
        || (M256.w[3] == C256.w[3]
            && (M256.w[2] > C256.w[2]
            && (M256.w[2] > C256.w[2]
                || (M256.w[2] == C256.w[2]
                || (M256.w[2] == C256.w[2]
                    && (M256.w[1] > C256.w[1]
                    && (M256.w[1] > C256.w[1]
                        || (M256.w[1] == C256.w[1]
                        || (M256.w[1] == C256.w[1]
                            && M256.w[0] > C256.w[0])))))) {
                            && M256.w[0] > C256.w[0])))))) {
 
 
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]--;
        CS.w[1]--;
      CS.w[0]--;
      CS.w[0]--;
    }
    }
  }
  }
 
 
  else {
  else {
    __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]);
    __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry);
    __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry);
    M256.w[3] = M256.w[3] + Carry;
    M256.w[3] = M256.w[3] + Carry;
    M256.w[0]++;
    M256.w[0]++;
    if (!M256.w[0]) {
    if (!M256.w[0]) {
      M256.w[1]++;
      M256.w[1]++;
      if (!M256.w[1]) {
      if (!M256.w[1]) {
        M256.w[2]++;
        M256.w[2]++;
        if (!M256.w[2])
        if (!M256.w[2])
          M256.w[3]++;
          M256.w[3]++;
      }
      }
    }
    }
    if (M256.w[3] < C256.w[3]
    if (M256.w[3] < C256.w[3]
        || (M256.w[3] == C256.w[3]
        || (M256.w[3] == C256.w[3]
            && (M256.w[2] < C256.w[2]
            && (M256.w[2] < C256.w[2]
                || (M256.w[2] == C256.w[2]
                || (M256.w[2] == C256.w[2]
                    && (M256.w[1] < C256.w[1]
                    && (M256.w[1] < C256.w[1]
                        || (M256.w[1] == C256.w[1]
                        || (M256.w[1] == C256.w[1]
                            && M256.w[0] <= C256.w[0])))))) {
                            && M256.w[0] <= C256.w[0])))))) {
 
 
      CS.w[0]++;
      CS.w[0]++;
      if (!CS.w[0])
      if (!CS.w[0])
        CS.w[1]++;
        CS.w[1]++;
    }
    }
  }
  }
  // RU?
  // RU?
  if ((rnd_mode) == ROUNDING_UP) {
  if ((rnd_mode) == ROUNDING_UP) {
    CS.w[0]++;
    CS.w[0]++;
    if (!CS.w[0])
    if (!CS.w[0])
      CS.w[1]++;
      CS.w[1]++;
  }
  }
 
 
}
}
#endif
#endif
#endif
#endif
 
 
#ifdef SET_STATUS_FLAGS
#ifdef SET_STATUS_FLAGS
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
__set_status_flags (pfpsf, INEXACT_EXCEPTION);
#endif
#endif
get_BID128_fast (&res, 0, (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1,
get_BID128_fast (&res, 0, (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1,
                 CS);
                 CS);
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
#ifdef UNCHANGED_BINARY_STATUS_FLAGS
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS);
#endif
#endif
BID_RETURN (res);
BID_RETURN (res);
 
 
 
 
}
}
 
 

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