Subversion Repositories openrisc_2011-10-31

/* Copyright (C) 2007, 2009  Free Software Foundation, Inc.

This file is part of GCC.

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

Software Foundation; either version 3, or (at your option) any later

version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY

WARRANTY; without even the implied warranty of MERCHANTABILITY or

FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License

for more details.

Under Section 7 of GPL version 3, you are granted additional

permissions described in the GCC Runtime Library Exception, version

3.1, as published by the Free Software Foundation.

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;

see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see

<http://www.gnu.org/licenses/>.  */

#undef IN_LIBGCC2

#include "bid-dpd.h"

/* get full 64x64bit product */

#define __mul_64x64_to_128(P, CX, CY)             \

{                                                 \

  UINT64 CXH, CXL, CYH,CYL,PL,PH,PM,PM2;  \

  CXH = (CX) >> 32;                               \

  CXL = (UINT32)(CX);                             \

  CYH = (CY) >> 32;                               \

  CYL = (UINT32)(CY);                             \

                                                  \

  PM = CXH*CYL;                                   \

  PH = CXH*CYH;                                   \

  PL = CXL*CYL;                                   \

  PM2 = CXL*CYH;                                  \

  PH += (PM>>32);                                 \

  PM = (UINT64)((UINT32)PM)+PM2+(PL>>32);         \

                                                  \

  (P).w[1] = PH + (PM>>32);                       \

  (P).w[0] = (PM<<32)+(UINT32)PL;                 \

}

/* add 64-bit value to 128-bit */

#define __add_128_64(R128, A128, B64)             \

{                                                 \

  UINT64 R64H;                                    \

  R64H = (A128).w[1];                             \

  (R128).w[0] = (B64) + (A128).w[0];              \

  if((R128).w[0] < (B64)) R64H ++;                \

  (R128).w[1] = R64H;                             \

}

/* add 128-bit value to 128-bit (assume no carry-out) */

#define __add_128_128(R128, A128, B128)           \

{                                                 \

  UINT128 Q128;                                   \

  Q128.w[1] = (A128).w[1]+(B128).w[1];            \

  Q128.w[0] = (B128).w[0] + (A128).w[0];          \

  if(Q128.w[0] < (B128).w[0]) Q128.w[1] ++;       \

  (R128).w[1] = Q128.w[1];                        \

  (R128).w[0] = Q128.w[0];                        \

}

#define __mul_128x128_high(Q, A, B)               \

{                                                 \

  UINT128 ALBL, ALBH, AHBL, AHBH, QM, QM2;        \

                                                  \

  __mul_64x64_to_128(ALBH, (A).w[0], (B).w[1]);   \

  __mul_64x64_to_128(AHBL, (B).w[0], (A).w[1]);   \

  __mul_64x64_to_128(ALBL, (A).w[0], (B).w[0]);   \

  __mul_64x64_to_128(AHBH, (A).w[1],(B).w[1]);    \

                                                  \

  __add_128_128(QM, ALBH, AHBL);                  \

  __add_128_64(QM2, QM, ALBL.w[1]);               \

  __add_128_64((Q), AHBH, QM2.w[1]);              \

}

#include "bid2dpd_dpd2bid.h"

static const unsigned int dm103[] =

  { 0, 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000 };

void _bid_to_dpd32 (_Decimal32 *, _Decimal32 *);

void

_bid_to_dpd32 (_Decimal32 *pres, _Decimal32 *px) {

  unsigned int sign, coefficient_x, exp, dcoeff;

  unsigned int b2, b1, b0, b01, res;

  _Decimal32 x = *px;

  sign = (x & 0x80000000);

  if ((x & 0x60000000ul) == 0x60000000ul) {

    /* special encodings */

    if ((x & 0x78000000ul) == 0x78000000ul) {

      *pres = x; /* NaN or Infinity */

      return;

    }

    /* coefficient */

    coefficient_x = (x & 0x001ffffful) | 0x00800000ul;

    if (coefficient_x >= 10000000) coefficient_x = 0;

    /* get exponent */

    exp = (x >> 21) & 0xff;

  } else {

    exp = (x >> 23) & 0xff;

    coefficient_x = (x & 0x007ffffful);

  }

  b01 = coefficient_x / 1000;

  b2 = coefficient_x - 1000 * b01;

  b0 = b01 / 1000;

  b1 = b01 - 1000 * b0;

  dcoeff = b2d[b2] | b2d2[b1];

  if (b0 >= 8) { /* is b0 8 or 9? */

    res = sign | ((0x600 | ((exp >> 6) << 7) |

        ((b0 & 1) << 6) | (exp & 0x3f)) << 20) | dcoeff;

  } else { /* else b0 is 0..7 */

    res = sign | ((((exp >> 6) << 9) | (b0 << 6) |

        (exp & 0x3f)) << 20) | dcoeff;

  }

  *pres = res;

}

void _dpd_to_bid32 (_Decimal32 *, _Decimal32 *);

void

_dpd_to_bid32 (_Decimal32 *pres, _Decimal32 *px) {

  unsigned int r;

  unsigned int sign, exp, bcoeff;

  UINT64 trailing;

  unsigned int d0, d1, d2;

  _Decimal32 x = *px;

  sign = (x & 0x80000000);

  trailing = (x & 0x000fffff);

  if ((x & 0x78000000) == 0x78000000) {

    *pres = x;

    return;

  } else { /* normal number */

    if ((x & 0x60000000) == 0x60000000) { /* G0..G1 = 11 -> d0 = 8 + G4 */

      d0 = d2b3[((x >> 26) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */

      exp = (x >> 27) & 3; /* exp leading bits are G2..G3 */

    } else {

      d0 = d2b3[(x >> 26) & 0x7];

      exp = (x >> 29) & 3; /* exp loading bits are G0..G1 */

    }

    d1 = d2b2[(trailing >> 10) & 0x3ff];

    d2 = d2b[(trailing) & 0x3ff];

    bcoeff = d2 + d1 + d0;

    exp = (exp << 6) + ((x >> 20) & 0x3f);

    if (bcoeff < (1 << 23)) {

      r = exp;

      r <<= 23;

      r |= (bcoeff | sign);

    } else {

      r = exp;

      r <<= 21;

      r |= (sign | 0x60000000ul);

      /* add coeff, without leading bits */

      r |= (((unsigned int) bcoeff) & 0x1fffff);

    }

  }

  *pres = r;

}

void _bid_to_dpd64 (_Decimal64 *, _Decimal64 *);

void

_bid_to_dpd64 (_Decimal64 *pres, _Decimal64 *px) {

  UINT64 res;

  UINT64 sign, comb, exp, B34, B01;

  UINT64 d103, D61;

  UINT64 b0, b2, b3, b5;

  unsigned int b1, b4;

  UINT64 bcoeff;

  UINT64 dcoeff;

  unsigned int yhi, ylo;

  _Decimal64 x = *px;

  sign = (x & 0x8000000000000000ull);

  comb = (x & 0x7ffc000000000000ull) >> 51;

  if ((comb & 0xf00) == 0xf00) {

    *pres = x;

    return;

  } else { /* Normal number */

    if ((comb & 0xc00) == 0xc00) { /* G0..G1 = 11 -> exp is G2..G11 */

      exp = (comb) & 0x3ff;

      bcoeff = (x & 0x0007ffffffffffffull) | 0x0020000000000000ull;

    } else {

      exp = (comb >> 2) & 0x3ff;

      bcoeff = (x & 0x001fffffffffffffull);

    }

    D61 = 2305843009ull; /* Floor(2^61 / 10^9) */

    /* Multiply the binary coefficient by ceil(2^64 / 1000), and take the upper

       64-bits in order to compute a division by 1000. */

    yhi = (D61 * (UINT64)(bcoeff >> (UINT64)27)) >> (UINT64)34;

    ylo = bcoeff - 1000000000ull * yhi;

    if (ylo >= 1000000000) {

      ylo = ylo - 1000000000;

      yhi = yhi + 1;

    }

    d103 = 0x4189374c;

    B34 = ((UINT64) ylo * d103) >> (32 + 8);

    B01 = ((UINT64) yhi * d103) >> (32 + 8);

    b5 = ylo - B34 * 1000;

    b2 = yhi - B01 * 1000;

    b3 = ((UINT64) B34 * d103) >> (32 + 8);

    b0 = ((UINT64) B01 * d103) >> (32 + 8);

    b4 = (unsigned int) B34 - (unsigned int) b3 *1000;

    b1 = (unsigned int) B01 - (unsigned int) dm103[b0];

    dcoeff = b2d[b5] | b2d2[b4] | b2d3[b3] | b2d4[b2] | b2d5[b1];

    if (b0 >= 8) /* is b0 8 or 9? */

      res = sign | ((0x1800 | ((exp >> 8) << 9) | ((b0 & 1) << 8) |

          (exp & 0xff)) << 50) | dcoeff;

    else /* else b0 is 0..7 */

      res = sign | ((((exp >> 8) << 11) | (b0 << 8) |

          (exp & 0xff)) << 50) | dcoeff;

  }

  *pres = res;

}

void _dpd_to_bid64 (_Decimal64 *, _Decimal64 *);

void

_dpd_to_bid64 (_Decimal64 *pres, _Decimal64 *px) {

  UINT64 res;

  UINT64 sign, comb, exp;

  UINT64 trailing;

  UINT64 d0, d1, d2;

  unsigned int d3, d4, d5;

  UINT64 bcoeff, mask;

  _Decimal64 x = *px;

  sign = (x & 0x8000000000000000ull);

  comb = (x & 0x7ffc000000000000ull) >> 50;

  trailing = (x & 0x0003ffffffffffffull);

  if ((comb & 0x1e00) == 0x1e00) {

    if ((comb & 0x1f00) == 0x1f00) { /* G0..G4 = 11111 -> NaN */

      if (comb & 0x0100) { /* G5 = 1 -> sNaN */

        *pres = x;

      } else { /* G5 = 0 -> qNaN */

        *pres = x;

      }

    } else { /*if ((comb & 0x1e00) == 0x1e00); G0..G4 = 11110 -> INF */

      *pres = x;

    }

    return;

  } else { /* normal number */

    if ((comb & 0x1800) == 0x1800) { /* G0..G1 = 11 -> d0 = 8 + G4 */

      d0 = d2b6[((comb >> 8) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */

      exp = (comb & 0x600) >> 1; /* exp = (comb & 0x0400 ? 1 : 0) * 0x200 +

          (comb & 0x0200 ? 1 : 0) * 0x100; exp leading bits are G2..G3 */

    } else {

      d0 = d2b6[(comb >> 8) & 0x7];

      exp = (comb & 0x1800) >> 3; /* exp = (comb & 0x1000 ? 1 : 0) * 0x200 +

          (comb & 0x0800 ? 1 : 0) * 0x100; exp loading bits are G0..G1 */

    }

    d1 = d2b5[(trailing >> 40) & 0x3ff];

    d2 = d2b4[(trailing >> 30) & 0x3ff];

    d3 = d2b3[(trailing >> 20) & 0x3ff];

    d4 = d2b2[(trailing >> 10) & 0x3ff];

    d5 = d2b[(trailing) & 0x3ff];

    bcoeff = (d5 + d4 + d3) + d2 + d1 + d0;

    exp += (comb & 0xff);

    mask = 1;

    mask <<= 53;

    if (bcoeff < mask) { /* check whether coefficient fits in 10*5+3 bits */

      res = exp;

      res <<= 53;

      res |= (bcoeff | sign);

      *pres = res;

      return;

    }

    /* special format */

    res = (exp << 51) | (sign | 0x6000000000000000ull);

    /* add coeff, without leading bits */

    mask = (mask >> 2) - 1;

    bcoeff &= mask;

    res |= bcoeff;

  }

  *pres = res;

}

void _bid_to_dpd128 (_Decimal128 *, _Decimal128 *);

void

_bid_to_dpd128 (_Decimal128 *pres, _Decimal128 *px) {

  UINT128 res;

  UINT128 sign;

  unsigned int comb;

  UINT128 bcoeff;

  UINT128 dcoeff;

  UINT128 BH, d1018, BT2, BT1;

  UINT64 exp, BL, d109;

  UINT64 d106, d103;

  UINT64 k1, k2, k4, k5, k7, k8, k10, k11;

  unsigned int BHH32, BLL32, BHL32, BLH32, k0, k3, k6, k9, amount;

  _Decimal128 x = *px;

  sign.w[1] = (x.w[1] & 0x8000000000000000ull);

  sign.w[0] = 0;

  comb = (x.w[1] /*& 0x7fffc00000000000ull */ ) >> 46;

  exp = 0;

  if ((comb & 0x1e000) == 0x1e000) {

    if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */

      if (comb & 0x01000) { /* G5 = 1 -> sNaN */

        res = x;

      } else { /* G5 = 0 -> qNaN */

        res = x;

      }

    } else { /* G0..G4 = 11110 -> INF */

      res = x;

    }

  } else { /* normal number */

    exp = ((x.w[1] & 0x7fff000000000000ull) >> 49) & 0x3fff;

    bcoeff.w[1] = (x.w[1] & 0x0001ffffffffffffull);

    bcoeff.w[0] = x.w[0];

    d1018 = reciprocals10_128[18];

    __mul_128x128_high (BH, bcoeff, d1018);

    amount = recip_scale[18];

    BH.w[0] = (BH.w[0] >> amount) | (BH.w[1] << (64 - amount));

    BL = bcoeff.w[0] - BH.w[0] * 1000000000000000000ull;

    d109 = reciprocals10_64[9];

    __mul_64x64_to_128 (BT1, BH.w[0], d109);

    BHH32 = (unsigned int) (BT1.w[1] >> short_recip_scale[9]);

    BHL32 = (unsigned int) BH.w[0] - BHH32 * 1000000000;

    __mul_64x64_to_128 (BT2, BL, d109);

    BLH32 = (unsigned int) (BT2.w[1] >> short_recip_scale[9]);

    BLL32 = (unsigned int) BL - BLH32 * 1000000000;

    d106 = 0x431BDE83;

    d103 = 0x4189374c;

    k0 = ((UINT64) BHH32 * d106) >> (32 + 18);

    BHH32 -= (unsigned int) k0 *1000000;

    k1 = ((UINT64) BHH32 * d103) >> (32 + 8);

    k2 = BHH32 - (unsigned int) k1 *1000;

    k3 = ((UINT64) BHL32 * d106) >> (32 + 18);

    BHL32 -= (unsigned int) k3 *1000000;

    k4 = ((UINT64) BHL32 * d103) >> (32 + 8);

    k5 = BHL32 - (unsigned int) k4 *1000;

    k6 = ((UINT64) BLH32 * d106) >> (32 + 18);

    BLH32 -= (unsigned int) k6 *1000000;

    k7 = ((UINT64) BLH32 * d103) >> (32 + 8);

    k8 = BLH32 - (unsigned int) k7 *1000;

    k9 = ((UINT64) BLL32 * d106) >> (32 + 18);

    BLL32 -= (unsigned int) k9 *1000000;

    k10 = ((UINT64) BLL32 * d103) >> (32 + 8);

    k11 = BLL32 - (unsigned int) k10 *1000;

    dcoeff.w[1] = (b2d[k5] >> 4) | (b2d[k4] << 6) | (b2d[k3] << 16) |

        (b2d[k2] << 26) | (b2d[k1] << 36);

    dcoeff.w[0] = b2d[k11] | (b2d[k10] << 10) | (b2d[k9] << 20) |

        (b2d[k8] << 30) | (b2d[k7] << 40) | (b2d[k6] << 50) | (b2d[k5] << 60);

    res.w[0] = dcoeff.w[0];

    if (k0 >= 8) {

      res.w[1] = sign.w[1] | ((0x18000 | ((exp >> 12) << 13) |

          ((k0 & 1) << 12) | (exp & 0xfff)) << 46) | dcoeff.w[1];

    } else {

      res.w[1] = sign.w[1] | ((((exp >> 12) << 15) | (k0 << 12) |

          (exp & 0xfff)) << 46) | dcoeff.w[1];

    }

  }

  *pres = res;

}

void _dpd_to_bid128 (_Decimal128 *, _Decimal128 *);

void

_dpd_to_bid128 (_Decimal128 *pres, _Decimal128 *px) {

  UINT128 res;

  UINT128 sign;

  UINT64 exp, comb;

  UINT128 trailing;

  UINT64 d0, d1, d2, d3, d4, d5, d6, d7, d8, d9, d10, d11;

  UINT128 bcoeff;

  UINT64 tl, th;

  _Decimal128 x = *px;

  sign.w[1] = (x.w[1] & 0x8000000000000000ull);

  sign.w[0] = 0;

  comb = (x.w[1] & 0x7fffc00000000000ull) >> 46;

  trailing.w[1] = x.w[1];

  trailing.w[0] = x.w[0];

  if ((comb & 0x1e000) == 0x1e000) {

    if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */

      if (comb & 0x01000) { /* G5 = 1 -> sNaN */

        *pres = x;

      } else { /* G5 = 0 -> qNaN */

        *pres = x;

      }

    } else { /* G0..G4 = 11110 -> INF */

      *pres = x;

    }

    return;

  } else { /* Normal number */

    if ((comb & 0x18000) == 0x18000) { /* G0..G1 = 11 -> d0 = 8 + G4 */

      d0 = d2b6[8 + ((comb & 0x01000) >> 12)];

      exp = (comb & 0x06000) >> 1;  /* exp leading bits are G2..G3 */

    } else {

      d0 = d2b6[((comb & 0x07000) >> 12)];

      exp = (comb & 0x18000) >> 3;  /* exp loading bits are G0..G1 */

    }

    d11 = d2b[(trailing.w[0]) & 0x3ff];

    d10 = d2b2[(trailing.w[0] >> 10) & 0x3ff];

    d9 = d2b3[(trailing.w[0] >> 20) & 0x3ff];

    d8 = d2b4[(trailing.w[0] >> 30) & 0x3ff];

    d7 = d2b5[(trailing.w[0] >> 40) & 0x3ff];

    d6 = d2b6[(trailing.w[0] >> 50) & 0x3ff];

    d5 = d2b[(trailing.w[0] >> 60) | ((trailing.w[1] & 0x3f) << 4)];

    d4 = d2b2[(trailing.w[1] >> 6) & 0x3ff];

    d3 = d2b3[(trailing.w[1] >> 16) & 0x3ff];

    d2 = d2b4[(trailing.w[1] >> 26) & 0x3ff];

    d1 = d2b5[(trailing.w[1] >> 36) & 0x3ff];

    tl = d11 + d10 + d9 + d8 + d7 + d6;

    th = d5 + d4 + d3 + d2 + d1 + d0;

    __mul_64x64_to_128 (bcoeff, th, 1000000000000000000ull);

    __add_128_64 (bcoeff, bcoeff, tl);

    exp += (comb & 0xfff);

    res.w[0] = bcoeff.w[0];

    res.w[1] = (exp << 49) | sign.w[1] | bcoeff.w[1];

  }

  *pres = res;

}