diff options
Diffstat (limited to 'soft-fp/op-common.h')
| -rw-r--r-- | soft-fp/op-common.h | 1111 |
1 files changed, 295 insertions, 816 deletions
diff --git a/soft-fp/op-common.h b/soft-fp/op-common.h index 0aa6e3e05d..3abafa14a8 100644 --- a/soft-fp/op-common.h +++ b/soft-fp/op-common.h @@ -1,5 +1,5 @@ /* Software floating-point emulation. Common operations. - Copyright (C) 1997,1998,1999,2006,2007 Free Software Foundation, Inc. + Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Richard Henderson (rth@cygnus.com), Jakub Jelinek (jj@ultra.linux.cz), @@ -11,15 +11,6 @@ License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. - In addition to the permissions in the GNU Lesser General Public - License, the Free Software Foundation gives you unlimited - permission to link the compiled version of this file into - combinations with other programs, and to distribute those - combinations without any restriction coming from the use of this - file. (The Lesser General Public License restrictions do apply in - other respects; for example, they cover modification of the file, - and distribution when not linked into a combine executable.) - The GNU C Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU @@ -27,11 +18,11 @@ You should have received a copy of the GNU Lesser General Public License along with the GNU C Library; if not, write to the Free - Software Foundation, 51 Franklin Street, Fifth Floor, Boston, - MA 02110-1301, USA. */ + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ -#define _FP_DECL(wc, X) \ - _FP_I_TYPE X##_c __attribute__((unused)), X##_s, X##_e; \ +#define _FP_DECL(wc, X) \ + _FP_I_TYPE X##_c, X##_s, X##_e; \ _FP_FRAC_DECL_##wc(X) /* @@ -80,87 +71,6 @@ do { \ } \ } while (0) -/* Finish unpacking an fp value in semi-raw mode: the mantissa is - shifted by _FP_WORKBITS but the implicit MSB is not inserted and - other classification is not done. */ -#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc(X, _FP_WORKBITS) - -/* A semi-raw value has overflowed to infinity. Adjust the mantissa - and exponent appropriately. */ -#define _FP_OVERFLOW_SEMIRAW(fs, wc, X) \ -do { \ - if (FP_ROUNDMODE == FP_RND_NEAREST \ - || (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \ - || (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \ - { \ - X##_e = _FP_EXPMAX_##fs; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - } \ - else \ - { \ - X##_e = _FP_EXPMAX_##fs - 1; \ - _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ - } \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ -} while (0) - -/* Check for a semi-raw value being a signaling NaN and raise the - invalid exception if so. */ -#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \ -do { \ - if (X##_e == _FP_EXPMAX_##fs \ - && !_FP_FRAC_ZEROP_##wc(X) \ - && !(_FP_FRAC_HIGH_##fs(X) & _FP_QNANBIT_SH_##fs)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ -} while (0) - -/* Choose a NaN result from an operation on two semi-raw NaN - values. */ -#define _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP) \ -do { \ - /* _FP_CHOOSENAN expects raw values, so shift as required. */ \ - _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ - _FP_FRAC_SRL_##wc(Y, _FP_WORKBITS); \ - _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \ - _FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \ -} while (0) - -/* Test whether a biased exponent is normal (not zero or maximum). */ -#define _FP_EXP_NORMAL(fs, wc, X) (((X##_e + 1) & _FP_EXPMAX_##fs) > 1) - -/* Prepare to pack an fp value in semi-raw mode: the mantissa is - rounded and shifted right, with the rounding possibly increasing - the exponent (including changing a finite value to infinity). */ -#define _FP_PACK_SEMIRAW(fs, wc, X) \ -do { \ - _FP_ROUND(wc, X); \ - if (_FP_FRAC_HIGH_##fs(X) \ - & (_FP_OVERFLOW_##fs >> 1)) \ - { \ - _FP_FRAC_HIGH_##fs(X) &= ~(_FP_OVERFLOW_##fs >> 1); \ - X##_e++; \ - if (X##_e == _FP_EXPMAX_##fs) \ - _FP_OVERFLOW_SEMIRAW(fs, wc, X); \ - } \ - _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ - if (!_FP_EXP_NORMAL(fs, wc, X) && !_FP_FRAC_ZEROP_##wc(X)) \ - { \ - if (X##_e == 0) \ - FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ - else \ - { \ - if (!_FP_KEEPNANFRACP) \ - { \ - _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ - X##_s = _FP_NANSIGN_##fs; \ - } \ - else \ - _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ - } \ - } \ -} while (0) - /* * Before packing the bits back into the native fp result, take care * of such mundane things as rounding and overflow. Also, for some @@ -292,433 +202,153 @@ do { \ -/* Addition on semi-raw values. */ -#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ -do { \ - if (X##_s == Y##_s) \ - { \ - /* Addition. */ \ - R##_s = X##_s; \ - int ediff = X##_e - Y##_e; \ - if (ediff > 0) \ - { \ - R##_e = X##_e; \ - if (Y##_e == 0) \ - { \ - /* Y is zero or denormalized. */ \ - if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto add_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - ediff--; \ - if (ediff == 0) \ - { \ - _FP_FRAC_ADD_##wc(R, X, Y); \ - goto add3; \ - } \ - if (X##_e == _FP_EXPMAX_##fs) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto add_done; \ - } \ - goto add1; \ - } \ - } \ - else if (X##_e == _FP_EXPMAX_##fs) \ - { \ - /* X is NaN or Inf, Y is normal. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto add_done; \ - } \ - \ - /* Insert implicit MSB of Y. */ \ - _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \ - \ - add1: \ - /* Shift the mantissa of Y to the right EDIFF steps; \ - remember to account later for the implicit MSB of X. */ \ - if (ediff <= _FP_WFRACBITS_##fs) \ - _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \ - else if (!_FP_FRAC_ZEROP_##wc(Y)) \ - _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ - _FP_FRAC_ADD_##wc(R, X, Y); \ - } \ - else if (ediff < 0) \ - { \ - ediff = -ediff; \ - R##_e = Y##_e; \ - if (X##_e == 0) \ - { \ - /* X is zero or denormalized. */ \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto add_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - ediff--; \ - if (ediff == 0) \ - { \ - _FP_FRAC_ADD_##wc(R, Y, X); \ - goto add3; \ - } \ - if (Y##_e == _FP_EXPMAX_##fs) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto add_done; \ - } \ - goto add2; \ - } \ - } \ - else if (Y##_e == _FP_EXPMAX_##fs) \ - { \ - /* Y is NaN or Inf, X is normal. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto add_done; \ - } \ - \ - /* Insert implicit MSB of X. */ \ - _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \ - \ - add2: \ - /* Shift the mantissa of X to the right EDIFF steps; \ - remember to account later for the implicit MSB of Y. */ \ - if (ediff <= _FP_WFRACBITS_##fs) \ - _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \ - else if (!_FP_FRAC_ZEROP_##wc(X)) \ - _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ - _FP_FRAC_ADD_##wc(R, Y, X); \ - } \ - else \ - { \ - /* ediff == 0. */ \ - if (!_FP_EXP_NORMAL(fs, wc, X)) \ - { \ - if (X##_e == 0) \ - { \ - /* X and Y are zero or denormalized. */ \ - R##_e = 0; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - if (!_FP_FRAC_ZEROP_##wc(Y)) \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto add_done; \ - } \ - else if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto add_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_ADD_##wc(R, X, Y); \ - if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \ - { \ - /* Normalized result. */ \ - _FP_FRAC_HIGH_##fs(R) \ - &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \ - R##_e = 1; \ - } \ - goto add_done; \ - } \ - } \ - else \ - { \ - /* X and Y are NaN or Inf. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - R##_e = _FP_EXPMAX_##fs; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - _FP_FRAC_COPY_##wc(R, Y); \ - else if (_FP_FRAC_ZEROP_##wc(Y)) \ - _FP_FRAC_COPY_##wc(R, X); \ - else \ - _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \ - goto add_done; \ - } \ - } \ - /* The exponents of X and Y, both normal, are equal. The \ - implicit MSBs will always add to increase the \ - exponent. */ \ - _FP_FRAC_ADD_##wc(R, X, Y); \ - R##_e = X##_e + 1; \ - _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ - if (R##_e == _FP_EXPMAX_##fs) \ - /* Overflow to infinity (depending on rounding mode). */ \ - _FP_OVERFLOW_SEMIRAW(fs, wc, R); \ - goto add_done; \ - } \ - add3: \ - if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \ - { \ - /* Overflow. */ \ - _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \ - R##_e++; \ - _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ - if (R##_e == _FP_EXPMAX_##fs) \ - /* Overflow to infinity (depending on rounding mode). */ \ - _FP_OVERFLOW_SEMIRAW(fs, wc, R); \ - } \ - add_done: ; \ - } \ - else \ - { \ - /* Subtraction. */ \ - int ediff = X##_e - Y##_e; \ - if (ediff > 0) \ - { \ - R##_e = X##_e; \ - R##_s = X##_s; \ - if (Y##_e == 0) \ - { \ - /* Y is zero or denormalized. */ \ - if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto sub_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - ediff--; \ - if (ediff == 0) \ - { \ - _FP_FRAC_SUB_##wc(R, X, Y); \ - goto sub3; \ - } \ - if (X##_e == _FP_EXPMAX_##fs) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto sub_done; \ - } \ - goto sub1; \ - } \ - } \ - else if (X##_e == _FP_EXPMAX_##fs) \ - { \ - /* X is NaN or Inf, Y is normal. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_FRAC_COPY_##wc(R, X); \ - goto sub_done; \ - } \ - \ - /* Insert implicit MSB of Y. */ \ - _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \ - \ - sub1: \ - /* Shift the mantissa of Y to the right EDIFF steps; \ - remember to account later for the implicit MSB of X. */ \ - if (ediff <= _FP_WFRACBITS_##fs) \ - _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \ - else if (!_FP_FRAC_ZEROP_##wc(Y)) \ - _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ - _FP_FRAC_SUB_##wc(R, X, Y); \ - } \ - else if (ediff < 0) \ - { \ - ediff = -ediff; \ - R##_e = Y##_e; \ - R##_s = Y##_s; \ - if (X##_e == 0) \ - { \ - /* X is zero or denormalized. */ \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto sub_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - ediff--; \ - if (ediff == 0) \ - { \ - _FP_FRAC_SUB_##wc(R, Y, X); \ - goto sub3; \ - } \ - if (Y##_e == _FP_EXPMAX_##fs) \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto sub_done; \ - } \ - goto sub2; \ - } \ - } \ - else if (Y##_e == _FP_EXPMAX_##fs) \ - { \ - /* Y is NaN or Inf, X is normal. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - _FP_FRAC_COPY_##wc(R, Y); \ - goto sub_done; \ - } \ - \ - /* Insert implicit MSB of X. */ \ - _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \ - \ - sub2: \ - /* Shift the mantissa of X to the right EDIFF steps; \ - remember to account later for the implicit MSB of Y. */ \ - if (ediff <= _FP_WFRACBITS_##fs) \ - _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \ - else if (!_FP_FRAC_ZEROP_##wc(X)) \ - _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ - _FP_FRAC_SUB_##wc(R, Y, X); \ - } \ - else \ - { \ - /* ediff == 0. */ \ - if (!_FP_EXP_NORMAL(fs, wc, X)) \ - { \ - if (X##_e == 0) \ - { \ - /* X and Y are zero or denormalized. */ \ - R##_e = 0; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - _FP_FRAC_COPY_##wc(R, Y); \ - if (_FP_FRAC_ZEROP_##wc(Y)) \ - R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - R##_s = Y##_s; \ - } \ - goto sub_done; \ - } \ - else if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_COPY_##wc(R, X); \ - R##_s = X##_s; \ - goto sub_done; \ - } \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_SUB_##wc(R, X, Y); \ - R##_s = X##_s; \ - if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \ - { \ - /* |X| < |Y|, negate result. */ \ - _FP_FRAC_SUB_##wc(R, Y, X); \ - R##_s = Y##_s; \ - } \ - else if (_FP_FRAC_ZEROP_##wc(R)) \ - R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ - goto sub_done; \ - } \ - } \ - else \ - { \ - /* X and Y are NaN or Inf, of opposite signs. */ \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \ - _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \ - R##_e = _FP_EXPMAX_##fs; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - /* Inf - Inf. */ \ - R##_s = _FP_NANSIGN_##fs; \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - _FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - } \ - else \ - { \ - /* Inf - NaN. */ \ - R##_s = Y##_s; \ - _FP_FRAC_COPY_##wc(R, Y); \ - } \ - } \ - else \ - { \ - if (_FP_FRAC_ZEROP_##wc(Y)) \ - { \ - /* NaN - Inf. */ \ - R##_s = X##_s; \ - _FP_FRAC_COPY_##wc(R, X); \ - } \ - else \ - { \ - /* NaN - NaN. */ \ - _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \ - } \ - } \ - goto sub_done; \ - } \ - } \ - /* The exponents of X and Y, both normal, are equal. The \ - implicit MSBs cancel. */ \ - R##_e = X##_e; \ - _FP_FRAC_SUB_##wc(R, X, Y); \ - R##_s = X##_s; \ - if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \ - { \ - /* |X| < |Y|, negate result. */ \ - _FP_FRAC_SUB_##wc(R, Y, X); \ - R##_s = Y##_s; \ - } \ - else if (_FP_FRAC_ZEROP_##wc(R)) \ - { \ - R##_e = 0; \ - R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ - goto sub_done; \ - } \ - goto norm; \ - } \ - sub3: \ - if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \ - { \ - int diff; \ - /* Carry into most significant bit of larger one of X and Y, \ - canceling it; renormalize. */ \ - _FP_FRAC_HIGH_##fs(R) &= _FP_IMPLBIT_SH_##fs - 1; \ - norm: \ - _FP_FRAC_CLZ_##wc(diff, R); \ - diff -= _FP_WFRACXBITS_##fs; \ - _FP_FRAC_SLL_##wc(R, diff); \ - if (R##_e <= diff) \ - { \ - /* R is denormalized. */ \ - diff = diff - R##_e + 1; \ - _FP_FRAC_SRS_##wc(R, diff, _FP_WFRACBITS_##fs); \ - R##_e = 0; \ - } \ - else \ - { \ - R##_e -= diff; \ - _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \ - } \ - } \ - sub_done: ; \ - } \ +/* + * Main addition routine. The input values should be cooked. + */ + +#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ +do { \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + { \ + /* shift the smaller number so that its exponent matches the larger */ \ + _FP_I_TYPE diff = X##_e - Y##_e; \ + \ + if (diff < 0) \ + { \ + diff = -diff; \ + if (diff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc(X)) \ + _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ + R##_e = Y##_e; \ + } \ + else \ + { \ + if (diff > 0) \ + { \ + if (diff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc(Y)) \ + _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ + } \ + R##_e = X##_e; \ + } \ + \ + R##_c = FP_CLS_NORMAL; \ + \ + if (X##_s == Y##_s) \ + { \ + R##_s = X##_s; \ + _FP_FRAC_ADD_##wc(R, X, Y); \ + if (_FP_FRAC_OVERP_##wc(fs, R)) \ + { \ + _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ + R##_e++; \ + } \ + } \ + else \ + { \ + R##_s = X##_s; \ + _FP_FRAC_SUB_##wc(R, X, Y); \ + if (_FP_FRAC_ZEROP_##wc(R)) \ + { \ + /* return an exact zero */ \ + if (FP_ROUNDMODE == FP_RND_MINF) \ + R##_s |= Y##_s; \ + else \ + R##_s &= Y##_s; \ + R##_c = FP_CLS_ZERO; \ + } \ + else \ + { \ + if (_FP_FRAC_NEGP_##wc(R)) \ + { \ + _FP_FRAC_SUB_##wc(R, Y, X); \ + R##_s = Y##_s; \ + } \ + \ + /* renormalize after subtraction */ \ + _FP_FRAC_CLZ_##wc(diff, R); \ + diff -= _FP_WFRACXBITS_##fs; \ + if (diff) \ + { \ + R##_e -= diff; \ + _FP_FRAC_SLL_##wc(R, diff); \ + } \ + } \ + } \ + break; \ + } \ + \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ + _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ + R##_e = X##_e; \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_s = X##_s; \ + R##_c = X##_c; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ + R##_e = Y##_e; \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ + _FP_FRAC_COPY_##wc(R, Y); \ + R##_s = Y##_s; \ + R##_c = Y##_c; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ + if (X##_s != Y##_s) \ + { \ + /* +INF + -INF => NAN */ \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + break; \ + } \ + /* FALLTHRU */ \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ + R##_s = X##_s; \ + R##_c = FP_CLS_INF; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ + R##_s = Y##_s; \ + R##_c = FP_CLS_INF; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ + /* make sure the sign is correct */ \ + if (FP_ROUNDMODE == FP_RND_MINF) \ + R##_s = X##_s | Y##_s; \ + else \ + R##_s = X##_s & Y##_s; \ + R##_c = FP_CLS_ZERO; \ + break; \ + \ + default: \ + abort(); \ + } \ } while (0) #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+') -#define _FP_SUB(fs, wc, R, X, Y) \ - do { \ - if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) Y##_s ^= 1; \ - _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ +#define _FP_SUB(fs, wc, R, X, Y) \ + do { \ + if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \ + _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ } while (0) @@ -907,28 +537,20 @@ do { \ /* Simplification for strict equality. */ -#define _FP_CMP_EQ(fs, wc, ret, X, Y) \ - do { \ - /* NANs are unordered */ \ - if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ - || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ - { \ - ret = 1; \ - } \ - else \ - { \ - ret = !(X##_e == Y##_e \ - && _FP_FRAC_EQ_##wc(X, Y) \ - && (X##_s == Y##_s || (!X##_e && _FP_FRAC_ZEROP_##wc(X)))); \ - } \ - } while (0) - -/* Version to test unordered. */ - -#define _FP_CMP_UNORD(fs, wc, ret, X, Y) \ - do { \ - ret = ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ - || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))); \ +#define _FP_CMP_EQ(fs, wc, ret, X, Y) \ + do { \ + /* NANs are unordered */ \ + if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ + || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ + { \ + ret = 1; \ + } \ + else \ + { \ + ret = !(X##_e == Y##_e \ + && _FP_FRAC_EQ_##wc(X, Y) \ + && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \ + } \ } while (0) /* @@ -986,280 +608,115 @@ do { \ } while (0) /* - * Convert from FP to integer. Input is raw. + * Convert from FP to integer */ /* RSIGNED can have following values: * 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus - * the result is either 0 or (2^rsize)-1 depending on the sign in such - * case. - * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, - * NV is set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 - * depending on the sign in such case. + * the result is either 0 or (2^rsize)-1 depending on the sign in such case. + * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is + * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending + * on the sign in such case. * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is - * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 - * depending on the sign in such case. + * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending + * on the sign in such case. */ -#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ -do { \ - if (X##_e < _FP_EXPBIAS_##fs) \ - { \ - r = 0; \ - if (X##_e == 0) \ - { \ - if (!_FP_FRAC_ZEROP_##wc(X)) \ - { \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - } \ - } \ - else \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - } \ - else if (X##_e >= _FP_EXPBIAS_##fs + rsize - (rsigned > 0 || X##_s) \ - || (!rsigned && X##_s)) \ - { \ - /* Overflow or converting to the most negative integer. */ \ - if (rsigned) \ - { \ - r = 1; \ - r <<= rsize - 1; \ - r -= 1 - X##_s; \ - } else { \ - r = 0; \ - if (X##_s) \ - r = ~r; \ - } \ - \ - if (rsigned && X##_s && X##_e == _FP_EXPBIAS_##fs + rsize - 1) \ - { \ - /* Possibly converting to most negative integer; check the \ - mantissa. */ \ - int inexact = 0; \ - (void)((_FP_FRACBITS_##fs > rsize) \ - ? ({ _FP_FRAC_SRST_##wc(X, inexact, \ - _FP_FRACBITS_##fs - rsize, \ - _FP_FRACBITS_##fs); 0; }) \ - : 0); \ - if (!_FP_FRAC_ZEROP_##wc(X)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - else if (inexact) \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - } \ - else \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - } \ - else \ - { \ - _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ - if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \ - { \ - _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ - r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \ - } \ - else \ - { \ - int inexact; \ - _FP_FRAC_SRST_##wc(X, inexact, \ - (_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \ - - X##_e), \ - _FP_FRACBITS_##fs); \ - if (inexact) \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ - } \ - if (rsigned && X##_s) \ - r = -r; \ - } \ -} while (0) - -/* Convert integer to fp. Output is raw. RTYPE is unsigned even if - input is signed. */ -#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ - do { \ - if (r) \ - { \ - rtype ur_; \ - \ - if ((X##_s = (r < 0))) \ - r = -(rtype)r; \ - \ - ur_ = (rtype) r; \ - (void)((rsize <= _FP_W_TYPE_SIZE) \ - ? ({ \ - int lz_; \ - __FP_CLZ(lz_, (_FP_W_TYPE)ur_); \ - X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \ - }) \ - : ((rsize <= 2 * _FP_W_TYPE_SIZE) \ - ? ({ \ - int lz_; \ - __FP_CLZ_2(lz_, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ - (_FP_W_TYPE)ur_); \ - X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \ - - lz_); \ - }) \ - : (abort(), 0))); \ - \ - if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \ - && X##_e >= _FP_EXPMAX_##fs) \ - { \ - /* Exponent too big; overflow to infinity. (May also \ - happen after rounding below.) */ \ - _FP_OVERFLOW_SEMIRAW(fs, wc, X); \ - goto pack_semiraw; \ - } \ - \ - if (rsize <= _FP_FRACBITS_##fs \ - || X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \ - { \ - /* Exactly representable; shift left. */ \ - _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ - _FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \ - + _FP_FRACBITS_##fs - 1 - X##_e)); \ - } \ - else \ - { \ - /* More bits in integer than in floating type; need to \ - round. */ \ - if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \ - ur_ = ((ur_ >> (X##_e - _FP_EXPBIAS_##fs \ - - _FP_WFRACBITS_##fs + 1)) \ - | ((ur_ << (rsize - (X##_e - _FP_EXPBIAS_##fs \ - - _FP_WFRACBITS_##fs + 1))) \ - != 0)); \ - _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ - if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \ - _FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \ - + _FP_WFRACBITS_##fs - 1 - X##_e)); \ - _FP_FRAC_HIGH_##fs(X) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \ - pack_semiraw: \ - _FP_PACK_SEMIRAW(fs, wc, X); \ - } \ - } \ - else \ - { \ - X##_s = 0; \ - X##_e = 0; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - } \ +#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ + do { \ + switch (X##_c) \ + { \ + case FP_CLS_NORMAL: \ + if (X##_e < 0) \ + { \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + case FP_CLS_ZERO: \ + r = 0; \ + } \ + else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ + || (!rsigned && X##_s)) \ + { /* overflow */ \ + case FP_CLS_NAN: \ + case FP_CLS_INF: \ + if (rsigned) \ + { \ + r = 1; \ + r <<= rsize - 1; \ + r -= 1 - X##_s; \ + } else { \ + r = 0; \ + if (X##_s) \ + r = ~r; \ + } \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + } \ + else \ + { \ + if (_FP_W_TYPE_SIZE*wc < rsize) \ + { \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + r <<= X##_e - _FP_WFRACBITS_##fs; \ + } \ + else \ + { \ + if (X##_e >= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ + else if (X##_e < _FP_WFRACBITS_##fs - 1) \ + { \ + _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \ + _FP_WFRACBITS_##fs); \ + if (_FP_FRAC_LOW_##wc(X) & 1) \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + _FP_FRAC_SRL_##wc(X, 1); \ + } \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + } \ + if (rsigned && X##_s) \ + r = -r; \ + } \ + break; \ + } \ } while (0) +#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ + do { \ + if (r) \ + { \ + unsigned rtype ur_; \ + X##_c = FP_CLS_NORMAL; \ + \ + if ((X##_s = (r < 0))) \ + r = -r; \ + \ + ur_ = (unsigned rtype) r; \ + if (rsize <= _FP_W_TYPE_SIZE) \ + __FP_CLZ(X##_e, ur_); \ + else \ + __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ + (_FP_W_TYPE)ur_); \ + if (rsize < _FP_W_TYPE_SIZE) \ + X##_e -= (_FP_W_TYPE_SIZE - rsize); \ + X##_e = rsize - X##_e - 1; \ + \ + if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \ + __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\ + _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ + if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \ + _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \ + } \ + else \ + { \ + X##_c = FP_CLS_ZERO, X##_s = 0; \ + } \ + } while (0) -/* Extend from a narrower floating-point format to a wider one. Input - and output are raw. */ -#define FP_EXTEND(dfs,sfs,dwc,swc,D,S) \ -do { \ - if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \ - || (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \ - < _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \ - || _FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \ - abort(); \ - D##_s = S##_s; \ - _FP_FRAC_COPY_##dwc##_##swc(D, S); \ - if (_FP_EXP_NORMAL(sfs, swc, S)) \ - { \ - D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \ - _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \ - } \ - else \ - { \ - if (S##_e == 0) \ - { \ - if (_FP_FRAC_ZEROP_##swc(S)) \ - D##_e = 0; \ - else \ - { \ - int _lz; \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_CLZ_##swc(_lz, S); \ - _FP_FRAC_SLL_##dwc(D, \ - _lz + _FP_FRACBITS_##dfs \ - - _FP_FRACTBITS_##sfs); \ - D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \ - + _FP_FRACXBITS_##sfs - _lz); \ - } \ - } \ - else \ - { \ - D##_e = _FP_EXPMAX_##dfs; \ - if (!_FP_FRAC_ZEROP_##swc(S)) \ - { \ - if (!(_FP_FRAC_HIGH_RAW_##sfs(S) & _FP_QNANBIT_##sfs)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \ - - _FP_FRACBITS_##sfs)); \ - } \ - } \ - } \ -} while (0) -/* Truncate from a wider floating-point format to a narrower one. - Input and output are semi-raw. */ -#define FP_TRUNC(dfs,sfs,dwc,swc,D,S) \ -do { \ - if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \ - || _FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \ - abort(); \ - D##_s = S##_s; \ - if (_FP_EXP_NORMAL(sfs, swc, S)) \ - { \ - D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \ - if (D##_e >= _FP_EXPMAX_##dfs) \ - _FP_OVERFLOW_SEMIRAW(dfs, dwc, D); \ - else \ - { \ - if (D##_e <= 0) \ - { \ - if (D##_e <= 1 - _FP_FRACBITS_##dfs) \ - _FP_FRAC_SET_##swc(S, _FP_ZEROFRAC_##swc); \ - else \ - { \ - _FP_FRAC_HIGH_##sfs(S) |= _FP_IMPLBIT_SH_##sfs; \ - _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \ - - _FP_WFRACBITS_##dfs + 1 - D##_e), \ - _FP_WFRACBITS_##sfs); \ - } \ - D##_e = 0; \ - } \ - else \ - _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \ - - _FP_WFRACBITS_##dfs), \ - _FP_WFRACBITS_##sfs); \ - _FP_FRAC_COPY_##dwc##_##swc(D, S); \ - } \ - } \ - else \ - { \ - if (S##_e == 0) \ - { \ - D##_e = 0; \ - _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ - if (!_FP_FRAC_ZEROP_##swc(S)) \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - } \ - } \ - else \ - { \ - D##_e = _FP_EXPMAX_##dfs; \ - if (_FP_FRAC_ZEROP_##swc(S)) \ - _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ - else \ - { \ - _FP_CHECK_SIGNAN_SEMIRAW(sfs, swc, S); \ - _FP_FRAC_SRL_##swc(S, (_FP_WFRACBITS_##sfs \ - - _FP_WFRACBITS_##dfs)); \ - _FP_FRAC_COPY_##dwc##_##swc(D, S); \ - /* Semi-raw NaN must have all workbits cleared. */ \ - _FP_FRAC_LOW_##dwc(D) \ - &= ~(_FP_W_TYPE) ((1 << _FP_WORKBITS) - 1); \ - _FP_FRAC_HIGH_##dfs(D) |= _FP_QNANBIT_SH_##dfs; \ - } \ - } \ - } \ -} while (0) +#define FP_CONV(dfs,sfs,dwc,swc,D,S) \ + do { \ + _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \ + D##_e = S##_e; \ + D##_c = S##_c; \ + D##_s = S##_s; \ + } while (0) /* * Helper primitives. @@ -1268,18 +725,40 @@ do { \ /* Count leading zeros in a word. */ #ifndef __FP_CLZ -/* GCC 3.4 and later provide the builtins for us. */ -#define __FP_CLZ(r, x) \ - do { \ - if (sizeof (_FP_W_TYPE) == sizeof (unsigned int)) \ - r = __builtin_clz (x); \ - else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long)) \ - r = __builtin_clzl (x); \ - else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long long)) \ - r = __builtin_clzll (x); \ - else \ - abort (); \ +#if _FP_W_TYPE_SIZE < 64 +/* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */ +#define __FP_CLZ(r, x) \ + do { \ + _FP_W_TYPE _t = (x); \ + r = _FP_W_TYPE_SIZE - 1; \ + if (_t > 0xffff) r -= 16; \ + if (_t > 0xffff) _t >>= 16; \ + if (_t > 0xff) r -= 8; \ + if (_t > 0xff) _t >>= 8; \ + if (_t & 0xf0) r -= 4; \ + if (_t & 0xf0) _t >>= 4; \ + if (_t & 0xc) r -= 2; \ + if (_t & 0xc) _t >>= 2; \ + if (_t & 0x2) r -= 1; \ + } while (0) +#else /* not _FP_W_TYPE_SIZE < 64 */ +#define __FP_CLZ(r, x) \ + do { \ + _FP_W_TYPE _t = (x); \ + r = _FP_W_TYPE_SIZE - 1; \ + if (_t > 0xffffffff) r -= 32; \ + if (_t > 0xffffffff) _t >>= 32; \ + if (_t > 0xffff) r -= 16; \ + if (_t > 0xffff) _t >>= 16; \ + if (_t > 0xff) r -= 8; \ + if (_t > 0xff) _t >>= 8; \ + if (_t & 0xf0) r -= 4; \ + if (_t & 0xf0) _t >>= 4; \ + if (_t & 0xc) r -= 2; \ + if (_t & 0xc) _t >>= 2; \ + if (_t & 0x2) r -= 1; \ } while (0) +#endif /* not _FP_W_TYPE_SIZE < 64 */ #endif /* ndef __FP_CLZ */ #define _FP_DIV_HELP_imm(q, r, n, d) \ |