diff options
Diffstat (limited to 'soft-fp/op-common.h')
| -rw-r--r-- | soft-fp/op-common.h | 2837 |
1 files changed, 1448 insertions, 1389 deletions
diff --git a/soft-fp/op-common.h b/soft-fp/op-common.h index d87ffaf131..89fec5d878 100644 --- a/soft-fp/op-common.h +++ b/soft-fp/op-common.h @@ -50,46 +50,48 @@ * of fp value and normalizing both the exponent and the fraction. */ -#define _FP_UNPACK_CANONICAL(fs, wc, X) \ -do { \ - switch (X##_e) \ - { \ - default: \ - _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ - _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ - X##_e -= _FP_EXPBIAS_##fs; \ - X##_c = FP_CLS_NORMAL; \ - break; \ - \ - case 0: \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - X##_c = FP_CLS_ZERO; \ - else \ - { \ - /* a denormalized number */ \ - _FP_I_TYPE _shift; \ - _FP_FRAC_CLZ_##wc(_shift, X); \ - _shift -= _FP_FRACXBITS_##fs; \ - _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \ - X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \ - X##_c = FP_CLS_NORMAL; \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - } \ - break; \ - \ - case _FP_EXPMAX_##fs: \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - X##_c = FP_CLS_INF; \ - else \ - { \ - X##_c = FP_CLS_NAN; \ - /* Check for signaling NaN */ \ - if (_FP_FRAC_SNANP(fs, X)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - } \ - break; \ - } \ -} while (0) +#define _FP_UNPACK_CANONICAL(fs, wc, X) \ + do \ + { \ + switch (X##_e) \ + { \ + default: \ + _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ + _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ + X##_e -= _FP_EXPBIAS_##fs; \ + X##_c = FP_CLS_NORMAL; \ + break; \ + \ + case 0: \ + if (_FP_FRAC_ZEROP_##wc(X)) \ + X##_c = FP_CLS_ZERO; \ + else \ + { \ + /* a denormalized number */ \ + _FP_I_TYPE _shift; \ + _FP_FRAC_CLZ_##wc(_shift, X); \ + _shift -= _FP_FRACXBITS_##fs; \ + _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \ + X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \ + X##_c = FP_CLS_NORMAL; \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + } \ + break; \ + \ + case _FP_EXPMAX_##fs: \ + if (_FP_FRAC_ZEROP_##wc(X)) \ + X##_c = FP_CLS_INF; \ + else \ + { \ + X##_c = FP_CLS_NAN; \ + /* Check for signaling NaN */ \ + if (_FP_FRAC_SNANP(fs, X)) \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + } \ + break; \ + } \ + } \ + 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 @@ -99,76 +101,86 @@ do { \ /* 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 \ + do \ { \ - X##_e = _FP_EXPMAX_##fs - 1; \ - _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ + 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); \ } \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ -} while (0) + 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_SNANP_SEMIRAW(fs, X)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ -} while (0) +#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \ + do \ + { \ + if (X##_e == _FP_EXPMAX_##fs \ + && !_FP_FRAC_ZEROP_##wc(X) \ + && _FP_FRAC_SNANP_SEMIRAW(fs, X)) \ + 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) + 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) /* Make the fractional part a quiet NaN, preserving the payload if possible, otherwise make it the canonical quiet NaN and set the sign bit accordingly. */ -#define _FP_SETQNAN(fs, wc, X) \ -do { \ - if (_FP_QNANNEGATEDP) \ - { \ - _FP_FRAC_HIGH_RAW_##fs(X) &= _FP_QNANBIT_##fs - 1; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - X##_s = _FP_NANSIGN_##fs; \ - _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ - } \ - } \ - else \ - _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ -} while (0) -#define _FP_SETQNAN_SEMIRAW(fs, wc, X) \ -do { \ - if (_FP_QNANNEGATEDP) \ - { \ - _FP_FRAC_HIGH_##fs(X) &= _FP_QNANBIT_SH_##fs - 1; \ - if (_FP_FRAC_ZEROP_##wc(X)) \ - { \ - X##_s = _FP_NANSIGN_##fs; \ - _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ - _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ - } \ - } \ - else \ - _FP_FRAC_HIGH_##fs(X) |= _FP_QNANBIT_SH_##fs; \ -} while (0) +#define _FP_SETQNAN(fs, wc, X) \ + do \ + { \ + if (_FP_QNANNEGATEDP) \ + { \ + _FP_FRAC_HIGH_RAW_##fs(X) &= _FP_QNANBIT_##fs - 1; \ + if (_FP_FRAC_ZEROP_##wc(X)) \ + { \ + X##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ + } \ + } \ + else \ + _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ + } \ + while (0) +#define _FP_SETQNAN_SEMIRAW(fs, wc, X) \ + do \ + { \ + if (_FP_QNANNEGATEDP) \ + { \ + _FP_FRAC_HIGH_##fs(X) &= _FP_QNANBIT_SH_##fs - 1; \ + if (_FP_FRAC_ZEROP_##wc(X)) \ + { \ + X##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ + _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ + } \ + } \ + else \ + _FP_FRAC_HIGH_##fs(X) |= _FP_QNANBIT_SH_##fs; \ + } \ + 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) @@ -177,34 +189,36 @@ do { \ 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 (X##_e == 0 && !_FP_FRAC_ZEROP_##wc(X)) \ - { \ + do \ + { \ + _FP_ROUND(wc, X); \ + if (X##_e == 0 && !_FP_FRAC_ZEROP_##wc(X)) \ + { \ if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \ || (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \ FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ - } \ - 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 (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ - { \ - if (!_FP_KEEPNANFRACP) \ + } \ + if (_FP_FRAC_HIGH_##fs(X) \ + & (_FP_OVERFLOW_##fs >> 1)) \ { \ - _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ - X##_s = _FP_NANSIGN_##fs; \ + _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 (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ + { \ + if (!_FP_KEEPNANFRACP) \ + { \ + _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ + X##_s = _FP_NANSIGN_##fs; \ + } \ + else \ + _FP_SETQNAN(fs, wc, X); \ } \ - else \ - _FP_SETQNAN(fs, wc, X); \ } \ -} while (0) + while (0) /* * Before packing the bits back into the native fp result, take care @@ -213,910 +227,927 @@ do { \ * extracted -- but that is ok, we can regenerate them now. */ -#define _FP_PACK_CANONICAL(fs, wc, X) \ -do { \ - switch (X##_c) \ - { \ - case FP_CLS_NORMAL: \ - X##_e += _FP_EXPBIAS_##fs; \ - if (X##_e > 0) \ - { \ - _FP_ROUND(wc, X); \ - if (_FP_FRAC_OVERP_##wc(fs, X)) \ - { \ - _FP_FRAC_CLEAR_OVERP_##wc(fs, X); \ - X##_e++; \ - } \ - _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ - if (X##_e >= _FP_EXPMAX_##fs) \ - { \ - /* overflow */ \ - switch (FP_ROUNDMODE) \ - { \ - case FP_RND_NEAREST: \ - X##_c = FP_CLS_INF; \ - break; \ - case FP_RND_PINF: \ - if (!X##_s) X##_c = FP_CLS_INF; \ - break; \ - case FP_RND_MINF: \ - if (X##_s) X##_c = FP_CLS_INF; \ - break; \ - } \ - if (X##_c == FP_CLS_INF) \ - { \ - /* Overflow to infinity */ \ - X##_e = _FP_EXPMAX_##fs; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - } \ - else \ - { \ - /* Overflow to maximum normal */ \ - X##_e = _FP_EXPMAX_##fs - 1; \ - _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ - } \ - FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - } \ - } \ - else \ - { \ - /* we've got a denormalized number */ \ - X##_e = -X##_e + 1; \ - if (X##_e <= _FP_WFRACBITS_##fs) \ - { \ - _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \ - _FP_ROUND(wc, X); \ - if (_FP_FRAC_HIGH_##fs(X) \ - & (_FP_OVERFLOW_##fs >> 1)) \ - { \ - X##_e = 1; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - } \ - else \ - { \ - X##_e = 0; \ - _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ - } \ - if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \ - || (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \ - FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ - } \ - else \ - { \ - /* underflow to zero */ \ - X##_e = 0; \ - if (!_FP_FRAC_ZEROP_##wc(X)) \ - { \ - _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ - _FP_ROUND(wc, X); \ - _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \ - } \ - FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ - } \ - } \ - break; \ - \ - case FP_CLS_ZERO: \ - X##_e = 0; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - break; \ - \ - case FP_CLS_INF: \ - X##_e = _FP_EXPMAX_##fs; \ - _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ - break; \ - \ - case FP_CLS_NAN: \ - X##_e = _FP_EXPMAX_##fs; \ - if (!_FP_KEEPNANFRACP) \ - { \ - _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ - X##_s = _FP_NANSIGN_##fs; \ - } \ - else \ - _FP_SETQNAN(fs, wc, X); \ - break; \ - } \ -} while (0) +#define _FP_PACK_CANONICAL(fs, wc, X) \ + do \ + { \ + switch (X##_c) \ + { \ + case FP_CLS_NORMAL: \ + X##_e += _FP_EXPBIAS_##fs; \ + if (X##_e > 0) \ + { \ + _FP_ROUND(wc, X); \ + if (_FP_FRAC_OVERP_##wc(fs, X)) \ + { \ + _FP_FRAC_CLEAR_OVERP_##wc(fs, X); \ + X##_e++; \ + } \ + _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ + if (X##_e >= _FP_EXPMAX_##fs) \ + { \ + /* overflow */ \ + switch (FP_ROUNDMODE) \ + { \ + case FP_RND_NEAREST: \ + X##_c = FP_CLS_INF; \ + break; \ + case FP_RND_PINF: \ + if (!X##_s) \ + X##_c = FP_CLS_INF; \ + break; \ + case FP_RND_MINF: \ + if (X##_s) \ + X##_c = FP_CLS_INF; \ + break; \ + } \ + if (X##_c == FP_CLS_INF) \ + { \ + /* Overflow to infinity */ \ + X##_e = _FP_EXPMAX_##fs; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ + } \ + else \ + { \ + /* Overflow to maximum normal */ \ + X##_e = _FP_EXPMAX_##fs - 1; \ + _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ + } \ + FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + } \ + } \ + else \ + { \ + /* we've got a denormalized number */ \ + X##_e = -X##_e + 1; \ + if (X##_e <= _FP_WFRACBITS_##fs) \ + { \ + _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \ + _FP_ROUND(wc, X); \ + if (_FP_FRAC_HIGH_##fs(X) \ + & (_FP_OVERFLOW_##fs >> 1)) \ + { \ + X##_e = 1; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + } \ + else \ + { \ + X##_e = 0; \ + _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ + } \ + if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \ + || (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \ + FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ + } \ + else \ + { \ + /* underflow to zero */ \ + X##_e = 0; \ + if (!_FP_FRAC_ZEROP_##wc(X)) \ + { \ + _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ + _FP_ROUND(wc, X); \ + _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \ + } \ + FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ + } \ + } \ + break; \ + \ + case FP_CLS_ZERO: \ + X##_e = 0; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ + break; \ + \ + case FP_CLS_INF: \ + X##_e = _FP_EXPMAX_##fs; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ + break; \ + \ + case FP_CLS_NAN: \ + X##_e = _FP_EXPMAX_##fs; \ + if (!_FP_KEEPNANFRACP) \ + { \ + _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ + X##_s = _FP_NANSIGN_##fs; \ + } \ + else \ + _FP_SETQNAN(fs, wc, X); \ + break; \ + } \ + } \ + while (0) /* This one accepts raw argument and not cooked, returns * 1 if X is a signaling NaN. */ -#define _FP_ISSIGNAN(fs, wc, X) \ -({ \ - int __ret = 0; \ - if (X##_e == _FP_EXPMAX_##fs) \ - { \ - if (!_FP_FRAC_ZEROP_##wc(X) \ - && _FP_FRAC_SNANP(fs, X)) \ - __ret = 1; \ - } \ - __ret; \ -}) +#define _FP_ISSIGNAN(fs, wc, X) \ + ({ \ + int __ret = 0; \ + if (X##_e == _FP_EXPMAX_##fs) \ + { \ + if (!_FP_FRAC_ZEROP_##wc(X) \ + && _FP_FRAC_SNANP(fs, X)) \ + __ret = 1; \ + } \ + __ret; \ + }) /* 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; \ +#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; \ - } \ - } \ - sub_done: ; \ - } \ -} while (0) + 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: ; \ + } \ + } \ + 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, '-'); \ - } while (0) +#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, '-'); \ + } \ + while (0) /* * Main negation routine. The input value is raw. */ -#define _FP_NEG(fs, wc, R, X) \ - do { \ - _FP_FRAC_COPY_##wc(R, X); \ - R##_e = X##_e; \ - R##_s = 1 ^ X##_s; \ - } while (0) +#define _FP_NEG(fs, wc, R, X) \ + do \ + { \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_e = X##_e; \ + R##_s = 1 ^ X##_s; \ + } \ + while (0) /* * Main multiplication routine. The input values should be cooked. */ -#define _FP_MUL(fs, wc, R, X, Y) \ -do { \ - R##_s = X##_s ^ Y##_s; \ - R##_e = X##_e + Y##_e + 1; \ - switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ - { \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ - R##_c = FP_CLS_NORMAL; \ - \ - _FP_MUL_MEAT_##fs(R,X,Y); \ - \ - if (_FP_FRAC_OVERP_##wc(fs, R)) \ - _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ - else \ - R##_e--; \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ - _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \ - break; \ - \ - 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): \ - R##_s = X##_s; \ - \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ - _FP_FRAC_COPY_##wc(R, X); \ - R##_c = X##_c; \ - break; \ - \ - 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): \ - R##_s = Y##_s; \ - \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ - _FP_FRAC_COPY_##wc(R, Y); \ - R##_c = Y##_c; \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ - R##_s = _FP_NANSIGN_##fs; \ - R##_c = FP_CLS_NAN; \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - break; \ - \ - default: \ - abort(); \ - } \ -} while (0) - - -/* Fused multiply-add. The input values should be cooked. */ - -#define _FP_FMA(fs, wc, dwc, R, X, Y, Z) \ -do { \ - FP_DECL_##fs(T); \ - T##_s = X##_s ^ Y##_s; \ - T##_e = X##_e + Y##_e + 1; \ - switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ - { \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ - switch (Z##_c) \ - { \ - case FP_CLS_INF: \ - case FP_CLS_NAN: \ - R##_s = Z##_s; \ - _FP_FRAC_COPY_##wc(R, Z); \ - R##_c = Z##_c; \ - break; \ +#define _FP_MUL(fs, wc, R, X, Y) \ + do \ + { \ + R##_s = X##_s ^ Y##_s; \ + R##_e = X##_e + Y##_e + 1; \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ \ - case FP_CLS_ZERO: \ - R##_c = FP_CLS_NORMAL; \ - R##_s = T##_s; \ - R##_e = T##_e; \ + _FP_MUL_MEAT_##fs(R,X,Y); \ \ - _FP_MUL_MEAT_##fs(R, X, Y); \ + if (_FP_FRAC_OVERP_##wc(fs, R)) \ + _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ + else \ + R##_e--; \ + break; \ \ - if (_FP_FRAC_OVERP_##wc(fs, R)) \ - _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ - else \ - R##_e--; \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ + _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \ + break; \ \ - case FP_CLS_NORMAL:; \ - _FP_FRAC_DECL_##dwc(TD); \ - _FP_FRAC_DECL_##dwc(ZD); \ - _FP_FRAC_DECL_##dwc(RD); \ - _FP_MUL_MEAT_DW_##fs(TD, X, Y); \ - R##_e = T##_e; \ - int tsh = _FP_FRAC_HIGHBIT_DW_##dwc(fs, TD) == 0; \ - T##_e -= tsh; \ - int ediff = T##_e - Z##_e; \ - if (ediff >= 0) \ - { \ - int shift = _FP_WFRACBITS_##fs - tsh - ediff; \ - if (shift <= -_FP_WFRACBITS_##fs) \ - _FP_FRAC_SET_##dwc(ZD, _FP_MINFRAC_##dwc); \ - else \ - { \ - _FP_FRAC_COPY_##dwc##_##wc(ZD, Z); \ - if (shift < 0) \ - _FP_FRAC_SRS_##dwc(ZD, -shift, \ - _FP_WFRACBITS_DW_##fs); \ - else if (shift > 0) \ - _FP_FRAC_SLL_##dwc(ZD, shift); \ - } \ - R##_s = T##_s; \ - if (T##_s == Z##_s) \ - _FP_FRAC_ADD_##dwc(RD, TD, ZD); \ - else \ - { \ - _FP_FRAC_SUB_##dwc(RD, TD, ZD); \ - if (_FP_FRAC_NEGP_##dwc(RD)) \ - { \ - R##_s = Z##_s; \ - _FP_FRAC_SUB_##dwc(RD, ZD, TD); \ - } \ - } \ - } \ - else \ - { \ - R##_e = Z##_e; \ - R##_s = Z##_s; \ - _FP_FRAC_COPY_##dwc##_##wc(ZD, Z); \ - _FP_FRAC_SLL_##dwc(ZD, _FP_WFRACBITS_##fs); \ - int shift = -ediff - tsh; \ - if (shift >= _FP_WFRACBITS_DW_##fs) \ - _FP_FRAC_SET_##dwc(TD, _FP_MINFRAC_##dwc); \ - else if (shift > 0) \ - _FP_FRAC_SRS_##dwc(TD, shift, \ - _FP_WFRACBITS_DW_##fs); \ - if (Z##_s == T##_s) \ - _FP_FRAC_ADD_##dwc(RD, ZD, TD); \ - else \ - _FP_FRAC_SUB_##dwc(RD, ZD, TD); \ - } \ - if (_FP_FRAC_ZEROP_##dwc(RD)) \ - { \ - if (T##_s == Z##_s) \ - R##_s = Z##_s; \ - else \ - R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ - _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ - R##_c = FP_CLS_ZERO; \ - } \ - else \ - { \ - int rlz; \ - _FP_FRAC_CLZ_##dwc(rlz, RD); \ - rlz -= _FP_WFRACXBITS_DW_##fs; \ - R##_e -= rlz; \ - int shift = _FP_WFRACBITS_##fs - rlz; \ - if (shift > 0) \ - _FP_FRAC_SRS_##dwc(RD, shift, \ - _FP_WFRACBITS_DW_##fs); \ - else if (shift < 0) \ - _FP_FRAC_SLL_##dwc(RD, -shift); \ - _FP_FRAC_COPY_##wc##_##dwc(R, RD); \ - R##_c = FP_CLS_NORMAL; \ - } \ - break; \ - } \ - goto done_fma; \ + 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): \ + R##_s = X##_s; \ \ - case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ - _FP_CHOOSENAN(fs, wc, T, X, Y, '*'); \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_c = X##_c; \ + break; \ \ - 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): \ - T##_s = X##_s; \ + 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): \ + R##_s = Y##_s; \ \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ - _FP_FRAC_COPY_##wc(T, X); \ - T##_c = X##_c; \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc(R, Y); \ + R##_c = Y##_c; \ + break; \ \ - 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): \ - T##_s = Y##_s; \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + break; \ \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ - _FP_FRAC_COPY_##wc(T, Y); \ - T##_c = Y##_c; \ - break; \ + default: \ + abort(); \ + } \ + } \ + while (0) + + +/* Fused multiply-add. The input values should be cooked. */ + +#define _FP_FMA(fs, wc, dwc, R, X, Y, Z) \ + do \ + { \ + FP_DECL_##fs(T); \ + T##_s = X##_s ^ Y##_s; \ + T##_e = X##_e + Y##_e + 1; \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + switch (Z##_c) \ + { \ + case FP_CLS_INF: \ + case FP_CLS_NAN: \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc(R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + case FP_CLS_ZERO: \ + R##_c = FP_CLS_NORMAL; \ + R##_s = T##_s; \ + R##_e = T##_e; \ + \ + _FP_MUL_MEAT_##fs(R, X, Y); \ + \ + if (_FP_FRAC_OVERP_##wc(fs, R)) \ + _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ + else \ + R##_e--; \ + break; \ + \ + case FP_CLS_NORMAL:; \ + _FP_FRAC_DECL_##dwc(TD); \ + _FP_FRAC_DECL_##dwc(ZD); \ + _FP_FRAC_DECL_##dwc(RD); \ + _FP_MUL_MEAT_DW_##fs(TD, X, Y); \ + R##_e = T##_e; \ + int tsh = _FP_FRAC_HIGHBIT_DW_##dwc(fs, TD) == 0; \ + T##_e -= tsh; \ + int ediff = T##_e - Z##_e; \ + if (ediff >= 0) \ + { \ + int shift = _FP_WFRACBITS_##fs - tsh - ediff; \ + if (shift <= -_FP_WFRACBITS_##fs) \ + _FP_FRAC_SET_##dwc(ZD, _FP_MINFRAC_##dwc); \ + else \ + { \ + _FP_FRAC_COPY_##dwc##_##wc(ZD, Z); \ + if (shift < 0) \ + _FP_FRAC_SRS_##dwc(ZD, -shift, \ + _FP_WFRACBITS_DW_##fs); \ + else if (shift > 0) \ + _FP_FRAC_SLL_##dwc(ZD, shift); \ + } \ + R##_s = T##_s; \ + if (T##_s == Z##_s) \ + _FP_FRAC_ADD_##dwc(RD, TD, ZD); \ + else \ + { \ + _FP_FRAC_SUB_##dwc(RD, TD, ZD); \ + if (_FP_FRAC_NEGP_##dwc(RD)) \ + { \ + R##_s = Z##_s; \ + _FP_FRAC_SUB_##dwc(RD, ZD, TD); \ + } \ + } \ + } \ + else \ + { \ + R##_e = Z##_e; \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##dwc##_##wc(ZD, Z); \ + _FP_FRAC_SLL_##dwc(ZD, _FP_WFRACBITS_##fs); \ + int shift = -ediff - tsh; \ + if (shift >= _FP_WFRACBITS_DW_##fs) \ + _FP_FRAC_SET_##dwc(TD, _FP_MINFRAC_##dwc); \ + else if (shift > 0) \ + _FP_FRAC_SRS_##dwc(TD, shift, \ + _FP_WFRACBITS_DW_##fs); \ + if (Z##_s == T##_s) \ + _FP_FRAC_ADD_##dwc(RD, ZD, TD); \ + else \ + _FP_FRAC_SUB_##dwc(RD, ZD, TD); \ + } \ + if (_FP_FRAC_ZEROP_##dwc(RD)) \ + { \ + if (T##_s == Z##_s) \ + R##_s = Z##_s; \ + else \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ + R##_c = FP_CLS_ZERO; \ + } \ + else \ + { \ + int rlz; \ + _FP_FRAC_CLZ_##dwc(rlz, RD); \ + rlz -= _FP_WFRACXBITS_DW_##fs; \ + R##_e -= rlz; \ + int shift = _FP_WFRACBITS_##fs - rlz; \ + if (shift > 0) \ + _FP_FRAC_SRS_##dwc(RD, shift, \ + _FP_WFRACBITS_DW_##fs); \ + else if (shift < 0) \ + _FP_FRAC_SLL_##dwc(RD, -shift); \ + _FP_FRAC_COPY_##wc##_##dwc(R, RD); \ + R##_c = FP_CLS_NORMAL; \ + } \ + break; \ + } \ + goto done_fma; \ + \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ + _FP_CHOOSENAN(fs, wc, T, X, Y, '*'); \ + break; \ + \ + 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): \ + T##_s = X##_s; \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc(T, X); \ + T##_c = X##_c; \ + break; \ + \ + 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): \ + T##_s = Y##_s; \ + \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc(T, Y); \ + T##_c = Y##_c; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ + T##_s = _FP_NANSIGN_##fs; \ + T##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc(T, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + break; \ + \ + default: \ + abort(); \ + } \ + \ + /* T = X * Y is zero, infinity or NaN. */ \ + switch (_FP_CLS_COMBINE(T##_c, Z##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ + _FP_CHOOSENAN(fs, wc, R, T, Z, '+'); \ + break; \ + \ + 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): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ + R##_s = T##_s; \ + _FP_FRAC_COPY_##wc(R, T); \ + R##_c = T##_c; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc(R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ + if (T##_s == Z##_s) \ + { \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc(R, Z); \ + R##_c = Z##_c; \ + } \ + else \ + { \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + } \ + break; \ + \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ + if (T##_s == Z##_s) \ + R##_s = Z##_s; \ + else \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + _FP_FRAC_COPY_##wc(R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + default: \ + abort(); \ + } \ + done_fma: ; \ + } \ + while (0) + + +/* + * Main division routine. The input values should be cooked. + */ + +#define _FP_DIV(fs, wc, R, X, Y) \ + do \ + { \ + R##_s = X##_s ^ Y##_s; \ + R##_e = X##_e - Y##_e; \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ - T##_s = _FP_NANSIGN_##fs; \ - T##_c = FP_CLS_NAN; \ - _FP_FRAC_SET_##wc(T, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - break; \ + _FP_DIV_MEAT_##fs(R,X,Y); \ + break; \ \ - default: \ - abort(); \ - } \ + case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ + _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \ + break; \ \ - /* T = X * Y is zero, infinity or NaN. */ \ - switch (_FP_CLS_COMBINE(T##_c, Z##_c)) \ - { \ - case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ - _FP_CHOOSENAN(fs, wc, R, T, Z, '+'); \ - break; \ + 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): \ + R##_s = X##_s; \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_c = X##_c; \ + break; \ \ - 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): \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ - R##_s = T##_s; \ - _FP_FRAC_COPY_##wc(R, T); \ - R##_c = T##_c; \ - break; \ + 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): \ + R##_s = Y##_s; \ + _FP_FRAC_COPY_##wc(R, Y); \ + R##_c = Y##_c; \ + break; \ \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ - R##_s = Z##_s; \ - _FP_FRAC_COPY_##wc(R, Z); \ - R##_c = Z##_c; \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ + R##_c = FP_CLS_ZERO; \ + break; \ \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ - if (T##_s == Z##_s) \ - { \ - R##_s = Z##_s; \ - _FP_FRAC_COPY_##wc(R, Z); \ - R##_c = Z##_c; \ - } \ - else \ - { \ - R##_s = _FP_NANSIGN_##fs; \ - R##_c = FP_CLS_NAN; \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - } \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ + FP_SET_EXCEPTION(FP_EX_DIVZERO); \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ + R##_c = FP_CLS_INF; \ + break; \ \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ - if (T##_s == Z##_s) \ - R##_s = Z##_s; \ - else \ - R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ - _FP_FRAC_COPY_##wc(R, Z); \ - R##_c = Z##_c; \ - break; \ + case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ + case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + break; \ \ - default: \ - abort(); \ - } \ - done_fma: ; \ -} while (0) - - -/* - * Main division routine. The input values should be cooked. - */ - -#define _FP_DIV(fs, wc, R, X, Y) \ -do { \ - R##_s = X##_s ^ Y##_s; \ - R##_e = X##_e - Y##_e; \ - switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ - { \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ - R##_c = FP_CLS_NORMAL; \ - \ - _FP_DIV_MEAT_##fs(R,X,Y); \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ - _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \ - break; \ - \ - 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): \ - R##_s = X##_s; \ - _FP_FRAC_COPY_##wc(R, X); \ - R##_c = X##_c; \ - break; \ - \ - 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): \ - R##_s = Y##_s; \ - _FP_FRAC_COPY_##wc(R, Y); \ - R##_c = Y##_c; \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ - R##_c = FP_CLS_ZERO; \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ - FP_SET_EXCEPTION(FP_EX_DIVZERO); \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ - R##_c = FP_CLS_INF; \ - break; \ - \ - case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ - case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ - R##_s = _FP_NANSIGN_##fs; \ - R##_c = FP_CLS_NAN; \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - break; \ - \ - default: \ - abort(); \ - } \ -} while (0) + default: \ + abort(); \ + } \ + } \ + while (0) /* @@ -1125,122 +1156,131 @@ do { \ */ #define _FP_CMP(fs, wc, ret, X, Y, un) \ - 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 = un; \ - } \ - else \ - { \ - int __is_zero_x; \ - int __is_zero_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 = un; \ + } \ + else \ + { \ + int __is_zero_x; \ + int __is_zero_y; \ \ - __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \ - __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \ + __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \ + __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \ \ - if (__is_zero_x && __is_zero_y) \ - ret = 0; \ - else if (__is_zero_x) \ - ret = Y##_s ? 1 : -1; \ - else if (__is_zero_y) \ - ret = X##_s ? -1 : 1; \ - else if (X##_s != Y##_s) \ - ret = X##_s ? -1 : 1; \ - else if (X##_e > Y##_e) \ - ret = X##_s ? -1 : 1; \ - else if (X##_e < Y##_e) \ - ret = X##_s ? 1 : -1; \ - else if (_FP_FRAC_GT_##wc(X, Y)) \ - ret = X##_s ? -1 : 1; \ - else if (_FP_FRAC_GT_##wc(Y, X)) \ - ret = X##_s ? 1 : -1; \ - else \ - ret = 0; \ - } \ - } while (0) + if (__is_zero_x && __is_zero_y) \ + ret = 0; \ + else if (__is_zero_x) \ + ret = Y##_s ? 1 : -1; \ + else if (__is_zero_y) \ + ret = X##_s ? -1 : 1; \ + else if (X##_s != Y##_s) \ + ret = X##_s ? -1 : 1; \ + else if (X##_e > Y##_e) \ + ret = X##_s ? -1 : 1; \ + else if (X##_e < Y##_e) \ + ret = X##_s ? 1 : -1; \ + else if (_FP_FRAC_GT_##wc(X, Y)) \ + ret = X##_s ? -1 : 1; \ + else if (_FP_FRAC_GT_##wc(Y, X)) \ + ret = X##_s ? 1 : -1; \ + else \ + ret = 0; \ + } \ + } \ + while (0) /* 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) +#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))); \ - } while (0) + do \ + { \ + ret = ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ + || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))); \ + } \ + while (0) /* * Main square root routine. The input value should be cooked. */ -#define _FP_SQRT(fs, wc, R, X) \ -do { \ - _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \ - _FP_W_TYPE q; \ - switch (X##_c) \ - { \ - case FP_CLS_NAN: \ - _FP_FRAC_COPY_##wc(R, X); \ - R##_s = X##_s; \ - R##_c = FP_CLS_NAN; \ - break; \ - case FP_CLS_INF: \ - if (X##_s) \ - { \ - R##_s = _FP_NANSIGN_##fs; \ - R##_c = FP_CLS_NAN; /* NAN */ \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - } \ - else \ - { \ - R##_s = 0; \ - R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ - } \ - break; \ - case FP_CLS_ZERO: \ - R##_s = X##_s; \ - R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ - break; \ - case FP_CLS_NORMAL: \ - R##_s = 0; \ - if (X##_s) \ - { \ - R##_c = FP_CLS_NAN; /* NAN */ \ - R##_s = _FP_NANSIGN_##fs; \ - _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - break; \ - } \ - R##_c = FP_CLS_NORMAL; \ - if (X##_e & 1) \ - _FP_FRAC_SLL_##wc(X, 1); \ - R##_e = X##_e >> 1; \ - _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \ - _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ - q = _FP_OVERFLOW_##fs >> 1; \ - _FP_SQRT_MEAT_##wc(R, S, T, X, q); \ - } \ - } while (0) +#define _FP_SQRT(fs, wc, R, X) \ + do \ + { \ + _FP_FRAC_DECL_##wc(T); \ + _FP_FRAC_DECL_##wc(S); \ + _FP_W_TYPE q; \ + switch (X##_c) \ + { \ + case FP_CLS_NAN: \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_s = X##_s; \ + R##_c = FP_CLS_NAN; \ + break; \ + case FP_CLS_INF: \ + if (X##_s) \ + { \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; /* NAN */ \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + } \ + else \ + { \ + R##_s = 0; \ + R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ + } \ + break; \ + case FP_CLS_ZERO: \ + R##_s = X##_s; \ + R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ + break; \ + case FP_CLS_NORMAL: \ + R##_s = 0; \ + if (X##_s) \ + { \ + R##_c = FP_CLS_NAN; /* NAN */ \ + R##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + break; \ + } \ + R##_c = FP_CLS_NORMAL; \ + if (X##_e & 1) \ + _FP_FRAC_SLL_##wc(X, 1); \ + R##_e = X##_e >> 1; \ + _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \ + _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ + q = _FP_OVERFLOW_##fs >> 1; \ + _FP_SQRT_MEAT_##wc(R, S, T, X, q); \ + } \ + } \ + while (0) /* * Convert from FP to integer. Input is raw. @@ -1258,292 +1298,303 @@ do { \ * depending on the sign in such case. */ #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ -do { \ - if (X##_e < _FP_EXPBIAS_##fs) \ + do \ { \ - r = 0; \ - if (X##_e == 0) \ + if (X##_e < _FP_EXPBIAS_##fs) \ { \ - if (!_FP_FRAC_ZEROP_##wc(X)) \ + r = 0; \ + if (X##_e == 0) \ { \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ + 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 \ - 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) \ + else if (X##_e >= _FP_EXPBIAS_##fs + rsize - (rsigned > 0 || X##_s) \ + || (!rsigned && X##_s)) \ { \ - r = 1; \ - r <<= rsize - 1; \ - r -= 1 - X##_s; \ - } else { \ - r = 0; \ - if (!X##_s) \ - r = ~r; \ - } \ + /* 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)) \ + 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 if (inexact) \ - FP_SET_EXCEPTION(FP_EX_INEXACT); \ } \ else \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ + { \ + _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; \ + } \ } \ - else \ + 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 \ { \ - _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ - if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \ + if (r) \ { \ - _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ - r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \ + 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); \ + if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \ + _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 \ { \ - 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); \ + X##_s = 0; \ + X##_e = 0; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ } \ - 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); \ - if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \ - _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); \ - } \ - } while (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 \ - && _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \ - 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 if (_FP_EXPBIAS_##dfs \ - < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \ - - _FP_FRACBITS_##sfs)); \ - 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_SNANP(sfs, S)) \ - FP_SET_EXCEPTION(FP_EX_INVALID); \ - _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \ - - _FP_FRACBITS_##sfs)); \ - } \ - } \ - } \ -} while (0) +#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 \ + && _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \ + 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 if (_FP_EXPBIAS_##dfs \ + < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \ + { \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \ + - _FP_FRACBITS_##sfs)); \ + 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_SNANP(sfs, S)) \ + 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 \ - && _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \ - 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); \ - _FP_FRAC_LOW_##swc(S) |= 1; \ - } \ - 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; \ - if (_FP_FRAC_ZEROP_##swc(S)) \ - _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ - else \ - { \ - FP_SET_EXCEPTION(FP_EX_DENORM); \ - if (_FP_EXPBIAS_##sfs \ - < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \ - { \ - _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \ - - _FP_WFRACBITS_##dfs), \ - _FP_WFRACBITS_##sfs); \ - _FP_FRAC_COPY_##dwc##_##swc(D, S); \ - } \ - else \ - { \ - _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ - _FP_FRAC_LOW_##dwc(D) |= 1; \ - } \ - } \ - } \ - 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_SETQNAN_SEMIRAW(dfs, dwc, D); \ - } \ - } \ - } \ -} while (0) +#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 \ + && _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \ + 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); \ + _FP_FRAC_LOW_##swc(S) |= 1; \ + } \ + 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; \ + if (_FP_FRAC_ZEROP_##swc(S)) \ + _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ + else \ + { \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + if (_FP_EXPBIAS_##sfs \ + < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \ + { \ + _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \ + - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + _FP_FRAC_COPY_##dwc##_##swc(D, S); \ + } \ + else \ + { \ + _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \ + _FP_FRAC_LOW_##dwc(D) |= 1; \ + } \ + } \ + } \ + 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_SETQNAN_SEMIRAW(dfs, dwc, D); \ + } \ + } \ + } \ + } \ + while (0) /* * Helper primitives. @@ -1553,64 +1604,72 @@ do { \ #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 (); \ - } while (0) +# 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 (); \ + } \ + while (0) #endif /* ndef __FP_CLZ */ #define _FP_DIV_HELP_imm(q, r, n, d) \ - do { \ - q = n / d, r = n % d; \ - } while (0) + do \ + { \ + q = n / d, r = n % d; \ + } \ + while (0) /* A restoring bit-by-bit division primitive. */ #define _FP_DIV_MEAT_N_loop(fs, wc, R, X, Y) \ - do { \ - int count = _FP_WFRACBITS_##fs; \ - _FP_FRAC_DECL_##wc (u); \ - _FP_FRAC_DECL_##wc (v); \ - _FP_FRAC_COPY_##wc (u, X); \ - _FP_FRAC_COPY_##wc (v, Y); \ - _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \ - /* Normalize U and V. */ \ - _FP_FRAC_SLL_##wc (u, _FP_WFRACXBITS_##fs); \ - _FP_FRAC_SLL_##wc (v, _FP_WFRACXBITS_##fs); \ - /* First round. Since the operands are normalized, either the \ - first or second bit will be set in the fraction. Produce a \ - normalized result by checking which and adjusting the loop \ - count and exponent accordingly. */ \ - if (_FP_FRAC_GE_1 (u, v)) \ - { \ - _FP_FRAC_SUB_##wc (u, u, v); \ - _FP_FRAC_LOW_##wc (R) |= 1; \ - count--; \ - } \ - else \ - R##_e--; \ - /* Subsequent rounds. */ \ - do { \ - int msb = (_FP_WS_TYPE) _FP_FRAC_HIGH_##wc (u) < 0; \ - _FP_FRAC_SLL_##wc (u, 1); \ - _FP_FRAC_SLL_##wc (R, 1); \ - if (msb || _FP_FRAC_GE_1 (u, v)) \ + do \ + { \ + int count = _FP_WFRACBITS_##fs; \ + _FP_FRAC_DECL_##wc (u); \ + _FP_FRAC_DECL_##wc (v); \ + _FP_FRAC_COPY_##wc (u, X); \ + _FP_FRAC_COPY_##wc (v, Y); \ + _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \ + /* Normalize U and V. */ \ + _FP_FRAC_SLL_##wc (u, _FP_WFRACXBITS_##fs); \ + _FP_FRAC_SLL_##wc (v, _FP_WFRACXBITS_##fs); \ + /* First round. Since the operands are normalized, either the \ + first or second bit will be set in the fraction. Produce a \ + normalized result by checking which and adjusting the loop \ + count and exponent accordingly. */ \ + if (_FP_FRAC_GE_1 (u, v)) \ { \ _FP_FRAC_SUB_##wc (u, u, v); \ _FP_FRAC_LOW_##wc (R) |= 1; \ + count--; \ } \ - } while (--count > 0); \ - /* If there's anything left in U, the result is inexact. */ \ - _FP_FRAC_LOW_##wc (R) |= !_FP_FRAC_ZEROP_##wc (u); \ - } while (0) + else \ + R##_e--; \ + /* Subsequent rounds. */ \ + do \ + { \ + int msb = (_FP_WS_TYPE) _FP_FRAC_HIGH_##wc (u) < 0; \ + _FP_FRAC_SLL_##wc (u, 1); \ + _FP_FRAC_SLL_##wc (R, 1); \ + if (msb || _FP_FRAC_GE_1 (u, v)) \ + { \ + _FP_FRAC_SUB_##wc (u, u, v); \ + _FP_FRAC_LOW_##wc (R) |= 1; \ + } \ + } \ + while (--count > 0); \ + /* If there's anything left in U, the result is inexact. */ \ + _FP_FRAC_LOW_##wc (R) |= !_FP_FRAC_ZEROP_##wc (u); \ + } \ + while (0) #define _FP_DIV_MEAT_1_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 1, R, X, Y) #define _FP_DIV_MEAT_2_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 2, R, X, Y) |