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Diffstat (limited to 'include/math-emu/op-common.h')
| -rw-r--r-- | include/math-emu/op-common.h | 885 |
1 files changed, 885 insertions, 0 deletions
diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h new file mode 100644 index 000000000..8ce066c03 --- /dev/null +++ b/include/math-emu/op-common.h @@ -0,0 +1,885 @@ +/* Software floating-point emulation. Common operations. + 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), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Library General Public License as + published by the Free Software Foundation; either version 2 of the + License, or (at your option) any later version. + + 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 + Library General Public License for more details. + + You should have received a copy of the GNU Library General Public + License along with the GNU C Library; see the file COPYING.LIB. If + not, write to the Free Software Foundation, Inc., + 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ + +#ifndef __MATH_EMU_OP_COMMON_H__ +#define __MATH_EMU_OP_COMMON_H__ + +#define _FP_DECL(wc, X) \ + _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0; \ + _FP_FRAC_DECL_##wc(X) + +/* + * Finish truly unpacking a native fp value by classifying the kind + * 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); \ + if (FP_DENORM_ZERO) \ + { \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + X##_c = FP_CLS_ZERO; \ + } \ + } \ + 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_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ + FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_SNAN); \ + } \ + break; \ + } \ +} 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 + * kinds of fp values, the original parts may not have been fully + * 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); \ + if (_FP_FRAC_HIGH_##fs(X) \ + & (_FP_OVERFLOW_##fs >> 1)) \ + { \ + X##_e = 1; \ + _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ + } \ + else \ + { \ + _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_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ + 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_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ + __ret = 1; \ + } \ + __ret; \ +}) + + + + + +/* + * 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; \ + fallthrough; \ + 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; \ + fallthrough; \ + 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 | FP_EX_INVALID_ISI); \ + break; \ + } \ + fallthrough; \ + \ + 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##_c != FP_CLS_NAN) Y##_s ^= 1; \ + _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ + } while (0) + + +/* + * Main negation routine. FIXME -- when we care about setting exception + * bits reliably, this will not do. We should examine all of the fp classes. + */ + +#define _FP_NEG(fs, wc, R, X) \ + do { \ + _FP_FRAC_COPY_##wc(R, X); \ + R##_c = X##_c; \ + 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; \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ + R##_e = X##_e + Y##_e + 1; \ + \ + _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; \ + fallthrough; \ + \ + 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; \ + fallthrough; \ + \ + 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 | FP_EX_INVALID_IMZ);\ + break; \ + \ + default: \ + abort(); \ + } \ +} 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; \ + switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ + R##_e = X##_e - Y##_e; \ + \ + _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); \ + fallthrough; \ + 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): \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_IDI);\ + break; \ + \ + 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 | FP_EX_INVALID_ZDZ);\ + break; \ + \ + default: \ + abort(); \ + } \ +} while (0) + + +/* + * Main differential comparison routine. The inputs should be raw not + * cooked. The return is -1,0,1 for normal values, 2 otherwise. + */ + +#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; \ + \ + __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) + + +/* 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) + +/* + * 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; /* sNAN */ \ + 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 + */ + +/* 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. + * 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is + * set plus the result is truncated to fit into destination. + * -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. + */ +#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); \ + fallthrough; \ + case FP_CLS_ZERO: \ + r = 0; \ + } \ + else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ + || (!rsigned && X##_s)) \ + { /* overflow */ \ + fallthrough; \ + case FP_CLS_NAN: \ + case FP_CLS_INF: \ + if (rsigned == 2) \ + { \ + if (X##_c != FP_CLS_NORMAL \ + || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs) \ + r = 0; \ + else \ + { \ + _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + } \ + } \ + else 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_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned) \ + do { \ + r = 0; \ + switch (X##_c) \ + { \ + case FP_CLS_NORMAL: \ + if (X##_e >= _FP_FRACBITS_##fs - 1) \ + { \ + if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs) \ + { \ + if (X##_e >= _FP_WFRACBITS_##fs - 1) \ + { \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + r <<= X##_e - _FP_WFRACBITS_##fs + 1; \ + } \ + else \ + { \ + _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e \ + + _FP_FRACBITS_##fs - 1); \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + } \ + } \ + } \ + else \ + { \ + int _lz0, _lz1; \ + if (X##_e <= -_FP_WORKBITS - 1) \ + _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ + else \ + _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e, \ + _FP_WFRACBITS_##fs); \ + _FP_FRAC_CLZ_##wc(_lz0, X); \ + _FP_ROUND(wc, X); \ + _FP_FRAC_CLZ_##wc(_lz1, X); \ + if (_lz1 < _lz0) \ + X##_e++; /* For overflow detection. */ \ + _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ + _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ + } \ + if (rsigned && X##_s) \ + r = -r; \ + if (X##_e >= rsize - (rsigned > 0 || X##_s) \ + || (!rsigned && X##_s)) \ + { /* overflow */ \ + fallthrough; \ + case FP_CLS_NAN: \ + case FP_CLS_INF: \ + if (!rsigned) \ + { \ + r = 0; \ + if (!X##_s) \ + r = ~r; \ + } \ + else if (rsigned != 2) \ + { \ + r = 1; \ + r <<= rsize - 1; \ + r -= 1 - X##_s; \ + } \ + FP_SET_EXCEPTION(FP_EX_INVALID); \ + } \ + break; \ + case FP_CLS_ZERO: \ + 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))) \ + ur_ = (unsigned rtype) -r; \ + else \ + ur_ = (unsigned rtype) r; \ + (void) (((rsize) <= _FP_W_TYPE_SIZE) \ + ? ({ __FP_CLZ(X##_e, ur_); }) \ + : ({ \ + __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) + + +#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. + */ + +/* Count leading zeros in a word. */ + +#ifndef __FP_CLZ +#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) \ + do { \ + q = n / d, r = n % d; \ + } while (0) + +#endif /* __MATH_EMU_OP_COMMON_H__ */ |