| /* 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; \ |
| case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ |
| case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ |
| case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ |
| _FP_FRAC_COPY_##wc(R, X); \ |
| R##_s = X##_s; \ |
| R##_c = X##_c; \ |
| break; \ |
| \ |
| case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ |
| R##_e = Y##_e; \ |
| case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ |
| case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ |
| case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ |
| _FP_FRAC_COPY_##wc(R, Y); \ |
| R##_s = Y##_s; \ |
| R##_c = Y##_c; \ |
| break; \ |
| \ |
| case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ |
| if (X##_s != Y##_s) \ |
| { \ |
| /* +INF + -INF => NAN */ \ |
| _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ |
| R##_s = _FP_NANSIGN_##fs; \ |
| R##_c = FP_CLS_NAN; \ |
| FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_ISI); \ |
| break; \ |
| } \ |
| /* FALLTHRU */ \ |
| \ |
| case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ |
| case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ |
| R##_s = X##_s; \ |
| R##_c = FP_CLS_INF; \ |
| break; \ |
| \ |
| case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ |
| case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ |
| R##_s = Y##_s; \ |
| R##_c = FP_CLS_INF; \ |
| break; \ |
| \ |
| case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ |
| /* make sure the sign is correct */ \ |
| if (FP_ROUNDMODE == FP_RND_MINF) \ |
| R##_s = X##_s | Y##_s; \ |
| else \ |
| R##_s = X##_s & Y##_s; \ |
| R##_c = FP_CLS_ZERO; \ |
| break; \ |
| \ |
| default: \ |
| abort(); \ |
| } \ |
| } while (0) |
| |
| #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+') |
| #define _FP_SUB(fs, wc, R, X, Y) \ |
| do { \ |
| if (Y##_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; \ |
| \ |
| 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 | 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); \ |
| 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); \ |
| case FP_CLS_ZERO: \ |
| r = 0; \ |
| } \ |
| else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ |
| || (!rsigned && X##_s)) \ |
| { /* overflow */ \ |
| case FP_CLS_NAN: \ |
| case FP_CLS_INF: \ |
| if (rsigned == 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 */ \ |
| 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__ */ |
