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Diffstat (limited to 'include/math-emu/extended.h')
| -rw-r--r-- | include/math-emu/extended.h | 396 |
1 files changed, 396 insertions, 0 deletions
diff --git a/include/math-emu/extended.h b/include/math-emu/extended.h new file mode 100644 index 00000000000..84770fceb53 --- /dev/null +++ b/include/math-emu/extended.h @@ -0,0 +1,396 @@ +/* Software floating-point emulation. + Definitions for IEEE Extended Precision. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek (jj@ultra.linux.cz). + + 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_EXTENDED_H__ +#define __MATH_EMU_EXTENDED_H__ + +#if _FP_W_TYPE_SIZE < 32 +#error "Here's a nickel, kid. Go buy yourself a real computer." +#endif + +#if _FP_W_TYPE_SIZE < 64 +#define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE) +#else +#define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE) +#endif + +#define _FP_FRACBITS_E 64 +#define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E) +#define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E) +#define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E) +#define _FP_EXPBITS_E 15 +#define _FP_EXPBIAS_E 16383 +#define _FP_EXPMAX_E 32767 + +#define _FP_QNANBIT_E \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_E \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_E \ + ((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE)) + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_E +{ + long double flt; + struct + { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned long pad1 : _FP_W_TYPE_SIZE; + unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); + unsigned long sign : 1; + unsigned long exp : _FP_EXPBITS_E; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned long frac0 : _FP_W_TYPE_SIZE; +#else + unsigned long frac0 : _FP_W_TYPE_SIZE; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_E; + unsigned sign : 1; +#endif /* not bigendian */ + } bits __attribute__((packed)); +}; + + +#define FP_DECL_E(X) _FP_DECL(4,X) + +#define FP_UNPACK_RAW_E(X, val) \ + do { \ + union _FP_UNION_E _flo; _flo.flt = (val); \ + \ + X##_f[2] = 0; X##_f[3] = 0; \ + X##_f[0] = _flo.bits.frac0; \ + X##_f[1] = _flo.bits.frac1; \ + X##_e = _flo.bits.exp; \ + X##_s = _flo.bits.sign; \ + if (!X##_e && (X##_f[1] || X##_f[0]) \ + && !(X##_f[1] & _FP_IMPLBIT_E)) \ + { \ + X##_e++; \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + } \ + } while (0) + +#define FP_UNPACK_RAW_EP(X, val) \ + do { \ + union _FP_UNION_E *_flo = \ + (union _FP_UNION_E *)(val); \ + \ + X##_f[2] = 0; X##_f[3] = 0; \ + X##_f[0] = _flo->bits.frac0; \ + X##_f[1] = _flo->bits.frac1; \ + X##_e = _flo->bits.exp; \ + X##_s = _flo->bits.sign; \ + if (!X##_e && (X##_f[1] || X##_f[0]) \ + && !(X##_f[1] & _FP_IMPLBIT_E)) \ + { \ + X##_e++; \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + } \ + } while (0) + +#define FP_PACK_RAW_E(val, X) \ + do { \ + union _FP_UNION_E _flo; \ + \ + if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ + else X##_f[1] &= ~(_FP_IMPLBIT_E); \ + _flo.bits.frac0 = X##_f[0]; \ + _flo.bits.frac1 = X##_f[1]; \ + _flo.bits.exp = X##_e; \ + _flo.bits.sign = X##_s; \ + \ + (val) = _flo.flt; \ + } while (0) + +#define FP_PACK_RAW_EP(val, X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + { \ + union _FP_UNION_E *_flo = \ + (union _FP_UNION_E *)(val); \ + \ + if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ + else X##_f[1] &= ~(_FP_IMPLBIT_E); \ + _flo->bits.frac0 = X##_f[0]; \ + _flo->bits.frac1 = X##_f[1]; \ + _flo->bits.exp = X##_e; \ + _flo->bits.sign = X##_s; \ + } \ + } while (0) + +#define FP_UNPACK_E(X,val) \ + do { \ + FP_UNPACK_RAW_E(X,val); \ + _FP_UNPACK_CANONICAL(E,4,X); \ + } while (0) + +#define FP_UNPACK_EP(X,val) \ + do { \ + FP_UNPACK_RAW_2_P(X,val); \ + _FP_UNPACK_CANONICAL(E,4,X); \ + } while (0) + +#define FP_PACK_E(val,X) \ + do { \ + _FP_PACK_CANONICAL(E,4,X); \ + FP_PACK_RAW_E(val,X); \ + } while (0) + +#define FP_PACK_EP(val,X) \ + do { \ + _FP_PACK_CANONICAL(E,4,X); \ + FP_PACK_RAW_EP(val,X); \ + } while (0) + +#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X) +#define FP_NEG_E(R,X) _FP_NEG(E,4,R,X) +#define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y) +#define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y) +#define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y) +#define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y) +#define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X) + +/* + * Square root algorithms: + * We have just one right now, maybe Newton approximation + * should be added for those machines where division is fast. + * This has special _E version because standard _4 square + * root would not work (it has to start normally with the + * second word and not the first), but as we have to do it + * anyway, we optimize it by doing most of the calculations + * in two UWtype registers instead of four. + */ + +#define _FP_SQRT_MEAT_E(R, S, T, X, q) \ + do { \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \ + while (q) \ + { \ + T##_f[1] = S##_f[1] + q; \ + if (T##_f[1] <= X##_f[1]) \ + { \ + S##_f[1] = T##_f[1] + q; \ + X##_f[1] -= T##_f[1]; \ + R##_f[1] += q; \ + } \ + _FP_FRAC_SLL_2(X, 1); \ + q >>= 1; \ + } \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[0] = S##_f[0] + q; \ + T##_f[1] = S##_f[1]; \ + if (T##_f[1] < X##_f[1] || \ + (T##_f[1] == X##_f[1] && \ + T##_f[0] <= X##_f[0])) \ + { \ + S##_f[0] = T##_f[0] + q; \ + S##_f[1] += (T##_f[0] > S##_f[0]); \ + _FP_FRAC_DEC_2(X, T); \ + R##_f[0] += q; \ + } \ + _FP_FRAC_SLL_2(X, 1); \ + q >>= 1; \ + } \ + _FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \ + if (X##_f[0] | X##_f[1]) \ + { \ + if (S##_f[1] < X##_f[1] || \ + (S##_f[1] == X##_f[1] && \ + S##_f[0] < X##_f[0])) \ + R##_f[0] |= _FP_WORK_ROUND; \ + R##_f[0] |= _FP_WORK_STICKY; \ + } \ + } while (0) + +#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un) +#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y) + +#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,4,r,X,rsz,rsg) +#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt) + +#define _FP_FRAC_HIGH_E(X) (X##_f[2]) +#define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1]) + +#else /* not _FP_W_TYPE_SIZE < 64 */ +union _FP_UNION_E +{ + long double flt /* __attribute__((mode(TF))) */ ; + struct { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned long pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_E; + unsigned long frac : _FP_W_TYPE_SIZE; +#else + unsigned long frac : _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_E; + unsigned sign : 1; +#endif + } bits; +}; + +#define FP_DECL_E(X) _FP_DECL(2,X) + +#define FP_UNPACK_RAW_E(X, val) \ + do { \ + union _FP_UNION_E _flo; _flo.flt = (val); \ + \ + X##_f0 = _flo.bits.frac; \ + X##_f1 = 0; \ + X##_e = _flo.bits.exp; \ + X##_s = _flo.bits.sign; \ + if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ + { \ + X##_e++; \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + } \ + } while (0) + +#define FP_UNPACK_RAW_EP(X, val) \ + do { \ + union _FP_UNION_E *_flo = \ + (union _FP_UNION_E *)(val); \ + \ + X##_f0 = _flo->bits.frac; \ + X##_f1 = 0; \ + X##_e = _flo->bits.exp; \ + X##_s = _flo->bits.sign; \ + if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ + { \ + X##_e++; \ + FP_SET_EXCEPTION(FP_EX_DENORM); \ + } \ + } while (0) + +#define FP_PACK_RAW_E(val, X) \ + do { \ + union _FP_UNION_E _flo; \ + \ + if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ + else X##_f0 &= ~(_FP_IMPLBIT_E); \ + _flo.bits.frac = X##_f0; \ + _flo.bits.exp = X##_e; \ + _flo.bits.sign = X##_s; \ + \ + (val) = _flo.flt; \ + } while (0) + +#define FP_PACK_RAW_EP(fs, val, X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + { \ + union _FP_UNION_E *_flo = \ + (union _FP_UNION_E *)(val); \ + \ + if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ + else X##_f0 &= ~(_FP_IMPLBIT_E); \ + _flo->bits.frac = X##_f0; \ + _flo->bits.exp = X##_e; \ + _flo->bits.sign = X##_s; \ + } \ + } while (0) + + +#define FP_UNPACK_E(X,val) \ + do { \ + FP_UNPACK_RAW_E(X,val); \ + _FP_UNPACK_CANONICAL(E,2,X); \ + } while (0) + +#define FP_UNPACK_EP(X,val) \ + do { \ + FP_UNPACK_RAW_EP(X,val); \ + _FP_UNPACK_CANONICAL(E,2,X); \ + } while (0) + +#define FP_PACK_E(val,X) \ + do { \ + _FP_PACK_CANONICAL(E,2,X); \ + FP_PACK_RAW_E(val,X); \ + } while (0) + +#define FP_PACK_EP(val,X) \ + do { \ + _FP_PACK_CANONICAL(E,2,X); \ + FP_PACK_RAW_EP(val,X); \ + } while (0) + +#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X) +#define FP_NEG_E(R,X) _FP_NEG(E,2,R,X) +#define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y) +#define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y) +#define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y) +#define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y) +#define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X) + +/* + * Square root algorithms: + * We have just one right now, maybe Newton approximation + * should be added for those machines where division is fast. + * We optimize it by doing most of the calculations + * in one UWtype registers instead of two, although we don't + * have to. + */ +#define _FP_SQRT_MEAT_E(R, S, T, X, q) \ + do { \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \ + while (q) \ + { \ + T##_f0 = S##_f0 + q; \ + if (T##_f0 <= X##_f0) \ + { \ + S##_f0 = T##_f0 + q; \ + X##_f0 -= T##_f0; \ + R##_f0 += q; \ + } \ + _FP_FRAC_SLL_1(X, 1); \ + q >>= 1; \ + } \ + _FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \ + if (X##_f0) \ + { \ + if (S##_f0 < X##_f0) \ + R##_f0 |= _FP_WORK_ROUND; \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } while (0) + +#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un) +#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y) + +#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,2,r,X,rsz,rsg) +#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt) + +#define _FP_FRAC_HIGH_E(X) (X##_f1) +#define _FP_FRAC_HIGH_RAW_E(X) (X##_f0) + +#endif /* not _FP_W_TYPE_SIZE < 64 */ + +#endif /* __MATH_EMU_EXTENDED_H__ */ |