diff options
Diffstat (limited to 'include/math-emu')
| -rw-r--r-- | include/math-emu/double.h | 205 | ||||
| -rw-r--r-- | include/math-emu/extended.h | 396 | ||||
| -rw-r--r-- | include/math-emu/op-1.h | 303 | ||||
| -rw-r--r-- | include/math-emu/op-2.h | 613 | ||||
| -rw-r--r-- | include/math-emu/op-4.h | 692 | ||||
| -rw-r--r-- | include/math-emu/op-8.h | 107 | ||||
| -rw-r--r-- | include/math-emu/op-common.h | 853 | ||||
| -rw-r--r-- | include/math-emu/quad.h | 208 | ||||
| -rw-r--r-- | include/math-emu/single.h | 116 | ||||
| -rw-r--r-- | include/math-emu/soft-fp.h | 181 |
10 files changed, 3674 insertions, 0 deletions
diff --git a/include/math-emu/double.h b/include/math-emu/double.h new file mode 100644 index 00000000000..655ccf1c473 --- /dev/null +++ b/include/math-emu/double.h @@ -0,0 +1,205 @@ +/* Software floating-point emulation. + Definitions for IEEE Double Precision + 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_DOUBLE_H__ +#define __MATH_EMU_DOUBLE_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_D (2 * _FP_W_TYPE_SIZE) +#else +#define _FP_FRACTBITS_D _FP_W_TYPE_SIZE +#endif + +#define _FP_FRACBITS_D 53 +#define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D) +#define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D) +#define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D) +#define _FP_EXPBITS_D 11 +#define _FP_EXPBIAS_D 1023 +#define _FP_EXPMAX_D 2047 + +#define _FP_QNANBIT_D \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_D \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_D \ + ((_FP_W_TYPE)1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE) + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_D +{ + double flt; + struct { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_D; + unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; + unsigned frac0 : _FP_W_TYPE_SIZE; +#else + unsigned frac0 : _FP_W_TYPE_SIZE; + unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_D; + unsigned sign : 1; +#endif + } bits __attribute__((packed)); +}; + +#define FP_DECL_D(X) _FP_DECL(2,X) +#define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_2(D,X,val) +#define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_2_P(D,X,val) +#define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_2(D,val,X) +#define FP_PACK_RAW_DP(val,X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P(D,val,X); \ + } while (0) + +#define FP_UNPACK_D(X,val) \ + do { \ + _FP_UNPACK_RAW_2(D,X,val); \ + _FP_UNPACK_CANONICAL(D,2,X); \ + } while (0) + +#define FP_UNPACK_DP(X,val) \ + do { \ + _FP_UNPACK_RAW_2_P(D,X,val); \ + _FP_UNPACK_CANONICAL(D,2,X); \ + } while (0) + +#define FP_PACK_D(val,X) \ + do { \ + _FP_PACK_CANONICAL(D,2,X); \ + _FP_PACK_RAW_2(D,val,X); \ + } while (0) + +#define FP_PACK_DP(val,X) \ + do { \ + _FP_PACK_CANONICAL(D,2,X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P(D,val,X); \ + } while (0) + +#define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,2,X) +#define FP_NEG_D(R,X) _FP_NEG(D,2,R,X) +#define FP_ADD_D(R,X,Y) _FP_ADD(D,2,R,X,Y) +#define FP_SUB_D(R,X,Y) _FP_SUB(D,2,R,X,Y) +#define FP_MUL_D(R,X,Y) _FP_MUL(D,2,R,X,Y) +#define FP_DIV_D(R,X,Y) _FP_DIV(D,2,R,X,Y) +#define FP_SQRT_D(R,X) _FP_SQRT(D,2,R,X) +#define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) + +#define FP_CMP_D(r,X,Y,un) _FP_CMP(D,2,r,X,Y,un) +#define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,2,r,X,Y) + +#define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,2,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,2,r,X,rsz,rsg) +#define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,2,X,r,rs,rt) + +#define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2(X) +#define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2(X) + +#else + +union _FP_UNION_D +{ + double flt; + struct { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_D; + unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); +#else + unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); + unsigned exp : _FP_EXPBITS_D; + unsigned sign : 1; +#endif + } bits __attribute__((packed)); +}; + +#define FP_DECL_D(X) _FP_DECL(1,X) +#define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_1(D,X,val) +#define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_1_P(D,X,val) +#define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_1(D,val,X) +#define FP_PACK_RAW_DP(val,X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P(D,val,X); \ + } while (0) + +#define FP_UNPACK_D(X,val) \ + do { \ + _FP_UNPACK_RAW_1(D,X,val); \ + _FP_UNPACK_CANONICAL(D,1,X); \ + } while (0) + +#define FP_UNPACK_DP(X,val) \ + do { \ + _FP_UNPACK_RAW_1_P(D,X,val); \ + _FP_UNPACK_CANONICAL(D,1,X); \ + } while (0) + +#define FP_PACK_D(val,X) \ + do { \ + _FP_PACK_CANONICAL(D,1,X); \ + _FP_PACK_RAW_1(D,val,X); \ + } while (0) + +#define FP_PACK_DP(val,X) \ + do { \ + _FP_PACK_CANONICAL(D,1,X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P(D,val,X); \ + } while (0) + +#define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,1,X) +#define FP_NEG_D(R,X) _FP_NEG(D,1,R,X) +#define FP_ADD_D(R,X,Y) _FP_ADD(D,1,R,X,Y) +#define FP_SUB_D(R,X,Y) _FP_SUB(D,1,R,X,Y) +#define FP_MUL_D(R,X,Y) _FP_MUL(D,1,R,X,Y) +#define FP_DIV_D(R,X,Y) _FP_DIV(D,1,R,X,Y) +#define FP_SQRT_D(R,X) _FP_SQRT(D,1,R,X) +#define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) + +/* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by + the target machine. */ + +#define FP_CMP_D(r,X,Y,un) _FP_CMP(D,1,r,X,Y,un) +#define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,1,r,X,Y) + +#define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,1,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,1,r,X,rsz,rsg) +#define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,1,X,r,rs,rt) + +#define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1(X) +#define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1(X) + +#endif /* W_TYPE_SIZE < 64 */ + + +#endif /* __MATH_EMU_DOUBLE_H__ */ 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__ */ diff --git a/include/math-emu/op-1.h b/include/math-emu/op-1.h new file mode 100644 index 00000000000..3be3bb422cb --- /dev/null +++ b/include/math-emu/op-1.h @@ -0,0 +1,303 @@ +/* Software floating-point emulation. + Basic one-word fraction declaration and manipulation. + 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_1_H__ +#define __MATH_EMU_OP_1_H__ + +#define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f=0 +#define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) +#define _FP_FRAC_SET_1(X,I) (X##_f = I) +#define _FP_FRAC_HIGH_1(X) (X##_f) +#define _FP_FRAC_LOW_1(X) (X##_f) +#define _FP_FRAC_WORD_1(X,w) (X##_f) + +#define _FP_FRAC_ADDI_1(X,I) (X##_f += I) +#define _FP_FRAC_SLL_1(X,N) \ + do { \ + if (__builtin_constant_p(N) && (N) == 1) \ + X##_f += X##_f; \ + else \ + X##_f <<= (N); \ + } while (0) +#define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) + +/* Right shift with sticky-lsb. */ +#define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) + +#define __FP_FRAC_SRS_1(X,N,sz) \ + (X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ + ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) + +#define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) +#define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) +#define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) +#define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) + +/* Predicates */ +#define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) +#define _FP_FRAC_ZEROP_1(X) (X##_f == 0) +#define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) +#define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) +#define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) +#define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) +#define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) + +#define _FP_ZEROFRAC_1 0 +#define _FP_MINFRAC_1 1 +#define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) + +/* + * Unpack the raw bits of a native fp value. Do not classify or + * normalize the data. + */ + +#define _FP_UNPACK_RAW_1(fs, X, val) \ + do { \ + union _FP_UNION_##fs _flo; _flo.flt = (val); \ + \ + X##_f = _flo.bits.frac; \ + X##_e = _flo.bits.exp; \ + X##_s = _flo.bits.sign; \ + } while (0) + +#define _FP_UNPACK_RAW_1_P(fs, X, val) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + X##_f = _flo->bits.frac; \ + X##_e = _flo->bits.exp; \ + X##_s = _flo->bits.sign; \ + } while (0) + +/* + * Repack the raw bits of a native fp value. + */ + +#define _FP_PACK_RAW_1(fs, val, X) \ + do { \ + union _FP_UNION_##fs _flo; \ + \ + _flo.bits.frac = X##_f; \ + _flo.bits.exp = X##_e; \ + _flo.bits.sign = X##_s; \ + \ + (val) = _flo.flt; \ + } while (0) + +#define _FP_PACK_RAW_1_P(fs, val, X) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + _flo->bits.frac = X##_f; \ + _flo->bits.exp = X##_e; \ + _flo->bits.sign = X##_s; \ + } while (0) + + +/* + * Multiplication algorithms: + */ + +/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the + multiplication immediately. */ + +#define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ + do { \ + R##_f = X##_f * Y##_f; \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \ + } while (0) + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ + do { \ + _FP_W_TYPE _Z_f0, _Z_f1; \ + doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \ + R##_f = _Z_f0; \ + } while (0) + +/* Finally, a simple widening multiply algorithm. What fun! */ + +#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ + do { \ + _FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ + \ + /* split the words in half */ \ + _xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ + _xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ + _yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ + _yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ + \ + /* multiply the pieces */ \ + _z_f0 = _xl * _yl; \ + _a_f0 = _xh * _yl; \ + _a_f1 = _xl * _yh; \ + _z_f1 = _xh * _yh; \ + \ + /* reassemble into two full words */ \ + if ((_a_f0 += _a_f1) < _a_f1) \ + _z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ + _a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ + _a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ + _FP_FRAC_ADD_2(_z, _z, _a); \ + \ + /* normalize */ \ + _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ + R##_f = _z_f0; \ + } while (0) + + +/* + * Division algorithms: + */ + +/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the + division immediately. Give this macro either _FP_DIV_HELP_imm for + C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you + choose will depend on what the compiler does with divrem4. */ + +#define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ + do { \ + _FP_W_TYPE _q, _r; \ + X##_f <<= (X##_f < Y##_f \ + ? R##_e--, _FP_WFRACBITS_##fs \ + : _FP_WFRACBITS_##fs - 1); \ + doit(_q, _r, X##_f, Y##_f); \ + R##_f = _q | (_r != 0); \ + } while (0) + +/* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd + that may be useful in this situation. This first is for a primitive + that requires normalization, the second for one that does not. Look + for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ + +#define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ + do { \ + _FP_W_TYPE _nh, _nl, _q, _r, _y; \ + \ + /* Normalize Y -- i.e. make the most significant bit set. */ \ + _y = Y##_f << _FP_WFRACXBITS_##fs; \ + \ + /* Shift X op correspondingly high, that is, up one full word. */ \ + if (X##_f < Y##_f) \ + { \ + R##_e--; \ + _nl = 0; \ + _nh = X##_f; \ + } \ + else \ + { \ + _nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ + _nh = X##_f >> 1; \ + } \ + \ + udiv_qrnnd(_q, _r, _nh, _nl, _y); \ + R##_f = _q | (_r != 0); \ + } while (0) + +#define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ + do { \ + _FP_W_TYPE _nh, _nl, _q, _r; \ + if (X##_f < Y##_f) \ + { \ + R##_e--; \ + _nl = X##_f << _FP_WFRACBITS_##fs; \ + _nh = X##_f >> _FP_WFRACXBITS_##fs; \ + } \ + else \ + { \ + _nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ + _nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ + } \ + udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ + R##_f = _q | (_r != 0); \ + } while (0) + + +/* + * Square root algorithms: + * We have just one right now, maybe Newton approximation + * should be added for those machines where division is fast. + */ + +#define _FP_SQRT_MEAT_1(R, S, T, X, q) \ + do { \ + while (q != _FP_WORK_ROUND) \ + { \ + T##_f = S##_f + q; \ + if (T##_f <= X##_f) \ + { \ + S##_f = T##_f + q; \ + X##_f -= T##_f; \ + R##_f += q; \ + } \ + _FP_FRAC_SLL_1(X, 1); \ + q >>= 1; \ + } \ + if (X##_f) \ + { \ + if (S##_f < X##_f) \ + R##_f |= _FP_WORK_ROUND; \ + R##_f |= _FP_WORK_STICKY; \ + } \ + } while (0) + +/* + * Assembly/disassembly for converting to/from integral types. + * No shifting or overflow handled here. + */ + +#define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) +#define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) + + +/* + * Convert FP values between word sizes + */ + +#define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ + do { \ + D##_f = S##_f; \ + if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ + { \ + if (S##_c != FP_CLS_NAN) \ + _FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + else \ + _FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ + } \ + else \ + D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ + } while (0) + +#endif /* __MATH_EMU_OP_1_H__ */ diff --git a/include/math-emu/op-2.h b/include/math-emu/op-2.h new file mode 100644 index 00000000000..e193fb08fd5 --- /dev/null +++ b/include/math-emu/op-2.h @@ -0,0 +1,613 @@ +/* Software floating-point emulation. + Basic two-word fraction declaration and manipulation. + 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_2_H__ +#define __MATH_EMU_OP_2_H__ + +#define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1 +#define _FP_FRAC_COPY_2(D,S) (D##_f0 = S##_f0, D##_f1 = S##_f1) +#define _FP_FRAC_SET_2(X,I) __FP_FRAC_SET_2(X, I) +#define _FP_FRAC_HIGH_2(X) (X##_f1) +#define _FP_FRAC_LOW_2(X) (X##_f0) +#define _FP_FRAC_WORD_2(X,w) (X##_f##w) + +#define _FP_FRAC_SLL_2(X,N) \ + do { \ + if ((N) < _FP_W_TYPE_SIZE) \ + { \ + if (__builtin_constant_p(N) && (N) == 1) \ + { \ + X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE)(X##_f0)) < 0); \ + X##_f0 += X##_f0; \ + } \ + else \ + { \ + X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \ + X##_f0 <<= (N); \ + } \ + } \ + else \ + { \ + X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \ + X##_f0 = 0; \ + } \ + } while (0) + +#define _FP_FRAC_SRL_2(X,N) \ + do { \ + if ((N) < _FP_W_TYPE_SIZE) \ + { \ + X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \ + X##_f1 >>= (N); \ + } \ + else \ + { \ + X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \ + X##_f1 = 0; \ + } \ + } while (0) + +/* Right shift with sticky-lsb. */ +#define _FP_FRAC_SRS_2(X,N,sz) \ + do { \ + if ((N) < _FP_W_TYPE_SIZE) \ + { \ + X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) | \ + (__builtin_constant_p(N) && (N) == 1 \ + ? X##_f0 & 1 \ + : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \ + X##_f1 >>= (N); \ + } \ + else \ + { \ + X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \ + (((X##_f1 << (2*_FP_W_TYPE_SIZE - (N))) | X##_f0) != 0)); \ + X##_f1 = 0; \ + } \ + } while (0) + +#define _FP_FRAC_ADDI_2(X,I) \ + __FP_FRAC_ADDI_2(X##_f1, X##_f0, I) + +#define _FP_FRAC_ADD_2(R,X,Y) \ + __FP_FRAC_ADD_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_SUB_2(R,X,Y) \ + __FP_FRAC_SUB_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_DEC_2(X,Y) \ + __FP_FRAC_DEC_2(X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_CLZ_2(R,X) \ + do { \ + if (X##_f1) \ + __FP_CLZ(R,X##_f1); \ + else \ + { \ + __FP_CLZ(R,X##_f0); \ + R += _FP_W_TYPE_SIZE; \ + } \ + } while(0) + +/* Predicates */ +#define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE)X##_f1 < 0) +#define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0) +#define _FP_FRAC_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs) +#define _FP_FRAC_CLEAR_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs) +#define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0) +#define _FP_FRAC_GT_2(X, Y) \ + (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 > Y##_f0)) +#define _FP_FRAC_GE_2(X, Y) \ + (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 >= Y##_f0)) + +#define _FP_ZEROFRAC_2 0, 0 +#define _FP_MINFRAC_2 0, 1 +#define _FP_MAXFRAC_2 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0) + +/* + * Internals + */ + +#define __FP_FRAC_SET_2(X,I1,I0) (X##_f0 = I0, X##_f1 = I1) + +#define __FP_CLZ_2(R, xh, xl) \ + do { \ + if (xh) \ + __FP_CLZ(R,xh); \ + else \ + { \ + __FP_CLZ(R,xl); \ + R += _FP_W_TYPE_SIZE; \ + } \ + } while(0) + +#if 0 + +#ifndef __FP_FRAC_ADDI_2 +#define __FP_FRAC_ADDI_2(xh, xl, i) \ + (xh += ((xl += i) < i)) +#endif +#ifndef __FP_FRAC_ADD_2 +#define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \ + (rh = xh + yh + ((rl = xl + yl) < xl)) +#endif +#ifndef __FP_FRAC_SUB_2 +#define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \ + (rh = xh - yh - ((rl = xl - yl) > xl)) +#endif +#ifndef __FP_FRAC_DEC_2 +#define __FP_FRAC_DEC_2(xh, xl, yh, yl) \ + do { \ + UWtype _t = xl; \ + xh -= yh + ((xl -= yl) > _t); \ + } while (0) +#endif + +#else + +#undef __FP_FRAC_ADDI_2 +#define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa(xh, xl, xh, xl, 0, i) +#undef __FP_FRAC_ADD_2 +#define __FP_FRAC_ADD_2 add_ssaaaa +#undef __FP_FRAC_SUB_2 +#define __FP_FRAC_SUB_2 sub_ddmmss +#undef __FP_FRAC_DEC_2 +#define __FP_FRAC_DEC_2(xh, xl, yh, yl) sub_ddmmss(xh, xl, xh, xl, yh, yl) + +#endif + +/* + * Unpack the raw bits of a native fp value. Do not classify or + * normalize the data. + */ + +#define _FP_UNPACK_RAW_2(fs, X, val) \ + do { \ + union _FP_UNION_##fs _flo; _flo.flt = (val); \ + \ + X##_f0 = _flo.bits.frac0; \ + X##_f1 = _flo.bits.frac1; \ + X##_e = _flo.bits.exp; \ + X##_s = _flo.bits.sign; \ + } while (0) + +#define _FP_UNPACK_RAW_2_P(fs, X, val) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + X##_f0 = _flo->bits.frac0; \ + X##_f1 = _flo->bits.frac1; \ + X##_e = _flo->bits.exp; \ + X##_s = _flo->bits.sign; \ + } while (0) + + +/* + * Repack the raw bits of a native fp value. + */ + +#define _FP_PACK_RAW_2(fs, val, X) \ + do { \ + union _FP_UNION_##fs _flo; \ + \ + _flo.bits.frac0 = X##_f0; \ + _flo.bits.frac1 = X##_f1; \ + _flo.bits.exp = X##_e; \ + _flo.bits.sign = X##_s; \ + \ + (val) = _flo.flt; \ + } while (0) + +#define _FP_PACK_RAW_2_P(fs, val, X) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + _flo->bits.frac0 = X##_f0; \ + _flo->bits.frac1 = X##_f1; \ + _flo->bits.exp = X##_e; \ + _flo->bits.sign = X##_s; \ + } while (0) + + +/* + * Multiplication algorithms: + */ + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \ + do { \ + _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ + \ + doit(_FP_FRAC_WORD_4(_z,1), _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ + doit(_b_f1, _b_f0, X##_f0, Y##_f1); \ + doit(_c_f1, _c_f0, X##_f1, Y##_f0); \ + doit(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), X##_f1, Y##_f1); \ + \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1), 0, _b_f1, _b_f0, \ + _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0, \ + _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1)); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ + R##_f0 = _FP_FRAC_WORD_4(_z,0); \ + R##_f1 = _FP_FRAC_WORD_4(_z,1); \ + } while (0) + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. + Do only 3 multiplications instead of four. This one is for machines + where multiplication is much more expensive than subtraction. */ + +#define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \ + do { \ + _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ + _FP_W_TYPE _d; \ + int _c1, _c2; \ + \ + _b_f0 = X##_f0 + X##_f1; \ + _c1 = _b_f0 < X##_f0; \ + _b_f1 = Y##_f0 + Y##_f1; \ + _c2 = _b_f1 < Y##_f0; \ + doit(_d, _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ + doit(_FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1), _b_f0, _b_f1); \ + doit(_c_f1, _c_f0, X##_f1, Y##_f1); \ + \ + _b_f0 &= -_c2; \ + _b_f1 &= -_c1; \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1), (_c1 & _c2), 0, _d, \ + 0, _FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1)); \ + __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _b_f0); \ + __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _b_f1); \ + __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1), \ + 0, _d, _FP_FRAC_WORD_4(_z,0)); \ + __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ + _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0); \ + __FP_FRAC_ADD_2(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), \ + _c_f1, _c_f0, \ + _FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2)); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ + R##_f0 = _FP_FRAC_WORD_4(_z,0); \ + R##_f1 = _FP_FRAC_WORD_4(_z,1); \ + } while (0) + +#define _FP_MUL_MEAT_2_gmp(wfracbits, R, X, Y) \ + do { \ + _FP_FRAC_DECL_4(_z); \ + _FP_W_TYPE _x[2], _y[2]; \ + _x[0] = X##_f0; _x[1] = X##_f1; \ + _y[0] = Y##_f0; _y[1] = Y##_f1; \ + \ + mpn_mul_n(_z_f, _x, _y, 2); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ + R##_f0 = _z_f[0]; \ + R##_f1 = _z_f[1]; \ + } while (0) + +/* Do at most 120x120=240 bits multiplication using double floating + point multiplication. This is useful if floating point + multiplication has much bigger throughput than integer multiply. + It is supposed to work for _FP_W_TYPE_SIZE 64 and wfracbits + between 106 and 120 only. + Caller guarantees that X and Y has (1LLL << (wfracbits - 1)) set. + SETFETZ is a macro which will disable all FPU exceptions and set rounding + towards zero, RESETFE should optionally reset it back. */ + +#define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \ + do { \ + static const double _const[] = { \ + /* 2^-24 */ 5.9604644775390625e-08, \ + /* 2^-48 */ 3.5527136788005009e-15, \ + /* 2^-72 */ 2.1175823681357508e-22, \ + /* 2^-96 */ 1.2621774483536189e-29, \ + /* 2^28 */ 2.68435456e+08, \ + /* 2^4 */ 1.600000e+01, \ + /* 2^-20 */ 9.5367431640625e-07, \ + /* 2^-44 */ 5.6843418860808015e-14, \ + /* 2^-68 */ 3.3881317890172014e-21, \ + /* 2^-92 */ 2.0194839173657902e-28, \ + /* 2^-116 */ 1.2037062152420224e-35}; \ + double _a240, _b240, _c240, _d240, _e240, _f240, \ + _g240, _h240, _i240, _j240, _k240; \ + union { double d; UDItype i; } _l240, _m240, _n240, _o240, \ + _p240, _q240, _r240, _s240; \ + UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \ + \ + if (wfracbits < 106 || wfracbits > 120) \ + abort(); \ + \ + setfetz; \ + \ + _e240 = (double)(long)(X##_f0 & 0xffffff); \ + _j240 = (double)(long)(Y##_f0 & 0xffffff); \ + _d240 = (double)(long)((X##_f0 >> 24) & 0xffffff); \ + _i240 = (double)(long)((Y##_f0 >> 24) & 0xffffff); \ + _c240 = (double)(long)(((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \ + _h240 = (double)(long)(((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \ + _b240 = (double)(long)((X##_f1 >> 8) & 0xffffff); \ + _g240 = (double)(long)((Y##_f1 >> 8) & 0xffffff); \ + _a240 = (double)(long)(X##_f1 >> 32); \ + _f240 = (double)(long)(Y##_f1 >> 32); \ + _e240 *= _const[3]; \ + _j240 *= _const[3]; \ + _d240 *= _const[2]; \ + _i240 *= _const[2]; \ + _c240 *= _const[1]; \ + _h240 *= _const[1]; \ + _b240 *= _const[0]; \ + _g240 *= _const[0]; \ + _s240.d = _e240*_j240;\ + _r240.d = _d240*_j240 + _e240*_i240;\ + _q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240;\ + _p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240;\ + _o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240;\ + _n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \ + _m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \ + _l240.d = _a240*_g240 + _b240*_f240; \ + _k240 = _a240*_f240; \ + _r240.d += _s240.d; \ + _q240.d += _r240.d; \ + _p240.d += _q240.d; \ + _o240.d += _p240.d; \ + _n240.d += _o240.d; \ + _m240.d += _n240.d; \ + _l240.d += _m240.d; \ + _k240 += _l240.d; \ + _s240.d -= ((_const[10]+_s240.d)-_const[10]); \ + _r240.d -= ((_const[9]+_r240.d)-_const[9]); \ + _q240.d -= ((_const[8]+_q240.d)-_const[8]); \ + _p240.d -= ((_const[7]+_p240.d)-_const[7]); \ + _o240.d += _const[7]; \ + _n240.d += _const[6]; \ + _m240.d += _const[5]; \ + _l240.d += _const[4]; \ + if (_s240.d != 0.0) _y240 = 1; \ + if (_r240.d != 0.0) _y240 = 1; \ + if (_q240.d != 0.0) _y240 = 1; \ + if (_p240.d != 0.0) _y240 = 1; \ + _t240 = (DItype)_k240; \ + _u240 = _l240.i; \ + _v240 = _m240.i; \ + _w240 = _n240.i; \ + _x240 = _o240.i; \ + R##_f1 = (_t240 << (128 - (wfracbits - 1))) \ + | ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104)); \ + R##_f0 = ((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \ + | ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \ + | ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \ + | ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \ + | _y240; \ + resetfe; \ + } while (0) + +/* + * Division algorithms: + */ + +#define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \ + do { \ + _FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \ + if (_FP_FRAC_GT_2(X, Y)) \ + { \ + _n_f2 = X##_f1 >> 1; \ + _n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \ + _n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \ + } \ + else \ + { \ + R##_e--; \ + _n_f2 = X##_f1; \ + _n_f1 = X##_f0; \ + _n_f0 = 0; \ + } \ + \ + /* Normalize, i.e. make the most significant bit of the \ + denominator set. */ \ + _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \ + \ + udiv_qrnnd(R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \ + umul_ppmm(_m_f1, _m_f0, R##_f1, Y##_f0); \ + _r_f0 = _n_f0; \ + if (_FP_FRAC_GT_2(_m, _r)) \ + { \ + R##_f1--; \ + _FP_FRAC_ADD_2(_r, Y, _r); \ + if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ + { \ + R##_f1--; \ + _FP_FRAC_ADD_2(_r, Y, _r); \ + } \ + } \ + _FP_FRAC_DEC_2(_r, _m); \ + \ + if (_r_f1 == Y##_f1) \ + { \ + /* This is a special case, not an optimization \ + (_r/Y##_f1 would not fit into UWtype). \ + As _r is guaranteed to be < Y, R##_f0 can be either \ + (UWtype)-1 or (UWtype)-2. But as we know what kind \ + of bits it is (sticky, guard, round), we don't care. \ + We also don't care what the reminder is, because the \ + guard bit will be set anyway. -jj */ \ + R##_f0 = -1; \ + } \ + else \ + { \ + udiv_qrnnd(R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \ + umul_ppmm(_m_f1, _m_f0, R##_f0, Y##_f0); \ + _r_f0 = 0; \ + if (_FP_FRAC_GT_2(_m, _r)) \ + { \ + R##_f0--; \ + _FP_FRAC_ADD_2(_r, Y, _r); \ + if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ + { \ + R##_f0--; \ + _FP_FRAC_ADD_2(_r, Y, _r); \ + } \ + } \ + if (!_FP_FRAC_EQ_2(_r, _m)) \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } while (0) + + +#define _FP_DIV_MEAT_2_gmp(fs, R, X, Y) \ + do { \ + _FP_W_TYPE _x[4], _y[2], _z[4]; \ + _y[0] = Y##_f0; _y[1] = Y##_f1; \ + _x[0] = _x[3] = 0; \ + if (_FP_FRAC_GT_2(X, Y)) \ + { \ + R##_e++; \ + _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE) | \ + X##_f1 >> (_FP_W_TYPE_SIZE - \ + (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE))); \ + _x[2] = X##_f1 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE); \ + } \ + else \ + { \ + _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE) | \ + X##_f1 >> (_FP_W_TYPE_SIZE - \ + (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE))); \ + _x[2] = X##_f1 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE); \ + } \ + \ + (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \ + R##_f1 = _z[1]; \ + R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \ + } while (0) + + +/* + * Square root algorithms: + * We have just one right now, maybe Newton approximation + * should be added for those machines where division is fast. + */ + +#define _FP_SQRT_MEAT_2(R, S, T, X, q) \ + do { \ + while (q) \ + { \ + T##_f1 = S##_f1 + q; \ + if (T##_f1 <= X##_f1) \ + { \ + S##_f1 = T##_f1 + q; \ + X##_f1 -= T##_f1; \ + R##_f1 += q; \ + } \ + _FP_FRAC_SLL_2(X, 1); \ + q >>= 1; \ + } \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + while (q != _FP_WORK_ROUND) \ + { \ + T##_f0 = S##_f0 + q; \ + T##_f1 = S##_f1; \ + if (T##_f1 < X##_f1 || \ + (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \ + { \ + S##_f0 = T##_f0 + q; \ + S##_f1 += (T##_f0 > S##_f0); \ + _FP_FRAC_DEC_2(X, T); \ + R##_f0 += q; \ + } \ + _FP_FRAC_SLL_2(X, 1); \ + q >>= 1; \ + } \ + if (X##_f0 | X##_f1) \ + { \ + if (S##_f1 < X##_f1 || \ + (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \ + R##_f0 |= _FP_WORK_ROUND; \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } while (0) + + +/* + * Assembly/disassembly for converting to/from integral types. + * No shifting or overflow handled here. + */ + +#define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \ + do { \ + if (rsize <= _FP_W_TYPE_SIZE) \ + r = X##_f0; \ + else \ + { \ + r = X##_f1; \ + r <<= _FP_W_TYPE_SIZE; \ + r += X##_f0; \ + } \ + } while (0) + +#define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \ + do { \ + X##_f0 = r; \ + X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \ + } while (0) + +/* + * Convert FP values between word sizes + */ + +#define _FP_FRAC_CONV_1_2(dfs, sfs, D, S) \ + do { \ + if (S##_c != FP_CLS_NAN) \ + _FP_FRAC_SRS_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + else \ + _FP_FRAC_SRL_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ + D##_f = S##_f0; \ + } while (0) + +#define _FP_FRAC_CONV_2_1(dfs, sfs, D, S) \ + do { \ + D##_f0 = S##_f; \ + D##_f1 = 0; \ + _FP_FRAC_SLL_2(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ + } while (0) + +#endif diff --git a/include/math-emu/op-4.h b/include/math-emu/op-4.h new file mode 100644 index 00000000000..ba226f8237a --- /dev/null +++ b/include/math-emu/op-4.h @@ -0,0 +1,692 @@ +/* Software floating-point emulation. + Basic four-word fraction declaration and manipulation. + 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_4_H__ +#define __MATH_EMU_OP_4_H__ + +#define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] +#define _FP_FRAC_COPY_4(D,S) \ + (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ + D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) +#define _FP_FRAC_SET_4(X,I) __FP_FRAC_SET_4(X, I) +#define _FP_FRAC_HIGH_4(X) (X##_f[3]) +#define _FP_FRAC_LOW_4(X) (X##_f[0]) +#define _FP_FRAC_WORD_4(X,w) (X##_f[w]) + +#define _FP_FRAC_SLL_4(X,N) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _up = (N) % _FP_W_TYPE_SIZE; \ + _down = _FP_W_TYPE_SIZE - _up; \ + if (!_up) \ + for (_i = 3; _i >= _skip; --_i) \ + X##_f[_i] = X##_f[_i-_skip]; \ + else \ + { \ + for (_i = 3; _i > _skip; --_i) \ + X##_f[_i] = X##_f[_i-_skip] << _up \ + | X##_f[_i-_skip-1] >> _down; \ + X##_f[_i--] = X##_f[0] << _up; \ + } \ + for (; _i >= 0; --_i) \ + X##_f[_i] = 0; \ + } while (0) + +/* This one was broken too */ +#define _FP_FRAC_SRL_4(X,N) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _down = (N) % _FP_W_TYPE_SIZE; \ + _up = _FP_W_TYPE_SIZE - _down; \ + if (!_down) \ + for (_i = 0; _i <= 3-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip]; \ + else \ + { \ + for (_i = 0; _i < 3-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip] >> _down \ + | X##_f[_i+_skip+1] << _up; \ + X##_f[_i++] = X##_f[3] >> _down; \ + } \ + for (; _i < 4; ++_i) \ + X##_f[_i] = 0; \ + } while (0) + + +/* Right shift with sticky-lsb. + * What this actually means is that we do a standard right-shift, + * but that if any of the bits that fall off the right hand side + * were one then we always set the LSbit. + */ +#define _FP_FRAC_SRS_4(X,N,size) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _FP_W_TYPE _s; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _down = (N) % _FP_W_TYPE_SIZE; \ + _up = _FP_W_TYPE_SIZE - _down; \ + for (_s = _i = 0; _i < _skip; ++_i) \ + _s |= X##_f[_i]; \ + _s |= X##_f[_i] << _up; \ +/* s is now != 0 if we want to set the LSbit */ \ + if (!_down) \ + for (_i = 0; _i <= 3-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip]; \ + else \ + { \ + for (_i = 0; _i < 3-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip] >> _down \ + | X##_f[_i+_skip+1] << _up; \ + X##_f[_i++] = X##_f[3] >> _down; \ + } \ + for (; _i < 4; ++_i) \ + X##_f[_i] = 0; \ + /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ + X##_f[0] |= (_s != 0); \ + } while (0) + +#define _FP_FRAC_ADD_4(R,X,Y) \ + __FP_FRAC_ADD_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_SUB_4(R,X,Y) \ + __FP_FRAC_SUB_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_DEC_4(X,Y) \ + __FP_FRAC_DEC_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_ADDI_4(X,I) \ + __FP_FRAC_ADDI_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) + +#define _FP_ZEROFRAC_4 0,0,0,0 +#define _FP_MINFRAC_4 0,0,0,1 +#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0) + +#define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) +#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE)X##_f[3] < 0) +#define _FP_FRAC_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs) +#define _FP_FRAC_CLEAR_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs) + +#define _FP_FRAC_EQ_4(X,Y) \ + (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ + && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) + +#define _FP_FRAC_GT_4(X,Y) \ + (X##_f[3] > Y##_f[3] || \ + (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \ + (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \ + (X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0]) \ + )) \ + )) \ + ) + +#define _FP_FRAC_GE_4(X,Y) \ + (X##_f[3] > Y##_f[3] || \ + (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \ + (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \ + (X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0]) \ + )) \ + )) \ + ) + + +#define _FP_FRAC_CLZ_4(R,X) \ + do { \ + if (X##_f[3]) \ + { \ + __FP_CLZ(R,X##_f[3]); \ + } \ + else if (X##_f[2]) \ + { \ + __FP_CLZ(R,X##_f[2]); \ + R += _FP_W_TYPE_SIZE; \ + } \ + else if (X##_f[1]) \ + { \ + __FP_CLZ(R,X##_f[2]); \ + R += _FP_W_TYPE_SIZE*2; \ + } \ + else \ + { \ + __FP_CLZ(R,X##_f[0]); \ + R += _FP_W_TYPE_SIZE*3; \ + } \ + } while(0) + + +#define _FP_UNPACK_RAW_4(fs, X, val) \ + do { \ + union _FP_UNION_##fs _flo; _flo.flt = (val); \ + X##_f[0] = _flo.bits.frac0; \ + X##_f[1] = _flo.bits.frac1; \ + X##_f[2] = _flo.bits.frac2; \ + X##_f[3] = _flo.bits.frac3; \ + X##_e = _flo.bits.exp; \ + X##_s = _flo.bits.sign; \ + } while (0) + +#define _FP_UNPACK_RAW_4_P(fs, X, val) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + X##_f[0] = _flo->bits.frac0; \ + X##_f[1] = _flo->bits.frac1; \ + X##_f[2] = _flo->bits.frac2; \ + X##_f[3] = _flo->bits.frac3; \ + X##_e = _flo->bits.exp; \ + X##_s = _flo->bits.sign; \ + } while (0) + +#define _FP_PACK_RAW_4(fs, val, X) \ + do { \ + union _FP_UNION_##fs _flo; \ + _flo.bits.frac0 = X##_f[0]; \ + _flo.bits.frac1 = X##_f[1]; \ + _flo.bits.frac2 = X##_f[2]; \ + _flo.bits.frac3 = X##_f[3]; \ + _flo.bits.exp = X##_e; \ + _flo.bits.sign = X##_s; \ + (val) = _flo.flt; \ + } while (0) + +#define _FP_PACK_RAW_4_P(fs, val, X) \ + do { \ + union _FP_UNION_##fs *_flo = \ + (union _FP_UNION_##fs *)(val); \ + \ + _flo->bits.frac0 = X##_f[0]; \ + _flo->bits.frac1 = X##_f[1]; \ + _flo->bits.frac2 = X##_f[2]; \ + _flo->bits.frac3 = X##_f[3]; \ + _flo->bits.exp = X##_e; \ + _flo->bits.sign = X##_s; \ + } while (0) + +/* + * Multiplication algorithms: + */ + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ + do { \ + _FP_FRAC_DECL_8(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ + _FP_FRAC_DECL_2(_d); _FP_FRAC_DECL_2(_e); _FP_FRAC_DECL_2(_f); \ + \ + doit(_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0), X##_f[0], Y##_f[0]); \ + doit(_b_f1, _b_f0, X##_f[0], Y##_f[1]); \ + doit(_c_f1, _c_f0, X##_f[1], Y##_f[0]); \ + doit(_d_f1, _d_f0, X##_f[1], Y##_f[1]); \ + doit(_e_f1, _e_f0, X##_f[0], Y##_f[2]); \ + doit(_f_f1, _f_f0, X##_f[2], Y##_f[0]); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ + _FP_FRAC_WORD_8(_z,1), 0,_b_f1,_b_f0, \ + 0,0,_FP_FRAC_WORD_8(_z,1)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ + _FP_FRAC_WORD_8(_z,1), 0,_c_f1,_c_f0, \ + _FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ + _FP_FRAC_WORD_8(_z,1)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ + _FP_FRAC_WORD_8(_z,2), 0,_d_f1,_d_f0, \ + 0,_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ + _FP_FRAC_WORD_8(_z,2), 0,_e_f1,_e_f0, \ + _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ + _FP_FRAC_WORD_8(_z,2)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ + _FP_FRAC_WORD_8(_z,2), 0,_f_f1,_f_f0, \ + _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ + _FP_FRAC_WORD_8(_z,2)); \ + doit(_b_f1, _b_f0, X##_f[0], Y##_f[3]); \ + doit(_c_f1, _c_f0, X##_f[3], Y##_f[0]); \ + doit(_d_f1, _d_f0, X##_f[1], Y##_f[2]); \ + doit(_e_f1, _e_f0, X##_f[2], Y##_f[1]); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3), 0,_b_f1,_b_f0, \ + 0,_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3), 0,_c_f1,_c_f0, \ + _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3), 0,_d_f1,_d_f0, \ + _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3), 0,_e_f1,_e_f0, \ + _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ + _FP_FRAC_WORD_8(_z,3)); \ + doit(_b_f1, _b_f0, X##_f[2], Y##_f[2]); \ + doit(_c_f1, _c_f0, X##_f[1], Y##_f[3]); \ + doit(_d_f1, _d_f0, X##_f[3], Y##_f[1]); \ + doit(_e_f1, _e_f0, X##_f[2], Y##_f[3]); \ + doit(_f_f1, _f_f0, X##_f[3], Y##_f[2]); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ + _FP_FRAC_WORD_8(_z,4), 0,_b_f1,_b_f0, \ + 0,_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ + _FP_FRAC_WORD_8(_z,4), 0,_c_f1,_c_f0, \ + _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ + _FP_FRAC_WORD_8(_z,4)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ + _FP_FRAC_WORD_8(_z,4), 0,_d_f1,_d_f0, \ + _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ + _FP_FRAC_WORD_8(_z,4)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ + _FP_FRAC_WORD_8(_z,5), 0,_e_f1,_e_f0, \ + 0,_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5)); \ + __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ + _FP_FRAC_WORD_8(_z,5), 0,_f_f1,_f_f0, \ + _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ + _FP_FRAC_WORD_8(_z,5)); \ + doit(_b_f1, _b_f0, X##_f[3], Y##_f[3]); \ + __FP_FRAC_ADD_2(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ + _b_f1,_b_f0, \ + _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6)); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \ + __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ + _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \ + } while (0) + +#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ + do { \ + _FP_FRAC_DECL_8(_z); \ + \ + mpn_mul_n(_z_f, _x_f, _y_f, 4); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \ + __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ + _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \ + } while (0) + +/* + * Helper utility for _FP_DIV_MEAT_4_udiv: + * pppp = m * nnn + */ +#define umul_ppppmnnn(p3,p2,p1,p0,m,n2,n1,n0) \ + do { \ + UWtype _t; \ + umul_ppmm(p1,p0,m,n0); \ + umul_ppmm(p2,_t,m,n1); \ + __FP_FRAC_ADDI_2(p2,p1,_t); \ + umul_ppmm(p3,_t,m,n2); \ + __FP_FRAC_ADDI_2(p3,p2,_t); \ + } while (0) + +/* + * Division algorithms: + */ + +#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ + do { \ + int _i; \ + _FP_FRAC_DECL_4(_n); _FP_FRAC_DECL_4(_m); \ + _FP_FRAC_SET_4(_n, _FP_ZEROFRAC_4); \ + if (_FP_FRAC_GT_4(X, Y)) \ + { \ + _n_f[3] = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_4(X, 1); \ + } \ + else \ + R##_e--; \ + \ + /* Normalize, i.e. make the most significant bit of the \ + denominator set. */ \ + _FP_FRAC_SLL_4(Y, _FP_WFRACXBITS_##fs); \ + \ + for (_i = 3; ; _i--) \ + { \ + if (X##_f[3] == Y##_f[3]) \ + { \ + /* This is a special case, not an optimization \ + (X##_f[3]/Y##_f[3] would not fit into UWtype). \ + As X## is guaranteed to be < Y, R##_f[_i] can be either \ + (UWtype)-1 or (UWtype)-2. */ \ + R##_f[_i] = -1; \ + if (!_i) \ + break; \ + __FP_FRAC_SUB_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[2], Y##_f[1], Y##_f[0], 0, \ + X##_f[2], X##_f[1], X##_f[0], _n_f[_i]); \ + _FP_FRAC_SUB_4(X, Y, X); \ + if (X##_f[3] > Y##_f[3]) \ + { \ + R##_f[_i] = -2; \ + _FP_FRAC_ADD_4(X, Y, X); \ + } \ + } \ + else \ + { \ + udiv_qrnnd(R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ + umul_ppppmnnn(_m_f[3], _m_f[2], _m_f[1], _m_f[0], \ + R##_f[_i], Y##_f[2], Y##_f[1], Y##_f[0]); \ + X##_f[2] = X##_f[1]; \ + X##_f[1] = X##_f[0]; \ + X##_f[0] = _n_f[_i]; \ + if (_FP_FRAC_GT_4(_m, X)) \ + { \ + R##_f[_i]--; \ + _FP_FRAC_ADD_4(X, Y, X); \ + if (_FP_FRAC_GE_4(X, Y) && _FP_FRAC_GT_4(_m, X)) \ + { \ + R##_f[_i]--; \ + _FP_FRAC_ADD_4(X, Y, X); \ + } \ + } \ + _FP_FRAC_DEC_4(X, _m); \ + if (!_i) \ + { \ + if (!_FP_FRAC_EQ_4(X, _m)) \ + R##_f[0] |= _FP_WORK_STICKY; \ + break; \ + } \ + } \ + } \ + } while (0) + + +/* + * Square root algorithms: + * We have just one right now, maybe Newton approximation + * should be added for those machines where division is fast. + */ + +#define _FP_SQRT_MEAT_4(R, S, T, X, q) \ + do { \ + while (q) \ + { \ + T##_f[3] = S##_f[3] + q; \ + if (T##_f[3] <= X##_f[3]) \ + { \ + S##_f[3] = T##_f[3] + q; \ + X##_f[3] -= T##_f[3]; \ + R##_f[3] += q; \ + } \ + _FP_FRAC_SLL_4(X, 1); \ + q >>= 1; \ + } \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[2] = S##_f[2] + q; \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] || \ + (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ + { \ + S##_f[2] = T##_f[2] + q; \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_2(X##_f[3], X##_f[2], \ + T##_f[3], T##_f[2]); \ + R##_f[2] += q; \ + } \ + _FP_FRAC_SLL_4(X, 1); \ + q >>= 1; \ + } \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[1] = S##_f[1] + q; \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] || \ + (T##_f[3] == X##_f[3] && (T##_f[2] < X##_f[2] || \ + (T##_f[2] == X##_f[2] && T##_f[1] <= X##_f[1])))) \ + { \ + S##_f[1] = T##_f[1] + q; \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_3(X##_f[3], X##_f[2], X##_f[1], \ + T##_f[3], T##_f[2], T##_f[1]); \ + R##_f[1] += q; \ + } \ + _FP_FRAC_SLL_4(X, 1); \ + q >>= 1; \ + } \ + q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ + while (q != _FP_WORK_ROUND) \ + { \ + T##_f[0] = S##_f[0] + q; \ + T##_f[1] = S##_f[1]; \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (_FP_FRAC_GE_4(X,T)) \ + { \ + S##_f[0] = T##_f[0] + q; \ + S##_f[1] += (T##_f[0] > S##_f[0]); \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + _FP_FRAC_DEC_4(X, T); \ + R##_f[0] += q; \ + } \ + _FP_FRAC_SLL_4(X, 1); \ + q >>= 1; \ + } \ + if (!_FP_FRAC_ZEROP_4(X)) \ + { \ + if (_FP_FRAC_GT_4(X,S)) \ + R##_f[0] |= _FP_WORK_ROUND; \ + R##_f[0] |= _FP_WORK_STICKY; \ + } \ + } while (0) + + +/* + * Internals + */ + +#define __FP_FRAC_SET_4(X,I3,I2,I1,I0) \ + (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) + +#ifndef __FP_FRAC_ADD_3 +#define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ + do { \ + int _c1, _c2; \ + r0 = x0 + y0; \ + _c1 = r0 < x0; \ + r1 = x1 + y1; \ + _c2 = r1 < x1; \ + r1 += _c1; \ + _c2 |= r1 < _c1; \ + r2 = x2 + y2 + _c2; \ + } while (0) +#endif + +#ifndef __FP_FRAC_ADD_4 +#define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ + do { \ + int _c1, _c2, _c3; \ + r0 = x0 + y0; \ + _c1 = r0 < x0; \ + r1 = x1 + y1; \ + _c2 = r1 < x1; \ + r1 += _c1; \ + _c2 |= r1 < _c1; \ + r2 = x2 + y2; \ + _c3 = r2 < x2; \ + r2 += _c2; \ + _c3 |= r2 < _c2; \ + r3 = x3 + y3 + _c3; \ + } while (0) +#endif + +#ifndef __FP_FRAC_SUB_3 +#define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ + do { \ + int _c1, _c2; \ + r0 = x0 - y0; \ + _c1 = r0 > x0; \ + r1 = x1 - y1; \ + _c2 = r1 > x1; \ + r1 -= _c1; \ + _c2 |= r1 > _c1; \ + r2 = x2 - y2 - _c2; \ + } while (0) +#endif + +#ifndef __FP_FRAC_SUB_4 +#define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ + do { \ + int _c1, _c2, _c3; \ + r0 = x0 - y0; \ + _c1 = r0 > x0; \ + r1 = x1 - y1; \ + _c2 = r1 > x1; \ + r1 -= _c1; \ + _c2 |= r1 > _c1; \ + r2 = x2 - y2; \ + _c3 = r2 > x2; \ + r2 -= _c2; \ + _c3 |= r2 > _c2; \ + r3 = x3 - y3 - _c3; \ + } while (0) +#endif + +#ifndef __FP_FRAC_DEC_3 +#define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0) \ + do { \ + UWtype _t0, _t1, _t2; \ + _t0 = x0, _t1 = x1, _t2 = x2; \ + __FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _t0, y2, y1, y0); \ + } while (0) +#endif + +#ifndef __FP_FRAC_DEC_4 +#define __FP_FRAC_DEC_4(x3,x2,x1,x0,y3,y2,y1,y0) \ + do { \ + UWtype _t0, _t1, _t2, _t3; \ + _t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3; \ + __FP_FRAC_SUB_4 (x3,x2,x1,x0,_t3,_t2,_t1,_t0, y3,y2,y1,y0); \ + } while (0) +#endif + +#ifndef __FP_FRAC_ADDI_4 +#define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \ + do { \ + UWtype _t; \ + _t = ((x0 += i) < i); \ + x1 += _t; _t = (x1 < _t); \ + x2 += _t; _t = (x2 < _t); \ + x3 += _t; \ + } while (0) +#endif + +/* Convert FP values between word sizes. This appears to be more + * complicated than I'd have expected it to be, so these might be + * wrong... These macros are in any case somewhat bogus because they + * use information about what various FRAC_n variables look like + * internally [eg, that 2 word vars are X_f0 and x_f1]. But so do + * the ones in op-2.h and op-1.h. + */ +#define _FP_FRAC_CONV_1_4(dfs, sfs, D, S) \ + do { \ + if (S##_c != FP_CLS_NAN) \ + _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + else \ + _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ + D##_f = S##_f[0]; \ + } while (0) + +#define _FP_FRAC_CONV_2_4(dfs, sfs, D, S) \ + do { \ + if (S##_c != FP_CLS_NAN) \ + _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + else \ + _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ + D##_f0 = S##_f[0]; \ + D##_f1 = S##_f[1]; \ + } while (0) + +/* Assembly/disassembly for converting to/from integral types. + * No shifting or overflow handled here. + */ +/* Put the FP value X into r, which is an integer of size rsize. */ +#define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ + do { \ + if (rsize <= _FP_W_TYPE_SIZE) \ + r = X##_f[0]; \ + else if (rsize <= 2*_FP_W_TYPE_SIZE) \ + { \ + r = X##_f[1]; \ + r <<= _FP_W_TYPE_SIZE; \ + r += X##_f[0]; \ + } \ + else \ + { \ + /* I'm feeling lazy so we deal with int == 3words (implausible)*/ \ + /* and int == 4words as a single case. */ \ + r = X##_f[3]; \ + r <<= _FP_W_TYPE_SIZE; \ + r += X##_f[2]; \ + r <<= _FP_W_TYPE_SIZE; \ + r += X##_f[1]; \ + r <<= _FP_W_TYPE_SIZE; \ + r += X##_f[0]; \ + } \ + } while (0) + +/* "No disassemble Number Five!" */ +/* move an integer of size rsize into X's fractional part. We rely on + * the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid + * having to mask the values we store into it. + */ +#define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ + do { \ + X##_f[0] = r; \ + X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \ + X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \ + X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \ + } while (0) + +#define _FP_FRAC_CONV_4_1(dfs, sfs, D, S) \ + do { \ + D##_f[0] = S##_f; \ + D##_f[1] = D##_f[2] = D##_f[3] = 0; \ + _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ + } while (0) + +#define _FP_FRAC_CONV_4_2(dfs, sfs, D, S) \ + do { \ + D##_f[0] = S##_f0; \ + D##_f[1] = S##_f1; \ + D##_f[2] = D##_f[3] = 0; \ + _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ + } while (0) + +#endif diff --git a/include/math-emu/op-8.h b/include/math-emu/op-8.h new file mode 100644 index 00000000000..8b8c05eb828 --- /dev/null +++ b/include/math-emu/op-8.h @@ -0,0 +1,107 @@ +/* Software floating-point emulation. + Basic eight-word fraction declaration and manipulation. + 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) 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_8_H__ +#define __MATH_EMU_OP_8_H__ + +/* We need just a few things from here for op-4, if we ever need some + other macros, they can be added. */ +#define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] +#define _FP_FRAC_HIGH_8(X) (X##_f[7]) +#define _FP_FRAC_LOW_8(X) (X##_f[0]) +#define _FP_FRAC_WORD_8(X,w) (X##_f[w]) + +#define _FP_FRAC_SLL_8(X,N) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _up = (N) % _FP_W_TYPE_SIZE; \ + _down = _FP_W_TYPE_SIZE - _up; \ + if (!_up) \ + for (_i = 7; _i >= _skip; --_i) \ + X##_f[_i] = X##_f[_i-_skip]; \ + else \ + { \ + for (_i = 7; _i > _skip; --_i) \ + X##_f[_i] = X##_f[_i-_skip] << _up \ + | X##_f[_i-_skip-1] >> _down; \ + X##_f[_i--] = X##_f[0] << _up; \ + } \ + for (; _i >= 0; --_i) \ + X##_f[_i] = 0; \ + } while (0) + +#define _FP_FRAC_SRL_8(X,N) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _down = (N) % _FP_W_TYPE_SIZE; \ + _up = _FP_W_TYPE_SIZE - _down; \ + if (!_down) \ + for (_i = 0; _i <= 7-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip]; \ + else \ + { \ + for (_i = 0; _i < 7-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip] >> _down \ + | X##_f[_i+_skip+1] << _up; \ + X##_f[_i++] = X##_f[7] >> _down; \ + } \ + for (; _i < 8; ++_i) \ + X##_f[_i] = 0; \ + } while (0) + + +/* Right shift with sticky-lsb. + * What this actually means is that we do a standard right-shift, + * but that if any of the bits that fall off the right hand side + * were one then we always set the LSbit. + */ +#define _FP_FRAC_SRS_8(X,N,size) \ + do { \ + _FP_I_TYPE _up, _down, _skip, _i; \ + _FP_W_TYPE _s; \ + _skip = (N) / _FP_W_TYPE_SIZE; \ + _down = (N) % _FP_W_TYPE_SIZE; \ + _up = _FP_W_TYPE_SIZE - _down; \ + for (_s = _i = 0; _i < _skip; ++_i) \ + _s |= X##_f[_i]; \ + _s |= X##_f[_i] << _up; \ +/* s is now != 0 if we want to set the LSbit */ \ + if (!_down) \ + for (_i = 0; _i <= 7-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip]; \ + else \ + { \ + for (_i = 0; _i < 7-_skip; ++_i) \ + X##_f[_i] = X##_f[_i+_skip] >> _down \ + | X##_f[_i+_skip+1] << _up; \ + X##_f[_i++] = X##_f[7] >> _down; \ + } \ + for (; _i < 8; ++_i) \ + X##_f[_i] = 0; \ + /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ + X##_f[0] |= (_s != 0); \ + } while (0) + +#endif diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h new file mode 100644 index 00000000000..93780abd01b --- /dev/null +++ b/include/math-emu/op-common.h @@ -0,0 +1,853 @@ +/* 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 truely 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); \ + } \ + 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); \ + _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); \ + } \ + else \ + { \ + X##_e = 0; \ + _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ + 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); \ + 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); \ + 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): \ + 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) + + +/* + * 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 \ + { \ + 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_ROUND(wc, X); \ + _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; \ + if (rsize <= _FP_W_TYPE_SIZE) \ + __FP_CLZ(X##_e, ur_); \ + else \ + __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ + (_FP_W_TYPE)ur_); \ + if (rsize < _FP_W_TYPE_SIZE) \ + X##_e -= (_FP_W_TYPE_SIZE - rsize); \ + X##_e = rsize - X##_e - 1; \ + \ + if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \ + __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\ + _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ + if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \ + _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \ + } \ + else \ + { \ + X##_c = FP_CLS_ZERO, X##_s = 0; \ + } \ + } while (0) + + +#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__ */ diff --git a/include/math-emu/quad.h b/include/math-emu/quad.h new file mode 100644 index 00000000000..616113626d0 --- /dev/null +++ b/include/math-emu/quad.h @@ -0,0 +1,208 @@ +/* Software floating-point emulation. + Definitions for IEEE Quad Precision. + 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_QUAD_H__ +#define __MATH_EMU_QUAD_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_Q (4*_FP_W_TYPE_SIZE) +#else +#define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE) +#endif + +#define _FP_FRACBITS_Q 113 +#define _FP_FRACXBITS_Q (_FP_FRACTBITS_Q - _FP_FRACBITS_Q) +#define _FP_WFRACBITS_Q (_FP_WORKBITS + _FP_FRACBITS_Q) +#define _FP_WFRACXBITS_Q (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q) +#define _FP_EXPBITS_Q 15 +#define _FP_EXPBIAS_Q 16383 +#define _FP_EXPMAX_Q 32767 + +#define _FP_QNANBIT_Q \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_Q \ + ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_Q \ + ((_FP_W_TYPE)1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE)) + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_Q +{ + long double flt; + struct + { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_Q; + unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); + unsigned long frac2 : _FP_W_TYPE_SIZE; + 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 long frac2 : _FP_W_TYPE_SIZE; + unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); + unsigned exp : _FP_EXPBITS_Q; + unsigned sign : 1; +#endif /* not bigendian */ + } bits __attribute__((packed)); +}; + + +#define FP_DECL_Q(X) _FP_DECL(4,X) +#define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_4(Q,X,val) +#define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_4_P(Q,X,val) +#define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_4(Q,val,X) +#define FP_PACK_RAW_QP(val,X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_4_P(Q,val,X); \ + } while (0) + +#define FP_UNPACK_Q(X,val) \ + do { \ + _FP_UNPACK_RAW_4(Q,X,val); \ + _FP_UNPACK_CANONICAL(Q,4,X); \ + } while (0) + +#define FP_UNPACK_QP(X,val) \ + do { \ + _FP_UNPACK_RAW_4_P(Q,X,val); \ + _FP_UNPACK_CANONICAL(Q,4,X); \ + } while (0) + +#define FP_PACK_Q(val,X) \ + do { \ + _FP_PACK_CANONICAL(Q,4,X); \ + _FP_PACK_RAW_4(Q,val,X); \ + } while (0) + +#define FP_PACK_QP(val,X) \ + do { \ + _FP_PACK_CANONICAL(Q,4,X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_4_P(Q,val,X); \ + } while (0) + +#define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,4,X) +#define FP_NEG_Q(R,X) _FP_NEG(Q,4,R,X) +#define FP_ADD_Q(R,X,Y) _FP_ADD(Q,4,R,X,Y) +#define FP_SUB_Q(R,X,Y) _FP_SUB(Q,4,R,X,Y) +#define FP_MUL_Q(R,X,Y) _FP_MUL(Q,4,R,X,Y) +#define FP_DIV_Q(R,X,Y) _FP_DIV(Q,4,R,X,Y) +#define FP_SQRT_Q(R,X) _FP_SQRT(Q,4,R,X) +#define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_4(R,S,T,X,Q) + +#define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,4,r,X,Y,un) +#define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,4,r,X,Y) + +#define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,4,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,4,r,X,rsz,rsg) +#define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,4,X,r,rs,rt) + +#define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4(X) +#define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4(X) + +#else /* not _FP_W_TYPE_SIZE < 64 */ +union _FP_UNION_Q +{ + long double flt /* __attribute__((mode(TF))) */ ; + struct { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_Q; + unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; + unsigned long frac0 : _FP_W_TYPE_SIZE; +#else + unsigned long frac0 : _FP_W_TYPE_SIZE; + unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_Q; + unsigned sign : 1; +#endif + } bits; +}; + +#define FP_DECL_Q(X) _FP_DECL(2,X) +#define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_2(Q,X,val) +#define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_2_P(Q,X,val) +#define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_2(Q,val,X) +#define FP_PACK_RAW_QP(val,X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P(Q,val,X); \ + } while (0) + +#define FP_UNPACK_Q(X,val) \ + do { \ + _FP_UNPACK_RAW_2(Q,X,val); \ + _FP_UNPACK_CANONICAL(Q,2,X); \ + } while (0) + +#define FP_UNPACK_QP(X,val) \ + do { \ + _FP_UNPACK_RAW_2_P(Q,X,val); \ + _FP_UNPACK_CANONICAL(Q,2,X); \ + } while (0) + +#define FP_PACK_Q(val,X) \ + do { \ + _FP_PACK_CANONICAL(Q,2,X); \ + _FP_PACK_RAW_2(Q,val,X); \ + } while (0) + +#define FP_PACK_QP(val,X) \ + do { \ + _FP_PACK_CANONICAL(Q,2,X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P(Q,val,X); \ + } while (0) + +#define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,2,X) +#define FP_NEG_Q(R,X) _FP_NEG(Q,2,R,X) +#define FP_ADD_Q(R,X,Y) _FP_ADD(Q,2,R,X,Y) +#define FP_SUB_Q(R,X,Y) _FP_SUB(Q,2,R,X,Y) +#define FP_MUL_Q(R,X,Y) _FP_MUL(Q,2,R,X,Y) +#define FP_DIV_Q(R,X,Y) _FP_DIV(Q,2,R,X,Y) +#define FP_SQRT_Q(R,X) _FP_SQRT(Q,2,R,X) +#define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) + +#define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,2,r,X,Y,un) +#define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,2,r,X,Y) + +#define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,2,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,2,r,X,rsz,rsg) +#define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,2,X,r,rs,rt) + +#define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2(X) +#define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2(X) + +#endif /* not _FP_W_TYPE_SIZE < 64 */ + +#endif /* __MATH_EMU_QUAD_H__ */ diff --git a/include/math-emu/single.h b/include/math-emu/single.h new file mode 100644 index 00000000000..87f90b0f9e5 --- /dev/null +++ b/include/math-emu/single.h @@ -0,0 +1,116 @@ +/* Software floating-point emulation. + Definitions for IEEE Single Precision. + 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_SINGLE_H__ +#define __MATH_EMU_SINGLE_H__ + +#if _FP_W_TYPE_SIZE < 32 +#error "Here's a nickel kid. Go buy yourself a real computer." +#endif + +#define _FP_FRACBITS_S 24 +#define _FP_FRACXBITS_S (_FP_W_TYPE_SIZE - _FP_FRACBITS_S) +#define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S) +#define _FP_WFRACXBITS_S (_FP_W_TYPE_SIZE - _FP_WFRACBITS_S) +#define _FP_EXPBITS_S 8 +#define _FP_EXPBIAS_S 127 +#define _FP_EXPMAX_S 255 +#define _FP_QNANBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2)) +#define _FP_IMPLBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1)) +#define _FP_OVERFLOW_S ((_FP_W_TYPE)1 << (_FP_WFRACBITS_S)) + +/* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be + chosen by the target machine. */ + +union _FP_UNION_S +{ + float flt; + struct { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_S; + unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); +#else + unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); + unsigned exp : _FP_EXPBITS_S; + unsigned sign : 1; +#endif + } bits __attribute__((packed)); +}; + +#define FP_DECL_S(X) _FP_DECL(1,X) +#define FP_UNPACK_RAW_S(X,val) _FP_UNPACK_RAW_1(S,X,val) +#define FP_UNPACK_RAW_SP(X,val) _FP_UNPACK_RAW_1_P(S,X,val) +#define FP_PACK_RAW_S(val,X) _FP_PACK_RAW_1(S,val,X) +#define FP_PACK_RAW_SP(val,X) \ + do { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P(S,val,X); \ + } while (0) + +#define FP_UNPACK_S(X,val) \ + do { \ + _FP_UNPACK_RAW_1(S,X,val); \ + _FP_UNPACK_CANONICAL(S,1,X); \ + } while (0) + +#define FP_UNPACK_SP(X,val) \ + do { \ + _FP_UNPACK_RAW_1_P(S,X,val); \ + _FP_UNPACK_CANONICAL(S,1,X); \ + } while (0) + +#define FP_PACK_S(val,X) \ + do { \ + _FP_PACK_CANONICAL(S,1,X); \ + _FP_PACK_RAW_1(S,val,X); \ + } while (0) + +#define FP_PACK_SP(val,X) \ + do { \ + _FP_PACK_CANONICAL(S,1,X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P(S,val,X); \ + } while (0) + +#define FP_ISSIGNAN_S(X) _FP_ISSIGNAN(S,1,X) +#define FP_NEG_S(R,X) _FP_NEG(S,1,R,X) +#define FP_ADD_S(R,X,Y) _FP_ADD(S,1,R,X,Y) +#define FP_SUB_S(R,X,Y) _FP_SUB(S,1,R,X,Y) +#define FP_MUL_S(R,X,Y) _FP_MUL(S,1,R,X,Y) +#define FP_DIV_S(R,X,Y) _FP_DIV(S,1,R,X,Y) +#define FP_SQRT_S(R,X) _FP_SQRT(S,1,R,X) +#define _FP_SQRT_MEAT_S(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) + +#define FP_CMP_S(r,X,Y,un) _FP_CMP(S,1,r,X,Y,un) +#define FP_CMP_EQ_S(r,X,Y) _FP_CMP_EQ(S,1,r,X,Y) + +#define FP_TO_INT_S(r,X,rsz,rsg) _FP_TO_INT(S,1,r,X,rsz,rsg) +#define FP_TO_INT_ROUND_S(r,X,rsz,rsg) _FP_TO_INT_ROUND(S,1,r,X,rsz,rsg) +#define FP_FROM_INT_S(X,r,rs,rt) _FP_FROM_INT(S,1,X,r,rs,rt) + +#define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1(X) +#define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1(X) + +#endif /* __MATH_EMU_SINGLE_H__ */ diff --git a/include/math-emu/soft-fp.h b/include/math-emu/soft-fp.h new file mode 100644 index 00000000000..d02eb64a865 --- /dev/null +++ b/include/math-emu/soft-fp.h @@ -0,0 +1,181 @@ +/* Software floating-point emulation. + 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_SOFT_FP_H__ +#define __MATH_EMU_SOFT_FP_H__ + +#include <asm/sfp-machine.h> + +/* Allow sfp-machine to have its own byte order definitions. */ +#ifndef __BYTE_ORDER +#include <endian.h> +#endif + +#define _FP_WORKBITS 3 +#define _FP_WORK_LSB ((_FP_W_TYPE)1 << 3) +#define _FP_WORK_ROUND ((_FP_W_TYPE)1 << 2) +#define _FP_WORK_GUARD ((_FP_W_TYPE)1 << 1) +#define _FP_WORK_STICKY ((_FP_W_TYPE)1 << 0) + +#ifndef FP_RND_NEAREST +# define FP_RND_NEAREST 0 +# define FP_RND_ZERO 1 +# define FP_RND_PINF 2 +# define FP_RND_MINF 3 +#ifndef FP_ROUNDMODE +# define FP_ROUNDMODE FP_RND_NEAREST +#endif +#endif + +/* By default don't care about exceptions. */ +#ifndef FP_EX_INVALID +#define FP_EX_INVALID 0 +#endif +#ifndef FP_EX_OVERFLOW +#define FP_EX_OVERFLOW 0 +#endif +#ifndef FP_EX_UNDERFLOW +#define FP_EX_UNDERFLOW +#endif +#ifndef FP_EX_DIVZERO +#define FP_EX_DIVZERO 0 +#endif +#ifndef FP_EX_INEXACT +#define FP_EX_INEXACT 0 +#endif +#ifndef FP_EX_DENORM +#define FP_EX_DENORM 0 +#endif + +#ifdef _FP_DECL_EX +#define FP_DECL_EX \ + int _fex = 0; \ + _FP_DECL_EX +#else +#define FP_DECL_EX int _fex = 0 +#endif + +#ifndef FP_INIT_ROUNDMODE +#define FP_INIT_ROUNDMODE do {} while (0) +#endif + +#ifndef FP_HANDLE_EXCEPTIONS +#define FP_HANDLE_EXCEPTIONS do {} while (0) +#endif + +/* By default we never flush denormal input operands to signed zero. */ +#ifndef FP_DENORM_ZERO +#define FP_DENORM_ZERO 0 +#endif + +#ifndef FP_INHIBIT_RESULTS +/* By default we write the results always. + * sfp-machine may override this and e.g. + * check if some exceptions are unmasked + * and inhibit it in such a case. + */ +#define FP_INHIBIT_RESULTS 0 +#endif + +#define FP_SET_EXCEPTION(ex) \ + _fex |= (ex) + +#define FP_UNSET_EXCEPTION(ex) \ + _fex &= ~(ex) + +#define FP_CLEAR_EXCEPTIONS \ + _fex = 0 + +#define _FP_ROUND_NEAREST(wc, X) \ +do { \ + if ((_FP_FRAC_LOW_##wc(X) & 15) != _FP_WORK_ROUND) \ + _FP_FRAC_ADDI_##wc(X, _FP_WORK_ROUND); \ +} while (0) + +#define _FP_ROUND_ZERO(wc, X) 0 + +#define _FP_ROUND_PINF(wc, X) \ +do { \ + if (!X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ + _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ +} while (0) + +#define _FP_ROUND_MINF(wc, X) \ +do { \ + if (X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ + _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ +} while (0) + +#define _FP_ROUND(wc, X) \ +do { \ + if (_FP_FRAC_LOW_##wc(X) & 7) \ + FP_SET_EXCEPTION(FP_EX_INEXACT); \ + switch (FP_ROUNDMODE) \ + { \ + case FP_RND_NEAREST: \ + _FP_ROUND_NEAREST(wc,X); \ + break; \ + case FP_RND_ZERO: \ + _FP_ROUND_ZERO(wc,X); \ + break; \ + case FP_RND_PINF: \ + _FP_ROUND_PINF(wc,X); \ + break; \ + case FP_RND_MINF: \ + _FP_ROUND_MINF(wc,X); \ + break; \ + } \ +} while (0) + +#define FP_CLS_NORMAL 0 +#define FP_CLS_ZERO 1 +#define FP_CLS_INF 2 +#define FP_CLS_NAN 3 + +#define _FP_CLS_COMBINE(x,y) (((x) << 2) | (y)) + +#include <math-emu/op-1.h> +#include <math-emu/op-2.h> +#include <math-emu/op-4.h> +#include <math-emu/op-8.h> +#include <math-emu/op-common.h> + +/* Sigh. Silly things longlong.h needs. */ +#define UWtype _FP_W_TYPE +#define W_TYPE_SIZE _FP_W_TYPE_SIZE + +typedef int SItype __attribute__((mode(SI))); +typedef int DItype __attribute__((mode(DI))); +typedef unsigned int USItype __attribute__((mode(SI))); +typedef unsigned int UDItype __attribute__((mode(DI))); +#if _FP_W_TYPE_SIZE == 32 +typedef unsigned int UHWtype __attribute__((mode(HI))); +#elif _FP_W_TYPE_SIZE == 64 +typedef USItype UHWtype; +#endif + +#ifndef umul_ppmm +#include <stdlib/longlong.h> +#endif + +#endif /* __MATH_EMU_SOFT_FP_H__ */ |