diff options
| author | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
|---|---|---|
| committer | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
| commit | 1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch) | |
| tree | 0bba044c4ce775e45a88a51686b5d9f90697ea9d /include/math-emu | |
Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history,
even though we have it. We can create a separate "historical" git
archive of that later if we want to, and in the meantime it's about
3.2GB when imported into git - space that would just make the early
git days unnecessarily complicated, when we don't have a lot of good
infrastructure for it.
Let it rip!
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 000000000000..655ccf1c4739 --- /dev/null +++ b/include/math-emu/double.h | |||
| @@ -0,0 +1,205 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Definitions for IEEE Double Precision | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_DOUBLE_H__ | ||
| 26 | #define __MATH_EMU_DOUBLE_H__ | ||
| 27 | |||
| 28 | #if _FP_W_TYPE_SIZE < 32 | ||
| 29 | #error "Here's a nickel kid. Go buy yourself a real computer." | ||
| 30 | #endif | ||
| 31 | |||
| 32 | #if _FP_W_TYPE_SIZE < 64 | ||
| 33 | #define _FP_FRACTBITS_D (2 * _FP_W_TYPE_SIZE) | ||
| 34 | #else | ||
| 35 | #define _FP_FRACTBITS_D _FP_W_TYPE_SIZE | ||
| 36 | #endif | ||
| 37 | |||
| 38 | #define _FP_FRACBITS_D 53 | ||
| 39 | #define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D) | ||
| 40 | #define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D) | ||
| 41 | #define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D) | ||
| 42 | #define _FP_EXPBITS_D 11 | ||
| 43 | #define _FP_EXPBIAS_D 1023 | ||
| 44 | #define _FP_EXPMAX_D 2047 | ||
| 45 | |||
| 46 | #define _FP_QNANBIT_D \ | ||
| 47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE) | ||
| 48 | #define _FP_IMPLBIT_D \ | ||
| 49 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE) | ||
| 50 | #define _FP_OVERFLOW_D \ | ||
| 51 | ((_FP_W_TYPE)1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE) | ||
| 52 | |||
| 53 | #if _FP_W_TYPE_SIZE < 64 | ||
| 54 | |||
| 55 | union _FP_UNION_D | ||
| 56 | { | ||
| 57 | double flt; | ||
| 58 | struct { | ||
| 59 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 60 | unsigned sign : 1; | ||
| 61 | unsigned exp : _FP_EXPBITS_D; | ||
| 62 | unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; | ||
| 63 | unsigned frac0 : _FP_W_TYPE_SIZE; | ||
| 64 | #else | ||
| 65 | unsigned frac0 : _FP_W_TYPE_SIZE; | ||
| 66 | unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; | ||
| 67 | unsigned exp : _FP_EXPBITS_D; | ||
| 68 | unsigned sign : 1; | ||
| 69 | #endif | ||
| 70 | } bits __attribute__((packed)); | ||
| 71 | }; | ||
| 72 | |||
| 73 | #define FP_DECL_D(X) _FP_DECL(2,X) | ||
| 74 | #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_2(D,X,val) | ||
| 75 | #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_2_P(D,X,val) | ||
| 76 | #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_2(D,val,X) | ||
| 77 | #define FP_PACK_RAW_DP(val,X) \ | ||
| 78 | do { \ | ||
| 79 | if (!FP_INHIBIT_RESULTS) \ | ||
| 80 | _FP_PACK_RAW_2_P(D,val,X); \ | ||
| 81 | } while (0) | ||
| 82 | |||
| 83 | #define FP_UNPACK_D(X,val) \ | ||
| 84 | do { \ | ||
| 85 | _FP_UNPACK_RAW_2(D,X,val); \ | ||
| 86 | _FP_UNPACK_CANONICAL(D,2,X); \ | ||
| 87 | } while (0) | ||
| 88 | |||
| 89 | #define FP_UNPACK_DP(X,val) \ | ||
| 90 | do { \ | ||
| 91 | _FP_UNPACK_RAW_2_P(D,X,val); \ | ||
| 92 | _FP_UNPACK_CANONICAL(D,2,X); \ | ||
| 93 | } while (0) | ||
| 94 | |||
| 95 | #define FP_PACK_D(val,X) \ | ||
| 96 | do { \ | ||
| 97 | _FP_PACK_CANONICAL(D,2,X); \ | ||
| 98 | _FP_PACK_RAW_2(D,val,X); \ | ||
| 99 | } while (0) | ||
| 100 | |||
| 101 | #define FP_PACK_DP(val,X) \ | ||
| 102 | do { \ | ||
| 103 | _FP_PACK_CANONICAL(D,2,X); \ | ||
| 104 | if (!FP_INHIBIT_RESULTS) \ | ||
| 105 | _FP_PACK_RAW_2_P(D,val,X); \ | ||
| 106 | } while (0) | ||
| 107 | |||
| 108 | #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,2,X) | ||
| 109 | #define FP_NEG_D(R,X) _FP_NEG(D,2,R,X) | ||
| 110 | #define FP_ADD_D(R,X,Y) _FP_ADD(D,2,R,X,Y) | ||
| 111 | #define FP_SUB_D(R,X,Y) _FP_SUB(D,2,R,X,Y) | ||
| 112 | #define FP_MUL_D(R,X,Y) _FP_MUL(D,2,R,X,Y) | ||
| 113 | #define FP_DIV_D(R,X,Y) _FP_DIV(D,2,R,X,Y) | ||
| 114 | #define FP_SQRT_D(R,X) _FP_SQRT(D,2,R,X) | ||
| 115 | #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) | ||
| 116 | |||
| 117 | #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,2,r,X,Y,un) | ||
| 118 | #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,2,r,X,Y) | ||
| 119 | |||
| 120 | #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,2,r,X,rsz,rsg) | ||
| 121 | #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,2,r,X,rsz,rsg) | ||
| 122 | #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,2,X,r,rs,rt) | ||
| 123 | |||
| 124 | #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2(X) | ||
| 125 | #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2(X) | ||
| 126 | |||
| 127 | #else | ||
| 128 | |||
| 129 | union _FP_UNION_D | ||
| 130 | { | ||
| 131 | double flt; | ||
| 132 | struct { | ||
| 133 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 134 | unsigned sign : 1; | ||
| 135 | unsigned exp : _FP_EXPBITS_D; | ||
| 136 | unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); | ||
| 137 | #else | ||
| 138 | unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); | ||
| 139 | unsigned exp : _FP_EXPBITS_D; | ||
| 140 | unsigned sign : 1; | ||
| 141 | #endif | ||
| 142 | } bits __attribute__((packed)); | ||
| 143 | }; | ||
| 144 | |||
| 145 | #define FP_DECL_D(X) _FP_DECL(1,X) | ||
| 146 | #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_1(D,X,val) | ||
| 147 | #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_1_P(D,X,val) | ||
| 148 | #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_1(D,val,X) | ||
| 149 | #define FP_PACK_RAW_DP(val,X) \ | ||
| 150 | do { \ | ||
| 151 | if (!FP_INHIBIT_RESULTS) \ | ||
| 152 | _FP_PACK_RAW_1_P(D,val,X); \ | ||
| 153 | } while (0) | ||
| 154 | |||
| 155 | #define FP_UNPACK_D(X,val) \ | ||
| 156 | do { \ | ||
| 157 | _FP_UNPACK_RAW_1(D,X,val); \ | ||
| 158 | _FP_UNPACK_CANONICAL(D,1,X); \ | ||
| 159 | } while (0) | ||
| 160 | |||
| 161 | #define FP_UNPACK_DP(X,val) \ | ||
| 162 | do { \ | ||
| 163 | _FP_UNPACK_RAW_1_P(D,X,val); \ | ||
| 164 | _FP_UNPACK_CANONICAL(D,1,X); \ | ||
| 165 | } while (0) | ||
| 166 | |||
| 167 | #define FP_PACK_D(val,X) \ | ||
| 168 | do { \ | ||
| 169 | _FP_PACK_CANONICAL(D,1,X); \ | ||
| 170 | _FP_PACK_RAW_1(D,val,X); \ | ||
| 171 | } while (0) | ||
| 172 | |||
| 173 | #define FP_PACK_DP(val,X) \ | ||
| 174 | do { \ | ||
| 175 | _FP_PACK_CANONICAL(D,1,X); \ | ||
| 176 | if (!FP_INHIBIT_RESULTS) \ | ||
| 177 | _FP_PACK_RAW_1_P(D,val,X); \ | ||
| 178 | } while (0) | ||
| 179 | |||
| 180 | #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,1,X) | ||
| 181 | #define FP_NEG_D(R,X) _FP_NEG(D,1,R,X) | ||
| 182 | #define FP_ADD_D(R,X,Y) _FP_ADD(D,1,R,X,Y) | ||
| 183 | #define FP_SUB_D(R,X,Y) _FP_SUB(D,1,R,X,Y) | ||
| 184 | #define FP_MUL_D(R,X,Y) _FP_MUL(D,1,R,X,Y) | ||
| 185 | #define FP_DIV_D(R,X,Y) _FP_DIV(D,1,R,X,Y) | ||
| 186 | #define FP_SQRT_D(R,X) _FP_SQRT(D,1,R,X) | ||
| 187 | #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) | ||
| 188 | |||
| 189 | /* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by | ||
| 190 | the target machine. */ | ||
| 191 | |||
| 192 | #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,1,r,X,Y,un) | ||
| 193 | #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,1,r,X,Y) | ||
| 194 | |||
| 195 | #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,1,r,X,rsz,rsg) | ||
| 196 | #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,1,r,X,rsz,rsg) | ||
| 197 | #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,1,X,r,rs,rt) | ||
| 198 | |||
| 199 | #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1(X) | ||
| 200 | #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1(X) | ||
| 201 | |||
| 202 | #endif /* W_TYPE_SIZE < 64 */ | ||
| 203 | |||
| 204 | |||
| 205 | #endif /* __MATH_EMU_DOUBLE_H__ */ | ||
diff --git a/include/math-emu/extended.h b/include/math-emu/extended.h new file mode 100644 index 000000000000..84770fceb53e --- /dev/null +++ b/include/math-emu/extended.h | |||
| @@ -0,0 +1,396 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Definitions for IEEE Extended Precision. | ||
| 3 | Copyright (C) 1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Jakub Jelinek (jj@ultra.linux.cz). | ||
| 6 | |||
| 7 | The GNU C Library is free software; you can redistribute it and/or | ||
| 8 | modify it under the terms of the GNU Library General Public License as | ||
| 9 | published by the Free Software Foundation; either version 2 of the | ||
| 10 | License, or (at your option) any later version. | ||
| 11 | |||
| 12 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 15 | Library General Public License for more details. | ||
| 16 | |||
| 17 | You should have received a copy of the GNU Library General Public | ||
| 18 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 19 | not, write to the Free Software Foundation, Inc., | ||
| 20 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 21 | |||
| 22 | |||
| 23 | #ifndef __MATH_EMU_EXTENDED_H__ | ||
| 24 | #define __MATH_EMU_EXTENDED_H__ | ||
| 25 | |||
| 26 | #if _FP_W_TYPE_SIZE < 32 | ||
| 27 | #error "Here's a nickel, kid. Go buy yourself a real computer." | ||
| 28 | #endif | ||
| 29 | |||
| 30 | #if _FP_W_TYPE_SIZE < 64 | ||
| 31 | #define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE) | ||
| 32 | #else | ||
| 33 | #define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE) | ||
| 34 | #endif | ||
| 35 | |||
| 36 | #define _FP_FRACBITS_E 64 | ||
| 37 | #define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E) | ||
| 38 | #define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E) | ||
| 39 | #define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E) | ||
| 40 | #define _FP_EXPBITS_E 15 | ||
| 41 | #define _FP_EXPBIAS_E 16383 | ||
| 42 | #define _FP_EXPMAX_E 32767 | ||
| 43 | |||
| 44 | #define _FP_QNANBIT_E \ | ||
| 45 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE) | ||
| 46 | #define _FP_IMPLBIT_E \ | ||
| 47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE) | ||
| 48 | #define _FP_OVERFLOW_E \ | ||
| 49 | ((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE)) | ||
| 50 | |||
| 51 | #if _FP_W_TYPE_SIZE < 64 | ||
| 52 | |||
| 53 | union _FP_UNION_E | ||
| 54 | { | ||
| 55 | long double flt; | ||
| 56 | struct | ||
| 57 | { | ||
| 58 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 59 | unsigned long pad1 : _FP_W_TYPE_SIZE; | ||
| 60 | unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); | ||
| 61 | unsigned long sign : 1; | ||
| 62 | unsigned long exp : _FP_EXPBITS_E; | ||
| 63 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
| 64 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 65 | #else | ||
| 66 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 67 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
| 68 | unsigned exp : _FP_EXPBITS_E; | ||
| 69 | unsigned sign : 1; | ||
| 70 | #endif /* not bigendian */ | ||
| 71 | } bits __attribute__((packed)); | ||
| 72 | }; | ||
| 73 | |||
| 74 | |||
| 75 | #define FP_DECL_E(X) _FP_DECL(4,X) | ||
| 76 | |||
| 77 | #define FP_UNPACK_RAW_E(X, val) \ | ||
| 78 | do { \ | ||
| 79 | union _FP_UNION_E _flo; _flo.flt = (val); \ | ||
| 80 | \ | ||
| 81 | X##_f[2] = 0; X##_f[3] = 0; \ | ||
| 82 | X##_f[0] = _flo.bits.frac0; \ | ||
| 83 | X##_f[1] = _flo.bits.frac1; \ | ||
| 84 | X##_e = _flo.bits.exp; \ | ||
| 85 | X##_s = _flo.bits.sign; \ | ||
| 86 | if (!X##_e && (X##_f[1] || X##_f[0]) \ | ||
| 87 | && !(X##_f[1] & _FP_IMPLBIT_E)) \ | ||
| 88 | { \ | ||
| 89 | X##_e++; \ | ||
| 90 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
| 91 | } \ | ||
| 92 | } while (0) | ||
| 93 | |||
| 94 | #define FP_UNPACK_RAW_EP(X, val) \ | ||
| 95 | do { \ | ||
| 96 | union _FP_UNION_E *_flo = \ | ||
| 97 | (union _FP_UNION_E *)(val); \ | ||
| 98 | \ | ||
| 99 | X##_f[2] = 0; X##_f[3] = 0; \ | ||
| 100 | X##_f[0] = _flo->bits.frac0; \ | ||
| 101 | X##_f[1] = _flo->bits.frac1; \ | ||
| 102 | X##_e = _flo->bits.exp; \ | ||
| 103 | X##_s = _flo->bits.sign; \ | ||
| 104 | if (!X##_e && (X##_f[1] || X##_f[0]) \ | ||
| 105 | && !(X##_f[1] & _FP_IMPLBIT_E)) \ | ||
| 106 | { \ | ||
| 107 | X##_e++; \ | ||
| 108 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
| 109 | } \ | ||
| 110 | } while (0) | ||
| 111 | |||
| 112 | #define FP_PACK_RAW_E(val, X) \ | ||
| 113 | do { \ | ||
| 114 | union _FP_UNION_E _flo; \ | ||
| 115 | \ | ||
| 116 | if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ | ||
| 117 | else X##_f[1] &= ~(_FP_IMPLBIT_E); \ | ||
| 118 | _flo.bits.frac0 = X##_f[0]; \ | ||
| 119 | _flo.bits.frac1 = X##_f[1]; \ | ||
| 120 | _flo.bits.exp = X##_e; \ | ||
| 121 | _flo.bits.sign = X##_s; \ | ||
| 122 | \ | ||
| 123 | (val) = _flo.flt; \ | ||
| 124 | } while (0) | ||
| 125 | |||
| 126 | #define FP_PACK_RAW_EP(val, X) \ | ||
| 127 | do { \ | ||
| 128 | if (!FP_INHIBIT_RESULTS) \ | ||
| 129 | { \ | ||
| 130 | union _FP_UNION_E *_flo = \ | ||
| 131 | (union _FP_UNION_E *)(val); \ | ||
| 132 | \ | ||
| 133 | if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ | ||
| 134 | else X##_f[1] &= ~(_FP_IMPLBIT_E); \ | ||
| 135 | _flo->bits.frac0 = X##_f[0]; \ | ||
| 136 | _flo->bits.frac1 = X##_f[1]; \ | ||
| 137 | _flo->bits.exp = X##_e; \ | ||
| 138 | _flo->bits.sign = X##_s; \ | ||
| 139 | } \ | ||
| 140 | } while (0) | ||
| 141 | |||
| 142 | #define FP_UNPACK_E(X,val) \ | ||
| 143 | do { \ | ||
| 144 | FP_UNPACK_RAW_E(X,val); \ | ||
| 145 | _FP_UNPACK_CANONICAL(E,4,X); \ | ||
| 146 | } while (0) | ||
| 147 | |||
| 148 | #define FP_UNPACK_EP(X,val) \ | ||
| 149 | do { \ | ||
| 150 | FP_UNPACK_RAW_2_P(X,val); \ | ||
| 151 | _FP_UNPACK_CANONICAL(E,4,X); \ | ||
| 152 | } while (0) | ||
| 153 | |||
| 154 | #define FP_PACK_E(val,X) \ | ||
| 155 | do { \ | ||
| 156 | _FP_PACK_CANONICAL(E,4,X); \ | ||
| 157 | FP_PACK_RAW_E(val,X); \ | ||
| 158 | } while (0) | ||
| 159 | |||
| 160 | #define FP_PACK_EP(val,X) \ | ||
| 161 | do { \ | ||
| 162 | _FP_PACK_CANONICAL(E,4,X); \ | ||
| 163 | FP_PACK_RAW_EP(val,X); \ | ||
| 164 | } while (0) | ||
| 165 | |||
| 166 | #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X) | ||
| 167 | #define FP_NEG_E(R,X) _FP_NEG(E,4,R,X) | ||
| 168 | #define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y) | ||
| 169 | #define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y) | ||
| 170 | #define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y) | ||
| 171 | #define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y) | ||
| 172 | #define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X) | ||
| 173 | |||
| 174 | /* | ||
| 175 | * Square root algorithms: | ||
| 176 | * We have just one right now, maybe Newton approximation | ||
| 177 | * should be added for those machines where division is fast. | ||
| 178 | * This has special _E version because standard _4 square | ||
| 179 | * root would not work (it has to start normally with the | ||
| 180 | * second word and not the first), but as we have to do it | ||
| 181 | * anyway, we optimize it by doing most of the calculations | ||
| 182 | * in two UWtype registers instead of four. | ||
| 183 | */ | ||
| 184 | |||
| 185 | #define _FP_SQRT_MEAT_E(R, S, T, X, q) \ | ||
| 186 | do { \ | ||
| 187 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 188 | _FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \ | ||
| 189 | while (q) \ | ||
| 190 | { \ | ||
| 191 | T##_f[1] = S##_f[1] + q; \ | ||
| 192 | if (T##_f[1] <= X##_f[1]) \ | ||
| 193 | { \ | ||
| 194 | S##_f[1] = T##_f[1] + q; \ | ||
| 195 | X##_f[1] -= T##_f[1]; \ | ||
| 196 | R##_f[1] += q; \ | ||
| 197 | } \ | ||
| 198 | _FP_FRAC_SLL_2(X, 1); \ | ||
| 199 | q >>= 1; \ | ||
| 200 | } \ | ||
| 201 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 202 | while (q) \ | ||
| 203 | { \ | ||
| 204 | T##_f[0] = S##_f[0] + q; \ | ||
| 205 | T##_f[1] = S##_f[1]; \ | ||
| 206 | if (T##_f[1] < X##_f[1] || \ | ||
| 207 | (T##_f[1] == X##_f[1] && \ | ||
| 208 | T##_f[0] <= X##_f[0])) \ | ||
| 209 | { \ | ||
| 210 | S##_f[0] = T##_f[0] + q; \ | ||
| 211 | S##_f[1] += (T##_f[0] > S##_f[0]); \ | ||
| 212 | _FP_FRAC_DEC_2(X, T); \ | ||
| 213 | R##_f[0] += q; \ | ||
| 214 | } \ | ||
| 215 | _FP_FRAC_SLL_2(X, 1); \ | ||
| 216 | q >>= 1; \ | ||
| 217 | } \ | ||
| 218 | _FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \ | ||
| 219 | if (X##_f[0] | X##_f[1]) \ | ||
| 220 | { \ | ||
| 221 | if (S##_f[1] < X##_f[1] || \ | ||
| 222 | (S##_f[1] == X##_f[1] && \ | ||
| 223 | S##_f[0] < X##_f[0])) \ | ||
| 224 | R##_f[0] |= _FP_WORK_ROUND; \ | ||
| 225 | R##_f[0] |= _FP_WORK_STICKY; \ | ||
| 226 | } \ | ||
| 227 | } while (0) | ||
| 228 | |||
| 229 | #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un) | ||
| 230 | #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y) | ||
| 231 | |||
| 232 | #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg) | ||
| 233 | #define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,4,r,X,rsz,rsg) | ||
| 234 | #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt) | ||
| 235 | |||
| 236 | #define _FP_FRAC_HIGH_E(X) (X##_f[2]) | ||
| 237 | #define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1]) | ||
| 238 | |||
| 239 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 240 | union _FP_UNION_E | ||
| 241 | { | ||
| 242 | long double flt /* __attribute__((mode(TF))) */ ; | ||
| 243 | struct { | ||
| 244 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 245 | unsigned long pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); | ||
| 246 | unsigned sign : 1; | ||
| 247 | unsigned exp : _FP_EXPBITS_E; | ||
| 248 | unsigned long frac : _FP_W_TYPE_SIZE; | ||
| 249 | #else | ||
| 250 | unsigned long frac : _FP_W_TYPE_SIZE; | ||
| 251 | unsigned exp : _FP_EXPBITS_E; | ||
| 252 | unsigned sign : 1; | ||
| 253 | #endif | ||
| 254 | } bits; | ||
| 255 | }; | ||
| 256 | |||
| 257 | #define FP_DECL_E(X) _FP_DECL(2,X) | ||
| 258 | |||
| 259 | #define FP_UNPACK_RAW_E(X, val) \ | ||
| 260 | do { \ | ||
| 261 | union _FP_UNION_E _flo; _flo.flt = (val); \ | ||
| 262 | \ | ||
| 263 | X##_f0 = _flo.bits.frac; \ | ||
| 264 | X##_f1 = 0; \ | ||
| 265 | X##_e = _flo.bits.exp; \ | ||
| 266 | X##_s = _flo.bits.sign; \ | ||
| 267 | if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ | ||
| 268 | { \ | ||
| 269 | X##_e++; \ | ||
| 270 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
| 271 | } \ | ||
| 272 | } while (0) | ||
| 273 | |||
| 274 | #define FP_UNPACK_RAW_EP(X, val) \ | ||
| 275 | do { \ | ||
| 276 | union _FP_UNION_E *_flo = \ | ||
| 277 | (union _FP_UNION_E *)(val); \ | ||
| 278 | \ | ||
| 279 | X##_f0 = _flo->bits.frac; \ | ||
| 280 | X##_f1 = 0; \ | ||
| 281 | X##_e = _flo->bits.exp; \ | ||
| 282 | X##_s = _flo->bits.sign; \ | ||
| 283 | if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ | ||
| 284 | { \ | ||
| 285 | X##_e++; \ | ||
| 286 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
| 287 | } \ | ||
| 288 | } while (0) | ||
| 289 | |||
| 290 | #define FP_PACK_RAW_E(val, X) \ | ||
| 291 | do { \ | ||
| 292 | union _FP_UNION_E _flo; \ | ||
| 293 | \ | ||
| 294 | if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ | ||
| 295 | else X##_f0 &= ~(_FP_IMPLBIT_E); \ | ||
| 296 | _flo.bits.frac = X##_f0; \ | ||
| 297 | _flo.bits.exp = X##_e; \ | ||
| 298 | _flo.bits.sign = X##_s; \ | ||
| 299 | \ | ||
| 300 | (val) = _flo.flt; \ | ||
| 301 | } while (0) | ||
| 302 | |||
| 303 | #define FP_PACK_RAW_EP(fs, val, X) \ | ||
| 304 | do { \ | ||
| 305 | if (!FP_INHIBIT_RESULTS) \ | ||
| 306 | { \ | ||
| 307 | union _FP_UNION_E *_flo = \ | ||
| 308 | (union _FP_UNION_E *)(val); \ | ||
| 309 | \ | ||
| 310 | if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ | ||
| 311 | else X##_f0 &= ~(_FP_IMPLBIT_E); \ | ||
| 312 | _flo->bits.frac = X##_f0; \ | ||
| 313 | _flo->bits.exp = X##_e; \ | ||
| 314 | _flo->bits.sign = X##_s; \ | ||
| 315 | } \ | ||
| 316 | } while (0) | ||
| 317 | |||
| 318 | |||
| 319 | #define FP_UNPACK_E(X,val) \ | ||
| 320 | do { \ | ||
| 321 | FP_UNPACK_RAW_E(X,val); \ | ||
| 322 | _FP_UNPACK_CANONICAL(E,2,X); \ | ||
| 323 | } while (0) | ||
| 324 | |||
| 325 | #define FP_UNPACK_EP(X,val) \ | ||
| 326 | do { \ | ||
| 327 | FP_UNPACK_RAW_EP(X,val); \ | ||
| 328 | _FP_UNPACK_CANONICAL(E,2,X); \ | ||
| 329 | } while (0) | ||
| 330 | |||
| 331 | #define FP_PACK_E(val,X) \ | ||
| 332 | do { \ | ||
| 333 | _FP_PACK_CANONICAL(E,2,X); \ | ||
| 334 | FP_PACK_RAW_E(val,X); \ | ||
| 335 | } while (0) | ||
| 336 | |||
| 337 | #define FP_PACK_EP(val,X) \ | ||
| 338 | do { \ | ||
| 339 | _FP_PACK_CANONICAL(E,2,X); \ | ||
| 340 | FP_PACK_RAW_EP(val,X); \ | ||
| 341 | } while (0) | ||
| 342 | |||
| 343 | #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X) | ||
| 344 | #define FP_NEG_E(R,X) _FP_NEG(E,2,R,X) | ||
| 345 | #define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y) | ||
| 346 | #define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y) | ||
| 347 | #define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y) | ||
| 348 | #define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y) | ||
| 349 | #define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X) | ||
| 350 | |||
| 351 | /* | ||
| 352 | * Square root algorithms: | ||
| 353 | * We have just one right now, maybe Newton approximation | ||
| 354 | * should be added for those machines where division is fast. | ||
| 355 | * We optimize it by doing most of the calculations | ||
| 356 | * in one UWtype registers instead of two, although we don't | ||
| 357 | * have to. | ||
| 358 | */ | ||
| 359 | #define _FP_SQRT_MEAT_E(R, S, T, X, q) \ | ||
| 360 | do { \ | ||
| 361 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 362 | _FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \ | ||
| 363 | while (q) \ | ||
| 364 | { \ | ||
| 365 | T##_f0 = S##_f0 + q; \ | ||
| 366 | if (T##_f0 <= X##_f0) \ | ||
| 367 | { \ | ||
| 368 | S##_f0 = T##_f0 + q; \ | ||
| 369 | X##_f0 -= T##_f0; \ | ||
| 370 | R##_f0 += q; \ | ||
| 371 | } \ | ||
| 372 | _FP_FRAC_SLL_1(X, 1); \ | ||
| 373 | q >>= 1; \ | ||
| 374 | } \ | ||
| 375 | _FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \ | ||
| 376 | if (X##_f0) \ | ||
| 377 | { \ | ||
| 378 | if (S##_f0 < X##_f0) \ | ||
| 379 | R##_f0 |= _FP_WORK_ROUND; \ | ||
| 380 | R##_f0 |= _FP_WORK_STICKY; \ | ||
| 381 | } \ | ||
| 382 | } while (0) | ||
| 383 | |||
| 384 | #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un) | ||
| 385 | #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y) | ||
| 386 | |||
| 387 | #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg) | ||
| 388 | #define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,2,r,X,rsz,rsg) | ||
| 389 | #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt) | ||
| 390 | |||
| 391 | #define _FP_FRAC_HIGH_E(X) (X##_f1) | ||
| 392 | #define _FP_FRAC_HIGH_RAW_E(X) (X##_f0) | ||
| 393 | |||
| 394 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 395 | |||
| 396 | #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 000000000000..3be3bb422cbe --- /dev/null +++ b/include/math-emu/op-1.h | |||
| @@ -0,0 +1,303 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Basic one-word fraction declaration and manipulation. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_OP_1_H__ | ||
| 26 | #define __MATH_EMU_OP_1_H__ | ||
| 27 | |||
| 28 | #define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f=0 | ||
| 29 | #define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) | ||
| 30 | #define _FP_FRAC_SET_1(X,I) (X##_f = I) | ||
| 31 | #define _FP_FRAC_HIGH_1(X) (X##_f) | ||
| 32 | #define _FP_FRAC_LOW_1(X) (X##_f) | ||
| 33 | #define _FP_FRAC_WORD_1(X,w) (X##_f) | ||
| 34 | |||
| 35 | #define _FP_FRAC_ADDI_1(X,I) (X##_f += I) | ||
| 36 | #define _FP_FRAC_SLL_1(X,N) \ | ||
| 37 | do { \ | ||
| 38 | if (__builtin_constant_p(N) && (N) == 1) \ | ||
| 39 | X##_f += X##_f; \ | ||
| 40 | else \ | ||
| 41 | X##_f <<= (N); \ | ||
| 42 | } while (0) | ||
| 43 | #define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) | ||
| 44 | |||
| 45 | /* Right shift with sticky-lsb. */ | ||
| 46 | #define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) | ||
| 47 | |||
| 48 | #define __FP_FRAC_SRS_1(X,N,sz) \ | ||
| 49 | (X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ | ||
| 50 | ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) | ||
| 51 | |||
| 52 | #define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) | ||
| 53 | #define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) | ||
| 54 | #define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) | ||
| 55 | #define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) | ||
| 56 | |||
| 57 | /* Predicates */ | ||
| 58 | #define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) | ||
| 59 | #define _FP_FRAC_ZEROP_1(X) (X##_f == 0) | ||
| 60 | #define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) | ||
| 61 | #define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) | ||
| 62 | #define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) | ||
| 63 | #define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) | ||
| 64 | #define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) | ||
| 65 | |||
| 66 | #define _FP_ZEROFRAC_1 0 | ||
| 67 | #define _FP_MINFRAC_1 1 | ||
| 68 | #define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) | ||
| 69 | |||
| 70 | /* | ||
| 71 | * Unpack the raw bits of a native fp value. Do not classify or | ||
| 72 | * normalize the data. | ||
| 73 | */ | ||
| 74 | |||
| 75 | #define _FP_UNPACK_RAW_1(fs, X, val) \ | ||
| 76 | do { \ | ||
| 77 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | ||
| 78 | \ | ||
| 79 | X##_f = _flo.bits.frac; \ | ||
| 80 | X##_e = _flo.bits.exp; \ | ||
| 81 | X##_s = _flo.bits.sign; \ | ||
| 82 | } while (0) | ||
| 83 | |||
| 84 | #define _FP_UNPACK_RAW_1_P(fs, X, val) \ | ||
| 85 | do { \ | ||
| 86 | union _FP_UNION_##fs *_flo = \ | ||
| 87 | (union _FP_UNION_##fs *)(val); \ | ||
| 88 | \ | ||
| 89 | X##_f = _flo->bits.frac; \ | ||
| 90 | X##_e = _flo->bits.exp; \ | ||
| 91 | X##_s = _flo->bits.sign; \ | ||
| 92 | } while (0) | ||
| 93 | |||
| 94 | /* | ||
| 95 | * Repack the raw bits of a native fp value. | ||
| 96 | */ | ||
| 97 | |||
| 98 | #define _FP_PACK_RAW_1(fs, val, X) \ | ||
| 99 | do { \ | ||
| 100 | union _FP_UNION_##fs _flo; \ | ||
| 101 | \ | ||
| 102 | _flo.bits.frac = X##_f; \ | ||
| 103 | _flo.bits.exp = X##_e; \ | ||
| 104 | _flo.bits.sign = X##_s; \ | ||
| 105 | \ | ||
| 106 | (val) = _flo.flt; \ | ||
| 107 | } while (0) | ||
| 108 | |||
| 109 | #define _FP_PACK_RAW_1_P(fs, val, X) \ | ||
| 110 | do { \ | ||
| 111 | union _FP_UNION_##fs *_flo = \ | ||
| 112 | (union _FP_UNION_##fs *)(val); \ | ||
| 113 | \ | ||
| 114 | _flo->bits.frac = X##_f; \ | ||
| 115 | _flo->bits.exp = X##_e; \ | ||
| 116 | _flo->bits.sign = X##_s; \ | ||
| 117 | } while (0) | ||
| 118 | |||
| 119 | |||
| 120 | /* | ||
| 121 | * Multiplication algorithms: | ||
| 122 | */ | ||
| 123 | |||
| 124 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | ||
| 125 | multiplication immediately. */ | ||
| 126 | |||
| 127 | #define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ | ||
| 128 | do { \ | ||
| 129 | R##_f = X##_f * Y##_f; \ | ||
| 130 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 131 | were (bit B), we know that the msb of the of the product is \ | ||
| 132 | at either 2B or 2B-1. */ \ | ||
| 133 | _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \ | ||
| 134 | } while (0) | ||
| 135 | |||
| 136 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | ||
| 137 | |||
| 138 | #define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ | ||
| 139 | do { \ | ||
| 140 | _FP_W_TYPE _Z_f0, _Z_f1; \ | ||
| 141 | doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ | ||
| 142 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 143 | were (bit B), we know that the msb of the of the product is \ | ||
| 144 | at either 2B or 2B-1. */ \ | ||
| 145 | _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \ | ||
| 146 | R##_f = _Z_f0; \ | ||
| 147 | } while (0) | ||
| 148 | |||
| 149 | /* Finally, a simple widening multiply algorithm. What fun! */ | ||
| 150 | |||
| 151 | #define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ | ||
| 152 | do { \ | ||
| 153 | _FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ | ||
| 154 | \ | ||
| 155 | /* split the words in half */ \ | ||
| 156 | _xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ | ||
| 157 | _xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | ||
| 158 | _yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ | ||
| 159 | _yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | ||
| 160 | \ | ||
| 161 | /* multiply the pieces */ \ | ||
| 162 | _z_f0 = _xl * _yl; \ | ||
| 163 | _a_f0 = _xh * _yl; \ | ||
| 164 | _a_f1 = _xl * _yh; \ | ||
| 165 | _z_f1 = _xh * _yh; \ | ||
| 166 | \ | ||
| 167 | /* reassemble into two full words */ \ | ||
| 168 | if ((_a_f0 += _a_f1) < _a_f1) \ | ||
| 169 | _z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ | ||
| 170 | _a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ | ||
| 171 | _a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ | ||
| 172 | _FP_FRAC_ADD_2(_z, _z, _a); \ | ||
| 173 | \ | ||
| 174 | /* normalize */ \ | ||
| 175 | _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ | ||
| 176 | R##_f = _z_f0; \ | ||
| 177 | } while (0) | ||
| 178 | |||
| 179 | |||
| 180 | /* | ||
| 181 | * Division algorithms: | ||
| 182 | */ | ||
| 183 | |||
| 184 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | ||
| 185 | division immediately. Give this macro either _FP_DIV_HELP_imm for | ||
| 186 | C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you | ||
| 187 | choose will depend on what the compiler does with divrem4. */ | ||
| 188 | |||
| 189 | #define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ | ||
| 190 | do { \ | ||
| 191 | _FP_W_TYPE _q, _r; \ | ||
| 192 | X##_f <<= (X##_f < Y##_f \ | ||
| 193 | ? R##_e--, _FP_WFRACBITS_##fs \ | ||
| 194 | : _FP_WFRACBITS_##fs - 1); \ | ||
| 195 | doit(_q, _r, X##_f, Y##_f); \ | ||
| 196 | R##_f = _q | (_r != 0); \ | ||
| 197 | } while (0) | ||
| 198 | |||
| 199 | /* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd | ||
| 200 | that may be useful in this situation. This first is for a primitive | ||
| 201 | that requires normalization, the second for one that does not. Look | ||
| 202 | for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ | ||
| 203 | |||
| 204 | #define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ | ||
| 205 | do { \ | ||
| 206 | _FP_W_TYPE _nh, _nl, _q, _r, _y; \ | ||
| 207 | \ | ||
| 208 | /* Normalize Y -- i.e. make the most significant bit set. */ \ | ||
| 209 | _y = Y##_f << _FP_WFRACXBITS_##fs; \ | ||
| 210 | \ | ||
| 211 | /* Shift X op correspondingly high, that is, up one full word. */ \ | ||
| 212 | if (X##_f < Y##_f) \ | ||
| 213 | { \ | ||
| 214 | R##_e--; \ | ||
| 215 | _nl = 0; \ | ||
| 216 | _nh = X##_f; \ | ||
| 217 | } \ | ||
| 218 | else \ | ||
| 219 | { \ | ||
| 220 | _nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ | ||
| 221 | _nh = X##_f >> 1; \ | ||
| 222 | } \ | ||
| 223 | \ | ||
| 224 | udiv_qrnnd(_q, _r, _nh, _nl, _y); \ | ||
| 225 | R##_f = _q | (_r != 0); \ | ||
| 226 | } while (0) | ||
| 227 | |||
| 228 | #define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ | ||
| 229 | do { \ | ||
| 230 | _FP_W_TYPE _nh, _nl, _q, _r; \ | ||
| 231 | if (X##_f < Y##_f) \ | ||
| 232 | { \ | ||
| 233 | R##_e--; \ | ||
| 234 | _nl = X##_f << _FP_WFRACBITS_##fs; \ | ||
| 235 | _nh = X##_f >> _FP_WFRACXBITS_##fs; \ | ||
| 236 | } \ | ||
| 237 | else \ | ||
| 238 | { \ | ||
| 239 | _nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ | ||
| 240 | _nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ | ||
| 241 | } \ | ||
| 242 | udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ | ||
| 243 | R##_f = _q | (_r != 0); \ | ||
| 244 | } while (0) | ||
| 245 | |||
| 246 | |||
| 247 | /* | ||
| 248 | * Square root algorithms: | ||
| 249 | * We have just one right now, maybe Newton approximation | ||
| 250 | * should be added for those machines where division is fast. | ||
| 251 | */ | ||
| 252 | |||
| 253 | #define _FP_SQRT_MEAT_1(R, S, T, X, q) \ | ||
| 254 | do { \ | ||
| 255 | while (q != _FP_WORK_ROUND) \ | ||
| 256 | { \ | ||
| 257 | T##_f = S##_f + q; \ | ||
| 258 | if (T##_f <= X##_f) \ | ||
| 259 | { \ | ||
| 260 | S##_f = T##_f + q; \ | ||
| 261 | X##_f -= T##_f; \ | ||
| 262 | R##_f += q; \ | ||
| 263 | } \ | ||
| 264 | _FP_FRAC_SLL_1(X, 1); \ | ||
| 265 | q >>= 1; \ | ||
| 266 | } \ | ||
| 267 | if (X##_f) \ | ||
| 268 | { \ | ||
| 269 | if (S##_f < X##_f) \ | ||
| 270 | R##_f |= _FP_WORK_ROUND; \ | ||
| 271 | R##_f |= _FP_WORK_STICKY; \ | ||
| 272 | } \ | ||
| 273 | } while (0) | ||
| 274 | |||
| 275 | /* | ||
| 276 | * Assembly/disassembly for converting to/from integral types. | ||
| 277 | * No shifting or overflow handled here. | ||
| 278 | */ | ||
| 279 | |||
| 280 | #define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) | ||
| 281 | #define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) | ||
| 282 | |||
| 283 | |||
| 284 | /* | ||
| 285 | * Convert FP values between word sizes | ||
| 286 | */ | ||
| 287 | |||
| 288 | #define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ | ||
| 289 | do { \ | ||
| 290 | D##_f = S##_f; \ | ||
| 291 | if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ | ||
| 292 | { \ | ||
| 293 | if (S##_c != FP_CLS_NAN) \ | ||
| 294 | _FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ | ||
| 295 | _FP_WFRACBITS_##sfs); \ | ||
| 296 | else \ | ||
| 297 | _FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ | ||
| 298 | } \ | ||
| 299 | else \ | ||
| 300 | D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ | ||
| 301 | } while (0) | ||
| 302 | |||
| 303 | #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 000000000000..e193fb08fd55 --- /dev/null +++ b/include/math-emu/op-2.h | |||
| @@ -0,0 +1,613 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Basic two-word fraction declaration and manipulation. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_OP_2_H__ | ||
| 26 | #define __MATH_EMU_OP_2_H__ | ||
| 27 | |||
| 28 | #define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1 | ||
| 29 | #define _FP_FRAC_COPY_2(D,S) (D##_f0 = S##_f0, D##_f1 = S##_f1) | ||
| 30 | #define _FP_FRAC_SET_2(X,I) __FP_FRAC_SET_2(X, I) | ||
| 31 | #define _FP_FRAC_HIGH_2(X) (X##_f1) | ||
| 32 | #define _FP_FRAC_LOW_2(X) (X##_f0) | ||
| 33 | #define _FP_FRAC_WORD_2(X,w) (X##_f##w) | ||
| 34 | |||
| 35 | #define _FP_FRAC_SLL_2(X,N) \ | ||
| 36 | do { \ | ||
| 37 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
| 38 | { \ | ||
| 39 | if (__builtin_constant_p(N) && (N) == 1) \ | ||
| 40 | { \ | ||
| 41 | X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE)(X##_f0)) < 0); \ | ||
| 42 | X##_f0 += X##_f0; \ | ||
| 43 | } \ | ||
| 44 | else \ | ||
| 45 | { \ | ||
| 46 | X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \ | ||
| 47 | X##_f0 <<= (N); \ | ||
| 48 | } \ | ||
| 49 | } \ | ||
| 50 | else \ | ||
| 51 | { \ | ||
| 52 | X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \ | ||
| 53 | X##_f0 = 0; \ | ||
| 54 | } \ | ||
| 55 | } while (0) | ||
| 56 | |||
| 57 | #define _FP_FRAC_SRL_2(X,N) \ | ||
| 58 | do { \ | ||
| 59 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
| 60 | { \ | ||
| 61 | X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \ | ||
| 62 | X##_f1 >>= (N); \ | ||
| 63 | } \ | ||
| 64 | else \ | ||
| 65 | { \ | ||
| 66 | X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \ | ||
| 67 | X##_f1 = 0; \ | ||
| 68 | } \ | ||
| 69 | } while (0) | ||
| 70 | |||
| 71 | /* Right shift with sticky-lsb. */ | ||
| 72 | #define _FP_FRAC_SRS_2(X,N,sz) \ | ||
| 73 | do { \ | ||
| 74 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
| 75 | { \ | ||
| 76 | X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) | \ | ||
| 77 | (__builtin_constant_p(N) && (N) == 1 \ | ||
| 78 | ? X##_f0 & 1 \ | ||
| 79 | : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \ | ||
| 80 | X##_f1 >>= (N); \ | ||
| 81 | } \ | ||
| 82 | else \ | ||
| 83 | { \ | ||
| 84 | X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \ | ||
| 85 | (((X##_f1 << (2*_FP_W_TYPE_SIZE - (N))) | X##_f0) != 0)); \ | ||
| 86 | X##_f1 = 0; \ | ||
| 87 | } \ | ||
| 88 | } while (0) | ||
| 89 | |||
| 90 | #define _FP_FRAC_ADDI_2(X,I) \ | ||
| 91 | __FP_FRAC_ADDI_2(X##_f1, X##_f0, I) | ||
| 92 | |||
| 93 | #define _FP_FRAC_ADD_2(R,X,Y) \ | ||
| 94 | __FP_FRAC_ADD_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
| 95 | |||
| 96 | #define _FP_FRAC_SUB_2(R,X,Y) \ | ||
| 97 | __FP_FRAC_SUB_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
| 98 | |||
| 99 | #define _FP_FRAC_DEC_2(X,Y) \ | ||
| 100 | __FP_FRAC_DEC_2(X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
| 101 | |||
| 102 | #define _FP_FRAC_CLZ_2(R,X) \ | ||
| 103 | do { \ | ||
| 104 | if (X##_f1) \ | ||
| 105 | __FP_CLZ(R,X##_f1); \ | ||
| 106 | else \ | ||
| 107 | { \ | ||
| 108 | __FP_CLZ(R,X##_f0); \ | ||
| 109 | R += _FP_W_TYPE_SIZE; \ | ||
| 110 | } \ | ||
| 111 | } while(0) | ||
| 112 | |||
| 113 | /* Predicates */ | ||
| 114 | #define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE)X##_f1 < 0) | ||
| 115 | #define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0) | ||
| 116 | #define _FP_FRAC_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs) | ||
| 117 | #define _FP_FRAC_CLEAR_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs) | ||
| 118 | #define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0) | ||
| 119 | #define _FP_FRAC_GT_2(X, Y) \ | ||
| 120 | (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 > Y##_f0)) | ||
| 121 | #define _FP_FRAC_GE_2(X, Y) \ | ||
| 122 | (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 >= Y##_f0)) | ||
| 123 | |||
| 124 | #define _FP_ZEROFRAC_2 0, 0 | ||
| 125 | #define _FP_MINFRAC_2 0, 1 | ||
| 126 | #define _FP_MAXFRAC_2 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0) | ||
| 127 | |||
| 128 | /* | ||
| 129 | * Internals | ||
| 130 | */ | ||
| 131 | |||
| 132 | #define __FP_FRAC_SET_2(X,I1,I0) (X##_f0 = I0, X##_f1 = I1) | ||
| 133 | |||
| 134 | #define __FP_CLZ_2(R, xh, xl) \ | ||
| 135 | do { \ | ||
| 136 | if (xh) \ | ||
| 137 | __FP_CLZ(R,xh); \ | ||
| 138 | else \ | ||
| 139 | { \ | ||
| 140 | __FP_CLZ(R,xl); \ | ||
| 141 | R += _FP_W_TYPE_SIZE; \ | ||
| 142 | } \ | ||
| 143 | } while(0) | ||
| 144 | |||
| 145 | #if 0 | ||
| 146 | |||
| 147 | #ifndef __FP_FRAC_ADDI_2 | ||
| 148 | #define __FP_FRAC_ADDI_2(xh, xl, i) \ | ||
| 149 | (xh += ((xl += i) < i)) | ||
| 150 | #endif | ||
| 151 | #ifndef __FP_FRAC_ADD_2 | ||
| 152 | #define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \ | ||
| 153 | (rh = xh + yh + ((rl = xl + yl) < xl)) | ||
| 154 | #endif | ||
| 155 | #ifndef __FP_FRAC_SUB_2 | ||
| 156 | #define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \ | ||
| 157 | (rh = xh - yh - ((rl = xl - yl) > xl)) | ||
| 158 | #endif | ||
| 159 | #ifndef __FP_FRAC_DEC_2 | ||
| 160 | #define __FP_FRAC_DEC_2(xh, xl, yh, yl) \ | ||
| 161 | do { \ | ||
| 162 | UWtype _t = xl; \ | ||
| 163 | xh -= yh + ((xl -= yl) > _t); \ | ||
| 164 | } while (0) | ||
| 165 | #endif | ||
| 166 | |||
| 167 | #else | ||
| 168 | |||
| 169 | #undef __FP_FRAC_ADDI_2 | ||
| 170 | #define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa(xh, xl, xh, xl, 0, i) | ||
| 171 | #undef __FP_FRAC_ADD_2 | ||
| 172 | #define __FP_FRAC_ADD_2 add_ssaaaa | ||
| 173 | #undef __FP_FRAC_SUB_2 | ||
| 174 | #define __FP_FRAC_SUB_2 sub_ddmmss | ||
| 175 | #undef __FP_FRAC_DEC_2 | ||
| 176 | #define __FP_FRAC_DEC_2(xh, xl, yh, yl) sub_ddmmss(xh, xl, xh, xl, yh, yl) | ||
| 177 | |||
| 178 | #endif | ||
| 179 | |||
| 180 | /* | ||
| 181 | * Unpack the raw bits of a native fp value. Do not classify or | ||
| 182 | * normalize the data. | ||
| 183 | */ | ||
| 184 | |||
| 185 | #define _FP_UNPACK_RAW_2(fs, X, val) \ | ||
| 186 | do { \ | ||
| 187 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | ||
| 188 | \ | ||
| 189 | X##_f0 = _flo.bits.frac0; \ | ||
| 190 | X##_f1 = _flo.bits.frac1; \ | ||
| 191 | X##_e = _flo.bits.exp; \ | ||
| 192 | X##_s = _flo.bits.sign; \ | ||
| 193 | } while (0) | ||
| 194 | |||
| 195 | #define _FP_UNPACK_RAW_2_P(fs, X, val) \ | ||
| 196 | do { \ | ||
| 197 | union _FP_UNION_##fs *_flo = \ | ||
| 198 | (union _FP_UNION_##fs *)(val); \ | ||
| 199 | \ | ||
| 200 | X##_f0 = _flo->bits.frac0; \ | ||
| 201 | X##_f1 = _flo->bits.frac1; \ | ||
| 202 | X##_e = _flo->bits.exp; \ | ||
| 203 | X##_s = _flo->bits.sign; \ | ||
| 204 | } while (0) | ||
| 205 | |||
| 206 | |||
| 207 | /* | ||
| 208 | * Repack the raw bits of a native fp value. | ||
| 209 | */ | ||
| 210 | |||
| 211 | #define _FP_PACK_RAW_2(fs, val, X) \ | ||
| 212 | do { \ | ||
| 213 | union _FP_UNION_##fs _flo; \ | ||
| 214 | \ | ||
| 215 | _flo.bits.frac0 = X##_f0; \ | ||
| 216 | _flo.bits.frac1 = X##_f1; \ | ||
| 217 | _flo.bits.exp = X##_e; \ | ||
| 218 | _flo.bits.sign = X##_s; \ | ||
| 219 | \ | ||
| 220 | (val) = _flo.flt; \ | ||
| 221 | } while (0) | ||
| 222 | |||
| 223 | #define _FP_PACK_RAW_2_P(fs, val, X) \ | ||
| 224 | do { \ | ||
| 225 | union _FP_UNION_##fs *_flo = \ | ||
| 226 | (union _FP_UNION_##fs *)(val); \ | ||
| 227 | \ | ||
| 228 | _flo->bits.frac0 = X##_f0; \ | ||
| 229 | _flo->bits.frac1 = X##_f1; \ | ||
| 230 | _flo->bits.exp = X##_e; \ | ||
| 231 | _flo->bits.sign = X##_s; \ | ||
| 232 | } while (0) | ||
| 233 | |||
| 234 | |||
| 235 | /* | ||
| 236 | * Multiplication algorithms: | ||
| 237 | */ | ||
| 238 | |||
| 239 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | ||
| 240 | |||
| 241 | #define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \ | ||
| 242 | do { \ | ||
| 243 | _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ | ||
| 244 | \ | ||
| 245 | doit(_FP_FRAC_WORD_4(_z,1), _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ | ||
| 246 | doit(_b_f1, _b_f0, X##_f0, Y##_f1); \ | ||
| 247 | doit(_c_f1, _c_f0, X##_f1, Y##_f0); \ | ||
| 248 | doit(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), X##_f1, Y##_f1); \ | ||
| 249 | \ | ||
| 250 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 251 | _FP_FRAC_WORD_4(_z,1), 0, _b_f1, _b_f0, \ | ||
| 252 | _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 253 | _FP_FRAC_WORD_4(_z,1)); \ | ||
| 254 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 255 | _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0, \ | ||
| 256 | _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 257 | _FP_FRAC_WORD_4(_z,1)); \ | ||
| 258 | \ | ||
| 259 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 260 | were (bit B), we know that the msb of the of the product is \ | ||
| 261 | at either 2B or 2B-1. */ \ | ||
| 262 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
| 263 | R##_f0 = _FP_FRAC_WORD_4(_z,0); \ | ||
| 264 | R##_f1 = _FP_FRAC_WORD_4(_z,1); \ | ||
| 265 | } while (0) | ||
| 266 | |||
| 267 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. | ||
| 268 | Do only 3 multiplications instead of four. This one is for machines | ||
| 269 | where multiplication is much more expensive than subtraction. */ | ||
| 270 | |||
| 271 | #define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \ | ||
| 272 | do { \ | ||
| 273 | _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ | ||
| 274 | _FP_W_TYPE _d; \ | ||
| 275 | int _c1, _c2; \ | ||
| 276 | \ | ||
| 277 | _b_f0 = X##_f0 + X##_f1; \ | ||
| 278 | _c1 = _b_f0 < X##_f0; \ | ||
| 279 | _b_f1 = Y##_f0 + Y##_f1; \ | ||
| 280 | _c2 = _b_f1 < Y##_f0; \ | ||
| 281 | doit(_d, _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ | ||
| 282 | doit(_FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1), _b_f0, _b_f1); \ | ||
| 283 | doit(_c_f1, _c_f0, X##_f1, Y##_f1); \ | ||
| 284 | \ | ||
| 285 | _b_f0 &= -_c2; \ | ||
| 286 | _b_f1 &= -_c1; \ | ||
| 287 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 288 | _FP_FRAC_WORD_4(_z,1), (_c1 & _c2), 0, _d, \ | ||
| 289 | 0, _FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1)); \ | ||
| 290 | __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 291 | _b_f0); \ | ||
| 292 | __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 293 | _b_f1); \ | ||
| 294 | __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 295 | _FP_FRAC_WORD_4(_z,1), \ | ||
| 296 | 0, _d, _FP_FRAC_WORD_4(_z,0)); \ | ||
| 297 | __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
| 298 | _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0); \ | ||
| 299 | __FP_FRAC_ADD_2(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), \ | ||
| 300 | _c_f1, _c_f0, \ | ||
| 301 | _FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2)); \ | ||
| 302 | \ | ||
| 303 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 304 | were (bit B), we know that the msb of the of the product is \ | ||
| 305 | at either 2B or 2B-1. */ \ | ||
| 306 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
| 307 | R##_f0 = _FP_FRAC_WORD_4(_z,0); \ | ||
| 308 | R##_f1 = _FP_FRAC_WORD_4(_z,1); \ | ||
| 309 | } while (0) | ||
| 310 | |||
| 311 | #define _FP_MUL_MEAT_2_gmp(wfracbits, R, X, Y) \ | ||
| 312 | do { \ | ||
| 313 | _FP_FRAC_DECL_4(_z); \ | ||
| 314 | _FP_W_TYPE _x[2], _y[2]; \ | ||
| 315 | _x[0] = X##_f0; _x[1] = X##_f1; \ | ||
| 316 | _y[0] = Y##_f0; _y[1] = Y##_f1; \ | ||
| 317 | \ | ||
| 318 | mpn_mul_n(_z_f, _x, _y, 2); \ | ||
| 319 | \ | ||
| 320 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 321 | were (bit B), we know that the msb of the of the product is \ | ||
| 322 | at either 2B or 2B-1. */ \ | ||
| 323 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
| 324 | R##_f0 = _z_f[0]; \ | ||
| 325 | R##_f1 = _z_f[1]; \ | ||
| 326 | } while (0) | ||
| 327 | |||
| 328 | /* Do at most 120x120=240 bits multiplication using double floating | ||
| 329 | point multiplication. This is useful if floating point | ||
| 330 | multiplication has much bigger throughput than integer multiply. | ||
| 331 | It is supposed to work for _FP_W_TYPE_SIZE 64 and wfracbits | ||
| 332 | between 106 and 120 only. | ||
| 333 | Caller guarantees that X and Y has (1LLL << (wfracbits - 1)) set. | ||
| 334 | SETFETZ is a macro which will disable all FPU exceptions and set rounding | ||
| 335 | towards zero, RESETFE should optionally reset it back. */ | ||
| 336 | |||
| 337 | #define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \ | ||
| 338 | do { \ | ||
| 339 | static const double _const[] = { \ | ||
| 340 | /* 2^-24 */ 5.9604644775390625e-08, \ | ||
| 341 | /* 2^-48 */ 3.5527136788005009e-15, \ | ||
| 342 | /* 2^-72 */ 2.1175823681357508e-22, \ | ||
| 343 | /* 2^-96 */ 1.2621774483536189e-29, \ | ||
| 344 | /* 2^28 */ 2.68435456e+08, \ | ||
| 345 | /* 2^4 */ 1.600000e+01, \ | ||
| 346 | /* 2^-20 */ 9.5367431640625e-07, \ | ||
| 347 | /* 2^-44 */ 5.6843418860808015e-14, \ | ||
| 348 | /* 2^-68 */ 3.3881317890172014e-21, \ | ||
| 349 | /* 2^-92 */ 2.0194839173657902e-28, \ | ||
| 350 | /* 2^-116 */ 1.2037062152420224e-35}; \ | ||
| 351 | double _a240, _b240, _c240, _d240, _e240, _f240, \ | ||
| 352 | _g240, _h240, _i240, _j240, _k240; \ | ||
| 353 | union { double d; UDItype i; } _l240, _m240, _n240, _o240, \ | ||
| 354 | _p240, _q240, _r240, _s240; \ | ||
| 355 | UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \ | ||
| 356 | \ | ||
| 357 | if (wfracbits < 106 || wfracbits > 120) \ | ||
| 358 | abort(); \ | ||
| 359 | \ | ||
| 360 | setfetz; \ | ||
| 361 | \ | ||
| 362 | _e240 = (double)(long)(X##_f0 & 0xffffff); \ | ||
| 363 | _j240 = (double)(long)(Y##_f0 & 0xffffff); \ | ||
| 364 | _d240 = (double)(long)((X##_f0 >> 24) & 0xffffff); \ | ||
| 365 | _i240 = (double)(long)((Y##_f0 >> 24) & 0xffffff); \ | ||
| 366 | _c240 = (double)(long)(((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \ | ||
| 367 | _h240 = (double)(long)(((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \ | ||
| 368 | _b240 = (double)(long)((X##_f1 >> 8) & 0xffffff); \ | ||
| 369 | _g240 = (double)(long)((Y##_f1 >> 8) & 0xffffff); \ | ||
| 370 | _a240 = (double)(long)(X##_f1 >> 32); \ | ||
| 371 | _f240 = (double)(long)(Y##_f1 >> 32); \ | ||
| 372 | _e240 *= _const[3]; \ | ||
| 373 | _j240 *= _const[3]; \ | ||
| 374 | _d240 *= _const[2]; \ | ||
| 375 | _i240 *= _const[2]; \ | ||
| 376 | _c240 *= _const[1]; \ | ||
| 377 | _h240 *= _const[1]; \ | ||
| 378 | _b240 *= _const[0]; \ | ||
| 379 | _g240 *= _const[0]; \ | ||
| 380 | _s240.d = _e240*_j240;\ | ||
| 381 | _r240.d = _d240*_j240 + _e240*_i240;\ | ||
| 382 | _q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240;\ | ||
| 383 | _p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240;\ | ||
| 384 | _o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240;\ | ||
| 385 | _n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \ | ||
| 386 | _m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \ | ||
| 387 | _l240.d = _a240*_g240 + _b240*_f240; \ | ||
| 388 | _k240 = _a240*_f240; \ | ||
| 389 | _r240.d += _s240.d; \ | ||
| 390 | _q240.d += _r240.d; \ | ||
| 391 | _p240.d += _q240.d; \ | ||
| 392 | _o240.d += _p240.d; \ | ||
| 393 | _n240.d += _o240.d; \ | ||
| 394 | _m240.d += _n240.d; \ | ||
| 395 | _l240.d += _m240.d; \ | ||
| 396 | _k240 += _l240.d; \ | ||
| 397 | _s240.d -= ((_const[10]+_s240.d)-_const[10]); \ | ||
| 398 | _r240.d -= ((_const[9]+_r240.d)-_const[9]); \ | ||
| 399 | _q240.d -= ((_const[8]+_q240.d)-_const[8]); \ | ||
| 400 | _p240.d -= ((_const[7]+_p240.d)-_const[7]); \ | ||
| 401 | _o240.d += _const[7]; \ | ||
| 402 | _n240.d += _const[6]; \ | ||
| 403 | _m240.d += _const[5]; \ | ||
| 404 | _l240.d += _const[4]; \ | ||
| 405 | if (_s240.d != 0.0) _y240 = 1; \ | ||
| 406 | if (_r240.d != 0.0) _y240 = 1; \ | ||
| 407 | if (_q240.d != 0.0) _y240 = 1; \ | ||
| 408 | if (_p240.d != 0.0) _y240 = 1; \ | ||
| 409 | _t240 = (DItype)_k240; \ | ||
| 410 | _u240 = _l240.i; \ | ||
| 411 | _v240 = _m240.i; \ | ||
| 412 | _w240 = _n240.i; \ | ||
| 413 | _x240 = _o240.i; \ | ||
| 414 | R##_f1 = (_t240 << (128 - (wfracbits - 1))) \ | ||
| 415 | | ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104)); \ | ||
| 416 | R##_f0 = ((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \ | ||
| 417 | | ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \ | ||
| 418 | | ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \ | ||
| 419 | | ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \ | ||
| 420 | | _y240; \ | ||
| 421 | resetfe; \ | ||
| 422 | } while (0) | ||
| 423 | |||
| 424 | /* | ||
| 425 | * Division algorithms: | ||
| 426 | */ | ||
| 427 | |||
| 428 | #define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \ | ||
| 429 | do { \ | ||
| 430 | _FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \ | ||
| 431 | if (_FP_FRAC_GT_2(X, Y)) \ | ||
| 432 | { \ | ||
| 433 | _n_f2 = X##_f1 >> 1; \ | ||
| 434 | _n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \ | ||
| 435 | _n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 436 | } \ | ||
| 437 | else \ | ||
| 438 | { \ | ||
| 439 | R##_e--; \ | ||
| 440 | _n_f2 = X##_f1; \ | ||
| 441 | _n_f1 = X##_f0; \ | ||
| 442 | _n_f0 = 0; \ | ||
| 443 | } \ | ||
| 444 | \ | ||
| 445 | /* Normalize, i.e. make the most significant bit of the \ | ||
| 446 | denominator set. */ \ | ||
| 447 | _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \ | ||
| 448 | \ | ||
| 449 | udiv_qrnnd(R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \ | ||
| 450 | umul_ppmm(_m_f1, _m_f0, R##_f1, Y##_f0); \ | ||
| 451 | _r_f0 = _n_f0; \ | ||
| 452 | if (_FP_FRAC_GT_2(_m, _r)) \ | ||
| 453 | { \ | ||
| 454 | R##_f1--; \ | ||
| 455 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
| 456 | if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ | ||
| 457 | { \ | ||
| 458 | R##_f1--; \ | ||
| 459 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
| 460 | } \ | ||
| 461 | } \ | ||
| 462 | _FP_FRAC_DEC_2(_r, _m); \ | ||
| 463 | \ | ||
| 464 | if (_r_f1 == Y##_f1) \ | ||
| 465 | { \ | ||
| 466 | /* This is a special case, not an optimization \ | ||
| 467 | (_r/Y##_f1 would not fit into UWtype). \ | ||
| 468 | As _r is guaranteed to be < Y, R##_f0 can be either \ | ||
| 469 | (UWtype)-1 or (UWtype)-2. But as we know what kind \ | ||
| 470 | of bits it is (sticky, guard, round), we don't care. \ | ||
| 471 | We also don't care what the reminder is, because the \ | ||
| 472 | guard bit will be set anyway. -jj */ \ | ||
| 473 | R##_f0 = -1; \ | ||
| 474 | } \ | ||
| 475 | else \ | ||
| 476 | { \ | ||
| 477 | udiv_qrnnd(R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \ | ||
| 478 | umul_ppmm(_m_f1, _m_f0, R##_f0, Y##_f0); \ | ||
| 479 | _r_f0 = 0; \ | ||
| 480 | if (_FP_FRAC_GT_2(_m, _r)) \ | ||
| 481 | { \ | ||
| 482 | R##_f0--; \ | ||
| 483 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
| 484 | if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ | ||
| 485 | { \ | ||
| 486 | R##_f0--; \ | ||
| 487 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
| 488 | } \ | ||
| 489 | } \ | ||
| 490 | if (!_FP_FRAC_EQ_2(_r, _m)) \ | ||
| 491 | R##_f0 |= _FP_WORK_STICKY; \ | ||
| 492 | } \ | ||
| 493 | } while (0) | ||
| 494 | |||
| 495 | |||
| 496 | #define _FP_DIV_MEAT_2_gmp(fs, R, X, Y) \ | ||
| 497 | do { \ | ||
| 498 | _FP_W_TYPE _x[4], _y[2], _z[4]; \ | ||
| 499 | _y[0] = Y##_f0; _y[1] = Y##_f1; \ | ||
| 500 | _x[0] = _x[3] = 0; \ | ||
| 501 | if (_FP_FRAC_GT_2(X, Y)) \ | ||
| 502 | { \ | ||
| 503 | R##_e++; \ | ||
| 504 | _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE) | \ | ||
| 505 | X##_f1 >> (_FP_W_TYPE_SIZE - \ | ||
| 506 | (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE))); \ | ||
| 507 | _x[2] = X##_f1 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE); \ | ||
| 508 | } \ | ||
| 509 | else \ | ||
| 510 | { \ | ||
| 511 | _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE) | \ | ||
| 512 | X##_f1 >> (_FP_W_TYPE_SIZE - \ | ||
| 513 | (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE))); \ | ||
| 514 | _x[2] = X##_f1 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE); \ | ||
| 515 | } \ | ||
| 516 | \ | ||
| 517 | (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \ | ||
| 518 | R##_f1 = _z[1]; \ | ||
| 519 | R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \ | ||
| 520 | } while (0) | ||
| 521 | |||
| 522 | |||
| 523 | /* | ||
| 524 | * Square root algorithms: | ||
| 525 | * We have just one right now, maybe Newton approximation | ||
| 526 | * should be added for those machines where division is fast. | ||
| 527 | */ | ||
| 528 | |||
| 529 | #define _FP_SQRT_MEAT_2(R, S, T, X, q) \ | ||
| 530 | do { \ | ||
| 531 | while (q) \ | ||
| 532 | { \ | ||
| 533 | T##_f1 = S##_f1 + q; \ | ||
| 534 | if (T##_f1 <= X##_f1) \ | ||
| 535 | { \ | ||
| 536 | S##_f1 = T##_f1 + q; \ | ||
| 537 | X##_f1 -= T##_f1; \ | ||
| 538 | R##_f1 += q; \ | ||
| 539 | } \ | ||
| 540 | _FP_FRAC_SLL_2(X, 1); \ | ||
| 541 | q >>= 1; \ | ||
| 542 | } \ | ||
| 543 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 544 | while (q != _FP_WORK_ROUND) \ | ||
| 545 | { \ | ||
| 546 | T##_f0 = S##_f0 + q; \ | ||
| 547 | T##_f1 = S##_f1; \ | ||
| 548 | if (T##_f1 < X##_f1 || \ | ||
| 549 | (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \ | ||
| 550 | { \ | ||
| 551 | S##_f0 = T##_f0 + q; \ | ||
| 552 | S##_f1 += (T##_f0 > S##_f0); \ | ||
| 553 | _FP_FRAC_DEC_2(X, T); \ | ||
| 554 | R##_f0 += q; \ | ||
| 555 | } \ | ||
| 556 | _FP_FRAC_SLL_2(X, 1); \ | ||
| 557 | q >>= 1; \ | ||
| 558 | } \ | ||
| 559 | if (X##_f0 | X##_f1) \ | ||
| 560 | { \ | ||
| 561 | if (S##_f1 < X##_f1 || \ | ||
| 562 | (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \ | ||
| 563 | R##_f0 |= _FP_WORK_ROUND; \ | ||
| 564 | R##_f0 |= _FP_WORK_STICKY; \ | ||
| 565 | } \ | ||
| 566 | } while (0) | ||
| 567 | |||
| 568 | |||
| 569 | /* | ||
| 570 | * Assembly/disassembly for converting to/from integral types. | ||
| 571 | * No shifting or overflow handled here. | ||
| 572 | */ | ||
| 573 | |||
| 574 | #define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \ | ||
| 575 | do { \ | ||
| 576 | if (rsize <= _FP_W_TYPE_SIZE) \ | ||
| 577 | r = X##_f0; \ | ||
| 578 | else \ | ||
| 579 | { \ | ||
| 580 | r = X##_f1; \ | ||
| 581 | r <<= _FP_W_TYPE_SIZE; \ | ||
| 582 | r += X##_f0; \ | ||
| 583 | } \ | ||
| 584 | } while (0) | ||
| 585 | |||
| 586 | #define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \ | ||
| 587 | do { \ | ||
| 588 | X##_f0 = r; \ | ||
| 589 | X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \ | ||
| 590 | } while (0) | ||
| 591 | |||
| 592 | /* | ||
| 593 | * Convert FP values between word sizes | ||
| 594 | */ | ||
| 595 | |||
| 596 | #define _FP_FRAC_CONV_1_2(dfs, sfs, D, S) \ | ||
| 597 | do { \ | ||
| 598 | if (S##_c != FP_CLS_NAN) \ | ||
| 599 | _FP_FRAC_SRS_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ | ||
| 600 | _FP_WFRACBITS_##sfs); \ | ||
| 601 | else \ | ||
| 602 | _FP_FRAC_SRL_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ | ||
| 603 | D##_f = S##_f0; \ | ||
| 604 | } while (0) | ||
| 605 | |||
| 606 | #define _FP_FRAC_CONV_2_1(dfs, sfs, D, S) \ | ||
| 607 | do { \ | ||
| 608 | D##_f0 = S##_f; \ | ||
| 609 | D##_f1 = 0; \ | ||
| 610 | _FP_FRAC_SLL_2(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ | ||
| 611 | } while (0) | ||
| 612 | |||
| 613 | #endif | ||
diff --git a/include/math-emu/op-4.h b/include/math-emu/op-4.h new file mode 100644 index 000000000000..ba226f8237a6 --- /dev/null +++ b/include/math-emu/op-4.h | |||
| @@ -0,0 +1,692 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Basic four-word fraction declaration and manipulation. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_OP_4_H__ | ||
| 26 | #define __MATH_EMU_OP_4_H__ | ||
| 27 | |||
| 28 | #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] | ||
| 29 | #define _FP_FRAC_COPY_4(D,S) \ | ||
| 30 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ | ||
| 31 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) | ||
| 32 | #define _FP_FRAC_SET_4(X,I) __FP_FRAC_SET_4(X, I) | ||
| 33 | #define _FP_FRAC_HIGH_4(X) (X##_f[3]) | ||
| 34 | #define _FP_FRAC_LOW_4(X) (X##_f[0]) | ||
| 35 | #define _FP_FRAC_WORD_4(X,w) (X##_f[w]) | ||
| 36 | |||
| 37 | #define _FP_FRAC_SLL_4(X,N) \ | ||
| 38 | do { \ | ||
| 39 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 40 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 41 | _up = (N) % _FP_W_TYPE_SIZE; \ | ||
| 42 | _down = _FP_W_TYPE_SIZE - _up; \ | ||
| 43 | if (!_up) \ | ||
| 44 | for (_i = 3; _i >= _skip; --_i) \ | ||
| 45 | X##_f[_i] = X##_f[_i-_skip]; \ | ||
| 46 | else \ | ||
| 47 | { \ | ||
| 48 | for (_i = 3; _i > _skip; --_i) \ | ||
| 49 | X##_f[_i] = X##_f[_i-_skip] << _up \ | ||
| 50 | | X##_f[_i-_skip-1] >> _down; \ | ||
| 51 | X##_f[_i--] = X##_f[0] << _up; \ | ||
| 52 | } \ | ||
| 53 | for (; _i >= 0; --_i) \ | ||
| 54 | X##_f[_i] = 0; \ | ||
| 55 | } while (0) | ||
| 56 | |||
| 57 | /* This one was broken too */ | ||
| 58 | #define _FP_FRAC_SRL_4(X,N) \ | ||
| 59 | do { \ | ||
| 60 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 61 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 62 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
| 63 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
| 64 | if (!_down) \ | ||
| 65 | for (_i = 0; _i <= 3-_skip; ++_i) \ | ||
| 66 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
| 67 | else \ | ||
| 68 | { \ | ||
| 69 | for (_i = 0; _i < 3-_skip; ++_i) \ | ||
| 70 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
| 71 | | X##_f[_i+_skip+1] << _up; \ | ||
| 72 | X##_f[_i++] = X##_f[3] >> _down; \ | ||
| 73 | } \ | ||
| 74 | for (; _i < 4; ++_i) \ | ||
| 75 | X##_f[_i] = 0; \ | ||
| 76 | } while (0) | ||
| 77 | |||
| 78 | |||
| 79 | /* Right shift with sticky-lsb. | ||
| 80 | * What this actually means is that we do a standard right-shift, | ||
| 81 | * but that if any of the bits that fall off the right hand side | ||
| 82 | * were one then we always set the LSbit. | ||
| 83 | */ | ||
| 84 | #define _FP_FRAC_SRS_4(X,N,size) \ | ||
| 85 | do { \ | ||
| 86 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 87 | _FP_W_TYPE _s; \ | ||
| 88 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 89 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
| 90 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
| 91 | for (_s = _i = 0; _i < _skip; ++_i) \ | ||
| 92 | _s |= X##_f[_i]; \ | ||
| 93 | _s |= X##_f[_i] << _up; \ | ||
| 94 | /* s is now != 0 if we want to set the LSbit */ \ | ||
| 95 | if (!_down) \ | ||
| 96 | for (_i = 0; _i <= 3-_skip; ++_i) \ | ||
| 97 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
| 98 | else \ | ||
| 99 | { \ | ||
| 100 | for (_i = 0; _i < 3-_skip; ++_i) \ | ||
| 101 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
| 102 | | X##_f[_i+_skip+1] << _up; \ | ||
| 103 | X##_f[_i++] = X##_f[3] >> _down; \ | ||
| 104 | } \ | ||
| 105 | for (; _i < 4; ++_i) \ | ||
| 106 | X##_f[_i] = 0; \ | ||
| 107 | /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ | ||
| 108 | X##_f[0] |= (_s != 0); \ | ||
| 109 | } while (0) | ||
| 110 | |||
| 111 | #define _FP_FRAC_ADD_4(R,X,Y) \ | ||
| 112 | __FP_FRAC_ADD_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | ||
| 113 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | ||
| 114 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | ||
| 115 | |||
| 116 | #define _FP_FRAC_SUB_4(R,X,Y) \ | ||
| 117 | __FP_FRAC_SUB_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | ||
| 118 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | ||
| 119 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | ||
| 120 | |||
| 121 | #define _FP_FRAC_DEC_4(X,Y) \ | ||
| 122 | __FP_FRAC_DEC_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | ||
| 123 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | ||
| 124 | |||
| 125 | #define _FP_FRAC_ADDI_4(X,I) \ | ||
| 126 | __FP_FRAC_ADDI_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) | ||
| 127 | |||
| 128 | #define _FP_ZEROFRAC_4 0,0,0,0 | ||
| 129 | #define _FP_MINFRAC_4 0,0,0,1 | ||
| 130 | #define _FP_MAXFRAC_4 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0) | ||
| 131 | |||
| 132 | #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) | ||
| 133 | #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE)X##_f[3] < 0) | ||
| 134 | #define _FP_FRAC_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs) | ||
| 135 | #define _FP_FRAC_CLEAR_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs) | ||
| 136 | |||
| 137 | #define _FP_FRAC_EQ_4(X,Y) \ | ||
| 138 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ | ||
| 139 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) | ||
| 140 | |||
| 141 | #define _FP_FRAC_GT_4(X,Y) \ | ||
| 142 | (X##_f[3] > Y##_f[3] || \ | ||
| 143 | (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \ | ||
| 144 | (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \ | ||
| 145 | (X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0]) \ | ||
| 146 | )) \ | ||
| 147 | )) \ | ||
| 148 | ) | ||
| 149 | |||
| 150 | #define _FP_FRAC_GE_4(X,Y) \ | ||
| 151 | (X##_f[3] > Y##_f[3] || \ | ||
| 152 | (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \ | ||
| 153 | (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \ | ||
| 154 | (X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0]) \ | ||
| 155 | )) \ | ||
| 156 | )) \ | ||
| 157 | ) | ||
| 158 | |||
| 159 | |||
| 160 | #define _FP_FRAC_CLZ_4(R,X) \ | ||
| 161 | do { \ | ||
| 162 | if (X##_f[3]) \ | ||
| 163 | { \ | ||
| 164 | __FP_CLZ(R,X##_f[3]); \ | ||
| 165 | } \ | ||
| 166 | else if (X##_f[2]) \ | ||
| 167 | { \ | ||
| 168 | __FP_CLZ(R,X##_f[2]); \ | ||
| 169 | R += _FP_W_TYPE_SIZE; \ | ||
| 170 | } \ | ||
| 171 | else if (X##_f[1]) \ | ||
| 172 | { \ | ||
| 173 | __FP_CLZ(R,X##_f[2]); \ | ||
| 174 | R += _FP_W_TYPE_SIZE*2; \ | ||
| 175 | } \ | ||
| 176 | else \ | ||
| 177 | { \ | ||
| 178 | __FP_CLZ(R,X##_f[0]); \ | ||
| 179 | R += _FP_W_TYPE_SIZE*3; \ | ||
| 180 | } \ | ||
| 181 | } while(0) | ||
| 182 | |||
| 183 | |||
| 184 | #define _FP_UNPACK_RAW_4(fs, X, val) \ | ||
| 185 | do { \ | ||
| 186 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | ||
| 187 | X##_f[0] = _flo.bits.frac0; \ | ||
| 188 | X##_f[1] = _flo.bits.frac1; \ | ||
| 189 | X##_f[2] = _flo.bits.frac2; \ | ||
| 190 | X##_f[3] = _flo.bits.frac3; \ | ||
| 191 | X##_e = _flo.bits.exp; \ | ||
| 192 | X##_s = _flo.bits.sign; \ | ||
| 193 | } while (0) | ||
| 194 | |||
| 195 | #define _FP_UNPACK_RAW_4_P(fs, X, val) \ | ||
| 196 | do { \ | ||
| 197 | union _FP_UNION_##fs *_flo = \ | ||
| 198 | (union _FP_UNION_##fs *)(val); \ | ||
| 199 | \ | ||
| 200 | X##_f[0] = _flo->bits.frac0; \ | ||
| 201 | X##_f[1] = _flo->bits.frac1; \ | ||
| 202 | X##_f[2] = _flo->bits.frac2; \ | ||
| 203 | X##_f[3] = _flo->bits.frac3; \ | ||
| 204 | X##_e = _flo->bits.exp; \ | ||
| 205 | X##_s = _flo->bits.sign; \ | ||
| 206 | } while (0) | ||
| 207 | |||
| 208 | #define _FP_PACK_RAW_4(fs, val, X) \ | ||
| 209 | do { \ | ||
| 210 | union _FP_UNION_##fs _flo; \ | ||
| 211 | _flo.bits.frac0 = X##_f[0]; \ | ||
| 212 | _flo.bits.frac1 = X##_f[1]; \ | ||
| 213 | _flo.bits.frac2 = X##_f[2]; \ | ||
| 214 | _flo.bits.frac3 = X##_f[3]; \ | ||
| 215 | _flo.bits.exp = X##_e; \ | ||
| 216 | _flo.bits.sign = X##_s; \ | ||
| 217 | (val) = _flo.flt; \ | ||
| 218 | } while (0) | ||
| 219 | |||
| 220 | #define _FP_PACK_RAW_4_P(fs, val, X) \ | ||
| 221 | do { \ | ||
| 222 | union _FP_UNION_##fs *_flo = \ | ||
| 223 | (union _FP_UNION_##fs *)(val); \ | ||
| 224 | \ | ||
| 225 | _flo->bits.frac0 = X##_f[0]; \ | ||
| 226 | _flo->bits.frac1 = X##_f[1]; \ | ||
| 227 | _flo->bits.frac2 = X##_f[2]; \ | ||
| 228 | _flo->bits.frac3 = X##_f[3]; \ | ||
| 229 | _flo->bits.exp = X##_e; \ | ||
| 230 | _flo->bits.sign = X##_s; \ | ||
| 231 | } while (0) | ||
| 232 | |||
| 233 | /* | ||
| 234 | * Multiplication algorithms: | ||
| 235 | */ | ||
| 236 | |||
| 237 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | ||
| 238 | |||
| 239 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ | ||
| 240 | do { \ | ||
| 241 | _FP_FRAC_DECL_8(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ | ||
| 242 | _FP_FRAC_DECL_2(_d); _FP_FRAC_DECL_2(_e); _FP_FRAC_DECL_2(_f); \ | ||
| 243 | \ | ||
| 244 | doit(_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0), X##_f[0], Y##_f[0]); \ | ||
| 245 | doit(_b_f1, _b_f0, X##_f[0], Y##_f[1]); \ | ||
| 246 | doit(_c_f1, _c_f0, X##_f[1], Y##_f[0]); \ | ||
| 247 | doit(_d_f1, _d_f0, X##_f[1], Y##_f[1]); \ | ||
| 248 | doit(_e_f1, _e_f0, X##_f[0], Y##_f[2]); \ | ||
| 249 | doit(_f_f1, _f_f0, X##_f[2], Y##_f[0]); \ | ||
| 250 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ | ||
| 251 | _FP_FRAC_WORD_8(_z,1), 0,_b_f1,_b_f0, \ | ||
| 252 | 0,0,_FP_FRAC_WORD_8(_z,1)); \ | ||
| 253 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ | ||
| 254 | _FP_FRAC_WORD_8(_z,1), 0,_c_f1,_c_f0, \ | ||
| 255 | _FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ | ||
| 256 | _FP_FRAC_WORD_8(_z,1)); \ | ||
| 257 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ | ||
| 258 | _FP_FRAC_WORD_8(_z,2), 0,_d_f1,_d_f0, \ | ||
| 259 | 0,_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2)); \ | ||
| 260 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ | ||
| 261 | _FP_FRAC_WORD_8(_z,2), 0,_e_f1,_e_f0, \ | ||
| 262 | _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ | ||
| 263 | _FP_FRAC_WORD_8(_z,2)); \ | ||
| 264 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ | ||
| 265 | _FP_FRAC_WORD_8(_z,2), 0,_f_f1,_f_f0, \ | ||
| 266 | _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ | ||
| 267 | _FP_FRAC_WORD_8(_z,2)); \ | ||
| 268 | doit(_b_f1, _b_f0, X##_f[0], Y##_f[3]); \ | ||
| 269 | doit(_c_f1, _c_f0, X##_f[3], Y##_f[0]); \ | ||
| 270 | doit(_d_f1, _d_f0, X##_f[1], Y##_f[2]); \ | ||
| 271 | doit(_e_f1, _e_f0, X##_f[2], Y##_f[1]); \ | ||
| 272 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 273 | _FP_FRAC_WORD_8(_z,3), 0,_b_f1,_b_f0, \ | ||
| 274 | 0,_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3)); \ | ||
| 275 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 276 | _FP_FRAC_WORD_8(_z,3), 0,_c_f1,_c_f0, \ | ||
| 277 | _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 278 | _FP_FRAC_WORD_8(_z,3)); \ | ||
| 279 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 280 | _FP_FRAC_WORD_8(_z,3), 0,_d_f1,_d_f0, \ | ||
| 281 | _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 282 | _FP_FRAC_WORD_8(_z,3)); \ | ||
| 283 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 284 | _FP_FRAC_WORD_8(_z,3), 0,_e_f1,_e_f0, \ | ||
| 285 | _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ | ||
| 286 | _FP_FRAC_WORD_8(_z,3)); \ | ||
| 287 | doit(_b_f1, _b_f0, X##_f[2], Y##_f[2]); \ | ||
| 288 | doit(_c_f1, _c_f0, X##_f[1], Y##_f[3]); \ | ||
| 289 | doit(_d_f1, _d_f0, X##_f[3], Y##_f[1]); \ | ||
| 290 | doit(_e_f1, _e_f0, X##_f[2], Y##_f[3]); \ | ||
| 291 | doit(_f_f1, _f_f0, X##_f[3], Y##_f[2]); \ | ||
| 292 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ | ||
| 293 | _FP_FRAC_WORD_8(_z,4), 0,_b_f1,_b_f0, \ | ||
| 294 | 0,_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4)); \ | ||
| 295 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ | ||
| 296 | _FP_FRAC_WORD_8(_z,4), 0,_c_f1,_c_f0, \ | ||
| 297 | _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ | ||
| 298 | _FP_FRAC_WORD_8(_z,4)); \ | ||
| 299 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ | ||
| 300 | _FP_FRAC_WORD_8(_z,4), 0,_d_f1,_d_f0, \ | ||
| 301 | _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ | ||
| 302 | _FP_FRAC_WORD_8(_z,4)); \ | ||
| 303 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ | ||
| 304 | _FP_FRAC_WORD_8(_z,5), 0,_e_f1,_e_f0, \ | ||
| 305 | 0,_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5)); \ | ||
| 306 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ | ||
| 307 | _FP_FRAC_WORD_8(_z,5), 0,_f_f1,_f_f0, \ | ||
| 308 | _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ | ||
| 309 | _FP_FRAC_WORD_8(_z,5)); \ | ||
| 310 | doit(_b_f1, _b_f0, X##_f[3], Y##_f[3]); \ | ||
| 311 | __FP_FRAC_ADD_2(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ | ||
| 312 | _b_f1,_b_f0, \ | ||
| 313 | _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6)); \ | ||
| 314 | \ | ||
| 315 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 316 | were (bit B), we know that the msb of the of the product is \ | ||
| 317 | at either 2B or 2B-1. */ \ | ||
| 318 | _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \ | ||
| 319 | __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ | ||
| 320 | _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \ | ||
| 321 | } while (0) | ||
| 322 | |||
| 323 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ | ||
| 324 | do { \ | ||
| 325 | _FP_FRAC_DECL_8(_z); \ | ||
| 326 | \ | ||
| 327 | mpn_mul_n(_z_f, _x_f, _y_f, 4); \ | ||
| 328 | \ | ||
| 329 | /* Normalize since we know where the msb of the multiplicands \ | ||
| 330 | were (bit B), we know that the msb of the of the product is \ | ||
| 331 | at either 2B or 2B-1. */ \ | ||
| 332 | _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \ | ||
| 333 | __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ | ||
| 334 | _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \ | ||
| 335 | } while (0) | ||
| 336 | |||
| 337 | /* | ||
| 338 | * Helper utility for _FP_DIV_MEAT_4_udiv: | ||
| 339 | * pppp = m * nnn | ||
| 340 | */ | ||
| 341 | #define umul_ppppmnnn(p3,p2,p1,p0,m,n2,n1,n0) \ | ||
| 342 | do { \ | ||
| 343 | UWtype _t; \ | ||
| 344 | umul_ppmm(p1,p0,m,n0); \ | ||
| 345 | umul_ppmm(p2,_t,m,n1); \ | ||
| 346 | __FP_FRAC_ADDI_2(p2,p1,_t); \ | ||
| 347 | umul_ppmm(p3,_t,m,n2); \ | ||
| 348 | __FP_FRAC_ADDI_2(p3,p2,_t); \ | ||
| 349 | } while (0) | ||
| 350 | |||
| 351 | /* | ||
| 352 | * Division algorithms: | ||
| 353 | */ | ||
| 354 | |||
| 355 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ | ||
| 356 | do { \ | ||
| 357 | int _i; \ | ||
| 358 | _FP_FRAC_DECL_4(_n); _FP_FRAC_DECL_4(_m); \ | ||
| 359 | _FP_FRAC_SET_4(_n, _FP_ZEROFRAC_4); \ | ||
| 360 | if (_FP_FRAC_GT_4(X, Y)) \ | ||
| 361 | { \ | ||
| 362 | _n_f[3] = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ | ||
| 363 | _FP_FRAC_SRL_4(X, 1); \ | ||
| 364 | } \ | ||
| 365 | else \ | ||
| 366 | R##_e--; \ | ||
| 367 | \ | ||
| 368 | /* Normalize, i.e. make the most significant bit of the \ | ||
| 369 | denominator set. */ \ | ||
| 370 | _FP_FRAC_SLL_4(Y, _FP_WFRACXBITS_##fs); \ | ||
| 371 | \ | ||
| 372 | for (_i = 3; ; _i--) \ | ||
| 373 | { \ | ||
| 374 | if (X##_f[3] == Y##_f[3]) \ | ||
| 375 | { \ | ||
| 376 | /* This is a special case, not an optimization \ | ||
| 377 | (X##_f[3]/Y##_f[3] would not fit into UWtype). \ | ||
| 378 | As X## is guaranteed to be < Y, R##_f[_i] can be either \ | ||
| 379 | (UWtype)-1 or (UWtype)-2. */ \ | ||
| 380 | R##_f[_i] = -1; \ | ||
| 381 | if (!_i) \ | ||
| 382 | break; \ | ||
| 383 | __FP_FRAC_SUB_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | ||
| 384 | Y##_f[2], Y##_f[1], Y##_f[0], 0, \ | ||
| 385 | X##_f[2], X##_f[1], X##_f[0], _n_f[_i]); \ | ||
| 386 | _FP_FRAC_SUB_4(X, Y, X); \ | ||
| 387 | if (X##_f[3] > Y##_f[3]) \ | ||
| 388 | { \ | ||
| 389 | R##_f[_i] = -2; \ | ||
| 390 | _FP_FRAC_ADD_4(X, Y, X); \ | ||
| 391 | } \ | ||
| 392 | } \ | ||
| 393 | else \ | ||
| 394 | { \ | ||
| 395 | udiv_qrnnd(R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ | ||
| 396 | umul_ppppmnnn(_m_f[3], _m_f[2], _m_f[1], _m_f[0], \ | ||
| 397 | R##_f[_i], Y##_f[2], Y##_f[1], Y##_f[0]); \ | ||
| 398 | X##_f[2] = X##_f[1]; \ | ||
| 399 | X##_f[1] = X##_f[0]; \ | ||
| 400 | X##_f[0] = _n_f[_i]; \ | ||
| 401 | if (_FP_FRAC_GT_4(_m, X)) \ | ||
| 402 | { \ | ||
| 403 | R##_f[_i]--; \ | ||
| 404 | _FP_FRAC_ADD_4(X, Y, X); \ | ||
| 405 | if (_FP_FRAC_GE_4(X, Y) && _FP_FRAC_GT_4(_m, X)) \ | ||
| 406 | { \ | ||
| 407 | R##_f[_i]--; \ | ||
| 408 | _FP_FRAC_ADD_4(X, Y, X); \ | ||
| 409 | } \ | ||
| 410 | } \ | ||
| 411 | _FP_FRAC_DEC_4(X, _m); \ | ||
| 412 | if (!_i) \ | ||
| 413 | { \ | ||
| 414 | if (!_FP_FRAC_EQ_4(X, _m)) \ | ||
| 415 | R##_f[0] |= _FP_WORK_STICKY; \ | ||
| 416 | break; \ | ||
| 417 | } \ | ||
| 418 | } \ | ||
| 419 | } \ | ||
| 420 | } while (0) | ||
| 421 | |||
| 422 | |||
| 423 | /* | ||
| 424 | * Square root algorithms: | ||
| 425 | * We have just one right now, maybe Newton approximation | ||
| 426 | * should be added for those machines where division is fast. | ||
| 427 | */ | ||
| 428 | |||
| 429 | #define _FP_SQRT_MEAT_4(R, S, T, X, q) \ | ||
| 430 | do { \ | ||
| 431 | while (q) \ | ||
| 432 | { \ | ||
| 433 | T##_f[3] = S##_f[3] + q; \ | ||
| 434 | if (T##_f[3] <= X##_f[3]) \ | ||
| 435 | { \ | ||
| 436 | S##_f[3] = T##_f[3] + q; \ | ||
| 437 | X##_f[3] -= T##_f[3]; \ | ||
| 438 | R##_f[3] += q; \ | ||
| 439 | } \ | ||
| 440 | _FP_FRAC_SLL_4(X, 1); \ | ||
| 441 | q >>= 1; \ | ||
| 442 | } \ | ||
| 443 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 444 | while (q) \ | ||
| 445 | { \ | ||
| 446 | T##_f[2] = S##_f[2] + q; \ | ||
| 447 | T##_f[3] = S##_f[3]; \ | ||
| 448 | if (T##_f[3] < X##_f[3] || \ | ||
| 449 | (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ | ||
| 450 | { \ | ||
| 451 | S##_f[2] = T##_f[2] + q; \ | ||
| 452 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | ||
| 453 | __FP_FRAC_DEC_2(X##_f[3], X##_f[2], \ | ||
| 454 | T##_f[3], T##_f[2]); \ | ||
| 455 | R##_f[2] += q; \ | ||
| 456 | } \ | ||
| 457 | _FP_FRAC_SLL_4(X, 1); \ | ||
| 458 | q >>= 1; \ | ||
| 459 | } \ | ||
| 460 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 461 | while (q) \ | ||
| 462 | { \ | ||
| 463 | T##_f[1] = S##_f[1] + q; \ | ||
| 464 | T##_f[2] = S##_f[2]; \ | ||
| 465 | T##_f[3] = S##_f[3]; \ | ||
| 466 | if (T##_f[3] < X##_f[3] || \ | ||
| 467 | (T##_f[3] == X##_f[3] && (T##_f[2] < X##_f[2] || \ | ||
| 468 | (T##_f[2] == X##_f[2] && T##_f[1] <= X##_f[1])))) \ | ||
| 469 | { \ | ||
| 470 | S##_f[1] = T##_f[1] + q; \ | ||
| 471 | S##_f[2] += (T##_f[1] > S##_f[1]); \ | ||
| 472 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | ||
| 473 | __FP_FRAC_DEC_3(X##_f[3], X##_f[2], X##_f[1], \ | ||
| 474 | T##_f[3], T##_f[2], T##_f[1]); \ | ||
| 475 | R##_f[1] += q; \ | ||
| 476 | } \ | ||
| 477 | _FP_FRAC_SLL_4(X, 1); \ | ||
| 478 | q >>= 1; \ | ||
| 479 | } \ | ||
| 480 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
| 481 | while (q != _FP_WORK_ROUND) \ | ||
| 482 | { \ | ||
| 483 | T##_f[0] = S##_f[0] + q; \ | ||
| 484 | T##_f[1] = S##_f[1]; \ | ||
| 485 | T##_f[2] = S##_f[2]; \ | ||
| 486 | T##_f[3] = S##_f[3]; \ | ||
| 487 | if (_FP_FRAC_GE_4(X,T)) \ | ||
| 488 | { \ | ||
| 489 | S##_f[0] = T##_f[0] + q; \ | ||
| 490 | S##_f[1] += (T##_f[0] > S##_f[0]); \ | ||
| 491 | S##_f[2] += (T##_f[1] > S##_f[1]); \ | ||
| 492 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | ||
| 493 | _FP_FRAC_DEC_4(X, T); \ | ||
| 494 | R##_f[0] += q; \ | ||
| 495 | } \ | ||
| 496 | _FP_FRAC_SLL_4(X, 1); \ | ||
| 497 | q >>= 1; \ | ||
| 498 | } \ | ||
| 499 | if (!_FP_FRAC_ZEROP_4(X)) \ | ||
| 500 | { \ | ||
| 501 | if (_FP_FRAC_GT_4(X,S)) \ | ||
| 502 | R##_f[0] |= _FP_WORK_ROUND; \ | ||
| 503 | R##_f[0] |= _FP_WORK_STICKY; \ | ||
| 504 | } \ | ||
| 505 | } while (0) | ||
| 506 | |||
| 507 | |||
| 508 | /* | ||
| 509 | * Internals | ||
| 510 | */ | ||
| 511 | |||
| 512 | #define __FP_FRAC_SET_4(X,I3,I2,I1,I0) \ | ||
| 513 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) | ||
| 514 | |||
| 515 | #ifndef __FP_FRAC_ADD_3 | ||
| 516 | #define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ | ||
| 517 | do { \ | ||
| 518 | int _c1, _c2; \ | ||
| 519 | r0 = x0 + y0; \ | ||
| 520 | _c1 = r0 < x0; \ | ||
| 521 | r1 = x1 + y1; \ | ||
| 522 | _c2 = r1 < x1; \ | ||
| 523 | r1 += _c1; \ | ||
| 524 | _c2 |= r1 < _c1; \ | ||
| 525 | r2 = x2 + y2 + _c2; \ | ||
| 526 | } while (0) | ||
| 527 | #endif | ||
| 528 | |||
| 529 | #ifndef __FP_FRAC_ADD_4 | ||
| 530 | #define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ | ||
| 531 | do { \ | ||
| 532 | int _c1, _c2, _c3; \ | ||
| 533 | r0 = x0 + y0; \ | ||
| 534 | _c1 = r0 < x0; \ | ||
| 535 | r1 = x1 + y1; \ | ||
| 536 | _c2 = r1 < x1; \ | ||
| 537 | r1 += _c1; \ | ||
| 538 | _c2 |= r1 < _c1; \ | ||
| 539 | r2 = x2 + y2; \ | ||
| 540 | _c3 = r2 < x2; \ | ||
| 541 | r2 += _c2; \ | ||
| 542 | _c3 |= r2 < _c2; \ | ||
| 543 | r3 = x3 + y3 + _c3; \ | ||
| 544 | } while (0) | ||
| 545 | #endif | ||
| 546 | |||
| 547 | #ifndef __FP_FRAC_SUB_3 | ||
| 548 | #define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ | ||
| 549 | do { \ | ||
| 550 | int _c1, _c2; \ | ||
| 551 | r0 = x0 - y0; \ | ||
| 552 | _c1 = r0 > x0; \ | ||
| 553 | r1 = x1 - y1; \ | ||
| 554 | _c2 = r1 > x1; \ | ||
| 555 | r1 -= _c1; \ | ||
| 556 | _c2 |= r1 > _c1; \ | ||
| 557 | r2 = x2 - y2 - _c2; \ | ||
| 558 | } while (0) | ||
| 559 | #endif | ||
| 560 | |||
| 561 | #ifndef __FP_FRAC_SUB_4 | ||
| 562 | #define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ | ||
| 563 | do { \ | ||
| 564 | int _c1, _c2, _c3; \ | ||
| 565 | r0 = x0 - y0; \ | ||
| 566 | _c1 = r0 > x0; \ | ||
| 567 | r1 = x1 - y1; \ | ||
| 568 | _c2 = r1 > x1; \ | ||
| 569 | r1 -= _c1; \ | ||
| 570 | _c2 |= r1 > _c1; \ | ||
| 571 | r2 = x2 - y2; \ | ||
| 572 | _c3 = r2 > x2; \ | ||
| 573 | r2 -= _c2; \ | ||
| 574 | _c3 |= r2 > _c2; \ | ||
| 575 | r3 = x3 - y3 - _c3; \ | ||
| 576 | } while (0) | ||
| 577 | #endif | ||
| 578 | |||
| 579 | #ifndef __FP_FRAC_DEC_3 | ||
| 580 | #define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0) \ | ||
| 581 | do { \ | ||
| 582 | UWtype _t0, _t1, _t2; \ | ||
| 583 | _t0 = x0, _t1 = x1, _t2 = x2; \ | ||
| 584 | __FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _t0, y2, y1, y0); \ | ||
| 585 | } while (0) | ||
| 586 | #endif | ||
| 587 | |||
| 588 | #ifndef __FP_FRAC_DEC_4 | ||
| 589 | #define __FP_FRAC_DEC_4(x3,x2,x1,x0,y3,y2,y1,y0) \ | ||
| 590 | do { \ | ||
| 591 | UWtype _t0, _t1, _t2, _t3; \ | ||
| 592 | _t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3; \ | ||
| 593 | __FP_FRAC_SUB_4 (x3,x2,x1,x0,_t3,_t2,_t1,_t0, y3,y2,y1,y0); \ | ||
| 594 | } while (0) | ||
| 595 | #endif | ||
| 596 | |||
| 597 | #ifndef __FP_FRAC_ADDI_4 | ||
| 598 | #define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \ | ||
| 599 | do { \ | ||
| 600 | UWtype _t; \ | ||
| 601 | _t = ((x0 += i) < i); \ | ||
| 602 | x1 += _t; _t = (x1 < _t); \ | ||
| 603 | x2 += _t; _t = (x2 < _t); \ | ||
| 604 | x3 += _t; \ | ||
| 605 | } while (0) | ||
| 606 | #endif | ||
| 607 | |||
| 608 | /* Convert FP values between word sizes. This appears to be more | ||
| 609 | * complicated than I'd have expected it to be, so these might be | ||
| 610 | * wrong... These macros are in any case somewhat bogus because they | ||
| 611 | * use information about what various FRAC_n variables look like | ||
| 612 | * internally [eg, that 2 word vars are X_f0 and x_f1]. But so do | ||
| 613 | * the ones in op-2.h and op-1.h. | ||
| 614 | */ | ||
| 615 | #define _FP_FRAC_CONV_1_4(dfs, sfs, D, S) \ | ||
| 616 | do { \ | ||
| 617 | if (S##_c != FP_CLS_NAN) \ | ||
| 618 | _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ | ||
| 619 | _FP_WFRACBITS_##sfs); \ | ||
| 620 | else \ | ||
| 621 | _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ | ||
| 622 | D##_f = S##_f[0]; \ | ||
| 623 | } while (0) | ||
| 624 | |||
| 625 | #define _FP_FRAC_CONV_2_4(dfs, sfs, D, S) \ | ||
| 626 | do { \ | ||
| 627 | if (S##_c != FP_CLS_NAN) \ | ||
| 628 | _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ | ||
| 629 | _FP_WFRACBITS_##sfs); \ | ||
| 630 | else \ | ||
| 631 | _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ | ||
| 632 | D##_f0 = S##_f[0]; \ | ||
| 633 | D##_f1 = S##_f[1]; \ | ||
| 634 | } while (0) | ||
| 635 | |||
| 636 | /* Assembly/disassembly for converting to/from integral types. | ||
| 637 | * No shifting or overflow handled here. | ||
| 638 | */ | ||
| 639 | /* Put the FP value X into r, which is an integer of size rsize. */ | ||
| 640 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ | ||
| 641 | do { \ | ||
| 642 | if (rsize <= _FP_W_TYPE_SIZE) \ | ||
| 643 | r = X##_f[0]; \ | ||
| 644 | else if (rsize <= 2*_FP_W_TYPE_SIZE) \ | ||
| 645 | { \ | ||
| 646 | r = X##_f[1]; \ | ||
| 647 | r <<= _FP_W_TYPE_SIZE; \ | ||
| 648 | r += X##_f[0]; \ | ||
| 649 | } \ | ||
| 650 | else \ | ||
| 651 | { \ | ||
| 652 | /* I'm feeling lazy so we deal with int == 3words (implausible)*/ \ | ||
| 653 | /* and int == 4words as a single case. */ \ | ||
| 654 | r = X##_f[3]; \ | ||
| 655 | r <<= _FP_W_TYPE_SIZE; \ | ||
| 656 | r += X##_f[2]; \ | ||
| 657 | r <<= _FP_W_TYPE_SIZE; \ | ||
| 658 | r += X##_f[1]; \ | ||
| 659 | r <<= _FP_W_TYPE_SIZE; \ | ||
| 660 | r += X##_f[0]; \ | ||
| 661 | } \ | ||
| 662 | } while (0) | ||
| 663 | |||
| 664 | /* "No disassemble Number Five!" */ | ||
| 665 | /* move an integer of size rsize into X's fractional part. We rely on | ||
| 666 | * the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid | ||
| 667 | * having to mask the values we store into it. | ||
| 668 | */ | ||
| 669 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ | ||
| 670 | do { \ | ||
| 671 | X##_f[0] = r; \ | ||
| 672 | X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \ | ||
| 673 | X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \ | ||
| 674 | X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \ | ||
| 675 | } while (0) | ||
| 676 | |||
| 677 | #define _FP_FRAC_CONV_4_1(dfs, sfs, D, S) \ | ||
| 678 | do { \ | ||
| 679 | D##_f[0] = S##_f; \ | ||
| 680 | D##_f[1] = D##_f[2] = D##_f[3] = 0; \ | ||
| 681 | _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ | ||
| 682 | } while (0) | ||
| 683 | |||
| 684 | #define _FP_FRAC_CONV_4_2(dfs, sfs, D, S) \ | ||
| 685 | do { \ | ||
| 686 | D##_f[0] = S##_f0; \ | ||
| 687 | D##_f[1] = S##_f1; \ | ||
| 688 | D##_f[2] = D##_f[3] = 0; \ | ||
| 689 | _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ | ||
| 690 | } while (0) | ||
| 691 | |||
| 692 | #endif | ||
diff --git a/include/math-emu/op-8.h b/include/math-emu/op-8.h new file mode 100644 index 000000000000..8b8c05eb8283 --- /dev/null +++ b/include/math-emu/op-8.h | |||
| @@ -0,0 +1,107 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Basic eight-word fraction declaration and manipulation. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz) and | ||
| 7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 8 | |||
| 9 | The GNU C Library is free software; you can redistribute it and/or | ||
| 10 | modify it under the terms of the GNU Library General Public License as | ||
| 11 | published by the Free Software Foundation; either version 2 of the | ||
| 12 | License, or (at your option) any later version. | ||
| 13 | |||
| 14 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 17 | Library General Public License for more details. | ||
| 18 | |||
| 19 | You should have received a copy of the GNU Library General Public | ||
| 20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 21 | not, write to the Free Software Foundation, Inc., | ||
| 22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 23 | |||
| 24 | #ifndef __MATH_EMU_OP_8_H__ | ||
| 25 | #define __MATH_EMU_OP_8_H__ | ||
| 26 | |||
| 27 | /* We need just a few things from here for op-4, if we ever need some | ||
| 28 | other macros, they can be added. */ | ||
| 29 | #define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] | ||
| 30 | #define _FP_FRAC_HIGH_8(X) (X##_f[7]) | ||
| 31 | #define _FP_FRAC_LOW_8(X) (X##_f[0]) | ||
| 32 | #define _FP_FRAC_WORD_8(X,w) (X##_f[w]) | ||
| 33 | |||
| 34 | #define _FP_FRAC_SLL_8(X,N) \ | ||
| 35 | do { \ | ||
| 36 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 37 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 38 | _up = (N) % _FP_W_TYPE_SIZE; \ | ||
| 39 | _down = _FP_W_TYPE_SIZE - _up; \ | ||
| 40 | if (!_up) \ | ||
| 41 | for (_i = 7; _i >= _skip; --_i) \ | ||
| 42 | X##_f[_i] = X##_f[_i-_skip]; \ | ||
| 43 | else \ | ||
| 44 | { \ | ||
| 45 | for (_i = 7; _i > _skip; --_i) \ | ||
| 46 | X##_f[_i] = X##_f[_i-_skip] << _up \ | ||
| 47 | | X##_f[_i-_skip-1] >> _down; \ | ||
| 48 | X##_f[_i--] = X##_f[0] << _up; \ | ||
| 49 | } \ | ||
| 50 | for (; _i >= 0; --_i) \ | ||
| 51 | X##_f[_i] = 0; \ | ||
| 52 | } while (0) | ||
| 53 | |||
| 54 | #define _FP_FRAC_SRL_8(X,N) \ | ||
| 55 | do { \ | ||
| 56 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 57 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 58 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
| 59 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
| 60 | if (!_down) \ | ||
| 61 | for (_i = 0; _i <= 7-_skip; ++_i) \ | ||
| 62 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
| 63 | else \ | ||
| 64 | { \ | ||
| 65 | for (_i = 0; _i < 7-_skip; ++_i) \ | ||
| 66 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
| 67 | | X##_f[_i+_skip+1] << _up; \ | ||
| 68 | X##_f[_i++] = X##_f[7] >> _down; \ | ||
| 69 | } \ | ||
| 70 | for (; _i < 8; ++_i) \ | ||
| 71 | X##_f[_i] = 0; \ | ||
| 72 | } while (0) | ||
| 73 | |||
| 74 | |||
| 75 | /* Right shift with sticky-lsb. | ||
| 76 | * What this actually means is that we do a standard right-shift, | ||
| 77 | * but that if any of the bits that fall off the right hand side | ||
| 78 | * were one then we always set the LSbit. | ||
| 79 | */ | ||
| 80 | #define _FP_FRAC_SRS_8(X,N,size) \ | ||
| 81 | do { \ | ||
| 82 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
| 83 | _FP_W_TYPE _s; \ | ||
| 84 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
| 85 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
| 86 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
| 87 | for (_s = _i = 0; _i < _skip; ++_i) \ | ||
| 88 | _s |= X##_f[_i]; \ | ||
| 89 | _s |= X##_f[_i] << _up; \ | ||
| 90 | /* s is now != 0 if we want to set the LSbit */ \ | ||
| 91 | if (!_down) \ | ||
| 92 | for (_i = 0; _i <= 7-_skip; ++_i) \ | ||
| 93 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
| 94 | else \ | ||
| 95 | { \ | ||
| 96 | for (_i = 0; _i < 7-_skip; ++_i) \ | ||
| 97 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
| 98 | | X##_f[_i+_skip+1] << _up; \ | ||
| 99 | X##_f[_i++] = X##_f[7] >> _down; \ | ||
| 100 | } \ | ||
| 101 | for (; _i < 8; ++_i) \ | ||
| 102 | X##_f[_i] = 0; \ | ||
| 103 | /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ | ||
| 104 | X##_f[0] |= (_s != 0); \ | ||
| 105 | } while (0) | ||
| 106 | |||
| 107 | #endif | ||
diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h new file mode 100644 index 000000000000..93780abd01bc --- /dev/null +++ b/include/math-emu/op-common.h | |||
| @@ -0,0 +1,853 @@ | |||
| 1 | /* Software floating-point emulation. Common operations. | ||
| 2 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 3 | This file is part of the GNU C Library. | ||
| 4 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 5 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 6 | David S. Miller (davem@redhat.com) and | ||
| 7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 8 | |||
| 9 | The GNU C Library is free software; you can redistribute it and/or | ||
| 10 | modify it under the terms of the GNU Library General Public License as | ||
| 11 | published by the Free Software Foundation; either version 2 of the | ||
| 12 | License, or (at your option) any later version. | ||
| 13 | |||
| 14 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 17 | Library General Public License for more details. | ||
| 18 | |||
| 19 | You should have received a copy of the GNU Library General Public | ||
| 20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 21 | not, write to the Free Software Foundation, Inc., | ||
| 22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 23 | |||
| 24 | #ifndef __MATH_EMU_OP_COMMON_H__ | ||
| 25 | #define __MATH_EMU_OP_COMMON_H__ | ||
| 26 | |||
| 27 | #define _FP_DECL(wc, X) \ | ||
| 28 | _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0; \ | ||
| 29 | _FP_FRAC_DECL_##wc(X) | ||
| 30 | |||
| 31 | /* | ||
| 32 | * Finish truely unpacking a native fp value by classifying the kind | ||
| 33 | * of fp value and normalizing both the exponent and the fraction. | ||
| 34 | */ | ||
| 35 | |||
| 36 | #define _FP_UNPACK_CANONICAL(fs, wc, X) \ | ||
| 37 | do { \ | ||
| 38 | switch (X##_e) \ | ||
| 39 | { \ | ||
| 40 | default: \ | ||
| 41 | _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ | ||
| 42 | _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ | ||
| 43 | X##_e -= _FP_EXPBIAS_##fs; \ | ||
| 44 | X##_c = FP_CLS_NORMAL; \ | ||
| 45 | break; \ | ||
| 46 | \ | ||
| 47 | case 0: \ | ||
| 48 | if (_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 49 | X##_c = FP_CLS_ZERO; \ | ||
| 50 | else \ | ||
| 51 | { \ | ||
| 52 | /* a denormalized number */ \ | ||
| 53 | _FP_I_TYPE _shift; \ | ||
| 54 | _FP_FRAC_CLZ_##wc(_shift, X); \ | ||
| 55 | _shift -= _FP_FRACXBITS_##fs; \ | ||
| 56 | _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \ | ||
| 57 | X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \ | ||
| 58 | X##_c = FP_CLS_NORMAL; \ | ||
| 59 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
| 60 | if (FP_DENORM_ZERO) \ | ||
| 61 | { \ | ||
| 62 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
| 63 | X##_c = FP_CLS_ZERO; \ | ||
| 64 | } \ | ||
| 65 | } \ | ||
| 66 | break; \ | ||
| 67 | \ | ||
| 68 | case _FP_EXPMAX_##fs: \ | ||
| 69 | if (_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 70 | X##_c = FP_CLS_INF; \ | ||
| 71 | else \ | ||
| 72 | { \ | ||
| 73 | X##_c = FP_CLS_NAN; \ | ||
| 74 | /* Check for signaling NaN */ \ | ||
| 75 | if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ | ||
| 76 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 77 | } \ | ||
| 78 | break; \ | ||
| 79 | } \ | ||
| 80 | } while (0) | ||
| 81 | |||
| 82 | /* | ||
| 83 | * Before packing the bits back into the native fp result, take care | ||
| 84 | * of such mundane things as rounding and overflow. Also, for some | ||
| 85 | * kinds of fp values, the original parts may not have been fully | ||
| 86 | * extracted -- but that is ok, we can regenerate them now. | ||
| 87 | */ | ||
| 88 | |||
| 89 | #define _FP_PACK_CANONICAL(fs, wc, X) \ | ||
| 90 | do { \ | ||
| 91 | switch (X##_c) \ | ||
| 92 | { \ | ||
| 93 | case FP_CLS_NORMAL: \ | ||
| 94 | X##_e += _FP_EXPBIAS_##fs; \ | ||
| 95 | if (X##_e > 0) \ | ||
| 96 | { \ | ||
| 97 | _FP_ROUND(wc, X); \ | ||
| 98 | if (_FP_FRAC_OVERP_##wc(fs, X)) \ | ||
| 99 | { \ | ||
| 100 | _FP_FRAC_CLEAR_OVERP_##wc(fs, X); \ | ||
| 101 | X##_e++; \ | ||
| 102 | } \ | ||
| 103 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
| 104 | if (X##_e >= _FP_EXPMAX_##fs) \ | ||
| 105 | { \ | ||
| 106 | /* overflow */ \ | ||
| 107 | switch (FP_ROUNDMODE) \ | ||
| 108 | { \ | ||
| 109 | case FP_RND_NEAREST: \ | ||
| 110 | X##_c = FP_CLS_INF; \ | ||
| 111 | break; \ | ||
| 112 | case FP_RND_PINF: \ | ||
| 113 | if (!X##_s) X##_c = FP_CLS_INF; \ | ||
| 114 | break; \ | ||
| 115 | case FP_RND_MINF: \ | ||
| 116 | if (X##_s) X##_c = FP_CLS_INF; \ | ||
| 117 | break; \ | ||
| 118 | } \ | ||
| 119 | if (X##_c == FP_CLS_INF) \ | ||
| 120 | { \ | ||
| 121 | /* Overflow to infinity */ \ | ||
| 122 | X##_e = _FP_EXPMAX_##fs; \ | ||
| 123 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
| 124 | } \ | ||
| 125 | else \ | ||
| 126 | { \ | ||
| 127 | /* Overflow to maximum normal */ \ | ||
| 128 | X##_e = _FP_EXPMAX_##fs - 1; \ | ||
| 129 | _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ | ||
| 130 | } \ | ||
| 131 | FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ | ||
| 132 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
| 133 | } \ | ||
| 134 | } \ | ||
| 135 | else \ | ||
| 136 | { \ | ||
| 137 | /* we've got a denormalized number */ \ | ||
| 138 | X##_e = -X##_e + 1; \ | ||
| 139 | if (X##_e <= _FP_WFRACBITS_##fs) \ | ||
| 140 | { \ | ||
| 141 | _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \ | ||
| 142 | _FP_ROUND(wc, X); \ | ||
| 143 | if (_FP_FRAC_HIGH_##fs(X) \ | ||
| 144 | & (_FP_OVERFLOW_##fs >> 1)) \ | ||
| 145 | { \ | ||
| 146 | X##_e = 1; \ | ||
| 147 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
| 148 | } \ | ||
| 149 | else \ | ||
| 150 | { \ | ||
| 151 | X##_e = 0; \ | ||
| 152 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
| 153 | FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ | ||
| 154 | } \ | ||
| 155 | } \ | ||
| 156 | else \ | ||
| 157 | { \ | ||
| 158 | /* underflow to zero */ \ | ||
| 159 | X##_e = 0; \ | ||
| 160 | if (!_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 161 | { \ | ||
| 162 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
| 163 | _FP_ROUND(wc, X); \ | ||
| 164 | _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \ | ||
| 165 | } \ | ||
| 166 | FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ | ||
| 167 | } \ | ||
| 168 | } \ | ||
| 169 | break; \ | ||
| 170 | \ | ||
| 171 | case FP_CLS_ZERO: \ | ||
| 172 | X##_e = 0; \ | ||
| 173 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
| 174 | break; \ | ||
| 175 | \ | ||
| 176 | case FP_CLS_INF: \ | ||
| 177 | X##_e = _FP_EXPMAX_##fs; \ | ||
| 178 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
| 179 | break; \ | ||
| 180 | \ | ||
| 181 | case FP_CLS_NAN: \ | ||
| 182 | X##_e = _FP_EXPMAX_##fs; \ | ||
| 183 | if (!_FP_KEEPNANFRACP) \ | ||
| 184 | { \ | ||
| 185 | _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ | ||
| 186 | X##_s = _FP_NANSIGN_##fs; \ | ||
| 187 | } \ | ||
| 188 | else \ | ||
| 189 | _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ | ||
| 190 | break; \ | ||
| 191 | } \ | ||
| 192 | } while (0) | ||
| 193 | |||
| 194 | /* This one accepts raw argument and not cooked, returns | ||
| 195 | * 1 if X is a signaling NaN. | ||
| 196 | */ | ||
| 197 | #define _FP_ISSIGNAN(fs, wc, X) \ | ||
| 198 | ({ \ | ||
| 199 | int __ret = 0; \ | ||
| 200 | if (X##_e == _FP_EXPMAX_##fs) \ | ||
| 201 | { \ | ||
| 202 | if (!_FP_FRAC_ZEROP_##wc(X) \ | ||
| 203 | && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ | ||
| 204 | __ret = 1; \ | ||
| 205 | } \ | ||
| 206 | __ret; \ | ||
| 207 | }) | ||
| 208 | |||
| 209 | |||
| 210 | |||
| 211 | |||
| 212 | |||
| 213 | /* | ||
| 214 | * Main addition routine. The input values should be cooked. | ||
| 215 | */ | ||
| 216 | |||
| 217 | #define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ | ||
| 218 | do { \ | ||
| 219 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
| 220 | { \ | ||
| 221 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
| 222 | { \ | ||
| 223 | /* shift the smaller number so that its exponent matches the larger */ \ | ||
| 224 | _FP_I_TYPE diff = X##_e - Y##_e; \ | ||
| 225 | \ | ||
| 226 | if (diff < 0) \ | ||
| 227 | { \ | ||
| 228 | diff = -diff; \ | ||
| 229 | if (diff <= _FP_WFRACBITS_##fs) \ | ||
| 230 | _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \ | ||
| 231 | else if (!_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 232 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
| 233 | R##_e = Y##_e; \ | ||
| 234 | } \ | ||
| 235 | else \ | ||
| 236 | { \ | ||
| 237 | if (diff > 0) \ | ||
| 238 | { \ | ||
| 239 | if (diff <= _FP_WFRACBITS_##fs) \ | ||
| 240 | _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \ | ||
| 241 | else if (!_FP_FRAC_ZEROP_##wc(Y)) \ | ||
| 242 | _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ | ||
| 243 | } \ | ||
| 244 | R##_e = X##_e; \ | ||
| 245 | } \ | ||
| 246 | \ | ||
| 247 | R##_c = FP_CLS_NORMAL; \ | ||
| 248 | \ | ||
| 249 | if (X##_s == Y##_s) \ | ||
| 250 | { \ | ||
| 251 | R##_s = X##_s; \ | ||
| 252 | _FP_FRAC_ADD_##wc(R, X, Y); \ | ||
| 253 | if (_FP_FRAC_OVERP_##wc(fs, R)) \ | ||
| 254 | { \ | ||
| 255 | _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ | ||
| 256 | R##_e++; \ | ||
| 257 | } \ | ||
| 258 | } \ | ||
| 259 | else \ | ||
| 260 | { \ | ||
| 261 | R##_s = X##_s; \ | ||
| 262 | _FP_FRAC_SUB_##wc(R, X, Y); \ | ||
| 263 | if (_FP_FRAC_ZEROP_##wc(R)) \ | ||
| 264 | { \ | ||
| 265 | /* return an exact zero */ \ | ||
| 266 | if (FP_ROUNDMODE == FP_RND_MINF) \ | ||
| 267 | R##_s |= Y##_s; \ | ||
| 268 | else \ | ||
| 269 | R##_s &= Y##_s; \ | ||
| 270 | R##_c = FP_CLS_ZERO; \ | ||
| 271 | } \ | ||
| 272 | else \ | ||
| 273 | { \ | ||
| 274 | if (_FP_FRAC_NEGP_##wc(R)) \ | ||
| 275 | { \ | ||
| 276 | _FP_FRAC_SUB_##wc(R, Y, X); \ | ||
| 277 | R##_s = Y##_s; \ | ||
| 278 | } \ | ||
| 279 | \ | ||
| 280 | /* renormalize after subtraction */ \ | ||
| 281 | _FP_FRAC_CLZ_##wc(diff, R); \ | ||
| 282 | diff -= _FP_WFRACXBITS_##fs; \ | ||
| 283 | if (diff) \ | ||
| 284 | { \ | ||
| 285 | R##_e -= diff; \ | ||
| 286 | _FP_FRAC_SLL_##wc(R, diff); \ | ||
| 287 | } \ | ||
| 288 | } \ | ||
| 289 | } \ | ||
| 290 | break; \ | ||
| 291 | } \ | ||
| 292 | \ | ||
| 293 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
| 294 | _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \ | ||
| 295 | break; \ | ||
| 296 | \ | ||
| 297 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
| 298 | R##_e = X##_e; \ | ||
| 299 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
| 300 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
| 301 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
| 302 | _FP_FRAC_COPY_##wc(R, X); \ | ||
| 303 | R##_s = X##_s; \ | ||
| 304 | R##_c = X##_c; \ | ||
| 305 | break; \ | ||
| 306 | \ | ||
| 307 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
| 308 | R##_e = Y##_e; \ | ||
| 309 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
| 310 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
| 311 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
| 312 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
| 313 | R##_s = Y##_s; \ | ||
| 314 | R##_c = Y##_c; \ | ||
| 315 | break; \ | ||
| 316 | \ | ||
| 317 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
| 318 | if (X##_s != Y##_s) \ | ||
| 319 | { \ | ||
| 320 | /* +INF + -INF => NAN */ \ | ||
| 321 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
| 322 | R##_s = _FP_NANSIGN_##fs; \ | ||
| 323 | R##_c = FP_CLS_NAN; \ | ||
| 324 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 325 | break; \ | ||
| 326 | } \ | ||
| 327 | /* FALLTHRU */ \ | ||
| 328 | \ | ||
| 329 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
| 330 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
| 331 | R##_s = X##_s; \ | ||
| 332 | R##_c = FP_CLS_INF; \ | ||
| 333 | break; \ | ||
| 334 | \ | ||
| 335 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
| 336 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
| 337 | R##_s = Y##_s; \ | ||
| 338 | R##_c = FP_CLS_INF; \ | ||
| 339 | break; \ | ||
| 340 | \ | ||
| 341 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
| 342 | /* make sure the sign is correct */ \ | ||
| 343 | if (FP_ROUNDMODE == FP_RND_MINF) \ | ||
| 344 | R##_s = X##_s | Y##_s; \ | ||
| 345 | else \ | ||
| 346 | R##_s = X##_s & Y##_s; \ | ||
| 347 | R##_c = FP_CLS_ZERO; \ | ||
| 348 | break; \ | ||
| 349 | \ | ||
| 350 | default: \ | ||
| 351 | abort(); \ | ||
| 352 | } \ | ||
| 353 | } while (0) | ||
| 354 | |||
| 355 | #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+') | ||
| 356 | #define _FP_SUB(fs, wc, R, X, Y) \ | ||
| 357 | do { \ | ||
| 358 | if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \ | ||
| 359 | _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ | ||
| 360 | } while (0) | ||
| 361 | |||
| 362 | |||
| 363 | /* | ||
| 364 | * Main negation routine. FIXME -- when we care about setting exception | ||
| 365 | * bits reliably, this will not do. We should examine all of the fp classes. | ||
| 366 | */ | ||
| 367 | |||
| 368 | #define _FP_NEG(fs, wc, R, X) \ | ||
| 369 | do { \ | ||
| 370 | _FP_FRAC_COPY_##wc(R, X); \ | ||
| 371 | R##_c = X##_c; \ | ||
| 372 | R##_e = X##_e; \ | ||
| 373 | R##_s = 1 ^ X##_s; \ | ||
| 374 | } while (0) | ||
| 375 | |||
| 376 | |||
| 377 | /* | ||
| 378 | * Main multiplication routine. The input values should be cooked. | ||
| 379 | */ | ||
| 380 | |||
| 381 | #define _FP_MUL(fs, wc, R, X, Y) \ | ||
| 382 | do { \ | ||
| 383 | R##_s = X##_s ^ Y##_s; \ | ||
| 384 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
| 385 | { \ | ||
| 386 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
| 387 | R##_c = FP_CLS_NORMAL; \ | ||
| 388 | R##_e = X##_e + Y##_e + 1; \ | ||
| 389 | \ | ||
| 390 | _FP_MUL_MEAT_##fs(R,X,Y); \ | ||
| 391 | \ | ||
| 392 | if (_FP_FRAC_OVERP_##wc(fs, R)) \ | ||
| 393 | _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ | ||
| 394 | else \ | ||
| 395 | R##_e--; \ | ||
| 396 | break; \ | ||
| 397 | \ | ||
| 398 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
| 399 | _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \ | ||
| 400 | break; \ | ||
| 401 | \ | ||
| 402 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
| 403 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
| 404 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
| 405 | R##_s = X##_s; \ | ||
| 406 | \ | ||
| 407 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
| 408 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
| 409 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
| 410 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
| 411 | _FP_FRAC_COPY_##wc(R, X); \ | ||
| 412 | R##_c = X##_c; \ | ||
| 413 | break; \ | ||
| 414 | \ | ||
| 415 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
| 416 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
| 417 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
| 418 | R##_s = Y##_s; \ | ||
| 419 | \ | ||
| 420 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
| 421 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
| 422 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
| 423 | R##_c = Y##_c; \ | ||
| 424 | break; \ | ||
| 425 | \ | ||
| 426 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
| 427 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
| 428 | R##_s = _FP_NANSIGN_##fs; \ | ||
| 429 | R##_c = FP_CLS_NAN; \ | ||
| 430 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
| 431 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 432 | break; \ | ||
| 433 | \ | ||
| 434 | default: \ | ||
| 435 | abort(); \ | ||
| 436 | } \ | ||
| 437 | } while (0) | ||
| 438 | |||
| 439 | |||
| 440 | /* | ||
| 441 | * Main division routine. The input values should be cooked. | ||
| 442 | */ | ||
| 443 | |||
| 444 | #define _FP_DIV(fs, wc, R, X, Y) \ | ||
| 445 | do { \ | ||
| 446 | R##_s = X##_s ^ Y##_s; \ | ||
| 447 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
| 448 | { \ | ||
| 449 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
| 450 | R##_c = FP_CLS_NORMAL; \ | ||
| 451 | R##_e = X##_e - Y##_e; \ | ||
| 452 | \ | ||
| 453 | _FP_DIV_MEAT_##fs(R,X,Y); \ | ||
| 454 | break; \ | ||
| 455 | \ | ||
| 456 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
| 457 | _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \ | ||
| 458 | break; \ | ||
| 459 | \ | ||
| 460 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
| 461 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
| 462 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
| 463 | R##_s = X##_s; \ | ||
| 464 | _FP_FRAC_COPY_##wc(R, X); \ | ||
| 465 | R##_c = X##_c; \ | ||
| 466 | break; \ | ||
| 467 | \ | ||
| 468 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
| 469 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
| 470 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
| 471 | R##_s = Y##_s; \ | ||
| 472 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
| 473 | R##_c = Y##_c; \ | ||
| 474 | break; \ | ||
| 475 | \ | ||
| 476 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
| 477 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
| 478 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
| 479 | R##_c = FP_CLS_ZERO; \ | ||
| 480 | break; \ | ||
| 481 | \ | ||
| 482 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
| 483 | FP_SET_EXCEPTION(FP_EX_DIVZERO); \ | ||
| 484 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
| 485 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
| 486 | R##_c = FP_CLS_INF; \ | ||
| 487 | break; \ | ||
| 488 | \ | ||
| 489 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
| 490 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
| 491 | R##_s = _FP_NANSIGN_##fs; \ | ||
| 492 | R##_c = FP_CLS_NAN; \ | ||
| 493 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
| 494 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 495 | break; \ | ||
| 496 | \ | ||
| 497 | default: \ | ||
| 498 | abort(); \ | ||
| 499 | } \ | ||
| 500 | } while (0) | ||
| 501 | |||
| 502 | |||
| 503 | /* | ||
| 504 | * Main differential comparison routine. The inputs should be raw not | ||
| 505 | * cooked. The return is -1,0,1 for normal values, 2 otherwise. | ||
| 506 | */ | ||
| 507 | |||
| 508 | #define _FP_CMP(fs, wc, ret, X, Y, un) \ | ||
| 509 | do { \ | ||
| 510 | /* NANs are unordered */ \ | ||
| 511 | if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 512 | || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ | ||
| 513 | { \ | ||
| 514 | ret = un; \ | ||
| 515 | } \ | ||
| 516 | else \ | ||
| 517 | { \ | ||
| 518 | int __is_zero_x; \ | ||
| 519 | int __is_zero_y; \ | ||
| 520 | \ | ||
| 521 | __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \ | ||
| 522 | __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \ | ||
| 523 | \ | ||
| 524 | if (__is_zero_x && __is_zero_y) \ | ||
| 525 | ret = 0; \ | ||
| 526 | else if (__is_zero_x) \ | ||
| 527 | ret = Y##_s ? 1 : -1; \ | ||
| 528 | else if (__is_zero_y) \ | ||
| 529 | ret = X##_s ? -1 : 1; \ | ||
| 530 | else if (X##_s != Y##_s) \ | ||
| 531 | ret = X##_s ? -1 : 1; \ | ||
| 532 | else if (X##_e > Y##_e) \ | ||
| 533 | ret = X##_s ? -1 : 1; \ | ||
| 534 | else if (X##_e < Y##_e) \ | ||
| 535 | ret = X##_s ? 1 : -1; \ | ||
| 536 | else if (_FP_FRAC_GT_##wc(X, Y)) \ | ||
| 537 | ret = X##_s ? -1 : 1; \ | ||
| 538 | else if (_FP_FRAC_GT_##wc(Y, X)) \ | ||
| 539 | ret = X##_s ? 1 : -1; \ | ||
| 540 | else \ | ||
| 541 | ret = 0; \ | ||
| 542 | } \ | ||
| 543 | } while (0) | ||
| 544 | |||
| 545 | |||
| 546 | /* Simplification for strict equality. */ | ||
| 547 | |||
| 548 | #define _FP_CMP_EQ(fs, wc, ret, X, Y) \ | ||
| 549 | do { \ | ||
| 550 | /* NANs are unordered */ \ | ||
| 551 | if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ | ||
| 552 | || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ | ||
| 553 | { \ | ||
| 554 | ret = 1; \ | ||
| 555 | } \ | ||
| 556 | else \ | ||
| 557 | { \ | ||
| 558 | ret = !(X##_e == Y##_e \ | ||
| 559 | && _FP_FRAC_EQ_##wc(X, Y) \ | ||
| 560 | && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \ | ||
| 561 | } \ | ||
| 562 | } while (0) | ||
| 563 | |||
| 564 | /* | ||
| 565 | * Main square root routine. The input value should be cooked. | ||
| 566 | */ | ||
| 567 | |||
| 568 | #define _FP_SQRT(fs, wc, R, X) \ | ||
| 569 | do { \ | ||
| 570 | _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \ | ||
| 571 | _FP_W_TYPE q; \ | ||
| 572 | switch (X##_c) \ | ||
| 573 | { \ | ||
| 574 | case FP_CLS_NAN: \ | ||
| 575 | _FP_FRAC_COPY_##wc(R, X); \ | ||
| 576 | R##_s = X##_s; \ | ||
| 577 | R##_c = FP_CLS_NAN; \ | ||
| 578 | break; \ | ||
| 579 | case FP_CLS_INF: \ | ||
| 580 | if (X##_s) \ | ||
| 581 | { \ | ||
| 582 | R##_s = _FP_NANSIGN_##fs; \ | ||
| 583 | R##_c = FP_CLS_NAN; /* NAN */ \ | ||
| 584 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
| 585 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 586 | } \ | ||
| 587 | else \ | ||
| 588 | { \ | ||
| 589 | R##_s = 0; \ | ||
| 590 | R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ | ||
| 591 | } \ | ||
| 592 | break; \ | ||
| 593 | case FP_CLS_ZERO: \ | ||
| 594 | R##_s = X##_s; \ | ||
| 595 | R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ | ||
| 596 | break; \ | ||
| 597 | case FP_CLS_NORMAL: \ | ||
| 598 | R##_s = 0; \ | ||
| 599 | if (X##_s) \ | ||
| 600 | { \ | ||
| 601 | R##_c = FP_CLS_NAN; /* sNAN */ \ | ||
| 602 | R##_s = _FP_NANSIGN_##fs; \ | ||
| 603 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
| 604 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 605 | break; \ | ||
| 606 | } \ | ||
| 607 | R##_c = FP_CLS_NORMAL; \ | ||
| 608 | if (X##_e & 1) \ | ||
| 609 | _FP_FRAC_SLL_##wc(X, 1); \ | ||
| 610 | R##_e = X##_e >> 1; \ | ||
| 611 | _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \ | ||
| 612 | _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ | ||
| 613 | q = _FP_OVERFLOW_##fs >> 1; \ | ||
| 614 | _FP_SQRT_MEAT_##wc(R, S, T, X, q); \ | ||
| 615 | } \ | ||
| 616 | } while (0) | ||
| 617 | |||
| 618 | /* | ||
| 619 | * Convert from FP to integer | ||
| 620 | */ | ||
| 621 | |||
| 622 | /* RSIGNED can have following values: | ||
| 623 | * 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus | ||
| 624 | * the result is either 0 or (2^rsize)-1 depending on the sign in such case. | ||
| 625 | * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is | ||
| 626 | * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending | ||
| 627 | * on the sign in such case. | ||
| 628 | * 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is | ||
| 629 | * set plus the result is truncated to fit into destination. | ||
| 630 | * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is | ||
| 631 | * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending | ||
| 632 | * on the sign in such case. | ||
| 633 | */ | ||
| 634 | #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ | ||
| 635 | do { \ | ||
| 636 | switch (X##_c) \ | ||
| 637 | { \ | ||
| 638 | case FP_CLS_NORMAL: \ | ||
| 639 | if (X##_e < 0) \ | ||
| 640 | { \ | ||
| 641 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
| 642 | case FP_CLS_ZERO: \ | ||
| 643 | r = 0; \ | ||
| 644 | } \ | ||
| 645 | else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ | ||
| 646 | || (!rsigned && X##_s)) \ | ||
| 647 | { /* overflow */ \ | ||
| 648 | case FP_CLS_NAN: \ | ||
| 649 | case FP_CLS_INF: \ | ||
| 650 | if (rsigned == 2) \ | ||
| 651 | { \ | ||
| 652 | if (X##_c != FP_CLS_NORMAL \ | ||
| 653 | || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs) \ | ||
| 654 | r = 0; \ | ||
| 655 | else \ | ||
| 656 | { \ | ||
| 657 | _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ | ||
| 658 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 659 | } \ | ||
| 660 | } \ | ||
| 661 | else if (rsigned) \ | ||
| 662 | { \ | ||
| 663 | r = 1; \ | ||
| 664 | r <<= rsize - 1; \ | ||
| 665 | r -= 1 - X##_s; \ | ||
| 666 | } \ | ||
| 667 | else \ | ||
| 668 | { \ | ||
| 669 | r = 0; \ | ||
| 670 | if (X##_s) \ | ||
| 671 | r = ~r; \ | ||
| 672 | } \ | ||
| 673 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 674 | } \ | ||
| 675 | else \ | ||
| 676 | { \ | ||
| 677 | if (_FP_W_TYPE_SIZE*wc < rsize) \ | ||
| 678 | { \ | ||
| 679 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 680 | r <<= X##_e - _FP_WFRACBITS_##fs; \ | ||
| 681 | } \ | ||
| 682 | else \ | ||
| 683 | { \ | ||
| 684 | if (X##_e >= _FP_WFRACBITS_##fs) \ | ||
| 685 | _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ | ||
| 686 | else if (X##_e < _FP_WFRACBITS_##fs - 1) \ | ||
| 687 | { \ | ||
| 688 | _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \ | ||
| 689 | _FP_WFRACBITS_##fs); \ | ||
| 690 | if (_FP_FRAC_LOW_##wc(X) & 1) \ | ||
| 691 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
| 692 | _FP_FRAC_SRL_##wc(X, 1); \ | ||
| 693 | } \ | ||
| 694 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 695 | } \ | ||
| 696 | if (rsigned && X##_s) \ | ||
| 697 | r = -r; \ | ||
| 698 | } \ | ||
| 699 | break; \ | ||
| 700 | } \ | ||
| 701 | } while (0) | ||
| 702 | |||
| 703 | #define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned) \ | ||
| 704 | do { \ | ||
| 705 | r = 0; \ | ||
| 706 | switch (X##_c) \ | ||
| 707 | { \ | ||
| 708 | case FP_CLS_NORMAL: \ | ||
| 709 | if (X##_e >= _FP_FRACBITS_##fs - 1) \ | ||
| 710 | { \ | ||
| 711 | if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs) \ | ||
| 712 | { \ | ||
| 713 | if (X##_e >= _FP_WFRACBITS_##fs - 1) \ | ||
| 714 | { \ | ||
| 715 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 716 | r <<= X##_e - _FP_WFRACBITS_##fs + 1; \ | ||
| 717 | } \ | ||
| 718 | else \ | ||
| 719 | { \ | ||
| 720 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e \ | ||
| 721 | + _FP_FRACBITS_##fs - 1); \ | ||
| 722 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 723 | } \ | ||
| 724 | } \ | ||
| 725 | } \ | ||
| 726 | else \ | ||
| 727 | { \ | ||
| 728 | if (X##_e <= -_FP_WORKBITS - 1) \ | ||
| 729 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
| 730 | else \ | ||
| 731 | _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e, \ | ||
| 732 | _FP_WFRACBITS_##fs); \ | ||
| 733 | _FP_ROUND(wc, X); \ | ||
| 734 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
| 735 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
| 736 | } \ | ||
| 737 | if (rsigned && X##_s) \ | ||
| 738 | r = -r; \ | ||
| 739 | if (X##_e >= rsize - (rsigned > 0 || X##_s) \ | ||
| 740 | || (!rsigned && X##_s)) \ | ||
| 741 | { /* overflow */ \ | ||
| 742 | case FP_CLS_NAN: \ | ||
| 743 | case FP_CLS_INF: \ | ||
| 744 | if (!rsigned) \ | ||
| 745 | { \ | ||
| 746 | r = 0; \ | ||
| 747 | if (X##_s) \ | ||
| 748 | r = ~r; \ | ||
| 749 | } \ | ||
| 750 | else if (rsigned != 2) \ | ||
| 751 | { \ | ||
| 752 | r = 1; \ | ||
| 753 | r <<= rsize - 1; \ | ||
| 754 | r -= 1 - X##_s; \ | ||
| 755 | } \ | ||
| 756 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
| 757 | } \ | ||
| 758 | break; \ | ||
| 759 | case FP_CLS_ZERO: \ | ||
| 760 | break; \ | ||
| 761 | } \ | ||
| 762 | } while (0) | ||
| 763 | |||
| 764 | #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ | ||
| 765 | do { \ | ||
| 766 | if (r) \ | ||
| 767 | { \ | ||
| 768 | unsigned rtype ur_; \ | ||
| 769 | X##_c = FP_CLS_NORMAL; \ | ||
| 770 | \ | ||
| 771 | if ((X##_s = (r < 0))) \ | ||
| 772 | ur_ = (unsigned rtype) -r; \ | ||
| 773 | else \ | ||
| 774 | ur_ = (unsigned rtype) r; \ | ||
| 775 | if (rsize <= _FP_W_TYPE_SIZE) \ | ||
| 776 | __FP_CLZ(X##_e, ur_); \ | ||
| 777 | else \ | ||
| 778 | __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ | ||
| 779 | (_FP_W_TYPE)ur_); \ | ||
| 780 | if (rsize < _FP_W_TYPE_SIZE) \ | ||
| 781 | X##_e -= (_FP_W_TYPE_SIZE - rsize); \ | ||
| 782 | X##_e = rsize - X##_e - 1; \ | ||
| 783 | \ | ||
| 784 | if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \ | ||
| 785 | __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\ | ||
| 786 | _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ | ||
| 787 | if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \ | ||
| 788 | _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \ | ||
| 789 | } \ | ||
| 790 | else \ | ||
| 791 | { \ | ||
| 792 | X##_c = FP_CLS_ZERO, X##_s = 0; \ | ||
| 793 | } \ | ||
| 794 | } while (0) | ||
| 795 | |||
| 796 | |||
| 797 | #define FP_CONV(dfs,sfs,dwc,swc,D,S) \ | ||
| 798 | do { \ | ||
| 799 | _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \ | ||
| 800 | D##_e = S##_e; \ | ||
| 801 | D##_c = S##_c; \ | ||
| 802 | D##_s = S##_s; \ | ||
| 803 | } while (0) | ||
| 804 | |||
| 805 | /* | ||
| 806 | * Helper primitives. | ||
| 807 | */ | ||
| 808 | |||
| 809 | /* Count leading zeros in a word. */ | ||
| 810 | |||
| 811 | #ifndef __FP_CLZ | ||
| 812 | #if _FP_W_TYPE_SIZE < 64 | ||
| 813 | /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */ | ||
| 814 | #define __FP_CLZ(r, x) \ | ||
| 815 | do { \ | ||
| 816 | _FP_W_TYPE _t = (x); \ | ||
| 817 | r = _FP_W_TYPE_SIZE - 1; \ | ||
| 818 | if (_t > 0xffff) r -= 16; \ | ||
| 819 | if (_t > 0xffff) _t >>= 16; \ | ||
| 820 | if (_t > 0xff) r -= 8; \ | ||
| 821 | if (_t > 0xff) _t >>= 8; \ | ||
| 822 | if (_t & 0xf0) r -= 4; \ | ||
| 823 | if (_t & 0xf0) _t >>= 4; \ | ||
| 824 | if (_t & 0xc) r -= 2; \ | ||
| 825 | if (_t & 0xc) _t >>= 2; \ | ||
| 826 | if (_t & 0x2) r -= 1; \ | ||
| 827 | } while (0) | ||
| 828 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 829 | #define __FP_CLZ(r, x) \ | ||
| 830 | do { \ | ||
| 831 | _FP_W_TYPE _t = (x); \ | ||
| 832 | r = _FP_W_TYPE_SIZE - 1; \ | ||
| 833 | if (_t > 0xffffffff) r -= 32; \ | ||
| 834 | if (_t > 0xffffffff) _t >>= 32; \ | ||
| 835 | if (_t > 0xffff) r -= 16; \ | ||
| 836 | if (_t > 0xffff) _t >>= 16; \ | ||
| 837 | if (_t > 0xff) r -= 8; \ | ||
| 838 | if (_t > 0xff) _t >>= 8; \ | ||
| 839 | if (_t & 0xf0) r -= 4; \ | ||
| 840 | if (_t & 0xf0) _t >>= 4; \ | ||
| 841 | if (_t & 0xc) r -= 2; \ | ||
| 842 | if (_t & 0xc) _t >>= 2; \ | ||
| 843 | if (_t & 0x2) r -= 1; \ | ||
| 844 | } while (0) | ||
| 845 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 846 | #endif /* ndef __FP_CLZ */ | ||
| 847 | |||
| 848 | #define _FP_DIV_HELP_imm(q, r, n, d) \ | ||
| 849 | do { \ | ||
| 850 | q = n / d, r = n % d; \ | ||
| 851 | } while (0) | ||
| 852 | |||
| 853 | #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 000000000000..616113626d09 --- /dev/null +++ b/include/math-emu/quad.h | |||
| @@ -0,0 +1,208 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Definitions for IEEE Quad Precision. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_QUAD_H__ | ||
| 26 | #define __MATH_EMU_QUAD_H__ | ||
| 27 | |||
| 28 | #if _FP_W_TYPE_SIZE < 32 | ||
| 29 | #error "Here's a nickel, kid. Go buy yourself a real computer." | ||
| 30 | #endif | ||
| 31 | |||
| 32 | #if _FP_W_TYPE_SIZE < 64 | ||
| 33 | #define _FP_FRACTBITS_Q (4*_FP_W_TYPE_SIZE) | ||
| 34 | #else | ||
| 35 | #define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE) | ||
| 36 | #endif | ||
| 37 | |||
| 38 | #define _FP_FRACBITS_Q 113 | ||
| 39 | #define _FP_FRACXBITS_Q (_FP_FRACTBITS_Q - _FP_FRACBITS_Q) | ||
| 40 | #define _FP_WFRACBITS_Q (_FP_WORKBITS + _FP_FRACBITS_Q) | ||
| 41 | #define _FP_WFRACXBITS_Q (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q) | ||
| 42 | #define _FP_EXPBITS_Q 15 | ||
| 43 | #define _FP_EXPBIAS_Q 16383 | ||
| 44 | #define _FP_EXPMAX_Q 32767 | ||
| 45 | |||
| 46 | #define _FP_QNANBIT_Q \ | ||
| 47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE) | ||
| 48 | #define _FP_IMPLBIT_Q \ | ||
| 49 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE) | ||
| 50 | #define _FP_OVERFLOW_Q \ | ||
| 51 | ((_FP_W_TYPE)1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE)) | ||
| 52 | |||
| 53 | #if _FP_W_TYPE_SIZE < 64 | ||
| 54 | |||
| 55 | union _FP_UNION_Q | ||
| 56 | { | ||
| 57 | long double flt; | ||
| 58 | struct | ||
| 59 | { | ||
| 60 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 61 | unsigned sign : 1; | ||
| 62 | unsigned exp : _FP_EXPBITS_Q; | ||
| 63 | unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); | ||
| 64 | unsigned long frac2 : _FP_W_TYPE_SIZE; | ||
| 65 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
| 66 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 67 | #else | ||
| 68 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 69 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
| 70 | unsigned long frac2 : _FP_W_TYPE_SIZE; | ||
| 71 | unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); | ||
| 72 | unsigned exp : _FP_EXPBITS_Q; | ||
| 73 | unsigned sign : 1; | ||
| 74 | #endif /* not bigendian */ | ||
| 75 | } bits __attribute__((packed)); | ||
| 76 | }; | ||
| 77 | |||
| 78 | |||
| 79 | #define FP_DECL_Q(X) _FP_DECL(4,X) | ||
| 80 | #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_4(Q,X,val) | ||
| 81 | #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_4_P(Q,X,val) | ||
| 82 | #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_4(Q,val,X) | ||
| 83 | #define FP_PACK_RAW_QP(val,X) \ | ||
| 84 | do { \ | ||
| 85 | if (!FP_INHIBIT_RESULTS) \ | ||
| 86 | _FP_PACK_RAW_4_P(Q,val,X); \ | ||
| 87 | } while (0) | ||
| 88 | |||
| 89 | #define FP_UNPACK_Q(X,val) \ | ||
| 90 | do { \ | ||
| 91 | _FP_UNPACK_RAW_4(Q,X,val); \ | ||
| 92 | _FP_UNPACK_CANONICAL(Q,4,X); \ | ||
| 93 | } while (0) | ||
| 94 | |||
| 95 | #define FP_UNPACK_QP(X,val) \ | ||
| 96 | do { \ | ||
| 97 | _FP_UNPACK_RAW_4_P(Q,X,val); \ | ||
| 98 | _FP_UNPACK_CANONICAL(Q,4,X); \ | ||
| 99 | } while (0) | ||
| 100 | |||
| 101 | #define FP_PACK_Q(val,X) \ | ||
| 102 | do { \ | ||
| 103 | _FP_PACK_CANONICAL(Q,4,X); \ | ||
| 104 | _FP_PACK_RAW_4(Q,val,X); \ | ||
| 105 | } while (0) | ||
| 106 | |||
| 107 | #define FP_PACK_QP(val,X) \ | ||
| 108 | do { \ | ||
| 109 | _FP_PACK_CANONICAL(Q,4,X); \ | ||
| 110 | if (!FP_INHIBIT_RESULTS) \ | ||
| 111 | _FP_PACK_RAW_4_P(Q,val,X); \ | ||
| 112 | } while (0) | ||
| 113 | |||
| 114 | #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,4,X) | ||
| 115 | #define FP_NEG_Q(R,X) _FP_NEG(Q,4,R,X) | ||
| 116 | #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,4,R,X,Y) | ||
| 117 | #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,4,R,X,Y) | ||
| 118 | #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,4,R,X,Y) | ||
| 119 | #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,4,R,X,Y) | ||
| 120 | #define FP_SQRT_Q(R,X) _FP_SQRT(Q,4,R,X) | ||
| 121 | #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_4(R,S,T,X,Q) | ||
| 122 | |||
| 123 | #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,4,r,X,Y,un) | ||
| 124 | #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,4,r,X,Y) | ||
| 125 | |||
| 126 | #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,4,r,X,rsz,rsg) | ||
| 127 | #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,4,r,X,rsz,rsg) | ||
| 128 | #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,4,X,r,rs,rt) | ||
| 129 | |||
| 130 | #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4(X) | ||
| 131 | #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4(X) | ||
| 132 | |||
| 133 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 134 | union _FP_UNION_Q | ||
| 135 | { | ||
| 136 | long double flt /* __attribute__((mode(TF))) */ ; | ||
| 137 | struct { | ||
| 138 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 139 | unsigned sign : 1; | ||
| 140 | unsigned exp : _FP_EXPBITS_Q; | ||
| 141 | unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; | ||
| 142 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 143 | #else | ||
| 144 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
| 145 | unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; | ||
| 146 | unsigned exp : _FP_EXPBITS_Q; | ||
| 147 | unsigned sign : 1; | ||
| 148 | #endif | ||
| 149 | } bits; | ||
| 150 | }; | ||
| 151 | |||
| 152 | #define FP_DECL_Q(X) _FP_DECL(2,X) | ||
| 153 | #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_2(Q,X,val) | ||
| 154 | #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_2_P(Q,X,val) | ||
| 155 | #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_2(Q,val,X) | ||
| 156 | #define FP_PACK_RAW_QP(val,X) \ | ||
| 157 | do { \ | ||
| 158 | if (!FP_INHIBIT_RESULTS) \ | ||
| 159 | _FP_PACK_RAW_2_P(Q,val,X); \ | ||
| 160 | } while (0) | ||
| 161 | |||
| 162 | #define FP_UNPACK_Q(X,val) \ | ||
| 163 | do { \ | ||
| 164 | _FP_UNPACK_RAW_2(Q,X,val); \ | ||
| 165 | _FP_UNPACK_CANONICAL(Q,2,X); \ | ||
| 166 | } while (0) | ||
| 167 | |||
| 168 | #define FP_UNPACK_QP(X,val) \ | ||
| 169 | do { \ | ||
| 170 | _FP_UNPACK_RAW_2_P(Q,X,val); \ | ||
| 171 | _FP_UNPACK_CANONICAL(Q,2,X); \ | ||
| 172 | } while (0) | ||
| 173 | |||
| 174 | #define FP_PACK_Q(val,X) \ | ||
| 175 | do { \ | ||
| 176 | _FP_PACK_CANONICAL(Q,2,X); \ | ||
| 177 | _FP_PACK_RAW_2(Q,val,X); \ | ||
| 178 | } while (0) | ||
| 179 | |||
| 180 | #define FP_PACK_QP(val,X) \ | ||
| 181 | do { \ | ||
| 182 | _FP_PACK_CANONICAL(Q,2,X); \ | ||
| 183 | if (!FP_INHIBIT_RESULTS) \ | ||
| 184 | _FP_PACK_RAW_2_P(Q,val,X); \ | ||
| 185 | } while (0) | ||
| 186 | |||
| 187 | #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,2,X) | ||
| 188 | #define FP_NEG_Q(R,X) _FP_NEG(Q,2,R,X) | ||
| 189 | #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,2,R,X,Y) | ||
| 190 | #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,2,R,X,Y) | ||
| 191 | #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,2,R,X,Y) | ||
| 192 | #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,2,R,X,Y) | ||
| 193 | #define FP_SQRT_Q(R,X) _FP_SQRT(Q,2,R,X) | ||
| 194 | #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) | ||
| 195 | |||
| 196 | #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,2,r,X,Y,un) | ||
| 197 | #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,2,r,X,Y) | ||
| 198 | |||
| 199 | #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,2,r,X,rsz,rsg) | ||
| 200 | #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,2,r,X,rsz,rsg) | ||
| 201 | #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,2,X,r,rs,rt) | ||
| 202 | |||
| 203 | #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2(X) | ||
| 204 | #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2(X) | ||
| 205 | |||
| 206 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
| 207 | |||
| 208 | #endif /* __MATH_EMU_QUAD_H__ */ | ||
diff --git a/include/math-emu/single.h b/include/math-emu/single.h new file mode 100644 index 000000000000..87f90b0f9e5d --- /dev/null +++ b/include/math-emu/single.h | |||
| @@ -0,0 +1,116 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Definitions for IEEE Single Precision. | ||
| 3 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 4 | This file is part of the GNU C Library. | ||
| 5 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 6 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 7 | David S. Miller (davem@redhat.com) and | ||
| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 9 | |||
| 10 | The GNU C Library is free software; you can redistribute it and/or | ||
| 11 | modify it under the terms of the GNU Library General Public License as | ||
| 12 | published by the Free Software Foundation; either version 2 of the | ||
| 13 | License, or (at your option) any later version. | ||
| 14 | |||
| 15 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 18 | Library General Public License for more details. | ||
| 19 | |||
| 20 | You should have received a copy of the GNU Library General Public | ||
| 21 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 22 | not, write to the Free Software Foundation, Inc., | ||
| 23 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 24 | |||
| 25 | #ifndef __MATH_EMU_SINGLE_H__ | ||
| 26 | #define __MATH_EMU_SINGLE_H__ | ||
| 27 | |||
| 28 | #if _FP_W_TYPE_SIZE < 32 | ||
| 29 | #error "Here's a nickel kid. Go buy yourself a real computer." | ||
| 30 | #endif | ||
| 31 | |||
| 32 | #define _FP_FRACBITS_S 24 | ||
| 33 | #define _FP_FRACXBITS_S (_FP_W_TYPE_SIZE - _FP_FRACBITS_S) | ||
| 34 | #define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S) | ||
| 35 | #define _FP_WFRACXBITS_S (_FP_W_TYPE_SIZE - _FP_WFRACBITS_S) | ||
| 36 | #define _FP_EXPBITS_S 8 | ||
| 37 | #define _FP_EXPBIAS_S 127 | ||
| 38 | #define _FP_EXPMAX_S 255 | ||
| 39 | #define _FP_QNANBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2)) | ||
| 40 | #define _FP_IMPLBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1)) | ||
| 41 | #define _FP_OVERFLOW_S ((_FP_W_TYPE)1 << (_FP_WFRACBITS_S)) | ||
| 42 | |||
| 43 | /* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be | ||
| 44 | chosen by the target machine. */ | ||
| 45 | |||
| 46 | union _FP_UNION_S | ||
| 47 | { | ||
| 48 | float flt; | ||
| 49 | struct { | ||
| 50 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
| 51 | unsigned sign : 1; | ||
| 52 | unsigned exp : _FP_EXPBITS_S; | ||
| 53 | unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); | ||
| 54 | #else | ||
| 55 | unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); | ||
| 56 | unsigned exp : _FP_EXPBITS_S; | ||
| 57 | unsigned sign : 1; | ||
| 58 | #endif | ||
| 59 | } bits __attribute__((packed)); | ||
| 60 | }; | ||
| 61 | |||
| 62 | #define FP_DECL_S(X) _FP_DECL(1,X) | ||
| 63 | #define FP_UNPACK_RAW_S(X,val) _FP_UNPACK_RAW_1(S,X,val) | ||
| 64 | #define FP_UNPACK_RAW_SP(X,val) _FP_UNPACK_RAW_1_P(S,X,val) | ||
| 65 | #define FP_PACK_RAW_S(val,X) _FP_PACK_RAW_1(S,val,X) | ||
| 66 | #define FP_PACK_RAW_SP(val,X) \ | ||
| 67 | do { \ | ||
| 68 | if (!FP_INHIBIT_RESULTS) \ | ||
| 69 | _FP_PACK_RAW_1_P(S,val,X); \ | ||
| 70 | } while (0) | ||
| 71 | |||
| 72 | #define FP_UNPACK_S(X,val) \ | ||
| 73 | do { \ | ||
| 74 | _FP_UNPACK_RAW_1(S,X,val); \ | ||
| 75 | _FP_UNPACK_CANONICAL(S,1,X); \ | ||
| 76 | } while (0) | ||
| 77 | |||
| 78 | #define FP_UNPACK_SP(X,val) \ | ||
| 79 | do { \ | ||
| 80 | _FP_UNPACK_RAW_1_P(S,X,val); \ | ||
| 81 | _FP_UNPACK_CANONICAL(S,1,X); \ | ||
| 82 | } while (0) | ||
| 83 | |||
| 84 | #define FP_PACK_S(val,X) \ | ||
| 85 | do { \ | ||
| 86 | _FP_PACK_CANONICAL(S,1,X); \ | ||
| 87 | _FP_PACK_RAW_1(S,val,X); \ | ||
| 88 | } while (0) | ||
| 89 | |||
| 90 | #define FP_PACK_SP(val,X) \ | ||
| 91 | do { \ | ||
| 92 | _FP_PACK_CANONICAL(S,1,X); \ | ||
| 93 | if (!FP_INHIBIT_RESULTS) \ | ||
| 94 | _FP_PACK_RAW_1_P(S,val,X); \ | ||
| 95 | } while (0) | ||
| 96 | |||
| 97 | #define FP_ISSIGNAN_S(X) _FP_ISSIGNAN(S,1,X) | ||
| 98 | #define FP_NEG_S(R,X) _FP_NEG(S,1,R,X) | ||
| 99 | #define FP_ADD_S(R,X,Y) _FP_ADD(S,1,R,X,Y) | ||
| 100 | #define FP_SUB_S(R,X,Y) _FP_SUB(S,1,R,X,Y) | ||
| 101 | #define FP_MUL_S(R,X,Y) _FP_MUL(S,1,R,X,Y) | ||
| 102 | #define FP_DIV_S(R,X,Y) _FP_DIV(S,1,R,X,Y) | ||
| 103 | #define FP_SQRT_S(R,X) _FP_SQRT(S,1,R,X) | ||
| 104 | #define _FP_SQRT_MEAT_S(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) | ||
| 105 | |||
| 106 | #define FP_CMP_S(r,X,Y,un) _FP_CMP(S,1,r,X,Y,un) | ||
| 107 | #define FP_CMP_EQ_S(r,X,Y) _FP_CMP_EQ(S,1,r,X,Y) | ||
| 108 | |||
| 109 | #define FP_TO_INT_S(r,X,rsz,rsg) _FP_TO_INT(S,1,r,X,rsz,rsg) | ||
| 110 | #define FP_TO_INT_ROUND_S(r,X,rsz,rsg) _FP_TO_INT_ROUND(S,1,r,X,rsz,rsg) | ||
| 111 | #define FP_FROM_INT_S(X,r,rs,rt) _FP_FROM_INT(S,1,X,r,rs,rt) | ||
| 112 | |||
| 113 | #define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1(X) | ||
| 114 | #define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1(X) | ||
| 115 | |||
| 116 | #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 000000000000..d02eb64a865b --- /dev/null +++ b/include/math-emu/soft-fp.h | |||
| @@ -0,0 +1,181 @@ | |||
| 1 | /* Software floating-point emulation. | ||
| 2 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
| 3 | This file is part of the GNU C Library. | ||
| 4 | Contributed by Richard Henderson (rth@cygnus.com), | ||
| 5 | Jakub Jelinek (jj@ultra.linux.cz), | ||
| 6 | David S. Miller (davem@redhat.com) and | ||
| 7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
| 8 | |||
| 9 | The GNU C Library is free software; you can redistribute it and/or | ||
| 10 | modify it under the terms of the GNU Library General Public License as | ||
| 11 | published by the Free Software Foundation; either version 2 of the | ||
| 12 | License, or (at your option) any later version. | ||
| 13 | |||
| 14 | The GNU C Library is distributed in the hope that it will be useful, | ||
| 15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 17 | Library General Public License for more details. | ||
| 18 | |||
| 19 | You should have received a copy of the GNU Library General Public | ||
| 20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
| 21 | not, write to the Free Software Foundation, Inc., | ||
| 22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
| 23 | |||
| 24 | #ifndef __MATH_EMU_SOFT_FP_H__ | ||
| 25 | #define __MATH_EMU_SOFT_FP_H__ | ||
| 26 | |||
| 27 | #include <asm/sfp-machine.h> | ||
| 28 | |||
| 29 | /* Allow sfp-machine to have its own byte order definitions. */ | ||
| 30 | #ifndef __BYTE_ORDER | ||
| 31 | #include <endian.h> | ||
| 32 | #endif | ||
| 33 | |||
| 34 | #define _FP_WORKBITS 3 | ||
| 35 | #define _FP_WORK_LSB ((_FP_W_TYPE)1 << 3) | ||
| 36 | #define _FP_WORK_ROUND ((_FP_W_TYPE)1 << 2) | ||
| 37 | #define _FP_WORK_GUARD ((_FP_W_TYPE)1 << 1) | ||
| 38 | #define _FP_WORK_STICKY ((_FP_W_TYPE)1 << 0) | ||
| 39 | |||
| 40 | #ifndef FP_RND_NEAREST | ||
| 41 | # define FP_RND_NEAREST 0 | ||
| 42 | # define FP_RND_ZERO 1 | ||
| 43 | # define FP_RND_PINF 2 | ||
| 44 | # define FP_RND_MINF 3 | ||
| 45 | #ifndef FP_ROUNDMODE | ||
| 46 | # define FP_ROUNDMODE FP_RND_NEAREST | ||
| 47 | #endif | ||
| 48 | #endif | ||
| 49 | |||
| 50 | /* By default don't care about exceptions. */ | ||
| 51 | #ifndef FP_EX_INVALID | ||
| 52 | #define FP_EX_INVALID 0 | ||
| 53 | #endif | ||
| 54 | #ifndef FP_EX_OVERFLOW | ||
| 55 | #define FP_EX_OVERFLOW 0 | ||
| 56 | #endif | ||
| 57 | #ifndef FP_EX_UNDERFLOW | ||
| 58 | #define FP_EX_UNDERFLOW | ||
| 59 | #endif | ||
| 60 | #ifndef FP_EX_DIVZERO | ||
| 61 | #define FP_EX_DIVZERO 0 | ||
| 62 | #endif | ||
| 63 | #ifndef FP_EX_INEXACT | ||
| 64 | #define FP_EX_INEXACT 0 | ||
| 65 | #endif | ||
| 66 | #ifndef FP_EX_DENORM | ||
| 67 | #define FP_EX_DENORM 0 | ||
| 68 | #endif | ||
| 69 | |||
| 70 | #ifdef _FP_DECL_EX | ||
| 71 | #define FP_DECL_EX \ | ||
| 72 | int _fex = 0; \ | ||
| 73 | _FP_DECL_EX | ||
| 74 | #else | ||
| 75 | #define FP_DECL_EX int _fex = 0 | ||
| 76 | #endif | ||
| 77 | |||
| 78 | #ifndef FP_INIT_ROUNDMODE | ||
| 79 | #define FP_INIT_ROUNDMODE do {} while (0) | ||
| 80 | #endif | ||
| 81 | |||
| 82 | #ifndef FP_HANDLE_EXCEPTIONS | ||
| 83 | #define FP_HANDLE_EXCEPTIONS do {} while (0) | ||
| 84 | #endif | ||
| 85 | |||
| 86 | /* By default we never flush denormal input operands to signed zero. */ | ||
| 87 | #ifndef FP_DENORM_ZERO | ||
| 88 | #define FP_DENORM_ZERO 0 | ||
| 89 | #endif | ||
| 90 | |||
| 91 | #ifndef FP_INHIBIT_RESULTS | ||
| 92 | /* By default we write the results always. | ||
| 93 | * sfp-machine may override this and e.g. | ||
| 94 | * check if some exceptions are unmasked | ||
| 95 | * and inhibit it in such a case. | ||
| 96 | */ | ||
| 97 | #define FP_INHIBIT_RESULTS 0 | ||
| 98 | #endif | ||
| 99 | |||
| 100 | #define FP_SET_EXCEPTION(ex) \ | ||
| 101 | _fex |= (ex) | ||
| 102 | |||
| 103 | #define FP_UNSET_EXCEPTION(ex) \ | ||
| 104 | _fex &= ~(ex) | ||
| 105 | |||
| 106 | #define FP_CLEAR_EXCEPTIONS \ | ||
| 107 | _fex = 0 | ||
| 108 | |||
| 109 | #define _FP_ROUND_NEAREST(wc, X) \ | ||
| 110 | do { \ | ||
| 111 | if ((_FP_FRAC_LOW_##wc(X) & 15) != _FP_WORK_ROUND) \ | ||
| 112 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_ROUND); \ | ||
| 113 | } while (0) | ||
| 114 | |||
| 115 | #define _FP_ROUND_ZERO(wc, X) 0 | ||
| 116 | |||
| 117 | #define _FP_ROUND_PINF(wc, X) \ | ||
| 118 | do { \ | ||
| 119 | if (!X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ | ||
| 120 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ | ||
| 121 | } while (0) | ||
| 122 | |||
| 123 | #define _FP_ROUND_MINF(wc, X) \ | ||
| 124 | do { \ | ||
| 125 | if (X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ | ||
| 126 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ | ||
| 127 | } while (0) | ||
| 128 | |||
| 129 | #define _FP_ROUND(wc, X) \ | ||
| 130 | do { \ | ||
| 131 | if (_FP_FRAC_LOW_##wc(X) & 7) \ | ||
| 132 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
| 133 | switch (FP_ROUNDMODE) \ | ||
| 134 | { \ | ||
| 135 | case FP_RND_NEAREST: \ | ||
| 136 | _FP_ROUND_NEAREST(wc,X); \ | ||
| 137 | break; \ | ||
| 138 | case FP_RND_ZERO: \ | ||
| 139 | _FP_ROUND_ZERO(wc,X); \ | ||
| 140 | break; \ | ||
| 141 | case FP_RND_PINF: \ | ||
| 142 | _FP_ROUND_PINF(wc,X); \ | ||
| 143 | break; \ | ||
| 144 | case FP_RND_MINF: \ | ||
| 145 | _FP_ROUND_MINF(wc,X); \ | ||
| 146 | break; \ | ||
| 147 | } \ | ||
| 148 | } while (0) | ||
| 149 | |||
| 150 | #define FP_CLS_NORMAL 0 | ||
| 151 | #define FP_CLS_ZERO 1 | ||
| 152 | #define FP_CLS_INF 2 | ||
| 153 | #define FP_CLS_NAN 3 | ||
| 154 | |||
| 155 | #define _FP_CLS_COMBINE(x,y) (((x) << 2) | (y)) | ||
| 156 | |||
| 157 | #include <math-emu/op-1.h> | ||
| 158 | #include <math-emu/op-2.h> | ||
| 159 | #include <math-emu/op-4.h> | ||
| 160 | #include <math-emu/op-8.h> | ||
| 161 | #include <math-emu/op-common.h> | ||
| 162 | |||
| 163 | /* Sigh. Silly things longlong.h needs. */ | ||
| 164 | #define UWtype _FP_W_TYPE | ||
| 165 | #define W_TYPE_SIZE _FP_W_TYPE_SIZE | ||
| 166 | |||
| 167 | typedef int SItype __attribute__((mode(SI))); | ||
| 168 | typedef int DItype __attribute__((mode(DI))); | ||
| 169 | typedef unsigned int USItype __attribute__((mode(SI))); | ||
| 170 | typedef unsigned int UDItype __attribute__((mode(DI))); | ||
| 171 | #if _FP_W_TYPE_SIZE == 32 | ||
| 172 | typedef unsigned int UHWtype __attribute__((mode(HI))); | ||
| 173 | #elif _FP_W_TYPE_SIZE == 64 | ||
| 174 | typedef USItype UHWtype; | ||
| 175 | #endif | ||
| 176 | |||
| 177 | #ifndef umul_ppmm | ||
| 178 | #include <stdlib/longlong.h> | ||
| 179 | #endif | ||
| 180 | |||
| 181 | #endif /* __MATH_EMU_SOFT_FP_H__ */ | ||
