-/* Software floating-point emulation.
- Definitions for IEEE Extended Precision.
- Copyright (C) 1999 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Jakub Jelinek (jj@ultra.linux.cz).
-
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Library General Public License as
- published by the Free Software Foundation; either version 2 of the
- License, or (at your option) any later version.
-
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Library General Public License for more details.
-
- You should have received a copy of the GNU Library General Public
- License along with the GNU C Library; see the file COPYING.LIB. If
- not, write to the Free Software Foundation, Inc.,
- 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
-
-
-#ifndef __MATH_EMU_EXTENDED_H__
-#define __MATH_EMU_EXTENDED_H__
-
-#if _FP_W_TYPE_SIZE < 32
-#error "Here's a nickel, kid. Go buy yourself a real computer."
-#endif
-
-#if _FP_W_TYPE_SIZE < 64
-#define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE)
-#else
-#define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE)
-#endif
-
-#define _FP_FRACBITS_E 64
-#define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E)
-#define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E)
-#define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E)
-#define _FP_EXPBITS_E 15
-#define _FP_EXPBIAS_E 16383
-#define _FP_EXPMAX_E 32767
-
-#define _FP_QNANBIT_E \
- ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE)
-#define _FP_IMPLBIT_E \
- ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE)
-#define _FP_OVERFLOW_E \
- ((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE))
-
-#if _FP_W_TYPE_SIZE < 64
-
-union _FP_UNION_E
-{
- long double flt;
- struct
- {
-#if __BYTE_ORDER == __BIG_ENDIAN
- unsigned long pad1 : _FP_W_TYPE_SIZE;
- unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
- unsigned long sign : 1;
- unsigned long exp : _FP_EXPBITS_E;
- unsigned long frac1 : _FP_W_TYPE_SIZE;
- unsigned long frac0 : _FP_W_TYPE_SIZE;
-#else
- unsigned long frac0 : _FP_W_TYPE_SIZE;
- unsigned long frac1 : _FP_W_TYPE_SIZE;
- unsigned exp : _FP_EXPBITS_E;
- unsigned sign : 1;
-#endif /* not bigendian */
- } bits __attribute__((packed));
-};
-
-
-#define FP_DECL_E(X) _FP_DECL(4,X)
-
-#define FP_UNPACK_RAW_E(X, val) \
- do { \
- union _FP_UNION_E _flo; _flo.flt = (val); \
- \
- X##_f[2] = 0; X##_f[3] = 0; \
- X##_f[0] = _flo.bits.frac0; \
- X##_f[1] = _flo.bits.frac1; \
- X##_e = _flo.bits.exp; \
- X##_s = _flo.bits.sign; \
- if (!X##_e && (X##_f[1] || X##_f[0]) \
- && !(X##_f[1] & _FP_IMPLBIT_E)) \
- { \
- X##_e++; \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- } \
- } while (0)
-
-#define FP_UNPACK_RAW_EP(X, val) \
- do { \
- union _FP_UNION_E *_flo = \
- (union _FP_UNION_E *)(val); \
- \
- X##_f[2] = 0; X##_f[3] = 0; \
- X##_f[0] = _flo->bits.frac0; \
- X##_f[1] = _flo->bits.frac1; \
- X##_e = _flo->bits.exp; \
- X##_s = _flo->bits.sign; \
- if (!X##_e && (X##_f[1] || X##_f[0]) \
- && !(X##_f[1] & _FP_IMPLBIT_E)) \
- { \
- X##_e++; \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- } \
- } while (0)
-
-#define FP_PACK_RAW_E(val, X) \
- do { \
- union _FP_UNION_E _flo; \
- \
- if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
- else X##_f[1] &= ~(_FP_IMPLBIT_E); \
- _flo.bits.frac0 = X##_f[0]; \
- _flo.bits.frac1 = X##_f[1]; \
- _flo.bits.exp = X##_e; \
- _flo.bits.sign = X##_s; \
- \
- (val) = _flo.flt; \
- } while (0)
-
-#define FP_PACK_RAW_EP(val, X) \
- do { \
- if (!FP_INHIBIT_RESULTS) \
- { \
- union _FP_UNION_E *_flo = \
- (union _FP_UNION_E *)(val); \
- \
- if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
- else X##_f[1] &= ~(_FP_IMPLBIT_E); \
- _flo->bits.frac0 = X##_f[0]; \
- _flo->bits.frac1 = X##_f[1]; \
- _flo->bits.exp = X##_e; \
- _flo->bits.sign = X##_s; \
- } \
- } while (0)
-
-#define FP_UNPACK_E(X,val) \
- do { \
- FP_UNPACK_RAW_E(X,val); \
- _FP_UNPACK_CANONICAL(E,4,X); \
- } while (0)
-
-#define FP_UNPACK_EP(X,val) \
- do { \
- FP_UNPACK_RAW_2_P(X,val); \
- _FP_UNPACK_CANONICAL(E,4,X); \
- } while (0)
-
-#define FP_PACK_E(val,X) \
- do { \
- _FP_PACK_CANONICAL(E,4,X); \
- FP_PACK_RAW_E(val,X); \
- } while (0)
-
-#define FP_PACK_EP(val,X) \
- do { \
- _FP_PACK_CANONICAL(E,4,X); \
- FP_PACK_RAW_EP(val,X); \
- } while (0)
-
-#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X)
-#define FP_NEG_E(R,X) _FP_NEG(E,4,R,X)
-#define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y)
-#define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y)
-#define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y)
-#define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y)
-#define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X)
-
-/*
- * Square root algorithms:
- * We have just one right now, maybe Newton approximation
- * should be added for those machines where division is fast.
- * This has special _E version because standard _4 square
- * root would not work (it has to start normally with the
- * second word and not the first), but as we have to do it
- * anyway, we optimize it by doing most of the calculations
- * in two UWtype registers instead of four.
- */
-
-#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
- do { \
- q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
- _FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \
- while (q) \
- { \
- T##_f[1] = S##_f[1] + q; \
- if (T##_f[1] <= X##_f[1]) \
- { \
- S##_f[1] = T##_f[1] + q; \
- X##_f[1] -= T##_f[1]; \
- R##_f[1] += q; \
- } \
- _FP_FRAC_SLL_2(X, 1); \
- q >>= 1; \
- } \
- q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
- while (q) \
- { \
- T##_f[0] = S##_f[0] + q; \
- T##_f[1] = S##_f[1]; \
- if (T##_f[1] < X##_f[1] || \
- (T##_f[1] == X##_f[1] && \
- T##_f[0] <= X##_f[0])) \
- { \
- S##_f[0] = T##_f[0] + q; \
- S##_f[1] += (T##_f[0] > S##_f[0]); \
- _FP_FRAC_DEC_2(X, T); \
- R##_f[0] += q; \
- } \
- _FP_FRAC_SLL_2(X, 1); \
- q >>= 1; \
- } \
- _FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \
- if (X##_f[0] | X##_f[1]) \
- { \
- if (S##_f[1] < X##_f[1] || \
- (S##_f[1] == X##_f[1] && \
- S##_f[0] < X##_f[0])) \
- R##_f[0] |= _FP_WORK_ROUND; \
- R##_f[0] |= _FP_WORK_STICKY; \
- } \
- } while (0)
-
-#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un)
-#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y)
-
-#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg)
-#define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,4,r,X,rsz,rsg)
-#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt)
-
-#define _FP_FRAC_HIGH_E(X) (X##_f[2])
-#define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1])
-
-#else /* not _FP_W_TYPE_SIZE < 64 */
-union _FP_UNION_E
-{
- long double flt /* __attribute__((mode(TF))) */ ;
- struct {
-#if __BYTE_ORDER == __BIG_ENDIAN
- unsigned long pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
- unsigned sign : 1;
- unsigned exp : _FP_EXPBITS_E;
- unsigned long frac : _FP_W_TYPE_SIZE;
-#else
- unsigned long frac : _FP_W_TYPE_SIZE;
- unsigned exp : _FP_EXPBITS_E;
- unsigned sign : 1;
-#endif
- } bits;
-};
-
-#define FP_DECL_E(X) _FP_DECL(2,X)
-
-#define FP_UNPACK_RAW_E(X, val) \
- do { \
- union _FP_UNION_E _flo; _flo.flt = (val); \
- \
- X##_f0 = _flo.bits.frac; \
- X##_f1 = 0; \
- X##_e = _flo.bits.exp; \
- X##_s = _flo.bits.sign; \
- if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \
- { \
- X##_e++; \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- } \
- } while (0)
-
-#define FP_UNPACK_RAW_EP(X, val) \
- do { \
- union _FP_UNION_E *_flo = \
- (union _FP_UNION_E *)(val); \
- \
- X##_f0 = _flo->bits.frac; \
- X##_f1 = 0; \
- X##_e = _flo->bits.exp; \
- X##_s = _flo->bits.sign; \
- if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \
- { \
- X##_e++; \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- } \
- } while (0)
-
-#define FP_PACK_RAW_E(val, X) \
- do { \
- union _FP_UNION_E _flo; \
- \
- if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
- else X##_f0 &= ~(_FP_IMPLBIT_E); \
- _flo.bits.frac = X##_f0; \
- _flo.bits.exp = X##_e; \
- _flo.bits.sign = X##_s; \
- \
- (val) = _flo.flt; \
- } while (0)
-
-#define FP_PACK_RAW_EP(fs, val, X) \
- do { \
- if (!FP_INHIBIT_RESULTS) \
- { \
- union _FP_UNION_E *_flo = \
- (union _FP_UNION_E *)(val); \
- \
- if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
- else X##_f0 &= ~(_FP_IMPLBIT_E); \
- _flo->bits.frac = X##_f0; \
- _flo->bits.exp = X##_e; \
- _flo->bits.sign = X##_s; \
- } \
- } while (0)
-
-
-#define FP_UNPACK_E(X,val) \
- do { \
- FP_UNPACK_RAW_E(X,val); \
- _FP_UNPACK_CANONICAL(E,2,X); \
- } while (0)
-
-#define FP_UNPACK_EP(X,val) \
- do { \
- FP_UNPACK_RAW_EP(X,val); \
- _FP_UNPACK_CANONICAL(E,2,X); \
- } while (0)
-
-#define FP_PACK_E(val,X) \
- do { \
- _FP_PACK_CANONICAL(E,2,X); \
- FP_PACK_RAW_E(val,X); \
- } while (0)
-
-#define FP_PACK_EP(val,X) \
- do { \
- _FP_PACK_CANONICAL(E,2,X); \
- FP_PACK_RAW_EP(val,X); \
- } while (0)
-
-#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X)
-#define FP_NEG_E(R,X) _FP_NEG(E,2,R,X)
-#define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y)
-#define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y)
-#define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y)
-#define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y)
-#define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X)
-
-/*
- * Square root algorithms:
- * We have just one right now, maybe Newton approximation
- * should be added for those machines where division is fast.
- * We optimize it by doing most of the calculations
- * in one UWtype registers instead of two, although we don't
- * have to.
- */
-#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
- do { \
- q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
- _FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \
- while (q) \
- { \
- T##_f0 = S##_f0 + q; \
- if (T##_f0 <= X##_f0) \
- { \
- S##_f0 = T##_f0 + q; \
- X##_f0 -= T##_f0; \
- R##_f0 += q; \
- } \
- _FP_FRAC_SLL_1(X, 1); \
- q >>= 1; \
- } \
- _FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \
- if (X##_f0) \
- { \
- if (S##_f0 < X##_f0) \
- R##_f0 |= _FP_WORK_ROUND; \
- R##_f0 |= _FP_WORK_STICKY; \
- } \
- } while (0)
-
-#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un)
-#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y)
-
-#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg)
-#define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,2,r,X,rsz,rsg)
-#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt)
-
-#define _FP_FRAC_HIGH_E(X) (X##_f1)
-#define _FP_FRAC_HIGH_RAW_E(X) (X##_f0)
-
-#endif /* not _FP_W_TYPE_SIZE < 64 */
-
-#endif /* __MATH_EMU_EXTENDED_H__ */
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