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-rw-r--r--arch/sparc64/math-emu/op-2.h513
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diff --git a/arch/sparc64/math-emu/op-2.h b/arch/sparc64/math-emu/op-2.h
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-/* Software floating-point emulation.
- Basic two-word fraction declaration and manipulation.
- Copyright (C) 1997,1998,1999 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Richard Henderson (rth@cygnus.com),
- Jakub Jelinek (jj@ultra.linux.cz),
- David S. Miller (davem@redhat.com) and
- Peter Maydell (pmaydell@chiark.greenend.org.uk).
-
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Library General Public License as
- published by the Free Software Foundation; either version 2 of the
- License, or (at your option) any later version.
-
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Library General Public License for more details.
-
- You should have received a copy of the GNU Library General Public
- License along with the GNU C Library; see the file COPYING.LIB. If
- not, write to the Free Software Foundation, Inc.,
- 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
-
-#define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1
-#define _FP_FRAC_COPY_2(D,S) (D##_f0 = S##_f0, D##_f1 = S##_f1)
-#define _FP_FRAC_SET_2(X,I) __FP_FRAC_SET_2(X, I)
-#define _FP_FRAC_HIGH_2(X) (X##_f1)
-#define _FP_FRAC_LOW_2(X) (X##_f0)
-#define _FP_FRAC_WORD_2(X,w) (X##_f##w)
-
-#define _FP_FRAC_SLL_2(X,N) \
- do { \
- if ((N) < _FP_W_TYPE_SIZE) \
- { \
- if (__builtin_constant_p(N) && (N) == 1) \
- { \
- X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE)(X##_f0)) < 0); \
- X##_f0 += X##_f0; \
- } \
- else \
- { \
- X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \
- X##_f0 <<= (N); \
- } \
- } \
- else \
- { \
- X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \
- X##_f0 = 0; \
- } \
- } while (0)
-
-#define _FP_FRAC_SRL_2(X,N) \
- do { \
- if ((N) < _FP_W_TYPE_SIZE) \
- { \
- X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \
- X##_f1 >>= (N); \
- } \
- else \
- { \
- X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \
- X##_f1 = 0; \
- } \
- } while (0)
-
-/* Right shift with sticky-lsb. */
-#define _FP_FRAC_SRS_2(X,N,sz) \
- do { \
- if ((N) < _FP_W_TYPE_SIZE) \
- { \
- X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) | \
- (__builtin_constant_p(N) && (N) == 1 \
- ? X##_f0 & 1 \
- : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \
- X##_f1 >>= (N); \
- } \
- else \
- { \
- X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \
- (((X##_f1 << (sz - (N))) | X##_f0) != 0)); \
- X##_f1 = 0; \
- } \
- } while (0)
-
-#define _FP_FRAC_ADDI_2(X,I) \
- __FP_FRAC_ADDI_2(X##_f1, X##_f0, I)
-
-#define _FP_FRAC_ADD_2(R,X,Y) \
- __FP_FRAC_ADD_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
-
-#define _FP_FRAC_SUB_2(R,X,Y) \
- __FP_FRAC_SUB_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
-
-#define _FP_FRAC_DEC_2(X,Y) \
- __FP_FRAC_DEC_2(X##_f1, X##_f0, Y##_f1, Y##_f0)
-
-#define _FP_FRAC_CLZ_2(R,X) \
- do { \
- if (X##_f1) \
- __FP_CLZ(R,X##_f1); \
- else \
- { \
- __FP_CLZ(R,X##_f0); \
- R += _FP_W_TYPE_SIZE; \
- } \
- } while(0)
-
-/* Predicates */
-#define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE)X##_f1 < 0)
-#define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0)
-#define _FP_FRAC_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs)
-#define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0)
-#define _FP_FRAC_GT_2(X, Y) \
- (X##_f1 > Y##_f1 || X##_f1 == Y##_f1 && X##_f0 > Y##_f0)
-#define _FP_FRAC_GE_2(X, Y) \
- (X##_f1 > Y##_f1 || X##_f1 == Y##_f1 && X##_f0 >= Y##_f0)
-
-#define _FP_ZEROFRAC_2 0, 0
-#define _FP_MINFRAC_2 0, 1
-#define _FP_MAXFRAC_2 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0)
-
-/*
- * Internals
- */
-
-#define __FP_FRAC_SET_2(X,I1,I0) (X##_f0 = I0, X##_f1 = I1)
-
-#define __FP_CLZ_2(R, xh, xl) \
- do { \
- if (xh) \
- __FP_CLZ(R,xh); \
- else \
- { \
- __FP_CLZ(R,xl); \
- R += _FP_W_TYPE_SIZE; \
- } \
- } while(0)
-
-#if 0
-
-#ifndef __FP_FRAC_ADDI_2
-#define __FP_FRAC_ADDI_2(xh, xl, i) \
- (xh += ((xl += i) < i))
-#endif
-#ifndef __FP_FRAC_ADD_2
-#define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \
- (rh = xh + yh + ((rl = xl + yl) < xl))
-#endif
-#ifndef __FP_FRAC_SUB_2
-#define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \
- (rh = xh - yh - ((rl = xl - yl) > xl))
-#endif
-#ifndef __FP_FRAC_DEC_2
-#define __FP_FRAC_DEC_2(xh, xl, yh, yl) \
- do { \
- UWtype _t = xl; \
- xh -= yh + ((xl -= yl) > _t); \
- } while (0)
-#endif
-
-#else
-
-#undef __FP_FRAC_ADDI_2
-#define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa(xh, xl, xh, xl, 0, i)
-#undef __FP_FRAC_ADD_2
-#define __FP_FRAC_ADD_2 add_ssaaaa
-#undef __FP_FRAC_SUB_2
-#define __FP_FRAC_SUB_2 sub_ddmmss
-#undef __FP_FRAC_DEC_2
-#define __FP_FRAC_DEC_2(xh, xl, yh, yl) sub_ddmmss(xh, xl, xh, xl, yh, yl)
-
-#endif
-
-/*
- * Unpack the raw bits of a native fp value. Do not classify or
- * normalize the data.
- */
-
-#define _FP_UNPACK_RAW_2(fs, X, val) \
- do { \
- union _FP_UNION_##fs _flo; _flo.flt = (val); \
- \
- X##_f0 = _flo.bits.frac0; \
- X##_f1 = _flo.bits.frac1; \
- X##_e = _flo.bits.exp; \
- X##_s = _flo.bits.sign; \
- } while (0)
-
-#define _FP_UNPACK_RAW_2_P(fs, X, val) \
- do { \
- union _FP_UNION_##fs *_flo = \
- (union _FP_UNION_##fs *)(val); \
- \
- X##_f0 = _flo->bits.frac0; \
- X##_f1 = _flo->bits.frac1; \
- X##_e = _flo->bits.exp; \
- X##_s = _flo->bits.sign; \
- } while (0)
-
-
-/*
- * Repack the raw bits of a native fp value.
- */
-
-#define _FP_PACK_RAW_2(fs, val, X) \
- do { \
- union _FP_UNION_##fs _flo; \
- \
- _flo.bits.frac0 = X##_f0; \
- _flo.bits.frac1 = X##_f1; \
- _flo.bits.exp = X##_e; \
- _flo.bits.sign = X##_s; \
- \
- (val) = _flo.flt; \
- } while (0)
-
-#define _FP_PACK_RAW_2_P(fs, val, X) \
- do { \
- union _FP_UNION_##fs *_flo = \
- (union _FP_UNION_##fs *)(val); \
- \
- _flo->bits.frac0 = X##_f0; \
- _flo->bits.frac1 = X##_f1; \
- _flo->bits.exp = X##_e; \
- _flo->bits.sign = X##_s; \
- } while (0)
-
-
-/*
- * Multiplication algorithms:
- */
-
-/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
-
-#define _FP_MUL_MEAT_2_wide(fs, R, X, Y, doit) \
- do { \
- _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
- \
- doit(_FP_FRAC_WORD_4(_z,1), _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \
- doit(_b_f1, _b_f0, X##_f0, Y##_f1); \
- doit(_c_f1, _c_f0, X##_f1, Y##_f0); \
- doit(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), X##_f1, Y##_f1); \
- \
- __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1), 0, _b_f1, _b_f0, \
- _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1)); \
- __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0, \
- _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1)); \
- \
- /* Normalize since we know where the msb of the multiplicands \
- were (bit B), we know that the msb of the of the product is \
- at either 2B or 2B-1. */ \
- _FP_FRAC_SRS_4(_z, _FP_WFRACBITS_##fs-1, 2*_FP_WFRACBITS_##fs); \
- R##_f0 = _FP_FRAC_WORD_4(_z,0); \
- R##_f1 = _FP_FRAC_WORD_4(_z,1); \
- } while (0)
-
-/* Given a 1W * 1W => 2W primitive, do the extended multiplication.
- Do only 3 multiplications instead of four. This one is for machines
- where multiplication is much more expensive than subtraction. */
-
-#define _FP_MUL_MEAT_2_wide_3mul(fs, R, X, Y, doit) \
- do { \
- _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
- _FP_W_TYPE _d; \
- int _c1, _c2; \
- \
- _b_f0 = X##_f0 + X##_f1; \
- _c1 = _b_f0 < X##_f0; \
- _b_f1 = Y##_f0 + Y##_f1; \
- _c2 = _b_f1 < Y##_f0; \
- doit(_d, _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \
- doit(_FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1), _b_f0, _b_f1); \
- doit(_c_f1, _c_f0, X##_f1, Y##_f1); \
- \
- _b_f0 &= -_c2; \
- _b_f1 &= -_c1; \
- __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1), (_c1 & _c2), 0, _d, \
- 0, _FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1)); \
- __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _b_f0); \
- __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _b_f1); \
- __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1), \
- 0, _d, _FP_FRAC_WORD_4(_z,0)); \
- __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
- _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0); \
- __FP_FRAC_ADD_2(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), \
- _c_f1, _c_f0, \
- _FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2)); \
- \
- /* Normalize since we know where the msb of the multiplicands \
- were (bit B), we know that the msb of the of the product is \
- at either 2B or 2B-1. */ \
- _FP_FRAC_SRS_4(_z, _FP_WFRACBITS_##fs-1, 2*_FP_WFRACBITS_##fs); \
- R##_f0 = _FP_FRAC_WORD_4(_z,0); \
- R##_f1 = _FP_FRAC_WORD_4(_z,1); \
- } while (0)
-
-#define _FP_MUL_MEAT_2_gmp(fs, R, X, Y) \
- do { \
- _FP_FRAC_DECL_4(_z); \
- _FP_W_TYPE _x[2], _y[2]; \
- _x[0] = X##_f0; _x[1] = X##_f1; \
- _y[0] = Y##_f0; _y[1] = Y##_f1; \
- \
- mpn_mul_n(_z_f, _x, _y, 2); \
- \
- /* Normalize since we know where the msb of the multiplicands \
- were (bit B), we know that the msb of the of the product is \
- at either 2B or 2B-1. */ \
- _FP_FRAC_SRS_4(_z, _FP_WFRACBITS##_fs-1, 2*_FP_WFRACBITS_##fs); \
- R##_f0 = _z_f[0]; \
- R##_f1 = _z_f[1]; \
- } while (0)
-
-
-/*
- * Division algorithms:
- */
-
-#define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \
- do { \
- _FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \
- if (_FP_FRAC_GT_2(X, Y)) \
- { \
- _n_f2 = X##_f1 >> 1; \
- _n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \
- _n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \
- } \
- else \
- { \
- R##_e--; \
- _n_f2 = X##_f1; \
- _n_f1 = X##_f0; \
- _n_f0 = 0; \
- } \
- \
- /* Normalize, i.e. make the most significant bit of the \
- denominator set. */ \
- _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \
- \
- udiv_qrnnd(R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \
- umul_ppmm(_m_f1, _m_f0, R##_f1, Y##_f0); \
- _r_f0 = _n_f0; \
- if (_FP_FRAC_GT_2(_m, _r)) \
- { \
- R##_f1--; \
- _FP_FRAC_ADD_2(_r, Y, _r); \
- if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
- { \
- R##_f1--; \
- _FP_FRAC_ADD_2(_r, Y, _r); \
- } \
- } \
- _FP_FRAC_DEC_2(_r, _m); \
- \
- if (_r_f1 == Y##_f1) \
- { \
- /* This is a special case, not an optimization \
- (_r/Y##_f1 would not fit into UWtype). \
- As _r is guaranteed to be < Y, R##_f0 can be either \
- (UWtype)-1 or (UWtype)-2. But as we know what kind \
- of bits it is (sticky, guard, round), we don't care. \
- We also don't care what the reminder is, because the \
- guard bit will be set anyway. -jj */ \
- R##_f0 = -1; \
- } \
- else \
- { \
- udiv_qrnnd(R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \
- umul_ppmm(_m_f1, _m_f0, R##_f0, Y##_f0); \
- _r_f0 = 0; \
- if (_FP_FRAC_GT_2(_m, _r)) \
- { \
- R##_f0--; \
- _FP_FRAC_ADD_2(_r, Y, _r); \
- if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
- { \
- R##_f0--; \
- _FP_FRAC_ADD_2(_r, Y, _r); \
- } \
- } \
- if (!_FP_FRAC_EQ_2(_r, _m)) \
- R##_f0 |= _FP_WORK_STICKY; \
- } \
- } while (0)
-
-
-#define _FP_DIV_MEAT_2_gmp(fs, R, X, Y) \
- do { \
- _FP_W_TYPE _x[4], _y[2], _z[4]; \
- _y[0] = Y##_f0; _y[1] = Y##_f1; \
- _x[0] = _x[3] = 0; \
- if (_FP_FRAC_GT_2(X, Y)) \
- { \
- R##_e++; \
- _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE) | \
- X##_f1 >> (_FP_W_TYPE_SIZE - \
- (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE))); \
- _x[2] = X##_f1 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE); \
- } \
- else \
- { \
- _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE) | \
- X##_f1 >> (_FP_W_TYPE_SIZE - \
- (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE))); \
- _x[2] = X##_f1 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE); \
- } \
- \
- (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \
- R##_f1 = _z[1]; \
- R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \
- } while (0)
-
-
-/*
- * Square root algorithms:
- * We have just one right now, maybe Newton approximation
- * should be added for those machines where division is fast.
- */
-
-#define _FP_SQRT_MEAT_2(R, S, T, X, q) \
- do { \
- while (q) \
- { \
- T##_f1 = S##_f1 + q; \
- if (T##_f1 <= X##_f1) \
- { \
- S##_f1 = T##_f1 + q; \
- X##_f1 -= T##_f1; \
- R##_f1 += q; \
- } \
- _FP_FRAC_SLL_2(X, 1); \
- q >>= 1; \
- } \
- q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
- while (q != _FP_WORK_ROUND) \
- { \
- T##_f0 = S##_f0 + q; \
- T##_f1 = S##_f1; \
- if (T##_f1 < X##_f1 || \
- (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \
- { \
- S##_f0 = T##_f0 + q; \
- S##_f1 += (T##_f0 > S##_f0); \
- _FP_FRAC_DEC_2(X, T); \
- R##_f0 += q; \
- } \
- _FP_FRAC_SLL_2(X, 1); \
- q >>= 1; \
- } \
- if (X##_f0 | X##_f1) \
- { \
- if (S##_f1 < X##_f1 || \
- (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \
- R##_f0 |= _FP_WORK_ROUND; \
- R##_f0 |= _FP_WORK_STICKY; \
- } \
- } while (0)
-
-
-/*
- * Assembly/disassembly for converting to/from integral types.
- * No shifting or overflow handled here.
- */
-
-#define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \
- do { \
- if (rsize <= _FP_W_TYPE_SIZE) \
- r = X##_f0; \
- else \
- { \
- r = X##_f1; \
- r <<= _FP_W_TYPE_SIZE; \
- r += X##_f0; \
- } \
- } while (0)
-
-#define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \
- do { \
- X##_f0 = r; \
- X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
- } while (0)
-
-/*
- * Convert FP values between word sizes
- */
-
-#define _FP_FRAC_CONV_1_2(dfs, sfs, D, S) \
- do { \
- if (S##_c != FP_CLS_NAN) \
- _FP_FRAC_SRS_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \
- _FP_WFRACBITS_##sfs); \
- else \
- _FP_FRAC_SRL_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \
- D##_f = S##_f0; \
- } while (0)
-
-#define _FP_FRAC_CONV_2_1(dfs, sfs, D, S) \
- do { \
- D##_f0 = S##_f; \
- D##_f1 = 0; \
- _FP_FRAC_SLL_2(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \
- } while (0)
-