diff options
Diffstat (limited to 'REORG.TODO/soft-fp/op-4.h')
| -rw-r--r-- | REORG.TODO/soft-fp/op-4.h | 875 |
1 files changed, 875 insertions, 0 deletions
diff --git a/REORG.TODO/soft-fp/op-4.h b/REORG.TODO/soft-fp/op-4.h new file mode 100644 index 0000000000..5034667e36 --- /dev/null +++ b/REORG.TODO/soft-fp/op-4.h @@ -0,0 +1,875 @@ +/* Software floating-point emulation. + Basic four-word fraction declaration and manipulation. + Copyright (C) 1997-2017 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 Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#ifndef SOFT_FP_OP_4_H +#define SOFT_FP_OP_4_H 1 + +#define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] +#define _FP_FRAC_COPY_4(D, S) \ + (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ + D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) +#define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) +#define _FP_FRAC_HIGH_4(X) (X##_f[3]) +#define _FP_FRAC_LOW_4(X) (X##_f[0]) +#define _FP_FRAC_WORD_4(X, w) (X##_f[w]) + +#define _FP_FRAC_SLL_4(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ + _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ + _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ + if (!_FP_FRAC_SLL_4_up) \ + for (_FP_FRAC_SLL_4_i = 3; \ + _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ + --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] \ + = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ + else \ + { \ + for (_FP_FRAC_SLL_4_i = 3; \ + _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ + --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] \ + = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ + << _FP_FRAC_SLL_4_up) \ + | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ + >> _FP_FRAC_SLL_4_down)); \ + X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ + } \ + for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] = 0; \ + } \ + while (0) + +/* This one was broken too. */ +#define _FP_FRAC_SRL_4(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ + _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ + _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ + if (!_FP_FRAC_SRL_4_down) \ + for (_FP_FRAC_SRL_4_i = 0; \ + _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ + ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] \ + = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ + else \ + { \ + for (_FP_FRAC_SRL_4_i = 0; \ + _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ + ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] \ + = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ + >> _FP_FRAC_SRL_4_down) \ + | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ + << _FP_FRAC_SRL_4_up)); \ + X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ + } \ + for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] = 0; \ + } \ + while (0) + + +/* Right shift with sticky-lsb. + What this actually means is that we do a standard right-shift, + but that if any of the bits that fall off the right hand side + were one then we always set the LSbit. */ +#define _FP_FRAC_SRST_4(X, S, N, size) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ + _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ + _FP_W_TYPE _FP_FRAC_SRST_4_s; \ + _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ + for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ + if (!_FP_FRAC_SRST_4_down) \ + for (_FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] \ + = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ + else \ + { \ + _FP_FRAC_SRST_4_s \ + |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ + for (_FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] \ + = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ + >> _FP_FRAC_SRST_4_down) \ + | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ + << _FP_FRAC_SRST_4_up)); \ + X##_f[_FP_FRAC_SRST_4_i++] \ + = X##_f[3] >> _FP_FRAC_SRST_4_down; \ + } \ + for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] = 0; \ + S = (_FP_FRAC_SRST_4_s != 0); \ + } \ + while (0) + +#define _FP_FRAC_SRS_4(X, N, size) \ + do \ + { \ + int _FP_FRAC_SRS_4_sticky; \ + _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ + X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ + } \ + while (0) + +#define _FP_FRAC_ADD_4(R, X, Y) \ + __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_SUB_4(R, X, Y) \ + __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_DEC_4(X, Y) \ + __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_ADDI_4(X, I) \ + __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) + +#define _FP_ZEROFRAC_4 0, 0, 0, 0 +#define _FP_MINFRAC_4 0, 0, 0, 1 +#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) + +#define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) +#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) +#define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) +#define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ + (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) +#define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) + +#define _FP_FRAC_EQ_4(X, Y) \ + (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ + && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) + +#define _FP_FRAC_GT_4(X, Y) \ + (X##_f[3] > Y##_f[3] \ + || (X##_f[3] == Y##_f[3] \ + && (X##_f[2] > Y##_f[2] \ + || (X##_f[2] == Y##_f[2] \ + && (X##_f[1] > Y##_f[1] \ + || (X##_f[1] == Y##_f[1] \ + && X##_f[0] > Y##_f[0])))))) + +#define _FP_FRAC_GE_4(X, Y) \ + (X##_f[3] > Y##_f[3] \ + || (X##_f[3] == Y##_f[3] \ + && (X##_f[2] > Y##_f[2] \ + || (X##_f[2] == Y##_f[2] \ + && (X##_f[1] > Y##_f[1] \ + || (X##_f[1] == Y##_f[1] \ + && X##_f[0] >= Y##_f[0])))))) + + +#define _FP_FRAC_CLZ_4(R, X) \ + do \ + { \ + if (X##_f[3]) \ + __FP_CLZ ((R), X##_f[3]); \ + else if (X##_f[2]) \ + { \ + __FP_CLZ ((R), X##_f[2]); \ + (R) += _FP_W_TYPE_SIZE; \ + } \ + else if (X##_f[1]) \ + { \ + __FP_CLZ ((R), X##_f[1]); \ + (R) += _FP_W_TYPE_SIZE*2; \ + } \ + else \ + { \ + __FP_CLZ ((R), X##_f[0]); \ + (R) += _FP_W_TYPE_SIZE*3; \ + } \ + } \ + while (0) + + +#define _FP_UNPACK_RAW_4(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ + _FP_UNPACK_RAW_4_flo.flt = (val); \ + X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ + X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ + X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ + X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ + X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ + X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ + } \ + while (0) + +#define _FP_UNPACK_RAW_4_P(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ + X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ + X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ + X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ + X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ + X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ + } \ + while (0) + +#define _FP_PACK_RAW_4(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ + _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ + _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ + _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ + _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ + _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ + _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ + (val) = _FP_PACK_RAW_4_flo.flt; \ + } \ + while (0) + +#define _FP_PACK_RAW_4_P(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ + _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ + _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ + _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ + _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ + _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ + } \ + while (0) + +/* Multiplication algorithms: */ + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ + \ + doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ + X##_f[0], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[0], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ + X##_f[1], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[1], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[0], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ + X##_f[2], Y##_f[0]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_f_f1, \ + _FP_MUL_MEAT_DW_4_wide_f_f0, \ + _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[1], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[2], Y##_f[1]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[2], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ + X##_f[1], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[3], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[2], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ + X##_f[3], Y##_f[2]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5), 0, \ + _FP_MUL_MEAT_DW_4_wide_f_f1, \ + _FP_MUL_MEAT_DW_4_wide_f_f0, \ + _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[3], Y##_f[3]); \ + __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ + \ + _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ + X, Y, doit); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ + do \ + { \ + mpn_mul_n (R##_f, _x_f, _y_f, 4); \ + } \ + while (0) + +#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ + do \ + { \ + _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ + \ + _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ + } \ + while (0) + +/* Helper utility for _FP_DIV_MEAT_4_udiv: + * pppp = m * nnn. */ +#define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ + do \ + { \ + UWtype umul_ppppmnnn_t; \ + umul_ppmm (p1, p0, m, n0); \ + umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ + __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ + umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ + __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ + } \ + while (0) + +/* Division algorithms: */ + +#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ + do \ + { \ + int _FP_DIV_MEAT_4_udiv_i; \ + _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ + _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ + _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ + if (_FP_FRAC_GE_4 (X, Y)) \ + { \ + _FP_DIV_MEAT_4_udiv_n_f[3] \ + = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_4 (X, 1); \ + } \ + else \ + R##_e--; \ + \ + /* Normalize, i.e. make the most significant bit of the \ + denominator set. */ \ + _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ + \ + for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ + { \ + if (X##_f[3] == Y##_f[3]) \ + { \ + /* This is a special case, not an optimization \ + (X##_f[3]/Y##_f[3] would not fit into UWtype). \ + As X## is guaranteed to be < Y, \ + R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ + (UWtype)-1 or (UWtype)-2. */ \ + R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ + if (!_FP_DIV_MEAT_4_udiv_i) \ + break; \ + __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[2], Y##_f[1], Y##_f[0], 0, \ + X##_f[2], X##_f[1], X##_f[0], \ + _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ + _FP_FRAC_SUB_4 (X, Y, X); \ + if (X##_f[3] > Y##_f[3]) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + } \ + } \ + else \ + { \ + udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ + X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ + umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ + _FP_DIV_MEAT_4_udiv_m_f[2], \ + _FP_DIV_MEAT_4_udiv_m_f[1], \ + _FP_DIV_MEAT_4_udiv_m_f[0], \ + R##_f[_FP_DIV_MEAT_4_udiv_i], \ + Y##_f[2], Y##_f[1], Y##_f[0]); \ + X##_f[2] = X##_f[1]; \ + X##_f[1] = X##_f[0]; \ + X##_f[0] \ + = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ + if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + if (_FP_FRAC_GE_4 (X, Y) \ + && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + } \ + } \ + _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ + if (!_FP_DIV_MEAT_4_udiv_i) \ + { \ + if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ + R##_f[0] |= _FP_WORK_STICKY; \ + break; \ + } \ + } \ + } \ + } \ + while (0) + + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. */ + +#define _FP_SQRT_MEAT_4(R, S, T, X, q) \ + do \ + { \ + while (q) \ + { \ + T##_f[3] = S##_f[3] + (q); \ + if (T##_f[3] <= X##_f[3]) \ + { \ + S##_f[3] = T##_f[3] + (q); \ + X##_f[3] -= T##_f[3]; \ + R##_f[3] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[2] = S##_f[2] + (q); \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] \ + || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ + { \ + S##_f[2] = T##_f[2] + (q); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ + T##_f[3], T##_f[2]); \ + R##_f[2] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[1] = S##_f[1] + (q); \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] \ + || (T##_f[3] == X##_f[3] \ + && (T##_f[2] < X##_f[2] \ + || (T##_f[2] == X##_f[2] \ + && T##_f[1] <= X##_f[1])))) \ + { \ + S##_f[1] = T##_f[1] + (q); \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ + T##_f[3], T##_f[2], T##_f[1]); \ + R##_f[1] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while ((q) != _FP_WORK_ROUND) \ + { \ + T##_f[0] = S##_f[0] + (q); \ + T##_f[1] = S##_f[1]; \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (_FP_FRAC_GE_4 (X, T)) \ + { \ + S##_f[0] = T##_f[0] + (q); \ + S##_f[1] += (T##_f[0] > S##_f[0]); \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + _FP_FRAC_DEC_4 (X, T); \ + R##_f[0] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + if (!_FP_FRAC_ZEROP_4 (X)) \ + { \ + if (_FP_FRAC_GT_4 (X, S)) \ + R##_f[0] |= _FP_WORK_ROUND; \ + R##_f[0] |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + + +/* Internals. */ + +#define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ + (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) + +#ifndef __FP_FRAC_ADD_3 +# define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ + r0 = x0 + y0; \ + __FP_FRAC_ADD_3_c1 = r0 < x0; \ + r1 = x1 + y1; \ + __FP_FRAC_ADD_3_c2 = r1 < x1; \ + r1 += __FP_FRAC_ADD_3_c1; \ + __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ + r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_ADD_4 +# define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ + _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ + r0 = x0 + y0; \ + __FP_FRAC_ADD_4_c1 = r0 < x0; \ + r1 = x1 + y1; \ + __FP_FRAC_ADD_4_c2 = r1 < x1; \ + r1 += __FP_FRAC_ADD_4_c1; \ + __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ + r2 = x2 + y2; \ + __FP_FRAC_ADD_4_c3 = r2 < x2; \ + r2 += __FP_FRAC_ADD_4_c2; \ + __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ + r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_SUB_3 +# define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ + r0 = x0 - y0; \ + __FP_FRAC_SUB_3_c1 = r0 > x0; \ + r1 = x1 - y1; \ + __FP_FRAC_SUB_3_c2 = r1 > x1; \ + r1 -= __FP_FRAC_SUB_3_c1; \ + __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \ + r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_SUB_4 +# define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ + _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ + r0 = x0 - y0; \ + __FP_FRAC_SUB_4_c1 = r0 > x0; \ + r1 = x1 - y1; \ + __FP_FRAC_SUB_4_c2 = r1 > x1; \ + r1 -= __FP_FRAC_SUB_4_c1; \ + __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ + r2 = x2 - y2; \ + __FP_FRAC_SUB_4_c3 = r2 > x2; \ + r2 -= __FP_FRAC_SUB_4_c2; \ + __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ + r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_DEC_3 +# define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ + do \ + { \ + UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ + UWtype __FP_FRAC_DEC_3_t2; \ + __FP_FRAC_DEC_3_t0 = x0; \ + __FP_FRAC_DEC_3_t1 = x1; \ + __FP_FRAC_DEC_3_t2 = x2; \ + __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ + __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ + y2, y1, y0); \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_DEC_4 +# define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ + UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ + __FP_FRAC_DEC_4_t0 = x0; \ + __FP_FRAC_DEC_4_t1 = x1; \ + __FP_FRAC_DEC_4_t2 = x2; \ + __FP_FRAC_DEC_4_t3 = x3; \ + __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ + __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ + __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_ADDI_4 +# define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ + do \ + { \ + UWtype __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ + x1 += __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ + x2 += __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ + x3 += __FP_FRAC_ADDI_4_t; \ + } \ + while (0) +#endif + +/* Convert FP values between word sizes. This appears to be more + complicated than I'd have expected it to be, so these might be + wrong... These macros are in any case somewhat bogus because they + use information about what various FRAC_n variables look like + internally [eg, that 2 word vars are X_f0 and x_f1]. But so do + the ones in op-2.h and op-1.h. */ +#define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) + +#define _FP_FRAC_COPY_2_4(D, S) \ + do \ + { \ + D##_f0 = S##_f[0]; \ + D##_f1 = S##_f[1]; \ + } \ + while (0) + +/* Assembly/disassembly for converting to/from integral types. + No shifting or overflow handled here. */ +/* Put the FP value X into r, which is an integer of size rsize. */ +#define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ + do \ + { \ + if ((rsize) <= _FP_W_TYPE_SIZE) \ + (r) = X##_f[0]; \ + else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ + { \ + (r) = X##_f[1]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[0]; \ + } \ + else \ + { \ + /* I'm feeling lazy so we deal with int == 3words \ + (implausible) and int == 4words as a single case. */ \ + (r) = X##_f[3]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[2]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[1]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[0]; \ + } \ + } \ + while (0) + +/* "No disassemble Number Five!" */ +/* Move an integer of size rsize into X's fractional part. We rely on + the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid + having to mask the values we store into it. */ +#define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ + do \ + { \ + X##_f[0] = (r); \ + X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> _FP_W_TYPE_SIZE); \ + X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> 2*_FP_W_TYPE_SIZE); \ + X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> 3*_FP_W_TYPE_SIZE); \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_1(D, S) \ + do \ + { \ + D##_f[0] = S##_f; \ + D##_f[1] = D##_f[2] = D##_f[3] = 0; \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_2(D, S) \ + do \ + { \ + D##_f[0] = S##_f0; \ + D##_f[1] = S##_f1; \ + D##_f[2] = D##_f[3] = 0; \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) + +#endif /* !SOFT_FP_OP_4_H */ |