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303 lines
9.2 KiB
303 lines
9.2 KiB
/* Software floating-point emulation. |
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Basic one-word fraction declaration and manipulation. |
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Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. |
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This file is part of the GNU C Library. |
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Contributed by Richard Henderson ([email protected]), |
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Jakub Jelinek ([email protected]), |
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David S. Miller ([email protected]) and |
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Peter Maydell ([email protected]). |
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The GNU C Library is free software; you can redistribute it and/or |
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modify it under the terms of the GNU Library General Public License as |
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published by the Free Software Foundation; either version 2 of the |
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License, or (at your option) any later version. |
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The GNU C Library is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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Library General Public License for more details. |
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You should have received a copy of the GNU Library General Public |
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License along with the GNU C Library; see the file COPYING.LIB. If |
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not, write to the Free Software Foundation, Inc., |
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59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ |
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#ifndef __MATH_EMU_OP_1_H__ |
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#define __MATH_EMU_OP_1_H__ |
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#define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f=0 |
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#define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) |
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#define _FP_FRAC_SET_1(X,I) (X##_f = I) |
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#define _FP_FRAC_HIGH_1(X) (X##_f) |
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#define _FP_FRAC_LOW_1(X) (X##_f) |
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#define _FP_FRAC_WORD_1(X,w) (X##_f) |
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#define _FP_FRAC_ADDI_1(X,I) (X##_f += I) |
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#define _FP_FRAC_SLL_1(X,N) \ |
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do { \ |
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if (__builtin_constant_p(N) && (N) == 1) \ |
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X##_f += X##_f; \ |
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else \ |
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X##_f <<= (N); \ |
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} while (0) |
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#define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) |
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/* Right shift with sticky-lsb. */ |
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#define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) |
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#define __FP_FRAC_SRS_1(X,N,sz) \ |
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(X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ |
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? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) |
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#define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) |
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#define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) |
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#define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) |
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#define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) |
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/* Predicates */ |
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#define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) |
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#define _FP_FRAC_ZEROP_1(X) (X##_f == 0) |
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#define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) |
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#define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) |
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#define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) |
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#define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) |
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#define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) |
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#define _FP_ZEROFRAC_1 0 |
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#define _FP_MINFRAC_1 1 |
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#define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) |
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/* |
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* Unpack the raw bits of a native fp value. Do not classify or |
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* normalize the data. |
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*/ |
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#define _FP_UNPACK_RAW_1(fs, X, val) \ |
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do { \ |
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union _FP_UNION_##fs _flo; _flo.flt = (val); \ |
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\ |
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X##_f = _flo.bits.frac; \ |
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X##_e = _flo.bits.exp; \ |
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X##_s = _flo.bits.sign; \ |
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} while (0) |
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#define _FP_UNPACK_RAW_1_P(fs, X, val) \ |
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do { \ |
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union _FP_UNION_##fs *_flo = \ |
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(union _FP_UNION_##fs *)(val); \ |
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\ |
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X##_f = _flo->bits.frac; \ |
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X##_e = _flo->bits.exp; \ |
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X##_s = _flo->bits.sign; \ |
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} while (0) |
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/* |
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* Repack the raw bits of a native fp value. |
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*/ |
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#define _FP_PACK_RAW_1(fs, val, X) \ |
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do { \ |
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union _FP_UNION_##fs _flo; \ |
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\ |
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_flo.bits.frac = X##_f; \ |
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_flo.bits.exp = X##_e; \ |
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_flo.bits.sign = X##_s; \ |
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\ |
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(val) = _flo.flt; \ |
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} while (0) |
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#define _FP_PACK_RAW_1_P(fs, val, X) \ |
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do { \ |
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union _FP_UNION_##fs *_flo = \ |
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(union _FP_UNION_##fs *)(val); \ |
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\ |
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_flo->bits.frac = X##_f; \ |
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_flo->bits.exp = X##_e; \ |
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_flo->bits.sign = X##_s; \ |
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} while (0) |
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/* |
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* Multiplication algorithms: |
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*/ |
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/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the |
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multiplication immediately. */ |
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#define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ |
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do { \ |
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R##_f = X##_f * Y##_f; \ |
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/* Normalize since we know where the msb of the multiplicands \ |
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were (bit B), we know that the msb of the of the product is \ |
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at either 2B or 2B-1. */ \ |
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_FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \ |
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} while (0) |
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/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ |
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#define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ |
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do { \ |
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_FP_W_TYPE _Z_f0, _Z_f1; \ |
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doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ |
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/* Normalize since we know where the msb of the multiplicands \ |
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were (bit B), we know that the msb of the of the product is \ |
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at either 2B or 2B-1. */ \ |
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_FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \ |
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R##_f = _Z_f0; \ |
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} while (0) |
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/* Finally, a simple widening multiply algorithm. What fun! */ |
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#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ |
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do { \ |
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_FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ |
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\ |
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/* split the words in half */ \ |
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_xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ |
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_xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ |
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_yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ |
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_yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ |
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\ |
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/* multiply the pieces */ \ |
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_z_f0 = _xl * _yl; \ |
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_a_f0 = _xh * _yl; \ |
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_a_f1 = _xl * _yh; \ |
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_z_f1 = _xh * _yh; \ |
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\ |
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/* reassemble into two full words */ \ |
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if ((_a_f0 += _a_f1) < _a_f1) \ |
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_z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ |
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_a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ |
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_a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ |
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_FP_FRAC_ADD_2(_z, _z, _a); \ |
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\ |
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/* normalize */ \ |
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_FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ |
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R##_f = _z_f0; \ |
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} while (0) |
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/* |
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* Division algorithms: |
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*/ |
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/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the |
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division immediately. Give this macro either _FP_DIV_HELP_imm for |
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C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you |
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choose will depend on what the compiler does with divrem4. */ |
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#define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ |
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do { \ |
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_FP_W_TYPE _q, _r; \ |
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X##_f <<= (X##_f < Y##_f \ |
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? R##_e--, _FP_WFRACBITS_##fs \ |
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: _FP_WFRACBITS_##fs - 1); \ |
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doit(_q, _r, X##_f, Y##_f); \ |
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R##_f = _q | (_r != 0); \ |
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} while (0) |
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/* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd |
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that may be useful in this situation. This first is for a primitive |
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that requires normalization, the second for one that does not. Look |
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for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ |
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#define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ |
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do { \ |
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_FP_W_TYPE _nh, _nl, _q, _r, _y; \ |
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\ |
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/* Normalize Y -- i.e. make the most significant bit set. */ \ |
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_y = Y##_f << _FP_WFRACXBITS_##fs; \ |
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\ |
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/* Shift X op correspondingly high, that is, up one full word. */ \ |
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if (X##_f < Y##_f) \ |
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{ \ |
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R##_e--; \ |
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_nl = 0; \ |
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_nh = X##_f; \ |
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} \ |
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else \ |
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{ \ |
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_nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ |
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_nh = X##_f >> 1; \ |
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} \ |
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\ |
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udiv_qrnnd(_q, _r, _nh, _nl, _y); \ |
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R##_f = _q | (_r != 0); \ |
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} while (0) |
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#define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ |
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do { \ |
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_FP_W_TYPE _nh, _nl, _q, _r; \ |
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if (X##_f < Y##_f) \ |
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{ \ |
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R##_e--; \ |
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_nl = X##_f << _FP_WFRACBITS_##fs; \ |
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_nh = X##_f >> _FP_WFRACXBITS_##fs; \ |
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} \ |
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else \ |
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{ \ |
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_nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ |
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_nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ |
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} \ |
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udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ |
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R##_f = _q | (_r != 0); \ |
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} while (0) |
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/* |
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* Square root algorithms: |
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* We have just one right now, maybe Newton approximation |
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* should be added for those machines where division is fast. |
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*/ |
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#define _FP_SQRT_MEAT_1(R, S, T, X, q) \ |
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do { \ |
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while (q != _FP_WORK_ROUND) \ |
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{ \ |
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T##_f = S##_f + q; \ |
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if (T##_f <= X##_f) \ |
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{ \ |
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S##_f = T##_f + q; \ |
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X##_f -= T##_f; \ |
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R##_f += q; \ |
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} \ |
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_FP_FRAC_SLL_1(X, 1); \ |
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q >>= 1; \ |
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} \ |
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if (X##_f) \ |
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{ \ |
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if (S##_f < X##_f) \ |
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R##_f |= _FP_WORK_ROUND; \ |
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R##_f |= _FP_WORK_STICKY; \ |
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} \ |
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} while (0) |
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/* |
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* Assembly/disassembly for converting to/from integral types. |
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* No shifting or overflow handled here. |
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*/ |
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#define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) |
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#define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) |
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/* |
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* Convert FP values between word sizes |
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*/ |
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#define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ |
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do { \ |
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D##_f = S##_f; \ |
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if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ |
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{ \ |
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if (S##_c != FP_CLS_NAN) \ |
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_FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ |
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_FP_WFRACBITS_##sfs); \ |
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else \ |
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_FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ |
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} \ |
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else \ |
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D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ |
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} while (0) |
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#endif /* __MATH_EMU_OP_1_H__ */
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