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PK ! �B�� � Makefilenu �[��� # SPDX-License-Identifier: GPL-2.0 math-emu-common-objs = math.o fre.o fsqrt.o fsqrts.o frsqrtes.o mtfsf.o mtfsfi.o obj-$(CONFIG_MATH_EMULATION_HW_UNIMPLEMENTED) += $(math-emu-common-objs) obj-$(CONFIG_MATH_EMULATION_FULL) += $(math-emu-common-objs) fabs.o fadd.o \ fadds.o fcmpo.o fcmpu.o fctiw.o \ fctiwz.o fdiv.o fdivs.o fmadd.o \ fmadds.o fmsub.o fmsubs.o fmul.o \ fmuls.o fnabs.o fneg.o fnmadd.o \ fnmadds.o fnmsub.o fnmsubs.o fres.o \ frsp.o fsel.o lfs.o frsqrte.o fsub.o \ fsubs.o mcrfs.o mffs.o mtfsb0.o \ mtfsb1.o stfiwx.o stfs.o math.o \ fmr.o lfd.o stfd.o obj-$(CONFIG_SPE) += math_efp.o CFLAGS_fabs.o = -fno-builtin-fabs CFLAGS_math.o = -fno-builtin-fabs ccflags-y = -w PK ! ˛��$ �$ op-1.hnu �[��� /* Software floating-point emulation. Basic one-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. */ #ifndef __MATH_EMU_OP_1_H__ #define __MATH_EMU_OP_1_H__ #define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f=0 #define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) #define _FP_FRAC_SET_1(X,I) (X##_f = I) #define _FP_FRAC_HIGH_1(X) (X##_f) #define _FP_FRAC_LOW_1(X) (X##_f) #define _FP_FRAC_WORD_1(X,w) (X##_f) #define _FP_FRAC_ADDI_1(X,I) (X##_f += I) #define _FP_FRAC_SLL_1(X,N) \ do { \ if (__builtin_constant_p(N) && (N) == 1) \ X##_f += X##_f; \ else \ X##_f <<= (N); \ } while (0) #define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) /* Right shift with sticky-lsb. */ #define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) #define __FP_FRAC_SRS_1(X,N,sz) \ (X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) #define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) #define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) #define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) #define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) /* Predicates */ #define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) #define _FP_FRAC_ZEROP_1(X) (X##_f == 0) #define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) #define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) #define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) #define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) #define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) #define _FP_ZEROFRAC_1 0 #define _FP_MINFRAC_1 1 #define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) /* * Unpack the raw bits of a native fp value. Do not classify or * normalize the data. */ #define _FP_UNPACK_RAW_1(fs, X, val) \ do { \ union _FP_UNION_##fs _flo; _flo.flt = (val); \ \ X##_f = _flo.bits.frac; \ X##_e = _flo.bits.exp; \ X##_s = _flo.bits.sign; \ } while (0) #define _FP_UNPACK_RAW_1_P(fs, X, val) \ do { \ union _FP_UNION_##fs *_flo = \ (union _FP_UNION_##fs *)(val); \ \ X##_f = _flo->bits.frac; \ 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_1(fs, val, X) \ do { \ union _FP_UNION_##fs _flo; \ \ _flo.bits.frac = X##_f; \ _flo.bits.exp = X##_e; \ _flo.bits.sign = X##_s; \ \ (val) = _flo.flt; \ } while (0) #define _FP_PACK_RAW_1_P(fs, val, X) \ do { \ union _FP_UNION_##fs *_flo = \ (union _FP_UNION_##fs *)(val); \ \ _flo->bits.frac = X##_f; \ _flo->bits.exp = X##_e; \ _flo->bits.sign = X##_s; \ } while (0) /* * Multiplication algorithms: */ /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the multiplication immediately. */ #define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ do { \ R##_f = X##_f * Y##_f; \ /* 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_1(R, wfracbits-1, 2*wfracbits); \ } while (0) /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ #define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ do { \ _FP_W_TYPE _Z_f0, _Z_f1; \ doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ /* 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_2(_Z, wfracbits-1, 2*wfracbits); \ R##_f = _Z_f0; \ } while (0) /* Finally, a simple widening multiply algorithm. What fun! */ #define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ do { \ _FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ \ /* split the words in half */ \ _xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ _xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ _yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ _yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ \ /* multiply the pieces */ \ _z_f0 = _xl * _yl; \ _a_f0 = _xh * _yl; \ _a_f1 = _xl * _yh; \ _z_f1 = _xh * _yh; \ \ /* reassemble into two full words */ \ if ((_a_f0 += _a_f1) < _a_f1) \ _z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ _a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ _a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ _FP_FRAC_ADD_2(_z, _z, _a); \ \ /* normalize */ \ _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ R##_f = _z_f0; \ } while (0) /* * Division algorithms: */ /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the division immediately. Give this macro either _FP_DIV_HELP_imm for C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you choose will depend on what the compiler does with divrem4. */ #define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ do { \ _FP_W_TYPE _q, _r; \ X##_f <<= (X##_f < Y##_f \ ? R##_e--, _FP_WFRACBITS_##fs \ : _FP_WFRACBITS_##fs - 1); \ doit(_q, _r, X##_f, Y##_f); \ R##_f = _q | (_r != 0); \ } while (0) /* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd that may be useful in this situation. This first is for a primitive that requires normalization, the second for one that does not. Look for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ #define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ do { \ _FP_W_TYPE _nh, _nl, _q, _r, _y; \ \ /* Normalize Y -- i.e. make the most significant bit set. */ \ _y = Y##_f << _FP_WFRACXBITS_##fs; \ \ /* Shift X op correspondingly high, that is, up one full word. */ \ if (X##_f < Y##_f) \ { \ R##_e--; \ _nl = 0; \ _nh = X##_f; \ } \ else \ { \ _nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ _nh = X##_f >> 1; \ } \ \ udiv_qrnnd(_q, _r, _nh, _nl, _y); \ R##_f = _q | (_r != 0); \ } while (0) #define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ do { \ _FP_W_TYPE _nh, _nl, _q, _r; \ if (X##_f < Y##_f) \ { \ R##_e--; \ _nl = X##_f << _FP_WFRACBITS_##fs; \ _nh = X##_f >> _FP_WFRACXBITS_##fs; \ } \ else \ { \ _nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ _nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ } \ udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ R##_f = _q | (_r != 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_1(R, S, T, X, q) \ do { \ while (q != _FP_WORK_ROUND) \ { \ T##_f = S##_f + q; \ if (T##_f <= X##_f) \ { \ S##_f = T##_f + q; \ X##_f -= T##_f; \ R##_f += q; \ } \ _FP_FRAC_SLL_1(X, 1); \ q >>= 1; \ } \ if (X##_f) \ { \ if (S##_f < X##_f) \ R##_f |= _FP_WORK_ROUND; \ R##_f |= _FP_WORK_STICKY; \ } \ } while (0) /* * Assembly/disassembly for converting to/from integral types. * No shifting or overflow handled here. */ #define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) #define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) /* * Convert FP values between word sizes */ #define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ do { \ D##_f = S##_f; \ if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ { \ if (S##_c != FP_CLS_NAN) \ _FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ _FP_WFRACBITS_##sfs); \ else \ _FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ } \ else \ D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ } while (0) #endif /* __MATH_EMU_OP_1_H__ */ PK ! ��k��\ �\ op-4.hnu �[��� /* Software floating-point emulation. Basic four-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. */ #ifndef __MATH_EMU_OP_4_H__ #define __MATH_EMU_OP_4_H__ #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 _up, _down, _skip, _i; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _up = (N) % _FP_W_TYPE_SIZE; \ _down = _FP_W_TYPE_SIZE - _up; \ if (!_up) \ for (_i = 3; _i >= _skip; --_i) \ X##_f[_i] = X##_f[_i-_skip]; \ else \ { \ for (_i = 3; _i > _skip; --_i) \ X##_f[_i] = X##_f[_i-_skip] << _up \ | X##_f[_i-_skip-1] >> _down; \ X##_f[_i--] = X##_f[0] << _up; \ } \ for (; _i >= 0; --_i) \ X##_f[_i] = 0; \ } while (0) /* This one was broken too */ #define _FP_FRAC_SRL_4(X,N) \ do { \ _FP_I_TYPE _up, _down, _skip, _i; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _down = (N) % _FP_W_TYPE_SIZE; \ _up = _FP_W_TYPE_SIZE - _down; \ if (!_down) \ for (_i = 0; _i <= 3-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip]; \ else \ { \ for (_i = 0; _i < 3-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip] >> _down \ | X##_f[_i+_skip+1] << _up; \ X##_f[_i++] = X##_f[3] >> _down; \ } \ for (; _i < 4; ++_i) \ X##_f[_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_SRS_4(X,N,size) \ do { \ _FP_I_TYPE _up, _down, _skip, _i; \ _FP_W_TYPE _s; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _down = (N) % _FP_W_TYPE_SIZE; \ _up = _FP_W_TYPE_SIZE - _down; \ for (_s = _i = 0; _i < _skip; ++_i) \ _s |= X##_f[_i]; \ _s |= X##_f[_i] << _up; \ /* s is now != 0 if we want to set the LSbit */ \ if (!_down) \ for (_i = 0; _i <= 3-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip]; \ else \ { \ for (_i = 0; _i < 3-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip] >> _down \ | X##_f[_i+_skip+1] << _up; \ X##_f[_i++] = X##_f[3] >> _down; \ } \ for (; _i < 4; ++_i) \ X##_f[_i] = 0; \ /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ X##_f[0] |= (_s != 0); \ } 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_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[2]); \ 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 _flo; _flo.flt = (val); \ X##_f[0] = _flo.bits.frac0; \ X##_f[1] = _flo.bits.frac1; \ X##_f[2] = _flo.bits.frac2; \ X##_f[3] = _flo.bits.frac3; \ X##_e = _flo.bits.exp; \ X##_s = _flo.bits.sign; \ } while (0) #define _FP_UNPACK_RAW_4_P(fs, X, val) \ do { \ union _FP_UNION_##fs *_flo = \ (union _FP_UNION_##fs *)(val); \ \ X##_f[0] = _flo->bits.frac0; \ X##_f[1] = _flo->bits.frac1; \ X##_f[2] = _flo->bits.frac2; \ X##_f[3] = _flo->bits.frac3; \ X##_e = _flo->bits.exp; \ X##_s = _flo->bits.sign; \ } while (0) #define _FP_PACK_RAW_4(fs, val, X) \ do { \ union _FP_UNION_##fs _flo; \ _flo.bits.frac0 = X##_f[0]; \ _flo.bits.frac1 = X##_f[1]; \ _flo.bits.frac2 = X##_f[2]; \ _flo.bits.frac3 = X##_f[3]; \ _flo.bits.exp = X##_e; \ _flo.bits.sign = X##_s; \ (val) = _flo.flt; \ } while (0) #define _FP_PACK_RAW_4_P(fs, val, X) \ do { \ union _FP_UNION_##fs *_flo = \ (union _FP_UNION_##fs *)(val); \ \ _flo->bits.frac0 = X##_f[0]; \ _flo->bits.frac1 = X##_f[1]; \ _flo->bits.frac2 = X##_f[2]; \ _flo->bits.frac3 = X##_f[3]; \ _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_4_wide(wfracbits, R, X, Y, doit) \ do { \ _FP_FRAC_DECL_8(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ _FP_FRAC_DECL_2(_d); _FP_FRAC_DECL_2(_e); _FP_FRAC_DECL_2(_f); \ \ doit(_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0), X##_f[0], Y##_f[0]); \ doit(_b_f1, _b_f0, X##_f[0], Y##_f[1]); \ doit(_c_f1, _c_f0, X##_f[1], Y##_f[0]); \ doit(_d_f1, _d_f0, X##_f[1], Y##_f[1]); \ doit(_e_f1, _e_f0, X##_f[0], Y##_f[2]); \ doit(_f_f1, _f_f0, X##_f[2], Y##_f[0]); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ _FP_FRAC_WORD_8(_z,1), 0,_b_f1,_b_f0, \ 0,0,_FP_FRAC_WORD_8(_z,1)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ _FP_FRAC_WORD_8(_z,1), 0,_c_f1,_c_f0, \ _FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \ _FP_FRAC_WORD_8(_z,1)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ _FP_FRAC_WORD_8(_z,2), 0,_d_f1,_d_f0, \ 0,_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ _FP_FRAC_WORD_8(_z,2), 0,_e_f1,_e_f0, \ _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ _FP_FRAC_WORD_8(_z,2)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ _FP_FRAC_WORD_8(_z,2), 0,_f_f1,_f_f0, \ _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \ _FP_FRAC_WORD_8(_z,2)); \ doit(_b_f1, _b_f0, X##_f[0], Y##_f[3]); \ doit(_c_f1, _c_f0, X##_f[3], Y##_f[0]); \ doit(_d_f1, _d_f0, X##_f[1], Y##_f[2]); \ doit(_e_f1, _e_f0, X##_f[2], Y##_f[1]); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3), 0,_b_f1,_b_f0, \ 0,_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3), 0,_c_f1,_c_f0, \ _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3), 0,_d_f1,_d_f0, \ _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3), 0,_e_f1,_e_f0, \ _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \ _FP_FRAC_WORD_8(_z,3)); \ doit(_b_f1, _b_f0, X##_f[2], Y##_f[2]); \ doit(_c_f1, _c_f0, X##_f[1], Y##_f[3]); \ doit(_d_f1, _d_f0, X##_f[3], Y##_f[1]); \ doit(_e_f1, _e_f0, X##_f[2], Y##_f[3]); \ doit(_f_f1, _f_f0, X##_f[3], Y##_f[2]); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ _FP_FRAC_WORD_8(_z,4), 0,_b_f1,_b_f0, \ 0,_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ _FP_FRAC_WORD_8(_z,4), 0,_c_f1,_c_f0, \ _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ _FP_FRAC_WORD_8(_z,4)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ _FP_FRAC_WORD_8(_z,4), 0,_d_f1,_d_f0, \ _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \ _FP_FRAC_WORD_8(_z,4)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ _FP_FRAC_WORD_8(_z,5), 0,_e_f1,_e_f0, \ 0,_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5)); \ __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ _FP_FRAC_WORD_8(_z,5), 0,_f_f1,_f_f0, \ _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ _FP_FRAC_WORD_8(_z,5)); \ doit(_b_f1, _b_f0, X##_f[3], Y##_f[3]); \ __FP_FRAC_ADD_2(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \ _b_f1,_b_f0, \ _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6)); \ \ /* 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(_z, wfracbits-1, 2*wfracbits); \ __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \ } while (0) #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ do { \ _FP_FRAC_DECL_8(_z); \ \ mpn_mul_n(_z_f, _x_f, _y_f, 4); \ \ /* 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(_z, wfracbits-1, 2*wfracbits); \ __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \ _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_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 _t; \ umul_ppmm(p1,p0,m,n0); \ umul_ppmm(p2,_t,m,n1); \ __FP_FRAC_ADDI_2(p2,p1,_t); \ umul_ppmm(p3,_t,m,n2); \ __FP_FRAC_ADDI_2(p3,p2,_t); \ } while (0) /* * Division algorithms: */ #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ do { \ int _i; \ _FP_FRAC_DECL_4(_n); _FP_FRAC_DECL_4(_m); \ _FP_FRAC_SET_4(_n, _FP_ZEROFRAC_4); \ if (_FP_FRAC_GT_4(X, Y)) \ { \ _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 (_i = 3; ; _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[_i] can be either \ (UWtype)-1 or (UWtype)-2. */ \ R##_f[_i] = -1; \ if (!_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], _n_f[_i]); \ _FP_FRAC_SUB_4(X, Y, X); \ if (X##_f[3] > Y##_f[3]) \ { \ R##_f[_i] = -2; \ _FP_FRAC_ADD_4(X, Y, X); \ } \ } \ else \ { \ udiv_qrnnd(R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ umul_ppppmnnn(_m_f[3], _m_f[2], _m_f[1], _m_f[0], \ R##_f[_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] = _n_f[_i]; \ if (_FP_FRAC_GT_4(_m, X)) \ { \ R##_f[_i]--; \ _FP_FRAC_ADD_4(X, Y, X); \ if (_FP_FRAC_GE_4(X, Y) && _FP_FRAC_GT_4(_m, X)) \ { \ R##_f[_i]--; \ _FP_FRAC_ADD_4(X, Y, X); \ } \ } \ _FP_FRAC_DEC_4(X, _m); \ if (!_i) \ { \ if (!_FP_FRAC_EQ_4(X, _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 { \ int _c1, _c2; \ r0 = x0 + y0; \ _c1 = r0 < x0; \ r1 = x1 + y1; \ _c2 = r1 < x1; \ r1 += _c1; \ _c2 |= r1 < _c1; \ r2 = x2 + y2 + _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 { \ int _c1, _c2, _c3; \ r0 = x0 + y0; \ _c1 = r0 < x0; \ r1 = x1 + y1; \ _c2 = r1 < x1; \ r1 += _c1; \ _c2 |= r1 < _c1; \ r2 = x2 + y2; \ _c3 = r2 < x2; \ r2 += _c2; \ _c3 |= r2 < _c2; \ r3 = x3 + y3 + _c3; \ } while (0) #endif #ifndef __FP_FRAC_SUB_3 #define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ do { \ int _c1, _c2; \ r0 = x0 - y0; \ _c1 = r0 > x0; \ r1 = x1 - y1; \ _c2 = r1 > x1; \ r1 -= _c1; \ _c2 |= r1 > _c1; \ r2 = x2 - y2 - _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 { \ int _c1, _c2, _c3; \ r0 = x0 - y0; \ _c1 = r0 > x0; \ r1 = x1 - y1; \ _c2 = r1 > x1; \ r1 -= _c1; \ _c2 |= r1 > _c1; \ r2 = x2 - y2; \ _c3 = r2 > x2; \ r2 -= _c2; \ _c3 |= r2 > _c2; \ r3 = x3 - y3 - _c3; \ } while (0) #endif #ifndef __FP_FRAC_DEC_3 #define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0) \ do { \ UWtype _t0, _t1, _t2; \ _t0 = x0, _t1 = x1, _t2 = x2; \ __FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _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 _t0, _t1, _t2, _t3; \ _t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3; \ __FP_FRAC_SUB_4 (x3,x2,x1,x0,_t3,_t2,_t1,_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 _t; \ _t = ((x0 += i) < i); \ x1 += _t; _t = (x1 < _t); \ x2 += _t; _t = (x2 < _t); \ x3 += _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_CONV_1_4(dfs, sfs, D, S) \ do { \ if (S##_c != FP_CLS_NAN) \ _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ _FP_WFRACBITS_##sfs); \ else \ _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ D##_f = S##_f[0]; \ } while (0) #define _FP_FRAC_CONV_2_4(dfs, sfs, D, S) \ do { \ if (S##_c != FP_CLS_NAN) \ _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ _FP_WFRACBITS_##sfs); \ else \ _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ 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 <<= _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 <<= _FP_W_TYPE_SIZE; \ r += X##_f[2]; \ r <<= _FP_W_TYPE_SIZE; \ r += X##_f[1]; \ 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_CONV_4_1(dfs, sfs, D, S) \ do { \ D##_f[0] = S##_f; \ D##_f[1] = D##_f[2] = D##_f[3] = 0; \ _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ } while (0) #define _FP_FRAC_CONV_4_2(dfs, sfs, D, S) \ do { \ D##_f[0] = S##_f0; \ D##_f[1] = S##_f1; \ D##_f[2] = D##_f[3] = 0; \ _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ } while (0) #endif PK ! �("�N �N op-2.hnu �[��� /* 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. */ #ifndef __MATH_EMU_OP_2_H__ #define __MATH_EMU_OP_2_H__ #define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0 = 0, X##_f1 = 0 #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) ( \ (void) (((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); \ } \ 0; \ }) \ : ({ \ X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \ X##_f0 = 0; \ }))) #define _FP_FRAC_SRL_2(X, N) ( \ (void) (((N) < _FP_W_TYPE_SIZE) \ ? ({ \ X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \ X##_f1 >>= (N); \ }) \ : ({ \ X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \ X##_f1 = 0; \ }))) /* Right shift with sticky-lsb. */ #define _FP_FRAC_SRS_2(X, N, sz) ( \ (void) (((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); \ }) \ : ({ \ X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) \ | ((((N) == _FP_W_TYPE_SIZE \ ? 0 \ : (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \ | X##_f0) != 0)); \ X##_f1 = 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_CLEAR_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(wfracbits, 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, wfracbits-1, 2*wfracbits); \ 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(wfracbits, 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, wfracbits-1, 2*wfracbits); \ R##_f0 = _FP_FRAC_WORD_4(_z,0); \ R##_f1 = _FP_FRAC_WORD_4(_z,1); \ } while (0) #define _FP_MUL_MEAT_2_gmp(wfracbits, 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, wfracbits-1, 2*wfracbits); \ R##_f0 = _z_f[0]; \ R##_f1 = _z_f[1]; \ } while (0) /* Do at most 120x120=240 bits multiplication using double floating point multiplication. This is useful if floating point multiplication has much bigger throughput than integer multiply. It is supposed to work for _FP_W_TYPE_SIZE 64 and wfracbits between 106 and 120 only. Caller guarantees that X and Y has (1LLL << (wfracbits - 1)) set. SETFETZ is a macro which will disable all FPU exceptions and set rounding towards zero, RESETFE should optionally reset it back. */ #define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \ do { \ static const double _const[] = { \ /* 2^-24 */ 5.9604644775390625e-08, \ /* 2^-48 */ 3.5527136788005009e-15, \ /* 2^-72 */ 2.1175823681357508e-22, \ /* 2^-96 */ 1.2621774483536189e-29, \ /* 2^28 */ 2.68435456e+08, \ /* 2^4 */ 1.600000e+01, \ /* 2^-20 */ 9.5367431640625e-07, \ /* 2^-44 */ 5.6843418860808015e-14, \ /* 2^-68 */ 3.3881317890172014e-21, \ /* 2^-92 */ 2.0194839173657902e-28, \ /* 2^-116 */ 1.2037062152420224e-35}; \ double _a240, _b240, _c240, _d240, _e240, _f240, \ _g240, _h240, _i240, _j240, _k240; \ union { double d; UDItype i; } _l240, _m240, _n240, _o240, \ _p240, _q240, _r240, _s240; \ UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \ \ if (wfracbits < 106 || wfracbits > 120) \ abort(); \ \ setfetz; \ \ _e240 = (double)(long)(X##_f0 & 0xffffff); \ _j240 = (double)(long)(Y##_f0 & 0xffffff); \ _d240 = (double)(long)((X##_f0 >> 24) & 0xffffff); \ _i240 = (double)(long)((Y##_f0 >> 24) & 0xffffff); \ _c240 = (double)(long)(((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \ _h240 = (double)(long)(((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \ _b240 = (double)(long)((X##_f1 >> 8) & 0xffffff); \ _g240 = (double)(long)((Y##_f1 >> 8) & 0xffffff); \ _a240 = (double)(long)(X##_f1 >> 32); \ _f240 = (double)(long)(Y##_f1 >> 32); \ _e240 *= _const[3]; \ _j240 *= _const[3]; \ _d240 *= _const[2]; \ _i240 *= _const[2]; \ _c240 *= _const[1]; \ _h240 *= _const[1]; \ _b240 *= _const[0]; \ _g240 *= _const[0]; \ _s240.d = _e240*_j240;\ _r240.d = _d240*_j240 + _e240*_i240;\ _q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240;\ _p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240;\ _o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240;\ _n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \ _m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \ _l240.d = _a240*_g240 + _b240*_f240; \ _k240 = _a240*_f240; \ _r240.d += _s240.d; \ _q240.d += _r240.d; \ _p240.d += _q240.d; \ _o240.d += _p240.d; \ _n240.d += _o240.d; \ _m240.d += _n240.d; \ _l240.d += _m240.d; \ _k240 += _l240.d; \ _s240.d -= ((_const[10]+_s240.d)-_const[10]); \ _r240.d -= ((_const[9]+_r240.d)-_const[9]); \ _q240.d -= ((_const[8]+_q240.d)-_const[8]); \ _p240.d -= ((_const[7]+_p240.d)-_const[7]); \ _o240.d += _const[7]; \ _n240.d += _const[6]; \ _m240.d += _const[5]; \ _l240.d += _const[4]; \ if (_s240.d != 0.0) _y240 = 1; \ if (_r240.d != 0.0) _y240 = 1; \ if (_q240.d != 0.0) _y240 = 1; \ if (_p240.d != 0.0) _y240 = 1; \ _t240 = (DItype)_k240; \ _u240 = _l240.i; \ _v240 = _m240.i; \ _w240 = _n240.i; \ _x240 = _o240.i; \ R##_f1 = (_t240 << (128 - (wfracbits - 1))) \ | ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104)); \ R##_f0 = ((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \ | ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \ | ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \ | ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \ | _y240; \ resetfe; \ } 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) \ (void) (((rsize) <= _FP_W_TYPE_SIZE) \ ? ({ (r) = X##_f0; }) \ : ({ \ (r) = X##_f1; \ (r) <<= _FP_W_TYPE_SIZE; \ (r) += X##_f0; \ })) #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) #endif PK ! P�#)� � quad.hnu �[��� /* Software floating-point emulation. Definitions for IEEE Quad Precision. 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. */ #ifndef __MATH_EMU_QUAD_H__ #define __MATH_EMU_QUAD_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_Q (4*_FP_W_TYPE_SIZE) #else #define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE) #endif #define _FP_FRACBITS_Q 113 #define _FP_FRACXBITS_Q (_FP_FRACTBITS_Q - _FP_FRACBITS_Q) #define _FP_WFRACBITS_Q (_FP_WORKBITS + _FP_FRACBITS_Q) #define _FP_WFRACXBITS_Q (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q) #define _FP_EXPBITS_Q 15 #define _FP_EXPBIAS_Q 16383 #define _FP_EXPMAX_Q 32767 #define _FP_QNANBIT_Q \ ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE) #define _FP_IMPLBIT_Q \ ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE) #define _FP_OVERFLOW_Q \ ((_FP_W_TYPE)1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE)) #if _FP_W_TYPE_SIZE < 64 union _FP_UNION_Q { long double flt; struct { #if __BYTE_ORDER == __BIG_ENDIAN unsigned sign : 1; unsigned exp : _FP_EXPBITS_Q; unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); unsigned long frac2 : _FP_W_TYPE_SIZE; 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 long frac2 : _FP_W_TYPE_SIZE; unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); unsigned exp : _FP_EXPBITS_Q; unsigned sign : 1; #endif /* not bigendian */ } bits __attribute__((packed)); }; #define FP_DECL_Q(X) _FP_DECL(4,X) #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_4(Q,X,val) #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_4_P(Q,X,val) #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_4(Q,val,X) #define FP_PACK_RAW_QP(val,X) \ do { \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_4_P(Q,val,X); \ } while (0) #define FP_UNPACK_Q(X,val) \ do { \ _FP_UNPACK_RAW_4(Q,X,val); \ _FP_UNPACK_CANONICAL(Q,4,X); \ } while (0) #define FP_UNPACK_QP(X,val) \ do { \ _FP_UNPACK_RAW_4_P(Q,X,val); \ _FP_UNPACK_CANONICAL(Q,4,X); \ } while (0) #define FP_PACK_Q(val,X) \ do { \ _FP_PACK_CANONICAL(Q,4,X); \ _FP_PACK_RAW_4(Q,val,X); \ } while (0) #define FP_PACK_QP(val,X) \ do { \ _FP_PACK_CANONICAL(Q,4,X); \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_4_P(Q,val,X); \ } while (0) #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,4,X) #define FP_NEG_Q(R,X) _FP_NEG(Q,4,R,X) #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,4,R,X,Y) #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,4,R,X,Y) #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,4,R,X,Y) #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,4,R,X,Y) #define FP_SQRT_Q(R,X) _FP_SQRT(Q,4,R,X) #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_4(R,S,T,X,Q) #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,4,r,X,Y,un) #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,4,r,X,Y) #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,4,r,X,rsz,rsg) #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,4,r,X,rsz,rsg) #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,4,X,r,rs,rt) #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4(X) #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4(X) #else /* not _FP_W_TYPE_SIZE < 64 */ union _FP_UNION_Q { long double flt /* __attribute__((mode(TF))) */ ; struct { #if __BYTE_ORDER == __BIG_ENDIAN unsigned sign : 1; unsigned exp : _FP_EXPBITS_Q; unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; unsigned long frac0 : _FP_W_TYPE_SIZE; #else unsigned long frac0 : _FP_W_TYPE_SIZE; unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; unsigned exp : _FP_EXPBITS_Q; unsigned sign : 1; #endif } bits; }; #define FP_DECL_Q(X) _FP_DECL(2,X) #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_2(Q,X,val) #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_2_P(Q,X,val) #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_2(Q,val,X) #define FP_PACK_RAW_QP(val,X) \ do { \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_2_P(Q,val,X); \ } while (0) #define FP_UNPACK_Q(X,val) \ do { \ _FP_UNPACK_RAW_2(Q,X,val); \ _FP_UNPACK_CANONICAL(Q,2,X); \ } while (0) #define FP_UNPACK_QP(X,val) \ do { \ _FP_UNPACK_RAW_2_P(Q,X,val); \ _FP_UNPACK_CANONICAL(Q,2,X); \ } while (0) #define FP_PACK_Q(val,X) \ do { \ _FP_PACK_CANONICAL(Q,2,X); \ _FP_PACK_RAW_2(Q,val,X); \ } while (0) #define FP_PACK_QP(val,X) \ do { \ _FP_PACK_CANONICAL(Q,2,X); \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_2_P(Q,val,X); \ } while (0) #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,2,X) #define FP_NEG_Q(R,X) _FP_NEG(Q,2,R,X) #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,2,R,X,Y) #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,2,R,X,Y) #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,2,R,X,Y) #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,2,R,X,Y) #define FP_SQRT_Q(R,X) _FP_SQRT(Q,2,R,X) #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,2,r,X,Y,un) #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,2,r,X,Y) #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,2,r,X,rsz,rsg) #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,2,r,X,rsz,rsg) #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,2,X,r,rs,rt) #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2(X) #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2(X) #endif /* not _FP_W_TYPE_SIZE < 64 */ #endif /* __MATH_EMU_QUAD_H__ */ PK ! �&0%�h �h op-common.hnu �[��� /* Software floating-point emulation. Common operations. 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. */ #ifndef __MATH_EMU_OP_COMMON_H__ #define __MATH_EMU_OP_COMMON_H__ #define _FP_DECL(wc, X) \ _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0; \ _FP_FRAC_DECL_##wc(X) /* * Finish truly unpacking a native fp value by classifying the kind * of fp value and normalizing both the exponent and the fraction. */ #define _FP_UNPACK_CANONICAL(fs, wc, X) \ do { \ switch (X##_e) \ { \ default: \ _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ X##_e -= _FP_EXPBIAS_##fs; \ X##_c = FP_CLS_NORMAL; \ break; \ \ case 0: \ if (_FP_FRAC_ZEROP_##wc(X)) \ X##_c = FP_CLS_ZERO; \ else \ { \ /* a denormalized number */ \ _FP_I_TYPE _shift; \ _FP_FRAC_CLZ_##wc(_shift, X); \ _shift -= _FP_FRACXBITS_##fs; \ _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \ X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \ X##_c = FP_CLS_NORMAL; \ FP_SET_EXCEPTION(FP_EX_DENORM); \ if (FP_DENORM_ZERO) \ { \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ X##_c = FP_CLS_ZERO; \ } \ } \ break; \ \ case _FP_EXPMAX_##fs: \ if (_FP_FRAC_ZEROP_##wc(X)) \ X##_c = FP_CLS_INF; \ else \ { \ X##_c = FP_CLS_NAN; \ /* Check for signaling NaN */ \ if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_SNAN); \ } \ break; \ } \ } while (0) /* * Before packing the bits back into the native fp result, take care * of such mundane things as rounding and overflow. Also, for some * kinds of fp values, the original parts may not have been fully * extracted -- but that is ok, we can regenerate them now. */ #define _FP_PACK_CANONICAL(fs, wc, X) \ do { \ switch (X##_c) \ { \ case FP_CLS_NORMAL: \ X##_e += _FP_EXPBIAS_##fs; \ if (X##_e > 0) \ { \ _FP_ROUND(wc, X); \ if (_FP_FRAC_OVERP_##wc(fs, X)) \ { \ _FP_FRAC_CLEAR_OVERP_##wc(fs, X); \ X##_e++; \ } \ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ if (X##_e >= _FP_EXPMAX_##fs) \ { \ /* overflow */ \ switch (FP_ROUNDMODE) \ { \ case FP_RND_NEAREST: \ X##_c = FP_CLS_INF; \ break; \ case FP_RND_PINF: \ if (!X##_s) X##_c = FP_CLS_INF; \ break; \ case FP_RND_MINF: \ if (X##_s) X##_c = FP_CLS_INF; \ break; \ } \ if (X##_c == FP_CLS_INF) \ { \ /* Overflow to infinity */ \ X##_e = _FP_EXPMAX_##fs; \ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ } \ else \ { \ /* Overflow to maximum normal */ \ X##_e = _FP_EXPMAX_##fs - 1; \ _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ } \ FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ } \ } \ else \ { \ /* we've got a denormalized number */ \ X##_e = -X##_e + 1; \ if (X##_e <= _FP_WFRACBITS_##fs) \ { \ _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \ if (_FP_FRAC_HIGH_##fs(X) \ & (_FP_OVERFLOW_##fs >> 1)) \ { \ X##_e = 1; \ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ } \ else \ { \ _FP_ROUND(wc, X); \ if (_FP_FRAC_HIGH_##fs(X) \ & (_FP_OVERFLOW_##fs >> 1)) \ { \ X##_e = 1; \ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ } \ else \ { \ X##_e = 0; \ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ } \ } \ if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) || \ (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \ FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ } \ else \ { \ /* underflow to zero */ \ X##_e = 0; \ if (!_FP_FRAC_ZEROP_##wc(X)) \ { \ _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ _FP_ROUND(wc, X); \ _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \ } \ FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ } \ } \ break; \ \ case FP_CLS_ZERO: \ X##_e = 0; \ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ break; \ \ case FP_CLS_INF: \ X##_e = _FP_EXPMAX_##fs; \ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ break; \ \ case FP_CLS_NAN: \ X##_e = _FP_EXPMAX_##fs; \ if (!_FP_KEEPNANFRACP) \ { \ _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ X##_s = _FP_NANSIGN_##fs; \ } \ else \ _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ break; \ } \ } while (0) /* This one accepts raw argument and not cooked, returns * 1 if X is a signaling NaN. */ #define _FP_ISSIGNAN(fs, wc, X) \ ({ \ int __ret = 0; \ if (X##_e == _FP_EXPMAX_##fs) \ { \ if (!_FP_FRAC_ZEROP_##wc(X) \ && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ __ret = 1; \ } \ __ret; \ }) /* * Main addition routine. The input values should be cooked. */ #define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ do { \ switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ { \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ { \ /* shift the smaller number so that its exponent matches the larger */ \ _FP_I_TYPE diff = X##_e - Y##_e; \ \ if (diff < 0) \ { \ diff = -diff; \ if (diff <= _FP_WFRACBITS_##fs) \ _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \ else if (!_FP_FRAC_ZEROP_##wc(X)) \ _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ R##_e = Y##_e; \ } \ else \ { \ if (diff > 0) \ { \ if (diff <= _FP_WFRACBITS_##fs) \ _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \ else if (!_FP_FRAC_ZEROP_##wc(Y)) \ _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ } \ R##_e = X##_e; \ } \ \ R##_c = FP_CLS_NORMAL; \ \ if (X##_s == Y##_s) \ { \ R##_s = X##_s; \ _FP_FRAC_ADD_##wc(R, X, Y); \ if (_FP_FRAC_OVERP_##wc(fs, R)) \ { \ _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ R##_e++; \ } \ } \ else \ { \ R##_s = X##_s; \ _FP_FRAC_SUB_##wc(R, X, Y); \ if (_FP_FRAC_ZEROP_##wc(R)) \ { \ /* return an exact zero */ \ if (FP_ROUNDMODE == FP_RND_MINF) \ R##_s |= Y##_s; \ else \ R##_s &= Y##_s; \ R##_c = FP_CLS_ZERO; \ } \ else \ { \ if (_FP_FRAC_NEGP_##wc(R)) \ { \ _FP_FRAC_SUB_##wc(R, Y, X); \ R##_s = Y##_s; \ } \ \ /* renormalize after subtraction */ \ _FP_FRAC_CLZ_##wc(diff, R); \ diff -= _FP_WFRACXBITS_##fs; \ if (diff) \ { \ R##_e -= diff; \ _FP_FRAC_SLL_##wc(R, diff); \ } \ } \ } \ break; \ } \ \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ R##_e = X##_e; \ fallthrough; \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ _FP_FRAC_COPY_##wc(R, X); \ R##_s = X##_s; \ R##_c = X##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ R##_e = Y##_e; \ fallthrough; \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ _FP_FRAC_COPY_##wc(R, Y); \ R##_s = Y##_s; \ R##_c = Y##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ if (X##_s != Y##_s) \ { \ /* +INF + -INF => NAN */ \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ R##_s = _FP_NANSIGN_##fs; \ R##_c = FP_CLS_NAN; \ FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_ISI); \ break; \ } \ fallthrough; \ \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ R##_s = X##_s; \ R##_c = FP_CLS_INF; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ R##_s = Y##_s; \ R##_c = FP_CLS_INF; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ /* make sure the sign is correct */ \ if (FP_ROUNDMODE == FP_RND_MINF) \ R##_s = X##_s | Y##_s; \ else \ R##_s = X##_s & Y##_s; \ R##_c = FP_CLS_ZERO; \ break; \ \ default: \ abort(); \ } \ } while (0) #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+') #define _FP_SUB(fs, wc, R, X, Y) \ do { \ if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \ _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ } while (0) /* * Main negation routine. FIXME -- when we care about setting exception * bits reliably, this will not do. We should examine all of the fp classes. */ #define _FP_NEG(fs, wc, R, X) \ do { \ _FP_FRAC_COPY_##wc(R, X); \ R##_c = X##_c; \ R##_e = X##_e; \ R##_s = 1 ^ X##_s; \ } while (0) /* * Main multiplication routine. The input values should be cooked. */ #define _FP_MUL(fs, wc, R, X, Y) \ do { \ R##_s = X##_s ^ Y##_s; \ switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ { \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ R##_c = FP_CLS_NORMAL; \ R##_e = X##_e + Y##_e + 1; \ \ _FP_MUL_MEAT_##fs(R,X,Y); \ \ if (_FP_FRAC_OVERP_##wc(fs, R)) \ _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ else \ R##_e--; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ R##_s = X##_s; \ fallthrough; \ \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ _FP_FRAC_COPY_##wc(R, X); \ R##_c = X##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ R##_s = Y##_s; \ fallthrough; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ _FP_FRAC_COPY_##wc(R, Y); \ R##_c = Y##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ R##_s = _FP_NANSIGN_##fs; \ R##_c = FP_CLS_NAN; \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_IMZ);\ break; \ \ default: \ abort(); \ } \ } while (0) /* * Main division routine. The input values should be cooked. */ #define _FP_DIV(fs, wc, R, X, Y) \ do { \ R##_s = X##_s ^ Y##_s; \ switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ { \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ R##_c = FP_CLS_NORMAL; \ R##_e = X##_e - Y##_e; \ \ _FP_DIV_MEAT_##fs(R,X,Y); \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ R##_s = X##_s; \ _FP_FRAC_COPY_##wc(R, X); \ R##_c = X##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ R##_s = Y##_s; \ _FP_FRAC_COPY_##wc(R, Y); \ R##_c = Y##_c; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ R##_c = FP_CLS_ZERO; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ FP_SET_EXCEPTION(FP_EX_DIVZERO); \ fallthrough; \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ R##_c = FP_CLS_INF; \ break; \ \ case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ R##_s = _FP_NANSIGN_##fs; \ R##_c = FP_CLS_NAN; \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_IDI);\ break; \ \ case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ R##_s = _FP_NANSIGN_##fs; \ R##_c = FP_CLS_NAN; \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_ZDZ);\ break; \ \ default: \ abort(); \ } \ } while (0) /* * Main differential comparison routine. The inputs should be raw not * cooked. The return is -1,0,1 for normal values, 2 otherwise. */ #define _FP_CMP(fs, wc, ret, X, Y, un) \ do { \ /* NANs are unordered */ \ if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ { \ ret = un; \ } \ else \ { \ int __is_zero_x; \ int __is_zero_y; \ \ __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \ __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \ \ if (__is_zero_x && __is_zero_y) \ ret = 0; \ else if (__is_zero_x) \ ret = Y##_s ? 1 : -1; \ else if (__is_zero_y) \ ret = X##_s ? -1 : 1; \ else if (X##_s != Y##_s) \ ret = X##_s ? -1 : 1; \ else if (X##_e > Y##_e) \ ret = X##_s ? -1 : 1; \ else if (X##_e < Y##_e) \ ret = X##_s ? 1 : -1; \ else if (_FP_FRAC_GT_##wc(X, Y)) \ ret = X##_s ? -1 : 1; \ else if (_FP_FRAC_GT_##wc(Y, X)) \ ret = X##_s ? 1 : -1; \ else \ ret = 0; \ } \ } while (0) /* Simplification for strict equality. */ #define _FP_CMP_EQ(fs, wc, ret, X, Y) \ do { \ /* NANs are unordered */ \ if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ { \ ret = 1; \ } \ else \ { \ ret = !(X##_e == Y##_e \ && _FP_FRAC_EQ_##wc(X, Y) \ && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \ } \ } while (0) /* * Main square root routine. The input value should be cooked. */ #define _FP_SQRT(fs, wc, R, X) \ do { \ _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \ _FP_W_TYPE q; \ switch (X##_c) \ { \ case FP_CLS_NAN: \ _FP_FRAC_COPY_##wc(R, X); \ R##_s = X##_s; \ R##_c = FP_CLS_NAN; \ break; \ case FP_CLS_INF: \ if (X##_s) \ { \ R##_s = _FP_NANSIGN_##fs; \ R##_c = FP_CLS_NAN; /* NAN */ \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ FP_SET_EXCEPTION(FP_EX_INVALID); \ } \ else \ { \ R##_s = 0; \ R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ } \ break; \ case FP_CLS_ZERO: \ R##_s = X##_s; \ R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ break; \ case FP_CLS_NORMAL: \ R##_s = 0; \ if (X##_s) \ { \ R##_c = FP_CLS_NAN; /* sNAN */ \ R##_s = _FP_NANSIGN_##fs; \ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ FP_SET_EXCEPTION(FP_EX_INVALID); \ break; \ } \ R##_c = FP_CLS_NORMAL; \ if (X##_e & 1) \ _FP_FRAC_SLL_##wc(X, 1); \ R##_e = X##_e >> 1; \ _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \ _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ q = _FP_OVERFLOW_##fs >> 1; \ _FP_SQRT_MEAT_##wc(R, S, T, X, q); \ } \ } while (0) /* * Convert from FP to integer */ /* RSIGNED can have following values: * 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus * the result is either 0 or (2^rsize)-1 depending on the sign in such case. * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending * on the sign in such case. * 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is * set plus the result is truncated to fit into destination. * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending * on the sign in such case. */ #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ do { \ switch (X##_c) \ { \ case FP_CLS_NORMAL: \ if (X##_e < 0) \ { \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ case FP_CLS_ZERO: \ r = 0; \ } \ else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ || (!rsigned && X##_s)) \ { /* overflow */ \ case FP_CLS_NAN: \ case FP_CLS_INF: \ if (rsigned == 2) \ { \ if (X##_c != FP_CLS_NORMAL \ || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs) \ r = 0; \ else \ { \ _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ } \ } \ else if (rsigned) \ { \ r = 1; \ r <<= rsize - 1; \ r -= 1 - X##_s; \ } \ else \ { \ r = 0; \ if (!X##_s) \ r = ~r; \ } \ FP_SET_EXCEPTION(FP_EX_INVALID); \ } \ else \ { \ if (_FP_W_TYPE_SIZE*wc < rsize) \ { \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ r <<= X##_e - _FP_WFRACBITS_##fs; \ } \ else \ { \ if (X##_e >= _FP_WFRACBITS_##fs) \ _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ else if (X##_e < _FP_WFRACBITS_##fs - 1) \ { \ _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \ _FP_WFRACBITS_##fs); \ if (_FP_FRAC_LOW_##wc(X) & 1) \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ _FP_FRAC_SRL_##wc(X, 1); \ } \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ } \ if (rsigned && X##_s) \ r = -r; \ } \ break; \ } \ } while (0) #define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned) \ do { \ r = 0; \ switch (X##_c) \ { \ case FP_CLS_NORMAL: \ if (X##_e >= _FP_FRACBITS_##fs - 1) \ { \ if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs) \ { \ if (X##_e >= _FP_WFRACBITS_##fs - 1) \ { \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ r <<= X##_e - _FP_WFRACBITS_##fs + 1; \ } \ else \ { \ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e \ + _FP_FRACBITS_##fs - 1); \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ } \ } \ } \ else \ { \ int _lz0, _lz1; \ if (X##_e <= -_FP_WORKBITS - 1) \ _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ else \ _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e, \ _FP_WFRACBITS_##fs); \ _FP_FRAC_CLZ_##wc(_lz0, X); \ _FP_ROUND(wc, X); \ _FP_FRAC_CLZ_##wc(_lz1, X); \ if (_lz1 < _lz0) \ X##_e++; /* For overflow detection. */ \ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ } \ if (rsigned && X##_s) \ r = -r; \ if (X##_e >= rsize - (rsigned > 0 || X##_s) \ || (!rsigned && X##_s)) \ { /* overflow */ \ case FP_CLS_NAN: \ case FP_CLS_INF: \ if (!rsigned) \ { \ r = 0; \ if (!X##_s) \ r = ~r; \ } \ else if (rsigned != 2) \ { \ r = 1; \ r <<= rsize - 1; \ r -= 1 - X##_s; \ } \ FP_SET_EXCEPTION(FP_EX_INVALID); \ } \ break; \ case FP_CLS_ZERO: \ break; \ } \ } while (0) #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ do { \ if (r) \ { \ unsigned rtype ur_; \ X##_c = FP_CLS_NORMAL; \ \ if ((X##_s = (r < 0))) \ ur_ = (unsigned rtype) -r; \ else \ ur_ = (unsigned rtype) r; \ (void) (((rsize) <= _FP_W_TYPE_SIZE) \ ? ({ __FP_CLZ(X##_e, ur_); }) \ : ({ \ __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ (_FP_W_TYPE)ur_); \ })); \ if (rsize < _FP_W_TYPE_SIZE) \ X##_e -= (_FP_W_TYPE_SIZE - rsize); \ X##_e = rsize - X##_e - 1; \ \ if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs <= X##_e) \ __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\ _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \ _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \ } \ else \ { \ X##_c = FP_CLS_ZERO, X##_s = 0; \ } \ } while (0) #define FP_CONV(dfs,sfs,dwc,swc,D,S) \ do { \ _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \ D##_e = S##_e; \ D##_c = S##_c; \ D##_s = S##_s; \ } while (0) /* * Helper primitives. */ /* Count leading zeros in a word. */ #ifndef __FP_CLZ #if _FP_W_TYPE_SIZE < 64 /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */ #define __FP_CLZ(r, x) \ do { \ _FP_W_TYPE _t = (x); \ r = _FP_W_TYPE_SIZE - 1; \ if (_t > 0xffff) r -= 16; \ if (_t > 0xffff) _t >>= 16; \ if (_t > 0xff) r -= 8; \ if (_t > 0xff) _t >>= 8; \ if (_t & 0xf0) r -= 4; \ if (_t & 0xf0) _t >>= 4; \ if (_t & 0xc) r -= 2; \ if (_t & 0xc) _t >>= 2; \ if (_t & 0x2) r -= 1; \ } while (0) #else /* not _FP_W_TYPE_SIZE < 64 */ #define __FP_CLZ(r, x) \ do { \ _FP_W_TYPE _t = (x); \ r = _FP_W_TYPE_SIZE - 1; \ if (_t > 0xffffffff) r -= 32; \ if (_t > 0xffffffff) _t >>= 32; \ if (_t > 0xffff) r -= 16; \ if (_t > 0xffff) _t >>= 16; \ if (_t > 0xff) r -= 8; \ if (_t > 0xff) _t >>= 8; \ if (_t & 0xf0) r -= 4; \ if (_t & 0xf0) _t >>= 4; \ if (_t & 0xc) r -= 2; \ if (_t & 0xc) _t >>= 2; \ if (_t & 0x2) r -= 1; \ } while (0) #endif /* not _FP_W_TYPE_SIZE < 64 */ #endif /* ndef __FP_CLZ */ #define _FP_DIV_HELP_imm(q, r, n, d) \ do { \ q = n / d, r = n % d; \ } while (0) #endif /* __MATH_EMU_OP_COMMON_H__ */ PK ! �h�? ? soft-fp.hnu �[��� /* Software floating-point emulation. 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. */ #ifndef __MATH_EMU_SOFT_FP_H__ #define __MATH_EMU_SOFT_FP_H__ #include <asm/sfp-machine.h> /* Allow sfp-machine to have its own byte order definitions. */ #ifndef __BYTE_ORDER #include <endian.h> #endif #define _FP_WORKBITS 3 #define _FP_WORK_LSB ((_FP_W_TYPE)1 << 3) #define _FP_WORK_ROUND ((_FP_W_TYPE)1 << 2) #define _FP_WORK_GUARD ((_FP_W_TYPE)1 << 1) #define _FP_WORK_STICKY ((_FP_W_TYPE)1 << 0) #ifndef FP_RND_NEAREST # define FP_RND_NEAREST 0 # define FP_RND_ZERO 1 # define FP_RND_PINF 2 # define FP_RND_MINF 3 #ifndef FP_ROUNDMODE # define FP_ROUNDMODE FP_RND_NEAREST #endif #endif /* By default don't care about exceptions. */ #ifndef FP_EX_INVALID #define FP_EX_INVALID 0 #endif #ifndef FP_EX_INVALID_SNAN #define FP_EX_INVALID_SNAN 0 #endif /* inf - inf */ #ifndef FP_EX_INVALID_ISI #define FP_EX_INVALID_ISI 0 #endif /* inf / inf */ #ifndef FP_EX_INVALID_IDI #define FP_EX_INVALID_IDI 0 #endif /* 0 / 0 */ #ifndef FP_EX_INVALID_ZDZ #define FP_EX_INVALID_ZDZ 0 #endif /* inf * 0 */ #ifndef FP_EX_INVALID_IMZ #define FP_EX_INVALID_IMZ 0 #endif #ifndef FP_EX_OVERFLOW #define FP_EX_OVERFLOW 0 #endif #ifndef FP_EX_UNDERFLOW #define FP_EX_UNDERFLOW #endif #ifndef FP_EX_DIVZERO #define FP_EX_DIVZERO 0 #endif #ifndef FP_EX_INEXACT #define FP_EX_INEXACT 0 #endif #ifndef FP_EX_DENORM #define FP_EX_DENORM 0 #endif #ifdef _FP_DECL_EX #define FP_DECL_EX \ int _fex = 0; \ _FP_DECL_EX #else #define FP_DECL_EX int _fex = 0 #endif #ifndef FP_INIT_ROUNDMODE #define FP_INIT_ROUNDMODE do {} while (0) #endif #ifndef FP_HANDLE_EXCEPTIONS #define FP_HANDLE_EXCEPTIONS do {} while (0) #endif /* By default we never flush denormal input operands to signed zero. */ #ifndef FP_DENORM_ZERO #define FP_DENORM_ZERO 0 #endif #ifndef FP_INHIBIT_RESULTS /* By default we write the results always. * sfp-machine may override this and e.g. * check if some exceptions are unmasked * and inhibit it in such a case. */ #define FP_INHIBIT_RESULTS 0 #endif #ifndef FP_TRAPPING_EXCEPTIONS #define FP_TRAPPING_EXCEPTIONS 0 #endif #define FP_SET_EXCEPTION(ex) \ _fex |= (ex) #define FP_UNSET_EXCEPTION(ex) \ _fex &= ~(ex) #define FP_CUR_EXCEPTIONS \ (_fex) #define FP_CLEAR_EXCEPTIONS \ _fex = 0 #define _FP_ROUND_NEAREST(wc, X) \ do { \ if ((_FP_FRAC_LOW_##wc(X) & 15) != _FP_WORK_ROUND) \ _FP_FRAC_ADDI_##wc(X, _FP_WORK_ROUND); \ } while (0) #define _FP_ROUND_ZERO(wc, X) (void)0 #define _FP_ROUND_PINF(wc, X) \ do { \ if (!X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ } while (0) #define _FP_ROUND_MINF(wc, X) \ do { \ if (X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ } while (0) #define _FP_ROUND(wc, X) \ do { \ if (_FP_FRAC_LOW_##wc(X) & 7) \ FP_SET_EXCEPTION(FP_EX_INEXACT); \ switch (FP_ROUNDMODE) \ { \ case FP_RND_NEAREST: \ _FP_ROUND_NEAREST(wc,X); \ break; \ case FP_RND_ZERO: \ _FP_ROUND_ZERO(wc,X); \ break; \ case FP_RND_PINF: \ _FP_ROUND_PINF(wc,X); \ break; \ case FP_RND_MINF: \ _FP_ROUND_MINF(wc,X); \ break; \ } \ } while (0) #define FP_CLS_NORMAL 0 #define FP_CLS_ZERO 1 #define FP_CLS_INF 2 #define FP_CLS_NAN 3 #define _FP_CLS_COMBINE(x,y) (((x) << 2) | (y)) #include <math-emu/op-1.h> #include <math-emu/op-2.h> #include <math-emu/op-4.h> #include <math-emu/op-8.h> #include <math-emu/op-common.h> /* Sigh. Silly things longlong.h needs. */ #define UWtype _FP_W_TYPE #define W_TYPE_SIZE _FP_W_TYPE_SIZE typedef int SItype __attribute__((mode(SI))); typedef int DItype __attribute__((mode(DI))); typedef unsigned int USItype __attribute__((mode(SI))); typedef unsigned int UDItype __attribute__((mode(DI))); #if _FP_W_TYPE_SIZE == 32 typedef unsigned int UHWtype __attribute__((mode(HI))); #elif _FP_W_TYPE_SIZE == 64 typedef USItype UHWtype; #endif #ifndef umul_ppmm #include <stdlib/longlong.h> #endif #endif /* __MATH_EMU_SOFT_FP_H__ */ PK ! w� �> > op-8.hnu �[��� /* Software floating-point emulation. Basic eight-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) 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. */ #ifndef __MATH_EMU_OP_8_H__ #define __MATH_EMU_OP_8_H__ /* We need just a few things from here for op-4, if we ever need some other macros, they can be added. */ #define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] #define _FP_FRAC_HIGH_8(X) (X##_f[7]) #define _FP_FRAC_LOW_8(X) (X##_f[0]) #define _FP_FRAC_WORD_8(X,w) (X##_f[w]) #define _FP_FRAC_SLL_8(X,N) \ do { \ _FP_I_TYPE _up, _down, _skip, _i; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _up = (N) % _FP_W_TYPE_SIZE; \ _down = _FP_W_TYPE_SIZE - _up; \ if (!_up) \ for (_i = 7; _i >= _skip; --_i) \ X##_f[_i] = X##_f[_i-_skip]; \ else \ { \ for (_i = 7; _i > _skip; --_i) \ X##_f[_i] = X##_f[_i-_skip] << _up \ | X##_f[_i-_skip-1] >> _down; \ X##_f[_i--] = X##_f[0] << _up; \ } \ for (; _i >= 0; --_i) \ X##_f[_i] = 0; \ } while (0) #define _FP_FRAC_SRL_8(X,N) \ do { \ _FP_I_TYPE _up, _down, _skip, _i; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _down = (N) % _FP_W_TYPE_SIZE; \ _up = _FP_W_TYPE_SIZE - _down; \ if (!_down) \ for (_i = 0; _i <= 7-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip]; \ else \ { \ for (_i = 0; _i < 7-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip] >> _down \ | X##_f[_i+_skip+1] << _up; \ X##_f[_i++] = X##_f[7] >> _down; \ } \ for (; _i < 8; ++_i) \ X##_f[_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_SRS_8(X,N,size) \ do { \ _FP_I_TYPE _up, _down, _skip, _i; \ _FP_W_TYPE _s; \ _skip = (N) / _FP_W_TYPE_SIZE; \ _down = (N) % _FP_W_TYPE_SIZE; \ _up = _FP_W_TYPE_SIZE - _down; \ for (_s = _i = 0; _i < _skip; ++_i) \ _s |= X##_f[_i]; \ _s |= X##_f[_i] << _up; \ /* s is now != 0 if we want to set the LSbit */ \ if (!_down) \ for (_i = 0; _i <= 7-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip]; \ else \ { \ for (_i = 0; _i < 7-_skip; ++_i) \ X##_f[_i] = X##_f[_i+_skip] >> _down \ | X##_f[_i+_skip+1] << _up; \ X##_f[_i++] = X##_f[7] >> _down; \ } \ for (; _i < 8; ++_i) \ X##_f[_i] = 0; \ /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ X##_f[0] |= (_s != 0); \ } while (0) #endif PK ! P_xh� � double.hnu �[��� /* Software floating-point emulation. Definitions for IEEE Double Precision 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. */ #ifndef __MATH_EMU_DOUBLE_H__ #define __MATH_EMU_DOUBLE_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_D (2 * _FP_W_TYPE_SIZE) #else #define _FP_FRACTBITS_D _FP_W_TYPE_SIZE #endif #define _FP_FRACBITS_D 53 #define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D) #define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D) #define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D) #define _FP_EXPBITS_D 11 #define _FP_EXPBIAS_D 1023 #define _FP_EXPMAX_D 2047 #define _FP_QNANBIT_D \ ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE) #define _FP_IMPLBIT_D \ ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE) #define _FP_OVERFLOW_D \ ((_FP_W_TYPE)1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE) #if _FP_W_TYPE_SIZE < 64 union _FP_UNION_D { double flt; struct { #if __BYTE_ORDER == __BIG_ENDIAN unsigned sign : 1; unsigned exp : _FP_EXPBITS_D; unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; unsigned frac0 : _FP_W_TYPE_SIZE; #else unsigned frac0 : _FP_W_TYPE_SIZE; unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; unsigned exp : _FP_EXPBITS_D; unsigned sign : 1; #endif } bits __attribute__((packed)); }; #define FP_DECL_D(X) _FP_DECL(2,X) #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_2(D,X,val) #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_2_P(D,X,val) #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_2(D,val,X) #define FP_PACK_RAW_DP(val,X) \ do { \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_2_P(D,val,X); \ } while (0) #define FP_UNPACK_D(X,val) \ do { \ _FP_UNPACK_RAW_2(D,X,val); \ _FP_UNPACK_CANONICAL(D,2,X); \ } while (0) #define FP_UNPACK_DP(X,val) \ do { \ _FP_UNPACK_RAW_2_P(D,X,val); \ _FP_UNPACK_CANONICAL(D,2,X); \ } while (0) #define FP_PACK_D(val,X) \ do { \ _FP_PACK_CANONICAL(D,2,X); \ _FP_PACK_RAW_2(D,val,X); \ } while (0) #define FP_PACK_DP(val,X) \ do { \ _FP_PACK_CANONICAL(D,2,X); \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_2_P(D,val,X); \ } while (0) #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,2,X) #define FP_NEG_D(R,X) _FP_NEG(D,2,R,X) #define FP_ADD_D(R,X,Y) _FP_ADD(D,2,R,X,Y) #define FP_SUB_D(R,X,Y) _FP_SUB(D,2,R,X,Y) #define FP_MUL_D(R,X,Y) _FP_MUL(D,2,R,X,Y) #define FP_DIV_D(R,X,Y) _FP_DIV(D,2,R,X,Y) #define FP_SQRT_D(R,X) _FP_SQRT(D,2,R,X) #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,2,r,X,Y,un) #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,2,r,X,Y) #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,2,r,X,rsz,rsg) #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,2,r,X,rsz,rsg) #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,2,X,r,rs,rt) #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2(X) #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2(X) #else union _FP_UNION_D { double flt; struct { #if __BYTE_ORDER == __BIG_ENDIAN unsigned sign : 1; unsigned exp : _FP_EXPBITS_D; unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); #else unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); unsigned exp : _FP_EXPBITS_D; unsigned sign : 1; #endif } bits __attribute__((packed)); }; #define FP_DECL_D(X) _FP_DECL(1,X) #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_1(D,X,val) #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_1_P(D,X,val) #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_1(D,val,X) #define FP_PACK_RAW_DP(val,X) \ do { \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_1_P(D,val,X); \ } while (0) #define FP_UNPACK_D(X,val) \ do { \ _FP_UNPACK_RAW_1(D,X,val); \ _FP_UNPACK_CANONICAL(D,1,X); \ } while (0) #define FP_UNPACK_DP(X,val) \ do { \ _FP_UNPACK_RAW_1_P(D,X,val); \ _FP_UNPACK_CANONICAL(D,1,X); \ } while (0) #define FP_PACK_D(val,X) \ do { \ _FP_PACK_CANONICAL(D,1,X); \ _FP_PACK_RAW_1(D,val,X); \ } while (0) #define FP_PACK_DP(val,X) \ do { \ _FP_PACK_CANONICAL(D,1,X); \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_1_P(D,val,X); \ } while (0) #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,1,X) #define FP_NEG_D(R,X) _FP_NEG(D,1,R,X) #define FP_ADD_D(R,X,Y) _FP_ADD(D,1,R,X,Y) #define FP_SUB_D(R,X,Y) _FP_SUB(D,1,R,X,Y) #define FP_MUL_D(R,X,Y) _FP_MUL(D,1,R,X,Y) #define FP_DIV_D(R,X,Y) _FP_DIV(D,1,R,X,Y) #define FP_SQRT_D(R,X) _FP_SQRT(D,1,R,X) #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) /* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by the target machine. */ #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,1,r,X,Y,un) #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,1,r,X,Y) #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,1,r,X,rsz,rsg) #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,1,r,X,rsz,rsg) #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,1,X,r,rs,rt) #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1(X) #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1(X) #endif /* W_TYPE_SIZE < 64 */ #endif /* __MATH_EMU_DOUBLE_H__ */ PK ! �&�uZ Z single.hnu �[��� /* Software floating-point emulation. Definitions for IEEE Single Precision. 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. */ #ifndef __MATH_EMU_SINGLE_H__ #define __MATH_EMU_SINGLE_H__ #if _FP_W_TYPE_SIZE < 32 #error "Here's a nickel kid. Go buy yourself a real computer." #endif #define _FP_FRACBITS_S 24 #define _FP_FRACXBITS_S (_FP_W_TYPE_SIZE - _FP_FRACBITS_S) #define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S) #define _FP_WFRACXBITS_S (_FP_W_TYPE_SIZE - _FP_WFRACBITS_S) #define _FP_EXPBITS_S 8 #define _FP_EXPBIAS_S 127 #define _FP_EXPMAX_S 255 #define _FP_QNANBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2)) #define _FP_IMPLBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1)) #define _FP_OVERFLOW_S ((_FP_W_TYPE)1 << (_FP_WFRACBITS_S)) /* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be chosen by the target machine. */ union _FP_UNION_S { float flt; struct { #if __BYTE_ORDER == __BIG_ENDIAN unsigned sign : 1; unsigned exp : _FP_EXPBITS_S; unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); #else unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); unsigned exp : _FP_EXPBITS_S; unsigned sign : 1; #endif } bits __attribute__((packed)); }; #define FP_DECL_S(X) _FP_DECL(1,X) #define FP_UNPACK_RAW_S(X,val) _FP_UNPACK_RAW_1(S,X,val) #define FP_UNPACK_RAW_SP(X,val) _FP_UNPACK_RAW_1_P(S,X,val) #define FP_PACK_RAW_S(val,X) _FP_PACK_RAW_1(S,val,X) #define FP_PACK_RAW_SP(val,X) \ do { \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_1_P(S,val,X); \ } while (0) #define FP_UNPACK_S(X,val) \ do { \ _FP_UNPACK_RAW_1(S,X,val); \ _FP_UNPACK_CANONICAL(S,1,X); \ } while (0) #define FP_UNPACK_SP(X,val) \ do { \ _FP_UNPACK_RAW_1_P(S,X,val); \ _FP_UNPACK_CANONICAL(S,1,X); \ } while (0) #define FP_PACK_S(val,X) \ do { \ _FP_PACK_CANONICAL(S,1,X); \ _FP_PACK_RAW_1(S,val,X); \ } while (0) #define FP_PACK_SP(val,X) \ do { \ _FP_PACK_CANONICAL(S,1,X); \ if (!FP_INHIBIT_RESULTS) \ _FP_PACK_RAW_1_P(S,val,X); \ } while (0) #define FP_ISSIGNAN_S(X) _FP_ISSIGNAN(S,1,X) #define FP_NEG_S(R,X) _FP_NEG(S,1,R,X) #define FP_ADD_S(R,X,Y) _FP_ADD(S,1,R,X,Y) #define FP_SUB_S(R,X,Y) _FP_SUB(S,1,R,X,Y) #define FP_MUL_S(R,X,Y) _FP_MUL(S,1,R,X,Y) #define FP_DIV_S(R,X,Y) _FP_DIV(S,1,R,X,Y) #define FP_SQRT_S(R,X) _FP_SQRT(S,1,R,X) #define _FP_SQRT_MEAT_S(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) #define FP_CMP_S(r,X,Y,un) _FP_CMP(S,1,r,X,Y,un) #define FP_CMP_EQ_S(r,X,Y) _FP_CMP_EQ(S,1,r,X,Y) #define FP_TO_INT_S(r,X,rsz,rsg) _FP_TO_INT(S,1,r,X,rsz,rsg) #define FP_TO_INT_ROUND_S(r,X,rsz,rsg) _FP_TO_INT_ROUND(S,1,r,X,rsz,rsg) #define FP_FROM_INT_S(X,r,rs,rt) _FP_FROM_INT(S,1,X,r,rs,rt) #define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1(X) #define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1(X) #endif /* __MATH_EMU_SINGLE_H__ */ PK ! �B�� � Makefilenu �[��� PK ! ˛��$ �$ op-1.hnu �[��� PK ! ��k��\ �\ 4( op-4.hnu �[��� PK ! �("�N �N ]� op-2.hnu �[��� PK ! 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