patch-2.3.16 linux/include/math-emu/op-4.h
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- Lines: 662
- Date:
Tue Aug 31 11:24:24 1999
- Orig file:
v2.3.15/linux/include/math-emu/op-4.h
- Orig date:
Wed Dec 31 16:00:00 1969
diff -u --recursive --new-file v2.3.15/linux/include/math-emu/op-4.h linux/include/math-emu/op-4.h
@@ -0,0 +1,661 @@
+/* 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. */
+
+#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_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) \
+ (r0 = x0 + y0, \
+ r1 = x1 + y1 + (r0 < x0), \
+ r2 = x2 + y2 + (r1 < x1))
+#endif
+
+#ifndef __FP_FRAC_ADD_4
+#define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
+ (r0 = x0 + y0, \
+ r1 = x1 + y1 + (r0 < x0), \
+ r2 = x2 + y2 + (r1 < x1), \
+ r3 = x3 + y3 + (r2 < x2))
+#endif
+
+#ifndef __FP_FRAC_SUB_3
+#define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \
+ (r0 = x0 - y0, \
+ r1 = x1 - y1 - (r0 > x0), \
+ r2 = x2 - y2 - (r1 > x1))
+#endif
+
+#ifndef __FP_FRAC_SUB_4
+#define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
+ (r0 = x0 - y0, \
+ r1 = x1 - y1 - (r0 > x0), \
+ r2 = x2 - y2 - (r1 > x1), \
+ r3 = x3 - y3 - (r2 > x2))
+#endif
+
+#ifndef __FP_FRAC_DEC_3
+#define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0) \
+ do { \
+ UWtype _t0, _t1; \
+ _t0 = x0; \
+ x0 -= y0; \
+ _t1 = x1; \
+ x1 -= y1 + (x0 > _t0); \
+ x2 -= y2 + (x1 > _t1); \
+ } 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; \
+ _t0 = x0; \
+ x0 -= y0; \
+ _t1 = x1; \
+ x1 -= y1 + (x0 > _t0); \
+ _t0 = x2; \
+ x2 -= y2 + (x1 > _t1); \
+ x3 -= y3 + (x2 > _t0); \
+ } 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)
+
FUNET's LINUX-ADM group, linux-adm@nic.funet.fi
TCL-scripts by Sam Shen (who was at: slshen@lbl.gov)