/* Software floating-point emulation.
Basic four-word fraction declaration and manipulation.
- Copyright (C) 1997,1998,1999 Free Software Foundation, Inc.
+ Copyright (C) 1997-2019 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),
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
+ In addition to the permissions in the GNU Lesser General Public
+ License, the Free Software Foundation gives you unlimited
+ permission to link the compiled version of this file into
+ combinations with other programs, and to distribute those
+ combinations without any restriction coming from the use of this
+ file. (The Lesser General Public License restrictions do apply in
+ other respects; for example, they cover modification of the file,
+ and distribution when not linked into a combine executable.)
+
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, write to the Free
- Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
- 02111-1307 USA. */
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#ifndef SOFT_FP_OP_4_H
+#define SOFT_FP_OP_4_H 1
#define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4]
-#define _FP_FRAC_COPY_4(D,S) \
+#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_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_WORD_4(X, w) (X##_f[w])
+
+#define _FP_FRAC_SLL_4(X, N) \
+ do \
+ { \
+ _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \
+ _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \
+ _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \
+ if (!_FP_FRAC_SLL_4_up) \
+ for (_FP_FRAC_SLL_4_i = 3; \
+ _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \
+ --_FP_FRAC_SLL_4_i) \
+ X##_f[_FP_FRAC_SLL_4_i] \
+ = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \
+ else \
+ { \
+ for (_FP_FRAC_SLL_4_i = 3; \
+ _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \
+ --_FP_FRAC_SLL_4_i) \
+ X##_f[_FP_FRAC_SLL_4_i] \
+ = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \
+ << _FP_FRAC_SLL_4_up) \
+ | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \
+ >> _FP_FRAC_SLL_4_down)); \
+ X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \
+ } \
+ for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \
+ X##_f[_FP_FRAC_SLL_4_i] = 0; \
+ } \
+ while (0)
+
+/* This one was broken too. */
+#define _FP_FRAC_SRL_4(X, N) \
+ do \
+ { \
+ _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \
+ _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \
+ _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \
+ if (!_FP_FRAC_SRL_4_down) \
+ for (_FP_FRAC_SRL_4_i = 0; \
+ _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \
+ ++_FP_FRAC_SRL_4_i) \
+ X##_f[_FP_FRAC_SRL_4_i] \
+ = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \
+ else \
+ { \
+ for (_FP_FRAC_SRL_4_i = 0; \
+ _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \
+ ++_FP_FRAC_SRL_4_i) \
+ X##_f[_FP_FRAC_SRL_4_i] \
+ = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \
+ >> _FP_FRAC_SRL_4_down) \
+ | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \
+ << _FP_FRAC_SRL_4_up)); \
+ X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \
+ } \
+ for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \
+ X##_f[_FP_FRAC_SRL_4_i] = 0; \
+ } \
+ while (0)
+
+
+/* Right shift with sticky-lsb.
+ What this actually means is that we do a standard right-shift,
+ but that if any of the bits that fall off the right hand side
+ were one then we always set the LSbit. */
+#define _FP_FRAC_SRST_4(X, S, N, size) \
+ do \
+ { \
+ _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \
+ _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \
+ _FP_W_TYPE _FP_FRAC_SRST_4_s; \
+ _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \
+ _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \
+ for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \
+ _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \
+ ++_FP_FRAC_SRST_4_i) \
+ _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \
+ if (!_FP_FRAC_SRST_4_down) \
+ for (_FP_FRAC_SRST_4_i = 0; \
+ _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \
+ ++_FP_FRAC_SRST_4_i) \
+ X##_f[_FP_FRAC_SRST_4_i] \
+ = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \
+ else \
+ { \
+ _FP_FRAC_SRST_4_s \
+ |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \
+ for (_FP_FRAC_SRST_4_i = 0; \
+ _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \
+ ++_FP_FRAC_SRST_4_i) \
+ X##_f[_FP_FRAC_SRST_4_i] \
+ = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \
+ >> _FP_FRAC_SRST_4_down) \
+ | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \
+ << _FP_FRAC_SRST_4_up)); \
+ X##_f[_FP_FRAC_SRST_4_i++] \
+ = X##_f[3] >> _FP_FRAC_SRST_4_down; \
+ } \
+ for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \
+ X##_f[_FP_FRAC_SRST_4_i] = 0; \
+ S = (_FP_FRAC_SRST_4_s != 0); \
+ } \
+ while (0)
+
+#define _FP_FRAC_SRS_4(X, N, size) \
+ do \
+ { \
+ int _FP_FRAC_SRS_4_sticky; \
+ _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \
+ X##_f[0] |= _FP_FRAC_SRS_4_sticky; \
+ } \
+ while (0)
+
+#define _FP_FRAC_ADD_4(R, X, Y) \
+ __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
+ X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
+ Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
+
+#define _FP_FRAC_SUB_4(R, X, Y) \
+ __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
+ X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
+ Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
+
+#define _FP_FRAC_DEC_4(X, Y) \
+ __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
+ Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
+
+#define _FP_FRAC_ADDI_4(X, I) \
+ __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I)
+
+#define _FP_ZEROFRAC_4 0, 0, 0, 0
+#define _FP_MINFRAC_4 0, 0, 0, 1
+#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0)
#define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0)
-#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE)X##_f[3] < 0)
-#define _FP_FRAC_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs)
-#define _FP_FRAC_CLEAR_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs)
-
-#define _FP_FRAC_EQ_4(X,Y) \
- (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \
- && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
-
-#define _FP_FRAC_GT_4(X,Y) \
- (X##_f[3] > Y##_f[3] || \
- (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
- (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
- (X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0]) \
- )) \
- )) \
- )
-
-#define _FP_FRAC_GE_4(X,Y) \
- (X##_f[3] > Y##_f[3] || \
- (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
- (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
- (X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0]) \
- )) \
- )) \
- )
-
-
-#define _FP_FRAC_CLZ_4(R,X) \
- do { \
- if (X##_f[3]) \
- { \
- __FP_CLZ(R,X##_f[3]); \
- } \
- else if (X##_f[2]) \
- { \
- __FP_CLZ(R,X##_f[2]); \
- R += _FP_W_TYPE_SIZE; \
- } \
- else if (X##_f[1]) \
- { \
- __FP_CLZ(R,X##_f[1]); \
- R += _FP_W_TYPE_SIZE*2; \
- } \
- else \
- { \
- __FP_CLZ(R,X##_f[0]); \
- R += _FP_W_TYPE_SIZE*3; \
- } \
- } while(0)
-
-
-#define _FP_UNPACK_RAW_4(fs, X, val) \
- do { \
- union _FP_UNION_##fs _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:
- */
+#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0)
+#define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs)
+#define _FP_FRAC_HIGHBIT_DW_4(fs, X) \
+ (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs)
+#define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs)
+
+#define _FP_FRAC_EQ_4(X, Y) \
+ (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \
+ && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
+
+#define _FP_FRAC_GT_4(X, Y) \
+ (X##_f[3] > Y##_f[3] \
+ || (X##_f[3] == Y##_f[3] \
+ && (X##_f[2] > Y##_f[2] \
+ || (X##_f[2] == Y##_f[2] \
+ && (X##_f[1] > Y##_f[1] \
+ || (X##_f[1] == Y##_f[1] \
+ && X##_f[0] > Y##_f[0]))))))
+
+#define _FP_FRAC_GE_4(X, Y) \
+ (X##_f[3] > Y##_f[3] \
+ || (X##_f[3] == Y##_f[3] \
+ && (X##_f[2] > Y##_f[2] \
+ || (X##_f[2] == Y##_f[2] \
+ && (X##_f[1] > Y##_f[1] \
+ || (X##_f[1] == Y##_f[1] \
+ && X##_f[0] >= Y##_f[0]))))))
+
+
+#define _FP_FRAC_CLZ_4(R, X) \
+ do \
+ { \
+ if (X##_f[3]) \
+ __FP_CLZ ((R), X##_f[3]); \
+ else if (X##_f[2]) \
+ { \
+ __FP_CLZ ((R), X##_f[2]); \
+ (R) += _FP_W_TYPE_SIZE; \
+ } \
+ else if (X##_f[1]) \
+ { \
+ __FP_CLZ ((R), X##_f[1]); \
+ (R) += _FP_W_TYPE_SIZE*2; \
+ } \
+ else \
+ { \
+ __FP_CLZ ((R), X##_f[0]); \
+ (R) += _FP_W_TYPE_SIZE*3; \
+ } \
+ } \
+ while (0)
+
+
+#define _FP_UNPACK_RAW_4(fs, X, val) \
+ do \
+ { \
+ union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \
+ _FP_UNPACK_RAW_4_flo.flt = (val); \
+ X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \
+ X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \
+ X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \
+ X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \
+ X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \
+ X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \
+ } \
+ while (0)
+
+#define _FP_UNPACK_RAW_4_P(fs, X, val) \
+ do \
+ { \
+ union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \
+ = (union _FP_UNION_##fs *) (val); \
+ \
+ X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \
+ X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \
+ X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \
+ X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \
+ X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \
+ X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \
+ } \
+ while (0)
+
+#define _FP_PACK_RAW_4(fs, val, X) \
+ do \
+ { \
+ union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \
+ _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \
+ _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \
+ _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \
+ _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \
+ _FP_PACK_RAW_4_flo.bits.exp = X##_e; \
+ _FP_PACK_RAW_4_flo.bits.sign = X##_s; \
+ (val) = _FP_PACK_RAW_4_flo.flt; \
+ } \
+ while (0)
+
+#define _FP_PACK_RAW_4_P(fs, val, X) \
+ do \
+ { \
+ union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \
+ = (union _FP_UNION_##fs *) (val); \
+ \
+ _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \
+ _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \
+ _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \
+ _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \
+ _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \
+ _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \
+ } \
+ while (0)
+
+/* Multiplication algorithms: */
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
-#define _FP_MUL_MEAT_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) \
+#define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \
+ do \
+ { \
+ _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \
+ _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \
+ _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \
+ _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \
+ _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \
+ \
+ doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \
+ X##_f[0], Y##_f[0]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ X##_f[0], Y##_f[1]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \
+ X##_f[1], Y##_f[0]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ X##_f[1], Y##_f[1]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ X##_f[0], Y##_f[2]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \
+ X##_f[2], Y##_f[0]); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
+ _FP_FRAC_WORD_8 (R, 1), 0, \
+ _FP_MUL_MEAT_DW_4_wide_b_f1, \
+ _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ 0, 0, _FP_FRAC_WORD_8 (R, 1)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
+ _FP_FRAC_WORD_8 (R, 1), 0, \
+ _FP_MUL_MEAT_DW_4_wide_c_f1, \
+ _FP_MUL_MEAT_DW_4_wide_c_f0, \
+ _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
+ _FP_FRAC_WORD_8 (R, 1)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
+ _FP_FRAC_WORD_8 (R, 2), 0, \
+ _FP_MUL_MEAT_DW_4_wide_d_f1, \
+ _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
+ _FP_FRAC_WORD_8 (R, 2), 0, \
+ _FP_MUL_MEAT_DW_4_wide_e_f1, \
+ _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
+ _FP_FRAC_WORD_8 (R, 2)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
+ _FP_FRAC_WORD_8 (R, 2), 0, \
+ _FP_MUL_MEAT_DW_4_wide_f_f1, \
+ _FP_MUL_MEAT_DW_4_wide_f_f0, \
+ _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
+ _FP_FRAC_WORD_8 (R, 2)); \
+ doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \
+ _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \
+ _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ X##_f[1], Y##_f[2]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ X##_f[2], Y##_f[1]); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3), 0, \
+ _FP_MUL_MEAT_DW_4_wide_b_f1, \
+ _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3), 0, \
+ _FP_MUL_MEAT_DW_4_wide_c_f1, \
+ _FP_MUL_MEAT_DW_4_wide_c_f0, \
+ _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3), 0, \
+ _FP_MUL_MEAT_DW_4_wide_d_f1, \
+ _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3), 0, \
+ _FP_MUL_MEAT_DW_4_wide_e_f1, \
+ _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
+ _FP_FRAC_WORD_8 (R, 3)); \
+ doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ X##_f[2], Y##_f[2]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \
+ X##_f[1], Y##_f[3]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ X##_f[3], Y##_f[1]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ X##_f[2], Y##_f[3]); \
+ doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \
+ X##_f[3], Y##_f[2]); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
+ _FP_FRAC_WORD_8 (R, 4), 0, \
+ _FP_MUL_MEAT_DW_4_wide_b_f1, \
+ _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
+ _FP_FRAC_WORD_8 (R, 4), 0, \
+ _FP_MUL_MEAT_DW_4_wide_c_f1, \
+ _FP_MUL_MEAT_DW_4_wide_c_f0, \
+ _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
+ _FP_FRAC_WORD_8 (R, 4)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
+ _FP_FRAC_WORD_8 (R, 4), 0, \
+ _FP_MUL_MEAT_DW_4_wide_d_f1, \
+ _FP_MUL_MEAT_DW_4_wide_d_f0, \
+ _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
+ _FP_FRAC_WORD_8 (R, 4)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
+ _FP_FRAC_WORD_8 (R, 5), 0, \
+ _FP_MUL_MEAT_DW_4_wide_e_f1, \
+ _FP_MUL_MEAT_DW_4_wide_e_f0, \
+ 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \
+ __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
+ _FP_FRAC_WORD_8 (R, 5), 0, \
+ _FP_MUL_MEAT_DW_4_wide_f_f1, \
+ _FP_MUL_MEAT_DW_4_wide_f_f0, \
+ _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
+ _FP_FRAC_WORD_8 (R, 5)); \
+ doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ X##_f[3], Y##_f[3]); \
+ __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
+ _FP_MUL_MEAT_DW_4_wide_b_f1, \
+ _FP_MUL_MEAT_DW_4_wide_b_f0, \
+ _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \
+ } \
+ while (0)
+
+#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \
+ do \
+ { \
+ _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \
+ \
+ _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \
+ X, Y, doit); \
+ \
+ /* Normalize since we know where the msb of the multiplicands \
+ were (bit B), we know that the msb of the of the product is \
+ at either 2B or 2B-1. */ \
+ _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \
+ 2*(wfracbits)); \
+ __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \
+ } \
+ while (0)
+
+#define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \
+ do \
+ { \
+ mpn_mul_n (R##_f, _x_f, _y_f, 4); \
+ } \
+ while (0)
+
+#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \
+ do \
+ { \
+ _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \
+ \
+ _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \
+ \
+ /* Normalize since we know where the msb of the multiplicands \
+ were (bit B), we know that the msb of the of the product is \
+ at either 2B or 2B-1. */ \
+ _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \
+ 2*(wfracbits)); \
+ __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \
+ _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \
+ } \
+ while (0)
+
+/* Helper utility for _FP_DIV_MEAT_4_udiv:
+ * pppp = m * nnn. */
+#define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \
+ do \
+ { \
+ UWtype umul_ppppmnnn_t; \
+ umul_ppmm (p1, p0, m, n0); \
+ umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \
+ __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \
+ umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \
+ __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \
+ } \
+ while (0)
+
+/* Division algorithms: */
+
+#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \
+ do \
+ { \
+ int _FP_DIV_MEAT_4_udiv_i; \
+ _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \
+ _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \
+ _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \
+ if (_FP_FRAC_GE_4 (X, Y)) \
+ { \
+ _FP_DIV_MEAT_4_udiv_n_f[3] \
+ = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \
+ _FP_FRAC_SRL_4 (X, 1); \
+ } \
+ else \
+ R##_e--; \
+ \
+ /* Normalize, i.e. make the most significant bit of the \
+ denominator set. */ \
+ _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \
+ \
+ for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \
+ { \
+ if (X##_f[3] == Y##_f[3]) \
+ { \
+ /* This is a special case, not an optimization \
+ (X##_f[3]/Y##_f[3] would not fit into UWtype). \
+ As X## is guaranteed to be < Y, \
+ R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \
+ (UWtype)-1 or (UWtype)-2. */ \
+ R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \
+ if (!_FP_DIV_MEAT_4_udiv_i) \
+ break; \
+ __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
+ Y##_f[2], Y##_f[1], Y##_f[0], 0, \
+ X##_f[2], X##_f[1], X##_f[0], \
+ _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \
+ _FP_FRAC_SUB_4 (X, Y, X); \
+ if (X##_f[3] > Y##_f[3]) \
+ { \
+ R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \
+ _FP_FRAC_ADD_4 (X, Y, X); \
+ } \
+ } \
+ else \
+ { \
+ udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \
+ X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \
+ umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \
+ _FP_DIV_MEAT_4_udiv_m_f[2], \
+ _FP_DIV_MEAT_4_udiv_m_f[1], \
+ _FP_DIV_MEAT_4_udiv_m_f[0], \
+ R##_f[_FP_DIV_MEAT_4_udiv_i], \
+ Y##_f[2], Y##_f[1], Y##_f[0]); \
+ X##_f[2] = X##_f[1]; \
+ X##_f[1] = X##_f[0]; \
+ X##_f[0] \
+ = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \
+ if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \
+ { \
+ R##_f[_FP_DIV_MEAT_4_udiv_i]--; \
+ _FP_FRAC_ADD_4 (X, Y, X); \
+ if (_FP_FRAC_GE_4 (X, Y) \
+ && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \
+ { \
+ R##_f[_FP_DIV_MEAT_4_udiv_i]--; \
+ _FP_FRAC_ADD_4 (X, Y, X); \
+ } \
+ } \
+ _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \
+ if (!_FP_DIV_MEAT_4_udiv_i) \
+ { \
+ if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \
+ R##_f[0] |= _FP_WORK_STICKY; \
+ break; \
+ } \
+ } \
+ } \
+ } \
+ while (0)
+
+
+/* Square root algorithms:
+ We have just one right now, maybe Newton approximation
+ should be added for those machines where division is fast. */
+
+#define _FP_SQRT_MEAT_4(R, S, T, X, q) \
+ do \
+ { \
+ while (q) \
+ { \
+ T##_f[3] = S##_f[3] + (q); \
+ if (T##_f[3] <= X##_f[3]) \
+ { \
+ S##_f[3] = T##_f[3] + (q); \
+ X##_f[3] -= T##_f[3]; \
+ R##_f[3] += (q); \
+ } \
+ _FP_FRAC_SLL_4 (X, 1); \
+ (q) >>= 1; \
+ } \
+ (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
+ while (q) \
+ { \
+ T##_f[2] = S##_f[2] + (q); \
+ T##_f[3] = S##_f[3]; \
+ if (T##_f[3] < X##_f[3] \
+ || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \
+ { \
+ S##_f[2] = T##_f[2] + (q); \
+ S##_f[3] += (T##_f[2] > S##_f[2]); \
+ __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \
+ T##_f[3], T##_f[2]); \
+ R##_f[2] += (q); \
+ } \
+ _FP_FRAC_SLL_4 (X, 1); \
+ (q) >>= 1; \
+ } \
+ (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
+ while (q) \
+ { \
+ T##_f[1] = S##_f[1] + (q); \
+ T##_f[2] = S##_f[2]; \
+ T##_f[3] = S##_f[3]; \
+ if (T##_f[3] < X##_f[3] \
+ || (T##_f[3] == X##_f[3] \
+ && (T##_f[2] < X##_f[2] \
+ || (T##_f[2] == X##_f[2] \
+ && T##_f[1] <= X##_f[1])))) \
+ { \
+ S##_f[1] = T##_f[1] + (q); \
+ S##_f[2] += (T##_f[1] > S##_f[1]); \
+ S##_f[3] += (T##_f[2] > S##_f[2]); \
+ __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \
+ T##_f[3], T##_f[2], T##_f[1]); \
+ R##_f[1] += (q); \
+ } \
+ _FP_FRAC_SLL_4 (X, 1); \
+ (q) >>= 1; \
+ } \
+ (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
+ while ((q) != _FP_WORK_ROUND) \
+ { \
+ T##_f[0] = S##_f[0] + (q); \
+ T##_f[1] = S##_f[1]; \
+ T##_f[2] = S##_f[2]; \
+ T##_f[3] = S##_f[3]; \
+ if (_FP_FRAC_GE_4 (X, T)) \
+ { \
+ S##_f[0] = T##_f[0] + (q); \
+ S##_f[1] += (T##_f[0] > S##_f[0]); \
+ S##_f[2] += (T##_f[1] > S##_f[1]); \
+ S##_f[3] += (T##_f[2] > S##_f[2]); \
+ _FP_FRAC_DEC_4 (X, T); \
+ R##_f[0] += (q); \
+ } \
+ _FP_FRAC_SLL_4 (X, 1); \
+ (q) >>= 1; \
+ } \
+ if (!_FP_FRAC_ZEROP_4 (X)) \
+ { \
+ if (_FP_FRAC_GT_4 (X, S)) \
+ R##_f[0] |= _FP_WORK_ROUND; \
+ R##_f[0] |= _FP_WORK_STICKY; \
+ } \
+ } \
+ while (0)
+
+
+/* Internals. */
+
+#define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \
(X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0)
#ifndef __FP_FRAC_ADD_3
-#define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \
- (r0 = x0 + y0, \
- r1 = x1 + y1 + (r0 < x0), \
- r2 = x2 + y2 + (r1 < x1))
+# define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \
+ do \
+ { \
+ _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \
+ r0 = x0 + y0; \
+ __FP_FRAC_ADD_3_c1 = r0 < x0; \
+ r1 = x1 + y1; \
+ __FP_FRAC_ADD_3_c2 = r1 < x1; \
+ r1 += __FP_FRAC_ADD_3_c1; \
+ __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \
+ r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \
+ } \
+ while (0)
#endif
#ifndef __FP_FRAC_ADD_4
-#define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
- (r0 = x0 + y0, \
- r1 = x1 + y1 + (r0 < x0), \
- r2 = x2 + y2 + (r1 < x1), \
- r3 = x3 + y3 + (r2 < x2))
+# define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \
+ do \
+ { \
+ _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \
+ _FP_W_TYPE __FP_FRAC_ADD_4_c3; \
+ r0 = x0 + y0; \
+ __FP_FRAC_ADD_4_c1 = r0 < x0; \
+ r1 = x1 + y1; \
+ __FP_FRAC_ADD_4_c2 = r1 < x1; \
+ r1 += __FP_FRAC_ADD_4_c1; \
+ __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \
+ r2 = x2 + y2; \
+ __FP_FRAC_ADD_4_c3 = r2 < x2; \
+ r2 += __FP_FRAC_ADD_4_c2; \
+ __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \
+ r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \
+ } \
+ while (0)
#endif
#ifndef __FP_FRAC_SUB_3
-#define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \
- (r0 = x0 - y0, \
- r1 = x1 - y1 - (r0 > x0), \
- r2 = x2 - y2 - (r1 > x1))
+# define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \
+ do \
+ { \
+ _FP_W_TYPE __FP_FRAC_SUB_3_tmp[2]; \
+ _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \
+ __FP_FRAC_SUB_3_tmp[0] = x0 - y0; \
+ __FP_FRAC_SUB_3_c1 = __FP_FRAC_SUB_3_tmp[0] > x0; \
+ __FP_FRAC_SUB_3_tmp[1] = x1 - y1; \
+ __FP_FRAC_SUB_3_c2 = __FP_FRAC_SUB_3_tmp[1] > x1; \
+ __FP_FRAC_SUB_3_tmp[1] -= __FP_FRAC_SUB_3_c1; \
+ __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \
+ r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \
+ r1 = __FP_FRAC_SUB_3_tmp[1]; \
+ r0 = __FP_FRAC_SUB_3_tmp[0]; \
+ } \
+ 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) \
- (r0 = x0 - y0, \
- r1 = x1 - y1 - (r0 > x0), \
- r2 = x2 - y2 - (r1 > x1), \
- r3 = x3 - y3 - (r2 > x2))
+# define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \
+ do \
+ { \
+ _FP_W_TYPE __FP_FRAC_SUB_4_tmp[3]; \
+ _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \
+ _FP_W_TYPE __FP_FRAC_SUB_4_c3; \
+ __FP_FRAC_SUB_4_tmp[0] = x0 - y0; \
+ __FP_FRAC_SUB_4_c1 = __FP_FRAC_SUB_4_tmp[0] > x0; \
+ __FP_FRAC_SUB_4_tmp[1] = x1 - y1; \
+ __FP_FRAC_SUB_4_c2 = __FP_FRAC_SUB_4_tmp[1] > x1; \
+ __FP_FRAC_SUB_4_tmp[1] -= __FP_FRAC_SUB_4_c1; \
+ __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \
+ __FP_FRAC_SUB_4_tmp[2] = x2 - y2; \
+ __FP_FRAC_SUB_4_c3 = __FP_FRAC_SUB_4_tmp[2] > x2; \
+ __FP_FRAC_SUB_4_tmp[2] -= __FP_FRAC_SUB_4_c2; \
+ __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \
+ r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \
+ r2 = __FP_FRAC_SUB_4_tmp[2]; \
+ r1 = __FP_FRAC_SUB_4_tmp[1]; \
+ r0 = __FP_FRAC_SUB_4_tmp[0]; \
+ } \
+ while (0)
#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)
+# define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \
+ do \
+ { \
+ UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \
+ UWtype __FP_FRAC_DEC_3_t2; \
+ __FP_FRAC_DEC_3_t0 = x0; \
+ __FP_FRAC_DEC_3_t1 = x1; \
+ __FP_FRAC_DEC_3_t2 = x2; \
+ __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \
+ __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \
+ y2, y1, y0); \
+ } \
+ while (0)
#endif
#ifndef __FP_FRAC_DEC_4
-#define __FP_FRAC_DEC_4(x3,x2,x1,x0,y3,y2,y1,y0) \
- do { \
- UWtype _t0, _t1; \
- _t0 = x0; \
- x0 -= y0; \
- _t1 = x1; \
- x1 -= y1 + (x0 > _t0); \
- _t0 = x2; \
- x2 -= y2 + (x1 > _t1); \
- x3 -= y3 + (x2 > _t0); \
- } while (0)
+# define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \
+ do \
+ { \
+ UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \
+ UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \
+ __FP_FRAC_DEC_4_t0 = x0; \
+ __FP_FRAC_DEC_4_t1 = x1; \
+ __FP_FRAC_DEC_4_t2 = x2; \
+ __FP_FRAC_DEC_4_t3 = x3; \
+ __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \
+ __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \
+ __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \
+ } \
+ while (0)
#endif
#ifndef __FP_FRAC_ADDI_4
-#define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \
- do { \
- UWtype _t; \
- _t = ((x0 += i) < i); \
- x1 += _t; _t = (x1 < _t); \
- x2 += _t; _t = (x2 < _t); \
- x3 += _t; \
- } while (0)
+# define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \
+ do \
+ { \
+ UWtype __FP_FRAC_ADDI_4_t; \
+ __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \
+ x1 += __FP_FRAC_ADDI_4_t; \
+ __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \
+ x2 += __FP_FRAC_ADDI_4_t; \
+ __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \
+ x3 += __FP_FRAC_ADDI_4_t; \
+ } \
+ while (0)
#endif
/* Convert FP values between word sizes. This appears to be more
- * complicated than I'd have expected it to be, so these might be
- * wrong... These macros are in any case somewhat bogus because they
- * use information about what various FRAC_n variables look like
- * internally [eg, that 2 word vars are X_f0 and x_f1]. But so do
- * the ones in op-2.h and op-1.h.
- */
-#define _FP_FRAC_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. */
+ complicated than I'd have expected it to be, so these might be
+ wrong... These macros are in any case somewhat bogus because they
+ use information about what various FRAC_n variables look like
+ internally [eg, that 2 word vars are X_f0 and x_f1]. But so do
+ the ones in op-2.h and op-1.h. */
+#define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0])
+
+#define _FP_FRAC_COPY_2_4(D, S) \
+ do \
+ { \
+ D##_f0 = S##_f[0]; \
+ D##_f1 = S##_f[1]; \
+ } \
+ while (0)
+
+/* Assembly/disassembly for converting to/from integral types.
+ No shifting or overflow handled here. */
+/* Put the FP value X into r, which is an integer of size rsize. */
#define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \
- do { \
- if (rsize <= _FP_W_TYPE_SIZE) \
- r = X##_f[0]; \
- else if (rsize <= 2*_FP_W_TYPE_SIZE) \
- { \
- r = X##_f[1]; \
- r <<= _FP_W_TYPE_SIZE; \
- r += X##_f[0]; \
- } \
- else \
+ do \
{ \
- /* 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]; \
+ if ((rsize) <= _FP_W_TYPE_SIZE) \
+ (r) = X##_f[0]; \
+ else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \
+ { \
+ (r) = X##_f[1]; \
+ (r) = ((rsize) <= _FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) << _FP_W_TYPE_SIZE); \
+ (r) += X##_f[0]; \
+ } \
+ else \
+ { \
+ /* I'm feeling lazy so we deal with int == 3words \
+ (implausible) and int == 4words as a single case. */ \
+ (r) = X##_f[3]; \
+ (r) = ((rsize) <= _FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) << _FP_W_TYPE_SIZE); \
+ (r) += X##_f[2]; \
+ (r) = ((rsize) <= _FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) << _FP_W_TYPE_SIZE); \
+ (r) += X##_f[1]; \
+ (r) = ((rsize) <= _FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) << _FP_W_TYPE_SIZE); \
+ (r) += X##_f[0]; \
+ } \
} \
- } while (0)
+ 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)
-
+/* Move an integer of size rsize into X's fractional part. We rely on
+ the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid
+ having to mask the values we store into it. */
+#define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \
+ do \
+ { \
+ X##_f[0] = (r); \
+ X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) >> _FP_W_TYPE_SIZE); \
+ X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) >> 2*_FP_W_TYPE_SIZE); \
+ X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \
+ ? 0 \
+ : (r) >> 3*_FP_W_TYPE_SIZE); \
+ } \
+ while (0)
+
+#define _FP_FRAC_COPY_4_1(D, S) \
+ do \
+ { \
+ D##_f[0] = S##_f; \
+ D##_f[1] = D##_f[2] = D##_f[3] = 0; \
+ } \
+ while (0)
+
+#define _FP_FRAC_COPY_4_2(D, S) \
+ do \
+ { \
+ D##_f[0] = S##_f0; \
+ D##_f[1] = S##_f1; \
+ D##_f[2] = D##_f[3] = 0; \
+ } \
+ while (0)
+
+#define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S)
+
+#endif /* !SOFT_FP_OP_4_H */
projects / thirdparty / glibc.git / blobdiff