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authorLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
committerLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
commit1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch)
tree0bba044c4ce775e45a88a51686b5d9f90697ea9d /include/math-emu/op-common.h
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Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history, even though we have it. We can create a separate "historical" git archive of that later if we want to, and in the meantime it's about 3.2GB when imported into git - space that would just make the early git days unnecessarily complicated, when we don't have a lot of good infrastructure for it. Let it rip!
Diffstat (limited to 'include/math-emu/op-common.h')
-rw-r--r--include/math-emu/op-common.h853
1 files changed, 853 insertions, 0 deletions
diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h
new file mode 100644
index 00000000000..93780abd01b
--- /dev/null
+++ b/include/math-emu/op-common.h
@@ -0,0 +1,853 @@
+/* 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 truely 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); \
+ } \
+ 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); \
+ _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); \
+ } \
+ else \
+ { \
+ X##_e = 0; \
+ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
+ 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; \
+ 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; \
+ 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); \
+ break; \
+ } \
+ /* FALLTHRU */ \
+ \
+ 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; \
+ \
+ 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; \
+ \
+ 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); \
+ 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); \
+ 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): \
+ 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); \
+ 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 \
+ { \
+ 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_ROUND(wc, X); \
+ _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; \
+ if (rsize <= _FP_W_TYPE_SIZE) \
+ __FP_CLZ(X##_e, ur_); \
+ else \
+ __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__ */