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-rw-r--r--include/math-emu/double.h205
-rw-r--r--include/math-emu/op-1.h303
-rw-r--r--include/math-emu/op-2.h605
-rw-r--r--include/math-emu/op-4.h692
-rw-r--r--include/math-emu/op-8.h107
-rw-r--r--include/math-emu/op-common.h885
-rw-r--r--include/math-emu/quad.h208
-rw-r--r--include/math-emu/single.h116
-rw-r--r--include/math-emu/soft-fp.h207
9 files changed, 3328 insertions, 0 deletions
diff --git a/include/math-emu/double.h b/include/math-emu/double.h
new file mode 100644
index 000000000..655ccf1c4
--- /dev/null
+++ b/include/math-emu/double.h
@@ -0,0 +1,205 @@
+/* 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__ */
diff --git a/include/math-emu/op-1.h b/include/math-emu/op-1.h
new file mode 100644
index 000000000..3be3bb422
--- /dev/null
+++ b/include/math-emu/op-1.h
@@ -0,0 +1,303 @@
+/* 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__ */
diff --git a/include/math-emu/op-2.h b/include/math-emu/op-2.h
new file mode 100644
index 000000000..244522b02
--- /dev/null
+++ b/include/math-emu/op-2.h
@@ -0,0 +1,605 @@
+/* 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
diff --git a/include/math-emu/op-4.h b/include/math-emu/op-4.h
new file mode 100644
index 000000000..ba226f823
--- /dev/null
+++ b/include/math-emu/op-4.h
@@ -0,0 +1,692 @@
+/* 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
diff --git a/include/math-emu/op-8.h b/include/math-emu/op-8.h
new file mode 100644
index 000000000..8b8c05eb8
--- /dev/null
+++ b/include/math-emu/op-8.h
@@ -0,0 +1,107 @@
+/* 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
diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h
new file mode 100644
index 000000000..8ce066c03
--- /dev/null
+++ b/include/math-emu/op-common.h
@@ -0,0 +1,885 @@
+/* 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); \
+ fallthrough; \
+ case FP_CLS_ZERO: \
+ r = 0; \
+ } \
+ else if (X##_e >= rsize - (rsigned > 0 || X##_s) \
+ || (!rsigned && X##_s)) \
+ { /* overflow */ \
+ fallthrough; \
+ 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 */ \
+ fallthrough; \
+ 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__ */
diff --git a/include/math-emu/quad.h b/include/math-emu/quad.h
new file mode 100644
index 000000000..616113626
--- /dev/null
+++ b/include/math-emu/quad.h
@@ -0,0 +1,208 @@
+/* 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__ */
diff --git a/include/math-emu/single.h b/include/math-emu/single.h
new file mode 100644
index 000000000..87f90b0f9
--- /dev/null
+++ b/include/math-emu/single.h
@@ -0,0 +1,116 @@
+/* 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__ */
diff --git a/include/math-emu/soft-fp.h b/include/math-emu/soft-fp.h
new file mode 100644
index 000000000..5650c1628
--- /dev/null
+++ b/include/math-emu/soft-fp.h
@@ -0,0 +1,207 @@
+/* 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__ */
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-01 15:00:39 +0000