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-rw-r--r--soft-fp/op-1.h377
1 files changed, 205 insertions, 172 deletions
diff --git a/soft-fp/op-1.h b/soft-fp/op-1.h
index a9ad0d6..e4d84bf 100644
--- a/soft-fp/op-1.h
+++ b/soft-fp/op-1.h
@@ -39,12 +39,14 @@
#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)
+ 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. */
@@ -52,15 +54,19 @@
#define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz)
#define __FP_FRAC_SRST_1(X,S,N,sz) \
-do { \
- S = (__builtin_constant_p(N) && (N) == 1 \
- ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0); \
- X = X >> (N); \
-} while (0)
-
-#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)))
+ do \
+ { \
+ S = (__builtin_constant_p(N) && (N) == 1 \
+ ? X & 1 \
+ : (X << (_FP_W_TYPE_SIZE - (N))) != 0); \
+ X = X >> (N); \
+ } \
+ while (0)
+
+#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)
@@ -86,49 +92,56 @@ do { \
* 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)
+#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)
+#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)
/*
@@ -138,74 +151,86 @@ do { \
/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the
multiplication immediately. */
-#define _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y) \
- do { \
- R##_f = X##_f * Y##_f; \
- } while (0)
+#define _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y) \
+ do \
+ { \
+ R##_f = X##_f * Y##_f; \
+ } \
+ while (0)
#define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \
- do { \
- _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y); \
- /* Normalize since we know where the msb of the multiplicands \
- were (bit B), we know that the msb of the of the product is \
- at either 2B or 2B-1. */ \
- _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \
- } while (0)
+ do \
+ { \
+ _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y); \
+ /* Normalize since we know where the msb of the multiplicands \
+ were (bit B), we know that the msb of the of the product is \
+ at either 2B or 2B-1. */ \
+ _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \
+ } \
+ while (0)
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
-#define _FP_MUL_MEAT_DW_1_wide(wfracbits, R, X, Y, doit) \
- do { \
- doit(R##_f1, R##_f0, X##_f, Y##_f); \
- } while (0)
+#define _FP_MUL_MEAT_DW_1_wide(wfracbits, R, X, Y, doit) \
+ do \
+ { \
+ doit(R##_f1, R##_f0, X##_f, Y##_f); \
+ } \
+ while (0)
#define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \
- do { \
- _FP_FRAC_DECL_2(_Z); \
- _FP_MUL_MEAT_DW_1_wide(wfracbits, _Z, X, Y, doit); \
- /* Normalize since we know where the msb of the multiplicands \
- were (bit B), we know that the msb of the of the product is \
- at either 2B or 2B-1. */ \
- _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \
- R##_f = _Z_f0; \
- } while (0)
+ do \
+ { \
+ _FP_FRAC_DECL_2(_Z); \
+ _FP_MUL_MEAT_DW_1_wide(wfracbits, _Z, X, Y, doit); \
+ /* Normalize since we know where the msb of the multiplicands \
+ were (bit B), we know that the msb of the of the product is \
+ at either 2B or 2B-1. */ \
+ _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \
+ R##_f = _Z_f0; \
+ } \
+ while (0)
/* Finally, a simple widening multiply algorithm. What fun! */
#define _FP_MUL_MEAT_DW_1_hard(wfracbits, R, X, Y) \
- do { \
- _FP_W_TYPE _xh, _xl, _yh, _yl; \
- _FP_FRAC_DECL_2(_a); \
- \
- /* 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); \
+ do \
+ { \
+ _FP_W_TYPE _xh, _xl, _yh, _yl; \
+ _FP_FRAC_DECL_2(_a); \
\
- /* multiply the pieces */ \
- R##_f0 = _xl * _yl; \
- _a_f0 = _xh * _yl; \
- _a_f1 = _xl * _yh; \
- R##_f1 = _xh * _yh; \
+ /* 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); \
\
- /* reassemble into two full words */ \
- if ((_a_f0 += _a_f1) < _a_f1) \
- R##_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(R, R, _a); \
- } while (0)
-
-#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \
- do { \
- _FP_FRAC_DECL_2(_z); \
- _FP_MUL_MEAT_DW_1_hard(wfracbits, _z, X, Y); \
+ /* multiply the pieces */ \
+ R##_f0 = _xl * _yl; \
+ _a_f0 = _xh * _yl; \
+ _a_f1 = _xl * _yh; \
+ R##_f1 = _xh * _yh; \
\
- /* normalize */ \
- _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \
- R##_f = _z_f0; \
- } while (0)
+ /* reassemble into two full words */ \
+ if ((_a_f0 += _a_f1) < _a_f1) \
+ R##_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(R, R, _a); \
+ } \
+ while (0)
+
+#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \
+ do \
+ { \
+ _FP_FRAC_DECL_2(_z); \
+ _FP_MUL_MEAT_DW_1_hard(wfracbits, _z, X, Y); \
+ \
+ /* normalize */ \
+ _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \
+ R##_f = _z_f0; \
+ } \
+ while (0)
/*
@@ -217,15 +242,17 @@ do { \
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)
+#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
@@ -233,46 +260,50 @@ do { \
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; \
+ 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; \
+ /* 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; \
- } \
+ /* 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)
+ 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)
+ 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)
/*
@@ -281,27 +312,29 @@ do { \
* 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)
+#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.