patch-2.3.16 linux/arch/ppc/math-emu/op-2.h
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- Lines: 434
- Date:
Tue Aug 31 11:36:43 1999
- Orig file:
v2.3.15/linux/arch/ppc/math-emu/op-2.h
- Orig date:
Wed Dec 31 16:00:00 1969
diff -u --recursive --new-file v2.3.15/linux/arch/ppc/math-emu/op-2.h linux/arch/ppc/math-emu/op-2.h
@@ -0,0 +1,433 @@
+/*
+ * Basic two-word fraction declaration and manipulation.
+ */
+
+#define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1
+#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) \
+ do { \
+ if ((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); \
+ } \
+ } \
+ else \
+ { \
+ X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \
+ X##_f0 = 0; \
+ } \
+ } while (0)
+
+#define _FP_FRAC_SRL_2(X,N) \
+ do { \
+ if ((N) < _FP_W_TYPE_SIZE) \
+ { \
+ X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \
+ X##_f1 >>= (N); \
+ } \
+ else \
+ { \
+ X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \
+ X##_f1 = 0; \
+ } \
+ } while (0)
+
+/* Right shift with sticky-lsb. */
+#define _FP_FRAC_SRS_2(X,N,sz) \
+ do { \
+ if ((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); \
+ } \
+ else \
+ { \
+ X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \
+ (((X##_f1 << (sz - (N))) | X##_f0) != 0)); \
+ X##_f1 = 0; \
+ } \
+ } while (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_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) (X##_f1 & _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
+
+/*
+ * 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,xl); \
+ 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
+
+#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
+
+#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)
+
+
+/*
+ * 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)
+
+
+/*
+ * Multiplication algorithms:
+ */
+
+/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
+
+#define _FP_MUL_MEAT_2_wide(fs, 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_4(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
+ _FP_FRAC_WORD_4(_z,1),_FP_FRAC_WORD_4(_z,0), \
+ 0, _b_f1, _b_f0, 0, \
+ _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
+ _FP_FRAC_WORD_4(_z,1),_FP_FRAC_WORD_4(_z,0)); \
+ __FP_FRAC_ADD_4(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
+ _FP_FRAC_WORD_4(_z,1),_FP_FRAC_WORD_4(_z,0), \
+ 0, _c_f1, _c_f0, 0, \
+ _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
+ _FP_FRAC_WORD_4(_z,1),_FP_FRAC_WORD_4(_z,0)); \
+ \
+ /* 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, _FP_WFRACBITS_##fs-1, 2*_FP_WFRACBITS_##fs); \
+ R##_f0 = _FP_FRAC_WORD_4(_z,0); \
+ R##_f1 = _FP_FRAC_WORD_4(_z,1); \
+ } while (0)
+
+/* This next macro appears to be totally broken. Fortunately nowhere
+ * seems to use it :-> The problem is that we define _z[4] but
+ * then use it in _FP_FRAC_SRS_4, which will attempt to access
+ * _z_f[n] which will cause an error. The fix probably involves
+ * declaring it with _FP_FRAC_DECL_4, see previous macro. -- PMM 02/1998
+ */
+#define _FP_MUL_MEAT_2_gmp(fs, R, X, Y) \
+ do { \
+ _FP_W_TYPE _x[2], _y[2], _z[4]; \
+ _x[0] = X##_f0; _x[1] = X##_f1; \
+ _y[0] = Y##_f0; _y[1] = Y##_f1; \
+ \
+ mpn_mul_n(_z, _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, _FP_WFRACBITS##_fs-1, 2*_FP_WFRACBITS_##fs); \
+ R##_f0 = _z[0]; \
+ R##_f1 = _z[1]; \
+ } while (0)
+
+
+/*
+ * Division algorithms:
+ * This seems to be giving me difficulties -- PMM
+ * Look, NetBSD seems to be able to comment algorithms. Can't you?
+ * I've thrown printks at the problem.
+ * This now appears to work, but I still don't really know why.
+ * Also, I don't think the result is properly normalised...
+ */
+
+#define _FP_DIV_MEAT_2_udiv_64(fs, R, X, Y) \
+ do { \
+ extern void _fp_udivmodti4(_FP_W_TYPE q[2], _FP_W_TYPE r[2], \
+ _FP_W_TYPE n1, _FP_W_TYPE n0, \
+ _FP_W_TYPE d1, _FP_W_TYPE d0); \
+ _FP_W_TYPE _n_f3, _n_f2, _n_f1, _n_f0, _r_f1, _r_f0; \
+ _FP_W_TYPE _q_f1, _q_f0, _m_f1, _m_f0; \
+ _FP_W_TYPE _rmem[2], _qmem[2]; \
+ /* I think this check is to ensure that the result is normalised. \
+ * Assuming X,Y normalised (ie in [1.0,2.0)) X/Y will be in \
+ * [0.5,2.0). Furthermore, it will be less than 1.0 iff X < Y. \
+ * In this case we tweak things. (this is based on comments in \
+ * the NetBSD FPU emulation code. ) \
+ * We know X,Y are normalised because we ensure this as part of \
+ * the unpacking process. -- PMM \
+ */ \
+ if (_FP_FRAC_GT_2(X, Y)) \
+ { \
+/* R##_e++; */ \
+ _n_f3 = X##_f1 >> 1; \
+ _n_f2 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \
+ _n_f1 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \
+ _n_f0 = 0; \
+ } \
+ else \
+ { \
+ R##_e--; \
+ _n_f3 = X##_f1; \
+ _n_f2 = X##_f0; \
+ _n_f1 = _n_f0 = 0; \
+ } \
+ \
+ /* Normalize, i.e. make the most significant bit of the \
+ denominator set. CHANGED: - 1 to nothing -- PMM */ \
+ _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs /* -1 */); \
+ \
+ /* Do the 256/128 bit division given the 128-bit _fp_udivmodtf4 \
+ primitive snagged from libgcc2.c. */ \
+ \
+ _fp_udivmodti4(_qmem, _rmem, _n_f3, _n_f2, 0, Y##_f1); \
+ _q_f1 = _qmem[0]; \
+ umul_ppmm(_m_f1, _m_f0, _q_f1, Y##_f0); \
+ _r_f1 = _rmem[0]; \
+ _r_f0 = _n_f1; \
+ if (_FP_FRAC_GT_2(_m, _r)) \
+ { \
+ _q_f1--; \
+ _FP_FRAC_ADD_2(_r, _r, Y); \
+ if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
+ { \
+ _q_f1--; \
+ _FP_FRAC_ADD_2(_r, _r, Y); \
+ } \
+ } \
+ _FP_FRAC_SUB_2(_r, _r, _m); \
+ \
+ _fp_udivmodti4(_qmem, _rmem, _r_f1, _r_f0, 0, Y##_f1); \
+ _q_f0 = _qmem[0]; \
+ umul_ppmm(_m_f1, _m_f0, _q_f0, Y##_f0); \
+ _r_f1 = _rmem[0]; \
+ _r_f0 = _n_f0; \
+ if (_FP_FRAC_GT_2(_m, _r)) \
+ { \
+ _q_f0--; \
+ _FP_FRAC_ADD_2(_r, _r, Y); \
+ if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
+ { \
+ _q_f0--; \
+ _FP_FRAC_ADD_2(_r, _r, Y); \
+ } \
+ } \
+ _FP_FRAC_SUB_2(_r, _r, _m); \
+ \
+ R##_f1 = _q_f1; \
+ R##_f0 = _q_f0 | ((_r_f1 | _r_f0) != 0); \
+ /* adjust so answer is normalized again. I'm not sure what the \
+ * final sz param should be. In practice it's never used since \
+ * N is 1 which is always going to be < _FP_W_TYPE_SIZE... \
+ */ \
+ /* _FP_FRAC_SRS_2(R,1,_FP_WFRACBITS_##fs); */ \
+ } 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-1 - _FP_W_TYPE_SIZE) | \
+ X##_f1 >> (_FP_W_TYPE_SIZE - \
+ (_FP_WFRACBITS-1 - _FP_W_TYPE_SIZE))); \
+ _x[2] = X##_f1 << (_FP_WFRACBITS-1 - _FP_W_TYPE_SIZE); \
+ } \
+ else \
+ { \
+ _x[1] = (X##_f0 << (_FP_WFRACBITS - _FP_W_TYPE_SIZE) | \
+ X##_f1 >> (_FP_W_TYPE_SIZE - \
+ (_FP_WFRACBITS - _FP_W_TYPE_SIZE))); \
+ _x[2] = X##_f1 << (_FP_WFRACBITS - _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) \
+ { \
+ 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; \
+ if (((_FP_WS_TYPE)T##_f0) < 0 && \
+ ((_FP_WS_TYPE)S##_f0) >= 0) \
+ S##_f1++; \
+ _FP_FRAC_SUB_2(X, X, T); \
+ R##_f0 += q; \
+ } \
+ _FP_FRAC_SLL_2(X, 1); \
+ q >>= 1; \
+ } \
+ } while (0)
+
+
+/*
+ * Assembly/disassembly for converting to/from integral types.
+ * No shifting or overflow handled here.
+ */
+
+#define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \
+ do { \
+ if (rsize <= _FP_W_TYPE_SIZE) \
+ r = X##_f0; \
+ else \
+ { \
+ r = X##_f1; \
+ r <<= _FP_W_TYPE_SIZE; \
+ r += X##_f0; \
+ } \
+ } while (0)
+
+#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 { \
+ _FP_FRAC_SRS_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \
+ _FP_WFRACBITS_##sfs); \
+ 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)
+
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