1 /*---------------------------------------------------------------------------+
2  |  poly.h                                                                   |
3  |                                                                           |
4  |  Header file for the FPU-emu poly*.c source files.                        |
5  |                                                                           |
6  | Copyright (C) 1994,1999                                                   |
7  |                       W. Metzenthen, 22 Parker St, Ormond, Vic 3163,      |
8  |                       Australia.  E-mail   billm@melbpc.org.au            |
9  |                                                                           |
10  | Declarations and definitions for functions operating on Xsig (12-byte     |
11  | extended-significand) quantities.                                         |
12  |                                                                           |
13  +---------------------------------------------------------------------------*/
14 
15 #ifndef _POLY_H
16 #define _POLY_H
17 
18 /* This 12-byte structure is used to improve the accuracy of computation
19    of transcendental functions.
20    Intended to be used to get results better than 8-byte computation
21    allows. 9-byte would probably be sufficient.
22    */
23 typedef struct {
24   unsigned long lsw;
25   unsigned long midw;
26   unsigned long msw;
27 } Xsig;
28 
29 asmlinkage void mul64(unsigned long long const *a, unsigned long long const *b,
30 		      unsigned long long *result);
31 asmlinkage void polynomial_Xsig(Xsig *, const unsigned long long *x,
32 				const unsigned long long terms[], const int n);
33 
34 asmlinkage void mul32_Xsig(Xsig *, const unsigned long mult);
35 asmlinkage void mul64_Xsig(Xsig *, const unsigned long long *mult);
36 asmlinkage void mul_Xsig_Xsig(Xsig *dest, const Xsig *mult);
37 
38 asmlinkage void shr_Xsig(Xsig *, const int n);
39 asmlinkage int round_Xsig(Xsig *);
40 asmlinkage int norm_Xsig(Xsig *);
41 asmlinkage void div_Xsig(Xsig *x1, const Xsig *x2, const Xsig *dest);
42 
43 /* Macro to extract the most significant 32 bits from a long long */
44 #define LL_MSW(x)     (((unsigned long *)&x)[1])
45 
46 /* Macro to initialize an Xsig struct */
47 #define MK_XSIG(a,b,c)     { c, b, a }
48 
49 /* Macro to access the 8 ms bytes of an Xsig as a long long */
50 #define XSIG_LL(x)         (*(unsigned long long *)&x.midw)
51 
52 
53 /*
54    Need to run gcc with optimizations on to get these to
55    actually be in-line.
56    */
57 
58 /* Multiply two fixed-point 32 bit numbers, producing a 32 bit result.
59    The answer is the ms word of the product. */
60 /* Some versions of gcc make it difficult to stop eax from being clobbered.
61    Merely specifying that it is used doesn't work...
62  */
mul_32_32(const unsigned long arg1,const unsigned long arg2)63 static inline unsigned long mul_32_32(const unsigned long arg1,
64 				      const unsigned long arg2)
65 {
66   int retval;
67   asm volatile ("mull %2; movl %%edx,%%eax; " \
68 		:"=a" (retval) \
69 		:"0" (arg1), "g" (arg2) \
70 		:"dx");
71   return retval;
72 }
73 
74 
75 /* Add the 12 byte Xsig x2 to Xsig dest, with no checks for overflow. */
add_Xsig_Xsig(Xsig * dest,const Xsig * x2)76 static inline void add_Xsig_Xsig(Xsig *dest, const Xsig *x2)
77 {
78   asm volatile ("movl %1,%%edi; movl %2,%%esi; " \
79                  "movl (%%esi),%%eax; addl %%eax,(%%edi); " \
80                  "movl 4(%%esi),%%eax; adcl %%eax,4(%%edi); " \
81                  "movl 8(%%esi),%%eax; adcl %%eax,8(%%edi); " \
82                  :"=g" (*dest):"g" (dest), "g" (x2) \
83                  :"ax","si","di");
84 }
85 
86 
87 /* Add the 12 byte Xsig x2 to Xsig dest, adjust exp if overflow occurs. */
88 /* Note: the constraints in the asm statement didn't always work properly
89    with gcc 2.5.8.  Changing from using edi to using ecx got around the
90    problem, but keep fingers crossed! */
add_two_Xsig(Xsig * dest,const Xsig * x2,long int * exp)91 static inline void add_two_Xsig(Xsig *dest, const Xsig *x2, long int *exp)
92 {
93   asm volatile ("movl %2,%%ecx; movl %3,%%esi; " \
94                  "movl (%%esi),%%eax; addl %%eax,(%%ecx); " \
95                  "movl 4(%%esi),%%eax; adcl %%eax,4(%%ecx); " \
96                  "movl 8(%%esi),%%eax; adcl %%eax,8(%%ecx); " \
97                  "jnc 0f; " \
98 		 "rcrl 8(%%ecx); rcrl 4(%%ecx); rcrl (%%ecx); " \
99                  "movl %4,%%ecx; incl (%%ecx); " \
100                  "movl $1,%%eax; jmp 1f; " \
101                  "0: xorl %%eax,%%eax; " \
102                  "1: " \
103 		:"=g" (*exp), "=g" (*dest) \
104 		:"g" (dest), "g" (x2), "g" (exp) \
105 		:"cx","si","ax");
106 }
107 
108 
109 /* Negate (subtract from 1.0) the 12 byte Xsig */
110 /* This is faster in a loop on my 386 than using the "neg" instruction. */
negate_Xsig(Xsig * x)111 static inline void negate_Xsig(Xsig *x)
112 {
113   asm volatile("movl %1,%%esi; " \
114                "xorl %%ecx,%%ecx; " \
115                "movl %%ecx,%%eax; subl (%%esi),%%eax; movl %%eax,(%%esi); " \
116                "movl %%ecx,%%eax; sbbl 4(%%esi),%%eax; movl %%eax,4(%%esi); " \
117                "movl %%ecx,%%eax; sbbl 8(%%esi),%%eax; movl %%eax,8(%%esi); " \
118                :"=g" (*x):"g" (x):"si","ax","cx");
119 }
120 
121 #endif /* _POLY_H */
122