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TOMOYO Linux Cross Reference
Linux/arch/x86/math-emu/poly.h

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  1 /* SPDX-License-Identifier: GPL-2.0 */
  2 /*---------------------------------------------------------------------------+
  3  |  poly.h                                                                   |
  4  |                                                                           |
  5  |  Header file for the FPU-emu poly*.c source files.                        |
  6  |                                                                           |
  7  | Copyright (C) 1994,1999                                                   |
  8  |                       W. Metzenthen, 22 Parker St, Ormond, Vic 3163,      |
  9  |                       Australia.  E-mail   billm@melbpc.org.au            |
 10  |                                                                           |
 11  | Declarations and definitions for functions operating on Xsig (12-byte     |
 12  | extended-significand) quantities.                                         |
 13  |                                                                           |
 14  +---------------------------------------------------------------------------*/
 15 
 16 #ifndef _POLY_H
 17 #define _POLY_H
 18 
 19 /* This 12-byte structure is used to improve the accuracy of computation
 20    of transcendental functions.
 21    Intended to be used to get results better than 8-byte computation
 22    allows. 9-byte would probably be sufficient.
 23    */
 24 typedef struct {
 25         unsigned long lsw;
 26         unsigned long midw;
 27         unsigned long msw;
 28 } Xsig;
 29 
 30 asmlinkage void mul64(unsigned long long const *a, unsigned long long const *b,
 31                       unsigned long long *result);
 32 asmlinkage void polynomial_Xsig(Xsig *, const unsigned long long *x,
 33                                 const unsigned long long terms[], const int n);
 34 
 35 asmlinkage void mul32_Xsig(Xsig *, const unsigned long mult);
 36 asmlinkage void mul64_Xsig(Xsig *, const unsigned long long *mult);
 37 asmlinkage void mul_Xsig_Xsig(Xsig *dest, const Xsig *mult);
 38 
 39 asmlinkage void shr_Xsig(Xsig *, const int n);
 40 asmlinkage int round_Xsig(Xsig *);
 41 asmlinkage int norm_Xsig(Xsig *);
 42 asmlinkage void div_Xsig(Xsig *x1, const Xsig *x2, const Xsig *dest);
 43 
 44 /* Macro to extract the most significant 32 bits from a long long */
 45 #define LL_MSW(x)     (((unsigned long *)&x)[1])
 46 
 47 /* Macro to initialize an Xsig struct */
 48 #define MK_XSIG(a,b,c)     { c, b, a }
 49 
 50 /* Macro to access the 8 ms bytes of an Xsig as a long long */
 51 #define XSIG_LL(x)         (*(unsigned long long *)&x.midw)
 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  */
 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":"=a" (retval)
 68                       :""(arg1), "g"(arg2)
 69                       :"dx");
 70         return retval;
 71 }
 72 
 73 /* Add the 12 byte Xsig x2 to Xsig dest, with no checks for overflow. */
 74 static inline void add_Xsig_Xsig(Xsig *dest, const Xsig *x2)
 75 {
 76         asm volatile ("movl %1,%%edi; movl %2,%%esi;\n"
 77                       "movl (%%esi),%%eax; addl %%eax,(%%edi);\n"
 78                       "movl 4(%%esi),%%eax; adcl %%eax,4(%%edi);\n"
 79                       "movl 8(%%esi),%%eax; adcl %%eax,8(%%edi);\n":"=g"
 80                       (*dest):"g"(dest), "g"(x2)
 81                       :"ax", "si", "di");
 82 }
 83 
 84 /* Add the 12 byte Xsig x2 to Xsig dest, adjust exp if overflow occurs. */
 85 /* Note: the constraints in the asm statement didn't always work properly
 86    with gcc 2.5.8.  Changing from using edi to using ecx got around the
 87    problem, but keep fingers crossed! */
 88 static inline void add_two_Xsig(Xsig *dest, const Xsig *x2, long int *exp)
 89 {
 90         asm volatile ("movl %2,%%ecx; movl %3,%%esi;\n"
 91                       "movl (%%esi),%%eax; addl %%eax,(%%ecx);\n"
 92                       "movl 4(%%esi),%%eax; adcl %%eax,4(%%ecx);\n"
 93                       "movl 8(%%esi),%%eax; adcl %%eax,8(%%ecx);\n"
 94                       "jnc 0f;\n"
 95                       "rcrl 8(%%ecx); rcrl 4(%%ecx); rcrl (%%ecx)\n"
 96                       "movl %4,%%ecx; incl (%%ecx)\n"
 97                       "movl $1,%%eax; jmp 1f;\n"
 98                       "0: xorl %%eax,%%eax;\n" "1:\n":"=g" (*exp), "=g"(*dest)
 99                       :"g"(dest), "g"(x2), "g"(exp)
100                       :"cx", "si", "ax");
101 }
102 
103 /* Negate (subtract from 1.0) the 12 byte Xsig */
104 /* This is faster in a loop on my 386 than using the "neg" instruction. */
105 static inline void negate_Xsig(Xsig *x)
106 {
107         asm volatile ("movl %1,%%esi;\n"
108                       "xorl %%ecx,%%ecx;\n"
109                       "movl %%ecx,%%eax; subl (%%esi),%%eax; movl %%eax,(%%esi);\n"
110                       "movl %%ecx,%%eax; sbbl 4(%%esi),%%eax; movl %%eax,4(%%esi);\n"
111                       "movl %%ecx,%%eax; sbbl 8(%%esi),%%eax; movl %%eax,8(%%esi);\n":"=g"
112                       (*x):"g"(x):"si", "ax", "cx");
113 }
114 
115 #endif /* _POLY_H */
116 

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