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      1 /*
      2  * ====================================================
      3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      4  *
      5  * Developed at SunPro, a Sun Microsystems, Inc. business.
      6  * Permission to use, copy, modify, and distribute this
      7  * software is freely granted, provided that this notice
      8  * is preserved.
      9  * ====================================================
     10  */
     11 
     12 /*
     13  * from: @(#)fdlibm.h 5.1 93/09/24
     14  * $Id$
     15  */
     16 
     17 #ifndef _MATH_PRIVATE_H_
     18 #define _MATH_PRIVATE_H_
     19 
     20 #include "SDL_name.h"
     21 #include "SDL_endian.h"
     22 
     23 #define huge		really_big /* huge is a reserved keyword in VC++ 6.0 */
     24 #define u_int32_t	uint32_t
     25 
     26 /* The original fdlibm code used statements like:
     27 	n0 = ((*(int*)&one)>>29)^1;		* index of high word *
     28 	ix0 = *(n0+(int*)&x);			* high word of x *
     29 	ix1 = *((1-n0)+(int*)&x);		* low word of x *
     30    to dig two 32 bit words out of the 64 bit IEEE floating point
     31    value.  That is non-ANSI, and, moreover, the gcc instruction
     32    scheduler gets it wrong.  We instead use the following macros.
     33    Unlike the original code, we determine the endianness at compile
     34    time, not at run time; I don't see much benefit to selecting
     35    endianness at run time.  */
     36 
     37 /* A union which permits us to convert between a double and two 32 bit
     38    ints.  */
     39 
     40 /*
     41  * Math on arm is special:
     42  * For FPA, float words are always big-endian.
     43  * For VFP, floats words follow the memory system mode.
     44  */
     45 
     46 #if (SDL_BYTEORDER == SDL_BIG_ENDIAN) || \
     47     (!defined(__VFP_FP__) && (defined(__arm__) || defined(__thumb__)))
     48 
     49 typedef union
     50 {
     51   double value;
     52   struct
     53   {
     54     u_int32_t msw;
     55     u_int32_t lsw;
     56   } parts;
     57 } ieee_double_shape_type;
     58 
     59 #else
     60 
     61 typedef union
     62 {
     63   double value;
     64   struct
     65   {
     66     u_int32_t lsw;
     67     u_int32_t msw;
     68   } parts;
     69 } ieee_double_shape_type;
     70 
     71 #endif
     72 
     73 /* Get two 32 bit ints from a double.  */
     74 
     75 #define EXTRACT_WORDS(ix0,ix1,d)				\
     76 do {								\
     77   ieee_double_shape_type ew_u;					\
     78   ew_u.value = (d);						\
     79   (ix0) = ew_u.parts.msw;					\
     80   (ix1) = ew_u.parts.lsw;					\
     81 } while (0)
     82 
     83 /* Get the more significant 32 bit int from a double.  */
     84 
     85 #define GET_HIGH_WORD(i,d)					\
     86 do {								\
     87   ieee_double_shape_type gh_u;					\
     88   gh_u.value = (d);						\
     89   (i) = gh_u.parts.msw;						\
     90 } while (0)
     91 
     92 /* Get the less significant 32 bit int from a double.  */
     93 
     94 #define GET_LOW_WORD(i,d)					\
     95 do {								\
     96   ieee_double_shape_type gl_u;					\
     97   gl_u.value = (d);						\
     98   (i) = gl_u.parts.lsw;						\
     99 } while (0)
    100 
    101 /* Set a double from two 32 bit ints.  */
    102 
    103 #define INSERT_WORDS(d,ix0,ix1)					\
    104 do {								\
    105   ieee_double_shape_type iw_u;					\
    106   iw_u.parts.msw = (ix0);					\
    107   iw_u.parts.lsw = (ix1);					\
    108   (d) = iw_u.value;						\
    109 } while (0)
    110 
    111 /* Set the more significant 32 bits of a double from an int.  */
    112 
    113 #define SET_HIGH_WORD(d,v)					\
    114 do {								\
    115   ieee_double_shape_type sh_u;					\
    116   sh_u.value = (d);						\
    117   sh_u.parts.msw = (v);						\
    118   (d) = sh_u.value;						\
    119 } while (0)
    120 
    121 /* Set the less significant 32 bits of a double from an int.  */
    122 
    123 #define SET_LOW_WORD(d,v)					\
    124 do {								\
    125   ieee_double_shape_type sl_u;					\
    126   sl_u.value = (d);						\
    127   sl_u.parts.lsw = (v);						\
    128   (d) = sl_u.value;						\
    129 } while (0)
    130 
    131 /* A union which permits us to convert between a float and a 32 bit
    132    int.  */
    133 
    134 typedef union
    135 {
    136   float value;
    137   u_int32_t word;
    138 } ieee_float_shape_type;
    139 
    140 /* Get a 32 bit int from a float.  */
    141 
    142 #define GET_FLOAT_WORD(i,d)					\
    143 do {								\
    144   ieee_float_shape_type gf_u;					\
    145   gf_u.value = (d);						\
    146   (i) = gf_u.word;						\
    147 } while (0)
    148 
    149 /* Set a float from a 32 bit int.  */
    150 
    151 #define SET_FLOAT_WORD(d,i)					\
    152 do {								\
    153   ieee_float_shape_type sf_u;					\
    154   sf_u.word = (i);						\
    155   (d) = sf_u.value;						\
    156 } while (0)
    157 
    158 
    159 #ifdef __STDC__
    160 static const double
    161 #else
    162 static double
    163 #endif
    164 zero    =  0.0,
    165 one	=  1.0,
    166 two	=  2.0,
    167 two53	=  9007199254740992.0,	/* 0x43400000, 0x00000000 */
    168 two54   =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
    169 twom54  =  5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
    170 huge   = 1.0e+300,
    171 tiny   = 1.0e-300;
    172 
    173 #endif /* _MATH_PRIVATE_H_ */
    174