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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  * $NetBSD: math_private.h,v 1.12 2005/07/21 12:55:58 christos Exp $
     15  */
     16 
     17 #ifndef _MATH_PRIVATE_H_
     18 #define _MATH_PRIVATE_H_
     19 
     20 #include <sys/types.h>
     21 
     22 /* The original fdlibm code used statements like:
     23   n0 = ((*(int*)&one)>>29)^1;   * index of high word *
     24   ix0 = *(n0+(int*)&x);     * high word of x *
     25   ix1 = *((1-n0)+(int*)&x);   * low word of x *
     26    to dig two 32 bit words out of the 64 bit IEEE floating point
     27    value.  That is non-ANSI, and, moreover, the gcc instruction
     28    scheduler gets it wrong.  We instead use the following macros.
     29    Unlike the original code, we determine the endianness at compile
     30    time, not at run time; I don't see much benefit to selecting
     31    endianness at run time.  */
     32 
     33 /* A union which permits us to convert between a double and two 32 bit
     34    ints.  */
     35 
     36 /*
     37  * The ARM ports are little endian except for the FPA word order which is
     38  * big endian.
     39  */
     40 
     41 #if (BYTE_ORDER == BIG_ENDIAN) || (defined(__arm__) && !defined(__VFP_FP__))
     42 
     43 typedef union
     44 {
     45   double value;
     46   struct
     47   {
     48     u_int32_t msw;
     49     u_int32_t lsw;
     50   } parts;
     51 } ieee_double_shape_type;
     52 
     53 #endif
     54 
     55 #if (BYTE_ORDER == LITTLE_ENDIAN) && \
     56     !(defined(__arm__) && !defined(__VFP_FP__))
     57 
     58 typedef union
     59 {
     60   double value;
     61   struct
     62   {
     63     u_int32_t lsw;
     64     u_int32_t msw;
     65   } parts;
     66 } ieee_double_shape_type;
     67 
     68 #endif
     69 
     70 /* Get two 32 bit ints from a double.  */
     71 
     72 #define EXTRACT_WORDS(ix0,ix1,d)        \
     73 do {                \
     74   ieee_double_shape_type ew_u;          \
     75   ew_u.value = (d);           \
     76   (ix0) = ew_u.parts.msw;         \
     77   (ix1) = ew_u.parts.lsw;         \
     78 } while (0)
     79 
     80 /* Get the more significant 32 bit int from a double.  */
     81 
     82 #define GET_HIGH_WORD(i,d)          \
     83 do {                \
     84   ieee_double_shape_type gh_u;          \
     85   gh_u.value = (d);           \
     86   (i) = gh_u.parts.msw;           \
     87 } while (0)
     88 
     89 /* Get the less significant 32 bit int from a double.  */
     90 
     91 #define GET_LOW_WORD(i,d)         \
     92 do {                \
     93   ieee_double_shape_type gl_u;          \
     94   gl_u.value = (d);           \
     95   (i) = gl_u.parts.lsw;           \
     96 } while (0)
     97 
     98 /* Set a double from two 32 bit ints.  */
     99 
    100 #define INSERT_WORDS(d,ix0,ix1)         \
    101 do {                \
    102   ieee_double_shape_type iw_u;          \
    103   iw_u.parts.msw = (ix0);         \
    104   iw_u.parts.lsw = (ix1);         \
    105   (d) = iw_u.value;           \
    106 } while (0)
    107 
    108 /* Set the more significant 32 bits of a double from an int.  */
    109 
    110 #define SET_HIGH_WORD(d,v)          \
    111 do {                \
    112   ieee_double_shape_type sh_u;          \
    113   sh_u.value = (d);           \
    114   sh_u.parts.msw = (v);           \
    115   (d) = sh_u.value;           \
    116 } while (0)
    117 
    118 /* Set the less significant 32 bits of a double from an int.  */
    119 
    120 #define SET_LOW_WORD(d,v)         \
    121 do {                \
    122   ieee_double_shape_type sl_u;          \
    123   sl_u.value = (d);           \
    124   sl_u.parts.lsw = (v);           \
    125   (d) = sl_u.value;           \
    126 } while (0)
    127 
    128 /* A union which permits us to convert between a float and a 32 bit
    129    int.  */
    130 
    131 typedef union
    132 {
    133   float value;
    134   u_int32_t word;
    135 } ieee_float_shape_type;
    136 
    137 /* Get a 32 bit int from a float.  */
    138 
    139 #define GET_FLOAT_WORD(i,d)         \
    140 do {                \
    141   ieee_float_shape_type gf_u;         \
    142   gf_u.value = (d);           \
    143   (i) = gf_u.word;            \
    144 } while (0)
    145 
    146 /* Set a float from a 32 bit int.  */
    147 
    148 #define SET_FLOAT_WORD(d,i)         \
    149 do {                \
    150   ieee_float_shape_type sf_u;         \
    151   sf_u.word = (i);            \
    152   (d) = sf_u.value;           \
    153 } while (0)
    154 
    155 /* ieee style elementary functions */
    156 extern double __ieee754_sqrt (double);
    157 extern double __ieee754_acos (double);
    158 extern double __ieee754_acosh (double);
    159 extern double __ieee754_log (double);
    160 extern double __ieee754_atanh (double);
    161 extern double __ieee754_asin (double);
    162 extern double __ieee754_atan2 (double, double);
    163 extern double __ieee754_exp (double);
    164 extern double __ieee754_cosh (double);
    165 extern double __ieee754_fmod (double, double);
    166 extern double __ieee754_pow (double, double);
    167 extern double __ieee754_lgamma_r (double, int *);
    168 extern double __ieee754_gamma_r (double, int *);
    169 extern double __ieee754_lgamma (double);
    170 extern double __ieee754_gamma (double);
    171 extern double __ieee754_log10 (double);
    172 extern double __ieee754_log2 (double);
    173 extern double __ieee754_sinh (double);
    174 extern double __ieee754_hypot (double, double);
    175 extern double __ieee754_j0 (double);
    176 extern double __ieee754_j1 (double);
    177 extern double __ieee754_y0 (double);
    178 extern double __ieee754_y1 (double);
    179 extern double __ieee754_jn (int, double);
    180 extern double __ieee754_yn (int, double);
    181 extern double __ieee754_remainder (double, double);
    182 extern int    __ieee754_rem_pio2 (double,double*);
    183 extern double __ieee754_scalb (double, double);
    184 
    185 /* fdlibm kernel function */
    186 extern double __kernel_standard (double, double, int);
    187 extern double __kernel_sin (double, double, int);
    188 extern double __kernel_cos (double, double);
    189 extern double __kernel_tan (double, double, int);
    190 extern int    __kernel_rem_pio2 (double*,double*,int,int,int,const int*);
    191 
    192 
    193 ///* ieee style elementary float functions */
    194 //extern float __ieee754_sqrtf __P((float));
    195 //extern float __ieee754_acosf __P((float));
    196 //extern float __ieee754_acoshf __P((float));
    197 //extern float __ieee754_logf __P((float));
    198 //extern float __ieee754_atanhf __P((float));
    199 //extern float __ieee754_asinf __P((float));
    200 //extern float __ieee754_atan2f __P((float,float));
    201 //extern float __ieee754_expf __P((float));
    202 //extern float __ieee754_coshf __P((float));
    203 //extern float __ieee754_fmodf __P((float,float));
    204 //extern float __ieee754_powf __P((float,float));
    205 //extern float __ieee754_lgammaf_r __P((float,int *));
    206 //extern float __ieee754_gammaf_r __P((float,int *));
    207 //extern float __ieee754_lgammaf __P((float));
    208 //extern float __ieee754_gammaf __P((float));
    209 //extern float __ieee754_log10f __P((float));
    210 //extern float __ieee754_log2f __P((float));
    211 //extern float __ieee754_sinhf __P((float));
    212 //extern float __ieee754_hypotf __P((float,float));
    213 //extern float __ieee754_j0f __P((float));
    214 //extern float __ieee754_j1f __P((float));
    215 //extern float __ieee754_y0f __P((float));
    216 //extern float __ieee754_y1f __P((float));
    217 //extern float __ieee754_jnf __P((int,float));
    218 //extern float __ieee754_ynf __P((int,float));
    219 //extern float __ieee754_remainderf __P((float,float));
    220 //extern int   __ieee754_rem_pio2f __P((float,float*));
    221 //extern float __ieee754_scalbf __P((float,float));
    222 
    223 ///* float versions of fdlibm kernel functions */
    224 //extern float __kernel_sinf __P((float,float,int));
    225 //extern float __kernel_cosf __P((float,float));
    226 //extern float __kernel_tanf __P((float,float,int));
    227 //extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
    228 
    229 #endif /* _MATH_PRIVATE_H_ */
    230