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softfloat.h revision 1.4
      1  1.1  bjh21 
      2  1.1  bjh21 /*
      3  1.1  bjh21 ===============================================================================
      4  1.1  bjh21 
      5  1.1  bjh21 This C header file is part of the SoftFloat IEC/IEEE Floating-point
      6  1.1  bjh21 Arithmetic Package, Release 2a.
      7  1.1  bjh21 
      8  1.1  bjh21 Written by John R. Hauser.  This work was made possible in part by the
      9  1.1  bjh21 International Computer Science Institute, located at Suite 600, 1947 Center
     10  1.1  bjh21 Street, Berkeley, California 94704.  Funding was partially provided by the
     11  1.1  bjh21 National Science Foundation under grant MIP-9311980.  The original version
     12  1.1  bjh21 of this code was written as part of a project to build a fixed-point vector
     13  1.1  bjh21 processor in collaboration with the University of California at Berkeley,
     14  1.1  bjh21 overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
     15  1.1  bjh21 is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
     16  1.1  bjh21 arithmetic/SoftFloat.html'.
     17  1.1  bjh21 
     18  1.1  bjh21 THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
     19  1.1  bjh21 has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
     20  1.1  bjh21 TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
     21  1.1  bjh21 PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
     22  1.1  bjh21 AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
     23  1.1  bjh21 
     24  1.1  bjh21 Derivative works are acceptable, even for commercial purposes, so long as
     25  1.1  bjh21 (1) they include prominent notice that the work is derivative, and (2) they
     26  1.1  bjh21 include prominent notice akin to these four paragraphs for those parts of
     27  1.1  bjh21 this code that are retained.
     28  1.1  bjh21 
     29  1.1  bjh21 ===============================================================================
     30  1.1  bjh21 */
     31  1.1  bjh21 
     32  1.1  bjh21 /*
     33  1.1  bjh21 -------------------------------------------------------------------------------
     34  1.1  bjh21 The macro `FLOATX80' must be defined to enable the extended double-precision
     35  1.1  bjh21 floating-point format `floatx80'.  If this macro is not defined, the
     36  1.1  bjh21 `floatx80' type will not be defined, and none of the functions that either
     37  1.1  bjh21 input or output the `floatx80' type will be defined.  The same applies to
     38  1.1  bjh21 the `FLOAT128' macro and the quadruple-precision format `float128'.
     39  1.1  bjh21 -------------------------------------------------------------------------------
     40  1.1  bjh21 */
     41  1.1  bjh21 /* #define FLOATX80 */
     42  1.1  bjh21 /* #define FLOAT128 */
     43  1.1  bjh21 
     44  1.4  bjh21 #include <machine/ieeefp.h>
     45  1.4  bjh21 
     46  1.1  bjh21 /*
     47  1.1  bjh21 -------------------------------------------------------------------------------
     48  1.1  bjh21 Software IEC/IEEE floating-point types.
     49  1.1  bjh21 -------------------------------------------------------------------------------
     50  1.1  bjh21 */
     51  1.1  bjh21 typedef unsigned int float32;
     52  1.1  bjh21 typedef unsigned long long float64;
     53  1.1  bjh21 #ifdef FLOATX80
     54  1.1  bjh21 typedef struct {
     55  1.1  bjh21     unsigned short high;
     56  1.1  bjh21     unsigned long long low;
     57  1.1  bjh21 } floatx80;
     58  1.1  bjh21 #endif
     59  1.1  bjh21 #ifdef FLOAT128
     60  1.1  bjh21 typedef struct {
     61  1.1  bjh21     unsigned long long high, low;
     62  1.1  bjh21 } float128;
     63  1.1  bjh21 #endif
     64  1.1  bjh21 
     65  1.1  bjh21 /*
     66  1.1  bjh21 -------------------------------------------------------------------------------
     67  1.1  bjh21 Software IEC/IEEE floating-point underflow tininess-detection mode.
     68  1.1  bjh21 -------------------------------------------------------------------------------
     69  1.1  bjh21 */
     70  1.1  bjh21 extern int float_detect_tininess;
     71  1.1  bjh21 enum {
     72  1.1  bjh21     float_tininess_after_rounding  = 0,
     73  1.1  bjh21     float_tininess_before_rounding = 1
     74  1.1  bjh21 };
     75  1.1  bjh21 
     76  1.1  bjh21 /*
     77  1.1  bjh21 -------------------------------------------------------------------------------
     78  1.1  bjh21 Software IEC/IEEE floating-point rounding mode.
     79  1.1  bjh21 -------------------------------------------------------------------------------
     80  1.1  bjh21 */
     81  1.1  bjh21 extern int float_rounding_mode;
     82  1.1  bjh21 enum {
     83  1.4  bjh21     float_round_nearest_even = FP_RN,
     84  1.4  bjh21     float_round_to_zero      = FP_RZ,
     85  1.4  bjh21     float_round_down         = FP_RM,
     86  1.4  bjh21     float_round_up           = FP_RP
     87  1.1  bjh21 };
     88  1.1  bjh21 
     89  1.1  bjh21 /*
     90  1.1  bjh21 -------------------------------------------------------------------------------
     91  1.1  bjh21 Software IEC/IEEE floating-point exception flags.
     92  1.1  bjh21 -------------------------------------------------------------------------------
     93  1.1  bjh21 */
     94  1.1  bjh21 extern int float_exception_flags;
     95  1.1  bjh21 enum {
     96  1.4  bjh21     float_flag_inexact   = FP_X_IMP,
     97  1.4  bjh21     float_flag_underflow = FP_X_UFL,
     98  1.4  bjh21     float_flag_overflow  = FP_X_OFL,
     99  1.4  bjh21     float_flag_divbyzero = FP_X_DZ,
    100  1.4  bjh21     float_flag_invalid   = FP_X_INV
    101  1.1  bjh21 };
    102  1.1  bjh21 
    103  1.1  bjh21 /*
    104  1.1  bjh21 -------------------------------------------------------------------------------
    105  1.1  bjh21 Routine to raise any or all of the software IEC/IEEE floating-point
    106  1.1  bjh21 exception flags.
    107  1.1  bjh21 -------------------------------------------------------------------------------
    108  1.1  bjh21 */
    109  1.1  bjh21 void float_raise( int );
    110  1.1  bjh21 
    111  1.1  bjh21 /*
    112  1.1  bjh21 -------------------------------------------------------------------------------
    113  1.1  bjh21 Software IEC/IEEE integer-to-floating-point conversion routines.
    114  1.1  bjh21 -------------------------------------------------------------------------------
    115  1.1  bjh21 */
    116  1.1  bjh21 float32 int32_to_float32( int );
    117  1.1  bjh21 float64 int32_to_float64( int );
    118  1.1  bjh21 #ifdef FLOATX80
    119  1.1  bjh21 floatx80 int32_to_floatx80( int );
    120  1.1  bjh21 #endif
    121  1.1  bjh21 #ifdef FLOAT128
    122  1.1  bjh21 float128 int32_to_float128( int );
    123  1.1  bjh21 #endif
    124  1.2  bjh21 #ifndef SOFTFLOAT_FOR_GCC /* __floatdi?f is in libgcc2.c */
    125  1.1  bjh21 float32 int64_to_float32( long long );
    126  1.1  bjh21 float64 int64_to_float64( long long );
    127  1.1  bjh21 #ifdef FLOATX80
    128  1.1  bjh21 floatx80 int64_to_floatx80( long long );
    129  1.1  bjh21 #endif
    130  1.1  bjh21 #ifdef FLOAT128
    131  1.1  bjh21 float128 int64_to_float128( long long );
    132  1.1  bjh21 #endif
    133  1.2  bjh21 #endif
    134  1.1  bjh21 
    135  1.1  bjh21 /*
    136  1.1  bjh21 -------------------------------------------------------------------------------
    137  1.1  bjh21 Software IEC/IEEE single-precision conversion routines.
    138  1.1  bjh21 -------------------------------------------------------------------------------
    139  1.1  bjh21 */
    140  1.1  bjh21 int float32_to_int32( float32 );
    141  1.1  bjh21 int float32_to_int32_round_to_zero( float32 );
    142  1.3  bjh21 #if defined(SOFTFLOAT_FOR_GCC) && defined(SOFTFLOAT_NEED_FIXUNS)
    143  1.3  bjh21 unsigned int float32_to_uint32_round_to_zero( float32 );
    144  1.3  bjh21 #endif
    145  1.2  bjh21 #ifndef SOFTFLOAT_FOR_GCC /* __fix?fdi provided by libgcc2.c */
    146  1.1  bjh21 long long float32_to_int64( float32 );
    147  1.1  bjh21 long long float32_to_int64_round_to_zero( float32 );
    148  1.2  bjh21 #endif
    149  1.1  bjh21 float64 float32_to_float64( float32 );
    150  1.1  bjh21 #ifdef FLOATX80
    151  1.1  bjh21 floatx80 float32_to_floatx80( float32 );
    152  1.1  bjh21 #endif
    153  1.1  bjh21 #ifdef FLOAT128
    154  1.1  bjh21 float128 float32_to_float128( float32 );
    155  1.1  bjh21 #endif
    156  1.1  bjh21 
    157  1.1  bjh21 /*
    158  1.1  bjh21 -------------------------------------------------------------------------------
    159  1.1  bjh21 Software IEC/IEEE single-precision operations.
    160  1.1  bjh21 -------------------------------------------------------------------------------
    161  1.1  bjh21 */
    162  1.1  bjh21 float32 float32_round_to_int( float32 );
    163  1.1  bjh21 float32 float32_add( float32, float32 );
    164  1.1  bjh21 float32 float32_sub( float32, float32 );
    165  1.1  bjh21 float32 float32_mul( float32, float32 );
    166  1.1  bjh21 float32 float32_div( float32, float32 );
    167  1.1  bjh21 float32 float32_rem( float32, float32 );
    168  1.1  bjh21 float32 float32_sqrt( float32 );
    169  1.1  bjh21 int float32_eq( float32, float32 );
    170  1.1  bjh21 int float32_le( float32, float32 );
    171  1.1  bjh21 int float32_lt( float32, float32 );
    172  1.1  bjh21 int float32_eq_signaling( float32, float32 );
    173  1.1  bjh21 int float32_le_quiet( float32, float32 );
    174  1.1  bjh21 int float32_lt_quiet( float32, float32 );
    175  1.1  bjh21 #ifndef SOFTFLOAT_FOR_GCC
    176  1.1  bjh21 int float32_is_signaling_nan( float32 );
    177  1.1  bjh21 #endif
    178  1.1  bjh21 
    179  1.1  bjh21 /*
    180  1.1  bjh21 -------------------------------------------------------------------------------
    181  1.1  bjh21 Software IEC/IEEE double-precision conversion routines.
    182  1.1  bjh21 -------------------------------------------------------------------------------
    183  1.1  bjh21 */
    184  1.1  bjh21 int float64_to_int32( float64 );
    185  1.1  bjh21 int float64_to_int32_round_to_zero( float64 );
    186  1.3  bjh21 #if defined(SOFTFLOAT_FOR_GCC) && defined(SOFTFLOAT_NEED_FIXUNS)
    187  1.3  bjh21 unsigned int float64_to_uint32_round_to_zero( float64 );
    188  1.3  bjh21 #endif
    189  1.2  bjh21 #ifndef SOFTFLOAT_FOR_GCC /* __fix?fdi provided by libgcc2.c */
    190  1.1  bjh21 long long float64_to_int64( float64 );
    191  1.1  bjh21 long long float64_to_int64_round_to_zero( float64 );
    192  1.2  bjh21 #endif
    193  1.1  bjh21 float32 float64_to_float32( float64 );
    194  1.1  bjh21 #ifdef FLOATX80
    195  1.1  bjh21 floatx80 float64_to_floatx80( float64 );
    196  1.1  bjh21 #endif
    197  1.1  bjh21 #ifdef FLOAT128
    198  1.1  bjh21 float128 float64_to_float128( float64 );
    199  1.1  bjh21 #endif
    200  1.1  bjh21 
    201  1.1  bjh21 /*
    202  1.1  bjh21 -------------------------------------------------------------------------------
    203  1.1  bjh21 Software IEC/IEEE double-precision operations.
    204  1.1  bjh21 -------------------------------------------------------------------------------
    205  1.1  bjh21 */
    206  1.1  bjh21 float64 float64_round_to_int( float64 );
    207  1.1  bjh21 float64 float64_add( float64, float64 );
    208  1.1  bjh21 float64 float64_sub( float64, float64 );
    209  1.1  bjh21 float64 float64_mul( float64, float64 );
    210  1.1  bjh21 float64 float64_div( float64, float64 );
    211  1.1  bjh21 float64 float64_rem( float64, float64 );
    212  1.1  bjh21 float64 float64_sqrt( float64 );
    213  1.1  bjh21 int float64_eq( float64, float64 );
    214  1.1  bjh21 int float64_le( float64, float64 );
    215  1.1  bjh21 int float64_lt( float64, float64 );
    216  1.1  bjh21 int float64_eq_signaling( float64, float64 );
    217  1.1  bjh21 int float64_le_quiet( float64, float64 );
    218  1.1  bjh21 int float64_lt_quiet( float64, float64 );
    219  1.1  bjh21 #ifndef SOFTFLOAT_FOR_GCC
    220  1.1  bjh21 int float64_is_signaling_nan( float64 );
    221  1.1  bjh21 #endif
    222  1.1  bjh21 
    223  1.1  bjh21 #ifdef FLOATX80
    224  1.1  bjh21 
    225  1.1  bjh21 /*
    226  1.1  bjh21 -------------------------------------------------------------------------------
    227  1.1  bjh21 Software IEC/IEEE extended double-precision conversion routines.
    228  1.1  bjh21 -------------------------------------------------------------------------------
    229  1.1  bjh21 */
    230  1.1  bjh21 int floatx80_to_int32( floatx80 );
    231  1.1  bjh21 int floatx80_to_int32_round_to_zero( floatx80 );
    232  1.1  bjh21 long long floatx80_to_int64( floatx80 );
    233  1.1  bjh21 long long floatx80_to_int64_round_to_zero( floatx80 );
    234  1.1  bjh21 float32 floatx80_to_float32( floatx80 );
    235  1.1  bjh21 float64 floatx80_to_float64( floatx80 );
    236  1.1  bjh21 #ifdef FLOAT128
    237  1.1  bjh21 float128 floatx80_to_float128( floatx80 );
    238  1.1  bjh21 #endif
    239  1.1  bjh21 
    240  1.1  bjh21 /*
    241  1.1  bjh21 -------------------------------------------------------------------------------
    242  1.1  bjh21 Software IEC/IEEE extended double-precision rounding precision.  Valid
    243  1.1  bjh21 values are 32, 64, and 80.
    244  1.1  bjh21 -------------------------------------------------------------------------------
    245  1.1  bjh21 */
    246  1.1  bjh21 extern int floatx80_rounding_precision;
    247  1.1  bjh21 
    248  1.1  bjh21 /*
    249  1.1  bjh21 -------------------------------------------------------------------------------
    250  1.1  bjh21 Software IEC/IEEE extended double-precision operations.
    251  1.1  bjh21 -------------------------------------------------------------------------------
    252  1.1  bjh21 */
    253  1.1  bjh21 floatx80 floatx80_round_to_int( floatx80 );
    254  1.1  bjh21 floatx80 floatx80_add( floatx80, floatx80 );
    255  1.1  bjh21 floatx80 floatx80_sub( floatx80, floatx80 );
    256  1.1  bjh21 floatx80 floatx80_mul( floatx80, floatx80 );
    257  1.1  bjh21 floatx80 floatx80_div( floatx80, floatx80 );
    258  1.1  bjh21 floatx80 floatx80_rem( floatx80, floatx80 );
    259  1.1  bjh21 floatx80 floatx80_sqrt( floatx80 );
    260  1.1  bjh21 int floatx80_eq( floatx80, floatx80 );
    261  1.1  bjh21 int floatx80_le( floatx80, floatx80 );
    262  1.1  bjh21 int floatx80_lt( floatx80, floatx80 );
    263  1.1  bjh21 int floatx80_eq_signaling( floatx80, floatx80 );
    264  1.1  bjh21 int floatx80_le_quiet( floatx80, floatx80 );
    265  1.1  bjh21 int floatx80_lt_quiet( floatx80, floatx80 );
    266  1.1  bjh21 int floatx80_is_signaling_nan( floatx80 );
    267  1.1  bjh21 
    268  1.1  bjh21 #endif
    269  1.1  bjh21 
    270  1.1  bjh21 #ifdef FLOAT128
    271  1.1  bjh21 
    272  1.1  bjh21 /*
    273  1.1  bjh21 -------------------------------------------------------------------------------
    274  1.1  bjh21 Software IEC/IEEE quadruple-precision conversion routines.
    275  1.1  bjh21 -------------------------------------------------------------------------------
    276  1.1  bjh21 */
    277  1.1  bjh21 int float128_to_int32( float128 );
    278  1.1  bjh21 int float128_to_int32_round_to_zero( float128 );
    279  1.1  bjh21 long long float128_to_int64( float128 );
    280  1.1  bjh21 long long float128_to_int64_round_to_zero( float128 );
    281  1.1  bjh21 float32 float128_to_float32( float128 );
    282  1.1  bjh21 float64 float128_to_float64( float128 );
    283  1.1  bjh21 #ifdef FLOATX80
    284  1.1  bjh21 floatx80 float128_to_floatx80( float128 );
    285  1.1  bjh21 #endif
    286  1.1  bjh21 
    287  1.1  bjh21 /*
    288  1.1  bjh21 -------------------------------------------------------------------------------
    289  1.1  bjh21 Software IEC/IEEE quadruple-precision operations.
    290  1.1  bjh21 -------------------------------------------------------------------------------
    291  1.1  bjh21 */
    292  1.1  bjh21 float128 float128_round_to_int( float128 );
    293  1.1  bjh21 float128 float128_add( float128, float128 );
    294  1.1  bjh21 float128 float128_sub( float128, float128 );
    295  1.1  bjh21 float128 float128_mul( float128, float128 );
    296  1.1  bjh21 float128 float128_div( float128, float128 );
    297  1.1  bjh21 float128 float128_rem( float128, float128 );
    298  1.1  bjh21 float128 float128_sqrt( float128 );
    299  1.1  bjh21 int float128_eq( float128, float128 );
    300  1.1  bjh21 int float128_le( float128, float128 );
    301  1.1  bjh21 int float128_lt( float128, float128 );
    302  1.1  bjh21 int float128_eq_signaling( float128, float128 );
    303  1.1  bjh21 int float128_le_quiet( float128, float128 );
    304  1.1  bjh21 int float128_lt_quiet( float128, float128 );
    305  1.1  bjh21 int float128_is_signaling_nan( float128 );
    306  1.1  bjh21 
    307  1.1  bjh21 #endif
    308  1.1  bjh21 
    309