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softfloat.h revision 1.1.4.2
      1  1.1.4.2  minoura 
      2  1.1.4.2  minoura /*
      3  1.1.4.2  minoura ===============================================================================
      4  1.1.4.2  minoura 
      5  1.1.4.2  minoura This C header file is part of the SoftFloat IEC/IEEE Floating-point
      6  1.1.4.2  minoura Arithmetic Package, Release 2a.
      7  1.1.4.2  minoura 
      8  1.1.4.2  minoura Written by John R. Hauser.  This work was made possible in part by the
      9  1.1.4.2  minoura International Computer Science Institute, located at Suite 600, 1947 Center
     10  1.1.4.2  minoura Street, Berkeley, California 94704.  Funding was partially provided by the
     11  1.1.4.2  minoura National Science Foundation under grant MIP-9311980.  The original version
     12  1.1.4.2  minoura of this code was written as part of a project to build a fixed-point vector
     13  1.1.4.2  minoura processor in collaboration with the University of California at Berkeley,
     14  1.1.4.2  minoura overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
     15  1.1.4.2  minoura is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
     16  1.1.4.2  minoura arithmetic/SoftFloat.html'.
     17  1.1.4.2  minoura 
     18  1.1.4.2  minoura THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
     19  1.1.4.2  minoura has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
     20  1.1.4.2  minoura TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
     21  1.1.4.2  minoura PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
     22  1.1.4.2  minoura AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
     23  1.1.4.2  minoura 
     24  1.1.4.2  minoura Derivative works are acceptable, even for commercial purposes, so long as
     25  1.1.4.2  minoura (1) they include prominent notice that the work is derivative, and (2) they
     26  1.1.4.2  minoura include prominent notice akin to these four paragraphs for those parts of
     27  1.1.4.2  minoura this code that are retained.
     28  1.1.4.2  minoura 
     29  1.1.4.2  minoura ===============================================================================
     30  1.1.4.2  minoura */
     31  1.1.4.2  minoura 
     32  1.1.4.2  minoura /*
     33  1.1.4.2  minoura -------------------------------------------------------------------------------
     34  1.1.4.2  minoura The macro `FLOATX80' must be defined to enable the extended double-precision
     35  1.1.4.2  minoura floating-point format `floatx80'.  If this macro is not defined, the
     36  1.1.4.2  minoura `floatx80' type will not be defined, and none of the functions that either
     37  1.1.4.2  minoura input or output the `floatx80' type will be defined.  The same applies to
     38  1.1.4.2  minoura the `FLOAT128' macro and the quadruple-precision format `float128'.
     39  1.1.4.2  minoura -------------------------------------------------------------------------------
     40  1.1.4.2  minoura */
     41  1.1.4.2  minoura #define FLOATX80
     42  1.1.4.2  minoura #define FLOAT128
     43  1.1.4.2  minoura 
     44  1.1.4.2  minoura /*
     45  1.1.4.2  minoura -------------------------------------------------------------------------------
     46  1.1.4.2  minoura Software IEC/IEEE floating-point types.
     47  1.1.4.2  minoura -------------------------------------------------------------------------------
     48  1.1.4.2  minoura */
     49  1.1.4.2  minoura typedef !!!bits32 float32;
     50  1.1.4.2  minoura typedef !!!bits64 float64;
     51  1.1.4.2  minoura #ifdef FLOATX80
     52  1.1.4.2  minoura typedef struct {
     53  1.1.4.2  minoura     !!!bits16 high;
     54  1.1.4.2  minoura     !!!bits64 low;
     55  1.1.4.2  minoura } floatx80;
     56  1.1.4.2  minoura #endif
     57  1.1.4.2  minoura #ifdef FLOAT128
     58  1.1.4.2  minoura typedef struct {
     59  1.1.4.2  minoura     !!!bits64 high, low;
     60  1.1.4.2  minoura } float128;
     61  1.1.4.2  minoura #endif
     62  1.1.4.2  minoura 
     63  1.1.4.2  minoura /*
     64  1.1.4.2  minoura -------------------------------------------------------------------------------
     65  1.1.4.2  minoura Software IEC/IEEE floating-point underflow tininess-detection mode.
     66  1.1.4.2  minoura -------------------------------------------------------------------------------
     67  1.1.4.2  minoura */
     68  1.1.4.2  minoura extern !!!int8 float_detect_tininess;
     69  1.1.4.2  minoura enum {
     70  1.1.4.2  minoura     float_tininess_after_rounding  = 0,
     71  1.1.4.2  minoura     float_tininess_before_rounding = 1
     72  1.1.4.2  minoura };
     73  1.1.4.2  minoura 
     74  1.1.4.2  minoura /*
     75  1.1.4.2  minoura -------------------------------------------------------------------------------
     76  1.1.4.2  minoura Software IEC/IEEE floating-point rounding mode.
     77  1.1.4.2  minoura -------------------------------------------------------------------------------
     78  1.1.4.2  minoura */
     79  1.1.4.2  minoura extern !!!int8 float_rounding_mode;
     80  1.1.4.2  minoura enum {
     81  1.1.4.2  minoura     float_round_nearest_even = 0,
     82  1.1.4.2  minoura     float_round_to_zero      = 1,
     83  1.1.4.2  minoura     float_round_down         = 2,
     84  1.1.4.2  minoura     float_round_up           = 3
     85  1.1.4.2  minoura };
     86  1.1.4.2  minoura 
     87  1.1.4.2  minoura /*
     88  1.1.4.2  minoura -------------------------------------------------------------------------------
     89  1.1.4.2  minoura Software IEC/IEEE floating-point exception flags.
     90  1.1.4.2  minoura -------------------------------------------------------------------------------
     91  1.1.4.2  minoura */
     92  1.1.4.2  minoura extern !!!int8 float_exception_flags;
     93  1.1.4.2  minoura enum {
     94  1.1.4.2  minoura     float_flag_inexact   =  1,
     95  1.1.4.2  minoura     float_flag_underflow =  2,
     96  1.1.4.2  minoura     float_flag_overflow  =  4,
     97  1.1.4.2  minoura     float_flag_divbyzero =  8,
     98  1.1.4.2  minoura     float_flag_invalid   = 16
     99  1.1.4.2  minoura };
    100  1.1.4.2  minoura 
    101  1.1.4.2  minoura /*
    102  1.1.4.2  minoura -------------------------------------------------------------------------------
    103  1.1.4.2  minoura Routine to raise any or all of the software IEC/IEEE floating-point
    104  1.1.4.2  minoura exception flags.
    105  1.1.4.2  minoura -------------------------------------------------------------------------------
    106  1.1.4.2  minoura */
    107  1.1.4.2  minoura void float_raise( !!!int8 );
    108  1.1.4.2  minoura 
    109  1.1.4.2  minoura /*
    110  1.1.4.2  minoura -------------------------------------------------------------------------------
    111  1.1.4.2  minoura Software IEC/IEEE integer-to-floating-point conversion routines.
    112  1.1.4.2  minoura -------------------------------------------------------------------------------
    113  1.1.4.2  minoura */
    114  1.1.4.2  minoura float32 int32_to_float32( !!!int32 );
    115  1.1.4.2  minoura float64 int32_to_float64( !!!int32 );
    116  1.1.4.2  minoura #ifdef FLOATX80
    117  1.1.4.2  minoura floatx80 int32_to_floatx80( !!!int32 );
    118  1.1.4.2  minoura #endif
    119  1.1.4.2  minoura #ifdef FLOAT128
    120  1.1.4.2  minoura float128 int32_to_float128( !!!int32 );
    121  1.1.4.2  minoura #endif
    122  1.1.4.2  minoura float32 int64_to_float32( !!!int64 );
    123  1.1.4.2  minoura float64 int64_to_float64( !!!int64 );
    124  1.1.4.2  minoura #ifdef FLOATX80
    125  1.1.4.2  minoura floatx80 int64_to_floatx80( !!!int64 );
    126  1.1.4.2  minoura #endif
    127  1.1.4.2  minoura #ifdef FLOAT128
    128  1.1.4.2  minoura float128 int64_to_float128( !!!int64 );
    129  1.1.4.2  minoura #endif
    130  1.1.4.2  minoura 
    131  1.1.4.2  minoura /*
    132  1.1.4.2  minoura -------------------------------------------------------------------------------
    133  1.1.4.2  minoura Software IEC/IEEE single-precision conversion routines.
    134  1.1.4.2  minoura -------------------------------------------------------------------------------
    135  1.1.4.2  minoura */
    136  1.1.4.2  minoura !!!int32 float32_to_int32( float32 );
    137  1.1.4.2  minoura !!!int32 float32_to_int32_round_to_zero( float32 );
    138  1.1.4.2  minoura !!!int64 float32_to_int64( float32 );
    139  1.1.4.2  minoura !!!int64 float32_to_int64_round_to_zero( float32 );
    140  1.1.4.2  minoura float64 float32_to_float64( float32 );
    141  1.1.4.2  minoura #ifdef FLOATX80
    142  1.1.4.2  minoura floatx80 float32_to_floatx80( float32 );
    143  1.1.4.2  minoura #endif
    144  1.1.4.2  minoura #ifdef FLOAT128
    145  1.1.4.2  minoura float128 float32_to_float128( float32 );
    146  1.1.4.2  minoura #endif
    147  1.1.4.2  minoura 
    148  1.1.4.2  minoura /*
    149  1.1.4.2  minoura -------------------------------------------------------------------------------
    150  1.1.4.2  minoura Software IEC/IEEE single-precision operations.
    151  1.1.4.2  minoura -------------------------------------------------------------------------------
    152  1.1.4.2  minoura */
    153  1.1.4.2  minoura float32 float32_round_to_int( float32 );
    154  1.1.4.2  minoura float32 float32_add( float32, float32 );
    155  1.1.4.2  minoura float32 float32_sub( float32, float32 );
    156  1.1.4.2  minoura float32 float32_mul( float32, float32 );
    157  1.1.4.2  minoura float32 float32_div( float32, float32 );
    158  1.1.4.2  minoura float32 float32_rem( float32, float32 );
    159  1.1.4.2  minoura float32 float32_sqrt( float32 );
    160  1.1.4.2  minoura !!!flag float32_eq( float32, float32 );
    161  1.1.4.2  minoura !!!flag float32_le( float32, float32 );
    162  1.1.4.2  minoura !!!flag float32_lt( float32, float32 );
    163  1.1.4.2  minoura !!!flag float32_eq_signaling( float32, float32 );
    164  1.1.4.2  minoura !!!flag float32_le_quiet( float32, float32 );
    165  1.1.4.2  minoura !!!flag float32_lt_quiet( float32, float32 );
    166  1.1.4.2  minoura !!!flag float32_is_signaling_nan( float32 );
    167  1.1.4.2  minoura 
    168  1.1.4.2  minoura /*
    169  1.1.4.2  minoura -------------------------------------------------------------------------------
    170  1.1.4.2  minoura Software IEC/IEEE double-precision conversion routines.
    171  1.1.4.2  minoura -------------------------------------------------------------------------------
    172  1.1.4.2  minoura */
    173  1.1.4.2  minoura !!!int32 float64_to_int32( float64 );
    174  1.1.4.2  minoura !!!int32 float64_to_int32_round_to_zero( float64 );
    175  1.1.4.2  minoura !!!int64 float64_to_int64( float64 );
    176  1.1.4.2  minoura !!!int64 float64_to_int64_round_to_zero( float64 );
    177  1.1.4.2  minoura float32 float64_to_float32( float64 );
    178  1.1.4.2  minoura #ifdef FLOATX80
    179  1.1.4.2  minoura floatx80 float64_to_floatx80( float64 );
    180  1.1.4.2  minoura #endif
    181  1.1.4.2  minoura #ifdef FLOAT128
    182  1.1.4.2  minoura float128 float64_to_float128( float64 );
    183  1.1.4.2  minoura #endif
    184  1.1.4.2  minoura 
    185  1.1.4.2  minoura /*
    186  1.1.4.2  minoura -------------------------------------------------------------------------------
    187  1.1.4.2  minoura Software IEC/IEEE double-precision operations.
    188  1.1.4.2  minoura -------------------------------------------------------------------------------
    189  1.1.4.2  minoura */
    190  1.1.4.2  minoura float64 float64_round_to_int( float64 );
    191  1.1.4.2  minoura float64 float64_add( float64, float64 );
    192  1.1.4.2  minoura float64 float64_sub( float64, float64 );
    193  1.1.4.2  minoura float64 float64_mul( float64, float64 );
    194  1.1.4.2  minoura float64 float64_div( float64, float64 );
    195  1.1.4.2  minoura float64 float64_rem( float64, float64 );
    196  1.1.4.2  minoura float64 float64_sqrt( float64 );
    197  1.1.4.2  minoura !!!flag float64_eq( float64, float64 );
    198  1.1.4.2  minoura !!!flag float64_le( float64, float64 );
    199  1.1.4.2  minoura !!!flag float64_lt( float64, float64 );
    200  1.1.4.2  minoura !!!flag float64_eq_signaling( float64, float64 );
    201  1.1.4.2  minoura !!!flag float64_le_quiet( float64, float64 );
    202  1.1.4.2  minoura !!!flag float64_lt_quiet( float64, float64 );
    203  1.1.4.2  minoura !!!flag float64_is_signaling_nan( float64 );
    204  1.1.4.2  minoura 
    205  1.1.4.2  minoura #ifdef FLOATX80
    206  1.1.4.2  minoura 
    207  1.1.4.2  minoura /*
    208  1.1.4.2  minoura -------------------------------------------------------------------------------
    209  1.1.4.2  minoura Software IEC/IEEE extended double-precision conversion routines.
    210  1.1.4.2  minoura -------------------------------------------------------------------------------
    211  1.1.4.2  minoura */
    212  1.1.4.2  minoura !!!int32 floatx80_to_int32( floatx80 );
    213  1.1.4.2  minoura !!!int32 floatx80_to_int32_round_to_zero( floatx80 );
    214  1.1.4.2  minoura !!!int64 floatx80_to_int64( floatx80 );
    215  1.1.4.2  minoura !!!int64 floatx80_to_int64_round_to_zero( floatx80 );
    216  1.1.4.2  minoura float32 floatx80_to_float32( floatx80 );
    217  1.1.4.2  minoura float64 floatx80_to_float64( floatx80 );
    218  1.1.4.2  minoura #ifdef FLOAT128
    219  1.1.4.2  minoura float128 floatx80_to_float128( floatx80 );
    220  1.1.4.2  minoura #endif
    221  1.1.4.2  minoura 
    222  1.1.4.2  minoura /*
    223  1.1.4.2  minoura -------------------------------------------------------------------------------
    224  1.1.4.2  minoura Software IEC/IEEE extended double-precision rounding precision.  Valid
    225  1.1.4.2  minoura values are 32, 64, and 80.
    226  1.1.4.2  minoura -------------------------------------------------------------------------------
    227  1.1.4.2  minoura */
    228  1.1.4.2  minoura extern !!!int8 floatx80_rounding_precision;
    229  1.1.4.2  minoura 
    230  1.1.4.2  minoura /*
    231  1.1.4.2  minoura -------------------------------------------------------------------------------
    232  1.1.4.2  minoura Software IEC/IEEE extended double-precision operations.
    233  1.1.4.2  minoura -------------------------------------------------------------------------------
    234  1.1.4.2  minoura */
    235  1.1.4.2  minoura floatx80 floatx80_round_to_int( floatx80 );
    236  1.1.4.2  minoura floatx80 floatx80_add( floatx80, floatx80 );
    237  1.1.4.2  minoura floatx80 floatx80_sub( floatx80, floatx80 );
    238  1.1.4.2  minoura floatx80 floatx80_mul( floatx80, floatx80 );
    239  1.1.4.2  minoura floatx80 floatx80_div( floatx80, floatx80 );
    240  1.1.4.2  minoura floatx80 floatx80_rem( floatx80, floatx80 );
    241  1.1.4.2  minoura floatx80 floatx80_sqrt( floatx80 );
    242  1.1.4.2  minoura !!!flag floatx80_eq( floatx80, floatx80 );
    243  1.1.4.2  minoura !!!flag floatx80_le( floatx80, floatx80 );
    244  1.1.4.2  minoura !!!flag floatx80_lt( floatx80, floatx80 );
    245  1.1.4.2  minoura !!!flag floatx80_eq_signaling( floatx80, floatx80 );
    246  1.1.4.2  minoura !!!flag floatx80_le_quiet( floatx80, floatx80 );
    247  1.1.4.2  minoura !!!flag floatx80_lt_quiet( floatx80, floatx80 );
    248  1.1.4.2  minoura !!!flag floatx80_is_signaling_nan( floatx80 );
    249  1.1.4.2  minoura 
    250  1.1.4.2  minoura #endif
    251  1.1.4.2  minoura 
    252  1.1.4.2  minoura #ifdef FLOAT128
    253  1.1.4.2  minoura 
    254  1.1.4.2  minoura /*
    255  1.1.4.2  minoura -------------------------------------------------------------------------------
    256  1.1.4.2  minoura Software IEC/IEEE quadruple-precision conversion routines.
    257  1.1.4.2  minoura -------------------------------------------------------------------------------
    258  1.1.4.2  minoura */
    259  1.1.4.2  minoura !!!int32 float128_to_int32( float128 );
    260  1.1.4.2  minoura !!!int32 float128_to_int32_round_to_zero( float128 );
    261  1.1.4.2  minoura !!!int64 float128_to_int64( float128 );
    262  1.1.4.2  minoura !!!int64 float128_to_int64_round_to_zero( float128 );
    263  1.1.4.2  minoura float32 float128_to_float32( float128 );
    264  1.1.4.2  minoura float64 float128_to_float64( float128 );
    265  1.1.4.2  minoura #ifdef FLOATX80
    266  1.1.4.2  minoura floatx80 float128_to_floatx80( float128 );
    267  1.1.4.2  minoura #endif
    268  1.1.4.2  minoura 
    269  1.1.4.2  minoura /*
    270  1.1.4.2  minoura -------------------------------------------------------------------------------
    271  1.1.4.2  minoura Software IEC/IEEE quadruple-precision operations.
    272  1.1.4.2  minoura -------------------------------------------------------------------------------
    273  1.1.4.2  minoura */
    274  1.1.4.2  minoura float128 float128_round_to_int( float128 );
    275  1.1.4.2  minoura float128 float128_add( float128, float128 );
    276  1.1.4.2  minoura float128 float128_sub( float128, float128 );
    277  1.1.4.2  minoura float128 float128_mul( float128, float128 );
    278  1.1.4.2  minoura float128 float128_div( float128, float128 );
    279  1.1.4.2  minoura float128 float128_rem( float128, float128 );
    280  1.1.4.2  minoura float128 float128_sqrt( float128 );
    281  1.1.4.2  minoura !!!flag float128_eq( float128, float128 );
    282  1.1.4.2  minoura !!!flag float128_le( float128, float128 );
    283  1.1.4.2  minoura !!!flag float128_lt( float128, float128 );
    284  1.1.4.2  minoura !!!flag float128_eq_signaling( float128, float128 );
    285  1.1.4.2  minoura !!!flag float128_le_quiet( float128, float128 );
    286  1.1.4.2  minoura !!!flag float128_lt_quiet( float128, float128 );
    287  1.1.4.2  minoura !!!flag float128_is_signaling_nan( float128 );
    288  1.1.4.2  minoura 
    289  1.1.4.2  minoura #endif
    290  1.1.4.2  minoura 
    291