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      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  1.1  bjh21 /*
     45  1.1  bjh21 -------------------------------------------------------------------------------
     46  1.1  bjh21 Software IEC/IEEE floating-point types.
     47  1.1  bjh21 -------------------------------------------------------------------------------
     48  1.1  bjh21 */
     49  1.1  bjh21 typedef !!!bits32 float32;
     50  1.1  bjh21 typedef !!!bits64 float64;
     51  1.1  bjh21 #ifdef FLOATX80
     52  1.1  bjh21 typedef struct {
     53  1.1  bjh21     !!!bits16 high;
     54  1.1  bjh21     !!!bits64 low;
     55  1.1  bjh21 } floatx80;
     56  1.1  bjh21 #endif
     57  1.1  bjh21 #ifdef FLOAT128
     58  1.1  bjh21 typedef struct {
     59  1.1  bjh21     !!!bits64 high, low;
     60  1.1  bjh21 } float128;
     61  1.1  bjh21 #endif
     62  1.1  bjh21 
     63  1.1  bjh21 /*
     64  1.1  bjh21 -------------------------------------------------------------------------------
     65  1.1  bjh21 Software IEC/IEEE floating-point underflow tininess-detection mode.
     66  1.1  bjh21 -------------------------------------------------------------------------------
     67  1.1  bjh21 */
     68  1.1  bjh21 extern !!!int8 float_detect_tininess;
     69  1.1  bjh21 enum {
     70  1.1  bjh21     float_tininess_after_rounding  = 0,
     71  1.1  bjh21     float_tininess_before_rounding = 1
     72  1.1  bjh21 };
     73  1.1  bjh21 
     74  1.1  bjh21 /*
     75  1.1  bjh21 -------------------------------------------------------------------------------
     76  1.1  bjh21 Software IEC/IEEE floating-point rounding mode.
     77  1.1  bjh21 -------------------------------------------------------------------------------
     78  1.1  bjh21 */
     79  1.1  bjh21 extern !!!int8 float_rounding_mode;
     80  1.1  bjh21 enum {
     81  1.1  bjh21     float_round_nearest_even = 0,
     82  1.1  bjh21     float_round_to_zero      = 1,
     83  1.1  bjh21     float_round_down         = 2,
     84  1.1  bjh21     float_round_up           = 3
     85  1.1  bjh21 };
     86  1.1  bjh21 
     87  1.1  bjh21 /*
     88  1.1  bjh21 -------------------------------------------------------------------------------
     89  1.1  bjh21 Software IEC/IEEE floating-point exception flags.
     90  1.1  bjh21 -------------------------------------------------------------------------------
     91  1.1  bjh21 */
     92  1.1  bjh21 extern !!!int8 float_exception_flags;
     93  1.1  bjh21 enum {
     94  1.1  bjh21     float_flag_inexact   =  1,
     95  1.1  bjh21     float_flag_underflow =  2,
     96  1.1  bjh21     float_flag_overflow  =  4,
     97  1.1  bjh21     float_flag_divbyzero =  8,
     98  1.1  bjh21     float_flag_invalid   = 16
     99  1.1  bjh21 };
    100  1.1  bjh21 
    101  1.1  bjh21 /*
    102  1.1  bjh21 -------------------------------------------------------------------------------
    103  1.1  bjh21 Routine to raise any or all of the software IEC/IEEE floating-point
    104  1.1  bjh21 exception flags.
    105  1.1  bjh21 -------------------------------------------------------------------------------
    106  1.1  bjh21 */
    107  1.1  bjh21 void float_raise( !!!int8 );
    108  1.1  bjh21 
    109  1.1  bjh21 /*
    110  1.1  bjh21 -------------------------------------------------------------------------------
    111  1.1  bjh21 Software IEC/IEEE integer-to-floating-point conversion routines.
    112  1.1  bjh21 -------------------------------------------------------------------------------
    113  1.1  bjh21 */
    114  1.1  bjh21 float32 int32_to_float32( !!!int32 );
    115  1.1  bjh21 float64 int32_to_float64( !!!int32 );
    116  1.1  bjh21 #ifdef FLOATX80
    117  1.1  bjh21 floatx80 int32_to_floatx80( !!!int32 );
    118  1.1  bjh21 #endif
    119  1.1  bjh21 #ifdef FLOAT128
    120  1.1  bjh21 float128 int32_to_float128( !!!int32 );
    121  1.1  bjh21 #endif
    122  1.1  bjh21 float32 int64_to_float32( !!!int64 );
    123  1.1  bjh21 float64 int64_to_float64( !!!int64 );
    124  1.1  bjh21 #ifdef FLOATX80
    125  1.1  bjh21 floatx80 int64_to_floatx80( !!!int64 );
    126  1.1  bjh21 #endif
    127  1.1  bjh21 #ifdef FLOAT128
    128  1.1  bjh21 float128 int64_to_float128( !!!int64 );
    129  1.1  bjh21 #endif
    130  1.1  bjh21 
    131  1.1  bjh21 /*
    132  1.1  bjh21 -------------------------------------------------------------------------------
    133  1.1  bjh21 Software IEC/IEEE single-precision conversion routines.
    134  1.1  bjh21 -------------------------------------------------------------------------------
    135  1.1  bjh21 */
    136  1.1  bjh21 !!!int32 float32_to_int32( float32 );
    137  1.1  bjh21 !!!int32 float32_to_int32_round_to_zero( float32 );
    138  1.1  bjh21 !!!int64 float32_to_int64( float32 );
    139  1.1  bjh21 !!!int64 float32_to_int64_round_to_zero( float32 );
    140  1.1  bjh21 float64 float32_to_float64( float32 );
    141  1.1  bjh21 #ifdef FLOATX80
    142  1.1  bjh21 floatx80 float32_to_floatx80( float32 );
    143  1.1  bjh21 #endif
    144  1.1  bjh21 #ifdef FLOAT128
    145  1.1  bjh21 float128 float32_to_float128( float32 );
    146  1.1  bjh21 #endif
    147  1.1  bjh21 
    148  1.1  bjh21 /*
    149  1.1  bjh21 -------------------------------------------------------------------------------
    150  1.1  bjh21 Software IEC/IEEE single-precision operations.
    151  1.1  bjh21 -------------------------------------------------------------------------------
    152  1.1  bjh21 */
    153  1.1  bjh21 float32 float32_round_to_int( float32 );
    154  1.1  bjh21 float32 float32_add( float32, float32 );
    155  1.1  bjh21 float32 float32_sub( float32, float32 );
    156  1.1  bjh21 float32 float32_mul( float32, float32 );
    157  1.1  bjh21 float32 float32_div( float32, float32 );
    158  1.1  bjh21 float32 float32_rem( float32, float32 );
    159  1.1  bjh21 float32 float32_sqrt( float32 );
    160  1.1  bjh21 !!!flag float32_eq( float32, float32 );
    161  1.1  bjh21 !!!flag float32_le( float32, float32 );
    162  1.1  bjh21 !!!flag float32_lt( float32, float32 );
    163  1.1  bjh21 !!!flag float32_eq_signaling( float32, float32 );
    164  1.1  bjh21 !!!flag float32_le_quiet( float32, float32 );
    165  1.1  bjh21 !!!flag float32_lt_quiet( float32, float32 );
    166  1.1  bjh21 !!!flag float32_is_signaling_nan( float32 );
    167  1.1  bjh21 
    168  1.1  bjh21 /*
    169  1.1  bjh21 -------------------------------------------------------------------------------
    170  1.1  bjh21 Software IEC/IEEE double-precision conversion routines.
    171  1.1  bjh21 -------------------------------------------------------------------------------
    172  1.1  bjh21 */
    173  1.1  bjh21 !!!int32 float64_to_int32( float64 );
    174  1.1  bjh21 !!!int32 float64_to_int32_round_to_zero( float64 );
    175  1.1  bjh21 !!!int64 float64_to_int64( float64 );
    176  1.1  bjh21 !!!int64 float64_to_int64_round_to_zero( float64 );
    177  1.1  bjh21 float32 float64_to_float32( float64 );
    178  1.1  bjh21 #ifdef FLOATX80
    179  1.1  bjh21 floatx80 float64_to_floatx80( float64 );
    180  1.1  bjh21 #endif
    181  1.1  bjh21 #ifdef FLOAT128
    182  1.1  bjh21 float128 float64_to_float128( float64 );
    183  1.1  bjh21 #endif
    184  1.1  bjh21 
    185  1.1  bjh21 /*
    186  1.1  bjh21 -------------------------------------------------------------------------------
    187  1.1  bjh21 Software IEC/IEEE double-precision operations.
    188  1.1  bjh21 -------------------------------------------------------------------------------
    189  1.1  bjh21 */
    190  1.1  bjh21 float64 float64_round_to_int( float64 );
    191  1.1  bjh21 float64 float64_add( float64, float64 );
    192  1.1  bjh21 float64 float64_sub( float64, float64 );
    193  1.1  bjh21 float64 float64_mul( float64, float64 );
    194  1.1  bjh21 float64 float64_div( float64, float64 );
    195  1.1  bjh21 float64 float64_rem( float64, float64 );
    196  1.1  bjh21 float64 float64_sqrt( float64 );
    197  1.1  bjh21 !!!flag float64_eq( float64, float64 );
    198  1.1  bjh21 !!!flag float64_le( float64, float64 );
    199  1.1  bjh21 !!!flag float64_lt( float64, float64 );
    200  1.1  bjh21 !!!flag float64_eq_signaling( float64, float64 );
    201  1.1  bjh21 !!!flag float64_le_quiet( float64, float64 );
    202  1.1  bjh21 !!!flag float64_lt_quiet( float64, float64 );
    203  1.1  bjh21 !!!flag float64_is_signaling_nan( float64 );
    204  1.1  bjh21 
    205  1.1  bjh21 #ifdef FLOATX80
    206  1.1  bjh21 
    207  1.1  bjh21 /*
    208  1.1  bjh21 -------------------------------------------------------------------------------
    209  1.1  bjh21 Software IEC/IEEE extended double-precision conversion routines.
    210  1.1  bjh21 -------------------------------------------------------------------------------
    211  1.1  bjh21 */
    212  1.1  bjh21 !!!int32 floatx80_to_int32( floatx80 );
    213  1.1  bjh21 !!!int32 floatx80_to_int32_round_to_zero( floatx80 );
    214  1.1  bjh21 !!!int64 floatx80_to_int64( floatx80 );
    215  1.1  bjh21 !!!int64 floatx80_to_int64_round_to_zero( floatx80 );
    216  1.1  bjh21 float32 floatx80_to_float32( floatx80 );
    217  1.1  bjh21 float64 floatx80_to_float64( floatx80 );
    218  1.1  bjh21 #ifdef FLOAT128
    219  1.1  bjh21 float128 floatx80_to_float128( floatx80 );
    220  1.1  bjh21 #endif
    221  1.1  bjh21 
    222  1.1  bjh21 /*
    223  1.1  bjh21 -------------------------------------------------------------------------------
    224  1.1  bjh21 Software IEC/IEEE extended double-precision rounding precision.  Valid
    225  1.1  bjh21 values are 32, 64, and 80.
    226  1.1  bjh21 -------------------------------------------------------------------------------
    227  1.1  bjh21 */
    228  1.1  bjh21 extern !!!int8 floatx80_rounding_precision;
    229  1.1  bjh21 
    230  1.1  bjh21 /*
    231  1.1  bjh21 -------------------------------------------------------------------------------
    232  1.1  bjh21 Software IEC/IEEE extended double-precision operations.
    233  1.1  bjh21 -------------------------------------------------------------------------------
    234  1.1  bjh21 */
    235  1.1  bjh21 floatx80 floatx80_round_to_int( floatx80 );
    236  1.1  bjh21 floatx80 floatx80_add( floatx80, floatx80 );
    237  1.1  bjh21 floatx80 floatx80_sub( floatx80, floatx80 );
    238  1.1  bjh21 floatx80 floatx80_mul( floatx80, floatx80 );
    239  1.1  bjh21 floatx80 floatx80_div( floatx80, floatx80 );
    240  1.1  bjh21 floatx80 floatx80_rem( floatx80, floatx80 );
    241  1.1  bjh21 floatx80 floatx80_sqrt( floatx80 );
    242  1.1  bjh21 !!!flag floatx80_eq( floatx80, floatx80 );
    243  1.1  bjh21 !!!flag floatx80_le( floatx80, floatx80 );
    244  1.1  bjh21 !!!flag floatx80_lt( floatx80, floatx80 );
    245  1.1  bjh21 !!!flag floatx80_eq_signaling( floatx80, floatx80 );
    246  1.1  bjh21 !!!flag floatx80_le_quiet( floatx80, floatx80 );
    247  1.1  bjh21 !!!flag floatx80_lt_quiet( floatx80, floatx80 );
    248  1.1  bjh21 !!!flag floatx80_is_signaling_nan( floatx80 );
    249  1.1  bjh21 
    250  1.1  bjh21 #endif
    251  1.1  bjh21 
    252  1.1  bjh21 #ifdef FLOAT128
    253  1.1  bjh21 
    254  1.1  bjh21 /*
    255  1.1  bjh21 -------------------------------------------------------------------------------
    256  1.1  bjh21 Software IEC/IEEE quadruple-precision conversion routines.
    257  1.1  bjh21 -------------------------------------------------------------------------------
    258  1.1  bjh21 */
    259  1.1  bjh21 !!!int32 float128_to_int32( float128 );
    260  1.1  bjh21 !!!int32 float128_to_int32_round_to_zero( float128 );
    261  1.1  bjh21 !!!int64 float128_to_int64( float128 );
    262  1.1  bjh21 !!!int64 float128_to_int64_round_to_zero( float128 );
    263  1.1  bjh21 float32 float128_to_float32( float128 );
    264  1.1  bjh21 float64 float128_to_float64( float128 );
    265  1.1  bjh21 #ifdef FLOATX80
    266  1.1  bjh21 floatx80 float128_to_floatx80( float128 );
    267  1.1  bjh21 #endif
    268  1.1  bjh21 
    269  1.1  bjh21 /*
    270  1.1  bjh21 -------------------------------------------------------------------------------
    271  1.1  bjh21 Software IEC/IEEE quadruple-precision operations.
    272  1.1  bjh21 -------------------------------------------------------------------------------
    273  1.1  bjh21 */
    274  1.1  bjh21 float128 float128_round_to_int( float128 );
    275  1.1  bjh21 float128 float128_add( float128, float128 );
    276  1.1  bjh21 float128 float128_sub( float128, float128 );
    277  1.1  bjh21 float128 float128_mul( float128, float128 );
    278  1.1  bjh21 float128 float128_div( float128, float128 );
    279  1.1  bjh21 float128 float128_rem( float128, float128 );
    280  1.1  bjh21 float128 float128_sqrt( float128 );
    281  1.1  bjh21 !!!flag float128_eq( float128, float128 );
    282  1.1  bjh21 !!!flag float128_le( float128, float128 );
    283  1.1  bjh21 !!!flag float128_lt( float128, float128 );
    284  1.1  bjh21 !!!flag float128_eq_signaling( float128, float128 );
    285  1.1  bjh21 !!!flag float128_le_quiet( float128, float128 );
    286  1.1  bjh21 !!!flag float128_lt_quiet( float128, float128 );
    287  1.1  bjh21 !!!flag float128_is_signaling_nan( float128 );
    288  1.1  bjh21 
    289  1.1  bjh21 #endif
    290  1.1  bjh21 
    291