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softfloat.h revision 1.1
      1  1.1  jmc 
      2  1.1  jmc /*
      3  1.1  jmc ===============================================================================
      4  1.1  jmc 
      5  1.1  jmc This C header file is part of the SoftFloat IEC/IEEE Floating-point
      6  1.1  jmc Arithmetic Package, Release 2a.
      7  1.1  jmc 
      8  1.1  jmc Written by John R. Hauser.  This work was made possible in part by the
      9  1.1  jmc International Computer Science Institute, located at Suite 600, 1947 Center
     10  1.1  jmc Street, Berkeley, California 94704.  Funding was partially provided by the
     11  1.1  jmc National Science Foundation under grant MIP-9311980.  The original version
     12  1.1  jmc of this code was written as part of a project to build a fixed-point vector
     13  1.1  jmc processor in collaboration with the University of California at Berkeley,
     14  1.1  jmc overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
     15  1.1  jmc is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
     16  1.1  jmc arithmetic/SoftFloat.html'.
     17  1.1  jmc 
     18  1.1  jmc THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
     19  1.1  jmc has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
     20  1.1  jmc TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
     21  1.1  jmc PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
     22  1.1  jmc AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
     23  1.1  jmc 
     24  1.1  jmc Derivative works are acceptable, even for commercial purposes, so long as
     25  1.1  jmc (1) they include prominent notice that the work is derivative, and (2) they
     26  1.1  jmc include prominent notice akin to these four paragraphs for those parts of
     27  1.1  jmc this code that are retained.
     28  1.1  jmc 
     29  1.1  jmc ===============================================================================
     30  1.1  jmc */
     31  1.1  jmc 
     32  1.1  jmc /*
     33  1.1  jmc -------------------------------------------------------------------------------
     34  1.1  jmc The macro `FLOATX80' must be defined to enable the extended double-precision
     35  1.1  jmc floating-point format `floatx80'.  If this macro is not defined, the
     36  1.1  jmc `floatx80' type will not be defined, and none of the functions that either
     37  1.1  jmc input or output the `floatx80' type will be defined.  The same applies to
     38  1.1  jmc the `FLOAT128' macro and the quadruple-precision format `float128'.
     39  1.1  jmc -------------------------------------------------------------------------------
     40  1.1  jmc */
     41  1.1  jmc /* #define FLOATX80 */
     42  1.1  jmc #define FLOAT128
     43  1.1  jmc 
     44  1.1  jmc #include <machine/ieeefp.h>
     45  1.1  jmc 
     46  1.1  jmc /*
     47  1.1  jmc -------------------------------------------------------------------------------
     48  1.1  jmc Software IEC/IEEE floating-point types.
     49  1.1  jmc -------------------------------------------------------------------------------
     50  1.1  jmc */
     51  1.1  jmc typedef unsigned int float32;
     52  1.1  jmc typedef unsigned long long float64;
     53  1.1  jmc #ifdef FLOATX80
     54  1.1  jmc typedef struct {
     55  1.1  jmc     unsigned short high;
     56  1.1  jmc     unsigned long long low;
     57  1.1  jmc } floatx80;
     58  1.1  jmc #endif
     59  1.1  jmc #ifdef FLOAT128
     60  1.1  jmc typedef struct {
     61  1.1  jmc     unsigned long long high, low;
     62  1.1  jmc } float128;
     63  1.1  jmc #endif
     64  1.1  jmc 
     65  1.1  jmc /*
     66  1.1  jmc -------------------------------------------------------------------------------
     67  1.1  jmc Software IEC/IEEE floating-point underflow tininess-detection mode.
     68  1.1  jmc -------------------------------------------------------------------------------
     69  1.1  jmc */
     70  1.1  jmc extern int8 float_detect_tininess;
     71  1.1  jmc enum {
     72  1.1  jmc     float_tininess_after_rounding  = 0,
     73  1.1  jmc     float_tininess_before_rounding = 1
     74  1.1  jmc };
     75  1.1  jmc 
     76  1.1  jmc /*
     77  1.1  jmc -------------------------------------------------------------------------------
     78  1.1  jmc Software IEC/IEEE floating-point rounding mode.
     79  1.1  jmc -------------------------------------------------------------------------------
     80  1.1  jmc */
     81  1.1  jmc extern int8 float_rounding_mode;
     82  1.1  jmc enum {
     83  1.1  jmc     float_round_nearest_even = FP_RN,
     84  1.1  jmc     float_round_to_zero      = FP_RZ,
     85  1.1  jmc     float_round_down         = FP_RM,
     86  1.1  jmc     float_round_up           = FP_RP
     87  1.1  jmc };
     88  1.1  jmc 
     89  1.1  jmc /*
     90  1.1  jmc -------------------------------------------------------------------------------
     91  1.1  jmc Software IEC/IEEE floating-point exception flags.
     92  1.1  jmc -------------------------------------------------------------------------------
     93  1.1  jmc */
     94  1.1  jmc extern int8 float_exception_flags;
     95  1.1  jmc enum {
     96  1.1  jmc     float_flag_inexact   = FP_X_IMP,
     97  1.1  jmc     float_flag_underflow = FP_X_UFL,
     98  1.1  jmc     float_flag_overflow  = FP_X_OFL,
     99  1.1  jmc     float_flag_divbyzero = FP_X_DZ,
    100  1.1  jmc     float_flag_invalid   = FP_X_INV
    101  1.1  jmc };
    102  1.1  jmc 
    103  1.1  jmc /*
    104  1.1  jmc -------------------------------------------------------------------------------
    105  1.1  jmc Routine to raise any or all of the software IEC/IEEE floating-point
    106  1.1  jmc exception flags.
    107  1.1  jmc -------------------------------------------------------------------------------
    108  1.1  jmc */
    109  1.1  jmc void float_raise( int8 );
    110  1.1  jmc 
    111  1.1  jmc /*
    112  1.1  jmc -------------------------------------------------------------------------------
    113  1.1  jmc Software IEC/IEEE integer-to-floating-point conversion routines.
    114  1.1  jmc -------------------------------------------------------------------------------
    115  1.1  jmc */
    116  1.1  jmc float32 int32_to_float32( int );
    117  1.1  jmc float64 int32_to_float64( int );
    118  1.1  jmc #ifdef FLOATX80
    119  1.1  jmc floatx80 int32_to_floatx80( int );
    120  1.1  jmc #endif
    121  1.1  jmc #ifdef FLOAT128
    122  1.1  jmc float128 int32_to_float128( int );
    123  1.1  jmc #endif
    124  1.1  jmc float32 int64_to_float32( long long );
    125  1.1  jmc float64 int64_to_float64( long long );
    126  1.1  jmc #ifdef FLOATX80
    127  1.1  jmc floatx80 int64_to_floatx80( long long );
    128  1.1  jmc #endif
    129  1.1  jmc #ifdef FLOAT128
    130  1.1  jmc float128 int64_to_float128( long long );
    131  1.1  jmc #endif
    132  1.1  jmc 
    133  1.1  jmc /*
    134  1.1  jmc -------------------------------------------------------------------------------
    135  1.1  jmc Software IEC/IEEE single-precision conversion routines.
    136  1.1  jmc -------------------------------------------------------------------------------
    137  1.1  jmc */
    138  1.1  jmc int float32_to_int32( float32 );
    139  1.1  jmc int float32_to_int32_round_to_zero( float32 );
    140  1.1  jmc unsigned int float32_to_uint32_round_to_zero( float32 );
    141  1.1  jmc long long float32_to_int64( float32 );
    142  1.1  jmc long long float32_to_int64_round_to_zero( float32 );
    143  1.1  jmc float64 float32_to_float64( float32 );
    144  1.1  jmc #ifdef FLOATX80
    145  1.1  jmc floatx80 float32_to_floatx80( float32 );
    146  1.1  jmc #endif
    147  1.1  jmc #ifdef FLOAT128
    148  1.1  jmc float128 float32_to_float128( float32 );
    149  1.1  jmc #endif
    150  1.1  jmc 
    151  1.1  jmc /*
    152  1.1  jmc -------------------------------------------------------------------------------
    153  1.1  jmc Software IEC/IEEE single-precision operations.
    154  1.1  jmc -------------------------------------------------------------------------------
    155  1.1  jmc */
    156  1.1  jmc float32 float32_round_to_int( float32 );
    157  1.1  jmc float32 float32_add( float32, float32 );
    158  1.1  jmc float32 float32_sub( float32, float32 );
    159  1.1  jmc float32 float32_mul( float32, float32 );
    160  1.1  jmc float32 float32_div( float32, float32 );
    161  1.1  jmc float32 float32_rem( float32, float32 );
    162  1.1  jmc float32 float32_sqrt( float32 );
    163  1.1  jmc flag float32_eq( float32, float32 );
    164  1.1  jmc flag float32_le( float32, float32 );
    165  1.1  jmc flag float32_lt( float32, float32 );
    166  1.1  jmc flag float32_eq_signaling( float32, float32 );
    167  1.1  jmc flag float32_le_quiet( float32, float32 );
    168  1.1  jmc flag float32_lt_quiet( float32, float32 );
    169  1.1  jmc flag float32_is_signaling_nan( float32 );
    170  1.1  jmc 
    171  1.1  jmc /*
    172  1.1  jmc -------------------------------------------------------------------------------
    173  1.1  jmc Software IEC/IEEE double-precision conversion routines.
    174  1.1  jmc -------------------------------------------------------------------------------
    175  1.1  jmc */
    176  1.1  jmc int float64_to_int32( float64 );
    177  1.1  jmc int float64_to_int32_round_to_zero( float64 );
    178  1.1  jmc unsigned int float64_to_uint32_round_to_zero( float64 );
    179  1.1  jmc long long float64_to_int64( float64 );
    180  1.1  jmc long long float64_to_int64_round_to_zero( float64 );
    181  1.1  jmc float32 float64_to_float32( float64 );
    182  1.1  jmc #ifdef FLOATX80
    183  1.1  jmc floatx80 float64_to_floatx80( float64 );
    184  1.1  jmc #endif
    185  1.1  jmc #ifdef FLOAT128
    186  1.1  jmc float128 float64_to_float128( float64 );
    187  1.1  jmc #endif
    188  1.1  jmc 
    189  1.1  jmc /*
    190  1.1  jmc -------------------------------------------------------------------------------
    191  1.1  jmc Software IEC/IEEE double-precision operations.
    192  1.1  jmc -------------------------------------------------------------------------------
    193  1.1  jmc */
    194  1.1  jmc float64 float64_round_to_int( float64 );
    195  1.1  jmc float64 float64_add( float64, float64 );
    196  1.1  jmc float64 float64_sub( float64, float64 );
    197  1.1  jmc float64 float64_mul( float64, float64 );
    198  1.1  jmc float64 float64_div( float64, float64 );
    199  1.1  jmc float64 float64_rem( float64, float64 );
    200  1.1  jmc float64 float64_sqrt( float64 );
    201  1.1  jmc flag float64_eq( float64, float64 );
    202  1.1  jmc flag float64_le( float64, float64 );
    203  1.1  jmc flag float64_lt( float64, float64 );
    204  1.1  jmc flag float64_eq_signaling( float64, float64 );
    205  1.1  jmc flag float64_le_quiet( float64, float64 );
    206  1.1  jmc flag float64_lt_quiet( float64, float64 );
    207  1.1  jmc flag float64_is_signaling_nan( float64 );
    208  1.1  jmc 
    209  1.1  jmc #ifdef FLOATX80
    210  1.1  jmc 
    211  1.1  jmc /*
    212  1.1  jmc -------------------------------------------------------------------------------
    213  1.1  jmc Software IEC/IEEE extended double-precision conversion routines.
    214  1.1  jmc -------------------------------------------------------------------------------
    215  1.1  jmc */
    216  1.1  jmc int floatx80_to_int32( floatx80 );
    217  1.1  jmc int floatx80_to_int32_round_to_zero( floatx80 );
    218  1.1  jmc long long floatx80_to_int64( floatx80 );
    219  1.1  jmc long long floatx80_to_int64_round_to_zero( floatx80 );
    220  1.1  jmc float32 floatx80_to_float32( floatx80 );
    221  1.1  jmc float64 floatx80_to_float64( floatx80 );
    222  1.1  jmc #ifdef FLOAT128
    223  1.1  jmc float128 floatx80_to_float128( floatx80 );
    224  1.1  jmc #endif
    225  1.1  jmc 
    226  1.1  jmc /*
    227  1.1  jmc -------------------------------------------------------------------------------
    228  1.1  jmc Software IEC/IEEE extended double-precision rounding precision.  Valid
    229  1.1  jmc values are 32, 64, and 80.
    230  1.1  jmc -------------------------------------------------------------------------------
    231  1.1  jmc */
    232  1.1  jmc extern int floatx80_rounding_precision;
    233  1.1  jmc 
    234  1.1  jmc /*
    235  1.1  jmc -------------------------------------------------------------------------------
    236  1.1  jmc Software IEC/IEEE extended double-precision operations.
    237  1.1  jmc -------------------------------------------------------------------------------
    238  1.1  jmc */
    239  1.1  jmc floatx80 floatx80_round_to_int( floatx80 );
    240  1.1  jmc floatx80 floatx80_add( floatx80, floatx80 );
    241  1.1  jmc floatx80 floatx80_sub( floatx80, floatx80 );
    242  1.1  jmc floatx80 floatx80_mul( floatx80, floatx80 );
    243  1.1  jmc floatx80 floatx80_div( floatx80, floatx80 );
    244  1.1  jmc floatx80 floatx80_rem( floatx80, floatx80 );
    245  1.1  jmc floatx80 floatx80_sqrt( floatx80 );
    246  1.1  jmc flag floatx80_eq( floatx80, floatx80 );
    247  1.1  jmc flag floatx80_le( floatx80, floatx80 );
    248  1.1  jmc flag floatx80_lt( floatx80, floatx80 );
    249  1.1  jmc flag floatx80_eq_signaling( floatx80, floatx80 );
    250  1.1  jmc flag floatx80_le_quiet( floatx80, floatx80 );
    251  1.1  jmc flag floatx80_lt_quiet( floatx80, floatx80 );
    252  1.1  jmc flag floatx80_is_signaling_nan( floatx80 );
    253  1.1  jmc 
    254  1.1  jmc #endif
    255  1.1  jmc 
    256  1.1  jmc #ifdef FLOAT128
    257  1.1  jmc 
    258  1.1  jmc /*
    259  1.1  jmc -------------------------------------------------------------------------------
    260  1.1  jmc Software IEC/IEEE quadruple-precision conversion routines.
    261  1.1  jmc -------------------------------------------------------------------------------
    262  1.1  jmc */
    263  1.1  jmc int float128_to_int32( float128 );
    264  1.1  jmc int float128_to_int32_round_to_zero( float128 );
    265  1.1  jmc long long float128_to_int64( float128 );
    266  1.1  jmc long long float128_to_int64_round_to_zero( float128 );
    267  1.1  jmc float32 float128_to_float32( float128 );
    268  1.1  jmc float64 float128_to_float64( float128 );
    269  1.1  jmc #ifdef FLOATX80
    270  1.1  jmc floatx80 float128_to_floatx80( float128 );
    271  1.1  jmc #endif
    272  1.1  jmc 
    273  1.1  jmc /*
    274  1.1  jmc -------------------------------------------------------------------------------
    275  1.1  jmc Software IEC/IEEE quadruple-precision operations.
    276  1.1  jmc -------------------------------------------------------------------------------
    277  1.1  jmc */
    278  1.1  jmc float128 float128_round_to_int( float128 );
    279  1.1  jmc float128 float128_add( float128, float128 );
    280  1.1  jmc float128 float128_sub( float128, float128 );
    281  1.1  jmc float128 float128_mul( float128, float128 );
    282  1.1  jmc float128 float128_div( float128, float128 );
    283  1.1  jmc float128 float128_rem( float128, float128 );
    284  1.1  jmc float128 float128_sqrt( float128 );
    285  1.1  jmc flag float128_eq( float128, float128 );
    286  1.1  jmc flag float128_le( float128, float128 );
    287  1.1  jmc flag float128_lt( float128, float128 );
    288  1.1  jmc flag float128_eq_signaling( float128, float128 );
    289  1.1  jmc flag float128_le_quiet( float128, float128 );
    290  1.1  jmc flag float128_lt_quiet( float128, float128 );
    291  1.1  jmc flag float128_is_signaling_nan( float128 );
    292  1.1  jmc flag float128_is_nan( float128 );
    293  1.1  jmc 
    294  1.1  jmc #endif
    295