sfpy/cfloat.pxd

   1 from libc.stdint cimport *
   2
   3 # For bitwise conversion between Python floats and the uint containers
   4 # needed to construct softfloat representations.
   5 ctypedef union ui64_double:
   6     uint64_t u;
   7     double d;
   8
   9 cdef extern from '../berkeley-softfloat-3/source/include/softfloat.h':
  10
  11     # Transparent types so we can have access to the raw bits.
  12
  13     ctypedef struct float16_t:
  14         uint16_t v;
  15
  16     ctypedef struct float32_t:
  17         uint32_t v;
  18
  19     ctypedef struct float64_t:
  20         uint64_t v;
  21
  22     ctypedef struct float128_t:
  23         uint64_t v[2];
  24
  25     # /*----------------------------------------------------------------------------
  26     # | Software floating-point underflow tininess-detection mode.
  27     # *----------------------------------------------------------------------------*/
  28     # extern uint_fast8_t softfloat_detectTininess; # THREAD_LOCAL
  29     # cdef enum:
  30     #     softfloat_tininess_beforeRounding = 0
  31     #     softfloat_tininess_afterRounding  = 1
  32
  33     # /*----------------------------------------------------------------------------
  34     # | Software floating-point rounding mode.  (Mode "odd" is supported only if
  35     # | SoftFloat is compiled with macro 'SOFTFLOAT_ROUND_ODD' defined.)
  36     # *----------------------------------------------------------------------------*/
  37     extern uint_fast8_t softfloat_roundingMode; # THREAD_LOCAL
  38     cdef enum:
  39         softfloat_round_near_even   = 0
  40         softfloat_round_minMag      = 1
  41         softfloat_round_min         = 2
  42         softfloat_round_max         = 3
  43         softfloat_round_near_maxMag = 4
  44         # softfloat_round_odd         = 6
  45
  46     # /*----------------------------------------------------------------------------
  47     # | Software floating-point exception flags.
  48     # *----------------------------------------------------------------------------*/
  49     extern uint_fast8_t softfloat_exceptionFlags; # THREAD_LOCAL
  50     cdef enum:
  51         softfloat_flag_inexact   =  1
  52         softfloat_flag_underflow =  2
  53         softfloat_flag_overflow  =  4
  54         softfloat_flag_infinite  =  8
  55         softfloat_flag_invalid   = 16
  56
  57     # /*----------------------------------------------------------------------------
  58     # | Routine to raise any or all of the software floating-point exception flags.
  59     # *----------------------------------------------------------------------------*/
  60     void softfloat_raiseFlags( uint_fast8_t );
  61
  62     # /*----------------------------------------------------------------------------
  63     # | Integer-to-floating-point conversion routines.
  64     # *----------------------------------------------------------------------------*/
  65     float16_t ui32_to_f16( uint32_t );
  66     float32_t ui32_to_f32( uint32_t );
  67     float64_t ui32_to_f64( uint32_t );
  68     # #ifdef SOFTFLOAT_FAST_INT64
  69     # extFloat80_t ui32_to_extF80( uint32_t );
  70     # float128_t ui32_to_f128( uint32_t );
  71     # #endif
  72     # void ui32_to_extF80M( uint32_t, extFloat80_t * );
  73     # void ui32_to_f128M( uint32_t, float128_t * );
  74     float16_t ui64_to_f16( uint64_t );
  75     float32_t ui64_to_f32( uint64_t );
  76     float64_t ui64_to_f64( uint64_t );
  77     # #ifdef SOFTFLOAT_FAST_INT64
  78     # extFloat80_t ui64_to_extF80( uint64_t );
  79     # float128_t ui64_to_f128( uint64_t );
  80     # #endif
  81     # void ui64_to_extF80M( uint64_t, extFloat80_t * );
  82     # void ui64_to_f128M( uint64_t, float128_t * );
  83     float16_t i32_to_f16( int32_t );
  84     float32_t i32_to_f32( int32_t );
  85     float64_t i32_to_f64( int32_t );
  86     # #ifdef SOFTFLOAT_FAST_INT64
  87     # extFloat80_t i32_to_extF80( int32_t );
  88     # float128_t i32_to_f128( int32_t );
  89     # #endif
  90     # void i32_to_extF80M( int32_t, extFloat80_t * );
  91     # void i32_to_f128M( int32_t, float128_t * );
  92     float16_t i64_to_f16( int64_t );
  93     float32_t i64_to_f32( int64_t );
  94     float64_t i64_to_f64( int64_t );
  95     # #ifdef SOFTFLOAT_FAST_INT64
  96     # extFloat80_t i64_to_extF80( int64_t );
  97     # float128_t i64_to_f128( int64_t );
  98     # #endif
  99     # void i64_to_extF80M( int64_t, extFloat80_t * );
 100     # void i64_to_f128M( int64_t, float128_t * );
 101
 102     # /*----------------------------------------------------------------------------
 103     # | 16-bit (half-precision) floating-point operations.
 104     # *----------------------------------------------------------------------------*/
 105     uint_fast32_t f16_to_ui32( float16_t, uint_fast8_t, bint );
 106     uint_fast64_t f16_to_ui64( float16_t, uint_fast8_t, bint );
 107     int_fast32_t f16_to_i32( float16_t, uint_fast8_t, bint );
 108     int_fast64_t f16_to_i64( float16_t, uint_fast8_t, bint );
 109     uint_fast32_t f16_to_ui32_r_minMag( float16_t, bint );
 110     uint_fast64_t f16_to_ui64_r_minMag( float16_t, bint );
 111     int_fast32_t f16_to_i32_r_minMag( float16_t, bint );
 112     int_fast64_t f16_to_i64_r_minMag( float16_t, bint );
 113     float32_t f16_to_f32( float16_t );
 114     float64_t f16_to_f64( float16_t );
 115     # #ifdef SOFTFLOAT_FAST_INT64
 116     # extFloat80_t f16_to_extF80( float16_t );
 117     # float128_t f16_to_f128( float16_t );
 118     # #endif
 119     # void f16_to_extF80M( float16_t, extFloat80_t * );
 120     # void f16_to_f128M( float16_t, float128_t * );
 121     float16_t f16_roundToInt( float16_t, uint_fast8_t, bint );
 122     float16_t f16_add( float16_t, float16_t );
 123     float16_t f16_sub( float16_t, float16_t );
 124     float16_t f16_mul( float16_t, float16_t );
 125     float16_t f16_mulAdd( float16_t, float16_t, float16_t );
 126     float16_t f16_div( float16_t, float16_t );
 127     float16_t f16_rem( float16_t, float16_t );
 128     float16_t f16_sqrt( float16_t );
 129     bint f16_eq( float16_t, float16_t );
 130     bint f16_le( float16_t, float16_t );
 131     bint f16_lt( float16_t, float16_t );
 132     bint f16_eq_signaling( float16_t, float16_t );
 133     bint f16_le_quiet( float16_t, float16_t );
 134     bint f16_lt_quiet( float16_t, float16_t );
 135     bint f16_isSignalingNaN( float16_t );
 136
 137     # /*----------------------------------------------------------------------------
 138     # | 32-bit (single-precision) floating-point operations.
 139     # *----------------------------------------------------------------------------*/
 140     uint_fast32_t f32_to_ui32( float32_t, uint_fast8_t, bint );
 141     uint_fast64_t f32_to_ui64( float32_t, uint_fast8_t, bint );
 142     int_fast32_t f32_to_i32( float32_t, uint_fast8_t, bint );
 143     int_fast64_t f32_to_i64( float32_t, uint_fast8_t, bint );
 144     uint_fast32_t f32_to_ui32_r_minMag( float32_t, bint );
 145     uint_fast64_t f32_to_ui64_r_minMag( float32_t, bint );
 146     int_fast32_t f32_to_i32_r_minMag( float32_t, bint );
 147     int_fast64_t f32_to_i64_r_minMag( float32_t, bint );
 148     float16_t f32_to_f16( float32_t );
 149     float64_t f32_to_f64( float32_t );
 150     # #ifdef SOFTFLOAT_FAST_INT64
 151     # extFloat80_t f32_to_extF80( float32_t );
 152     # float128_t f32_to_f128( float32_t );
 153     # #endif
 154     # void f32_to_extF80M( float32_t, extFloat80_t * );
 155     # void f32_to_f128M( float32_t, float128_t * );
 156     float32_t f32_roundToInt( float32_t, uint_fast8_t, bint );
 157     float32_t f32_add( float32_t, float32_t );
 158     float32_t f32_sub( float32_t, float32_t );
 159     float32_t f32_mul( float32_t, float32_t );
 160     float32_t f32_mulAdd( float32_t, float32_t, float32_t );
 161     float32_t f32_div( float32_t, float32_t );
 162     float32_t f32_rem( float32_t, float32_t );
 163     float32_t f32_sqrt( float32_t );
 164     bint f32_eq( float32_t, float32_t );
 165     bint f32_le( float32_t, float32_t );
 166     bint f32_lt( float32_t, float32_t );
 167     bint f32_eq_signaling( float32_t, float32_t );
 168     bint f32_le_quiet( float32_t, float32_t );
 169     bint f32_lt_quiet( float32_t, float32_t );
 170     bint f32_isSignalingNaN( float32_t );
 171
 172     # /*----------------------------------------------------------------------------
 173     # | 64-bit (double-precision) floating-point operations.
 174     # *----------------------------------------------------------------------------*/
 175     uint_fast32_t f64_to_ui32( float64_t, uint_fast8_t, bint );
 176     uint_fast64_t f64_to_ui64( float64_t, uint_fast8_t, bint );
 177     int_fast32_t f64_to_i32( float64_t, uint_fast8_t, bint );
 178     int_fast64_t f64_to_i64( float64_t, uint_fast8_t, bint );
 179     uint_fast32_t f64_to_ui32_r_minMag( float64_t, bint );
 180     uint_fast64_t f64_to_ui64_r_minMag( float64_t, bint );
 181     int_fast32_t f64_to_i32_r_minMag( float64_t, bint );
 182     int_fast64_t f64_to_i64_r_minMag( float64_t, bint );
 183     float16_t f64_to_f16( float64_t );
 184     float32_t f64_to_f32( float64_t );
 185     # #ifdef SOFTFLOAT_FAST_INT64
 186     # extFloat80_t f64_to_extF80( float64_t );
 187     # float128_t f64_to_f128( float64_t );
 188     # #endif
 189     # void f64_to_extF80M( float64_t, extFloat80_t * );
 190     # void f64_to_f128M( float64_t, float128_t * );
 191     float64_t f64_roundToInt( float64_t, uint_fast8_t, bint );
 192     float64_t f64_add( float64_t, float64_t );
 193     float64_t f64_sub( float64_t, float64_t );
 194     float64_t f64_mul( float64_t, float64_t );
 195     float64_t f64_mulAdd( float64_t, float64_t, float64_t );
 196     float64_t f64_div( float64_t, float64_t );
 197     float64_t f64_rem( float64_t, float64_t );
 198     float64_t f64_sqrt( float64_t );
 199     bint f64_eq( float64_t, float64_t );
 200     bint f64_le( float64_t, float64_t );
 201     bint f64_lt( float64_t, float64_t );
 202     bint f64_eq_signaling( float64_t, float64_t );
 203     bint f64_le_quiet( float64_t, float64_t );
 204     bint f64_lt_quiet( float64_t, float64_t );
 205     bint f64_isSignalingNaN( float64_t );
 206
 207     # /*----------------------------------------------------------------------------
 208     # | Rounding precision for 80-bit extended double-precision floating-point.
 209     # | Valid values are 32, 64, and 80.
 210     # *----------------------------------------------------------------------------*/
 211     # extern THREAD_LOCAL uint_fast8_t extF80_roundingPrecision;
 212
 213     # /*----------------------------------------------------------------------------
 214     # | 80-bit extended double-precision floating-point operations.
 215     # *----------------------------------------------------------------------------*/
 216     # #ifdef SOFTFLOAT_FAST_INT64
 217     # uint_fast32_t extF80_to_ui32( extFloat80_t, uint_fast8_t, bint );
 218     # uint_fast64_t extF80_to_ui64( extFloat80_t, uint_fast8_t, bint );
 219     # int_fast32_t extF80_to_i32( extFloat80_t, uint_fast8_t, bint );
 220     # int_fast64_t extF80_to_i64( extFloat80_t, uint_fast8_t, bint );
 221     # uint_fast32_t extF80_to_ui32_r_minMag( extFloat80_t, bint );
 222     # uint_fast64_t extF80_to_ui64_r_minMag( extFloat80_t, bint );
 223     # int_fast32_t extF80_to_i32_r_minMag( extFloat80_t, bint );
 224     # int_fast64_t extF80_to_i64_r_minMag( extFloat80_t, bint );
 225     # float16_t extF80_to_f16( extFloat80_t );
 226     # float32_t extF80_to_f32( extFloat80_t );
 227     # float64_t extF80_to_f64( extFloat80_t );
 228     # float128_t extF80_to_f128( extFloat80_t );
 229     # extFloat80_t extF80_roundToInt( extFloat80_t, uint_fast8_t, bint );
 230     # extFloat80_t extF80_add( extFloat80_t, extFloat80_t );
 231     # extFloat80_t extF80_sub( extFloat80_t, extFloat80_t );
 232     # extFloat80_t extF80_mul( extFloat80_t, extFloat80_t );
 233     # extFloat80_t extF80_div( extFloat80_t, extFloat80_t );
 234     # extFloat80_t extF80_rem( extFloat80_t, extFloat80_t );
 235     # extFloat80_t extF80_sqrt( extFloat80_t );
 236     # bint extF80_eq( extFloat80_t, extFloat80_t );
 237     # bint extF80_le( extFloat80_t, extFloat80_t );
 238     # bint extF80_lt( extFloat80_t, extFloat80_t );
 239     # bint extF80_eq_signaling( extFloat80_t, extFloat80_t );
 240     # bint extF80_le_quiet( extFloat80_t, extFloat80_t );
 241     # bint extF80_lt_quiet( extFloat80_t, extFloat80_t );
 242     # bint extF80_isSignalingNaN( extFloat80_t );
 243     # #endif
 244     # uint_fast32_t extF80M_to_ui32( const extFloat80_t *, uint_fast8_t, bint );
 245     # uint_fast64_t extF80M_to_ui64( const extFloat80_t *, uint_fast8_t, bint );
 246     # int_fast32_t extF80M_to_i32( const extFloat80_t *, uint_fast8_t, bint );
 247     # int_fast64_t extF80M_to_i64( const extFloat80_t *, uint_fast8_t, bint );
 248     # uint_fast32_t extF80M_to_ui32_r_minMag( const extFloat80_t *, bint );
 249     # uint_fast64_t extF80M_to_ui64_r_minMag( const extFloat80_t *, bint );
 250     # int_fast32_t extF80M_to_i32_r_minMag( const extFloat80_t *, bint );
 251     # int_fast64_t extF80M_to_i64_r_minMag( const extFloat80_t *, bint );
 252     # float16_t extF80M_to_f16( const extFloat80_t * );
 253     # float32_t extF80M_to_f32( const extFloat80_t * );
 254     # float64_t extF80M_to_f64( const extFloat80_t * );
 255     # void extF80M_to_f128M( const extFloat80_t *, float128_t * );
 256     # void
 257     #  extF80M_roundToInt(
 258     #      const extFloat80_t *, uint_fast8_t, bint, extFloat80_t * );
 259     # void extF80M_add( const extFloat80_t *, const extFloat80_t *, extFloat80_t * );
 260     # void extF80M_sub( const extFloat80_t *, const extFloat80_t *, extFloat80_t * );
 261     # void extF80M_mul( const extFloat80_t *, const extFloat80_t *, extFloat80_t * );
 262     # void extF80M_div( const extFloat80_t *, const extFloat80_t *, extFloat80_t * );
 263     # void extF80M_rem( const extFloat80_t *, const extFloat80_t *, extFloat80_t * );
 264     # void extF80M_sqrt( const extFloat80_t *, extFloat80_t * );
 265     # bint extF80M_eq( const extFloat80_t *, const extFloat80_t * );
 266     # bint extF80M_le( const extFloat80_t *, const extFloat80_t * );
 267     # bint extF80M_lt( const extFloat80_t *, const extFloat80_t * );
 268     # bint extF80M_eq_signaling( const extFloat80_t *, const extFloat80_t * );
 269     # bint extF80M_le_quiet( const extFloat80_t *, const extFloat80_t * );
 270     # bint extF80M_lt_quiet( const extFloat80_t *, const extFloat80_t * );
 271     # bint extF80M_isSignalingNaN( const extFloat80_t * );
 272
 273     # /*----------------------------------------------------------------------------
 274     # | 128-bit (quadruple-precision) floating-point operations.
 275     # *----------------------------------------------------------------------------*/
 276     # #ifdef SOFTFLOAT_FAST_INT64
 277     # uint_fast32_t f128_to_ui32( float128_t, uint_fast8_t, bint );
 278     # uint_fast64_t f128_to_ui64( float128_t, uint_fast8_t, bint );
 279     # int_fast32_t f128_to_i32( float128_t, uint_fast8_t, bint );
 280     # int_fast64_t f128_to_i64( float128_t, uint_fast8_t, bint );
 281     # uint_fast32_t f128_to_ui32_r_minMag( float128_t, bint );
 282     # uint_fast64_t f128_to_ui64_r_minMag( float128_t, bint );
 283     # int_fast32_t f128_to_i32_r_minMag( float128_t, bint );
 284     # int_fast64_t f128_to_i64_r_minMag( float128_t, bint );
 285     # float16_t f128_to_f16( float128_t );
 286     # float32_t f128_to_f32( float128_t );
 287     # float64_t f128_to_f64( float128_t );
 288     # extFloat80_t f128_to_extF80( float128_t );
 289     # float128_t f128_roundToInt( float128_t, uint_fast8_t, bint );
 290     # float128_t f128_add( float128_t, float128_t );
 291     # float128_t f128_sub( float128_t, float128_t );
 292     # float128_t f128_mul( float128_t, float128_t );
 293     # float128_t f128_mulAdd( float128_t, float128_t, float128_t );
 294     # float128_t f128_div( float128_t, float128_t );
 295     # float128_t f128_rem( float128_t, float128_t );
 296     # float128_t f128_sqrt( float128_t );
 297     # bint f128_eq( float128_t, float128_t );
 298     # bint f128_le( float128_t, float128_t );
 299     # bint f128_lt( float128_t, float128_t );
 300     # bint f128_eq_signaling( float128_t, float128_t );
 301     # bint f128_le_quiet( float128_t, float128_t );
 302     # bint f128_lt_quiet( float128_t, float128_t );
 303     # bint f128_isSignalingNaN( float128_t );
 304     # #endif
 305     # uint_fast32_t f128M_to_ui32( const float128_t *, uint_fast8_t, bint );
 306     # uint_fast64_t f128M_to_ui64( const float128_t *, uint_fast8_t, bint );
 307     # int_fast32_t f128M_to_i32( const float128_t *, uint_fast8_t, bint );
 308     # int_fast64_t f128M_to_i64( const float128_t *, uint_fast8_t, bint );
 309     # uint_fast32_t f128M_to_ui32_r_minMag( const float128_t *, bint );
 310     # uint_fast64_t f128M_to_ui64_r_minMag( const float128_t *, bint );
 311     # int_fast32_t f128M_to_i32_r_minMag( const float128_t *, bint );
 312     # int_fast64_t f128M_to_i64_r_minMag( const float128_t *, bint );
 313     # float16_t f128M_to_f16( const float128_t * );
 314     # float32_t f128M_to_f32( const float128_t * );
 315     # float64_t f128M_to_f64( const float128_t * );
 316     # void f128M_to_extF80M( const float128_t *, extFloat80_t * );
 317     # void f128M_roundToInt( const float128_t *, uint_fast8_t, bint, float128_t * );
 318     # void f128M_add( const float128_t *, const float128_t *, float128_t * );
 319     # void f128M_sub( const float128_t *, const float128_t *, float128_t * );
 320     # void f128M_mul( const float128_t *, const float128_t *, float128_t * );
 321     # void
 322     #  f128M_mulAdd(
 323     #      const float128_t *, const float128_t *, const float128_t *, float128_t *
 324     #  );
 325     # void f128M_div( const float128_t *, const float128_t *, float128_t * );
 326     # void f128M_rem( const float128_t *, const float128_t *, float128_t * );
 327     # void f128M_sqrt( const float128_t *, float128_t * );
 328     # bint f128M_eq( const float128_t *, const float128_t * );
 329     # bint f128M_le( const float128_t *, const float128_t * );
 330     # bint f128M_lt( const float128_t *, const float128_t * );
 331     # bint f128M_eq_signaling( const float128_t *, const float128_t * );
 332     # bint f128M_le_quiet( const float128_t *, const float128_t * );
 333     # bint f128M_lt_quiet( const float128_t *, const float128_t * );
 334     # bint f128M_isSignalingNaN( const float128_t * );