1 /*============================================================================
3 This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
6 Written by John R. Hauser. This work was made possible in part by the
7 International Computer Science Institute, located at Suite 600, 1947 Center
8 Street, Berkeley, California 94704. Funding was partially provided by the
9 National Science Foundation under grant MIP-9311980. The original version
10 of this code was written as part of a project to build a fixed-point vector
11 processor in collaboration with the University of California at Berkeley,
12 overseen by Profs. Nelson Morgan and John Wawrzynek. More information
13 is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
14 arithmetic/SoftFloat.html'.
16 THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
17 been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
18 RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
19 AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
20 COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
21 EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
22 INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
23 OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
25 Derivative works are acceptable, even for commercial purposes, so long as
26 (1) the source code for the derivative work includes prominent notice that
27 the work is derivative, and (2) the source code includes prominent notice with
28 these four paragraphs for those parts of this code that are retained.
30 =============================================================================*/
35 #if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
42 /*----------------------------------------------------------------------------
43 | Each of the following `typedef's defines the most convenient type that holds
44 | integers of at least as many bits as specified. For example, `uint8' should
45 | be the most convenient type that can hold unsigned integers of as many as
46 | 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
47 | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
48 | to the same as `int'.
49 *----------------------------------------------------------------------------*/
51 typedef uint8_t uint8
;
57 typedef unsigned int uint32
;
58 typedef signed int int32
;
59 typedef uint64_t uint64
;
60 typedef int64_t int64
;
62 /*----------------------------------------------------------------------------
63 | Each of the following `typedef's defines a type that holds integers
64 | of _exactly_ the number of bits specified. For instance, for most
65 | implementation of C, `bits16' and `sbits16' should be `typedef'ed to
66 | `unsigned short int' and `signed short int' (or `short int'), respectively.
67 *----------------------------------------------------------------------------*/
68 typedef uint8_t bits8
;
69 typedef int8_t sbits8
;
70 typedef uint16_t bits16
;
71 typedef int16_t sbits16
;
72 typedef uint32_t bits32
;
73 typedef int32_t sbits32
;
74 typedef uint64_t bits64
;
75 typedef int64_t sbits64
;
77 #define LIT64( a ) a##LL
78 #define INLINE static inline
80 /*----------------------------------------------------------------------------
81 | The macro `FLOATX80' must be defined to enable the extended double-precision
82 | floating-point format `floatx80'. If this macro is not defined, the
83 | `floatx80' type will not be defined, and none of the functions that either
84 | input or output the `floatx80' type will be defined. The same applies to
85 | the `FLOAT128' macro and the quadruple-precision format `float128'.
86 *----------------------------------------------------------------------------*/
87 #ifdef CONFIG_SOFTFLOAT
88 /* bit exact soft float support */
92 /* native float support */
93 #if (defined(__i386__) || defined(__x86_64__)) && !defined(CONFIG_BSD)
96 #endif /* !CONFIG_SOFTFLOAT */
98 #define STATUS_PARAM , float_status *status
99 #define STATUS(field) status->field
100 #define STATUS_VAR , status
102 /*----------------------------------------------------------------------------
103 | Software IEC/IEEE floating-point ordering relations
104 *----------------------------------------------------------------------------*/
106 float_relation_less
= -1,
107 float_relation_equal
= 0,
108 float_relation_greater
= 1,
109 float_relation_unordered
= 2
112 #ifdef CONFIG_SOFTFLOAT
113 /*----------------------------------------------------------------------------
114 | Software IEC/IEEE floating-point types.
115 *----------------------------------------------------------------------------*/
116 /* Use structures for soft-float types. This prevents accidentally mixing
117 them with native int/float types. A sufficiently clever compiler and
118 sane ABI should be able to see though these structs. However
119 x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */
120 //#define USE_SOFTFLOAT_STRUCT_TYPES
121 #ifdef USE_SOFTFLOAT_STRUCT_TYPES
125 #define float16_val(x) (((float16)(x)).v)
126 #define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
130 /* The cast ensures an error if the wrong type is passed. */
131 #define float32_val(x) (((float32)(x)).v)
132 #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
136 #define float64_val(x) (((float64)(x)).v)
137 #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
139 typedef uint16_t float16
;
140 typedef uint32_t float32
;
141 typedef uint64_t float64
;
142 #define float16_val(x) (x)
143 #define float32_val(x) (x)
144 #define float64_val(x) (x)
145 #define make_float16(x) (x)
146 #define make_float32(x) (x)
147 #define make_float64(x) (x)
157 #ifdef HOST_WORDS_BIGENDIAN
165 /*----------------------------------------------------------------------------
166 | Software IEC/IEEE floating-point underflow tininess-detection mode.
167 *----------------------------------------------------------------------------*/
169 float_tininess_after_rounding
= 0,
170 float_tininess_before_rounding
= 1
173 /*----------------------------------------------------------------------------
174 | Software IEC/IEEE floating-point rounding mode.
175 *----------------------------------------------------------------------------*/
177 float_round_nearest_even
= 0,
178 float_round_down
= 1,
180 float_round_to_zero
= 3
183 /*----------------------------------------------------------------------------
184 | Software IEC/IEEE floating-point exception flags.
185 *----------------------------------------------------------------------------*/
187 float_flag_invalid
= 1,
188 float_flag_divbyzero
= 4,
189 float_flag_overflow
= 8,
190 float_flag_underflow
= 16,
191 float_flag_inexact
= 32,
192 float_flag_input_denormal
= 64
195 typedef struct float_status
{
196 signed char float_detect_tininess
;
197 signed char float_rounding_mode
;
198 signed char float_exception_flags
;
200 signed char floatx80_rounding_precision
;
202 /* should denormalised results go to zero and set the inexact flag? */
204 /* should denormalised inputs go to zero and set the input_denormal flag? */
205 flag flush_inputs_to_zero
;
206 flag default_nan_mode
;
209 void set_float_rounding_mode(int val STATUS_PARAM
);
210 void set_float_exception_flags(int val STATUS_PARAM
);
211 INLINE
void set_flush_to_zero(flag val STATUS_PARAM
)
213 STATUS(flush_to_zero
) = val
;
215 INLINE
void set_flush_inputs_to_zero(flag val STATUS_PARAM
)
217 STATUS(flush_inputs_to_zero
) = val
;
219 INLINE
void set_default_nan_mode(flag val STATUS_PARAM
)
221 STATUS(default_nan_mode
) = val
;
223 INLINE
int get_float_exception_flags(float_status
*status
)
225 return STATUS(float_exception_flags
);
228 void set_floatx80_rounding_precision(int val STATUS_PARAM
);
231 /*----------------------------------------------------------------------------
232 | Routine to raise any or all of the software IEC/IEEE floating-point
234 *----------------------------------------------------------------------------*/
235 void float_raise( int8 flags STATUS_PARAM
);
237 /*----------------------------------------------------------------------------
238 | Software IEC/IEEE integer-to-floating-point conversion routines.
239 *----------------------------------------------------------------------------*/
240 float32
int32_to_float32( int STATUS_PARAM
);
241 float64
int32_to_float64( int STATUS_PARAM
);
242 float32
uint32_to_float32( unsigned int STATUS_PARAM
);
243 float64
uint32_to_float64( unsigned int STATUS_PARAM
);
245 floatx80
int32_to_floatx80( int STATUS_PARAM
);
248 float128
int32_to_float128( int STATUS_PARAM
);
250 float32
int64_to_float32( int64_t STATUS_PARAM
);
251 float32
uint64_to_float32( uint64_t STATUS_PARAM
);
252 float64
int64_to_float64( int64_t STATUS_PARAM
);
253 float64
uint64_to_float64( uint64_t STATUS_PARAM
);
255 floatx80
int64_to_floatx80( int64_t STATUS_PARAM
);
258 float128
int64_to_float128( int64_t STATUS_PARAM
);
261 /*----------------------------------------------------------------------------
262 | Software half-precision conversion routines.
263 *----------------------------------------------------------------------------*/
264 float16
float32_to_float16( float32
, flag STATUS_PARAM
);
265 float32
float16_to_float32( float16
, flag STATUS_PARAM
);
267 /*----------------------------------------------------------------------------
268 | Software half-precision operations.
269 *----------------------------------------------------------------------------*/
270 int float16_is_quiet_nan( float16
);
271 int float16_is_signaling_nan( float16
);
272 float16
float16_maybe_silence_nan( float16
);
274 /*----------------------------------------------------------------------------
275 | Software IEC/IEEE single-precision conversion routines.
276 *----------------------------------------------------------------------------*/
277 int float32_to_int16_round_to_zero( float32 STATUS_PARAM
);
278 unsigned int float32_to_uint16_round_to_zero( float32 STATUS_PARAM
);
279 int float32_to_int32( float32 STATUS_PARAM
);
280 int float32_to_int32_round_to_zero( float32 STATUS_PARAM
);
281 unsigned int float32_to_uint32( float32 STATUS_PARAM
);
282 unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM
);
283 int64_t float32_to_int64( float32 STATUS_PARAM
);
284 int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM
);
285 float64
float32_to_float64( float32 STATUS_PARAM
);
287 floatx80
float32_to_floatx80( float32 STATUS_PARAM
);
290 float128
float32_to_float128( float32 STATUS_PARAM
);
293 /*----------------------------------------------------------------------------
294 | Software IEC/IEEE single-precision operations.
295 *----------------------------------------------------------------------------*/
296 float32
float32_round_to_int( float32 STATUS_PARAM
);
297 float32
float32_add( float32
, float32 STATUS_PARAM
);
298 float32
float32_sub( float32
, float32 STATUS_PARAM
);
299 float32
float32_mul( float32
, float32 STATUS_PARAM
);
300 float32
float32_div( float32
, float32 STATUS_PARAM
);
301 float32
float32_rem( float32
, float32 STATUS_PARAM
);
302 float32
float32_sqrt( float32 STATUS_PARAM
);
303 float32
float32_exp2( float32 STATUS_PARAM
);
304 float32
float32_log2( float32 STATUS_PARAM
);
305 int float32_eq( float32
, float32 STATUS_PARAM
);
306 int float32_le( float32
, float32 STATUS_PARAM
);
307 int float32_lt( float32
, float32 STATUS_PARAM
);
308 int float32_eq_signaling( float32
, float32 STATUS_PARAM
);
309 int float32_le_quiet( float32
, float32 STATUS_PARAM
);
310 int float32_lt_quiet( float32
, float32 STATUS_PARAM
);
311 int float32_compare( float32
, float32 STATUS_PARAM
);
312 int float32_compare_quiet( float32
, float32 STATUS_PARAM
);
313 int float32_is_quiet_nan( float32
);
314 int float32_is_signaling_nan( float32
);
315 float32
float32_maybe_silence_nan( float32
);
316 float32
float32_scalbn( float32
, int STATUS_PARAM
);
318 INLINE float32
float32_abs(float32 a
)
320 /* Note that abs does *not* handle NaN specially, nor does
321 * it flush denormal inputs to zero.
323 return make_float32(float32_val(a
) & 0x7fffffff);
326 INLINE float32
float32_chs(float32 a
)
328 /* Note that chs does *not* handle NaN specially, nor does
329 * it flush denormal inputs to zero.
331 return make_float32(float32_val(a
) ^ 0x80000000);
334 INLINE
int float32_is_infinity(float32 a
)
336 return (float32_val(a
) & 0x7fffffff) == 0x7f800000;
339 INLINE
int float32_is_neg(float32 a
)
341 return float32_val(a
) >> 31;
344 INLINE
int float32_is_zero(float32 a
)
346 return (float32_val(a
) & 0x7fffffff) == 0;
349 INLINE
int float32_is_any_nan(float32 a
)
351 return ((float32_val(a
) & ~(1 << 31)) > 0x7f800000UL
);
354 INLINE
int float32_is_zero_or_denormal(float32 a
)
356 return (float32_val(a
) & 0x7f800000) == 0;
359 #define float32_zero make_float32(0)
360 #define float32_one make_float32(0x3f800000)
361 #define float32_ln2 make_float32(0x3f317218)
363 /*----------------------------------------------------------------------------
364 | Software IEC/IEEE double-precision conversion routines.
365 *----------------------------------------------------------------------------*/
366 int float64_to_int16_round_to_zero( float64 STATUS_PARAM
);
367 unsigned int float64_to_uint16_round_to_zero( float64 STATUS_PARAM
);
368 int float64_to_int32( float64 STATUS_PARAM
);
369 int float64_to_int32_round_to_zero( float64 STATUS_PARAM
);
370 unsigned int float64_to_uint32( float64 STATUS_PARAM
);
371 unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM
);
372 int64_t float64_to_int64( float64 STATUS_PARAM
);
373 int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM
);
374 uint64_t float64_to_uint64 (float64 a STATUS_PARAM
);
375 uint64_t float64_to_uint64_round_to_zero (float64 a STATUS_PARAM
);
376 float32
float64_to_float32( float64 STATUS_PARAM
);
378 floatx80
float64_to_floatx80( float64 STATUS_PARAM
);
381 float128
float64_to_float128( float64 STATUS_PARAM
);
384 /*----------------------------------------------------------------------------
385 | Software IEC/IEEE double-precision operations.
386 *----------------------------------------------------------------------------*/
387 float64
float64_round_to_int( float64 STATUS_PARAM
);
388 float64
float64_trunc_to_int( float64 STATUS_PARAM
);
389 float64
float64_add( float64
, float64 STATUS_PARAM
);
390 float64
float64_sub( float64
, float64 STATUS_PARAM
);
391 float64
float64_mul( float64
, float64 STATUS_PARAM
);
392 float64
float64_div( float64
, float64 STATUS_PARAM
);
393 float64
float64_rem( float64
, float64 STATUS_PARAM
);
394 float64
float64_sqrt( float64 STATUS_PARAM
);
395 float64
float64_log2( float64 STATUS_PARAM
);
396 int float64_eq( float64
, float64 STATUS_PARAM
);
397 int float64_le( float64
, float64 STATUS_PARAM
);
398 int float64_lt( float64
, float64 STATUS_PARAM
);
399 int float64_eq_signaling( float64
, float64 STATUS_PARAM
);
400 int float64_le_quiet( float64
, float64 STATUS_PARAM
);
401 int float64_lt_quiet( float64
, float64 STATUS_PARAM
);
402 int float64_compare( float64
, float64 STATUS_PARAM
);
403 int float64_compare_quiet( float64
, float64 STATUS_PARAM
);
404 int float64_is_quiet_nan( float64 a
);
405 int float64_is_signaling_nan( float64
);
406 float64
float64_maybe_silence_nan( float64
);
407 float64
float64_scalbn( float64
, int STATUS_PARAM
);
409 INLINE float64
float64_abs(float64 a
)
411 /* Note that abs does *not* handle NaN specially, nor does
412 * it flush denormal inputs to zero.
414 return make_float64(float64_val(a
) & 0x7fffffffffffffffLL
);
417 INLINE float64
float64_chs(float64 a
)
419 /* Note that chs does *not* handle NaN specially, nor does
420 * it flush denormal inputs to zero.
422 return make_float64(float64_val(a
) ^ 0x8000000000000000LL
);
425 INLINE
int float64_is_infinity(float64 a
)
427 return (float64_val(a
) & 0x7fffffffffffffffLL
) == 0x7ff0000000000000LL
;
430 INLINE
int float64_is_neg(float64 a
)
432 return float64_val(a
) >> 63;
435 INLINE
int float64_is_zero(float64 a
)
437 return (float64_val(a
) & 0x7fffffffffffffffLL
) == 0;
440 INLINE
int float64_is_any_nan(float64 a
)
442 return ((float64_val(a
) & ~(1ULL << 63)) > 0x7ff0000000000000ULL
);
445 #define float64_zero make_float64(0)
446 #define float64_one make_float64(0x3ff0000000000000LL)
447 #define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
451 /*----------------------------------------------------------------------------
452 | Software IEC/IEEE extended double-precision conversion routines.
453 *----------------------------------------------------------------------------*/
454 int floatx80_to_int32( floatx80 STATUS_PARAM
);
455 int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM
);
456 int64_t floatx80_to_int64( floatx80 STATUS_PARAM
);
457 int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM
);
458 float32
floatx80_to_float32( floatx80 STATUS_PARAM
);
459 float64
floatx80_to_float64( floatx80 STATUS_PARAM
);
461 float128
floatx80_to_float128( floatx80 STATUS_PARAM
);
464 /*----------------------------------------------------------------------------
465 | Software IEC/IEEE extended double-precision operations.
466 *----------------------------------------------------------------------------*/
467 floatx80
floatx80_round_to_int( floatx80 STATUS_PARAM
);
468 floatx80
floatx80_add( floatx80
, floatx80 STATUS_PARAM
);
469 floatx80
floatx80_sub( floatx80
, floatx80 STATUS_PARAM
);
470 floatx80
floatx80_mul( floatx80
, floatx80 STATUS_PARAM
);
471 floatx80
floatx80_div( floatx80
, floatx80 STATUS_PARAM
);
472 floatx80
floatx80_rem( floatx80
, floatx80 STATUS_PARAM
);
473 floatx80
floatx80_sqrt( floatx80 STATUS_PARAM
);
474 int floatx80_eq( floatx80
, floatx80 STATUS_PARAM
);
475 int floatx80_le( floatx80
, floatx80 STATUS_PARAM
);
476 int floatx80_lt( floatx80
, floatx80 STATUS_PARAM
);
477 int floatx80_eq_signaling( floatx80
, floatx80 STATUS_PARAM
);
478 int floatx80_le_quiet( floatx80
, floatx80 STATUS_PARAM
);
479 int floatx80_lt_quiet( floatx80
, floatx80 STATUS_PARAM
);
480 int floatx80_is_quiet_nan( floatx80
);
481 int floatx80_is_signaling_nan( floatx80
);
482 floatx80
floatx80_maybe_silence_nan( floatx80
);
483 floatx80
floatx80_scalbn( floatx80
, int STATUS_PARAM
);
485 INLINE floatx80
floatx80_abs(floatx80 a
)
491 INLINE floatx80
floatx80_chs(floatx80 a
)
497 INLINE
int floatx80_is_infinity(floatx80 a
)
499 return (a
.high
& 0x7fff) == 0x7fff && a
.low
== 0;
502 INLINE
int floatx80_is_neg(floatx80 a
)
507 INLINE
int floatx80_is_zero(floatx80 a
)
509 return (a
.high
& 0x7fff) == 0 && a
.low
== 0;
512 INLINE
int floatx80_is_any_nan(floatx80 a
)
514 return ((a
.high
& 0x7fff) == 0x7fff) && (a
.low
<<1);
521 /*----------------------------------------------------------------------------
522 | Software IEC/IEEE quadruple-precision conversion routines.
523 *----------------------------------------------------------------------------*/
524 int float128_to_int32( float128 STATUS_PARAM
);
525 int float128_to_int32_round_to_zero( float128 STATUS_PARAM
);
526 int64_t float128_to_int64( float128 STATUS_PARAM
);
527 int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM
);
528 float32
float128_to_float32( float128 STATUS_PARAM
);
529 float64
float128_to_float64( float128 STATUS_PARAM
);
531 floatx80
float128_to_floatx80( float128 STATUS_PARAM
);
534 /*----------------------------------------------------------------------------
535 | Software IEC/IEEE quadruple-precision operations.
536 *----------------------------------------------------------------------------*/
537 float128
float128_round_to_int( float128 STATUS_PARAM
);
538 float128
float128_add( float128
, float128 STATUS_PARAM
);
539 float128
float128_sub( float128
, float128 STATUS_PARAM
);
540 float128
float128_mul( float128
, float128 STATUS_PARAM
);
541 float128
float128_div( float128
, float128 STATUS_PARAM
);
542 float128
float128_rem( float128
, float128 STATUS_PARAM
);
543 float128
float128_sqrt( float128 STATUS_PARAM
);
544 int float128_eq( float128
, float128 STATUS_PARAM
);
545 int float128_le( float128
, float128 STATUS_PARAM
);
546 int float128_lt( float128
, float128 STATUS_PARAM
);
547 int float128_eq_signaling( float128
, float128 STATUS_PARAM
);
548 int float128_le_quiet( float128
, float128 STATUS_PARAM
);
549 int float128_lt_quiet( float128
, float128 STATUS_PARAM
);
550 int float128_compare( float128
, float128 STATUS_PARAM
);
551 int float128_compare_quiet( float128
, float128 STATUS_PARAM
);
552 int float128_is_quiet_nan( float128
);
553 int float128_is_signaling_nan( float128
);
554 float128
float128_maybe_silence_nan( float128
);
555 float128
float128_scalbn( float128
, int STATUS_PARAM
);
557 INLINE float128
float128_abs(float128 a
)
559 a
.high
&= 0x7fffffffffffffffLL
;
563 INLINE float128
float128_chs(float128 a
)
565 a
.high
^= 0x8000000000000000LL
;
569 INLINE
int float128_is_infinity(float128 a
)
571 return (a
.high
& 0x7fffffffffffffffLL
) == 0x7fff000000000000LL
&& a
.low
== 0;
574 INLINE
int float128_is_neg(float128 a
)
579 INLINE
int float128_is_zero(float128 a
)
581 return (a
.high
& 0x7fffffffffffffffLL
) == 0 && a
.low
== 0;
584 INLINE
int float128_is_any_nan(float128 a
)
586 return ((a
.high
>> 48) & 0x7fff) == 0x7fff &&
587 ((a
.low
!= 0) || ((a
.high
& 0xffffffffffffLL
) != 0));
592 #else /* CONFIG_SOFTFLOAT */
594 #include "softfloat-native.h"
596 #endif /* !CONFIG_SOFTFLOAT */
598 #endif /* !SOFTFLOAT_H */