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 =============================================================================*/
38 /*----------------------------------------------------------------------------
39 | Each of the following `typedef's defines the most convenient type that holds
40 | integers of at least as many bits as specified. For example, `uint8' should
41 | be the most convenient type that can hold unsigned integers of as many as
42 | 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
43 | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
44 | to the same as `int'.
45 *----------------------------------------------------------------------------*/
47 typedef uint8_t uint8
;
51 typedef unsigned int uint32
;
52 typedef signed int int32
;
53 typedef uint64_t uint64
;
54 typedef int64_t int64
;
56 /*----------------------------------------------------------------------------
57 | Each of the following `typedef's defines a type that holds integers
58 | of _exactly_ the number of bits specified. For instance, for most
59 | implementation of C, `bits16' and `sbits16' should be `typedef'ed to
60 | `unsigned short int' and `signed short int' (or `short int'), respectively.
61 *----------------------------------------------------------------------------*/
62 typedef uint8_t bits8
;
63 typedef int8_t sbits8
;
64 typedef uint16_t bits16
;
65 typedef int16_t sbits16
;
66 typedef uint32_t bits32
;
67 typedef int32_t sbits32
;
68 typedef uint64_t bits64
;
69 typedef int64_t sbits64
;
71 #define LIT64( a ) a##LL
72 #define INLINE static inline
74 /*----------------------------------------------------------------------------
75 | The macro `FLOATX80' must be defined to enable the extended double-precision
76 | floating-point format `floatx80'. If this macro is not defined, the
77 | `floatx80' type will not be defined, and none of the functions that either
78 | input or output the `floatx80' type will be defined. The same applies to
79 | the `FLOAT128' macro and the quadruple-precision format `float128'.
80 *----------------------------------------------------------------------------*/
81 #ifdef CONFIG_SOFTFLOAT
82 /* bit exact soft float support */
86 /* native float support */
87 #if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD)
90 #endif /* !CONFIG_SOFTFLOAT */
92 #define STATUS_PARAM , float_status *status
93 #define STATUS(field) status->field
94 #define STATUS_VAR , status
96 /*----------------------------------------------------------------------------
97 | Software IEC/IEEE floating-point ordering relations
98 *----------------------------------------------------------------------------*/
100 float_relation_less
= -1,
101 float_relation_equal
= 0,
102 float_relation_greater
= 1,
103 float_relation_unordered
= 2
106 #ifdef CONFIG_SOFTFLOAT
107 /*----------------------------------------------------------------------------
108 | Software IEC/IEEE floating-point types.
109 *----------------------------------------------------------------------------*/
110 typedef uint32_t float32
;
111 typedef uint64_t float64
;
120 #ifdef WORDS_BIGENDIAN
128 /*----------------------------------------------------------------------------
129 | Software IEC/IEEE floating-point underflow tininess-detection mode.
130 *----------------------------------------------------------------------------*/
132 float_tininess_after_rounding
= 0,
133 float_tininess_before_rounding
= 1
136 /*----------------------------------------------------------------------------
137 | Software IEC/IEEE floating-point rounding mode.
138 *----------------------------------------------------------------------------*/
140 float_round_nearest_even
= 0,
141 float_round_down
= 1,
143 float_round_to_zero
= 3
146 /*----------------------------------------------------------------------------
147 | Software IEC/IEEE floating-point exception flags.
148 *----------------------------------------------------------------------------*/
150 float_flag_invalid
= 1,
151 float_flag_divbyzero
= 4,
152 float_flag_overflow
= 8,
153 float_flag_underflow
= 16,
154 float_flag_inexact
= 32
157 typedef struct float_status
{
158 signed char float_detect_tininess
;
159 signed char float_rounding_mode
;
160 signed char float_exception_flags
;
162 signed char floatx80_rounding_precision
;
166 void set_float_rounding_mode(int val STATUS_PARAM
);
167 void set_float_exception_flags(int val STATUS_PARAM
);
168 INLINE
int get_float_exception_flags(float_status
*status
)
170 return STATUS(float_exception_flags
);
173 void set_floatx80_rounding_precision(int val STATUS_PARAM
);
176 /*----------------------------------------------------------------------------
177 | Routine to raise any or all of the software IEC/IEEE floating-point
179 *----------------------------------------------------------------------------*/
180 void float_raise( int8 flags STATUS_PARAM
);
182 /*----------------------------------------------------------------------------
183 | Software IEC/IEEE integer-to-floating-point conversion routines.
184 *----------------------------------------------------------------------------*/
185 float32
int32_to_float32( int STATUS_PARAM
);
186 float64
int32_to_float64( int STATUS_PARAM
);
187 float32
uint32_to_float32( unsigned int STATUS_PARAM
);
188 float64
uint32_to_float64( unsigned int STATUS_PARAM
);
190 floatx80
int32_to_floatx80( int STATUS_PARAM
);
193 float128
int32_to_float128( int STATUS_PARAM
);
195 float32
int64_to_float32( int64_t STATUS_PARAM
);
196 float64
int64_to_float64( int64_t STATUS_PARAM
);
198 floatx80
int64_to_floatx80( int64_t STATUS_PARAM
);
201 float128
int64_to_float128( int64_t STATUS_PARAM
);
204 /*----------------------------------------------------------------------------
205 | Software IEC/IEEE single-precision conversion routines.
206 *----------------------------------------------------------------------------*/
207 int float32_to_int32( float32 STATUS_PARAM
);
208 int float32_to_int32_round_to_zero( float32 STATUS_PARAM
);
209 unsigned int float32_to_uint32( float32 STATUS_PARAM
);
210 unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM
);
211 int64_t float32_to_int64( float32 STATUS_PARAM
);
212 int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM
);
213 float64
float32_to_float64( float32 STATUS_PARAM
);
215 floatx80
float32_to_floatx80( float32 STATUS_PARAM
);
218 float128
float32_to_float128( float32 STATUS_PARAM
);
221 /*----------------------------------------------------------------------------
222 | Software IEC/IEEE single-precision operations.
223 *----------------------------------------------------------------------------*/
224 float32
float32_round_to_int( float32 STATUS_PARAM
);
225 float32
float32_add( float32
, float32 STATUS_PARAM
);
226 float32
float32_sub( float32
, float32 STATUS_PARAM
);
227 float32
float32_mul( float32
, float32 STATUS_PARAM
);
228 float32
float32_div( float32
, float32 STATUS_PARAM
);
229 float32
float32_rem( float32
, float32 STATUS_PARAM
);
230 float32
float32_sqrt( float32 STATUS_PARAM
);
231 int float32_eq( float32
, float32 STATUS_PARAM
);
232 int float32_le( float32
, float32 STATUS_PARAM
);
233 int float32_lt( float32
, float32 STATUS_PARAM
);
234 int float32_eq_signaling( float32
, float32 STATUS_PARAM
);
235 int float32_le_quiet( float32
, float32 STATUS_PARAM
);
236 int float32_lt_quiet( float32
, float32 STATUS_PARAM
);
237 int float32_compare( float32
, float32 STATUS_PARAM
);
238 int float32_compare_quiet( float32
, float32 STATUS_PARAM
);
239 int float32_is_signaling_nan( float32
);
240 int float64_is_nan( float64 a
);
242 INLINE float32
float32_abs(float32 a
)
244 return a
& 0x7fffffff;
247 INLINE float32
float32_chs(float32 a
)
249 return a
^ 0x80000000;
252 /*----------------------------------------------------------------------------
253 | Software IEC/IEEE double-precision conversion routines.
254 *----------------------------------------------------------------------------*/
255 int float64_to_int32( float64 STATUS_PARAM
);
256 int float64_to_int32_round_to_zero( float64 STATUS_PARAM
);
257 unsigned int float64_to_uint32( float64 STATUS_PARAM
);
258 unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM
);
259 int64_t float64_to_int64( float64 STATUS_PARAM
);
260 int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM
);
261 float32
float64_to_float32( float64 STATUS_PARAM
);
263 floatx80
float64_to_floatx80( float64 STATUS_PARAM
);
266 float128
float64_to_float128( float64 STATUS_PARAM
);
269 /*----------------------------------------------------------------------------
270 | Software IEC/IEEE double-precision operations.
271 *----------------------------------------------------------------------------*/
272 float64
float64_round_to_int( float64 STATUS_PARAM
);
273 float64
float64_trunc_to_int( float64 STATUS_PARAM
);
274 float64
float64_add( float64
, float64 STATUS_PARAM
);
275 float64
float64_sub( float64
, float64 STATUS_PARAM
);
276 float64
float64_mul( float64
, float64 STATUS_PARAM
);
277 float64
float64_div( float64
, float64 STATUS_PARAM
);
278 float64
float64_rem( float64
, float64 STATUS_PARAM
);
279 float64
float64_sqrt( float64 STATUS_PARAM
);
280 int float64_eq( float64
, float64 STATUS_PARAM
);
281 int float64_le( float64
, float64 STATUS_PARAM
);
282 int float64_lt( float64
, float64 STATUS_PARAM
);
283 int float64_eq_signaling( float64
, float64 STATUS_PARAM
);
284 int float64_le_quiet( float64
, float64 STATUS_PARAM
);
285 int float64_lt_quiet( float64
, float64 STATUS_PARAM
);
286 int float64_compare( float64
, float64 STATUS_PARAM
);
287 int float64_compare_quiet( float64
, float64 STATUS_PARAM
);
288 int float64_is_signaling_nan( float64
);
290 INLINE float64
float64_abs(float64 a
)
292 return a
& 0x7fffffffffffffffLL
;
295 INLINE float64
float64_chs(float64 a
)
297 return a
^ 0x8000000000000000LL
;
302 /*----------------------------------------------------------------------------
303 | Software IEC/IEEE extended double-precision conversion routines.
304 *----------------------------------------------------------------------------*/
305 int floatx80_to_int32( floatx80 STATUS_PARAM
);
306 int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM
);
307 int64_t floatx80_to_int64( floatx80 STATUS_PARAM
);
308 int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM
);
309 float32
floatx80_to_float32( floatx80 STATUS_PARAM
);
310 float64
floatx80_to_float64( floatx80 STATUS_PARAM
);
312 float128
floatx80_to_float128( floatx80 STATUS_PARAM
);
315 /*----------------------------------------------------------------------------
316 | Software IEC/IEEE extended double-precision operations.
317 *----------------------------------------------------------------------------*/
318 floatx80
floatx80_round_to_int( floatx80 STATUS_PARAM
);
319 floatx80
floatx80_add( floatx80
, floatx80 STATUS_PARAM
);
320 floatx80
floatx80_sub( floatx80
, floatx80 STATUS_PARAM
);
321 floatx80
floatx80_mul( floatx80
, floatx80 STATUS_PARAM
);
322 floatx80
floatx80_div( floatx80
, floatx80 STATUS_PARAM
);
323 floatx80
floatx80_rem( floatx80
, floatx80 STATUS_PARAM
);
324 floatx80
floatx80_sqrt( floatx80 STATUS_PARAM
);
325 int floatx80_eq( floatx80
, floatx80 STATUS_PARAM
);
326 int floatx80_le( floatx80
, floatx80 STATUS_PARAM
);
327 int floatx80_lt( floatx80
, floatx80 STATUS_PARAM
);
328 int floatx80_eq_signaling( floatx80
, floatx80 STATUS_PARAM
);
329 int floatx80_le_quiet( floatx80
, floatx80 STATUS_PARAM
);
330 int floatx80_lt_quiet( floatx80
, floatx80 STATUS_PARAM
);
331 int floatx80_is_signaling_nan( floatx80
);
333 INLINE floatx80
floatx80_abs(floatx80 a
)
339 INLINE floatx80
floatx80_chs(floatx80 a
)
349 /*----------------------------------------------------------------------------
350 | Software IEC/IEEE quadruple-precision conversion routines.
351 *----------------------------------------------------------------------------*/
352 int float128_to_int32( float128 STATUS_PARAM
);
353 int float128_to_int32_round_to_zero( float128 STATUS_PARAM
);
354 int64_t float128_to_int64( float128 STATUS_PARAM
);
355 int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM
);
356 float32
float128_to_float32( float128 STATUS_PARAM
);
357 float64
float128_to_float64( float128 STATUS_PARAM
);
359 floatx80
float128_to_floatx80( float128 STATUS_PARAM
);
362 /*----------------------------------------------------------------------------
363 | Software IEC/IEEE quadruple-precision operations.
364 *----------------------------------------------------------------------------*/
365 float128
float128_round_to_int( float128 STATUS_PARAM
);
366 float128
float128_add( float128
, float128 STATUS_PARAM
);
367 float128
float128_sub( float128
, float128 STATUS_PARAM
);
368 float128
float128_mul( float128
, float128 STATUS_PARAM
);
369 float128
float128_div( float128
, float128 STATUS_PARAM
);
370 float128
float128_rem( float128
, float128 STATUS_PARAM
);
371 float128
float128_sqrt( float128 STATUS_PARAM
);
372 int float128_eq( float128
, float128 STATUS_PARAM
);
373 int float128_le( float128
, float128 STATUS_PARAM
);
374 int float128_lt( float128
, float128 STATUS_PARAM
);
375 int float128_eq_signaling( float128
, float128 STATUS_PARAM
);
376 int float128_le_quiet( float128
, float128 STATUS_PARAM
);
377 int float128_lt_quiet( float128
, float128 STATUS_PARAM
);
378 int float128_is_signaling_nan( float128
);
380 INLINE float128
float128_abs(float128 a
)
382 a
.high
&= 0x7fffffffffffffffLL
;
386 INLINE float128
float128_chs(float128 a
)
388 a
.high
^= 0x8000000000000000LL
;
394 #else /* CONFIG_SOFTFLOAT */
396 #include "softfloat-native.h"
398 #endif /* !CONFIG_SOFTFLOAT */
400 #endif /* !SOFTFLOAT_H */