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1/*============================================================================
2
3This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
4Package, Release 2b.
5
6Written by John R. Hauser. This work was made possible in part by the
7International Computer Science Institute, located at Suite 600, 1947 Center
8Street, Berkeley, California 94704. Funding was partially provided by the
9National Science Foundation under grant MIP-9311980. The original version
10of this code was written as part of a project to build a fixed-point vector
11processor in collaboration with the University of California at Berkeley,
12overseen by Profs. Nelson Morgan and John Wawrzynek. More information
13is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
14arithmetic/SoftFloat.html'.
15
16THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
17been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
18RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
19AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
20COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
21EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
22INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
23OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
24
25Derivative works are acceptable, even for commercial purposes, so long as
26(1) the source code for the derivative work includes prominent notice that
27the work is derivative, and (2) the source code includes prominent notice with
28these four paragraphs for those parts of this code that are retained.
29
30=============================================================================*/
31
32#ifndef SOFTFLOAT_H
33#define SOFTFLOAT_H
34
35#include <inttypes.h>
36#include "config.h"
37
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*----------------------------------------------------------------------------*/
750afe93 46typedef uint8_t flag;
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47typedef uint8_t uint8;
48typedef int8_t int8;
49typedef int uint16;
50typedef int int16;
51typedef unsigned int uint32;
52typedef signed int int32;
53typedef uint64_t uint64;
54typedef int64_t int64;
55
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*----------------------------------------------------------------------------*/
62typedef uint8_t bits8;
63typedef int8_t sbits8;
64typedef uint16_t bits16;
65typedef int16_t sbits16;
66typedef uint32_t bits32;
67typedef int32_t sbits32;
68typedef uint64_t bits64;
69typedef int64_t sbits64;
70
71#define LIT64( a ) a##LL
72#define INLINE static inline
73
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 */
83#define FLOATX80
84#define FLOAT128
85#else
86/* native float support */
87#if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD)
88#define FLOATX80
89#endif
90#endif /* !CONFIG_SOFTFLOAT */
91
92#define STATUS_PARAM , float_status *status
93#define STATUS(field) status->field
94#define STATUS_VAR , status
95
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96/*----------------------------------------------------------------------------
97| Software IEC/IEEE floating-point ordering relations
98*----------------------------------------------------------------------------*/
99enum {
100 float_relation_less = -1,
101 float_relation_equal = 0,
102 float_relation_greater = 1,
103 float_relation_unordered = 2
104};
105
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106#ifdef CONFIG_SOFTFLOAT
107/*----------------------------------------------------------------------------
108| Software IEC/IEEE floating-point types.
109*----------------------------------------------------------------------------*/
110typedef uint32_t float32;
111typedef uint64_t float64;
112#ifdef FLOATX80
113typedef struct {
114 uint64_t low;
115 uint16_t high;
116} floatx80;
117#endif
118#ifdef FLOAT128
119typedef struct {
120#ifdef WORDS_BIGENDIAN
121 uint64_t high, low;
122#else
123 uint64_t low, high;
124#endif
125} float128;
126#endif
127
128/*----------------------------------------------------------------------------
129| Software IEC/IEEE floating-point underflow tininess-detection mode.
130*----------------------------------------------------------------------------*/
131enum {
132 float_tininess_after_rounding = 0,
133 float_tininess_before_rounding = 1
134};
135
136/*----------------------------------------------------------------------------
137| Software IEC/IEEE floating-point rounding mode.
138*----------------------------------------------------------------------------*/
139enum {
140 float_round_nearest_even = 0,
141 float_round_down = 1,
142 float_round_up = 2,
143 float_round_to_zero = 3
144};
145
146/*----------------------------------------------------------------------------
147| Software IEC/IEEE floating-point exception flags.
148*----------------------------------------------------------------------------*/
149enum {
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
155};
156
157typedef struct float_status {
158 signed char float_detect_tininess;
159 signed char float_rounding_mode;
160 signed char float_exception_flags;
161#ifdef FLOATX80
162 signed char floatx80_rounding_precision;
163#endif
164} float_status;
165
166void set_float_rounding_mode(int val STATUS_PARAM);
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167void set_float_exception_flags(int val STATUS_PARAM);
168INLINE int get_float_exception_flags(float_status *status)
169{
170 return STATUS(float_exception_flags);
171}
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172#ifdef FLOATX80
173void set_floatx80_rounding_precision(int val STATUS_PARAM);
174#endif
175
176/*----------------------------------------------------------------------------
177| Routine to raise any or all of the software IEC/IEEE floating-point
178| exception flags.
179*----------------------------------------------------------------------------*/
ec530c81 180void float_raise( int8 flags STATUS_PARAM);
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181
182/*----------------------------------------------------------------------------
183| Software IEC/IEEE integer-to-floating-point conversion routines.
184*----------------------------------------------------------------------------*/
185float32 int32_to_float32( int STATUS_PARAM );
186float64 int32_to_float64( int STATUS_PARAM );
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187float32 uint32_to_float32( unsigned int STATUS_PARAM );
188float64 uint32_to_float64( unsigned int STATUS_PARAM );
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189#ifdef FLOATX80
190floatx80 int32_to_floatx80( int STATUS_PARAM );
191#endif
192#ifdef FLOAT128
193float128 int32_to_float128( int STATUS_PARAM );
194#endif
195float32 int64_to_float32( int64_t STATUS_PARAM );
196float64 int64_to_float64( int64_t STATUS_PARAM );
197#ifdef FLOATX80
198floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
199#endif
200#ifdef FLOAT128
201float128 int64_to_float128( int64_t STATUS_PARAM );
202#endif
203
204/*----------------------------------------------------------------------------
205| Software IEC/IEEE single-precision conversion routines.
206*----------------------------------------------------------------------------*/
207int float32_to_int32( float32 STATUS_PARAM );
208int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
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209unsigned int float32_to_uint32( float32 STATUS_PARAM );
210unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
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211int64_t float32_to_int64( float32 STATUS_PARAM );
212int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
213float64 float32_to_float64( float32 STATUS_PARAM );
214#ifdef FLOATX80
215floatx80 float32_to_floatx80( float32 STATUS_PARAM );
216#endif
217#ifdef FLOAT128
218float128 float32_to_float128( float32 STATUS_PARAM );
219#endif
220
221/*----------------------------------------------------------------------------
222| Software IEC/IEEE single-precision operations.
223*----------------------------------------------------------------------------*/
224float32 float32_round_to_int( float32 STATUS_PARAM );
225float32 float32_add( float32, float32 STATUS_PARAM );
226float32 float32_sub( float32, float32 STATUS_PARAM );
227float32 float32_mul( float32, float32 STATUS_PARAM );
228float32 float32_div( float32, float32 STATUS_PARAM );
229float32 float32_rem( float32, float32 STATUS_PARAM );
230float32 float32_sqrt( float32 STATUS_PARAM );
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231int float32_eq( float32, float32 STATUS_PARAM );
232int float32_le( float32, float32 STATUS_PARAM );
233int float32_lt( float32, float32 STATUS_PARAM );
234int float32_eq_signaling( float32, float32 STATUS_PARAM );
235int float32_le_quiet( float32, float32 STATUS_PARAM );
236int float32_lt_quiet( float32, float32 STATUS_PARAM );
237int float32_compare( float32, float32 STATUS_PARAM );
238int float32_compare_quiet( float32, float32 STATUS_PARAM );
239int float32_is_signaling_nan( float32 );
240int float64_is_nan( float64 a );
158142c2 241
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242INLINE float32 float32_abs(float32 a)
243{
244 return a & 0x7fffffff;
245}
246
247INLINE float32 float32_chs(float32 a)
248{
249 return a ^ 0x80000000;
250}
251
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252/*----------------------------------------------------------------------------
253| Software IEC/IEEE double-precision conversion routines.
254*----------------------------------------------------------------------------*/
255int float64_to_int32( float64 STATUS_PARAM );
256int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
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257unsigned int float64_to_uint32( float64 STATUS_PARAM );
258unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
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259int64_t float64_to_int64( float64 STATUS_PARAM );
260int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
261float32 float64_to_float32( float64 STATUS_PARAM );
262#ifdef FLOATX80
263floatx80 float64_to_floatx80( float64 STATUS_PARAM );
264#endif
265#ifdef FLOAT128
266float128 float64_to_float128( float64 STATUS_PARAM );
267#endif
268
269/*----------------------------------------------------------------------------
270| Software IEC/IEEE double-precision operations.
271*----------------------------------------------------------------------------*/
272float64 float64_round_to_int( float64 STATUS_PARAM );
e6e5906b 273float64 float64_trunc_to_int( float64 STATUS_PARAM );
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274float64 float64_add( float64, float64 STATUS_PARAM );
275float64 float64_sub( float64, float64 STATUS_PARAM );
276float64 float64_mul( float64, float64 STATUS_PARAM );
277float64 float64_div( float64, float64 STATUS_PARAM );
278float64 float64_rem( float64, float64 STATUS_PARAM );
279float64 float64_sqrt( float64 STATUS_PARAM );
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280int float64_eq( float64, float64 STATUS_PARAM );
281int float64_le( float64, float64 STATUS_PARAM );
282int float64_lt( float64, float64 STATUS_PARAM );
283int float64_eq_signaling( float64, float64 STATUS_PARAM );
284int float64_le_quiet( float64, float64 STATUS_PARAM );
285int float64_lt_quiet( float64, float64 STATUS_PARAM );
286int float64_compare( float64, float64 STATUS_PARAM );
287int float64_compare_quiet( float64, float64 STATUS_PARAM );
288int float64_is_signaling_nan( float64 );
158142c2 289
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290INLINE float64 float64_abs(float64 a)
291{
292 return a & 0x7fffffffffffffffLL;
293}
294
295INLINE float64 float64_chs(float64 a)
296{
297 return a ^ 0x8000000000000000LL;
298}
299
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300#ifdef FLOATX80
301
302/*----------------------------------------------------------------------------
303| Software IEC/IEEE extended double-precision conversion routines.
304*----------------------------------------------------------------------------*/
305int floatx80_to_int32( floatx80 STATUS_PARAM );
306int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
307int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
308int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
309float32 floatx80_to_float32( floatx80 STATUS_PARAM );
310float64 floatx80_to_float64( floatx80 STATUS_PARAM );
311#ifdef FLOAT128
312float128 floatx80_to_float128( floatx80 STATUS_PARAM );
313#endif
314
315/*----------------------------------------------------------------------------
316| Software IEC/IEEE extended double-precision operations.
317*----------------------------------------------------------------------------*/
318floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
319floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
320floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
321floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
322floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
323floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
324floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
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325int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
326int floatx80_le( floatx80, floatx80 STATUS_PARAM );
327int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
328int floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
329int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
330int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
331int floatx80_is_signaling_nan( floatx80 );
158142c2 332
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333INLINE floatx80 floatx80_abs(floatx80 a)
334{
335 a.high &= 0x7fff;
336 return a;
337}
338
339INLINE floatx80 floatx80_chs(floatx80 a)
340{
341 a.high ^= 0x8000;
342 return a;
343}
344
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345#endif
346
347#ifdef FLOAT128
348
349/*----------------------------------------------------------------------------
350| Software IEC/IEEE quadruple-precision conversion routines.
351*----------------------------------------------------------------------------*/
352int float128_to_int32( float128 STATUS_PARAM );
353int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
354int64_t float128_to_int64( float128 STATUS_PARAM );
355int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
356float32 float128_to_float32( float128 STATUS_PARAM );
357float64 float128_to_float64( float128 STATUS_PARAM );
358#ifdef FLOATX80
359floatx80 float128_to_floatx80( float128 STATUS_PARAM );
360#endif
361
362/*----------------------------------------------------------------------------
363| Software IEC/IEEE quadruple-precision operations.
364*----------------------------------------------------------------------------*/
365float128 float128_round_to_int( float128 STATUS_PARAM );
366float128 float128_add( float128, float128 STATUS_PARAM );
367float128 float128_sub( float128, float128 STATUS_PARAM );
368float128 float128_mul( float128, float128 STATUS_PARAM );
369float128 float128_div( float128, float128 STATUS_PARAM );
370float128 float128_rem( float128, float128 STATUS_PARAM );
371float128 float128_sqrt( float128 STATUS_PARAM );
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372int float128_eq( float128, float128 STATUS_PARAM );
373int float128_le( float128, float128 STATUS_PARAM );
374int float128_lt( float128, float128 STATUS_PARAM );
375int float128_eq_signaling( float128, float128 STATUS_PARAM );
376int float128_le_quiet( float128, float128 STATUS_PARAM );
377int float128_lt_quiet( float128, float128 STATUS_PARAM );
378int float128_is_signaling_nan( float128 );
158142c2 379
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380INLINE float128 float128_abs(float128 a)
381{
382 a.high &= 0x7fffffffffffffffLL;
383 return a;
384}
385
386INLINE float128 float128_chs(float128 a)
387{
388 a.high ^= 0x8000000000000000LL;
389 return a;
390}
391
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392#endif
393
394#else /* CONFIG_SOFTFLOAT */
395
396#include "softfloat-native.h"
397
398#endif /* !CONFIG_SOFTFLOAT */
399
400#endif /* !SOFTFLOAT_H */
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