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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
75b5a697 35#if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
0475a5ca
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36#include <sunmath.h>
37#endif
38
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39#include <inttypes.h>
40#include "config.h"
41
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*----------------------------------------------------------------------------*/
750afe93 50typedef uint8_t flag;
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51typedef uint8_t uint8;
52typedef int8_t int8;
b29fe3ed 53#ifndef _AIX
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54typedef int uint16;
55typedef int int16;
b29fe3ed 56#endif
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57typedef unsigned int uint32;
58typedef signed int int32;
59typedef uint64_t uint64;
60typedef int64_t int64;
61
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*----------------------------------------------------------------------------*/
68typedef uint8_t bits8;
69typedef int8_t sbits8;
70typedef uint16_t bits16;
71typedef int16_t sbits16;
72typedef uint32_t bits32;
73typedef int32_t sbits32;
74typedef uint64_t bits64;
75typedef int64_t sbits64;
76
77#define LIT64( a ) a##LL
78#define INLINE static inline
79
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 */
89#define FLOATX80
90#define FLOAT128
91#else
92/* native float support */
71e72a19 93#if (defined(__i386__) || defined(__x86_64__)) && !defined(CONFIG_BSD)
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94#define FLOATX80
95#endif
96#endif /* !CONFIG_SOFTFLOAT */
97
98#define STATUS_PARAM , float_status *status
99#define STATUS(field) status->field
100#define STATUS_VAR , status
101
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102/*----------------------------------------------------------------------------
103| Software IEC/IEEE floating-point ordering relations
104*----------------------------------------------------------------------------*/
105enum {
106 float_relation_less = -1,
107 float_relation_equal = 0,
108 float_relation_greater = 1,
109 float_relation_unordered = 2
110};
111
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112#ifdef CONFIG_SOFTFLOAT
113/*----------------------------------------------------------------------------
114| Software IEC/IEEE floating-point types.
115*----------------------------------------------------------------------------*/
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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
122typedef struct {
123 uint32_t v;
124} float32;
125/* The cast ensures an error if the wrong type is passed. */
126#define float32_val(x) (((float32)(x)).v)
127#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
128typedef struct {
129 uint64_t v;
130} float64;
131#define float64_val(x) (((float64)(x)).v)
132#define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
133#else
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134typedef uint32_t float32;
135typedef uint64_t float64;
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136#define float32_val(x) (x)
137#define float64_val(x) (x)
138#define make_float32(x) (x)
139#define make_float64(x) (x)
140#endif
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141#ifdef FLOATX80
142typedef struct {
143 uint64_t low;
144 uint16_t high;
145} floatx80;
146#endif
147#ifdef FLOAT128
148typedef struct {
e2542fe2 149#ifdef HOST_WORDS_BIGENDIAN
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150 uint64_t high, low;
151#else
152 uint64_t low, high;
153#endif
154} float128;
155#endif
156
157/*----------------------------------------------------------------------------
158| Software IEC/IEEE floating-point underflow tininess-detection mode.
159*----------------------------------------------------------------------------*/
160enum {
161 float_tininess_after_rounding = 0,
162 float_tininess_before_rounding = 1
163};
164
165/*----------------------------------------------------------------------------
166| Software IEC/IEEE floating-point rounding mode.
167*----------------------------------------------------------------------------*/
168enum {
169 float_round_nearest_even = 0,
170 float_round_down = 1,
171 float_round_up = 2,
172 float_round_to_zero = 3
173};
174
175/*----------------------------------------------------------------------------
176| Software IEC/IEEE floating-point exception flags.
177*----------------------------------------------------------------------------*/
178enum {
179 float_flag_invalid = 1,
180 float_flag_divbyzero = 4,
181 float_flag_overflow = 8,
182 float_flag_underflow = 16,
183 float_flag_inexact = 32
184};
185
186typedef struct float_status {
187 signed char float_detect_tininess;
188 signed char float_rounding_mode;
189 signed char float_exception_flags;
190#ifdef FLOATX80
191 signed char floatx80_rounding_precision;
192#endif
fe76d976 193 flag flush_to_zero;
5c7908ed 194 flag default_nan_mode;
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195} float_status;
196
197void set_float_rounding_mode(int val STATUS_PARAM);
1d6bda35 198void set_float_exception_flags(int val STATUS_PARAM);
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199INLINE void set_flush_to_zero(flag val STATUS_PARAM)
200{
201 STATUS(flush_to_zero) = val;
202}
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203INLINE void set_default_nan_mode(flag val STATUS_PARAM)
204{
205 STATUS(default_nan_mode) = val;
206}
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207INLINE int get_float_exception_flags(float_status *status)
208{
209 return STATUS(float_exception_flags);
210}
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211#ifdef FLOATX80
212void set_floatx80_rounding_precision(int val STATUS_PARAM);
213#endif
214
215/*----------------------------------------------------------------------------
216| Routine to raise any or all of the software IEC/IEEE floating-point
217| exception flags.
218*----------------------------------------------------------------------------*/
ec530c81 219void float_raise( int8 flags STATUS_PARAM);
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220
221/*----------------------------------------------------------------------------
222| Software IEC/IEEE integer-to-floating-point conversion routines.
223*----------------------------------------------------------------------------*/
224float32 int32_to_float32( int STATUS_PARAM );
225float64 int32_to_float64( int STATUS_PARAM );
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226float32 uint32_to_float32( unsigned int STATUS_PARAM );
227float64 uint32_to_float64( unsigned int STATUS_PARAM );
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228#ifdef FLOATX80
229floatx80 int32_to_floatx80( int STATUS_PARAM );
230#endif
231#ifdef FLOAT128
232float128 int32_to_float128( int STATUS_PARAM );
233#endif
234float32 int64_to_float32( int64_t STATUS_PARAM );
75d62a58 235float32 uint64_to_float32( uint64_t STATUS_PARAM );
158142c2 236float64 int64_to_float64( int64_t STATUS_PARAM );
75d62a58 237float64 uint64_to_float64( uint64_t STATUS_PARAM );
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238#ifdef FLOATX80
239floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
240#endif
241#ifdef FLOAT128
242float128 int64_to_float128( int64_t STATUS_PARAM );
243#endif
244
60011498
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245/*----------------------------------------------------------------------------
246| Software half-precision conversion routines.
247*----------------------------------------------------------------------------*/
248bits16 float32_to_float16( float32, flag STATUS_PARAM );
249float32 float16_to_float32( bits16, flag STATUS_PARAM );
250
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251/*----------------------------------------------------------------------------
252| Software IEC/IEEE single-precision conversion routines.
253*----------------------------------------------------------------------------*/
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254int float32_to_int16_round_to_zero( float32 STATUS_PARAM );
255unsigned int float32_to_uint16_round_to_zero( float32 STATUS_PARAM );
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256int float32_to_int32( float32 STATUS_PARAM );
257int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
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258unsigned int float32_to_uint32( float32 STATUS_PARAM );
259unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
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260int64_t float32_to_int64( float32 STATUS_PARAM );
261int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
262float64 float32_to_float64( float32 STATUS_PARAM );
263#ifdef FLOATX80
264floatx80 float32_to_floatx80( float32 STATUS_PARAM );
265#endif
266#ifdef FLOAT128
267float128 float32_to_float128( float32 STATUS_PARAM );
268#endif
269
270/*----------------------------------------------------------------------------
271| Software IEC/IEEE single-precision operations.
272*----------------------------------------------------------------------------*/
273float32 float32_round_to_int( float32 STATUS_PARAM );
274float32 float32_add( float32, float32 STATUS_PARAM );
275float32 float32_sub( float32, float32 STATUS_PARAM );
276float32 float32_mul( float32, float32 STATUS_PARAM );
277float32 float32_div( float32, float32 STATUS_PARAM );
278float32 float32_rem( float32, float32 STATUS_PARAM );
279float32 float32_sqrt( float32 STATUS_PARAM );
8229c991 280float32 float32_exp2( float32 STATUS_PARAM );
374dfc33 281float32 float32_log2( float32 STATUS_PARAM );
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282int float32_eq( float32, float32 STATUS_PARAM );
283int float32_le( float32, float32 STATUS_PARAM );
284int float32_lt( float32, float32 STATUS_PARAM );
285int float32_eq_signaling( float32, float32 STATUS_PARAM );
286int float32_le_quiet( float32, float32 STATUS_PARAM );
287int float32_lt_quiet( float32, float32 STATUS_PARAM );
288int float32_compare( float32, float32 STATUS_PARAM );
289int float32_compare_quiet( float32, float32 STATUS_PARAM );
18569871 290int float32_is_quiet_nan( float32 );
750afe93 291int float32_is_signaling_nan( float32 );
b408dbde 292float32 float32_maybe_silence_nan( float32 );
9ee6e8bb 293float32 float32_scalbn( float32, int STATUS_PARAM );
158142c2 294
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295INLINE float32 float32_abs(float32 a)
296{
f090c9d4 297 return make_float32(float32_val(a) & 0x7fffffff);
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298}
299
300INLINE float32 float32_chs(float32 a)
301{
f090c9d4 302 return make_float32(float32_val(a) ^ 0x80000000);
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303}
304
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305INLINE int float32_is_infinity(float32 a)
306{
dadd71a7 307 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
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308}
309
310INLINE int float32_is_neg(float32 a)
311{
312 return float32_val(a) >> 31;
313}
314
315INLINE int float32_is_zero(float32 a)
316{
317 return (float32_val(a) & 0x7fffffff) == 0;
318}
319
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320INLINE int float32_is_any_nan(float32 a)
321{
322 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
323}
324
f090c9d4 325#define float32_zero make_float32(0)
196cfc89 326#define float32_one make_float32(0x3f800000)
8229c991 327#define float32_ln2 make_float32(0x3f317218)
f090c9d4 328
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329/*----------------------------------------------------------------------------
330| Software IEC/IEEE double-precision conversion routines.
331*----------------------------------------------------------------------------*/
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332int float64_to_int16_round_to_zero( float64 STATUS_PARAM );
333unsigned int float64_to_uint16_round_to_zero( float64 STATUS_PARAM );
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334int float64_to_int32( float64 STATUS_PARAM );
335int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
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336unsigned int float64_to_uint32( float64 STATUS_PARAM );
337unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
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338int64_t float64_to_int64( float64 STATUS_PARAM );
339int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
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340uint64_t float64_to_uint64 (float64 a STATUS_PARAM);
341uint64_t float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
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342float32 float64_to_float32( float64 STATUS_PARAM );
343#ifdef FLOATX80
344floatx80 float64_to_floatx80( float64 STATUS_PARAM );
345#endif
346#ifdef FLOAT128
347float128 float64_to_float128( float64 STATUS_PARAM );
348#endif
349
350/*----------------------------------------------------------------------------
351| Software IEC/IEEE double-precision operations.
352*----------------------------------------------------------------------------*/
353float64 float64_round_to_int( float64 STATUS_PARAM );
e6e5906b 354float64 float64_trunc_to_int( float64 STATUS_PARAM );
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355float64 float64_add( float64, float64 STATUS_PARAM );
356float64 float64_sub( float64, float64 STATUS_PARAM );
357float64 float64_mul( float64, float64 STATUS_PARAM );
358float64 float64_div( float64, float64 STATUS_PARAM );
359float64 float64_rem( float64, float64 STATUS_PARAM );
360float64 float64_sqrt( float64 STATUS_PARAM );
374dfc33 361float64 float64_log2( float64 STATUS_PARAM );
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362int float64_eq( float64, float64 STATUS_PARAM );
363int float64_le( float64, float64 STATUS_PARAM );
364int float64_lt( float64, float64 STATUS_PARAM );
365int float64_eq_signaling( float64, float64 STATUS_PARAM );
366int float64_le_quiet( float64, float64 STATUS_PARAM );
367int float64_lt_quiet( float64, float64 STATUS_PARAM );
368int float64_compare( float64, float64 STATUS_PARAM );
369int float64_compare_quiet( float64, float64 STATUS_PARAM );
18569871 370int float64_is_quiet_nan( float64 a );
750afe93 371int float64_is_signaling_nan( float64 );
b408dbde 372float64 float64_maybe_silence_nan( float64 );
9ee6e8bb 373float64 float64_scalbn( float64, int STATUS_PARAM );
158142c2 374
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375INLINE float64 float64_abs(float64 a)
376{
f090c9d4 377 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
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378}
379
380INLINE float64 float64_chs(float64 a)
381{
f090c9d4 382 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
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383}
384
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385INLINE int float64_is_infinity(float64 a)
386{
387 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
388}
389
390INLINE int float64_is_neg(float64 a)
391{
392 return float64_val(a) >> 63;
393}
394
395INLINE int float64_is_zero(float64 a)
396{
397 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
398}
399
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400INLINE int float64_is_any_nan(float64 a)
401{
402 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
403}
404
f090c9d4 405#define float64_zero make_float64(0)
196cfc89 406#define float64_one make_float64(0x3ff0000000000000LL)
8229c991 407#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
f090c9d4 408
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409#ifdef FLOATX80
410
411/*----------------------------------------------------------------------------
412| Software IEC/IEEE extended double-precision conversion routines.
413*----------------------------------------------------------------------------*/
414int floatx80_to_int32( floatx80 STATUS_PARAM );
415int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
416int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
417int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
418float32 floatx80_to_float32( floatx80 STATUS_PARAM );
419float64 floatx80_to_float64( floatx80 STATUS_PARAM );
420#ifdef FLOAT128
421float128 floatx80_to_float128( floatx80 STATUS_PARAM );
422#endif
423
424/*----------------------------------------------------------------------------
425| Software IEC/IEEE extended double-precision operations.
426*----------------------------------------------------------------------------*/
427floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
428floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
429floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
430floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
431floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
432floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
433floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
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434int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
435int floatx80_le( floatx80, floatx80 STATUS_PARAM );
436int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
437int floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
438int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
439int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
18569871 440int floatx80_is_quiet_nan( floatx80 );
750afe93 441int floatx80_is_signaling_nan( floatx80 );
9ee6e8bb 442floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
158142c2 443
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444INLINE floatx80 floatx80_abs(floatx80 a)
445{
446 a.high &= 0x7fff;
447 return a;
448}
449
450INLINE floatx80 floatx80_chs(floatx80 a)
451{
452 a.high ^= 0x8000;
453 return a;
454}
455
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456INLINE int floatx80_is_infinity(floatx80 a)
457{
458 return (a.high & 0x7fff) == 0x7fff && a.low == 0;
459}
460
461INLINE int floatx80_is_neg(floatx80 a)
462{
463 return a.high >> 15;
464}
465
466INLINE int floatx80_is_zero(floatx80 a)
467{
468 return (a.high & 0x7fff) == 0 && a.low == 0;
469}
470
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471#endif
472
473#ifdef FLOAT128
474
475/*----------------------------------------------------------------------------
476| Software IEC/IEEE quadruple-precision conversion routines.
477*----------------------------------------------------------------------------*/
478int float128_to_int32( float128 STATUS_PARAM );
479int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
480int64_t float128_to_int64( float128 STATUS_PARAM );
481int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
482float32 float128_to_float32( float128 STATUS_PARAM );
483float64 float128_to_float64( float128 STATUS_PARAM );
484#ifdef FLOATX80
485floatx80 float128_to_floatx80( float128 STATUS_PARAM );
486#endif
487
488/*----------------------------------------------------------------------------
489| Software IEC/IEEE quadruple-precision operations.
490*----------------------------------------------------------------------------*/
491float128 float128_round_to_int( float128 STATUS_PARAM );
492float128 float128_add( float128, float128 STATUS_PARAM );
493float128 float128_sub( float128, float128 STATUS_PARAM );
494float128 float128_mul( float128, float128 STATUS_PARAM );
495float128 float128_div( float128, float128 STATUS_PARAM );
496float128 float128_rem( float128, float128 STATUS_PARAM );
497float128 float128_sqrt( float128 STATUS_PARAM );
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498int float128_eq( float128, float128 STATUS_PARAM );
499int float128_le( float128, float128 STATUS_PARAM );
500int float128_lt( float128, float128 STATUS_PARAM );
501int float128_eq_signaling( float128, float128 STATUS_PARAM );
502int float128_le_quiet( float128, float128 STATUS_PARAM );
503int float128_lt_quiet( float128, float128 STATUS_PARAM );
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504int float128_compare( float128, float128 STATUS_PARAM );
505int float128_compare_quiet( float128, float128 STATUS_PARAM );
18569871 506int float128_is_quiet_nan( float128 );
750afe93 507int float128_is_signaling_nan( float128 );
9ee6e8bb 508float128 float128_scalbn( float128, int STATUS_PARAM );
158142c2 509
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510INLINE float128 float128_abs(float128 a)
511{
512 a.high &= 0x7fffffffffffffffLL;
513 return a;
514}
515
516INLINE float128 float128_chs(float128 a)
517{
518 a.high ^= 0x8000000000000000LL;
519 return a;
520}
521
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522INLINE int float128_is_infinity(float128 a)
523{
524 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
525}
526
527INLINE int float128_is_neg(float128 a)
528{
529 return a.high >> 63;
530}
531
532INLINE int float128_is_zero(float128 a)
533{
534 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
535}
536
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537#endif
538
539#else /* CONFIG_SOFTFLOAT */
540
541#include "softfloat-native.h"
542
543#endif /* !CONFIG_SOFTFLOAT */
544
545#endif /* !SOFTFLOAT_H */