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38#ifndef SOFTFLOAT_H
39#define SOFTFLOAT_H
40
41#if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
42#include <sunmath.h>
43#endif
44
45#include <inttypes.h>
46#include "config-host.h"
47#include "qemu/osdep.h"
48
49
50
51
52
53
54
55
56
57typedef uint8_t flag;
58typedef uint8_t uint8;
59typedef int8_t int8;
60typedef unsigned int uint32;
61typedef signed int int32;
62typedef uint64_t uint64;
63typedef int64_t int64;
64
65#define LIT64( a ) a##LL
66#define INLINE static inline
67
68#define STATUS_PARAM , float_status *status
69#define STATUS(field) status->field
70#define STATUS_VAR , status
71
72
73
74
75enum {
76 float_relation_less = -1,
77 float_relation_equal = 0,
78 float_relation_greater = 1,
79 float_relation_unordered = 2
80};
81
82
83
84
85
86
87
88
89
90#ifdef USE_SOFTFLOAT_STRUCT_TYPES
91typedef struct {
92 uint16_t v;
93} float16;
94#define float16_val(x) (((float16)(x)).v)
95#define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
96#define const_float16(x) { x }
97typedef struct {
98 uint32_t v;
99} float32;
100
101#define float32_val(x) (((float32)(x)).v)
102#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
103#define const_float32(x) { x }
104typedef struct {
105 uint64_t v;
106} float64;
107#define float64_val(x) (((float64)(x)).v)
108#define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
109#define const_float64(x) { x }
110#else
111typedef uint16_t float16;
112typedef uint32_t float32;
113typedef uint64_t float64;
114#define float16_val(x) (x)
115#define float32_val(x) (x)
116#define float64_val(x) (x)
117#define make_float16(x) (x)
118#define make_float32(x) (x)
119#define make_float64(x) (x)
120#define const_float16(x) (x)
121#define const_float32(x) (x)
122#define const_float64(x) (x)
123#endif
124typedef struct {
125 uint64_t low;
126 uint16_t high;
127} floatx80;
128#define make_floatx80(exp, mant) ((floatx80) { mant, exp })
129#define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
130typedef struct {
131#ifdef HOST_WORDS_BIGENDIAN
132 uint64_t high, low;
133#else
134 uint64_t low, high;
135#endif
136} float128;
137#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
138#define make_float128_init(high_, low_) { .high = high_, .low = low_ }
139
140
141
142
143enum {
144 float_tininess_after_rounding = 0,
145 float_tininess_before_rounding = 1
146};
147
148
149
150
151enum {
152 float_round_nearest_even = 0,
153 float_round_down = 1,
154 float_round_up = 2,
155 float_round_to_zero = 3
156};
157
158
159
160
161enum {
162 float_flag_invalid = 1,
163 float_flag_divbyzero = 4,
164 float_flag_overflow = 8,
165 float_flag_underflow = 16,
166 float_flag_inexact = 32,
167 float_flag_input_denormal = 64,
168 float_flag_output_denormal = 128
169};
170
171typedef struct float_status {
172 signed char float_detect_tininess;
173 signed char float_rounding_mode;
174 signed char float_exception_flags;
175 signed char floatx80_rounding_precision;
176
177 flag flush_to_zero;
178
179 flag flush_inputs_to_zero;
180 flag default_nan_mode;
181} float_status;
182
183void set_float_rounding_mode(int val STATUS_PARAM);
184void set_float_exception_flags(int val STATUS_PARAM);
185INLINE void set_float_detect_tininess(int val STATUS_PARAM)
186{
187 STATUS(float_detect_tininess) = val;
188}
189INLINE void set_flush_to_zero(flag val STATUS_PARAM)
190{
191 STATUS(flush_to_zero) = val;
192}
193INLINE void set_flush_inputs_to_zero(flag val STATUS_PARAM)
194{
195 STATUS(flush_inputs_to_zero) = val;
196}
197INLINE void set_default_nan_mode(flag val STATUS_PARAM)
198{
199 STATUS(default_nan_mode) = val;
200}
201INLINE int get_float_exception_flags(float_status *status)
202{
203 return STATUS(float_exception_flags);
204}
205void set_floatx80_rounding_precision(int val STATUS_PARAM);
206
207
208
209
210
211void float_raise( int8 flags STATUS_PARAM);
212
213
214
215
216
217
218
219enum {
220 float_muladd_negate_c = 1,
221 float_muladd_negate_product = 2,
222 float_muladd_negate_result = 4,
223};
224
225
226
227
228float32 int32_to_float32( int32 STATUS_PARAM );
229float64 int32_to_float64( int32 STATUS_PARAM );
230float32 uint32_to_float32( uint32 STATUS_PARAM );
231float64 uint32_to_float64( uint32 STATUS_PARAM );
232floatx80 int32_to_floatx80( int32 STATUS_PARAM );
233float128 int32_to_float128( int32 STATUS_PARAM );
234float32 int64_to_float32( int64 STATUS_PARAM );
235float32 uint64_to_float32( uint64 STATUS_PARAM );
236float64 int64_to_float64( int64 STATUS_PARAM );
237float64 uint64_to_float64( uint64 STATUS_PARAM );
238floatx80 int64_to_floatx80( int64 STATUS_PARAM );
239float128 int64_to_float128( int64 STATUS_PARAM );
240float128 uint64_to_float128( uint64 STATUS_PARAM );
241
242
243
244
245float16 float32_to_float16( float32, flag STATUS_PARAM );
246float32 float16_to_float32( float16, flag STATUS_PARAM );
247
248
249
250
251int float16_is_quiet_nan( float16 );
252int float16_is_signaling_nan( float16 );
253float16 float16_maybe_silence_nan( float16 );
254
255INLINE int float16_is_any_nan(float16 a)
256{
257 return ((float16_val(a) & ~0x8000) > 0x7c00);
258}
259
260
261
262
263extern const float16 float16_default_nan;
264
265
266
267
268int_fast16_t float32_to_int16_round_to_zero(float32 STATUS_PARAM);
269uint_fast16_t float32_to_uint16_round_to_zero(float32 STATUS_PARAM);
270int32 float32_to_int32( float32 STATUS_PARAM );
271int32 float32_to_int32_round_to_zero( float32 STATUS_PARAM );
272uint32 float32_to_uint32( float32 STATUS_PARAM );
273uint32 float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
274int64 float32_to_int64( float32 STATUS_PARAM );
275int64 float32_to_int64_round_to_zero( float32 STATUS_PARAM );
276float64 float32_to_float64( float32 STATUS_PARAM );
277floatx80 float32_to_floatx80( float32 STATUS_PARAM );
278float128 float32_to_float128( float32 STATUS_PARAM );
279
280
281
282
283float32 float32_round_to_int( float32 STATUS_PARAM );
284float32 float32_add( float32, float32 STATUS_PARAM );
285float32 float32_sub( float32, float32 STATUS_PARAM );
286float32 float32_mul( float32, float32 STATUS_PARAM );
287float32 float32_div( float32, float32 STATUS_PARAM );
288float32 float32_rem( float32, float32 STATUS_PARAM );
289float32 float32_muladd(float32, float32, float32, int STATUS_PARAM);
290float32 float32_sqrt( float32 STATUS_PARAM );
291float32 float32_exp2( float32 STATUS_PARAM );
292float32 float32_log2( float32 STATUS_PARAM );
293int float32_eq( float32, float32 STATUS_PARAM );
294int float32_le( float32, float32 STATUS_PARAM );
295int float32_lt( float32, float32 STATUS_PARAM );
296int float32_unordered( float32, float32 STATUS_PARAM );
297int float32_eq_quiet( float32, float32 STATUS_PARAM );
298int float32_le_quiet( float32, float32 STATUS_PARAM );
299int float32_lt_quiet( float32, float32 STATUS_PARAM );
300int float32_unordered_quiet( float32, float32 STATUS_PARAM );
301int float32_compare( float32, float32 STATUS_PARAM );
302int float32_compare_quiet( float32, float32 STATUS_PARAM );
303float32 float32_min(float32, float32 STATUS_PARAM);
304float32 float32_max(float32, float32 STATUS_PARAM);
305int float32_is_quiet_nan( float32 );
306int float32_is_signaling_nan( float32 );
307float32 float32_maybe_silence_nan( float32 );
308float32 float32_scalbn( float32, int STATUS_PARAM );
309
310INLINE float32 float32_abs(float32 a)
311{
312
313
314
315 return make_float32(float32_val(a) & 0x7fffffff);
316}
317
318INLINE float32 float32_chs(float32 a)
319{
320
321
322
323 return make_float32(float32_val(a) ^ 0x80000000);
324}
325
326INLINE int float32_is_infinity(float32 a)
327{
328 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
329}
330
331INLINE int float32_is_neg(float32 a)
332{
333 return float32_val(a) >> 31;
334}
335
336INLINE int float32_is_zero(float32 a)
337{
338 return (float32_val(a) & 0x7fffffff) == 0;
339}
340
341INLINE int float32_is_any_nan(float32 a)
342{
343 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
344}
345
346INLINE int float32_is_zero_or_denormal(float32 a)
347{
348 return (float32_val(a) & 0x7f800000) == 0;
349}
350
351INLINE float32 float32_set_sign(float32 a, int sign)
352{
353 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
354}
355
356#define float32_zero make_float32(0)
357#define float32_one make_float32(0x3f800000)
358#define float32_ln2 make_float32(0x3f317218)
359#define float32_pi make_float32(0x40490fdb)
360#define float32_half make_float32(0x3f000000)
361#define float32_infinity make_float32(0x7f800000)
362
363
364
365
366
367extern const float32 float32_default_nan;
368
369
370
371
372int_fast16_t float64_to_int16_round_to_zero(float64 STATUS_PARAM);
373uint_fast16_t float64_to_uint16_round_to_zero(float64 STATUS_PARAM);
374int32 float64_to_int32( float64 STATUS_PARAM );
375int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
376uint32 float64_to_uint32( float64 STATUS_PARAM );
377uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
378int64 float64_to_int64( float64 STATUS_PARAM );
379int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
380uint64 float64_to_uint64 (float64 a STATUS_PARAM);
381uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
382float32 float64_to_float32( float64 STATUS_PARAM );
383floatx80 float64_to_floatx80( float64 STATUS_PARAM );
384float128 float64_to_float128( float64 STATUS_PARAM );
385
386
387
388
389float64 float64_round_to_int( float64 STATUS_PARAM );
390float64 float64_trunc_to_int( float64 STATUS_PARAM );
391float64 float64_add( float64, float64 STATUS_PARAM );
392float64 float64_sub( float64, float64 STATUS_PARAM );
393float64 float64_mul( float64, float64 STATUS_PARAM );
394float64 float64_div( float64, float64 STATUS_PARAM );
395float64 float64_rem( float64, float64 STATUS_PARAM );
396float64 float64_muladd(float64, float64, float64, int STATUS_PARAM);
397float64 float64_sqrt( float64 STATUS_PARAM );
398float64 float64_log2( float64 STATUS_PARAM );
399int float64_eq( float64, float64 STATUS_PARAM );
400int float64_le( float64, float64 STATUS_PARAM );
401int float64_lt( float64, float64 STATUS_PARAM );
402int float64_unordered( float64, float64 STATUS_PARAM );
403int float64_eq_quiet( float64, float64 STATUS_PARAM );
404int float64_le_quiet( float64, float64 STATUS_PARAM );
405int float64_lt_quiet( float64, float64 STATUS_PARAM );
406int float64_unordered_quiet( float64, float64 STATUS_PARAM );
407int float64_compare( float64, float64 STATUS_PARAM );
408int float64_compare_quiet( float64, float64 STATUS_PARAM );
409float64 float64_min(float64, float64 STATUS_PARAM);
410float64 float64_max(float64, float64 STATUS_PARAM);
411int float64_is_quiet_nan( float64 a );
412int float64_is_signaling_nan( float64 );
413float64 float64_maybe_silence_nan( float64 );
414float64 float64_scalbn( float64, int STATUS_PARAM );
415
416INLINE float64 float64_abs(float64 a)
417{
418
419
420
421 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
422}
423
424INLINE float64 float64_chs(float64 a)
425{
426
427
428
429 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
430}
431
432INLINE int float64_is_infinity(float64 a)
433{
434 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
435}
436
437INLINE int float64_is_neg(float64 a)
438{
439 return float64_val(a) >> 63;
440}
441
442INLINE int float64_is_zero(float64 a)
443{
444 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
445}
446
447INLINE int float64_is_any_nan(float64 a)
448{
449 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
450}
451
452INLINE int float64_is_zero_or_denormal(float64 a)
453{
454 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
455}
456
457INLINE float64 float64_set_sign(float64 a, int sign)
458{
459 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
460 | ((int64_t)sign << 63));
461}
462
463#define float64_zero make_float64(0)
464#define float64_one make_float64(0x3ff0000000000000LL)
465#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
466#define float64_pi make_float64(0x400921fb54442d18LL)
467#define float64_half make_float64(0x3fe0000000000000LL)
468#define float64_infinity make_float64(0x7ff0000000000000LL)
469
470
471
472
473extern const float64 float64_default_nan;
474
475
476
477
478int32 floatx80_to_int32( floatx80 STATUS_PARAM );
479int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
480int64 floatx80_to_int64( floatx80 STATUS_PARAM );
481int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
482float32 floatx80_to_float32( floatx80 STATUS_PARAM );
483float64 floatx80_to_float64( floatx80 STATUS_PARAM );
484float128 floatx80_to_float128( floatx80 STATUS_PARAM );
485
486
487
488
489floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
490floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
491floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
492floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
493floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
494floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
495floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
496int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
497int floatx80_le( floatx80, floatx80 STATUS_PARAM );
498int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
499int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
500int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
501int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
502int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
503int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
504int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
505int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
506int floatx80_is_quiet_nan( floatx80 );
507int floatx80_is_signaling_nan( floatx80 );
508floatx80 floatx80_maybe_silence_nan( floatx80 );
509floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
510
511INLINE floatx80 floatx80_abs(floatx80 a)
512{
513 a.high &= 0x7fff;
514 return a;
515}
516
517INLINE floatx80 floatx80_chs(floatx80 a)
518{
519 a.high ^= 0x8000;
520 return a;
521}
522
523INLINE int floatx80_is_infinity(floatx80 a)
524{
525 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
526}
527
528INLINE int floatx80_is_neg(floatx80 a)
529{
530 return a.high >> 15;
531}
532
533INLINE int floatx80_is_zero(floatx80 a)
534{
535 return (a.high & 0x7fff) == 0 && a.low == 0;
536}
537
538INLINE int floatx80_is_zero_or_denormal(floatx80 a)
539{
540 return (a.high & 0x7fff) == 0;
541}
542
543INLINE int floatx80_is_any_nan(floatx80 a)
544{
545 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
546}
547
548#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
549#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
550#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
551#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
552#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
553#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
554
555
556
557
558extern const floatx80 floatx80_default_nan;
559
560
561
562
563int32 float128_to_int32( float128 STATUS_PARAM );
564int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
565int64 float128_to_int64( float128 STATUS_PARAM );
566int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
567float32 float128_to_float32( float128 STATUS_PARAM );
568float64 float128_to_float64( float128 STATUS_PARAM );
569floatx80 float128_to_floatx80( float128 STATUS_PARAM );
570
571
572
573
574float128 float128_round_to_int( float128 STATUS_PARAM );
575float128 float128_add( float128, float128 STATUS_PARAM );
576float128 float128_sub( float128, float128 STATUS_PARAM );
577float128 float128_mul( float128, float128 STATUS_PARAM );
578float128 float128_div( float128, float128 STATUS_PARAM );
579float128 float128_rem( float128, float128 STATUS_PARAM );
580float128 float128_sqrt( float128 STATUS_PARAM );
581int float128_eq( float128, float128 STATUS_PARAM );
582int float128_le( float128, float128 STATUS_PARAM );
583int float128_lt( float128, float128 STATUS_PARAM );
584int float128_unordered( float128, float128 STATUS_PARAM );
585int float128_eq_quiet( float128, float128 STATUS_PARAM );
586int float128_le_quiet( float128, float128 STATUS_PARAM );
587int float128_lt_quiet( float128, float128 STATUS_PARAM );
588int float128_unordered_quiet( float128, float128 STATUS_PARAM );
589int float128_compare( float128, float128 STATUS_PARAM );
590int float128_compare_quiet( float128, float128 STATUS_PARAM );
591int float128_is_quiet_nan( float128 );
592int float128_is_signaling_nan( float128 );
593float128 float128_maybe_silence_nan( float128 );
594float128 float128_scalbn( float128, int STATUS_PARAM );
595
596INLINE float128 float128_abs(float128 a)
597{
598 a.high &= 0x7fffffffffffffffLL;
599 return a;
600}
601
602INLINE float128 float128_chs(float128 a)
603{
604 a.high ^= 0x8000000000000000LL;
605 return a;
606}
607
608INLINE int float128_is_infinity(float128 a)
609{
610 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
611}
612
613INLINE int float128_is_neg(float128 a)
614{
615 return a.high >> 63;
616}
617
618INLINE int float128_is_zero(float128 a)
619{
620 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
621}
622
623INLINE int float128_is_zero_or_denormal(float128 a)
624{
625 return (a.high & 0x7fff000000000000LL) == 0;
626}
627
628INLINE int float128_is_any_nan(float128 a)
629{
630 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
631 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
632}
633
634#define float128_zero make_float128(0, 0)
635
636
637
638
639extern const float128 float128_default_nan;
640
641#endif
642