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82#ifndef SOFTFLOAT_H
83#define SOFTFLOAT_H
84
85
86
87
88
89typedef uint8_t flag;
90
91#define LIT64( a ) a##LL
92
93
94
95
96enum {
97 float_relation_less = -1,
98 float_relation_equal = 0,
99 float_relation_greater = 1,
100 float_relation_unordered = 2
101};
102
103
104
105
106
107
108
109
110
111#ifdef USE_SOFTFLOAT_STRUCT_TYPES
112typedef struct {
113 uint16_t v;
114} float16;
115#define float16_val(x) (((float16)(x)).v)
116#define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
117#define const_float16(x) { x }
118typedef struct {
119 uint32_t v;
120} float32;
121
122#define float32_val(x) (((float32)(x)).v)
123#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
124#define const_float32(x) { x }
125typedef struct {
126 uint64_t v;
127} float64;
128#define float64_val(x) (((float64)(x)).v)
129#define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
130#define const_float64(x) { x }
131#else
132typedef uint16_t float16;
133typedef uint32_t float32;
134typedef uint64_t float64;
135#define float16_val(x) (x)
136#define float32_val(x) (x)
137#define float64_val(x) (x)
138#define make_float16(x) (x)
139#define make_float32(x) (x)
140#define make_float64(x) (x)
141#define const_float16(x) (x)
142#define const_float32(x) (x)
143#define const_float64(x) (x)
144#endif
145typedef struct {
146 uint64_t low;
147 uint16_t high;
148} floatx80;
149#define make_floatx80(exp, mant) ((floatx80) { mant, exp })
150#define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
151typedef struct {
152#ifdef HOST_WORDS_BIGENDIAN
153 uint64_t high, low;
154#else
155 uint64_t low, high;
156#endif
157} float128;
158#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
159#define make_float128_init(high_, low_) { .high = high_, .low = low_ }
160
161
162
163
164enum {
165 float_tininess_after_rounding = 0,
166 float_tininess_before_rounding = 1
167};
168
169
170
171
172enum {
173 float_round_nearest_even = 0,
174 float_round_down = 1,
175 float_round_up = 2,
176 float_round_to_zero = 3,
177 float_round_ties_away = 4,
178
179 float_round_to_odd = 5,
180};
181
182
183
184
185enum {
186 float_flag_invalid = 1,
187 float_flag_divbyzero = 4,
188 float_flag_overflow = 8,
189 float_flag_underflow = 16,
190 float_flag_inexact = 32,
191 float_flag_input_denormal = 64,
192 float_flag_output_denormal = 128
193};
194
195typedef struct float_status {
196 signed char float_detect_tininess;
197 signed char float_rounding_mode;
198 uint8_t float_exception_flags;
199 signed char floatx80_rounding_precision;
200
201 flag flush_to_zero;
202
203 flag flush_inputs_to_zero;
204 flag default_nan_mode;
205 flag snan_bit_is_one;
206} float_status;
207
208static inline void set_float_detect_tininess(int val, float_status *status)
209{
210 status->float_detect_tininess = val;
211}
212static inline void set_float_rounding_mode(int val, float_status *status)
213{
214 status->float_rounding_mode = val;
215}
216static inline void set_float_exception_flags(int val, float_status *status)
217{
218 status->float_exception_flags = val;
219}
220static inline void set_floatx80_rounding_precision(int val,
221 float_status *status)
222{
223 status->floatx80_rounding_precision = val;
224}
225static inline void set_flush_to_zero(flag val, float_status *status)
226{
227 status->flush_to_zero = val;
228}
229static inline void set_flush_inputs_to_zero(flag val, float_status *status)
230{
231 status->flush_inputs_to_zero = val;
232}
233static inline void set_default_nan_mode(flag val, float_status *status)
234{
235 status->default_nan_mode = val;
236}
237static inline void set_snan_bit_is_one(flag val, float_status *status)
238{
239 status->snan_bit_is_one = val;
240}
241static inline int get_float_detect_tininess(float_status *status)
242{
243 return status->float_detect_tininess;
244}
245static inline int get_float_rounding_mode(float_status *status)
246{
247 return status->float_rounding_mode;
248}
249static inline int get_float_exception_flags(float_status *status)
250{
251 return status->float_exception_flags;
252}
253static inline int get_floatx80_rounding_precision(float_status *status)
254{
255 return status->floatx80_rounding_precision;
256}
257static inline flag get_flush_to_zero(float_status *status)
258{
259 return status->flush_to_zero;
260}
261static inline flag get_flush_inputs_to_zero(float_status *status)
262{
263 return status->flush_inputs_to_zero;
264}
265static inline flag get_default_nan_mode(float_status *status)
266{
267 return status->default_nan_mode;
268}
269
270
271
272
273
274void float_raise(uint8_t flags, float_status *status);
275
276
277
278
279
280float32 float32_squash_input_denormal(float32 a, float_status *status);
281float64 float64_squash_input_denormal(float64 a, float_status *status);
282
283
284
285
286
287
288
289
290
291enum {
292 float_muladd_negate_c = 1,
293 float_muladd_negate_product = 2,
294 float_muladd_negate_result = 4,
295 float_muladd_halve_result = 8,
296};
297
298
299
300
301float32 int32_to_float32(int32_t, float_status *status);
302float64 int32_to_float64(int32_t, float_status *status);
303float32 uint32_to_float32(uint32_t, float_status *status);
304float64 uint32_to_float64(uint32_t, float_status *status);
305floatx80 int32_to_floatx80(int32_t, float_status *status);
306float128 int32_to_float128(int32_t, float_status *status);
307float32 int64_to_float32(int64_t, float_status *status);
308float64 int64_to_float64(int64_t, float_status *status);
309floatx80 int64_to_floatx80(int64_t, float_status *status);
310float128 int64_to_float128(int64_t, float_status *status);
311float32 uint64_to_float32(uint64_t, float_status *status);
312float64 uint64_to_float64(uint64_t, float_status *status);
313float128 uint64_to_float128(uint64_t, float_status *status);
314
315
316static inline float32 int16_to_float32(int16_t v, float_status *status)
317{
318 return int32_to_float32(v, status);
319}
320
321static inline float32 uint16_to_float32(uint16_t v, float_status *status)
322{
323 return uint32_to_float32(v, status);
324}
325
326static inline float64 int16_to_float64(int16_t v, float_status *status)
327{
328 return int32_to_float64(v, status);
329}
330
331static inline float64 uint16_to_float64(uint16_t v, float_status *status)
332{
333 return uint32_to_float64(v, status);
334}
335
336
337
338
339float16 float32_to_float16(float32, flag, float_status *status);
340float32 float16_to_float32(float16, flag, float_status *status);
341float16 float64_to_float16(float64 a, flag ieee, float_status *status);
342float64 float16_to_float64(float16 a, flag ieee, float_status *status);
343
344
345
346
347int float16_is_quiet_nan(float16, float_status *status);
348int float16_is_signaling_nan(float16, float_status *status);
349float16 float16_maybe_silence_nan(float16, float_status *status);
350
351static inline int float16_is_any_nan(float16 a)
352{
353 return ((float16_val(a) & ~0x8000) > 0x7c00);
354}
355
356static inline int float16_is_neg(float16 a)
357{
358 return float16_val(a) >> 15;
359}
360
361static inline int float16_is_infinity(float16 a)
362{
363 return (float16_val(a) & 0x7fff) == 0x7c00;
364}
365
366static inline int float16_is_zero(float16 a)
367{
368 return (float16_val(a) & 0x7fff) == 0;
369}
370
371static inline int float16_is_zero_or_denormal(float16 a)
372{
373 return (float16_val(a) & 0x7c00) == 0;
374}
375
376
377
378
379float16 float16_default_nan(float_status *status);
380
381
382
383
384int16_t float32_to_int16(float32, float_status *status);
385uint16_t float32_to_uint16(float32, float_status *status);
386int16_t float32_to_int16_round_to_zero(float32, float_status *status);
387uint16_t float32_to_uint16_round_to_zero(float32, float_status *status);
388int32_t float32_to_int32(float32, float_status *status);
389int32_t float32_to_int32_round_to_zero(float32, float_status *status);
390uint32_t float32_to_uint32(float32, float_status *status);
391uint32_t float32_to_uint32_round_to_zero(float32, float_status *status);
392int64_t float32_to_int64(float32, float_status *status);
393uint64_t float32_to_uint64(float32, float_status *status);
394uint64_t float32_to_uint64_round_to_zero(float32, float_status *status);
395int64_t float32_to_int64_round_to_zero(float32, float_status *status);
396float64 float32_to_float64(float32, float_status *status);
397floatx80 float32_to_floatx80(float32, float_status *status);
398float128 float32_to_float128(float32, float_status *status);
399
400
401
402
403float32 float32_round_to_int(float32, float_status *status);
404float32 float32_add(float32, float32, float_status *status);
405float32 float32_sub(float32, float32, float_status *status);
406float32 float32_mul(float32, float32, float_status *status);
407float32 float32_div(float32, float32, float_status *status);
408float32 float32_rem(float32, float32, float_status *status);
409float32 float32_muladd(float32, float32, float32, int, float_status *status);
410float32 float32_sqrt(float32, float_status *status);
411float32 float32_exp2(float32, float_status *status);
412float32 float32_log2(float32, float_status *status);
413int float32_eq(float32, float32, float_status *status);
414int float32_le(float32, float32, float_status *status);
415int float32_lt(float32, float32, float_status *status);
416int float32_unordered(float32, float32, float_status *status);
417int float32_eq_quiet(float32, float32, float_status *status);
418int float32_le_quiet(float32, float32, float_status *status);
419int float32_lt_quiet(float32, float32, float_status *status);
420int float32_unordered_quiet(float32, float32, float_status *status);
421int float32_compare(float32, float32, float_status *status);
422int float32_compare_quiet(float32, float32, float_status *status);
423float32 float32_min(float32, float32, float_status *status);
424float32 float32_max(float32, float32, float_status *status);
425float32 float32_minnum(float32, float32, float_status *status);
426float32 float32_maxnum(float32, float32, float_status *status);
427float32 float32_minnummag(float32, float32, float_status *status);
428float32 float32_maxnummag(float32, float32, float_status *status);
429int float32_is_quiet_nan(float32, float_status *status);
430int float32_is_signaling_nan(float32, float_status *status);
431float32 float32_maybe_silence_nan(float32, float_status *status);
432float32 float32_scalbn(float32, int, float_status *status);
433
434static inline float32 float32_abs(float32 a)
435{
436
437
438
439 return make_float32(float32_val(a) & 0x7fffffff);
440}
441
442static inline float32 float32_chs(float32 a)
443{
444
445
446
447 return make_float32(float32_val(a) ^ 0x80000000);
448}
449
450static inline int float32_is_infinity(float32 a)
451{
452 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
453}
454
455static inline int float32_is_neg(float32 a)
456{
457 return float32_val(a) >> 31;
458}
459
460static inline int float32_is_zero(float32 a)
461{
462 return (float32_val(a) & 0x7fffffff) == 0;
463}
464
465static inline int float32_is_any_nan(float32 a)
466{
467 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
468}
469
470static inline int float32_is_zero_or_denormal(float32 a)
471{
472 return (float32_val(a) & 0x7f800000) == 0;
473}
474
475static inline float32 float32_set_sign(float32 a, int sign)
476{
477 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
478}
479
480#define float32_zero make_float32(0)
481#define float32_one make_float32(0x3f800000)
482#define float32_ln2 make_float32(0x3f317218)
483#define float32_pi make_float32(0x40490fdb)
484#define float32_half make_float32(0x3f000000)
485#define float32_infinity make_float32(0x7f800000)
486
487
488
489
490
491float32 float32_default_nan(float_status *status);
492
493
494
495
496int16_t float64_to_int16(float64, float_status *status);
497uint16_t float64_to_uint16(float64, float_status *status);
498int16_t float64_to_int16_round_to_zero(float64, float_status *status);
499uint16_t float64_to_uint16_round_to_zero(float64, float_status *status);
500int32_t float64_to_int32(float64, float_status *status);
501int32_t float64_to_int32_round_to_zero(float64, float_status *status);
502uint32_t float64_to_uint32(float64, float_status *status);
503uint32_t float64_to_uint32_round_to_zero(float64, float_status *status);
504int64_t float64_to_int64(float64, float_status *status);
505int64_t float64_to_int64_round_to_zero(float64, float_status *status);
506uint64_t float64_to_uint64(float64 a, float_status *status);
507uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *status);
508float32 float64_to_float32(float64, float_status *status);
509floatx80 float64_to_floatx80(float64, float_status *status);
510float128 float64_to_float128(float64, float_status *status);
511
512
513
514
515float64 float64_round_to_int(float64, float_status *status);
516float64 float64_trunc_to_int(float64, float_status *status);
517float64 float64_add(float64, float64, float_status *status);
518float64 float64_sub(float64, float64, float_status *status);
519float64 float64_mul(float64, float64, float_status *status);
520float64 float64_div(float64, float64, float_status *status);
521float64 float64_rem(float64, float64, float_status *status);
522float64 float64_muladd(float64, float64, float64, int, float_status *status);
523float64 float64_sqrt(float64, float_status *status);
524float64 float64_log2(float64, float_status *status);
525int float64_eq(float64, float64, float_status *status);
526int float64_le(float64, float64, float_status *status);
527int float64_lt(float64, float64, float_status *status);
528int float64_unordered(float64, float64, float_status *status);
529int float64_eq_quiet(float64, float64, float_status *status);
530int float64_le_quiet(float64, float64, float_status *status);
531int float64_lt_quiet(float64, float64, float_status *status);
532int float64_unordered_quiet(float64, float64, float_status *status);
533int float64_compare(float64, float64, float_status *status);
534int float64_compare_quiet(float64, float64, float_status *status);
535float64 float64_min(float64, float64, float_status *status);
536float64 float64_max(float64, float64, float_status *status);
537float64 float64_minnum(float64, float64, float_status *status);
538float64 float64_maxnum(float64, float64, float_status *status);
539float64 float64_minnummag(float64, float64, float_status *status);
540float64 float64_maxnummag(float64, float64, float_status *status);
541int float64_is_quiet_nan(float64 a, float_status *status);
542int float64_is_signaling_nan(float64, float_status *status);
543float64 float64_maybe_silence_nan(float64, float_status *status);
544float64 float64_scalbn(float64, int, float_status *status);
545
546static inline float64 float64_abs(float64 a)
547{
548
549
550
551 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
552}
553
554static inline float64 float64_chs(float64 a)
555{
556
557
558
559 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
560}
561
562static inline int float64_is_infinity(float64 a)
563{
564 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
565}
566
567static inline int float64_is_neg(float64 a)
568{
569 return float64_val(a) >> 63;
570}
571
572static inline int float64_is_zero(float64 a)
573{
574 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
575}
576
577static inline int float64_is_any_nan(float64 a)
578{
579 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
580}
581
582static inline int float64_is_zero_or_denormal(float64 a)
583{
584 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
585}
586
587static inline float64 float64_set_sign(float64 a, int sign)
588{
589 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
590 | ((int64_t)sign << 63));
591}
592
593#define float64_zero make_float64(0)
594#define float64_one make_float64(0x3ff0000000000000LL)
595#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
596#define float64_pi make_float64(0x400921fb54442d18LL)
597#define float64_half make_float64(0x3fe0000000000000LL)
598#define float64_infinity make_float64(0x7ff0000000000000LL)
599
600
601
602
603float64 float64_default_nan(float_status *status);
604
605
606
607
608int32_t floatx80_to_int32(floatx80, float_status *status);
609int32_t floatx80_to_int32_round_to_zero(floatx80, float_status *status);
610int64_t floatx80_to_int64(floatx80, float_status *status);
611int64_t floatx80_to_int64_round_to_zero(floatx80, float_status *status);
612float32 floatx80_to_float32(floatx80, float_status *status);
613float64 floatx80_to_float64(floatx80, float_status *status);
614float128 floatx80_to_float128(floatx80, float_status *status);
615
616
617
618
619floatx80 floatx80_round(floatx80 a, float_status *status);
620floatx80 floatx80_round_to_int(floatx80, float_status *status);
621floatx80 floatx80_add(floatx80, floatx80, float_status *status);
622floatx80 floatx80_sub(floatx80, floatx80, float_status *status);
623floatx80 floatx80_mul(floatx80, floatx80, float_status *status);
624floatx80 floatx80_div(floatx80, floatx80, float_status *status);
625floatx80 floatx80_rem(floatx80, floatx80, float_status *status);
626floatx80 floatx80_sqrt(floatx80, float_status *status);
627int floatx80_eq(floatx80, floatx80, float_status *status);
628int floatx80_le(floatx80, floatx80, float_status *status);
629int floatx80_lt(floatx80, floatx80, float_status *status);
630int floatx80_unordered(floatx80, floatx80, float_status *status);
631int floatx80_eq_quiet(floatx80, floatx80, float_status *status);
632int floatx80_le_quiet(floatx80, floatx80, float_status *status);
633int floatx80_lt_quiet(floatx80, floatx80, float_status *status);
634int floatx80_unordered_quiet(floatx80, floatx80, float_status *status);
635int floatx80_compare(floatx80, floatx80, float_status *status);
636int floatx80_compare_quiet(floatx80, floatx80, float_status *status);
637int floatx80_is_quiet_nan(floatx80, float_status *status);
638int floatx80_is_signaling_nan(floatx80, float_status *status);
639floatx80 floatx80_maybe_silence_nan(floatx80, float_status *status);
640floatx80 floatx80_scalbn(floatx80, int, float_status *status);
641
642static inline floatx80 floatx80_abs(floatx80 a)
643{
644 a.high &= 0x7fff;
645 return a;
646}
647
648static inline floatx80 floatx80_chs(floatx80 a)
649{
650 a.high ^= 0x8000;
651 return a;
652}
653
654static inline int floatx80_is_infinity(floatx80 a)
655{
656 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
657}
658
659static inline int floatx80_is_neg(floatx80 a)
660{
661 return a.high >> 15;
662}
663
664static inline int floatx80_is_zero(floatx80 a)
665{
666 return (a.high & 0x7fff) == 0 && a.low == 0;
667}
668
669static inline int floatx80_is_zero_or_denormal(floatx80 a)
670{
671 return (a.high & 0x7fff) == 0;
672}
673
674static inline int floatx80_is_any_nan(floatx80 a)
675{
676 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
677}
678
679
680
681
682
683
684
685
686
687
688
689static inline bool floatx80_invalid_encoding(floatx80 a)
690{
691 return (a.low & (1ULL << 63)) == 0 && (a.high & 0x7FFF) != 0;
692}
693
694#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
695#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
696#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
697#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
698#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
699#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
700
701
702
703
704floatx80 floatx80_default_nan(float_status *status);
705
706
707
708
709int32_t float128_to_int32(float128, float_status *status);
710int32_t float128_to_int32_round_to_zero(float128, float_status *status);
711int64_t float128_to_int64(float128, float_status *status);
712int64_t float128_to_int64_round_to_zero(float128, float_status *status);
713uint64_t float128_to_uint64(float128, float_status *status);
714uint64_t float128_to_uint64_round_to_zero(float128, float_status *status);
715uint32_t float128_to_uint32_round_to_zero(float128, float_status *status);
716float32 float128_to_float32(float128, float_status *status);
717float64 float128_to_float64(float128, float_status *status);
718floatx80 float128_to_floatx80(float128, float_status *status);
719
720
721
722
723float128 float128_round_to_int(float128, float_status *status);
724float128 float128_add(float128, float128, float_status *status);
725float128 float128_sub(float128, float128, float_status *status);
726float128 float128_mul(float128, float128, float_status *status);
727float128 float128_div(float128, float128, float_status *status);
728float128 float128_rem(float128, float128, float_status *status);
729float128 float128_sqrt(float128, float_status *status);
730int float128_eq(float128, float128, float_status *status);
731int float128_le(float128, float128, float_status *status);
732int float128_lt(float128, float128, float_status *status);
733int float128_unordered(float128, float128, float_status *status);
734int float128_eq_quiet(float128, float128, float_status *status);
735int float128_le_quiet(float128, float128, float_status *status);
736int float128_lt_quiet(float128, float128, float_status *status);
737int float128_unordered_quiet(float128, float128, float_status *status);
738int float128_compare(float128, float128, float_status *status);
739int float128_compare_quiet(float128, float128, float_status *status);
740int float128_is_quiet_nan(float128, float_status *status);
741int float128_is_signaling_nan(float128, float_status *status);
742float128 float128_maybe_silence_nan(float128, float_status *status);
743float128 float128_scalbn(float128, int, float_status *status);
744
745static inline float128 float128_abs(float128 a)
746{
747 a.high &= 0x7fffffffffffffffLL;
748 return a;
749}
750
751static inline float128 float128_chs(float128 a)
752{
753 a.high ^= 0x8000000000000000LL;
754 return a;
755}
756
757static inline int float128_is_infinity(float128 a)
758{
759 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
760}
761
762static inline int float128_is_neg(float128 a)
763{
764 return a.high >> 63;
765}
766
767static inline int float128_is_zero(float128 a)
768{
769 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
770}
771
772static inline int float128_is_zero_or_denormal(float128 a)
773{
774 return (a.high & 0x7fff000000000000LL) == 0;
775}
776
777static inline int float128_is_any_nan(float128 a)
778{
779 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
780 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
781}
782
783#define float128_zero make_float128(0, 0)
784
785
786
787
788float128 float128_default_nan(float_status *status);
789
790#endif
791