monitor/qmp: Update comment for commit 4eaca8de268
[qemu/armbru.git] / target / arm / vfp_helper.c
blob9710ef1c3e54947939f93c246e04303a6675a512
1 /*
2 * ARM VFP floating-point operations
4 * Copyright (c) 2003 Fabrice Bellard
6 * This library is free software; you can redistribute it and/or
7 * modify it under the terms of the GNU Lesser General Public
8 * License as published by the Free Software Foundation; either
9 * version 2.1 of the License, or (at your option) any later version.
11 * This library is distributed in the hope that it will be useful,
12 * but WITHOUT ANY WARRANTY; without even the implied warranty of
13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 * Lesser General Public License for more details.
16 * You should have received a copy of the GNU Lesser General Public
17 * License along with this library; if not, see <http://www.gnu.org/licenses/>.
20 #include "qemu/osdep.h"
21 #include "cpu.h"
22 #include "exec/helper-proto.h"
23 #include "internals.h"
24 #ifdef CONFIG_TCG
25 #include "qemu/log.h"
26 #include "fpu/softfloat.h"
27 #endif
29 /* VFP support. We follow the convention used for VFP instructions:
30 Single precision routines have a "s" suffix, double precision a
31 "d" suffix. */
33 #ifdef CONFIG_TCG
35 /* Convert host exception flags to vfp form. */
36 static inline int vfp_exceptbits_from_host(int host_bits)
38 int target_bits = 0;
40 if (host_bits & float_flag_invalid) {
41 target_bits |= 1;
43 if (host_bits & float_flag_divbyzero) {
44 target_bits |= 2;
46 if (host_bits & float_flag_overflow) {
47 target_bits |= 4;
49 if (host_bits & (float_flag_underflow | float_flag_output_denormal)) {
50 target_bits |= 8;
52 if (host_bits & float_flag_inexact) {
53 target_bits |= 0x10;
55 if (host_bits & float_flag_input_denormal) {
56 target_bits |= 0x80;
58 return target_bits;
61 /* Convert vfp exception flags to target form. */
62 static inline int vfp_exceptbits_to_host(int target_bits)
64 int host_bits = 0;
66 if (target_bits & 1) {
67 host_bits |= float_flag_invalid;
69 if (target_bits & 2) {
70 host_bits |= float_flag_divbyzero;
72 if (target_bits & 4) {
73 host_bits |= float_flag_overflow;
75 if (target_bits & 8) {
76 host_bits |= float_flag_underflow;
78 if (target_bits & 0x10) {
79 host_bits |= float_flag_inexact;
81 if (target_bits & 0x80) {
82 host_bits |= float_flag_input_denormal;
84 return host_bits;
87 static uint32_t vfp_get_fpscr_from_host(CPUARMState *env)
89 uint32_t i;
91 i = get_float_exception_flags(&env->vfp.fp_status);
92 i |= get_float_exception_flags(&env->vfp.standard_fp_status);
93 /* FZ16 does not generate an input denormal exception. */
94 i |= (get_float_exception_flags(&env->vfp.fp_status_f16)
95 & ~float_flag_input_denormal);
96 return vfp_exceptbits_from_host(i);
99 static void vfp_set_fpscr_to_host(CPUARMState *env, uint32_t val)
101 int i;
102 uint32_t changed = env->vfp.xregs[ARM_VFP_FPSCR];
104 changed ^= val;
105 if (changed & (3 << 22)) {
106 i = (val >> 22) & 3;
107 switch (i) {
108 case FPROUNDING_TIEEVEN:
109 i = float_round_nearest_even;
110 break;
111 case FPROUNDING_POSINF:
112 i = float_round_up;
113 break;
114 case FPROUNDING_NEGINF:
115 i = float_round_down;
116 break;
117 case FPROUNDING_ZERO:
118 i = float_round_to_zero;
119 break;
121 set_float_rounding_mode(i, &env->vfp.fp_status);
122 set_float_rounding_mode(i, &env->vfp.fp_status_f16);
124 if (changed & FPCR_FZ16) {
125 bool ftz_enabled = val & FPCR_FZ16;
126 set_flush_to_zero(ftz_enabled, &env->vfp.fp_status_f16);
127 set_flush_inputs_to_zero(ftz_enabled, &env->vfp.fp_status_f16);
129 if (changed & FPCR_FZ) {
130 bool ftz_enabled = val & FPCR_FZ;
131 set_flush_to_zero(ftz_enabled, &env->vfp.fp_status);
132 set_flush_inputs_to_zero(ftz_enabled, &env->vfp.fp_status);
134 if (changed & FPCR_DN) {
135 bool dnan_enabled = val & FPCR_DN;
136 set_default_nan_mode(dnan_enabled, &env->vfp.fp_status);
137 set_default_nan_mode(dnan_enabled, &env->vfp.fp_status_f16);
141 * The exception flags are ORed together when we read fpscr so we
142 * only need to preserve the current state in one of our
143 * float_status values.
145 i = vfp_exceptbits_to_host(val);
146 set_float_exception_flags(i, &env->vfp.fp_status);
147 set_float_exception_flags(0, &env->vfp.fp_status_f16);
148 set_float_exception_flags(0, &env->vfp.standard_fp_status);
151 #else
153 static uint32_t vfp_get_fpscr_from_host(CPUARMState *env)
155 return 0;
158 static void vfp_set_fpscr_to_host(CPUARMState *env, uint32_t val)
162 #endif
164 uint32_t HELPER(vfp_get_fpscr)(CPUARMState *env)
166 uint32_t i, fpscr;
168 fpscr = env->vfp.xregs[ARM_VFP_FPSCR]
169 | (env->vfp.vec_len << 16)
170 | (env->vfp.vec_stride << 20);
172 fpscr |= vfp_get_fpscr_from_host(env);
174 i = env->vfp.qc[0] | env->vfp.qc[1] | env->vfp.qc[2] | env->vfp.qc[3];
175 fpscr |= i ? FPCR_QC : 0;
177 return fpscr;
180 uint32_t vfp_get_fpscr(CPUARMState *env)
182 return HELPER(vfp_get_fpscr)(env);
185 void HELPER(vfp_set_fpscr)(CPUARMState *env, uint32_t val)
187 /* When ARMv8.2-FP16 is not supported, FZ16 is RES0. */
188 if (!cpu_isar_feature(aa64_fp16, env_archcpu(env))) {
189 val &= ~FPCR_FZ16;
192 if (arm_feature(env, ARM_FEATURE_M)) {
194 * M profile FPSCR is RES0 for the QC, STRIDE, FZ16, LEN bits
195 * and also for the trapped-exception-handling bits IxE.
197 val &= 0xf7c0009f;
200 vfp_set_fpscr_to_host(env, val);
203 * We don't implement trapped exception handling, so the
204 * trap enable bits, IDE|IXE|UFE|OFE|DZE|IOE are all RAZ/WI (not RES0!)
206 * If we exclude the exception flags, IOC|DZC|OFC|UFC|IXC|IDC
207 * (which are stored in fp_status), and the other RES0 bits
208 * in between, then we clear all of the low 16 bits.
210 env->vfp.xregs[ARM_VFP_FPSCR] = val & 0xf7c80000;
211 env->vfp.vec_len = (val >> 16) & 7;
212 env->vfp.vec_stride = (val >> 20) & 3;
215 * The bit we set within fpscr_q is arbitrary; the register as a
216 * whole being zero/non-zero is what counts.
218 env->vfp.qc[0] = val & FPCR_QC;
219 env->vfp.qc[1] = 0;
220 env->vfp.qc[2] = 0;
221 env->vfp.qc[3] = 0;
224 void vfp_set_fpscr(CPUARMState *env, uint32_t val)
226 HELPER(vfp_set_fpscr)(env, val);
229 #ifdef CONFIG_TCG
231 #define VFP_HELPER(name, p) HELPER(glue(glue(vfp_,name),p))
233 #define VFP_BINOP(name) \
234 float32 VFP_HELPER(name, s)(float32 a, float32 b, void *fpstp) \
236 float_status *fpst = fpstp; \
237 return float32_ ## name(a, b, fpst); \
239 float64 VFP_HELPER(name, d)(float64 a, float64 b, void *fpstp) \
241 float_status *fpst = fpstp; \
242 return float64_ ## name(a, b, fpst); \
244 VFP_BINOP(add)
245 VFP_BINOP(sub)
246 VFP_BINOP(mul)
247 VFP_BINOP(div)
248 VFP_BINOP(min)
249 VFP_BINOP(max)
250 VFP_BINOP(minnum)
251 VFP_BINOP(maxnum)
252 #undef VFP_BINOP
254 float32 VFP_HELPER(neg, s)(float32 a)
256 return float32_chs(a);
259 float64 VFP_HELPER(neg, d)(float64 a)
261 return float64_chs(a);
264 float32 VFP_HELPER(abs, s)(float32 a)
266 return float32_abs(a);
269 float64 VFP_HELPER(abs, d)(float64 a)
271 return float64_abs(a);
274 float32 VFP_HELPER(sqrt, s)(float32 a, CPUARMState *env)
276 return float32_sqrt(a, &env->vfp.fp_status);
279 float64 VFP_HELPER(sqrt, d)(float64 a, CPUARMState *env)
281 return float64_sqrt(a, &env->vfp.fp_status);
284 static void softfloat_to_vfp_compare(CPUARMState *env, int cmp)
286 uint32_t flags;
287 switch (cmp) {
288 case float_relation_equal:
289 flags = 0x6;
290 break;
291 case float_relation_less:
292 flags = 0x8;
293 break;
294 case float_relation_greater:
295 flags = 0x2;
296 break;
297 case float_relation_unordered:
298 flags = 0x3;
299 break;
300 default:
301 g_assert_not_reached();
303 env->vfp.xregs[ARM_VFP_FPSCR] =
304 deposit32(env->vfp.xregs[ARM_VFP_FPSCR], 28, 4, flags);
307 /* XXX: check quiet/signaling case */
308 #define DO_VFP_cmp(p, type) \
309 void VFP_HELPER(cmp, p)(type a, type b, CPUARMState *env) \
311 softfloat_to_vfp_compare(env, \
312 type ## _compare_quiet(a, b, &env->vfp.fp_status)); \
314 void VFP_HELPER(cmpe, p)(type a, type b, CPUARMState *env) \
316 softfloat_to_vfp_compare(env, \
317 type ## _compare(a, b, &env->vfp.fp_status)); \
319 DO_VFP_cmp(s, float32)
320 DO_VFP_cmp(d, float64)
321 #undef DO_VFP_cmp
323 /* Integer to float and float to integer conversions */
325 #define CONV_ITOF(name, ftype, fsz, sign) \
326 ftype HELPER(name)(uint32_t x, void *fpstp) \
328 float_status *fpst = fpstp; \
329 return sign##int32_to_##float##fsz((sign##int32_t)x, fpst); \
332 #define CONV_FTOI(name, ftype, fsz, sign, round) \
333 sign##int32_t HELPER(name)(ftype x, void *fpstp) \
335 float_status *fpst = fpstp; \
336 if (float##fsz##_is_any_nan(x)) { \
337 float_raise(float_flag_invalid, fpst); \
338 return 0; \
340 return float##fsz##_to_##sign##int32##round(x, fpst); \
343 #define FLOAT_CONVS(name, p, ftype, fsz, sign) \
344 CONV_ITOF(vfp_##name##to##p, ftype, fsz, sign) \
345 CONV_FTOI(vfp_to##name##p, ftype, fsz, sign, ) \
346 CONV_FTOI(vfp_to##name##z##p, ftype, fsz, sign, _round_to_zero)
348 FLOAT_CONVS(si, h, uint32_t, 16, )
349 FLOAT_CONVS(si, s, float32, 32, )
350 FLOAT_CONVS(si, d, float64, 64, )
351 FLOAT_CONVS(ui, h, uint32_t, 16, u)
352 FLOAT_CONVS(ui, s, float32, 32, u)
353 FLOAT_CONVS(ui, d, float64, 64, u)
355 #undef CONV_ITOF
356 #undef CONV_FTOI
357 #undef FLOAT_CONVS
359 /* floating point conversion */
360 float64 VFP_HELPER(fcvtd, s)(float32 x, CPUARMState *env)
362 return float32_to_float64(x, &env->vfp.fp_status);
365 float32 VFP_HELPER(fcvts, d)(float64 x, CPUARMState *env)
367 return float64_to_float32(x, &env->vfp.fp_status);
370 /* VFP3 fixed point conversion. */
371 #define VFP_CONV_FIX_FLOAT(name, p, fsz, isz, itype) \
372 float##fsz HELPER(vfp_##name##to##p)(uint##isz##_t x, uint32_t shift, \
373 void *fpstp) \
374 { return itype##_to_##float##fsz##_scalbn(x, -shift, fpstp); }
376 #define VFP_CONV_FLOAT_FIX_ROUND(name, p, fsz, isz, itype, ROUND, suff) \
377 uint##isz##_t HELPER(vfp_to##name##p##suff)(float##fsz x, uint32_t shift, \
378 void *fpst) \
380 if (unlikely(float##fsz##_is_any_nan(x))) { \
381 float_raise(float_flag_invalid, fpst); \
382 return 0; \
384 return float##fsz##_to_##itype##_scalbn(x, ROUND, shift, fpst); \
387 #define VFP_CONV_FIX(name, p, fsz, isz, itype) \
388 VFP_CONV_FIX_FLOAT(name, p, fsz, isz, itype) \
389 VFP_CONV_FLOAT_FIX_ROUND(name, p, fsz, isz, itype, \
390 float_round_to_zero, _round_to_zero) \
391 VFP_CONV_FLOAT_FIX_ROUND(name, p, fsz, isz, itype, \
392 get_float_rounding_mode(fpst), )
394 #define VFP_CONV_FIX_A64(name, p, fsz, isz, itype) \
395 VFP_CONV_FIX_FLOAT(name, p, fsz, isz, itype) \
396 VFP_CONV_FLOAT_FIX_ROUND(name, p, fsz, isz, itype, \
397 get_float_rounding_mode(fpst), )
399 VFP_CONV_FIX(sh, d, 64, 64, int16)
400 VFP_CONV_FIX(sl, d, 64, 64, int32)
401 VFP_CONV_FIX_A64(sq, d, 64, 64, int64)
402 VFP_CONV_FIX(uh, d, 64, 64, uint16)
403 VFP_CONV_FIX(ul, d, 64, 64, uint32)
404 VFP_CONV_FIX_A64(uq, d, 64, 64, uint64)
405 VFP_CONV_FIX(sh, s, 32, 32, int16)
406 VFP_CONV_FIX(sl, s, 32, 32, int32)
407 VFP_CONV_FIX_A64(sq, s, 32, 64, int64)
408 VFP_CONV_FIX(uh, s, 32, 32, uint16)
409 VFP_CONV_FIX(ul, s, 32, 32, uint32)
410 VFP_CONV_FIX_A64(uq, s, 32, 64, uint64)
412 #undef VFP_CONV_FIX
413 #undef VFP_CONV_FIX_FLOAT
414 #undef VFP_CONV_FLOAT_FIX_ROUND
415 #undef VFP_CONV_FIX_A64
417 uint32_t HELPER(vfp_sltoh)(uint32_t x, uint32_t shift, void *fpst)
419 return int32_to_float16_scalbn(x, -shift, fpst);
422 uint32_t HELPER(vfp_ultoh)(uint32_t x, uint32_t shift, void *fpst)
424 return uint32_to_float16_scalbn(x, -shift, fpst);
427 uint32_t HELPER(vfp_sqtoh)(uint64_t x, uint32_t shift, void *fpst)
429 return int64_to_float16_scalbn(x, -shift, fpst);
432 uint32_t HELPER(vfp_uqtoh)(uint64_t x, uint32_t shift, void *fpst)
434 return uint64_to_float16_scalbn(x, -shift, fpst);
437 uint32_t HELPER(vfp_toshh)(uint32_t x, uint32_t shift, void *fpst)
439 if (unlikely(float16_is_any_nan(x))) {
440 float_raise(float_flag_invalid, fpst);
441 return 0;
443 return float16_to_int16_scalbn(x, get_float_rounding_mode(fpst),
444 shift, fpst);
447 uint32_t HELPER(vfp_touhh)(uint32_t x, uint32_t shift, void *fpst)
449 if (unlikely(float16_is_any_nan(x))) {
450 float_raise(float_flag_invalid, fpst);
451 return 0;
453 return float16_to_uint16_scalbn(x, get_float_rounding_mode(fpst),
454 shift, fpst);
457 uint32_t HELPER(vfp_toslh)(uint32_t x, uint32_t shift, void *fpst)
459 if (unlikely(float16_is_any_nan(x))) {
460 float_raise(float_flag_invalid, fpst);
461 return 0;
463 return float16_to_int32_scalbn(x, get_float_rounding_mode(fpst),
464 shift, fpst);
467 uint32_t HELPER(vfp_toulh)(uint32_t x, uint32_t shift, void *fpst)
469 if (unlikely(float16_is_any_nan(x))) {
470 float_raise(float_flag_invalid, fpst);
471 return 0;
473 return float16_to_uint32_scalbn(x, get_float_rounding_mode(fpst),
474 shift, fpst);
477 uint64_t HELPER(vfp_tosqh)(uint32_t x, uint32_t shift, void *fpst)
479 if (unlikely(float16_is_any_nan(x))) {
480 float_raise(float_flag_invalid, fpst);
481 return 0;
483 return float16_to_int64_scalbn(x, get_float_rounding_mode(fpst),
484 shift, fpst);
487 uint64_t HELPER(vfp_touqh)(uint32_t x, uint32_t shift, void *fpst)
489 if (unlikely(float16_is_any_nan(x))) {
490 float_raise(float_flag_invalid, fpst);
491 return 0;
493 return float16_to_uint64_scalbn(x, get_float_rounding_mode(fpst),
494 shift, fpst);
497 /* Set the current fp rounding mode and return the old one.
498 * The argument is a softfloat float_round_ value.
500 uint32_t HELPER(set_rmode)(uint32_t rmode, void *fpstp)
502 float_status *fp_status = fpstp;
504 uint32_t prev_rmode = get_float_rounding_mode(fp_status);
505 set_float_rounding_mode(rmode, fp_status);
507 return prev_rmode;
510 /* Set the current fp rounding mode in the standard fp status and return
511 * the old one. This is for NEON instructions that need to change the
512 * rounding mode but wish to use the standard FPSCR values for everything
513 * else. Always set the rounding mode back to the correct value after
514 * modifying it.
515 * The argument is a softfloat float_round_ value.
517 uint32_t HELPER(set_neon_rmode)(uint32_t rmode, CPUARMState *env)
519 float_status *fp_status = &env->vfp.standard_fp_status;
521 uint32_t prev_rmode = get_float_rounding_mode(fp_status);
522 set_float_rounding_mode(rmode, fp_status);
524 return prev_rmode;
527 /* Half precision conversions. */
528 float32 HELPER(vfp_fcvt_f16_to_f32)(uint32_t a, void *fpstp, uint32_t ahp_mode)
530 /* Squash FZ16 to 0 for the duration of conversion. In this case,
531 * it would affect flushing input denormals.
533 float_status *fpst = fpstp;
534 flag save = get_flush_inputs_to_zero(fpst);
535 set_flush_inputs_to_zero(false, fpst);
536 float32 r = float16_to_float32(a, !ahp_mode, fpst);
537 set_flush_inputs_to_zero(save, fpst);
538 return r;
541 uint32_t HELPER(vfp_fcvt_f32_to_f16)(float32 a, void *fpstp, uint32_t ahp_mode)
543 /* Squash FZ16 to 0 for the duration of conversion. In this case,
544 * it would affect flushing output denormals.
546 float_status *fpst = fpstp;
547 flag save = get_flush_to_zero(fpst);
548 set_flush_to_zero(false, fpst);
549 float16 r = float32_to_float16(a, !ahp_mode, fpst);
550 set_flush_to_zero(save, fpst);
551 return r;
554 float64 HELPER(vfp_fcvt_f16_to_f64)(uint32_t a, void *fpstp, uint32_t ahp_mode)
556 /* Squash FZ16 to 0 for the duration of conversion. In this case,
557 * it would affect flushing input denormals.
559 float_status *fpst = fpstp;
560 flag save = get_flush_inputs_to_zero(fpst);
561 set_flush_inputs_to_zero(false, fpst);
562 float64 r = float16_to_float64(a, !ahp_mode, fpst);
563 set_flush_inputs_to_zero(save, fpst);
564 return r;
567 uint32_t HELPER(vfp_fcvt_f64_to_f16)(float64 a, void *fpstp, uint32_t ahp_mode)
569 /* Squash FZ16 to 0 for the duration of conversion. In this case,
570 * it would affect flushing output denormals.
572 float_status *fpst = fpstp;
573 flag save = get_flush_to_zero(fpst);
574 set_flush_to_zero(false, fpst);
575 float16 r = float64_to_float16(a, !ahp_mode, fpst);
576 set_flush_to_zero(save, fpst);
577 return r;
580 #define float32_two make_float32(0x40000000)
581 #define float32_three make_float32(0x40400000)
582 #define float32_one_point_five make_float32(0x3fc00000)
584 float32 HELPER(recps_f32)(float32 a, float32 b, CPUARMState *env)
586 float_status *s = &env->vfp.standard_fp_status;
587 if ((float32_is_infinity(a) && float32_is_zero_or_denormal(b)) ||
588 (float32_is_infinity(b) && float32_is_zero_or_denormal(a))) {
589 if (!(float32_is_zero(a) || float32_is_zero(b))) {
590 float_raise(float_flag_input_denormal, s);
592 return float32_two;
594 return float32_sub(float32_two, float32_mul(a, b, s), s);
597 float32 HELPER(rsqrts_f32)(float32 a, float32 b, CPUARMState *env)
599 float_status *s = &env->vfp.standard_fp_status;
600 float32 product;
601 if ((float32_is_infinity(a) && float32_is_zero_or_denormal(b)) ||
602 (float32_is_infinity(b) && float32_is_zero_or_denormal(a))) {
603 if (!(float32_is_zero(a) || float32_is_zero(b))) {
604 float_raise(float_flag_input_denormal, s);
606 return float32_one_point_five;
608 product = float32_mul(a, b, s);
609 return float32_div(float32_sub(float32_three, product, s), float32_two, s);
612 /* NEON helpers. */
614 /* Constants 256 and 512 are used in some helpers; we avoid relying on
615 * int->float conversions at run-time. */
616 #define float64_256 make_float64(0x4070000000000000LL)
617 #define float64_512 make_float64(0x4080000000000000LL)
618 #define float16_maxnorm make_float16(0x7bff)
619 #define float32_maxnorm make_float32(0x7f7fffff)
620 #define float64_maxnorm make_float64(0x7fefffffffffffffLL)
622 /* Reciprocal functions
624 * The algorithm that must be used to calculate the estimate
625 * is specified by the ARM ARM, see FPRecipEstimate()/RecipEstimate
628 /* See RecipEstimate()
630 * input is a 9 bit fixed point number
631 * input range 256 .. 511 for a number from 0.5 <= x < 1.0.
632 * result range 256 .. 511 for a number from 1.0 to 511/256.
635 static int recip_estimate(int input)
637 int a, b, r;
638 assert(256 <= input && input < 512);
639 a = (input * 2) + 1;
640 b = (1 << 19) / a;
641 r = (b + 1) >> 1;
642 assert(256 <= r && r < 512);
643 return r;
647 * Common wrapper to call recip_estimate
649 * The parameters are exponent and 64 bit fraction (without implicit
650 * bit) where the binary point is nominally at bit 52. Returns a
651 * float64 which can then be rounded to the appropriate size by the
652 * callee.
655 static uint64_t call_recip_estimate(int *exp, int exp_off, uint64_t frac)
657 uint32_t scaled, estimate;
658 uint64_t result_frac;
659 int result_exp;
661 /* Handle sub-normals */
662 if (*exp == 0) {
663 if (extract64(frac, 51, 1) == 0) {
664 *exp = -1;
665 frac <<= 2;
666 } else {
667 frac <<= 1;
671 /* scaled = UInt('1':fraction<51:44>) */
672 scaled = deposit32(1 << 8, 0, 8, extract64(frac, 44, 8));
673 estimate = recip_estimate(scaled);
675 result_exp = exp_off - *exp;
676 result_frac = deposit64(0, 44, 8, estimate);
677 if (result_exp == 0) {
678 result_frac = deposit64(result_frac >> 1, 51, 1, 1);
679 } else if (result_exp == -1) {
680 result_frac = deposit64(result_frac >> 2, 50, 2, 1);
681 result_exp = 0;
684 *exp = result_exp;
686 return result_frac;
689 static bool round_to_inf(float_status *fpst, bool sign_bit)
691 switch (fpst->float_rounding_mode) {
692 case float_round_nearest_even: /* Round to Nearest */
693 return true;
694 case float_round_up: /* Round to +Inf */
695 return !sign_bit;
696 case float_round_down: /* Round to -Inf */
697 return sign_bit;
698 case float_round_to_zero: /* Round to Zero */
699 return false;
702 g_assert_not_reached();
705 uint32_t HELPER(recpe_f16)(uint32_t input, void *fpstp)
707 float_status *fpst = fpstp;
708 float16 f16 = float16_squash_input_denormal(input, fpst);
709 uint32_t f16_val = float16_val(f16);
710 uint32_t f16_sign = float16_is_neg(f16);
711 int f16_exp = extract32(f16_val, 10, 5);
712 uint32_t f16_frac = extract32(f16_val, 0, 10);
713 uint64_t f64_frac;
715 if (float16_is_any_nan(f16)) {
716 float16 nan = f16;
717 if (float16_is_signaling_nan(f16, fpst)) {
718 float_raise(float_flag_invalid, fpst);
719 nan = float16_silence_nan(f16, fpst);
721 if (fpst->default_nan_mode) {
722 nan = float16_default_nan(fpst);
724 return nan;
725 } else if (float16_is_infinity(f16)) {
726 return float16_set_sign(float16_zero, float16_is_neg(f16));
727 } else if (float16_is_zero(f16)) {
728 float_raise(float_flag_divbyzero, fpst);
729 return float16_set_sign(float16_infinity, float16_is_neg(f16));
730 } else if (float16_abs(f16) < (1 << 8)) {
731 /* Abs(value) < 2.0^-16 */
732 float_raise(float_flag_overflow | float_flag_inexact, fpst);
733 if (round_to_inf(fpst, f16_sign)) {
734 return float16_set_sign(float16_infinity, f16_sign);
735 } else {
736 return float16_set_sign(float16_maxnorm, f16_sign);
738 } else if (f16_exp >= 29 && fpst->flush_to_zero) {
739 float_raise(float_flag_underflow, fpst);
740 return float16_set_sign(float16_zero, float16_is_neg(f16));
743 f64_frac = call_recip_estimate(&f16_exp, 29,
744 ((uint64_t) f16_frac) << (52 - 10));
746 /* result = sign : result_exp<4:0> : fraction<51:42> */
747 f16_val = deposit32(0, 15, 1, f16_sign);
748 f16_val = deposit32(f16_val, 10, 5, f16_exp);
749 f16_val = deposit32(f16_val, 0, 10, extract64(f64_frac, 52 - 10, 10));
750 return make_float16(f16_val);
753 float32 HELPER(recpe_f32)(float32 input, void *fpstp)
755 float_status *fpst = fpstp;
756 float32 f32 = float32_squash_input_denormal(input, fpst);
757 uint32_t f32_val = float32_val(f32);
758 bool f32_sign = float32_is_neg(f32);
759 int f32_exp = extract32(f32_val, 23, 8);
760 uint32_t f32_frac = extract32(f32_val, 0, 23);
761 uint64_t f64_frac;
763 if (float32_is_any_nan(f32)) {
764 float32 nan = f32;
765 if (float32_is_signaling_nan(f32, fpst)) {
766 float_raise(float_flag_invalid, fpst);
767 nan = float32_silence_nan(f32, fpst);
769 if (fpst->default_nan_mode) {
770 nan = float32_default_nan(fpst);
772 return nan;
773 } else if (float32_is_infinity(f32)) {
774 return float32_set_sign(float32_zero, float32_is_neg(f32));
775 } else if (float32_is_zero(f32)) {
776 float_raise(float_flag_divbyzero, fpst);
777 return float32_set_sign(float32_infinity, float32_is_neg(f32));
778 } else if (float32_abs(f32) < (1ULL << 21)) {
779 /* Abs(value) < 2.0^-128 */
780 float_raise(float_flag_overflow | float_flag_inexact, fpst);
781 if (round_to_inf(fpst, f32_sign)) {
782 return float32_set_sign(float32_infinity, f32_sign);
783 } else {
784 return float32_set_sign(float32_maxnorm, f32_sign);
786 } else if (f32_exp >= 253 && fpst->flush_to_zero) {
787 float_raise(float_flag_underflow, fpst);
788 return float32_set_sign(float32_zero, float32_is_neg(f32));
791 f64_frac = call_recip_estimate(&f32_exp, 253,
792 ((uint64_t) f32_frac) << (52 - 23));
794 /* result = sign : result_exp<7:0> : fraction<51:29> */
795 f32_val = deposit32(0, 31, 1, f32_sign);
796 f32_val = deposit32(f32_val, 23, 8, f32_exp);
797 f32_val = deposit32(f32_val, 0, 23, extract64(f64_frac, 52 - 23, 23));
798 return make_float32(f32_val);
801 float64 HELPER(recpe_f64)(float64 input, void *fpstp)
803 float_status *fpst = fpstp;
804 float64 f64 = float64_squash_input_denormal(input, fpst);
805 uint64_t f64_val = float64_val(f64);
806 bool f64_sign = float64_is_neg(f64);
807 int f64_exp = extract64(f64_val, 52, 11);
808 uint64_t f64_frac = extract64(f64_val, 0, 52);
810 /* Deal with any special cases */
811 if (float64_is_any_nan(f64)) {
812 float64 nan = f64;
813 if (float64_is_signaling_nan(f64, fpst)) {
814 float_raise(float_flag_invalid, fpst);
815 nan = float64_silence_nan(f64, fpst);
817 if (fpst->default_nan_mode) {
818 nan = float64_default_nan(fpst);
820 return nan;
821 } else if (float64_is_infinity(f64)) {
822 return float64_set_sign(float64_zero, float64_is_neg(f64));
823 } else if (float64_is_zero(f64)) {
824 float_raise(float_flag_divbyzero, fpst);
825 return float64_set_sign(float64_infinity, float64_is_neg(f64));
826 } else if ((f64_val & ~(1ULL << 63)) < (1ULL << 50)) {
827 /* Abs(value) < 2.0^-1024 */
828 float_raise(float_flag_overflow | float_flag_inexact, fpst);
829 if (round_to_inf(fpst, f64_sign)) {
830 return float64_set_sign(float64_infinity, f64_sign);
831 } else {
832 return float64_set_sign(float64_maxnorm, f64_sign);
834 } else if (f64_exp >= 2045 && fpst->flush_to_zero) {
835 float_raise(float_flag_underflow, fpst);
836 return float64_set_sign(float64_zero, float64_is_neg(f64));
839 f64_frac = call_recip_estimate(&f64_exp, 2045, f64_frac);
841 /* result = sign : result_exp<10:0> : fraction<51:0>; */
842 f64_val = deposit64(0, 63, 1, f64_sign);
843 f64_val = deposit64(f64_val, 52, 11, f64_exp);
844 f64_val = deposit64(f64_val, 0, 52, f64_frac);
845 return make_float64(f64_val);
848 /* The algorithm that must be used to calculate the estimate
849 * is specified by the ARM ARM.
852 static int do_recip_sqrt_estimate(int a)
854 int b, estimate;
856 assert(128 <= a && a < 512);
857 if (a < 256) {
858 a = a * 2 + 1;
859 } else {
860 a = (a >> 1) << 1;
861 a = (a + 1) * 2;
863 b = 512;
864 while (a * (b + 1) * (b + 1) < (1 << 28)) {
865 b += 1;
867 estimate = (b + 1) / 2;
868 assert(256 <= estimate && estimate < 512);
870 return estimate;
874 static uint64_t recip_sqrt_estimate(int *exp , int exp_off, uint64_t frac)
876 int estimate;
877 uint32_t scaled;
879 if (*exp == 0) {
880 while (extract64(frac, 51, 1) == 0) {
881 frac = frac << 1;
882 *exp -= 1;
884 frac = extract64(frac, 0, 51) << 1;
887 if (*exp & 1) {
888 /* scaled = UInt('01':fraction<51:45>) */
889 scaled = deposit32(1 << 7, 0, 7, extract64(frac, 45, 7));
890 } else {
891 /* scaled = UInt('1':fraction<51:44>) */
892 scaled = deposit32(1 << 8, 0, 8, extract64(frac, 44, 8));
894 estimate = do_recip_sqrt_estimate(scaled);
896 *exp = (exp_off - *exp) / 2;
897 return extract64(estimate, 0, 8) << 44;
900 uint32_t HELPER(rsqrte_f16)(uint32_t input, void *fpstp)
902 float_status *s = fpstp;
903 float16 f16 = float16_squash_input_denormal(input, s);
904 uint16_t val = float16_val(f16);
905 bool f16_sign = float16_is_neg(f16);
906 int f16_exp = extract32(val, 10, 5);
907 uint16_t f16_frac = extract32(val, 0, 10);
908 uint64_t f64_frac;
910 if (float16_is_any_nan(f16)) {
911 float16 nan = f16;
912 if (float16_is_signaling_nan(f16, s)) {
913 float_raise(float_flag_invalid, s);
914 nan = float16_silence_nan(f16, s);
916 if (s->default_nan_mode) {
917 nan = float16_default_nan(s);
919 return nan;
920 } else if (float16_is_zero(f16)) {
921 float_raise(float_flag_divbyzero, s);
922 return float16_set_sign(float16_infinity, f16_sign);
923 } else if (f16_sign) {
924 float_raise(float_flag_invalid, s);
925 return float16_default_nan(s);
926 } else if (float16_is_infinity(f16)) {
927 return float16_zero;
930 /* Scale and normalize to a double-precision value between 0.25 and 1.0,
931 * preserving the parity of the exponent. */
933 f64_frac = ((uint64_t) f16_frac) << (52 - 10);
935 f64_frac = recip_sqrt_estimate(&f16_exp, 44, f64_frac);
937 /* result = sign : result_exp<4:0> : estimate<7:0> : Zeros(2) */
938 val = deposit32(0, 15, 1, f16_sign);
939 val = deposit32(val, 10, 5, f16_exp);
940 val = deposit32(val, 2, 8, extract64(f64_frac, 52 - 8, 8));
941 return make_float16(val);
944 float32 HELPER(rsqrte_f32)(float32 input, void *fpstp)
946 float_status *s = fpstp;
947 float32 f32 = float32_squash_input_denormal(input, s);
948 uint32_t val = float32_val(f32);
949 uint32_t f32_sign = float32_is_neg(f32);
950 int f32_exp = extract32(val, 23, 8);
951 uint32_t f32_frac = extract32(val, 0, 23);
952 uint64_t f64_frac;
954 if (float32_is_any_nan(f32)) {
955 float32 nan = f32;
956 if (float32_is_signaling_nan(f32, s)) {
957 float_raise(float_flag_invalid, s);
958 nan = float32_silence_nan(f32, s);
960 if (s->default_nan_mode) {
961 nan = float32_default_nan(s);
963 return nan;
964 } else if (float32_is_zero(f32)) {
965 float_raise(float_flag_divbyzero, s);
966 return float32_set_sign(float32_infinity, float32_is_neg(f32));
967 } else if (float32_is_neg(f32)) {
968 float_raise(float_flag_invalid, s);
969 return float32_default_nan(s);
970 } else if (float32_is_infinity(f32)) {
971 return float32_zero;
974 /* Scale and normalize to a double-precision value between 0.25 and 1.0,
975 * preserving the parity of the exponent. */
977 f64_frac = ((uint64_t) f32_frac) << 29;
979 f64_frac = recip_sqrt_estimate(&f32_exp, 380, f64_frac);
981 /* result = sign : result_exp<4:0> : estimate<7:0> : Zeros(15) */
982 val = deposit32(0, 31, 1, f32_sign);
983 val = deposit32(val, 23, 8, f32_exp);
984 val = deposit32(val, 15, 8, extract64(f64_frac, 52 - 8, 8));
985 return make_float32(val);
988 float64 HELPER(rsqrte_f64)(float64 input, void *fpstp)
990 float_status *s = fpstp;
991 float64 f64 = float64_squash_input_denormal(input, s);
992 uint64_t val = float64_val(f64);
993 bool f64_sign = float64_is_neg(f64);
994 int f64_exp = extract64(val, 52, 11);
995 uint64_t f64_frac = extract64(val, 0, 52);
997 if (float64_is_any_nan(f64)) {
998 float64 nan = f64;
999 if (float64_is_signaling_nan(f64, s)) {
1000 float_raise(float_flag_invalid, s);
1001 nan = float64_silence_nan(f64, s);
1003 if (s->default_nan_mode) {
1004 nan = float64_default_nan(s);
1006 return nan;
1007 } else if (float64_is_zero(f64)) {
1008 float_raise(float_flag_divbyzero, s);
1009 return float64_set_sign(float64_infinity, float64_is_neg(f64));
1010 } else if (float64_is_neg(f64)) {
1011 float_raise(float_flag_invalid, s);
1012 return float64_default_nan(s);
1013 } else if (float64_is_infinity(f64)) {
1014 return float64_zero;
1017 f64_frac = recip_sqrt_estimate(&f64_exp, 3068, f64_frac);
1019 /* result = sign : result_exp<4:0> : estimate<7:0> : Zeros(44) */
1020 val = deposit64(0, 61, 1, f64_sign);
1021 val = deposit64(val, 52, 11, f64_exp);
1022 val = deposit64(val, 44, 8, extract64(f64_frac, 52 - 8, 8));
1023 return make_float64(val);
1026 uint32_t HELPER(recpe_u32)(uint32_t a, void *fpstp)
1028 /* float_status *s = fpstp; */
1029 int input, estimate;
1031 if ((a & 0x80000000) == 0) {
1032 return 0xffffffff;
1035 input = extract32(a, 23, 9);
1036 estimate = recip_estimate(input);
1038 return deposit32(0, (32 - 9), 9, estimate);
1041 uint32_t HELPER(rsqrte_u32)(uint32_t a, void *fpstp)
1043 int estimate;
1045 if ((a & 0xc0000000) == 0) {
1046 return 0xffffffff;
1049 estimate = do_recip_sqrt_estimate(extract32(a, 23, 9));
1051 return deposit32(0, 23, 9, estimate);
1054 /* VFPv4 fused multiply-accumulate */
1055 float32 VFP_HELPER(muladd, s)(float32 a, float32 b, float32 c, void *fpstp)
1057 float_status *fpst = fpstp;
1058 return float32_muladd(a, b, c, 0, fpst);
1061 float64 VFP_HELPER(muladd, d)(float64 a, float64 b, float64 c, void *fpstp)
1063 float_status *fpst = fpstp;
1064 return float64_muladd(a, b, c, 0, fpst);
1067 /* ARMv8 round to integral */
1068 float32 HELPER(rints_exact)(float32 x, void *fp_status)
1070 return float32_round_to_int(x, fp_status);
1073 float64 HELPER(rintd_exact)(float64 x, void *fp_status)
1075 return float64_round_to_int(x, fp_status);
1078 float32 HELPER(rints)(float32 x, void *fp_status)
1080 int old_flags = get_float_exception_flags(fp_status), new_flags;
1081 float32 ret;
1083 ret = float32_round_to_int(x, fp_status);
1085 /* Suppress any inexact exceptions the conversion produced */
1086 if (!(old_flags & float_flag_inexact)) {
1087 new_flags = get_float_exception_flags(fp_status);
1088 set_float_exception_flags(new_flags & ~float_flag_inexact, fp_status);
1091 return ret;
1094 float64 HELPER(rintd)(float64 x, void *fp_status)
1096 int old_flags = get_float_exception_flags(fp_status), new_flags;
1097 float64 ret;
1099 ret = float64_round_to_int(x, fp_status);
1101 new_flags = get_float_exception_flags(fp_status);
1103 /* Suppress any inexact exceptions the conversion produced */
1104 if (!(old_flags & float_flag_inexact)) {
1105 new_flags = get_float_exception_flags(fp_status);
1106 set_float_exception_flags(new_flags & ~float_flag_inexact, fp_status);
1109 return ret;
1112 /* Convert ARM rounding mode to softfloat */
1113 int arm_rmode_to_sf(int rmode)
1115 switch (rmode) {
1116 case FPROUNDING_TIEAWAY:
1117 rmode = float_round_ties_away;
1118 break;
1119 case FPROUNDING_ODD:
1120 /* FIXME: add support for TIEAWAY and ODD */
1121 qemu_log_mask(LOG_UNIMP, "arm: unimplemented rounding mode: %d\n",
1122 rmode);
1123 /* fall through for now */
1124 case FPROUNDING_TIEEVEN:
1125 default:
1126 rmode = float_round_nearest_even;
1127 break;
1128 case FPROUNDING_POSINF:
1129 rmode = float_round_up;
1130 break;
1131 case FPROUNDING_NEGINF:
1132 rmode = float_round_down;
1133 break;
1134 case FPROUNDING_ZERO:
1135 rmode = float_round_to_zero;
1136 break;
1138 return rmode;
1142 * Implement float64 to int32_t conversion without saturation;
1143 * the result is supplied modulo 2^32.
1145 uint64_t HELPER(fjcvtzs)(float64 value, void *vstatus)
1147 float_status *status = vstatus;
1148 uint32_t exp, sign;
1149 uint64_t frac;
1150 uint32_t inexact = 1; /* !Z */
1152 sign = extract64(value, 63, 1);
1153 exp = extract64(value, 52, 11);
1154 frac = extract64(value, 0, 52);
1156 if (exp == 0) {
1157 /* While not inexact for IEEE FP, -0.0 is inexact for JavaScript. */
1158 inexact = sign;
1159 if (frac != 0) {
1160 if (status->flush_inputs_to_zero) {
1161 float_raise(float_flag_input_denormal, status);
1162 } else {
1163 float_raise(float_flag_inexact, status);
1164 inexact = 1;
1167 frac = 0;
1168 } else if (exp == 0x7ff) {
1169 /* This operation raises Invalid for both NaN and overflow (Inf). */
1170 float_raise(float_flag_invalid, status);
1171 frac = 0;
1172 } else {
1173 int true_exp = exp - 1023;
1174 int shift = true_exp - 52;
1176 /* Restore implicit bit. */
1177 frac |= 1ull << 52;
1179 /* Shift the fraction into place. */
1180 if (shift >= 0) {
1181 /* The number is so large we must shift the fraction left. */
1182 if (shift >= 64) {
1183 /* The fraction is shifted out entirely. */
1184 frac = 0;
1185 } else {
1186 frac <<= shift;
1188 } else if (shift > -64) {
1189 /* Normal case -- shift right and notice if bits shift out. */
1190 inexact = (frac << (64 + shift)) != 0;
1191 frac >>= -shift;
1192 } else {
1193 /* The fraction is shifted out entirely. */
1194 frac = 0;
1197 /* Notice overflow or inexact exceptions. */
1198 if (true_exp > 31 || frac > (sign ? 0x80000000ull : 0x7fffffff)) {
1199 /* Overflow, for which this operation raises invalid. */
1200 float_raise(float_flag_invalid, status);
1201 inexact = 1;
1202 } else if (inexact) {
1203 float_raise(float_flag_inexact, status);
1206 /* Honor the sign. */
1207 if (sign) {
1208 frac = -frac;
1212 /* Pack the result and the env->ZF representation of Z together. */
1213 return deposit64(frac, 32, 32, inexact);
1216 uint32_t HELPER(vjcvt)(float64 value, CPUARMState *env)
1218 uint64_t pair = HELPER(fjcvtzs)(value, &env->vfp.fp_status);
1219 uint32_t result = pair;
1220 uint32_t z = (pair >> 32) == 0;
1222 /* Store Z, clear NCV, in FPSCR.NZCV. */
1223 env->vfp.xregs[ARM_VFP_FPSCR]
1224 = (env->vfp.xregs[ARM_VFP_FPSCR] & ~CPSR_NZCV) | (z * CPSR_Z);
1226 return result;
1229 /* Round a float32 to an integer that fits in int32_t or int64_t. */
1230 static float32 frint_s(float32 f, float_status *fpst, int intsize)
1232 int old_flags = get_float_exception_flags(fpst);
1233 uint32_t exp = extract32(f, 23, 8);
1235 if (unlikely(exp == 0xff)) {
1236 /* NaN or Inf. */
1237 goto overflow;
1240 /* Round and re-extract the exponent. */
1241 f = float32_round_to_int(f, fpst);
1242 exp = extract32(f, 23, 8);
1244 /* Validate the range of the result. */
1245 if (exp < 126 + intsize) {
1246 /* abs(F) <= INT{N}_MAX */
1247 return f;
1249 if (exp == 126 + intsize) {
1250 uint32_t sign = extract32(f, 31, 1);
1251 uint32_t frac = extract32(f, 0, 23);
1252 if (sign && frac == 0) {
1253 /* F == INT{N}_MIN */
1254 return f;
1258 overflow:
1260 * Raise Invalid and return INT{N}_MIN as a float. Revert any
1261 * inexact exception float32_round_to_int may have raised.
1263 set_float_exception_flags(old_flags | float_flag_invalid, fpst);
1264 return (0x100u + 126u + intsize) << 23;
1267 float32 HELPER(frint32_s)(float32 f, void *fpst)
1269 return frint_s(f, fpst, 32);
1272 float32 HELPER(frint64_s)(float32 f, void *fpst)
1274 return frint_s(f, fpst, 64);
1277 /* Round a float64 to an integer that fits in int32_t or int64_t. */
1278 static float64 frint_d(float64 f, float_status *fpst, int intsize)
1280 int old_flags = get_float_exception_flags(fpst);
1281 uint32_t exp = extract64(f, 52, 11);
1283 if (unlikely(exp == 0x7ff)) {
1284 /* NaN or Inf. */
1285 goto overflow;
1288 /* Round and re-extract the exponent. */
1289 f = float64_round_to_int(f, fpst);
1290 exp = extract64(f, 52, 11);
1292 /* Validate the range of the result. */
1293 if (exp < 1022 + intsize) {
1294 /* abs(F) <= INT{N}_MAX */
1295 return f;
1297 if (exp == 1022 + intsize) {
1298 uint64_t sign = extract64(f, 63, 1);
1299 uint64_t frac = extract64(f, 0, 52);
1300 if (sign && frac == 0) {
1301 /* F == INT{N}_MIN */
1302 return f;
1306 overflow:
1308 * Raise Invalid and return INT{N}_MIN as a float. Revert any
1309 * inexact exception float64_round_to_int may have raised.
1311 set_float_exception_flags(old_flags | float_flag_invalid, fpst);
1312 return (uint64_t)(0x800 + 1022 + intsize) << 52;
1315 float64 HELPER(frint32_d)(float64 f, void *fpst)
1317 return frint_d(f, fpst, 32);
1320 float64 HELPER(frint64_d)(float64 f, void *fpst)
1322 return frint_d(f, fpst, 64);
1325 #endif