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Andreas Färber8d725fa2011-03-07 01:34:04 +01001/*
2 * QEMU float support
3 *
4 * Derived from SoftFloat.
5 */
6
bellard158142c2005-03-13 16:54:06 +00007/*============================================================================
8
9This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
10Package, Release 2b.
11
12Written by John R. Hauser. This work was made possible in part by the
13International Computer Science Institute, located at Suite 600, 1947 Center
14Street, Berkeley, California 94704. Funding was partially provided by the
15National Science Foundation under grant MIP-9311980. The original version
16of this code was written as part of a project to build a fixed-point vector
17processor in collaboration with the University of California at Berkeley,
18overseen by Profs. Nelson Morgan and John Wawrzynek. More information
19is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
20arithmetic/SoftFloat.html'.
21
22THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
23been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
24RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
25AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
26COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
27EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
28INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
29OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
30
31Derivative works are acceptable, even for commercial purposes, so long as
32(1) the source code for the derivative work includes prominent notice that
33the work is derivative, and (2) the source code includes prominent notice with
34these four paragraphs for those parts of this code that are retained.
35
36=============================================================================*/
37
38#ifndef SOFTFLOAT_H
39#define SOFTFLOAT_H
40
Juan Quintela75b5a692009-07-27 16:13:23 +020041#if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
ths0475a5c2007-04-01 18:54:44 +000042#include <sunmath.h>
43#endif
44
bellard158142c2005-03-13 16:54:06 +000045#include <inttypes.h>
Paolo Bonzini789ec7c2011-07-28 12:10:29 +020046#include "config-host.h"
Paolo Bonzini1de7afc2012-12-17 18:20:00 +010047#include "qemu/osdep.h"
bellard158142c2005-03-13 16:54:06 +000048
49/*----------------------------------------------------------------------------
50| Each of the following `typedef's defines the most convenient type that holds
51| integers of at least as many bits as specified. For example, `uint8' should
52| be the most convenient type that can hold unsigned integers of as many as
53| 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
54| implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
55| to the same as `int'.
56*----------------------------------------------------------------------------*/
bellard750afe92006-10-28 19:27:11 +000057typedef uint8_t flag;
bellard158142c2005-03-13 16:54:06 +000058typedef uint8_t uint8;
59typedef int8_t int8;
bellard158142c2005-03-13 16:54:06 +000060typedef unsigned int uint32;
61typedef signed int int32;
62typedef uint64_t uint64;
63typedef int64_t int64;
64
bellard158142c2005-03-13 16:54:06 +000065#define LIT64( a ) a##LL
66#define INLINE static inline
67
bellard158142c2005-03-13 16:54:06 +000068#define STATUS_PARAM , float_status *status
69#define STATUS(field) status->field
70#define STATUS_VAR , status
71
bellard1d6bda32005-03-13 18:52:29 +000072/*----------------------------------------------------------------------------
73| Software IEC/IEEE floating-point ordering relations
74*----------------------------------------------------------------------------*/
75enum {
76 float_relation_less = -1,
77 float_relation_equal = 0,
78 float_relation_greater = 1,
79 float_relation_unordered = 2
80};
81
bellard158142c2005-03-13 16:54:06 +000082/*----------------------------------------------------------------------------
83| Software IEC/IEEE floating-point types.
84*----------------------------------------------------------------------------*/
pbrookf090c9d2007-11-18 14:33:24 +000085/* Use structures for soft-float types. This prevents accidentally mixing
86 them with native int/float types. A sufficiently clever compiler and
87 sane ABI should be able to see though these structs. However
88 x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */
89//#define USE_SOFTFLOAT_STRUCT_TYPES
90#ifdef USE_SOFTFLOAT_STRUCT_TYPES
91typedef struct {
Peter Maydellbb4d4bb2011-02-10 11:28:56 +000092 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; })
Peter Maydelld5138cf2011-02-10 13:59:34 +000096#define const_float16(x) { x }
Peter Maydellbb4d4bb2011-02-10 11:28:56 +000097typedef struct {
pbrookf090c9d2007-11-18 14:33:24 +000098 uint32_t v;
99} float32;
100/* The cast ensures an error if the wrong type is passed. */
101#define float32_val(x) (((float32)(x)).v)
102#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
Peter Maydelld5138cf2011-02-10 13:59:34 +0000103#define const_float32(x) { x }
pbrookf090c9d2007-11-18 14:33:24 +0000104typedef 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; })
Peter Maydelld5138cf2011-02-10 13:59:34 +0000109#define const_float64(x) { x }
pbrookf090c9d2007-11-18 14:33:24 +0000110#else
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000111typedef uint16_t float16;
bellard158142c2005-03-13 16:54:06 +0000112typedef uint32_t float32;
113typedef uint64_t float64;
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000114#define float16_val(x) (x)
pbrookf090c9d2007-11-18 14:33:24 +0000115#define float32_val(x) (x)
116#define float64_val(x) (x)
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000117#define make_float16(x) (x)
pbrookf090c9d2007-11-18 14:33:24 +0000118#define make_float32(x) (x)
119#define make_float64(x) (x)
Peter Maydelld5138cf2011-02-10 13:59:34 +0000120#define const_float16(x) (x)
121#define const_float32(x) (x)
122#define const_float64(x) (x)
pbrookf090c9d2007-11-18 14:33:24 +0000123#endif
bellard158142c2005-03-13 16:54:06 +0000124typedef struct {
125 uint64_t low;
126 uint16_t high;
127} floatx80;
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200128#define make_floatx80(exp, mant) ((floatx80) { mant, exp })
Avi Kivity3bf7e402011-12-27 17:11:20 +0200129#define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
bellard158142c2005-03-13 16:54:06 +0000130typedef struct {
Juan Quintelae2542fe2009-07-27 16:13:06 +0200131#ifdef HOST_WORDS_BIGENDIAN
bellard158142c2005-03-13 16:54:06 +0000132 uint64_t high, low;
133#else
134 uint64_t low, high;
135#endif
136} float128;
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200137#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
Avi Kivity3bf7e402011-12-27 17:11:20 +0200138#define make_float128_init(high_, low_) { .high = high_, .low = low_ }
bellard158142c2005-03-13 16:54:06 +0000139
140/*----------------------------------------------------------------------------
141| Software IEC/IEEE floating-point underflow tininess-detection mode.
142*----------------------------------------------------------------------------*/
143enum {
144 float_tininess_after_rounding = 0,
145 float_tininess_before_rounding = 1
146};
147
148/*----------------------------------------------------------------------------
149| Software IEC/IEEE floating-point rounding mode.
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| Software IEC/IEEE floating-point exception flags.
160*----------------------------------------------------------------------------*/
161enum {
162 float_flag_invalid = 1,
163 float_flag_divbyzero = 4,
164 float_flag_overflow = 8,
165 float_flag_underflow = 16,
Peter Maydell37d18662011-01-06 19:37:53 +0000166 float_flag_inexact = 32,
Peter Maydelle6afc872011-05-19 14:46:17 +0100167 float_flag_input_denormal = 64,
168 float_flag_output_denormal = 128
bellard158142c2005-03-13 16:54:06 +0000169};
170
171typedef struct float_status {
172 signed char float_detect_tininess;
173 signed char float_rounding_mode;
174 signed char float_exception_flags;
bellard158142c2005-03-13 16:54:06 +0000175 signed char floatx80_rounding_precision;
Peter Maydell37d18662011-01-06 19:37:53 +0000176 /* should denormalised results go to zero and set the inexact flag? */
pbrookfe76d972008-12-19 14:33:59 +0000177 flag flush_to_zero;
Peter Maydell37d18662011-01-06 19:37:53 +0000178 /* should denormalised inputs go to zero and set the input_denormal flag? */
179 flag flush_inputs_to_zero;
pbrook5c7908e2008-12-19 13:53:37 +0000180 flag default_nan_mode;
bellard158142c2005-03-13 16:54:06 +0000181} float_status;
182
Peter Maydellc29aca42011-04-12 13:56:40 +0100183INLINE void set_float_detect_tininess(int val STATUS_PARAM)
184{
185 STATUS(float_detect_tininess) = val;
186}
Peter Maydell879d0962014-01-07 17:19:11 +0000187INLINE void set_float_rounding_mode(int val STATUS_PARAM)
188{
189 STATUS(float_rounding_mode) = val;
190}
191INLINE void set_float_exception_flags(int val STATUS_PARAM)
192{
193 STATUS(float_exception_flags) = val;
194}
195INLINE void set_floatx80_rounding_precision(int val STATUS_PARAM)
196{
197 STATUS(floatx80_rounding_precision) = val;
198}
pbrookfe76d972008-12-19 14:33:59 +0000199INLINE void set_flush_to_zero(flag val STATUS_PARAM)
200{
201 STATUS(flush_to_zero) = val;
202}
Peter Maydell37d18662011-01-06 19:37:53 +0000203INLINE void set_flush_inputs_to_zero(flag val STATUS_PARAM)
204{
205 STATUS(flush_inputs_to_zero) = val;
206}
pbrook5c7908e2008-12-19 13:53:37 +0000207INLINE void set_default_nan_mode(flag val STATUS_PARAM)
208{
209 STATUS(default_nan_mode) = val;
210}
Peter Maydell879d0962014-01-07 17:19:11 +0000211INLINE int get_float_detect_tininess(float_status *status)
212{
213 return STATUS(float_detect_tininess);
214}
215INLINE int get_float_rounding_mode(float_status *status)
216{
217 return STATUS(float_rounding_mode);
218}
bellard1d6bda32005-03-13 18:52:29 +0000219INLINE int get_float_exception_flags(float_status *status)
220{
221 return STATUS(float_exception_flags);
222}
Peter Maydell879d0962014-01-07 17:19:11 +0000223INLINE int get_floatx80_rounding_precision(float_status *status)
224{
225 return STATUS(floatx80_rounding_precision);
226}
227INLINE flag get_flush_to_zero(float_status *status)
228{
229 return STATUS(flush_to_zero);
230}
231INLINE flag get_flush_inputs_to_zero(float_status *status)
232{
233 return STATUS(flush_inputs_to_zero);
234}
235INLINE flag get_default_nan_mode(float_status *status)
236{
237 return STATUS(default_nan_mode);
238}
bellard158142c2005-03-13 16:54:06 +0000239
240/*----------------------------------------------------------------------------
241| Routine to raise any or all of the software IEC/IEEE floating-point
242| exception flags.
243*----------------------------------------------------------------------------*/
bellardec530c82006-04-25 22:36:06 +0000244void float_raise( int8 flags STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000245
246/*----------------------------------------------------------------------------
Peter Maydell369be8f2011-10-19 16:14:06 +0000247| Options to indicate which negations to perform in float*_muladd()
248| Using these differs from negating an input or output before calling
249| the muladd function in that this means that a NaN doesn't have its
250| sign bit inverted before it is propagated.
251*----------------------------------------------------------------------------*/
252enum {
253 float_muladd_negate_c = 1,
254 float_muladd_negate_product = 2,
Max Filippov66176802012-09-19 04:23:50 +0400255 float_muladd_negate_result = 4,
Peter Maydell369be8f2011-10-19 16:14:06 +0000256};
257
258/*----------------------------------------------------------------------------
bellard158142c2005-03-13 16:54:06 +0000259| Software IEC/IEEE integer-to-floating-point conversion routines.
260*----------------------------------------------------------------------------*/
Peter Maydellc4850f92014-01-07 17:17:49 +0000261float32 int32_to_float32(int32_t STATUS_PARAM);
262float64 int32_to_float64(int32_t STATUS_PARAM);
263float32 uint32_to_float32(uint32_t STATUS_PARAM);
264float64 uint32_to_float64(uint32_t STATUS_PARAM);
265floatx80 int32_to_floatx80(int32_t STATUS_PARAM);
266float128 int32_to_float128(int32_t STATUS_PARAM);
267float32 int64_to_float32(int64_t STATUS_PARAM);
268float32 uint64_to_float32(uint64_t STATUS_PARAM);
269float64 int64_to_float64(int64_t STATUS_PARAM);
270float64 uint64_to_float64(uint64_t STATUS_PARAM);
271floatx80 int64_to_floatx80(int64_t STATUS_PARAM);
272float128 int64_to_float128(int64_t STATUS_PARAM);
273float128 uint64_to_float128(uint64_t STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000274
Peter Maydell8afbdab2014-01-07 17:17:49 +0000275/* We provide the int16 versions for symmetry of API with float-to-int */
276INLINE float32 int16_to_float32(int16_t v STATUS_PARAM)
277{
278 return int32_to_float32(v STATUS_VAR);
279}
280
281INLINE float32 uint16_to_float32(uint16_t v STATUS_PARAM)
282{
283 return uint32_to_float32(v STATUS_VAR);
284}
285
286INLINE float64 int16_to_float64(int16_t v STATUS_PARAM)
287{
288 return int32_to_float64(v STATUS_VAR);
289}
290
291INLINE float64 uint16_to_float64(uint16_t v STATUS_PARAM)
292{
293 return uint32_to_float64(v STATUS_VAR);
294}
295
bellard158142c2005-03-13 16:54:06 +0000296/*----------------------------------------------------------------------------
Paul Brook60011492009-11-19 16:45:20 +0000297| Software half-precision conversion routines.
298*----------------------------------------------------------------------------*/
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000299float16 float32_to_float16( float32, flag STATUS_PARAM );
300float32 float16_to_float32( float16, flag STATUS_PARAM );
301
302/*----------------------------------------------------------------------------
303| Software half-precision operations.
304*----------------------------------------------------------------------------*/
305int float16_is_quiet_nan( float16 );
306int float16_is_signaling_nan( float16 );
307float16 float16_maybe_silence_nan( float16 );
Paul Brook60011492009-11-19 16:45:20 +0000308
Max Filippov213ff4e2012-09-19 04:23:51 +0400309INLINE int float16_is_any_nan(float16 a)
310{
311 return ((float16_val(a) & ~0x8000) > 0x7c00);
312}
313
Paul Brook60011492009-11-19 16:45:20 +0000314/*----------------------------------------------------------------------------
Christophe Lyon85596662011-02-21 17:38:44 +0100315| The pattern for a default generated half-precision NaN.
316*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200317extern const float16 float16_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100318
319/*----------------------------------------------------------------------------
bellard158142c2005-03-13 16:54:06 +0000320| Software IEC/IEEE single-precision conversion routines.
321*----------------------------------------------------------------------------*/
Will Newtonf581bf52014-01-07 17:17:48 +0000322int_fast16_t float32_to_int16(float32 STATUS_PARAM);
323uint_fast16_t float32_to_uint16(float32 STATUS_PARAM);
Andreas Färber94a49d82012-04-26 00:15:56 +0200324int_fast16_t float32_to_int16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200325uint_fast16_t float32_to_uint16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100326int32 float32_to_int32( float32 STATUS_PARAM );
327int32 float32_to_int32_round_to_zero( float32 STATUS_PARAM );
328uint32 float32_to_uint32( float32 STATUS_PARAM );
329uint32 float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
330int64 float32_to_int64( float32 STATUS_PARAM );
Tom Musta2f18bbf2014-01-07 17:17:50 +0000331uint64 float32_to_uint64(float32 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100332int64 float32_to_int64_round_to_zero( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000333float64 float32_to_float64( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000334floatx80 float32_to_floatx80( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000335float128 float32_to_float128( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000336
337/*----------------------------------------------------------------------------
338| Software IEC/IEEE single-precision operations.
339*----------------------------------------------------------------------------*/
340float32 float32_round_to_int( float32 STATUS_PARAM );
341float32 float32_add( float32, float32 STATUS_PARAM );
342float32 float32_sub( float32, float32 STATUS_PARAM );
343float32 float32_mul( float32, float32 STATUS_PARAM );
344float32 float32_div( float32, float32 STATUS_PARAM );
345float32 float32_rem( float32, float32 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000346float32 float32_muladd(float32, float32, float32, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000347float32 float32_sqrt( float32 STATUS_PARAM );
Aurelien Jarno8229c992009-02-05 12:04:05 +0100348float32 float32_exp2( float32 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000349float32 float32_log2( float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200350int float32_eq( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000351int float32_le( float32, float32 STATUS_PARAM );
352int float32_lt( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200353int float32_unordered( float32, float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200354int float32_eq_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000355int float32_le_quiet( float32, float32 STATUS_PARAM );
356int float32_lt_quiet( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200357int float32_unordered_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000358int float32_compare( float32, float32 STATUS_PARAM );
359int float32_compare_quiet( float32, float32 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000360float32 float32_min(float32, float32 STATUS_PARAM);
361float32 float32_max(float32, float32 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000362float32 float32_minnum(float32, float32 STATUS_PARAM);
363float32 float32_maxnum(float32, float32 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000364int float32_is_quiet_nan( float32 );
bellard750afe92006-10-28 19:27:11 +0000365int float32_is_signaling_nan( float32 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000366float32 float32_maybe_silence_nan( float32 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000367float32 float32_scalbn( float32, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000368
bellard1d6bda32005-03-13 18:52:29 +0000369INLINE float32 float32_abs(float32 a)
370{
Peter Maydell37d18662011-01-06 19:37:53 +0000371 /* Note that abs does *not* handle NaN specially, nor does
372 * it flush denormal inputs to zero.
373 */
pbrookf090c9d2007-11-18 14:33:24 +0000374 return make_float32(float32_val(a) & 0x7fffffff);
bellard1d6bda32005-03-13 18:52:29 +0000375}
376
377INLINE float32 float32_chs(float32 a)
378{
Peter Maydell37d18662011-01-06 19:37:53 +0000379 /* Note that chs does *not* handle NaN specially, nor does
380 * it flush denormal inputs to zero.
381 */
pbrookf090c9d2007-11-18 14:33:24 +0000382 return make_float32(float32_val(a) ^ 0x80000000);
bellard1d6bda32005-03-13 18:52:29 +0000383}
384
aurel32c52ab6f2008-12-15 17:14:20 +0000385INLINE int float32_is_infinity(float32 a)
386{
aurel32dadd71a2008-12-18 22:43:16 +0000387 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
aurel32c52ab6f2008-12-15 17:14:20 +0000388}
389
390INLINE int float32_is_neg(float32 a)
391{
392 return float32_val(a) >> 31;
393}
394
395INLINE int float32_is_zero(float32 a)
396{
397 return (float32_val(a) & 0x7fffffff) == 0;
398}
399
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000400INLINE int float32_is_any_nan(float32 a)
401{
402 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
403}
404
Peter Maydell6f3300a2011-01-14 20:39:18 +0100405INLINE int float32_is_zero_or_denormal(float32 a)
406{
407 return (float32_val(a) & 0x7f800000) == 0;
408}
409
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100410INLINE float32 float32_set_sign(float32 a, int sign)
411{
412 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
413}
414
pbrookf090c9d2007-11-18 14:33:24 +0000415#define float32_zero make_float32(0)
aurel32196cfc82009-02-04 13:52:27 +0000416#define float32_one make_float32(0x3f800000)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100417#define float32_ln2 make_float32(0x3f317218)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200418#define float32_pi make_float32(0x40490fdb)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100419#define float32_half make_float32(0x3f000000)
420#define float32_infinity make_float32(0x7f800000)
pbrookf090c9d2007-11-18 14:33:24 +0000421
Christophe Lyon85596662011-02-21 17:38:44 +0100422
423/*----------------------------------------------------------------------------
424| The pattern for a default generated single-precision NaN.
425*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200426extern const float32 float32_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100427
bellard158142c2005-03-13 16:54:06 +0000428/*----------------------------------------------------------------------------
429| Software IEC/IEEE double-precision conversion routines.
430*----------------------------------------------------------------------------*/
Will Newtonf581bf52014-01-07 17:17:48 +0000431int_fast16_t float64_to_int16(float64 STATUS_PARAM);
432uint_fast16_t float64_to_uint16(float64 STATUS_PARAM);
Andreas Färber94a49d82012-04-26 00:15:56 +0200433int_fast16_t float64_to_int16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200434uint_fast16_t float64_to_uint16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100435int32 float64_to_int32( float64 STATUS_PARAM );
436int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
437uint32 float64_to_uint32( float64 STATUS_PARAM );
438uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
439int64 float64_to_int64( float64 STATUS_PARAM );
440int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
441uint64 float64_to_uint64 (float64 a STATUS_PARAM);
442uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000443float32 float64_to_float32( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000444floatx80 float64_to_floatx80( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000445float128 float64_to_float128( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000446
447/*----------------------------------------------------------------------------
448| Software IEC/IEEE double-precision operations.
449*----------------------------------------------------------------------------*/
450float64 float64_round_to_int( float64 STATUS_PARAM );
pbrooke6e59062006-10-22 00:18:54 +0000451float64 float64_trunc_to_int( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000452float64 float64_add( float64, float64 STATUS_PARAM );
453float64 float64_sub( float64, float64 STATUS_PARAM );
454float64 float64_mul( float64, float64 STATUS_PARAM );
455float64 float64_div( float64, float64 STATUS_PARAM );
456float64 float64_rem( float64, float64 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000457float64 float64_muladd(float64, float64, float64, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000458float64 float64_sqrt( float64 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000459float64 float64_log2( float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200460int float64_eq( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000461int float64_le( float64, float64 STATUS_PARAM );
462int float64_lt( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200463int float64_unordered( float64, float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200464int float64_eq_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000465int float64_le_quiet( float64, float64 STATUS_PARAM );
466int float64_lt_quiet( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200467int float64_unordered_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000468int float64_compare( float64, float64 STATUS_PARAM );
469int float64_compare_quiet( float64, float64 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000470float64 float64_min(float64, float64 STATUS_PARAM);
471float64 float64_max(float64, float64 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000472float64 float64_minnum(float64, float64 STATUS_PARAM);
473float64 float64_maxnum(float64, float64 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000474int float64_is_quiet_nan( float64 a );
bellard750afe92006-10-28 19:27:11 +0000475int float64_is_signaling_nan( float64 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000476float64 float64_maybe_silence_nan( float64 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000477float64 float64_scalbn( float64, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000478
bellard1d6bda32005-03-13 18:52:29 +0000479INLINE float64 float64_abs(float64 a)
480{
Peter Maydell37d18662011-01-06 19:37:53 +0000481 /* Note that abs does *not* handle NaN specially, nor does
482 * it flush denormal inputs to zero.
483 */
pbrookf090c9d2007-11-18 14:33:24 +0000484 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
bellard1d6bda32005-03-13 18:52:29 +0000485}
486
487INLINE float64 float64_chs(float64 a)
488{
Peter Maydell37d18662011-01-06 19:37:53 +0000489 /* Note that chs does *not* handle NaN specially, nor does
490 * it flush denormal inputs to zero.
491 */
pbrookf090c9d2007-11-18 14:33:24 +0000492 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
bellard1d6bda32005-03-13 18:52:29 +0000493}
494
aurel32c52ab6f2008-12-15 17:14:20 +0000495INLINE int float64_is_infinity(float64 a)
496{
497 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
498}
499
500INLINE int float64_is_neg(float64 a)
501{
502 return float64_val(a) >> 63;
503}
504
505INLINE int float64_is_zero(float64 a)
506{
507 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
508}
509
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000510INLINE int float64_is_any_nan(float64 a)
511{
512 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
513}
514
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200515INLINE int float64_is_zero_or_denormal(float64 a)
516{
517 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
518}
519
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100520INLINE float64 float64_set_sign(float64 a, int sign)
521{
522 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
523 | ((int64_t)sign << 63));
524}
525
pbrookf090c9d2007-11-18 14:33:24 +0000526#define float64_zero make_float64(0)
aurel32196cfc82009-02-04 13:52:27 +0000527#define float64_one make_float64(0x3ff0000000000000LL)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100528#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200529#define float64_pi make_float64(0x400921fb54442d18LL)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100530#define float64_half make_float64(0x3fe0000000000000LL)
531#define float64_infinity make_float64(0x7ff0000000000000LL)
pbrookf090c9d2007-11-18 14:33:24 +0000532
Christophe Lyon85596662011-02-21 17:38:44 +0100533/*----------------------------------------------------------------------------
534| The pattern for a default generated double-precision NaN.
535*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200536extern const float64 float64_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100537
bellard158142c2005-03-13 16:54:06 +0000538/*----------------------------------------------------------------------------
539| Software IEC/IEEE extended double-precision conversion routines.
540*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100541int32 floatx80_to_int32( floatx80 STATUS_PARAM );
542int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
543int64 floatx80_to_int64( floatx80 STATUS_PARAM );
544int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000545float32 floatx80_to_float32( floatx80 STATUS_PARAM );
546float64 floatx80_to_float64( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000547float128 floatx80_to_float128( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000548
549/*----------------------------------------------------------------------------
550| Software IEC/IEEE extended double-precision operations.
551*----------------------------------------------------------------------------*/
552floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
553floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
554floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
555floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
556floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
557floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
558floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200559int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000560int floatx80_le( floatx80, floatx80 STATUS_PARAM );
561int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200562int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200563int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000564int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
565int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200566int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnof6714d32011-04-20 13:04:22 +0200567int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
568int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000569int floatx80_is_quiet_nan( floatx80 );
bellard750afe92006-10-28 19:27:11 +0000570int floatx80_is_signaling_nan( floatx80 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100571floatx80 floatx80_maybe_silence_nan( floatx80 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000572floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000573
bellard1d6bda32005-03-13 18:52:29 +0000574INLINE floatx80 floatx80_abs(floatx80 a)
575{
576 a.high &= 0x7fff;
577 return a;
578}
579
580INLINE floatx80 floatx80_chs(floatx80 a)
581{
582 a.high ^= 0x8000;
583 return a;
584}
585
aurel32c52ab6f2008-12-15 17:14:20 +0000586INLINE int floatx80_is_infinity(floatx80 a)
587{
Aurelien Jarnob76235e2011-04-20 13:04:22 +0200588 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
aurel32c52ab6f2008-12-15 17:14:20 +0000589}
590
591INLINE int floatx80_is_neg(floatx80 a)
592{
593 return a.high >> 15;
594}
595
596INLINE int floatx80_is_zero(floatx80 a)
597{
598 return (a.high & 0x7fff) == 0 && a.low == 0;
599}
600
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200601INLINE int floatx80_is_zero_or_denormal(floatx80 a)
602{
603 return (a.high & 0x7fff) == 0;
604}
605
Peter Maydell2bed6522011-01-06 18:34:43 +0000606INLINE int floatx80_is_any_nan(floatx80 a)
607{
608 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
609}
610
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200611#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
612#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
613#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200614#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200615#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
616#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
617
Christophe Lyon85596662011-02-21 17:38:44 +0100618/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200619| The pattern for a default generated extended double-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100620*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200621extern const floatx80 floatx80_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100622
bellard158142c2005-03-13 16:54:06 +0000623/*----------------------------------------------------------------------------
624| Software IEC/IEEE quadruple-precision conversion routines.
625*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100626int32 float128_to_int32( float128 STATUS_PARAM );
627int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
628int64 float128_to_int64( float128 STATUS_PARAM );
629int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000630float32 float128_to_float32( float128 STATUS_PARAM );
631float64 float128_to_float64( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000632floatx80 float128_to_floatx80( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000633
634/*----------------------------------------------------------------------------
635| Software IEC/IEEE quadruple-precision operations.
636*----------------------------------------------------------------------------*/
637float128 float128_round_to_int( float128 STATUS_PARAM );
638float128 float128_add( float128, float128 STATUS_PARAM );
639float128 float128_sub( float128, float128 STATUS_PARAM );
640float128 float128_mul( float128, float128 STATUS_PARAM );
641float128 float128_div( float128, float128 STATUS_PARAM );
642float128 float128_rem( float128, float128 STATUS_PARAM );
643float128 float128_sqrt( float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200644int float128_eq( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000645int float128_le( float128, float128 STATUS_PARAM );
646int float128_lt( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200647int float128_unordered( float128, float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200648int float128_eq_quiet( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000649int float128_le_quiet( float128, float128 STATUS_PARAM );
650int float128_lt_quiet( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200651int float128_unordered_quiet( float128, float128 STATUS_PARAM );
blueswir11f587322007-11-25 18:40:20 +0000652int float128_compare( float128, float128 STATUS_PARAM );
653int float128_compare_quiet( float128, float128 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000654int float128_is_quiet_nan( float128 );
bellard750afe92006-10-28 19:27:11 +0000655int float128_is_signaling_nan( float128 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100656float128 float128_maybe_silence_nan( float128 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000657float128 float128_scalbn( float128, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000658
bellard1d6bda32005-03-13 18:52:29 +0000659INLINE float128 float128_abs(float128 a)
660{
661 a.high &= 0x7fffffffffffffffLL;
662 return a;
663}
664
665INLINE float128 float128_chs(float128 a)
666{
667 a.high ^= 0x8000000000000000LL;
668 return a;
669}
670
aurel32c52ab6f2008-12-15 17:14:20 +0000671INLINE int float128_is_infinity(float128 a)
672{
673 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
674}
675
676INLINE int float128_is_neg(float128 a)
677{
678 return a.high >> 63;
679}
680
681INLINE int float128_is_zero(float128 a)
682{
683 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
684}
685
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200686INLINE int float128_is_zero_or_denormal(float128 a)
687{
688 return (a.high & 0x7fff000000000000LL) == 0;
689}
690
Peter Maydell2bed6522011-01-06 18:34:43 +0000691INLINE int float128_is_any_nan(float128 a)
692{
693 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
694 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
695}
696
Richard Henderson1e397ea2012-12-31 10:09:04 -0800697#define float128_zero make_float128(0, 0)
698
Christophe Lyon85596662011-02-21 17:38:44 +0100699/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200700| The pattern for a default generated quadruple-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100701*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200702extern const float128 float128_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100703
bellard158142c2005-03-13 16:54:06 +0000704#endif /* !SOFTFLOAT_H */