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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
183void set_float_rounding_mode(int val STATUS_PARAM);
bellard1d6bda32005-03-13 18:52:29 +0000184void set_float_exception_flags(int val STATUS_PARAM);
Peter Maydellc29aca42011-04-12 13:56:40 +0100185INLINE void set_float_detect_tininess(int val STATUS_PARAM)
186{
187 STATUS(float_detect_tininess) = val;
188}
pbrookfe76d972008-12-19 14:33:59 +0000189INLINE void set_flush_to_zero(flag val STATUS_PARAM)
190{
191 STATUS(flush_to_zero) = val;
192}
Peter Maydell37d18662011-01-06 19:37:53 +0000193INLINE void set_flush_inputs_to_zero(flag val STATUS_PARAM)
194{
195 STATUS(flush_inputs_to_zero) = val;
196}
pbrook5c7908e2008-12-19 13:53:37 +0000197INLINE void set_default_nan_mode(flag val STATUS_PARAM)
198{
199 STATUS(default_nan_mode) = val;
200}
bellard1d6bda32005-03-13 18:52:29 +0000201INLINE int get_float_exception_flags(float_status *status)
202{
203 return STATUS(float_exception_flags);
204}
bellard158142c2005-03-13 16:54:06 +0000205void set_floatx80_rounding_precision(int val STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000206
207/*----------------------------------------------------------------------------
208| Routine to raise any or all of the software IEC/IEEE floating-point
209| exception flags.
210*----------------------------------------------------------------------------*/
bellardec530c82006-04-25 22:36:06 +0000211void float_raise( int8 flags STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000212
213/*----------------------------------------------------------------------------
Peter Maydell369be8f2011-10-19 16:14:06 +0000214| Options to indicate which negations to perform in float*_muladd()
215| Using these differs from negating an input or output before calling
216| the muladd function in that this means that a NaN doesn't have its
217| sign bit inverted before it is propagated.
218*----------------------------------------------------------------------------*/
219enum {
220 float_muladd_negate_c = 1,
221 float_muladd_negate_product = 2,
Max Filippov66176802012-09-19 04:23:50 +0400222 float_muladd_negate_result = 4,
Peter Maydell369be8f2011-10-19 16:14:06 +0000223};
224
225/*----------------------------------------------------------------------------
bellard158142c2005-03-13 16:54:06 +0000226| Software IEC/IEEE integer-to-floating-point conversion routines.
227*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100228float32 int32_to_float32( int32 STATUS_PARAM );
229float64 int32_to_float64( int32 STATUS_PARAM );
Andreas Färber9f8d2a02011-08-28 20:24:34 +0200230float32 uint32_to_float32( uint32 STATUS_PARAM );
231float64 uint32_to_float64( uint32 STATUS_PARAM );
Andreas Färber87b8cc32011-03-07 01:34:05 +0100232floatx80 int32_to_floatx80( int32 STATUS_PARAM );
Andreas Färber87b8cc32011-03-07 01:34:05 +0100233float128 int32_to_float128( int32 STATUS_PARAM );
Andreas Färber87b8cc32011-03-07 01:34:05 +0100234float32 int64_to_float32( int64 STATUS_PARAM );
235float32 uint64_to_float32( uint64 STATUS_PARAM );
236float64 int64_to_float64( int64 STATUS_PARAM );
237float64 uint64_to_float64( uint64 STATUS_PARAM );
Andreas Färber87b8cc32011-03-07 01:34:05 +0100238floatx80 int64_to_floatx80( int64 STATUS_PARAM );
Andreas Färber87b8cc32011-03-07 01:34:05 +0100239float128 int64_to_float128( int64 STATUS_PARAM );
Richard Henderson1e397ea2012-12-31 10:09:04 -0800240float128 uint64_to_float128( uint64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000241
Peter Maydell8afbdab2014-01-07 17:17:49 +0000242/* We provide the int16 versions for symmetry of API with float-to-int */
243INLINE float32 int16_to_float32(int16_t v STATUS_PARAM)
244{
245 return int32_to_float32(v STATUS_VAR);
246}
247
248INLINE float32 uint16_to_float32(uint16_t v STATUS_PARAM)
249{
250 return uint32_to_float32(v STATUS_VAR);
251}
252
253INLINE float64 int16_to_float64(int16_t v STATUS_PARAM)
254{
255 return int32_to_float64(v STATUS_VAR);
256}
257
258INLINE float64 uint16_to_float64(uint16_t v STATUS_PARAM)
259{
260 return uint32_to_float64(v STATUS_VAR);
261}
262
bellard158142c2005-03-13 16:54:06 +0000263/*----------------------------------------------------------------------------
Paul Brook60011492009-11-19 16:45:20 +0000264| Software half-precision conversion routines.
265*----------------------------------------------------------------------------*/
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000266float16 float32_to_float16( float32, flag STATUS_PARAM );
267float32 float16_to_float32( float16, flag STATUS_PARAM );
268
269/*----------------------------------------------------------------------------
270| Software half-precision operations.
271*----------------------------------------------------------------------------*/
272int float16_is_quiet_nan( float16 );
273int float16_is_signaling_nan( float16 );
274float16 float16_maybe_silence_nan( float16 );
Paul Brook60011492009-11-19 16:45:20 +0000275
Max Filippov213ff4e2012-09-19 04:23:51 +0400276INLINE int float16_is_any_nan(float16 a)
277{
278 return ((float16_val(a) & ~0x8000) > 0x7c00);
279}
280
Paul Brook60011492009-11-19 16:45:20 +0000281/*----------------------------------------------------------------------------
Christophe Lyon85596662011-02-21 17:38:44 +0100282| The pattern for a default generated half-precision NaN.
283*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200284extern const float16 float16_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100285
286/*----------------------------------------------------------------------------
bellard158142c2005-03-13 16:54:06 +0000287| Software IEC/IEEE single-precision conversion routines.
288*----------------------------------------------------------------------------*/
Will Newtonf581bf52014-01-07 17:17:48 +0000289int_fast16_t float32_to_int16(float32 STATUS_PARAM);
290uint_fast16_t float32_to_uint16(float32 STATUS_PARAM);
Andreas Färber94a49d82012-04-26 00:15:56 +0200291int_fast16_t float32_to_int16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200292uint_fast16_t float32_to_uint16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100293int32 float32_to_int32( float32 STATUS_PARAM );
294int32 float32_to_int32_round_to_zero( float32 STATUS_PARAM );
295uint32 float32_to_uint32( float32 STATUS_PARAM );
296uint32 float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
297int64 float32_to_int64( float32 STATUS_PARAM );
298int64 float32_to_int64_round_to_zero( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000299float64 float32_to_float64( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000300floatx80 float32_to_floatx80( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000301float128 float32_to_float128( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000302
303/*----------------------------------------------------------------------------
304| Software IEC/IEEE single-precision operations.
305*----------------------------------------------------------------------------*/
306float32 float32_round_to_int( float32 STATUS_PARAM );
307float32 float32_add( float32, float32 STATUS_PARAM );
308float32 float32_sub( float32, float32 STATUS_PARAM );
309float32 float32_mul( float32, float32 STATUS_PARAM );
310float32 float32_div( float32, float32 STATUS_PARAM );
311float32 float32_rem( float32, float32 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000312float32 float32_muladd(float32, float32, float32, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000313float32 float32_sqrt( float32 STATUS_PARAM );
Aurelien Jarno8229c992009-02-05 12:04:05 +0100314float32 float32_exp2( float32 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000315float32 float32_log2( float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200316int float32_eq( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000317int float32_le( float32, float32 STATUS_PARAM );
318int float32_lt( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200319int float32_unordered( float32, float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200320int float32_eq_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000321int float32_le_quiet( float32, float32 STATUS_PARAM );
322int float32_lt_quiet( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200323int float32_unordered_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000324int float32_compare( float32, float32 STATUS_PARAM );
325int float32_compare_quiet( float32, float32 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000326float32 float32_min(float32, float32 STATUS_PARAM);
327float32 float32_max(float32, float32 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000328float32 float32_minnum(float32, float32 STATUS_PARAM);
329float32 float32_maxnum(float32, float32 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000330int float32_is_quiet_nan( float32 );
bellard750afe92006-10-28 19:27:11 +0000331int float32_is_signaling_nan( float32 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000332float32 float32_maybe_silence_nan( float32 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000333float32 float32_scalbn( float32, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000334
bellard1d6bda32005-03-13 18:52:29 +0000335INLINE float32 float32_abs(float32 a)
336{
Peter Maydell37d18662011-01-06 19:37:53 +0000337 /* Note that abs does *not* handle NaN specially, nor does
338 * it flush denormal inputs to zero.
339 */
pbrookf090c9d2007-11-18 14:33:24 +0000340 return make_float32(float32_val(a) & 0x7fffffff);
bellard1d6bda32005-03-13 18:52:29 +0000341}
342
343INLINE float32 float32_chs(float32 a)
344{
Peter Maydell37d18662011-01-06 19:37:53 +0000345 /* Note that chs does *not* handle NaN specially, nor does
346 * it flush denormal inputs to zero.
347 */
pbrookf090c9d2007-11-18 14:33:24 +0000348 return make_float32(float32_val(a) ^ 0x80000000);
bellard1d6bda32005-03-13 18:52:29 +0000349}
350
aurel32c52ab6f2008-12-15 17:14:20 +0000351INLINE int float32_is_infinity(float32 a)
352{
aurel32dadd71a2008-12-18 22:43:16 +0000353 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
aurel32c52ab6f2008-12-15 17:14:20 +0000354}
355
356INLINE int float32_is_neg(float32 a)
357{
358 return float32_val(a) >> 31;
359}
360
361INLINE int float32_is_zero(float32 a)
362{
363 return (float32_val(a) & 0x7fffffff) == 0;
364}
365
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000366INLINE int float32_is_any_nan(float32 a)
367{
368 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
369}
370
Peter Maydell6f3300a2011-01-14 20:39:18 +0100371INLINE int float32_is_zero_or_denormal(float32 a)
372{
373 return (float32_val(a) & 0x7f800000) == 0;
374}
375
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100376INLINE float32 float32_set_sign(float32 a, int sign)
377{
378 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
379}
380
pbrookf090c9d2007-11-18 14:33:24 +0000381#define float32_zero make_float32(0)
aurel32196cfc82009-02-04 13:52:27 +0000382#define float32_one make_float32(0x3f800000)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100383#define float32_ln2 make_float32(0x3f317218)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200384#define float32_pi make_float32(0x40490fdb)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100385#define float32_half make_float32(0x3f000000)
386#define float32_infinity make_float32(0x7f800000)
pbrookf090c9d2007-11-18 14:33:24 +0000387
Christophe Lyon85596662011-02-21 17:38:44 +0100388
389/*----------------------------------------------------------------------------
390| The pattern for a default generated single-precision NaN.
391*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200392extern const float32 float32_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100393
bellard158142c2005-03-13 16:54:06 +0000394/*----------------------------------------------------------------------------
395| Software IEC/IEEE double-precision conversion routines.
396*----------------------------------------------------------------------------*/
Will Newtonf581bf52014-01-07 17:17:48 +0000397int_fast16_t float64_to_int16(float64 STATUS_PARAM);
398uint_fast16_t float64_to_uint16(float64 STATUS_PARAM);
Andreas Färber94a49d82012-04-26 00:15:56 +0200399int_fast16_t float64_to_int16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200400uint_fast16_t float64_to_uint16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100401int32 float64_to_int32( float64 STATUS_PARAM );
402int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
403uint32 float64_to_uint32( float64 STATUS_PARAM );
404uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
405int64 float64_to_int64( float64 STATUS_PARAM );
406int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
407uint64 float64_to_uint64 (float64 a STATUS_PARAM);
408uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000409float32 float64_to_float32( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000410floatx80 float64_to_floatx80( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000411float128 float64_to_float128( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000412
413/*----------------------------------------------------------------------------
414| Software IEC/IEEE double-precision operations.
415*----------------------------------------------------------------------------*/
416float64 float64_round_to_int( float64 STATUS_PARAM );
pbrooke6e59062006-10-22 00:18:54 +0000417float64 float64_trunc_to_int( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000418float64 float64_add( float64, float64 STATUS_PARAM );
419float64 float64_sub( float64, float64 STATUS_PARAM );
420float64 float64_mul( float64, float64 STATUS_PARAM );
421float64 float64_div( float64, float64 STATUS_PARAM );
422float64 float64_rem( float64, float64 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000423float64 float64_muladd(float64, float64, float64, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000424float64 float64_sqrt( float64 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000425float64 float64_log2( float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200426int float64_eq( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000427int float64_le( float64, float64 STATUS_PARAM );
428int float64_lt( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200429int float64_unordered( float64, float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200430int float64_eq_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000431int float64_le_quiet( float64, float64 STATUS_PARAM );
432int float64_lt_quiet( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200433int float64_unordered_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000434int float64_compare( float64, float64 STATUS_PARAM );
435int float64_compare_quiet( float64, float64 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000436float64 float64_min(float64, float64 STATUS_PARAM);
437float64 float64_max(float64, float64 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000438float64 float64_minnum(float64, float64 STATUS_PARAM);
439float64 float64_maxnum(float64, float64 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000440int float64_is_quiet_nan( float64 a );
bellard750afe92006-10-28 19:27:11 +0000441int float64_is_signaling_nan( float64 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000442float64 float64_maybe_silence_nan( float64 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000443float64 float64_scalbn( float64, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000444
bellard1d6bda32005-03-13 18:52:29 +0000445INLINE float64 float64_abs(float64 a)
446{
Peter Maydell37d18662011-01-06 19:37:53 +0000447 /* Note that abs does *not* handle NaN specially, nor does
448 * it flush denormal inputs to zero.
449 */
pbrookf090c9d2007-11-18 14:33:24 +0000450 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
bellard1d6bda32005-03-13 18:52:29 +0000451}
452
453INLINE float64 float64_chs(float64 a)
454{
Peter Maydell37d18662011-01-06 19:37:53 +0000455 /* Note that chs does *not* handle NaN specially, nor does
456 * it flush denormal inputs to zero.
457 */
pbrookf090c9d2007-11-18 14:33:24 +0000458 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
bellard1d6bda32005-03-13 18:52:29 +0000459}
460
aurel32c52ab6f2008-12-15 17:14:20 +0000461INLINE int float64_is_infinity(float64 a)
462{
463 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
464}
465
466INLINE int float64_is_neg(float64 a)
467{
468 return float64_val(a) >> 63;
469}
470
471INLINE int float64_is_zero(float64 a)
472{
473 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
474}
475
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000476INLINE int float64_is_any_nan(float64 a)
477{
478 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
479}
480
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200481INLINE int float64_is_zero_or_denormal(float64 a)
482{
483 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
484}
485
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100486INLINE float64 float64_set_sign(float64 a, int sign)
487{
488 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
489 | ((int64_t)sign << 63));
490}
491
pbrookf090c9d2007-11-18 14:33:24 +0000492#define float64_zero make_float64(0)
aurel32196cfc82009-02-04 13:52:27 +0000493#define float64_one make_float64(0x3ff0000000000000LL)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100494#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200495#define float64_pi make_float64(0x400921fb54442d18LL)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100496#define float64_half make_float64(0x3fe0000000000000LL)
497#define float64_infinity make_float64(0x7ff0000000000000LL)
pbrookf090c9d2007-11-18 14:33:24 +0000498
Christophe Lyon85596662011-02-21 17:38:44 +0100499/*----------------------------------------------------------------------------
500| The pattern for a default generated double-precision NaN.
501*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200502extern const float64 float64_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100503
bellard158142c2005-03-13 16:54:06 +0000504/*----------------------------------------------------------------------------
505| Software IEC/IEEE extended double-precision conversion routines.
506*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100507int32 floatx80_to_int32( floatx80 STATUS_PARAM );
508int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
509int64 floatx80_to_int64( floatx80 STATUS_PARAM );
510int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000511float32 floatx80_to_float32( floatx80 STATUS_PARAM );
512float64 floatx80_to_float64( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000513float128 floatx80_to_float128( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000514
515/*----------------------------------------------------------------------------
516| Software IEC/IEEE extended double-precision operations.
517*----------------------------------------------------------------------------*/
518floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
519floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
520floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
521floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
522floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
523floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
524floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200525int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000526int floatx80_le( floatx80, floatx80 STATUS_PARAM );
527int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200528int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200529int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000530int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
531int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200532int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnof6714d32011-04-20 13:04:22 +0200533int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
534int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000535int floatx80_is_quiet_nan( floatx80 );
bellard750afe92006-10-28 19:27:11 +0000536int floatx80_is_signaling_nan( floatx80 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100537floatx80 floatx80_maybe_silence_nan( floatx80 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000538floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000539
bellard1d6bda32005-03-13 18:52:29 +0000540INLINE floatx80 floatx80_abs(floatx80 a)
541{
542 a.high &= 0x7fff;
543 return a;
544}
545
546INLINE floatx80 floatx80_chs(floatx80 a)
547{
548 a.high ^= 0x8000;
549 return a;
550}
551
aurel32c52ab6f2008-12-15 17:14:20 +0000552INLINE int floatx80_is_infinity(floatx80 a)
553{
Aurelien Jarnob76235e2011-04-20 13:04:22 +0200554 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
aurel32c52ab6f2008-12-15 17:14:20 +0000555}
556
557INLINE int floatx80_is_neg(floatx80 a)
558{
559 return a.high >> 15;
560}
561
562INLINE int floatx80_is_zero(floatx80 a)
563{
564 return (a.high & 0x7fff) == 0 && a.low == 0;
565}
566
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200567INLINE int floatx80_is_zero_or_denormal(floatx80 a)
568{
569 return (a.high & 0x7fff) == 0;
570}
571
Peter Maydell2bed6522011-01-06 18:34:43 +0000572INLINE int floatx80_is_any_nan(floatx80 a)
573{
574 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
575}
576
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200577#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
578#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
579#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200580#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200581#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
582#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
583
Christophe Lyon85596662011-02-21 17:38:44 +0100584/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200585| The pattern for a default generated extended double-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100586*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200587extern const floatx80 floatx80_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100588
bellard158142c2005-03-13 16:54:06 +0000589/*----------------------------------------------------------------------------
590| Software IEC/IEEE quadruple-precision conversion routines.
591*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100592int32 float128_to_int32( float128 STATUS_PARAM );
593int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
594int64 float128_to_int64( float128 STATUS_PARAM );
595int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000596float32 float128_to_float32( float128 STATUS_PARAM );
597float64 float128_to_float64( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000598floatx80 float128_to_floatx80( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000599
600/*----------------------------------------------------------------------------
601| Software IEC/IEEE quadruple-precision operations.
602*----------------------------------------------------------------------------*/
603float128 float128_round_to_int( float128 STATUS_PARAM );
604float128 float128_add( float128, float128 STATUS_PARAM );
605float128 float128_sub( float128, float128 STATUS_PARAM );
606float128 float128_mul( float128, float128 STATUS_PARAM );
607float128 float128_div( float128, float128 STATUS_PARAM );
608float128 float128_rem( float128, float128 STATUS_PARAM );
609float128 float128_sqrt( float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200610int float128_eq( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000611int float128_le( float128, float128 STATUS_PARAM );
612int float128_lt( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200613int float128_unordered( float128, float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200614int float128_eq_quiet( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000615int float128_le_quiet( float128, float128 STATUS_PARAM );
616int float128_lt_quiet( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200617int float128_unordered_quiet( float128, float128 STATUS_PARAM );
blueswir11f587322007-11-25 18:40:20 +0000618int float128_compare( float128, float128 STATUS_PARAM );
619int float128_compare_quiet( float128, float128 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000620int float128_is_quiet_nan( float128 );
bellard750afe92006-10-28 19:27:11 +0000621int float128_is_signaling_nan( float128 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100622float128 float128_maybe_silence_nan( float128 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000623float128 float128_scalbn( float128, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000624
bellard1d6bda32005-03-13 18:52:29 +0000625INLINE float128 float128_abs(float128 a)
626{
627 a.high &= 0x7fffffffffffffffLL;
628 return a;
629}
630
631INLINE float128 float128_chs(float128 a)
632{
633 a.high ^= 0x8000000000000000LL;
634 return a;
635}
636
aurel32c52ab6f2008-12-15 17:14:20 +0000637INLINE int float128_is_infinity(float128 a)
638{
639 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
640}
641
642INLINE int float128_is_neg(float128 a)
643{
644 return a.high >> 63;
645}
646
647INLINE int float128_is_zero(float128 a)
648{
649 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
650}
651
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200652INLINE int float128_is_zero_or_denormal(float128 a)
653{
654 return (a.high & 0x7fff000000000000LL) == 0;
655}
656
Peter Maydell2bed6522011-01-06 18:34:43 +0000657INLINE int float128_is_any_nan(float128 a)
658{
659 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
660 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
661}
662
Richard Henderson1e397ea2012-12-31 10:09:04 -0800663#define float128_zero make_float128(0, 0)
664
Christophe Lyon85596662011-02-21 17:38:44 +0100665/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200666| The pattern for a default generated quadruple-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100667*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200668extern const float128 float128_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100669
bellard158142c2005-03-13 16:54:06 +0000670#endif /* !SOFTFLOAT_H */