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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
242/*----------------------------------------------------------------------------
Paul Brook60011492009-11-19 16:45:20 +0000243| Software half-precision conversion routines.
244*----------------------------------------------------------------------------*/
Peter Maydellbb4d4bb2011-02-10 11:28:56 +0000245float16 float32_to_float16( float32, flag STATUS_PARAM );
246float32 float16_to_float32( float16, flag STATUS_PARAM );
247
248/*----------------------------------------------------------------------------
249| Software half-precision operations.
250*----------------------------------------------------------------------------*/
251int float16_is_quiet_nan( float16 );
252int float16_is_signaling_nan( float16 );
253float16 float16_maybe_silence_nan( float16 );
Paul Brook60011492009-11-19 16:45:20 +0000254
Max Filippov213ff4e2012-09-19 04:23:51 +0400255INLINE int float16_is_any_nan(float16 a)
256{
257 return ((float16_val(a) & ~0x8000) > 0x7c00);
258}
259
Paul Brook60011492009-11-19 16:45:20 +0000260/*----------------------------------------------------------------------------
Christophe Lyon85596662011-02-21 17:38:44 +0100261| The pattern for a default generated half-precision NaN.
262*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200263extern const float16 float16_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100264
265/*----------------------------------------------------------------------------
bellard158142c2005-03-13 16:54:06 +0000266| Software IEC/IEEE single-precision conversion routines.
267*----------------------------------------------------------------------------*/
Andreas Färber94a49d82012-04-26 00:15:56 +0200268int_fast16_t float32_to_int16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200269uint_fast16_t float32_to_uint16_round_to_zero(float32 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100270int32 float32_to_int32( float32 STATUS_PARAM );
271int32 float32_to_int32_round_to_zero( float32 STATUS_PARAM );
272uint32 float32_to_uint32( float32 STATUS_PARAM );
273uint32 float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
274int64 float32_to_int64( float32 STATUS_PARAM );
275int64 float32_to_int64_round_to_zero( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000276float64 float32_to_float64( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000277floatx80 float32_to_floatx80( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000278float128 float32_to_float128( float32 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000279
280/*----------------------------------------------------------------------------
281| Software IEC/IEEE single-precision operations.
282*----------------------------------------------------------------------------*/
283float32 float32_round_to_int( float32 STATUS_PARAM );
284float32 float32_add( float32, float32 STATUS_PARAM );
285float32 float32_sub( float32, float32 STATUS_PARAM );
286float32 float32_mul( float32, float32 STATUS_PARAM );
287float32 float32_div( float32, float32 STATUS_PARAM );
288float32 float32_rem( float32, float32 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000289float32 float32_muladd(float32, float32, float32, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000290float32 float32_sqrt( float32 STATUS_PARAM );
Aurelien Jarno8229c992009-02-05 12:04:05 +0100291float32 float32_exp2( float32 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000292float32 float32_log2( float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200293int float32_eq( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000294int float32_le( float32, float32 STATUS_PARAM );
295int float32_lt( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200296int float32_unordered( float32, float32 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200297int float32_eq_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000298int float32_le_quiet( float32, float32 STATUS_PARAM );
299int float32_lt_quiet( float32, float32 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200300int float32_unordered_quiet( float32, float32 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000301int float32_compare( float32, float32 STATUS_PARAM );
302int float32_compare_quiet( float32, float32 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000303float32 float32_min(float32, float32 STATUS_PARAM);
304float32 float32_max(float32, float32 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000305float32 float32_minnum(float32, float32 STATUS_PARAM);
306float32 float32_maxnum(float32, float32 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000307int float32_is_quiet_nan( float32 );
bellard750afe92006-10-28 19:27:11 +0000308int float32_is_signaling_nan( float32 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000309float32 float32_maybe_silence_nan( float32 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000310float32 float32_scalbn( float32, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000311
bellard1d6bda32005-03-13 18:52:29 +0000312INLINE float32 float32_abs(float32 a)
313{
Peter Maydell37d18662011-01-06 19:37:53 +0000314 /* Note that abs does *not* handle NaN specially, nor does
315 * it flush denormal inputs to zero.
316 */
pbrookf090c9d2007-11-18 14:33:24 +0000317 return make_float32(float32_val(a) & 0x7fffffff);
bellard1d6bda32005-03-13 18:52:29 +0000318}
319
320INLINE float32 float32_chs(float32 a)
321{
Peter Maydell37d18662011-01-06 19:37:53 +0000322 /* Note that chs does *not* handle NaN specially, nor does
323 * it flush denormal inputs to zero.
324 */
pbrookf090c9d2007-11-18 14:33:24 +0000325 return make_float32(float32_val(a) ^ 0x80000000);
bellard1d6bda32005-03-13 18:52:29 +0000326}
327
aurel32c52ab6f2008-12-15 17:14:20 +0000328INLINE int float32_is_infinity(float32 a)
329{
aurel32dadd71a2008-12-18 22:43:16 +0000330 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
aurel32c52ab6f2008-12-15 17:14:20 +0000331}
332
333INLINE int float32_is_neg(float32 a)
334{
335 return float32_val(a) >> 31;
336}
337
338INLINE int float32_is_zero(float32 a)
339{
340 return (float32_val(a) & 0x7fffffff) == 0;
341}
342
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000343INLINE int float32_is_any_nan(float32 a)
344{
345 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
346}
347
Peter Maydell6f3300a2011-01-14 20:39:18 +0100348INLINE int float32_is_zero_or_denormal(float32 a)
349{
350 return (float32_val(a) & 0x7f800000) == 0;
351}
352
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100353INLINE float32 float32_set_sign(float32 a, int sign)
354{
355 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
356}
357
pbrookf090c9d2007-11-18 14:33:24 +0000358#define float32_zero make_float32(0)
aurel32196cfc82009-02-04 13:52:27 +0000359#define float32_one make_float32(0x3f800000)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100360#define float32_ln2 make_float32(0x3f317218)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200361#define float32_pi make_float32(0x40490fdb)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100362#define float32_half make_float32(0x3f000000)
363#define float32_infinity make_float32(0x7f800000)
pbrookf090c9d2007-11-18 14:33:24 +0000364
Christophe Lyon85596662011-02-21 17:38:44 +0100365
366/*----------------------------------------------------------------------------
367| The pattern for a default generated single-precision NaN.
368*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200369extern const float32 float32_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100370
bellard158142c2005-03-13 16:54:06 +0000371/*----------------------------------------------------------------------------
372| Software IEC/IEEE double-precision conversion routines.
373*----------------------------------------------------------------------------*/
Andreas Färber94a49d82012-04-26 00:15:56 +0200374int_fast16_t float64_to_int16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber5aea4c52012-04-26 00:15:55 +0200375uint_fast16_t float64_to_uint16_round_to_zero(float64 STATUS_PARAM);
Andreas Färber87b8cc32011-03-07 01:34:05 +0100376int32 float64_to_int32( float64 STATUS_PARAM );
377int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
378uint32 float64_to_uint32( float64 STATUS_PARAM );
379uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
380int64 float64_to_int64( float64 STATUS_PARAM );
381int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
382uint64 float64_to_uint64 (float64 a STATUS_PARAM);
383uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000384float32 float64_to_float32( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000385floatx80 float64_to_floatx80( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000386float128 float64_to_float128( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000387
388/*----------------------------------------------------------------------------
389| Software IEC/IEEE double-precision operations.
390*----------------------------------------------------------------------------*/
391float64 float64_round_to_int( float64 STATUS_PARAM );
pbrooke6e59062006-10-22 00:18:54 +0000392float64 float64_trunc_to_int( float64 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000393float64 float64_add( float64, float64 STATUS_PARAM );
394float64 float64_sub( float64, float64 STATUS_PARAM );
395float64 float64_mul( float64, float64 STATUS_PARAM );
396float64 float64_div( float64, float64 STATUS_PARAM );
397float64 float64_rem( float64, float64 STATUS_PARAM );
Peter Maydell369be8f2011-10-19 16:14:06 +0000398float64 float64_muladd(float64, float64, float64, int STATUS_PARAM);
bellard158142c2005-03-13 16:54:06 +0000399float64 float64_sqrt( float64 STATUS_PARAM );
aurel32374dfc32009-02-05 13:42:47 +0000400float64 float64_log2( float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200401int float64_eq( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000402int float64_le( float64, float64 STATUS_PARAM );
403int float64_lt( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200404int float64_unordered( float64, float64 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200405int float64_eq_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000406int float64_le_quiet( float64, float64 STATUS_PARAM );
407int float64_lt_quiet( float64, float64 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200408int float64_unordered_quiet( float64, float64 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000409int float64_compare( float64, float64 STATUS_PARAM );
410int float64_compare_quiet( float64, float64 STATUS_PARAM );
Peter Maydell274f1b02011-03-11 08:12:25 +0000411float64 float64_min(float64, float64 STATUS_PARAM);
412float64 float64_max(float64, float64 STATUS_PARAM);
Will Newtone17ab312013-12-06 17:01:41 +0000413float64 float64_minnum(float64, float64 STATUS_PARAM);
414float64 float64_maxnum(float64, float64 STATUS_PARAM);
Peter Maydell18569872010-12-17 15:56:06 +0000415int float64_is_quiet_nan( float64 a );
bellard750afe92006-10-28 19:27:11 +0000416int float64_is_signaling_nan( float64 );
Peter Maydellb408dbd2010-12-07 15:37:34 +0000417float64 float64_maybe_silence_nan( float64 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000418float64 float64_scalbn( float64, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000419
bellard1d6bda32005-03-13 18:52:29 +0000420INLINE float64 float64_abs(float64 a)
421{
Peter Maydell37d18662011-01-06 19:37:53 +0000422 /* Note that abs does *not* handle NaN specially, nor does
423 * it flush denormal inputs to zero.
424 */
pbrookf090c9d2007-11-18 14:33:24 +0000425 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
bellard1d6bda32005-03-13 18:52:29 +0000426}
427
428INLINE float64 float64_chs(float64 a)
429{
Peter Maydell37d18662011-01-06 19:37:53 +0000430 /* Note that chs does *not* handle NaN specially, nor does
431 * it flush denormal inputs to zero.
432 */
pbrookf090c9d2007-11-18 14:33:24 +0000433 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
bellard1d6bda32005-03-13 18:52:29 +0000434}
435
aurel32c52ab6f2008-12-15 17:14:20 +0000436INLINE int float64_is_infinity(float64 a)
437{
438 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
439}
440
441INLINE int float64_is_neg(float64 a)
442{
443 return float64_val(a) >> 63;
444}
445
446INLINE int float64_is_zero(float64 a)
447{
448 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
449}
450
Peter Maydell21d6ebd2010-12-07 15:37:34 +0000451INLINE int float64_is_any_nan(float64 a)
452{
453 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
454}
455
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200456INLINE int float64_is_zero_or_denormal(float64 a)
457{
458 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
459}
460
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100461INLINE float64 float64_set_sign(float64 a, int sign)
462{
463 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
464 | ((int64_t)sign << 63));
465}
466
pbrookf090c9d2007-11-18 14:33:24 +0000467#define float64_zero make_float64(0)
aurel32196cfc82009-02-04 13:52:27 +0000468#define float64_one make_float64(0x3ff0000000000000LL)
Aurelien Jarno8229c992009-02-05 12:04:05 +0100469#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200470#define float64_pi make_float64(0x400921fb54442d18LL)
Christophe Lyonc30fe7d2011-02-21 17:38:45 +0100471#define float64_half make_float64(0x3fe0000000000000LL)
472#define float64_infinity make_float64(0x7ff0000000000000LL)
pbrookf090c9d2007-11-18 14:33:24 +0000473
Christophe Lyon85596662011-02-21 17:38:44 +0100474/*----------------------------------------------------------------------------
475| The pattern for a default generated double-precision NaN.
476*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200477extern const float64 float64_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100478
bellard158142c2005-03-13 16:54:06 +0000479/*----------------------------------------------------------------------------
480| Software IEC/IEEE extended double-precision conversion routines.
481*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100482int32 floatx80_to_int32( floatx80 STATUS_PARAM );
483int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
484int64 floatx80_to_int64( floatx80 STATUS_PARAM );
485int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000486float32 floatx80_to_float32( floatx80 STATUS_PARAM );
487float64 floatx80_to_float64( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000488float128 floatx80_to_float128( floatx80 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000489
490/*----------------------------------------------------------------------------
491| Software IEC/IEEE extended double-precision operations.
492*----------------------------------------------------------------------------*/
493floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
494floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
495floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
496floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
497floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
498floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
499floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200500int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000501int floatx80_le( floatx80, floatx80 STATUS_PARAM );
502int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200503int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200504int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000505int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
506int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200507int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
Aurelien Jarnof6714d32011-04-20 13:04:22 +0200508int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
509int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000510int floatx80_is_quiet_nan( floatx80 );
bellard750afe92006-10-28 19:27:11 +0000511int floatx80_is_signaling_nan( floatx80 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100512floatx80 floatx80_maybe_silence_nan( floatx80 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000513floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000514
bellard1d6bda32005-03-13 18:52:29 +0000515INLINE floatx80 floatx80_abs(floatx80 a)
516{
517 a.high &= 0x7fff;
518 return a;
519}
520
521INLINE floatx80 floatx80_chs(floatx80 a)
522{
523 a.high ^= 0x8000;
524 return a;
525}
526
aurel32c52ab6f2008-12-15 17:14:20 +0000527INLINE int floatx80_is_infinity(floatx80 a)
528{
Aurelien Jarnob76235e2011-04-20 13:04:22 +0200529 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
aurel32c52ab6f2008-12-15 17:14:20 +0000530}
531
532INLINE int floatx80_is_neg(floatx80 a)
533{
534 return a.high >> 15;
535}
536
537INLINE int floatx80_is_zero(floatx80 a)
538{
539 return (a.high & 0x7fff) == 0 && a.low == 0;
540}
541
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200542INLINE int floatx80_is_zero_or_denormal(floatx80 a)
543{
544 return (a.high & 0x7fff) == 0;
545}
546
Peter Maydell2bed6522011-01-06 18:34:43 +0000547INLINE int floatx80_is_any_nan(floatx80 a)
548{
549 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
550}
551
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200552#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
553#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
554#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
Aurelien Jarnoc4b4c772011-04-20 13:04:22 +0200555#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
Aurelien Jarnof3218a82011-04-20 13:04:22 +0200556#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
557#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
558
Christophe Lyon85596662011-02-21 17:38:44 +0100559/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200560| The pattern for a default generated extended double-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100561*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200562extern const floatx80 floatx80_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100563
bellard158142c2005-03-13 16:54:06 +0000564/*----------------------------------------------------------------------------
565| Software IEC/IEEE quadruple-precision conversion routines.
566*----------------------------------------------------------------------------*/
Andreas Färber87b8cc32011-03-07 01:34:05 +0100567int32 float128_to_int32( float128 STATUS_PARAM );
568int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
569int64 float128_to_int64( float128 STATUS_PARAM );
570int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000571float32 float128_to_float32( float128 STATUS_PARAM );
572float64 float128_to_float64( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000573floatx80 float128_to_floatx80( float128 STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000574
575/*----------------------------------------------------------------------------
576| Software IEC/IEEE quadruple-precision operations.
577*----------------------------------------------------------------------------*/
578float128 float128_round_to_int( float128 STATUS_PARAM );
579float128 float128_add( float128, float128 STATUS_PARAM );
580float128 float128_sub( float128, float128 STATUS_PARAM );
581float128 float128_mul( float128, float128 STATUS_PARAM );
582float128 float128_div( float128, float128 STATUS_PARAM );
583float128 float128_rem( float128, float128 STATUS_PARAM );
584float128 float128_sqrt( float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200585int float128_eq( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000586int float128_le( float128, float128 STATUS_PARAM );
587int float128_lt( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200588int float128_unordered( float128, float128 STATUS_PARAM );
Aurelien Jarnob6893622011-04-14 00:49:29 +0200589int float128_eq_quiet( float128, float128 STATUS_PARAM );
bellard750afe92006-10-28 19:27:11 +0000590int float128_le_quiet( float128, float128 STATUS_PARAM );
591int float128_lt_quiet( float128, float128 STATUS_PARAM );
Aurelien Jarno67b78612011-04-14 00:49:29 +0200592int float128_unordered_quiet( float128, float128 STATUS_PARAM );
blueswir11f587322007-11-25 18:40:20 +0000593int float128_compare( float128, float128 STATUS_PARAM );
594int float128_compare_quiet( float128, float128 STATUS_PARAM );
Peter Maydell18569872010-12-17 15:56:06 +0000595int float128_is_quiet_nan( float128 );
bellard750afe92006-10-28 19:27:11 +0000596int float128_is_signaling_nan( float128 );
Aurelien Jarnof6a7d922011-01-06 15:38:19 +0100597float128 float128_maybe_silence_nan( float128 );
pbrook9ee6e8b2007-11-11 00:04:49 +0000598float128 float128_scalbn( float128, int STATUS_PARAM );
bellard158142c2005-03-13 16:54:06 +0000599
bellard1d6bda32005-03-13 18:52:29 +0000600INLINE float128 float128_abs(float128 a)
601{
602 a.high &= 0x7fffffffffffffffLL;
603 return a;
604}
605
606INLINE float128 float128_chs(float128 a)
607{
608 a.high ^= 0x8000000000000000LL;
609 return a;
610}
611
aurel32c52ab6f2008-12-15 17:14:20 +0000612INLINE int float128_is_infinity(float128 a)
613{
614 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
615}
616
617INLINE int float128_is_neg(float128 a)
618{
619 return a.high >> 63;
620}
621
622INLINE int float128_is_zero(float128 a)
623{
624 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
625}
626
Aurelien Jarno587eabf2011-05-15 14:09:18 +0200627INLINE int float128_is_zero_or_denormal(float128 a)
628{
629 return (a.high & 0x7fff000000000000LL) == 0;
630}
631
Peter Maydell2bed6522011-01-06 18:34:43 +0000632INLINE int float128_is_any_nan(float128 a)
633{
634 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
635 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
636}
637
Richard Henderson1e397ea2012-12-31 10:09:04 -0800638#define float128_zero make_float128(0, 0)
639
Christophe Lyon85596662011-02-21 17:38:44 +0100640/*----------------------------------------------------------------------------
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200641| The pattern for a default generated quadruple-precision NaN.
Christophe Lyon85596662011-02-21 17:38:44 +0100642*----------------------------------------------------------------------------*/
Paolo Bonzini789ec7c2011-07-28 12:10:29 +0200643extern const float128 float128_default_nan;
Christophe Lyon85596662011-02-21 17:38:44 +0100644
bellard158142c2005-03-13 16:54:06 +0000645#endif /* !SOFTFLOAT_H */