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8d725fac
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1/*
2 * QEMU float support
3 *
4 * Derived from SoftFloat.
5 */
6
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7/*============================================================================
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
75b5a697 41#if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
0475a5ca
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42#include <sunmath.h>
43#endif
44
158142c2 45#include <inttypes.h>
789ec7ce 46#include "config-host.h"
1de7afc9 47#include "qemu/osdep.h"
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48
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*----------------------------------------------------------------------------*/
750afe93 57typedef uint8_t flag;
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58typedef uint8_t uint8;
59typedef int8_t int8;
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60typedef unsigned int uint32;
61typedef signed int int32;
62typedef uint64_t uint64;
63typedef int64_t int64;
64
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65#define LIT64( a ) a##LL
66#define INLINE static inline
67
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68#define STATUS_PARAM , float_status *status
69#define STATUS(field) status->field
70#define STATUS_VAR , status
71
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72/*----------------------------------------------------------------------------
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
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82/*----------------------------------------------------------------------------
83| Software IEC/IEEE floating-point types.
84*----------------------------------------------------------------------------*/
f090c9d4
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85/* 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
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91typedef struct {
92 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; })
d5138cf4 96#define const_float16(x) { x }
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97typedef struct {
98 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; })
d5138cf4 103#define const_float32(x) { x }
f090c9d4
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104typedef 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; })
d5138cf4 109#define const_float64(x) { x }
f090c9d4 110#else
bb4d4bb3 111typedef uint16_t float16;
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112typedef uint32_t float32;
113typedef uint64_t float64;
bb4d4bb3 114#define float16_val(x) (x)
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115#define float32_val(x) (x)
116#define float64_val(x) (x)
bb4d4bb3 117#define make_float16(x) (x)
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118#define make_float32(x) (x)
119#define make_float64(x) (x)
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120#define const_float16(x) (x)
121#define const_float32(x) (x)
122#define const_float64(x) (x)
f090c9d4 123#endif
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124typedef struct {
125 uint64_t low;
126 uint16_t high;
127} floatx80;
f3218a8d 128#define make_floatx80(exp, mant) ((floatx80) { mant, exp })
3bf7e40a 129#define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
158142c2 130typedef struct {
e2542fe2 131#ifdef HOST_WORDS_BIGENDIAN
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132 uint64_t high, low;
133#else
134 uint64_t low, high;
135#endif
136} float128;
789ec7ce 137#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
3bf7e40a 138#define make_float128_init(high_, low_) { .high = high_, .low = low_ }
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139
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,
37d18660 166 float_flag_inexact = 32,
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167 float_flag_input_denormal = 64,
168 float_flag_output_denormal = 128
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169};
170
171typedef struct float_status {
172 signed char float_detect_tininess;
173 signed char float_rounding_mode;
174 signed char float_exception_flags;
158142c2 175 signed char floatx80_rounding_precision;
37d18660 176 /* should denormalised results go to zero and set the inexact flag? */
fe76d976 177 flag flush_to_zero;
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178 /* should denormalised inputs go to zero and set the input_denormal flag? */
179 flag flush_inputs_to_zero;
5c7908ed 180 flag default_nan_mode;
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181} float_status;
182
183void set_float_rounding_mode(int val STATUS_PARAM);
1d6bda35 184void set_float_exception_flags(int val STATUS_PARAM);
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185INLINE void set_float_detect_tininess(int val STATUS_PARAM)
186{
187 STATUS(float_detect_tininess) = val;
188}
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189INLINE void set_flush_to_zero(flag val STATUS_PARAM)
190{
191 STATUS(flush_to_zero) = val;
192}
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193INLINE void set_flush_inputs_to_zero(flag val STATUS_PARAM)
194{
195 STATUS(flush_inputs_to_zero) = val;
196}
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197INLINE void set_default_nan_mode(flag val STATUS_PARAM)
198{
199 STATUS(default_nan_mode) = val;
200}
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201INLINE int get_float_exception_flags(float_status *status)
202{
203 return STATUS(float_exception_flags);
204}
158142c2 205void set_floatx80_rounding_precision(int val STATUS_PARAM);
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206
207/*----------------------------------------------------------------------------
208| Routine to raise any or all of the software IEC/IEEE floating-point
209| exception flags.
210*----------------------------------------------------------------------------*/
ec530c81 211void float_raise( int8 flags STATUS_PARAM);
158142c2 212
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213/*----------------------------------------------------------------------------
214| 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,
66176802 222 float_muladd_negate_result = 4,
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223};
224
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225/*----------------------------------------------------------------------------
226| Software IEC/IEEE integer-to-floating-point conversion routines.
227*----------------------------------------------------------------------------*/
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228float32 int32_to_float32( int32 STATUS_PARAM );
229float64 int32_to_float64( int32 STATUS_PARAM );
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230float32 uint32_to_float32( uint32 STATUS_PARAM );
231float64 uint32_to_float64( uint32 STATUS_PARAM );
87b8cc3c 232floatx80 int32_to_floatx80( int32 STATUS_PARAM );
87b8cc3c 233float128 int32_to_float128( int32 STATUS_PARAM );
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234float32 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 );
87b8cc3c 238floatx80 int64_to_floatx80( int64 STATUS_PARAM );
87b8cc3c 239float128 int64_to_float128( int64 STATUS_PARAM );
1e397ead 240float128 uint64_to_float128( uint64 STATUS_PARAM );
158142c2 241
60011498
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242/*----------------------------------------------------------------------------
243| Software half-precision conversion routines.
244*----------------------------------------------------------------------------*/
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245float16 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 );
60011498 254
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255INLINE int float16_is_any_nan(float16 a)
256{
257 return ((float16_val(a) & ~0x8000) > 0x7c00);
258}
259
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260/*----------------------------------------------------------------------------
261| The pattern for a default generated half-precision NaN.
262*----------------------------------------------------------------------------*/
789ec7ce 263extern const float16 float16_default_nan;
8559666d 264
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265/*----------------------------------------------------------------------------
266| Software IEC/IEEE single-precision conversion routines.
267*----------------------------------------------------------------------------*/
94a49d86 268int_fast16_t float32_to_int16_round_to_zero(float32 STATUS_PARAM);
5aea4c58 269uint_fast16_t float32_to_uint16_round_to_zero(float32 STATUS_PARAM);
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270int32 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 );
158142c2 276float64 float32_to_float64( float32 STATUS_PARAM );
158142c2 277floatx80 float32_to_floatx80( float32 STATUS_PARAM );
158142c2 278float128 float32_to_float128( float32 STATUS_PARAM );
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279
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 );
369be8f6 289float32 float32_muladd(float32, float32, float32, int STATUS_PARAM);
158142c2 290float32 float32_sqrt( float32 STATUS_PARAM );
8229c991 291float32 float32_exp2( float32 STATUS_PARAM );
374dfc33 292float32 float32_log2( float32 STATUS_PARAM );
b689362d 293int float32_eq( float32, float32 STATUS_PARAM );
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294int float32_le( float32, float32 STATUS_PARAM );
295int float32_lt( float32, float32 STATUS_PARAM );
67b7861d 296int float32_unordered( float32, float32 STATUS_PARAM );
b689362d 297int float32_eq_quiet( float32, float32 STATUS_PARAM );
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298int float32_le_quiet( float32, float32 STATUS_PARAM );
299int float32_lt_quiet( float32, float32 STATUS_PARAM );
67b7861d 300int float32_unordered_quiet( float32, float32 STATUS_PARAM );
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301int float32_compare( float32, float32 STATUS_PARAM );
302int float32_compare_quiet( float32, float32 STATUS_PARAM );
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303float32 float32_min(float32, float32 STATUS_PARAM);
304float32 float32_max(float32, float32 STATUS_PARAM);
18569871 305int float32_is_quiet_nan( float32 );
750afe93 306int float32_is_signaling_nan( float32 );
b408dbde 307float32 float32_maybe_silence_nan( float32 );
9ee6e8bb 308float32 float32_scalbn( float32, int STATUS_PARAM );
158142c2 309
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310INLINE float32 float32_abs(float32 a)
311{
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312 /* Note that abs does *not* handle NaN specially, nor does
313 * it flush denormal inputs to zero.
314 */
f090c9d4 315 return make_float32(float32_val(a) & 0x7fffffff);
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316}
317
318INLINE float32 float32_chs(float32 a)
319{
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320 /* Note that chs does *not* handle NaN specially, nor does
321 * it flush denormal inputs to zero.
322 */
f090c9d4 323 return make_float32(float32_val(a) ^ 0x80000000);
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324}
325
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326INLINE int float32_is_infinity(float32 a)
327{
dadd71a7 328 return (float32_val(a) & 0x7fffffff) == 0x7f800000;
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329}
330
331INLINE int float32_is_neg(float32 a)
332{
333 return float32_val(a) >> 31;
334}
335
336INLINE int float32_is_zero(float32 a)
337{
338 return (float32_val(a) & 0x7fffffff) == 0;
339}
340
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341INLINE int float32_is_any_nan(float32 a)
342{
343 return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
344}
345
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346INLINE int float32_is_zero_or_denormal(float32 a)
347{
348 return (float32_val(a) & 0x7f800000) == 0;
349}
350
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351INLINE float32 float32_set_sign(float32 a, int sign)
352{
353 return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
354}
355
f090c9d4 356#define float32_zero make_float32(0)
196cfc89 357#define float32_one make_float32(0x3f800000)
8229c991 358#define float32_ln2 make_float32(0x3f317218)
c4b4c77a 359#define float32_pi make_float32(0x40490fdb)
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360#define float32_half make_float32(0x3f000000)
361#define float32_infinity make_float32(0x7f800000)
f090c9d4 362
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363
364/*----------------------------------------------------------------------------
365| The pattern for a default generated single-precision NaN.
366*----------------------------------------------------------------------------*/
789ec7ce 367extern const float32 float32_default_nan;
8559666d 368
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369/*----------------------------------------------------------------------------
370| Software IEC/IEEE double-precision conversion routines.
371*----------------------------------------------------------------------------*/
94a49d86 372int_fast16_t float64_to_int16_round_to_zero(float64 STATUS_PARAM);
5aea4c58 373uint_fast16_t float64_to_uint16_round_to_zero(float64 STATUS_PARAM);
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374int32 float64_to_int32( float64 STATUS_PARAM );
375int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
376uint32 float64_to_uint32( float64 STATUS_PARAM );
377uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
378int64 float64_to_int64( float64 STATUS_PARAM );
379int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
380uint64 float64_to_uint64 (float64 a STATUS_PARAM);
381uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
158142c2 382float32 float64_to_float32( float64 STATUS_PARAM );
158142c2 383floatx80 float64_to_floatx80( float64 STATUS_PARAM );
158142c2 384float128 float64_to_float128( float64 STATUS_PARAM );
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385
386/*----------------------------------------------------------------------------
387| Software IEC/IEEE double-precision operations.
388*----------------------------------------------------------------------------*/
389float64 float64_round_to_int( float64 STATUS_PARAM );
e6e5906b 390float64 float64_trunc_to_int( float64 STATUS_PARAM );
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391float64 float64_add( float64, float64 STATUS_PARAM );
392float64 float64_sub( float64, float64 STATUS_PARAM );
393float64 float64_mul( float64, float64 STATUS_PARAM );
394float64 float64_div( float64, float64 STATUS_PARAM );
395float64 float64_rem( float64, float64 STATUS_PARAM );
369be8f6 396float64 float64_muladd(float64, float64, float64, int STATUS_PARAM);
158142c2 397float64 float64_sqrt( float64 STATUS_PARAM );
374dfc33 398float64 float64_log2( float64 STATUS_PARAM );
b689362d 399int float64_eq( float64, float64 STATUS_PARAM );
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400int float64_le( float64, float64 STATUS_PARAM );
401int float64_lt( float64, float64 STATUS_PARAM );
67b7861d 402int float64_unordered( float64, float64 STATUS_PARAM );
b689362d 403int float64_eq_quiet( float64, float64 STATUS_PARAM );
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404int float64_le_quiet( float64, float64 STATUS_PARAM );
405int float64_lt_quiet( float64, float64 STATUS_PARAM );
67b7861d 406int float64_unordered_quiet( float64, float64 STATUS_PARAM );
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407int float64_compare( float64, float64 STATUS_PARAM );
408int float64_compare_quiet( float64, float64 STATUS_PARAM );
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409float64 float64_min(float64, float64 STATUS_PARAM);
410float64 float64_max(float64, float64 STATUS_PARAM);
18569871 411int float64_is_quiet_nan( float64 a );
750afe93 412int float64_is_signaling_nan( float64 );
b408dbde 413float64 float64_maybe_silence_nan( float64 );
9ee6e8bb 414float64 float64_scalbn( float64, int STATUS_PARAM );
158142c2 415
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416INLINE float64 float64_abs(float64 a)
417{
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418 /* Note that abs does *not* handle NaN specially, nor does
419 * it flush denormal inputs to zero.
420 */
f090c9d4 421 return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
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422}
423
424INLINE float64 float64_chs(float64 a)
425{
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426 /* Note that chs does *not* handle NaN specially, nor does
427 * it flush denormal inputs to zero.
428 */
f090c9d4 429 return make_float64(float64_val(a) ^ 0x8000000000000000LL);
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430}
431
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432INLINE int float64_is_infinity(float64 a)
433{
434 return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
435}
436
437INLINE int float64_is_neg(float64 a)
438{
439 return float64_val(a) >> 63;
440}
441
442INLINE int float64_is_zero(float64 a)
443{
444 return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
445}
446
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447INLINE int float64_is_any_nan(float64 a)
448{
449 return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
450}
451
587eabfa
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452INLINE int float64_is_zero_or_denormal(float64 a)
453{
454 return (float64_val(a) & 0x7ff0000000000000LL) == 0;
455}
456
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457INLINE float64 float64_set_sign(float64 a, int sign)
458{
459 return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
460 | ((int64_t)sign << 63));
461}
462
f090c9d4 463#define float64_zero make_float64(0)
196cfc89 464#define float64_one make_float64(0x3ff0000000000000LL)
8229c991 465#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
c4b4c77a 466#define float64_pi make_float64(0x400921fb54442d18LL)
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467#define float64_half make_float64(0x3fe0000000000000LL)
468#define float64_infinity make_float64(0x7ff0000000000000LL)
f090c9d4 469
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470/*----------------------------------------------------------------------------
471| The pattern for a default generated double-precision NaN.
472*----------------------------------------------------------------------------*/
789ec7ce 473extern const float64 float64_default_nan;
8559666d 474
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475/*----------------------------------------------------------------------------
476| Software IEC/IEEE extended double-precision conversion routines.
477*----------------------------------------------------------------------------*/
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478int32 floatx80_to_int32( floatx80 STATUS_PARAM );
479int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
480int64 floatx80_to_int64( floatx80 STATUS_PARAM );
481int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
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482float32 floatx80_to_float32( floatx80 STATUS_PARAM );
483float64 floatx80_to_float64( floatx80 STATUS_PARAM );
158142c2 484float128 floatx80_to_float128( floatx80 STATUS_PARAM );
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485
486/*----------------------------------------------------------------------------
487| Software IEC/IEEE extended double-precision operations.
488*----------------------------------------------------------------------------*/
489floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
490floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
491floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
492floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
493floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
494floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
495floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
b689362d 496int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
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497int floatx80_le( floatx80, floatx80 STATUS_PARAM );
498int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
67b7861d 499int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
b689362d 500int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
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501int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
502int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
67b7861d 503int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
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504int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
505int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
18569871 506int floatx80_is_quiet_nan( floatx80 );
750afe93 507int floatx80_is_signaling_nan( floatx80 );
f6a7d92a 508floatx80 floatx80_maybe_silence_nan( floatx80 );
9ee6e8bb 509floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
158142c2 510
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511INLINE floatx80 floatx80_abs(floatx80 a)
512{
513 a.high &= 0x7fff;
514 return a;
515}
516
517INLINE floatx80 floatx80_chs(floatx80 a)
518{
519 a.high ^= 0x8000;
520 return a;
521}
522
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523INLINE int floatx80_is_infinity(floatx80 a)
524{
b76235e4 525 return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
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526}
527
528INLINE int floatx80_is_neg(floatx80 a)
529{
530 return a.high >> 15;
531}
532
533INLINE int floatx80_is_zero(floatx80 a)
534{
535 return (a.high & 0x7fff) == 0 && a.low == 0;
536}
537
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538INLINE int floatx80_is_zero_or_denormal(floatx80 a)
539{
540 return (a.high & 0x7fff) == 0;
541}
542
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543INLINE int floatx80_is_any_nan(floatx80 a)
544{
545 return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
546}
547
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548#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
549#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
550#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
c4b4c77a 551#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
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552#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
553#define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
554
8559666d 555/*----------------------------------------------------------------------------
789ec7ce 556| The pattern for a default generated extended double-precision NaN.
8559666d 557*----------------------------------------------------------------------------*/
789ec7ce 558extern const floatx80 floatx80_default_nan;
8559666d 559
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560/*----------------------------------------------------------------------------
561| Software IEC/IEEE quadruple-precision conversion routines.
562*----------------------------------------------------------------------------*/
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563int32 float128_to_int32( float128 STATUS_PARAM );
564int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
565int64 float128_to_int64( float128 STATUS_PARAM );
566int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
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567float32 float128_to_float32( float128 STATUS_PARAM );
568float64 float128_to_float64( float128 STATUS_PARAM );
158142c2 569floatx80 float128_to_floatx80( float128 STATUS_PARAM );
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570
571/*----------------------------------------------------------------------------
572| Software IEC/IEEE quadruple-precision operations.
573*----------------------------------------------------------------------------*/
574float128 float128_round_to_int( float128 STATUS_PARAM );
575float128 float128_add( float128, float128 STATUS_PARAM );
576float128 float128_sub( float128, float128 STATUS_PARAM );
577float128 float128_mul( float128, float128 STATUS_PARAM );
578float128 float128_div( float128, float128 STATUS_PARAM );
579float128 float128_rem( float128, float128 STATUS_PARAM );
580float128 float128_sqrt( float128 STATUS_PARAM );
b689362d 581int float128_eq( float128, float128 STATUS_PARAM );
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582int float128_le( float128, float128 STATUS_PARAM );
583int float128_lt( float128, float128 STATUS_PARAM );
67b7861d 584int float128_unordered( float128, float128 STATUS_PARAM );
b689362d 585int float128_eq_quiet( float128, float128 STATUS_PARAM );
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586int float128_le_quiet( float128, float128 STATUS_PARAM );
587int float128_lt_quiet( float128, float128 STATUS_PARAM );
67b7861d 588int float128_unordered_quiet( float128, float128 STATUS_PARAM );
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589int float128_compare( float128, float128 STATUS_PARAM );
590int float128_compare_quiet( float128, float128 STATUS_PARAM );
18569871 591int float128_is_quiet_nan( float128 );
750afe93 592int float128_is_signaling_nan( float128 );
f6a7d92a 593float128 float128_maybe_silence_nan( float128 );
9ee6e8bb 594float128 float128_scalbn( float128, int STATUS_PARAM );
158142c2 595
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596INLINE float128 float128_abs(float128 a)
597{
598 a.high &= 0x7fffffffffffffffLL;
599 return a;
600}
601
602INLINE float128 float128_chs(float128 a)
603{
604 a.high ^= 0x8000000000000000LL;
605 return a;
606}
607
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608INLINE int float128_is_infinity(float128 a)
609{
610 return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
611}
612
613INLINE int float128_is_neg(float128 a)
614{
615 return a.high >> 63;
616}
617
618INLINE int float128_is_zero(float128 a)
619{
620 return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
621}
622
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623INLINE int float128_is_zero_or_denormal(float128 a)
624{
625 return (a.high & 0x7fff000000000000LL) == 0;
626}
627
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628INLINE int float128_is_any_nan(float128 a)
629{
630 return ((a.high >> 48) & 0x7fff) == 0x7fff &&
631 ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
632}
633
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634#define float128_zero make_float128(0, 0)
635
8559666d 636/*----------------------------------------------------------------------------
789ec7ce 637| The pattern for a default generated quadruple-precision NaN.
8559666d 638*----------------------------------------------------------------------------*/
789ec7ce 639extern const float128 float128_default_nan;
8559666d 640
158142c2 641#endif /* !SOFTFLOAT_H */