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158142c2 FB |
1 | |
2 | /*============================================================================ | |
3 | ||
4 | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point | |
5 | Arithmetic Package, Release 2b. | |
6 | ||
7 | Written by John R. Hauser. This work was made possible in part by the | |
8 | International Computer Science Institute, located at Suite 600, 1947 Center | |
9 | Street, Berkeley, California 94704. Funding was partially provided by the | |
10 | National Science Foundation under grant MIP-9311980. The original version | |
11 | of this code was written as part of a project to build a fixed-point vector | |
12 | processor in collaboration with the University of California at Berkeley, | |
13 | overseen by Profs. Nelson Morgan and John Wawrzynek. More information | |
14 | is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ | |
15 | arithmetic/SoftFloat.html'. | |
16 | ||
17 | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has | |
18 | been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES | |
19 | RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS | |
20 | AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, | |
21 | COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE | |
22 | EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE | |
23 | INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR | |
24 | OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. | |
25 | ||
26 | Derivative works are acceptable, even for commercial purposes, so long as | |
27 | (1) the source code for the derivative work includes prominent notice that | |
28 | the work is derivative, and (2) the source code includes prominent notice with | |
29 | these four paragraphs for those parts of this code that are retained. | |
30 | ||
31 | =============================================================================*/ | |
32 | ||
5a6932d5 TS |
33 | #if defined(TARGET_MIPS) || defined(TARGET_HPPA) |
34 | #define SNAN_BIT_IS_ONE 1 | |
35 | #else | |
36 | #define SNAN_BIT_IS_ONE 0 | |
37 | #endif | |
38 | ||
158142c2 FB |
39 | /*---------------------------------------------------------------------------- |
40 | | Raises the exceptions specified by `flags'. Floating-point traps can be | |
41 | | defined here if desired. It is currently not possible for such a trap | |
42 | | to substitute a result value. If traps are not implemented, this routine | |
43 | | should be simply `float_exception_flags |= flags;'. | |
44 | *----------------------------------------------------------------------------*/ | |
45 | ||
46 | void float_raise( int8 flags STATUS_PARAM ) | |
47 | { | |
158142c2 | 48 | STATUS(float_exception_flags) |= flags; |
158142c2 FB |
49 | } |
50 | ||
51 | /*---------------------------------------------------------------------------- | |
52 | | Internal canonical NaN format. | |
53 | *----------------------------------------------------------------------------*/ | |
54 | typedef struct { | |
55 | flag sign; | |
56 | bits64 high, low; | |
57 | } commonNaNT; | |
58 | ||
59 | /*---------------------------------------------------------------------------- | |
60 | | The pattern for a default generated single-precision NaN. | |
61 | *----------------------------------------------------------------------------*/ | |
85016c98 TS |
62 | #if defined(TARGET_SPARC) |
63 | #define float32_default_nan make_float32(0x7FFFFFFF) | |
64 | #elif defined(TARGET_POWERPC) | |
65 | #define float32_default_nan make_float32(0x7FC00000) | |
66 | #elif defined(TARGET_HPPA) | |
67 | #define float32_default_nan make_float32(0x7FA00000) | |
68 | #elif SNAN_BIT_IS_ONE | |
f090c9d4 | 69 | #define float32_default_nan make_float32(0x7FBFFFFF) |
b645bb48 | 70 | #else |
f090c9d4 | 71 | #define float32_default_nan make_float32(0xFFC00000) |
b645bb48 | 72 | #endif |
158142c2 FB |
73 | |
74 | /*---------------------------------------------------------------------------- | |
5a6932d5 TS |
75 | | Returns 1 if the single-precision floating-point value `a' is a quiet |
76 | | NaN; otherwise returns 0. | |
158142c2 FB |
77 | *----------------------------------------------------------------------------*/ |
78 | ||
f090c9d4 | 79 | int float32_is_nan( float32 a_ ) |
158142c2 | 80 | { |
f090c9d4 | 81 | uint32_t a = float32_val(a_); |
5a6932d5 | 82 | #if SNAN_BIT_IS_ONE |
b645bb48 TS |
83 | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
84 | #else | |
85 | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); | |
86 | #endif | |
158142c2 FB |
87 | } |
88 | ||
89 | /*---------------------------------------------------------------------------- | |
90 | | Returns 1 if the single-precision floating-point value `a' is a signaling | |
91 | | NaN; otherwise returns 0. | |
92 | *----------------------------------------------------------------------------*/ | |
93 | ||
f090c9d4 | 94 | int float32_is_signaling_nan( float32 a_ ) |
158142c2 | 95 | { |
f090c9d4 | 96 | uint32_t a = float32_val(a_); |
5a6932d5 | 97 | #if SNAN_BIT_IS_ONE |
b645bb48 TS |
98 | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
99 | #else | |
158142c2 | 100 | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
b645bb48 | 101 | #endif |
158142c2 FB |
102 | } |
103 | ||
104 | /*---------------------------------------------------------------------------- | |
105 | | Returns the result of converting the single-precision floating-point NaN | |
106 | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid | |
107 | | exception is raised. | |
108 | *----------------------------------------------------------------------------*/ | |
109 | ||
110 | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM ) | |
111 | { | |
112 | commonNaNT z; | |
113 | ||
114 | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR ); | |
f090c9d4 | 115 | z.sign = float32_val(a)>>31; |
158142c2 | 116 | z.low = 0; |
f090c9d4 | 117 | z.high = ( (bits64) float32_val(a) )<<41; |
158142c2 | 118 | return z; |
158142c2 FB |
119 | } |
120 | ||
121 | /*---------------------------------------------------------------------------- | |
122 | | Returns the result of converting the canonical NaN `a' to the single- | |
123 | | precision floating-point format. | |
124 | *----------------------------------------------------------------------------*/ | |
125 | ||
126 | static float32 commonNaNToFloat32( commonNaNT a ) | |
127 | { | |
85016c98 TS |
128 | bits32 mantissa = a.high>>41; |
129 | if ( mantissa ) | |
130 | return make_float32( | |
131 | ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) ); | |
132 | else | |
133 | return float32_default_nan; | |
158142c2 FB |
134 | } |
135 | ||
136 | /*---------------------------------------------------------------------------- | |
137 | | Takes two single-precision floating-point values `a' and `b', one of which | |
138 | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a | |
139 | | signaling NaN, the invalid exception is raised. | |
140 | *----------------------------------------------------------------------------*/ | |
141 | ||
142 | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM) | |
143 | { | |
144 | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | |
f090c9d4 | 145 | bits32 av, bv, res; |
158142c2 FB |
146 | |
147 | aIsNaN = float32_is_nan( a ); | |
148 | aIsSignalingNaN = float32_is_signaling_nan( a ); | |
149 | bIsNaN = float32_is_nan( b ); | |
150 | bIsSignalingNaN = float32_is_signaling_nan( b ); | |
f090c9d4 PB |
151 | av = float32_val(a); |
152 | bv = float32_val(b); | |
5a6932d5 | 153 | #if SNAN_BIT_IS_ONE |
f090c9d4 PB |
154 | av &= ~0x00400000; |
155 | bv &= ~0x00400000; | |
b645bb48 | 156 | #else |
f090c9d4 PB |
157 | av |= 0x00400000; |
158 | bv |= 0x00400000; | |
b645bb48 | 159 | #endif |
158142c2 FB |
160 | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR); |
161 | if ( aIsSignalingNaN ) { | |
162 | if ( bIsSignalingNaN ) goto returnLargerSignificand; | |
f090c9d4 | 163 | res = bIsNaN ? bv : av; |
158142c2 FB |
164 | } |
165 | else if ( aIsNaN ) { | |
f090c9d4 PB |
166 | if ( bIsSignalingNaN | ! bIsNaN ) |
167 | res = av; | |
168 | else { | |
158142c2 | 169 | returnLargerSignificand: |
f090c9d4 PB |
170 | if ( (bits32) ( av<<1 ) < (bits32) ( bv<<1 ) ) |
171 | res = bv; | |
172 | else if ( (bits32) ( bv<<1 ) < (bits32) ( av<<1 ) ) | |
173 | res = av; | |
174 | else | |
175 | res = ( av < bv ) ? av : bv; | |
176 | } | |
158142c2 FB |
177 | } |
178 | else { | |
f090c9d4 | 179 | res = bv; |
158142c2 | 180 | } |
f090c9d4 | 181 | return make_float32(res); |
158142c2 FB |
182 | } |
183 | ||
184 | /*---------------------------------------------------------------------------- | |
185 | | The pattern for a default generated double-precision NaN. | |
186 | *----------------------------------------------------------------------------*/ | |
85016c98 TS |
187 | #if defined(TARGET_SPARC) |
188 | #define float64_default_nan make_float64(LIT64( 0x7FFFFFFFFFFFFFFF )) | |
189 | #elif defined(TARGET_POWERPC) | |
190 | #define float64_default_nan make_float64(LIT64( 0x7FF8000000000000 )) | |
191 | #elif defined(TARGET_HPPA) | |
192 | #define float64_default_nan make_float64(LIT64( 0x7FF4000000000000 )) | |
193 | #elif SNAN_BIT_IS_ONE | |
f090c9d4 | 194 | #define float64_default_nan make_float64(LIT64( 0x7FF7FFFFFFFFFFFF )) |
b645bb48 | 195 | #else |
f090c9d4 | 196 | #define float64_default_nan make_float64(LIT64( 0xFFF8000000000000 )) |
b645bb48 | 197 | #endif |
158142c2 FB |
198 | |
199 | /*---------------------------------------------------------------------------- | |
5a6932d5 TS |
200 | | Returns 1 if the double-precision floating-point value `a' is a quiet |
201 | | NaN; otherwise returns 0. | |
158142c2 FB |
202 | *----------------------------------------------------------------------------*/ |
203 | ||
f090c9d4 | 204 | int float64_is_nan( float64 a_ ) |
158142c2 | 205 | { |
f090c9d4 | 206 | bits64 a = float64_val(a_); |
5a6932d5 | 207 | #if SNAN_BIT_IS_ONE |
b645bb48 TS |
208 | return |
209 | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) | |
210 | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); | |
211 | #else | |
212 | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); | |
213 | #endif | |
158142c2 FB |
214 | } |
215 | ||
216 | /*---------------------------------------------------------------------------- | |
217 | | Returns 1 if the double-precision floating-point value `a' is a signaling | |
218 | | NaN; otherwise returns 0. | |
219 | *----------------------------------------------------------------------------*/ | |
220 | ||
f090c9d4 | 221 | int float64_is_signaling_nan( float64 a_ ) |
158142c2 | 222 | { |
f090c9d4 | 223 | bits64 a = float64_val(a_); |
5a6932d5 | 224 | #if SNAN_BIT_IS_ONE |
b645bb48 TS |
225 | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
226 | #else | |
158142c2 FB |
227 | return |
228 | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) | |
229 | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); | |
b645bb48 | 230 | #endif |
158142c2 FB |
231 | } |
232 | ||
233 | /*---------------------------------------------------------------------------- | |
234 | | Returns the result of converting the double-precision floating-point NaN | |
235 | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid | |
236 | | exception is raised. | |
237 | *----------------------------------------------------------------------------*/ | |
238 | ||
239 | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM) | |
240 | { | |
241 | commonNaNT z; | |
242 | ||
243 | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR); | |
f090c9d4 | 244 | z.sign = float64_val(a)>>63; |
158142c2 | 245 | z.low = 0; |
f090c9d4 | 246 | z.high = float64_val(a)<<12; |
158142c2 | 247 | return z; |
158142c2 FB |
248 | } |
249 | ||
250 | /*---------------------------------------------------------------------------- | |
251 | | Returns the result of converting the canonical NaN `a' to the double- | |
252 | | precision floating-point format. | |
253 | *----------------------------------------------------------------------------*/ | |
254 | ||
255 | static float64 commonNaNToFloat64( commonNaNT a ) | |
256 | { | |
85016c98 TS |
257 | bits64 mantissa = a.high>>12; |
258 | ||
259 | if ( mantissa ) | |
260 | return make_float64( | |
261 | ( ( (bits64) a.sign )<<63 ) | |
262 | | LIT64( 0x7FF0000000000000 ) | |
263 | | ( a.high>>12 )); | |
264 | else | |
265 | return float64_default_nan; | |
158142c2 FB |
266 | } |
267 | ||
268 | /*---------------------------------------------------------------------------- | |
269 | | Takes two double-precision floating-point values `a' and `b', one of which | |
270 | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a | |
271 | | signaling NaN, the invalid exception is raised. | |
272 | *----------------------------------------------------------------------------*/ | |
273 | ||
274 | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM) | |
275 | { | |
276 | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | |
f090c9d4 | 277 | bits64 av, bv, res; |
158142c2 FB |
278 | |
279 | aIsNaN = float64_is_nan( a ); | |
280 | aIsSignalingNaN = float64_is_signaling_nan( a ); | |
281 | bIsNaN = float64_is_nan( b ); | |
282 | bIsSignalingNaN = float64_is_signaling_nan( b ); | |
f090c9d4 PB |
283 | av = float64_val(a); |
284 | bv = float64_val(b); | |
5a6932d5 | 285 | #if SNAN_BIT_IS_ONE |
f090c9d4 PB |
286 | av &= ~LIT64( 0x0008000000000000 ); |
287 | bv &= ~LIT64( 0x0008000000000000 ); | |
b645bb48 | 288 | #else |
f090c9d4 PB |
289 | av |= LIT64( 0x0008000000000000 ); |
290 | bv |= LIT64( 0x0008000000000000 ); | |
b645bb48 | 291 | #endif |
158142c2 FB |
292 | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR); |
293 | if ( aIsSignalingNaN ) { | |
294 | if ( bIsSignalingNaN ) goto returnLargerSignificand; | |
f090c9d4 | 295 | res = bIsNaN ? bv : av; |
158142c2 FB |
296 | } |
297 | else if ( aIsNaN ) { | |
f090c9d4 PB |
298 | if ( bIsSignalingNaN | ! bIsNaN ) |
299 | res = av; | |
300 | else { | |
158142c2 | 301 | returnLargerSignificand: |
f090c9d4 PB |
302 | if ( (bits64) ( av<<1 ) < (bits64) ( bv<<1 ) ) |
303 | res = bv; | |
304 | else if ( (bits64) ( bv<<1 ) < (bits64) ( av<<1 ) ) | |
305 | res = av; | |
306 | else | |
307 | res = ( av < bv ) ? av : bv; | |
308 | } | |
158142c2 FB |
309 | } |
310 | else { | |
f090c9d4 | 311 | res = bv; |
158142c2 | 312 | } |
f090c9d4 | 313 | return make_float64(res); |
158142c2 FB |
314 | } |
315 | ||
316 | #ifdef FLOATX80 | |
317 | ||
318 | /*---------------------------------------------------------------------------- | |
319 | | The pattern for a default generated extended double-precision NaN. The | |
320 | | `high' and `low' values hold the most- and least-significant bits, | |
321 | | respectively. | |
322 | *----------------------------------------------------------------------------*/ | |
5a6932d5 TS |
323 | #if SNAN_BIT_IS_ONE |
324 | #define floatx80_default_nan_high 0x7FFF | |
325 | #define floatx80_default_nan_low LIT64( 0xBFFFFFFFFFFFFFFF ) | |
326 | #else | |
158142c2 FB |
327 | #define floatx80_default_nan_high 0xFFFF |
328 | #define floatx80_default_nan_low LIT64( 0xC000000000000000 ) | |
5a6932d5 | 329 | #endif |
158142c2 FB |
330 | |
331 | /*---------------------------------------------------------------------------- | |
332 | | Returns 1 if the extended double-precision floating-point value `a' is a | |
5a6932d5 | 333 | | quiet NaN; otherwise returns 0. |
158142c2 FB |
334 | *----------------------------------------------------------------------------*/ |
335 | ||
750afe93 | 336 | int floatx80_is_nan( floatx80 a ) |
158142c2 | 337 | { |
5a6932d5 TS |
338 | #if SNAN_BIT_IS_ONE |
339 | bits64 aLow; | |
158142c2 | 340 | |
5a6932d5 TS |
341 | aLow = a.low & ~ LIT64( 0x4000000000000000 ); |
342 | return | |
343 | ( ( a.high & 0x7FFF ) == 0x7FFF ) | |
344 | && (bits64) ( aLow<<1 ) | |
345 | && ( a.low == aLow ); | |
346 | #else | |
158142c2 | 347 | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
5a6932d5 | 348 | #endif |
158142c2 FB |
349 | } |
350 | ||
351 | /*---------------------------------------------------------------------------- | |
352 | | Returns 1 if the extended double-precision floating-point value `a' is a | |
353 | | signaling NaN; otherwise returns 0. | |
354 | *----------------------------------------------------------------------------*/ | |
355 | ||
750afe93 | 356 | int floatx80_is_signaling_nan( floatx80 a ) |
158142c2 | 357 | { |
5a6932d5 TS |
358 | #if SNAN_BIT_IS_ONE |
359 | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); | |
360 | #else | |
158142c2 FB |
361 | bits64 aLow; |
362 | ||
363 | aLow = a.low & ~ LIT64( 0x4000000000000000 ); | |
364 | return | |
365 | ( ( a.high & 0x7FFF ) == 0x7FFF ) | |
366 | && (bits64) ( aLow<<1 ) | |
367 | && ( a.low == aLow ); | |
5a6932d5 | 368 | #endif |
158142c2 FB |
369 | } |
370 | ||
371 | /*---------------------------------------------------------------------------- | |
372 | | Returns the result of converting the extended double-precision floating- | |
373 | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the | |
374 | | invalid exception is raised. | |
375 | *----------------------------------------------------------------------------*/ | |
376 | ||
377 | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM) | |
378 | { | |
379 | commonNaNT z; | |
380 | ||
381 | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR); | |
382 | z.sign = a.high>>15; | |
383 | z.low = 0; | |
85016c98 | 384 | z.high = a.low; |
158142c2 | 385 | return z; |
158142c2 FB |
386 | } |
387 | ||
388 | /*---------------------------------------------------------------------------- | |
389 | | Returns the result of converting the canonical NaN `a' to the extended | |
390 | | double-precision floating-point format. | |
391 | *----------------------------------------------------------------------------*/ | |
392 | ||
393 | static floatx80 commonNaNToFloatx80( commonNaNT a ) | |
394 | { | |
395 | floatx80 z; | |
396 | ||
85016c98 TS |
397 | if (a.high) |
398 | z.low = a.high; | |
399 | else | |
400 | z.low = floatx80_default_nan_low; | |
158142c2 FB |
401 | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
402 | return z; | |
158142c2 FB |
403 | } |
404 | ||
405 | /*---------------------------------------------------------------------------- | |
406 | | Takes two extended double-precision floating-point values `a' and `b', one | |
407 | | of which is a NaN, and returns the appropriate NaN result. If either `a' or | |
408 | | `b' is a signaling NaN, the invalid exception is raised. | |
409 | *----------------------------------------------------------------------------*/ | |
410 | ||
411 | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM) | |
412 | { | |
413 | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | |
414 | ||
415 | aIsNaN = floatx80_is_nan( a ); | |
416 | aIsSignalingNaN = floatx80_is_signaling_nan( a ); | |
417 | bIsNaN = floatx80_is_nan( b ); | |
418 | bIsSignalingNaN = floatx80_is_signaling_nan( b ); | |
5a6932d5 TS |
419 | #if SNAN_BIT_IS_ONE |
420 | a.low &= ~LIT64( 0xC000000000000000 ); | |
421 | b.low &= ~LIT64( 0xC000000000000000 ); | |
422 | #else | |
158142c2 FB |
423 | a.low |= LIT64( 0xC000000000000000 ); |
424 | b.low |= LIT64( 0xC000000000000000 ); | |
5a6932d5 | 425 | #endif |
158142c2 FB |
426 | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR); |
427 | if ( aIsSignalingNaN ) { | |
428 | if ( bIsSignalingNaN ) goto returnLargerSignificand; | |
429 | return bIsNaN ? b : a; | |
430 | } | |
431 | else if ( aIsNaN ) { | |
432 | if ( bIsSignalingNaN | ! bIsNaN ) return a; | |
433 | returnLargerSignificand: | |
434 | if ( a.low < b.low ) return b; | |
435 | if ( b.low < a.low ) return a; | |
436 | return ( a.high < b.high ) ? a : b; | |
437 | } | |
438 | else { | |
439 | return b; | |
440 | } | |
158142c2 FB |
441 | } |
442 | ||
443 | #endif | |
444 | ||
445 | #ifdef FLOAT128 | |
446 | ||
447 | /*---------------------------------------------------------------------------- | |
448 | | The pattern for a default generated quadruple-precision NaN. The `high' and | |
449 | | `low' values hold the most- and least-significant bits, respectively. | |
450 | *----------------------------------------------------------------------------*/ | |
5a6932d5 TS |
451 | #if SNAN_BIT_IS_ONE |
452 | #define float128_default_nan_high LIT64( 0x7FFF7FFFFFFFFFFF ) | |
453 | #define float128_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) | |
454 | #else | |
158142c2 FB |
455 | #define float128_default_nan_high LIT64( 0xFFFF800000000000 ) |
456 | #define float128_default_nan_low LIT64( 0x0000000000000000 ) | |
5a6932d5 | 457 | #endif |
158142c2 FB |
458 | |
459 | /*---------------------------------------------------------------------------- | |
5a6932d5 TS |
460 | | Returns 1 if the quadruple-precision floating-point value `a' is a quiet |
461 | | NaN; otherwise returns 0. | |
158142c2 FB |
462 | *----------------------------------------------------------------------------*/ |
463 | ||
750afe93 | 464 | int float128_is_nan( float128 a ) |
158142c2 | 465 | { |
5a6932d5 TS |
466 | #if SNAN_BIT_IS_ONE |
467 | return | |
468 | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) | |
469 | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) ); | |
470 | #else | |
158142c2 FB |
471 | return |
472 | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) | |
473 | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) ); | |
5a6932d5 | 474 | #endif |
158142c2 FB |
475 | } |
476 | ||
477 | /*---------------------------------------------------------------------------- | |
478 | | Returns 1 if the quadruple-precision floating-point value `a' is a | |
479 | | signaling NaN; otherwise returns 0. | |
480 | *----------------------------------------------------------------------------*/ | |
481 | ||
750afe93 | 482 | int float128_is_signaling_nan( float128 a ) |
158142c2 | 483 | { |
5a6932d5 TS |
484 | #if SNAN_BIT_IS_ONE |
485 | return | |
486 | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) | |
487 | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) ); | |
488 | #else | |
158142c2 FB |
489 | return |
490 | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) | |
491 | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) ); | |
5a6932d5 | 492 | #endif |
158142c2 FB |
493 | } |
494 | ||
495 | /*---------------------------------------------------------------------------- | |
496 | | Returns the result of converting the quadruple-precision floating-point NaN | |
497 | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid | |
498 | | exception is raised. | |
499 | *----------------------------------------------------------------------------*/ | |
500 | ||
501 | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM) | |
502 | { | |
503 | commonNaNT z; | |
504 | ||
505 | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR); | |
506 | z.sign = a.high>>63; | |
507 | shortShift128Left( a.high, a.low, 16, &z.high, &z.low ); | |
508 | return z; | |
158142c2 FB |
509 | } |
510 | ||
511 | /*---------------------------------------------------------------------------- | |
512 | | Returns the result of converting the canonical NaN `a' to the quadruple- | |
513 | | precision floating-point format. | |
514 | *----------------------------------------------------------------------------*/ | |
515 | ||
516 | static float128 commonNaNToFloat128( commonNaNT a ) | |
517 | { | |
518 | float128 z; | |
519 | ||
520 | shift128Right( a.high, a.low, 16, &z.high, &z.low ); | |
85016c98 | 521 | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 ); |
158142c2 | 522 | return z; |
158142c2 FB |
523 | } |
524 | ||
525 | /*---------------------------------------------------------------------------- | |
526 | | Takes two quadruple-precision floating-point values `a' and `b', one of | |
527 | | which is a NaN, and returns the appropriate NaN result. If either `a' or | |
528 | | `b' is a signaling NaN, the invalid exception is raised. | |
529 | *----------------------------------------------------------------------------*/ | |
530 | ||
531 | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM) | |
532 | { | |
533 | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | |
534 | ||
535 | aIsNaN = float128_is_nan( a ); | |
536 | aIsSignalingNaN = float128_is_signaling_nan( a ); | |
537 | bIsNaN = float128_is_nan( b ); | |
538 | bIsSignalingNaN = float128_is_signaling_nan( b ); | |
5a6932d5 TS |
539 | #if SNAN_BIT_IS_ONE |
540 | a.high &= ~LIT64( 0x0000800000000000 ); | |
541 | b.high &= ~LIT64( 0x0000800000000000 ); | |
542 | #else | |
158142c2 FB |
543 | a.high |= LIT64( 0x0000800000000000 ); |
544 | b.high |= LIT64( 0x0000800000000000 ); | |
5a6932d5 | 545 | #endif |
158142c2 FB |
546 | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR); |
547 | if ( aIsSignalingNaN ) { | |
548 | if ( bIsSignalingNaN ) goto returnLargerSignificand; | |
549 | return bIsNaN ? b : a; | |
550 | } | |
551 | else if ( aIsNaN ) { | |
552 | if ( bIsSignalingNaN | ! bIsNaN ) return a; | |
553 | returnLargerSignificand: | |
554 | if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b; | |
555 | if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a; | |
556 | return ( a.high < b.high ) ? a : b; | |
557 | } | |
558 | else { | |
559 | return b; | |
560 | } | |
158142c2 FB |
561 | } |
562 | ||
563 | #endif |