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1.1 root 1: /*============================================================================
2:
3: This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
4: Package, Release 2b.
5:
6: Written by John R. Hauser. This work was made possible in part by the
7: International Computer Science Institute, located at Suite 600, 1947 Center
8: Street, Berkeley, California 94704. Funding was partially provided by the
9: National Science Foundation under grant MIP-9311980. The original version
10: of this code was written as part of a project to build a fixed-point vector
11: processor in collaboration with the University of California at Berkeley,
12: overseen by Profs. Nelson Morgan and John Wawrzynek. More information
13: is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
14: arithmetic/SoftFloat.html'.
15:
16: THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
17: been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
18: RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
19: AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
20: COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
21: EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
22: INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
23: OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
24:
25: Derivative works are acceptable, even for commercial purposes, so long as
26: (1) the source code for the derivative work includes prominent notice that
27: the work is derivative, and (2) the source code includes prominent notice with
28: these four paragraphs for those parts of this code that are retained.
29:
30: =============================================================================*/
31:
32: #ifndef SOFTFLOAT_H
33: #define SOFTFLOAT_H
34:
1.1.1.4 root 35: #if defined(HOST_SOLARIS) && defined(NEEDS_LIBSUNMATH)
36: #include <sunmath.h>
37: #endif
38:
1.1 root 39: #include <inttypes.h>
40: #include "config.h"
41:
42: /*----------------------------------------------------------------------------
43: | Each of the following `typedef's defines the most convenient type that holds
44: | integers of at least as many bits as specified. For example, `uint8' should
45: | be the most convenient type that can hold unsigned integers of as many as
46: | 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
47: | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
48: | to the same as `int'.
49: *----------------------------------------------------------------------------*/
1.1.1.3 root 50: typedef uint8_t flag;
1.1 root 51: typedef uint8_t uint8;
52: typedef int8_t int8;
1.1.1.5 ! root 53: #ifndef _AIX
1.1 root 54: typedef int uint16;
55: typedef int int16;
1.1.1.5 ! root 56: #endif
1.1 root 57: typedef unsigned int uint32;
58: typedef signed int int32;
59: typedef uint64_t uint64;
60: typedef int64_t int64;
61:
62: /*----------------------------------------------------------------------------
63: | Each of the following `typedef's defines a type that holds integers
64: | of _exactly_ the number of bits specified. For instance, for most
65: | implementation of C, `bits16' and `sbits16' should be `typedef'ed to
66: | `unsigned short int' and `signed short int' (or `short int'), respectively.
67: *----------------------------------------------------------------------------*/
68: typedef uint8_t bits8;
69: typedef int8_t sbits8;
70: typedef uint16_t bits16;
71: typedef int16_t sbits16;
72: typedef uint32_t bits32;
73: typedef int32_t sbits32;
74: typedef uint64_t bits64;
75: typedef int64_t sbits64;
76:
77: #define LIT64( a ) a##LL
78: #define INLINE static inline
79:
80: /*----------------------------------------------------------------------------
81: | The macro `FLOATX80' must be defined to enable the extended double-precision
82: | floating-point format `floatx80'. If this macro is not defined, the
83: | `floatx80' type will not be defined, and none of the functions that either
84: | input or output the `floatx80' type will be defined. The same applies to
85: | the `FLOAT128' macro and the quadruple-precision format `float128'.
86: *----------------------------------------------------------------------------*/
87: #ifdef CONFIG_SOFTFLOAT
88: /* bit exact soft float support */
89: #define FLOATX80
90: #define FLOAT128
91: #else
92: /* native float support */
93: #if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD)
94: #define FLOATX80
95: #endif
96: #endif /* !CONFIG_SOFTFLOAT */
97:
98: #define STATUS_PARAM , float_status *status
99: #define STATUS(field) status->field
100: #define STATUS_VAR , status
101:
102: /*----------------------------------------------------------------------------
103: | Software IEC/IEEE floating-point ordering relations
104: *----------------------------------------------------------------------------*/
105: enum {
106: float_relation_less = -1,
107: float_relation_equal = 0,
108: float_relation_greater = 1,
109: float_relation_unordered = 2
110: };
111:
112: #ifdef CONFIG_SOFTFLOAT
113: /*----------------------------------------------------------------------------
114: | Software IEC/IEEE floating-point types.
115: *----------------------------------------------------------------------------*/
1.1.1.4 root 116: /* Use structures for soft-float types. This prevents accidentally mixing
117: them with native int/float types. A sufficiently clever compiler and
118: sane ABI should be able to see though these structs. However
119: x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */
120: //#define USE_SOFTFLOAT_STRUCT_TYPES
121: #ifdef USE_SOFTFLOAT_STRUCT_TYPES
122: typedef struct {
123: uint32_t v;
124: } float32;
125: /* The cast ensures an error if the wrong type is passed. */
126: #define float32_val(x) (((float32)(x)).v)
127: #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
128: typedef struct {
129: uint64_t v;
130: } float64;
131: #define float64_val(x) (((float64)(x)).v)
132: #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
133: #else
1.1 root 134: typedef uint32_t float32;
135: typedef uint64_t float64;
1.1.1.4 root 136: #define float32_val(x) (x)
137: #define float64_val(x) (x)
138: #define make_float32(x) (x)
139: #define make_float64(x) (x)
140: #endif
1.1 root 141: #ifdef FLOATX80
142: typedef struct {
143: uint64_t low;
144: uint16_t high;
145: } floatx80;
146: #endif
147: #ifdef FLOAT128
148: typedef struct {
149: #ifdef WORDS_BIGENDIAN
150: uint64_t high, low;
151: #else
152: uint64_t low, high;
153: #endif
154: } float128;
155: #endif
156:
157: /*----------------------------------------------------------------------------
158: | Software IEC/IEEE floating-point underflow tininess-detection mode.
159: *----------------------------------------------------------------------------*/
160: enum {
161: float_tininess_after_rounding = 0,
162: float_tininess_before_rounding = 1
163: };
164:
165: /*----------------------------------------------------------------------------
166: | Software IEC/IEEE floating-point rounding mode.
167: *----------------------------------------------------------------------------*/
168: enum {
169: float_round_nearest_even = 0,
170: float_round_down = 1,
171: float_round_up = 2,
172: float_round_to_zero = 3
173: };
174:
175: /*----------------------------------------------------------------------------
176: | Software IEC/IEEE floating-point exception flags.
177: *----------------------------------------------------------------------------*/
178: enum {
179: float_flag_invalid = 1,
180: float_flag_divbyzero = 4,
181: float_flag_overflow = 8,
182: float_flag_underflow = 16,
183: float_flag_inexact = 32
184: };
185:
186: typedef struct float_status {
187: signed char float_detect_tininess;
188: signed char float_rounding_mode;
189: signed char float_exception_flags;
190: #ifdef FLOATX80
191: signed char floatx80_rounding_precision;
192: #endif
1.1.1.5 ! root 193: flag flush_to_zero;
! 194: flag default_nan_mode;
1.1 root 195: } float_status;
196:
197: void set_float_rounding_mode(int val STATUS_PARAM);
198: void set_float_exception_flags(int val STATUS_PARAM);
1.1.1.5 ! root 199: INLINE void set_flush_to_zero(flag val STATUS_PARAM)
! 200: {
! 201: STATUS(flush_to_zero) = val;
! 202: }
! 203: INLINE void set_default_nan_mode(flag val STATUS_PARAM)
! 204: {
! 205: STATUS(default_nan_mode) = val;
! 206: }
1.1 root 207: INLINE int get_float_exception_flags(float_status *status)
208: {
209: return STATUS(float_exception_flags);
210: }
211: #ifdef FLOATX80
212: void set_floatx80_rounding_precision(int val STATUS_PARAM);
213: #endif
214:
215: /*----------------------------------------------------------------------------
216: | Routine to raise any or all of the software IEC/IEEE floating-point
217: | exception flags.
218: *----------------------------------------------------------------------------*/
1.1.1.2 root 219: void float_raise( int8 flags STATUS_PARAM);
1.1 root 220:
221: /*----------------------------------------------------------------------------
222: | Software IEC/IEEE integer-to-floating-point conversion routines.
223: *----------------------------------------------------------------------------*/
224: float32 int32_to_float32( int STATUS_PARAM );
225: float64 int32_to_float64( int STATUS_PARAM );
226: float32 uint32_to_float32( unsigned int STATUS_PARAM );
227: float64 uint32_to_float64( unsigned int STATUS_PARAM );
228: #ifdef FLOATX80
229: floatx80 int32_to_floatx80( int STATUS_PARAM );
230: #endif
231: #ifdef FLOAT128
232: float128 int32_to_float128( int STATUS_PARAM );
233: #endif
234: float32 int64_to_float32( int64_t STATUS_PARAM );
1.1.1.4 root 235: float32 uint64_to_float32( uint64_t STATUS_PARAM );
1.1 root 236: float64 int64_to_float64( int64_t STATUS_PARAM );
1.1.1.4 root 237: float64 uint64_to_float64( uint64_t STATUS_PARAM );
1.1 root 238: #ifdef FLOATX80
239: floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
240: #endif
241: #ifdef FLOAT128
242: float128 int64_to_float128( int64_t STATUS_PARAM );
243: #endif
244:
245: /*----------------------------------------------------------------------------
246: | Software IEC/IEEE single-precision conversion routines.
247: *----------------------------------------------------------------------------*/
248: int float32_to_int32( float32 STATUS_PARAM );
249: int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
250: unsigned int float32_to_uint32( float32 STATUS_PARAM );
251: unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
252: int64_t float32_to_int64( float32 STATUS_PARAM );
253: int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
254: float64 float32_to_float64( float32 STATUS_PARAM );
255: #ifdef FLOATX80
256: floatx80 float32_to_floatx80( float32 STATUS_PARAM );
257: #endif
258: #ifdef FLOAT128
259: float128 float32_to_float128( float32 STATUS_PARAM );
260: #endif
261:
262: /*----------------------------------------------------------------------------
263: | Software IEC/IEEE single-precision operations.
264: *----------------------------------------------------------------------------*/
265: float32 float32_round_to_int( float32 STATUS_PARAM );
266: float32 float32_add( float32, float32 STATUS_PARAM );
267: float32 float32_sub( float32, float32 STATUS_PARAM );
268: float32 float32_mul( float32, float32 STATUS_PARAM );
269: float32 float32_div( float32, float32 STATUS_PARAM );
270: float32 float32_rem( float32, float32 STATUS_PARAM );
271: float32 float32_sqrt( float32 STATUS_PARAM );
1.1.1.5 ! root 272: float32 float32_log2( float32 STATUS_PARAM );
1.1.1.3 root 273: int float32_eq( float32, float32 STATUS_PARAM );
274: int float32_le( float32, float32 STATUS_PARAM );
275: int float32_lt( float32, float32 STATUS_PARAM );
276: int float32_eq_signaling( float32, float32 STATUS_PARAM );
277: int float32_le_quiet( float32, float32 STATUS_PARAM );
278: int float32_lt_quiet( float32, float32 STATUS_PARAM );
279: int float32_compare( float32, float32 STATUS_PARAM );
280: int float32_compare_quiet( float32, float32 STATUS_PARAM );
1.1.1.4 root 281: int float32_is_nan( float32 );
1.1.1.3 root 282: int float32_is_signaling_nan( float32 );
1.1.1.4 root 283: float32 float32_scalbn( float32, int STATUS_PARAM );
1.1 root 284:
285: INLINE float32 float32_abs(float32 a)
286: {
1.1.1.4 root 287: return make_float32(float32_val(a) & 0x7fffffff);
1.1 root 288: }
289:
290: INLINE float32 float32_chs(float32 a)
291: {
1.1.1.4 root 292: return make_float32(float32_val(a) ^ 0x80000000);
1.1 root 293: }
294:
1.1.1.5 ! root 295: INLINE int float32_is_infinity(float32 a)
! 296: {
! 297: return (float32_val(a) & 0x7fffffff) == 0x7f800000;
! 298: }
! 299:
! 300: INLINE int float32_is_neg(float32 a)
! 301: {
! 302: return float32_val(a) >> 31;
! 303: }
! 304:
! 305: INLINE int float32_is_zero(float32 a)
! 306: {
! 307: return (float32_val(a) & 0x7fffffff) == 0;
! 308: }
! 309:
1.1.1.4 root 310: #define float32_zero make_float32(0)
1.1.1.5 ! root 311: #define float32_one make_float32(0x3f800000)
1.1.1.4 root 312:
1.1 root 313: /*----------------------------------------------------------------------------
314: | Software IEC/IEEE double-precision conversion routines.
315: *----------------------------------------------------------------------------*/
316: int float64_to_int32( float64 STATUS_PARAM );
317: int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
318: unsigned int float64_to_uint32( float64 STATUS_PARAM );
319: unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
320: int64_t float64_to_int64( float64 STATUS_PARAM );
321: int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
1.1.1.4 root 322: uint64_t float64_to_uint64 (float64 a STATUS_PARAM);
323: uint64_t float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
1.1 root 324: float32 float64_to_float32( float64 STATUS_PARAM );
325: #ifdef FLOATX80
326: floatx80 float64_to_floatx80( float64 STATUS_PARAM );
327: #endif
328: #ifdef FLOAT128
329: float128 float64_to_float128( float64 STATUS_PARAM );
330: #endif
331:
332: /*----------------------------------------------------------------------------
333: | Software IEC/IEEE double-precision operations.
334: *----------------------------------------------------------------------------*/
335: float64 float64_round_to_int( float64 STATUS_PARAM );
1.1.1.3 root 336: float64 float64_trunc_to_int( float64 STATUS_PARAM );
1.1 root 337: float64 float64_add( float64, float64 STATUS_PARAM );
338: float64 float64_sub( float64, float64 STATUS_PARAM );
339: float64 float64_mul( float64, float64 STATUS_PARAM );
340: float64 float64_div( float64, float64 STATUS_PARAM );
341: float64 float64_rem( float64, float64 STATUS_PARAM );
342: float64 float64_sqrt( float64 STATUS_PARAM );
1.1.1.5 ! root 343: float64 float64_log2( float64 STATUS_PARAM );
1.1.1.3 root 344: int float64_eq( float64, float64 STATUS_PARAM );
345: int float64_le( float64, float64 STATUS_PARAM );
346: int float64_lt( float64, float64 STATUS_PARAM );
347: int float64_eq_signaling( float64, float64 STATUS_PARAM );
348: int float64_le_quiet( float64, float64 STATUS_PARAM );
349: int float64_lt_quiet( float64, float64 STATUS_PARAM );
350: int float64_compare( float64, float64 STATUS_PARAM );
351: int float64_compare_quiet( float64, float64 STATUS_PARAM );
1.1.1.4 root 352: int float64_is_nan( float64 a );
1.1.1.3 root 353: int float64_is_signaling_nan( float64 );
1.1.1.4 root 354: float64 float64_scalbn( float64, int STATUS_PARAM );
1.1 root 355:
356: INLINE float64 float64_abs(float64 a)
357: {
1.1.1.4 root 358: return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
1.1 root 359: }
360:
361: INLINE float64 float64_chs(float64 a)
362: {
1.1.1.4 root 363: return make_float64(float64_val(a) ^ 0x8000000000000000LL);
1.1 root 364: }
365:
1.1.1.5 ! root 366: INLINE int float64_is_infinity(float64 a)
! 367: {
! 368: return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
! 369: }
! 370:
! 371: INLINE int float64_is_neg(float64 a)
! 372: {
! 373: return float64_val(a) >> 63;
! 374: }
! 375:
! 376: INLINE int float64_is_zero(float64 a)
! 377: {
! 378: return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
! 379: }
! 380:
1.1.1.4 root 381: #define float64_zero make_float64(0)
1.1.1.5 ! root 382: #define float64_one make_float64(0x3ff0000000000000LL)
1.1.1.4 root 383:
1.1 root 384: #ifdef FLOATX80
385:
386: /*----------------------------------------------------------------------------
387: | Software IEC/IEEE extended double-precision conversion routines.
388: *----------------------------------------------------------------------------*/
389: int floatx80_to_int32( floatx80 STATUS_PARAM );
390: int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
391: int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
392: int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
393: float32 floatx80_to_float32( floatx80 STATUS_PARAM );
394: float64 floatx80_to_float64( floatx80 STATUS_PARAM );
395: #ifdef FLOAT128
396: float128 floatx80_to_float128( floatx80 STATUS_PARAM );
397: #endif
398:
399: /*----------------------------------------------------------------------------
400: | Software IEC/IEEE extended double-precision operations.
401: *----------------------------------------------------------------------------*/
402: floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
403: floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
404: floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
405: floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
406: floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
407: floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
408: floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
1.1.1.3 root 409: int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
410: int floatx80_le( floatx80, floatx80 STATUS_PARAM );
411: int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
412: int floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
413: int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
414: int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
1.1.1.4 root 415: int floatx80_is_nan( floatx80 );
1.1.1.3 root 416: int floatx80_is_signaling_nan( floatx80 );
1.1.1.4 root 417: floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
1.1 root 418:
419: INLINE floatx80 floatx80_abs(floatx80 a)
420: {
421: a.high &= 0x7fff;
422: return a;
423: }
424:
425: INLINE floatx80 floatx80_chs(floatx80 a)
426: {
427: a.high ^= 0x8000;
428: return a;
429: }
430:
1.1.1.5 ! root 431: INLINE int floatx80_is_infinity(floatx80 a)
! 432: {
! 433: return (a.high & 0x7fff) == 0x7fff && a.low == 0;
! 434: }
! 435:
! 436: INLINE int floatx80_is_neg(floatx80 a)
! 437: {
! 438: return a.high >> 15;
! 439: }
! 440:
! 441: INLINE int floatx80_is_zero(floatx80 a)
! 442: {
! 443: return (a.high & 0x7fff) == 0 && a.low == 0;
! 444: }
! 445:
1.1 root 446: #endif
447:
448: #ifdef FLOAT128
449:
450: /*----------------------------------------------------------------------------
451: | Software IEC/IEEE quadruple-precision conversion routines.
452: *----------------------------------------------------------------------------*/
453: int float128_to_int32( float128 STATUS_PARAM );
454: int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
455: int64_t float128_to_int64( float128 STATUS_PARAM );
456: int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
457: float32 float128_to_float32( float128 STATUS_PARAM );
458: float64 float128_to_float64( float128 STATUS_PARAM );
459: #ifdef FLOATX80
460: floatx80 float128_to_floatx80( float128 STATUS_PARAM );
461: #endif
462:
463: /*----------------------------------------------------------------------------
464: | Software IEC/IEEE quadruple-precision operations.
465: *----------------------------------------------------------------------------*/
466: float128 float128_round_to_int( float128 STATUS_PARAM );
467: float128 float128_add( float128, float128 STATUS_PARAM );
468: float128 float128_sub( float128, float128 STATUS_PARAM );
469: float128 float128_mul( float128, float128 STATUS_PARAM );
470: float128 float128_div( float128, float128 STATUS_PARAM );
471: float128 float128_rem( float128, float128 STATUS_PARAM );
472: float128 float128_sqrt( float128 STATUS_PARAM );
1.1.1.3 root 473: int float128_eq( float128, float128 STATUS_PARAM );
474: int float128_le( float128, float128 STATUS_PARAM );
475: int float128_lt( float128, float128 STATUS_PARAM );
476: int float128_eq_signaling( float128, float128 STATUS_PARAM );
477: int float128_le_quiet( float128, float128 STATUS_PARAM );
478: int float128_lt_quiet( float128, float128 STATUS_PARAM );
1.1.1.4 root 479: int float128_compare( float128, float128 STATUS_PARAM );
480: int float128_compare_quiet( float128, float128 STATUS_PARAM );
481: int float128_is_nan( float128 );
1.1.1.3 root 482: int float128_is_signaling_nan( float128 );
1.1.1.4 root 483: float128 float128_scalbn( float128, int STATUS_PARAM );
1.1 root 484:
485: INLINE float128 float128_abs(float128 a)
486: {
487: a.high &= 0x7fffffffffffffffLL;
488: return a;
489: }
490:
491: INLINE float128 float128_chs(float128 a)
492: {
493: a.high ^= 0x8000000000000000LL;
494: return a;
495: }
496:
1.1.1.5 ! root 497: INLINE int float128_is_infinity(float128 a)
! 498: {
! 499: return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
! 500: }
! 501:
! 502: INLINE int float128_is_neg(float128 a)
! 503: {
! 504: return a.high >> 63;
! 505: }
! 506:
! 507: INLINE int float128_is_zero(float128 a)
! 508: {
! 509: return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
! 510: }
! 511:
1.1 root 512: #endif
513:
514: #else /* CONFIG_SOFTFLOAT */
515:
516: #include "softfloat-native.h"
517:
518: #endif /* !CONFIG_SOFTFLOAT */
519:
520: #endif /* !SOFTFLOAT_H */
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