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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:
35: #include <inttypes.h>
36: #include "config.h"
37:
38: /*----------------------------------------------------------------------------
39: | Each of the following `typedef's defines the most convenient type that holds
40: | integers of at least as many bits as specified. For example, `uint8' should
41: | be the most convenient type that can hold unsigned integers of as many as
42: | 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
43: | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
44: | to the same as `int'.
45: *----------------------------------------------------------------------------*/
46: typedef char flag;
47: typedef uint8_t uint8;
48: typedef int8_t int8;
49: typedef int uint16;
50: typedef int int16;
51: typedef unsigned int uint32;
52: typedef signed int int32;
53: typedef uint64_t uint64;
54: typedef int64_t int64;
55:
56: /*----------------------------------------------------------------------------
57: | Each of the following `typedef's defines a type that holds integers
58: | of _exactly_ the number of bits specified. For instance, for most
59: | implementation of C, `bits16' and `sbits16' should be `typedef'ed to
60: | `unsigned short int' and `signed short int' (or `short int'), respectively.
61: *----------------------------------------------------------------------------*/
62: typedef uint8_t bits8;
63: typedef int8_t sbits8;
64: typedef uint16_t bits16;
65: typedef int16_t sbits16;
66: typedef uint32_t bits32;
67: typedef int32_t sbits32;
68: typedef uint64_t bits64;
69: typedef int64_t sbits64;
70:
71: #define LIT64( a ) a##LL
72: #define INLINE static inline
73:
74: /*----------------------------------------------------------------------------
75: | The macro `FLOATX80' must be defined to enable the extended double-precision
76: | floating-point format `floatx80'. If this macro is not defined, the
77: | `floatx80' type will not be defined, and none of the functions that either
78: | input or output the `floatx80' type will be defined. The same applies to
79: | the `FLOAT128' macro and the quadruple-precision format `float128'.
80: *----------------------------------------------------------------------------*/
81: #ifdef CONFIG_SOFTFLOAT
82: /* bit exact soft float support */
83: #define FLOATX80
84: #define FLOAT128
85: #else
86: /* native float support */
87: #if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD)
88: #define FLOATX80
89: #endif
90: #endif /* !CONFIG_SOFTFLOAT */
91:
92: #define STATUS_PARAM , float_status *status
93: #define STATUS(field) status->field
94: #define STATUS_VAR , status
95:
96: /*----------------------------------------------------------------------------
97: | Software IEC/IEEE floating-point ordering relations
98: *----------------------------------------------------------------------------*/
99: enum {
100: float_relation_less = -1,
101: float_relation_equal = 0,
102: float_relation_greater = 1,
103: float_relation_unordered = 2
104: };
105:
106: #ifdef CONFIG_SOFTFLOAT
107: /*----------------------------------------------------------------------------
108: | Software IEC/IEEE floating-point types.
109: *----------------------------------------------------------------------------*/
110: typedef uint32_t float32;
111: typedef uint64_t float64;
112: #ifdef FLOATX80
113: typedef struct {
114: uint64_t low;
115: uint16_t high;
116: } floatx80;
117: #endif
118: #ifdef FLOAT128
119: typedef struct {
120: #ifdef WORDS_BIGENDIAN
121: uint64_t high, low;
122: #else
123: uint64_t low, high;
124: #endif
125: } float128;
126: #endif
127:
128: /*----------------------------------------------------------------------------
129: | Software IEC/IEEE floating-point underflow tininess-detection mode.
130: *----------------------------------------------------------------------------*/
131: enum {
132: float_tininess_after_rounding = 0,
133: float_tininess_before_rounding = 1
134: };
135:
136: /*----------------------------------------------------------------------------
137: | Software IEC/IEEE floating-point rounding mode.
138: *----------------------------------------------------------------------------*/
139: enum {
140: float_round_nearest_even = 0,
141: float_round_down = 1,
142: float_round_up = 2,
143: float_round_to_zero = 3
144: };
145:
146: /*----------------------------------------------------------------------------
147: | Software IEC/IEEE floating-point exception flags.
148: *----------------------------------------------------------------------------*/
149: enum {
150: float_flag_invalid = 1,
151: float_flag_divbyzero = 4,
152: float_flag_overflow = 8,
153: float_flag_underflow = 16,
154: float_flag_inexact = 32
155: };
156:
157: typedef struct float_status {
158: signed char float_detect_tininess;
159: signed char float_rounding_mode;
160: signed char float_exception_flags;
161: #ifdef FLOATX80
162: signed char floatx80_rounding_precision;
163: #endif
164: } float_status;
165:
166: void set_float_rounding_mode(int val STATUS_PARAM);
167: void set_float_exception_flags(int val STATUS_PARAM);
168: INLINE int get_float_exception_flags(float_status *status)
169: {
170: return STATUS(float_exception_flags);
171: }
172: #ifdef FLOATX80
173: void set_floatx80_rounding_precision(int val STATUS_PARAM);
174: #endif
175:
176: /*----------------------------------------------------------------------------
177: | Routine to raise any or all of the software IEC/IEEE floating-point
178: | exception flags.
179: *----------------------------------------------------------------------------*/
180: void float_raise( signed char STATUS_PARAM);
181:
182: /*----------------------------------------------------------------------------
183: | Software IEC/IEEE integer-to-floating-point conversion routines.
184: *----------------------------------------------------------------------------*/
185: float32 int32_to_float32( int STATUS_PARAM );
186: float64 int32_to_float64( int STATUS_PARAM );
187: float32 uint32_to_float32( unsigned int STATUS_PARAM );
188: float64 uint32_to_float64( unsigned int STATUS_PARAM );
189: #ifdef FLOATX80
190: floatx80 int32_to_floatx80( int STATUS_PARAM );
191: #endif
192: #ifdef FLOAT128
193: float128 int32_to_float128( int STATUS_PARAM );
194: #endif
195: float32 int64_to_float32( int64_t STATUS_PARAM );
196: float64 int64_to_float64( int64_t STATUS_PARAM );
197: #ifdef FLOATX80
198: floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
199: #endif
200: #ifdef FLOAT128
201: float128 int64_to_float128( int64_t STATUS_PARAM );
202: #endif
203:
204: /*----------------------------------------------------------------------------
205: | Software IEC/IEEE single-precision conversion routines.
206: *----------------------------------------------------------------------------*/
207: int float32_to_int32( float32 STATUS_PARAM );
208: int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
209: unsigned int float32_to_uint32( float32 STATUS_PARAM );
210: unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
211: int64_t float32_to_int64( float32 STATUS_PARAM );
212: int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
213: float64 float32_to_float64( float32 STATUS_PARAM );
214: #ifdef FLOATX80
215: floatx80 float32_to_floatx80( float32 STATUS_PARAM );
216: #endif
217: #ifdef FLOAT128
218: float128 float32_to_float128( float32 STATUS_PARAM );
219: #endif
220:
221: /*----------------------------------------------------------------------------
222: | Software IEC/IEEE single-precision operations.
223: *----------------------------------------------------------------------------*/
224: float32 float32_round_to_int( float32 STATUS_PARAM );
225: float32 float32_add( float32, float32 STATUS_PARAM );
226: float32 float32_sub( float32, float32 STATUS_PARAM );
227: float32 float32_mul( float32, float32 STATUS_PARAM );
228: float32 float32_div( float32, float32 STATUS_PARAM );
229: float32 float32_rem( float32, float32 STATUS_PARAM );
230: float32 float32_sqrt( float32 STATUS_PARAM );
231: char float32_eq( float32, float32 STATUS_PARAM );
232: char float32_le( float32, float32 STATUS_PARAM );
233: char float32_lt( float32, float32 STATUS_PARAM );
234: char float32_eq_signaling( float32, float32 STATUS_PARAM );
235: char float32_le_quiet( float32, float32 STATUS_PARAM );
236: char float32_lt_quiet( float32, float32 STATUS_PARAM );
237: char float32_compare( float32, float32 STATUS_PARAM );
238: char float32_compare_quiet( float32, float32 STATUS_PARAM );
239: char float32_is_signaling_nan( float32 );
240:
241: INLINE float32 float32_abs(float32 a)
242: {
243: return a & 0x7fffffff;
244: }
245:
246: INLINE float32 float32_chs(float32 a)
247: {
248: return a ^ 0x80000000;
249: }
250:
251: /*----------------------------------------------------------------------------
252: | Software IEC/IEEE double-precision conversion routines.
253: *----------------------------------------------------------------------------*/
254: int float64_to_int32( float64 STATUS_PARAM );
255: int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
256: unsigned int float64_to_uint32( float64 STATUS_PARAM );
257: unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
258: int64_t float64_to_int64( float64 STATUS_PARAM );
259: int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
260: float32 float64_to_float32( float64 STATUS_PARAM );
261: #ifdef FLOATX80
262: floatx80 float64_to_floatx80( float64 STATUS_PARAM );
263: #endif
264: #ifdef FLOAT128
265: float128 float64_to_float128( float64 STATUS_PARAM );
266: #endif
267:
268: /*----------------------------------------------------------------------------
269: | Software IEC/IEEE double-precision operations.
270: *----------------------------------------------------------------------------*/
271: float64 float64_round_to_int( float64 STATUS_PARAM );
272: float64 float64_add( float64, float64 STATUS_PARAM );
273: float64 float64_sub( float64, float64 STATUS_PARAM );
274: float64 float64_mul( float64, float64 STATUS_PARAM );
275: float64 float64_div( float64, float64 STATUS_PARAM );
276: float64 float64_rem( float64, float64 STATUS_PARAM );
277: float64 float64_sqrt( float64 STATUS_PARAM );
278: char float64_eq( float64, float64 STATUS_PARAM );
279: char float64_le( float64, float64 STATUS_PARAM );
280: char float64_lt( float64, float64 STATUS_PARAM );
281: char float64_eq_signaling( float64, float64 STATUS_PARAM );
282: char float64_le_quiet( float64, float64 STATUS_PARAM );
283: char float64_lt_quiet( float64, float64 STATUS_PARAM );
284: char float64_compare( float64, float64 STATUS_PARAM );
285: char float64_compare_quiet( float64, float64 STATUS_PARAM );
286: char float64_is_signaling_nan( float64 );
287:
288: INLINE float64 float64_abs(float64 a)
289: {
290: return a & 0x7fffffffffffffffLL;
291: }
292:
293: INLINE float64 float64_chs(float64 a)
294: {
295: return a ^ 0x8000000000000000LL;
296: }
297:
298: #ifdef FLOATX80
299:
300: /*----------------------------------------------------------------------------
301: | Software IEC/IEEE extended double-precision conversion routines.
302: *----------------------------------------------------------------------------*/
303: int floatx80_to_int32( floatx80 STATUS_PARAM );
304: int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
305: int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
306: int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
307: float32 floatx80_to_float32( floatx80 STATUS_PARAM );
308: float64 floatx80_to_float64( floatx80 STATUS_PARAM );
309: #ifdef FLOAT128
310: float128 floatx80_to_float128( floatx80 STATUS_PARAM );
311: #endif
312:
313: /*----------------------------------------------------------------------------
314: | Software IEC/IEEE extended double-precision operations.
315: *----------------------------------------------------------------------------*/
316: floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
317: floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
318: floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
319: floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
320: floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
321: floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
322: floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
323: char floatx80_eq( floatx80, floatx80 STATUS_PARAM );
324: char floatx80_le( floatx80, floatx80 STATUS_PARAM );
325: char floatx80_lt( floatx80, floatx80 STATUS_PARAM );
326: char floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
327: char floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
328: char floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
329: char floatx80_is_signaling_nan( floatx80 );
330:
331: INLINE floatx80 floatx80_abs(floatx80 a)
332: {
333: a.high &= 0x7fff;
334: return a;
335: }
336:
337: INLINE floatx80 floatx80_chs(floatx80 a)
338: {
339: a.high ^= 0x8000;
340: return a;
341: }
342:
343: #endif
344:
345: #ifdef FLOAT128
346:
347: /*----------------------------------------------------------------------------
348: | Software IEC/IEEE quadruple-precision conversion routines.
349: *----------------------------------------------------------------------------*/
350: int float128_to_int32( float128 STATUS_PARAM );
351: int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
352: int64_t float128_to_int64( float128 STATUS_PARAM );
353: int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
354: float32 float128_to_float32( float128 STATUS_PARAM );
355: float64 float128_to_float64( float128 STATUS_PARAM );
356: #ifdef FLOATX80
357: floatx80 float128_to_floatx80( float128 STATUS_PARAM );
358: #endif
359:
360: /*----------------------------------------------------------------------------
361: | Software IEC/IEEE quadruple-precision operations.
362: *----------------------------------------------------------------------------*/
363: float128 float128_round_to_int( float128 STATUS_PARAM );
364: float128 float128_add( float128, float128 STATUS_PARAM );
365: float128 float128_sub( float128, float128 STATUS_PARAM );
366: float128 float128_mul( float128, float128 STATUS_PARAM );
367: float128 float128_div( float128, float128 STATUS_PARAM );
368: float128 float128_rem( float128, float128 STATUS_PARAM );
369: float128 float128_sqrt( float128 STATUS_PARAM );
370: char float128_eq( float128, float128 STATUS_PARAM );
371: char float128_le( float128, float128 STATUS_PARAM );
372: char float128_lt( float128, float128 STATUS_PARAM );
373: char float128_eq_signaling( float128, float128 STATUS_PARAM );
374: char float128_le_quiet( float128, float128 STATUS_PARAM );
375: char float128_lt_quiet( float128, float128 STATUS_PARAM );
376: char float128_is_signaling_nan( float128 );
377:
378: INLINE float128 float128_abs(float128 a)
379: {
380: a.high &= 0x7fffffffffffffffLL;
381: return a;
382: }
383:
384: INLINE float128 float128_chs(float128 a)
385: {
386: a.high ^= 0x8000000000000000LL;
387: return a;
388: }
389:
390: #endif
391:
392: #else /* CONFIG_SOFTFLOAT */
393:
394: #include "softfloat-native.h"
395:
396: #endif /* !CONFIG_SOFTFLOAT */
397:
398: #endif /* !SOFTFLOAT_H */
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