1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
|
/* Definitions of inline math functions implemented by the m68881/2.
Copyright (C) 1991-2017 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library. If not, see
<http://www.gnu.org/licenses/>. */
#ifndef _MATH_H
# error "Never use <bits/mathinline.h> directly; include <math.h> instead."
#endif
#ifndef __extern_inline
# define __MATH_INLINE __inline
#else
# define __MATH_INLINE __extern_inline
#endif
#ifdef __GNUC__
#ifdef __USE_ISOC99
/* GCC 3.1 and up have builtins that actually can be used. */
# if !__GNUC_PREREQ (3,1)
/* ISO C99 defines some macros to perform unordered comparisons. The
m68k FPU supports this with special opcodes and we should use them.
These must not be inline functions since we have to be able to handle
all floating-point types. */
# undef isgreater
# undef isgreaterequal
# undef isless
# undef islessequal
# undef islessgreater
# undef isunordered
# define isgreater(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsogt %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# define isgreaterequal(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsoge %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# define isless(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsolt %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# define islessequal(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsole %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# define islessgreater(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsogl %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# define isunordered(x, y) \
__extension__ \
({ char __result; \
__asm__ ("fcmp%.x %2,%1; fsun %0" \
: "=dm" (__result) : "f" (x), "f" (y)); \
__result != 0; })
# endif /* GCC 3.1 */
/* Test for negative number. Used in the signbit() macro. */
__MATH_INLINE int
__NTH (__signbitf (float __x))
{
__extension__ union { float __f; int __i; } __u = { __f: __x };
return __u.__i < 0;
}
__MATH_INLINE int
__NTH (__signbit (double __x))
{
__extension__ union { double __d; int __i[2]; } __u = { __d: __x };
return __u.__i[0] < 0;
}
__MATH_INLINE int
__NTH (__signbitl (long double __x))
{
__extension__ union { long double __d; int __i[3]; } __u = { __d: __x };
return __u.__i[0] < 0;
}
#endif
#if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
|| defined __LIBC_INTERNAL_MATH_INLINES
#ifdef __LIBC_INTERNAL_MATH_INLINES
/* This is used when defining the functions themselves. Define them with
__ names, and with `static inline' instead of `extern inline' so the
bodies will always be used, never an external function call. */
# define __m81_u(x) __CONCAT(__,x)
# define __m81_inline static __inline
#else
# define __m81_u(x) x
# define __m81_inline __MATH_INLINE
# define __M81_MATH_INLINES 1
#endif
/* Define a const math function. */
#define __m81_defun(rettype, func, args) \
__m81_inline rettype __attribute__((__const__)) \
__NTH (__m81_u(func) args)
/* Define the three variants of a math function that has a direct
implementation in the m68k fpu. FUNC is the name for C (which will be
suffixed with f and l for the float and long double version, resp). OP
is the name of the fpu operation (without leading f). */
#ifdef __USE_ISOC99
# define __inline_mathop(func, op) \
__inline_mathop1(double, func, op) \
__inline_mathop1(float, __CONCAT(func,f), op) \
__inline_mathop1(long double, __CONCAT(func,l), op)
#else
# define __inline_mathop(func, op) \
__inline_mathop1(double, func, op)
#endif
#define __inline_mathop1(float_type,func, op) \
__m81_defun (float_type, func, (float_type __mathop_x)) \
{ \
float_type __result; \
__asm __volatile__ ("f" __STRING(op) "%.x %1, %0" \
: "=f" (__result) : "f" (__mathop_x)); \
return __result; \
}
__inline_mathop(__atan, atan)
__inline_mathop(__cos, cos)
__inline_mathop(__sin, sin)
__inline_mathop(__tan, tan)
__inline_mathop(__tanh, tanh)
__inline_mathop(__fabs, abs)
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__inline_mathop(__rint, int)
__inline_mathop(__expm1, etoxm1)
__inline_mathop(__log1p, lognp1)
#endif
#ifdef __USE_MISC
__inline_mathop(__significand, getman)
#endif
#ifdef __USE_ISOC99
__inline_mathop(__trunc, intrz)
#endif
#if !defined __NO_MATH_INLINES && defined __OPTIMIZE__
__inline_mathop(atan, atan)
__inline_mathop(tanh, tanh)
# if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__inline_mathop(rint, int)
__inline_mathop(log1p, lognp1)
# endif
# ifdef __USE_MISC
__inline_mathop(significand, getman)
# endif
# ifdef __USE_ISOC99
__inline_mathop(trunc, intrz)
# endif
#endif /* !__NO_MATH_INLINES && __OPTIMIZE__ */
/* This macro contains the definition for the rest of the inline
functions, using FLOAT_TYPE as the domain type and S as the suffix
for the function names. */
#define __inline_functions(float_type, s) \
__m81_defun (float_type, __CONCAT(__floor,s), (float_type __x)) \
{ \
float_type __result; \
unsigned long int __ctrl_reg; \
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg)); \
/* Set rounding towards negative infinity. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" ((__ctrl_reg & ~0x10) | 0x20)); \
/* Convert X to an integer, using -Inf rounding. */ \
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x)); \
/* Restore the previous rounding mode. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg)); \
return __result; \
} \
\
__m81_defun (float_type, __CONCAT(__ceil,s), (float_type __x)) \
{ \
float_type __result; \
unsigned long int __ctrl_reg; \
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg)); \
/* Set rounding towards positive infinity. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg | 0x30)); \
/* Convert X to an integer, using +Inf rounding. */ \
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x)); \
/* Restore the previous rounding mode. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg)); \
return __result; \
}
__inline_functions(double,)
#ifdef __USE_ISOC99
__inline_functions(float,f)
__inline_functions(long double,l)
#endif
#undef __inline_functions
#ifdef __USE_MISC
# define __inline_functions(float_type, s) \
__m81_defun (int, __CONCAT(__isinf,s), (float_type __value)) \
{ \
/* There is no branch-condition for infinity, \
so we must extract and examine the condition codes manually. */ \
unsigned long int __fpsr; \
__asm ("ftst%.x %1\n" \
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value)); \
return (__fpsr & (2 << 24)) ? (__fpsr & (8 << 24) ? -1 : 1) : 0; \
} \
\
__m81_defun (int, __CONCAT(__finite,s), (float_type __value)) \
{ \
/* There is no branch-condition for infinity, so we must extract and \
examine the condition codes manually. */ \
unsigned long int __fpsr; \
__asm ("ftst%.x %1\n" \
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value)); \
return (__fpsr & (3 << 24)) == 0; \
} \
\
__m81_defun (float_type, __CONCAT(__scalbn,s), \
(float_type __x, int __n)) \
{ \
float_type __result; \
__asm __volatile__ ("fscale%.l %1, %0" : "=f" (__result) \
: "dmi" (__n), "0" (__x)); \
return __result; \
}
__inline_functions(double,)
__inline_functions(float,f)
__inline_functions(long double,l)
# undef __inline_functions
#endif /* Use misc. */
#if defined __USE_MISC || defined __USE_XOPEN
# define __inline_functions(float_type, s) \
__m81_defun (int, __CONCAT(__isnan,s), (float_type __value)) \
{ \
char __result; \
__asm ("ftst%.x %1\n" \
"fsun %0" : "=dm" (__result) : "f" (__value)); \
return __result; \
}
__inline_functions(double,)
# ifdef __USE_MISC
__inline_functions(float,f)
__inline_functions(long double,l)
# endif
# undef __inline_functions
#endif
#ifdef __USE_ISOC99
# define __inline_functions(float_type, s) \
__m81_defun (float_type, __CONCAT(__scalbln,s), \
(float_type __x, long int __n)) \
{ \
return __CONCAT(__scalbn,s) (__x, __n); \
} \
\
__m81_defun (float_type, __CONCAT(__nearbyint,s), (float_type __x)) \
{ \
float_type __result; \
unsigned long int __ctrl_reg; \
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg)); \
/* Temporarily disable the inexact exception. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg & ~0x200)); \
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x)); \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg)); \
return __result; \
} \
\
__m81_defun (long int, __CONCAT(__lrint,s), (float_type __x)) \
{ \
long int __result; \
__asm __volatile__ ("fmove%.l %1, %0" : "=dm" (__result) : "f" (__x)); \
return __result; \
}
__inline_functions (double,)
__inline_functions (float,f)
__inline_functions (long double,l)
# undef __inline_functions
#endif /* Use ISO C9x */
#ifdef __USE_GNU
# define __inline_functions(float_type, s) \
__m81_inline void \
__NTH (__m81_u(__CONCAT(__sincos,s))(float_type __x, float_type *__sinx, \
float_type *__cosx)) \
{ \
__asm __volatile__ ("fsincos%.x %2,%1:%0" \
: "=f" (*__sinx), "=f" (*__cosx) : "f" (__x)); \
}
__inline_functions (double,)
__inline_functions (float,f)
__inline_functions (long double,l)
# undef __inline_functions
#endif
#if !defined __NO_MATH_INLINES && defined __OPTIMIZE__
/* Define inline versions of the user visible functions. */
/* Note that there must be no whitespace before the argument passed for
NAME, to make token pasting work correctly with -traditional. */
# define __inline_forward_c(rettype, name, args1, args2) \
__MATH_INLINE rettype __attribute__((__const__)) \
__NTH (name args1) \
{ \
return __CONCAT(__,name) args2; \
}
# define __inline_forward(rettype, name, args1, args2) \
__MATH_INLINE rettype __NTH (name args1) \
{ \
return __CONCAT(__,name) args2; \
}
__inline_forward_c(double,floor, (double __x), (__x))
__inline_forward_c(double,ceil, (double __x), (__x))
# ifdef __USE_MISC
# ifndef __USE_ISOC99 /* Conflict with macro of same name. */
__inline_forward_c(int,isinf, (double __value), (__value))
# endif
__inline_forward_c(int,finite, (double __value), (__value))
__inline_forward_c(double,scalbn, (double __x, int __n), (__x, __n))
# endif
# if defined __USE_MISC || defined __USE_XOPEN
# ifndef __USE_ISOC99 /* Conflict with macro of same name. */
__inline_forward_c(int,isnan, (double __value), (__value))
# endif
# endif
# ifdef __USE_ISOC99
__inline_forward_c(double,scalbln, (double __x, long int __n), (__x, __n))
__inline_forward_c(double,nearbyint, (double __value), (__value))
__inline_forward_c(long int,lrint, (double __value), (__value))
# endif
# ifdef __USE_GNU
__inline_forward(void,sincos, (double __x, double *__sinx, double *__cosx),
(__x, __sinx, __cosx))
# endif
# ifdef __USE_ISOC99
__inline_forward_c(float,floorf, (float __x), (__x))
__inline_forward_c(float,ceilf, (float __x), (__x))
# ifdef __USE_MISC
__inline_forward_c(int,isinff, (float __value), (__value))
__inline_forward_c(int,finitef, (float __value), (__value))
__inline_forward_c(float,scalbnf, (float __x, int __n), (__x, __n))
__inline_forward_c(int,isnanf, (float __value), (__value))
# endif
# ifdef __USE_ISOC99
__inline_forward_c(float,scalblnf, (float __x, long int __n), (__x, __n))
__inline_forward_c(float,nearbyintf, (float __value), (__value))
__inline_forward_c(long int,lrintf, (float __value), (__value))
# endif
# ifdef __USE_GNU
__inline_forward(void,sincosf, (float __x, float *__sinx, float *__cosx),
(__x, __sinx, __cosx))
# endif
__inline_forward_c(long double,floorl, (long double __x), (__x))
__inline_forward_c(long double,ceill, (long double __x), (__x))
# ifdef __USE_MISC
__inline_forward_c(int,isinfl, (long double __value), (__value))
__inline_forward_c(int,finitel, (long double __value), (__value))
__inline_forward_c(long double,scalbnl, (long double __x, int __n), (__x, __n))
__inline_forward_c(int,isnanl, (long double __value), (__value))
# endif
# ifdef __USE_ISOC99
__inline_forward_c(long double,scalblnl, (long double __x, long int __n),
(__x, __n))
__inline_forward_c(long double,nearbyintl, (long double __value), (__value))
__inline_forward_c(long int,lrintl, (long double __value), (__value))
# endif
# ifdef __USE_GNU
__inline_forward(void,sincosl,
(long double __x, long double *__sinx, long double *__cosx),
(__x, __sinx, __cosx))
# endif
#endif /* Use misc or ISO C99 */
#undef __inline_forward
#undef __inline_forward_c
#endif /* !__NO_MATH_INLINES && __OPTIMIZE__ */
#endif
#endif /* GCC. */
|
