rtai_math.h
1 /* 2 * Declarations for math functions. 3 * Copyright (C) 1991,92,93,95,96,97,98,99,2001 Free Software Foundation, Inc. 4 * This file is part of the GNU C Library. 5 * 6 * The GNU C Library is free software; you can redistribute it and/or 7 * modify it under the terms of the GNU Lesser General Public 8 * License as published by the Free Software Foundation; either 9 * version 2.1 of the License, or (at your option) any later version. 10 * 11 * The GNU C Library is distributed in the hope that it will be useful, 12 * but WITHOUT ANY WARRANTY; without even the implied warranty of 13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 14 * Lesser General Public License for more details. 15 * 16 * You should have received a copy of the GNU Lesser General Public 17 * License along with the GNU C Library; if not, write to the Free 18 * Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 19 * 02111-1307 USA. 20 */ 21 22 /* 23 * ISO C99 Standard: 7.12 Mathematics <math.h> 24 */ 25 26 #ifndef _RTAI_MATH_H 27 #define _RTAI_MATH_H 1 28 #define _MATH_H 1 29 30 #include <rtai_types.h> 31 #ifdef __attribute_pure__ 32 #undef __attribute_pure__ 33 #endif 34 #ifdef __attribute_used__ 35 #undef __attribute_used__ 36 #endif 37 #include <features.h> 38 39 __BEGIN_DECLS 40 41 /* Get machine-dependent HUGE_VAL value (returned on overflow). 42 On all IEEE754 machines, this is +Infinity. */ 43 #include <bits/huge_val.h> 44 45 /* Get machine-dependent NAN value (returned for some domain errors). */ 46 #ifdef __USE_ISOC99 47 # include <bits/nan.h> 48 #endif 49 /* Get general and ISO C99 specific information. */ 50 #include <bits/mathdef.h> 51 52 53 /* The file <bits/mathcalls.h> contains the prototypes for all the 54 actual math functions. These macros are used for those prototypes, 55 so we can easily declare each function as both `name' and `__name', 56 and can declare the float versions `namef' and `__namef'. */ 57 58 #define __MATHCALL(function,suffix, args) \ 59 __MATHDECL (_Mdouble_,function,suffix, args) 60 #define __MATHDECL(type, function,suffix, args) \ 61 __MATHDECL_1(type, function,suffix, args); \ 62 __MATHDECL_1(type, __CONCAT(__,function),suffix, args) 63 #define __MATHCALLX(function,suffix, args, attrib) \ 64 __MATHDECLX (_Mdouble_,function,suffix, args, attrib) 65 #define __MATHDECLX(type, function,suffix, args, attrib) \ 66 __MATHDECL_1(type, function,suffix, args) __attribute__ (attrib); \ 67 __MATHDECL_1(type, __CONCAT(__,function),suffix, args) __attribute__ (attrib) 68 #define __MATHDECL_1(type, function,suffix, args) \ 69 extern type __MATH_PRECNAME(function,suffix) args __THROW 70 71 #define _Mdouble_ double 72 #define __MATH_PRECNAME(name,r) __CONCAT(name,r) 73 // added for gcc-3.2 74 #define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_STD 75 #define _Mdouble_END_NAMESPACE __END_NAMESPACE_STD 76 // end added for gcc-3.2 77 #include <bits/mathcalls.h> 78 #undef _Mdouble_ 79 // added for gcc-3.2 80 #undef _Mdouble_BEGIN_NAMESPACE 81 #undef _Mdouble_END_NAMESPACE 82 // end added for gcc-3.2 83 #undef __MATH_PRECNAME 84 85 #if defined __USE_MISC || defined __USE_ISOC99 86 87 88 /* Include the file of declarations again, this time using `float' 89 instead of `double' and appending f to each function name. */ 90 91 # ifndef _Mfloat_ 92 # define _Mfloat_ float 93 # endif 94 # define _Mdouble_ _Mfloat_ 95 # ifdef __STDC__ 96 # define __MATH_PRECNAME(name,r) name##f##r 97 # else 98 # define __MATH_PRECNAME(name,r) name/**/f/**/r 99 # endif 100 // added for gcc-3.2 101 #define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99 102 #define _Mdouble_END_NAMESPACE __END_NAMESPACE_C99 103 // end added for gcc-3.2 104 # include <bits/mathcalls.h> 105 # undef _Mdouble_ 106 // added for gcc-3.2 107 # undef _Mdouble_BEGIN_NAMESPACE 108 # undef _Mdouble_END_NAMESPACE 109 // end added for gcc-3.2 110 # undef __MATH_PRECNAME 111 112 # if (__STDC__ - 0 || __GNUC__ - 0) && !defined __NO_LONG_DOUBLE_MATH 113 /* Include the file of declarations again, this time using `long double' 114 instead of `double' and appending l to each function name. */ 115 116 # ifndef _Mlong_double_ 117 # define _Mlong_double_ long double 118 # endif 119 # define _Mdouble_ _Mlong_double_ 120 # ifdef __STDC__ 121 # define __MATH_PRECNAME(name,r) name##l##r 122 # else 123 # define __MATH_PRECNAME(name,r) name/**/l/**/r 124 # endif 125 // added for gcc-3.2 126 #define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99 127 #define _Mdouble_END_NAMESPACE __END_NAMESPACE_C99 128 // end added for gcc-3.2 129 # include <bits/mathcalls.h> 130 # undef _Mdouble_ 131 // added for gcc-3.2 132 # undef _Mdouble_BEGIN_NAMESPACE 133 # undef _Mdouble_END_NAMESPACE 134 // end added for gcc-3.2 135 # undef __MATH_PRECNAME 136 137 # endif /* __STDC__ || __GNUC__ */ 138 139 #endif /* Use misc or ISO C99. */ 140 #undef __MATHDECL_1 141 #undef __MATHDECL 142 #undef __MATHCALL 143 144 145 #if defined __USE_MISC || defined __USE_XOPEN 146 /* This variable is used by `gamma' and `lgamma'. */ 147 extern int signgam; 148 #endif 149 150 151 /* ISO C99 defines some generic macros which work on any data type. */ 152 #if defined(__USE_ISOC99) && __USE_ISOC99 153 154 /* Get the architecture specific values describing the floating-point 155 evaluation. The following symbols will get defined: 156 157 float_t floating-point type at least as wide as `float' used 158 to evaluate `float' expressions 159 double_t floating-point type at least as wide as `double' used 160 to evaluate `double' expressions 161 162 FLT_EVAL_METHOD 163 Defined to 164 0 if `float_t' is `float' and `double_t' is `double' 165 1 if `float_t' and `double_t' are `double' 166 2 if `float_t' and `double_t' are `long double' 167 else `float_t' and `double_t' are unspecified 168 169 INFINITY representation of the infinity value of type `float' 170 171 FP_FAST_FMA 172 FP_FAST_FMAF 173 FP_FAST_FMAL 174 If defined it indicates that the `fma' function 175 generally executes about as fast as a multiply and an add. 176 This macro is defined only iff the `fma' function is 177 implemented directly with a hardware multiply-add instructions. 178 179 FP_ILOGB0 Expands to a value returned by `ilogb (0.0)'. 180 FP_ILOGBNAN Expands to a value returned by `ilogb (NAN)'. 181 182 DECIMAL_DIG Number of decimal digits supported by conversion between 183 decimal and all internal floating-point formats. 184 185 */ 186 187 /* All floating-point numbers can be put in one of these categories. */ 188 enum 189 { 190 FP_NAN, 191 # define FP_NAN FP_NAN 192 FP_INFINITE, 193 # define FP_INFINITE FP_INFINITE 194 FP_ZERO, 195 # define FP_ZERO FP_ZERO 196 FP_SUBNORMAL, 197 # define FP_SUBNORMAL FP_SUBNORMAL 198 FP_NORMAL 199 # define FP_NORMAL FP_NORMAL 200 }; 201 202 /* Return number of classification appropriate for X. */ 203 # ifdef __NO_LONG_DOUBLE_MATH 204 # define fpclassify(x) \ 205 (sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassify (x)) 206 # else 207 # define fpclassify(x) \ 208 (sizeof (x) == sizeof (float) \ 209 ? __fpclassifyf (x) \ 210 : sizeof (x) == sizeof (double) \ 211 ? __fpclassify (x) : __fpclassifyl (x)) 212 # endif 213 214 /* Return nonzero value if sign of X is negative. */ 215 # ifdef __NO_LONG_DOUBLE_MATH 216 # define signbit(x) \ 217 (sizeof (x) == sizeof (float) ? __signbitf (x) : __signbit (x)) 218 # else 219 # define signbit(x) \ 220 (sizeof (x) == sizeof (float) \ 221 ? __signbitf (x) \ 222 : sizeof (x) == sizeof (double) \ 223 ? __signbit (x) : __signbitl (x)) 224 # endif 225 226 /* Return nonzero value if X is not +-Inf or NaN. */ 227 # ifdef __NO_LONG_DOUBLE_MATH 228 # define isfinite(x) \ 229 (sizeof (x) == sizeof (float) ? __finitef (x) : __finite (x)) 230 # else 231 # define isfinite(x) \ 232 (sizeof (x) == sizeof (float) \ 233 ? __finitef (x) \ 234 : sizeof (x) == sizeof (double) \ 235 ? __finite (x) : __finitel (x)) 236 # endif 237 238 /* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */ 239 # define isnormal(x) (fpclassify (x) == FP_NORMAL) 240 241 /* Return nonzero value if X is a NaN. We could use `fpclassify' but 242 we already have this functions `__isnan' and it is faster. */ 243 # ifdef __NO_LONG_DOUBLE_MATH 244 # define isnan(x) \ 245 (sizeof (x) == sizeof (float) ? __isnanf (x) : __isnan (x)) 246 # else 247 # define isnan(x) \ 248 (sizeof (x) == sizeof (float) \ 249 ? __isnanf (x) \ 250 : sizeof (x) == sizeof (double) \ 251 ? __isnan (x) : __isnanl (x)) 252 # endif 253 254 /* Return nonzero value is X is positive or negative infinity. */ 255 # ifdef __NO_LONG_DOUBLE_MATH 256 # define isinf(x) \ 257 (sizeof (x) == sizeof (float) ? __isinff (x) : __isinf (x)) 258 # else 259 # define isinf(x) \ 260 (sizeof (x) == sizeof (float) \ 261 ? __isinff (x) \ 262 : sizeof (x) == sizeof (double) \ 263 ? __isinf (x) : __isinfl (x)) 264 # endif 265 266 /* Bitmasks for the math_errhandling macro. */ 267 # define MATH_ERRNO 1 /* errno set by math functions. */ 268 # define MATH_ERREXCEPT 2 /* Exceptions raised by math functions. */ 269 270 #endif /* Use ISO C99. */ 271 272 #ifdef __USE_MISC 273 /* Support for various different standard error handling behaviors. */ 274 typedef enum 275 { 276 _IEEE_ = -1, /* According to IEEE 754/IEEE 854. */ 277 _SVID_, /* According to System V, release 4. */ 278 _XOPEN_, /* Nowadays also Unix98. */ 279 _POSIX_, 280 _ISOC_ /* Actually this is ISO C99. */ 281 } _LIB_VERSION_TYPE; 282 283 /* This variable can be changed at run-time to any of the values above to 284 affect floating point error handling behavior (it may also be necessary 285 to change the hardware FPU exception settings). */ 286 extern _LIB_VERSION_TYPE _LIB_VERSION; 287 #endif 288 289 290 #ifdef __USE_SVID 291 /* In SVID error handling, `matherr' is called with this description 292 of the exceptional condition. 293 294 We have a problem when using C++ since `exception' is a reserved 295 name in C++. */ 296 # ifdef __cplusplus 297 struct __exception 298 # else 299 struct exception 300 # endif 301 { 302 int type; 303 char *name; 304 double arg1; 305 double arg2; 306 double retval; 307 }; 308 309 # ifdef __cplusplus 310 extern int matherr (struct __exception *__exc) throw (); 311 # else 312 extern int matherr (struct exception *__exc); 313 # endif 314 315 # define X_TLOSS 1.41484755040568800000e+16 316 317 /* Types of exceptions in the `type' field. */ 318 # define DOMAIN 1 319 # define SING 2 320 # define OVERFLOW 3 321 # define UNDERFLOW 4 322 # define TLOSS 5 323 # define PLOSS 6 324 325 /* SVID mode specifies returning this large value instead of infinity. */ 326 # define HUGE 3.40282347e+38F 327 328 #else /* !SVID */ 329 330 # ifdef __USE_XOPEN 331 /* X/Open wants another strange constant. */ 332 # define MAXFLOAT 3.40282347e+38F 333 # endif 334 335 #endif /* SVID */ 336 337 338 /* Some useful constants. */ 339 #if defined __USE_BSD || defined __USE_XOPEN 340 # define M_E 2.7182818284590452354 /* e */ 341 # define M_LOG2E 1.4426950408889634074 /* log_2 e */ 342 # define M_LOG10E 0.43429448190325182765 /* log_10 e */ 343 # define M_LN2 0.69314718055994530942 /* log_e 2 */ 344 # define M_LN10 2.30258509299404568402 /* log_e 10 */ 345 # define M_PI 3.14159265358979323846 /* pi */ 346 # define M_PI_2 1.57079632679489661923 /* pi/2 */ 347 # define M_PI_4 0.78539816339744830962 /* pi/4 */ 348 # define M_1_PI 0.31830988618379067154 /* 1/pi */ 349 # define M_2_PI 0.63661977236758134308 /* 2/pi */ 350 # define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 351 # define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 352 # define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 353 #endif 354 355 /* The above constants are not adequate for computation using `long double's. 356 Therefore we provide as an extension constants with similar names as a 357 GNU extension. Provide enough digits for the 128-bit IEEE quad. */ 358 #ifdef __USE_GNU 359 # define M_El 2.7182818284590452353602874713526625L /* e */ 360 # define M_LOG2El 1.4426950408889634073599246810018922L /* log_2 e */ 361 # define M_LOG10El 0.4342944819032518276511289189166051L /* log_10 e */ 362 # define M_LN2l 0.6931471805599453094172321214581766L /* log_e 2 */ 363 # define M_LN10l 2.3025850929940456840179914546843642L /* log_e 10 */ 364 # define M_PIl 3.1415926535897932384626433832795029L /* pi */ 365 # define M_PI_2l 1.5707963267948966192313216916397514L /* pi/2 */ 366 # define M_PI_4l 0.7853981633974483096156608458198757L /* pi/4 */ 367 # define M_1_PIl 0.3183098861837906715377675267450287L /* 1/pi */ 368 # define M_2_PIl 0.6366197723675813430755350534900574L /* 2/pi */ 369 # define M_2_SQRTPIl 1.1283791670955125738961589031215452L /* 2/sqrt(pi) */ 370 # define M_SQRT2l 1.4142135623730950488016887242096981L /* sqrt(2) */ 371 # define M_SQRT1_2l 0.7071067811865475244008443621048490L /* 1/sqrt(2) */ 372 #endif 373 374 375 /* When compiling in strict ISO C compatible mode we must not use the 376 inline functions since they, among other things, do not set the 377 `errno' variable correctly. */ 378 #if defined __STRICT_ANSI__ && !defined __NO_MATH_INLINES 379 # define __NO_MATH_INLINES 1 380 #endif 381 382 /* Get machine-dependent inline versions (if there are any). */ 383 #ifdef __USE_EXTERN_INLINES 384 # include <bits/mathinline.h> 385 #endif 386 387 388 #if defined(__USE_ISOC99) && __USE_ISOC99 389 /* ISO C99 defines some macros to compare number while taking care 390 for unordered numbers. Since many FPUs provide special 391 instructions to support these operations and these tests are 392 defined in <bits/mathinline.h>, we define the generic macros at 393 this late point and only if they are not defined yet. */ 394 395 /* Return nonzero value if X is greater than Y. */ 396 # ifndef isgreater 397 # define isgreater(x, y) \ 398 (__extension__ \ 399 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \ 400 !isunordered (__x, __y) && __x > __y; })) 401 # endif 402 403 /* Return nonzero value if X is greater than or equal to Y. */ 404 # ifndef isgreaterequal 405 # define isgreaterequal(x, y) \ 406 (__extension__ \ 407 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \ 408 !isunordered (__x, __y) && __x >= __y; })) 409 # endif 410 411 /* Return nonzero value if X is less than Y. */ 412 # ifndef isless 413 # define isless(x, y) \ 414 (__extension__ \ 415 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \ 416 !isunordered (__x, __y) && __x < __y; })) 417 # endif 418 419 /* Return nonzero value if X is less than or equal to Y. */ 420 # ifndef islessequal 421 # define islessequal(x, y) \ 422 (__extension__ \ 423 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \ 424 !isunordered (__x, __y) && __x <= __y; })) 425 # endif 426 427 /* Return nonzero value if either X is less than Y or Y is less than X. */ 428 # ifndef islessgreater 429 # define islessgreater(x, y) \ 430 (__extension__ \ 431 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \ 432 !isunordered (__x, __y) && (__x < __y || __y < __x); })) 433 # endif 434 435 /* Return nonzero value if arguments are unordered. */ 436 # ifndef isunordered 437 # define isunordered(u, v) \ 438 (__extension__ \ 439 ({ __typeof__(u) __u = (u); __typeof__(v) __v = (v); \ 440 fpclassify (__u) == FP_NAN || fpclassify (__v) == FP_NAN; })) 441 # endif 442 443 #endif 444 445 __END_DECLS 446 447 /* Missing declarations */ 448 449 struct complex { 450 double x; 451 double y; 452 }; 453 454 double cabs __P((struct complex)); 455 456 double gamma_r(double x, int *signgamp); /* wrapper lgamma_r */ 457 458 long int rinttol(double x); 459 460 long int roundtol(double x); 461 462 #endif /* !_RTAI_MATH_H */