1: /* math.h -- Definitions for the math floating point package.  */
   2: 
   3: #ifndef  _MATH_H_
   4: #define  _MATH_H_
   5: 
   6: #include <sys/reent.h>
   7: #include <machine/ieeefp.h>
   8: #include "_ansi.h"
   9: 
  10: _BEGIN_STD_C
  11: 
  12: #ifndef HUGE_VAL
  13: 
  14: /* Define HUGE_VAL as infinity, unless HUGE_VAL is already defined
  15:    (which might have been done by something like math-68881.h).  */
  16: 
  17: union __dmath
  18: {
  19:   __ULong i[2];
  20:   double d;
  21: };
  22: 
  23: /* Declare this as an array without bounds so that no matter what small data
  24:    support a port and/or library has, this reference will be via the general
  25:    method for accessing globals. */
  26: extern __IMPORT const union __dmath __infinity[];
  27: 
  28: #define HUGE_VAL (__infinity[0].d)
  29: 
  30: #endif /* ! defined (HUGE_VAL) */
  31: 
  32: /* Reentrant ANSI C functions.  */
  33: 
  34: #ifndef __math_68881
  35: extern double atan _PARAMS((double));
  36: extern double cos _PARAMS((double));
  37: extern double sin _PARAMS((double));
  38: extern double tan _PARAMS((double));
  39: extern double tanh _PARAMS((double));
  40: extern double frexp _PARAMS((double, int *));
  41: extern double modf _PARAMS((double, double *));
  42: extern double ceil _PARAMS((double));
  43: extern double fabs _PARAMS((double));
  44: extern double floor _PARAMS((double));
  45: #endif /* ! defined (__math_68881) */
  46: 
  47: /* Non reentrant ANSI C functions.  */
  48: 
  49: #ifndef _REENT_ONLY
  50: #ifndef __math_6881
  51: extern double acos _PARAMS((double));
  52: extern double asin _PARAMS((double));
  53: extern double atan2 _PARAMS((double, double));
  54: extern double cosh _PARAMS((double));
  55: extern double sinh _PARAMS((double));
  56: extern double exp _PARAMS((double));
  57: extern double ldexp _PARAMS((double, int));
  58: extern double log _PARAMS((double));
  59: extern double log10 _PARAMS((double));
  60: extern double pow _PARAMS((double, double));
  61: extern double sqrt _PARAMS((double));
  62: extern double fmod _PARAMS((double, double));
  63: #endif /* ! defined (__math_68881) */
  64: #endif /* ! defined (_REENT_ONLY) */
  65: 
  66: #ifndef __STRICT_ANSI__
  67: 
  68: /* ISO C99 types and macros. */
  69: 
  70: #ifndef FLT_EVAL_METHOD
  71: #define FLT_EVAL_METHOD 0
  72: typedef float float_t;
  73: typedef double double_t;
  74: #endif /* FLT_EVAL_METHOD */
  75: 
  76: #define FP_NAN         0
  77: #define FP_INFINITE    1
  78: #define FP_ZERO        2
  79: #define FP_SUBNORMAL   3
  80: #define FP_NORMAL      4
  81: 
  82: extern int __fpclassifyf (float x);
  83: extern int __fpclassifyd (double x);
  84: extern int __signbitf (float x);
  85: extern int __signbitd (double x);
  86: 
  87: #define fpclassify(x) \
  88:           (__extension__ ({__typeof__(x) __x = (x); \
  89:                            (sizeof (__x) == sizeof (float))  ? __fpclassifyf(__x) : __fpclassifyd(__x);}))
  90: 
  91: #define isfinite(x) \
  92:           (__extension__ ({__typeof__(x) __x = (x); \
  93:                            fpclassify(__x) != FP_INFINITE && fpclassify(__x) != FP_NAN;}))
  94: #define isnormal(x) \
  95:           (__extension__ ({__typeof__(x) __x = (x); \
  96:                            fpclassify(__x) == FP_NORMAL;}))
  97: #define signbit(x) \
  98:           (__extension__ ({__typeof__(x) __x = (x); \
  99:                            (sizeof(__x) == sizeof(float)) ? __signbitf(__x) : __signbitd(__x);}))
 100: 
 101: #define isgreater(x,y) \
 102:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 103:                            !isunordered(__x,__y) && (__x > __y);}))
 104: #define isgreaterequal(x,y) \
 105:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 106:                            !isunordered(__x,__y) && (__x >= __y);}))
 107: #define isless(x,y) \
 108:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 109:                            !isunordered(__x,__y) && (__x < __y);}))
 110: #define islessequal(x,y) \
 111:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 112:                            !isunordered(__x,__y) && (__x <= __y);}))
 113: #define islessgreater(x,y) \
 114:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 115:                            !isunordered(__x,__y) && (__x < __y || __x > __y);}))
 116: 
 117: #define isunordered(x,y) \
 118:           (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
 119:                            fpclassify(__x) == FP_NAN || fpclassify(__y) == FP_NAN;}))
 120: 
 121: /* Non ANSI double precision functions.  */
 122: 
 123: extern double infinity _PARAMS((void));
 124: extern double nan _PARAMS((const char *));
 125: extern int isnan _PARAMS((double));
 126: extern int isinf _PARAMS((double));
 127: extern int finite _PARAMS((double));
 128: extern double copysign _PARAMS((double, double));
 129: extern int ilogb _PARAMS((double));
 130: 
 131: extern double asinh _PARAMS((double));
 132: extern double cbrt _PARAMS((double));
 133: extern double nextafter _PARAMS((double, double));
 134: extern double rint _PARAMS((double));
 135: extern double scalbn _PARAMS((double, int));
 136: 
 137: extern double exp2 _PARAMS((double));
 138: extern double scalbln _PARAMS((double, long int));
 139: extern double tgamma _PARAMS((double));
 140: extern double nearbyint _PARAMS((double));
 141: extern long int lrint _PARAMS((double));
 142: extern double round _PARAMS((double));
 143: extern long int lround _PARAMS((double));
 144: extern double trunc _PARAMS((double));
 145: extern double remquo _PARAMS((double, double, int *));
 146: extern double copysign _PARAMS((double, double));
 147: extern double fdim _PARAMS((double, double));
 148: extern double fmax _PARAMS((double, double));
 149: extern double fmin _PARAMS((double, double));
 150: extern double fma _PARAMS((double, double, double));
 151: extern void sincos _PARAMS((double, double *, double *));
 152: 
 153: #ifndef __math_68881
 154: extern double log1p _PARAMS((double));
 155: extern double expm1 _PARAMS((double));
 156: #endif /* ! defined (__math_68881) */
 157: 
 158: #ifndef _REENT_ONLY
 159: extern double acosh _PARAMS((double));
 160: extern double atanh _PARAMS((double));
 161: extern double remainder _PARAMS((double, double));
 162: extern double gamma _PARAMS((double));
 163: extern double gamma_r _PARAMS((double, int *));
 164: extern double lgamma _PARAMS((double));
 165: extern double lgamma_r _PARAMS((double, int *));
 166: extern double erf _PARAMS((double));
 167: extern double erfc _PARAMS((double));
 168: extern double y0 _PARAMS((double));
 169: extern double y1 _PARAMS((double));
 170: extern double yn _PARAMS((int, double));
 171: extern double j0 _PARAMS((double));
 172: extern double j1 _PARAMS((double));
 173: extern double jn _PARAMS((int, double));
 174: #define log2(x) (log (x) / M_LOG2_E)
 175: 
 176: #ifndef __math_68881
 177: extern double hypot _PARAMS((double, double));
 178: #endif
 179: 
 180: extern double cabs();
 181: extern double drem _PARAMS((double, double));
 182: 
 183: #endif /* ! defined (_REENT_ONLY) */
 184: 
 185: #endif /* ! defined (__STRICT_ANSI__) */
 186: 
 187: #if !defined(__STRICT_ANSI__) || defined(__cplusplus)
 188: 
 189: /* Single precision versions of ANSI functions.  */
 190: 
 191: extern float atanf _PARAMS((float));
 192: extern float cosf _PARAMS((float));
 193: extern float sinf _PARAMS((float));
 194: extern float tanf _PARAMS((float));
 195: extern float tanhf _PARAMS((float));
 196: extern float frexpf _PARAMS((float, int *));
 197: extern float modff _PARAMS((float, float *));
 198: extern float ceilf _PARAMS((float));
 199: extern float fabsf _PARAMS((float));
 200: extern float floorf _PARAMS((float));
 201: 
 202: #ifndef _REENT_ONLY
 203: extern float acosf _PARAMS((float));
 204: extern float asinf _PARAMS((float));
 205: extern float atan2f _PARAMS((float, float));
 206: extern float coshf _PARAMS((float));
 207: extern float sinhf _PARAMS((float));
 208: extern float expf _PARAMS((float));
 209: extern float ldexpf _PARAMS((float, int));
 210: extern float logf _PARAMS((float));
 211: extern float log10f _PARAMS((float));
 212: extern float powf _PARAMS((float, float));
 213: extern float sqrtf _PARAMS((float));
 214: extern float fmodf _PARAMS((float, float));
 215: #endif /* ! defined (_REENT_ONLY) */
 216: 
 217: #endif /* !defined(__STRICT_ANSI__) || defined(__cplusplus) */
 218: 
 219: #ifndef __STRICT_ANSI__
 220: 
 221: /* Other single precision functions.  */
 222: 
 223: extern float exp2f _PARAMS((float));
 224: extern float scalblnf _PARAMS((float, long int));
 225: extern float tgammaf _PARAMS((float));
 226: extern float nearbyintf _PARAMS((float));
 227: extern long int lrintf _PARAMS((float));
 228: extern float roundf _PARAMS((float));
 229: extern long int lroundf _PARAMS((float));
 230: extern float truncf _PARAMS((float));
 231: extern float remquof _PARAMS((float, float, int *));
 232: extern float copysignf _PARAMS((float, float));
 233: extern float fdimf _PARAMS((float, float));
 234: extern float fmaxf _PARAMS((float, float));
 235: extern float fminf _PARAMS((float, float));
 236: extern float fmaf _PARAMS((float, float, float));
 237: 
 238: extern float infinityf _PARAMS((void));
 239: extern float nanf _PARAMS((const char *));
 240: extern int isnanf _PARAMS((float));
 241: extern int isinff _PARAMS((float));
 242: extern int finitef _PARAMS((float));
 243: extern float copysignf _PARAMS((float, float));
 244: extern int ilogbf _PARAMS((float));
 245: 
 246: extern float asinhf _PARAMS((float));
 247: extern float cbrtf _PARAMS((float));
 248: extern float nextafterf _PARAMS((float, float));
 249: extern float rintf _PARAMS((float));
 250: extern float scalbnf _PARAMS((float, int));
 251: extern float log1pf _PARAMS((float));
 252: extern float expm1f _PARAMS((float));
 253: extern void sincosf _PARAMS((float, float *, float *));
 254: 
 255: #ifndef _REENT_ONLY
 256: extern float acoshf _PARAMS((float));
 257: extern float atanhf _PARAMS((float));
 258: extern float remainderf _PARAMS((float, float));
 259: extern float gammaf _PARAMS((float));
 260: extern float gammaf_r _PARAMS((float, int *));
 261: extern float lgammaf _PARAMS((float));
 262: extern float lgammaf_r _PARAMS((float, int *));
 263: extern float erff _PARAMS((float));
 264: extern float erfcf _PARAMS((float));
 265: extern float y0f _PARAMS((float));
 266: extern float y1f _PARAMS((float));
 267: extern float ynf _PARAMS((int, float));
 268: extern float j0f _PARAMS((float));
 269: extern float j1f _PARAMS((float));
 270: extern float jnf _PARAMS((int, float));
 271: #define log2f(x) (logf (x) / (float) M_LOG2_E)
 272: extern float hypotf _PARAMS((float, float));
 273: 
 274: extern float cabsf();
 275: extern float dremf _PARAMS((float, float));
 276: 
 277: #endif /* ! defined (_REENT_ONLY) */
 278: 
 279: /* The gamma functions use a global variable, signgam.  */
 280: #ifndef _REENT_ONLY
 281: #define signgam (*__signgam())
 282: extern int *__signgam _PARAMS((void));
 283: #endif /* ! defined (_REENT_ONLY) */
 284: 
 285: #define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
 286: 
 287: /* The exception structure passed to the matherr routine.  */
 288: 
 289: #ifdef __cplusplus
 290: struct __exception 
 291: #else
 292: struct exception 
 293: #endif
 294: {
 295:   int type;
 296:   char *name;
 297:   double arg1;
 298:   double arg2;
 299:   double retval;
 300:   int err;
 301: };
 302: 
 303: #ifdef __cplusplus
 304: extern int matherr _PARAMS((struct __exception *e));
 305: #else
 306: extern int matherr _PARAMS((struct exception *e));
 307: #endif
 308: 
 309: /* Values for the type field of struct exception.  */
 310: 
 311: #define DOMAIN 1
 312: #define SING 2
 313: #define OVERFLOW 3
 314: #define UNDERFLOW 4
 315: #define TLOSS 5
 316: #define PLOSS 6
 317: 
 318: /* Useful constants.  */
 319: 
 320: #define MAXFLOAT  3.40282347e+38F
 321: 
 322: #define M_E   2.7182818284590452354
 323: #define M_LOG2E   1.4426950408889634074
 324: #define M_LOG10E  0.43429448190325182765
 325: #define M_LN2   0.69314718055994530942
 326: #define M_LN10    2.30258509299404568402
 327: #define M_PI    3.14159265358979323846
 328: #define M_TWOPI         (M_PI * 2.0)
 329: #define M_PI_2    1.57079632679489661923
 330: #define M_PI_4    0.78539816339744830962
 331: #define M_3PI_4   2.3561944901923448370E0
 332: #define M_SQRTPI        1.77245385090551602792981
 333: #define M_1_PI    0.31830988618379067154
 334: #define M_2_PI    0.63661977236758134308
 335: #define M_2_SQRTPI  1.12837916709551257390
 336: #define M_SQRT2   1.41421356237309504880
 337: #define M_SQRT1_2 0.70710678118654752440
 338: #define M_LN2LO         1.9082149292705877000E-10
 339: #define M_LN2HI         6.9314718036912381649E-1
 340: #define M_SQRT3     1.73205080756887719000
 341: #define M_IVLN10        0.43429448190325182765 /* 1 / log(10) */
 342: #define M_LOG2_E        0.693147180559945309417
 343: #define M_INVLN2        1.4426950408889633870E0  /* 1 / log(2) */
 344: 
 345: /* Global control over fdlibm error handling.  */
 346: 
 347: enum __fdlibm_version
 348: {
 349:   __fdlibm_ieee = -1,
 350:   __fdlibm_svid,
 351:   __fdlibm_xopen,
 352:   __fdlibm_posix
 353: };
 354: 
 355: #define _LIB_VERSION_TYPE enum __fdlibm_version
 356: #define _LIB_VERSION __fdlib_version
 357: 
 358: extern __IMPORT _CONST _LIB_VERSION_TYPE _LIB_VERSION;
 359: 
 360: #define _IEEE_  __fdlibm_ieee
 361: #define _SVID_  __fdlibm_svid
 362: #define _XOPEN_ __fdlibm_xopen
 363: #define _POSIX_ __fdlibm_posix
 364: 
 365: #endif /* ! defined (__STRICT_ANSI__) */
 366: 
 367: _END_STD_C
 368: 
 369: #ifdef __FAST_MATH__
 370: #include <machine/fastmath.h>
 371: #endif
 372: 
 373: #endif /* _MATH_H_ */
 374: