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Annotation of src/include/math.h, Revision 1.27

1.27    ! martynas    1: /*     $OpenBSD: math.h,v 1.26 2009/07/25 11:38:09 martynas Exp $      */
1.1       deraadt     2: /*
                      3:  * ====================================================
                      4:  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
                      5:  *
                      6:  * Developed at SunPro, a Sun Microsystems, Inc. business.
                      7:  * Permission to use, copy, modify, and distribute this
                      8:  * software is freely granted, provided that this notice
                      9:  * is preserved.
                     10:  * ====================================================
                     11:  */
                     12:
                     13: /*
1.3       millert    14:  * from: @(#)fdlibm.h 5.1 93/09/24
1.1       deraadt    15:  */
                     16:
                     17: #ifndef _MATH_H_
                     18: #define _MATH_H_
                     19:
1.17      martynas   20: #include <sys/_types.h>
1.11      millert    21: #include <sys/cdefs.h>
1.18      martynas   22: #include <sys/limits.h>
1.11      millert    23:
1.1       deraadt    24: /*
                     25:  * ANSI/POSIX
                     26:  */
                     27: extern char __infinity[];
1.27    ! martynas   28: #if __GNUC_PREREQ__(3, 3)
        !            29: #define HUGE_VAL       __builtin_huge_val()
        !            30: #else /* __GNUC_PREREQ__(3, 3) */
1.12      otto       31: #define HUGE_VAL       (*(double *)(void *)__infinity)
1.27    ! martynas   32: #endif /* __GNUC_PREREQ__(3, 3) */
1.9       espie      33:
1.18      martynas   34: /*
1.9       espie      35:  * C99
                     36:  */
1.18      martynas   37: #if __ISO_C_VISIBLE >= 1999
                     38: typedef        __double_t      double_t;
                     39: typedef        __float_t       float_t;
                     40:
1.27    ! martynas   41: #if __GNUC_PREREQ__(3, 3)
        !            42: #define        HUGE_VALF       __builtin_huge_valf()
        !            43: #define        HUGE_VALL       __builtin_huge_vall()
        !            44: #define        INFINITY        __builtin_inff()
        !            45: #define        NAN             __builtin_nanf("")
        !            46: #else /* __GNUC_PREREQ__(3, 3) */
1.23      martynas   47: #ifdef __vax__
1.24      martynas   48: extern char __infinityf[];
1.23      martynas   49: #define        HUGE_VALF       (*(float *)(void *)__infinityf)
                     50: #else /* __vax__ */
1.18      martynas   51: #define        HUGE_VALF       ((float)HUGE_VAL)
1.23      martynas   52: #endif /* __vax__ */
1.18      martynas   53: #define        HUGE_VALL       ((long double)HUGE_VAL)
                     54: #define        INFINITY        HUGE_VALF
1.19      martynas   55: #ifndef __vax__
                     56: extern char __nan[];
                     57: #define        NAN             (*(float *)(void *)__nan)
                     58: #endif /* !__vax__ */
1.27    ! martynas   59: #endif /* __GNUC_PREREQ__(3, 3) */
1.18      martynas   60:
                     61: #define        FP_INFINITE     0x01
                     62: #define        FP_NAN          0x02
                     63: #define        FP_NORMAL       0x04
                     64: #define        FP_SUBNORMAL    0x08
                     65: #define        FP_ZERO         0x10
                     66:
                     67: #define FP_ILOGB0      (-INT_MAX)
                     68: #define FP_ILOGBNAN    INT_MAX
                     69:
                     70: #define fpclassify(x) \
                     71:        ((sizeof (x) == sizeof (float)) ? \
                     72:                __fpclassifyf(x) \
                     73:        : (sizeof (x) == sizeof (double)) ? \
                     74:                __fpclassify(x) \
                     75:        :       __fpclassifyl(x))
                     76: #define isfinite(x) \
                     77:        ((sizeof (x) == sizeof (float)) ? \
                     78:                __isfinitef(x) \
                     79:        : (sizeof (x) == sizeof (double)) ? \
                     80:                __isfinite(x) \
                     81:        :       __isfinitel(x))
                     82: #define isnormal(x) \
                     83:        ((sizeof (x) == sizeof (float)) ? \
                     84:                __isnormalf(x) \
                     85:        : (sizeof (x) == sizeof (double)) ? \
                     86:                __isnormal(x) \
                     87:        :       __isnormall(x))
                     88: #define signbit(x) \
                     89:        ((sizeof (x) == sizeof (float)) ? \
                     90:                __signbitf(x) \
                     91:        : (sizeof (x) == sizeof (double)) ? \
                     92:                __signbit(x) \
                     93:        :       __signbitl(x))
                     94:
                     95: #define        isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
                     96: #define        isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
                     97: #define        isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
                     98: #define        islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
                     99: #define        islessgreater(x, y)     (!isunordered((x), (y)) && \
                    100:                                        ((x) > (y) || (y) > (x)))
                    101: #define        isunordered(x, y)       (isnan(x) || isnan(y))
                    102: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt   103:
1.21      martynas  104: #define isinf(x) \
                    105:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas  106:                __isinff(x) \
1.21      martynas  107:        : (sizeof (x) == sizeof (double)) ? \
                    108:                __isinf(x) \
                    109:        :       __isinfl(x))
                    110: #define isnan(x) \
                    111:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas  112:                __isnanf(x) \
1.21      martynas  113:        : (sizeof (x) == sizeof (double)) ? \
                    114:                __isnan(x) \
                    115:        :       __isnanl(x))
                    116:
1.1       deraadt   117: /*
                    118:  * XOPEN/SVID
                    119:  */
1.11      millert   120: #if __BSD_VISIBLE || __XPG_VISIBLE
1.1       deraadt   121: #define        M_E             2.7182818284590452354   /* e */
                    122: #define        M_LOG2E         1.4426950408889634074   /* log 2e */
                    123: #define        M_LOG10E        0.43429448190325182765  /* log 10e */
                    124: #define        M_LN2           0.69314718055994530942  /* log e2 */
                    125: #define        M_LN10          2.30258509299404568402  /* log e10 */
                    126: #define        M_PI            3.14159265358979323846  /* pi */
                    127: #define        M_PI_2          1.57079632679489661923  /* pi/2 */
                    128: #define        M_PI_4          0.78539816339744830962  /* pi/4 */
                    129: #define        M_1_PI          0.31830988618379067154  /* 1/pi */
                    130: #define        M_2_PI          0.63661977236758134308  /* 2/pi */
                    131: #define        M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
                    132: #define        M_SQRT2         1.41421356237309504880  /* sqrt(2) */
                    133: #define        M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
                    134:
1.7       jason     135: #ifdef __vax__
1.18      martynas  136: #define        MAXFLOAT        ((float)1.70141173319264430e+38)
1.7       jason     137: #else
1.1       deraadt   138: #define        MAXFLOAT        ((float)3.40282346638528860e+38)
1.18      martynas  139: #endif /* __vax__ */
1.7       jason     140:
1.1       deraadt   141: extern int signgam;
1.11      millert   142: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.1       deraadt   143:
1.11      millert   144: #if __BSD_VISIBLE
1.1       deraadt   145: #define        HUGE            MAXFLOAT
1.11      millert   146: #endif /* __BSD_VISIBLE */
1.1       deraadt   147:
                    148: __BEGIN_DECLS
                    149: /*
                    150:  * ANSI/POSIX
                    151:  */
1.25      martynas  152: double acos(double);
                    153: double asin(double);
                    154: double atan(double);
                    155: double atan2(double, double);
                    156: double cos(double);
                    157: double sin(double);
                    158: double tan(double);
                    159:
                    160: double cosh(double);
                    161: double sinh(double);
                    162: double tanh(double);
                    163:
                    164: double exp(double);
                    165: double frexp(double, int *);
                    166: double ldexp(double, int);
                    167: double log(double);
                    168: double log10(double);
                    169: double modf(double, double *);
                    170:
                    171: double pow(double, double);
                    172: double sqrt(double);
                    173:
                    174: double ceil(double);
                    175: double fabs(double);
                    176: double floor(double);
                    177: double fmod(double, double);
1.1       deraadt   178:
1.18      martynas  179: /*
                    180:  * C99
                    181:  */
                    182: #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
1.25      martynas  183: double acosh(double);
                    184: double asinh(double);
                    185: double atanh(double);
1.18      martynas  186:
1.25      martynas  187: double exp2(double);
                    188: double expm1(double);
                    189: int ilogb(double);
                    190: double log1p(double);
                    191: double log2(double);
                    192: double logb(double);
                    193: double scalbn(double, int);
                    194: double scalbln(double, long int);
1.18      martynas  195:
1.25      martynas  196: double cbrt(double);
                    197: double hypot(double, double);
1.18      martynas  198:
1.25      martynas  199: double erf(double);
                    200: double erfc(double);
                    201: double lgamma(double);
                    202: double tgamma(double);
1.18      martynas  203:
                    204: #if 0
1.25      martynas  205: double nearbyint(double);
1.18      martynas  206: #endif
1.25      martynas  207: double rint(double);
                    208: long int lrint(double);
                    209: long long int llrint(double);
                    210: double round(double);
                    211: long int lround(double);
                    212: long long int llround(double);
                    213: double trunc(double);
1.13      brad      214:
1.25      martynas  215: double remainder(double, double);
                    216: double remquo(double, double, int *);
1.18      martynas  217:
1.25      martynas  218: double copysign(double, double);
                    219: double nan(const char *);
                    220: double nextafter(double, double);
1.18      martynas  221: #if 0
1.25      martynas  222: double nexttoward(double, long double);
1.18      martynas  223: #endif
                    224:
1.25      martynas  225: double fdim(double, double);
                    226: double fmax(double, double);
                    227: double fmin(double, double);
1.18      martynas  228:
                    229: #if 0
1.25      martynas  230: double fma(double, double, double);
1.18      martynas  231: #endif
                    232: #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
                    233:
1.11      millert   234: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  235: double j0(double);
                    236: double j1(double);
                    237: double jn(int, double);
                    238: double scalb(double, double);
                    239: double y0(double);
                    240: double y1(double);
                    241: double yn(int, double);
1.18      martynas  242: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.1       deraadt   243:
1.18      martynas  244: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  245: double gamma(double);
1.18      martynas  246: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   247:
                    248: /*
                    249:  * BSD math library entry points
                    250:  */
1.18      martynas  251: #if __BSD_VISIBLE
1.25      martynas  252: double drem(double, double);
                    253: int finite(double);
1.1       deraadt   254:
                    255: /*
                    256:  * Reentrant version of gamma & lgamma; passes signgam back by reference
                    257:  * as the second argument; user must allocate space for signgam.
                    258:  */
1.25      martynas  259: double gamma_r(double, int *);
                    260: double lgamma_r(double, int *);
1.1       deraadt   261:
1.18      martynas  262: /*
                    263:  * IEEE Test Vector
                    264:  */
1.25      martynas  265: double significand(double);
1.18      martynas  266: #endif /* __BSD_VISIBLE */
1.1       deraadt   267:
1.18      martynas  268: /*
                    269:  * Float versions of C99 functions
                    270:  */
                    271: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  272: float acosf(float);
                    273: float asinf(float);
                    274: float atanf(float);
                    275: float atan2f(float, float);
                    276: float cosf(float);
                    277: float sinf(float);
                    278: float tanf(float);
                    279:
                    280: float acoshf(float);
                    281: float asinhf(float);
                    282: float atanhf(float);
                    283: float coshf(float);
                    284: float sinhf(float);
                    285: float tanhf(float);
                    286:
                    287: float expf(float);
                    288: float exp2f(float);
                    289: float expm1f(float);
                    290: float frexpf(float, int *);
                    291: int ilogbf(float);
                    292: float ldexpf(float, int);
                    293: float logf(float);
                    294: float log10f(float);
                    295: float log1pf(float);
                    296: float log2f(float);
                    297: float logbf(float);
                    298: float modff(float, float *);
                    299: float scalbnf(float, int);
                    300: float scalblnf(float, long int);
                    301:
                    302: float cbrtf(float);
                    303: float fabsf(float);
                    304: float hypotf(float, float);
                    305: float powf(float, float);
                    306: float sqrtf(float);
                    307:
                    308: float erff(float);
                    309: float erfcf(float);
                    310: float lgammaf(float);
                    311: float tgammaf(float);
                    312:
                    313: float ceilf(float);
                    314: float floorf(float);
                    315: #if 0
                    316: float nearbyintf(float);
                    317: #endif
                    318: float rintf(float);
                    319: long int lrintf(float);
                    320: long long int llrintf(float);
                    321: float roundf(float);
                    322: long int lroundf(float);
                    323: long long int llroundf(float);
                    324: float truncf(float);
                    325:
                    326: float fmodf(float, float);
                    327: float remainderf(float, float);
                    328: float remquof(float, float, int *);
                    329:
                    330: float copysignf(float, float);
                    331: float nanf(const char *);
                    332: float nextafterf(float, float);
                    333: #if 0
                    334: float nexttowardf(float, long double);
                    335: #endif
                    336:
                    337: float fdimf(float, float);
                    338: float fmaxf(float, float);
                    339: float fminf(float, float);
1.18      martynas  340:
                    341: #if 0
1.25      martynas  342: float fmaf(float, float, float);
1.18      martynas  343: #endif
                    344: #endif /* __ISO_C_VISIBLE >= 1999 */
1.6       millert   345:
1.18      martynas  346: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  347: float j0f(float);
                    348: float j1f(float);
                    349: float jnf(int, float);
                    350: float scalbf(float, float);
                    351: float y0f(float);
                    352: float y1f(float);
                    353: float ynf(int, float);
1.18      martynas  354: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.6       millert   355:
1.18      martynas  356: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  357: float gammaf(float);
1.18      martynas  358: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   359:
                    360: /*
1.18      martynas  361:  * Float versions of BSD math library entry points
1.1       deraadt   362:  */
1.18      martynas  363: #if __BSD_VISIBLE
1.25      martynas  364: float dremf(float, float);
                    365: int finitef(float);
                    366: int isinff(float);
                    367: int isnanf(float);
1.1       deraadt   368:
                    369: /*
1.18      martynas  370:  * Float versions of reentrant version of gamma & lgamma; passes
                    371:  * signgam back by reference as the second argument; user must
                    372:  * allocate space for signgam.
1.1       deraadt   373:  */
1.25      martynas  374: float gammaf_r(float, int *);
                    375: float lgammaf_r(float, int *);
1.1       deraadt   376:
                    377: /*
1.18      martynas  378:  * Float version of IEEE Test Vector
1.1       deraadt   379:  */
1.25      martynas  380: float significandf(float);
1.18      martynas  381: #endif /* __BSD_VISIBLE */
1.1       deraadt   382:
                    383: /*
1.18      martynas  384:  * Long double versions of C99 functions
1.1       deraadt   385:  */
1.18      martynas  386: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  387: long double acosl(long double);
                    388: long double asinl(long double);
                    389: long double atanl(long double);
                    390: long double atan2l(long double, long double);
                    391: long double cosl(long double);
                    392: long double sinl(long double);
                    393: long double tanl(long double);
1.18      martynas  394:
1.23      martynas  395: #if 0
1.25      martynas  396: long double acoshl(long double);
                    397: long double asinhl(long double);
                    398: long double atanhl(long double);
                    399: long double coshl(long double);
                    400: long double sinhl(long double);
                    401: long double tanhl(long double);
1.23      martynas  402: #endif
1.18      martynas  403:
1.23      martynas  404: #if 0
1.25      martynas  405: long double expl(long double);
1.23      martynas  406: #endif
1.25      martynas  407: long double exp2l(long double);
1.23      martynas  408: #if 0
1.25      martynas  409: long double expm1l(long double);
1.23      martynas  410: #endif
1.25      martynas  411: long double frexpl(long double, int *);
                    412: int ilogbl(long double);
                    413: long double ldexpl(long double, int);
1.23      martynas  414: #if 0
1.25      martynas  415: long double logl(long double);
                    416: long double log10l(long double);
                    417: long double log1pl(long double);
                    418: long double log2l(long double);
1.23      martynas  419: #endif
1.25      martynas  420: long double logbl(long double);
1.23      martynas  421: #if 0
1.25      martynas  422: long double modfl(long double, long double *);
1.23      martynas  423: #endif
1.25      martynas  424: long double scalbnl(long double, int);
                    425: long double scalblnl(long double, long int);
1.18      martynas  426:
1.23      martynas  427: #if 0
1.25      martynas  428: long double cbrtl(long double);
1.23      martynas  429: #endif
1.25      martynas  430: long double fabsl(long double);
1.23      martynas  431: #if 0
1.25      martynas  432: long double hypotl(long double, long double);
                    433: long double powl(long double, long double);
1.23      martynas  434: #endif
1.25      martynas  435: long double sqrtl(long double);
1.18      martynas  436:
1.23      martynas  437: #if 0
1.25      martynas  438: long double erfl(long double);
                    439: long double erfcl(long double);
                    440: long double lgammal(long double);
                    441: long double tgammal(long double);
1.23      martynas  442: #endif
1.18      martynas  443:
1.23      martynas  444: #if 0
1.25      martynas  445: long double ceill(long double);
                    446: long double floorl(long double);
                    447: long double nearbyintl(long double);
1.23      martynas  448: #endif
1.25      martynas  449: long double rintl(long double);
1.23      martynas  450: #if 0
1.25      martynas  451: long int lrintl(long double);
                    452: long long int llrintl(long double);
                    453: long double roundl(long double);
                    454: long int lroundl(long double);
                    455: long long int llroundl(long double);
                    456: long double truncl(long double);
1.23      martynas  457: #endif
1.18      martynas  458:
1.23      martynas  459: #if 0
1.25      martynas  460: long double fmodl(long double, long double);
                    461: long double remainderl(long double, long double);
                    462: long double remquol(long double, long double, int *);
1.23      martynas  463: #endif
1.18      martynas  464:
1.25      martynas  465: long double copysignl(long double, long double);
                    466: long double nanl(const char *);
1.23      martynas  467: #if 0
1.25      martynas  468: long double nextafterl(long double, long double);
                    469: long double nexttowardl(long double, long double);
1.23      martynas  470: #endif
1.18      martynas  471:
1.25      martynas  472: long double fdiml(long double, long double);
                    473: long double fmaxl(long double, long double);
                    474: long double fminl(long double, long double);
1.18      martynas  475:
1.23      martynas  476: #if 0
1.25      martynas  477: long double fmal(long double, long double, long double);
1.18      martynas  478: #endif
                    479: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt   480:
1.18      martynas  481: /*
                    482:  * Library implementation
                    483:  */
1.25      martynas  484: int __fpclassify(double);
                    485: int __fpclassifyf(float);
                    486: int __fpclassifyl(long double);
                    487: int __isfinite(double);
                    488: int __isfinitef(float);
                    489: int __isfinitel(long double);
                    490: int __isinf(double);
                    491: int __isinff(float);
                    492: int __isinfl(long double);
                    493: int __isnan(double);
                    494: int __isnanf(float);
                    495: int __isnanl(long double);
                    496: int __isnormal(double);
                    497: int __isnormalf(float);
                    498: int __isnormall(long double);
                    499: int __signbit(double);
                    500: int __signbitf(float);
                    501: int __signbitl(long double);
1.16      martynas  502:
                    503: #if __BSD_VISIBLE && defined(__vax__)
1.25      martynas  504: double infnan(int);
1.16      martynas  505: #endif /* __BSD_VISIBLE && defined(__vax__) */
1.1       deraadt   506: __END_DECLS
                    507:
1.18      martynas  508: #endif /* !_MATH_H_ */