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Annotation of src/include/math.h, Revision 1.35

1.35    ! jca         1: /*     $OpenBSD: math.h,v 1.34 2015/07/19 17:41:49 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>
1.18      martynas   21: #include <sys/limits.h>
1.11      millert    22:
1.29      martynas   23: __BEGIN_DECLS
1.1       deraadt    24: /*
                     25:  * ANSI/POSIX
                     26:  */
                     27: extern char __infinity[];
1.35    ! jca        28: #if __GNUC_PREREQ__(3, 3)
1.27      martynas   29: #define HUGE_VAL       __builtin_huge_val()
1.35    ! jca        30: #else /* __GNUC_PREREQ__(3, 3) */
1.12      otto       31: #define HUGE_VAL       (*(double *)(void *)__infinity)
1.35    ! jca        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:
1.35    ! jca        41: #if __GNUC_PREREQ__(3, 3)
1.27      martynas   42: #define        HUGE_VALF       __builtin_huge_valf()
                     43: #define        HUGE_VALL       __builtin_huge_vall()
                     44: #define        INFINITY        __builtin_inff()
                     45: #define        NAN             __builtin_nanf("")
1.35    ! jca        46: #else /* __GNUC_PREREQ__(3, 3) */
1.18      martynas   47: #define        HUGE_VALF       ((float)HUGE_VAL)
                     48: #define        HUGE_VALL       ((long double)HUGE_VAL)
                     49: #define        INFINITY        HUGE_VALF
1.19      martynas   50: extern char __nan[];
                     51: #define        NAN             (*(float *)(void *)__nan)
1.35    ! jca        52: #endif /* __GNUC_PREREQ__(3, 3) */
1.18      martynas   53:
                     54: #define        FP_INFINITE     0x01
                     55: #define        FP_NAN          0x02
                     56: #define        FP_NORMAL       0x04
                     57: #define        FP_SUBNORMAL    0x08
                     58: #define        FP_ZERO         0x10
                     59:
                     60: #define FP_ILOGB0      (-INT_MAX)
                     61: #define FP_ILOGBNAN    INT_MAX
1.34      martynas   62:
                     63: #ifdef __FP_FAST_FMA
                     64: #define        FP_FAST_FMA     1
                     65: #endif /* __FP_FAST_FMA */
                     66:
                     67: #ifdef __FP_FAST_FMAF
                     68: #define        FP_FAST_FMAF    1
                     69: #endif /* __FP_FAST_FMAF */
                     70:
                     71: #ifdef __FP_FAST_FMAL
                     72: #define        FP_FAST_FMAL    1
                     73: #endif /* __FP_FAST_FMAL */
                     74:
                     75: #define        MATH_ERRNO      1
                     76: #define        MATH_ERREXCEPT  2
                     77: #define        math_errhandling        MATH_ERREXCEPT
1.18      martynas   78:
                     79: #define fpclassify(x) \
                     80:        ((sizeof (x) == sizeof (float)) ? \
                     81:                __fpclassifyf(x) \
                     82:        : (sizeof (x) == sizeof (double)) ? \
                     83:                __fpclassify(x) \
                     84:        :       __fpclassifyl(x))
                     85: #define isfinite(x) \
                     86:        ((sizeof (x) == sizeof (float)) ? \
                     87:                __isfinitef(x) \
                     88:        : (sizeof (x) == sizeof (double)) ? \
                     89:                __isfinite(x) \
                     90:        :       __isfinitel(x))
                     91: #define isnormal(x) \
                     92:        ((sizeof (x) == sizeof (float)) ? \
                     93:                __isnormalf(x) \
                     94:        : (sizeof (x) == sizeof (double)) ? \
                     95:                __isnormal(x) \
                     96:        :       __isnormall(x))
                     97: #define signbit(x) \
                     98:        ((sizeof (x) == sizeof (float)) ? \
                     99:                __signbitf(x) \
                    100:        : (sizeof (x) == sizeof (double)) ? \
                    101:                __signbit(x) \
                    102:        :       __signbitl(x))
                    103:
                    104: #define        isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
                    105: #define        isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
                    106: #define        isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
                    107: #define        islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
                    108: #define        islessgreater(x, y)     (!isunordered((x), (y)) && \
                    109:                                        ((x) > (y) || (y) > (x)))
                    110: #define        isunordered(x, y)       (isnan(x) || isnan(y))
                    111: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt   112:
1.21      martynas  113: #define isinf(x) \
                    114:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas  115:                __isinff(x) \
1.21      martynas  116:        : (sizeof (x) == sizeof (double)) ? \
                    117:                __isinf(x) \
                    118:        :       __isinfl(x))
                    119: #define isnan(x) \
                    120:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas  121:                __isnanf(x) \
1.21      martynas  122:        : (sizeof (x) == sizeof (double)) ? \
                    123:                __isnan(x) \
                    124:        :       __isnanl(x))
                    125:
1.1       deraadt   126: /*
                    127:  * XOPEN/SVID
                    128:  */
1.11      millert   129: #if __BSD_VISIBLE || __XPG_VISIBLE
1.33      martynas  130: #define        M_E             ((double)2.7182818284590452354)  /* e */
                    131: #define        M_LOG2E         ((double)1.4426950408889634074)  /* log 2e */
                    132: #define        M_LOG10E        ((double)0.43429448190325182765) /* log 10e */
                    133: #define        M_LN2           ((double)0.69314718055994530942) /* log e2 */
                    134: #define        M_LN10          ((double)2.30258509299404568402) /* log e10 */
                    135: #define        M_PI            ((double)3.14159265358979323846) /* pi */
                    136: #define        M_PI_2          ((double)1.57079632679489661923) /* pi/2 */
                    137: #define        M_PI_4          ((double)0.78539816339744830962) /* pi/4 */
                    138: #define        M_1_PI          ((double)0.31830988618379067154) /* 1/pi */
                    139: #define        M_2_PI          ((double)0.63661977236758134308) /* 2/pi */
                    140: #define        M_2_SQRTPI      ((double)1.12837916709551257390) /* 2/sqrt(pi) */
                    141: #define        M_SQRT2         ((double)1.41421356237309504880) /* sqrt(2) */
                    142: #define        M_SQRT1_2       ((double)0.70710678118654752440) /* 1/sqrt(2) */
1.1       deraadt   143:
                    144: #define        MAXFLOAT        ((float)3.40282346638528860e+38)
1.7       jason     145:
1.1       deraadt   146: extern int signgam;
1.11      millert   147: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.33      martynas  148:
                    149: #if __POSIX_VISIBLE >= 201403
                    150: #define        M_El            2.718281828459045235360287471352662498L /* e */
                    151: #define        M_LOG2El        1.442695040888963407359924681001892137L /* log 2e */
                    152: #define        M_LOG10El       0.434294481903251827651128918916605082L /* log 10e */
                    153: #define        M_LN2l          0.693147180559945309417232121458176568L /* log e2 */
                    154: #define        M_LN10l         2.302585092994045684017991454684364208L /* log e10 */
                    155: #define        M_PIl           3.141592653589793238462643383279502884L /* pi */
                    156: #define        M_PI_2l         1.570796326794896619231321691639751442L /* pi/2 */
                    157: #define        M_PI_4l         0.785398163397448309615660845819875721L /* pi/4 */
                    158: #define        M_1_PIl         0.318309886183790671537767526745028724L /* 1/pi */
                    159: #define        M_2_PIl         0.636619772367581343075535053490057448L /* 2/pi */
                    160: #define        M_2_SQRTPIl     1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
                    161: #define        M_SQRT2l        1.414213562373095048801688724209698079L /* sqrt(2) */
                    162: #define        M_SQRT1_2l      0.707106781186547524400844362104849039L /* 1/sqrt(2) */
                    163: #endif /* __POSIX_VISIBLE >= 201403 */
1.1       deraadt   164:
1.11      millert   165: #if __BSD_VISIBLE
1.1       deraadt   166: #define        HUGE            MAXFLOAT
1.11      millert   167: #endif /* __BSD_VISIBLE */
1.1       deraadt   168:
                    169: /*
                    170:  * ANSI/POSIX
                    171:  */
1.25      martynas  172: double acos(double);
                    173: double asin(double);
                    174: double atan(double);
                    175: double atan2(double, double);
                    176: double cos(double);
                    177: double sin(double);
                    178: double tan(double);
                    179:
                    180: double cosh(double);
                    181: double sinh(double);
                    182: double tanh(double);
                    183:
                    184: double exp(double);
                    185: double frexp(double, int *);
                    186: double ldexp(double, int);
                    187: double log(double);
                    188: double log10(double);
                    189: double modf(double, double *);
                    190:
                    191: double pow(double, double);
                    192: double sqrt(double);
                    193:
                    194: double ceil(double);
                    195: double fabs(double);
                    196: double floor(double);
                    197: double fmod(double, double);
1.1       deraadt   198:
1.18      martynas  199: /*
                    200:  * C99
                    201:  */
                    202: #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
1.25      martynas  203: double acosh(double);
                    204: double asinh(double);
                    205: double atanh(double);
1.18      martynas  206:
1.25      martynas  207: double exp2(double);
                    208: double expm1(double);
                    209: int ilogb(double);
                    210: double log1p(double);
                    211: double log2(double);
                    212: double logb(double);
                    213: double scalbn(double, int);
                    214: double scalbln(double, long int);
1.18      martynas  215:
1.25      martynas  216: double cbrt(double);
                    217: double hypot(double, double);
1.18      martynas  218:
1.25      martynas  219: double erf(double);
                    220: double erfc(double);
                    221: double lgamma(double);
                    222: double tgamma(double);
1.18      martynas  223:
1.25      martynas  224: double nearbyint(double);
                    225: double rint(double);
                    226: long int lrint(double);
                    227: long long int llrint(double);
                    228: double round(double);
                    229: long int lround(double);
                    230: long long int llround(double);
                    231: double trunc(double);
1.13      brad      232:
1.25      martynas  233: double remainder(double, double);
                    234: double remquo(double, double, int *);
1.18      martynas  235:
1.25      martynas  236: double copysign(double, double);
                    237: double nan(const char *);
                    238: double nextafter(double, double);
                    239: double nexttoward(double, long double);
1.18      martynas  240:
1.25      martynas  241: double fdim(double, double);
                    242: double fmax(double, double);
                    243: double fmin(double, double);
1.18      martynas  244:
1.25      martynas  245: double fma(double, double, double);
1.18      martynas  246: #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
                    247:
1.11      millert   248: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  249: double j0(double);
                    250: double j1(double);
                    251: double jn(int, double);
                    252: double scalb(double, double);
                    253: double y0(double);
                    254: double y1(double);
                    255: double yn(int, double);
1.18      martynas  256: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.1       deraadt   257:
1.18      martynas  258: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  259: double gamma(double);
1.18      martynas  260: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   261:
                    262: /*
                    263:  * BSD math library entry points
                    264:  */
1.18      martynas  265: #if __BSD_VISIBLE
1.25      martynas  266: double drem(double, double);
                    267: int finite(double);
1.1       deraadt   268:
                    269: /*
                    270:  * Reentrant version of gamma & lgamma; passes signgam back by reference
                    271:  * as the second argument; user must allocate space for signgam.
                    272:  */
1.25      martynas  273: double gamma_r(double, int *);
                    274: double lgamma_r(double, int *);
1.1       deraadt   275:
1.18      martynas  276: /*
                    277:  * IEEE Test Vector
                    278:  */
1.25      martynas  279: double significand(double);
1.18      martynas  280: #endif /* __BSD_VISIBLE */
1.1       deraadt   281:
1.18      martynas  282: /*
                    283:  * Float versions of C99 functions
                    284:  */
                    285: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  286: float acosf(float);
                    287: float asinf(float);
                    288: float atanf(float);
                    289: float atan2f(float, float);
                    290: float cosf(float);
                    291: float sinf(float);
                    292: float tanf(float);
                    293:
                    294: float acoshf(float);
                    295: float asinhf(float);
                    296: float atanhf(float);
                    297: float coshf(float);
                    298: float sinhf(float);
                    299: float tanhf(float);
                    300:
                    301: float expf(float);
                    302: float exp2f(float);
                    303: float expm1f(float);
                    304: float frexpf(float, int *);
                    305: int ilogbf(float);
                    306: float ldexpf(float, int);
                    307: float logf(float);
                    308: float log10f(float);
                    309: float log1pf(float);
                    310: float log2f(float);
                    311: float logbf(float);
                    312: float modff(float, float *);
                    313: float scalbnf(float, int);
                    314: float scalblnf(float, long int);
                    315:
                    316: float cbrtf(float);
                    317: float fabsf(float);
                    318: float hypotf(float, float);
                    319: float powf(float, float);
                    320: float sqrtf(float);
                    321:
                    322: float erff(float);
                    323: float erfcf(float);
                    324: float lgammaf(float);
                    325: float tgammaf(float);
                    326:
                    327: float ceilf(float);
                    328: float floorf(float);
                    329: float nearbyintf(float);
                    330: float rintf(float);
                    331: long int lrintf(float);
                    332: long long int llrintf(float);
                    333: float roundf(float);
                    334: long int lroundf(float);
                    335: long long int llroundf(float);
                    336: float truncf(float);
                    337:
                    338: float fmodf(float, float);
                    339: float remainderf(float, float);
                    340: float remquof(float, float, int *);
                    341:
                    342: float copysignf(float, float);
                    343: float nanf(const char *);
                    344: float nextafterf(float, float);
                    345: float nexttowardf(float, long double);
                    346:
                    347: float fdimf(float, float);
                    348: float fmaxf(float, float);
                    349: float fminf(float, float);
1.18      martynas  350:
1.25      martynas  351: float fmaf(float, float, float);
1.18      martynas  352: #endif /* __ISO_C_VISIBLE >= 1999 */
1.6       millert   353:
1.18      martynas  354: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  355: float j0f(float);
                    356: float j1f(float);
                    357: float jnf(int, float);
                    358: float scalbf(float, float);
                    359: float y0f(float);
                    360: float y1f(float);
                    361: float ynf(int, float);
1.18      martynas  362: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.6       millert   363:
1.18      martynas  364: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  365: float gammaf(float);
1.18      martynas  366: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   367:
                    368: /*
1.18      martynas  369:  * Float versions of BSD math library entry points
1.1       deraadt   370:  */
1.18      martynas  371: #if __BSD_VISIBLE
1.25      martynas  372: float dremf(float, float);
                    373: int finitef(float);
                    374: int isinff(float);
                    375: int isnanf(float);
1.1       deraadt   376:
                    377: /*
1.18      martynas  378:  * Float versions of reentrant version of gamma & lgamma; passes
                    379:  * signgam back by reference as the second argument; user must
                    380:  * allocate space for signgam.
1.1       deraadt   381:  */
1.25      martynas  382: float gammaf_r(float, int *);
                    383: float lgammaf_r(float, int *);
1.1       deraadt   384:
                    385: /*
1.18      martynas  386:  * Float version of IEEE Test Vector
1.1       deraadt   387:  */
1.25      martynas  388: float significandf(float);
1.18      martynas  389: #endif /* __BSD_VISIBLE */
1.1       deraadt   390:
                    391: /*
1.18      martynas  392:  * Long double versions of C99 functions
1.1       deraadt   393:  */
1.18      martynas  394: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  395: long double acosl(long double);
                    396: long double asinl(long double);
                    397: long double atanl(long double);
                    398: long double atan2l(long double, long double);
                    399: long double cosl(long double);
                    400: long double sinl(long double);
                    401: long double tanl(long double);
1.18      martynas  402:
1.25      martynas  403: long double acoshl(long double);
                    404: long double asinhl(long double);
                    405: long double atanhl(long double);
                    406: long double coshl(long double);
                    407: long double sinhl(long double);
                    408: long double tanhl(long double);
1.18      martynas  409:
1.25      martynas  410: long double expl(long double);
                    411: long double exp2l(long double);
                    412: long double expm1l(long double);
                    413: long double frexpl(long double, int *);
                    414: int ilogbl(long double);
                    415: long double ldexpl(long double, int);
                    416: long double logl(long double);
                    417: long double log10l(long double);
                    418: long double log1pl(long double);
                    419: long double log2l(long double);
                    420: long double logbl(long double);
                    421: long double modfl(long double, long double *);
                    422: long double scalbnl(long double, int);
                    423: long double scalblnl(long double, long int);
1.18      martynas  424:
1.25      martynas  425: long double cbrtl(long double);
                    426: long double fabsl(long double);
                    427: long double hypotl(long double, long double);
                    428: long double powl(long double, long double);
                    429: long double sqrtl(long double);
1.18      martynas  430:
1.25      martynas  431: long double erfl(long double);
                    432: long double erfcl(long double);
                    433: long double lgammal(long double);
                    434: long double tgammal(long double);
1.18      martynas  435:
1.25      martynas  436: long double ceill(long double);
                    437: long double floorl(long double);
                    438: long double nearbyintl(long double);
                    439: long double rintl(long double);
                    440: long int lrintl(long double);
                    441: long long int llrintl(long double);
                    442: long double roundl(long double);
                    443: long int lroundl(long double);
                    444: long long int llroundl(long double);
                    445: long double truncl(long double);
1.18      martynas  446:
1.25      martynas  447: long double fmodl(long double, long double);
                    448: long double remainderl(long double, long double);
                    449: long double remquol(long double, long double, int *);
1.18      martynas  450:
1.25      martynas  451: long double copysignl(long double, long double);
                    452: long double nanl(const char *);
                    453: long double nextafterl(long double, long double);
                    454: long double nexttowardl(long double, long double);
1.18      martynas  455:
1.25      martynas  456: long double fdiml(long double, long double);
                    457: long double fmaxl(long double, long double);
                    458: long double fminl(long double, long double);
1.18      martynas  459:
1.25      martynas  460: long double fmal(long double, long double, long double);
1.18      martynas  461: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt   462:
1.18      martynas  463: /*
                    464:  * Library implementation
                    465:  */
1.25      martynas  466: int __fpclassify(double);
                    467: int __fpclassifyf(float);
                    468: int __fpclassifyl(long double);
                    469: int __isfinite(double);
                    470: int __isfinitef(float);
                    471: int __isfinitel(long double);
                    472: int __isinf(double);
                    473: int __isinff(float);
                    474: int __isinfl(long double);
                    475: int __isnan(double);
                    476: int __isnanf(float);
                    477: int __isnanl(long double);
                    478: int __isnormal(double);
                    479: int __isnormalf(float);
                    480: int __isnormall(long double);
                    481: int __signbit(double);
                    482: int __signbitf(float);
                    483: int __signbitl(long double);
1.1       deraadt   484: __END_DECLS
                    485:
1.18      martynas  486: #endif /* !_MATH_H_ */