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Annotation of src/include/math.h, Revision 1.26

1.26    ! martynas    1: /*     $OpenBSD: math.h,v 1.25 2009/04/08 23:09:50 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[];
1.12      otto       28: #define HUGE_VAL       (*(double *)(void *)__infinity)
1.9       espie      29:
1.18      martynas   30: /*
1.9       espie      31:  * C99
                     32:  */
1.18      martynas   33: #if __ISO_C_VISIBLE >= 1999
                     34: typedef        __double_t      double_t;
                     35: typedef        __float_t       float_t;
                     36:
1.23      martynas   37: #ifdef __vax__
1.24      martynas   38: extern char __infinityf[];
1.23      martynas   39: #define        HUGE_VALF       (*(float *)(void *)__infinityf)
                     40: #else /* __vax__ */
1.18      martynas   41: #define        HUGE_VALF       ((float)HUGE_VAL)
1.23      martynas   42: #endif /* __vax__ */
1.18      martynas   43: #define        HUGE_VALL       ((long double)HUGE_VAL)
                     44: #define        INFINITY        HUGE_VALF
1.19      martynas   45: #ifndef __vax__
                     46: extern char __nan[];
                     47: #define        NAN             (*(float *)(void *)__nan)
                     48: #endif /* !__vax__ */
1.18      martynas   49:
                     50: #define        FP_INFINITE     0x01
                     51: #define        FP_NAN          0x02
                     52: #define        FP_NORMAL       0x04
                     53: #define        FP_SUBNORMAL    0x08
                     54: #define        FP_ZERO         0x10
                     55:
                     56: #define FP_ILOGB0      (-INT_MAX)
                     57: #define FP_ILOGBNAN    INT_MAX
                     58:
                     59: #define fpclassify(x) \
                     60:        ((sizeof (x) == sizeof (float)) ? \
                     61:                __fpclassifyf(x) \
                     62:        : (sizeof (x) == sizeof (double)) ? \
                     63:                __fpclassify(x) \
                     64:        :       __fpclassifyl(x))
                     65: #define isfinite(x) \
                     66:        ((sizeof (x) == sizeof (float)) ? \
                     67:                __isfinitef(x) \
                     68:        : (sizeof (x) == sizeof (double)) ? \
                     69:                __isfinite(x) \
                     70:        :       __isfinitel(x))
                     71: #define isnormal(x) \
                     72:        ((sizeof (x) == sizeof (float)) ? \
                     73:                __isnormalf(x) \
                     74:        : (sizeof (x) == sizeof (double)) ? \
                     75:                __isnormal(x) \
                     76:        :       __isnormall(x))
                     77: #define signbit(x) \
                     78:        ((sizeof (x) == sizeof (float)) ? \
                     79:                __signbitf(x) \
                     80:        : (sizeof (x) == sizeof (double)) ? \
                     81:                __signbit(x) \
                     82:        :       __signbitl(x))
                     83:
                     84: #define        isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
                     85: #define        isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
                     86: #define        isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
                     87: #define        islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
                     88: #define        islessgreater(x, y)     (!isunordered((x), (y)) && \
                     89:                                        ((x) > (y) || (y) > (x)))
                     90: #define        isunordered(x, y)       (isnan(x) || isnan(y))
                     91: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt    92:
1.21      martynas   93: #define isinf(x) \
                     94:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas   95:                __isinff(x) \
1.21      martynas   96:        : (sizeof (x) == sizeof (double)) ? \
                     97:                __isinf(x) \
                     98:        :       __isinfl(x))
                     99: #define isnan(x) \
                    100:        ((sizeof (x) == sizeof (float)) ? \
1.23      martynas  101:                __isnanf(x) \
1.21      martynas  102:        : (sizeof (x) == sizeof (double)) ? \
                    103:                __isnan(x) \
                    104:        :       __isnanl(x))
                    105:
1.1       deraadt   106: /*
                    107:  * XOPEN/SVID
                    108:  */
1.11      millert   109: #if __BSD_VISIBLE || __XPG_VISIBLE
1.1       deraadt   110: #define        M_E             2.7182818284590452354   /* e */
                    111: #define        M_LOG2E         1.4426950408889634074   /* log 2e */
                    112: #define        M_LOG10E        0.43429448190325182765  /* log 10e */
                    113: #define        M_LN2           0.69314718055994530942  /* log e2 */
                    114: #define        M_LN10          2.30258509299404568402  /* log e10 */
                    115: #define        M_PI            3.14159265358979323846  /* pi */
                    116: #define        M_PI_2          1.57079632679489661923  /* pi/2 */
                    117: #define        M_PI_4          0.78539816339744830962  /* pi/4 */
                    118: #define        M_1_PI          0.31830988618379067154  /* 1/pi */
                    119: #define        M_2_PI          0.63661977236758134308  /* 2/pi */
                    120: #define        M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
                    121: #define        M_SQRT2         1.41421356237309504880  /* sqrt(2) */
                    122: #define        M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
                    123:
1.7       jason     124: #ifdef __vax__
1.18      martynas  125: #define        MAXFLOAT        ((float)1.70141173319264430e+38)
1.7       jason     126: #else
1.1       deraadt   127: #define        MAXFLOAT        ((float)3.40282346638528860e+38)
1.18      martynas  128: #endif /* __vax__ */
1.7       jason     129:
1.1       deraadt   130: extern int signgam;
1.11      millert   131: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.1       deraadt   132:
1.11      millert   133: #if __BSD_VISIBLE
1.1       deraadt   134: #define        HUGE            MAXFLOAT
1.11      millert   135: #endif /* __BSD_VISIBLE */
1.1       deraadt   136:
                    137: __BEGIN_DECLS
                    138: /*
                    139:  * ANSI/POSIX
                    140:  */
1.25      martynas  141: double acos(double);
                    142: double asin(double);
                    143: double atan(double);
                    144: double atan2(double, double);
                    145: double cos(double);
                    146: double sin(double);
                    147: double tan(double);
                    148:
                    149: double cosh(double);
                    150: double sinh(double);
                    151: double tanh(double);
                    152:
                    153: double exp(double);
                    154: double frexp(double, int *);
                    155: double ldexp(double, int);
                    156: double log(double);
                    157: double log10(double);
                    158: double modf(double, double *);
                    159:
                    160: double pow(double, double);
                    161: double sqrt(double);
                    162:
                    163: double ceil(double);
                    164: double fabs(double);
                    165: double floor(double);
                    166: double fmod(double, double);
1.1       deraadt   167:
1.18      martynas  168: /*
                    169:  * C99
                    170:  */
                    171: #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
1.25      martynas  172: double acosh(double);
                    173: double asinh(double);
                    174: double atanh(double);
1.18      martynas  175:
1.25      martynas  176: double exp2(double);
                    177: double expm1(double);
                    178: int ilogb(double);
                    179: double log1p(double);
                    180: double log2(double);
                    181: double logb(double);
                    182: double scalbn(double, int);
                    183: double scalbln(double, long int);
1.18      martynas  184:
1.25      martynas  185: double cbrt(double);
                    186: double hypot(double, double);
1.18      martynas  187:
1.25      martynas  188: double erf(double);
                    189: double erfc(double);
                    190: double lgamma(double);
                    191: double tgamma(double);
1.18      martynas  192:
                    193: #if 0
1.25      martynas  194: double nearbyint(double);
1.18      martynas  195: #endif
1.25      martynas  196: double rint(double);
                    197: long int lrint(double);
                    198: long long int llrint(double);
                    199: double round(double);
                    200: long int lround(double);
                    201: long long int llround(double);
                    202: double trunc(double);
1.13      brad      203:
1.25      martynas  204: double remainder(double, double);
                    205: double remquo(double, double, int *);
1.18      martynas  206:
1.25      martynas  207: double copysign(double, double);
                    208: double nan(const char *);
                    209: double nextafter(double, double);
1.18      martynas  210: #if 0
1.25      martynas  211: double nexttoward(double, long double);
1.18      martynas  212: #endif
                    213:
1.25      martynas  214: double fdim(double, double);
                    215: double fmax(double, double);
                    216: double fmin(double, double);
1.18      martynas  217:
                    218: #if 0
1.25      martynas  219: double fma(double, double, double);
1.18      martynas  220: #endif
                    221: #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
                    222:
1.11      millert   223: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  224: double j0(double);
                    225: double j1(double);
                    226: double jn(int, double);
                    227: double scalb(double, double);
                    228: double y0(double);
                    229: double y1(double);
                    230: double yn(int, double);
1.18      martynas  231: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.1       deraadt   232:
1.18      martynas  233: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  234: double gamma(double);
1.18      martynas  235: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   236:
                    237: /*
                    238:  * BSD math library entry points
                    239:  */
1.18      martynas  240: #if __BSD_VISIBLE
1.25      martynas  241: double drem(double, double);
                    242: int finite(double);
1.1       deraadt   243:
                    244: /*
                    245:  * Reentrant version of gamma & lgamma; passes signgam back by reference
                    246:  * as the second argument; user must allocate space for signgam.
                    247:  */
1.25      martynas  248: double gamma_r(double, int *);
                    249: double lgamma_r(double, int *);
1.1       deraadt   250:
1.18      martynas  251: /*
                    252:  * IEEE Test Vector
                    253:  */
1.25      martynas  254: double significand(double);
1.18      martynas  255: #endif /* __BSD_VISIBLE */
1.1       deraadt   256:
1.18      martynas  257: /*
                    258:  * Float versions of C99 functions
                    259:  */
                    260: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  261: float acosf(float);
                    262: float asinf(float);
                    263: float atanf(float);
                    264: float atan2f(float, float);
                    265: float cosf(float);
                    266: float sinf(float);
                    267: float tanf(float);
                    268:
                    269: float acoshf(float);
                    270: float asinhf(float);
                    271: float atanhf(float);
                    272: float coshf(float);
                    273: float sinhf(float);
                    274: float tanhf(float);
                    275:
                    276: float expf(float);
                    277: float exp2f(float);
                    278: float expm1f(float);
                    279: float frexpf(float, int *);
                    280: int ilogbf(float);
                    281: float ldexpf(float, int);
                    282: float logf(float);
                    283: float log10f(float);
                    284: float log1pf(float);
                    285: float log2f(float);
                    286: float logbf(float);
                    287: float modff(float, float *);
                    288: float scalbnf(float, int);
                    289: float scalblnf(float, long int);
                    290:
                    291: float cbrtf(float);
                    292: float fabsf(float);
                    293: float hypotf(float, float);
                    294: float powf(float, float);
                    295: float sqrtf(float);
                    296:
                    297: float erff(float);
                    298: float erfcf(float);
                    299: float lgammaf(float);
                    300: float tgammaf(float);
                    301:
                    302: float ceilf(float);
                    303: float floorf(float);
                    304: #if 0
                    305: float nearbyintf(float);
                    306: #endif
                    307: float rintf(float);
                    308: long int lrintf(float);
                    309: long long int llrintf(float);
                    310: float roundf(float);
                    311: long int lroundf(float);
                    312: long long int llroundf(float);
                    313: float truncf(float);
                    314:
                    315: float fmodf(float, float);
                    316: float remainderf(float, float);
                    317: float remquof(float, float, int *);
                    318:
                    319: float copysignf(float, float);
                    320: float nanf(const char *);
                    321: float nextafterf(float, float);
                    322: #if 0
                    323: float nexttowardf(float, long double);
                    324: #endif
                    325:
                    326: float fdimf(float, float);
                    327: float fmaxf(float, float);
                    328: float fminf(float, float);
1.18      martynas  329:
                    330: #if 0
1.25      martynas  331: float fmaf(float, float, float);
1.18      martynas  332: #endif
                    333: #endif /* __ISO_C_VISIBLE >= 1999 */
1.6       millert   334:
1.18      martynas  335: #if __BSD_VISIBLE || __XPG_VISIBLE
1.25      martynas  336: float j0f(float);
                    337: float j1f(float);
                    338: float jnf(int, float);
                    339: float scalbf(float, float);
                    340: float y0f(float);
                    341: float y1f(float);
                    342: float ynf(int, float);
1.18      martynas  343: #endif /* __BSD_VISIBLE || __XPG_VISIBLE */
1.6       millert   344:
1.18      martynas  345: #if __BSD_VISIBLE || __XPG_VISIBLE <= 500
1.25      martynas  346: float gammaf(float);
1.18      martynas  347: #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
1.1       deraadt   348:
                    349: /*
1.18      martynas  350:  * Float versions of BSD math library entry points
1.1       deraadt   351:  */
1.18      martynas  352: #if __BSD_VISIBLE
1.25      martynas  353: float dremf(float, float);
                    354: int finitef(float);
                    355: int isinff(float);
                    356: int isnanf(float);
1.1       deraadt   357:
                    358: /*
1.18      martynas  359:  * Float versions of reentrant version of gamma & lgamma; passes
                    360:  * signgam back by reference as the second argument; user must
                    361:  * allocate space for signgam.
1.1       deraadt   362:  */
1.25      martynas  363: float gammaf_r(float, int *);
                    364: float lgammaf_r(float, int *);
1.1       deraadt   365:
                    366: /*
1.18      martynas  367:  * Float version of IEEE Test Vector
1.1       deraadt   368:  */
1.25      martynas  369: float significandf(float);
1.18      martynas  370: #endif /* __BSD_VISIBLE */
1.1       deraadt   371:
                    372: /*
1.18      martynas  373:  * Long double versions of C99 functions
1.1       deraadt   374:  */
1.18      martynas  375: #if __ISO_C_VISIBLE >= 1999
1.25      martynas  376: long double acosl(long double);
                    377: long double asinl(long double);
                    378: long double atanl(long double);
                    379: long double atan2l(long double, long double);
                    380: long double cosl(long double);
                    381: long double sinl(long double);
                    382: long double tanl(long double);
1.18      martynas  383:
1.23      martynas  384: #if 0
1.25      martynas  385: long double acoshl(long double);
                    386: long double asinhl(long double);
                    387: long double atanhl(long double);
                    388: long double coshl(long double);
                    389: long double sinhl(long double);
                    390: long double tanhl(long double);
1.23      martynas  391: #endif
1.18      martynas  392:
1.23      martynas  393: #if 0
1.25      martynas  394: long double expl(long double);
1.23      martynas  395: #endif
1.25      martynas  396: long double exp2l(long double);
1.23      martynas  397: #if 0
1.25      martynas  398: long double expm1l(long double);
1.23      martynas  399: #endif
1.25      martynas  400: long double frexpl(long double, int *);
                    401: int ilogbl(long double);
                    402: long double ldexpl(long double, int);
1.23      martynas  403: #if 0
1.25      martynas  404: long double logl(long double);
                    405: long double log10l(long double);
                    406: long double log1pl(long double);
                    407: long double log2l(long double);
1.23      martynas  408: #endif
1.25      martynas  409: long double logbl(long double);
1.23      martynas  410: #if 0
1.25      martynas  411: long double modfl(long double, long double *);
1.23      martynas  412: #endif
1.25      martynas  413: long double scalbnl(long double, int);
                    414: long double scalblnl(long double, long int);
1.18      martynas  415:
1.23      martynas  416: #if 0
1.25      martynas  417: long double cbrtl(long double);
1.23      martynas  418: #endif
1.25      martynas  419: long double fabsl(long double);
1.23      martynas  420: #if 0
1.25      martynas  421: long double hypotl(long double, long double);
                    422: long double powl(long double, long double);
1.23      martynas  423: #endif
1.25      martynas  424: long double sqrtl(long double);
1.18      martynas  425:
1.23      martynas  426: #if 0
1.25      martynas  427: long double erfl(long double);
                    428: long double erfcl(long double);
                    429: long double lgammal(long double);
                    430: long double tgammal(long double);
1.23      martynas  431: #endif
1.18      martynas  432:
1.23      martynas  433: #if 0
1.25      martynas  434: long double ceill(long double);
                    435: long double floorl(long double);
                    436: long double nearbyintl(long double);
1.23      martynas  437: #endif
1.25      martynas  438: long double rintl(long double);
1.23      martynas  439: #if 0
1.25      martynas  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);
1.23      martynas  446: #endif
1.18      martynas  447:
1.23      martynas  448: #if 0
1.25      martynas  449: long double fmodl(long double, long double);
                    450: long double remainderl(long double, long double);
                    451: long double remquol(long double, long double, int *);
1.23      martynas  452: #endif
1.18      martynas  453:
1.25      martynas  454: long double copysignl(long double, long double);
                    455: long double nanl(const char *);
1.23      martynas  456: #if 0
1.25      martynas  457: long double nextafterl(long double, long double);
                    458: long double nexttowardl(long double, long double);
1.23      martynas  459: #endif
1.18      martynas  460:
1.25      martynas  461: long double fdiml(long double, long double);
                    462: long double fmaxl(long double, long double);
                    463: long double fminl(long double, long double);
1.18      martynas  464:
1.23      martynas  465: #if 0
1.25      martynas  466: long double fmal(long double, long double, long double);
1.18      martynas  467: #endif
                    468: #endif /* __ISO_C_VISIBLE >= 1999 */
1.1       deraadt   469:
1.18      martynas  470: /*
                    471:  * Library implementation
                    472:  */
1.25      martynas  473: int __fpclassify(double);
                    474: int __fpclassifyf(float);
                    475: int __fpclassifyl(long double);
                    476: int __isfinite(double);
                    477: int __isfinitef(float);
                    478: int __isfinitel(long double);
                    479: int __isinf(double);
                    480: int __isinff(float);
                    481: int __isinfl(long double);
                    482: int __isnan(double);
                    483: int __isnanf(float);
                    484: int __isnanl(long double);
                    485: int __isnormal(double);
                    486: int __isnormalf(float);
                    487: int __isnormall(long double);
                    488: int __signbit(double);
                    489: int __signbitf(float);
                    490: int __signbitl(long double);
1.16      martynas  491:
                    492: #if __BSD_VISIBLE && defined(__vax__)
1.25      martynas  493: double infnan(int);
1.16      martynas  494: #endif /* __BSD_VISIBLE && defined(__vax__) */
1.1       deraadt   495: __END_DECLS
                    496:
1.18      martynas  497: #endif /* !_MATH_H_ */