root/trunk/tango/stdc/math.d

/**
 * D header file for C99.
 *
 * Copyright: Public Domain
 * License:   Public Domain
 * Authors:   Sean Kelly, Walter Bright
 * Standards: ISO/IEC 9899:1999 (E)
 */
module tango.stdc.math;

private import tango.stdc.config;

extern (C):

alias float  float_t;
alias double double_t;

const double HUGE_VAL      = double.infinity;
const double HUGE_VALF     = float.infinity;
const double HUGE_VALL     = real.infinity;

const float INFINITY       = float.infinity;
const float NAN            = float.nan;

const int FP_ILOGB0        = int.min;
const int FP_ILOGBNAN      = int.min;

const int MATH_ERRNO       = 1;
const int MATH_ERREXCEPT   = 2;
const int math_errhandling = MATH_ERRNO | MATH_ERREXCEPT;

version( none )
{
    //
    // these functions are all macros in C
    //

    //int fpclassify(real-floating x);
    int fpclassify(float x);
    int fpclassify(double x);
    int fpclassify(real x);

    //int isfinite(real-floating x);
    int isfinite(float x);
    int isfinite(double x);
    int isfinite(real x);

    //int isinf(real-floating x);
    int isinf(float x);
    int isinf(double x);
    int isinf(real x);

    //int isnan(real-floating x);
    int isnan(float x);
    int isnan(double x);
    int isnan(real x);

    //int isnormal(real-floating x);
    int isnormal(float x);
    int isnormal(double x);
    int isnormal(real x);

    //int signbit(real-floating x);
    int signbit(float x);
    int signbit(double x);
    int signbit(real x);

    //int isgreater(real-floating x, real-floating y);
    int isgreater(float x, float y);
    int isgreater(double x, double y);
    int isgreater(real x, real y);

    //int isgreaterequal(real-floating x, real-floating y);
    int isgreaterequal(float x, float y);
    int isgreaterequal(double x, double y);
    int isgreaterequal(real x, real y);

    //int isless(real-floating x, real-floating y);
    int isless(float x, float y);
    int isless(double x, double y);
    int isless(real x, real y);

    //int islessequal(real-floating x, real-floating y);
    int islessequal(float x, float y);
    int islessequal(double x, double y);
    int islessequal(real x, real y);

    //int islessgreater(real-floating x, real-floating y);
    int islessgreater(float x, float y);
    int islessgreater(double x, double y);
    int islessgreater(real x, real y);

    //int isunordered(real-floating x, real-floating y);
    int isunordered(float x, float y);
    int isunordered(double x, double y);
    int isunordered(real x, real y);
}

version( DigitalMars ) version( Win32 )
    version = DigitalMarsWin32;

version( DigitalMarsWin32 )
{
    enum
    {
        FP_NANS        = 0,
        FP_NANQ        = 1,
        FP_INFINITE    = 2,
        FP_NORMAL      = 3,
        FP_SUBNORMAL   = 4,
        FP_ZERO        = 5,
        FP_NAN         = FP_NANQ,
        FP_EMPTY       = 6,
        FP_UNSUPPORTED = 7,
    }

    enum
    {
        FP_FAST_FMA  = 0,
        FP_FAST_FMAF = 0,
        FP_FAST_FMAL = 0,
    }

    uint __fpclassify_f(float x);
    uint __fpclassify_d(double x);
    uint __fpclassify_ld(real x);

  extern (D)
  {
    //int fpclassify(real-floating x);
    int fpclassify(float x)     { return __fpclassify_f(x); }
    int fpclassify(double x)    { return __fpclassify_d(x); }
    int fpclassify(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __fpclassify_d(x)
            : __fpclassify_ld(x);
    }

    //int isfinite(real-floating x);
    int isfinite(float x)       { return fpclassify(x) >= FP_NORMAL; }
    int isfinite(double x)      { return fpclassify(x) >= FP_NORMAL; }
    int isfinite(real x)        { return fpclassify(x) >= FP_NORMAL; }

    //int isinf(real-floating x);
    int isinf(float x)          { return fpclassify(x) == FP_INFINITE; }
    int isinf(double x)         { return fpclassify(x) == FP_INFINITE; }
    int isinf(real x)           { return fpclassify(x) == FP_INFINITE; }

    //int isnan(real-floating x);
    int isnan(float x)          { return fpclassify(x) <= FP_NANQ;   }
    int isnan(double x)         { return fpclassify(x) <= FP_NANQ;   }
    int isnan(real x)           { return fpclassify(x) <= FP_NANQ;   }

    //int isnormal(real-floating x);
    int isnormal(float x)       { return fpclassify(x) == FP_NORMAL; }
    int isnormal(double x)      { return fpclassify(x) == FP_NORMAL; }
    int isnormal(real x)        { return fpclassify(x) == FP_NORMAL; }

    //int signbit(real-floating x);
    int signbit(float x)     { return (cast(short*)&(x))[1] & 0x8000; }
    int signbit(double x)    { return (cast(short*)&(x))[3] & 0x8000; }
    int signbit(real x)
    {
        return (real.sizeof == double.sizeof)
            ? (cast(short*)&(x))[3] & 0x8000
            : (cast(short*)&(x))[4] & 0x8000;
    }
  }
}
else version( linux )
{
    enum
    {
        FP_NAN,
        FP_INFINITE,
        FP_ZERO,
        FP_SUBNORMAL,
        FP_NORMAL,
    }

    enum
    {
        FP_FAST_FMA  = 0,
        FP_FAST_FMAF = 0,
        FP_FAST_FMAL = 0,
    }

    int __fpclassifyf(float x);
    int __fpclassify(double x);
    int __fpclassifyl(real x);

    int __finitef(float x);
    int __finite(double x);
    int __finitel(real x);

    int __isinff(float x);
    int __isinf(double x);
    int __isinfl(real x);

    int __isnanf(float x);
    int __isnan(double x);
    int __isnanl(real x);

    int __signbitf(float x);
    int __signbit(double x);
    int __signbitl(real x);

  extern (D)
  {
    //int fpclassify(real-floating x);
    int fpclassify(float x)     { return __fpclassifyf(x); }
    int fpclassify(double x)    { return __fpclassify(x);  }
    int fpclassify(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __fpclassify(x)
            : __fpclassifyl(x);
    }

    //int isfinite(real-floating x);
    int isfinite(float x)       { return __finitef(x); }
    int isfinite(double x)      { return __finite(x);  }
    int isfinite(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __finite(x)
            : __finitel(x);
    }

    //int isinf(real-floating x);
    int isinf(float x)          { return __isinff(x);  }
    int isinf(double x)         { return __isinf(x);   }
    int isinf(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __isinf(x)
            : __isinfl(x);
    }

    //int isnan(real-floating x);
    int isnan(float x)          { return __isnanf(x);  }
    int isnan(double x)         { return __isnan(x);   }
    int isnan(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __isnan(x)
            : __isnanl(x);
    }

    //int isnormal(real-floating x);
    int isnormal(float x)       { return fpclassify(x) == FP_NORMAL; }
    int isnormal(double x)      { return fpclassify(x) == FP_NORMAL; }
    int isnormal(real x)        { return fpclassify(x) == FP_NORMAL; }

    //int signbit(real-floating x);
    int signbit(float x)     { return __signbitf(x); }
    int signbit(double x)    { return __signbit(x);  }
    int signbit(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __signbit(x)
            : __signbitl(x);
    }
  }
}
else version( darwin )
{
    enum
    {
        FP_NAN         = 1,
        FP_INFINITE    = 2,
        FP_ZERO        = 3,
        FP_NORMAL      = 4,
        FP_SUBNORMAL   = 5,
        FP_SUPERNORMAL = 6
    }

    enum
    {
        FP_FAST_FMA  = 0,
        FP_FAST_FMAF = 0,
        FP_FAST_FMAL = 0,
    }

    int __fpclassifyf(float x);
    int __fpclassifyd(double x);
    int __fpclassify(real x);

    int __isfinitef(float x);
    int __isfinited(double x);
    int __isfinite(real x);

    int __isinff(float x);
    int __isinfd(double x);
    int __isinf(real x);

    int __isnanf(float x);
    int __isnand(double x);
    int __isnan(real x);

    int __signbitf(float x);
    int __signbitd(double x);
    int __signbitl(real x);

  extern (D)
  {
    //int fpclassify(real-floating x);
    int fpclassify(float x)     { return __fpclassifyf(x); }
    int fpclassify(double x)    { return __fpclassifyd(x); }
    int fpclassify(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __fpclassifyd(x)
            : __fpclassify(x);
    }

    //int isfinite(real-floating x);
    int isfinite(float x)       { return __isfinitef(x); }
    int isfinite(double x)      { return __isfinited(x); }
    int isfinite(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __isfinited(x)
            : __isfinite(x);
    }

    //int isinf(real-floating x);
    int isinf(float x)          { return __isinff(x); }
    int isinf(double x)         { return __isinfd(x); }
    int isinf(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __isinfd(x)
            : __isinf(x);
    }

    //int isnan(real-floating x);
    int isnan(float x)          { return __isnanf(x); }
    int isnan(double x)         { return __isnand(x); }
    int isnan(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __isnand(x)
            : __isnan(x);
    }

    //int isnormal(real-floating x);
    int isnormal(float x)       { return fpclassify(x) == FP_NORMAL; }
    int isnormal(double x)      { return fpclassify(x) == FP_NORMAL; }
    int isnormal(real x)        { return fpclassify(x) == FP_NORMAL; }

    //int signbit(real-floating x);
    int signbit(float x)     { return __signbitf(x); }
    int signbit(double x)    { return __signbitd(x); }
    int signbit(real x)
    {
        return (real.sizeof == double.sizeof)
            ? __signbitd(x)
            : __signbitl(x);
    }
  }
}
else version( freebsd )
{
    enum
    {
        FP_INFINITE = 0x01,
        FP_NAN = 0x02,
        FP_NORMAL = 0x04,
        FP_SUBNORMAL = 0x08,
        FP_ZERO = 0x10
    }

    enum
    {
        FP_FAST_FMA  = 0,
        FP_FAST_FMAF = 0,
        FP_FAST_FMAL = 0,
    }

    int __fpclassifyd(double);
    int __fpclassifyf(float);
    int __fpclassifyl(real);
    int __isfinitef(float);
    int __isfinite(double);
    int __isfinitel(real);
    int __isinff(float);
    int __isinfl(real);
    int __isnanl(real);
    int __isnormalf(float);
    int __isnormal(double);
    int __isnormall(real);
    int __signbit(double);
    int __signbitf(float);
    int __signbitl(real);

  extern (D)
  {
    //int fpclassify(real-floating x);
    int fpclassify(float x)     { return __fpclassifyf(x); }
    int fpclassify(double x)    { return __fpclassifyd(x); }
    int fpclassify(real x)    { return __fpclassifyl(x); }

    //int isfinite(real-floating x);
    int isfinite(float x)       { return __isfinitef(x); }
    int isfinite(double x)      { return __isfinite(x); }
    int isfinite(real x)      { return __isfinitel(x); }

    //int isinf(real-floating x);
    int isinf(float x)          { return __isinff(x); }
    int isinf(double x)         { return __isinfl(x); }
    int isinf(real x)         { return __isinfl(x); }

    //int isnan(real-floating x);
    int isnan(float x)          { return __isnanl(x); }
    int isnan(double x)         { return __isnanl(x); }
    int isnan(real x)         { return __isnanl(x); }

    //int isnormal(real-floating x);
    int isnormal(float x)       { return __isnormalf(x); }
    int isnormal(double x)      { return __isnormal(x); }
    int isnormal(real x)        { return __isnormall(x); }

    //int signbit(real-floating x);
    int signbit(float x)     { return __signbitf(x); }
    int signbit(double x)    { return __signbit(x); }
    int signbit(real x)    { return __signbit(x); }
    }
}

extern (D)
{
    //int isgreater(real-floating x, real-floating y);
    int isgreater(float x, float y)        { return !(x !>  y); }
    int isgreater(double x, double y)      { return !(x !>  y); }
    int isgreater(real x, real y)          { return !(x !>  y); }

    //int isgreaterequal(real-floating x, real-floating y);
    int isgreaterequal(float x, float y)   { return !(x !>= y); }
    int isgreaterequal(double x, double y) { return !(x !>= y); }
    int isgreaterequal(real x, real y)     { return !(x !>= y); }

    //int isless(real-floating x, real-floating y);
    int isless(float x, float y)           { return !(x !<  y); }
    int isless(double x, double y)         { return !(x !<  y); }
    int isless(real x, real y)             { return !(x !<  y); }

    //int islessequal(real-floating x, real-floating y);
    int islessequal(float x, float y)      { return !(x !<= y); }
    int islessequal(double x, double y)    { return !(x !<= y); }
    int islessequal(real x, real y)        { return !(x !<= y); }

    //int islessgreater(real-floating x, real-floating y);
    int islessgreater(float x, float y)    { return !(x !<> y); }
    int islessgreater(double x, double y)  { return !(x !<> y); }
    int islessgreater(real x, real y)      { return !(x !<> y); }

    //int isunordered(real-floating x, real-floating y);
    int isunordered(float x, float y)      { return (x !<>= y); }
    int isunordered(double x, double y)    { return (x !<>= y); }
    int isunordered(real x, real y)        { return (x !<>= y); }
}

// NOTE: freebsd < 8-CURRENT doesn't appear to support *l, but we can
//       approximate.
version( freebsd )
{
    double  acos(double x);
    float   acosf(float x);
    real    acosl(real x) { return acos(x); }

    double  asin(double x);
    float   asinf(float x);
    real    asinl(real x) { return asin(x); }

    double  atan(double x);
    float   atanf(float x);
    real    atanl(real x) { return atan(x); }

    double  atan2(double y, double x);
    float   atan2f(float y, float x);
    real    atan2l(real y, real x) { return atan2(y, x); }

    double  cos(double x);
    float   cosf(float x);
    real    cosl(real x) { return cos(x); }

    double  sin(double x);
    float   sinf(float x);
    real    sinl(real x) { return sin(x); }

    double  tan(double x);
    float   tanf(float x);
    real    tanl(real x) { return tan(x); }

    double  acosh(double x);
    float   acoshf(float x);
    real    acoshl(real x) { return acosh(x); }

    double  asinh(double x);
    float   asinhf(float x);
    real    asinhl(real x) { return asinh(x); }

    double  atanh(double x);
    float   atanhf(float x);
    real    atanhl(real x) { return atanh(x); }

    double  cosh(double x);
    float   coshf(float x);
    real    coshl(real x) { return cosh(x); }

    double  sinh(double x);
    float   sinhf(float x);
    real    sinhl(real x) { return sinh(x); }

    double  tanh(double x);
    float   tanhf(float x);
    real    tanhl(real x) { return tanh(x); }

    double  exp(double x);
    float   expf(float x);
    real    expl(real x) { return exp(x); }

    double  exp2(double x);
    float   exp2f(float x);
    real    exp2l(real x) { return exp2(x); }

    double  expm1(double x);
    float   expm1f(float x);
    real    expm1l(real x) { return expm1(x); }

    double  frexp(double value, int* exp);
    float   frexpf(float value, int* exp);
    real    frexpl(real value, int* exp) { return frexp(value, exp); }

    int     ilogb(double x);
    int     ilogbf(float x);
    int     ilogbl(real x) { return ilogb(x); }

    double  ldexp(double x, int exp);
    float   ldexpf(float x, int exp);
    real    ldexpl(real x, int exp) { return ldexp(x, exp); }

    double  log(double x);
    float   logf(float x);
    real    logl(real x) { return log(x); }

    double  log10(double x);
    float   log10f(float x);
    real    log10l(real x) { return log10(x); }

    double  log1p(double x);
    float   log1pf(float x);
    real    log1pl(real x) { return log1p(x); }

    private const real ONE_LN2 = 1 / 0x1.62e42fefa39ef358p-1L;
    double  log2(double x) { return log(x) * ONE_LN2; }
    float   log2f(float x) { return logf(x) * ONE_LN2; }
    real    log2l(real x) { return logl(x) * ONE_LN2; }

    double  logb(double x);
    float   logbf(float x);
    real    logbl(real x) { return logb(x); }

    double  modf(double value, double* iptr);
    float   modff(float value, float* iptr);
    //real    modfl(real value, real *iptr); // nontrivial conversion

    double  scalbn(double x, int n);
    float   scalbnf(float x, int n);
    real    scalbnl(real x, int n) { return scalbn(x, n); }

    double  scalbln(double x, c_long n);
    float   scalblnf(float x, c_long n);
    real    scalblnl(real x, c_long n) { return scalbln(x, n); }


    double  cbrt(double x);
    float   cbrtf(float x);
    real    cbrtl(real x) { return cbrt(x); }

    double  fabs(double x);
    float   fabsf(float x);
    real    fabsl(real x) { return fabs(x); }

    double  hypot(double x, double y);
    float   hypotf(float x, float y);
    real    hypotl(real x, real y) { return hypot(x, y); }

    double  pow(double x, double y);
    float   powf(float x, float y);
    real    powl(real x, real y) { return pow(x, y); }

    double  sqrt(double x);
    float   sqrtf(float x);
    real    sqrtl(real x) { return sqrt(x); }

    double  erf(double x);
    float   erff(float x);
    real    erfl(real x) { return erf(x); }

    double  erfc(double x);
    float   erfcf(float x);
    real    erfcl(real x) { return erfc(x); }

    double  lgamma(double x);
    float   lgammaf(float x);
    real    lgammal(real x) { return lgamma(x); }

    double  tgamma(double x);
    float   tgammaf(float x);
    real    tgammal(real x) { return tgamma(x); }

    double  ceil(double x);
    float   ceilf(float x);
    real    ceill(real x) { return ceil(x); }

    double  floor(double x);
    float   floorf(float x);
    real    floorl(real x) { return floor(x); }

    double  nearbyint(double x);
    float   nearbyintf(float x);
    real    nearbyintl(real x) { return nearbyint(x); }

    double  rint(double x);
    float   rintf(float x);
    real    rintl(real x) { return rint(x); }

    c_long  lrint(double x);
    c_long  lrintf(float x);
    c_long  lrintl(real x) { return lrint(x); }

    long    llrint(double x);
    long    llrintf(float x);
    long    llrintl(real x) { return llrint(x); }

    double  round(double x);
    float   roundf(float x);
    real    roundl(real x) { return round(x); }

    c_long  lround(double x);
    c_long  lroundf(float x);
    c_long  lroundl(real x) { return lround(x); }

    long    llround(double x);
    long    llroundf(float x);
    long    llroundl(real x) { return llround(x); }

    double  trunc(double x);
    float   truncf(float x);
    real    truncl(real x) { return trunc(x); }

    double  fmod(double x, double y);
    float   fmodf(float x, float y);
    real    fmodl(real x, real y) { return fmod(x, y); }

    double  remainder(double x, double y);
    float   remainderf(float x, float y);
    real    remainderl(real x, real y) { return remainder(x, y); }

    double  remquo(double x, double y, int* quo);
    float   remquof(float x, float y, int* quo);
    real    remquol(real x, real y, int* quo) { return remquo(x, y, quo); }

    double  copysign(double x, double y);
    float   copysignf(float x, float y);
    real    copysignl(real x, real y) { return copysign(x, y); }

//  double  nan(char* tagp);
//  float   nanf(char* tagp);
//  real    nanl(char* tagp);

    double  nextafter(double x, double y);
    float   nextafterf(float x, float y);
    real    nextafterl(real x, real y) { return nextafter(x, y); }

    double  nexttoward(double x, real y);
    float   nexttowardf(float x, real y);
    real    nexttowardl(real x, real y) { return nexttoward(x, y); }

    double  fdim(double x, double y);
    float   fdimf(float x, float y);
    real    fdiml(real x, real y) { return fdim(x, y); }

    double  fmax(double x, double y);
    float   fmaxf(float x, float y);
    real    fmaxl(real x, real y) { return fmax(x, y); }

    double  fmin(double x, double y);
    float   fminf(float x, float y);
    real    fminl(real x, real y) { return fmin(x, y); }

    double  fma(double x, double y, double z);
    float   fmaf(float x, float y, float z);
    real    fmal(real x, real y, real z) { return fma(x, y, z); }
}
else
{
    double  acos(double x);
    float   acosf(float x);
    real    acosl(real x);

    double  asin(double x);
    float   asinf(float x);
    real    asinl(real x);

    double  atan(double x);
    float   atanf(float x);
    real    atanl(real x);

    double  atan2(double y, double x);
    float   atan2f(float y, float x);
    real    atan2l(real y, real x);

    double  cos(double x);
    float   cosf(float x);
    real    cosl(real x);

    double  sin(double x);
    float   sinf(float x);
    real    sinl(real x);

    double  tan(double x);
    float   tanf(float x);
    real    tanl(real x);

    double  acosh(double x);
    float   acoshf(float x);
    real    acoshl(real x);

    double  asinh(double x);
    float   asinhf(float x);
    real    asinhl(real x);

    double  atanh(double x);
    float   atanhf(float x);
    real    atanhl(real x);

    double  cosh(double x);
    float   coshf(float x);
    real    coshl(real x);

    double  sinh(double x);
    float   sinhf(float x);
    real    sinhl(real x);

    double  tanh(double x);
    float   tanhf(float x);
    real    tanhl(real x);

    double  exp(double x);
    float   expf(float x);
    real    expl(real x);

    double  exp2(double x);
    float   exp2f(float x);
    real    exp2l(real x);

    double  expm1(double x);
    float   expm1f(float x);
    real    expm1l(real x);

    double  frexp(double value, int* exp);
    float   frexpf(float value, int* exp);
    real    frexpl(real value, int* exp);

    int     ilogb(double x);
    int     ilogbf(float x);
    int     ilogbl(real x);

    double  ldexp(double x, int exp);
    float   ldexpf(float x, int exp);
    real    ldexpl(real x, int exp);

    double  log(double x);
    float   logf(float x);
    real    logl(real x);

    double  log10(double x);
    float   log10f(float x);
    real    log10l(real x);

    double  log1p(double x);
    float   log1pf(float x);
    real    log1pl(real x);

    double  log2(double x);
    float   log2f(float x);
    real    log2l(real x);

    double  logb(double x);
    float   logbf(float x);
    real    logbl(real x);

    double  modf(double value, double* iptr);
    float   modff(float value, float* iptr);
    real    modfl(real value, real *iptr);

    double  scalbn(double x, int n);
    float   scalbnf(float x, int n);
    real    scalbnl(real x, int n);

    double  scalbln(double x, c_long n);
    float   scalblnf(float x, c_long n);
    real    scalblnl(real x, c_long n);

    double  cbrt(double x);
    float   cbrtf(float x);
    real    cbrtl(real x);

    double  fabs(double x);
    float   fabsf(float x);
    real    fabsl(real x);

    double  hypot(double x, double y);
    float   hypotf(float x, float y);
    real    hypotl(real x, real y);

    double  pow(double x, double y);
    float   powf(float x, float y);
    real    powl(real x, real y);

    double  sqrt(double x);
    float   sqrtf(float x);
    real    sqrtl(real x);

    double  erf(double x);
    float   erff(float x);
    real    erfl(real x);

    double  erfc(double x);
    float   erfcf(float x);
    real    erfcl(real x);

    double  lgamma(double x);
    float   lgammaf(float x);
    real    lgammal(real x);

    double  tgamma(double x);
    float   tgammaf(float x);
    real    tgammal(real x);

    double  ceil(double x);
    float   ceilf(float x);
    real    ceill(real x);

    double  floor(double x);
    float   floorf(float x);
    real    floorl(real x);

    double  nearbyint(double x);
    float   nearbyintf(float x);
    real    nearbyintl(real x);

    double  rint(double x);
    float   rintf(float x);
    real    rintl(real x);

    c_long  lrint(double x);
    c_long  lrintf(float x);
    c_long  lrintl(real x);

    long    llrint(double x);
    long    llrintf(float x);
    long    llrintl(real x);

    double  round(double x);
    float   roundf(float x);
    real    roundl(real x);

    c_long  lround(double x);
    c_long  lroundf(float x);
    c_long  lroundl(real x);

    long    llround(double x);
    long    llroundf(float x);
    long    llroundl(real x);

    double  trunc(double x);
    float   truncf(float x);
    real    truncl(real x);

    double  fmod(double x, double y);
    float   fmodf(float x, float y);
    real    fmodl(real x, real y);

    double  remainder(double x, double y);
    float   remainderf(float x, float y);
    real    remainderl(real x, real y);

    double  remquo(double x, double y, int* quo);
    float   remquof(float x, float y, int* quo);
    real    remquol(real x, real y, int* quo);

    double  copysign(double x, double y);
    float   copysignf(float x, float y);
    real    copysignl(real x, real y);

    double  nan(char* tagp);
    float   nanf(char* tagp);
    real    nanl(char* tagp);

    double  nextafter(double x, double y);
    float   nextafterf(float x, float y);
    real    nextafterl(real x, real y);

    double  nexttoward(double x, real y);
    float   nexttowardf(float x, real y);
    real    nexttowardl(real x, real y);

    double  fdim(double x, double y);
    float   fdimf(float x, float y);
    real    fdiml(real x, real y);

    double  fmax(double x, double y);
    float   fmaxf(float x, float y);
    real    fmaxl(real x, real y);

    double  fmin(double x, double y);
    float   fminf(float x, float y);
    real    fminl(real x, real y);

    double  fma(double x, double y, double z);
    float   fmaf(float x, float y, float z);
    real    fmal(real x, real y, real z);
}