Standard library header – cppreference.com

namespace

std

{

using

float_t

=

/* see description */

;

using

double_t

=

/* see description */

;

}

 

#define HUGE_VAL /* see description */

#define HUGE_VALF /* see description */

#define HUGE_VALL /* see description */

#define INFINITY /* see description */

#define NAN /* see description */

#define FP_INFINITE /* see description */

#define FP_NAN /* see description */

#define FP_NORMAL /* see description */

#define FP_SUBNORMAL /* see description */

#define FP_ZERO /* see description */

#define FP_FAST_FMA /* see description */

#define FP_FAST_FMAF /* see description */

#define FP_FAST_FMAL /* see description */

#define FP_ILOGB0 /* see description */

#define FP_ILOGBNAN /* see description */

#define MATH_ERRNO /* see description */

#define MATH_ERREXCEPT /* see description */

 

#define math_errhandling /* see description */

 

namespace

std

{

float

acos

(

float

x

)

;

double

acos

(

double

x

)

;

long

double

acos

(

long

double

x

)

;

float

acosf

(

float

x

)

;

long

double

acosl

(

long

double

x

)

;

 

float

asin

(

float

x

)

;

double

asin

(

double

x

)

;

long

double

asin

(

long

double

x

)

;

float

asinf

(

float

x

)

;

long

double

asinl

(

long

double

x

)

;

 

float

atan

(

float

x

)

;

double

atan

(

double

x

)

;

long

double

atan

(

long

double

x

)

;

float

atanf

(

float

x

)

;

long

double

atanl

(

long

double

x

)

;

 

float

atan2

(

float

y,

float

x

)

;

double

atan2

(

double

y,

double

x

)

;

long

double

atan2

(

long

double

y,

long

double

x

)

;

float

atan2f

(

float

y,

float

x

)

;

long

double

atan2l

(

long

double

y,

long

double

x

)

;

 

float

cos

(

float

x

)

;

double

cos

(

double

x

)

;

long

double

cos

(

long

double

x

)

;

float

cosf

(

float

x

)

;

long

double

cosl

(

long

double

x

)

;

 

float

sin

(

float

x

)

;

double

sin

(

double

x

)

;

long

double

sin

(

long

double

x

)

;

float

sinf

(

float

x

)

;

long

double

sinl

(

long

double

x

)

;

 

float

tan

(

float

x

)

;

double

tan

(

double

x

)

;

long

double

tan

(

long

double

x

)

;

float

tanf

(

float

x

)

;

long

double

tanl

(

long

double

x

)

;

 

float

acosh

(

float

x

)

;

double

acosh

(

double

x

)

;

long

double

acosh

(

long

double

x

)

;

float

acoshf

(

float

x

)

;

long

double

acoshl

(

long

double

x

)

;

 

float

asinh

(

float

x

)

;

double

asinh

(

double

x

)

;

long

double

asinh

(

long

double

x

)

;

float

asinhf

(

float

x

)

;

long

double

asinhl

(

long

double

x

)

;

 

float

atanh

(

float

x

)

;

double

atanh

(

double

x

)

;

long

double

atanh

(

long

double

x

)

;

float

atanhf

(

float

x

)

;

long

double

atanhl

(

long

double

x

)

;

 

float

cosh

(

float

x

)

;

double

cosh

(

double

x

)

;

long

double

cosh

(

long

double

x

)

;

float

coshf

(

float

x

)

;

long

double

coshl

(

long

double

x

)

;

 

float

sinh

(

float

x

)

;

double

sinh

(

double

x

)

;

long

double

sinh

(

long

double

x

)

;

float

sinhf

(

float

x

)

;

long

double

sinhl

(

long

double

x

)

;

 

float

tanh

(

float

x

)

;

double

tanh

(

double

x

)

;

long

double

tanh

(

long

double

x

)

;

float

tanhf

(

float

x

)

;

long

double

tanhl

(

long

double

x

)

;

 

float

exp

(

float

x

)

;

double

exp

(

double

x

)

;

long

double

exp

(

long

double

x

)

;

float

expf

(

float

x

)

;

long

double

expl

(

long

double

x

)

;

 

float

exp2

(

float

x

)

;

double

exp2

(

double

x

)

;

long

double

exp2

(

long

double

x

)

;

float

exp2f

(

float

x

)

;

long

double

exp2l

(

long

double

x

)

;

 

float

expm1

(

float

x

)

;

double

expm1

(

double

x

)

;

long

double

expm1

(

long

double

x

)

;

float

expm1f

(

float

x

)

;

long

double

expm1l

(

long

double

x

)

;

 

constexpr

float

frexp

(

float

value,

int

*

exp

)

;

constexpr

double

frexp

(

double

value,

int

*

exp

)

;

constexpr

long

double

frexp

(

long

double

value,

int

*

exp

)

;

constexpr

float

frexpf

(

float

value,

int

*

exp

)

;

constexpr

long

double

frexpl

(

long

double

value,

int

*

exp

)

;

 

constexpr

int

ilogb

(

float

x

)

;

constexpr

int

ilogb

(

double

x

)

;

constexpr

int

ilogb

(

long

double

x

)

;

constexpr

int

ilogbf

(

float

x

)

;

constexpr

int

ilogbl

(

long

double

x

)

;

 

constexpr

float

ldexp

(

float

x,

int

exp

)

;

constexpr

double

ldexp

(

double

x,

int

exp

)

;

constexpr

long

double

ldexp

(

long

double

x,

int

exp

)

;

constexpr

float

ldexpf

(

float

x,

int

exp

)

;

constexpr

long

double

ldexpl

(

long

double

x,

int

exp

)

;

 

float

log

(

float

x

)

;

double

log

(

double

x

)

;

long

double

log

(

long

double

x

)

;

float

logf

(

float

x

)

;

long

double

logl

(

long

double

x

)

;

 

float

log10

(

float

x

)

;

double

log10

(

double

x

)

;

long

double

log10

(

long

double

x

)

;

float

log10f

(

float

x

)

;

long

double

log10l

(

long

double

x

)

;

 

float

log1p

(

float

x

)

;

double

log1p

(

double

x

)

;

long

double

log1p

(

long

double

x

)

;

float

log1pf

(

float

x

)

;

long

double

log1pl

(

long

double

x

)

;

 

float

log2

(

float

x

)

;

double

log2

(

double

x

)

;

long

double

log2

(

long

double

x

)

;

float

log2f

(

float

x

)

;

long

double

log2l

(

long

double

x

)

;

 

constexpr

float

logb

(

float

x

)

;

constexpr

double

logb

(

double

x

)

;

constexpr

long

double

logb

(

long

double

x

)

;

constexpr

float

logbf

(

float

x

)

;

constexpr

long

double

logbl

(

long

double

x

)

;

 

constexpr

float

modf

(

float

value,

float

*

iptr

)

;

constexpr

double

modf

(

double

value,

double

*

iptr

)

;

constexpr

long

double

modf

(

long

double

value,

long

double

*

iptr

)

;

constexpr

float

modff

(

float

value,

float

*

iptr

)

;

constexpr

long

double

modfl

(

long

double

value,

long

double

*

iptr

)

;

 

constexpr

float

scalbn

(

float

x,

int

n

)

;

constexpr

double

scalbn

(

double

x,

int

n

)

;

constexpr

long

double

scalbn

(

long

double

x,

int

n

)

;

constexpr

float

scalbnf

(

float

x,

int

n

)

;

constexpr

long

double

scalbnl

(

long

double

x,

int

n

)

;

 

constexpr

float

scalbln

(

float

x,

long

int

n

)

;

constexpr

double

scalbln

(

double

x,

long

int

n

)

;

constexpr

long

double

scalbln

(

long

double

x,

long

int

n

)

;

constexpr

float

scalblnf

(

float

x,

long

int

n

)

;

constexpr

long

double

scalblnl

(

long

double

x,

long

int

n

)

;

 

float

cbrt

(

float

x

)

;

double

cbrt

(

double

x

)

;

long

double

cbrt

(

long

double

x

)

;

float

cbrtf

(

float

x

)

;

long

double

cbrtl

(

long

double

x

)

;

 

// absolute values

constexpr

int

abs

(

int

j

)

;

constexpr

long

int

abs

(

long

int

j

)

;

constexpr

long

long

int

abs

(

long

long

int

j

)

;

constexpr

float

abs

(

float

j

)

;

constexpr

double

abs

(

double

j

)

;

constexpr

long

double

abs

(

long

double

j

)

;

 

constexpr

float

fabs

(

float

x

)

;

constexpr

double

fabs

(

double

x

)

;

constexpr

long

double

fabs

(

long

double

x

)

;

constexpr

float

fabsf

(

float

x

)

;

constexpr

long

double

fabsl

(

long

double

x

)

;

 

float

hypot

(

float

x,

float

y

)

;

double

hypot

(

double

x,

double

y

)

;

long

double

hypot

(

long

double

x,

long

double

y

)

;

float

hypotf

(

float

x,

float

y

)

;

long

double

hypotl

(

long

double

x,

long

double

y

)

;

 

// three-dimensional hypotenuse

float

hypot

(

float

x,

float

y,

float

z

)

;

double

hypot

(

double

x,

double

y,

double

z

)

;

long

double

hypot

(

long

double

x,

long

double

y,

long

double

z

)

;

 

float

pow

(

float

x,

float

y

)

;

double

pow

(

double

x,

double

y

)

;

long

double

pow

(

long

double

x,

long

double

y

)

;

float

powf

(

float

x,

float

y

)

;

long

double

powl

(

long

double

x,

long

double

y

)

;

 

float

sqrt

(

float

x

)

;

double

sqrt

(

double

x

)

;

long

double

sqrt

(

long

double

x

)

;

float

sqrtf

(

float

x

)

;

long

double

sqrtl

(

long

double

x

)

;

 

float

erf

(

float

x

)

;

double

erf

(

double

x

)

;

long

double

erf

(

long

double

x

)

;

float

erff

(

float

x

)

;

long

double

erfl

(

long

double

x

)

;

 

float

erfc

(

float

x

)

;

double

erfc

(

double

x

)

;

long

double

erfc

(

long

double

x

)

;

float

erfcf

(

float

x

)

;

long

double

erfcl

(

long

double

x

)

;

 

float

lgamma

(

float

x

)

;

double

lgamma

(

double

x

)

;

long

double

lgamma

(

long

double

x

)

;

float

lgammaf

(

float

x

)

;

long

double

lgammal

(

long

double

x

)

;

 

float

tgamma

(

float

x

)

;

double

tgamma

(

double

x

)

;

long

double

tgamma

(

long

double

x

)

;

float

tgammaf

(

float

x

)

;

long

double

tgammal

(

long

double

x

)

;

 

constexpr

float

ceil

(

float

x

)

;

constexpr

double

ceil

(

double

x

)

;

constexpr

long

double

ceil

(

long

double

x

)

;

constexpr

float

ceilf

(

float

x

)

;

constexpr

long

double

ceill

(

long

double

x

)

;

 

constexpr

float

floor

(

float

x

)

;

constexpr

double

floor

(

double

x

)

;

constexpr

long

double

floor

(

long

double

x

)

;

constexpr

float

floorf

(

float

x

)

;

constexpr

long

double

floorl

(

long

double

x

)

;

 

float

nearbyint

(

float

x

)

;

double

nearbyint

(

double

x

)

;

long

double

nearbyint

(

long

double

x

)

;

float

nearbyintf

(

float

x

)

;

long

double

nearbyintl

(

long

double

x

)

;

 

float

rint

(

float

x

)

;

double

rint

(

double

x

)

;

long

double

rint

(

long

double

x

)

;

float

rintf

(

float

x

)

;

long

double

rintl

(

long

double

x

)

;

 

long

int

lrint

(

float

x

)

;

long

int

lrint

(

double

x

)

;

long

int

lrint

(

long

double

x

)

;

long

int

lrintf

(

float

x

)

;

long

int

lrintl

(

long

double

x

)

;

 

long

long

int

llrint

(

float

x

)

;

long

long

int

llrint

(

double

x

)

;

long

long

int

llrint

(

long

double

x

)

;

long

long

int

llrintf

(

float

x

)

;

long

long

int

llrintl

(

long

double

x

)

;

 

constexpr

float

round

(

float

x

)

;

constexpr

double

round

(

double

x

)

;

constexpr

long

double

round

(

long

double

x

)

;

constexpr

float

roundf

(

float

x

)

;

constexpr

long

double

roundl

(

long

double

x

)

;

 

constexpr

long

int

lround

(

float

x

)

;

constexpr

long

int

lround

(

double

x

)

;

constexpr

long

int

lround

(

long

double

x

)

;

constexpr

long

int

lroundf

(

float

x

)

;

constexpr

long

int

lroundl

(

long

double

x

)

;

 

constexpr

long

long

int

llround

(

float

x

)

;

constexpr

long

long

int

llround

(

double

x

)

;

constexpr

long

long

int

llround

(

long

double

x

)

;

constexpr

long

long

int

llroundf

(

float

x

)

;

constexpr

long

long

int

llroundl

(

long

double

x

)

;

 

constexpr

float

trunc

(

float

x

)

;

constexpr

double

trunc

(

double

x

)

;

constexpr

long

double

trunc

(

long

double

x

)

;

constexpr

float

truncf

(

float

x

)

;

constexpr

long

double

truncl

(

long

double

x

)

;

 

constexpr

float

fmod

(

float

x,

float

y

)

;

constexpr

double

fmod

(

double

x,

double

y

)

;

constexpr

long

double

fmod

(

long

double

x,

long

double

y

)

;

constexpr

float

fmodf

(

float

x,

float

y

)

;

constexpr

long

double

fmodl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

remainder

(

float

x,

float

y

)

;

constexpr

double

remainder

(

double

x,

double

y

)

;

constexpr

long

double

remainder

(

long

double

x,

long

double

y

)

;

constexpr

float

remainderf

(

float

x,

float

y

)

;

constexpr

long

double

remainderl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

remquo

(

float

x,

float

y,

int

*

quo

)

;

constexpr

double

remquo

(

double

x,

double

y,

int

*

quo

)

;

constexpr

long

double

remquo

(

long

double

x,

long

double

y,

int

*

quo

)

;

constexpr

float

remquof

(

float

x,

float

y,

int

*

quo

)

;

constexpr

long

double

remquol

(

long

double

x,

long

double

y,

int

*

quo

)

;

 

constexpr

float

copysign

(

float

x,

float

y

)

;

constexpr

double

copysign

(

double

x,

double

y

)

;

constexpr

long

double

copysign

(

long

double

x,

long

double

y

)

;

constexpr

float

copysignf

(

float

x,

float

y

)

;

constexpr

long

double

copysignl

(

long

double

x,

long

double

y

)

;

 

double

nan

(

const

char

*

tagp

)

;

float

nanf

(

const

char

*

tagp

)

;

long

double

nanl

(

const

char

*

tagp

)

;

 

constexpr

float

nextafter

(

float

x,

float

y

)

;

constexpr

double

nextafter

(

double

x,

double

y

)

;

constexpr

long

double

nextafter

(

long

double

x,

long

double

y

)

;

constexpr

float

nextafterf

(

float

x,

float

y

)

;

constexpr

long

double

nextafterl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

nexttoward

(

float

x,

long

double

y

)

;

constexpr

double

nexttoward

(

double

x,

long

double

y

)

;

constexpr

long

double

nexttoward

(

long

double

x,

long

double

y

)

;

constexpr

float

nexttowardf

(

float

x,

long

double

y

)

;

constexpr

long

double

nexttowardl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

fdim

(

float

x,

float

y

)

;

constexpr

double

fdim

(

double

x,

double

y

)

;

constexpr

long

double

fdim

(

long

double

x,

long

double

y

)

;

constexpr

float

fdimf

(

float

x,

float

y

)

;

constexpr

long

double

fdiml

(

long

double

x,

long

double

y

)

;

 

constexpr

float

fmax

(

float

x,

float

y

)

;

constexpr

double

fmax

(

double

x,

double

y

)

;

constexpr

long

double

fmax

(

long

double

x,

long

double

y

)

;

constexpr

float

fmaxf

(

float

x,

float

y

)

;

constexpr

long

double

fmaxl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

fmin

(

float

x,

float

y

)

;

constexpr

double

fmin

(

double

x,

double

y

)

;

constexpr

long

double

fmin

(

long

double

x,

long

double

y

)

;

constexpr

float

fminf

(

float

x,

float

y

)

;

constexpr

long

double

fminl

(

long

double

x,

long

double

y

)

;

 

constexpr

float

fma

(

float

x,

float

y,

float

z

)

;

constexpr

double

fma

(

double

x,

double

y,

double

z

)

;

constexpr

long

double

fma

(

long

double

x,

long

double

y,

long

double

z

)

;

constexpr

float

fmaf

(

float

x,

float

y,

float

z

)

;

constexpr

long

double

fmal

(

long

double

x,

long

double

y,

long

double

z

)

;

 

// linear interpolation

constexpr

float

lerp

(

float

a,

float

b,

float

t

)

noexcept

;

constexpr

double

lerp

(

double

a,

double

b,

double

t

)

noexcept

;

constexpr

long

double

lerp

(

long

double

a,

long

double

b,

long

double

t

)

noexcept

;

 

// classification / comparison functions

constexpr

int

fpclassify

(

float

x

)

;

constexpr

int

fpclassify

(

double

x

)

;

constexpr

int

fpclassify

(

long

double

x

)

;

 

constexpr

bool

isfinite

(

float

x

)

;

constexpr

bool

isfinite

(

double

x

)

;

constexpr

bool

isfinite

(

long

double

x

)

;

 

constexpr

bool

isinf

(

float

x

)

;

constexpr

bool

isinf

(

double

x

)

;

constexpr

bool

isinf

(

long

double

x

)

;

 

constexpr

bool

isnan

(

float

x

)

;

constexpr

bool

isnan

(

double

x

)

;

constexpr

bool

isnan

(

long

double

x

)

;

 

constexpr

bool

isnormal

(

float

x

)

;

constexpr

bool

isnormal

(

double

x

)

;

constexpr

bool

isnormal

(

long

double

x

)

;

 

constexpr

bool

signbit

(

float

x

)

;

constexpr

bool

signbit

(

double

x

)

;

constexpr

bool

signbit

(

long

double

x

)

;

 

constexpr

bool

isgreater

(

float

x,

float

y

)

;

constexpr

bool

isgreater

(

double

x,

double

y

)

;

constexpr

bool

isgreater

(

long

double

x,

long

double

y

)

;

 

constexpr

bool

isgreaterequal

(

float

x,

float

y

)

;

constexpr

bool

isgreaterequal

(

double

x,

double

y

)

;

constexpr

bool

isgreaterequal

(

long

double

x,

long

double

y

)

;

 

constexpr

bool

isless

(

float

x,

float

y

)

;

constexpr

bool

isless

(

double

x,

double

y

)

;

constexpr

bool

isless

(

long

double

x,

long

double

y

)

;

 

constexpr

bool

islessequal

(

float

x,

float

y

)

;

constexpr

bool

islessequal

(

double

x,

double

y

)

;

constexpr

bool

islessequal

(

long

double

x,

long

double

y

)

;

 

constexpr

bool

islessgreater

(

float

x,

float

y

)

;

constexpr

bool

islessgreater

(

double

x,

double

y

)

;

constexpr

bool

islessgreater

(

long

double

x,

long

double

y

)

;

 

constexpr

bool

isunordered

(

float

x,

float

y

)

;

constexpr

bool

isunordered

(

double

x,

double

y

)

;

constexpr

bool

isunordered

(

long

double

x,

long

double

y

)

;

 

// mathematical special functions

 

// associated Laguerre polynomials

double

assoc_laguerre

(

unsigned

n,

unsigned

m,

double

x

)

;

float

assoc_laguerref

(

unsigned

n,

unsigned

m,

float

x

)

;

long

double

assoc_laguerrel

(

unsigned

n,

unsigned

m,

long

double

x

)

;

 

// associated Legendre functions

double

assoc_legendre

(

unsigned

l,

unsigned

m,

double

x

)

;

float

assoc_legendref

(

unsigned

l,

unsigned

m,

float

x

)

;

long

double

assoc_legendrel

(

unsigned

l,

unsigned

m,

long

double

x

)

;

 

// beta function

double

beta

(

double

x,

double

y

)

;

float

betaf

(

float

x,

float

y

)

;

long

double

betal

(

long

double

x,

long

double

y

)

;

 

// complete elliptic integral of the first kind

double

comp_ellint_1

(

double

k

)

;

float

comp_ellint_1f

(

float

k

)

;

long

double

comp_ellint_1l

(

long

double

k

)

;

 

// complete elliptic integral of the second kind

double

comp_ellint_2

(

double

k

)

;

float

comp_ellint_2f

(

float

k

)

;

long

double

comp_ellint_2l

(

long

double

k

)

;

 

// complete elliptic integral of the third kind

double

comp_ellint_3

(

double

k,

double

nu

)

;

float

comp_ellint_3f

(

float

k,

float

nu

)

;

long

double

comp_ellint_3l

(

long

double

k,

long

double

nu

)

;

 

// regular modified cylindrical Bessel functions

double

cyl_bessel_i

(

double

nu,

double

x

)

;

float

cyl_bessel_if

(

float

nu,

float

x

)

;

long

double

cyl_bessel_il

(

long

double

nu,

long

double

x

)

;

 

// cylindrical Bessel functions of the first kind

double

cyl_bessel_j

(

double

nu,

double

x

)

;

float

cyl_bessel_jf

(

float

nu,

float

x

)

;

long

double

cyl_bessel_jl

(

long

double

nu,

long

double

x

)

;

 

// irregular modified cylindrical Bessel functions

double

cyl_bessel_k

(

double

nu,

double

x

)

;

float

cyl_bessel_kf

(

float

nu,

float

x

)

;

long

double

cyl_bessel_kl

(

long

double

nu,

long

double

x

)

;

 

// cylindrical Neumann functions;

// cylindrical Bessel functions of the second kind

double

cyl_neumann

(

double

nu,

double

x

)

;

float

cyl_neumannf

(

float

nu,

float

x

)

;

long

double

cyl_neumannl

(

long

double

nu,

long

double

x

)

;

 

// incomplete elliptic integral of the first kind

double

ellint_1

(

double

k,

double

phi

)

;

float

ellint_1f

(

float

k,

float

phi

)

;

long

double

ellint_1l

(

long

double

k,

long

double

phi

)

;

 

// incomplete elliptic integral of the second kind

double

ellint_2

(

double

k,

double

phi

)

;

float

ellint_2f

(

float

k,

float

phi

)

;

long

double

ellint_2l

(

long

double

k,

long

double

phi

)

;

 

// incomplete elliptic integral of the third kind

double

ellint_3

(

double

k,

double

nu,

double

phi

)

;

float

ellint_3f

(

float

k,

float

nu,

float

phi

)

;

long

double

ellint_3l

(

long

double

k,

long

double

nu,

long

double

phi

)

;

 

// exponential integral

double

expint

(

double

x

)

;

float

expintf

(

float

x

)

;

long

double

expintl

(

long

double

x

)

;

 

// Hermite polynomials

double

hermite

(

unsigned

n,

double

x

)

;

float

hermitef

(

unsigned

n,

float

x

)

;

long

double

hermitel

(

unsigned

n,

long

double

x

)

;

 

// Laguerre polynomials

double

laguerre

(

unsigned

n,

double

x

)

;

float

laguerref

(

unsigned

n,

float

x

)

;

long

double

laguerrel

(

unsigned

n,

long

double

x

)

;

 

// Legendre polynomials

double

legendre

(

unsigned

l,

double

x

)

;

float

legendref

(

unsigned

l,

float

x

)

;

long

double

legendrel

(

unsigned

l,

long

double

x

)

;

 

// Riemann zeta function

double

riemann_zeta

(

double

x

)

;

float

riemann_zetaf

(

float

x

)

;

long

double

riemann_zetal

(

long

double

x

)

;

 

// spherical Bessel functions of the first kind

double

sph_bessel

(

unsigned

n,

double

x

)

;

float

sph_besself

(

unsigned

n,

float

x

)

;

long

double

sph_bessell

(

unsigned

n,

long

double

x

)

;

 

// spherical associated Legendre functions

double

sph_legendre

(

unsigned

l,

unsigned

m,

double

theta

)

;

float

sph_legendref

(

unsigned

l,

unsigned

m,

float

theta

)

;

long

double

sph_legendrel

(

unsigned

l,

unsigned

m,

long

double

theta

)

;

 

// spherical Neumann functions;

// spherical Bessel functions of the second kind

double

sph_neumann

(

unsigned

n,

double

x

)

;

float

sph_neumannf

(

unsigned

n,

float

x

)

;

long

double

sph_neumannl

(

unsigned

n,

long

double

x

)

;

}