...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
namespace boost{ namespace math{ namespace tr1{ extern "C"{ typedef unspecified float_t; typedef unspecified double_t; double acosh(double x); float acoshf(float x); long double acoshl(long double x); double asinh(double x); float asinhf(float x); long double asinhl(long double x); double atanh(double x); float atanhf(float x); long double atanhl(long double x); double cbrt(double x); float cbrtf(float x); long double cbrtl(long double x); double copysign(double x, double y); float copysignf(float x, float y); long double copysignl(long double x, long double y); double erf(double x); float erff(float x); long double erfl(long double x); double erfc(double x); float erfcf(float x); long double erfcl(long double x); double expm1(double x); float expm1f(float x); long double expm1l(long double x); double fmax(double x, double y); float fmaxf(float x, float y); long double fmaxl(long double x, long double y); double fmin(double x, double y); float fminf(float x, float y); long double fminl(long double x, long double y); double hypot(double x, double y); float hypotf(float x, float y); long double hypotl(long double x, long double y); double lgamma(double x); float lgammaf(float x); long double lgammal(long double x); long long llround(double x); long long llroundf(float x); long long llroundl(long double x); double log1p(double x); float log1pf(float x); long double log1pl(long double x); long lround(double x); long lroundf(float x); long lroundl(long double x); double nextafter(double x, double y); float nextafterf(float x, float y); long double nextafterl(long double x, long double y); double nexttoward(double x, long double y); float nexttowardf(float x, long double y); long double nexttowardl(long double x, long double y); double round(double x); float roundf(float x); long double roundl(long double x); double tgamma(double x); float tgammaf(float x); long double tgammal(long double x); double trunc(double x); float truncf(float x); long double truncl(long double x); }}}} // namespaces
In addition sufficient additional overloads of the double
versions of the above functions are provided, so that calling the function
with any mixture of float
, double
, long
double
, or integer
arguments is supported, with the return type determined by the result
type calculation rules.
For example:
acoshf(2.0f); // float version, returns float. acosh(2.0f); // also calls the float version and returns float. acosh(2.0); // double version, returns double. acoshl(2.0L); // long double version, returns a long double. acosh(2.0L); // also calls the long double version. acosh(2); // integer argument is treated as a double, returns double.
More detailed descriptions of these functions are available in the C99 standard.
typedef unspecified float_t; typedef unspecified double_t;
In this implementation float_t
is the same as type float
, and
double_t
the same as type
double
unless the preprocessor
symbol FLT_EVAL_METHOD is defined, in which case these are set as follows:
FLT_EVAL_METHOD |
float_t |
double_t |
---|---|---|
0 |
float |
double |
1 |
double |
double |
2 |
long double |
long double |
double acosh(double x); float acoshf(float x); long double acoshl(long double x);
Returns the inverse hyperbolic cosine of x.
See also acosh for the full template (header only) version of this function.
double asinh(double x); float asinhf(float x); long double asinhl(long double x);
Returns the inverse hyperbolic sine of x.
See also asinh for the full template (header only) version of this function.
double atanh(double x); float atanhf(float x); long double atanhl(long double x);
Returns the inverse hyperbolic tangent of x.
See also atanh for the full template (header only) version of this function.
double cbrt(double x); float cbrtf(float x); long double cbrtl(long double x);
Returns the cubed root of x.
See also cbrt for the full template (header only) version of this function.
double copysign(double x, double y); float copysignf(float x, float y); long double copysignl(long double x, long double y);
Returns a value with the magnitude of x and the sign of y.
double erf(double x); float erff(float x); long double erfl(long double x);
Returns the error function of x:
See also erf for the full template (header only) version of this function.
double erfc(double x); float erfcf(float x); long double erfcl(long double x);
Returns the complementary error function of x 1-erf(x)
without the loss of precision implied by the subtraction.
See also erfc for the full template (header only) version of this function.
double expm1(double x); float expm1f(float x); long double expm1l(long double x);
Returns exp(x)-1
without the loss of precision implied by the subtraction.
See also expm1 for the full template (header only) version of this function.
double fmax(double x, double y); float fmaxf(float x, float y); long double fmaxl(long double x, long double y);
Returns the larger (most positive) of x and y.
double fmin(double x, double y); float fminf(float x, float y); long double fminl(long double x, long double y);
Returns the smaller (most negative) of x and y.
double hypot(double x, double y); float hypotf(float x, float y); long double hypotl(long double x, long double y);
Returns sqrt(x*x
+ y*y)
without the danger of numeric overflow implied by that formulation.
See also hypot for the full template (header only) version of this function.
double lgamma(double x); float lgammaf(float x); long double lgammal(long double x);
Returns the log of the gamma function of x.
See also lgamma for the full template (header only) version of this function.
long long llround(double x); long long llroundf(float x); long long llroundl(long double x);
Returns the value x rounded to the nearest integer as
a long long
:
equivalent to floor(x + 0.5)
See also round for the full template (header only) version of this function.
double log1p(double x); float log1pf(float x); long double log1pl(long double x);
Returns the log(x+1)
without the loss of precision implied by that
formulation.
See also log1p for the full template (header only) version of this function.
long lround(double x); long lroundf(float x); long lroundl(long double x);
Returns the value x rounded to the nearest integer as
a long
: equivalent to floor(x
+ 0.5)
See also round for the full template (header only) version of this function.
double nextafter(double x, double y); float nextafterf(float x, float y); long double nextafterl(long double x, long double y);
Returns the next representable floating point number after x
in the direction of y, or x if x == y
.
double nexttoward(double x, long double y); float nexttowardf(float x, long double y); long double nexttowardl(long double x, long double y);
As nextafter
, but with y
always expressed as a long double
.
double round(double x); float roundf(float x); long double roundl(long double x);
Returns the value x rounded to the nearest integer: equivalent
to floor(x + 0.5)
See also round for the full template (header only) version of this function.
double tgamma(double x); float tgammaf(float x); long double tgammal(long double x);
Returns the gamma function of x:
See also tgamma for the full template (header only) version of this function.
double trunc(double x); float truncf(float x); long double truncl(long double x);
Returns x truncated to the nearest integer.
See also trunc for the full template (header only) version of this function.
See also C99 ISO Standard