# Functions

## Unary Functions

The following unary functions (=functions of one operand = f(x)) are built in:

Function | Definition |
---|---|

acos(x) | arc-cosine of (x) |

acosh(x) | hyperbolic arc-cosine of (x) |

ai(x) | Airy function AI on (x) |

asin(x) | arc-sine of (x) |

asinh(x) | hyperbolic arc-sine of (x) |

atan(x) | arc-tangent of (x) |

atanh(x) | hyperbolic arc-tangent of (x) |

cbrt(x) | cubic root of (x) |

cos(x) | cosine of (x) |

cosh(x) | hyperbolic tangent of (x) |

cot(x) | cotangent of (x) |

coth(x) | hyperbolic cotangent of (x) |

csc(x) | cosecant of (x) |

csch(x) | hyperbolic cosecant of (x) |

eint(x) | exponential integral of (x) |

erf(x) | error function on (x) |

erfc(x) | complementary error function on (x) |

exp(x) | exponential of (x) |

exp2(x) | 2 power of (x) |

exp10(x) | 10 power of (x) |

expm1(x) | exponential of (x-1) |

float(x) | cast (x) as float |

gamma(x) | Gamma function on (x) |

lngamma(x) | logarithm of the Gamma function of (x) |

digamma(x) | Digamma (Psi) function on (x) |

int(x) | cast (x) as integer |

j0(x) | first kind Bessel function of order 0 on (x) |

j1(x) | first kind Bessel function of order 1 on (x) |

li2(x) | dilogarithm of (x) |

log(x) | natural logarithm of (x) |

log2(x) | logarithm base 2 of (x) |

log10(x) | logarithm base 10 of (x) |

log1p(x) | logarithm of (1+x) |

sec(x) | secant of (x) |

sech(x) | hyperbolic secant of (x) |

sin(x) | sine of (x) |

sqrt(x) | square root of (x) |

sinh(x) | hyperbolic sine of (x) |

tan(x) | tangent of (x) |

tanh(x) | hyperbolic tangent of (x) |

y0(x) | second kind Bessel function of order 0 on (x) |

y1(x) | second kind Bessel function of order 1 on (x) |

zeta(x) | Riemann Zeta function on (x) |

## Binary Functions

The following binary functions (=functions of two operands = f(x,y)) are built in:

Function | Definition |
---|---|

gcd(x,y) | greatest common denominator of (x,y) |