Mathematical functions

Defined functions

Several mathematical functions are defined and can be used as right hand side values in assignments. All arguments are interpreted as floating point numbers.

Function	Description
all({a, b, ... , n})	Returns 1 if no arguments are 0. Otherwise returns 0. Arguments must be passed in braces.
any({a, b, ... , n})	Returns 1 if any arguments is not 0. Otherwise returns 0. Arguments must be passed in braces.
eq(a, b)	Returns 1 if a is equal to b. Otherwise returns 0.
ge(a, b)	Returns 1 if a is greater than or equal to b. Otherwise returns 0.
gt(a, b)	Returns 1 if a is greater than b. Otherwise returns 0.
indexMax({a, b, ... , n})	Returns the index of the greatest of the given arguments. Arguments must be passed in braces.
indexMin({a, b, ... , n})	Returns the index of the smallest of the given arguments. Arguments must be passed in braces.
le(a, b)	Returns 1 if a is less than or equal to b. Otherwise returns 0.
lt(a, b)	Returns 1 if a is less than b. Otherwise returns 0.
max(a, b)	Returns the greatest of a and b.
max({a, b, ... , n})	Returns the greatest of given arguments. Arguments must be passed in braces.
min(a, b)	Returns the smallest of a and b.
min({a, b, ... , n})	Returns the smallest of given arguments. Arguments must be passed in braces.
root(a, n)	Returns the nth root of a.
sign(a)	Returns 1 if a is positive, -1 if a is negative and 0 if a is 0.

Additional functions

All functions from the <cmath> header of the C++ standard library can also be used. The functions are called without providing the std:: namespace. For instance the following line will call the c++ function std::sin with the argument \(\pi \over 2\):

var = sin(CONSTANT_PI/2)

Examples of cmath functions

function	description
std::abs	Absolute value
std::fmod	Modulo operation
std::pow	Raise to exponent
std::sqrt	Square root
std::exp	Eulers number raised to exponent
std::log	Natural logarithm
std::log10	Common logarithm
std::cos	Cosine
std::sin	Sine
std::tan	Tangent
std::round	Round to closest integer
std::floor	Round down to closest integer
std::ceil	Round up to closest integer