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Operators
Arithmetic Operators
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+
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Addition
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-
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Subtraction
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*
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Multiplication
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/
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Division
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Relational Operators
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>
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Greater than
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<
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Less than
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>=
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Greater than or equal
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<=
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Less than or equal
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==
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Equal to
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!=
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Not equal to
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Logical Operators
Bitwise operators
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Or
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&
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And
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^
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Exclusive or
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~
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Not
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Special Operators
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=
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Assignment operator.
Propagates value to the left, can be concatenated (e.g. a=b=c=0)
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,
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Separates
subexpressions. Result of the combined expression is the result of the rightmost expression
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Ex1 ? Ex2 : Ex3
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Conditional evaluation. If (Ex1 !=0) then return Ex2, else return Ex3
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Unary Functions
Functions which take one argument. In the following list this argument is called a.
Standard Functions
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abs
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Returns the absolute value of the argument
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floor
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Returns the largest integer <= a
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ceil
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Returns the smallest integer >= a
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sin
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Sine
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cos
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Cosine
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tan
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Tangent
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asin
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Arcsine
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acos
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Arccosine
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atan
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Arctangent
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exp
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Exponential
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log
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Natural logarithm
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pow10
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10 raised to the power of a
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log10
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Decadic logarithm
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square
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a * a
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sqrt
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Square root
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si
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sin(a) / a
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inv
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1 / a
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Hyperbolic Functions
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sinh
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Hyperbolic sine
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cosh
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Hyperbolic cosine
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tanh
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Hyperbolic tangent
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coth
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Hyperbolic cotangent
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sech
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Hyperbolic secans
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cosech
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Hyperbolic cosecans
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arsinh
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Inverse hyperbolic sine
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arcosh
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Inverse hyperbolic cosine
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artanh
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Inverse hyperbolic tangent
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arcoth
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Inverse hyperbolic cotangent
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Special Functions
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fac
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Factorial
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gamma
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Gamma function
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erf
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Gaussian error function
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srand
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Sets seed for rand
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Binary Functions
Functions which take two arguments. In the following list these argument are called a and b.
Standard Functions
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pow
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a raised to the power of b
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root
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a-th root of b
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mod
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a modulo b
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Special Functions
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binom
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The binomial coefficient
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beta
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Beta function
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rand
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Random number between a and b
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Functions with a variable number of arguments
In the following list these argument are called a,b, etc. Ellipses (...) symbolize an arbitrary number of
arguments, which follow the required arguments.
Examples:
... symbolizes a variable argument list with zero or more arguments.
a,... symbolizes a variable argument list with one required argument.
a,b,... symbolizes a variable argument list with two required argument.
In the following list the number of required arguments is given in parentheses.
Standard Functions
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max (2)
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The largest number in a,b,...
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min (2)
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The smallest number in a,b,...
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sum (1)
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a + b + c + ...
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mean (1)
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Average sum (a,b,c,...) / N
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poly (2)
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Polynomial a + b*x + c*x^2 + d*x^3 + ...
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Special Functions
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stat (1)
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Variance E( (X- E(X)) ^2)
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std (1)
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Standard deviation
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Functions which take a function name as an argument
The signature of the following functions is a,b,F where F is the name of a unary function.
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integrate
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Integral of F() in [a,b]
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solve
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Find roots of equation F()=0 in [a,b]
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minimize
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Find minimum of F() in [a,b]
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maximize
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Find maximum of F() in [a,b]
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