Math

The system supports the usual basic arithmetic operators:

   x + y
   x - y
   -x
   x * y
   x / y
   x ^ y

Functions

abs(Number x)->Number y

Absolute value of x

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abs(Real x)->Real y

Absolute value of x

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abs(Integer x)->Integer y

Absolute value of x

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acos(Real x)->Real

Inverse cosine radians of x

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asin(Real x)->Real

Inverse sine radians of x

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atan(Real x)->Real

Inverse tangent radians of x

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atan2(Real y,Real x)->Real

The angle in radians between the positive x-axis of a plane and the point given by the coordinates (x, y) on it

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ceiling(Number x)->Integer y

The closest integer y >= x

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cos(Real x)->Real

Cosine of x radians

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div(Number x,Number y)->Number z

Divide number x with y, x / y

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divide(Integer x,Integer y)->(Integer q,Integer r)

Quotient q and remainder r when dividing x with y

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even(Number i)->Boolean

True if i is even integer

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exp(Real x)->Real

Natural exponent e^x

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floor(Number x)->Integer y

The closest integer y <= x

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frand(Real high)->Real

Real random number in interval [0,high)

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frand(Real low,Real high)->Real

Real random number in interval [low,high)

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integer(Number n)->Integer i

Truncate real number n to integer

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isinteger(Number x)->Boolean

Is x an integer?

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ln(Real x)->Real

Natural logarithm of x

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log10(Real x)->Real

The base 10 logarithm of x

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max(Object x,Object y)->Object

The largest of objects x and y

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min(Object x,Object y)->Object

The smallest of objects x and y

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minus(Number x,Number y)->Number z

Subtract y from x, x-y

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mod(Number x,Number y)->Number

Remainder when dividing x with y

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not(Vector of Integer v)->Vector of Integer

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not(Integer i)->Integer

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number(Object x)->Number

Cast x to number

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odd(Number i)->Boolean

True if i is odd integer

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pi()->Real

The constant PI

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plus(Number x,Number y)->Number r

Add x and y, x + y

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power(Real base,Real power)->Real

base^power and its inverse

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rand(Integer low,Integer high)->Integer

Integer random number in interval [low,high)

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rand(Integer high)->Integer

Integer random number in interval [0,high)

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rand_seed(Integer x)->Integer

New random seed

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range(Integer u)->Bag of Integer

Construct bag of integers between one and u

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range(Integer l,Integer u)->Bag of Integer

Construct bag of integers between l and u

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range(Integer l,Integer u,Integer s)->Bag of Integer

Constuct bag of integers between l and u with step s

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real(Number n)->Real

Make a real number of n

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round(Number x)->Integer

Round x to nearest integer

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roundto(Object o,Integer digits)->Literal

Round numeric values in o to digits significant decimals

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sign(Number x)->Integer

The signum of x

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sin(Real x)->Real

Sine of x radians

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sqrt(Real x)->Real r

The positive square root of x

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tan(Real x)->Real

Tangent of x radians

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times(Number x,Number y)->Number z

Multiply x with y, x * y

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uminus(Number x)->Number

Unary minus -x

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vrange(Integer u)->Vector of Integer

Construct vector of integers between one and u

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vrange(Integer l,Integer u,Integer s)->Vector of Integer

Constuct vector of integers between l and u with step s

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vrange(Integer l,Integer u)->Vector of Integer

Construct vector of integers between l and u