Appendix

There are a large number of built-in functions that you may use in the Interpreter. The formal parameters For some of these functions (identified with a C), the formal parameters accept complex numbers.

General purpose functions

Sin(x)

Calculates the sine of x

Cos(x)

Calculates the cosine of x

Tan(x)

Calculates the tangent of x

Atan(x)

Calculates the arc tangent of x

Exp(x) C

Calculates the exponential function

Ln(x) C

Calculates the natural logarithm of x, x>0

Sqr(x) C

Calculates the square of x

Sqrt(x) C

Calculates the positive square root of x

Abs(x) C

Calculates the absolute value of x

Sgn(x)

Sign function:

Re(x) C

Calculates the real part of x

Im(x) C

Calculates the imaginary part of x

Arc(x) C

Calculates the phase of x in radian

Sum(f(x))

Integral of f(x) in the [0..x] interval

Example:

Sum(sin(pi))=[2]

Integ(Expression(),Limit1,Limit2,)

Integral of Expression() in the [Limit1..Limit2] interval. The variable of integration is .

Example:

a)

Function Con(t);

Begin

Con := t;

End;

Integ(Con(t),0,1,t)=[0.5]

b)

The meaning of Integ(Con(t),0,x,t) is .

D(f(x))

Derivative of f(x) at x

Example:

D(sin(0))=[1]

Periodic(x,y)

Where y is the period value. The function transforms x into the [0..y] interval according to y.

Example:

Periodic(5.3,2)=[1.3]

Not(x)

Calculates the bitwise negation of x

RadToDeg(x)

Converts x, in radians to degrees

DegToRad(x)

Converts x, in degrees to radians

Special functions for electrical engineering applications

Calculation of parallel impedances

Replus(x,y)= C

Unit step

E(x)=

Calculation of a value in decibels

Db(x)= C