Functions and Operations of TFunctionParser and TComplexParser

Here are the available functions and operations of TFunctionParser 7.7 and TComplexParser 3.2. Older versions may differ. Please refer to the respective documentation.

			TFunctionParser GraphicMaster ParserWeb	TComplexParser MHGS CompCalc
Adding:	x + y	adds x and y	X	X
Subtracting:	x - y	subtracts y from x	X	X
Multiplying:	x * y	multiplies x and y	X	X
	fac(n)	factorial of n, n!	X
Dividing:	x / y	divides x through y	X	X
	n div m n \ m	integer division	X
	rez(x)	reciprocal value of x	X	X
	n mod m n % m	integer modulo	X
	modulo(x;y)	rest of division x/y	X
Powers:	x ^ y	x to the power of y	X	X
	sqr(x)	square of x	X	X
	exp(x)	exponential of x	X	X
Roots:	sqrt(x)	squareroot of x	X	X
	cbrt(x)	cubic root of x	X
	root(n;x)	n-th root of x	X
Logarithms:	ln(x)	log. with base e of x	X	X
	lg(x)	log. with base 10 of x	X
	lb(x)	log. with base 2 of x	X
	log(b;x)	common log. with base b of x	X
Trigonometric Functions:	sin(x)	sine of x	X	X
	cos(x)	cosine of x	X	X
	tan(x)	tangent of x	X	X
	cot(x)	cotangent of x	X	X
	sec(x)	secans of x	X
	cosec(x)	cosecans of x	X
Arc Functions:	arcsin(x)	arc sine of x	X	X
	arccos(x)	arc cosine of x	X	X
	arctan(x)	arc tangent of x	X	X
	atan2(y;x)	arc tangent of y/x	X
	arccot(x)	arc cotangent of x	X	X
Hyperbolic Functions:	sinh(x)	hyperbolic sine of x	X	X
	cosh(x)	hyperbolic cosine of x	X	X
	tanh(x)	hyperbolic tangent of x	X	X
	coth(x)	hyperbolic cotangent of x	X	X
Area Functions:	arsinh(x)	inverse hyperbolic sine of x	X	X
	arcosh(x)	inverse hyperboloc cosine of x	X	X
	artanh(x)	inverse hyperbolic tangent of x	X	X
	arcoth(x)	inverse hyperbolic cotangent of x	X	X
Statistical Function:	gauss(x)	standardized normal distribution of x	X
	normdist(x;mu;sigma)	normal distribution of x with average mu and standard deviation sigma	(X)
	erf(x)	error function of x	X
	inverf(x)	inverse of error function of x	X
	n over k bino(n;k)	binomial coefficient n over k	X
	poisson(μ;n)	Poisson distribution of n with average μ	X
	poicum(μ;n)	cumulated Poisson distribution up to n with average μ	X
Random Numbers:	rnd(x)	random number in [0,x[	X
	rand(a;b)	random number in [a,b[	X
	poirand(μ)	Poisson distributed random numbers with average μ	X
	gaussrand(μ;σ)	Gaussian distributed random numbers with average μ and standard deviation σ	X
Bessel Functions:	J0(x)	0th order of x	X
	J1(x)	1st order of x	X
	J2(x)	2nd order of x	X
	J3(x)	3rd order of x	X
	J4(x)	4th order of x	X
	J5(x)	5th order of x	X
	J(n;x)	n-th order of x	X
Integral Functions:	Si(x)	sine integral of x	X
	Ci(x)	cosine integral of x	X
	Ei(x)	exponential integral of x	X
	li(x)	logarithm integral of x	X
Gammafunction:	gamma(x)	gamma function of x	X
Lambert W function:	w(x)	Lambert W function of x, AKA product logarithm, omega function	X
Stepfunctions:	theta(x)	=1 if x >0, else =0	X
	sgn(x)	signum function of x	X
	int(x)	integer part of x	X
	round(x)	x rounded to next integer value	X
	ceil(x)	x rounded to higher integer value	X
	floor(x)	x rounded to lower integer value	X
Periodical Functions:	triangle(x)	triangle waveform (period 2π)	X
	sawtooth(x)	sawtooth waveform (period 2π)	X
	square(x)	square waveform (period 2π)	X
Absolute Values:	abs(x)	absolute |x|	X	(X)
	cabs(x;y)	absolute |x+iy|	X
Miscellaneous:	frac(x)	non-integer part of x	X
	max(x;y)	maximum value of x and y	X
	min(x;y)	minimum value of x and y	X
	odd(n)	=1 if n is odd, =0 if n is even	X
	gcd(n;m)	greatest common divisor of n and m	X
	lcm(n;m)	least common multiple of n and m	X
	ramp(x;a;b)	=0 if x<a, =1 if x>b, else continuation between a and b	X
Bitwise and Logical Functions:	a and b a & b	bitwise logic AND	X
	a or b a | b	bitwise logic OR	X
	(a) xor (b)	bitwise logic XOR	X
	bnot(a)	bitwise NOT	X
	not(a) !a	logical NOT	X
	a shl b a << b	shifts a b bitpositions to the left	X
	a shr b a >> b	shifts a b bitpositions to the right	X
Relational Operators:	x = y	=1 if x is equal to y, else =0	X
	x < > y x != y	=1 if x is not equal to y, else =0	X
	x < = y	=1 if x is less or equal to y, else =0	X
	x < y	=1 if x is less than y, else =0	X
	x > = y	=1 if x is greater or equal to y, else =0	X
	x > y	=1 if x is greater than y, else =0	X
IF- Function:	if(c;x;y)	if condition c=1 then x, else if c=0 then y	X
Properties of complex numbers:	abs(z)	absolute |z|	(X)	X
	arg(z)	argument (phase) of z		X
	re(z)	real part of z		X
	im(z)	imaginary part of z		X
	CC(z) ~z	complex conjugate of z		X
Mathematical Constants:	pi	circumference/diameter of circle	X	X
	e	base of natural logarithms	X	X
	C	Euler's constant	X	X
	i	imaginary unit, sqrt(-1)		X
	TRUE	logical value 1.0	X
	FALSE	logical value 0.0	X
	INFINITY	symbolical value for ∞	X
	NEGINFINITY	symbolical value for -∞	X
	NaN	Not a Number (aborts evaluation)	X
Number Formats:	n	integer numbers	X	X
	x	floating point numbers	X	X
	z	complex numbers		X
	$n	hexadecimal numbers	X

Syntax

• Algebraic syntax, not case sensitive
• Parentheses ()
• Floating point numbers (IEEE format)
• Support of hexadecimal numbers