Built in Functions

In addition to the functions defined by the built-in operators, the following functions are available:

Functions that take > 1 parameter

• sum() - returns a sum of the passed parameters
• count() - returns the number of passed parameters
• min() - returns the minimum of the passed parameters
• max() - returns the maximum of the passed parameters
• median() - returns the median of the passed parameters
• stddev() - returns the standard deviation of the passed parameters
• average() - returns the average of the passed parameters
• random() - returns a random integer. Can take 0, 1, or 2 parameters. The first parameter (if given) is the lower bound of the random integer. The second parameter (if given) is the upper bound of the random integer.
• nthroot() - returns the n^th root of a number. For example, nthroot(27,3) returns the cube root of 27, or 3.

Functions that take 1 parameter:

• sqrt() - returns the square root of the passed parameter

• log() - returns the base 10 log of the passed parameter

• ln() - returns the base e log of the passed parameter

• log2() - returns the base 2 log of the passed parameter

• exp() - returns e raised to the power of the passed parameter

• ceil() - returns the passed parameter rounded up

• floor() - returns the passed parameter rounded down

• The trigonometric functions:

• sin(), cos(), tan()

• Their inverses (asin, acos, atan)

• Their reciprocals (csc, sec, cotan)

• The reciprocals of the inverses (acsc, asec, acotan)

• The hyperbolic variations of all the above functions (sinh, cosh, tanh, asinh, acosh, atanh, csch, sech, cotanh, acsch, asech, acotanh)

• The versine functions (versin, vercosin, coversin, covercosin, haversin, havercosin, hacoversin, hacovercosin, exsec, excsc, crd)

• dtor() - converts the passed parameter from degrees to radians

• rtod() - converts the passed parameter from radians to degrees

Functions that take no parameters ("constant functions"):

• phi() - returns the value of ϕ (the Golden Ratio). Also recognized as ϕ()
• pi() - returns the value of π. Also recognized as π()
• pi_2() - returns the value of π/2
• pi_4() - returns the value of π/4
• tau() - returns the value of τ. Also recognized as τ()
• sqrt2() - returns the value of the square root of 2
• e() - returns the value of e
• log2e() - returns the value of the log base 2 of e
• log10e() - returns the value of the log base 10 of e
• ln2() - returns the value of the log base e of 2
• ln10() - returns the value of the log base e of 10

Aliases

Functions can also have aliases. For example, the following are equivalent:

average(1,2,3)
avg(1,2,3)
mean(1,2,3)

You can create your own aliases as well. If "hacoversin" is too long to type for you, feel free to do:

[[DDMathEvaluator sharedMathEvaluator] addAlias:@"hcvs" forFunctionName:@"hacoversin"];