Formulas: Numerical functions
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Numerical functions
The numerical functions available in the Formulas question type are listed in the table below:
| Function | Definition |
|---|---|
| No argument | |
| pi() | Value of π (=3.14159...) |
| One argument | |
| abs(x) | Absolute value |
| acos(x) | Arccosine (in radians) acos(x) returns a numeric value between 0 and π radians for x between -1 and 1, otherwise NAN Examples: acos(-2) = NAN acos(-1) = 3.1415926535898 acos(0) = 1.5707963267949 acos(0.5) = 1.0471975511966 acos(1) = 0 acos(2) = NAN |
| acosh(x) | Inverse hyperbolic cosine |
| asin(x) | Arcsine (in radians) |
| asinh(x) | Inverse hyperbolic sine |
| atan(x) | Arctangent (in radians) |
| atanh(x) | Inverse hyperbolic tangent |
| ceil(x) | Ceiling function ceil(x) = ⌈x⌉ is the smallest integer greater or equal to x |
| cos(x) | Cosine of a value given in radians |
| cosh() | Hyperbolic cosine |
| deg2rad() | Converts a degree value to a radian value |
| exp(x) | Exponential function exp(x) = ex where (= 2.71828...) is the base of the natural logarithm |
| expm1(x) | |
| fact(x) | Factorial of x. Gives the numerical value up to fact(170) and INF thereafter. See examples. |
| floor(x) | Floor function floor(x) = ⌊x⌋ is the largest integer less than or equal to x |
| is_finite(x) | |
| is_infinite(x) | |
| is_nan(x) | |
| log(x) | |
| log10x() | |
| log1px() | |
| rad2deg(x) | Converts a radian value to a degree value |
| round(x) | Rounds a value to the nearest integer |
| sin(x) | Sine of a value given in radians |
| sinh(x) | Hyperbolic sine |
| sqrt(x) | Square root |
| tan(x) | Tangent of a value given in radians |
| tanh(x) | Hyperbolic tangent |
| Two arguments | |
| atan2(y,x) | |
| fmod(x,y) | |
| log(x,base) | |
| pow(x,y) | The base x taken to the exponent y pow(x,y) = xy |
| round(x,precision) | |
| Several arguments | |
| min(x1,x2,...) | Returns the lowest value |
| max(x1,x2,...) | Returns the highest value |
Note that the functions used in the variable assignments is (almost) a superset of the functions used in the algebraic formulas.
