Constants, operators and functions for formulas in openLCA
When you add a formula in openLCA (e.g. in the amount cell of Inputs/Outputs tab) The formula interpreter allows you to use these constants, operators and functions.
Constants
| Constant | Description | Value |
|---|---|---|
| pi | the ratio of the circumference to the diameter of a circle | 3.141592653589793 |
| e | base of the natural system of logarithms | 2.718281828459045 |
Operators
| Precedence | Operator | Description | Example |
|---|---|---|---|
| 7 | - (unary) | negation | -1 #> -1 |
| 6 | ^ | exponentiation | 2^3 #> 8 |
| 5 | * | multiplication | 2*2 #> 4 |
| 5 | / | division | 2/2 #> 1 |
| 5 | div | integer division | 7 div 2 #> 3 |
| 5 | mod | modulus | 7 mod 2 #> 1 |
| 4 | + | addition | 1+1 #> 2 |
| 4 | - | subtraction | 1-1 #> 0 |
| 3 | = == | equal to | 1 = 1 #> true |
| 3 | <> != | not equal to | 1 <> 2 #> true |
| 3 | < | less than | 2 < 2 #> false |
| 3 | <= | less than or equal to | 2 <= 2 #> true |
| 3 | > | greater than | 3 > 2 #> true |
| 3 | >= | greater than or equal to | 3 >= 4 #> false |
| 2 | & && | logical and | true() & false() #> false |
| 1 | | || | logical or | true() | true() #> true |
Functions
| Function | Description | Example |
|---|---|---|
| abs(x) | the absolute value of x | abs(-1) #> 1 |
| acos(x) | arccos(x) the inverse cosine of x | acos(-1) #> 3.14159265 |
| and(x1;x2;...xn) | logical and | and(1<2;2>1) #> true |
| asin(x) | arcsin(x) the inverse sine of x | asin(-1) #> -1.57079633 |
| atan(x) | arctan(x) the inverse tangent of x | atan(-1) #> -0.785398163 |
| avg(x1;…;xN) | mean(x1;…;xN) the arithmetic mean of the given numbers | avg(1;2;3) #> 2 |
| ceil(x) | the smallest integer not less than x | ceil(2.2) #> 3 |
| cos(x) | the cosine of x | cos(0) #> 1 |
| cosh(x) | the hyperbolic cosine of x | cosh(0) #> 1 |
| cotan(x) | cot(x) the cotangent of x | cotan(pi/2) #> 0 |
| exp(x) | Euler’s number e raised to the power of x | exp(2) #> 7.38905609893065 |
| floor(x) | the largest integer not greater than x | floor(2.7) #> 2 |
| frac(x) | the fractional part of x | frac(2.7) #> 0.7 |
| if(b;x;y) | iff(b;x;y) iif(b;x;y) returns x if b evaluates to true, otherwise y is returned | if(1>2;1;2) #> 2 |
| ipower(x;y) | raises x to a power of y (y is an integer) | ipower(4;2) #> 16 |
| ln(x) | the natural logarithm (base e) of x | ln(7.38905609893065) #> 2 |
| lg(x) | log(x) the base 10 logarithm of x | lg(1000) #> 3 |
| max(x1;…;xN) | the maximum of the given numbers | max(1;2;3) #> 3 |
| min(x1;…;xN) | the minimum of the given numbers | min(1;2;3) #> 1 |
| not(b) | the logical complement of b | not(false) #> true |
| or(x1;x2;...;xn) | logical or | or(1<2;2<1) #> true |
| power(x;y) | pow(x;y) raises x to a power of y | power(4;2.2) #> 21.112126572366314 |
| random() | returns a random number between 0 and 1 | random() #> … |
| round(x) | rounds x to the nearest integer | round(2.5) #> 3 |
| sin(x) | the sine of x | sin(2*pi) #> 0 |
| sinh(x) | the hyperbolic sine of x | sinh(0) #> 0 |
| sqr(x) | the square of x | sqr(2) #> 4 |
| sqrt(x) | the square root of x | sqrt(4) #> 2 |
| tan(x) | the tangent of x | tan(pi/4) #> 1 |
| tanh(x) | the hyperbolic tangent of x | tanh(0.5) #> 0.46… |
| trunc(x) | int(x) the integer part of x | trunc(2.7) #> 2 |