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pbsSoftLogic User Manual 2014 Lua expression from programming in Lua 3ed written by Roberto ierusalimschy : Lua supports the usual arithmetic operators: the binary ‘+’ (addition), ‘-’ (subtraction),‘*’ (multiplication), ‘/’ (division), ‘^’ (exponentiation), ‘%’ (modulo), and the unary ‘-’ (negation). All of them operate on real numbers. For instance, x^0.5 computes the square root of x, while x^(-1/3) computes the inverse of its cubic root. The following rule defines the modulo operator: a % b == a - math.floor(a/b)*b For integer operands, it has the usual meaning, with the result always having the same sign as the second argument. For real operands, it has some extra uses. For instance, x%1 is the fractional part of x, and so x-x%1 is its integer part. Similarly, x-x%0.01 is x with exactly two decimal digits: x = math.pi print(x - x%0.01) --> 3.14 Lua provides the following relational operators: < > <= >= == ~= All these operators always produce a boolean value. The == operator tests for equality; the ~= operator is the negation of equality. We can apply both operators to any two values. If the values have different types, Lua considers them not equal. Otherwise, Lua compares them according to their types. Specifically, nil is equal only to itself. The logical operators are and, or, and not. Like control structures, all logical operators consider both the boolean false and nil as false, and anything else as true. The and operator returns its first argument if it is false; otherwise, it returns its second argument. The or operator returns its first argument if it is not false; otherwise, it returns its second argument: print(4 and 5) --> 5 print(nil and 13) --> nil print(false and 13) --> false print(4 or 5) --> 4 print(false or 5) --> 5 Both and and or use short-cut evaluation, that is, they evaluate their second operand only when necessary. Short-cut evaluation ensures that expressions like (type(v)=="table"and v.tag=="h1") do not cause run-time errors: Lua will not try to evaluate v.tag when v is not a table. A useful Lua idiom is x=x or v, which is equivalent to if not x then x = v end That is, it sets x to a default value v when x is not set (provided that x is not set to false). Another useful idiom is (a and b)or c, or simply a and b or c, because and has a higher precedence than or. It is equivalent to the C expression a?b:c, provided that b is not false. For instance, we can select the maximum of two numbers x and y with a statement like max = (x > y) and x or y When x>y, the first expression of the and is true, so the and results in its second expression (x), which is always true (because it is a number), and then the or expression results in the value of its first expression, x. When x>y is false, the and expression is false and so the or results in its second expression, y. The not operator always returns a boolean value: print(not nil) --> true print(not false) --> true print(not 0) --> false print(not not 1) --> true print(not not nil) --> false www.pbscontrol.com Page 99