Skip to main content
TrueMath equations use the following operators. See Writing equations for the surrounding grammar.

​
Operators

​
Order of operations

TrueMath evaluates an expression in this order, from highest precedence to lowest:
  1. Exponentiation (^)
  2. Negation (-x)
  3. Multiplication and division (*, /)
  4. Addition and subtraction (+, -)
  5. Comparison (>, <, >=, <=, ==, !=)
  6. Logical (&&, \|\|, !)
  7. Assignment (=) — the lowest precedence, so the entire right-hand side is evaluated before it is assigned (x = a + b * c computes a + b * c, then assigns).
Functions like sqrt or pmt aren’t operators: a function call evaluates its arguments and resolves to a single value before any surrounding operator applies.

​
Operators and units

Every operator works on unit numbers as readily as on plain numbers. Comparison converts compatible units before comparing, so a value in metres and the same value in centimetres are equal; comparing across dimensions is rejected rather than answered:
3m < 5kg returns input.incompatible_units — there is no true or false for it. Arithmetic follows the same rules, deriving a dimension where one applies: see Conversion behavior and Combining types.
Because the exponent binds tighter than the leading minus, -2^2 is -(2^2) = -4. Use parentheses whenever the intended grouping isn’t obvious — TrueMath evaluates (a + b) / c exactly as written.
= is assignment; == is comparison. Use == inside conditions: if(term == 30; rate_30yr; rate_15yr). See Conditionals and logic.

​
Boolean results

Comparison and logical operators produce 1 (true) or 0 (false), and a condition expects a boolean — true/false or 1/0. The condition must be a scalar. See Booleans for how true/false relate to 1/0 and how other values are evaluated.