GateFrames :: Formula Syntax Guide

Overview

Write formulas to calculate prices or validate restrictions using simple math and logic. Variables are referenced with @variable and are case-insensitive (e.g., @Width equals @width). For dimensions and material math, author with

Variables

• Use @name to reference a variable, for example @width.
• Text variables compare with strings using 'single' or "double" quotes.
• Variables are case-insensitive: @Color == @color.

Operators & Precedence

Use ^ for exponent, word-logic operators, and standard comparisons:

() [] {} → ^ → * / % → + - → == != < > <= >= → and or not xor → =

Functions

Common math: sqrt, abs, sin, cos, tan, log(x, base), exp, round, floor, ceil.

Conditionals

Use the ternary operator: condition ? value_if_true : value_if_false.

String Comparisons

Compare text variables with == or !=. Example: @color == 'red' ? 10 : 0

Examples

@width > 10 ? 100 : 50

@color == 'gold' ? 1000 * 1.15 : 1000

@quantity >= 1 and @width_in <= 120

Notes

• Use ^ for power: 2^3 (not 2**3).
• Use word-logic: and, or, not, xor (not && or ||).
• Formulas should evaluate to a number (price) or boolean (restriction).
• Avoid division by zero or results that are Infinity/NaN.