Curves and formulas

A curve

curve { preset = "slow-late", base = 90 }                               # config.conf ships this
curve { formula = "base * level ^ steepness", base = 60, steepness = 1.6 }
curve = [100, 250, 500, 900]

A preset is linear, quadratic or slow-late, with a base; it expands into a formula you can then edit. /uxmskills curves prints what each preset costs. A formula may use its own variables declared beside it. A list repeats its last value: [100, 200, 400] costs 400 for every level after the third.

A skill that writes no curve takes curve from config.conf. After changing a curve, /uxmskills recalculate rewrites every stored level.

Formulas

Every number can be a formula: 100 * level ^ 1.6. The grammar is + - * / %, ^ (right associative, so 2 ^ 3 ^ 2 is 512), brackets, unary minus, named variables and the functions min, max, floor, ceil, round, abs, sqrt, pow, ln, log, exp and clamp. There is no assignment, condition or loop. A broken formula is refused at load with the position of the character that broke it, and an answer that is not a finite number is refused when evaluated.

Related: Skills