Arithmetic and functions

Operators

Use +, -, *, /, % (remainder), ^ or ** (power). Powers precede multiplication/division/remainder, which precede addition/subtraction. Powers associate to the right: 2^3^2 means 2^(3^2). Parentheses override this order. Unary signs and decimals work; normalization simplifies +- and --.

2d6+3
(d8+2)*3
2d20/2
d6^2
d20+1.5

One-argument functions

An argument can contain a full expression, including dice.

Function	Effect	Example
abs(x)	Absolute value	abs(d6-4)
ceil(x)	Round upward	ceil(3d6/2)
floor(x)	Round downward	floor(3d6/2)
round(x)	Nearest integer, following Math.round	round(d20/2)
sign(x)	−1, 0, or 1	sign(d20-10)
sqrt(x)	Square root	sqrt(16)
exp(x)	e to the power of x	exp(1)
log(x)	Natural logarithm	log(10)
sin(x)	Sine in radians	sin(d6)
cos(x)	Cosine in radians	cos(d6)
tan(x)	Tangent in radians	tan(d6)

Two-argument functions

min(a,b) returns the smaller value, max(a,b) the larger, and pow(a,b) computes a power. These differ from the minN/maxN modifiers, which transform each face.

min(2d10,7)
max(d20,5)
pow(2,3)+d6

Division by zero and functions producing a non-finite result raise NON_FINITE_RESULT. Intermediate operations follow decimal12-v1; the final total has two decimal places.

Try the examples

Try 2d6+3 · Try ceil(3d6/2) · Try min(2d10,7)