Numbers

omega's finite numbers are exact integers up to 2^65536. Infinite values are covered in ordinals.

Literals

42   -7   0x2a   0b101

Integers can be written in decimal, in hex with 0x or in binary with 0b. bases shows a number in decimal, hex, octal and binary (tools).

Arithmetic

Word	Effect
`+`	`a b -- c`	adds
`-`	`a b -- c`	subtracts
`*`	`a b -- c`	multiplies
`/`	`a b -- c`	divides, rounding toward zero
`mod`	`a b -- r`	remainder
`^`	`a b -- c`	a to the power b
`neg`	`a -- -a`	flips the sign
`abs`	`a -- b`	drops the sign
`min` `max`	`a b -- c`	the smaller or bigger

Truth

Comparisons leave 1 or 0, and any non-zero value counts as true.

and and or are logical while & and | are bitwise, so 12 10 and is 1 but 12 10 & is 8.

Big numbers

Integers never wrap. A result that doesn't fit in 64 bits becomes a bignum automatically:

2 100 ^ .                   1267650600228229401496703205376
2 1000 ^ str len .          302

Bignums work with arithmetic, comparisons, str, >num, conditions and saving. Words that need a machine integer, such as times, at, peek and the bitwise words, fail with foo needs a number that fits in 64 bits.

The limit is 2^65536, about 19,700 digits. Larger results fail with that number is too big, the limit is 2^65536. Bignums describes how they are handled.

Division

/ truncates toward zero and mod takes the sign of the dividend, so -7 2 mod is -1 and an odd test written as 2 mod 1 = is wrong for negative numbers. Division by zero fails, and ^ doesn't accept negative exponents.

Conversion and random numbers

str, hex, >hex and >num convert to and from strings (strings). 6 rand returns a number from 0 to 5.

Floating point

omega has no floating point. The unit conversions in tools work in hundredths, and mandel uses fixed point with 65536 as 1.0.