USING: help.syntax help.markup arrays sequences ; IN: ranges ARTICLE: "ranges" "Numeric ranges" "A " { $emphasis "range" } " is a virtual sequence with real number elements " "ranging from " { $emphasis "a" } " to " { $emphasis "b" } " by " { $emphasis "step" } ". Ascending as well as descending ranges are supported." $nl "The class of ranges:" { $subsections range } "Creating ranges with integer end-points. The standard mathematical convention is used, where " { $snippet "(" } " or " { $snippet ")" } " denotes that the end-point itself " { $emphasis "is not" } " part of the range; " { $snippet "[" } " or " { $snippet "]" } " denotes that the end-point " { $emphasis "is" } " part of the range:" { $subsections [a..b] (a..b] [a..b) (a..b) [0..b] [1..b] [0..b) } "Creating general ranges:" { $subsections } "Ranges are most frequently used with sequence combinators as a means of iterating over integers. For example," { $code "3 10 [a..b] [ sqrt ] map" } "Computing the factorial of 100 with a descending range:" { $code "100 1 [a..b] product" } "A range can be converted into a concrete sequence using a word such as " { $link >array } ". In most cases this is unnecessary since ranges implement the sequence protocol already. It is necessary if a mutable sequence is needed, for use with words such as " { $link set-nth } " or " { $link map! } "." ; ABOUT: "ranges"