Numeric ranges

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A range is a virtual sequence with real number elements ranging from a to b by step. Ascending as well as descending ranges are supported.

The class of ranges:

Creating ranges with integer end-points. The standard mathematical convention is used, where ( or ) denotes that the end-point itself is not part of the range; [ or ] denotes that the end-point is part of the range:

Creating general ranges:

Ranges are most frequently used with sequence combinators as a means of iterating over integers. For example,

Computing the factorial of 100 with a descending range:

A range can be converted into a concrete sequence using a word such as >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 set-nth or map!.

The class of ranges:

range

Creating ranges with integer end-points. The standard mathematical convention is used, where ( or ) denotes that the end-point itself is not part of the range; [ or ] denotes that the end-point is part of the range:

[a,b] ( a b -- range )

(a,b] ( a b -- range )

[a,b) ( a b -- range )

(a,b) ( a b -- range )

[0,b] ( b -- range )

[1,b] ( b -- range )

[0,b) ( b -- range )

Creating general ranges:

<range> ( a b step -- range )

Ranges are most frequently used with sequence combinators as a means of iterating over integers. For example,

3 10 [a,b] [ sqrt ] map

Computing the factorial of 100 with a descending range:

100 1 [a,b] product

A range can be converted into a concrete sequence using a word such as >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 set-nth or map!.