## Ordinal Types

Ordinal types include integer, character, Boolean, enumerated, and subrange types. An ordinal type defines an ordered set of values in which each value except the first has a unique predecessor and each value except the last has a unique successor. Further, each value has an ordinality which determines the ordering of the type. In most cases, if a value has ordinality n, its predecessor has ordinality n-1 and its successor has ordinality n+1.

- For integer types, the ordinality of a value is the value itself.
- Subrange types maintain the ordinalities of their base types.
- For other ordinal types, by default the first value has ordinality 0, the next value has ordinality 1, and so forth. The declaration of an enumerated type can explicitly override this default.

Several predefined functions operate on ordinal values and type identifiers. The most important of them are summarized below.

Function |
Parameter |
Return value |
Remarks |

Ord |
ordinal expression |
ordinality of expression's value |
Does not take Int64 arguments. |

Pred |
ordinal expression |
predecessor of expression's value | |

Succ |
ordinal expression |
successor of expression's value | |

High |
ordinal type identifier or variable ofhighest value in type ordinal type |
Also operates on short-string types and arrays. | |

Low |
ordinal type identifier or variable oflowest value in type ordinal type |
Also operates on short-string types and arrays. |

For example, High(Byte) returns 255 because the highest value of type Byte is 255, and Succ(2) returns 3 because 3 is the successor of 2.

The standard procedures Inc and Dec increment and decrement the value of an ordinal variable. For example, Inc(I) is equivalent to I := Succ(I) and, if I is an integer variable, to I := I + 1.

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