7.3 Lazy Data-structure Contracts
Like
struct, but with two differences:
they do not
define field mutators, and they define two contract constructors:
id/c and
id/dc. The
first is a procedure that accepts as many arguments as there are
fields and returns a contract for struct values whose fields match the
arguments. The second is a syntactic form that also produces contracts
on the structs, but the contracts on later fields may depend on the
values of earlier fields.
The generated contract combinators are lazy: they only verify
the contract holds for the portion of some data structure that is
actually inspected. More precisely, a lazy data structure contract is
not checked until a selector extracts a field of a struct.
(id/dc field-spec ...) |
|
field-spec | | = | | [field-id contract-expr] | | | | | | [field-id (field-id ...) contract-expr] |
|
In each field-spec case, the first field-id
specifies which field the contract applies to; the fields must be
specified in the same order as the original
contract-struct. The first case is for when the
contract on the field does not depend on the value of any other
field. The second case is for when the contract on the field does
depend on some other fields, and the parenthesized field-ids
indicate which fields it depends on; these dependencies can only be to
earlier fields.
As an example of lazy contract checking, consider the following module:
#lang racket |
|
(contract-struct kons (hd tl)) |
|
; sorted-list/gt : number -> contract |
; produces a contract that accepts |
; sorted kons-lists whose elements |
; are all greater than num. |
(define (sorted-list/gt num) |
(or/c null? |
(kons/dc [hd (>=/c num)] |
[tl (hd) (sorted-list/gt hd)]))) |
|
; product : kons-list -> number |
; computes the product of the values |
; in the list. if the list contains |
; zero, it avoids traversing the rest |
; of the list. |
(define (product l) |
(cond |
[(null? l) 1] |
[else |
(if (zero? (kons-hd l)) |
0 |
(* (kons-hd l) |
(product (kons-tl l))))])) |
|
(provide kons? kons kons-hd kons-tl) |
(provide/contract [product (-> (sorted-list/gt -inf.0) number?)]) |
The module provides a single function, product whose contract
indicates that it accepts sorted lists of numbers and produces
numbers. Using an ordinary flat contract for sorted lists, the product
function cannot avoid traversing having its entire argument be
traversed, since the contract checker will traverse it before the
function is called. As written above, however, when the product
function aborts the traversal of the list, the contract checking also
stops, since the kons/dc contract constructor generates a
lazy contract.