[racket] contracts on liberal function inputs: avoiding duplicate effort

From: Robby Findler (robby at eecs.northwestern.edu)
Date: Sat Feb 15 19:22:44 EST 2014

We've tried to keep the contract system from changing how programs work,
except by adding more errors. I wouldn't say that we restricted our
attention to this because it is better, but more because that's what we
were interested in doing (debugging programs, etc). It also turns out to be
a much better fit for interop with typed racket, but that's a concern that
came along much later.

As for your reading of the docs, "suitable wrapping" is intended to more be
about delaying checks that can't be done immediately (like when you pass
functions around).

FWIW, what you've defined isn't a projection in the technical sense, it is
a retract. I bring this up only to say that there has been some theoretical
experimentation of retraction functions like that as a basis for
understanding what types are. So, more evidence that that can be an
interesting approach.

Robby

Robby



On Sat, Feb 15, 2014 at 6:09 PM, Matthew Butterick <mb at mbtype.com> wrote:

> Of course, these are not really contracts as we understand them. The docs
>> for 'make-contract' say not to do this, if you read them carefully. So
>> beware. I'm kind of curious what other people think of this application of
>> the contract system, actually.
>
>
> Why is it an abuse of the contract system to define a contract that uses a
> projection to change the value?
>
> The docs for make-contract say "The projection must either produce the
> value, *suitably wrapped to enforce any higher-order aspects of the
> contract*, or signal a contract violation." Is it never true that
> changing a value can be the "suitable wrapping"? (Or m I overlooking some
> other relevant part of the docs?)
>
> Consider this contract. It checks whether a value can be converted to a
> path. If so, it returns the converted value. If not, it fails. (This one's
> in quasicode, but I wrote a real one and it works as expected.) If this is
> abuse, it's very useful abuse.
>
> (define coerce/path?
>   (make-contract
>    #:name 'coerce/path?
>    #:projection (λ (b)
>                   (λ (x)
>                     (if (can-be-path? x)
>                         (convert-to-path x)
>                         (raise-blame-error
>                          b x
>                          '(expected: "~a" given: "~e")
>                          'can-be-path? x))))))
>
>
>
>
>
>
>
>
> On Mon, Nov 18, 2013 at 10:25 AM, Ryan Culpepper <ryanc at ccs.neu.edu>wrote:
>
>> On 11/18/2013 12:03 PM, Matthew Butterick wrote:
>>
>>> In a function that permits liberal inputs, I often find that the input
>>> processing I do in a contract is duplicated at the beginning of the body of
>>> the function. Is this avoidable?
>>>
>>> Certain functions want to be liberal with input because there are
>>> multiple common ways to represent the data. For instance, I have a function
>>> that operates on CSS RGB colors. This function should be prepared to accept
>>> these forms of input & understand that they're all the same:
>>>
>>> "#c00"
>>> "#cc0000"
>>> '("204" "0" "0")
>>> #xcc0000
>>> '(0.8 0 0)
>>>
>>> Let's say that my internal representation of an RGB color is described
>>> by the contract rgb-color/c:
>>>
>>> (define rgb-color/c (list/c (real-in 0 1) (real-in 0 1) (real-in 0 1)))
>>>
>>> But I can't use rgb-color/c as the input contract for the function
>>> because it's too narrow. So I make a second contract that tests for things
>>> that can be converted to an rgb-color:
>>>
>>> (define (rgb-colorish? x) (or/c rgb-color/c [tests for the other input
>>> formats ...] )
>>>
>>> To determine if the input is rgb-colorish?, this contract usually just
>>> ends up trying to convert the input to rgb-color. If it works, then the
>>> contract returns true.
>>>
>>> But after the contract returns, I have to convert the input to an
>>> rgb-color anyhow. So I'm doing exactly the same work that the contract just
>>> finished. If the conversion is expensive, I'm doing it twice.
>>>
>>
>> We usually just don't worry about the conversion happening twice. Or we
>> do what Matthias said. Or we apply a fast approximate contract (or none at
>> all) and then do the conversion and error checking together inside the
>> function.
>>
>> But... by abusing the contract system a little bit, though, we can get it
>> to do the conversion for you.
>>
>> Here's a "contract" combinator that takes a conversion function that
>> returns #f to indicate failure/rejection and any other value to represent
>> the converted result.
>>
>> > (define (make-named-conversion-contract name convert)
>>     (define ((proj blame) v)
>>       (cond [(convert v )
>>              => values]
>>             [else
>>              (raise-blame-error blame v
>>                                 '(expected: "~a" given: "~e")
>>                                 name v)]))
>>     (make-contract #:name name #:projection proj))
>>
>> Here's a "contract" that checks that a value is real, and if so produces
>> its absolute value.
>>
>> > (define abs/c
>>     (make-named-conversion-contract
>>      'abs/c
>>      (lambda (v) (and (real? v) (abs v)))))
>>
>> And here's a function using the converting "contract":
>>
>> > (define/contract f (-> abs/c real?)
>>     (lambda (x) x))
>> > (f 10)
>> 10
>> > (f -12)        ;; <-- !!!
>> 12
>> > (f 'hello)
>> f: contract violation
>>  expected: abs/c
>>  given: 'hello
>>  ....
>>
>> Of course, these are not really contracts as we understand them. The docs
>> for 'make-contract' say not to do this, if you read them carefully. So
>> beware. I'm kind of curious what other people think of this application of
>> the contract system, actually.
>>
>> Ryan
>>
>>
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>
>
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