How to read smtlib2 strings using Z3 C++ api? - z3

I want to create an expr object from a given SMTLIB2 file. I can see a Z3_parse_smtlib_string function in the C examples. Is there a wrapper for that in the expr class?

The Z3 C++ API does not explicitly provide this functionality as part of the expr class. However, the C++ API can be used alongside the C API, i.e., the function Z3_parse_smtlib_string (or ..._file) can be used to achieve this. Note that this function returns a Z3_ast, which must be converted to an expr object to get back to the C++ "world".
A simple example:
#include <z3++.h>
...
context ctx;
Z3_ast a = Z3_parse_smtlib2_file(ctx, "test.smt2", 0, 0, 0, 0, 0, 0);
expr e(ctx, a);
std::cout << "Result = " << e << std::endl;
Since the Z3_parse_smtlib2_* functions do not perform error checking, no exception will be thrown upon errors. This can be achieved by calls to context::check_error().

Related

How to parse a keyword that is also an operator

I am trying to parse the following code using parsec
for x = Int in [1, 2, 3]
print x + 1
The only part of the example that might be hard to understand is x = Int which means the variable x is defined as an Int. Syntactically Int here is an expression. It might just as well be replaced with a function call that returns a type.
So far I have been able to parse all the simple literals and operators. My problem now is that in this language in is a keyword as well as an operator and types (Int) are objects like any other (that can be in lists). E.g. the following code is perfectly valid and prints false
print (Int in [1, 2, 3])
So right now my parser parses for x = correctly and then it parses Int in [1, 2, 3] as ONE expression. How can I make the for parser grab the in instead of leaving it to the expression parser? I have a feeling that parsec has something like that built in, but I have no idea how to find it.
Edit: I changed the example to make more sense...
Edit: I have this difficulty in various places, the language is very complex. Another example is the else operator which returns it's second argument if it's first argument is null:
print (if true then (null else "hello") else "world")
# >> hello
print (if true then null else "hello" else "world")
# >> world
Thank you very much #talex and #n.m. for pointing me where I had to look. This is how I solved this specific problem:
I parameterized the expression parser (had to enable {-# LANGUAGE FlexibleContexts #-}) with a list of "eject" words and equally every relevant parser below it, specifically the binOperator parser
expression :: [String] -> MyParser AST
binOperator :: [String] -> MyParser AST
If one of the "eject"-words is encountered in the position of a binary operator, the binOperator parser fails (and with the chainl1 based parser that reads binary operations), thus leaving the "eject" word (in this case in) to the for parser to consume. This should work just as well with the if parser.
And I simply don't pass the eject words to the paren parser so there are no eject words recognized between ( and ) (and similar parsers like list).

Is it impossible to overload post-increment operator in F#

I am writing a library for C# developers. The library is written in F#. C# developers would like to use ++ operator on one of the objects. How can I do that ?
I looked up online, found that ++ post-increment operator is a no-such-thing in F#.
Even though F# does not have the ++ operator, you can still define an F# type that supports it:
type A(n:int) =
member x.N = n
static member op_Increment (a:A) = A(a.N + 1)
The trick is that you have to use the op_Increment name for the method, because that's what C# uses for the ++ operator. Unfortunately, F# does not understand the operator and so if you write member (++) ..., the compiler will call the method op_PlusPlus instead.

Coroutines in F#

I'm just getting started with Unity3D using F# and I'm noticing that coroutines are used heavily in books and tutorials as a neat solution for solving a variety of problems. I've been trying to figure out whether or not F# has the equivalent built-in constructs, or if it's at least possible to somehow mimic them, but I can't find anything on MSDN. I only found a few articles with implementations of coroutines using a Continuation monad, but these are way over my head as a beginner.
Here's the C# example from the Unity docs, which when called repeatedly inside the game loop results in fading the object's alpha color in small increments over time:
IEnumerator Fade() {
for (float f = 1f; f >= 0; f -= 0.1f) {
Color c = renderer.material.color;
c.a = f;
renderer.material.color = c;
yield return;
}
}
So I simply have to declare a function that returns an IEnumerator, then cede control wherever I want to inside the body with a "yield." I'm not sure how to do this in F# as I keep getting the error "This expression was expected to have type IEnumerator but here has type unit". The "yield" keyword also seems to behave differently in F# since unlike C# it cannot be used on its own and has to be inside a sequence expression as I understood from the docs.
So am I missing anything? How would the functionality above be implemented in F#?
UPDATE
Gustavo's explanation is correct. Here is the exact Unity script which you can attach to an object to see it's Red color value decrease by 0.1 over a 10 second time frame.
namespace CoroutinesExample
open UnityEngine
type CoroutinesExample() =
inherit MonoBehaviour()
member this.Start() =
// Either of the these two calls will work
// this.StartCoroutine("Fade") |> ignore
this.Fade()
member this.Fade() =
seq {
for f in 1.f .. -0.1f .. 0.f do
let mutable c = this.renderer.material.color
c.r <- f
this.renderer.material.color <- c
yield WaitForSeconds(1.f)
} :?> IEnumerator
This article was very helpful in explaining the details of coroutines in Unity.
The equivalent F# code is the following:
member this.Fade() =
seq {
for f in 1.0 .. -0.1 .. 0.0 do
let c = renderer.material.color
c.alpha <- f
renderer.material.color <- c
yield ()
} :> IEnumerable
Note that unlike in C#, you have to yield some value, so we're using unit (()). The seq expression will have the type seq<unit>, which is an alias for IEnumerable<Unit>. To make it conform to the type Unity is expecting, we just need to upcast it by using :> IEnumerable

z3 context reset API

I want to reset the context in z3, similarly to what I do in yices: void yices_reset (yices_context ctx)
Is there an equivalent command for z3? Currently I use Z3_del_context(ctx); but I am not sure it is the most efficient way. Should I use the push/pop context commands, or is there another method?
Z3_del_context(ctx) is an option. However, in your question, you mention push/pop. So, it seems you actually want to reset just the set of assertions. If that is the case, I suggest you start using Z3_solver objects. We can create many different Z3_solver objects in a Z3_context object. The main advantage is they may share declarations, formulas, expressions, etc. BTW, Z3 comes with a C++ wrapper (z3++.h) that is much easier to use them the C API. Here is a C++ example using multiple solver objects. BTW, you can use multiple solver objects at the same time.
context c;
expr x = c.int_const("x");
expr y = c.int_const("y");
{
solver s(c);
s.add(x >= 1);
s.add(y < x + 3);
std::cout << s.check() << "\n";
model m = s.get_model();
std::cout << m << "\n";
// solver object c will be destroyed at this point
}
{
// creating a new solver object
solver s2(c);
s2.add(x > y + 1);
std::cout << s2.check() << "\n";
}
EDIT: Solver objects also have a reset method. It erases all assertions asserted in a given solver.

Evaluate function inside quotation

I'm at the moment doing some very basic pattern matching with quotations.
My code:
let rec test e =
match e with
| Patterns.Lambda(v,e) -> test e
| Patterns.Call(_, mi, [P.Value(value, _); P.Value(value2, _)]) ->
printfn "Value1: %A | Value2 : %A" value value2
| Patterns.Call(_, mi, [P.Value(value, _); P.PropertyGet(_, pi, exprs)]) ->
printfn "Value1: %A | Value2 : %A" value (pi.GetValue(pi, null))
| _ -> failwith "Expression not supported"
let quot1 = <# "Name" = "MyName" #>
(* Call (None, Boolean op_Equality[String](System.String, System.String),
[Value ("Name"), Value ("lol")]) *)
let quot2 = <# "Name" = getNameById 5 #>
(* Call (None, Boolean op_Equality[String](System.String, System.String),
[Value ("Name"),
Call (None, System.String getNameById[Int32](Int32), [Value (5)])]) *)
test quot1 // Works!
test quot2 // Fails.. Dosent match any of the patterns.
Is it possible to somehow evaluate the result of the getNameById function first, so that it will match one of the patterns, or am I doomed to assign a let binding with the result of the function outside the quotation?
I've tried playing with the ExprShape patterns, but without luck..
You can use PowerPack's Eval to evaluate only the arguments to the Call expression:
match e with
| Call(_,mi,[arg1;arg2]) ->
let arg1Value, arg2Value = arg1.Eval(), arg2.Eval()
...
And similarly for Lambda expressions, etc. Noticed this frees you from enumerating permutations of Value, Property, and other argument expressions.
Update
Since you want to avoid using Eval (for good reason if you are implementing a performance conscious application), you'll need to implement your own eval function using reflection (which is still not lightening fast, but should be faster than PowerPack's Eval which involves an intermediate translation of F# Quotations to Linq Expressions). You can get started by supporting a basic set of expressions, and expand from there as needed. Recursion is the key, the following can help you get started:
open Microsoft.FSharp.Quotations
open System.Reflection
let rec eval expr =
match expr with
| Patterns.Value(value,_) -> value //value
| Patterns.PropertyGet(Some(instance), pi, args) -> //instance property get
pi.GetValue(eval instance, evalAll args) //notice recursive eval of instance expression and arg expressions
| Patterns.PropertyGet(None, pi, args) -> //static property get
pi.GetValue(null, evalAll args)
| Patterns.Call(Some(instance), mi, args) -> //instance call
mi.Invoke(eval instance, evalAll args)
| Patterns.Call(None, mi, args) -> //static call
mi.Invoke(null, evalAll args)
| _ -> failwith "invalid expression"
and evalAll exprs =
exprs |> Seq.map eval |> Seq.toArray
And then wrapping this in an Active Pattern will improve syntax:
let (|Eval|) expr =
eval expr
match e with
| Patterns.Call(_, mi, [Eval(arg1Value); Eval(arg2Value)]) -> ...
Update 2
OK, this thread got me motivated to try and implement a robust reflection based solution, and I've done so with good results which are now part of Unquote as of version 2.0.0.
It turned out not to be as difficult as I thought it would be, currently I am supporting all quotation expressions except for AddressGet, AddressSet, and NewDelegate. This is already better than PowerPack's eval, which doesn't support PropertySet, VarSet, FieldSet, WhileLoop, ForIntegerRangeLoop, and Quote for example.
Some noteworthy implementation details are with VarSet and VarGet, where I need to pass around an environment name / variable lookup list to each recursive call. It is really an excellent example of the beauty of functional programming with immutable data-structures.
Also noteworthy is special care taken with issues surrounding exceptions: striping the TargetInvokationExceptions thrown by reflection when it catches exceptions coming from methods it is invoking (this is very important for handling TryWith evaluation properly, and also makes for better user handling of exceptions which fly out of the quotation evaluation.
Perhaps the most "difficult" implementation detail, or really the most grueling, was the need to implement all of the core operators (well, as most I could discover: the numeric and conversion operators, checked versions as well) since most of them are not given dynamic implementations in the F# library (they are implemented using static type tests with no fallback dynamic implementations), but also means a serious performance increase when using these functions.
Some informal benchmarking I observe performance increases of up to 50 times over PowerPack's (not pre-compiled) eval.
I am also confident that my reflection-based solution will be less bug prone then PowerPack's, simply because it is less complicated than the PowerPack's approach (not to mention I've backed it up with about 150 unit tests, duly fortified by Unquotes additional 200+ unit tests which now is driven by this eval implementation).
If you want to peek at the source code, the main modules are Evaluation.fs and DynamicOperators.fs (I've locked the links into revision 257). Feel free to grab and use the source code for your own purposes, it licensed under Apache License 2.0! Or you could wait a week or so, when I release Unquote 2.0.0 which will include evaluation operators and extensions publicly.
You can write an interpreter that will evaluate the quotation and call the getNameById function using Reflection. However, that would be quite a lot of work. The ExprShape isn't going to help you much - it is useful for simple traversing of quotations, but to write an interpreter, you'll need to cover all patterns.
I think the easiest option is to evaluate quotations using the PowerPack support:
#r "FSharp.PowerPack.Linq.dll"
open Microsoft.FSharp.Linq.QuotationEvaluation
let getNameById n =
if n = 5 then "Name" else "Foo"
let quot1 = <# "Name" = "MyName" #>
let quot2 = <# "Name" = getNameById 5 #>
quot1.Eval()
quot2.Eval()
This has some limitations, but it is really the easiest option. However, I'm not really sure what are you trying to achieve. If you could clarify that, then you may get a better answer.

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