Showing posts with label static types. Show all posts
Showing posts with label static types. Show all posts

Monday, May 18, 2026

CLRHack: FibBenchmark

The first thing to look at is the Fibonacci benchmark. The source code is here:

(in-package "CLRHACK")

(progn
  (defun fib (n)
    (if (< n 2)
        n
        (+ (fib (- n 1))
           (fib (- n 2)))))
  (defun main ()
    (print "Fibonacci of 10:")
    (print (fib 10)))
  (main))

And it compiles to this IL code: (commentary after the code)

.assembly extern mscorlib {}
.assembly extern LispBase {}

.assembly 'FibBenchmark' {}
.module 'FibBenchmark.exe'

.class public auto ansi beforefieldinit Program
       extends [mscorlib]System.Object
{
    .field public static class [LispBase]Lisp.Symbol 'SYM_G545'

.method public static hidebysig specialname rtspecialname void '.cctor'() cil managed
{
    .maxstack 8
    ldsfld class [LispBase]Lisp.Package [LispBase]Lisp.Package::CommonLisp
    ldstr "T"
    callvirt instance class [LispBase]Lisp.Symbol [LispBase]Lisp.Package::'Intern'(string)
    stsfld class [LispBase]Lisp.Symbol Program::'SYM_G545'
    ret
}

.method public static hidebysig object 'FIB'(object) cil managed
{
    .maxstack 8
    .locals (object TEMP_B)
    ldarg 0
    ldc.i4 2
    box int32
    stloc TEMP_B
    unbox.any int32
    ldloc TEMP_B
    unbox.any int32
    clt
    brtrue TRUE543
    ldnull
    br END544
TRUE543:
    nop
    ldsfld class [LispBase]Lisp.Symbol Program::'SYM_G545'
END544:
    nop
    ldnull
    ceq
    brtrue ELSE546
    ldarg 0
    ret
ELSE546:
    nop
    ldarg 0
    ldc.i4 1
    box int32
    stloc TEMP_B
    unbox.any int32
    ldloc TEMP_B
    unbox.any int32
    sub
    box int32
    call object Program::'FIB'(object)
    ldarg 0
    ldc.i4 2
    box int32
    stloc TEMP_B
    unbox.any int32
    ldloc TEMP_B
    unbox.any int32
    sub
    box int32
    call object Program::'FIB'(object)
    stloc TEMP_B
    unbox.any int32
    ldloc TEMP_B
    unbox.any int32
    add
    box int32
    ret
BLOCK_END_FIB_532:
    nop
    ret
}

.method public static hidebysig object 'MAIN'() cil managed
{
    .maxstack 8
    ldstr "Fibonacci of 10:"
    call void [mscorlib]System.Console::'WriteLine'(object)
    ldnull
    pop
    ldc.i4 10
    box int32
    call object Program::'FIB'(object)
    call void [mscorlib]System.Console::'WriteLine'(object)
    ldnull
    ret
BLOCK_END_MAIN_536:
    nop
    ret
}

.method public static hidebysig void 'Main'() cil managed
{
    .entrypoint
    .maxstack 8
    call object Program::'MAIN'()
    pop
    ret
}

} // end of class Program

The first thing the fib program does is compare argument x to the literal number 2. The compiler pushes argument 0 on to the stack, and then the compiler pushes a integer 2 on to the stack and boxes it.

Next, the compiler has to perform the compare. In order to do this it must unbox both arguments. One argument is on top of the stack, so it is put into a local TEMP_B so we can get to the other argument. We unbox it. We then restore TEMP_B to the top of stack and unbox it. Finally we compare the two unboxed values for less than.

This pattern of unboxing a pair of elements from the top of stack by way of a temporary local is repeated several places in the compiled code as FIB rather inefficiently subtracts 1 or 2 from the argument and makes the recursive call.

This example shows that the compiler basically treats everything as a .NET object. It unboxes numbers at the last moment and boxes the results as soon as they are generated. It is not efficient code.

Wednesday, October 16, 2024

Lisp vs. golang

It's no secret that I'm an aficionado of Lisp. It's my go to language, especially when I don't know what I'm doing. I call it research and prototyping, but it's really just playing around until something works.

We had a need for some auditing of some of our databases at work. They ought to agree with each other and with what GitHub and CircleCI think. It took a couple of weeks part time to prototype a solution in Common Lisp. It showed that the databases were in 99% agreement and found the few points of disagreement and anomalies that we ought to fix or look out for.

I want to integrate this information into a dashboard on one of our tools. I prototyped this by spinning up a Common Lisp microservice that returns the information in JSON format.

But management prefers that new services are written in golang. It would be easier for me to rewrite the service in golang than to try to persuade others to use Common Lisp. It also gives me the opportunity to compare the two languages head to head on a real world problem.

No, this is not a fair comparison. When I wrote the Lisp code I was exploring the problem space and prototyping. I'm much more experienced with Lisp than with golang. The golang version has the advantage that I know what I want to do and how to do it. In theory, I can just translate the Common Lisp code into golang. But then again, this is a “second system” which is not a prototype and has slightly larger scope and fuller requirements. So this cannot be a true head to head comparison.

The first point of comparison is macros (or lack thereof). I generally don't use a lot of macros in Common Lisp, but they come in handy when I do use them. One macro I wrote is called audit-step, which you can wrap around any expresion and it prints out a message before and after the expression is evaluated. The steps are numbered in sequence, and nested steps get nested numbers (like step 2.3.1). If you wrap the major function bodies with this macro, you get a nice trace of the call sequence in the log.

Golang doesn't have macros, but it has first class functions. It's easy enough to write a function that takes a function as an argument and wraps it to output the trace messages. In fact, the macro version in Common Lisp just rewrites the form into such a function call. But the macro version hides a level of indentation and a lambda. In golang, my major functions all start with

func MajorFunction (args) int {
        return AuditStep("MajorFunction", "aux message", func() int {
                // body of MajorFunction
                // Actual code goes here.
        })    
}

The bodies of all my major functions are indented by 16 spaces, which is a little much.

I like higher order functions. I can write one higher order function and parameterize it with functions that handle the specific cases. In my auditing code, one such workhorse function is called collate. It takes a list of objects and creates a table that maps values to all objects in the list that contain that value. To give an example, imaging you have a list of objects that all have a field called foo. The foo field is a string. The collate function can return a table that maps strings to all objects that have that string in the foo field.

collate is very general. It takes a list of objects and four keyword arguments. The :key argument is a function that extracts the value to collate on. The :test argument is a function that compares two keys (it defaults to eql if not specified). The :merger argument is a function to add the mapped object to its appropriate collection in the table (it defaults to adjoin). The :default argument specifies the initial value of a collection in the table (it defaults to nil).

The :merger function is the most interesting. It takes the key and the object and the current value of the table at that key. It returns the new value of the table at that key. The default merger function is adjoin, which adds the object to the collection at the key if it is not already there. But you can specify a different merger function. For example, if you want to count the number of objects at each key, you can specify a merger function that increments a counter.

The functional arguments to the collate function are often the results of other higher order functions. For example, the :key argument is often the result of composing selector functions. The :merger argument is often the result of composing a binary merge function with a unary transformer function. The transformer function is often the result of composing a number of primitive selectors and transformers.

In Common Lisp, it is quite easy to write these higher order functions. We can compose two unary functions with the compose2 function:

(defun compose2 (f g)
  (lambda (x) (funcall f (funcall g x)))

and then compose as many functions as we like by fold-left of compose2 starting with the identity function:

(defun compose (&rest fs)
  (fold-left #'compose2 #'identity fs))

We can compose a binary function with a unary function in three ways: we can pipe the output of the binary function into the unary function, or we can pipe the output of the unary function into one or the other of the inputs of the binary function.

(defun binary-compose-output (f g)
  (lambda (x y) (funcall f (funcall g x y))))

(defun binary-compose-left (f g)
  (lambda (x y) (funcall f (funcall g x) y)))

(defun binary-compose-right (f g)
  (lambda (x y) (funcall f x (funcall g y))))

The collate function can now assume that a lot of the work is done by the :key and :merger functions that are passed in. It simply builds a hash table and fills it:

(defun collate (item &key (key #'identity) (test #'eql) (merger (merge-adjoin #'eql)) (default nil))
  (let ((table (make-hash-table :test test)))
    (dolist (item items table)
      (let ((k (funcall key item)))
        (setf (gethash k table) (funcall merger (gethash k table default) item))))))

(defun merge-adjoin (test)
  (lambda (collection item)
    (adjoin item collection :test test)))

So suppose, for example, that we have a list of records. Each record is a three element list. The third element is a struct that contains a string. We want a table mapping strings to the two element lists you get when you strip out the struct. This is easily done with collate:

(collate records
  :key (compose #'get-string #'third)
  :test #'equal      ; or #'string= if you prefer
  :merger (binary-compose-right (merge-adjoin #'equal) #'butlast))

The audit code reads lists of records from the database and from GitHub and from CircleCI and uses collate to build hash tables we can use to quickly walk and validate the data.

Translating this into golang isn't quite so easy. Golang has first class function, true, but golang is a statically typed language. This causes two problems. First, the signature of the higher order functions includes the types of the arguments and the return value. This means you cannot just slap on the lambda symbol, you have to annotate each argument and the return value. This is far more verbose. Second, higher order functions map onto parameterized (generic) types. Generic type systems come with their own little constraint language so that the computer can figure out what concrete types can correctly match the generic types. This makes higher order functions fairly unweildy.

Consider compose2. The functions f and g each have an input and output type, but the output type of g is the input type of f so only three types are involved

func Compose2[T any, U any, V any](f func(U) V, g func(T) U) func(T) V {
	return func(x T) V {
		return f(g(x))
	}
}

If want to compose three functions, we can write this:

func Compose3[T any, U any, V any, W any](f func(V) W, g func(U) V, h func(T) U) func(T) W {
	return func(x T) W {
		return f(g(h(x)))
	}
}
The generic type specifiers take up as much space as the code itself.

I don't see a way to write an n-ary compose function. It would have to be dynamically parameterized by the intermediate types of all the functions it was composing.

For the collate function, we can write this:

func Collate[R any, K comparable, V any](
	list *Cons[R],
	keyfunc func(R) K,
	merger func(V, R) V,
	defaultValue V) map[K]V {
	answer := make(map[K]V)
	for list != nil {
		key := keyfunc(list.Car)
		probe, ok := answer[key]
		if !ok {
			probe = defaultValue
		}
		answer[key] = merger(probe, list.Car)
		list = list.Cdr
	}
	return answer
}

We have three types to parameterize over: the type of the list elements (i.e. the record type) R, the type of the key K, and the type of the value V. The key type is needs to be constrained to be a valid key in a map, so we use the comparable constraint. Now that we have the types, we can annotate the arguments and return value. The list we are collating is a list of R elements. The key function takes an R and returns a K. The merger takes an existing value of type V and the record of type R and returns a new value of type V.

The magic of type inference means that I do not have to annotate all the variables in the body of the function, but the compiler cannot read my mind and infer the types of the arguments and return value. Golang forces you to think about the types of arguments and return values at every step of the way. Yes, one should be aware of what types are being passed around, but it is a burden to have to formally specify them at every step. I could write the Common Lisp code without worrying too much about types. Of couse the types would have to be consistent at runtime, but I could write the code just by considering what was connected to what. In golang, the types are in your face at every function definition. You not only have to think about what is connected to what, you have to think about what sort of thing is passed through the connection.

I'm sure that many would argue that type safety is worth the trouble of annotation. I don't want to argue that it isn't. But the type system is cumbersome, awkward, and unweildy, especially when you are trying to write higher order functions.

It is taking me longer to write the golang version of the audit service than it did to write the Common Lisp version. There are several reasons. First, I am more experienced with Common Lisp than golang, so the right Common Lisp idioms just come to mind. I have to look up many of the golang idioms. Second, the golang code is trying to do more than the Common Lisp code. But third, golang itself introduces more friction than Common Lisp. Programs have to do more than express the algorithm, they have to satisfy the type system.

There are more points of comparison between the two languages. When I get frustrated enough, I'll probably write another post.

Wednesday, June 28, 2023

Fails Static Type Check, but Runs Anyway

Here’s a function that fails a static type check, but has no runtime type error:

(defun foo ()
  (sqrt (if (static-type-check? #’foo)
        "bogus"
        2.0))

I suspect most people that favor static types will argue that this sort of program doesn’t count for some reason or other. I think this is more an example (albeit contrived) of the limitations of static type checking.