Function frequency

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Task
Function frequency
You are encouraged to solve this task according to the task description, using any language you may know.

Display - for a program or runtime environment (whatever suites the style of your language) - the top ten most frequently occurring functions (or also identifiers or tokens, if preferred).

This is a static analysis: The question is not how often each function is actually executed at runtime, but how often it is used by the programmer.

Besides its practical usefulness, the intent of this task is to show how to do self-inspection within the language.

Contents

[edit] ACL2

This will, unfortunately, also catch variable names after an open paren, such as in (let ...) expressions.

(in-package "ACL2")
 
(set-state-ok t)
 
(defun read-all-objects (limit channel state)
(mv-let (eof obj state)
(read-object channel state)
(if (or eof (zp limit))
(mv nil state)
(mv-let (so-far state)
(read-all-objects (- limit 1) channel state)
(mv (cons obj so-far) state)))))
 
(defun list-starters (xs)
(cond ((endp xs) nil)
((consp (first xs))
(append (if (symbolp (first (first xs)))
(list (first (first xs)))
nil)
(list-starters (rest (first xs)))
(list-starters (rest xs))))
(t (list-starters (rest xs)))))
 
(defun invoked-functions (filename state)
(mv-let (channel state)
(open-input-channel filename :object state)
(mv-let (code state)
(read-all-objects 1000 channel state)
(mv (list-starters code) state))))
 
(defun increment-for (key alist)
(cond ((endp alist) (list (cons key 1)))
((equal key (car (first alist)))
(cons (cons key (1+ (cdr (first alist))))
(rest alist)))
(t (cons (first alist)
(increment-for key (rest alist))))))
 
(defun symbol-freq-table (symbols)
(if (endp symbols)
nil
(increment-for (first symbols)
(symbol-freq-table (rest symbols)))))
 
(defun insert-freq-table (pair alist)
(cond ((endp alist)
(list pair))
((> (cdr pair) (cdr (first alist)))
(cons pair alist))
(t (cons (first alist)
(insert-freq-table pair (rest alist))))))
 
(defun isort-freq-table (alist)
(if (endp alist)
nil
(insert-freq-table (first alist)
(isort-freq-table (rest alist)))))
 
(defun main (state)
(mv-let (fns state)
(invoked-functions "function-freq.lisp" state)
(mv (take 10 (isort-freq-table
(symbol-freq-table fns))) state)))

Output (for itself):

(((FIRST . 10)
  (REST . 8)
  (DEFUN . 8)
  (CONS . 7)
  (MV-LET . 5)
  (LIST-STARTERS . 4)
  (IF . 4)
  (MV . 4)
  (COND . 3)
  (LIST . 3))
 <state>)

[edit] BBC BASIC

      INSTALL @lib$+"SORTLIB"
Sort% = FN_sortinit(1,0) : REM Descending
 
Valid$ = "0123456789@ABCDEFGHIJKLMNOPQRSTUVWXYZ_`abcdefghijklmnopqrstuvwxyz"
DIM func$(1000), cnt%(1000)
nFunc% = 0
 
file% = OPENIN("*.bbc")
WHILE NOT EOF#file%
ll% = BGET#file%
no% = BGET#file% + 256*BGET#file%
INPUT #file%, l$
 
i% = 1
REPEAT
j% = INSTR(l$, CHR$&A4, i%) : REM Token for 'FN'
k% = INSTR(l$, CHR$&F2, i%) : REM Token for 'PROC'
IF k% IF j%=0 OR j%>k% THEN
i% = k%
f$ = "PROC"
ELSE
i% = j%
f$ = "FN"
ENDIF
IF i% THEN
REPEAT
i% += 1
f$ += MID$(l$, i%, 1)
UNTIL INSTR(Valid$, MID$(l$, i%+1, 1)) = 0
FOR j% = 0 TO nFunc%-1
IF f$ = func$(j%) EXIT FOR
NEXT
IF j% >= nFunc% nFunc% += 1
func$(j%) = f$
cnt%(j%) += 1
ENDIF
UNTIL i%=0
ENDWHILE
CLOSE #file%
 
C% = nFunc%
CALL Sort%, cnt%(0), func$(0)
 
IF C% > 10 C% = 10
FOR i% = 0 TO C%-1
PRINT func$(i%) " (" ; cnt%(i%) ")"
NEXT

Output (for file LBB.BBC):

FNcheck (291)
FNexpr (125)
FNtoken (49)
PROCout (41)
FNhandle (31)
FNupper (30)
FNitem (30)
FNcheckns (21)
FNinstrq (17)
FNchild (17)

[edit] C

This program treats doesn't differentiate between macros and functions. It works by looking for function calls which are not inside strings or comments. If a function call has a C style comment between the opening brace and the name of the function, this program will not recognize it as a function call.

 
#define _POSIX_SOURCE
#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
#include <errno.h>
#include <string.h>
#include <stddef.h>
#include <sys/mman.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <unistd.h>
struct functionInfo {
char* name;
int timesCalled;
char marked;
};
void addToList(struct functionInfo** list, struct functionInfo toAdd, \
size_t* numElements, size_t* allocatedSize)
{
static const char* keywords[32] = {"auto", "break", "case", "char", "const", \
"continue", "default", "do", "double", \
"else", "enum", "extern", "float", "for", \
"goto", "if", "int", "long", "register", \
"return", "short", "signed", "sizeof", \
"static", "struct", "switch", "typedef", \
"union", "unsigned", "void", "volatile", \
"while"
};
int i;
/* If the "function" being called is actually a keyword, then ignore it */
for (i = 0; i < 32; i++) {
if (!strcmp(toAdd.name, keywords[i])) {
return;
}
}
if (!*list) {
*allocatedSize = 10;
*list = calloc(*allocatedSize, sizeof(struct functionInfo));
if (!*list) {
printf("Failed to allocate %lu elements of %lu bytes each.\n", \
*allocatedSize, sizeof(struct functionInfo));
abort();
}
(*list)[0].name = malloc(strlen(toAdd.name)+1);
if (!(*list)[0].name) {
printf("Failed to allocate %lu bytes.\n", strlen(toAdd.name)+1);
abort();
}
strcpy((*list)[0].name, toAdd.name);
(*list)[0].timesCalled = 1;
(*list)[0].marked = 0;
*numElements = 1;
} else {
char found = 0;
unsigned int i;
for (i = 0; i < *numElements; i++) {
if (!strcmp((*list)[i].name, toAdd.name)) {
found = 1;
(*list)[i].timesCalled++;
break;
}
}
if (!found) {
struct functionInfo* newList = calloc((*allocatedSize)+10, \
sizeof(struct functionInfo));
if (!newList) {
printf("Failed to allocate %lu elements of %lu bytes each.\n", \
(*allocatedSize)+10, sizeof(struct functionInfo));
abort();
}
memcpy(newList, *list, (*allocatedSize)*sizeof(struct functionInfo));
free(*list);
*allocatedSize += 10;
*list = newList;
(*list)[*numElements].name = malloc(strlen(toAdd.name)+1);
if (!(*list)[*numElements].name) {
printf("Failed to allocate %lu bytes.\n", strlen(toAdd.name)+1);
abort();
}
strcpy((*list)[*numElements].name, toAdd.name);
(*list)[*numElements].timesCalled = 1;
(*list)[*numElements].marked = 0;
(*numElements)++;
}
}
}
void printList(struct functionInfo** list, size_t numElements)
{
char maxSet = 0;
unsigned int i;
size_t maxIndex = 0;
for (i = 0; i<10; i++) {
maxSet = 0;
size_t j;
for (j = 0; j<numElements; j++) {
if (!maxSet || (*list)[j].timesCalled > (*list)[maxIndex].timesCalled) {
if (!(*list)[j].marked) {
maxSet = 1;
maxIndex = j;
}
}
}
(*list)[maxIndex].marked = 1;
printf("%s() called %d times.\n", (*list)[maxIndex].name, \
(*list)[maxIndex].timesCalled);
}
}
void freeList(struct functionInfo** list, size_t numElements)
{
size_t i;
for (i = 0; i<numElements; i++) {
free((*list)[i].name);
}
free(*list);
}
char* extractFunctionName(char* readHead)
{
char* identifier = readHead;
if (isalpha(*identifier) || *identifier == '_') {
while (isalnum(*identifier) || *identifier == '_') {
identifier++;
}
}
/* Search forward for spaces and then an open parenthesis
* but do not include this in the function name.
*/

char* toParen = identifier;
if (toParen == readHead) return NULL;
while (isspace(*toParen)) {
toParen++;
}
if (*toParen != '(') return NULL;
/* Copy the found function name to the output string */
ptrdiff_t size = (ptrdiff_t)((ptrdiff_t)identifier) \
- ((ptrdiff_t)readHead)+1;
char* const name = malloc(size);
if (!name) {
printf("Failed to allocate %lu bytes.\n", size);
abort();
}
name[size-1] = '\0';
memcpy(name, readHead, size-1);
/* Function names can't be blank */
if (strcmp(name, "")) {
return name;
}
free(name);
return NULL;
}
int main(int argc, char** argv)
{
int i;
for (i = 1; i<argc; i++) {
errno = 0;
FILE* file = fopen(argv[i], "r");
if (errno || !file) {
printf("fopen() failed with error code \"%s\"\n", \
strerror(errno));
abort();
}
char comment = 0;
#define DOUBLEQUOTE 1
#define SINGLEQUOTE 2
int string = 0;
struct functionInfo* functions = NULL;
struct functionInfo toAdd;
size_t numElements = 0;
size_t allocatedSize = 0;
struct stat metaData;
errno = 0;
if (fstat(fileno(file), &metaData) < 0) {
printf("fstat() returned error \"%s\"\n", strerror(errno));
abort();
}
char* mmappedSource = (char*)mmap(NULL, metaData.st_size, PROT_READ, \
MAP_PRIVATE, fileno(file), 0);
if (errno) {
printf("mmap() failed with error \"%s\"\n", strerror(errno));
abort();
}
if (!mmappedSource) {
printf("mmap() returned NULL.\n");
abort();
}
char* readHead = mmappedSource;
while (readHead < mmappedSource + metaData.st_size) {
while (*readHead) {
/* Ignore comments inside strings */
if (!string) {
if (*readHead == '/' && !strncmp(readHead, "/*", 2)) {
comment = 1;
}
if (*readHead == '*' && !strncmp(readHead, "*/", 2)) {
comment = 0;
}
}
/* Ignore strings inside comments */
if (!comment) {
if (*readHead == '"') {
if (!string) {
string = DOUBLEQUOTE;
} else if (string == DOUBLEQUOTE) {
/* Only toggle string mode if the quote character
* is not escaped
*/

if (strncmp((readHead-1), "\\\"", 2)) {
string = 0;
}
}
}
if (*readHead == '\'') {
if (!string) {
string = SINGLEQUOTE;
} else if (string == SINGLEQUOTE) {
if (strncmp((readHead-1), "\\\'", 2)) {
string = 0;
}
}
}
}
/* Look for identifiers outside of any comment or string */
if (!comment && !string) {
char* name = extractFunctionName(readHead);
/* Don't read part of an identifier on the next iteration */
if (name) {
toAdd.name = name;
addToList(&functions, toAdd, &numElements, &allocatedSize);
readHead += strlen(name);
}
free(name);
}
readHead++;
}
}
errno = 0;
munmap(mmappedSource, metaData.st_size);
if (errno) {
printf("munmap() returned error \"%s\"\n", strerror(errno));
abort();
}
errno = 0;
fclose(file);
if (errno) {
printf("fclose() returned error \"%s\"\n", strerror(errno));
abort();
}
printList(&functions, numElements);
freeList(&functions, numElements);
}
return 0;
}

[edit] Forth

Counts colon definitions, variables, constants, words defined by definers like CREATE..DOES>, etc. Check for levels of top from command line, by default 4. GForth 0.7.0 specific.

' noop is bootmessage
 
\ --- LIST OF CONSTANTS
\ WORD# maximum word size
\ RING# size of `Rings' element
\ DEFS definitions
\ KEYS
\
\ --- LIST OF VARIABLES
\ cmpl? is compiling?
\ cword current compiled word
 
wordlist constant DEFS
wordlist constant KEYS
 
\ --- Compiling
50 constant WORD#
: >>fPAD ( ca u -- ; u < 51 )
PAD 80 blank s" create " PAD swap MOVE
s" 1 , DOES> 1 swap +! ;" PAD 57 + swap MOVE
WORD# min PAD 7 + swap MOVE ;
 
: funcmpl ( ca u -- )
>>fPAD current @ DEFS current !
PAD 80 evaluate current ! ;
 
: >>kPAD ( ca u -- ; )
PAD 80 blank s" : " PAD swap MOVE
s" parse-name funcmpl ;" PAD 59 + swap MOVE
WORD# min PAD 2 + swap MOVE ;
 
: keycmpl ( ca u -- )
>>kPAD current @ KEYS current !
PAD 80 evaluate current ! ;
 
\ --- Interpreter
: intp BEGIN parse-name dup
WHILE ( ca u )
2dup KEYS search-wordlist
IF execute 2drop
ELSE DEFS search-wordlist IF execute THEN
THEN
REPEAT 2drop ;
 
: run BEGIN refill WHILE intp REPEAT ;
 
\ --- Lists&Rings
warnings OFF
: LIST ( node -- ) ]] BEGIN @ dup WHILE >R [[ ; immediate
warnings ON
: LOOP-LIST ( -- ) ]] R> REPEAT drop [[ ; immediate
 
: empty-ring? ( node -- f ) dup @ = ;
: RING ( node -- ) ]] dup BEGIN @ 2dup <> WHILE 2>R [[ ; immediate
: LOOP-RING ( -- ) ]] 2R> REPEAT 2drop [[ ; immediate
 
: new-node ( -- node )
here dup , ;
: do-link ( node new-node -- ; do link after current node )
over @ over ! swap ! ;
 
\ --- Sorting..
: nt>freq ( nt -- n ;frequency of uses )
name>int >BODY @ ;
 
: @maxfreq ( wid -- n ;maximum frequency )
0 swap cell+
LIST ( max )
I nt>freq 2dup <
IF nip ELSE drop THEN
LOOP-LIST ;
 
2 cells constant RING#
: rings-vec ( u -- a size ; create vector of rings )
here over 1+ 0
DO new-node drop 0 , LOOP
swap RING# * ;
 
: populate-by ( a wid -- )
cell+
LIST
dup I nt>freq RING# * + \ root-node
new-node I , \ new-node
do-link
LOOP-LIST drop ;
 
\ --- Display TOP
: node>nt cell+ @ ;
 
: .ring ( root-node -- )
0 swap
RING
dup 0= IF I node>nt nt>freq . THEN
space I node>nt name>string type
1+
LOOP-RING drop cr ;
 
: .top ( a size n -- )
-rot BOUNDS swap
?DO ( n )
I empty-ring? 0= IF 1- I .ring THEN
dup 0= IF drop UNLOOP EXIT THEN
[ RING# negate ] LITERAL +LOOP drop ;
 
: args>top# ( -- n )
1 arg 2dup 0 0 d<>
IF >float
IF f>d d>s dup 0= IF drop 4 THEN
ELSE 4 THEN
ELSE 2drop 4 THEN ;
 
 
\ --- KEYS behaviour
variable cmpl? cmpl? OFF
2variable cword
here WORD# allot 0 cword 2!
 
current @ KEYS current !
: create
cmpl? @
IF cword 2@ keycmpl
ELSE parse-name funcmpl THEN ;
 
: constant
cmpl? @
IF cword 2@ keycmpl
ELSE parse-name funcmpl THEN ;
 
: variable parse-name funcmpl ;
: value parse-name funcmpl ;
: defer parse-name funcmpl ;
 
: ( BEGIN >in @ [char] ) parse nip >in @ rot - =
WHILE refill 0= IF exit THEN REPEAT ;
: \ 10 parse 2drop ;
: \G 10 parse 2drop ;
: S" [char] " parse 2drop ;
: ." [char] " parse 2drop ;
 
: [']
parse-name DEFS search-wordlist IF execute THEN ;
: postpone
parse-name DEFS search-wordlist IF execute THEN ;
 
: ; cmpl? OFF ;
: : warnings OFF
parse-name
cword 2@ drop WORD# rot umin dup >R MOVE
cword 2@ drop R> cword 2!
cword 2@ cmpl? @
IF keycmpl \ `:' inside def. = a defining word
ELSE funcmpl THEN
cmpl? ON
warnings ON
;
current !
 
\ Run, ruuun!
stdin ' run execute-parsing-file DEFS @maxfreq rings-vec over DEFS populate-by args>top# .top bye
 

Self test:

$ 
$ gforth funfreq.fs 10 < funfreq.fs 
7  DEFS funcmpl cmpl?
5  WORD#
4  KEYS keycmpl nt>freq RING#
3  LIST LOOP-LIST new-node node>nt
2  >>fPAD >>kPAD intp run empty-ring? RING LOOP-RING do-link @maxfreq rings-vec populate-by .ring .top args>top#
1  create constant variable value defer ( \ \G S" ." ['] postpone ; :
$ 
$ gforth funfreq.fs < funfreq.fs    
7  DEFS funcmpl cmpl?
5  WORD#
4  KEYS keycmpl nt>freq RING#
3  LIST LOOP-LIST new-node node>nt
$

[edit] Go

Only crude approximation is currently easy in Go. The following parses source code, looks for function call syntax (an expression followed by an argument list) and prints the expression.

package main
 
import (
"fmt"
"go/ast"
"go/parser"
"go/token"
"io/ioutil"
"os"
"sort"
)
 
func main() {
if len(os.Args) != 2 {
fmt.Println("usage ff <go source filename>")
return
}
src, err := ioutil.ReadFile(os.Args[1])
if err != nil {
fmt.Println(err)
return
}
fs := token.NewFileSet()
a, err := parser.ParseFile(fs, os.Args[1], src, 0)
if err != nil {
fmt.Println(err)
return
}
f := fs.File(a.Pos())
m := make(map[string]int)
ast.Inspect(a, func(n ast.Node) bool {
if ce, ok := n.(*ast.CallExpr); ok {
start := f.Offset(ce.Pos())
end := f.Offset(ce.Lparen)
m[string(src[start:end])]++
}
return true
})
cs := make(calls, 0, len(m))
for k, v := range m {
cs = append(cs, &call{k, v})
}
sort.Sort(cs)
for i, c := range cs {
fmt.Printf("%-20s %4d\n", c.expr, c.count)
if i == 9 {
break
}
}
}
 
type call struct {
expr string
count int
}
type calls []*call
 
func (c calls) Len() int { return len(c) }
func (c calls) Swap(i, j int) { c[i], c[j] = c[j], c[i] }
func (c calls) Less(i, j int) bool { return c[i].count > c[j].count }

Output, when run on source code above:

len                     3
fmt.Println             3
f.Offset                2
make                    2
fmt.Printf              1
ioutil.ReadFile         1
a.Pos                   1
string                  1
token.NewFileSet        1
append                  1

[edit] J

The lowest approach taken here makes no effort to classify the primitives as monads nor dyads, nor as verbs, adverbs, nor conjunctions. Did "-" mean "additive inverse" or indicate subtraction? Does ";" raze or link? J is a multi-instruction single data language. Parentheses around a group of verbs form hooks or forks which affect data flow. The simple top10 verb does not find these important constructs.

 
PRIMITIVES=: ;:'!  !.  !: " ". ": # #. #: $ $. $:  %  %.  %: & &. &.: &: * *. *: + +. +: , ,. ,: - -. -: . .. .: / /. /: 0: 1: 2: 3: 4: 5: 6: 7: 8: 9:  :  :.  ::  ;  ;.  ;: < <. <: = =. =: > >. >:  ?  ?. ...'
 
Filter=: (#~`)(`:6)
 
NB. monad top10 . y is a character vector of much j source code
top10=: 10 {. \:~@:((#;{.)/.~@:(e.&PRIMITIVES Filter@:;:))
 
top10 JSOURCE NB. JSOURCE are the j Zeckendorf verbs.
┌─┬──┐
6│=.│
├─┼──┤
5│=:│
├─┼──┤
4│@:│
├─┼──┤
3│~ │
├─┼──┤
3│: │
├─┼──┤
3│+ │
├─┼──┤
3│$ │
├─┼──┤
2│|.│
├─┼──┤
2│i.│
├─┼──┤
2│/ │
└─┴──┘
 

[edit] Mathematica

programCount[fn_] :=  Reverse[If[Length[#] > 10, Take[#, -10], #] &[SortBy[Tally[Cases[DownValues[fn], s_Symbol, \[Infinity], Heads -> True]], Last]]]
Output:
The output of applying this program to itself...
programCount[programCount]

{{Slot, 3}, {Pattern, 2}, {fn, 2}, {Blank, 2}, {\[Infinity], 1}, {True, 1}, {Tally, 1}, {Take, 1}, {Symbol, 1}, {SortBy, 1}}


[edit] PicoLisp

(let Freq NIL
(for "L" (filter pair (extract getd (all)))
(for "F"
(filter atom
(fish '((X) (or (circ? X) (getd X)))
"L" ) )
(accu 'Freq "F" 1) ) )
(for X (head 10 (flip (by cdr sort Freq)))
(tab (-7 4) (car X) (cdr X)) ) )

Output, for the system in debug mode plus the above code:

quote   310
car     236
cdr     181
setq    148
let     136
if      127
and     124
cons    110
cadr     80
or       76

If the condition in the 5th line (getd X) is replaced with (sym? X), then all symbols are counted, and the output is

X       566
quote   310
car     236
cdr     181
C       160
N       157
L       155
Lst     152
setq    148
T       144

And if it is replaced with (num? X), it is

1        71
0        38
2        27
3        17
7         9
-1        9
100       8
48        6
43        6
12        6

[edit] Python

Works with: Python version 3.x

This code parses a Python source file using the built-in ast module and counts simple function calls; it won't process method calls or cases when you call the result of an expression. Also, since constructors are invoked by calling the class, constructor calls are counted as well.

import ast
 
class CallCountingVisitor(ast.NodeVisitor):
 
def __init__(self):
self.calls = {}
 
def visit_Call(self, node):
if isinstance(node.func, ast.Name):
fun_name = node.func.id
call_count = self.calls.get(fun_name, 0)
self.calls[fun_name] = call_count + 1
self.generic_visit(node)
 
filename = input('Enter a filename to parse: ')
with open(filename, encoding='utf-8') as f:
contents = f.read()
root = ast.parse(contents, filename=filename) #NOTE: this will throw a SyntaxError if the file isn't valid Python code
visitor = CallCountingVisitor()
visitor.visit(root)
top10 = sorted(visitor.calls.items(), key=lambda x: x[1], reverse=True)[:10]
for name, count in top10:
print(name,'called',count,'times')
 

The result of running the program on the ftplib module of Python 3.2:

Enter a filename to parse: c:\Python32\Lib\ftplib.py
error_reply called 10 times
print called 10 times
error_proto called 8 times
callback called 8 times
int called 7 times
repr called 7 times
isinstance called 6 times
len called 6 times
ValueError called 3 times
parse257 called 2 times

[edit] Racket

 
#lang racket
(require math)
(define in (open-input-file "function-frequency.rkt"))
(void (read-language in))
(define s-exprs (for/list ([s (in-port read in)]) s))
(define symbols (filter symbol? (flatten s-exprs)))
(define counts (sort (hash->list (samples->hash symbols)) >= #:key cdr))
(take counts (min 10 (length counts)))
 

Output:

 
'((define . 4)
(counts . 3)
(s-exprs . 2)
(s . 2)
(symbols . 2)
(a-program . 2)
(filter . 1)
(hash->list . 1)
(in-port . 1)
(sort . 1))
 


[edit] REXX

This version doesn't report on the top ten functions (subroutines), only the functions that are been counted (as implemented below).

There is no direct method of this type of counting behavior, but this technique allows a programmer to determine how many invocations there are for various functions/subroutines.

The use of the ?. stemmed variable is not specific and it can be any (seldom-used, or better yet, unused) REXX variable.
[A question mark was chosen because it most likely won't be used in most REXX programs.]
Also, the counter itself (the array index) should be unique (to avoid REXX variable name collisions).

/*REXX pgm counts frequency of various subroutine/function invocations. */
?.=0 /*initialize all funky counters. */
do j=1 to 10
factorial =  !(j)
factorial_R =  !r(j)
fibonacci = fib(j)
fibonacci_R = fibR(j)
hofstadterQ = hofsQ(j)
width = length(j) + length(length(j**j))
end /*j*/
 
say 'number of invocations for ! (factorial) = '  ?.!
say 'number of invocations for ! recursive = '  ?.!r
say 'number of invocations for Fibonacci = '  ?.fib
say 'number of invocations for Fib recursive = '  ?.fibR
say 'number of invocations for Hofstadter Q = '  ?.hofsQ
say 'number of invocations for LENGTH = '  ?.length
exit /*stick a fork in it, we're done.*/
 
/*─────────────────────────────────────! (factorial) subroutine─────────*/
!: procedure expose ?.;  ?.!=?.!+1; parse arg x;  !=1
do j=2 to x;  !=!*j; end; return !
 
/*─────────────────────────────────────!r (factorial) subroutine────────*/
!r: procedure expose ?.;  ?.!r=?.!r+1; parse arg x; if x<2 then return 1
return x * !R(x-1)
 
/*──────────────────────────────────FIB subroutine (non─recursive)──────*/
fib: procedure expose ?.; ?.fib=?.fib+1; parse arg n; na=abs(n); a=0; b=1
if na<2 then return na /*test for couple special cases. */
do j=2 to na; s=a+b; a=b; b=s; end
if n>0 | na//2==1 then return s /*if positive or odd negative... */
else return -s /*return a negative Fib number. */
 
/*──────────────────────────────────FIBR subroutine (recursive)─────────*/
fibR: procedure expose ?.; ?.fibR=?.fibr+1; parse arg n; na=abs(n); s=1
if na<2 then return na /*handle a couple special cases. */
if n <0 then if n//2==0 then s=-1
return (fibR(na-1)+fibR(na-2))*s
 
/*──────────────────────────────────HOFSQ subroutine (recursive)────────*/
hofsQ: procedure expose ?.;  ?.hofsq=?.hofsq+1; parse arg n
if n<2 then return 1
return hofsQ(n - hofsQ(n - 1)) + hofsQ(n - hofsQ(n - 2))
 
/*──────────────────────────────────LENGTH subroutine───────────────────*/
length: procedure expose ?.;  ?.length=?.length+1
return 'LENGTH'(arg(1))

output when using the input of: xxx

number of invocations for ! (factorial) =  10
number of invocations for !   recursive =  55
number of invocations for Fibonacci     =  10
number of invocations for Fib recursive =  452
number of invocations for Hofstadter Q  =  1922
number of invocations for LENGTH        =  30

[edit] Tcl

package require Tcl 8.6
 
proc examine {filename} {
global cmds
set RE "(?:^|\[\[\{\])\[\\w:.\]+"
set f [open $filename]
while {[gets $f line] >= 0} {
set line [string trim $line]
if {$line eq "" || [string match "#*" $line]} {
continue
}
foreach cmd [regexp -all -inline $RE $line] {
incr cmds([string trim $cmd "\{\["])
}
}
close $f
}
 
# Parse each file on the command line
foreach filename $argv {
examine $filename
}
# Get the command list in order of frequency
set cmdinfo [lsort -stride 2 -index 1 -integer -decreasing [array get cmds]]
# Print the top 10 (two list items per entry, so 0-19, not 0-9)
foreach {cmd count} [lrange $cmdinfo 0 19] {
puts [format "%-20s%d" $cmd $count]
}

Sample run (note that the commands found are all standard Tcl commands; they're just commands so it is natural to expect them to be found):

bash$ tclsh8.6 RosettaCode/cmdfreq.tcl RosettaCode/*.tcl 
set                 2374
expr                846
if                  775
puts                558
return              553
proc                549
incr                485
foreach             432
lindex              406
lappend             351
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