Runtime evaluation/In an environment

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Task
Runtime evaluation/In an environment
You are encouraged to solve this task according to the task description, using any language you may know.
Given a program in the language (as a string or AST) with a free variable named x (or another name if that is not valid syntax), evaluate it with x bound to a provided value, then evaluate it again with x bound to another provided value, then subtract the result of the first from the second and return or print it.

Do so in a way which:

  • does not involve string manipulation of the input source code
  • is plausibly extensible to a runtime-chosen set of bindings rather than just x
  • does not make x a global variable

or note that these are impossible.

Contents

[edit] See also

[edit] ALGOL 68

Works with: ALGOL 68G version Any - tested with release mk15-0.8b.fc9.i386 - this implementation is an interpretor, and evaluate is an extension to the standard

Variable names are generally not visible at run time with classic compilers. However ALGOL 68G is an interpretor and it retains this ability. Note that evaluate returns a string.

PROC eval_with_x = (STRING code, INT a, b)STRING:
(INT x=a; evaluate(code) ) + (INT x=b; evaluate(code));
print((eval_with_x("2 ** x", 3, 5), new line))

Output:

         +8        +32

[edit] AutoHotkey

Works with: AutoHotkey_H

AutoHotkey does not provide an API to the local symbol table. Local variables are also not supported within scopes outside functions. However, a local environment can be simulated by wrapping code in a temporary function.

msgbox % first := evalWithX("x + 4", 5)
msgbox % second := evalWithX("x + 4", 6)
msgbox % second - first
return
 
evalWithX(expression, xvalue)
{
global script
script =
(
expression(){
x = %xvalue% ; := would need quotes
return %expression%
}
)
renameFunction("expression", "") ; remove any previous expressions
gosub load ; cannot use addScript inside a function yet
exp := "expression"
return %exp%()
}
 
load:
DllCall(A_AhkPath "\addScript","Str",script,"Uchar",0,"Cdecl UInt")
return
 
renameFunction(funcName, newname){
static
x%newname% := newname ; store newname in a static variable so its memory is not freed
strput(newname, &x%newname%, strlen(newname) + 1)
if fnp := FindFunc(funcName)
numput(&x%newname%, fnp+0, 0, "uint")
}

[edit] BBC BASIC

      expression$ = "x^2 - 7"
one = FN_eval_with_x(expression$, 1.2)
two = FN_eval_with_x(expression$, 3.4)
PRINT two - one
END
 
DEF FN_eval_with_x(expr$, x)
= EVAL(expr$)

[edit] Common Lisp

(defun eval-with-x (program a b)
(let ((at-a (eval `(let ((x ',a)) ,program)))
(at-b (eval `(let ((x ',b)) ,program))))
(- at-b at-a)))
(eval-with-x '(exp x) 0 1)
=> 1.7182817

This version ensures that the program is compiled, once, for more efficient execution:

(defun eval-with-x (program a b)
(let* ((f (compile nil `(lambda (x) ,program)))
(at-a (funcall f a))
(at-b (funcall f b)))
(- at-b at-a)))

[edit] E

# Constructing an environment has to be done by way of evaluation
#for historical reasons which will hopefully be entirely eliminated soon.
def bindX(value) {
def [resolver, env] := e` # bind x and capture its resolver and the
def x # resulting environment
`
.evalToPair(safeScope)
resolver.resolve(value) # set the value
return env
}
 
def evalWithX(program, a, b) {
def atA := program.eval(bindX(a))
def atB := program.eval(bindX(b))
return atB - atA
}
? evalWithX(e`(x :float64).exp()`, 0, 1)
# value: 1.7182818284590455

[edit] Erlang

 
-module( runtime_evaluation ).
 
-export( [task/0] ).
 
task() ->
Form = form_from_string( "X." ),
Variable1 = evaluate_form( Form, {'X', 1} ),
io:fwrite( "~p~n", [Variable1] ),
Variable2 = evaluate_form( Form, {'X', 2} ),
io:fwrite( "~p~n", [Variable2] ),
io:fwrite( "~p~n", [Variable2 - Variable1] ).
 
 
 
evaluate_form( Form, {Variable_name, Value} ) ->
Bindings = erl_eval:add_binding( Variable_name, Value, erl_eval:new_bindings() ),
{value, Evaluation, _} = erl_eval:expr( Form, Bindings ),
Evaluation.
 
form_from_string( String ) ->
{ok, Tokens, _} = erl_scan:string( String ),
{ok, [Form]} = erl_parse:parse_exprs( Tokens ),
Form.
 
Output:
14> runtime_evaluation:task().
1
2
1

[edit] Forth

EVALUATE invokes the Forth interpreter on the given string.

: f-" ( a b snippet" -- )
[char] " parse ( code len )
2dup 2>r evaluate
swap 2r> evaluate
- . ;
 
2 3 f-" dup *" \ 5 (3*3 - 2*2)

This can be used to treat a data stream as code, or to provide a lightweight macro facility when used in an IMMEDIATE word.

: :macro ( "name <char> ccc<char>" -- )
 : [CHAR] ; PARSE POSTPONE SLITERAL POSTPONE EVALUATE
POSTPONE ; IMMEDIATE
;
 
:macro times 0 do ;
 
: test 8 times ." spam " loop ;
 
see test
: test
8 0
DO .\" spam "
LOOP
 ; ok

[edit] Genyris

One way is to use a macro. In genyris, macros are lazy functions which execute twice, the return value is also evaluated in the caller's environment:

defmacro add100() (+ x 100)
 
var x 23
var firstresult (add100)
x = 1000
print
+ firstresult (add100)

This prints 1223.

Another way is to use dynamically scoped variables. In Genyris, symbols prefixed with a period are looked up in the caller's environment, not the lexical environment of the closure. When a dictionary is the first element of the expression, an environment is created and the &rest is evaluated.

def add100() (+ .x 100)
 
(dict) # create an environment capable of holding dynamic bindings
var .x 23 # create a binding in the dictionary
var firstresult (add100)
.x = 1000
print
+ firstresult (add100)

Dictionaries can hold bindings to dynamic symbols. To minimize the danger of dynamic scope there is no recursive ascent in the binding lookup.

(dict)                 
var .x 23
(dict)
print .x # fails

[edit] Go

package main
 
import (
"bitbucket.org/binet/go-eval/pkg/eval"
"fmt"
"go/parser"
"go/token"
)
 
func main() {
// an expression on x
squareExpr := "x*x"
 
// parse to abstract syntax tree
fset := token.NewFileSet()
squareAst, err := parser.ParseExpr(squareExpr)
if err != nil {
fmt.Println(err)
return
}
// create an environment or "world"
w := eval.NewWorld()
 
// allocate a variable
wVar := new(intV)
 
// bind the variable to the name x
err = w.DefineVar("x", eval.IntType, wVar)
if err != nil {
fmt.Println(err)
return
}
// bind the expression AST to the world
squareCode, err := w.CompileExpr(fset, squareAst)
if err != nil {
fmt.Println(err)
return
}
// directly manipulate value of variable within world
*wVar = 5
// evaluate
r0, err := squareCode.Run()
if err != nil {
fmt.Println(err)
return
}
// change value
*wVar--
// revaluate
r1, err := squareCode.Run()
if err != nil {
fmt.Println(err)
return
}
// print difference
fmt.Println(r0.(eval.IntValue).Get(nil) - r1.(eval.IntValue).Get(nil))
}
 
// int value implementation.
type intV int64
 
func (v *intV) String() string { return fmt.Sprint(*v) }
func (v *intV) Get(*eval.Thread) int64 { return int64(*v) }
func (v *intV) Set(_ *eval.Thread, x int64) { *v = intV(x) }
func (v *intV) Assign(t *eval.Thread, o eval.Value) {
*v = intV(o.(eval.IntValue).Get(t))
}

Output:

9

[edit] Groovy

The solution:

def cruncher = { x1, x2, program ->
Eval.x(x1, program) - Eval.x(x2, program)
}

Test Program:

def fibonacciProgram = '''
x < 1 ? 0 : x == 1 ? 1 : (2..x).inject([0,1]){i, j -> [i[1], i[0]+i[1]]}[1]
'''

 
println "F(${10}) - F(${5}) = ${Eval.x(10, fibonacciProgram)} - ${Eval.x(5, fibonacciProgram)} = " + cruncher(10, 5, fibonacciProgram)

Output:

F(10) - F(5) = 55 - 5 = 50

[edit] J

[edit] Explicit

The following satisfies the requirements:

   EvalWithX=. monad : 0
'CODE V0 V1'=. y
(". CODE [ x=. V1) - (". CODE [ x=. V0)
)
 
EvalWithX '^x';0;1
1.71828183

[edit] Tacit

However, it is easier via point-free coding:

   (0&({::) -~&>/@:(128!:2&.>) 1 2&{) '^';0;1
1.71828183

[edit] Explicit again

Or, using y as the free variable, instead of x:

EvalDiffWithY=: dyad define
-~/verb def x"_1 y
)

Example use:

   '^y' EvalDiffWithY 0 1
1.71828

This can be extended to support a user declared argument name:

EvalDiffWithName=: adverb define
:
-~/m adverb def ('(m)=.y';x)"_1 y
)

This works by preceding the user provided expression with a statement which assigns the argument value to a local variable whose name was provided by the user. [Note that this implementation skirts the requirement that the implementation does not manipulate strings -- instead we manipulate a structure containing strings.]

Example use:

  '^George' 'George' EvalDiffWithName 0 1
1.71828
'Z + 2^Z' 'Z' EvalDiffWithName 2 3
5

Of course this could be re-defined such that the free variable declaration appears to the left of the expression ('Z' 'Z + 2^Z' Example 2 3). However, J's currying and precedence rules might make that less convenient to use, if this were ever used in a real program.

[edit] Java

This example is incorrect. It seems to evaluate a program written in Javascript, not in Java. This contradicts the task requirements. Please fix the code and remove this message.
Works with: Java version 6+

Java is compiled static language and expression evaluation is not intrinsic part of Java or the standard libraries. In scripting languages for example - it makes sense to have eval method, as interpreter can interpret string and include its contents as part of the surrounding methods, with complete access to local variables.

Clearly there are lots of ways to get around the problem, but as of Java 6, Java can contain scripting environments. For example Mozilla Rihno JavaScript engine is contained in JDK 6 Bean Scripting Framework.

Example:

ScriptEngine js = new ScriptEngineManager().getEngineByName("js");
System.out.println(js.eval("function D(x){return x*2;} var x=3; x=D(x);"));

Output:

6.0

[edit] JavaScript

eval uses the environment from the calling function.

function evalWithX(expr, a, b) {
var x = a;
var atA = eval(expr);
x = b;
var atB = eval(expr);
return atB - atA;
}
evalWithX('Math.exp(x)', 0, 1) // returns 1.718281828459045

[edit] Liberty BASIC

 
 
expression$ = "x^2 - 7"
Print (EvaluateWithX(expression$, 5) - EvaluateWithX(expression$, 3))
End
 
Function EvaluateWithX(expression$, x)
EvaluateWithX = Eval(expression$)
End Function

[edit] Lua

 
code = loadstring"return x^2" --this doesn't really need to be input, does it?
val1 = setfenv(code, {x = io.read() + 0})()
val2 = setfenv(code, {x = io.read() + 0})()
print(val2 - val1)
 

[edit] Mathematica

Input source code is "10 x" , X is locally bound to 3 & 2 and the resulting expressions evaluated.
(10 x /. x -> 3 ) - (10 x /. x -> 2 )
-> 10



[edit] Metafont

vardef evalit(expr s, va, vb) =
save x,a,b; x := va; a := scantokens s;
x := vb; b := scantokens s; a-b
enddef;
 
show(evalit("2x+1", 5, 3));
end

[edit] Octave

In Octave, undeclared variables are local.

function r = calcit(f, val1, val2)
x = val1;
a = eval(f);
x = val2;
b = eval(f);
r = b-a;
endfunction
 
p = "x .* 2";
disp(calcit(p, [1:3], [4:6]));

Output:

6   6   6

[edit] ooRexx

The ooRexx interpret instruction executes dynamically created ooRexx code in the current variable context.

 
say evalWithX("x**2", 2)
say evalWithX("x**2", 3.1415926)
 
::routine evalWithX
use arg expression, x
 
-- X now has the value of the second argument
interpret "return" expression
 

Output:

4
9.86960406

[edit] Oz

declare
fun {EvalWithX Program A B}
{Compiler.evalExpression Program env('X':B) _}
-
{Compiler.evalExpression Program env('X':A) _}
end
in
{Show {EvalWithX "{Exp X}" 0.0 1.0}}

[edit] PARI/GP

There are many ways of doing this depending on the particular interpretation of the requirements. This code assumes that f is a string representing a GP closure.

test(f,a,b)=f=eval(f);f(a)-f(b);
test("x->print(x);x^2-sin(x)",1,3)

[edit] Perl

sub eval_with_x
{my $code = shift;
my $x = shift;
my $first = eval $code;
$x = shift;
return eval($code) - $first;}
 
print eval_with_x('3 * $x', 5, 10), "\n"; # Prints "15".

[edit] Perl 6

sub eval_with_x($code, *@x) { [R-] @x.map: -> \x { eval $code } }
 
say eval_with_x('3 * x', 5, 10); # Says "15".
say eval_with_x('3 * x', 5, 10, 50); # Says "135".

[edit] PHP

<?php
function eval_with_x($code, $a, $b) {
$x = $a;
$first = eval($code);
$x = $b;
$second = eval($code);
return $second - $first;
}
 
echo eval_with_x('return 3 * $x;', 5, 10), "\n"; # Prints "15".
?>

[edit] PicoLisp

(let Expression '(+ X (* X X))            # Local expression
(println
(+
(let X 3
(eval Expression) )
(let X 4
(eval Expression) ) ) )
(let Function (list '(X) Expression) # Build a local function
(println
(+
(Function 3)
(Function 4) ) ) ) )

Output:

32
32

[edit] Pike

Pike can only compile complete classes. therefore binding a value to a variable is only possible by string manipulation. even Pikes own interactive mode which seemingly evaluates expressions wraps them into a class and replaces variable references before compiling:

> int x=10;
Result: 10
> x * 5;
Result: 50
> dump wrapper
Last compiled wrapper:
001: mapping(string:mixed) ___hilfe = ___Hilfe->variables;
002: # 1
003: mixed ___HilfeWrapper() { return (([mapping(string:int)](mixed)___hilfe)->x) * 5; ; }
004:
>

___Hilfe is an object which stores all created variables;

to solve the problem in the task i would create a function that can take arguments:

string payload = "x * 5";
 
program demo = compile_string("string eval(mixed x){ " + payload + "; }");
 
demo()->eval(10);
Result: 50
demo()->eval(20);
Result: 100

[edit] Python

>>> def eval_with_x(code, a, b):
return eval(code, {'x':b}) - eval(code, {'x':a})
 
>>> eval_with_x('2 ** x', 3, 5)
24

A slight change allows the evaluation to take multiple names:

>>> def eval_with_args(code, **kwordargs):
return eval(code, kwordargs)
 
>>> code = '2 ** x'
>>> eval_with_args(code, x=5) - eval_with_args(code, x=3)
24
>>> code = '3 * x + y'
>>> eval_with_args(code, x=5, y=2) - eval_with_args(code, x=3, y=1)
7

[edit] R

We can set up thing so that the "unbound" variable can be any accepted symbol for variables.

evalWithAB <- function(expr, var, a, b) {
env <- new.env() # provide a separate env, so that the choosen
assign(var, a, envir=env) # var name do not collide with symbols inside
# this function (e.g. it could be even "env")
atA <- eval(parse(text=expr), env)
# and then evaluate the expression inside this
# ad hoc env-ironment
assign(var, b, envir=env)
atB <- eval(parse(text=expr), env)
return(atB - atA)
}
 
print(evalWithAB("2*x+1", "x", 5, 3))
print(evalWithAB("2*y+1", "y", 5, 3))
print(evalWithAB("2*y+1", "x", 5, 3)) # error: object "y" not found

[edit] Racket

Same hack as the on in the CL/Scheme entries:

 
#lang racket
(define ns (make-base-namespace))
(define (eval-with-x code a b)
(define (with v) (eval `(let ([x ',v]) ,code) ns))
(- (with b) (with a)))
 

Better: a more direct use of eval with just the code (for example, this won't break if we use a namespace with a different meaning for let, which is very possible in Racket):

 
#lang racket
(define ns (make-base-namespace))
(define (eval-with-x code a b)
(define (with v)
(namespace-set-variable-value! 'x v #f ns)
(eval code ns))
(- (with b) (with a)))
 

[edit] REBOL

prog: [x * 2]
fn: func [x] [do bind prog 'x]
a: fn 2
b: fn 4
subtract b a

Result:

4

[edit] REXX

/*REXX program to demonstrate some run-time evaulations.                */
 
a=fact(3)
b=fact(4)
say b-a
exit /*stick a fork in it, we're done.*/
 
/*───────────────────────────────────FACT subroutine────────────────────*/
fact: procedure; parse arg n; !=1; do j=2 to n;  !=!*j; end; return !

output

18

[edit] Ruby

def bind_x_to_value(x)
binding
end
 
def eval_with_x(code, a, b)
eval(code, bind_x_to_value(b)) - eval(code, bind_x_to_value(a))
end
 
puts eval_with_x('2 ** x', 3, 5) # Prints "24"

The magic here is how the binding method works with the bind_x_to_value(x) method. When bind_x_to_value is called, it sets its local variable x to the value passed. The binding method then returns a reference to the current context (or stack frame) to the caller. eval can then use the local variable x in this context.

[edit] Scheme

Almost identical to the Common Lisp version above.

(define (eval-with-x prog a b)
(let ((at-a (eval `(let ((x ',a)) ,prog)))
(at-b (eval `(let ((x ',b)) ,prog))))
(- at-b at-a)))

[edit] SNOBOL4

This program defines (at runtime) a function triple(), compiles it, and then executes it twice, with values x = 1 and then x = 3. The program subtracts the returned value from the first call from the value returned from the first call, and prints the result. In this example, the value x is passed as a parameter to the function triple().

     compiled = code(' define("triple(x)") :(a);triple triple = 3 * x :(return)')  :<compiled>
a x = 1
first = triple(x)
x = 3
output = triple(x) - first
end

Output:

6

If you specifically wanted to not pass x as a parameter but instead use it as a value from the environment, that's easy too:

     compiled = code(' define("triple()") :(a);triple triple = 3 * x :(return)')  :<compiled>
a x = 1
first = triple(x)
x = 3
output = triple(x) - first
end

The output is the same.

[edit] Tcl

proc eval_twice {func a b} {
set x $a
set 1st [expr $func]
set x $b
set 2nd [expr $func]
expr {$2nd - $1st}
}
 
puts [eval_twice {2 ** $x} 3 5] ;# ==> 24

Here's another take, similar to other answers. It passes a code block to be evaled, not just an expression for expr

proc eval_with_x {code val1 val2} {
expr {[set x $val2; eval $code] - [set x $val1; eval $code]}
}
eval_with_x {expr {2**$x}} 3 5 ;# ==> 24

[edit] TI-89 BASIC

evalx(prog, a, b)
Func
Local x,eresult1,eresult2
a→x
expr(prog)→eresult1
b→x
expr(prog)→eresult2
Return eresult2-eresult1
EndFunc
 
■ evalx("ℯ^x", 0., 1)
1.71828

There are no facilities for control over the environment; expr() evaluates in the same environment as the caller, including local variables. [Someone please verify this statement.]

[edit] UNIX Shell

The backquotes ` ... ` capture the standard output of a subshell. Changes to parameter x in the subshell will not affect its parent shell.

eval_with_x() {
set -- "`x=$2; eval "$1"`" "`x=$3; eval "$1"`"
expr "$2" - "$1"
}
 
eval_with_x '
# compute 2 ** $x
p=1
while test $x -gt 0; do
p=`expr $p \* 2`
x=`expr $x - 1`
done
echo $p
'
3 5
# Prints '24'
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