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.
For more general examples and language-specific details, see Eval.
ALGOL 68
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. <lang algol>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))</lang> Output:
+8 +32
Common Lisp
<lang 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)))
</lang>
<lang lisp> (eval-with-x '(exp x) 0 1) => 1.7182817 </lang>
This version ensures that the program is compiled, once, for more efficient execution:
<lang lisp> (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)))
</lang>
E
<lang 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` def x # bind x and capture its resolver and the 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
}</lang>
<lang e>? evalWithX(e`(x :float64).exp()`, 0, 1)
- value: 1.7182818284590455</lang>
Forth
EVALUATE invokes the Forth interpreter on the given string. <lang forth>
- f-" ( a b snippet" -- )
[char] " parse ( code len ) 2dup 2>r evaluate swap 2r> evaluate - . ;
2 3 f-" dup *" \ 5 (3*3 - 2*2) </lang> This can be used to treat a data stream as code, or to provide a lightweight macro facility when used in an IMMEDIATE word. <lang forth>
- :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
</lang>
Groovy
The solution: <lang groovy>def cruncher = { x1, x2, program ->
Eval.x(x1, program) - Eval.x(x2, program)
}</lang>
Program: <lang groovy>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)</lang>
Output:
F(10) - F(5) = 55 - 5 = 50
JavaScript
eval uses the environment from the calling function.
<lang javascript>function evalWithX(expr, a, b) {
var x = a; var atA = eval(expr); x = b; var atB = eval(expr); return atB - atA;
}</lang>
<lang javascript>evalWithX('Math.exp(x)', 0, 1) // returns 1.718281828459045</lang>
Metafont
<lang 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</lang>
Octave
In Octave, undeclared variables are local.
<lang octave>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]));</lang>
Output:
6 6 6
Perl
<lang 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 * $x', 5, 10), "\n"; # Prints "15".</lang>
PHP
<lang php><?php function eval_with_x($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". ?></lang>
Python
<lang 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</lang>
A slight change allows the evaluation to take multiple names: <lang python>>>> 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</lang>
Ruby
<lang ruby>def getBinding(x)
binding
end
def eval_with_x(code, a, b)
eval(code, getBinding(b)) - eval(code, getBinding(a))
end
puts eval_with_x('2 ** x', 3, 5) # Prints "24"</lang>
Scheme
Almost identical to the Common Lisp version above. <lang scheme>(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)))</lang>
Tcl
<lang 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</lang>
Here's another take, similar to other answers. It passes a code block to be eval
ed, not just an expression for expr
<lang tcl>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</lang>