JavaScript Function Serialization

gistfile1.js

function functionReplacer(key, value) {
    if (typeof(value) === 'function') {
        return value.toString();
    }
    return value;
}

function functionReviver(key, value) {
    if (key === "") return value;
    
    if (typeof value === 'string') {
        var rfunc = /function[^\(]*\(([^\)]*)\)[^\{]*{([^\}]*)\}/,
            match = value.match(rfunc);
        
        if (match) {
            var args = match[1].split(',').map(function(arg) { return arg.replace(/\s+/, ''); });
            return new Function(args, match[2]);
        }
    }
    return value;
}
 
var person = {
        name : 'John Smith',
        age : 42,
        isJohn: function() {
            return !!this.name.match(/John/);
        }
    };

jsonString = JSON.stringify(person, functionReplacer);
restoredPerson = JSON.parse(jsonString, functionReviver);

console.log(restoredPerson.isJohn());

Hi
anyone who know how we can convert javascript function into json object
suppose this is a function

app.controller('myctrl',function($scope){

    var rec=function rec(){                                     
        var rect = new joint.shapes.basic.Rect({
        position: { x:x1 , y: y1 },
        size: { width: 100, height: 30 },
        attrs: { rect: { fill: 'red' }, text: { text: 'box' + i, fill: 'white' } }
        });
        i=i+1;
        x1=x1+120;
        graph.addCells([rect]); 



    }

}

i want to convert into json object
anyone who know plz help