//+ Jonas Raoni Soares Silva
//@ http://jsfromhell.com/classes/math-processor [rev. #1]

var MathProcessor = function () {
    var o = this;
    o.o = {
        "+": function (a, b) {
            return +a + b;
        },
        "-": function (a, b) {
            return a - b;
        },
        "%": function (a, b) {
            return a % b;
        },
        "/": function (a, b) {
            return a / b;
        },
        "*": function (a, b) {
            return a * b;
        },
        "^": function (a, b) {
            return Math.pow(a, b);
        },
        "~": function (a, b) {
            return Math.sqrt(a, b);
        }
    };
    o.s = {"^": 3, "~": 3, "*": 2, "/": 2, "%": 1, "+": 0, "-": 0};
    o.u = {"+": 1, "-": -1}, o.p = {"(": 1, ")": -1};
};
with ({p: MathProcessor.prototype}) {
    p.methods = {
        div: function (a, b) {
            return parseInt(a / b);
        },
        fra: function (a) {
            return a - parseInt(a);
        },
        sum: function (n1, n2, n3, n) {
            for (var r = 0, a, l = (a = arguments).length; l; r += a[--l]) {
                ;
            }
            return r;
        },
        medium: function (n1, n2, n3, n) {
            for (var r = 0, a, l = (a = arguments).length; l; r += a[--l]) {
                ;
            }
            return r / a.length;
        }
    };
    p.parse = function (e) {
        for (var n, x, _ = this, o = [], s = [x = _.RPN(e.replace(/ /g, "").split(""))]; s.length;) {
            for ((n = s[s.length - 1], --s.length); n[2]; o[o.length] = n, s[s.length] = n[3], n = n[2]) {
                ;
            }
        }
        for (; (n = o.pop()) != undefined; n[0] = _.o[n[0]](isNaN(n[2][0]) ? _.f(n[2][0]) : n[2][0], isNaN(n[3][0]) ? _.f(n[3][0]) : n[3][0])) {
            ;
        }
        return +x[0];
    };
    p.RPN = function (e) {
        var x, r, _ = this, c = r = [, , , 0];
        if (e[0] in _.u || !e.unshift("+")) {
            for (; e[1] in _.u; e[0] = _.u[e.shift()] * _.u[e[0]] + 1 ? "+" : "-") {
                ;
            }
        }
        (c[3] = [_.u[e.shift()], c, , 0])[1][0] = "*", (r = [, , c, 0])[2][1] = r;
        (c[2] = _.v(e))[1] = c;
        (!e.length && (r = c)) || (e[0] in _.s && ((c = r)[0] = e.shift(), !e.length && _.error()));
        while (e.length) {
            if (e[0] in _.u) {
                for (; e[1] in _.u; e[0] = _.u[e.shift()] * _.u[e[0]] + 1 ? "+" : "-") {
                    ;
                }
                (c = c[3] = ["*", c, , 0])[2] = [-1, c, , 0];
            }
            (c[3] = _.v(e))[1] = c;
            e[0] in _.s && (c = _.s[e[0]] > _.s[c[0]] ?
                ((c[3] = (x = c[3], c[2]))[1][2] = [e.shift(), c, x, 0])[2][1] = c[2]
                : r == c ? (r = [e.shift(), , c, 0])[2][1] = r
                : ((r[2] = (x = r[2], [e.shift(), r, , 0]))[2] = x)[1] = r[2]);
        }
        return r;
    };
    p.v = function (e) {
        var i, j, l, _ = this;
        if ("0123456789.".indexOf(e[0]) + 1) {
            for (i = -1, l = e.length; ++i < l && "0123456789.".indexOf(e[i]) + 1;) {
                ;
            }
            return [+e.splice(0, i).join(""), , , 0];
        }
        else if (e[0] == "(") {
            for (i = 0, l = e.length, j = 1; ++i < l && (e[i] in _.p && (j += _.p[e[i]]), j);) {
                ;
            }
            return _.RPN(l = e.splice(0, i), l.shift(), !j && e.shift());
        }
        else {
            if (((j = e[0].toLowerCase()) >= "a" && j <= "z") || j == "_") {
                for (i = 0; ((j = e[++i].toLowerCase()) >= "a" && j <= "z") || j == "_" || (j >= 0 && j <= 9);) {
                    ;
                }
                if (j == "(") {
                    for (var l = e.length, j = 1; ++i < l && (e[i] in _.p && (j += _.p[e[i]]), j);) {
                        ;
                    }
                    return [e.splice(0, i + 1).join(""), , , 0];
                }
            }
        }
        _.error();
    };
    p.f = function (e) {
        var n, i = 0, _ = this;
        if (((e = e.split(""))[i] >= "a" && e[i] <= "z") || e[i] == "_") {
            while ((e[++i] >= "a" && e[i] <= "z") || e[i] == "_" || (e[i] >= 0 && e[i] <= 9)) {
                ;
            }
            if (e[i] == "(") {
                !_.methods[n = e.splice(0, i).join("")] && _.error("Function \"" + n + "\" not found"), e.shift();
                for (var a = [], i = -1, j = 1; e[++i] && (e[i] in _.p && (j += _.p[e[i]]), j);) {
                    j == 1 && e[i] == "," && (a.push(_.parse(e.splice(0, i).join(""))), e.shift(), i = -1);
                }
                a.push(_.parse(e.splice(0, i).join(""))), !j && e.shift();
            }
            return _.methods[n].apply(_, a);
        }
    };
    p.error = function (s) {
        return;
        //throw new Error("MathProcessor: " + (s || "Wrong expression"));
    };
}