Roo = typeof(Roo) != 'undefined' ? Roo : { util : { }};
Roo.util.Math = function(num, precision, roundType){
this.ctor(num,precision, roundType);
};
Roo.util.Math.ROUND_HALF_EVEN = (Roo.util.Math.ROUND_HALF_DOWN = (Roo.util.Math.ROUND_HALF_UP =
(Roo.util.Math.ROUND_FLOOR = (Roo.util.Math.ROUND_CEIL = (Roo.util.Math.ROUND_DOWN
= (Roo.util.Math.ROUND_UP = 0) + 1) + 1) + 1) + 1) + 1) + 1;
Roo.util.Math.defaultPrecision = 40;
Roo.util.Math.defaultRoundType = Roo.util.Math.ROUND_HALF_UP;
Roo.util.Math.prototype = {
_s : 0,
_f : 0,
roundType : 0,
precision : 0,
ctor : function (num, precision, roundType) {
var i;
if(num instanceof Roo.util.Math){
var o = this;
for(i in {precision: 0, roundType: 0, _s: 0, _f: 0}) o[i] = num[i];
this._d = num._d.slice();
return;
}
this.precision = isNaN(precision = Math.abs(precision)) ? Roo.util.Math.defaultPrecision : precision;
this.roundType = isNaN(r = Math.abs(roundType)) ? Roo.util.Math.defaultRoundType : roundType;
this._s = (num += "").charAt(0) == "-";
this._f = (
(num = num.replace(/[^\d.]/g, "").split(".", 2))[0] = num[0].replace(/^0+/, "") || "0"
).length;
for(i = (num = this._d = (num.join("") || "0").split("")).length; i; num[--i] = +num[i]);
this.round();
},
add : function(num)
{
num = new Roo.util.Math(num, this.precision, this.roundType);
if (this._s != num._s) { return num._s ^= 1, this.subtract(num);
}
var o = new Roo.util.Math(this),
a = o._d,
b = num._d,
la = o._f,
lb = num._f,
num = Math.max(la, lb),
i, r;
la != lb && ((lb = la - lb) > 0 ? o._zeroes(b, lb, 1) : o._zeroes(a, -lb, 1));
i = (la = a.length) == (lb = b.length) ?
a.length : (
(lb = la - lb) > 0 ? o._zeroes(b, lb) : o._zeroes(a, -lb)
).length;
for(r = 0; i;
r = (a[--i] = a[i] + b[i] + r) / 10 >>> 0,
a[i] %= 10
);
r && ++num && a.unshift(r);
o._f = num;
return o.round();
},
subtract : function(n){
if(this._s != (n = new Roo.util.Math(n, this.precision, this.roundType))._s)
return n._s ^= 1, this.add(n);
var o = new Roo.util.Math(this), c = o.abs().compare(n.abs()) + 1, a = c ? o : n, b = c ? n : o, la = a._f, lb = b._f, d = la, i, j;
a = a._d, b = b._d, la != lb && ((lb = la - lb) > 0 ? o._zeroes(b, lb, 1) : o._zeroes(a, -lb, 1));
for(i = (la = a.length) == (lb = b.length) ? a.length : ((lb = la - lb) > 0 ? o._zeroes(b, lb) : o._zeroes(a, -lb)).length; i;){
if(a[--i] < b[i]){
for(j = i; j && !a[--j]; a[j] = 9);
--a[j], a[i] += 10;
}
b[i] = a[i] - b[i];
}
return c || (o._s ^= 1), o._f = d, o._d = b, o.round();
},
multiply : function(n)
{
var o = new Roo.util.Math(this),
r = o._d.length >= (n = new Roo.util.Math(n, this.precision, this.roundType))._d.length,
a = (r ? o : n)._d,
b = (r ? n : o)._d,
la = a.length,
lb = b.length,
x = new Roo.util.Math(0,this.precision, this.roundType),
i, j, s;
for(i = lb; i;
r && s.unshift(r),
x.set(x.add(new Roo.util.Math(s.join(""), this.precision, this.roundType)))
) {
s = (new Array(lb - --i)).join("0").split(""); j = la;
for( r = 0 ; j ; r += a[--j] * b[i], s.unshift(r % 10), r = (r / 10) >>> 0);
}
o._s = o._s != n._s;
o._f = (
(r = la + lb - o._f - n._f) >= (j = (o._d = x._d).length) ?
this._zeroes(o._d, r - j + 1, 1).length :
j
) - r;
return o.round();
},
divide : function(n){
if((n = new Roo.util.Math(n, this.precision, this.roundType)) == "0")
throw new Error("Division by 0");
else if(this == "0")
return new Roo.util.Math(0, this.precision, this.roundType);
var o = new Roo.util.Math(this), a = o._d, b = n._d, la = a.length - o._f,
lb = b.length - n._f, r = new Roo.util.Math(0, this.precision, this.roundType), i = 0, j, s, l, f = 1, c = 0, e = 0;
r._s = o._s != n._s, r.precision = Math.max(o.precision, n.precision),
r._f = +r._d.pop(), la != lb && o._zeroes(la > lb ? b : a, Math.abs(la - lb));
n._f = b.length, b = n, b._s = false, b = b.round();
for(n = new Roo.util.Math(0, this.precision, this.roundType); a[0] == "0"; a.shift());
out:
do{
for(l = c = 0, n == "0" && (n._d = [], n._f = 0); i < a.length && n.compare(b) == -1; ++i){
(l = i + 1 == a.length, (!f && ++c > 1 || (e = l && n == "0" && a[i] == "0")))
&& (r._f == r._d.length && ++r._f, r._d.push(0));
(a[i] == "0" && n == "0") || (n._d.push(a[i]), ++n._f);
if(e)
break out;
if((l && n.compare(b) == -1 && (r._f == r._d.length && ++r._f, 1)) || (l = 0))
while(r._d.push(0), n._d.push(0), ++n._f, n.compare(b) == -1);
}
if(f = 0, n.compare(b) == -1 && !(l = 0))
while(l ? r._d.push(0) : l = 1, n._d.push(0), ++n._f, n.compare(b) == -1);
for(s = new Roo.util.Math(0, this.precision, this.roundType), j = 0; n.compare(y = s.add(b)) + 1 && ++j; s.set(y));
n.set(n.subtract(s)), !l && r._f == r._d.length && ++r._f, r._d.push(j);
}
while((i < a.length || n != "0") && (r._d.length - r._f) <= r.precision);
return r.round();
},
mod : function(n){
return this.subtract(this.divide(n).intPart().multiply(n));
},
pow : function(n){
var o = new Roo.util.Math(this), i;
if((n = (new Roo.util.Math(n, this.precision, this.roundType)).intPart()) == 0) return o.set(1);
for(i = Math.abs(n); --i; o.set(o.multiply(this)));
return n < 0 ? o.set((new Roo.util.Math(1, this.precision, this.roundType)).divide(o)) : o;
},
set : function(n)
{
this.ctor(n);
return this;
},
compare : function(n){
var a = this, la = this._f, b = new Roo.util.Math(n, this.precision, this.roundType), lb = b._f, r = [-1, 1], i, l;
if(a._s != b._s)
return a._s ? -1 : 1;
if(la != lb)
return r[(la > lb) ^ a._s];
for(la = (a = a._d).length, lb = (b = b._d).length, i = -1, l = Math.min(la, lb); ++i < l;)
if(a[i] != b[i])
return r[(a[i] > b[i]) ^ a._s];
return la != lb ? r[(la > lb) ^ a._s] : 0;
},
negate : function(){
var n = new Roo.util.Math(this);
return n._s ^= 1, n;
},
abs : function(){
var n = new Roo.util.Math(this);
return n._s = 0, n;
},
intPart : function(){
return new Roo.util.Math((this._s ? "-" : "", this.precision, this.roundType) + (this._d.slice(0, this._f).join("") || "0"));
},
valueOf : function() {
return this.toString();
},
toString : function(){
var o = this;
return (o._s ? "-" : "") + (o._d.slice(0, o._f).join("") || "0") + (o._f != o._d.length ? "." + o._d.slice(o._f).join("") : "");
},
toFixed : function(x) {
var n = new Roo.util.Math(this);
n.precision = x;
var ret= n.round().toString();
var lr =ret.split('.');
var l = lr.shift();
if (!x) {
return l;
}
var r = lr.length ? lr[0] : '';
for (var i = r.length; i < x; i++) {
r+= '0';
}
return l+'.'+r;
},
_zeroes : function(n, l, t){
var s = ["push", "unshift"][t || 0];
for(++l; --l; n[s](0));
return n;
},
round : function()
{
var m = Roo.util.Math;
if (typeof(m._rounding) != 'undefined') return this; m._rounding = true;
var r = this.roundType,
b = this._d,
d, p, n, x;
while( this._f > 1 && !b[0]) {
--this._f;
b.shift();
}
for(d = this._f,
p = this.precision + d,
n = b[p];
b.length > d && !b[b.length -1]; b.pop()
);
x = (this._s ? "-" : "") + (p - d ? "0." + this._zeroes([], p - d - 1).join("") : "") + 1;
if(b.length > p && typeof(n) != 'undefined') {
if (
(r == m.ROUND_UP) ||
(r == m.ROUND_CEIL && !this._s) ||
(r == m.ROUND_FLOOR && this._s) ||
(r == m.ROUND_HALF_UP && n >= 5) ||
(r == m.ROUND_HALF_DOWN && n > 5) ||
(r == m.ROUND_HALF_EVEN && n >= 5 && (b[p - 1] & 1))
) {
var ret = this.add(x);
this._d = ret._d;
b=ret._d;
}
b.splice(p, b.length - p);
}
return delete m._rounding, this;
}
};