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USDfalsefalse$c20120101to20120630http://www.sec.gov/CIK0001461237duration2012-01-01T00:00:002012-06-30T00:00:00U004Standardhttp://www.xbrl.org/2003/instancepurexbrli0U002Standardhttp://www.xbrl.org/2003/iso4217USDiso42170USDUSD$1true 1us-gaap_RelatedPartyTransactionsAbstractus-gaap_truenadurationfalsefalsefalsefalsefalsefalsefalsefalse1falsefalsefalse00falsefalsefalse2falsefalsefalse00falsefalsefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalsexbrli:stringItemTypestringfalse0Fees and Related Party Transactions [Abstract]2false 2gaifb_ManagementFeegaifb_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseverboseLabel1truetruefalse0.01750.0175falsefalsefalse2truetruefalse0.020.02falsefalsefalse3truetruefalse0.01750.0175falsefalsefalse4truetruefalse0.020.02falsefalsefalsenum:percentItemTypepureAmount paid to the advisor for management of the day-to-day business functions of the LLC or LP including the fee rate, basis of calculation, relevant accounting period, whether the fee is paid to an entity other than the managing member or General Partner, or whether the fee is waived.No definition available.false0Advisory fees at annual rate of net asset value of fund (in hundredths)3false 2gaifb_NoninterestExpenseRelatedToPerformanceFeesPercentagegaifb_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseverboseLabel1truetruefalse0.20.2falsefalsefalse2falsefalsefalse00falsefalsefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalsenum:percentItemTypepureIncentive fees which are compensation paid to a trading advisor or to any practitioner who achieves investment results above a specified contractual level.No definition available.false0Percentage of incentive allocation (in hundredths)4true 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