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Fair Value of Option Grant Assumptions (Parenthetical) (Detail) (Total Shareholders Return Performance-based Awards)
3 Months Ended 9 Months Ended
Apr. 30, 2015
Apr. 30, 2014
Apr. 30, 2015
Apr. 30, 2014
Total Shareholders Return Performance-based Awards
       
Share based Compensation Arrangement by Share based Payment Award, Fair Value Assumptions, Method Used [Line Items]        
Expected annual dividend yield 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= alog_TotalShareholdersReturnMember
[1] 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= alog_TotalShareholdersReturnMember
[1] 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= alog_TotalShareholdersReturnMember
[1] 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= alog_TotalShareholdersReturnMember
[1]
[1] Dividends are considered reinvested when calculating TSR. The dividend yield is therefore considered to be 0%.