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Guarantees, Commitments and Contingencies - Additional Information (Detail) (USD $)
0 Months Ended 3 Months Ended 9 Months Ended
Oct. 11, 2011
Apr. 30, 2015
Apr. 30, 2014
Apr. 30, 2015
Apr. 30, 2014
Jul. 31, 2014
Commitments and Contingencies Disclosure [Line Items]            
Liabilities related to agreements   $ 0us-gaap_ContractualObligation   $ 0us-gaap_ContractualObligation    
Revolving credit agreement period 5 years          
Business exit cost   300,000us-gaap_BusinessExitCosts1 400,000us-gaap_BusinessExitCosts1 1,400,000us-gaap_BusinessExitCosts1 1,300,000us-gaap_BusinessExitCosts1  
Product Extended Warranty Contracts            
Commitments and Contingencies Disclosure [Line Items]            
Deferred revenue for product extended warranty contracts   5,600,000us-gaap_DeferredRevenue
/ us-gaap_LossContingenciesByNatureOfContingencyAxis
= alog_ProductExtendedWarrantyContractsMember
  5,600,000us-gaap_DeferredRevenue
/ us-gaap_LossContingenciesByNatureOfContingencyAxis
= alog_ProductExtendedWarrantyContractsMember
  7,400,000us-gaap_DeferredRevenue
/ us-gaap_LossContingenciesByNatureOfContingencyAxis
= alog_ProductExtendedWarrantyContractsMember
Revolving Credit Facility            
Commitments and Contingencies Disclosure [Line Items]            
Credit facility maximum borrow capacity 100,000,000us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
         
Credit facility, expiry date Oct. 10, 2016          
Percentage of capital stock pledge as collateral 65.00%alog_PercentageOfCapitalStockPledgedAsCollateral
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
         
Leverage ratio   0.40%alog_LeverageRatio
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
  0.40%alog_LeverageRatio
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
   
Credit facility transaction costs incurred   500,000alog_CreditFacilityTransactionCostsIncurred
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
  500,000alog_CreditFacilityTransactionCostsIncurred
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
   
Credit facility, maturity period       5 years    
Line of credit amount outstanding   0us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
  0us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
  0us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
Revolving Credit Facility | Other Revolving Credit Facilities            
Commitments and Contingencies Disclosure [Line Items]            
Credit facility available borrowing capacity   1,200,000us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= alog_OtherCreditFacilitiesMember
  1,200,000us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= alog_OtherCreditFacilitiesMember
  4,400,000us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= alog_OtherCreditFacilitiesMember
Minimum            
Commitments and Contingencies Disclosure [Line Items]            
Standard product warranty term       12 months    
Minimum | Revolving Credit Facility            
Commitments and Contingencies Disclosure [Line Items]            
Credit facility commitment fee percentage 0.20%us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
         
Interest coverage ratio   300.00%alog_InterestCoverageRatio
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
  300.00%alog_InterestCoverageRatio
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Minimum | Revolving Credit Facility | LIBOR Rate            
Commitments and Contingencies Disclosure [Line Items]            
Variable interest rate 1.25%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_VariableRateAxis
= us-gaap_LondonInterbankOfferedRateLIBORMember
         
Minimum | Revolving Credit Facility | Base Rate            
Commitments and Contingencies Disclosure [Line Items]            
Variable interest rate 0.00%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_VariableRateAxis
= us-gaap_BaseRateMember
         
Maximum            
Commitments and Contingencies Disclosure [Line Items]            
Standard product warranty term       60 months    
Maximum | Revolving Credit Facility            
Commitments and Contingencies Disclosure [Line Items]            
Aggregate available credit amount under specified circumstances 150,000,000us-gaap_LineOfCreditFacilityCapacityAvailableForSpecificPurposeOtherThanForTradePurchases
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
         
Credit facility commitment fee percentage 0.35%us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
         
Leverage ratio of total debt to earnings before interest, taxes, depreciation, and amortization or EBITDA       275.00%alog_LeverageRatioOfTotalDebtToEarningsBeforeInterestTaxDepreciationAmortization
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Maximum | Revolving Credit Facility | LIBOR Rate            
Commitments and Contingencies Disclosure [Line Items]            
Variable interest rate 2.00%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_VariableRateAxis
= us-gaap_LondonInterbankOfferedRateLIBORMember
         
Maximum | Revolving Credit Facility | Base Rate            
Commitments and Contingencies Disclosure [Line Items]            
Variable interest rate 1.00%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_VariableRateAxis
= us-gaap_BaseRateMember