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  <xs:element id="cmpo_PaymentOfDistributionsRecapitalization" abstract="false" name="PaymentOfDistributionsRecapitalization" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementMaturityTableTextBlock" abstract="false" name="TaxReceivableAgreementMaturityTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsWeightedAverageRemainingContractualTermAbstract" abstract="true" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsWeightedAverageRemainingContractualTermAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_ConvertibleDebtRedemptionVolumeWeightedAveragePriceThresholdTradingDays" abstract="false" name="ConvertibleDebtRedemptionVolumeWeightedAveragePriceThresholdTradingDays" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPercentageYearSix" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPercentageYearSix" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_MeasurementInputExpectedForfeitureRateMember" abstract="true" name="MeasurementInputExpectedForfeitureRateMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleAntiDilutionThresholdConsecutiveTradingDays" abstract="false" name="DebtInstrumentConvertibleAntiDilutionThresholdConsecutiveTradingDays" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiabilityToBePaidYearTwo" abstract="false" name="TaxReceivableAgreementLiabilityToBePaidYearTwo" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_StockConvertedReverseRecapitalization" abstract="false" name="StockConvertedReverseRecapitalization" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleFundamentalChangeRepurchasePricePercentage" abstract="false" name="DebtInstrumentConvertibleFundamentalChangeRepurchasePricePercentage" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationExpirationPeriodInitialPhase" abstract="false" name="DerivativeInstrumentContingentConsiderationExpirationPeriodInitialPhase" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_SomersetNewJerseyWarehouseMember" abstract="true" name="SomersetNewJerseyWarehouseMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiabilityToBePaidYearFour" abstract="false" name="TaxReceivableAgreementLiabilityToBePaidYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementPercentageRetained" abstract="false" name="TaxReceivableAgreementPercentageRetained" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="cmpo_OfficeBuildingAndManufacturingFacilityLocation2Member" abstract="true" name="OfficeBuildingAndManufacturingFacilityLocation2Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_AmendedCreditFacility2024Member" abstract="true" name="AmendedCreditFacility2024Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="cmpo_TopTwoCustomersMember" abstract="true" name="TopTwoCustomersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="cmpo_RelatedPartyPotentialCommissionsDueMember" abstract="true" name="RelatedPartyPotentialCommissionsDueMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPercentageYearSeven" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPercentageYearSeven" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationExpirationPeriodSecondPhase" abstract="false" name="DerivativeInstrumentContingentConsiderationExpirationPeriodSecondPhase" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_RomanDBDRMember" abstract="true" name="RomanDBDRMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementPolicyPolicyTextBlock" abstract="false" name="TaxReceivableAgreementPolicyPolicyTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementPercentage" abstract="false" name="TaxReceivableAgreementPercentage" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardAdditionalSharesAuthorizedPercentage" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardAdditionalSharesAuthorizedPercentage" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsProfitsInterestHurdle" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsProfitsInterestHurdle" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_A2021CreditFacilityMember" abstract="true" name="A2021CreditFacilityMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_LesseeOperatingLeaseBaseRent" abstract="false" name="LesseeOperatingLeaseBaseRent" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ReverseRecapitalizationTable" abstract="true" name="ReverseRecapitalizationTable" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_ClassOfWarrantOrRightCommencementPeriodFromBusinessCombination" abstract="false" name="ClassOfWarrantOrRightCommencementPeriodFromBusinessCombination" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleEventOfDefaultThresholdPercentageOfNoteHoldersMayDeclareNotesPayableImmediately" abstract="false" name="DebtInstrumentConvertibleEventOfDefaultThresholdPercentageOfNoteHoldersMayDeclareNotesPayableImmediately" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_AdjustmentsToPaidInCapitalTaxReceivableAgreementLiability" abstract="false" name="AdjustmentsToPaidInCapitalTaxReceivableAgreementLiability" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ExchangeableNotesMember" abstract="true" name="ExchangeableNotesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationLiabilityTableTextBlock" abstract="false" name="DerivativeInstrumentContingentConsiderationLiabilityTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiabilityCurrent" abstract="false" name="TaxReceivableAgreementLiabilityCurrent" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_RomanDBDRFoundersMember" abstract="true" name="RomanDBDRFoundersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationLiabilityShares" abstract="false" name="DerivativeInstrumentContingentConsiderationLiabilityShares" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="cmpo_OfficeBuildingAndManufacturingFacilityLocation3Member" abstract="true" name="OfficeBuildingAndManufacturingFacilityLocation3Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_TwoCustomersMember" abstract="true" name="TwoCustomersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_LineOfCreditAndTermLoanMember" abstract="true" name="LineOfCreditAndTermLoanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_EffectiveIncomeTaxRateReconciliationOtherComprehensiveIncomeAdjustmentPercent" abstract="false" name="EffectiveIncomeTaxRateReconciliationOtherComprehensiveIncomeAdjustmentPercent" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_SalariesAndCommissions" abstract="false" name="SalariesAndCommissions" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_CommonShareholdersMember" abstract="true" name="CommonShareholdersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DefinedContributionPlanRequisiteServicePeriod" abstract="false" name="DefinedContributionPlanRequisiteServicePeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_OperatingLeaseNonCashActivityAbstract" abstract="true" name="OperatingLeaseNonCashActivityAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_LesseeOperatingLeaseLeaseEscalationFactor" abstract="false" name="LesseeOperatingLeaseLeaseEscalationFactor" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPeriod" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_StockIssuanceCostsIncurredButNotYetPaid" abstract="false" name="StockIssuanceCostsIncurredButNotYetPaid" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_OfficeBuildingAndManufacturingFacilityLocation1Member" abstract="true" name="OfficeBuildingAndManufacturingFacilityLocation1Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_PaymentsOfReverseRecapitalizationTransactionCosts" abstract="false" name="PaymentsOfReverseRecapitalizationTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_NoncashChangeInDerivativeAsset" abstract="false" name="NoncashChangeInDerivativeAsset" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ReverseRecapitalizationLineItems" abstract="true" name="ReverseRecapitalizationLineItems" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_PublicWarrantsMember" abstract="true" name="PublicWarrantsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_RecapitalizationExchangeRatio" abstract="false" name="RecapitalizationExchangeRatio" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="cmpo_RevenuePerformanceObligationPaymentDue" abstract="false" name="RevenuePerformanceObligationPaymentDue" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPercentageYearThree" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPercentageYearThree" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationIntrinsicValue" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationIntrinsicValue" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiability" abstract="false" name="TaxReceivableAgreementLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_DepositsAndOtherAssetsNoncurrent" abstract="false" name="DepositsAndOtherAssetsNoncurrent" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_DefinedContributionPlanMatchingScenarioTwoMember" abstract="true" name="DefinedContributionPlanMatchingScenarioTwoMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_OperatingLeasesCashFlowInformationAbstract" abstract="true" name="OperatingLeasesCashFlowInformationAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_ShippingAndHandlingCosts" abstract="false" name="ShippingAndHandlingCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleRegistrationDefaultInterestRateAfterFirst90Days" abstract="false" name="DebtInstrumentConvertibleRegistrationDefaultInterestRateAfterFirst90Days" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleEventOfDefaultPercentageOfNotesPayableImmediately" abstract="false" name="DebtInstrumentConvertibleEventOfDefaultPercentageOfNotesPayableImmediately" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DebtInstrumentRedemptionRedemptionNoticePeriod" abstract="false" name="DebtInstrumentRedemptionRedemptionNoticePeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_LesseeOperatingLeaseNumberOfRenewalOptions" abstract="false" name="LesseeOperatingLeaseNumberOfRenewalOptions" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="cmpo_DebtInstrumentRedemptionSharePricePercentageThreshold" abstract="false" name="DebtInstrumentRedemptionSharePricePercentageThreshold" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DebtInstrumentRedemptionPeriodFromClosingDate" abstract="false" name="DebtInstrumentRedemptionPeriodFromClosingDate" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_CommonStockVotingRightsNumberOfVotes" abstract="false" name="CommonStockVotingRightsNumberOfVotes" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="cmpo_TwoSuppliersMember" abstract="true" name="TwoSuppliersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPercentageYearFive" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPercentageYearFive" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_ProceedsFromReverseRecapitalizationTransaction" abstract="false" name="ProceedsFromReverseRecapitalizationTransaction" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ClassOfWarrantOrRightRollForward" abstract="true" name="ClassOfWarrantOrRightRollForward" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_CashAcquiredThroughReverseRecapitalization" abstract="false" name="CashAcquiredThroughReverseRecapitalization" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_EarnoutConsiderationMember" abstract="true" name="EarnoutConsiderationMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_ReverseRecapitalizationContingentConsiderationMeasurementInput" abstract="false" name="ReverseRecapitalizationContingentConsiderationMeasurementInput" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:decimalItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationSharesPerPhase" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationSharesPerPhase" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualPercentOfEBITDAContributed" abstract="false" name="DeferredCompensationArrangementWithIndividualPercentOfEBITDAContributed" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiabilityToBePaidYearThree" abstract="false" name="TaxReceivableAgreementLiabilityToBePaidYearThree" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_SecuredOvernightFinancingRateSOFRMember" abstract="true" name="SecuredOvernightFinancingRateSOFRMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationLiabilityRollForward" abstract="true" name="DerivativeInstrumentContingentConsiderationLiabilityRollForward" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleRegistrationDefaultInterestRateForFirst90Days" abstract="false" name="DebtInstrumentConvertibleRegistrationDefaultInterestRateForFirst90Days" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_IncreaseDecreaseInDepositAndOtherAssets" abstract="false" name="IncreaseDecreaseInDepositAndOtherAssets" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ReverseRecapitalizationDisclosureTextBlock" abstract="false" name="ReverseRecapitalizationDisclosureTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <xs:element id="cmpo_TaxReceivableAgreementLiabilityToBePaidYearFive" abstract="false" name="TaxReceivableAgreementLiabilityToBePaidYearFive" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_PaymentOnTaxReceivableAgreementLiability" abstract="false" name="PaymentOnTaxReceivableAgreementLiability" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationShares" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardsContingentConsiderationShares" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="cmpo_DeferredCompensationArrangementWithIndividualVestingPercentageYearTwo" abstract="false" name="DeferredCompensationArrangementWithIndividualVestingPercentageYearTwo" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_CommissionPayableCurrent" abstract="false" name="CommissionPayableCurrent" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_SomersetNewJerseyOfficeMember" abstract="true" name="SomersetNewJerseyOfficeMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="cmpo_PaymentOfDistributionsToNoncontrollingInterests" abstract="false" name="PaymentOfDistributionsToNoncontrollingInterests" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_RevenuePerformanceObligationPaymentTermsMaximum" abstract="false" name="RevenuePerformanceObligationPaymentTermsMaximum" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_DerivativeInstrumentContingentConsiderationLiability" abstract="false" name="DerivativeInstrumentContingentConsiderationLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleEventOfDefaultInterestRateForDays91To180" abstract="false" name="DebtInstrumentConvertibleEventOfDefaultInterestRateForDays91To180" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:percentItemType"/>
  <xs:element id="cmpo_DebtInstrumentRedemptionThresholdConsecutiveTradingDays" abstract="false" name="DebtInstrumentRedemptionThresholdConsecutiveTradingDays" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="cmpo_DebtInstrumentConvertibleAntiDilutionPeriodAfterCommonStockIssuance" abstract="false" name="DebtInstrumentConvertibleAntiDilutionPeriodAfterCommonStockIssuance" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
</xs:schema>
