<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2023 Workiva-->
<!--r:5e4ad7f0-68f7-40b7-85ad-1331e8fbc30a,g:93e88c99-29cf-4b98-8b9e-c183d656e29a-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://composecure.com/role/ConsolidatedBalanceSheets" xlink:type="simple" xlink:href="cmpo-20221231.xsd#ConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://composecure.com/role/ConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_add85294-5f1b-4cec-978a-55127d468fe7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_ffc92290-b921-4f95-86bc-a9abb160f194" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_add85294-5f1b-4cec-978a-55127d468fe7" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_ffc92290-b921-4f95-86bc-a9abb160f194" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_4b4b0eb3-2540-47a8-81c3-e59c1acabf30" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_add85294-5f1b-4cec-978a-55127d468fe7" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_4b4b0eb3-2540-47a8-81c3-e59c1acabf30" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_11a6de8e-6213-453c-b248-92dcf93911e6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_add85294-5f1b-4cec-978a-55127d468fe7" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_11a6de8e-6213-453c-b248-92dcf93911e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_fcf281d7-bf71-48e0-9c20-ed453f9b8675" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_add85294-5f1b-4cec-978a-55127d468fe7" xlink:to="loc_us-gaap_InventoryNet_fcf281d7-bf71-48e0-9c20-ed453f9b8675" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_d849a5d4-411a-452d-a352-2eca8c0bb999" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_c304760b-7fa2-4c32-86ed-ea00d3f5a09a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d849a5d4-411a-452d-a352-2eca8c0bb999" xlink:to="loc_us-gaap_Liabilities_c304760b-7fa2-4c32-86ed-ea00d3f5a09a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_666f5a82-19fa-48ec-bb8f-2e2aa8ff0d34" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d849a5d4-411a-452d-a352-2eca8c0bb999" xlink:to="loc_us-gaap_StockholdersEquity_666f5a82-19fa-48ec-bb8f-2e2aa8ff0d34" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_8806b769-a38a-4297-9935-8440fac35a26" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_TemporaryEquityCarryingAmountAttributableToParent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d849a5d4-411a-452d-a352-2eca8c0bb999" xlink:to="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_8806b769-a38a-4297-9935-8440fac35a26" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsNoncurrent_e6fca950-5ad5-4e4b-ae67-35f3f707e4a6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssetsNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_us-gaap_DerivativeAssetsNoncurrent_e6fca950-5ad5-4e4b-ae67-35f3f707e4a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_1b19ab0d-f50e-4dfc-a6d4-44720409fe08" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_1b19ab0d-f50e-4dfc-a6d4-44720409fe08" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_0f64cc3a-e9fc-46d9-93af-af73669d8e77" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_us-gaap_AssetsCurrent_0f64cc3a-e9fc-46d9-93af-af73669d8e77" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet_6fc54e43-bffb-4d73-bbcc-0b8a61e8a17d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_us-gaap_DeferredIncomeTaxAssetsNet_6fc54e43-bffb-4d73-bbcc-0b8a61e8a17d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_e964cbca-2276-4285-b711-5e0ec8f5356a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_e964cbca-2276-4285-b711-5e0ec8f5356a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_DepositsAndOtherAssetsNoncurrent_6046a06b-7c89-4e05-822b-657953a7502c" xlink:href="cmpo-20221231.xsd#cmpo_DepositsAndOtherAssetsNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_42e5d82d-51f1-4adb-b899-74cbd609796e" xlink:to="loc_cmpo_DepositsAndOtherAssetsNoncurrent_6046a06b-7c89-4e05-822b-657953a7502c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermLineOfCredit_381dfa44-53d7-4245-b34f-784860e4f100" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermLineOfCredit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_LongTermLineOfCredit_381dfa44-53d7-4245-b34f-784860e4f100" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_c140c770-7560-47eb-85cd-bdcb99fddbcc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLiabilitiesNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_DerivativeLiabilitiesNoncurrent_c140c770-7560-47eb-85cd-bdcb99fddbcc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_a333c4cd-e666-4b84-aec2-f6243094c13a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_LiabilitiesCurrent_a333c4cd-e666-4b84-aec2-f6243094c13a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLongTermDebtNoncurrent_5c2e81db-0a8e-4129-a53b-457803481d36" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherLongTermDebtNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_OtherLongTermDebtNoncurrent_5c2e81db-0a8e-4129-a53b-457803481d36" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiability_3adfb6f3-9785-446b-a7b6-61b95b5fd421" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiability"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_cmpo_TaxReceivableAgreementLiability_3adfb6f3-9785-446b-a7b6-61b95b5fd421" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WarrantsAndRightsOutstanding_06ef44ce-2965-4a4f-99bd-c54bdd52db8d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WarrantsAndRightsOutstanding"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_WarrantsAndRightsOutstanding_06ef44ce-2965-4a4f-99bd-c54bdd52db8d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_DerivativeInstrumentContingentConsiderationLiability_1e366219-8354-4d31-88e0-665967029a98" xlink:href="cmpo-20221231.xsd#cmpo_DerivativeInstrumentContingentConsiderationLiability"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_cmpo_DerivativeInstrumentContingentConsiderationLiability_1e366219-8354-4d31-88e0-665967029a98" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConvertibleLongTermNotesPayable_f405a1e5-3860-4790-8f77-56948b3e221e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConvertibleLongTermNotesPayable"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_ConvertibleLongTermNotesPayable_f405a1e5-3860-4790-8f77-56948b3e221e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_89247dfd-99af-4ffa-bd41-cc69b19eb3b6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_b26f4df7-a1bc-4b48-935f-984cbbb54385" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_89247dfd-99af-4ffa-bd41-cc69b19eb3b6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_12d6837e-57a4-4655-ac99-4d44100007cb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_12d6837e-57a4-4655-ac99-4d44100007cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_1dbba94e-8028-493b-8379-aa0a6ede41b8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:to="loc_us-gaap_PreferredStockValue_1dbba94e-8028-493b-8379-aa0a6ede41b8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_6357d163-6714-46b1-a149-cb755ff1b7ed" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:to="loc_us-gaap_CommonStockValue_6357d163-6714-46b1-a149-cb755ff1b7ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_4cb23762-a589-4843-9963-a3d40caccdb8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:to="loc_us-gaap_AdditionalPaidInCapital_4cb23762-a589-4843-9963-a3d40caccdb8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_870b3b52-9543-4b11-9687-56f504f22dbc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_34558716-ec98-4c8c-a9bb-d0f3f15b87a7" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_870b3b52-9543-4b11-9687-56f504f22dbc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedBonusesCurrent_91e60ac4-6c43-46b2-96a7-9ed3fa3f0cb6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccruedBonusesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_us-gaap_AccruedBonusesCurrent_91e60ac4-6c43-46b2-96a7-9ed3fa3f0cb6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_CommissionPayableCurrent_a56687db-f1ab-4cbe-9fc6-0c3aad964e53" xlink:href="cmpo-20221231.xsd#cmpo_CommissionPayableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_cmpo_CommissionPayableCurrent_a56687db-f1ab-4cbe-9fc6-0c3aad964e53" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_15a408bc-7ebb-4390-9b94-ca7c1075724d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_us-gaap_LongTermDebtCurrent_15a408bc-7ebb-4390-9b94-ca7c1075724d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_8f115932-bab7-4b23-901e-5e7b82f73950" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_8f115932-bab7-4b23-901e-5e7b82f73950" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_794395bb-d601-4094-abed-d29131a96937" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_us-gaap_AccountsPayableCurrent_794395bb-d601-4094-abed-d29131a96937" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_DeferredIssuanceCostsCurrent_c2fab52d-88d4-4db4-b9a3-1d2a62114882" xlink:href="cmpo-20221231.xsd#cmpo_DeferredIssuanceCostsCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_cmpo_DeferredIssuanceCostsCurrent_c2fab52d-88d4-4db4-b9a3-1d2a62114882" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_cc0aee1a-d732-405f-851b-04ec61bda93b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_63c0046b-d0ae-405f-8b25-cf6d2d37fef3" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_cc0aee1a-d732-405f-851b-04ec61bda93b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/ConsolidatedStatementsofOperations" xlink:type="simple" xlink:href="cmpo-20221231.xsd#ConsolidatedStatementsofOperations"/>
  <link:calculationLink xlink:role="http://composecure.com/role/ConsolidatedStatementsofOperations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_aa39fe53-dd1e-4abe-93a9-adc457703eb4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GrossProfit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_5566c955-8ae4-4372-a321-a745013b1ce6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_aa39fe53-dd1e-4abe-93a9-adc457703eb4" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_5566c955-8ae4-4372-a321-a745013b1ce6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_c62fc8b6-ca87-45d8-9443-e9359c89a350" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_aa39fe53-dd1e-4abe-93a9-adc457703eb4" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_c62fc8b6-ca87-45d8-9443-e9359c89a350" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_4e49556e-d28e-4a59-acb8-d15010f78cbb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProfitLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_497b0c32-e62a-460c-ab62-6ac8c32c863e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_4e49556e-d28e-4a59-acb8-d15010f78cbb" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_497b0c32-e62a-460c-ab62-6ac8c32c863e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ef6f9408-2bb3-4d05-89a1-9a8d5ed549e8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_4e49556e-d28e-4a59-acb8-d15010f78cbb" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ef6f9408-2bb3-4d05-89a1-9a8d5ed549e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_f15a6cce-2056-4ca1-a04f-8441ab65ac58" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_3744c8da-64d4-4e53-b4ca-4229f780658b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_f15a6cce-2056-4ca1-a04f-8441ab65ac58" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_3744c8da-64d4-4e53-b4ca-4229f780658b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_ffe90834-dea8-47a9-8a37-a0982ff9e6cb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GrossProfit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_f15a6cce-2056-4ca1-a04f-8441ab65ac58" xlink:to="loc_us-gaap_GrossProfit_ffe90834-dea8-47a9-8a37-a0982ff9e6cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_d94b63f9-6960-471d-95d8-fd99e335f27c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_8cad5e2d-963c-4745-9a64-7ea10837a9a8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_d94b63f9-6960-471d-95d8-fd99e335f27c" xlink:to="loc_us-gaap_ProfitLoss_8cad5e2d-963c-4745-9a64-7ea10837a9a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest_00f0e36c-1ab1-4318-ac1e-b99e5c815263" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_d94b63f9-6960-471d-95d8-fd99e335f27c" xlink:to="loc_us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest_00f0e36c-1ab1-4318-ac1e-b99e5c815263" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_18491f82-8e78-4366-9ac4-580c56c5cd4d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_a1e4ab61-791b-4736-bd1c-696883cdca71" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_18491f82-8e78-4366-9ac4-580c56c5cd4d" xlink:to="loc_us-gaap_OperatingIncomeLoss_a1e4ab61-791b-4736-bd1c-696883cdca71" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_55c02b59-46c2-48bb-8bb7-05f0239e15ed" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_18491f82-8e78-4366-9ac4-580c56c5cd4d" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_55c02b59-46c2-48bb-8bb7-05f0239e15ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_1e12cda3-2199-43e7-b5fa-a8c05aed775b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InterestIncomeExpenseNonoperatingNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_1e12cda3-2199-43e7-b5fa-a8c05aed775b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAdjustmentOfWarrants_d6772561-a53e-4fde-86a1-d5e22cac554a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_us-gaap_FairValueAdjustmentOfWarrants_d6772561-a53e-4fde-86a1-d5e22cac554a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_3a9a5e05-1ebe-44b7-8646-0884ea358cb6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_3a9a5e05-1ebe-44b7-8646-0884ea358cb6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_AmortizationOfDebtIssuanceCostsAndOtherFees_fe2aec33-5e64-4652-bbdd-f1a1a0341854" xlink:href="cmpo-20221231.xsd#cmpo_AmortizationOfDebtIssuanceCostsAndOtherFees"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_cmpo_AmortizationOfDebtIssuanceCostsAndOtherFees_fe2aec33-5e64-4652-bbdd-f1a1a0341854" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet_b85afd9d-d3a9-406b-8a7b-98c3afe279f8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet_b85afd9d-d3a9-406b-8a7b-98c3afe279f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability_a9a79518-427e-4dc6-8c89-7ed9aa6bd96d" xlink:href="cmpo-20221231.xsd#cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_0cc1a311-2d0c-4372-8868-06488d351887" xlink:to="loc_cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability_a9a79518-427e-4dc6-8c89-7ed9aa6bd96d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/ConsolidatedStatementsofComprehensiveIncome" xlink:type="simple" xlink:href="cmpo-20221231.xsd#ConsolidatedStatementsofComprehensiveIncome"/>
  <link:calculationLink xlink:role="http://composecure.com/role/ConsolidatedStatementsofComprehensiveIncome" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_10fdbcf6-ace2-4275-bf27-83a35f7057bd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax_733eb167-a27c-4a7f-957a-1fd1ddecc13d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_10fdbcf6-ace2-4275-bf27-83a35f7057bd" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax_733eb167-a27c-4a7f-957a-1fd1ddecc13d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_94e8a80c-5517-40e7-b5b7-54e10713409e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_aef4793e-9040-4469-92b7-43abed80f251" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_94e8a80c-5517-40e7-b5b7-54e10713409e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_aef4793e-9040-4469-92b7-43abed80f251" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_565a7c2c-1ebd-4387-9ae2-c398b20ab8d1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_94e8a80c-5517-40e7-b5b7-54e10713409e" xlink:to="loc_us-gaap_ProfitLoss_565a7c2c-1ebd-4387-9ae2-c398b20ab8d1" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/ConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="cmpo-20221231.xsd#ConsolidatedStatementsofCashFlows"/>
  <link:calculationLink xlink:role="http://composecure.com/role/ConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_724ce596-2187-433c-b63f-2ad7ca1cee3b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_ef7f04ee-2668-4998-b5f0-f3306699068d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_724ce596-2187-433c-b63f-2ad7ca1cee3b" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_ef7f04ee-2668-4998-b5f0-f3306699068d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_8f99ab8c-a39b-4ea2-b1ad-f2816979b7a1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_980adc96-1293-4daf-beec-5faddcbfc01a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_8f99ab8c-a39b-4ea2-b1ad-f2816979b7a1" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_980adc96-1293-4daf-beec-5faddcbfc01a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_512d078a-e5bc-43ff-8efd-83f6086d2126" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_8f99ab8c-a39b-4ea2-b1ad-f2816979b7a1" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_512d078a-e5bc-43ff-8efd-83f6086d2126" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_72d3ed52-4dc2-41c5-987a-64fd87537fc7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_8f99ab8c-a39b-4ea2-b1ad-f2816979b7a1" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_72d3ed52-4dc2-41c5-987a-64fd87537fc7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_f6beccc6-7570-4b0c-ad76-6e2b3aabecfe" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_ShareBasedCompensation_f6beccc6-7570-4b0c-ad76-6e2b3aabecfe" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_6e525d23-3cfb-4a0c-b628-aaf9104b08c5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_6e525d23-3cfb-4a0c-b628-aaf9104b08c5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_9f964cc2-75c3-4482-94a1-78fe02e0a64f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_9f964cc2-75c3-4482-94a1-78fe02e0a64f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayable_6db2bcd8-b076-4330-847d-5abe6252fd4e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayable_6db2bcd8-b076-4330-847d-5abe6252fd4e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability_24a2f5d3-9fc0-41c0-a4e5-f6990505894d" xlink:href="cmpo-20221231.xsd#cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_cmpo_DerivativeInstrumentChangeInAmountOfContingentConsiderationLiability_24a2f5d3-9fc0-41c0-a4e5-f6990505894d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_7cb493c4-71f5-4fe6-a36b-679f1d3e4fe7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_7cb493c4-71f5-4fe6-a36b-679f1d3e4fe7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_75d37527-440c-4f0c-af0c-fcdf4b8bacb6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_75d37527-440c-4f0c-af0c-fcdf4b8bacb6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_IncreaseDecreaseInDepositAndOtherAssets_833c2e8b-5e6c-4328-a0ae-3e356c42a32f" xlink:href="cmpo-20221231.xsd#cmpo_IncreaseDecreaseInDepositAndOtherAssets"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_cmpo_IncreaseDecreaseInDepositAndOtherAssets_833c2e8b-5e6c-4328-a0ae-3e356c42a32f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet_7d73d8d3-212f-41c5-bcd8-27cb413d4909" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet_7d73d8d3-212f-41c5-bcd8-27cb413d4909" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_e2946c8f-faf3-43f0-bd2e-5f1ff593899f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_e2946c8f-faf3-43f0-bd2e-5f1ff593899f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilities_111d5229-d6d1-44ed-b7b1-e45a84456ee3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilities"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilities_111d5229-d6d1-44ed-b7b1-e45a84456ee3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_f5eacbd9-ffc0-4b5b-8744-28f652d702ee" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_ProfitLoss_f5eacbd9-ffc0-4b5b-8744-28f652d702ee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWriteDown_2dcf102d-b2cb-499a-ac33-8410ec3c4506" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryWriteDown"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_InventoryWriteDown_2dcf102d-b2cb-499a-ac33-8410ec3c4506" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAdjustmentOfWarrants_9cd266a7-5cd6-4c6c-9b04-3faf96d35010" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_FairValueAdjustmentOfWarrants_9cd266a7-5cd6-4c6c-9b04-3faf96d35010" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_3f3f8ab4-28ff-4a45-afd6-a0a1cd9dd157" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_3f3f8ab4-28ff-4a45-afd6-a0a1cd9dd157" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation_b3e5e2c1-5e7c-4de7-8c71-313280357405" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Depreciation"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_3c64ffe7-44fa-45f2-ad19-bdc9cee462d0" xlink:to="loc_us-gaap_Depreciation_b3e5e2c1-5e7c-4de7-8c71-313280357405" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfSecuredDebt_a4b4d9ed-efeb-4b3c-8392-e92121b65641" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RepaymentsOfSecuredDebt"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_RepaymentsOfSecuredDebt_a4b4d9ed-efeb-4b3c-8392-e92121b65641" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions_5095a4a7-7b13-481b-a8ae-e0dba3132589" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions_5095a4a7-7b13-481b-a8ae-e0dba3132589" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_PaymentOfDistributionsToMembers_551b9eb2-1f90-46be-b245-2e95c6a6c834" xlink:href="cmpo-20221231.xsd#cmpo_PaymentOfDistributionsToMembers"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_cmpo_PaymentOfDistributionsToMembers_551b9eb2-1f90-46be-b245-2e95c6a6c834" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromConvertibleDebt_2d9deb75-46dd-45f6-b5e8-60e278f6690d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromConvertibleDebt"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_ProceedsFromConvertibleDebt_2d9deb75-46dd-45f6-b5e8-60e278f6690d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_PaymentOfTaxReceivableAgreementLiability_df2add34-d838-44a5-accb-975b22aecfd1" xlink:href="cmpo-20221231.xsd#cmpo_PaymentOfTaxReceivableAgreementLiability"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_cmpo_PaymentOfTaxReceivableAgreementLiability_df2add34-d838-44a5-accb-975b22aecfd1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_PaymentOfIssuanceCostsRecapitalization_a34cab92-1837-472e-8c2a-1298f4bb9c75" xlink:href="cmpo-20221231.xsd#cmpo_PaymentOfIssuanceCostsRecapitalization"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_cmpo_PaymentOfIssuanceCostsRecapitalization_a34cab92-1837-472e-8c2a-1298f4bb9c75" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLinesOfCredit_da2a098d-26c1-4063-a043-4a0977dacee8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromLinesOfCredit"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_ProceedsFromLinesOfCredit_da2a098d-26c1-4063-a043-4a0977dacee8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt_ec91d026-4965-4139-b7fc-3ec59f08f363" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfSecuredDebt"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt_ec91d026-4965-4139-b7fc-3ec59f08f363" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts_2e006140-18c3-4b58-869c-589af5d9d799" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_PaymentsOfDebtIssuanceCosts_2e006140-18c3-4b58-869c-589af5d9d799" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLinesOfCredit_e5746e47-29d9-4f22-a0f7-158290f8dfa8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RepaymentsOfLinesOfCredit"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_RepaymentsOfLinesOfCredit_e5746e47-29d9-4f22-a0f7-158290f8dfa8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfPrivatePlacement_44dcfd60-9f2c-41da-ac66-b3cf2a561775" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfPrivatePlacement"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfPrivatePlacement_44dcfd60-9f2c-41da-ac66-b3cf2a561775" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_PaymentOfDistributionsRecapitalization_84016718-9bc7-4c8c-9b8a-aeb72abceebc" xlink:href="cmpo-20221231.xsd#cmpo_PaymentOfDistributionsRecapitalization"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5d8d1be3-4294-42cf-b9fb-55c2e6b1e552" xlink:to="loc_cmpo_PaymentOfDistributionsRecapitalization_84016718-9bc7-4c8c-9b8a-aeb72abceebc" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/BUSINESSCOMBINATIONRecapitalizationDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#BUSINESSCOMBINATIONRecapitalizationDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/BUSINESSCOMBINATIONRecapitalizationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_ProceedsFromReverseRecapitalizationTransaction_4d29e889-d19f-41bb-9ffa-517677d636e5" xlink:href="cmpo-20221231.xsd#cmpo_ProceedsFromReverseRecapitalizationTransaction"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_PaymentsOfReverseRecapitalizationTransactionCosts_f6b61544-30b2-4ae9-a2e3-1376ccb33f4f" xlink:href="cmpo-20221231.xsd#cmpo_PaymentsOfReverseRecapitalizationTransactionCosts"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_ProceedsFromReverseRecapitalizationTransaction_4d29e889-d19f-41bb-9ffa-517677d636e5" xlink:to="loc_cmpo_PaymentsOfReverseRecapitalizationTransactionCosts_f6b61544-30b2-4ae9-a2e3-1376ccb33f4f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfPrivatePlacement_d74304e2-ad83-4b94-a51d-a33c8b2632ef" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfPrivatePlacement"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_ProceedsFromReverseRecapitalizationTransaction_4d29e889-d19f-41bb-9ffa-517677d636e5" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfPrivatePlacement_d74304e2-ad83-4b94-a51d-a33c8b2632ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_CashAcquiredThroughReverseRecapitalization_c51033f0-ef3f-445a-b2ba-5266fc56d319" xlink:href="cmpo-20221231.xsd#cmpo_CashAcquiredThroughReverseRecapitalization"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_ProceedsFromReverseRecapitalizationTransaction_4d29e889-d19f-41bb-9ffa-517677d636e5" xlink:to="loc_cmpo_CashAcquiredThroughReverseRecapitalization_c51033f0-ef3f-445a-b2ba-5266fc56d319" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/INVENTORIESDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#INVENTORIESDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/INVENTORIESDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_db3d8c23-6ce5-4cc8-b49a-8ac536307d36" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterials_9c13c50f-e5ab-4ee4-91d6-2d4d4f5eff6b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryRawMaterials"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_db3d8c23-6ce5-4cc8-b49a-8ac536307d36" xlink:to="loc_us-gaap_InventoryRawMaterials_9c13c50f-e5ab-4ee4-91d6-2d4d4f5eff6b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryValuationReserves_d973f6a5-29ba-4861-b0d1-ed22699e9f96" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryValuationReserves"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_db3d8c23-6ce5-4cc8-b49a-8ac536307d36" xlink:to="loc_us-gaap_InventoryValuationReserves_d973f6a5-29ba-4861-b0d1-ed22699e9f96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWorkInProcess_0d21c7e7-2cd9-4735-8914-c39c5a47c153" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryWorkInProcess"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_db3d8c23-6ce5-4cc8-b49a-8ac536307d36" xlink:to="loc_us-gaap_InventoryWorkInProcess_0d21c7e7-2cd9-4735-8914-c39c5a47c153" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryFinishedGoods_bbccad7c-8e62-470d-b425-2c5cdd9a3879" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryFinishedGoods"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_db3d8c23-6ce5-4cc8-b49a-8ac536307d36" xlink:to="loc_us-gaap_InventoryFinishedGoods_bbccad7c-8e62-470d-b425-2c5cdd9a3879" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/PROPERTYANDEQUIPMENTDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#PROPERTYANDEQUIPMENTDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/PROPERTYANDEQUIPMENTDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_c267119f-4413-4291-ac63-d3f5d5a9c223" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_bf34b5d6-fc2c-4bc2-b389-8a6b008f3adf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_c267119f-4413-4291-ac63-d3f5d5a9c223" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_bf34b5d6-fc2c-4bc2-b389-8a6b008f3adf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_38e0671d-5c28-462c-acf5-097f8fb35926" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_c267119f-4413-4291-ac63-d3f5d5a9c223" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_38e0671d-5c28-462c-acf5-097f8fb35926" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/DEBTMaturityDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#DEBTMaturityDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/DEBTMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_0726138e-6f0d-4296-b848-6ca8774d699d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_76f5036d-998e-4f92-9813-ec7d40b177fd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount_0726138e-6f0d-4296-b848-6ca8774d699d" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_76f5036d-998e-4f92-9813-ec7d40b177fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_d7e77dd3-1464-44ff-bdfc-b87fb78e9181" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount_0726138e-6f0d-4296-b848-6ca8774d699d" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_d7e77dd3-1464-44ff-bdfc-b87fb78e9181" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_3b02cd51-61bf-4c4e-a3e9-608c2c96fc5a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount_0726138e-6f0d-4296-b848-6ca8774d699d" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_3b02cd51-61bf-4c4e-a3e9-608c2c96fc5a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_c470af50-3634-4403-9ffa-10b998a50e48" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount_0726138e-6f0d-4296-b848-6ca8774d699d" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_c470af50-3634-4403-9ffa-10b998a50e48" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/LEASESComponentsofLeaseCostDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#LEASESComponentsofLeaseCostDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/LEASESComponentsofLeaseCostDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCost_2937d0e3-bb3a-4629-976e-b31d56eb1673" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableLeaseCost_ada43c8c-a6ae-44ab-ae60-9f7af1da7681" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_VariableLeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_2937d0e3-bb3a-4629-976e-b31d56eb1673" xlink:to="loc_us-gaap_VariableLeaseCost_ada43c8c-a6ae-44ab-ae60-9f7af1da7681" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_5b22ce63-7216-4310-95f9-1aa0bf56221f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_2937d0e3-bb3a-4629-976e-b31d56eb1673" xlink:to="loc_us-gaap_OperatingLeaseCost_5b22ce63-7216-4310-95f9-1aa0bf56221f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/LEASESFutureMinimumCommitmentsDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#LEASESFutureMinimumCommitmentsDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/LEASESFutureMinimumCommitmentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0bb65fc6-8365-4c65-855b-a576adb2adf5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_c3aea785-4c82-4fec-9bcd-ab72baf84d96" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0bb65fc6-8365-4c65-855b-a576adb2adf5" xlink:to="loc_us-gaap_OperatingLeaseLiability_c3aea785-4c82-4fec-9bcd-ab72baf84d96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_35a1e8fb-5fb3-4b32-8fd5-34432d01a51b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0bb65fc6-8365-4c65-855b-a576adb2adf5" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_35a1e8fb-5fb3-4b32-8fd5-34432d01a51b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/LEASESFutureMinimumCommitmentsDetails_1" xlink:type="simple" xlink:href="cmpo-20221231.xsd#LEASESFutureMinimumCommitmentsDetails_1"/>
  <link:calculationLink xlink:role="http://composecure.com/role/LEASESFutureMinimumCommitmentsDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_55739010-2217-4c27-bea0-d11ed2b1917a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_55739010-2217-4c27-bea0-d11ed2b1917a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_12d0237d-b956-4048-8ad7-3893cf7a1aaa" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_12d0237d-b956-4048-8ad7-3893cf7a1aaa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_24280787-a0be-499a-9366-2cbee83cd616" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_24280787-a0be-499a-9366-2cbee83cd616" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_e26f2997-ae45-40ee-837a-9f62d2952cc3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_e26f2997-ae45-40ee-837a-9f62d2952cc3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_b1dc8f3d-20c4-444c-906c-a9363deeee09" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_b1dc8f3d-20c4-444c-906c-a9363deeee09" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_6afe77f3-2f7f-49e6-97cf-581cc7ae1445" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5f60bfe-2a8d-4371-8272-2326cb86214c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_6afe77f3-2f7f-49e6-97cf-581cc7ae1445" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/INCOMETAXESComponentsofBenefitforIncomeTaxesDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#INCOMETAXESComponentsofBenefitforIncomeTaxesDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/INCOMETAXESComponentsofBenefitforIncomeTaxesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_f7f49b0d-2ac7-4f4a-b8d4-763380bf306a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_f66d3395-b0a6-46c2-a239-f3e10fc403e8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_f7f49b0d-2ac7-4f4a-b8d4-763380bf306a" xlink:to="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_f66d3395-b0a6-46c2-a239-f3e10fc403e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentFederalTaxExpenseBenefit_a104636a-4fbe-4022-94a7-9b3fbd6261e6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CurrentFederalTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_f7f49b0d-2ac7-4f4a-b8d4-763380bf306a" xlink:to="loc_us-gaap_CurrentFederalTaxExpenseBenefit_a104636a-4fbe-4022-94a7-9b3fbd6261e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_13472dd1-a62d-4f7d-aaef-d04243655d34" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_30690460-00cd-4f21-931f-f71d35eb4d39" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_13472dd1-a62d-4f7d-aaef-d04243655d34" xlink:to="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_30690460-00cd-4f21-931f-f71d35eb4d39" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_ebd877b1-be3b-421d-b1b8-47bf08b3d213" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_13472dd1-a62d-4f7d-aaef-d04243655d34" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_ebd877b1-be3b-421d-b1b8-47bf08b3d213" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_163d71c7-2da1-4c5c-8605-d5e49dca2558" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_23a45edc-1ff6-4c95-835c-aa1269ae8282" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_163d71c7-2da1-4c5c-8605-d5e49dca2558" xlink:to="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_23a45edc-1ff6-4c95-835c-aa1269ae8282" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_8499b9d8-0dc6-45a9-9420-b23986d3b7e3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_163d71c7-2da1-4c5c-8605-d5e49dca2558" xlink:to="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_8499b9d8-0dc6-45a9-9420-b23986d3b7e3" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/INCOMETAXESReconciliationofTaxesattheFederalStatutoryRateDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#INCOMETAXESReconciliationofTaxesattheFederalStatutoryRateDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/INCOMETAXESReconciliationofTaxesattheFederalStatutoryRateDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_90d31398-aba4-4caa-8e51-518fd7830285" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_90d31398-aba4-4caa-8e51-518fd7830285" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense_b1dd2329-d1f9-430f-9e38-c623fe66e949" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense_b1dd2329-d1f9-430f-9e38-c623fe66e949" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_ca9d2991-ca38-4965-83b6-02593ad1dab3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_ca9d2991-ca38-4965-83b6-02593ad1dab3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_775dfdfe-3e39-4a2c-8c6d-2cf3fae51b6d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_775dfdfe-3e39-4a2c-8c6d-2cf3fae51b6d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_9bb4ceda-888b-4f97-8632-e0e72c4aa673" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_9bb4ceda-888b-4f97-8632-e0e72c4aa673" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_EffectiveIncomeTaxRateReconciliationOtherComprehensiveIncomeAdjustmentPercent_5026f586-be77-41c6-b9ac-a0564aedf941" xlink:href="cmpo-20221231.xsd#cmpo_EffectiveIncomeTaxRateReconciliationOtherComprehensiveIncomeAdjustmentPercent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_cmpo_EffectiveIncomeTaxRateReconciliationOtherComprehensiveIncomeAdjustmentPercent_5026f586-be77-41c6-b9ac-a0564aedf941" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_6e438b67-33b0-42a3-b419-6e8838510909" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_e4c5cfd4-38f1-4338-bca4-d0daeddcaac7" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_6e438b67-33b0-42a3-b419-6e8838510909" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/INCOMETAXESComponentsofDeferredTaxAssetsDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#INCOMETAXESComponentsofDeferredTaxAssetsDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/INCOMETAXESComponentsofDeferredTaxAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_f8bd3ab5-b87f-4194-9808-32aaa0d53a58" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsContingencies_8350bfc3-6454-4914-a391-729fa713712e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsContingencies"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_f8bd3ab5-b87f-4194-9808-32aaa0d53a58" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsContingencies_8350bfc3-6454-4914-a391-729fa713712e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsInvestments_bc85a36a-9e6a-4d99-9116-54c524df9a78" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsInvestments"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_f8bd3ab5-b87f-4194-9808-32aaa0d53a58" xlink:to="loc_us-gaap_DeferredTaxAssetsInvestments_bc85a36a-9e6a-4d99-9116-54c524df9a78" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetInterestCarryforward_2c267c0f-6ca0-406d-b354-b9e146871dad" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetInterestCarryforward"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_f8bd3ab5-b87f-4194-9808-32aaa0d53a58" xlink:to="loc_us-gaap_DeferredTaxAssetInterestCarryforward_2c267c0f-6ca0-406d-b354-b9e146871dad" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_a7ee957d-bc4b-4f09-a62b-be2c47d36de1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_f8bd3ab5-b87f-4194-9808-32aaa0d53a58" xlink:to="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_a7ee957d-bc4b-4f09-a62b-be2c47d36de1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsNet_f06d3791-c5f6-4606-8b6c-832b174e8fa5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance_b3058f27-3512-4985-a75e-f656e907a560" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_f06d3791-c5f6-4606-8b6c-832b174e8fa5" xlink:to="loc_us-gaap_DeferredTaxAssetsValuationAllowance_b3058f27-3512-4985-a75e-f656e907a560" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_a7e111a8-c847-40d9-b015-c1ace1e7f199" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_f06d3791-c5f6-4606-8b6c-832b174e8fa5" xlink:to="loc_us-gaap_DeferredTaxAssetsGross_a7e111a8-c847-40d9-b015-c1ace1e7f199" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/EARNINGSPERSHAREBasicandDilutedCalculationDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#EARNINGSPERSHAREBasicandDilutedCalculationDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/EARNINGSPERSHAREBasicandDilutedCalculationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_5034c857-2fc5-451a-b5aa-e384ce0978a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_d70a2b7d-0f39-4da8-8a53-e59426782158" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_5034c857-2fc5-451a-b5aa-e384ce0978a7" xlink:to="loc_us-gaap_ProfitLoss_d70a2b7d-0f39-4da8-8a53-e59426782158" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_6b01bb65-e41a-408a-96f0-2fbfec58c6be" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_5034c857-2fc5-451a-b5aa-e384ce0978a7" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_6b01bb65-e41a-408a-96f0-2fbfec58c6be" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_83b30fca-42a6-4004-acf9-e51b069d89b0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DilutiveSecurities_8633247e-d7e9-4fec-961f-a4bad333b570" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DilutiveSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_83b30fca-42a6-4004-acf9-e51b069d89b0" xlink:to="loc_us-gaap_DilutiveSecurities_8633247e-d7e9-4fec-961f-a4bad333b570" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_898c9f66-0e2b-4168-a36e-73226594e05b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_83b30fca-42a6-4004-acf9-e51b069d89b0" xlink:to="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_898c9f66-0e2b-4168-a36e-73226594e05b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_4be3f097-8746-4040-b8b2-67c2b5fb4c6b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_79deab9d-f715-412a-94b0-bed1634d8968" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_4be3f097-8746-4040-b8b2-67c2b5fb4c6b" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_79deab9d-f715-412a-94b0-bed1634d8968" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_d790be39-5f8d-44e9-9ebc-32c4d823bae4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_4be3f097-8746-4040-b8b2-67c2b5fb4c6b" xlink:to="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_d790be39-5f8d-44e9-9ebc-32c4d823bae4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://composecure.com/role/COMMITMENTSANDCONTINGENCIESScheduleofTaxReceivableAgreementMaturityDetails" xlink:type="simple" xlink:href="cmpo-20221231.xsd#COMMITMENTSANDCONTINGENCIESScheduleofTaxReceivableAgreementMaturityDetails"/>
  <link:calculationLink xlink:role="http://composecure.com/role/COMMITMENTSANDCONTINGENCIESScheduleofTaxReceivableAgreementMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiability"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearTwo_479056d1-8f3f-42fe-8ec3-656626770cf2" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidYearTwo"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearTwo_479056d1-8f3f-42fe-8ec3-656626770cf2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearFour_69ba786b-a56f-4a49-a8c6-3712636cd3b2" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidYearFour"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearFour_69ba786b-a56f-4a49-a8c6-3712636cd3b2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearFive_02951303-df06-4321-8552-76178c45a01f" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidYearFive"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearFive_02951303-df06-4321-8552-76178c45a01f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearOne_4ca63764-3409-4c6d-ab5b-d8e325562296" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidYearOne"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearOne_4ca63764-3409-4c6d-ab5b-d8e325562296" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearThree_ff2c9d14-9ba5-470d-8456-067453c695d3" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidYearThree"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidYearThree_ff2c9d14-9ba5-470d-8456-067453c695d3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidAfterYearFive_12cad8fe-9b65-4ebb-899f-b06b0ffd141d" xlink:href="cmpo-20221231.xsd#cmpo_TaxReceivableAgreementLiabilityToBePaidAfterYearFive"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_cmpo_TaxReceivableAgreementLiability_ff026915-585a-464c-8ac3-5fc751f915db" xlink:to="loc_cmpo_TaxReceivableAgreementLiabilityToBePaidAfterYearFive_12cad8fe-9b65-4ebb-899f-b06b0ffd141d" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
