diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 00000000..e0e8058c
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,33 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+cmake_minimum_required(VERSION 3.16)
+project(swift-numerics
+  LANGUAGES Swift)
+
+list(APPEND CMAKE_MODULE_PATH ${CMAKE_SOURCE_DIR}/cmake/modules)
+
+set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib)
+set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib)
+set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin)
+set(CMAKE_Swift_MODULE_DIRECTORY ${CMAKE_BINARY_DIR}/swift)
+
+include(CTest)
+include(SwiftSupport)
+
+add_subdirectory(Sources)
+if(BUILD_TESTING)
+  add_subdirectory(Tests)
+endif()
+
+get_property(SWIFT_NUMERICS_EXPORTS GLOBAL PROPERTY SWIFT_NUMERICS_EXPORTS)
+export(TARGETS ${SWIFT_NUMERICS_EXPORTS}
+  NAMESPACE SwiftNumerics::
+  FILE swift-numerics-config.cmake
+  EXPORT_LINK_INTERFACE_LIBRARIES)
diff --git a/Sources/CMakeLists.txt b/Sources/CMakeLists.txt
new file mode 100644
index 00000000..4107e691
--- /dev/null
+++ b/Sources/CMakeLists.txt
@@ -0,0 +1,13 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_subdirectory(_NumericsShims)
+add_subdirectory(ComplexModule)
+add_subdirectory(Numerics)
+add_subdirectory(RealModule)
diff --git a/Sources/ComplexModule/CMakeLists.txt b/Sources/ComplexModule/CMakeLists.txt
new file mode 100644
index 00000000..7ddfbd1c
--- /dev/null
+++ b/Sources/ComplexModule/CMakeLists.txt
@@ -0,0 +1,21 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(ComplexModule
+  Arithmetic.swift
+  Complex.swift
+  Differentiable.swift)
+set_target_properties(ComplexModule PROPERTIES
+  INTERFACE_INCLUDE_DIRECTORIES ${CMAKE_Swift_MODULE_DIRECTORY})
+target_link_libraries(ComplexModule PUBLIC
+  RealModule)
+
+
+_install_target(ComplexModule)
+set_property(GLOBAL APPEND PROPERTY SWIFT_NUMERICS_EXPORTS ComplexModule)
diff --git a/Sources/Numerics/CMakeLists.txt b/Sources/Numerics/CMakeLists.txt
new file mode 100644
index 00000000..9eea6aea
--- /dev/null
+++ b/Sources/Numerics/CMakeLists.txt
@@ -0,0 +1,20 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(Numerics
+  Numerics.swift)
+set_target_properties(Numerics PROPERTIES
+  INTERFACE_INCLUDE_DIRECTORIES ${CMAKE_Swift_MODULE_DIRECTORY})
+target_link_libraries(Numerics PUBLIC
+  ComplexModule
+  RealModule)
+
+
+_install_target(Numerics)
+set_property(GLOBAL APPEND PROPERTY SWIFT_NUMERICS_EXPORTS Numerics)
diff --git a/Sources/RealModule/CMakeLists.txt b/Sources/RealModule/CMakeLists.txt
new file mode 100644
index 00000000..37a8b61d
--- /dev/null
+++ b/Sources/RealModule/CMakeLists.txt
@@ -0,0 +1,25 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(RealModule
+  AlgebraicField.swift
+  Double+Real.swift
+  ElementaryFunctions.swift
+  Float+Real.swift
+  Float80+Real.swift
+  Real.swift
+  RealFunctions.swift)
+set_target_properties(RealModule PROPERTIES
+  INTERFACE_INCLUDE_DIRECTORIES ${CMAKE_Swift_MODULE_DIRECTORY})
+target_link_libraries(RealModule PUBLIC
+  _NumericsShims)
+
+
+_install_target(RealModule)
+set_property(GLOBAL APPEND PROPERTY SWIFT_NUMERICS_EXPORTS RealModule)
diff --git a/Sources/_NumericsShims/CMakeLists.txt b/Sources/_NumericsShims/CMakeLists.txt
new file mode 100644
index 00000000..92ed5238
--- /dev/null
+++ b/Sources/_NumericsShims/CMakeLists.txt
@@ -0,0 +1,14 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(_NumericsShims INTERFACE)
+target_include_directories(_NumericsShims INTERFACE
+  include)
+
+set_property(GLOBAL APPEND PROPERTY SWIFT_NUMERICS_EXPORTS _NumericsShims)
diff --git a/Sources/_NumericsShims/include/module.modulemap b/Sources/_NumericsShims/include/module.modulemap
new file mode 100644
index 00000000..077fb436
--- /dev/null
+++ b/Sources/_NumericsShims/include/module.modulemap
@@ -0,0 +1,3 @@
+module _NumericsShims {
+  header "_NumericsShims.h"
+}
diff --git a/Tests/CMakeLists.txt b/Tests/CMakeLists.txt
new file mode 100644
index 00000000..b879f0e4
--- /dev/null
+++ b/Tests/CMakeLists.txt
@@ -0,0 +1,24 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+find_package(dispatch CONFIG QUIET)
+find_package(Foundation CONFIG QUIET)
+find_package(XCTest CONFIG QUIET)
+
+add_subdirectory(ComplexTests)
+add_subdirectory(RealTests)
+
+add_executable(SwiftNumericsTestRunner
+  WindowsMain.swift)
+target_link_libraries(SwiftNumericsTestRunner PRIVATE
+  ComplexTests
+  RealTests)
+
+add_test(NAME SwiftNumericsTestRunner
+  COMMAND SwiftNumericsTestRunner)
diff --git a/Tests/ComplexTests/CMakeLists.txt b/Tests/ComplexTests/CMakeLists.txt
new file mode 100644
index 00000000..88502cfc
--- /dev/null
+++ b/Tests/ComplexTests/CMakeLists.txt
@@ -0,0 +1,21 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(ComplexTests
+  ArithmeticTests.swift
+  DifferentiableTests.swift
+  PropertyTests.swift)
+set_target_properties(ComplexTests PROPERTIES
+  INTERFACE_INCLUDE_DIRECTORIES ${CMAKE_Swift_MODULE_DIRECTORY})
+target_compile_options(ComplexTests PRIVATE
+  -enable-testing)
+target_link_libraries(ComplexTests PUBLIC
+  $<$<NOT:$<PLATFORM_ID:Darwin>>:Foundation>
+  ComplexModule
+  XCTest)
diff --git a/Tests/RealTests/CMakeLists.txt b/Tests/RealTests/CMakeLists.txt
new file mode 100644
index 00000000..53c9a4f3
--- /dev/null
+++ b/Tests/RealTests/CMakeLists.txt
@@ -0,0 +1,19 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+add_library(RealTests
+  IntegerExponentTests.swift
+  RealTests.swift
+  RealTestSupport.swift)
+target_compile_options(RealTests PRIVATE
+  -enable-testing)
+target_link_libraries(RealTests PUBLIC
+  $<$<NOT:$<PLATFORM_ID:Darwin>>:Foundation>
+  RealModule
+  XCTest)
diff --git a/Tests/WindowsMain.swift b/Tests/WindowsMain.swift
new file mode 100644
index 00000000..9414d237
--- /dev/null
+++ b/Tests/WindowsMain.swift
@@ -0,0 +1,76 @@
+//===--- WindowsMain.swift ------------------------------------*- swift -*-===//
+//
+// This source file is part of the Swift Numerics open source project
+//
+// Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+// Licensed under Apache License v2.0 with Runtime Library Exception
+//
+// See https://swift.org/LICENSE.txt for license information
+//
+//===----------------------------------------------------------------------===//
+
+#if os(Windows)
+import XCTest
+
+@testable
+import RealTests
+
+@testable
+import ComplexTests
+
+extension ElementaryFunctionChecks {
+  static var all = testCase([
+    ("testFloat", ElementaryFunctionChecks.testFloat),
+    ("testDouble", ElementaryFunctionChecks.testDouble),
+  ])
+}
+
+extension IntegerExponentTests {
+  static var all = testCase([
+    ("testFloat", IntegerExponentTests.testFloat),
+    ("testDouble", IntegerExponentTests.testDouble),
+  ])
+}
+
+extension ArithmeticTests {
+  static var all = testCase([
+    ("testPolar", ArithmeticTests.testPolar),
+    ("testBaudinSmith", ArithmeticTests.testBaudinSmith),
+    ("testDivisionByZero", ArithmeticTests.testDivisionByZero),
+  ])
+}
+
+#if canImport(_Differentiation)
+  extension DifferentiableTests {
+    static var all = testCase([
+      ("testComponentGetter", DifferentiableTests.testComponentGetter),
+      ("testConjugate",  DifferentiableTests.testConjugate),
+      ("testArithmetics", DifferentiableTests.testArithmetics),
+    ])
+  }
+#endif
+
+extension PropertyTests {
+  static var all = testCase([
+    ("testProperties", PropertyTests.testProperties),
+    ("testEquatableHashable", PropertyTests.testEquatableHashable),
+    ("testCodable", PropertyTests.testCodable),
+  ])
+}
+
+var testCases = [
+  ElementaryFunctionChecks.all,
+  IntegerExponentTests.all,
+  ArithmeticTests.all,
+  PropertyTests.all,
+]
+
+#if canImport(_Differentiation)
+testCases += [
+  DifferentiableTests.all
+]
+#endif
+
+XCTMain(testCases)
+
+#endif
diff --git a/cmake/modules/SwiftSupport.cmake b/cmake/modules/SwiftSupport.cmake
new file mode 100644
index 00000000..ec268ed6
--- /dev/null
+++ b/cmake/modules/SwiftSupport.cmake
@@ -0,0 +1,84 @@
+#[[
+This source file is part of the Swift Numerics open source project
+
+Copyright (c) 2019 Apple Inc. and the Swift Numerics project authors
+Licensed under Apache License v2.0 with Runtime Library Exception
+
+See https://swift.org/LICENSE.txt for license information
+#]]
+
+# Returns the architecture name in a variable
+#
+# Usage:
+#   get_swift_host_arch(result_var_name)
+#
+# Sets ${result_var_name} with the converted architecture name derived from
+# CMAKE_SYSTEM_PROCESSOR.
+function(get_swift_host_arch result_var_name)
+  if("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "x86_64")
+    set("${result_var_name}" "x86_64" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "aarch64")
+    set("${result_var_name}" "aarch64" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "ppc64")
+    set("${result_var_name}" "powerpc64" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "ppc64le")
+    set("${result_var_name}" "powerpc64le" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "s390x")
+    set("${result_var_name}" "s390x" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "armv6l")
+    set("${result_var_name}" "armv6" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "armv7l")
+    set("${result_var_name}" "armv7" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "armv7-a")
+    set("${result_var_name}" "armv7" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "AMD64")
+    set("${result_var_name}" "x86_64" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "IA64")
+    set("${result_var_name}" "itanium" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "x86")
+    set("${result_var_name}" "i686" PARENT_SCOPE)
+  elseif("${CMAKE_SYSTEM_PROCESSOR}" STREQUAL "i686")
+    set("${result_var_name}" "i686" PARENT_SCOPE)
+  else()
+    message(FATAL_ERROR "Unrecognized architecture on host system: ${CMAKE_SYSTEM_PROCESSOR}")
+  endif()
+endfunction()
+
+# Returns the os name in a variable
+#
+# Usage:
+#   get_swift_host_os(result_var_name)
+#
+#
+# Sets ${result_var_name} with the converted OS name derived from
+# CMAKE_SYSTEM_NAME.
+function(get_swift_host_os result_var_name)
+  if(CMAKE_SYSTEM_NAME STREQUAL Darwin)
+    set(${result_var_name} macosx PARENT_SCOPE)
+  else()
+    string(TOLOWER ${CMAKE_SYSTEM_NAME} cmake_system_name_lc)
+    set(${result_var_name} ${cmake_system_name_lc} PARENT_SCOPE)
+  endif()
+endfunction()
+
+function(_install_target module)
+  get_swift_host_arch(swift_arch)
+  get_swift_host_os(swift_os)
+  install(TARGETS ${module}
+    ARCHIVE DESTINATION lib/swift$<$<NOT:$<BOOL:${BUILD_SHARED_LIBS}>>:_static>/${swift_os}
+    LIBRARY DESTINATION lib/swift$<$<NOT:$<BOOL:${BUILD_SHARED_LIBS}>>:_static>/${swift_os}
+    RUNTIME DESTINATION bin)
+  if(CMAKE_SYSTEM_NAME STREQUAL Darwin)
+    install(FILES $<TARGET_PROPERTY:${module},Swift_MODULE_DIRECTORY>/${module}.swiftdoc
+      DESTINATION lib/swift$<$<NOT:$<BOOL:${BUILD_SHARED_LIBS}>>:_static>/${swift_os}/${mmodule}.swiftmodule
+      RENAME ${swift_arch}.swiftdoc)
+    install(FILES $<TARGET_PROPERTY:${module},Swift_MODULE_DIRECTORY>/${module}.swiftmodule
+      DESTINATION lib/swift$<$<NOT:$<BOOL:${BUILD_SHARED_LIBS}>>:_static>/${swift_os}/${mmodule}.swiftmodule
+      RENAME ${swift_arch}.swiftmodule)
+  else()
+    install(FILES
+      $<TARGET_PROPERTY:${module},Swift_MODULE_DIRECTORY>/${module}.swiftdoc
+      $<TARGET_PROPERTY:${module},Swift_MODULE_DIRECTORY>/${module}.swiftmodule
+      DESTINATION lib/swift$<$<NOT:$<BOOL:${BUILD_SHARED_LIBS}>>:_static>/${swift_os}/${swift_arch})
+  endif()
+endfunction()