Context Theoretical foundations Outline of an implementation Conclusion High-Performance Numerical Integration in the Age of C++26 Vincent Reverdy Laboratoire d’Annecy de Physique des Particules, France Context Theoretical foundations Outline of an implementation Conclusion Toward an improved version Integration function (1/4) // Integrate the Friedmann −Lemaitre(−Robertson −Walker) equations template < Context Theoretical foundations Outline of an implementation Conclusion Toward an improved version Integration function (2/4) // Initialization const value_type omega = omega_r0 + omega_m0 + omega_l0; const

Authors May 22, 2025CONTENTS 1 Quick links 3 2 Hello, world 5 3 Threads and WSGI 7 4 asyncio Integration 9 5 Installation 11 6 Documentation 13 6.1 User’s guide . . . . . . . . . . . . . . . . . . concurrency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 6.6 Integration with other services . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . code. 7Tornado Documentation, Release 6.5.1 8 Chapter 3. Threads and WSGICHAPTER FOUR ASYNCIO INTEGRATION Tornado is integrated with the standard library asyncio module and shares the same event loop

4 Remote USB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 7.1.5 RDP authentication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 7.1.6 RDP encryption . . . . . Configuration of Virtual Machines . . . . . . . . . . . . . . . . . 216 13.3.3 Configuring and Using Authentication . . . . . . . . . . . . . . . . . . . 217 13.3.4 Potentially insecure operations . . . . . . installed inside of supported guest systems to improve their performance and to provide additional integration and communi- cation with the host system. After installing the Guest Additions, a virtual machine

4 Remote USB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7.1.5 RDP authentication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7.1.6 RDP encryption . . . . . Configuration of Virtual Machines . . . . . . . . . . . . . . . . . 228 13.3.3 Configuring and Using Authentication . . . . . . . . . . . . . . . . . . . 229 13.3.4 Potentially insecure operations . . . . . . installed inside of supported guest systems to improve their performance and to provide additional integration and communi- cation with the host system. After installing the Guest Additions, a virtual machine

4 Remote USB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 7.1.5 RDP authentication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 7.1.6 RDP encryption . . . . . Configuration of Virtual Machines . . . . . . . . . . . . . . . . . 195 13.3.3 Configuring and Using Authentication . . . . . . . . . . . . . . . . . . . 196 13.3.4 Potentially insecure operations . . . . . . installed inside of supported guest systems to improve their performance and to provide additional integration and communi- cation with the host system. After installing the Guest Additions, a virtual machine

4 Remote USB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.1.5 RDP authentication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.1.6 RDP encryption . . . . . Configuration of Virtual Machines . . . . . . . . . . . . . . . . . 278 13.3.3 Configuring and Using Authentication . . . . . . . . . . . . . . . . . . . 279 13.3.4 Potentially insecure operations . . . . . . installed inside of supported guest systems to improve their performance and to provide additional integration and communi- cation with the host system. After installing the Guest Additions, a virtual machine

4 Remote USB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.1.5 RDP authentication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.1.6 RDP encryption . . . . . Configuration of Virtual Machines . . . . . . . . . . . . . . . . . 277 13.3.3 Configuring and Using Authentication . . . . . . . . . . . . . . . . . . . 278 13.3.4 Potentially insecure operations . . . . . . installed inside of supported guest systems to improve their performance and to provide additional integration and communi- cation with the host system. After installing the Guest Additions, a virtual machine

ones. It is specifically designed and optimized for accelerating the development and Continuous Integration of C and C++ projects. With full binary management, it can create and reuse any number of different avoiding repeated builds from source, it saves signifi- cant time for developers and Continuous Integration servers, while also improving the reproducibility and traceability of artifacts. A package is fully transparent CMake integration (i.e. the consuming CMakeLists.txt doesn’t need to be aware at all about Conan). These integrations can also achieve a better IDE integration, for example via CMakeP-

installed outside a conda environment or inside a conda environment. To gain the benefits of conda integration, be sure to install pip inside the currently active conda environment and then install packages configuration options for individual channels. This is currently used to register additional authentication handlers for conda via the Auth Handlers plugin hook, but may also accom- modate more use cases cases in the future. Here is an example of how it may be defined provided there was an available authentication handler called, "test-auth- handler" registered via the aforementioned plugin hook: channel_settings:

installed outside a conda environment or inside a conda environment. To gain the benefits of conda integration, be sure to install pip inside the currently active conda environment and then install packages configuration options for individual channels. This is currently used to register additional authentication handlers for conda via the Auth Handlers plugin hook, but may also accom- modate more use cases cases in the future. Here is an example of how it may be defined provided there was an available authentication handler called, "test-auth- handler" registered via the aforementioned plugin hook: channel_settings: