User guide

Contents:

• 1. Introduction
• 2. Symbolic manipulation
• 3. Advanced derivatives
  • 3.1. Derivatives with respect to symbolic functions
  • 3.2. Truncated derivatives
• 4. Generating code
  • 4.1. Generating a function
  • 4.2. Output arguments
  • 4.3. Conditional logic
  • 4.4. Inspecting the AST
• 5. Calling generated code
  • 5.1. C++
  • 5.2. Rust
• 6. Returning matrices
• 7. Type annotations
• 8. Generating Python
  • 8.1. JIT compilation with Numba
• 9. Boolean expressions and conditionals
  • 9.1. Relationals
  • 9.2. Conditional logic
  • 9.3. Casting booleans
• 10. 3D Rotations
  • 10.1. Tangent-space Jacobians
• 11. Interfacing with existing types
  • 11.1. Defining a custom type
  • 11.2. Customizing code generation
  • 11.3. Emitting a custom constructor call
• 12. Calling external functions
  • 12.1. Declaring an external function
• 13. Adding a new target language
• 14. SymPy Interoperability
  • 14.1. Example: Computing eigenvalues
  • 14.2. Further examples