derivative_builder.hpp File Reference

Fluent builder pattern for symbolic differentiation. More...

#include <tuple>
#include <utility>
#include "nodes/binary.hpp"

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Classes
struct	limes::expr::DerivativeBuilder< E >
	Fluent builder for computing symbolic derivatives. More...
struct	limes::expr::is_derivative_builder< T >
struct	limes::expr::is_derivative_builder< DerivativeBuilder< E > >

Namespaces
namespace	limes
namespace	limes::expr
	Expression layer for composable calculus.

Functions
template<typename E > requires (is_expr_node_v<E> && !is_derivative_builder_v<E>)
constexpr auto	limes::expr::derivative (E expr)
	Create a DerivativeBuilder for fluent derivative computation.

Variables
template<typename T >
constexpr bool	limes::expr::is_derivative_builder_v = is_derivative_builder<T>::value

Detailed Description

Fluent builder pattern for symbolic differentiation.

This module provides the DerivativeBuilder class and derivative() function for computing symbolic derivatives using a fluent API.

Usage

using namespace limes::expr;
 
auto x = arg<0>;
auto y = arg<1>;
auto f = sin(x*x) + cos(y);
 
// Single partial derivative
auto df_dx = derivative(f).wrt<0>();      // ∂f/∂x = 2x·cos(x²)
 
// Mixed partial derivative
auto d2f = derivative(f).wrt<0>().wrt<1>(); // ∂²f/∂x∂y
 
// Convenience for second-order
auto d2f_dx2 = derivative(f).wrt<0, 0>();   // ∂²f/∂x²
 
// Gradient (all first partials)
auto [fx, fy] = derivative(f).gradient();

See also

derivative() Entry point function

DerivativeBuilder Builder class

Definition in file derivative_builder.hpp.