expr.hpp File Reference

Expression layer for composable calculus expressions. More...

#include "concepts.hpp"
#include "nodes/const.hpp"
#include "nodes/var.hpp"
#include "nodes/named_var.hpp"
#include "nodes/binary.hpp"
#include "nodes/unary.hpp"
#include "nodes/pow.hpp"
#include "nodes/primitives.hpp"
#include "nodes/binary_func.hpp"
#include "nodes/bound.hpp"
#include "nodes/conditional.hpp"
#include "nodes/sum_product.hpp"
#include "derivative.hpp"
#include "derivative_builder.hpp"
#include "antiderivatives.hpp"
#include "integral.hpp"
#include "product_integral.hpp"
#include "analysis.hpp"
#include "to_string.hpp"

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

Detailed Description

Expression layer for composable calculus expressions.

This module provides the user-facing API for building, differentiating, and integrating mathematical expressions. Derivatives are computed symbolically via chain rule at compile time; integrals are evaluated numerically with pluggable methods.

Usage

using namespace limes::expr;
 
auto x = arg<0>;                              // First variable
auto f = sin(x*x);                            // sin(x²)
auto df = derivative(f).wrt<0>();             // d/dx[sin(x²)] = 2x·cos(x²)
 
auto I = integral(x*x).over<0>(0.0, 1.0);     // ∫₀¹ x² dx
auto result = I.eval();                       // ≈ 1/3

Definition in file expr.hpp.