#ifndef DEF_AUTOMATIC_DIFFERENTIATION_STATIC #define DEF_AUTOMATIC_DIFFERENTIATION_STATIC #undef __Dual_DualBase #undef __Dual_VectorT #undef __Dual_bdynamic #define __Dual_DualBase DualS #define __Dual_VectorT Eigen::Array #define __Dual_bdynamic 0 #include "AutomaticDifferentiation_base.hpp" /// Function object to evaluate the derivative of a univariate function anywhere without explicitely using the dual numbers. /// /// Here is an example of use : /// /// template fct(T x) { return exp(-x*x); } /// /// Scalar x = 3.14; /// auto gradFct = GradFunc1(fct, x); // x is only passed to the function so that the full type of GradFunc1 does not need to be written manually. /// Scalar dfdx = gradFct(x); // Evaluation of the gradient of fct at x. /// /// // Alternatively : /// Scalar fx, dfdx; /// gradFct.get_f_grad(x, fx, dfdx); // Evaluation of the gradient of fct at x. template struct GradFunc1 { Func f; /// Constructor of the gradient function object. The second parameter IS NOT USED FOR THE COMPUTATION OF THE GRADIENT, but only as a convenience for the /// automatic detection of the Scalar variable type. GradFunc1(Func f_, Scalar) : f(f_) {} // Function that returns the 1st derivative of the function f at x. Scalar operator()(Scalar const& x) { // differentiate using the dual number and return the .b component. DualS X(x); X.diff(0); DualS Y = f(X); return Y.d(0); } /// Function that returns both the function value and the gradient of f at x. Use this preferably over separate calls to f and to gradf. void get_f_grad(Scalar const& x, Scalar & fx, Scalar & gradfx) { // differentiate using the dual number and return the .b component. DualS X(x); X.diff(0); DualS Y = f(X); fx = Y.x(); gradfx = Y.d(0); } }; #endif