.\"
.de Id
..
.de Sp
.if n .sp
.if t .sp 0.4
..
.TH ad3 2rheolef "rheolef-7.0" "rheolef-7.0" "rheolef-7.0"
.\" label: /*Class:ad3
.SH NAME
\fBad3\fP - automatic differentiation with respect to variables in R^3
.\" skip: @clindex ad3
.SH DESCRIPTION

The \fBad3\fP class defines a forward automatic differentiation
in R^3 for computing automatically the gradient of a function from R^3 to R.
The implementation uses a simple forward automatic differentiation method.
.SH EXAMPLE

.\" begin_example
.Sp
.nf
    template<class T>
    T f (const point_basic<T>& x) { return sqr(x[0]) + x[0]*x[1] + 1/x[2]; }
    ...
    point_basic<ad3> x_ad = ad3::point (x);
    ad3 y_ad = f(x_ad);
    cout << "f       ="<<y_ad <<endl
         << "gradq(f)="<<y_ad.grad() <<endl;
.Sp
.fi
.\" end_example
.\" skip start:AUTHOR:
.\" skip start:DATE:
.\" END
.SH COPYRIGHT
Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>.
This is free software: you are free to change and redistribute it.  There is NO WARRANTY, to the extent permitted by law.