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# Welcome to the ADOL-C home page

## Introduction

The package ADOL-C (**A**utomatic **D**ifferentiation by **O**ver**L**oading in **C**++) facilitates the evaluation of first and higher derivatives of vector functions that are defined by computer programs written in C or C++. The resulting derivative evaluation routines may be called from C/C++, Fortran, or any other language that can be linked with C.

The numerical values of derivative vectors are obtained free of truncation errors at a small multiple of the run time and randomly accessed memory of the given function evaluation program.

## Functionality

ADOL-C uses the operator overloading concept to compute in forward and reverse mode of automatic differentiation:

- derivatives of any order
- one-sided derivatives in non-smooth cases (e.g. evaluation of fabs)

for a function that is given as a C/C++ code. The user has to make a few modifications to the evaluation code:

- redeclare type of all variables that are involved in the evaluation code (active variables) to the new type adouble,
- mark the evaluation section,
- specify independent and dependent variables and pass their values,
- recompile the code and link the ADOL-C library.

ADOL-C provides:

- convenient drivers for common differentiation tasks,
- application oriented drivers, e.g.
- for the computation of sparsity patterns
- for ordinary differential equations
- for the calculation of full higher-derivative tensors

- advanced automatic differentiation, i.e.
- optimal checkpointing for time integrations
- adapted automatic differentiation of fixpoint iterations

- parallel automatic differentiation of OpenMP parallel programs

The operator overloading is used to produce the tape, an internal representation of the evaluation section marked for differentiation. For each operation on the tape

- truncated Taylor series are propagated in the forward mode
- the corresponding adjoint operations are performed on the adjoint variables in the reverse mode.

## Download

ADOL-C is written in C++ and is released as open source code under the Common Public License (CPL) or the GNU Gerneral Public License (GPL). It is available from the COIN-OR initiative.

Download ADOL-C (source tarballs). You can also obtain the ADOL-C code via Subversion. Please refer to the Installation Instructions for COIN projects.

Individual files can also be obtained from the svn web interface (see the "Browse Source" button above).

## Documentation

The PDF version of the ADOL-C documentation can be downloaded here