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Дата изменения: Unknown Дата индексирования: Mon Feb 14 21:18:48 2011 Кодировка: Поисковые слова: р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п |
Class that computes partial derivatives by automatic differentiation. More...
#include <AutoDiffA.h>
Public Member Functions | |
AutoDiffA () | |
Construct a constant with a value of zero. | |
AutoDiffA (const T &v) | |
Construct a constant with a value of v. | |
AutoDiffA (const T &v, const uInt ndiffs, const uInt n) | |
A function f(x0,x1,...,xn,...) with a value of v. | |
AutoDiffA (const T &v, const uInt ndiffs) | |
A function f(x0,x1,...,xn,...) with a value of v. | |
AutoDiffA (const AutoDiff< T > &other) | |
Construct one from another. | |
AutoDiffA (const T &v, const Vector< T > &derivs) | |
Construct a function f(x0,x1,...,xn) of a value v and a vector of derivatives derivs(0) = df/dx0, derivs(1) = df/dx1, ..\. | |
~AutoDiffA () | |
AutoDiffA< T > & | operator= (const T &v) |
Assignment operator. | |
AutoDiffA< T > & | operator= (const AutoDiff< T > &other) |
Assign one to another. |
Class that computes partial derivatives by automatic differentiation.
Public interface
Class that computes partial derivatives by automatic differentiation, thus AutoDiff.
AutoDiffA is an AutoDiff . It is used to be able to distinguish between two template incarnations; e.g. to have one or more specializations, in addition to the general template version.
See for an extensive example the demo program dAutoDiff. It is based on the example given in the AutoDiff class, and shows how to have both an automatic and a specific version of a function object.
// The function, with fixed parameters a,b: template <class T> class f { public: T operator()(const T& x) { return a_p*a_p*a_p*b_p*b_p*x; } void set(const T& a, const T& b) { a_p = a; b_p = b; } private: T a_p; T b_p; }; // The specialized function template <> class f<AutoDiffA<Double> > { public: T operator()(const T& x) { return a_p*a_p*a_p*b_p*b_p*x; } void set(const T& a, const T& b) { a_p = a; b_p = b; } private: T a_p; T b_p; }; // Call it with different template arguments: AutoDiff<Double> a1(2,2,0), b1(3,2,1), x1(7); f<AutoDiff<Double> > f1; f1.set(a1, b1); cout << "Diff a,b: " << f1(x1) << endl; f<AutoDiffA<Double> > f12; f12.set(a1, b1); cout << "Same....: " << f12(x1) << endl; // Result will be: // Diff a,b: (504, [756, 336]) // Same....: (504, [756, 336]) // It needed the template instantiations definitions: template class f<AutoDiff<Double> >;
The class was created to enable separate calculations of the same function.
Definition at line 121 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | ) | [inline] |
Construct a constant with a value of zero.
Zero derivatives.
Definition at line 125 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | const T & | v | ) | [inline] |
Construct a constant with a value of v.
Zero derivatives.
Definition at line 128 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | const T & | v, | |
const uInt | ndiffs, | |||
const uInt | n | |||
) | [inline] |
A function f(x0,x1,...,xn,...) with a value of v.
The total number of derivatives is ndiffs, the nth derivative is one, and all others are zero.
Definition at line 133 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | const T & | v, | |
const uInt | ndiffs | |||
) | [inline] |
A function f(x0,x1,...,xn,...) with a value of v.
The total number of derivatives is ndiffs. All derivatives are zero.
Definition at line 139 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | const AutoDiff< T > & | other | ) | [inline] |
Construct one from another.
Definition at line 142 of file AutoDiffA.h.
casa::AutoDiffA< T >::AutoDiffA | ( | const T & | v, | |
const Vector< T > & | derivs | |||
) | [inline] |
Construct a function f(x0,x1,...,xn) of a value v and a vector of derivatives derivs(0) = df/dx0, derivs(1) = df/dx1, ..\.
Definition at line 146 of file AutoDiffA.h.
casa::AutoDiffA< T >::~AutoDiffA | ( | ) | [inline] |
Definition at line 148 of file AutoDiffA.h.
AutoDiffA<T>& casa::AutoDiffA< T >::operator= | ( | const T & | v | ) | [inline] |
Assignment operator.
Assign a constant to variable. All derivatives are zero.
Reimplemented from casa::AutoDiff< T >.
Definition at line 152 of file AutoDiffA.h.
Referenced by casa::AutoDiffA< T >::operator=().
AutoDiffA<T>& casa::AutoDiffA< T >::operator= | ( | const AutoDiff< T > & | other | ) | [inline] |
Assign one to another.
Reimplemented from casa::AutoDiff< T >.
Definition at line 158 of file AutoDiffA.h.
References casa::AutoDiffA< T >::operator=().