Simbody
3.7
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This is a Function_ subclass whose output value is a polynomial of its argument: f(x) = ax^n+bx^(n-1)+...+c. More...
Public Member Functions | |
Polynomial (const Vector_< T > &coefficients) | |
Create a Function_::Polynomial object. More... | |
T | calcValue (const Vector &x) const override |
Calculate the value of this function at a particular point. More... | |
T | calcDerivative (const Array_< int > &derivComponents, const Vector &x) const override |
Calculate a partial derivative of this function at a particular point. More... | |
int | getArgumentSize () const override |
Get the number of components expected in the input vector. More... | |
int | getMaxDerivativeOrder () const override |
Get the maximum derivative order this Function_ object can calculate. More... | |
Polynomial * | clone () const override |
Create a new heap-allocated copy of this concrete Function. More... | |
T | calcDerivative (const std::vector< int > &derivComponents, const Vector &x) const |
This provides compatibility with std::vector without requiring any copying. More... | |
Public Member Functions inherited from SimTK::Function_< T > | |
virtual | ~Function_ () |
T | calcDerivative (const std::vector< int > &derivComponents, const Vector &x) const |
This provides compatibility with std::vector without requiring any copying. More... | |
This is a Function_ subclass whose output value is a polynomial of its argument: f(x) = ax^n+bx^(n-1)+...+c.
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inline |
Create a Function_::Polynomial object.
coefficients | the polynomial coefficients in order of decreasing powers |
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inlineoverridevirtual |
Calculate the value of this function at a particular point.
x | the Vector of input arguments. Its size must equal the value returned by getArgumentSize(). |
Implements SimTK::Function_< T >.
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inlineoverridevirtual |
Calculate a partial derivative of this function at a particular point.
Which derivative to take is specified by listing the input components with which to take it. For example, if derivComponents=={0}, that indicates a first derivative with respective to component 0. If derivComponents=={0, 0, 0}, that indicates a third derivative with respective to component 0. If derivComponents=={4, 7}, that indicates a partial second derivative with respect to components 4 and 7.
derivComponents | The input components with respect to which the derivative should be taken. Its size must be less than or equal to the value returned by getMaxDerivativeOrder(). |
x | The Vector of input arguments. Its size must equal the value returned by getArgumentSize(). |
Implements SimTK::Function_< T >.
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inlineoverridevirtual |
Get the number of components expected in the input vector.
Implements SimTK::Function_< T >.
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inlineoverridevirtual |
Get the maximum derivative order this Function_ object can calculate.
Implements SimTK::Function_< T >.
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inlineoverridevirtual |
Create a new heap-allocated copy of this concrete Function.
For backwards compatibility this is not pure virtual; it has a default implementation that throws an exception if called. However, it should always be implemented.
Reimplemented from SimTK::Function_< T >.
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inline |
This provides compatibility with std::vector without requiring any copying.