HessTestMetricRel Class Reference

Inheritance diagram for HessTestMetricRel:

Collaboration diagram for HessTestMetricRel:

Public Member Functions
std::string	get_name () const
bool	evaluate (const MsqMatrix< 2, 2 > &T, double &result, MsqError &)
	Evaluate \(\mu(T)\).
bool	evaluate (const MsqMatrix< 3, 3 > &T, double &result, MsqError &)
	Evaluate \(\mu(T)\).
bool	evaluate_with_grad (const MsqMatrix< 2, 2 > &T, double &result, MsqMatrix< 2, 2 > &wrt_T, MsqError &)
	Gradient of \(\mu(T)\) with respect to components of T.
bool	evaluate_with_grad (const MsqMatrix< 3, 3 > &T, double &result, MsqMatrix< 3, 3 > &wrt_T, MsqError &)
	Gradient of \(\mu(T)\) with respect to components of T.

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Detailed Description

Definition at line 109 of file TMetricTest.cpp.

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Member Function Documentation

bool HessTestMetricRel::evaluate	(	const MsqMatrix< 2, 2 > &	T,
		double &	result,
		MsqError &	err
	)		[inline, virtual]

Evaluate \(\mu(T)\).

Parameters:

T	2x2 relative measure matrix (typically A W^-1)
result	Output: value of function

Returns:

false if function cannot be evaluated for given T (e.g. division by zero, etc.), true otherwise.

Reimplemented from MBMesquite::TMetric.

Definition at line 117 of file TMetricTest.cpp.

References MBMesquite::sqr_Frobenius(), and MBMesquite::transpose().

    {
        result = sqr_Frobenius( 2 * T - transpose( T ) );
        return true;
    }

bool HessTestMetricRel::evaluate	(	const MsqMatrix< 3, 3 > &	T,
		double &	result,
		MsqError &	err
	)		[inline, virtual]

Evaluate \(\mu(T)\).

Parameters:

T	3x3 relative measure matrix (typically A W^-1)
result	Output: value of function

Returns:

false if function cannot be evaluated for given T (e.g. division by zero, etc.), true otherwise.

Reimplemented from MBMesquite::TMetric.

Definition at line 122 of file TMetricTest.cpp.

References MBMesquite::sqr_Frobenius(), and MBMesquite::transpose().

    {
        result = sqr_Frobenius( 2 * T - transpose( T ) );
        return true;
    }

bool HessTestMetricRel::evaluate_with_grad	(	const MsqMatrix< 2, 2 > &	T,
		double &	result,
		MsqMatrix< 2, 2 > &	deriv_wrt_T,
		MsqError &	err
	)		[inline, virtual]

Gradient of \(\mu(T)\) with respect to components of T.

Parameters:

T	2x2 relative measure matrix (typically A W^-1)
result	Output: value of function
deriv_wrt_T	Output: partial deriviatve of \(\mu\) wrt each term of T, evaluated at passed T. \[\left[\begin{array}{cc} \frac{\partial\mu}{\partial T_{0,0}} & \frac{\partial\mu}{\partial T_{0,1}} \\ \frac{\partial\mu}{\partial T_{1,0}} & \frac{\partial\mu}{\partial T_{1,1}} \\ \end{array}\right]\]

Returns:

false if function cannot be evaluated for given T (e.g. division by zero, etc.), true otherwise.

Reimplemented from MBMesquite::TMetric.

Definition at line 127 of file TMetricTest.cpp.

References MBMesquite::sqr_Frobenius(), and MBMesquite::transpose().

Referenced by TMetricTest< Metric, DIM >::test_numerical_hessian_2D(), and TMetricTest< Metric, DIM >::test_numerical_hessian_3D().

    {
        result = sqr_Frobenius( 2 * T - transpose( T ) );
        wrt_T  = 10 * T - 8 * transpose( T );
        return true;
    }

bool HessTestMetricRel::evaluate_with_grad	(	const MsqMatrix< 3, 3 > &	T,
		double &	result,
		MsqMatrix< 3, 3 > &	deriv_wrt_T,
		MsqError &	err
	)		[inline, virtual]

Gradient of \(\mu(T)\) with respect to components of T.

Parameters:

T	3x3 relative measure matrix (typically A W^-1)
result	Output: value of function
deriv_wrt_T	Output: partial deriviatve of \(\mu\) wrt each term of T, evaluated at passed T. \[\left[\begin{array}{ccc} \frac{\partial\mu}{\partial T_{0,0}} & \frac{\partial\mu}{\partial T_{0,1}} & \frac{\partial\mu}{\partial T_{0,2}} \\ \frac{\partial\mu}{\partial T_{1,0}} & \frac{\partial\mu}{\partial T_{1,1}} & \frac{\partial\mu}{\partial T_{1,2}} \\ \frac{\partial\mu}{\partial T_{2,0}} & \frac{\partial\mu}{\partial T_{2,1}} & \frac{\partial\mu}{\partial T_{2,2}} \end{array}\right]\]

Returns:

false if function cannot be evaluated for given T (e.g. division by zero, etc.), true otherwise.

Reimplemented from MBMesquite::TMetric.

Definition at line 133 of file TMetricTest.cpp.

References MBMesquite::sqr_Frobenius(), and MBMesquite::transpose().

    {
        result = sqr_Frobenius( 2 * T - transpose( T ) );
        wrt_T  = 10 * T - 8 * transpose( T );
        return true;
    }

std::string HessTestMetricRel::get_name

(

)

const [inline, virtual]

Implements MBMesquite::TMetric.

Definition at line 112 of file TMetricTest.cpp.

    {
        return "HessTest";
    }

List of all members.

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The documentation for this class was generated from the following file:

• TMetricTest.cpp