MOAB: Mesh Oriented datABase
(version 5.4.1)
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#include <AWSizeB1.hpp>
Public Member Functions | |
virtual MESQUITE_EXPORT | ~AWSizeB1 () |
virtual MESQUITE_EXPORT std::string | get_name () const |
virtual MESQUITE_EXPORT bool | evaluate (const MsqMatrix< 2, 2 > &A, const MsqMatrix< 2, 2 > &W, double &result, MsqError &err) |
Evaluate \(\mu(A,W)\). | |
virtual MESQUITE_EXPORT bool | evaluate_with_grad (const MsqMatrix< 2, 2 > &A, const MsqMatrix< 2, 2 > &W, double &result, MsqMatrix< 2, 2 > &deriv_wrt_A, MsqError &err) |
Gradient of \(\mu(A,W)\) with respect to components of A. | |
virtual MESQUITE_EXPORT bool | evaluate (const MsqMatrix< 3, 3 > &A, const MsqMatrix< 3, 3 > &W, double &result, MsqError &err) |
Evaluate \(\mu(A,W)\). | |
virtual MESQUITE_EXPORT bool | evaluate_with_grad (const MsqMatrix< 3, 3 > &A, const MsqMatrix< 3, 3 > &W, double &result, MsqMatrix< 3, 3 > &deriv_wrt_A, MsqError &err) |
Gradient of \(\mu(A,W)\) with respect to components of A. |
\( \frac{\alpha}{\omega} - \frac{\omega}{\alpha} - 2 \)
Definition at line 43 of file AWSizeB1.hpp.
MBMesquite::AWSizeB1::~AWSizeB1 | ( | ) | [virtual] |
Definition at line 47 of file AWSizeB1.cpp.
{}
bool MBMesquite::AWSizeB1::evaluate | ( | const MsqMatrix< 2, 2 > & | A, |
const MsqMatrix< 2, 2 > & | W, | ||
double & | result, | ||
MsqError & | err | ||
) | [virtual] |
Evaluate \(\mu(A,W)\).
A | 2x2 active matrix |
W | 2x2 target matrix |
result | Output: value of function |
Reimplemented from MBMesquite::AWMetric.
Definition at line 49 of file AWSizeB1.cpp.
References MBMesquite::MsqError::BARRIER_VIOLATED, MBMesquite::barrier_violated_msg_aw, MBMesquite::det(), MBMesquite::AWMetric::invalid_determinant(), and MSQ_SETERR.
{ const double alpha = det( A ); const double omega = det( W ); const double prod = alpha * omega; if( AWMetric::invalid_determinant( prod ) ) { MSQ_SETERR( err )( barrier_violated_msg_aw, MsqError::BARRIER_VIOLATED ); return false; } result = ( alpha - omega ); result *= result; result /= prod; return true; }
bool MBMesquite::AWSizeB1::evaluate | ( | const MsqMatrix< 3, 3 > & | A, |
const MsqMatrix< 3, 3 > & | W, | ||
double & | result, | ||
MsqError & | err | ||
) | [virtual] |
Evaluate \(\mu(A,W)\).
A | 3x3 active matrix |
W | 3x3 target matrix |
result | Output: value of function |
Reimplemented from MBMesquite::AWMetric.
Definition at line 89 of file AWSizeB1.cpp.
References MBMesquite::MsqError::BARRIER_VIOLATED, MBMesquite::barrier_violated_msg_aw, MBMesquite::det(), MBMesquite::AWMetric::invalid_determinant(), and MSQ_SETERR.
{ const double alpha = det( A ); const double omega = det( W ); const double prod = alpha * omega; if( AWMetric::invalid_determinant( prod ) ) { MSQ_SETERR( err )( barrier_violated_msg_aw, MsqError::BARRIER_VIOLATED ); return false; }; result = ( alpha - omega ); result *= result; result /= prod; return true; }
bool MBMesquite::AWSizeB1::evaluate_with_grad | ( | const MsqMatrix< 2, 2 > & | A, |
const MsqMatrix< 2, 2 > & | W, | ||
double & | result, | ||
MsqMatrix< 2, 2 > & | deriv_wrt_A, | ||
MsqError & | err | ||
) | [virtual] |
Gradient of \(\mu(A,W)\) with respect to components of A.
A | 2x2 active matrix |
W | 2x2 target matrix |
result | Output: value of function |
deriv_wrt_A | Output: partial deriviatve of \(\mu\) wrt each term of A, evaluated at passed A. \[\left[\begin{array}{cc} \frac{\partial\mu}{\partial A_{0,0}} & \frac{\partial\mu}{\partial A_{0,1}} \\ \frac{\partial\mu}{\partial A_{1,0}} & \frac{\partial\mu}{\partial A_{1,1}} \\ \end{array}\right]\] |
Reimplemented from MBMesquite::AWMetric.
Definition at line 66 of file AWSizeB1.cpp.
References MBMesquite::MsqError::BARRIER_VIOLATED, MBMesquite::barrier_violated_msg_aw, MBMesquite::det(), MBMesquite::AWMetric::invalid_determinant(), MSQ_SETERR, and MBMesquite::transpose_adj().
{ const double alpha = det( A ); const double omega = det( W ); const double prod = alpha * omega; if( AWMetric::invalid_determinant( prod ) ) { MSQ_SETERR( err )( barrier_violated_msg_aw, MsqError::BARRIER_VIOLATED ); return false; } result = ( alpha - omega ); result *= result; result /= prod; deriv_wrt_A = transpose_adj( A ); deriv_wrt_A *= ( alpha * alpha - omega * omega ) / ( alpha * prod ); return true; }
bool MBMesquite::AWSizeB1::evaluate_with_grad | ( | const MsqMatrix< 3, 3 > & | A, |
const MsqMatrix< 3, 3 > & | W, | ||
double & | result, | ||
MsqMatrix< 3, 3 > & | deriv_wrt_A, | ||
MsqError & | err | ||
) | [virtual] |
Gradient of \(\mu(A,W)\) with respect to components of A.
A | 3x3 active matrix |
W | 3x3 target matrix |
result | Output: value of function |
deriv_wrt_A | Output: partial deriviatve of \(\mu\) wrt each term of A, evaluated at passed A. \[\left[\begin{array}{ccc} \frac{\partial\mu}{\partial A_{0,0}} & \frac{\partial\mu}{\partial A_{0,1}} & \frac{\partial\mu}{\partial A_{0,2}} \\ \frac{\partial\mu}{\partial A_{1,0}} & \frac{\partial\mu}{\partial A_{1,1}} & \frac{\partial\mu}{\partial A_{1,2}} \\ \frac{\partial\mu}{\partial A_{2,0}} & \frac{\partial\mu}{\partial A_{2,1}} & \frac{\partial\mu}{\partial A_{2,2}} \end{array}\right]\] |
Reimplemented from MBMesquite::AWMetric.
Definition at line 106 of file AWSizeB1.cpp.
References MBMesquite::MsqError::BARRIER_VIOLATED, MBMesquite::barrier_violated_msg_aw, MBMesquite::det(), MBMesquite::AWMetric::invalid_determinant(), MSQ_SETERR, and MBMesquite::transpose_adj().
{ const double alpha = det( A ); const double omega = det( W ); const double prod = alpha * omega; if( AWMetric::invalid_determinant( prod ) ) { MSQ_SETERR( err )( barrier_violated_msg_aw, MsqError::BARRIER_VIOLATED ); return false; } result = ( alpha - omega ); result *= result; result /= prod; deriv_wrt_A = transpose_adj( A ); deriv_wrt_A *= ( alpha * alpha - omega * omega ) / ( alpha * prod ); return true; }
std::string MBMesquite::AWSizeB1::get_name | ( | ) | const [virtual] |
Reimplemented from MBMesquite::AWMetricBarrier.
Definition at line 42 of file AWSizeB1.cpp.
{ return "AWSizeB1"; }