ConformTransformationP1Tetrahedron Class Reference

#include <ConformTransformation.hpp>

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List of all members.

Public Types

typedef
ConformTransformationP1Tetrahedron 		BoundaryConformTransformation

Public Member Functions

void dx (const TinyVector< 3, real_t > &X, TinyVector< 3, real_t > &__result) const
void dx (const real_t &x, const real_t &y, const real_t &z, TinyVector< 3, real_t > &__result) const
void dy (const TinyVector< 3, real_t > &X, TinyVector< 3, real_t > &__result) const
void dy (const real_t &x, const real_t &y, const real_t &z, TinyVector< 3, real_t > &__result) const
void dz (const TinyVector< 3, real_t > &X, TinyVector< 3, real_t > &__result) const
void dz (const real_t &x, const real_t &y, const real_t &z, TinyVector< 3, real_t > &__result) const
void value (const TinyVector< 3, real_t > &X, TinyVector< 3, real_t > &result) const
 computes the value at X (X is inside the reference element).
void value (const real_t &x, const real_t &y, const real_t &z, TinyVector< 3, real_t > &result) const
 computes the value at (x,y,z) ((x,y,z) is inside the reference element).
bool invertT (const TinyVector< 3, real_t > &X, TinyVector< 3, real_t > &Xhat) const
 Computes Xhat, the point which transformed is X.
bool invertT (const real_t &x, const real_t &y, const real_t &z, TinyVector< 3, real_t > &Xhat) const
 Computes Xhat, the point which transformed is (x,y,z).
real_t integrate (const ScalarFunctionBase &f) const
 ConformTransformationP1Tetrahedron (const Tetrahedron &T)

Private Attributes

const Tetrahedron & __T
const TinyVector< 3, real_t > __b
TinyMatrix< 3, 3, real_t > __A
TinyMatrix< 3, 3, real_t > __A_1

Friends

class ConformTransformationP1TetrahedronJacobian

Detailed Description

Definition at line 788 of file ConformTransformation.hpp.

Member Typedef Documentation

typedef ConformTransformationP1Tetrahedron ConformTransformationP1Tetrahedron::BoundaryConformTransformation

Definition at line 792 of file ConformTransformation.hpp.

Constructor & Destructor Documentation

ConformTransformationP1Tetrahedron::ConformTransformationP1Tetrahedron ( const Tetrahedron &  T  )  [inline]

Definition at line 875 of file ConformTransformation.hpp.

References __A, and __A_1.

00876     : __T(T),
00877       __b(T(0))
00878   {
00879     for (size_t j=0; j<3; ++j) {
00880       for (size_t i=0; i<3; ++i) {
00881         __A(i,j) = T(j+1)[i]-T(0)[i];
00882       }
00883     }
00884 
00885     __A_1 = __A.invert();
00886   }

Member Function Documentation

void ConformTransformationP1Tetrahedron::dx ( const TinyVector< 3, real_t > &  X,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 802 of file ConformTransformation.hpp.

00804   {
00805     dx(X[0], X[1], X[2], __result);
00806   }

void ConformTransformationP1Tetrahedron::dx ( const real_t &  x,
const real_t &  y,
const real_t &  z,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 808 of file ConformTransformation.hpp.

References __A.

00810   {
00811     for (size_t i=0; i<3; ++i) __result[i] = __A(i,0);
00812   }

void ConformTransformationP1Tetrahedron::dy ( const TinyVector< 3, real_t > &  X,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 814 of file ConformTransformation.hpp.

00816   {
00817     dy(X[0], X[1], X[2], __result);
00818   }

void ConformTransformationP1Tetrahedron::dy ( const real_t &  x,
const real_t &  y,
const real_t &  z,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 820 of file ConformTransformation.hpp.

References __A.

00822   {
00823     for (size_t i=0; i<3; ++i) __result[i] = __A(i,1);
00824   }

void ConformTransformationP1Tetrahedron::dz ( const TinyVector< 3, real_t > &  X,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 826 of file ConformTransformation.hpp.

00828   {
00829     dz(X[0], X[1], X[2], __result);
00830   }

void ConformTransformationP1Tetrahedron::dz ( const real_t &  x,
const real_t &  y,
const real_t &  z,
TinyVector< 3, real_t > &  __result 
) const [inline]

Definition at line 832 of file ConformTransformation.hpp.

References __A.

00834   {
00835     for (size_t i=0; i<3; ++i) __result[i] = __A(i,2);
00836   }

void ConformTransformationP1Tetrahedron::value ( const TinyVector< 3, real_t > &  X,
TinyVector< 3, real_t > &  result 
) const [inline]

computes the value at X (X is inside the reference element).

Definition at line 839 of file ConformTransformation.hpp.

References __A, and __b.

Referenced by MeshOfTetrahedra::buildLocalizationTools(), and value().

00841   {
00842     result = __A*X;
00843     result += __b;
00844   }

void ConformTransformationP1Tetrahedron::value ( const real_t &  x,
const real_t &  y,
const real_t &  z,
TinyVector< 3, real_t > &  result 
) const [inline]

computes the value at (x,y,z) ((x,y,z) is inside the reference element).

Definition at line 847 of file ConformTransformation.hpp.

References value().

00849   {
00850     TinyVector<3,real_t> X(x,y,z);
00851     value(X, result);
00852   }

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bool ConformTransformationP1Tetrahedron::invertT ( const TinyVector< 3, real_t > &  X,
TinyVector< 3, real_t > &  Xhat 
) const [inline]

Computes Xhat, the point which transformed is X.

Definition at line 855 of file ConformTransformation.hpp.

References __A_1, and __b.

Referenced by invertT().

00857   {
00858     Xhat = __A_1*(X-__b);
00859     return true;
00860   }

bool ConformTransformationP1Tetrahedron::invertT ( const real_t &  x,
const real_t &  y,
const real_t &  z,
TinyVector< 3, real_t > &  Xhat 
) const [inline]

Computes Xhat, the point which transformed is (x,y,z).

Definition at line 863 of file ConformTransformation.hpp.

References invertT().

00865   {
00866     TinyVector<3,real_t> X(x,y,z);
00867     return invertT(X, Xhat);
00868   }

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real_t ConformTransformationP1Tetrahedron::integrate ( const ScalarFunctionBase &  f  )  const

Computes the integrale of the function f on an element using the reference element

Definition at line 129 of file ConformTransformation.cpp.

References ErrorHandler::unexpected.

00130 {
00131   throw ErrorHandler(__FILE__,__LINE__,
00132                      "not implemented",
00133                      ErrorHandler::unexpected);
00134   return 0;
00135 }

Friends And Related Function Documentation

friend class ConformTransformationP1TetrahedronJacobian [friend]

Definition at line 791 of file ConformTransformation.hpp.

Member Data Documentation

const Tetrahedron& ConformTransformationP1Tetrahedron::__T [private]

Definition at line 795 of file ConformTransformation.hpp.

const TinyVector<3, real_t> ConformTransformationP1Tetrahedron::__b [private]

Definition at line 797 of file ConformTransformation.hpp.

Referenced by invertT(), and value().

TinyMatrix<3,3, real_t> ConformTransformationP1Tetrahedron::__A [private]

Definition at line 798 of file ConformTransformation.hpp.

Referenced by ConformTransformationP1Tetrahedron(), ConformTransformationP1TetrahedronJacobian::ConformTransformationP1TetrahedronJacobian(), dx(), dy(), dz(), and value().

TinyMatrix<3,3, real_t> ConformTransformationP1Tetrahedron::__A_1 [private]

Definition at line 799 of file ConformTransformation.hpp.

Referenced by ConformTransformationP1Tetrahedron(), and invertT().

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