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Purpose:
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Defines a 3 X 3 tensor.
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Derivation:
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tensor : ACIS_OBJECT : -
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Filename:
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kern/kernel/kernutil/tensor/tensor.hxx
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Description:
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This class defines a 3 X 3 general tensor. Examples of tensors include the inertia tensor of mass-property calculations, and the second-order gradient of an implicit function of the three spatial variables
x,
y, and
z.
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Constructor:
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public: tensor::tensor
();
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C++ allocation constructor requests memory for this object but does not populate it.
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public: tensor::tensor
(
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symtensor const&
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// symmetric tensor
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);
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C++ initialize constructor requests memory for this object and populates it with the data supplied as arguments.
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Methods:
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public: void tensor::debug
(
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char const*,
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// leader
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FILE*
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// file name
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= debug_file_ptr
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) const;
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Prints a tensor in three rows with a given leader string on each row bar first.
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public: double tensor::element
(
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int row,
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// row
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int col
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// column
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) const;
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Extracts an element (i,j), where row and column,
i and
j, range from 0 to 2.
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public: tensor const& tensor::operator*=
(
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double
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// double value
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);
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Multiplies a tensor by a double.
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public: tensor const& tensor::operator*=
(
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SPAmatrix const&
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// matrix
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);
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Transforms a tensor by a 3 X 3 (orthogonal) matrix. This method pre-multiplies tensor by the matrix, and then post-multiplies the result by the transpose of the matrix.
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public: tensor const& tensor::operator*=
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SPAtransf const&
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// transformation
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);
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Transforms a tensor by a 3 X 3 transformation. This method performs the matrix multiplication for the rotation part, then it multiplies by the scaling factor twice. Any translation part is ignored. This method treats the tensor like a vector (as opposed to a position or unit vector).
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public: tensor const& tensor::operator+=
(
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tensor const&
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// tensor
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);
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Performs the unary plus operation.
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public: tensor const& tensor::operator-=
(
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tensor const&
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// tensor
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);
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Performs the unary minus operation.
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public: void tensor::set_element
(
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int,
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// ith value
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int,
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// jth value
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double
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// value to be set
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);
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Sets an element (i,j), where
i and
j range from 0 to 2.
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public: void tensor::zero
();
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Zeroes all elements of the tensor.
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Related Fncs:
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outer, sym_outer
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friend: tensor operator* (
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double,
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// double value
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tensor const&
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// tensor
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);
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Multiplies a tensor by a double.
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friend: tensor operator* (
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tensor const&,
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// tensor
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double
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// double value
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);
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Multiplies a tensor by a double.
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friend: tensor operator* (
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tensor const&,
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// tensor
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SPAmatrix const&
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// matrix
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);
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Transforms a tensor by a 3 x 3 (orthogonal) matrix. This method pre-multiplies the tensor by the matrix, then it post-multiplies the result by the transpose of the matrix.
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friend: tensor operator* (
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tensor const&,
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// tensor
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SPAtransf const&
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// transformation
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);
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Transforms a tensor by a general transformation. This method does a matrix multiplication for the rotation part, and then multiplies it by the scaling factor twice any translation part is ignored. This treats the tensor on a par with a vector (as opposed to a position or unit vector).
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friend: tensor operator+ (
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tensor const&,
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// tensor
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tensor const&
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// tensor
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);
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Performs a binary plus operation.
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friend: tensor operator- (
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tensor const&
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// tensor
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);
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Performs a unary minus operation.
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friend: tensor operator- (
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tensor const&,
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// first tensor
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tensor const&
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// second tensor
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);
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Performs a binary minus operation.
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