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Eigen
3.2.0
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Expression of a mathematical vector or matrix as an array object.
This class is the return type of MatrixBase::array(), and most of the time this is the only way it is use.
Public Types | |
typedef internal::traits < ArrayWrapper< ExpressionType > >::Index | Index |
The type of indices. |
Public Member Functions | |
const CwiseUnaryOp < internal::scalar_abs_op < Scalar >, const ArrayWrapper < ExpressionType > > | abs () const |
const CwiseUnaryOp < internal::scalar_abs2_op < Scalar >, const ArrayWrapper < ExpressionType > > | abs2 () const |
const CwiseUnaryOp < internal::scalar_acos_op < Scalar >, const ArrayWrapper < ExpressionType > > | acos () const |
const CwiseUnaryOp < internal::scalar_asin_op < Scalar >, const ArrayWrapper < ExpressionType > > | asin () const |
const CwiseBinaryOp < CustomBinaryOp, const ArrayWrapper< ExpressionType > , const OtherDerived > | binaryExpr (const Eigen::ArrayBase< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const |
Block< ArrayWrapper < ExpressionType > > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) |
const Block< const ArrayWrapper< ExpressionType > > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) const |
Block< ArrayWrapper < ExpressionType >, BlockRows, BlockCols > | block (Index startRow, Index startCol) |
const Block< const ArrayWrapper< ExpressionType > , BlockRows, BlockCols > | block (Index startRow, Index startCol) const |
Block< ArrayWrapper < ExpressionType >, BlockRows, BlockCols > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) |
const Block< const ArrayWrapper< ExpressionType > , BlockRows, BlockCols > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) const |
Block< ArrayWrapper < ExpressionType > > | bottomLeftCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > > | bottomLeftCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | bottomLeftCorner () |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | bottomLeftCorner () const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | bottomLeftCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | bottomLeftCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType > > | bottomRightCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > > | bottomRightCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | bottomRightCorner () |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | bottomRightCorner () const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | bottomRightCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | bottomRightCorner (Index cRows, Index cCols) const |
RowsBlockXpr | bottomRows (Index n) |
ConstRowsBlockXpr | bottomRows (Index n) const |
NRowsBlockXpr< N >::Type | bottomRows () |
ConstNRowsBlockXpr< N >::Type | bottomRows () const |
internal::cast_return_type < ArrayWrapper< ExpressionType > , const CwiseUnaryOp < internal::scalar_cast_op < typename internal::traits < ArrayWrapper< ExpressionType > >::Scalar, NewType >, const ArrayWrapper< ExpressionType > > >::type | cast () const |
ColXpr | col (Index i) |
ConstColXpr | col (Index i) const |
ConjugateReturnType | conjugate () const |
const CwiseUnaryOp < internal::scalar_cos_op < Scalar >, const ArrayWrapper < ExpressionType > > | cos () const |
const CwiseUnaryOp < internal::scalar_cube_op < Scalar >, const ArrayWrapper < ExpressionType > > | cube () const |
const CwiseUnaryOp < internal::scalar_abs_op < Scalar >, const ArrayWrapper < ExpressionType > > | cwiseAbs () const |
const CwiseUnaryOp < internal::scalar_abs2_op < Scalar >, const ArrayWrapper < ExpressionType > > | cwiseAbs2 () const |
const CwiseBinaryOp < std::equal_to< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseEqual (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < std::binder1st < std::equal_to< Scalar > >, const ArrayWrapper < ExpressionType > > | cwiseEqual (const Scalar &s) const |
const CwiseUnaryOp < internal::scalar_inverse_op < Scalar >, const ArrayWrapper < ExpressionType > > | cwiseInverse () const |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseMax (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const ArrayWrapper < ExpressionType >, const ConstantReturnType > | cwiseMax (const Scalar &other) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseMin (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const ArrayWrapper < ExpressionType >, const ConstantReturnType > | cwiseMin (const Scalar &other) const |
const CwiseBinaryOp < std::not_equal_to< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseNotEqual (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_product_op < typename ArrayWrapper < ExpressionType >::Scalar, typename OtherDerived::Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseProduct (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_quotient_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | cwiseQuotient (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_sqrt_op < Scalar >, const ArrayWrapper < ExpressionType > > | cwiseSqrt () const |
EvalReturnType | eval () const |
const CwiseUnaryOp < internal::scalar_exp_op < Scalar >, const ArrayWrapper < ExpressionType > > | exp () const |
SegmentReturnType | head (Index vecSize) |
ConstSegmentReturnType | head (Index vecSize) const |
FixedSegmentReturnType< Size > ::Type | head () |
ConstFixedSegmentReturnType < Size >::Type | head () const |
const ImagReturnType | imag () const |
NonConstImagReturnType | imag () |
Index | innerSize () const |
const CwiseUnaryOp < internal::scalar_inverse_op < Scalar >, const ArrayWrapper < ExpressionType > > | inverse () const |
ColsBlockXpr | leftCols (Index n) |
ConstColsBlockXpr | leftCols (Index n) const |
NColsBlockXpr< N >::Type | leftCols () |
ConstNColsBlockXpr< N >::Type | leftCols () const |
const CwiseUnaryOp < internal::scalar_log_op < Scalar >, const ArrayWrapper < ExpressionType > > | log () const |
MatrixWrapper< ArrayWrapper < ExpressionType > > | matrix () |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | max (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const ArrayWrapper < ExpressionType >, const CwiseNullaryOp < internal::scalar_constant_op < Scalar >, PlainObject > > | max (const Scalar &other) const |
ColsBlockXpr | middleCols (Index startCol, Index numCols) |
ConstColsBlockXpr | middleCols (Index startCol, Index numCols) const |
NColsBlockXpr< N >::Type | middleCols (Index startCol) |
ConstNColsBlockXpr< N >::Type | middleCols (Index startCol) const |
RowsBlockXpr | middleRows (Index startRow, Index numRows) |
ConstRowsBlockXpr | middleRows (Index startRow, Index numRows) const |
NRowsBlockXpr< N >::Type | middleRows (Index startRow) |
ConstNRowsBlockXpr< N >::Type | middleRows (Index startRow) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | min (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const ArrayWrapper < ExpressionType >, const CwiseNullaryOp < internal::scalar_constant_op < Scalar >, PlainObject > > | min (const Scalar &other) const |
Index | nonZeros () const |
const CwiseBinaryOp < std::not_equal_to< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator!= (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_boolean_and_op, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator&& (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_product_op < typename ArrayWrapper < ExpressionType >::Scalar, typename OtherDerived::Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator* (const Eigen::ArrayBase< OtherDerived > &other) const |
const ScalarMultipleReturnType | operator* (const Scalar &scalar) const |
const CwiseUnaryOp < internal::scalar_multiple2_op < Scalar, std::complex< Scalar > >, const ArrayWrapper < ExpressionType > > | operator* (const std::complex< Scalar > &scalar) const |
const CwiseBinaryOp < internal::scalar_sum_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator+ (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_add_op < Scalar >, const ArrayWrapper < ExpressionType > > | operator+ (const Scalar &scalar) const |
const CwiseBinaryOp < internal::scalar_difference_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator- (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_opposite_op < typename internal::traits < ArrayWrapper< ExpressionType > >::Scalar >, const ArrayWrapper< ExpressionType > > | operator- () const |
const CwiseUnaryOp < internal::scalar_add_op < Scalar >, const ArrayWrapper < ExpressionType > > | operator- (const Scalar &scalar) const |
const CwiseBinaryOp < internal::scalar_quotient_op < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator/ (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_quotient1_op < typename internal::traits < ArrayWrapper< ExpressionType > >::Scalar >, const ArrayWrapper< ExpressionType > > | operator/ (const Scalar &scalar) const |
const CwiseBinaryOp< std::less < Scalar >, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator< (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < std::less_equal< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator<= (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < std::equal_to< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator== (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < std::greater< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator> (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < std::greater_equal< Scalar > , const ArrayWrapper < ExpressionType >, const OtherDerived > | operator>= (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_boolean_or_op, const ArrayWrapper < ExpressionType >, const OtherDerived > | operator|| (const Eigen::ArrayBase< OtherDerived > &other) const |
Index | outerSize () const |
const CwiseUnaryOp < internal::scalar_pow_op < Scalar >, const ArrayWrapper < ExpressionType > > | pow (const Scalar &exponent) const |
RealReturnType | real () const |
NonConstRealReturnType | real () |
void | resize (Index newSize) |
void | resize (Index nbRows, Index nbCols) |
ColsBlockXpr | rightCols (Index n) |
ConstColsBlockXpr | rightCols (Index n) const |
NColsBlockXpr< N >::Type | rightCols () |
ConstNColsBlockXpr< N >::Type | rightCols () const |
RowXpr | row (Index i) |
ConstRowXpr | row (Index i) const |
SegmentReturnType | segment (Index start, Index vecSize) |
ConstSegmentReturnType | segment (Index start, Index vecSize) const |
FixedSegmentReturnType< Size > ::Type | segment (Index start) |
ConstFixedSegmentReturnType < Size >::Type | segment (Index start) const |
const CwiseUnaryOp < internal::scalar_sin_op < Scalar >, const ArrayWrapper < ExpressionType > > | sin () const |
const CwiseUnaryOp < internal::scalar_sqrt_op < Scalar >, const ArrayWrapper < ExpressionType > > | sqrt () const |
const CwiseUnaryOp < internal::scalar_square_op < Scalar >, const ArrayWrapper < ExpressionType > > | square () const |
void | swap (const DenseBase< OtherDerived > &other, int=OtherDerived::ThisConstantIsPrivateInPlainObjectBase) |
void | swap (PlainObjectBase< OtherDerived > &other) |
SegmentReturnType | tail (Index vecSize) |
ConstSegmentReturnType | tail (Index vecSize) const |
FixedSegmentReturnType< Size > ::Type | tail () |
ConstFixedSegmentReturnType < Size >::Type | tail () const |
const CwiseUnaryOp < internal::scalar_tan_op < Scalar >, ArrayWrapper < ExpressionType > > | tan () const |
Block< ArrayWrapper < ExpressionType > > | topLeftCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > > | topLeftCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | topLeftCorner () |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | topLeftCorner () const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | topLeftCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | topLeftCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType > > | topRightCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > > | topRightCorner (Index cRows, Index cCols) const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | topRightCorner () |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | topRightCorner () const |
Block< ArrayWrapper < ExpressionType >, CRows, CCols > | topRightCorner (Index cRows, Index cCols) |
const Block< const ArrayWrapper< ExpressionType > , CRows, CCols > | topRightCorner (Index cRows, Index cCols) const |
RowsBlockXpr | topRows (Index n) |
ConstRowsBlockXpr | topRows (Index n) const |
NRowsBlockXpr< N >::Type | topRows () |
ConstNRowsBlockXpr< N >::Type | topRows () const |
const CwiseUnaryOp < CustomUnaryOp, const ArrayWrapper< ExpressionType > > | unaryExpr (const CustomUnaryOp &func=CustomUnaryOp()) const |
Apply a unary operator coefficient-wise. | |
const CwiseUnaryView < CustomViewOp, const ArrayWrapper< ExpressionType > > | unaryViewExpr (const CustomViewOp &func=CustomViewOp()) const |
CoeffReturnType | value () const |
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inherited |
The type of indices.
To change this, #define
the preprocessor symbol EIGEN_DEFAULT_DENSE_INDEX_TYPE
.
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inlineinherited |
*this
Example:
Output:
1 2 3
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inlineinherited |
*this
Example:
Output:
1 4 9
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inlineinherited |
Example:
Output:
1.57 0.785 0
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inlineinherited |
Example:
Output:
0 0.785 1.57
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inlineinherited |
The template parameter CustomBinaryOp is the type of the functor of the custom operator (see class CwiseBinaryOp for an example)
Here is an example illustrating the use of custom functors:
Output:
(0.68,0.271) (0.823,-0.967) (-0.444,-0.687) (-0.27,0.998) (-0.211,0.435) (-0.605,-0.514) (0.108,-0.198) (0.0268,-0.563) (0.566,-0.717) (-0.33,-0.726) (-0.0452,-0.74) (0.904,0.0259) (0.597,0.214) (0.536,0.608) (0.258,-0.782) (0.832,0.678)
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inlineinherited |
startRow | the first row in the block |
startCol | the first column in the block |
blockRows | the number of rows in the block |
blockCols | the number of columns in the block |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.block(1, 1, 2, 2): -6 1 -3 0 Now the matrix m is: 7 9 -5 -3 -2 0 0 0 6 0 0 9 6 6 3 9
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inlineinherited |
This is the const version of block(Index,Index,Index,Index).
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inlineinherited |
The template parameters BlockRows and BlockCols are the number of rows and columns in the block.
startRow | the first row in the block |
startCol | the first column in the block |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.block<2,2>(1,1): -6 1 -3 0 Now the matrix m is: 7 9 -5 -3 -2 0 0 0 6 0 0 9 6 6 3 9
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inlineinherited |
This is the const version of block<>(Index, Index).
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inlineinherited |
BlockRows | number of rows in block as specified at compile time |
BlockCols | number of columns in block as specified at compile time |
startRow | the first row in the block |
startCol | the first column in the block |
blockRows | number of rows in block as specified at run time |
blockCols | number of columns in block as specified at run time |
This function is mainly useful for blocks where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, blockRows should equal BlockRows unless BlockRows is Dynamic, and the same for the number of columns.
Example:
Output:
Matrix4i m = Matrix4i::Random(); cout << "Here is the matrix m:" << endl << m << endl; cout << "Here is the block:" << endl << m.block<2, Dynamic>(1, 1, 2, 3) << endl; m.block<2, Dynamic>(1, 1, 2, 3).setZero(); cout << "Now the matrix m is:" << endl << m << endl;
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inlineinherited |
This is the const version of block<>(Index, Index, Index, Index).
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inlineinherited |
cRows | the number of rows in the corner |
cCols | the number of columns in the corner |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomLeftCorner(2, 2): 6 -3 6 6 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 0 0 0 9 0 0 3 9
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inlineinherited |
This is the const version of bottomLeftCorner(Index, Index).
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inlineinherited |
The template parameters CRows and CCols are the number of rows and columns in the corner.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomLeftCorner<2,2>(): 6 -3 6 6 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 0 0 0 9 0 0 3 9
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inlineinherited |
This is the const version of bottomLeftCorner<int, int>().
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inlineinherited |
CRows | number of rows in corner as specified at compile time |
CCols | number of columns in corner as specified at compile time |
cRows | number of rows in corner as specified at run time |
cCols | number of columns in corner as specified at run time |
This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, cRows should equal CRows unless CRows is Dynamic, and the same for the number of columns.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomLeftCorner<2,Dynamic>(2,2): 6 -3 6 6 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 0 0 0 9 0 0 3 9
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inlineinherited |
This is the const version of bottomLeftCorner<int, int>(Index, Index).
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inlineinherited |
cRows | the number of rows in the corner |
cCols | the number of columns in the corner |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomRightCorner(2, 2): 0 9 3 9 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 6 -3 0 0 6 6 0 0
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inlineinherited |
This is the const version of bottomRightCorner(Index, Index).
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inlineinherited |
The template parameters CRows and CCols are the number of rows and columns in the corner.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomRightCorner<2,2>(): 0 9 3 9 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 6 -3 0 0 6 6 0 0
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inlineinherited |
This is the const version of bottomRightCorner<int, int>().
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inlineinherited |
CRows | number of rows in corner as specified at compile time |
CCols | number of columns in corner as specified at compile time |
cRows | number of rows in corner as specified at run time |
cCols | number of columns in corner as specified at run time |
This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, cRows should equal CRows unless CRows is Dynamic, and the same for the number of columns.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.bottomRightCorner<2,Dynamic>(2,2): 0 9 3 9 Now the matrix m is: 7 9 -5 -3 -2 -6 1 0 6 -3 0 0 6 6 0 0
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inlineinherited |
This is the const version of bottomRightCorner<int, int>(Index, Index).
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inlineinherited |
n | the number of rows in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.bottomRows(2): 6 -3 0 9 6 6 3 9 Now the array a is: 7 9 -5 -3 -2 -6 1 0 0 0 0 0 0 0 0 0
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inlineinherited |
This is the const version of bottomRows(Index).
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inlineinherited |
N | the number of rows in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.bottomRows<2>(): 6 -3 0 9 6 6 3 9 Now the array a is: 7 9 -5 -3 -2 -6 1 0 0 0 0 0 0 0 0 0
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inlineinherited |
This is the const version of bottomRows<int>().
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inlineinherited |
The template parameter NewScalar is the type we are casting the scalars to.
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inlineinherited |
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inlineinherited |
This is the const version of col().
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inlineinherited |
*this
.
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inlineinherited |
Example:
Output:
-1 6.12e-17 0.5
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inlineinherited |
Example:
Output:
8 27 64
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inlineinherited |
*this
Example:
Output:
2 4 6 5 1 0
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inlineinherited |
*this
Example:
Output:
4 16 36 25 1 0
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inlineinherited |
Example:
Output:
Comparing m with identity matrix: 1 1 0 1 Number of coefficients that are equal: 3
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inlineinherited |
*this
and a scalar s
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inlineinherited |
Example:
Output:
0.5 2 1 0.333 4 1
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inlineinherited |
Example:
Output:
4 3 4
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inlineinherited |
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inlineinherited |
Example:
Output:
2 2 3
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inlineinherited |
|
inlineinherited |
Example:
Output:
Comparing m with identity matrix: 0 0 1 0 Number of coefficients that are not equal: 1
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inlineinherited |
Example:
Output:
a: 7 6 -3 -2 9 6 6 -6 -5 b: 1 -3 9 0 0 3 3 9 5 c: 7 -18 -27 0 0 18 18 -54 -25
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inlineinherited |
Example:
Output:
0.5 1.5 1.33
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inlineinherited |
Example:
Output:
1 1.41 2
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inlineinherited |
Notice that in the case of a plain matrix or vector (not an expression) this function just returns a const reference, in order to avoid a useless copy.
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inlineinherited |
Example:
Output:
2.72 7.39 20.1
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inlineinherited |
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
vecSize | the number of coefficients in the block |
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.head(2): 7 -2 Now the vector v is: 0 0 6 6
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inlineinherited |
This is the const version of head(Index).
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inlineinherited |
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
The template parameter Size is the number of coefficients in the block
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.head(2): 7 -2 Now the vector v is: 0 0 6 6
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inlineinherited |
This is the const version of head<int>().
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inlineinherited |
*this
.
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inlineinherited |
*this
.
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inlineinherited |
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inlineinherited |
Example:
Output:
0.5 0.333 0.25
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inlineinherited |
n | the number of columns in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.leftCols(2): 7 9 -2 -6 6 -3 6 6 Now the array a is: 0 0 -5 -3 0 0 1 0 0 0 0 9 0 0 3 9
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inlineinherited |
This is the const version of leftCols(Index).
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inlineinherited |
N | the number of columns in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.leftCols<2>(): 7 9 -2 -6 6 -3 6 6 Now the array a is: 0 0 -5 -3 0 0 1 0 0 0 0 9 0 0 3 9
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inlineinherited |
This is the const version of leftCols<int>().
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inlineinherited |
Example:
Output:
0 0.693 1.1
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inlineinherited |
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inherited |
*this
and other Example:
Output:
4 3 4
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inlineinherited |
*this
and scalar other startCol | the index of the first column in the block |
numCols | the number of columns in the block |
Example:
Output:
A = 7 -6 0 9 -10 -2 -3 3 3 -5 6 6 -3 5 -8 6 -5 0 -8 6 9 1 9 2 -7 A(1..3,:) = -6 0 9 -3 3 3 6 -3 5 -5 0 -8 1 9 2
This is the const version of middleCols(Index,Index).
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inlineinherited |
N | the number of columns in the block |
startCol | the index of the first column in the block |
Example:
Output:
A = 7 -6 0 9 -10 -2 -3 3 3 -5 6 6 -3 5 -8 6 -5 0 -8 6 9 1 9 2 -7 A(:,1..3) = -6 0 9 -3 3 3 6 -3 5 -5 0 -8 1 9 2
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inlineinherited |
This is the const version of middleCols<int>().
startRow | the index of the first row in the block |
numRows | the number of rows in the block |
Example:
Output:
A = 7 -6 0 9 -10 -2 -3 3 3 -5 6 6 -3 5 -8 6 -5 0 -8 6 9 1 9 2 -7 A(2..3,:) = 6 6 -3 5 -8 6 -5 0 -8 6
This is the const version of middleRows(Index,Index).
|
inlineinherited |
N | the number of rows in the block |
startRow | the index of the first row in the block |
Example:
Output:
A = 7 -6 0 9 -10 -2 -3 3 3 -5 6 6 -3 5 -8 6 -5 0 -8 6 9 1 9 2 -7 A(1..3,:) = -2 -3 3 3 -5 6 6 -3 5 -8 6 -5 0 -8 6
|
inlineinherited |
This is the const version of middleRows<int>().
|
inherited |
*this
and other Example:
Output:
2 2 3
|
inlineinherited |
*this
and scalar other
|
inlineinherited |
|
inherited |
Example:
Output:
1 0 1
|
inlineinherited |
Example:
Output:
0 0 0
|
inlineinherited |
*this
and other
|
inlineinherited |
*this
scaled by the scalar factor scalar
|
inlineinherited |
Overloaded for efficient real matrix times complex scalar value
|
inherited |
*this
and other
|
inlineinherited |
*this
with each coeff incremented by the constant scalar Example:
Output:
6 7 8
|
inherited |
*this
and other
|
inlineinherited |
*this
|
inlineinherited |
*this
with each coeff decremented by the constant scalar Example:
Output:
-4 -3 -2
|
inlineinherited |
*this
and other
|
inlineinherited |
*this
divided by the scalar value scalar
|
inherited |
Example:
Output:
1 0 0
|
inherited |
Example:
Output:
1 1 0
|
inherited |
Example:
Output:
0 1 0
|
inherited |
Example:
Output:
0 0 1
|
inherited |
Example:
Output:
0 1 1
|
inlineinherited |
Example:
Output:
1 0 1
|
inlineinherited |
|
inlineinherited |
Example:
Output:
2 3 4
|
inlineinherited |
*this
.
|
inlineinherited |
*this
.
|
inline |
Forwards the resizing request to the nested expression
Reimplemented from DenseBase< ArrayWrapper< ExpressionType > >.
Forwards the resizing request to the nested expression
Reimplemented from DenseBase< ArrayWrapper< ExpressionType > >.
|
inlineinherited |
n | the number of columns in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.rightCols(2): -5 -3 1 0 0 9 3 9 Now the array a is: 7 9 0 0 -2 -6 0 0 6 -3 0 0 6 6 0 0
|
inlineinherited |
This is the const version of rightCols(Index).
|
inlineinherited |
N | the number of columns in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.rightCols<2>(): -5 -3 1 0 0 9 3 9 Now the array a is: 7 9 0 0 -2 -6 0 0 6 -3 0 0 6 6 0 0
|
inlineinherited |
This is the const version of rightCols<int>().
|
inlineinherited |
|
inlineinherited |
This is the const version of row().
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
start | the first coefficient in the segment |
vecSize | the number of coefficients in the segment |
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.segment(1, 2): -2 6 Now the vector v is: 7 0 0 6
This is the const version of segment(Index,Index).
|
inlineinherited |
*this
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
The template parameter Size is the number of coefficients in the block
start | the index of the first element of the sub-vector |
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.segment<2>(1): -2 6 Now the vector v is: 7 -2 0 0
|
inlineinherited |
This is the const version of segment<int>(Index).
|
inlineinherited |
Example:
Output:
1.22e-16 1 0.866
|
inlineinherited |
Example:
Output:
1 1.41 2
|
inlineinherited |
Example:
Output:
4 9 16
|
inlineinherited |
swaps *this with the expression other.
|
inlineinherited |
swaps *this with the matrix or array other.
|
inlineinherited |
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
vecSize | the number of coefficients in the block |
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.tail(2): 6 6 Now the vector v is: 7 -2 0 0
|
inlineinherited |
This is the const version of tail(Index).
|
inlineinherited |
This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
The template parameter Size is the number of coefficients in the block
Example:
Output:
Here is the vector v: 7 -2 6 6 Here is v.tail(2): 6 6 Now the vector v is: 7 -2 0 0
|
inlineinherited |
This is the const version of tail<int>.
|
inlineinherited |
Example:
Output:
-1.22e-16 1.63e+16 1.73
|
inlineinherited |
cRows | the number of rows in the corner |
cCols | the number of columns in the corner |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topLeftCorner(2, 2): 7 9 -2 -6 Now the matrix m is: 0 0 -5 -3 0 0 1 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topLeftCorner(Index, Index).
|
inlineinherited |
The template parameters CRows and CCols are the number of rows and columns in the corner.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topLeftCorner<2,2>(): 7 9 -2 -6 Now the matrix m is: 0 0 -5 -3 0 0 1 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topLeftCorner<int, int>().
|
inlineinherited |
CRows | number of rows in corner as specified at compile time |
CCols | number of columns in corner as specified at compile time |
cRows | number of rows in corner as specified at run time |
cCols | number of columns in corner as specified at run time |
This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, cRows should equal CRows unless CRows is Dynamic, and the same for the number of columns.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topLeftCorner<2,Dynamic>(2,2): 7 9 -2 -6 Now the matrix m is: 0 0 -5 -3 0 0 1 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topLeftCorner<int, int>(Index, Index).
|
inlineinherited |
cRows | the number of rows in the corner |
cCols | the number of columns in the corner |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topRightCorner(2, 2): -5 -3 1 0 Now the matrix m is: 7 9 0 0 -2 -6 0 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topRightCorner(Index, Index).
|
inlineinherited |
CRows | the number of rows in the corner |
CCols | the number of columns in the corner |
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topRightCorner<2,2>(): -5 -3 1 0 Now the matrix m is: 7 9 0 0 -2 -6 0 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topRightCorner<int, int>().
|
inlineinherited |
CRows | number of rows in corner as specified at compile time |
CCols | number of columns in corner as specified at compile time |
cRows | number of rows in corner as specified at run time |
cCols | number of columns in corner as specified at run time |
This function is mainly useful for corners where the number of rows is specified at compile time and the number of columns is specified at run time, or vice versa. The compile-time and run-time information should not contradict. In other words, cRows should equal CRows unless CRows is Dynamic, and the same for the number of columns.
Example:
Output:
Here is the matrix m: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is m.topRightCorner<2,Dynamic>(2,2): -5 -3 1 0 Now the matrix m is: 7 9 0 0 -2 -6 0 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topRightCorner<int, int>(Index, Index).
|
inlineinherited |
n | the number of rows in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.topRows(2): 7 9 -5 -3 -2 -6 1 0 Now the array a is: 0 0 0 0 0 0 0 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topRows(Index).
|
inlineinherited |
N | the number of rows in the block |
Example:
Output:
Here is the array a: 7 9 -5 -3 -2 -6 1 0 6 -3 0 9 6 6 3 9 Here is a.topRows<2>(): 7 9 -5 -3 -2 -6 1 0 Now the array a is: 0 0 0 0 0 0 0 0 6 -3 0 9 6 6 3 9
|
inlineinherited |
This is the const version of topRows<int>().
|
inlineinherited |
Apply a unary operator coefficient-wise.
[in] | func | Functor implementing the unary operator |
CustomUnaryOp | Type of func |
The function ptr_fun()
from the C++ standard library can be used to make functors out of normal functions.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.68 0.823 0 0 0 0 0.108 0.0268 0.566 0 0 0.904 0.597 0.536 0.258 0.832
Genuine functors allow for more possibilities, for instance it may contain a state.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.5 0.5 -0.444 -0.27 -0.211 -0.5 0.108 0.0268 0.5 -0.33 -0.0452 0.5 0.5 0.5 0.258 0.5
|
inlineinherited |
The template parameter CustomUnaryOp is the type of the functor of the custom unary operator.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.5 0.5 -0.444 -0.27 -0.211 -0.5 0.108 0.0268 0.5 -0.33 -0.0452 0.5 0.5 0.5 0.258 0.5
|
inlineinherited |