Base class for all 1D and 2D array, and related expressions. More...
Public Member Functions | |
const CwiseUnaryOp < internal::scalar_abs_op < Scalar >, const Derived > | abs () const |
const CwiseUnaryOp < internal::scalar_abs2_op < Scalar >, const Derived > | abs2 () const |
const CwiseUnaryOp < internal::scalar_acos_op < Scalar >, const Derived > | acos () const |
const CwiseUnaryOp < internal::scalar_asin_op < Scalar >, const Derived > | asin () const |
template<typename CustomBinaryOp , typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_difference_op < Scalar >, const Derived, const OtherDerived >(operator-)(const Eigen const CwiseBinaryOp < internal::scalar_sum_op < Scalar >, const Derived, const OtherDerived >(operator+)(const Eigen const CwiseBinaryOp < CustomBinaryOp, const Derived, const OtherDerived > | binaryExpr (const Eigen::ArrayBase< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const |
template<typename NewType > | |
internal::cast_return_type < Derived, const CwiseUnaryOp < internal::scalar_cast_op < typename internal::traits < Derived >::Scalar, NewType > , const Derived > >::type | cast () const |
ConjugateReturnType | conjugate () const |
const CwiseUnaryOp < internal::scalar_cos_op < Scalar >, const Derived > | cos () const |
const CwiseUnaryOp < internal::scalar_cube_op < Scalar >, const Derived > | cube () const |
const CwiseUnaryOp < internal::scalar_abs_op < Scalar >, const Derived > | cwiseAbs () const |
const CwiseUnaryOp < internal::scalar_abs2_op < Scalar >, const Derived > | cwiseAbs2 () const |
template<typename OtherDerived > | |
const CwiseBinaryOp < std::equal_to< Scalar > , const Derived, const OtherDerived > | cwiseEqual (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < std::binder1st < std::equal_to< Scalar > >, const Derived > | cwiseEqual (const Scalar &s) const |
const CwiseUnaryOp < internal::scalar_inverse_op < Scalar >, const Derived > | cwiseInverse () const |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const Derived, const OtherDerived > | cwiseMax (const Eigen::ArrayBase< OtherDerived > &other) const |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const Derived, const OtherDerived > | cwiseMin (const Eigen::ArrayBase< OtherDerived > &other) const |
template<typename OtherDerived > | |
const CwiseBinaryOp < std::not_equal_to< Scalar > , const Derived, const OtherDerived > | cwiseNotEqual (const Eigen::ArrayBase< OtherDerived > &other) const |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_product_op < typename internal::traits < Derived >::Scalar, typename internal::traits< OtherDerived > ::Scalar >, const Derived, const OtherDerived > | cwiseProduct (const Eigen::ArrayBase< OtherDerived > &other) const |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_quotient_op < Scalar >, const Derived, const OtherDerived > | cwiseQuotient (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_sqrt_op < Scalar >, const Derived > | cwiseSqrt () const |
const CwiseUnaryOp < internal::scalar_exp_op < Scalar >, const Derived > | exp () const |
const ImagReturnType | imag () const |
NonConstImagReturnType | imag () |
const CwiseUnaryOp < internal::scalar_inverse_op < Scalar >, const Derived > | inverse () const |
const CwiseUnaryOp < internal::scalar_log_op < Scalar >, const Derived > | log () const |
MatrixWrapper< Derived > | matrix () |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_product_op < typename internal::traits < Derived >::Scalar, typename internal::traits< OtherDerived > ::Scalar >, const Derived, 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 Derived > | operator* (const std::complex< Scalar > &scalar) const |
template<typename OtherDerived > | |
Derived & | operator*= (const ArrayBase< OtherDerived > &other) |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const Derived, const OtherDerived >(min)(const Eigen const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const Derived, const OtherDerived >(max)(const Eigen const CwiseBinaryOp < std::less< Scalar >, const Derived, const OtherDerived > (operator<)(const Eigen const CwiseBinaryOp< std::less_equal < Scalar >, const Derived, const OtherDerived >(operator <=)(const Eigen const CwiseBinaryOp< std::greater < Scalar >, const Derived, const OtherDerived >(operator> )(const Eigen const CwiseBinaryOp < std::greater_equal< Scalar > , const Derived, const OtherDerived >(operator> =)(const Eigen const CwiseBinaryOp< std::equal_to < Scalar >, const Derived, const OtherDerived >(operator==)(const Eigen const CwiseBinaryOp < std::not_equal_to< Scalar > , const Derived, const OtherDerived >(operator!=)(const Eigen const CwiseUnaryOp < internal::scalar_add_op < Scalar >, const Derived > | operator+ (const Scalar &scalar) const |
template<typename OtherDerived > | |
Derived & | operator+= (const ArrayBase< OtherDerived > &other) |
const CwiseUnaryOp < internal::scalar_opposite_op < typename internal::traits < Derived >::Scalar >, const Derived > | operator- () const |
const CwiseUnaryOp < internal::scalar_add_op < Scalar >, const Derived > | operator- (const Scalar &scalar) const |
template<typename OtherDerived > | |
Derived & | operator-= (const ArrayBase< OtherDerived > &other) |
template<typename OtherDerived > | |
const CwiseBinaryOp < internal::scalar_quotient_op < Scalar >, const Derived, const OtherDerived > | operator/ (const Eigen::ArrayBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_quotient1_op < typename internal::traits < Derived >::Scalar >, const Derived > | operator/ (const Scalar &scalar) const |
template<typename OtherDerived > | |
Derived & | operator/= (const ArrayBase< OtherDerived > &other) |
Derived & | operator= (const ArrayBase &other) |
const CwiseUnaryOp < internal::scalar_pow_op < Scalar >, const Derived > | pow (const Scalar &exponent) const |
RealReturnType | real () const |
NonConstRealReturnType | real () |
const CwiseUnaryOp < internal::scalar_sin_op < Scalar >, const Derived > | sin () const |
const CwiseUnaryOp < internal::scalar_sqrt_op < Scalar >, const Derived > | sqrt () const |
const CwiseUnaryOp < internal::scalar_square_op < Scalar >, const Derived > | square () const |
const CwiseUnaryOp < internal::scalar_tan_op < Scalar >, Derived > | tan () const |
template<typename CustomUnaryOp > | |
const CwiseUnaryOp < CustomUnaryOp, const Derived > | unaryExpr (const CustomUnaryOp &func=CustomUnaryOp()) const |
Apply a unary operator coefficient-wise. More... | |
template<typename CustomViewOp > | |
const CwiseUnaryView < CustomViewOp, const Derived > | unaryViewExpr (const CustomViewOp &func=CustomViewOp()) const |
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bool | all (void) const |
bool | any (void) const |
Block< Derived > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) |
const Block< const Derived > | block (Index startRow, Index startCol, Index blockRows, Index blockCols) const |
template<int BlockRows, int BlockCols> | |
Block< Derived, BlockRows, BlockCols > | block (Index startRow, Index startCol) |
template<int BlockRows, int BlockCols> | |
const Block< const Derived, BlockRows, BlockCols > | block (Index startRow, Index startCol) const |
Block< Derived > | bottomLeftCorner (Index cRows, Index cCols) |
const Block< const Derived > | bottomLeftCorner (Index cRows, Index cCols) const |
template<int CRows, int CCols> | |
Block< Derived, CRows, CCols > | bottomLeftCorner () |
template<int CRows, int CCols> | |
const Block< const Derived, CRows, CCols > | bottomLeftCorner () const |
Block< Derived > | bottomRightCorner (Index cRows, Index cCols) |
const Block< const Derived > | bottomRightCorner (Index cRows, Index cCols) const |
template<int CRows, int CCols> | |
Block< Derived, CRows, CCols > | bottomRightCorner () |
template<int CRows, int CCols> | |
const Block< const Derived, CRows, CCols > | bottomRightCorner () const |
RowsBlockXpr | bottomRows (Index n) |
ConstRowsBlockXpr | bottomRows (Index n) const |
template<int N> | |
NRowsBlockXpr< N >::Type | bottomRows () |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | bottomRows () const |
ColXpr | col (Index i) |
ConstColXpr | col (Index i) const |
ConstColwiseReturnType | colwise () const |
ColwiseReturnType | colwise () |
Index | count () const |
const internal::eval< Derived > ::type | eval () const |
void | fill (const Scalar &value) |
template<unsigned int Added, unsigned int Removed> | |
const Flagged< Derived, Added, Removed > | flagged () const |
const WithFormat< Derived > | format (const IOFormat &fmt) const |
template<int Size> | |
DenseBase< Derived >::template FixedSegmentReturnType< Size > ::Type | head () |
template<int Size> | |
DenseBase< Derived >::template ConstFixedSegmentReturnType < Size >::Type | head () const |
SegmentReturnType | head (Index size) |
DenseBase::ConstSegmentReturnType | head (Index size) const |
Index | innerSize () const |
template<typename OtherDerived > | |
bool | isApprox (const DenseBase< OtherDerived > &other, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isApproxToConstant (const Scalar &value, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isConstant (const Scalar &value, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
template<typename Derived > | |
bool | isMuchSmallerThan (const typename NumTraits< Scalar >::Real &other, RealScalar prec) const |
template<typename OtherDerived > | |
bool | isMuchSmallerThan (const DenseBase< OtherDerived > &other, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isOnes (RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isZero (RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
ColsBlockXpr | leftCols (Index n) |
ConstColsBlockXpr | leftCols (Index n) const |
template<int N> | |
NColsBlockXpr< N >::Type | leftCols () |
template<int N> | |
ConstNColsBlockXpr< N >::Type | leftCols () const |
internal::traits< Derived >::Scalar | maxCoeff () const |
template<typename IndexType > | |
internal::traits< Derived >::Scalar | maxCoeff (IndexType *row, IndexType *col) const |
template<typename IndexType > | |
internal::traits< Derived >::Scalar | maxCoeff (IndexType *index) const |
Scalar | mean () const |
ColsBlockXpr | middleCols (Index startCol, Index numCols) |
ConstColsBlockXpr | middleCols (Index startCol, Index numCols) const |
template<int N> | |
NColsBlockXpr< N >::Type | middleCols (Index startCol) |
template<int N> | |
ConstNColsBlockXpr< N >::Type | middleCols (Index startCol) const |
RowsBlockXpr | middleRows (Index startRow, Index numRows) |
ConstRowsBlockXpr | middleRows (Index startRow, Index numRows) const |
template<int N> | |
NRowsBlockXpr< N >::Type | middleRows (Index startRow) |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | middleRows (Index startRow) const |
internal::traits< Derived >::Scalar | minCoeff () const |
template<typename IndexType > | |
internal::traits< Derived >::Scalar | minCoeff (IndexType *row, IndexType *col) const |
template<typename IndexType > | |
internal::traits< Derived >::Scalar | minCoeff (IndexType *index) const |
const NestByValue< Derived > | nestByValue () const |
Index | nonZeros () const |
template<typename CustomNullaryOp > | |
const CwiseNullaryOp < CustomNullaryOp, Derived > | NullaryExpr (Index rows, Index cols, const CustomNullaryOp &func) |
template<typename CustomNullaryOp > | |
const CwiseNullaryOp < CustomNullaryOp, Derived > | NullaryExpr (Index size, const CustomNullaryOp &func) |
template<typename CustomNullaryOp > | |
const CwiseNullaryOp < CustomNullaryOp, Derived > | NullaryExpr (const CustomNullaryOp &func) |
CommaInitializer< Derived > | operator<< (const Scalar &s) |
template<typename OtherDerived > | |
CommaInitializer< Derived > | operator<< (const DenseBase< OtherDerived > &other) |
template<typename OtherDerived > | |
Derived & | operator= (const DenseBase< OtherDerived > &other) |
Derived & | operator= (const DenseBase &other) |
template<typename OtherDerived > | |
Derived & | operator= (const EigenBase< OtherDerived > &other) |
Copies the generic expression other into *this. More... | |
Index | outerSize () const |
Scalar | prod () const |
template<typename Func > | |
internal::result_of< Func(typename internal::traits< Derived > ::Scalar)>::type | redux (const Func &func) const |
template<int RowFactor, int ColFactor> | |
const Replicate< Derived, RowFactor, ColFactor > | replicate () const |
const Replicate< Derived, Dynamic, Dynamic > | replicate (Index rowFacor, Index colFactor) const |
void | resize (Index size) |
void | resize (Index rows, Index cols) |
ReverseReturnType | reverse () |
ConstReverseReturnType | reverse () const |
void | reverseInPlace () |
ColsBlockXpr | rightCols (Index n) |
ConstColsBlockXpr | rightCols (Index n) const |
template<int N> | |
NColsBlockXpr< N >::Type | rightCols () |
template<int N> | |
ConstNColsBlockXpr< N >::Type | rightCols () const |
RowXpr | row (Index i) |
ConstRowXpr | row (Index i) const |
ConstRowwiseReturnType | rowwise () const |
RowwiseReturnType | rowwise () |
template<int Size> | |
DenseBase< Derived >::template FixedSegmentReturnType< Size > ::Type | segment (Index start) |
template<int Size> | |
DenseBase< Derived >::template ConstFixedSegmentReturnType < Size >::Type | segment (Index start) const |
SegmentReturnType | segment (Index start, Index size) |
DenseBase::ConstSegmentReturnType | segment (Index start, Index size) const |
template<typename ThenDerived , typename ElseDerived > | |
const Select< Derived, ThenDerived, ElseDerived > | select (const DenseBase< ThenDerived > &thenMatrix, const DenseBase< ElseDerived > &elseMatrix) const |
template<typename ThenDerived > | |
const Select< Derived, ThenDerived, typename ThenDerived::ConstantReturnType > | select (const DenseBase< ThenDerived > &thenMatrix, typename ThenDerived::Scalar elseScalar) const |
template<typename ElseDerived > | |
const Select< Derived, typename ElseDerived::ConstantReturnType, ElseDerived > | select (typename ElseDerived::Scalar thenScalar, const DenseBase< ElseDerived > &elseMatrix) const |
Derived & | setConstant (const Scalar &value) |
Derived & | setLinSpaced (Index size, const Scalar &low, const Scalar &high) |
Sets a linearly space vector. More... | |
Derived & | setOnes () |
Derived & | setRandom () |
Derived & | setZero () |
Scalar | sum () const |
template<typename OtherDerived > | |
void | swap (const DenseBase< OtherDerived > &other, int=OtherDerived::ThisConstantIsPrivateInPlainObjectBase) |
template<typename OtherDerived > | |
void | swap (PlainObjectBase< OtherDerived > &other) |
template<int Size> | |
DenseBase< Derived >::template FixedSegmentReturnType< Size > ::Type | tail () |
template<int Size> | |
DenseBase< Derived >::template ConstFixedSegmentReturnType < Size >::Type | tail () const |
SegmentReturnType | tail (Index size) |
DenseBase::ConstSegmentReturnType | tail (Index size) const |
Block< Derived > | topLeftCorner (Index cRows, Index cCols) |
const Block< const Derived > | topLeftCorner (Index cRows, Index cCols) const |
template<int CRows, int CCols> | |
Block< Derived, CRows, CCols > | topLeftCorner () |
template<int CRows, int CCols> | |
const Block< const Derived, CRows, CCols > | topLeftCorner () const |
Block< Derived > | topRightCorner (Index cRows, Index cCols) |
const Block< const Derived > | topRightCorner (Index cRows, Index cCols) const |
template<int CRows, int CCols> | |
Block< Derived, CRows, CCols > | topRightCorner () |
template<int CRows, int CCols> | |
const Block< const Derived, CRows, CCols > | topRightCorner () const |
RowsBlockXpr | topRows (Index n) |
ConstRowsBlockXpr | topRows (Index n) const |
template<int N> | |
NRowsBlockXpr< N >::Type | topRows () |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | topRows () const |
Eigen::Transpose< Derived > | transpose () |
ConstTransposeReturnType | transpose () const |
void | transposeInPlace () |
CoeffReturnType | value () const |
template<typename Visitor > | |
void | visit (Visitor &func) const |
Additional Inherited Members | |
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enum | { RowsAtCompileTime, ColsAtCompileTime, SizeAtCompileTime, MaxRowsAtCompileTime, MaxColsAtCompileTime, MaxSizeAtCompileTime, IsVectorAtCompileTime, Flags, IsRowMajor , CoeffReadCost } |
typedef internal::traits < Derived >::Index | Index |
The type of indices. More... | |
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static const ConstantReturnType | Constant (Index rows, Index cols, const Scalar &value) |
static const ConstantReturnType | Constant (Index size, const Scalar &value) |
static const ConstantReturnType | Constant (const Scalar &value) |
static const SequentialLinSpacedReturnType | LinSpaced (Sequential_t, Index size, const Scalar &low, const Scalar &high) |
Sets a linearly space vector. More... | |
static const RandomAccessLinSpacedReturnType | LinSpaced (Index size, const Scalar &low, const Scalar &high) |
Sets a linearly space vector. More... | |
static const SequentialLinSpacedReturnType | LinSpaced (Sequential_t, const Scalar &low, const Scalar &high) |
Sets a linearly space vector. More... | |
static const RandomAccessLinSpacedReturnType | LinSpaced (const Scalar &low, const Scalar &high) |
Sets a linearly space vector. More... | |
static const ConstantReturnType | Ones (Index rows, Index cols) |
static const ConstantReturnType | Ones (Index size) |
static const ConstantReturnType | Ones () |
static const CwiseNullaryOp < internal::scalar_random_op < Scalar >, Derived > | Random (Index rows, Index cols) |
static const CwiseNullaryOp < internal::scalar_random_op < Scalar >, Derived > | Random (Index size) |
static const CwiseNullaryOp < internal::scalar_random_op < Scalar >, Derived > | Random () |
static const ConstantReturnType | Zero (Index rows, Index cols) |
static const ConstantReturnType | Zero (Index size) |
static const ConstantReturnType | Zero () |
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DenseBase () | |
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template<typename Derived > | |
std::ostream & | operator<< (std::ostream &s, const DenseBase< Derived > &m) |
Base class for all 1D and 2D array, and related expressions.
An array is similar to a dense vector or matrix. While matrices are mathematical objects with well defined linear algebra operators, an array is just a collection of scalar values arranged in a one or two dimensionnal fashion. As the main consequence, all operations applied to an array are performed coefficient wise. Furthermore, arrays support scalar math functions of the c++ standard library (e.g., std::sin(x)), and convenient constructors allowing to easily write generic code working for both scalar values and arrays.
This class is the base that is inherited by all array expression types.
Derived | is the derived type, e.g., an array or an expression type. |
This class can be extended with the help of the plugin mechanism described on the page Customizing/Extending Eigen by defining the preprocessor symbol EIGEN_ARRAYBASE_PLUGIN
.
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*this
Example:
Output:
1 2 3
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*this
and other *this
and other 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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The template parameter NewScalar is the type we are casting the scalars to.
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*this
.
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*this
Example:
Output:
2 4 6 5 1 0
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*this
Example:
Output:
4 16 36 25 1 0
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Example:
Output:
Comparing m with identity matrix: 1 1 0 1 Number of coefficients that are equal: 3
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*this
and a scalar s
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Example:
Output:
0.5 2 1 0.333 4 1
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Example:
Output:
4 3 4
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Example:
Output:
2 2 3
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Example:
Output:
Comparing m with identity matrix: 0 0 1 0 Number of coefficients that are not equal: 1
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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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Example:
Output:
0.5 1.5 1.33
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Example:
Output:
1 1.41 2
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*this
.
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*this
.
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Example:
Output:
0.5 0.333 0.25
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Example:
Output:
0 0.693 1.1
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*this
and other
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*this
scaled by the scalar factor scalar
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Overloaded for efficient real matrix times complex scalar value
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replaces *this
by *this
* other coefficient wise.
*this
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*this
and other Example:
Output:
2 2 3
*this
and other Example:
Output:
4 3 4
Example:
Output:
1 0 0
Example:
Output:
1 1 0
Example:
Output:
0 0 1
Example:
Output:
0 1 1
Example:
Output:
0 1 0
Example:
Output:
1 0 1
*this
with each coeff incremented by the constant scalar Example:
Output:
6 7 8
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replaces *this
by *this
+ other.
*this
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*this
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*this
with each coeff decremented by the constant scalar Example:
Output:
-4 -3 -2
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replaces *this
by *this
- other.
*this
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*this
and other
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*this
divided by the scalar value scalar
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replaces *this
by *this
/ other coefficient wise.
*this
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Special case of the template operator=, in order to prevent the compiler from generating a default operator= (issue hit with g++ 4.1)
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*this
.
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*this
.
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Example:
Output:
4 9 16
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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
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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