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Add eigen to thirdparty

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kradchen
2023-04-27 15:08:22 +08:00
parent 7f336ac1fe
commit 3bd33920f5
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358
thirdparty/include/Eigen/src/plugins/ArrayCwiseBinaryOps.h vendored Normal file
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/** \returns an expression of the coefficient wise product of \c *this and \a other
*
* \sa MatrixBase::cwiseProduct
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,product)
operator*(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,product)(derived(), other.derived());
}
/** \returns an expression of the coefficient wise quotient of \c *this and \a other
*
* \sa MatrixBase::cwiseQuotient
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar,typename OtherDerived::Scalar>, const Derived, const OtherDerived>
operator/(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<internal::scalar_quotient_op<Scalar,typename OtherDerived::Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise min of \c *this and \a other
*
* Example: \include Cwise_min.cpp
* Output: \verbinclude Cwise_min.out
*
* \sa max()
*/
EIGEN_MAKE_CWISE_BINARY_OP(min,min)
/** \returns an expression of the coefficient-wise min of \c *this and scalar \a other
*
* \sa max()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar,Scalar>, const Derived,
const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> >
#ifdef EIGEN_PARSED_BY_DOXYGEN
min
#else
(min)
#endif
(const Scalar &other) const
{
return (min)(Derived::PlainObject::Constant(rows(), cols(), other));
}
/** \returns an expression of the coefficient-wise max of \c *this and \a other
*
* Example: \include Cwise_max.cpp
* Output: \verbinclude Cwise_max.out
*
* \sa min()
*/
EIGEN_MAKE_CWISE_BINARY_OP(max,max)
/** \returns an expression of the coefficient-wise max of \c *this and scalar \a other
*
* \sa min()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar,Scalar>, const Derived,
const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> >
#ifdef EIGEN_PARSED_BY_DOXYGEN
max
#else
(max)
#endif
(const Scalar &other) const
{
return (max)(Derived::PlainObject::Constant(rows(), cols(), other));
}
/** \returns an expression of the coefficient-wise absdiff of \c *this and \a other
*
* Example: \include Cwise_absolute_difference.cpp
* Output: \verbinclude Cwise_absolute_difference.out
*
* \sa absolute_difference()
*/
EIGEN_MAKE_CWISE_BINARY_OP(absolute_difference,absolute_difference)
/** \returns an expression of the coefficient-wise absolute_difference of \c *this and scalar \a other
*
* \sa absolute_difference()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_absolute_difference_op<Scalar,Scalar>, const Derived,
const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> >
#ifdef EIGEN_PARSED_BY_DOXYGEN
absolute_difference
#else
(absolute_difference)
#endif
(const Scalar &other) const
{
return (absolute_difference)(Derived::PlainObject::Constant(rows(), cols(), other));
}
/** \returns an expression of the coefficient-wise power of \c *this to the given array of \a exponents.
*
* This function computes the coefficient-wise power.
*
* Example: \include Cwise_array_power_array.cpp
* Output: \verbinclude Cwise_array_power_array.out
*/
EIGEN_MAKE_CWISE_BINARY_OP(pow,pow)
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(pow,pow)
#else
/** \returns an expression of the coefficients of \c *this rasied to the constant power \a exponent
*
* \tparam T is the scalar type of \a exponent. It must be compatible with the scalar type of the given expression.
*
* This function computes the coefficient-wise power. The function MatrixBase::pow() in the
* unsupported module MatrixFunctions computes the matrix power.
*
* Example: \include Cwise_pow.cpp
* Output: \verbinclude Cwise_pow.out
*
* \sa ArrayBase::pow(ArrayBase), square(), cube(), exp(), log()
*/
template<typename T>
const CwiseBinaryOp<internal::scalar_pow_op<Scalar,T>,Derived,Constant<T> > pow(const T& exponent) const;
#endif
// TODO code generating macros could be moved to Macros.h and could include generation of documentation
#define EIGEN_MAKE_CWISE_COMP_OP(OP, COMPARATOR) \
template<typename OtherDerived> \
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_cmp_op<Scalar, typename OtherDerived::Scalar, internal::cmp_ ## COMPARATOR>, const Derived, const OtherDerived> \
OP(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
{ \
return CwiseBinaryOp<internal::scalar_cmp_op<Scalar, typename OtherDerived::Scalar, internal::cmp_ ## COMPARATOR>, const Derived, const OtherDerived>(derived(), other.derived()); \
}\
typedef CwiseBinaryOp<internal::scalar_cmp_op<Scalar,Scalar, internal::cmp_ ## COMPARATOR>, const Derived, const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> > Cmp ## COMPARATOR ## ReturnType; \
typedef CwiseBinaryOp<internal::scalar_cmp_op<Scalar,Scalar, internal::cmp_ ## COMPARATOR>, const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject>, const Derived > RCmp ## COMPARATOR ## ReturnType; \
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Cmp ## COMPARATOR ## ReturnType \
OP(const Scalar& s) const { \
return this->OP(Derived::PlainObject::Constant(rows(), cols(), s)); \
} \
EIGEN_DEVICE_FUNC friend EIGEN_STRONG_INLINE const RCmp ## COMPARATOR ## ReturnType \
OP(const Scalar& s, const EIGEN_CURRENT_STORAGE_BASE_CLASS<Derived>& d) { \
return Derived::PlainObject::Constant(d.rows(), d.cols(), s).OP(d); \
}
#define EIGEN_MAKE_CWISE_COMP_R_OP(OP, R_OP, RCOMPARATOR) \
template<typename OtherDerived> \
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_cmp_op<typename OtherDerived::Scalar, Scalar, internal::cmp_##RCOMPARATOR>, const OtherDerived, const Derived> \
OP(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
{ \
return CwiseBinaryOp<internal::scalar_cmp_op<typename OtherDerived::Scalar, Scalar, internal::cmp_##RCOMPARATOR>, const OtherDerived, const Derived>(other.derived(), derived()); \
} \
EIGEN_DEVICE_FUNC \
inline const RCmp ## RCOMPARATOR ## ReturnType \
OP(const Scalar& s) const { \
return Derived::PlainObject::Constant(rows(), cols(), s).R_OP(*this); \
} \
friend inline const Cmp ## RCOMPARATOR ## ReturnType \
OP(const Scalar& s, const Derived& d) { \
return d.R_OP(Derived::PlainObject::Constant(d.rows(), d.cols(), s)); \
}
/** \returns an expression of the coefficient-wise \< operator of *this and \a other
*
* Example: \include Cwise_less.cpp
* Output: \verbinclude Cwise_less.out
*
* \sa all(), any(), operator>(), operator<=()
*/
EIGEN_MAKE_CWISE_COMP_OP(operator<, LT)
/** \returns an expression of the coefficient-wise \<= operator of *this and \a other
*
* Example: \include Cwise_less_equal.cpp
* Output: \verbinclude Cwise_less_equal.out
*
* \sa all(), any(), operator>=(), operator<()
*/
EIGEN_MAKE_CWISE_COMP_OP(operator<=, LE)
/** \returns an expression of the coefficient-wise \> operator of *this and \a other
*
* Example: \include Cwise_greater.cpp
* Output: \verbinclude Cwise_greater.out
*
* \sa all(), any(), operator>=(), operator<()
*/
EIGEN_MAKE_CWISE_COMP_R_OP(operator>, operator<, LT)
/** \returns an expression of the coefficient-wise \>= operator of *this and \a other
*
* Example: \include Cwise_greater_equal.cpp
* Output: \verbinclude Cwise_greater_equal.out
*
* \sa all(), any(), operator>(), operator<=()
*/
EIGEN_MAKE_CWISE_COMP_R_OP(operator>=, operator<=, LE)
/** \returns an expression of the coefficient-wise == operator of *this and \a other
*
* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
* generally a far better idea to use a fuzzy comparison as provided by isApprox() and
* isMuchSmallerThan().
*
* Example: \include Cwise_equal_equal.cpp
* Output: \verbinclude Cwise_equal_equal.out
*
* \sa all(), any(), isApprox(), isMuchSmallerThan()
*/
EIGEN_MAKE_CWISE_COMP_OP(operator==, EQ)
/** \returns an expression of the coefficient-wise != operator of *this and \a other
*
* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
* generally a far better idea to use a fuzzy comparison as provided by isApprox() and
* isMuchSmallerThan().
*
* Example: \include Cwise_not_equal.cpp
* Output: \verbinclude Cwise_not_equal.out
*
* \sa all(), any(), isApprox(), isMuchSmallerThan()
*/
EIGEN_MAKE_CWISE_COMP_OP(operator!=, NEQ)
#undef EIGEN_MAKE_CWISE_COMP_OP
#undef EIGEN_MAKE_CWISE_COMP_R_OP
// scalar addition
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP(operator+,sum)
#else
/** \returns an expression of \c *this with each coeff incremented by the constant \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*
* Example: \include Cwise_plus.cpp
* Output: \verbinclude Cwise_plus.out
*
* \sa operator+=(), operator-()
*/
template<typename T>
const CwiseBinaryOp<internal::scalar_sum_op<Scalar,T>,Derived,Constant<T> > operator+(const T& scalar) const;
/** \returns an expression of \a expr with each coeff incremented by the constant \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*/
template<typename T> friend
const CwiseBinaryOp<internal::scalar_sum_op<T,Scalar>,Constant<T>,Derived> operator+(const T& scalar, const StorageBaseType& expr);
#endif
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP(operator-,difference)
#else
/** \returns an expression of \c *this with each coeff decremented by the constant \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*
* Example: \include Cwise_minus.cpp
* Output: \verbinclude Cwise_minus.out
*
* \sa operator+=(), operator-()
*/
template<typename T>
const CwiseBinaryOp<internal::scalar_difference_op<Scalar,T>,Derived,Constant<T> > operator-(const T& scalar) const;
/** \returns an expression of the constant matrix of value \a scalar decremented by the coefficients of \a expr
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*/
template<typename T> friend
const CwiseBinaryOp<internal::scalar_difference_op<T,Scalar>,Constant<T>,Derived> operator-(const T& scalar, const StorageBaseType& expr);
#endif
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(operator/,quotient)
#else
/**
* \brief Component-wise division of the scalar \a s by array elements of \a a.
*
* \tparam Scalar is the scalar type of \a x. It must be compatible with the scalar type of the given array expression (\c Derived::Scalar).
*/
template<typename T> friend
inline const CwiseBinaryOp<internal::scalar_quotient_op<T,Scalar>,Constant<T>,Derived>
operator/(const T& s,const StorageBaseType& a);
#endif
/** \returns an expression of the coefficient-wise ^ operator of *this and \a other
*
* \warning this operator is for expression of bool only.
*
* Example: \include Cwise_boolean_xor.cpp
* Output: \verbinclude Cwise_boolean_xor.out
*
* \sa operator&&(), select()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
inline const CwiseBinaryOp<internal::scalar_boolean_xor_op, const Derived, const OtherDerived>
operator^(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
return CwiseBinaryOp<internal::scalar_boolean_xor_op, const Derived, const OtherDerived>(derived(),other.derived());
}
// NOTE disabled until we agree on argument order
#if 0
/** \cpp11 \returns an expression of the coefficient-wise polygamma function.
*
* \specialfunctions_module
*
* It returns the \a n -th derivative of the digamma(psi) evaluated at \c *this.
*
* \warning Be careful with the order of the parameters: x.polygamma(n) is equivalent to polygamma(n,x)
*
* \sa Eigen::polygamma()
*/
template<typename DerivedN>
inline const CwiseBinaryOp<internal::scalar_polygamma_op<Scalar>, const DerivedN, const Derived>
polygamma(const EIGEN_CURRENT_STORAGE_BASE_CLASS<DerivedN> &n) const
{
return CwiseBinaryOp<internal::scalar_polygamma_op<Scalar>, const DerivedN, const Derived>(n.derived(), this->derived());
}
#endif
/** \returns an expression of the coefficient-wise zeta function.
*
* \specialfunctions_module
*
* It returns the Riemann zeta function of two arguments \c *this and \a q:
*
* \param q is the shift, it must be > 0
*
* \note *this is the exponent, it must be > 1.
* \note This function supports only float and double scalar types. To support other scalar types, the user has
* to provide implementations of zeta(T,T) for any scalar type T to be supported.
*
* This method is an alias for zeta(*this,q);
*
* \sa Eigen::zeta()
*/
template<typename DerivedQ>
inline const CwiseBinaryOp<internal::scalar_zeta_op<Scalar>, const Derived, const DerivedQ>
zeta(const EIGEN_CURRENT_STORAGE_BASE_CLASS<DerivedQ> &q) const
{
return CwiseBinaryOp<internal::scalar_zeta_op<Scalar>, const Derived, const DerivedQ>(this->derived(), q.derived());
}

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thirdparty/include/Eigen/src/plugins/ArrayCwiseUnaryOps.h vendored Normal file
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typedef CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived> AbsReturnType;
typedef CwiseUnaryOp<internal::scalar_arg_op<Scalar>, const Derived> ArgReturnType;
typedef CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived> Abs2ReturnType;
typedef CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived> SqrtReturnType;
typedef CwiseUnaryOp<internal::scalar_rsqrt_op<Scalar>, const Derived> RsqrtReturnType;
typedef CwiseUnaryOp<internal::scalar_sign_op<Scalar>, const Derived> SignReturnType;
typedef CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived> InverseReturnType;
typedef CwiseUnaryOp<internal::scalar_boolean_not_op<Scalar>, const Derived> BooleanNotReturnType;
typedef CwiseUnaryOp<internal::scalar_exp_op<Scalar>, const Derived> ExpReturnType;
typedef CwiseUnaryOp<internal::scalar_expm1_op<Scalar>, const Derived> Expm1ReturnType;
typedef CwiseUnaryOp<internal::scalar_log_op<Scalar>, const Derived> LogReturnType;
typedef CwiseUnaryOp<internal::scalar_log1p_op<Scalar>, const Derived> Log1pReturnType;
typedef CwiseUnaryOp<internal::scalar_log10_op<Scalar>, const Derived> Log10ReturnType;
typedef CwiseUnaryOp<internal::scalar_log2_op<Scalar>, const Derived> Log2ReturnType;
typedef CwiseUnaryOp<internal::scalar_cos_op<Scalar>, const Derived> CosReturnType;
typedef CwiseUnaryOp<internal::scalar_sin_op<Scalar>, const Derived> SinReturnType;
typedef CwiseUnaryOp<internal::scalar_tan_op<Scalar>, const Derived> TanReturnType;
typedef CwiseUnaryOp<internal::scalar_acos_op<Scalar>, const Derived> AcosReturnType;
typedef CwiseUnaryOp<internal::scalar_asin_op<Scalar>, const Derived> AsinReturnType;
typedef CwiseUnaryOp<internal::scalar_atan_op<Scalar>, const Derived> AtanReturnType;
typedef CwiseUnaryOp<internal::scalar_tanh_op<Scalar>, const Derived> TanhReturnType;
typedef CwiseUnaryOp<internal::scalar_logistic_op<Scalar>, const Derived> LogisticReturnType;
typedef CwiseUnaryOp<internal::scalar_sinh_op<Scalar>, const Derived> SinhReturnType;
#if EIGEN_HAS_CXX11_MATH
typedef CwiseUnaryOp<internal::scalar_atanh_op<Scalar>, const Derived> AtanhReturnType;
typedef CwiseUnaryOp<internal::scalar_asinh_op<Scalar>, const Derived> AsinhReturnType;
typedef CwiseUnaryOp<internal::scalar_acosh_op<Scalar>, const Derived> AcoshReturnType;
#endif
typedef CwiseUnaryOp<internal::scalar_cosh_op<Scalar>, const Derived> CoshReturnType;
typedef CwiseUnaryOp<internal::scalar_square_op<Scalar>, const Derived> SquareReturnType;
typedef CwiseUnaryOp<internal::scalar_cube_op<Scalar>, const Derived> CubeReturnType;
typedef CwiseUnaryOp<internal::scalar_round_op<Scalar>, const Derived> RoundReturnType;
typedef CwiseUnaryOp<internal::scalar_rint_op<Scalar>, const Derived> RintReturnType;
typedef CwiseUnaryOp<internal::scalar_floor_op<Scalar>, const Derived> FloorReturnType;
typedef CwiseUnaryOp<internal::scalar_ceil_op<Scalar>, const Derived> CeilReturnType;
typedef CwiseUnaryOp<internal::scalar_isnan_op<Scalar>, const Derived> IsNaNReturnType;
typedef CwiseUnaryOp<internal::scalar_isinf_op<Scalar>, const Derived> IsInfReturnType;
typedef CwiseUnaryOp<internal::scalar_isfinite_op<Scalar>, const Derived> IsFiniteReturnType;
/** \returns an expression of the coefficient-wise absolute value of \c *this
*
* Example: \include Cwise_abs.cpp
* Output: \verbinclude Cwise_abs.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_abs">Math functions</a>, abs2()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const AbsReturnType
abs() const
{
return AbsReturnType(derived());
}
/** \returns an expression of the coefficient-wise phase angle of \c *this
*
* Example: \include Cwise_arg.cpp
* Output: \verbinclude Cwise_arg.out
*
* \sa abs()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const ArgReturnType
arg() const
{
return ArgReturnType(derived());
}
/** \returns an expression of the coefficient-wise squared absolute value of \c *this
*
* Example: \include Cwise_abs2.cpp
* Output: \verbinclude Cwise_abs2.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_abs2">Math functions</a>, abs(), square()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const Abs2ReturnType
abs2() const
{
return Abs2ReturnType(derived());
}
/** \returns an expression of the coefficient-wise exponential of *this.
*
* This function computes the coefficient-wise exponential. The function MatrixBase::exp() in the
* unsupported module MatrixFunctions computes the matrix exponential.
*
* Example: \include Cwise_exp.cpp
* Output: \verbinclude Cwise_exp.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_exp">Math functions</a>, pow(), log(), sin(), cos()
*/
EIGEN_DEVICE_FUNC
inline const ExpReturnType
exp() const
{
return ExpReturnType(derived());
}
/** \returns an expression of the coefficient-wise exponential of *this minus 1.
*
* In exact arithmetic, \c x.expm1() is equivalent to \c x.exp() - 1,
* however, with finite precision, this function is much more accurate when \c x is close to zero.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_expm1">Math functions</a>, exp()
*/
EIGEN_DEVICE_FUNC
inline const Expm1ReturnType
expm1() const
{
return Expm1ReturnType(derived());
}
/** \returns an expression of the coefficient-wise logarithm of *this.
*
* This function computes the coefficient-wise logarithm. The function MatrixBase::log() in the
* unsupported module MatrixFunctions computes the matrix logarithm.
*
* Example: \include Cwise_log.cpp
* Output: \verbinclude Cwise_log.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_log">Math functions</a>, log()
*/
EIGEN_DEVICE_FUNC
inline const LogReturnType
log() const
{
return LogReturnType(derived());
}
/** \returns an expression of the coefficient-wise logarithm of 1 plus \c *this.
*
* In exact arithmetic, \c x.log() is equivalent to \c (x+1).log(),
* however, with finite precision, this function is much more accurate when \c x is close to zero.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_log1p">Math functions</a>, log()
*/
EIGEN_DEVICE_FUNC
inline const Log1pReturnType
log1p() const
{
return Log1pReturnType(derived());
}
/** \returns an expression of the coefficient-wise base-10 logarithm of *this.
*
* This function computes the coefficient-wise base-10 logarithm.
*
* Example: \include Cwise_log10.cpp
* Output: \verbinclude Cwise_log10.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_log10">Math functions</a>, log()
*/
EIGEN_DEVICE_FUNC
inline const Log10ReturnType
log10() const
{
return Log10ReturnType(derived());
}
/** \returns an expression of the coefficient-wise base-2 logarithm of *this.
*
* This function computes the coefficient-wise base-2 logarithm.
*
*/
EIGEN_DEVICE_FUNC
inline const Log2ReturnType
log2() const
{
return Log2ReturnType(derived());
}
/** \returns an expression of the coefficient-wise square root of *this.
*
* This function computes the coefficient-wise square root. The function MatrixBase::sqrt() in the
* unsupported module MatrixFunctions computes the matrix square root.
*
* Example: \include Cwise_sqrt.cpp
* Output: \verbinclude Cwise_sqrt.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_sqrt">Math functions</a>, pow(), square()
*/
EIGEN_DEVICE_FUNC
inline const SqrtReturnType
sqrt() const
{
return SqrtReturnType(derived());
}
/** \returns an expression of the coefficient-wise inverse square root of *this.
*
* This function computes the coefficient-wise inverse square root.
*
* Example: \include Cwise_sqrt.cpp
* Output: \verbinclude Cwise_sqrt.out
*
* \sa pow(), square()
*/
EIGEN_DEVICE_FUNC
inline const RsqrtReturnType
rsqrt() const
{
return RsqrtReturnType(derived());
}
/** \returns an expression of the coefficient-wise signum of *this.
*
* This function computes the coefficient-wise signum.
*
* Example: \include Cwise_sign.cpp
* Output: \verbinclude Cwise_sign.out
*
* \sa pow(), square()
*/
EIGEN_DEVICE_FUNC
inline const SignReturnType
sign() const
{
return SignReturnType(derived());
}
/** \returns an expression of the coefficient-wise cosine of *this.
*
* This function computes the coefficient-wise cosine. The function MatrixBase::cos() in the
* unsupported module MatrixFunctions computes the matrix cosine.
*
* Example: \include Cwise_cos.cpp
* Output: \verbinclude Cwise_cos.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_cos">Math functions</a>, sin(), acos()
*/
EIGEN_DEVICE_FUNC
inline const CosReturnType
cos() const
{
return CosReturnType(derived());
}
/** \returns an expression of the coefficient-wise sine of *this.
*
* This function computes the coefficient-wise sine. The function MatrixBase::sin() in the
* unsupported module MatrixFunctions computes the matrix sine.
*
* Example: \include Cwise_sin.cpp
* Output: \verbinclude Cwise_sin.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_sin">Math functions</a>, cos(), asin()
*/
EIGEN_DEVICE_FUNC
inline const SinReturnType
sin() const
{
return SinReturnType(derived());
}
/** \returns an expression of the coefficient-wise tan of *this.
*
* Example: \include Cwise_tan.cpp
* Output: \verbinclude Cwise_tan.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_tan">Math functions</a>, cos(), sin()
*/
EIGEN_DEVICE_FUNC
inline const TanReturnType
tan() const
{
return TanReturnType(derived());
}
/** \returns an expression of the coefficient-wise arc tan of *this.
*
* Example: \include Cwise_atan.cpp
* Output: \verbinclude Cwise_atan.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_atan">Math functions</a>, tan(), asin(), acos()
*/
EIGEN_DEVICE_FUNC
inline const AtanReturnType
atan() const
{
return AtanReturnType(derived());
}
/** \returns an expression of the coefficient-wise arc cosine of *this.
*
* Example: \include Cwise_acos.cpp
* Output: \verbinclude Cwise_acos.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_acos">Math functions</a>, cos(), asin()
*/
EIGEN_DEVICE_FUNC
inline const AcosReturnType
acos() const
{
return AcosReturnType(derived());
}
/** \returns an expression of the coefficient-wise arc sine of *this.
*
* Example: \include Cwise_asin.cpp
* Output: \verbinclude Cwise_asin.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_asin">Math functions</a>, sin(), acos()
*/
EIGEN_DEVICE_FUNC
inline const AsinReturnType
asin() const
{
return AsinReturnType(derived());
}
/** \returns an expression of the coefficient-wise hyperbolic tan of *this.
*
* Example: \include Cwise_tanh.cpp
* Output: \verbinclude Cwise_tanh.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_tanh">Math functions</a>, tan(), sinh(), cosh()
*/
EIGEN_DEVICE_FUNC
inline const TanhReturnType
tanh() const
{
return TanhReturnType(derived());
}
/** \returns an expression of the coefficient-wise hyperbolic sin of *this.
*
* Example: \include Cwise_sinh.cpp
* Output: \verbinclude Cwise_sinh.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_sinh">Math functions</a>, sin(), tanh(), cosh()
*/
EIGEN_DEVICE_FUNC
inline const SinhReturnType
sinh() const
{
return SinhReturnType(derived());
}
/** \returns an expression of the coefficient-wise hyperbolic cos of *this.
*
* Example: \include Cwise_cosh.cpp
* Output: \verbinclude Cwise_cosh.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_cosh">Math functions</a>, tanh(), sinh(), cosh()
*/
EIGEN_DEVICE_FUNC
inline const CoshReturnType
cosh() const
{
return CoshReturnType(derived());
}
#if EIGEN_HAS_CXX11_MATH
/** \returns an expression of the coefficient-wise inverse hyperbolic tan of *this.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_atanh">Math functions</a>, atanh(), asinh(), acosh()
*/
EIGEN_DEVICE_FUNC
inline const AtanhReturnType
atanh() const
{
return AtanhReturnType(derived());
}
/** \returns an expression of the coefficient-wise inverse hyperbolic sin of *this.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_asinh">Math functions</a>, atanh(), asinh(), acosh()
*/
EIGEN_DEVICE_FUNC
inline const AsinhReturnType
asinh() const
{
return AsinhReturnType(derived());
}
/** \returns an expression of the coefficient-wise inverse hyperbolic cos of *this.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_acosh">Math functions</a>, atanh(), asinh(), acosh()
*/
EIGEN_DEVICE_FUNC
inline const AcoshReturnType
acosh() const
{
return AcoshReturnType(derived());
}
#endif
/** \returns an expression of the coefficient-wise logistic of *this.
*/
EIGEN_DEVICE_FUNC
inline const LogisticReturnType
logistic() const
{
return LogisticReturnType(derived());
}
/** \returns an expression of the coefficient-wise inverse of *this.
*
* Example: \include Cwise_inverse.cpp
* Output: \verbinclude Cwise_inverse.out
*
* \sa operator/(), operator*()
*/
EIGEN_DEVICE_FUNC
inline const InverseReturnType
inverse() const
{
return InverseReturnType(derived());
}
/** \returns an expression of the coefficient-wise square of *this.
*
* Example: \include Cwise_square.cpp
* Output: \verbinclude Cwise_square.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_squareE">Math functions</a>, abs2(), cube(), pow()
*/
EIGEN_DEVICE_FUNC
inline const SquareReturnType
square() const
{
return SquareReturnType(derived());
}
/** \returns an expression of the coefficient-wise cube of *this.
*
* Example: \include Cwise_cube.cpp
* Output: \verbinclude Cwise_cube.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_cube">Math functions</a>, square(), pow()
*/
EIGEN_DEVICE_FUNC
inline const CubeReturnType
cube() const
{
return CubeReturnType(derived());
}
/** \returns an expression of the coefficient-wise rint of *this.
*
* Example: \include Cwise_rint.cpp
* Output: \verbinclude Cwise_rint.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_rint">Math functions</a>, ceil(), floor()
*/
EIGEN_DEVICE_FUNC
inline const RintReturnType
rint() const
{
return RintReturnType(derived());
}
/** \returns an expression of the coefficient-wise round of *this.
*
* Example: \include Cwise_round.cpp
* Output: \verbinclude Cwise_round.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_round">Math functions</a>, ceil(), floor()
*/
EIGEN_DEVICE_FUNC
inline const RoundReturnType
round() const
{
return RoundReturnType(derived());
}
/** \returns an expression of the coefficient-wise floor of *this.
*
* Example: \include Cwise_floor.cpp
* Output: \verbinclude Cwise_floor.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_floor">Math functions</a>, ceil(), round()
*/
EIGEN_DEVICE_FUNC
inline const FloorReturnType
floor() const
{
return FloorReturnType(derived());
}
/** \returns an expression of the coefficient-wise ceil of *this.
*
* Example: \include Cwise_ceil.cpp
* Output: \verbinclude Cwise_ceil.out
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_ceil">Math functions</a>, floor(), round()
*/
EIGEN_DEVICE_FUNC
inline const CeilReturnType
ceil() const
{
return CeilReturnType(derived());
}
template<int N> struct ShiftRightXpr {
typedef CwiseUnaryOp<internal::scalar_shift_right_op<Scalar, N>, const Derived> Type;
};
/** \returns an expression of \c *this with the \a Scalar type arithmetically
* shifted right by \a N bit positions.
*
* The template parameter \a N specifies the number of bit positions to shift.
*
* \sa shiftLeft()
*/
template<int N>
EIGEN_DEVICE_FUNC
typename ShiftRightXpr<N>::Type
shiftRight() const
{
return typename ShiftRightXpr<N>::Type(derived());
}
template<int N> struct ShiftLeftXpr {
typedef CwiseUnaryOp<internal::scalar_shift_left_op<Scalar, N>, const Derived> Type;
};
/** \returns an expression of \c *this with the \a Scalar type logically
* shifted left by \a N bit positions.
*
* The template parameter \a N specifies the number of bit positions to shift.
*
* \sa shiftRight()
*/
template<int N>
EIGEN_DEVICE_FUNC
typename ShiftLeftXpr<N>::Type
shiftLeft() const
{
return typename ShiftLeftXpr<N>::Type(derived());
}
/** \returns an expression of the coefficient-wise isnan of *this.
*
* Example: \include Cwise_isNaN.cpp
* Output: \verbinclude Cwise_isNaN.out
*
* \sa isfinite(), isinf()
*/
EIGEN_DEVICE_FUNC
inline const IsNaNReturnType
isNaN() const
{
return IsNaNReturnType(derived());
}
/** \returns an expression of the coefficient-wise isinf of *this.
*
* Example: \include Cwise_isInf.cpp
* Output: \verbinclude Cwise_isInf.out
*
* \sa isnan(), isfinite()
*/
EIGEN_DEVICE_FUNC
inline const IsInfReturnType
isInf() const
{
return IsInfReturnType(derived());
}
/** \returns an expression of the coefficient-wise isfinite of *this.
*
* Example: \include Cwise_isFinite.cpp
* Output: \verbinclude Cwise_isFinite.out
*
* \sa isnan(), isinf()
*/
EIGEN_DEVICE_FUNC
inline const IsFiniteReturnType
isFinite() const
{
return IsFiniteReturnType(derived());
}
/** \returns an expression of the coefficient-wise ! operator of *this
*
* \warning this operator is for expression of bool only.
*
* Example: \include Cwise_boolean_not.cpp
* Output: \verbinclude Cwise_boolean_not.out
*
* \sa operator!=()
*/
EIGEN_DEVICE_FUNC
inline const BooleanNotReturnType
operator!() const
{
EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value),
THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
return BooleanNotReturnType(derived());
}
// --- SpecialFunctions module ---
typedef CwiseUnaryOp<internal::scalar_lgamma_op<Scalar>, const Derived> LgammaReturnType;
typedef CwiseUnaryOp<internal::scalar_digamma_op<Scalar>, const Derived> DigammaReturnType;
typedef CwiseUnaryOp<internal::scalar_erf_op<Scalar>, const Derived> ErfReturnType;
typedef CwiseUnaryOp<internal::scalar_erfc_op<Scalar>, const Derived> ErfcReturnType;
typedef CwiseUnaryOp<internal::scalar_ndtri_op<Scalar>, const Derived> NdtriReturnType;
/** \cpp11 \returns an expression of the coefficient-wise ln(|gamma(*this)|).
*
* \specialfunctions_module
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of lgamma(T) for any scalar
* type T to be supported.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_lgamma">Math functions</a>, digamma()
*/
EIGEN_DEVICE_FUNC
inline const LgammaReturnType
lgamma() const
{
return LgammaReturnType(derived());
}
/** \returns an expression of the coefficient-wise digamma (psi, derivative of lgamma).
*
* \specialfunctions_module
*
* \note This function supports only float and double scalar types. To support other scalar types,
* the user has to provide implementations of digamma(T) for any scalar
* type T to be supported.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_digamma">Math functions</a>, Eigen::digamma(), Eigen::polygamma(), lgamma()
*/
EIGEN_DEVICE_FUNC
inline const DigammaReturnType
digamma() const
{
return DigammaReturnType(derived());
}
/** \cpp11 \returns an expression of the coefficient-wise Gauss error
* function of *this.
*
* \specialfunctions_module
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of erf(T) for any scalar
* type T to be supported.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_erf">Math functions</a>, erfc()
*/
EIGEN_DEVICE_FUNC
inline const ErfReturnType
erf() const
{
return ErfReturnType(derived());
}
/** \cpp11 \returns an expression of the coefficient-wise Complementary error
* function of *this.
*
* \specialfunctions_module
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of erfc(T) for any scalar
* type T to be supported.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_erfc">Math functions</a>, erf()
*/
EIGEN_DEVICE_FUNC
inline const ErfcReturnType
erfc() const
{
return ErfcReturnType(derived());
}
/** \returns an expression of the coefficient-wise inverse of the CDF of the Normal distribution function
* function of *this.
*
* \specialfunctions_module
*
* In other words, considering `x = ndtri(y)`, it returns the argument, x, for which the area under the
* Gaussian probability density function (integrated from minus infinity to x) is equal to y.
*
* \note This function supports only float and double scalar types. To support other scalar types,
* the user has to provide implementations of ndtri(T) for any scalar type T to be supported.
*
* \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_ndtri">Math functions</a>
*/
EIGEN_DEVICE_FUNC
inline const NdtriReturnType
ndtri() const
{
return NdtriReturnType(derived());
}

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2016 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
// This file is a base class plugin containing common coefficient wise functions.
/** \returns an expression of the difference of \c *this and \a other
*
* \note If you want to substract a given scalar from all coefficients, see Cwise::operator-().
*
* \sa class CwiseBinaryOp, operator-=()
*/
EIGEN_MAKE_CWISE_BINARY_OP(operator-,difference)
/** \returns an expression of the sum of \c *this and \a other
*
* \note If you want to add a given scalar to all coefficients, see Cwise::operator+().
*
* \sa class CwiseBinaryOp, operator+=()
*/
EIGEN_MAKE_CWISE_BINARY_OP(operator+,sum)
/** \returns an expression of a custom coefficient-wise operator \a func of *this and \a other
*
* The template parameter \a 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:
* \include class_CwiseBinaryOp.cpp
* Output: \verbinclude class_CwiseBinaryOp.out
*
* \sa class CwiseBinaryOp, operator+(), operator-(), cwiseProduct()
*/
template<typename CustomBinaryOp, typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<CustomBinaryOp, const Derived, const OtherDerived>
binaryExpr(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other, const CustomBinaryOp& func = CustomBinaryOp()) const
{
return CwiseBinaryOp<CustomBinaryOp, const Derived, const OtherDerived>(derived(), other.derived(), func);
}
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP(operator*,product)
#else
/** \returns an expression of \c *this scaled by the scalar factor \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*/
template<typename T>
const CwiseBinaryOp<internal::scalar_product_op<Scalar,T>,Derived,Constant<T> > operator*(const T& scalar) const;
/** \returns an expression of \a expr scaled by the scalar factor \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*/
template<typename T> friend
const CwiseBinaryOp<internal::scalar_product_op<T,Scalar>,Constant<T>,Derived> operator*(const T& scalar, const StorageBaseType& expr);
#endif
#ifndef EIGEN_PARSED_BY_DOXYGEN
EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(operator/,quotient)
#else
/** \returns an expression of \c *this divided by the scalar value \a scalar
*
* \tparam T is the scalar type of \a scalar. It must be compatible with the scalar type of the given expression.
*/
template<typename T>
const CwiseBinaryOp<internal::scalar_quotient_op<Scalar,T>,Derived,Constant<T> > operator/(const T& scalar) const;
#endif
/** \returns an expression of the coefficient-wise boolean \b and operator of \c *this and \a other
*
* \warning this operator is for expression of bool only.
*
* Example: \include Cwise_boolean_and.cpp
* Output: \verbinclude Cwise_boolean_and.out
*
* \sa operator||(), select()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
inline const CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>
operator&&(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
return CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>(derived(),other.derived());
}
/** \returns an expression of the coefficient-wise boolean \b or operator of \c *this and \a other
*
* \warning this operator is for expression of bool only.
*
* Example: \include Cwise_boolean_or.cpp
* Output: \verbinclude Cwise_boolean_or.out
*
* \sa operator&&(), select()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
inline const CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>
operator||(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
return CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>(derived(),other.derived());
}

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
// This file is a base class plugin containing common coefficient wise functions.
#ifndef EIGEN_PARSED_BY_DOXYGEN
/** \internal the return type of conjugate() */
typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
const CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, const Derived>,
const Derived&
>::type ConjugateReturnType;
/** \internal the return type of real() const */
typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
const CwiseUnaryOp<internal::scalar_real_op<Scalar>, const Derived>,
const Derived&
>::type RealReturnType;
/** \internal the return type of real() */
typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
CwiseUnaryView<internal::scalar_real_ref_op<Scalar>, Derived>,
Derived&
>::type NonConstRealReturnType;
/** \internal the return type of imag() const */
typedef CwiseUnaryOp<internal::scalar_imag_op<Scalar>, const Derived> ImagReturnType;
/** \internal the return type of imag() */
typedef CwiseUnaryView<internal::scalar_imag_ref_op<Scalar>, Derived> NonConstImagReturnType;
typedef CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, const Derived> NegativeReturnType;
#endif // not EIGEN_PARSED_BY_DOXYGEN
/// \returns an expression of the opposite of \c *this
///
EIGEN_DOC_UNARY_ADDONS(operator-,opposite)
///
EIGEN_DEVICE_FUNC
inline const NegativeReturnType
operator-() const { return NegativeReturnType(derived()); }
template<class NewType> struct CastXpr { typedef typename internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_cast_op<Scalar, NewType>, const Derived> >::type Type; };
/// \returns an expression of \c *this with the \a Scalar type casted to
/// \a NewScalar.
///
/// The template parameter \a NewScalar is the type we are casting the scalars to.
///
EIGEN_DOC_UNARY_ADDONS(cast,conversion function)
///
/// \sa class CwiseUnaryOp
///
template<typename NewType>
EIGEN_DEVICE_FUNC
typename CastXpr<NewType>::Type
cast() const
{
return typename CastXpr<NewType>::Type(derived());
}
/// \returns an expression of the complex conjugate of \c *this.
///
EIGEN_DOC_UNARY_ADDONS(conjugate,complex conjugate)
///
/// \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_conj">Math functions</a>, MatrixBase::adjoint()
EIGEN_DEVICE_FUNC
inline ConjugateReturnType
conjugate() const
{
return ConjugateReturnType(derived());
}
/// \returns an expression of the complex conjugate of \c *this if Cond==true, returns derived() otherwise.
///
EIGEN_DOC_UNARY_ADDONS(conjugate,complex conjugate)
///
/// \sa conjugate()
template<bool Cond>
EIGEN_DEVICE_FUNC
inline typename internal::conditional<Cond,ConjugateReturnType,const Derived&>::type
conjugateIf() const
{
typedef typename internal::conditional<Cond,ConjugateReturnType,const Derived&>::type ReturnType;
return ReturnType(derived());
}
/// \returns a read-only expression of the real part of \c *this.
///
EIGEN_DOC_UNARY_ADDONS(real,real part function)
///
/// \sa imag()
EIGEN_DEVICE_FUNC
inline RealReturnType
real() const { return RealReturnType(derived()); }
/// \returns an read-only expression of the imaginary part of \c *this.
///
EIGEN_DOC_UNARY_ADDONS(imag,imaginary part function)
///
/// \sa real()
EIGEN_DEVICE_FUNC
inline const ImagReturnType
imag() const { return ImagReturnType(derived()); }
/// \brief Apply a unary operator coefficient-wise
/// \param[in] func Functor implementing the unary operator
/// \tparam CustomUnaryOp Type of \a func
/// \returns An expression of a custom coefficient-wise unary operator \a func of *this
///
/// The function \c ptr_fun() from the C++ standard library can be used to make functors out of normal functions.
///
/// Example:
/// \include class_CwiseUnaryOp_ptrfun.cpp
/// Output: \verbinclude class_CwiseUnaryOp_ptrfun.out
///
/// Genuine functors allow for more possibilities, for instance it may contain a state.
///
/// Example:
/// \include class_CwiseUnaryOp.cpp
/// Output: \verbinclude class_CwiseUnaryOp.out
///
EIGEN_DOC_UNARY_ADDONS(unaryExpr,unary function)
///
/// \sa unaryViewExpr, binaryExpr, class CwiseUnaryOp
///
template<typename CustomUnaryOp>
EIGEN_DEVICE_FUNC
inline const CwiseUnaryOp<CustomUnaryOp, const Derived>
unaryExpr(const CustomUnaryOp& func = CustomUnaryOp()) const
{
return CwiseUnaryOp<CustomUnaryOp, const Derived>(derived(), func);
}
/// \returns an expression of a custom coefficient-wise unary operator \a func of *this
///
/// The template parameter \a CustomUnaryOp is the type of the functor
/// of the custom unary operator.
///
/// Example:
/// \include class_CwiseUnaryOp.cpp
/// Output: \verbinclude class_CwiseUnaryOp.out
///
EIGEN_DOC_UNARY_ADDONS(unaryViewExpr,unary function)
///
/// \sa unaryExpr, binaryExpr class CwiseUnaryOp
///
template<typename CustomViewOp>
EIGEN_DEVICE_FUNC
inline const CwiseUnaryView<CustomViewOp, const Derived>
unaryViewExpr(const CustomViewOp& func = CustomViewOp()) const
{
return CwiseUnaryView<CustomViewOp, const Derived>(derived(), func);
}
/// \returns a non const expression of the real part of \c *this.
///
EIGEN_DOC_UNARY_ADDONS(real,real part function)
///
/// \sa imag()
EIGEN_DEVICE_FUNC
inline NonConstRealReturnType
real() { return NonConstRealReturnType(derived()); }
/// \returns a non const expression of the imaginary part of \c *this.
///
EIGEN_DOC_UNARY_ADDONS(imag,imaginary part function)
///
/// \sa real()
EIGEN_DEVICE_FUNC
inline NonConstImagReturnType
imag() { return NonConstImagReturnType(derived()); }

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2017 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#if !defined(EIGEN_PARSED_BY_DOXYGEN)
// This file is automatically included twice to generate const and non-const versions
#ifndef EIGEN_INDEXED_VIEW_METHOD_2ND_PASS
#define EIGEN_INDEXED_VIEW_METHOD_CONST const
#define EIGEN_INDEXED_VIEW_METHOD_TYPE ConstIndexedViewType
#else
#define EIGEN_INDEXED_VIEW_METHOD_CONST
#define EIGEN_INDEXED_VIEW_METHOD_TYPE IndexedViewType
#endif
#ifndef EIGEN_INDEXED_VIEW_METHOD_2ND_PASS
protected:
// define some aliases to ease readability
template<typename Indices>
struct IvcRowType : public internal::IndexedViewCompatibleType<Indices,RowsAtCompileTime> {};
template<typename Indices>
struct IvcColType : public internal::IndexedViewCompatibleType<Indices,ColsAtCompileTime> {};
template<typename Indices>
struct IvcType : public internal::IndexedViewCompatibleType<Indices,SizeAtCompileTime> {};
typedef typename internal::IndexedViewCompatibleType<Index,1>::type IvcIndex;
template<typename Indices>
typename IvcRowType<Indices>::type
ivcRow(const Indices& indices) const {
return internal::makeIndexedViewCompatible(indices, internal::variable_if_dynamic<Index,RowsAtCompileTime>(derived().rows()),Specialized);
}
template<typename Indices>
typename IvcColType<Indices>::type
ivcCol(const Indices& indices) const {
return internal::makeIndexedViewCompatible(indices, internal::variable_if_dynamic<Index,ColsAtCompileTime>(derived().cols()),Specialized);
}
template<typename Indices>
typename IvcColType<Indices>::type
ivcSize(const Indices& indices) const {
return internal::makeIndexedViewCompatible(indices, internal::variable_if_dynamic<Index,SizeAtCompileTime>(derived().size()),Specialized);
}
public:
#endif
template<typename RowIndices, typename ColIndices>
struct EIGEN_INDEXED_VIEW_METHOD_TYPE {
typedef IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,
typename IvcRowType<RowIndices>::type,
typename IvcColType<ColIndices>::type> type;
};
// This is the generic version
template<typename RowIndices, typename ColIndices>
typename internal::enable_if<internal::valid_indexed_view_overload<RowIndices,ColIndices>::value
&& internal::traits<typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type>::ReturnAsIndexedView,
typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type >::type
operator()(const RowIndices& rowIndices, const ColIndices& colIndices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type
(derived(), ivcRow(rowIndices), ivcCol(colIndices));
}
// The following overload returns a Block<> object
template<typename RowIndices, typename ColIndices>
typename internal::enable_if<internal::valid_indexed_view_overload<RowIndices,ColIndices>::value
&& internal::traits<typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type>::ReturnAsBlock,
typename internal::traits<typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type>::BlockType>::type
operator()(const RowIndices& rowIndices, const ColIndices& colIndices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
typedef typename internal::traits<typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type>::BlockType BlockType;
typename IvcRowType<RowIndices>::type actualRowIndices = ivcRow(rowIndices);
typename IvcColType<ColIndices>::type actualColIndices = ivcCol(colIndices);
return BlockType(derived(),
internal::first(actualRowIndices),
internal::first(actualColIndices),
internal::size(actualRowIndices),
internal::size(actualColIndices));
}
// The following overload returns a Scalar
template<typename RowIndices, typename ColIndices>
typename internal::enable_if<internal::valid_indexed_view_overload<RowIndices,ColIndices>::value
&& internal::traits<typename EIGEN_INDEXED_VIEW_METHOD_TYPE<RowIndices,ColIndices>::type>::ReturnAsScalar,
CoeffReturnType >::type
operator()(const RowIndices& rowIndices, const ColIndices& colIndices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return Base::operator()(internal::eval_expr_given_size(rowIndices,rows()),internal::eval_expr_given_size(colIndices,cols()));
}
#if EIGEN_HAS_STATIC_ARRAY_TEMPLATE
// The following three overloads are needed to handle raw Index[N] arrays.
template<typename RowIndicesT, std::size_t RowIndicesN, typename ColIndices>
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const RowIndicesT (&)[RowIndicesN],typename IvcColType<ColIndices>::type>
operator()(const RowIndicesT (&rowIndices)[RowIndicesN], const ColIndices& colIndices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const RowIndicesT (&)[RowIndicesN],typename IvcColType<ColIndices>::type>
(derived(), rowIndices, ivcCol(colIndices));
}
template<typename RowIndices, typename ColIndicesT, std::size_t ColIndicesN>
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,typename IvcRowType<RowIndices>::type, const ColIndicesT (&)[ColIndicesN]>
operator()(const RowIndices& rowIndices, const ColIndicesT (&colIndices)[ColIndicesN]) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,typename IvcRowType<RowIndices>::type,const ColIndicesT (&)[ColIndicesN]>
(derived(), ivcRow(rowIndices), colIndices);
}
template<typename RowIndicesT, std::size_t RowIndicesN, typename ColIndicesT, std::size_t ColIndicesN>
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const RowIndicesT (&)[RowIndicesN], const ColIndicesT (&)[ColIndicesN]>
operator()(const RowIndicesT (&rowIndices)[RowIndicesN], const ColIndicesT (&colIndices)[ColIndicesN]) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const RowIndicesT (&)[RowIndicesN],const ColIndicesT (&)[ColIndicesN]>
(derived(), rowIndices, colIndices);
}
#endif // EIGEN_HAS_STATIC_ARRAY_TEMPLATE
// Overloads for 1D vectors/arrays
template<typename Indices>
typename internal::enable_if<
IsRowMajor && (!(internal::get_compile_time_incr<typename IvcType<Indices>::type>::value==1 || internal::is_valid_index_type<Indices>::value)),
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,IvcIndex,typename IvcType<Indices>::type> >::type
operator()(const Indices& indices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,IvcIndex,typename IvcType<Indices>::type>
(derived(), IvcIndex(0), ivcCol(indices));
}
template<typename Indices>
typename internal::enable_if<
(!IsRowMajor) && (!(internal::get_compile_time_incr<typename IvcType<Indices>::type>::value==1 || internal::is_valid_index_type<Indices>::value)),
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,typename IvcType<Indices>::type,IvcIndex> >::type
operator()(const Indices& indices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,typename IvcType<Indices>::type,IvcIndex>
(derived(), ivcRow(indices), IvcIndex(0));
}
template<typename Indices>
typename internal::enable_if<
(internal::get_compile_time_incr<typename IvcType<Indices>::type>::value==1) && (!internal::is_valid_index_type<Indices>::value) && (!symbolic::is_symbolic<Indices>::value),
VectorBlock<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,internal::array_size<Indices>::value> >::type
operator()(const Indices& indices) EIGEN_INDEXED_VIEW_METHOD_CONST
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
typename IvcType<Indices>::type actualIndices = ivcSize(indices);
return VectorBlock<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,internal::array_size<Indices>::value>
(derived(), internal::first(actualIndices), internal::size(actualIndices));
}
template<typename IndexType>
typename internal::enable_if<symbolic::is_symbolic<IndexType>::value, CoeffReturnType >::type
operator()(const IndexType& id) EIGEN_INDEXED_VIEW_METHOD_CONST
{
return Base::operator()(internal::eval_expr_given_size(id,size()));
}
#if EIGEN_HAS_STATIC_ARRAY_TEMPLATE
template<typename IndicesT, std::size_t IndicesN>
typename internal::enable_if<IsRowMajor,
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,IvcIndex,const IndicesT (&)[IndicesN]> >::type
operator()(const IndicesT (&indices)[IndicesN]) EIGEN_INDEXED_VIEW_METHOD_CONST
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,IvcIndex,const IndicesT (&)[IndicesN]>
(derived(), IvcIndex(0), indices);
}
template<typename IndicesT, std::size_t IndicesN>
typename internal::enable_if<!IsRowMajor,
IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const IndicesT (&)[IndicesN],IvcIndex> >::type
operator()(const IndicesT (&indices)[IndicesN]) EIGEN_INDEXED_VIEW_METHOD_CONST
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
return IndexedView<EIGEN_INDEXED_VIEW_METHOD_CONST Derived,const IndicesT (&)[IndicesN],IvcIndex>
(derived(), indices, IvcIndex(0));
}
#endif // EIGEN_HAS_STATIC_ARRAY_TEMPLATE
#undef EIGEN_INDEXED_VIEW_METHOD_CONST
#undef EIGEN_INDEXED_VIEW_METHOD_TYPE
#ifndef EIGEN_INDEXED_VIEW_METHOD_2ND_PASS
#define EIGEN_INDEXED_VIEW_METHOD_2ND_PASS
#include "IndexedViewMethods.h"
#undef EIGEN_INDEXED_VIEW_METHOD_2ND_PASS
#endif
#else // EIGEN_PARSED_BY_DOXYGEN
/**
* \returns a generic submatrix view defined by the rows and columns indexed \a rowIndices and \a colIndices respectively.
*
* Each parameter must either be:
* - An integer indexing a single row or column
* - Eigen::all indexing the full set of respective rows or columns in increasing order
* - An ArithmeticSequence as returned by the Eigen::seq and Eigen::seqN functions
* - Any %Eigen's vector/array of integers or expressions
* - Plain C arrays: \c int[N]
* - And more generally any type exposing the following two member functions:
* \code
* <integral type> operator[](<integral type>) const;
* <integral type> size() const;
* \endcode
* where \c <integral \c type> stands for any integer type compatible with Eigen::Index (i.e. \c std::ptrdiff_t).
*
* The last statement implies compatibility with \c std::vector, \c std::valarray, \c std::array, many of the Range-v3's ranges, etc.
*
* If the submatrix can be represented using a starting position \c (i,j) and positive sizes \c (rows,columns), then this
* method will returns a Block object after extraction of the relevant information from the passed arguments. This is the case
* when all arguments are either:
* - An integer
* - Eigen::all
* - An ArithmeticSequence with compile-time increment strictly equal to 1, as returned by Eigen::seq(a,b), and Eigen::seqN(a,N).
*
* Otherwise a more general IndexedView<Derived,RowIndices',ColIndices'> object will be returned, after conversion of the inputs
* to more suitable types \c RowIndices' and \c ColIndices'.
*
* For 1D vectors and arrays, you better use the operator()(const Indices&) overload, which behave the same way but taking a single parameter.
*
* See also this <a href="https://stackoverflow.com/questions/46110917/eigen-replicate-items-along-one-dimension-without-useless-allocations">question</a> and its answer for an example of how to duplicate coefficients.
*
* \sa operator()(const Indices&), class Block, class IndexedView, DenseBase::block(Index,Index,Index,Index)
*/
template<typename RowIndices, typename ColIndices>
IndexedView_or_Block
operator()(const RowIndices& rowIndices, const ColIndices& colIndices);
/** This is an overload of operator()(const RowIndices&, const ColIndices&) for 1D vectors or arrays
*
* \only_for_vectors
*/
template<typename Indices>
IndexedView_or_VectorBlock
operator()(const Indices& indices);
#endif // EIGEN_PARSED_BY_DOXYGEN

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
// This file is a base class plugin containing matrix specifics coefficient wise functions.
/** \returns an expression of the Schur product (coefficient wise product) of *this and \a other
*
* Example: \include MatrixBase_cwiseProduct.cpp
* Output: \verbinclude MatrixBase_cwiseProduct.out
*
* \sa class CwiseBinaryOp, cwiseAbs2
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,product)
cwiseProduct(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,product)(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise == operator of *this and \a other
*
* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
* generally a far better idea to use a fuzzy comparison as provided by isApprox() and
* isMuchSmallerThan().
*
* Example: \include MatrixBase_cwiseEqual.cpp
* Output: \verbinclude MatrixBase_cwiseEqual.out
*
* \sa cwiseNotEqual(), isApprox(), isMuchSmallerThan()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
inline const CwiseBinaryOp<numext::equal_to<Scalar>, const Derived, const OtherDerived>
cwiseEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<numext::equal_to<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise != operator of *this and \a other
*
* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
* generally a far better idea to use a fuzzy comparison as provided by isApprox() and
* isMuchSmallerThan().
*
* Example: \include MatrixBase_cwiseNotEqual.cpp
* Output: \verbinclude MatrixBase_cwiseNotEqual.out
*
* \sa cwiseEqual(), isApprox(), isMuchSmallerThan()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
inline const CwiseBinaryOp<numext::not_equal_to<Scalar>, const Derived, const OtherDerived>
cwiseNotEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<numext::not_equal_to<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise min of *this and \a other
*
* Example: \include MatrixBase_cwiseMin.cpp
* Output: \verbinclude MatrixBase_cwiseMin.out
*
* \sa class CwiseBinaryOp, max()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar,Scalar>, const Derived, const OtherDerived>
cwiseMin(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<internal::scalar_min_op<Scalar,Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise min of *this and scalar \a other
*
* \sa class CwiseBinaryOp, min()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar,Scalar>, const Derived, const ConstantReturnType>
cwiseMin(const Scalar &other) const
{
return cwiseMin(Derived::Constant(rows(), cols(), other));
}
/** \returns an expression of the coefficient-wise max of *this and \a other
*
* Example: \include MatrixBase_cwiseMax.cpp
* Output: \verbinclude MatrixBase_cwiseMax.out
*
* \sa class CwiseBinaryOp, min()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar,Scalar>, const Derived, const OtherDerived>
cwiseMax(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<internal::scalar_max_op<Scalar,Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
/** \returns an expression of the coefficient-wise max of *this and scalar \a other
*
* \sa class CwiseBinaryOp, min()
*/
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar,Scalar>, const Derived, const ConstantReturnType>
cwiseMax(const Scalar &other) const
{
return cwiseMax(Derived::Constant(rows(), cols(), other));
}
/** \returns an expression of the coefficient-wise quotient of *this and \a other
*
* Example: \include MatrixBase_cwiseQuotient.cpp
* Output: \verbinclude MatrixBase_cwiseQuotient.out
*
* \sa class CwiseBinaryOp, cwiseProduct(), cwiseInverse()
*/
template<typename OtherDerived>
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>
cwiseQuotient(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
{
return CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
}
typedef CwiseBinaryOp<internal::scalar_cmp_op<Scalar,Scalar,internal::cmp_EQ>, const Derived, const ConstantReturnType> CwiseScalarEqualReturnType;
/** \returns an expression of the coefficient-wise == operator of \c *this and a scalar \a s
*
* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
* generally a far better idea to use a fuzzy comparison as provided by isApprox() and
* isMuchSmallerThan().
*
* \sa cwiseEqual(const MatrixBase<OtherDerived> &) const
*/
EIGEN_DEVICE_FUNC
inline const CwiseScalarEqualReturnType
cwiseEqual(const Scalar& s) const
{
return CwiseScalarEqualReturnType(derived(), Derived::Constant(rows(), cols(), s), internal::scalar_cmp_op<Scalar,Scalar,internal::cmp_EQ>());
}

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
// This file is included into the body of the base classes supporting matrix specific coefficient-wise functions.
// This include MatrixBase and SparseMatrixBase.
typedef CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived> CwiseAbsReturnType;
typedef CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived> CwiseAbs2ReturnType;
typedef CwiseUnaryOp<internal::scalar_arg_op<Scalar>, const Derived> CwiseArgReturnType;
typedef CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived> CwiseSqrtReturnType;
typedef CwiseUnaryOp<internal::scalar_sign_op<Scalar>, const Derived> CwiseSignReturnType;
typedef CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived> CwiseInverseReturnType;
/// \returns an expression of the coefficient-wise absolute value of \c *this
///
/// Example: \include MatrixBase_cwiseAbs.cpp
/// Output: \verbinclude MatrixBase_cwiseAbs.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseAbs,absolute value)
///
/// \sa cwiseAbs2()
///
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseAbsReturnType
cwiseAbs() const { return CwiseAbsReturnType(derived()); }
/// \returns an expression of the coefficient-wise squared absolute value of \c *this
///
/// Example: \include MatrixBase_cwiseAbs2.cpp
/// Output: \verbinclude MatrixBase_cwiseAbs2.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseAbs2,squared absolute value)
///
/// \sa cwiseAbs()
///
EIGEN_DEVICE_FUNC
EIGEN_STRONG_INLINE const CwiseAbs2ReturnType
cwiseAbs2() const { return CwiseAbs2ReturnType(derived()); }
/// \returns an expression of the coefficient-wise square root of *this.
///
/// Example: \include MatrixBase_cwiseSqrt.cpp
/// Output: \verbinclude MatrixBase_cwiseSqrt.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseSqrt,square-root)
///
/// \sa cwisePow(), cwiseSquare()
///
EIGEN_DEVICE_FUNC
inline const CwiseSqrtReturnType
cwiseSqrt() const { return CwiseSqrtReturnType(derived()); }
/// \returns an expression of the coefficient-wise signum of *this.
///
/// Example: \include MatrixBase_cwiseSign.cpp
/// Output: \verbinclude MatrixBase_cwiseSign.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseSign,sign function)
///
EIGEN_DEVICE_FUNC
inline const CwiseSignReturnType
cwiseSign() const { return CwiseSignReturnType(derived()); }
/// \returns an expression of the coefficient-wise inverse of *this.
///
/// Example: \include MatrixBase_cwiseInverse.cpp
/// Output: \verbinclude MatrixBase_cwiseInverse.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseInverse,inverse)
///
/// \sa cwiseProduct()
///
EIGEN_DEVICE_FUNC
inline const CwiseInverseReturnType
cwiseInverse() const { return CwiseInverseReturnType(derived()); }
/// \returns an expression of the coefficient-wise phase angle of \c *this
///
/// Example: \include MatrixBase_cwiseArg.cpp
/// Output: \verbinclude MatrixBase_cwiseArg.out
///
EIGEN_DOC_UNARY_ADDONS(cwiseArg,arg)
EIGEN_DEVICE_FUNC
inline const CwiseArgReturnType
cwiseArg() const { return CwiseArgReturnType(derived()); }

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#ifdef EIGEN_PARSED_BY_DOXYGEN
/// \returns an expression of \c *this with reshaped sizes.
///
/// \param nRows the number of rows in the reshaped expression, specified at either run-time or compile-time, or AutoSize
/// \param nCols the number of columns in the reshaped expression, specified at either run-time or compile-time, or AutoSize
/// \tparam Order specifies whether the coefficients should be processed in column-major-order (ColMajor), in row-major-order (RowMajor),
/// or follows the \em natural order of the nested expression (AutoOrder). The default is ColMajor.
/// \tparam NRowsType the type of the value handling the number of rows, typically Index.
/// \tparam NColsType the type of the value handling the number of columns, typically Index.
///
/// Dynamic size example: \include MatrixBase_reshaped_int_int.cpp
/// Output: \verbinclude MatrixBase_reshaped_int_int.out
///
/// The number of rows \a nRows and columns \a nCols can also be specified at compile-time by passing Eigen::fix<N>,
/// or Eigen::fix<N>(n) as arguments. In the later case, \c n plays the role of a runtime fallback value in case \c N equals Eigen::Dynamic.
/// Here is an example with a fixed number of rows and columns:
/// \include MatrixBase_reshaped_fixed.cpp
/// Output: \verbinclude MatrixBase_reshaped_fixed.out
///
/// Finally, one of the sizes parameter can be automatically deduced from the other one by passing AutoSize as in the following example:
/// \include MatrixBase_reshaped_auto.cpp
/// Output: \verbinclude MatrixBase_reshaped_auto.out
/// AutoSize does preserve compile-time sizes when possible, i.e., when the sizes of the input are known at compile time \b and
/// that the other size is passed at compile-time using Eigen::fix<N> as above.
///
/// \sa class Reshaped, fix, fix<N>(int)
///
template<int Order = ColMajor, typename NRowsType, typename NColsType>
EIGEN_DEVICE_FUNC
inline Reshaped<Derived,...>
reshaped(NRowsType nRows, NColsType nCols);
/// This is the const version of reshaped(NRowsType,NColsType).
template<int Order = ColMajor, typename NRowsType, typename NColsType>
EIGEN_DEVICE_FUNC
inline const Reshaped<const Derived,...>
reshaped(NRowsType nRows, NColsType nCols) const;
/// \returns an expression of \c *this with columns (or rows) stacked to a linear column vector
///
/// \tparam Order specifies whether the coefficients should be processed in column-major-order (ColMajor), in row-major-order (RowMajor),
/// or follows the \em natural order of the nested expression (AutoOrder). The default is ColMajor.
///
/// This overloads is essentially a shortcut for `A.reshaped<Order>(AutoSize,fix<1>)`.
///
/// - If `Order==ColMajor` (the default), then it returns a column-vector from the stacked columns of \c *this.
/// - If `Order==RowMajor`, then it returns a column-vector from the stacked rows of \c *this.
/// - If `Order==AutoOrder`, then it returns a column-vector with elements stacked following the storage order of \c *this.
/// This mode is the recommended one when the particular ordering of the element is not relevant.
///
/// Example:
/// \include MatrixBase_reshaped_to_vector.cpp
/// Output: \verbinclude MatrixBase_reshaped_to_vector.out
///
/// If you want more control, you can still fall back to reshaped(NRowsType,NColsType).
///
/// \sa reshaped(NRowsType,NColsType), class Reshaped
///
template<int Order = ColMajor>
EIGEN_DEVICE_FUNC
inline Reshaped<Derived,...>
reshaped();
/// This is the const version of reshaped().
template<int Order = ColMajor>
EIGEN_DEVICE_FUNC
inline const Reshaped<const Derived,...>
reshaped() const;
#else
// This file is automatically included twice to generate const and non-const versions
#ifndef EIGEN_RESHAPED_METHOD_2ND_PASS
#define EIGEN_RESHAPED_METHOD_CONST const
#else
#define EIGEN_RESHAPED_METHOD_CONST
#endif
#ifndef EIGEN_RESHAPED_METHOD_2ND_PASS
// This part is included once
#endif
template<typename NRowsType, typename NColsType>
EIGEN_DEVICE_FUNC
inline Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,
internal::get_compiletime_reshape_size<NRowsType,NColsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_size<NColsType,NRowsType,SizeAtCompileTime>::value>
reshaped(NRowsType nRows, NColsType nCols) EIGEN_RESHAPED_METHOD_CONST
{
return Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,
internal::get_compiletime_reshape_size<NRowsType,NColsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_size<NColsType,NRowsType,SizeAtCompileTime>::value>
(derived(),
internal::get_runtime_reshape_size(nRows,internal::get_runtime_value(nCols),size()),
internal::get_runtime_reshape_size(nCols,internal::get_runtime_value(nRows),size()));
}
template<int Order, typename NRowsType, typename NColsType>
EIGEN_DEVICE_FUNC
inline Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,
internal::get_compiletime_reshape_size<NRowsType,NColsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_size<NColsType,NRowsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_order<Flags,Order>::value>
reshaped(NRowsType nRows, NColsType nCols) EIGEN_RESHAPED_METHOD_CONST
{
return Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,
internal::get_compiletime_reshape_size<NRowsType,NColsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_size<NColsType,NRowsType,SizeAtCompileTime>::value,
internal::get_compiletime_reshape_order<Flags,Order>::value>
(derived(),
internal::get_runtime_reshape_size(nRows,internal::get_runtime_value(nCols),size()),
internal::get_runtime_reshape_size(nCols,internal::get_runtime_value(nRows),size()));
}
// Views as linear vectors
EIGEN_DEVICE_FUNC
inline Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,SizeAtCompileTime,1>
reshaped() EIGEN_RESHAPED_METHOD_CONST
{
return Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived,SizeAtCompileTime,1>(derived(),size(),1);
}
template<int Order>
EIGEN_DEVICE_FUNC
inline Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived, SizeAtCompileTime, 1,
internal::get_compiletime_reshape_order<Flags,Order>::value>
reshaped() EIGEN_RESHAPED_METHOD_CONST
{
EIGEN_STATIC_ASSERT(Order==RowMajor || Order==ColMajor || Order==AutoOrder, INVALID_TEMPLATE_PARAMETER);
return Reshaped<EIGEN_RESHAPED_METHOD_CONST Derived, SizeAtCompileTime, 1,
internal::get_compiletime_reshape_order<Flags,Order>::value>
(derived(), size(), 1);
}
#undef EIGEN_RESHAPED_METHOD_CONST
#ifndef EIGEN_RESHAPED_METHOD_2ND_PASS
#define EIGEN_RESHAPED_METHOD_2ND_PASS
#include "ReshapedMethods.h"
#undef EIGEN_RESHAPED_METHOD_2ND_PASS
#endif
#endif // EIGEN_PARSED_BY_DOXYGEN