mirror of
https://gitlab.com/libeigen/eigen.git
synced 2026-04-10 11:34:33 +08:00
Compare commits
26 Commits
| Author | SHA1 | Date | |
|---|---|---|---|
|
|
8f1ce52e76 | ||
|
|
268df314f1 | ||
|
|
522022ebfc | ||
|
|
d048d7e712 | ||
|
|
cd3c8a9404 | ||
|
|
ec8f37ac75 | ||
|
|
fc7f39980c | ||
|
|
70af59c455 | ||
|
|
f4dd399499 | ||
|
|
153557527e | ||
|
|
6aad7f80ff | ||
|
|
e3f6c3115a | ||
|
|
a2c838ff8f | ||
|
|
1e2f56c35a | ||
|
|
808c4e9581 | ||
|
|
65331c3884 | ||
|
|
e158cdd61d | ||
|
|
c64ca6870e | ||
|
|
6a90f6c5f0 | ||
|
|
22dd13fdb9 | ||
|
|
5455d6fbe8 | ||
|
|
de693cf34a | ||
|
|
21c4e0802d | ||
|
|
241b9d34a7 | ||
|
|
9e15a6da2e | ||
|
|
3d365a75cd |
@@ -7,7 +7,7 @@ set(INCLUDE_INSTALL_DIR
|
||||
"The directory where we install the header files"
|
||||
FORCE)
|
||||
|
||||
set(EIGEN_VERSION_NUMBER "2.0.9")
|
||||
set(EIGEN_VERSION_NUMBER "2.0.10")
|
||||
set(EIGEN_VERSION "${EIGEN_VERSION_NUMBER}")
|
||||
|
||||
set(CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake)
|
||||
@@ -88,7 +88,7 @@ include_directories(${CMAKE_CURRENT_SOURCE_DIR} ${CMAKE_CURRENT_BINARY_DIR})
|
||||
if(EIGEN_BUILD_PKGCONFIG)
|
||||
configure_file(eigen2.pc.in eigen2.pc) # uses INCLUDE_INSTALL_DIR
|
||||
install(FILES ${CMAKE_CURRENT_BINARY_DIR}/eigen2.pc
|
||||
DESTINATION lib/pkgconfig
|
||||
DESTINATION share/pkgconfig
|
||||
)
|
||||
endif(EIGEN_BUILD_PKGCONFIG)
|
||||
|
||||
|
||||
@@ -222,7 +222,7 @@ class Block<MatrixType,BlockRows,BlockCols,PacketAccess,HasDirectAccess>
|
||||
|
||||
class InnerIterator;
|
||||
typedef typename ei_traits<Block>::AlignedDerivedType AlignedDerivedType;
|
||||
friend class Block<MatrixType,BlockRows,BlockCols,PacketAccess==AsRequested?ForceAligned:AsRequested,HasDirectAccess>;
|
||||
friend class Block<MatrixType,BlockRows,BlockCols,PacketAccess==int(AsRequested)?ForceAligned:AsRequested,HasDirectAccess>;
|
||||
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Block)
|
||||
|
||||
|
||||
@@ -25,6 +25,11 @@
|
||||
#ifndef EIGEN_MATRIX_H
|
||||
#define EIGEN_MATRIX_H
|
||||
|
||||
#ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
|
||||
# define EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED for(int i=0;i<base().size();++i) coeffRef(i)=Scalar(0);
|
||||
#else
|
||||
# define EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
#endif
|
||||
|
||||
/** \class Matrix
|
||||
*
|
||||
@@ -233,7 +238,14 @@ class Matrix
|
||||
&& (RowsAtCompileTime == Dynamic || RowsAtCompileTime == rows)
|
||||
&& (MaxColsAtCompileTime == Dynamic || MaxColsAtCompileTime >= cols)
|
||||
&& (ColsAtCompileTime == Dynamic || ColsAtCompileTime == cols));
|
||||
m_storage.resize(rows * cols, rows, cols);
|
||||
#ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
|
||||
int size = rows*cols;
|
||||
bool size_changed = size != this->size();
|
||||
m_storage.resize(size, rows, cols);
|
||||
if(size_changed) EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
#else
|
||||
m_storage.resize(rows*cols, rows, cols);
|
||||
#endif
|
||||
}
|
||||
|
||||
/** Resizes \c *this to a vector of length \a size
|
||||
@@ -243,10 +255,17 @@ class Matrix
|
||||
inline void resize(int size)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Matrix)
|
||||
ei_assert(SizeAtCompileTime == Dynamic || SizeAtCompileTime == size);
|
||||
#ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
|
||||
bool size_changed = size != this->size();
|
||||
#endif
|
||||
if(RowsAtCompileTime == 1)
|
||||
m_storage.resize(size, 1, size);
|
||||
else
|
||||
m_storage.resize(size, size, 1);
|
||||
#ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
|
||||
if(size_changed) EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
#endif
|
||||
}
|
||||
|
||||
/** Copies the value of the expression \a other into \c *this with automatic resizing.
|
||||
@@ -290,13 +309,14 @@ class Matrix
|
||||
EIGEN_STRONG_INLINE explicit Matrix() : m_storage()
|
||||
{
|
||||
_check_template_params();
|
||||
EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \internal */
|
||||
Matrix(ei_constructor_without_unaligned_array_assert)
|
||||
: m_storage(ei_constructor_without_unaligned_array_assert())
|
||||
{}
|
||||
{EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED}
|
||||
#endif
|
||||
|
||||
/** Constructs a vector or row-vector with given dimension. \only_for_vectors
|
||||
@@ -312,6 +332,7 @@ class Matrix
|
||||
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Matrix)
|
||||
ei_assert(dim > 0);
|
||||
ei_assert(SizeAtCompileTime == Dynamic || SizeAtCompileTime == dim);
|
||||
EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
}
|
||||
|
||||
/** This constructor has two very different behaviors, depending on the type of *this.
|
||||
@@ -337,6 +358,7 @@ class Matrix
|
||||
{
|
||||
ei_assert(x > 0 && (RowsAtCompileTime == Dynamic || RowsAtCompileTime == x)
|
||||
&& y > 0 && (ColsAtCompileTime == Dynamic || ColsAtCompileTime == y));
|
||||
EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
|
||||
}
|
||||
}
|
||||
/** constructs an initialized 2D vector with given coefficients */
|
||||
@@ -402,9 +424,10 @@ class Matrix
|
||||
void swap(const MatrixBase<OtherDerived>& other);
|
||||
|
||||
/** \name Map
|
||||
* These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
|
||||
* while the AlignedMap() functions return aligned Map objects and thus should be called only with 16-byte-aligned
|
||||
* \a data pointers.
|
||||
* These are convenience functions returning Map objects.
|
||||
*
|
||||
* \warning Do not use MapAligned in the Eigen 2.0. Mapping aligned arrays will be fully
|
||||
* supported in Eigen 3.0 (already implemented in the development branch)
|
||||
*
|
||||
* \see class Map
|
||||
*/
|
||||
|
||||
@@ -136,12 +136,6 @@ template<typename Derived> class MatrixBase
|
||||
*/
|
||||
};
|
||||
|
||||
/** Default constructor. Just checks at compile-time for self-consistency of the flags. */
|
||||
MatrixBase()
|
||||
{
|
||||
ei_assert(ei_are_flags_consistent<Flags>::ret);
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** This is the "real scalar" type; if the \a Scalar type is already real numbers
|
||||
* (e.g. int, float or double) then \a RealScalar is just the same as \a Scalar. If
|
||||
@@ -165,7 +159,7 @@ template<typename Derived> class MatrixBase
|
||||
inline int size() const { return rows() * cols(); }
|
||||
/** \returns the number of nonzero coefficients which is in practice the number
|
||||
* of stored coefficients. */
|
||||
inline int nonZeros() const { return derived.nonZeros(); }
|
||||
inline int nonZeros() const { return size(); }
|
||||
/** \returns true if either the number of rows or the number of columns is equal to 1.
|
||||
* In other words, this function returns
|
||||
* \code rows()==1 || cols()==1 \endcode
|
||||
@@ -627,6 +621,24 @@ template<typename Derived> class MatrixBase
|
||||
#ifdef EIGEN_MATRIXBASE_PLUGIN
|
||||
#include EIGEN_MATRIXBASE_PLUGIN
|
||||
#endif
|
||||
|
||||
protected:
|
||||
/** Default constructor. Do nothing. */
|
||||
MatrixBase()
|
||||
{
|
||||
/* Just checks for self-consistency of the flags.
|
||||
* Only do it when debugging Eigen, as this borders on paranoiac and could slow compilation down
|
||||
*/
|
||||
#ifdef EIGEN_INTERNAL_DEBUGGING
|
||||
EIGEN_STATIC_ASSERT(ei_are_flags_consistent<Flags>::ret,
|
||||
INVALID_MATRIXBASE_TEMPLATE_PARAMETERS)
|
||||
#endif
|
||||
}
|
||||
|
||||
private:
|
||||
explicit MatrixBase(int);
|
||||
MatrixBase(int,int);
|
||||
template<typename OtherDerived> explicit MatrixBase(const MatrixBase<OtherDerived>&);
|
||||
};
|
||||
|
||||
#endif // EIGEN_MATRIXBASE_H
|
||||
|
||||
@@ -69,7 +69,6 @@ template<typename MatrixType> class Transpose
|
||||
|
||||
inline int rows() const { return m_matrix.cols(); }
|
||||
inline int cols() const { return m_matrix.rows(); }
|
||||
inline int nonZeros() const { return m_matrix.nonZeros(); }
|
||||
inline int stride(void) const { return m_matrix.stride(); }
|
||||
|
||||
inline Scalar& coeffRef(int row, int col)
|
||||
|
||||
@@ -114,9 +114,15 @@ template<> EIGEN_STRONG_INLINE void ei_pstoreu<float>(float* to, const __m128&
|
||||
template<> EIGEN_STRONG_INLINE void ei_pstoreu<double>(double* to, const __m128d& from) { _mm_storeu_pd(to, from); }
|
||||
template<> EIGEN_STRONG_INLINE void ei_pstoreu<int>(int* to, const __m128i& from) { _mm_storeu_si128(reinterpret_cast<__m128i*>(to), from); }
|
||||
|
||||
#ifdef _MSC_VER
|
||||
// this fix internal compilation error
|
||||
template<> EIGEN_STRONG_INLINE float ei_pfirst<__m128>(const __m128& a) { float x = _mm_cvtss_f32(a); return x; }
|
||||
#if defined(_MSC_VER) && (_MSC_VER <= 1500) && defined(_WIN64)
|
||||
// The temporary variable fixes an internal compilation error.
|
||||
// Direct of the struct members fixed bug #62.
|
||||
template<> EIGEN_STRONG_INLINE float ei_pfirst<__m128>(const __m128& a) { return a.m128_f32[0]; }
|
||||
template<> EIGEN_STRONG_INLINE double ei_pfirst<__m128d>(const __m128d& a) { return a.m128d_f64[0]; }
|
||||
template<> EIGEN_STRONG_INLINE int ei_pfirst<__m128i>(const __m128i& a) { int x = _mm_cvtsi128_si32(a); return x; }
|
||||
#elif defined(_MSC_VER) && (_MSC_VER <= 1500)
|
||||
// The temporary variable fixes an internal compilation error.
|
||||
template<> EIGEN_STRONG_INLINE float ei_pfirst<__m128>(const __m128& a) { float x = _mm_cvtss_f32(a); return x; }
|
||||
template<> EIGEN_STRONG_INLINE double ei_pfirst<__m128d>(const __m128d& a) { double x = _mm_cvtsd_f64(a); return x; }
|
||||
template<> EIGEN_STRONG_INLINE int ei_pfirst<__m128i>(const __m128i& a) { int x = _mm_cvtsi128_si32(a); return x; }
|
||||
#else
|
||||
|
||||
@@ -30,7 +30,7 @@
|
||||
|
||||
#define EIGEN_WORLD_VERSION 2
|
||||
#define EIGEN_MAJOR_VERSION 0
|
||||
#define EIGEN_MINOR_VERSION 9
|
||||
#define EIGEN_MINOR_VERSION 10
|
||||
|
||||
#define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
|
||||
(EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
|
||||
@@ -39,7 +39,7 @@
|
||||
// 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable 16 byte alignment on all
|
||||
// platforms where vectorization might be enabled. In theory we could always enable alignment, but it can be a cause of problems
|
||||
// on some platforms, so we just disable it in certain common platform (compiler+architecture combinations) to avoid these problems.
|
||||
#if defined(__GNUC__) && !(defined(__i386__) || defined(__x86_64__) || defined(__powerpc__) || defined(__ia64__))
|
||||
#if defined(__GNUC__) && !(defined(__i386__) || defined(__x86_64__) || defined(__powerpc__) || defined(__ppc__) || defined(__ia64__))
|
||||
#define EIGEN_GCC_AND_ARCH_DOESNT_WANT_ALIGNMENT 1
|
||||
#else
|
||||
#define EIGEN_GCC_AND_ARCH_DOESNT_WANT_ALIGNMENT 0
|
||||
|
||||
@@ -74,6 +74,7 @@
|
||||
THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES,
|
||||
THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES,
|
||||
INVALID_MATRIX_TEMPLATE_PARAMETERS,
|
||||
INVALID_MATRIXBASE_TEMPLATE_PARAMETERS,
|
||||
BOTH_MATRICES_MUST_HAVE_THE_SAME_STORAGE_ORDER,
|
||||
THIS_METHOD_IS_ONLY_FOR_DIAGONAL_MATRIX
|
||||
};
|
||||
|
||||
@@ -119,46 +119,54 @@ bool ei_compute_inverse_in_size4_case_helper(const MatrixType& matrix, MatrixTyp
|
||||
}
|
||||
|
||||
template<typename MatrixType>
|
||||
void ei_compute_inverse_in_size4_case(const MatrixType& matrix, MatrixType* result)
|
||||
void ei_compute_inverse_in_size4_case(const MatrixType& _matrix, MatrixType* result)
|
||||
{
|
||||
if(ei_compute_inverse_in_size4_case_helper(matrix, result))
|
||||
{
|
||||
// good ! The topleft 2x2 block was invertible, so the 2x2 blocks approach is successful.
|
||||
return;
|
||||
}
|
||||
else
|
||||
{
|
||||
// rare case: the topleft 2x2 block is not invertible (but the matrix itself is assumed to be).
|
||||
// since this is a rare case, we don't need to optimize it. We just want to handle it with little
|
||||
// additional code.
|
||||
MatrixType m(matrix);
|
||||
m.row(0).swap(m.row(2));
|
||||
m.row(1).swap(m.row(3));
|
||||
if(ei_compute_inverse_in_size4_case_helper(m, result))
|
||||
{
|
||||
// good, the topleft 2x2 block of m is invertible. Since m is different from matrix in that some
|
||||
// rows were permuted, the actual inverse of matrix is derived from the inverse of m by permuting
|
||||
// the corresponding columns.
|
||||
result->col(0).swap(result->col(2));
|
||||
result->col(1).swap(result->col(3));
|
||||
}
|
||||
else
|
||||
{
|
||||
// last possible case. Since matrix is assumed to be invertible, this last case has to work.
|
||||
// first, undo the swaps previously made
|
||||
m.row(0).swap(m.row(2));
|
||||
m.row(1).swap(m.row(3));
|
||||
// swap row 0 with the the row among 0 and 1 that has the biggest 2 first coeffs
|
||||
int swap0with = ei_abs(m.coeff(0,0))+ei_abs(m.coeff(0,1))>ei_abs(m.coeff(1,0))+ei_abs(m.coeff(1,1)) ? 0 : 1;
|
||||
m.row(0).swap(m.row(swap0with));
|
||||
// swap row 1 with the the row among 2 and 3 that has the biggest 2 first coeffs
|
||||
int swap1with = ei_abs(m.coeff(2,0))+ei_abs(m.coeff(2,1))>ei_abs(m.coeff(3,0))+ei_abs(m.coeff(3,1)) ? 2 : 3;
|
||||
m.row(1).swap(m.row(swap1with));
|
||||
ei_compute_inverse_in_size4_case_helper(m, result);
|
||||
result->col(1).swap(result->col(swap1with));
|
||||
result->col(0).swap(result->col(swap0with));
|
||||
}
|
||||
}
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
|
||||
// we will do row permutations on the matrix. This copy should have negligible cost.
|
||||
// if not, consider working in-place on the matrix (const-cast it, but then undo the permutations
|
||||
// to nevertheless honor constness)
|
||||
typename MatrixType::PlainMatrixType matrix(_matrix);
|
||||
|
||||
// let's extract from the 2 first colums a 2x2 block whose determinant is as big as possible.
|
||||
int good_row0, good_row1, good_i;
|
||||
Matrix<RealScalar,6,1> absdet;
|
||||
|
||||
// any 2x2 block with determinant above this threshold will be considered good enough.
|
||||
// The magic value 1e-1 here comes from experimentation. The bigger it is, the higher the precision,
|
||||
// the slower the computation. This value 1e-1 gives precision almost as good as the brutal cofactors
|
||||
// algorithm, both in average and in worst-case precision.
|
||||
RealScalar d = (matrix.col(0).squaredNorm()+matrix.col(1).squaredNorm()) * RealScalar(1e-1);
|
||||
#define ei_inv_size4_helper_macro(i,row0,row1) \
|
||||
absdet[i] = ei_abs(matrix.coeff(row0,0)*matrix.coeff(row1,1) \
|
||||
- matrix.coeff(row0,1)*matrix.coeff(row1,0)); \
|
||||
if(absdet[i] > d) { good_row0=row0; good_row1=row1; goto good; }
|
||||
ei_inv_size4_helper_macro(0,0,1)
|
||||
ei_inv_size4_helper_macro(1,0,2)
|
||||
ei_inv_size4_helper_macro(2,0,3)
|
||||
ei_inv_size4_helper_macro(3,1,2)
|
||||
ei_inv_size4_helper_macro(4,1,3)
|
||||
ei_inv_size4_helper_macro(5,2,3)
|
||||
|
||||
// no 2x2 block has determinant bigger than the threshold. So just take the one that
|
||||
// has the biggest determinant
|
||||
absdet.maxCoeff(&good_i);
|
||||
good_row0 = good_i <= 2 ? 0 : good_i <= 4 ? 1 : 2;
|
||||
good_row1 = good_i <= 2 ? good_i+1 : good_i <= 4 ? good_i-1 : 3;
|
||||
|
||||
// now good_row0 and good_row1 are correctly set
|
||||
good:
|
||||
|
||||
// do row permutations to move this 2x2 block to the top
|
||||
matrix.row(0).swap(matrix.row(good_row0));
|
||||
matrix.row(1).swap(matrix.row(good_row1));
|
||||
// now applying our helper function is numerically stable
|
||||
ei_compute_inverse_in_size4_case_helper(matrix, result);
|
||||
// Since we did row permutations on the original matrix, we need to do column permutations
|
||||
// in the reverse order on the inverse
|
||||
result->col(1).swap(result->col(good_row1));
|
||||
result->col(0).swap(result->col(good_row0));
|
||||
}
|
||||
|
||||
/***********************************************
|
||||
|
||||
@@ -229,17 +229,24 @@ Of course, fixed-size matrices can't be resized.
|
||||
|
||||
|
||||
\subsection TutorialMap Map
|
||||
Any memory buffer can be mapped as an Eigen expression:
|
||||
<table class="tutorial_code"><tr><td>
|
||||
Any memory buffer can be mapped as an Eigen expression using the Map() static method:
|
||||
\code
|
||||
std::vector<float> stlarray(10);
|
||||
Map<VectorXf>(&stlarray[0], stlarray.size()).setOnes();
|
||||
int data[4] = 1, 2, 3, 4;
|
||||
Matrix2i mat2x2(data);
|
||||
MatrixXi mat2x2 = Map<Matrix2i>(data);
|
||||
MatrixXi mat2x2 = Map<MatrixXi>(data,2,2);
|
||||
VectorXf::Map(&stlarray[0], stlarray.size()).squaredNorm();
|
||||
\endcode
|
||||
Here VectorXf::Map returns an object of class Map<VectorXf>, which behaves like a VectorXf except that it uses the existing array. You can write to this object, that will write to the existing array. You can also construct a named obtect to reuse it:
|
||||
\code
|
||||
float array[rows*cols];
|
||||
Map<MatrixXf> m(array,rows,cols);
|
||||
m = othermatrix1 * othermatrix2;
|
||||
m.eigenvalues();
|
||||
\endcode
|
||||
In the fixed-size case, no need to pass sizes:
|
||||
\code
|
||||
float array[9];
|
||||
Map<Matrix3d> m(array);
|
||||
Matrix3d::Map(array).setIdentity();
|
||||
\endcode
|
||||
</td></tr></table>
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -222,6 +222,8 @@ ei_add_test(sparse_product)
|
||||
ei_add_test(swap)
|
||||
ei_add_test(visitor)
|
||||
|
||||
ei_add_test(prec_inverse_4x4 ${EI_OFLAG})
|
||||
|
||||
# print a summary of the different options
|
||||
message("************************************************************")
|
||||
message("*** Eigen's unit tests configuration summary ***")
|
||||
|
||||
103
test/prec_inverse_4x4.cpp
Normal file
103
test/prec_inverse_4x4.cpp
Normal file
@@ -0,0 +1,103 @@
|
||||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// Eigen is free software; you can redistribute it and/or
|
||||
// modify it under the terms of the GNU Lesser General Public
|
||||
// License as published by the Free Software Foundation; either
|
||||
// version 3 of the License, or (at your option) any later version.
|
||||
//
|
||||
// Alternatively, you can redistribute it and/or
|
||||
// modify it under the terms of the GNU General Public License as
|
||||
// published by the Free Software Foundation; either version 2 of
|
||||
// the License, or (at your option) any later version.
|
||||
//
|
||||
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
|
||||
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
|
||||
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
|
||||
// GNU General Public License for more details.
|
||||
//
|
||||
// You should have received a copy of the GNU Lesser General Public
|
||||
// License and a copy of the GNU General Public License along with
|
||||
// Eigen. If not, see <http://www.gnu.org/licenses/>.
|
||||
|
||||
#include "main.h"
|
||||
#include <Eigen/LU>
|
||||
#include <algorithm>
|
||||
|
||||
template<typename T> std::string type_name() { return "other"; }
|
||||
template<> std::string type_name<float>() { return "float"; }
|
||||
template<> std::string type_name<double>() { return "double"; }
|
||||
template<> std::string type_name<int>() { return "int"; }
|
||||
template<> std::string type_name<std::complex<float> >() { return "complex<float>"; }
|
||||
template<> std::string type_name<std::complex<double> >() { return "complex<double>"; }
|
||||
template<> std::string type_name<std::complex<int> >() { return "complex<int>"; }
|
||||
|
||||
#define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
|
||||
|
||||
template<typename T> inline typename NumTraits<T>::Real epsilon()
|
||||
{
|
||||
return std::numeric_limits<typename NumTraits<T>::Real>::epsilon();
|
||||
}
|
||||
|
||||
template<typename MatrixType> void inverse_permutation_4x4()
|
||||
{
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
double error_max = 0.;
|
||||
Vector4i indices(0,1,2,3);
|
||||
for(int i = 0; i < 24; ++i)
|
||||
{
|
||||
MatrixType m = MatrixType::Zero();
|
||||
m(indices(0),0) = 1;
|
||||
m(indices(1),1) = 1;
|
||||
m(indices(2),2) = 1;
|
||||
m(indices(3),3) = 1;
|
||||
MatrixType inv = m.inverse();
|
||||
double error = double( (m*inv-MatrixType::Identity()).norm() / epsilon<Scalar>() );
|
||||
error_max = std::max(error_max, error);
|
||||
std::next_permutation(indices.data(),indices.data()+4);
|
||||
}
|
||||
std::cerr << "inverse_permutation_4x4, Scalar = " << type_name<Scalar>() << std::endl;
|
||||
EIGEN_DEBUG_VAR(error_max);
|
||||
VERIFY(error_max < 1. );
|
||||
}
|
||||
|
||||
template<typename MatrixType> void inverse_general_4x4(int repeat)
|
||||
{
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
double error_sum = 0., error_max = 0.;
|
||||
for(int i = 0; i < repeat; ++i)
|
||||
{
|
||||
MatrixType m;
|
||||
RealScalar absdet;
|
||||
do {
|
||||
m = MatrixType::Random();
|
||||
absdet = ei_abs(m.determinant());
|
||||
} while(absdet < 10 * epsilon<Scalar>());
|
||||
MatrixType inv = m.inverse();
|
||||
double error = double( (m*inv-MatrixType::Identity()).norm() * absdet / epsilon<Scalar>() );
|
||||
error_sum += error;
|
||||
error_max = std::max(error_max, error);
|
||||
}
|
||||
std::cerr << "inverse_general_4x4, Scalar = " << type_name<Scalar>() << std::endl;
|
||||
double error_avg = error_sum / repeat;
|
||||
EIGEN_DEBUG_VAR(error_avg);
|
||||
EIGEN_DEBUG_VAR(error_max);
|
||||
VERIFY(error_avg < (NumTraits<Scalar>::IsComplex ? 8.4 : 1.4) );
|
||||
VERIFY(error_max < (NumTraits<Scalar>::IsComplex ? 160.0 : 75.) );
|
||||
}
|
||||
|
||||
void test_prec_inverse_4x4()
|
||||
{
|
||||
CALL_SUBTEST((inverse_permutation_4x4<Matrix4f>()));
|
||||
CALL_SUBTEST(( inverse_general_4x4<Matrix4f>(200000 * g_repeat) ));
|
||||
|
||||
CALL_SUBTEST((inverse_permutation_4x4<Matrix<double,4,4,RowMajor> >()));
|
||||
CALL_SUBTEST(( inverse_general_4x4<Matrix<double,4,4,RowMajor> >(200000 * g_repeat) ));
|
||||
|
||||
CALL_SUBTEST((inverse_permutation_4x4<Matrix4cf>()));
|
||||
CALL_SUBTEST((inverse_general_4x4<Matrix4cf>(50000 * g_repeat)));
|
||||
}
|
||||
@@ -39,7 +39,7 @@
|
||||
# VERSION=opensuse-11.1
|
||||
# WORK_DIR=/home/gael/Coding/eigen2/cdash
|
||||
# # get the last version of the script
|
||||
# wget http://bitbucket.org/eigen/eigen2/raw/tip/test/testsuite.cmake -o $WORK_DIR/testsuite.cmake
|
||||
# wget http://bitbucket.org/eigen/eigen/raw/tip/test/testsuite.cmake -o $WORK_DIR/testsuite.cmake
|
||||
# COMMON="ctest -S $WORK_DIR/testsuite.cmake,EIGEN_WORK_DIR=$WORK_DIR,EIGEN_SITE=$SITE,EIGEN_MODE=$1,EIGEN_BUILD_STRING=$OS_VERSION-$ARCH"
|
||||
# $COMMON-gcc-3.4.6,EIGEN_CXX=g++-3.4
|
||||
# $COMMON-gcc-4.0.1,EIGEN_CXX=g++-4.0.1
|
||||
@@ -133,7 +133,7 @@ endif(NOT EIGEN_MODE)
|
||||
## mandatory variables (the default should be ok in most cases):
|
||||
|
||||
SET (CTEST_CVS_COMMAND "hg")
|
||||
SET (CTEST_CVS_CHECKOUT "${CTEST_CVS_COMMAND} clone -r 2.0 http://bitbucket.org/eigen/eigen2 \"${CTEST_SOURCE_DIRECTORY}\"")
|
||||
SET (CTEST_CVS_CHECKOUT "${CTEST_CVS_COMMAND} clone -r 2.0 http://bitbucket.org/eigen/eigen \"${CTEST_SOURCE_DIRECTORY}\"")
|
||||
|
||||
# which ctest command to use for running the dashboard
|
||||
SET (CTEST_COMMAND "${EIGEN_CMAKE_DIR}ctest -D ${EIGEN_MODE}")
|
||||
|
||||
Reference in New Issue
Block a user