如何在 Ubuntu 下的 Eigen3 中使用 CholmodSupport

Question

我做了这么一个小例子：

solver.h

#pragma once

#include <Eigen/Dense>
#include <Eigen/Sparse>
#include <Eigen/CholmodSupport>

typedef Eigen::SparseMatrix<double> SpMat;

class UseCholmodSolver
{
    public:
        UseCholmodSolver() {}
        ~UseCholmodSolver() {}
    private:
        Eigen::CholmodSupernodalLLT<SpMat> cholmod;
};

solver.cpp

#include "solver.h"

main.cpp

#include "solver.h"

int main()
{
    return 0;
}

生成文件

CXXFLAGS=-g -O2 -Wall -DNDEBUG -I./ext/eigen -I/usr/include/suitesparse
CXX=g++

all: t1
clean:
    rm -f *.o main

main.o: main.cpp solver.h
solver.o: solver.cpp solver.h

t1: main.o
    $(CXX) main.o -o main -lcholmod
t2: main.o solver.o
    $(CXX) main.o solver.o -o main -lcholmod

当我执行"make t1"时，一切正常。但是，当我键入"make t2"时，出现重定义错误：

g++ main.o solver.o -o main -lcholmod
solver.o: In function `int Eigen::internal::cm_start<long>(cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:177: multiple definition of `int Eigen::internal::cm_start<long>(cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:177: first defined here
solver.o: In function `int Eigen::internal::cm_finish<long>(cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:178: multiple definition of `int Eigen::internal::cm_finish<long>(cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:178: first defined here
solver.o: In function `int Eigen::internal::cm_free_factor<long>(cholmod_factor_struct*&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:180: multiple definition of `int Eigen::internal::cm_free_factor<long>(cholmod_factor_struct*&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:180: first defined here
solver.o: In function `int Eigen::internal::cm_free_dense<long>(cholmod_dense_struct*&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:181: multiple definition of `int Eigen::internal::cm_free_dense<long>(cholmod_dense_struct*&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:181: first defined here
solver.o: In function `int Eigen::internal::cm_free_sparse<long>(cholmod_sparse_struct*&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:182: multiple definition of `int Eigen::internal::cm_free_sparse<long>(cholmod_sparse_struct*&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:182: first defined here
solver.o: In function `cholmod_factor_struct* Eigen::internal::cm_analyze<long>(cholmod_sparse_struct&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:184: multiple definition of `cholmod_factor_struct* Eigen::internal::cm_analyze<long>(cholmod_sparse_struct&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:184: first defined here
solver.o: In function `cholmod_dense_struct* Eigen::internal::cm_solve<long>(int, cholmod_factor_struct&, cholmod_dense_struct&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:187: multiple definition of `cholmod_dense_struct* Eigen::internal::cm_solve<long>(int, cholmod_factor_struct&, cholmod_dense_struct&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:187: first defined here
solver.o: In function `cholmod_sparse_struct* Eigen::internal::cm_spsolve<long>(int, cholmod_factor_struct&, cholmod_sparse_struct&, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:190: multiple definition of `cholmod_sparse_struct* Eigen::internal::cm_spsolve<long>(int, cholmod_factor_struct&, cholmod_sparse_struct&, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:190: first defined here
solver.o: In function `int Eigen::internal::cm_factorize_p<long>(cholmod_sparse_struct*, double*, long*, unsigned long, cholmod_factor_struct*, cholmod_common_struct&)':
/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:195: multiple definition of `int Eigen::internal::cm_factorize_p<long>(cholmod_sparse_struct*, double*, long*, unsigned long, cholmod_factor_struct*, cholmod_common_struct&)'
main.o:/home/xiang/Code/testEigen/./ext/eigen/Eigen/src/CholmodSupport/CholmodSupport.h:195: first defined here
collect2: error: ld returned 1 exit status
Makefile:14: recipe for target 't2' failed
make: *** [t2] Error 1

看来原因是 "CholmodSupport.h" 中的 "long" 类型专用模板函数。有解决此问题的想法吗？

Answer 1

Eigen 的开发分支中的 CholmodSupport 有问题，我刚刚在这里修复了这个问题： https://bitbucket.org/eigen/eigen/commits/5ecddbf9fae7f5a4d4e587b8809d9287306885d3

问题是某些辅助函数（用于委托给适当的内部 cholmod 函数）没有标记 inline，因此在不同的编译单元中编译时有多个定义。

对于 Eigen 3.3 和 Eigen 3.2，您的最小示例应该可以正常工作。

如何在 Ubuntu 下的 Eigen3 中使用 CholmodSupport

How to use CholmodSupport in Eigen3 under Ubuntu

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