eigen.h

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#ifndef LMMC_EIGEN_H
#define LMMC_EIGEN_H
 
#include "lmmc/dense.h"
#include "lmmc/status.h"
 
#ifdef __cplusplus
extern "C" {
#endif

typedef struct {
    lmmc_vec_t eigenvalues;    
    lmmc_mat_t eigenvectors;   
} lmmc_eigen_sym_result_t;

typedef struct {
    lmmc_vec_t real_parts;     
    lmmc_vec_t imag_parts;     
} lmmc_eigen_gen_result_t;

typedef struct {
    lmmc_vec_t real_parts;      
    lmmc_vec_t imag_parts;      
    lmmc_mat_t vectors_real;    
    lmmc_mat_t vectors_imag;    
} lmmc_eigen_gen_full_result_t;

typedef struct {
    lmmc_mat_t U;       
    lmmc_vec_t sigma;   
    lmmc_mat_t Vt;      
} lmmc_svd_result_t;

lmmc_status_t lmmc_eigen_symmetric(
    const lmmc_mat_t* a,
    lmmc_eigen_sym_result_t* out_result
);

lmmc_status_t lmmc_eigen_general(
    const lmmc_mat_t* a,
    lmmc_eigen_gen_result_t* out_result
);

lmmc_status_t lmmc_svd(
    const lmmc_mat_t* a,
    lmmc_svd_result_t* out_result
);

lmmc_status_t lmmc_pinv(
    const lmmc_mat_t* a,
    lmmc_real_t tol,
    lmmc_mat_t* out_pinv
);

lmmc_status_t lmmc_cond(
    const lmmc_mat_t* a,
    lmmc_real_t* out_cond
);

lmmc_status_t lmmc_eigen_general_full(
    const lmmc_mat_t* a,
    lmmc_eigen_gen_full_result_t* out_result
);

void lmmc_eigen_sym_result_destroy(lmmc_eigen_sym_result_t* result);
void lmmc_eigen_gen_result_destroy(lmmc_eigen_gen_result_t* result);
void lmmc_eigen_gen_full_result_destroy(lmmc_eigen_gen_full_result_t* result);
void lmmc_svd_result_destroy(lmmc_svd_result_t* result);
 
#ifdef __cplusplus
}
#endif
 
#endif