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/*
    Genome-wide Efficient Mixed Model Association (GEMMA)
    Copyright (C) 2011-2017 Xiang Zhou

    This program is free software: 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 3 of the License, or
    (at your option) any later version.

    This program 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 General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program. If not, see <http://www.gnu.org/licenses/>.
*/

#ifndef __LAPACK_H__                
#define __LAPACK_H__

#include <vector>

using namespace std;

void lapack_float_cholesky_decomp (gsl_matrix_float *A);
void lapack_cholesky_decomp (gsl_matrix *A);
void lapack_float_cholesky_solve (gsl_matrix_float *A,
				  const gsl_vector_float *b,
				  gsl_vector_float *x);
void lapack_cholesky_solve (gsl_matrix *A, const gsl_vector *b, gsl_vector *x);
void lapack_sgemm (char *TransA, char *TransB, float alpha,
		   const gsl_matrix_float *A, const gsl_matrix_float *B,
		   float beta, gsl_matrix_float *C);
void lapack_dgemm (char *TransA, char *TransB, double alpha,
		   const gsl_matrix *A, const gsl_matrix *B,
		   double beta, gsl_matrix *C);
void lapack_float_eigen_symmv (gsl_matrix_float *A, gsl_vector_float *eval,
			       gsl_matrix_float *evec,
			       const size_t flag_largematrix);
void lapack_eigen_symmv (gsl_matrix *A, gsl_vector *eval, gsl_matrix *evec,
			 const size_t flag_largematrix);

double EigenDecomp (gsl_matrix *G, gsl_matrix *U, gsl_vector *eval,
		    const size_t flag_largematrix);
double EigenDecomp (gsl_matrix_float *G, gsl_matrix_float *U,
		    gsl_vector_float *eval, const size_t flag_largematrix);

double CholeskySolve(gsl_matrix *Omega, gsl_vector *Xty, gsl_vector *OiXty);
double CholeskySolve(gsl_matrix_float *Omega, gsl_vector_float *Xty,
		     gsl_vector_float *OiXty);

void LUDecomp (gsl_matrix *LU, gsl_permutation *p, int *signum);
void LUDecomp (gsl_matrix_float *LU, gsl_permutation *p, int *signum);
void LUInvert (const gsl_matrix *LU, const gsl_permutation *p,
	       gsl_matrix *inverse);
void LUInvert (const gsl_matrix_float *LU, const gsl_permutation *p,
	       gsl_matrix_float *inverse);
double LULndet (gsl_matrix *LU);
double LULndet (gsl_matrix_float *LU);
void LUSolve (const gsl_matrix *LU, const gsl_permutation *p,
	      const gsl_vector *b, gsl_vector *x);
void LUSolve (const gsl_matrix_float *LU, const gsl_permutation *p,
	      const gsl_vector_float *b, gsl_vector_float *x);

bool lapack_ddot(vector<double> &x, vector<double> &y, double &v);
bool lapack_sdot(vector<float> &x, vector<float> &y, double &v);

#endif