49 lines
1.7 KiB
C
49 lines
1.7 KiB
C
#ifndef LINALG_H
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#define LINALG_H
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#include <stdio.h>
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#include <stdlib.h>
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#include <stdarg.h>
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#include <gsl/gsl_math.h>
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#include <gsl/gsl_eigen.h>
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#include <gsl/gsl_blas.h>
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#include <gsl/gsl_linalg.h>
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#include <memory.h>
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#define ERROR(condition, msg, ...) if(condition){fprintf(stderr, msg, ##__VA_ARGS__); exit(1);}
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#define FCMP(x, y) gsl_fcmp(x, y, 1e-10)
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typedef struct _workspace {
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int n;
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gsl_eigen_nonsymmv_workspace *work_nonsymmv;
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gsl_eigen_symmv_workspace *work_symmv;
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gsl_vector *work_sv;
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gsl_vector_complex *eval_complex;
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gsl_matrix_complex *evec_complex;
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gsl_vector *eval_real;
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gsl_matrix *evec_real;
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gsl_matrix *tmp;
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gsl_permutation *permutation;
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gsl_matrix *stack[20];
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} workspace_t;
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workspace_t *workspace_alloc(int n);
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void workspace_free(workspace_t *workspace);
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void invert(gsl_matrix *in, gsl_matrix *out, workspace_t *ws);
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void conjugate(gsl_matrix *in, gsl_matrix *conjugator, gsl_matrix *out, workspace_t *ws);
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void multiply(gsl_matrix *a, gsl_matrix *b, gsl_matrix *out);
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void multiply_right(gsl_matrix *a, gsl_matrix *b, workspace_t *ws);
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void multiply_left(gsl_matrix *a, gsl_matrix *b, workspace_t *ws);
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void multiply_many(workspace_t *ws, gsl_matrix *out, int n, ...);
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void cartan_calc(gsl_matrix *g, double *mu, workspace_t *ws);
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void initialize(gsl_matrix *g, double *data, int x, int y);
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void rotation_matrix(gsl_matrix *g, double *vector);
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int jordan_calc(gsl_matrix *g, double *mu, workspace_t *ws);
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double trace(gsl_matrix *g);
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double determinant(gsl_matrix *g, workspace_t *ws);
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int eigenvectors(gsl_matrix *g, gsl_matrix *evec, workspace_t *ws);
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void eigenvectors_symm(gsl_matrix *g, gsl_vector *eval, gsl_matrix *evec, workspace_t *ws);
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int diagonalize_symmetric_form(gsl_matrix *A, gsl_matrix *cob, workspace_t *ws);
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#endif
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