fix indentation
This commit is contained in:
Florian Stecker
parent
870ae7d2d2
commit
8146f0ee60
180
linalg.c
180
linalg.c
@ -15,75 +15,75 @@
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workspace_t *workspace_alloc(int n)
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{
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workspace_t *result = (workspace_t*)malloc(sizeof(workspace_t));
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result->n = n;
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result->work_nonsymmv = gsl_eigen_nonsymmv_alloc(n);
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result->work_symmv = gsl_eigen_symmv_alloc(n);
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result->work_sv = gsl_vector_alloc(n);
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result->eval_complex = gsl_vector_complex_alloc(n);
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result->evec_complex = gsl_matrix_complex_alloc(n, n);
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result->eval_real = gsl_vector_alloc(n);
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result->evec_real = gsl_matrix_alloc(n, n);
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result->permutation = gsl_permutation_alloc(n);
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workspace_t *result = (workspace_t*)malloc(sizeof(workspace_t));
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result->n = n;
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result->work_nonsymmv = gsl_eigen_nonsymmv_alloc(n);
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result->work_symmv = gsl_eigen_symmv_alloc(n);
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result->work_sv = gsl_vector_alloc(n);
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result->eval_complex = gsl_vector_complex_alloc(n);
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result->evec_complex = gsl_matrix_complex_alloc(n, n);
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result->eval_real = gsl_vector_alloc(n);
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result->evec_real = gsl_matrix_alloc(n, n);
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result->permutation = gsl_permutation_alloc(n);
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result->tmp_mat = malloc(MAX_TEMP_MATRICES*sizeof(gsl_matrix*));
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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result->tmp_mat[i] = gsl_matrix_alloc(3, 3);
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result->tmp_mat_used = 0;
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result->tmp_vec = malloc(MAX_TEMP_MATRICES*sizeof(gsl_vector*));
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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result->tmp_vec[i] = gsl_vector_alloc(3);
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result->tmp_vec_used = 0;
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return result;
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result->tmp_mat = malloc(MAX_TEMP_MATRICES*sizeof(gsl_matrix*));
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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result->tmp_mat[i] = gsl_matrix_alloc(3, 3);
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result->tmp_mat_used = 0;
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result->tmp_vec = malloc(MAX_TEMP_MATRICES*sizeof(gsl_vector*));
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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result->tmp_vec[i] = gsl_vector_alloc(3);
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result->tmp_vec_used = 0;
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return result;
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}
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void workspace_free(workspace_t *workspace)
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{
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gsl_eigen_nonsymmv_free(workspace->work_nonsymmv);
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gsl_eigen_symmv_free(workspace->work_symmv);
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gsl_vector_free(workspace->work_sv);
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gsl_vector_complex_free(workspace->eval_complex);
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gsl_matrix_complex_free(workspace->evec_complex);
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gsl_vector_free(workspace->eval_real);
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gsl_matrix_free(workspace->evec_real);
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gsl_permutation_free(workspace->permutation);
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gsl_eigen_nonsymmv_free(workspace->work_nonsymmv);
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gsl_eigen_symmv_free(workspace->work_symmv);
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gsl_vector_free(workspace->work_sv);
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gsl_vector_complex_free(workspace->eval_complex);
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gsl_matrix_complex_free(workspace->evec_complex);
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gsl_vector_free(workspace->eval_real);
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gsl_matrix_free(workspace->evec_real);
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gsl_permutation_free(workspace->permutation);
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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gsl_matrix_free(workspace->tmp_mat[i]);
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free(workspace->tmp_mat);
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for(int i = 0; i < MAX_TEMP_VECTORS; i++)
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gsl_vector_free(workspace->tmp_vec[i]);
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free(workspace->tmp_vec);
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for(int i = 0; i < MAX_TEMP_MATRICES; i++)
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gsl_matrix_free(workspace->tmp_mat[i]);
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free(workspace->tmp_mat);
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for(int i = 0; i < MAX_TEMP_VECTORS; i++)
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gsl_vector_free(workspace->tmp_vec[i]);
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free(workspace->tmp_vec);
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}
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/************************************************** basic operations ********************************************************/
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void invert(gsl_matrix *in, gsl_matrix *out, workspace_t *ws)
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{
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int s;
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gsl_matrix *tmp = getTempMatrix(ws);
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int s;
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gsl_matrix *tmp = getTempMatrix(ws);
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gsl_matrix_memcpy(tmp, in);
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gsl_linalg_LU_decomp(tmp, ws->permutation, &s);
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gsl_linalg_LU_invert(tmp, ws->permutation, out);
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gsl_matrix_memcpy(tmp, in);
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gsl_linalg_LU_decomp(tmp, ws->permutation, &s);
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gsl_linalg_LU_invert(tmp, ws->permutation, out);
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releaseTempMatrices(ws, 1);
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releaseTempMatrices(ws, 1);
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}
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void conjugate(gsl_matrix *in, gsl_matrix *conjugator, gsl_matrix *out, workspace_t *ws)
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{
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gsl_matrix *tmp = getTempMatrix(ws);
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gsl_matrix *tmp = getTempMatrix(ws);
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invert(conjugator, out, ws); // use out to temporarily store inverse conjugator
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, in, out, 0.0, tmp); // in * conjugator^{-1}
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, conjugator, tmp, 0.0, out);
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invert(conjugator, out, ws); // use out to temporarily store inverse conjugator
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, in, out, 0.0, tmp); // in * conjugator^{-1}
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, conjugator, tmp, 0.0, out);
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releaseTempMatrices(ws, 1);
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releaseTempMatrices(ws, 1);
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}
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void multiply(gsl_matrix *a, gsl_matrix *b, gsl_matrix *out)
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{
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, a, b, 0.0, out);
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gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, a, b, 0.0, out);
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}
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void multiply_right(gsl_matrix *a, gsl_matrix *b, workspace_t *ws)
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@ -105,7 +105,7 @@ 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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{
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va_list args;
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va_start(args, n);
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va_start(args, n);
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gsl_matrix_set_identity(out);
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@ -114,7 +114,7 @@ void multiply_many(workspace_t *ws, gsl_matrix *out, int n, ...)
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multiply_right(out, cur, ws);
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}
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va_end(args);
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va_end(args);
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}
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void cartan_calc(gsl_matrix *g, double *mu, workspace_t *ws)
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@ -132,69 +132,69 @@ 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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{
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gsl_matrix_view view = gsl_matrix_view_array(data, x, y);
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gsl_matrix_memcpy(g, &view.matrix);
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gsl_matrix_view view = gsl_matrix_view_array(data, x, y);
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gsl_matrix_memcpy(g, &view.matrix);
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}
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void rotation_matrix(gsl_matrix *g, double *vector)
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{
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double normalized[3];
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double norm = sqrt(vector[0]*vector[0] + vector[1]*vector[1] + vector[2]*vector[2]);
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for(int i = 0; i < 3; i++)
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normalized[i] = vector[i] / norm;
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gsl_matrix_set_identity(g);
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gsl_matrix_set(g, 0, 0, cos(norm));
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gsl_matrix_set(g, 0, 1, -sin(norm) * normalized[2]);
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gsl_matrix_set(g, 0, 2, +sin(norm) * normalized[1]);
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gsl_matrix_set(g, 1, 0, +sin(norm) * normalized[2]);
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gsl_matrix_set(g, 1, 1, cos(norm));
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gsl_matrix_set(g, 1, 2, -sin(norm) * normalized[0]);
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gsl_matrix_set(g, 2, 0, -sin(norm) * normalized[1]);
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gsl_matrix_set(g, 2, 1, +sin(norm) * normalized[0]);
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gsl_matrix_set(g, 2, 2, cos(norm));
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for(int i = 0; i < 3; i++)
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for(int j = 0; j < 3; j++)
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g->data[i * g->tda + j] += (1 - cos(norm)) * normalized[i] * normalized[j];
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double normalized[3];
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double norm = sqrt(vector[0]*vector[0] + vector[1]*vector[1] + vector[2]*vector[2]);
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for(int i = 0; i < 3; i++)
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normalized[i] = vector[i] / norm;
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gsl_matrix_set_identity(g);
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gsl_matrix_set(g, 0, 0, cos(norm));
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gsl_matrix_set(g, 0, 1, -sin(norm) * normalized[2]);
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gsl_matrix_set(g, 0, 2, +sin(norm) * normalized[1]);
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gsl_matrix_set(g, 1, 0, +sin(norm) * normalized[2]);
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gsl_matrix_set(g, 1, 1, cos(norm));
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gsl_matrix_set(g, 1, 2, -sin(norm) * normalized[0]);
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gsl_matrix_set(g, 2, 0, -sin(norm) * normalized[1]);
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gsl_matrix_set(g, 2, 1, +sin(norm) * normalized[0]);
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gsl_matrix_set(g, 2, 2, cos(norm));
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for(int i = 0; i < 3; i++)
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for(int j = 0; j < 3; j++)
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g->data[i * g->tda + j] += (1 - cos(norm)) * normalized[i] * normalized[j];
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}
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double trace(gsl_matrix *g)
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{
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return gsl_matrix_get(g, 0, 0) + gsl_matrix_get(g, 1, 1) + gsl_matrix_get(g, 2, 2);
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return gsl_matrix_get(g, 0, 0) + gsl_matrix_get(g, 1, 1) + gsl_matrix_get(g, 2, 2);
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}
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double determinant(gsl_matrix *g, workspace_t *ws)
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{
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int s;
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double result;
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gsl_matrix *tmp = getTempMatrix(ws);
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int s;
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double result;
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gsl_matrix *tmp = getTempMatrix(ws);
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gsl_matrix_memcpy(tmp, g);
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gsl_linalg_LU_decomp(tmp, ws->permutation, &s);
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result = gsl_linalg_LU_det(tmp, s);
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gsl_matrix_memcpy(tmp, g);
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gsl_linalg_LU_decomp(tmp, ws->permutation, &s);
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result = gsl_linalg_LU_det(tmp, s);
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releaseTempMatrices(ws, 1);
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return result;
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releaseTempMatrices(ws, 1);
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return result;
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}
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int jordan_calc(gsl_matrix *g, double *mu, workspace_t *ws)
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{
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gsl_eigen_nonsymmv_params(1, ws->work_nonsymmv);
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gsl_eigen_nonsymmv(g, ws->eval_complex, ws->evec_complex, ws->work_nonsymmv);
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gsl_eigen_nonsymmv_sort(ws->eval_complex, ws->evec_complex, GSL_EIGEN_SORT_ABS_DESC);
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gsl_eigen_nonsymmv_params(1, ws->work_nonsymmv);
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gsl_eigen_nonsymmv(g, ws->eval_complex, ws->evec_complex, ws->work_nonsymmv);
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gsl_eigen_nonsymmv_sort(ws->eval_complex, ws->evec_complex, GSL_EIGEN_SORT_ABS_DESC);
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int real = 1;
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for(int i = 0; i < 4; i++)
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if(FCMP(GSL_IMAG(gsl_vector_complex_get(ws->eval_complex, i)), 0) != 0)
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real = 0;
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int real = 1;
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for(int i = 0; i < 4; i++)
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if(FCMP(GSL_IMAG(gsl_vector_complex_get(ws->eval_complex, i)), 0) != 0)
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real = 0;
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if(!real)
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return 0; // non-real eigenvalues!
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if(!real)
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return 0; // non-real eigenvalues!
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for(int i = 0; i < ws->n - 1; i++) {
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mu[i] = log(GSL_REAL(gsl_vector_complex_get(ws->eval_complex, i)) / GSL_REAL(gsl_vector_complex_get(ws->eval_complex, i+1)));
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}
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for(int i = 0; i < ws->n - 1; i++) {
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mu[i] = log(GSL_REAL(gsl_vector_complex_get(ws->eval_complex, i)) / GSL_REAL(gsl_vector_complex_get(ws->eval_complex, i+1)));
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}
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return 1;
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return 1;
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}
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int eigenvectors(gsl_matrix *g, gsl_matrix *evec_real, workspace_t *ws)
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@ -218,8 +218,8 @@ int eigenvectors(gsl_matrix *g, gsl_matrix *evec_real, workspace_t *ws)
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goto eigenvectors_out;
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for(int i = 0; i < ws->n; i++)
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for(int j = 0; j < ws->n; j++)
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gsl_matrix_set(evec_real, i, j, GSL_REAL(gsl_matrix_complex_get(ws->evec_complex, i, j)));
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for(int j = 0; j < ws->n; j++)
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gsl_matrix_set(evec_real, i, j, GSL_REAL(gsl_matrix_complex_get(ws->evec_complex, i, j)));
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success = 1;
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