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programmer's documentation
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#include "cs_defs.h"
#include <assert.h>
#include <errno.h>
#include <stdio.h>
#include <stdarg.h>
#include <string.h>
#include <float.h>
#include <mpi.h>
#include "bft_error.h"
#include "bft_mem.h"
#include "cs_math.h"
Functions | |
void | cs_f_math_sym_33_inv_cramer (const cs_real_t s[6], cs_real_t sout[6]) |
void | cs_f_math_sym_33_product (const cs_real_t s1[6], const cs_real_t s2[6], cs_real_t sout[6]) |
void | cs_f_math_reduce_sym_prod_33_to_66 (const cs_real_t s[3][3], cs_real_t sout[6][6]) |
void | cs_math_set_machine_epsilon (void) |
Compute the value related to the machine precision. More... | |
double | cs_math_get_machine_epsilon (void) |
Get the value related to the machine precision. More... | |
void | cs_math_sym_33_eigen (const cs_real_t m[6], cs_real_t eig_vals[3]) |
Compute all eigenvalues of a 3x3 symmetric matrix. More... | |
void | cs_math_33_eigen (const cs_real_t m[3][3], cs_real_t *eig_ratio, cs_real_t *eig_max) |
Compute max/min eigenvalues ratio and max. eigenvalue of a 3x3 symmetric matrix. More... | |
void | cs_math_3_length_unitv (const cs_real_t xa[3], const cs_real_t xb[3], cs_real_t *len, cs_real_3_t unitv) |
Compute the length (euclidien norm) between two points xa and xb in a cartesian coordinate system of dimension 3. More... | |
double | cs_math_surftri (const cs_real_t xv[3], const cs_real_t xe[3], const cs_real_t xf[3]) |
Compute the area of the convex_hull generated by 3 points. This corresponds to the computation of the surface of a triangle. More... | |
double | cs_math_voltet (const cs_real_t xv[3], const cs_real_t xe[3], const cs_real_t xf[3], const cs_real_t xc[3]) |
Compute the volume of the convex_hull generated by 4 points. This is equivalent to the computation of the volume of a tetrahedron. More... | |
void | cs_math_fact_lu (cs_lnum_t n_blocks, int db_size, const cs_real_t *ad, cs_real_t *ad_inv) |
Compute inverses of dense matrices. More... | |
void | cs_math_fw_and_bw_lu (const cs_real_t mat[], int db_size, cs_real_t x[], const cs_real_t b[], const cs_real_t c[]) |
Block Jacobi utilities. Compute forward and backward to solve an LU P*P system. More... | |
Mathematical base functions.
Compute max/min eigenvalues ratio and max. eigenvalue of a 3x3 symmetric matrix.
Based on: Oliver K. Smith "eigenvalues of a symmetric 3x3 matrix", Communication of the ACM (April 1961) (Wikipedia article entitled "Eigenvalue algorithm")
[in] | m | 3x3 matrix |
[out] | eig_ratio | max/min |
[out] | eig_max | max. eigenvalue |
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inline |
Compute the length (euclidien norm) between two points xa and xb in a cartesian coordinate system of dimension 3.
[in] | xa | coordinate of the first extremity |
[in] | xb | coordinate of the second extremity |
[out] | len | pointer to the length of the vector va -> vb |
[out] | unitv | unitary vector anlong va -> vb |
Compute inverses of dense matrices.
[in] | n_blocks | number of blocks |
[in] | db_size | matrix size |
[in] | ad | diagonal part of linear equation matrix |
[out] | ad_inv | inverse of the diagonal part of linear equation matrix |
void cs_math_fw_and_bw_lu | ( | const cs_real_t | mat[], |
int | db_size, | ||
cs_real_t | x[], | ||
const cs_real_t | b[], | ||
const cs_real_t | c[] | ||
) |
Block Jacobi utilities. Compute forward and backward to solve an LU P*P system.
[in] | mat | P*P*dim matrix |
[in] | db_size | matrix size |
[out] | x | solution |
[out] | b | 1st part of RHS (c - b) |
[out] | c | 2nd part of RHS (c - b) |
double cs_math_get_machine_epsilon | ( | void | ) |
Get the value related to the machine precision.
void cs_math_set_machine_epsilon | ( | void | ) |
Compute the value related to the machine precision.
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inline |
Compute the area of the convex_hull generated by 3 points. This corresponds to the computation of the surface of a triangle.
[in] | xv | coordinates of the first vertex |
[in] | xe | coordinates of the second vertex |
[in] | xf | coordinates of the third vertex |
Compute all eigenvalues of a 3x3 symmetric matrix.
Based on: Oliver K. Smith "eigenvalues of a symmetric 3x3 matrix", Communication of the ACM (April 1961) (Wikipedia article entitled "Eigenvalue algorithm")
[in] | m | 3x3 symmetric matrix (m11, m22, m33, m12, m23, m13) |
[out] | eig_vals | size 3 vector |
double cs_math_voltet | ( | const cs_real_t | xv[3], |
const cs_real_t | xe[3], | ||
const cs_real_t | xf[3], | ||
const cs_real_t | xc[3] | ||
) |
Compute the volume of the convex_hull generated by 4 points. This is equivalent to the computation of the volume of a tetrahedron.
[in] | xv | coordinates of the first vertex |
[in] | xe | coordinates of the second vertex |
[in] | xf | coordinates of the third vertex |
[in] | xc | coordinates of the fourth vertex |