1
0
mirror of https://github.com/TREX-CoE/qmckl.git synced 2024-12-23 12:57:20 +01:00

Jastrow specific test b2.h header added. #22

This commit is contained in:
vijay gopal chilkuri 2021-06-25 11:54:53 +05:30
parent 32c0e7c723
commit 931d364b1d
2 changed files with 323 additions and 36 deletions

View File

@ -27,7 +27,7 @@ these factors along with their derivatives.
#include "config.h" #include "config.h"
#endif #endif
#include "chbrclf.h" #include "b2.h"
int main() { int main() {
qmckl_context context; qmckl_context context;
@ -76,10 +76,10 @@ int main() {
| ~int64_t~ | ~aord_num~ | in | The number of a coeffecients | | ~int64_t~ | ~aord_num~ | in | The number of a coeffecients |
| ~int64_t~ | ~bord_num~ | in | The number of b coeffecients | | ~int64_t~ | ~bord_num~ | in | The number of b coeffecients |
| ~int64_t~ | ~cord_num~ | in | The number of c coeffecients | | ~int64_t~ | ~cord_num~ | in | The number of c coeffecients |
| ~uint64_t~ | ~type_nuc_num~ | in | Number of Nucleii types | | ~uint64_t~ | ~type_nucl_num~ | in | Number of Nucleii types |
| ~double~ | ~aord_vector[aord_num + 1][type_nuc_num]~ | in | Order of a polynomial coefficients | | ~double~ | ~aord_vector[aord_num + 1][type_nucl_num]~ | in | Order of a polynomial coefficients |
| ~double~ | ~bord_vector[bord_num + 1]~ | in | Order of b polynomial coefficients | | ~double~ | ~bord_vector[bord_num + 1]~ | in | Order of b polynomial coefficients |
| ~double~ | ~cord_vector[cord_num][type_nuc_num]~ | in | Order of c polynomial coefficients | | ~double~ | ~cord_vector[cord_num][type_nucl_num]~ | in | Order of c polynomial coefficients |
| ~double~ | ~factor_ee~ | out | Jastrow factor: electron-electron part | | ~double~ | ~factor_ee~ | out | Jastrow factor: electron-electron part |
| ~double~ | ~factor_ee_date~ | out | Jastrow factor: electron-electron part | | ~double~ | ~factor_ee_date~ | out | Jastrow factor: electron-electron part |
| ~double~ | ~factor_en~ | out | Jastrow factor: electron-nucleus part | | ~double~ | ~factor_en~ | out | Jastrow factor: electron-nucleus part |
@ -96,15 +96,18 @@ int main() {
| ~int64_t~ | ~dim_cord_vec~ | Number of unique C coefficients | | ~int64_t~ | ~dim_cord_vec~ | Number of unique C coefficients |
| ~double~ | ~asymp_jasb[2]~ | Asymptotic component | | ~double~ | ~asymp_jasb[2]~ | Asymptotic component |
| ~int64_t~ | ~asymp_jasb_date~ | Asymptotic component | | ~int64_t~ | ~asymp_jasb_date~ | Asymptotic component |
| ~double~ | ~coord_vect_full[dim_cord_vec][nuc_num]~ | vector of non-zero coefficients | | ~double~ | ~coord_vect_full[dim_cord_vec][nucl_num]~ | vector of non-zero coefficients |
| ~int64_t~ | ~lkpm_of_cindex[4][dim_cord_vec]~ | Transform l,k,p, and m into consecutive indices | | ~int64_t~ | ~lkpm_of_cindex[4][dim_cord_vec]~ | Transform l,k,p, and m into consecutive indices |
| ~double~ | ~tmp_c[elec_num][nuc_num][ncord + 1][ncord]~ | vector of non-zero coefficients | | ~double~ | ~tmp_c[elec_num][nucl_num][ncord + 1][ncord]~ | vector of non-zero coefficients |
| ~double~ | ~dtmp_c[elec_num][4][nuc_num][ncord + 1][ncord]~ | vector of non-zero coefficients | | ~double~ | ~dtmp_c[elec_num][4][nucl_num][ncord + 1][ncord]~ | vector of non-zero coefficients |
For H2O we have the following data: For H2O we have the following data:
#+BEGIN_EXAMPLE #+NAME: jastrow_data
type_nuc_num = 1 #+BEGIN_SRC python :results output
import numpy as np
type_nucl_num = 1
aord_num = 5 aord_num = 5
bord_num = 5 bord_num = 5
cord_num = 23 cord_num = 23
@ -139,14 +142,38 @@ cord_vector_full = [
2.614000000000000E-003, -1.477000000000000E-003, -1.137000000000000E-003, 2.614000000000000E-003, -1.477000000000000E-003, -1.137000000000000E-003,
-4.010475000000000E-002, 6.106710000000000E-003 ], -4.010475000000000E-002, 6.106710000000000E-003 ],
] ]
lkpm_of_cindex = lkpm_of_cindex = [[1 , 1 , 2 , 0],
[ 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 3, 0, 2, 1, 3, 0, 0, 1, [0 , 0 , 2 , 1],
3, 1, 1, 0, 3, 1, 1, 3, 4, 0, 2, 2, 4, 0, 0, 2, 4, 1, [1 , 2 , 3 , 0],
3, 1, 4, 0, 1, 1, 4, 1, 2, 0, 4, 1, 0, 0, 4, 2, 1, 4, [2 , 1 , 3 , 0],
5, 0, 2, 3, 5, 0, 0, 3, 5, 1, 3, 2, 5, 0, 1, 2, 5, 1, [0 , 1 , 3 , 1],
4, 1, 5, 0, 2, 1, 5, 1, 0, 1, 5, 2, 3, 0, 5, 1, 1, 0, [1 , 0 , 3 , 1],
5, 2 ] [1 , 3 , 4 , 0],
#+END_EXAMPLE [2 , 2 , 4 , 0],
[0 , 2 , 4 , 1],
[3 , 1 , 4 , 0],
[1 , 1 , 4 , 1],
[2 , 0 , 4 , 1],
[0 , 0 , 4 , 2],
[1 , 4 , 5 , 0],
[2 , 3 , 5 , 0],
[0 , 3 , 5 , 1],
[3 , 2 , 5 , 0],
[1 , 2 , 5 , 1],
[4 , 1 , 5 , 0],
[2 , 1 , 5 , 1],
[0 , 1 , 5 , 2],
[3 , 0 , 5 , 1],
[1 , 0 , 5 , 2]]
print(np.array(lkpm_of_cindex).reshape(4,dim_cord_vec))
#+END_SRC
#+RESULTS: jastrow_data
: [[1 1 2 0 0 0 2 1 1 2 3 0 2 1 3 0 0 1 3 1 1 0 3]
: [1 1 3 4 0 2 2 4 0 0 2 4 1 3 1 4 0 1 1 4 1 2 0]
: [4 1 0 0 4 2 1 4 5 0 2 3 5 0 0 3 5 1 3 2 5 0 1]
: [2 5 1 4 1 5 0 2 1 5 1 0 1 5 2 3 0 5 1 1 0 5 2]]
** Data structure ** Data structure
@ -156,7 +183,7 @@ typedef struct qmckl_jastrow_struct{
int64_t aord_num; int64_t aord_num;
int64_t bord_num; int64_t bord_num;
int64_t cord_num; int64_t cord_num;
int64_t type_nuc_num; int64_t type_nucl_num;
int64_t asymp_jasb_date; int64_t asymp_jasb_date;
int64_t tmp_c_date; int64_t tmp_c_date;
int64_t dtmp_c_date; int64_t dtmp_c_date;
@ -218,7 +245,7 @@ qmckl_exit_code qmckl_init_jastrow(qmckl_context context) {
qmckl_exit_code qmckl_get_jastrow_aord_num (qmckl_context context, int64_t* const aord_num); qmckl_exit_code qmckl_get_jastrow_aord_num (qmckl_context context, int64_t* const aord_num);
qmckl_exit_code qmckl_get_jastrow_bord_num (qmckl_context context, int64_t* const bord_num); qmckl_exit_code qmckl_get_jastrow_bord_num (qmckl_context context, int64_t* const bord_num);
qmckl_exit_code qmckl_get_jastrow_cord_num (qmckl_context context, int64_t* const bord_num); qmckl_exit_code qmckl_get_jastrow_cord_num (qmckl_context context, int64_t* const bord_num);
qmckl_exit_code qmckl_get_jastrow_type_nuc_num (qmckl_context context, int64_t* const type_nuc_num); qmckl_exit_code qmckl_get_jastrow_type_nucl_num (qmckl_context context, int64_t* const type_nucl_num);
qmckl_exit_code qmckl_get_jastrow_aord_vector (qmckl_context context, double * const aord_vector); qmckl_exit_code qmckl_get_jastrow_aord_vector (qmckl_context context, double * const aord_vector);
qmckl_exit_code qmckl_get_jastrow_bord_vector (qmckl_context context, double * const bord_vector); qmckl_exit_code qmckl_get_jastrow_bord_vector (qmckl_context context, double * const bord_vector);
qmckl_exit_code qmckl_get_jastrow_cord_vector (qmckl_context context, double * const cord_vector); qmckl_exit_code qmckl_get_jastrow_cord_vector (qmckl_context context, double * const cord_vector);
@ -338,17 +365,17 @@ qmckl_exit_code qmckl_get_jastrow_cord_num (const qmckl_context context, int64_t
return QMCKL_SUCCESS; return QMCKL_SUCCESS;
} }
qmckl_exit_code qmckl_get_type_nuc_num (const qmckl_context context, int64_t* const type_nuc_num) { qmckl_exit_code qmckl_get_type_nucl_num (const qmckl_context context, int64_t* const type_nucl_num) {
if (qmckl_context_check(context) == QMCKL_NULL_CONTEXT) { if (qmckl_context_check(context) == QMCKL_NULL_CONTEXT) {
return (char) 0; return (char) 0;
} }
if (type_nuc_num == NULL) { if (type_nucl_num == NULL) {
return qmckl_failwith( context, return qmckl_failwith( context,
QMCKL_INVALID_ARG_2, QMCKL_INVALID_ARG_2,
"qmckl_get_jastrow_type_nuc_num", "qmckl_get_jastrow_type_nucl_num",
"type_nuc_num is a null pointer"); "type_nucl_num is a null pointer");
} }
qmckl_context_struct* const ctx = (qmckl_context_struct* const) context; qmckl_context_struct* const ctx = (qmckl_context_struct* const) context;
@ -360,8 +387,8 @@ qmckl_exit_code qmckl_get_type_nuc_num (const qmckl_context context, int64_t* co
return (char) 0; return (char) 0;
} }
assert (ctx->jastrow.type_nuc_num > 0); assert (ctx->jastrow.type_nucl_num > 0);
*type_nuc_num = ctx->jastrow.type_nuc_num; *type_nucl_num = ctx->jastrow.type_nucl_num;
return QMCKL_SUCCESS; return QMCKL_SUCCESS;
} }
@ -455,7 +482,7 @@ qmckl_exit_code qmckl_get_cord_vector (const qmckl_context context, double * con
#+begin_src c :comments org :tangle (eval h_func) #+begin_src c :comments org :tangle (eval h_func)
qmckl_exit_code qmckl_set_jastrow_ord_num (qmckl_context context, const int64_t aord_num, const int64_t bord_num, const int64_t cord_num); qmckl_exit_code qmckl_set_jastrow_ord_num (qmckl_context context, const int64_t aord_num, const int64_t bord_num, const int64_t cord_num);
qmckl_exit_code qmckl_set_jastrow_type_nuc_num (qmckl_context context, const int64_t type_nuc_num); qmckl_exit_code qmckl_set_jastrow_type_nucl_num (qmckl_context context, const int64_t type_nucl_num);
qmckl_exit_code qmckl_set_jastrow_aord_vector (qmckl_context context, const double * aord_vector); qmckl_exit_code qmckl_set_jastrow_aord_vector (qmckl_context context, const double * aord_vector);
qmckl_exit_code qmckl_set_jastrow_bord_vector (qmckl_context context, const double * bord_vector); qmckl_exit_code qmckl_set_jastrow_bord_vector (qmckl_context context, const double * bord_vector);
qmckl_exit_code qmckl_set_jastrow_cord_vector (qmckl_context context, const double * cord_vector); qmckl_exit_code qmckl_set_jastrow_cord_vector (qmckl_context context, const double * cord_vector);
@ -517,18 +544,18 @@ qmckl_exit_code qmckl_set_jastrow_ord_num(qmckl_context context, const int64_t a
<<post2>> <<post2>>
} }
qmckl_exit_code qmckl_set_jastrow_type_nuc_num(qmckl_context context, const int64_t type_nuc_num) { qmckl_exit_code qmckl_set_jastrow_type_nucl_num(qmckl_context context, const int64_t type_nucl_num) {
<<pre2>> <<pre2>>
if (type_nuc_num <= 0) { if (type_nucl_num <= 0) {
return qmckl_failwith( context, return qmckl_failwith( context,
QMCKL_INVALID_ARG_2, QMCKL_INVALID_ARG_2,
"qmckl_set_jastrow_type_nuc_num", "qmckl_set_jastrow_type_nucl_num",
"type_nuc_num < 0"); "type_nucl_num < 0");
} }
int32_t mask = 1 << 2; int32_t mask = 1 << 2;
ctx->jastrow.type_nuc_num = type_nuc_num; ctx->jastrow.type_nucl_num = type_nucl_num;
<<post2>> <<post2>>
} }
@ -539,7 +566,7 @@ qmckl_exit_code qmckl_set_jastrow_aord_vector(qmckl_context context, double cons
int32_t mask = 1 << 3; int32_t mask = 1 << 3;
int64_t aord_num; int64_t aord_num;
int rc = qmckl_get_jastrow_aord_num(context, &aord_num); qmckl_exit_code rc = qmckl_get_jastrow_aord_num(context, &aord_num);
if (rc != QMCKL_SUCCESS) return rc; if (rc != QMCKL_SUCCESS) return rc;
if (aord_num == 0) { if (aord_num == 0) {
@ -589,7 +616,7 @@ qmckl_exit_code qmckl_set_jastrow_bord_vector(qmckl_context context, double cons
int32_t mask = 1 << 4; int32_t mask = 1 << 4;
int64_t bord_num; int64_t bord_num;
int rc = qmckl_get_jastrow_bord_num(context, &bord_num); qmckl_exit_code rc = qmckl_get_jastrow_bord_num(context, &bord_num);
if (rc != QMCKL_SUCCESS) return rc; if (rc != QMCKL_SUCCESS) return rc;
if (bord_num == 0) { if (bord_num == 0) {
@ -639,7 +666,7 @@ qmckl_exit_code qmckl_set_jastrow_cord_vector(qmckl_context context, double cons
int32_t mask = 1 << 5; int32_t mask = 1 << 5;
int64_t cord_num; int64_t cord_num;
int rc = qmckl_get_jastrow_cord_num(context, &cord_num); qmckl_exit_code rc = qmckl_get_jastrow_cord_num(context, &cord_num);
if (rc != QMCKL_SUCCESS) return rc; if (rc != QMCKL_SUCCESS) return rc;
if (cord_num == 0) { if (cord_num == 0) {
@ -743,7 +770,7 @@ qmckl_exit_code qmckl_finalize_jastrow(qmckl_context context) {
} }
/* Check for the nucleus data /* Check for the nucleus data
1. nuc_num 1. nucl_num
2. en_distances_rescaled 2. en_distances_rescaled
*/ */
if (!(ctx->nucleus.provided)) { if (!(ctx->nucleus.provided)) {
@ -764,6 +791,107 @@ qmckl_exit_code qmckl_finalize_jastrow(qmckl_context context) {
} }
#+end_src #+end_src
** Test
#+begin_src c :tangle (eval c_test)
/* Reference input data */
int64_t walk_num = b2_walk_num;
int64_t elec_num = b2_elec_num;
int64_t elec_up_num = b2_elec_up_num;
int64_t elec_dn_num = b2_elec_dn_num;
double rescale_factor_kappa_ee = 1.0;
double rescale_factor_kappa_en = 1.0;
double nucl_rescale_factor_kappa = 1.0;
double* elec_coord = &(b2_elec_coord[0][0][0]);
int64_t nucl_num = b2_nucl_num;
double* charge = b2_charge;
double* nucl_coord = &(b2_nucl_coord[0][0]);
/* --- */
qmckl_exit_code rc;
assert(!qmckl_electron_provided(context));
int64_t n;
rc = qmckl_get_electron_num (context, &n);
assert(rc == QMCKL_NOT_PROVIDED);
rc = qmckl_get_electron_up_num (context, &n);
assert(rc == QMCKL_NOT_PROVIDED);
rc = qmckl_get_electron_down_num (context, &n);
assert(rc == QMCKL_NOT_PROVIDED);
rc = qmckl_set_electron_num (context, elec_up_num, elec_dn_num);
assert(rc == QMCKL_SUCCESS);
assert(!qmckl_electron_provided(context));
rc = qmckl_get_electron_up_num (context, &n);
assert(rc == QMCKL_SUCCESS);
assert(n == elec_up_num);
rc = qmckl_get_electron_down_num (context, &n);
assert(rc == QMCKL_SUCCESS);
assert(n == elec_dn_num);
rc = qmckl_get_electron_num (context, &n);
assert(rc == QMCKL_SUCCESS);
assert(n == elec_num);
double k_ee = 0.;
double k_en = 0.;
rc = qmckl_get_electron_rescale_factor_ee (context, &k_ee);
assert(rc == QMCKL_SUCCESS);
assert(k_ee == 1.0);
rc = qmckl_get_electron_rescale_factor_en (context, &k_en);
assert(rc == QMCKL_SUCCESS);
assert(k_en == 1.0);
rc = qmckl_set_electron_rescale_factor_en(context, rescale_factor_kappa_en);
assert(rc == QMCKL_SUCCESS);
rc = qmckl_set_electron_rescale_factor_ee(context, rescale_factor_kappa_ee);
assert(rc == QMCKL_SUCCESS);
rc = qmckl_get_electron_rescale_factor_ee (context, &k_ee);
assert(rc == QMCKL_SUCCESS);
assert(k_ee == rescale_factor_kappa_ee);
rc = qmckl_get_electron_rescale_factor_en (context, &k_en);
assert(rc == QMCKL_SUCCESS);
assert(k_en == rescale_factor_kappa_en);
int64_t w;
rc = qmckl_get_electron_walk_num (context, &w);
assert(rc == QMCKL_NOT_PROVIDED);
rc = qmckl_set_electron_walk_num (context, walk_num);
assert(rc == QMCKL_SUCCESS);
rc = qmckl_get_electron_walk_num (context, &w);
assert(rc == QMCKL_SUCCESS);
assert(w == walk_num);
assert(qmckl_electron_provided(context));
rc = qmckl_set_electron_coord (context, 'N', elec_coord);
assert(rc == QMCKL_SUCCESS);
double elec_coord2[walk_num*3*elec_num];
rc = qmckl_get_electron_coord (context, 'N', elec_coord2);
assert(rc == QMCKL_SUCCESS);
for (int64_t i=0 ; i<3*elec_num ; ++i) {
assert( elec_coord[i] == elec_coord2[i] );
}
#+end_src
* Computation * Computation
The computed data is stored in the context so that it can be reused The computed data is stored in the context so that it can be reused
@ -963,6 +1091,59 @@ end function qmckl_compute_asymp_jasb_f
#+end_src #+end_src
*** Test *** Test
#+begin_src python :results output :exports none :noweb yes
import numpy as np
<<jastrow_data>>
kappa = 1.0
kappa_inv = 1.0
asym_one = bord_vector[0] * kappa_inv / (1.0 + bord_vector[1]*kappa_inv)
asymp_jasb = np.array([asym_one, 0.5 * asym_one])
for i in range(2):
x = kappa_inv
for p in range(1,bord_num):
x = x * kappa_inv
asymp_jasb[i] += bord_vector[p + 1] * x
print("asym_one : ", asym_one)
print("asymp_jasb : ", asymp_jasb)
#+end_src
#+RESULTS:
: asym_one : 0.43340325572525706
: asymp_jasb : [0.53237506 0.31567343]
#+begin_src c :tangle (eval c_test)
assert(qmckl_electron_provided(context));
double ee_distance[walk_num * elec_num * elec_num];
rc = qmckl_get_electron_ee_distance(context, ee_distance);
// (e1,e2,w)
// (0,0,0) == 0.
//assert(ee_distance[0] == 0.);
//
//// (1,0,0) == (0,1,0)
//assert(ee_distance[1] == ee_distance[elec_num]);
//
//// value of (1,0,0)
//assert(fabs(ee_distance[1]-7.152322512964209) < 1.e-12);
//
//// (0,0,1) == 0.
//assert(ee_distance[elec_num*elec_num] == 0.);
//
//// (1,0,1) == (0,1,1)
//assert(ee_distance[elec_num*elec_num+1] == ee_distance[elec_num*elec_num+elec_num]);
//
//// value of (1,0,1)
//assert(fabs(ee_distance[elec_num*elec_num+1]-6.5517646321055665) < 1.e-12);
#+end_src
* End of files :noexport: * End of files :noexport:
@ -972,7 +1153,7 @@ end function qmckl_compute_asymp_jasb_f
*** Test *** Test
#+begin_src c :tangle (eval c_test) #+begin_src c :tangle (eval c_test)
qmckl_exit_code rc = qmckl_context_destroy(context); rc = qmckl_context_destroy(context);
assert (rc == QMCKL_SUCCESS); assert (rc == QMCKL_SUCCESS);
return 0; return 0;

106
tests/b2.h Normal file
View File

@ -0,0 +1,106 @@
#define b2_nucl_num ((int64_t) 2)
double b2_charge[b2_nucl_num] = { 5., 5.};
double b2_nucl_coord[3][b2_nucl_num] =
{ {0.000000, 0.000000 },
{0.000000, 0.000000 },
{2.059801, 2.059801 } };
#define b2_elec_up_num ((int64_t) 5)
#define b2_elec_dn_num ((int64_t) 5)
#define b2_elec_num ((int64_t) 10)
#define b2_walk_num ((int64_t) 1)
double b2_elec_coord[b2_walk_num][b2_elec_num][3] = { {
{-0.250655104764153 , 0.503070975550133 , -0.166554344502303},
{-0.587812193472177 , -0.128751981129274 , 0.187773606533075},
{ 1.61335569047166 , -0.615556732874863 , -1.43165470979934 },
{-4.901239896295210E-003 , -1.120440036458986E-002 , 1.99761909330422 },
{ 0.766647499681200 , -0.293515395797937 , 3.66454589201239 },
{-0.127732483187947 , -0.138975497694196 , -8.669850480215846E-002},
{-0.232271834949124 , -1.059321673434182E-002 , -0.504862241464867},
{ 1.09360863531826 , -2.036103063808752E-003 , -2.702796910818986E-002},
{-0.108090166832043 , 0.189161729653261 , 2.15398313919894},
{ 0.397978144318712 , -0.254277292595981 , 2.54553335476344}}};
/* Jastrow related */
#define b2_type_nucl_num ((int64_t) 1)
#define b2_aord_num ((int64_t) 5)
#define b2_bord_num ((int64_t) 5)
#define b2_cord_num ((int64_t) 23)
#define b2_dim_cord_vec ((int64_t) 23)
double b2_aord_vector[b2_aord_num + 1][b2_type_nucl_num] = {
{ 0. },
{ 0. },
{-0.380512},
{-0.157996},
{-0.031558},
{ 0.021512}};
double b2_bord_vector[b2_bord_num + 1] = {
0.5 ,
0.15366 ,
0.0672262 ,
0.02157 ,
0.0073096 ,
0.002866 };
double b2_cord_vector[b2_cord_num][b2_type_nucl_num] = {
{ 5.717020e-01},
{-5.142530e-01},
{-5.130430e-01},
{ 9.486000e-03},
{-4.205000e-03},
{ 4.263258e-01},
{ 8.288150e-02},
{ 5.118600e-03},
{-2.997800e-03},
{-5.270400e-03},
{-7.500000e-05},
{-8.301650e-02},
{ 1.454340e-02},
{ 5.143510e-02},
{ 9.250000e-04},
{-4.099100e-03},
{ 4.327600e-03},
{-1.654470e-03},
{ 2.614000e-03},
{-1.477000e-03},
{-1.137000e-03},
{-4.010475e-02},
{ 6.106710e-03}};
double b2_cord_vector_full[b2_dim_cord_vec][b2_nucl_num] = {
{ 5.717020e-01, 5.717020e-01},
{-5.142530e-01, -5.142530e-01},
{-5.130430e-01, -5.130430e-01},
{ 9.486000e-03, 9.486000e-03},
{-4.205000e-03, -4.205000e-03},
{ 4.263258e-01, 4.263258e-01},
{ 8.288150e-02, 8.288150e-02},
{ 5.118600e-03, 5.118600e-03},
{-2.997800e-03, -2.997800e-03},
{-5.270400e-03, -5.270400e-03},
{-7.500000e-05, -7.500000e-05},
{-8.301650e-02, -8.301650e-02},
{ 1.454340e-02, 1.454340e-02},
{ 5.143510e-02, 5.143510e-02},
{ 9.250000e-04, 9.250000e-04},
{-4.099100e-03, -4.099100e-03},
{ 4.327600e-03, 4.327600e-03},
{-1.654470e-03, -1.654470e-03},
{ 2.614000e-03, 2.614000e-03},
{-1.477000e-03, -1.477000e-03},
{-1.137000e-03, -1.137000e-03},
{-4.010475e-02, -4.010475e-02},
{ 6.106710e-03, 6.106710e-03}};
double b2_lkpm_of_cindex[4][b2_dim_cord_vec] = {
{1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 3, 0, 2, 1, 3, 0, 0, 1, 3, 1, 1, 0, 3},
{1, 1, 3, 4, 0, 2, 2, 4, 0, 0, 2, 4, 1, 3, 1, 4, 0, 1, 1, 4, 1, 2, 0},
{4, 1, 0, 0, 4, 2, 1, 4, 5, 0, 2, 3, 5, 0, 0, 3, 5, 1, 3, 2, 5, 0, 1},
{2, 5, 1, 4, 1, 5, 0, 2, 1, 5, 1, 0, 1, 5, 2, 3, 0, 5, 1, 1, 0, 5, 2}};