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mirror of https://github.com/QuantumPackage/qp2.git synced 2024-10-06 16:15:57 +02:00
qp2/plugins/local/ao_many_one_e_ints/grad2_jmu_manu.irp.f
2024-01-15 12:02:38 +01:00

555 lines
19 KiB
Fortran

! ---
BEGIN_PROVIDER [double precision, int2_grad1u2_grad2u2_env2_test, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! -\frac{1}{4} x int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 [1 - erf(mu r12)]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), expo_fit, coef_fit
double precision :: coef, beta, B_center(3)
double precision :: tmp
double precision :: wall0, wall1
double precision :: int_gauss, dsqpi_3_2, int_env
double precision :: factor_ij_1s, beta_ij, center_ij_1s(3), sq_pi_3_2
double precision, allocatable :: int_fit_v(:)
double precision, external :: overlap_gauss_r12_ao
double precision, external :: overlap_gauss_r12_ao_with1s
print*, ' providing int2_grad1u2_grad2u2_env2_test ...'
sq_pi_3_2 = (dacos(-1.d0))**(1.5d0)
provide mu_erf final_grid_points_transp List_comb_thr_b3_coef
call wall_time(wall0)
int2_grad1u2_grad2u2_env2_test(:,:,:) = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit_v, tmp,int_gauss,int_env,factor_ij_1s,beta_ij,center_ij_1s) &
!$OMP SHARED (n_points_final_grid, ao_num, final_grid_points,List_comb_thr_b3_size, &
!$OMP final_grid_points_transp, ng_fit_jast, &
!$OMP expo_gauss_1_erf_x_2, coef_gauss_1_erf_x_2, &
!$OMP List_comb_thr_b3_coef, List_comb_thr_b3_expo, &
!$OMP List_comb_thr_b3_cent, int2_grad1u2_grad2u2_env2_test, ao_abs_comb_b3_env, &
!$OMP ao_overlap_abs,sq_pi_3_2,thrsh_cycle_tc)
!$OMP DO SCHEDULE(dynamic)
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
if(ao_overlap_abs(j,i) .lt. thrsh_cycle_tc) then
cycle
endif
! --- --- ---
! i_1s = 1
! --- --- ---
int_env = ao_abs_comb_b3_env(1,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
coef_fit = -0.25d0 * coef_gauss_1_erf_x_2(i_fit)
! if(dabs(coef_fit*int_env*sq_pi_3_2*(expo_fit)**(-1.5d0)).lt.thrsh_cycle_tc)cycle
int_gauss = overlap_gauss_r12_ao(r, expo_fit, i, j)
int2_grad1u2_grad2u2_env2_test(j,i,ipoint) += coef_fit * int_gauss
enddo
! --- --- ---
! i_1s > 1
! --- --- ---
do i_1s = 2, List_comb_thr_b3_size(j,i)
coef = List_comb_thr_b3_coef (i_1s,j,i)
beta = List_comb_thr_b3_expo (i_1s,j,i)
int_env = ao_abs_comb_b3_env(i_1s,j,i)
B_center(1) = List_comb_thr_b3_cent(1,i_1s,j,i)
B_center(2) = List_comb_thr_b3_cent(2,i_1s,j,i)
B_center(3) = List_comb_thr_b3_cent(3,i_1s,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
!DIR$ FORCEINLINE
call gaussian_product(expo_fit,r,beta,B_center,factor_ij_1s,beta_ij,center_ij_1s)
coef_fit = -0.25d0 * coef_gauss_1_erf_x_2(i_fit) * coef
! if(dabs(coef_fit*factor_ij_1s*int_env*sq_pi_3_2*(beta_ij)**(-1.5d0)).lt.thrsh_cycle_tc)cycle
! call overlap_gauss_r12_ao_with1s_v(B_center, beta, final_grid_points_transp, &
! expo_fit, i, j, int_fit_v, n_points_final_grid)
int_gauss = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
int2_grad1u2_grad2u2_env2_test(j,i,ipoint) += coef_fit * int_gauss
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, i-1
int2_grad1u2_grad2u2_env2_test(j,i,ipoint) = int2_grad1u2_grad2u2_env2_test(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_grad1u2_grad2u2_env2_test (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, int2_grad1u2_grad2u2_env2_test_v, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! -\frac{1}{4} x int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 [1 - erf(mu r12)]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), expo_fit, coef_fit
double precision :: coef, beta, B_center(3)
double precision :: tmp
double precision :: wall0, wall1
double precision, allocatable :: int_fit_v(:),big_array(:,:,:)
double precision, external :: overlap_gauss_r12_ao_with1s
print*, ' providing int2_grad1u2_grad2u2_env2_test_v ...'
provide mu_erf final_grid_points_transp
call wall_time(wall0)
double precision :: int_env
big_array(:,:,:) = 0.d0
allocate(big_array(n_points_final_grid,ao_num, ao_num))
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center,&
!$OMP coef_fit, expo_fit, int_fit_v, tmp,int_env) &
!$OMP SHARED (n_points_final_grid, ao_num, List_comb_thr_b3_size,&
!$OMP final_grid_points_transp, ng_fit_jast, &
!$OMP expo_gauss_1_erf_x_2, coef_gauss_1_erf_x_2, &
!$OMP List_comb_thr_b3_coef, List_comb_thr_b3_expo, &
!$OMP List_comb_thr_b3_cent, big_array,&
!$OMP ao_abs_comb_b3_env,ao_overlap_abs,thrsh_cycle_tc)
!
allocate(int_fit_v(n_points_final_grid))
!$OMP DO SCHEDULE(dynamic)
do i = 1, ao_num
do j = i, ao_num
if(ao_overlap_abs(j,i) .lt. thrsh_cycle_tc) then
cycle
endif
do i_1s = 1, List_comb_thr_b3_size(j,i)
coef = List_comb_thr_b3_coef (i_1s,j,i)
beta = List_comb_thr_b3_expo (i_1s,j,i)
int_env = ao_abs_comb_b3_env(i_1s,j,i)
B_center(1) = List_comb_thr_b3_cent(1,i_1s,j,i)
B_center(2) = List_comb_thr_b3_cent(2,i_1s,j,i)
B_center(3) = List_comb_thr_b3_cent(3,i_1s,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
coef_fit = -0.25d0 * coef_gauss_1_erf_x_2(i_fit) * coef
call overlap_gauss_r12_ao_with1s_v(B_center, beta, final_grid_points_transp, size(final_grid_points_transp,1),&
expo_fit, i, j, int_fit_v, size(int_fit_v,1),n_points_final_grid)
do ipoint = 1, n_points_final_grid
big_array(ipoint,j,i) += coef_fit * int_fit_v(ipoint)
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
deallocate(int_fit_v)
!$OMP END PARALLEL
do i = 1, ao_num
do j = i, ao_num
do ipoint = 1, n_points_final_grid
int2_grad1u2_grad2u2_env2_test_v(j,i,ipoint) = big_array(ipoint,j,i)
enddo
enddo
enddo
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_grad1u2_grad2u2_env2_test_v(j,i,ipoint) = big_array(ipoint,i,j)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_grad1u2_grad2u2_env2_test_v (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, int2_u2_env2_test, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 [u_12^mu]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit, expo_fit, coef_fit
double precision :: coef, beta, B_center(3), tmp
double precision :: wall0, wall1,int_env
double precision, external :: overlap_gauss_r12_ao
double precision, external :: overlap_gauss_r12_ao_with1s
double precision :: factor_ij_1s,beta_ij,center_ij_1s(3),sq_pi_3_2
print*, ' providing int2_u2_env2_test ...'
sq_pi_3_2 = (dacos(-1.d0))**(1.5d0)
provide mu_erf final_grid_points
call wall_time(wall0)
int2_u2_env2_test = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, tmp, int_env,factor_ij_1s,beta_ij,center_ij_1s) &
!$OMP SHARED (n_points_final_grid, ao_num, List_comb_thr_b3_size, &
!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_x_2, coef_gauss_j_mu_x_2, &
!$OMP List_comb_thr_b3_coef, List_comb_thr_b3_expo,sq_pi_3_2, &
!$OMP List_comb_thr_b3_cent, int2_u2_env2_test,ao_abs_comb_b3_env,thrsh_cycle_tc)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
tmp = 0.d0
! --- --- ---
! i_1s = 1
! --- --- ---
int_env = ao_abs_comb_b3_env(1,j,i)
if(dabs(int_env).lt.thrsh_cycle_tc) cycle
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_x_2(i_fit)
coef_fit = coef_gauss_j_mu_x_2(i_fit)
! if(dabs(coef_fit*int_env*sq_pi_3_2*(expo_fit)**(-1.5d0)).lt.thrsh_cycle_tc)cycle
int_fit = overlap_gauss_r12_ao(r, expo_fit, i, j)
tmp += coef_fit * int_fit
enddo
! --- --- ---
! i_1s > 1
! --- --- ---
do i_1s = 2, List_comb_thr_b3_size(j,i)
coef = List_comb_thr_b3_coef (i_1s,j,i)
beta = List_comb_thr_b3_expo (i_1s,j,i)
int_env = ao_abs_comb_b3_env(i_1s,j,i)
! if(dabs(coef)*dabs(int_env).lt.thrsh_cycle_tc)cycle
B_center(1) = List_comb_thr_b3_cent(1,i_1s,j,i)
B_center(2) = List_comb_thr_b3_cent(2,i_1s,j,i)
B_center(3) = List_comb_thr_b3_cent(3,i_1s,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_x_2(i_fit)
coef_fit = coef_gauss_j_mu_x_2(i_fit)
!DIR$ FORCEINLINE
call gaussian_product(expo_fit,r,beta,B_center,factor_ij_1s,beta_ij,center_ij_1s)
! if(dabs(coef_fit*coef*factor_ij_1s*int_env*sq_pi_3_2*(beta_ij)**(-1.5d0)).lt.thrsh_cycle_tc)cycle
int_fit = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
tmp += coef * coef_fit * int_fit
enddo
enddo
int2_u2_env2_test(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_u2_env2_test(j,i,ipoint) = int2_u2_env2_test(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_u2_env2_test (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, int2_u_grad1u_x_env2_test, (ao_num,ao_num,n_points_final_grid,3)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 u_12^mu [\grad_1 u_12^mu] r2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit(3), expo_fit, coef_fit
double precision :: coef, beta, B_center(3), dist
double precision :: alpha_1s, alpha_1s_inv, centr_1s(3), expo_coef_1s, coef_tmp
double precision :: tmp_x, tmp_y, tmp_z, int_env
double precision :: wall0, wall1, sq_pi_3_2,sq_alpha
print*, ' providing int2_u_grad1u_x_env2_test ...'
sq_pi_3_2 = dacos(-1.D0)**(1.d0)
provide mu_erf final_grid_points
call wall_time(wall0)
int2_u_grad1u_x_env2_test = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, alpha_1s, dist, &
!$OMP alpha_1s_inv, centr_1s, expo_coef_1s, coef_tmp, &
!$OMP tmp_x, tmp_y, tmp_z,int_env,sq_alpha) &
!$OMP SHARED (n_points_final_grid, ao_num, List_comb_thr_b3_size, &
!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_1_erf, coef_gauss_j_mu_1_erf, &
!$OMP List_comb_thr_b3_coef, List_comb_thr_b3_expo, &
!$OMP List_comb_thr_b3_cent, int2_u_grad1u_x_env2_test,ao_abs_comb_b3_env,sq_pi_3_2,thrsh_cycle_tc)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
tmp_x = 0.d0
tmp_y = 0.d0
tmp_z = 0.d0
do i_1s = 1, List_comb_thr_b3_size(j,i)
coef = List_comb_thr_b3_coef (i_1s,j,i)
beta = List_comb_thr_b3_expo (i_1s,j,i)
int_env = ao_abs_comb_b3_env(i_1s,j,i)
if(dabs(coef)*dabs(int_env).lt.thrsh_cycle_tc)cycle
B_center(1) = List_comb_thr_b3_cent(1,i_1s,j,i)
B_center(2) = List_comb_thr_b3_cent(2,i_1s,j,i)
B_center(3) = List_comb_thr_b3_cent(3,i_1s,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_1_erf(i_fit)
coef_fit = coef_gauss_j_mu_1_erf(i_fit)
dist = (B_center(1) - r(1)) * (B_center(1) - r(1)) &
+ (B_center(2) - r(2)) * (B_center(2) - r(2)) &
+ (B_center(3) - r(3)) * (B_center(3) - r(3))
alpha_1s = beta + expo_fit
alpha_1s_inv = 1.d0 / alpha_1s
centr_1s(1) = alpha_1s_inv * (beta * B_center(1) + expo_fit * r(1))
centr_1s(2) = alpha_1s_inv * (beta * B_center(2) + expo_fit * r(2))
centr_1s(3) = alpha_1s_inv * (beta * B_center(3) + expo_fit * r(3))
expo_coef_1s = beta * expo_fit * alpha_1s_inv * dist
coef_tmp = coef * coef_fit * dexp(-expo_coef_1s)
sq_alpha = alpha_1s_inv * dsqrt(alpha_1s_inv)
! if(dabs(coef_tmp*int_env*sq_pi_3_2*sq_alpha) .lt. thrsh_cycle_tc) cycle
call NAI_pol_x_mult_erf_ao_with1s(i, j, alpha_1s, centr_1s, 1.d+9, r, int_fit)
tmp_x += coef_tmp * int_fit(1)
tmp_y += coef_tmp * int_fit(2)
tmp_z += coef_tmp * int_fit(3)
enddo
! ---
enddo
int2_u_grad1u_x_env2_test(j,i,ipoint,1) = tmp_x
int2_u_grad1u_x_env2_test(j,i,ipoint,2) = tmp_y
int2_u_grad1u_x_env2_test(j,i,ipoint,3) = tmp_z
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_u_grad1u_x_env2_test(j,i,ipoint,1) = int2_u_grad1u_x_env2_test(i,j,ipoint,1)
int2_u_grad1u_x_env2_test(j,i,ipoint,2) = int2_u_grad1u_x_env2_test(i,j,ipoint,2)
int2_u_grad1u_x_env2_test(j,i,ipoint,3) = int2_u_grad1u_x_env2_test(i,j,ipoint,3)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_u_grad1u_x_env2_test (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, int2_u_grad1u_env2_test, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 u_12^mu [\grad_1 u_12^mu]
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit, expo_fit, coef_fit, coef_tmp
double precision :: coef, beta, B_center(3), dist
double precision :: alpha_1s, alpha_1s_inv, centr_1s(3), expo_coef_1s, tmp
double precision :: wall0, wall1
double precision, external :: NAI_pol_mult_erf_ao_with1s
double precision :: j12_mu_r12,int_env
double precision :: sigma_ij,dist_ij_ipoint,dsqpi_3_2
double precision :: beta_ij,center_ij_1s(3),factor_ij_1s
print*, ' providing int2_u_grad1u_env2_test ...'
dsqpi_3_2 = (dacos(-1.d0))**(1.5d0)
provide mu_erf final_grid_points ao_overlap_abs List_comb_thr_b3_cent
call wall_time(wall0)
int2_u_grad1u_env2_test = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, tmp, alpha_1s, dist, &
!$OMP beta_ij,center_ij_1s,factor_ij_1s, &
!$OMP int_env,alpha_1s_inv, centr_1s, expo_coef_1s, coef_tmp) &
!$OMP SHARED (n_points_final_grid, ao_num, List_comb_thr_b3_size, &
!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_1_erf, coef_gauss_j_mu_1_erf, &
!$OMP ao_prod_dist_grid, ao_prod_sigma, ao_overlap_abs_grid,ao_prod_center,dsqpi_3_2, &
!$OMP List_comb_thr_b3_coef, List_comb_thr_b3_expo, ao_abs_comb_b3_env, &
!$OMP List_comb_thr_b3_cent, int2_u_grad1u_env2_test,thrsh_cycle_tc)
!$OMP DO
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = i, ao_num
if(dabs(ao_overlap_abs_grid(j,i)).lt.thrsh_cycle_tc) cycle
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
tmp = 0.d0
! --- --- ---
! i_1s = 1
! --- --- ---
int_env = ao_abs_comb_b3_env(1,j,i)
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_1_erf(i_fit)
coef_fit = coef_gauss_j_mu_1_erf(i_fit)
int_fit = NAI_pol_mult_erf_ao_with1s(i, j, expo_fit, r, 1.d+9, r)
tmp += coef_fit * int_fit
enddo
! --- --- ---
! i_1s > 1
! --- --- ---
do i_1s = 2, List_comb_thr_b3_size(j,i)
coef = List_comb_thr_b3_coef (i_1s,j,i)
beta = List_comb_thr_b3_expo (i_1s,j,i)
int_env = ao_abs_comb_b3_env(i_1s,j,i)
B_center(1) = List_comb_thr_b3_cent(1,i_1s,j,i)
B_center(2) = List_comb_thr_b3_cent(2,i_1s,j,i)
B_center(3) = List_comb_thr_b3_cent(3,i_1s,j,i)
dist = (B_center(1) - r(1)) * (B_center(1) - r(1)) &
+ (B_center(2) - r(2)) * (B_center(2) - r(2)) &
+ (B_center(3) - r(3)) * (B_center(3) - r(3))
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_1_erf(i_fit)
call gaussian_product(expo_fit,r,beta,B_center,factor_ij_1s,beta_ij,center_ij_1s)
coef_fit = coef_gauss_j_mu_1_erf(i_fit)
alpha_1s = beta + expo_fit
alpha_1s_inv = 1.d0 / alpha_1s
centr_1s(1) = alpha_1s_inv * (beta * B_center(1) + expo_fit * r(1))
centr_1s(2) = alpha_1s_inv * (beta * B_center(2) + expo_fit * r(2))
centr_1s(3) = alpha_1s_inv * (beta * B_center(3) + expo_fit * r(3))
expo_coef_1s = beta * expo_fit * alpha_1s_inv * dist
! if(expo_coef_1s .gt. 20.d0) cycle
coef_tmp = coef * coef_fit * dexp(-expo_coef_1s)
! if(dabs(coef_tmp) .lt. 1d-08) cycle
int_fit = NAI_pol_mult_erf_ao_with1s(i, j, alpha_1s, centr_1s, 1.d+9, r)
tmp += coef_tmp * int_fit
enddo
enddo
int2_u_grad1u_env2_test(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_u_grad1u_env2_test(j,i,ipoint) = int2_u_grad1u_env2_test(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_u_grad1u_env2_test (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---