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mirror of https://github.com/QuantumPackage/qp2.git synced 2024-12-22 20:34:58 +01:00

added charge-harmonizer one-body Jastrow

This commit is contained in:
AbdAmmar 2024-01-15 23:35:26 +01:00
parent fbcd70db2c
commit c3c65927ca
4 changed files with 442 additions and 44 deletions

View File

@ -7,6 +7,12 @@ BEGIN_PROVIDER [double precision, j1e_val, (n_points_final_grid)]
integer :: ipoint, i, j, p
double precision :: x, y, z, dx, dy, dz, d2
double precision :: a, c, tmp
double precision :: time0, time1
PROVIDE j1e_type
call wall_time(time0)
print*, ' providing j1e_val ...'
if(j1e_type .eq. "none") then
@ -46,29 +52,40 @@ BEGIN_PROVIDER [double precision, j1e_val, (n_points_final_grid)]
else
print *, ' Error: Unknown j1e_type = ', j1e_type
print *, ' Error in j1e_val: Unknown j1e_type = ', j1e_type
stop
endif
call wall_time(time1)
print*, ' Wall time for j1e_val (min) = ', (time1 - time0) / 60.d0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, j1e_dx, (n_points_final_grid)]
&BEGIN_PROVIDER [double precision, j1e_dy, (n_points_final_grid)]
&BEGIN_PROVIDER [double precision, j1e_dz, (n_points_final_grid)]
BEGIN_PROVIDER [double precision, j1e_gradx, (n_points_final_grid)]
&BEGIN_PROVIDER [double precision, j1e_grady, (n_points_final_grid)]
&BEGIN_PROVIDER [double precision, j1e_gradz, (n_points_final_grid)]
implicit none
integer :: ipoint, i, j, p
double precision :: x, y, z, dx, dy, dz, d2
double precision :: a, c, g, tmp_x, tmp_y, tmp_z
double precision :: time0, time1
double precision, allocatable :: Pa(:,:), Pb(:,:), Pt(:,:)
PROVIDE j1e_type
call wall_time(time0)
print*, ' providing j1e_grad ...'
if(j1e_type .eq. "none") then
j1e_dx = 0.d0
j1e_dy = 0.d0
j1e_dz = 0.d0
j1e_gradx = 0.d0
j1e_grady = 0.d0
j1e_gradz = 0.d0
elseif(j1e_type .eq. "gauss") then
@ -104,14 +121,105 @@ END_PROVIDER
enddo
enddo
j1e_dx(ipoint) = tmp_x
j1e_dy(ipoint) = tmp_y
j1e_dz(ipoint) = tmp_z
j1e_gradx(ipoint) = 2.d0 * tmp_x
j1e_grady(ipoint) = 2.d0 * tmp_y
j1e_gradz(ipoint) = 2.d0 * tmp_z
enddo
elseif(j1e_type .eq. "charge-harmonizer") then
! The - sign is in the integral over r2
! [(N-1)/2N] x \sum_{\mu,\nu} P_{\mu,\nu} \int dr2 [-1 * \grad_r1 J(r1,r2)] \phi_\mu(r2) \phi_nu(r2)
PROVIDE elec_alpha_num elec_beta_num elec_num
PROVIDE mo_coef
PROVIDE int2_grad1_u2b_ao
allocate(Pa(ao_num,ao_num), Pb(ao_num,ao_num), Pt(ao_num,ao_num))
call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
, 0.d0, Pa, size(Pa, 1))
if(elec_alpha_num .eq. elec_beta_num) then
Pb = Pa
else
call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
, 0.d0, Pb, size(Pb, 1))
endif
Pt = Pa + Pb
g = 0.5d0 * (dble(elec_num) - 1.d0) / dble(elec_num)
call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_grad1_u2b_ao(1,1,1,1), ao_num*ao_num, Pt, 1, 0.d0, j1e_gradx, 1)
call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_grad1_u2b_ao(1,1,1,2), ao_num*ao_num, Pt, 1, 0.d0, j1e_grady, 1)
call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_grad1_u2b_ao(1,1,1,3), ao_num*ao_num, Pt, 1, 0.d0, j1e_gradz, 1)
deallocate(Pa, Pb, Pt)
else
print *, ' Error in j1e_grad: Unknown j1e_type = ', j1e_type
stop
endif
call wall_time(time1)
print*, ' Wall time for j1e_grad (min) = ', (time1 - time0) / 60.d0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, j1e_lapl, (n_points_final_grid)]
implicit none
integer :: ipoint, i, j, p
double precision :: x, y, z, dx, dy, dz, d2
double precision :: a, c, g, tmp
if(j1e_type .eq. "none") then
j1e_lapl = 0.d0
elseif(j1e_type .eq. "gauss") then
! - \sum_{A} (r - R_A) \sum_p c_{p_A} \exp(-\alpha_{p_A} (r - R_A)^2)
PROVIDE j1e_size j1e_coef j1e_expo
do ipoint = 1, n_points_final_grid
x = final_grid_points(1,ipoint)
y = final_grid_points(2,ipoint)
z = final_grid_points(3,ipoint)
tmp = 0.d0
do j = 1, nucl_num
dx = x - nucl_coord(j,1)
dy = y - nucl_coord(j,2)
dz = z - nucl_coord(j,3)
d2 = dx*dx + dy*dy + dz*dz
do p = 1, j1e_size
c = j1e_coef(p,j)
a = j1e_expo(p,j)
g = c * a * dexp(-a*d2)
tmp = tmp + (2.d0 * a * d2 - 3.d0) * g
enddo
enddo
j1e_lapl(ipoint) = tmp
enddo
else
print *, ' Error: Unknown j1e_type = ', j1e_type
print *, ' Error in j1e_lapl: Unknown j1e_type = ', j1e_type
stop
endif
@ -120,4 +228,3 @@ END_PROVIDER
! ---

View File

@ -0,0 +1,181 @@
! ---
BEGIN_PROVIDER [double precision, int2_grad1_u2b_ao, (ao_num, ao_num, n_points_final_grid, 3)]
BEGIN_DOC
!
! int2_grad1_u2b_ao(i,j,ipoint,:) = \int dr2 [-1 * \grad_r1 J_2b(r1,r2)] \phi_i(r2) \phi_j(r2)
!
! where r1 = r(ipoint)
!
END_DOC
implicit none
integer :: ipoint, i, j, m, jpoint
double precision :: time0, time1
double precision :: x, y, z, r2
double precision :: dx, dy, dz
double precision :: tmp_ct
double precision :: tmp0, tmp1, tmp2
double precision :: tmp0_x, tmp0_y, tmp0_z
double precision :: tmp1_x, tmp1_y, tmp1_z
PROVIDE j2e_type
call wall_time(time0)
print*, ' providing int2_grad1_u2b_ao ...'
if(tc_integ_type .eq. "numeric") then
! TODO combine 1shot & int2_grad1_u12_ao_num
PROVIDE int2_grad1_u12_ao_num
int2_grad1_u2b_ao = int2_grad1_u12_ao_num
!PROVIDE int2_grad1_u12_ao_num_1shot
!int2_grad1_u2b_ao = int2_grad1_u12_ao_num_1shot
elseif(tc_integ_type .eq. "semi-analytic") then
! ---
if((j2e_type .eq. "rs-dft") .and. (env_type .eq. "none")) then
PROVIDE v_ij_erf_rk_cst_mu x_v_ij_erf_rk_cst_mu
int2_grad1_u2b_ao = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, x, y, z, tmp1) &
!$OMP SHARED ( ao_num, n_points_final_grid, final_grid_points &
!$OMP , v_ij_erf_rk_cst_mu, x_v_ij_erf_rk_cst_mu, int2_grad1_u2b_ao)
!$OMP DO SCHEDULE (static)
do ipoint = 1, n_points_final_grid
x = final_grid_points(1,ipoint)
y = final_grid_points(2,ipoint)
z = final_grid_points(3,ipoint)
do j = 1, ao_num
do i = 1, ao_num
tmp1 = v_ij_erf_rk_cst_mu(i,j,ipoint)
int2_grad1_u2b_ao(i,j,ipoint,1) = 0.5d0 * (tmp1 * x - x_v_ij_erf_rk_cst_mu(i,j,ipoint,1))
int2_grad1_u2b_ao(i,j,ipoint,2) = 0.5d0 * (tmp1 * y - x_v_ij_erf_rk_cst_mu(i,j,ipoint,2))
int2_grad1_u2b_ao(i,j,ipoint,3) = 0.5d0 * (tmp1 * z - x_v_ij_erf_rk_cst_mu(i,j,ipoint,3))
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
elseif((j2e_type .eq. "rs-dft") .and. (env_type .eq. "prod-gauss")) then
PROVIDE env_type env_val env_grad
PROVIDE v_ij_erf_rk_cst_mu_env v_ij_u_cst_mu_env_an x_v_ij_erf_rk_cst_mu_env
int2_grad1_u2b_ao = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, x, y, z, tmp0, tmp1, tmp2, tmp0_x, tmp0_y, tmp0_z) &
!$OMP SHARED (ao_num, n_points_final_grid, final_grid_points, env_val, env_grad, &
!$OMP v_ij_erf_rk_cst_mu_env, v_ij_u_cst_mu_env_an, x_v_ij_erf_rk_cst_mu_env, int2_grad1_u2b_ao)
!$OMP DO SCHEDULE (static)
do ipoint = 1, n_points_final_grid
x = final_grid_points(1,ipoint)
y = final_grid_points(2,ipoint)
z = final_grid_points(3,ipoint)
tmp0 = 0.5d0 * env_val(ipoint)
tmp0_x = env_grad(1,ipoint)
tmp0_y = env_grad(2,ipoint)
tmp0_z = env_grad(3,ipoint)
do j = 1, ao_num
do i = 1, ao_num
tmp1 = tmp0 * v_ij_erf_rk_cst_mu_env(i,j,ipoint)
tmp2 = v_ij_u_cst_mu_env_an(i,j,ipoint)
int2_grad1_u2b_ao(i,j,ipoint,1) = tmp1 * x - tmp0 * x_v_ij_erf_rk_cst_mu_env(i,j,ipoint,1) - tmp2 * tmp0_x
int2_grad1_u2b_ao(i,j,ipoint,2) = tmp1 * y - tmp0 * x_v_ij_erf_rk_cst_mu_env(i,j,ipoint,2) - tmp2 * tmp0_y
int2_grad1_u2b_ao(i,j,ipoint,3) = tmp1 * z - tmp0 * x_v_ij_erf_rk_cst_mu_env(i,j,ipoint,3) - tmp2 * tmp0_z
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
elseif((j2e_type .eq. "rs-dft") .and. (env_type .eq. "sum-gauss")) then
PROVIDE mu_erf
PROVIDE env_type env_val env_grad
PROVIDE Ir2_rsdft_long_Du_0 Ir2_rsdft_long_Du_x Ir2_rsdft_long_Du_y Ir2_rsdft_long_Du_z Ir2_rsdft_long_Du_2
PROVIDE Ir2_rsdft_gauss_Du
tmp_ct = 0.5d0 / (dsqrt(dacos(-1.d0)) * mu_erf)
int2_grad1_u2b_ao = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, x, y, z, r2, dx, dy, dz, tmp1, tmp2, &
!$OMP tmp0_x, tmp0_y, tmp0_z, tmp1_x, tmp1_y, tmp1_z) &
!$OMP SHARED (ao_num, n_points_final_grid, final_grid_points, &
!$OMP tmp_ct, env_val, env_grad, Ir2_rsdft_long_Du_0, &
!$OMP Ir2_rsdft_long_Du_x, Ir2_rsdft_long_Du_y, &
!$OMP Ir2_rsdft_long_Du_z, Ir2_rsdft_gauss_Du, &
!$OMP Ir2_rsdft_long_Du_2, int2_grad1_u2b_ao)
!$OMP DO SCHEDULE (static)
do ipoint = 1, n_points_final_grid
x = final_grid_points(1,ipoint)
y = final_grid_points(2,ipoint)
z = final_grid_points(3,ipoint)
r2 = x*x + y*y + z*z
dx = env_grad(1,ipoint)
dy = env_grad(2,ipoint)
dz = env_grad(3,ipoint)
tmp0_x = 0.5d0 * (env_val(ipoint) * x + r2 * dx)
tmp0_y = 0.5d0 * (env_val(ipoint) * y + r2 * dy)
tmp0_z = 0.5d0 * (env_val(ipoint) * z + r2 * dz)
tmp1 = 0.5d0 * env_val(ipoint)
tmp1_x = tmp_ct * dx
tmp1_y = tmp_ct * dy
tmp1_z = tmp_ct * dz
do j = 1, ao_num
do i = 1, ao_num
tmp2 = 0.5d0 * Ir2_rsdft_long_Du_2(i,j,ipoint) - x * Ir2_rsdft_long_Du_x(i,j,ipoint) - y * Ir2_rsdft_long_Du_y(i,j,ipoint) - z * Ir2_rsdft_long_Du_z(i,j,ipoint)
int2_grad1_u2b_ao(i,j,ipoint,1) = -Ir2_rsdft_long_Du_0(i,j,ipoint) * tmp0_x + tmp1 * Ir2_rsdft_long_Du_x(i,j,ipoint) - dx * tmp2 + tmp1_x * Ir2_rsdft_gauss_Du(i,j,ipoint)
int2_grad1_u2b_ao(i,j,ipoint,2) = -Ir2_rsdft_long_Du_0(i,j,ipoint) * tmp0_y + tmp1 * Ir2_rsdft_long_Du_y(i,j,ipoint) - dy * tmp2 + tmp1_y * Ir2_rsdft_gauss_Du(i,j,ipoint)
int2_grad1_u2b_ao(i,j,ipoint,3) = -Ir2_rsdft_long_Du_0(i,j,ipoint) * tmp0_z + tmp1 * Ir2_rsdft_long_Du_z(i,j,ipoint) - dz * tmp2 + tmp1_z * Ir2_rsdft_gauss_Du(i,j,ipoint)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
else
print *, ' Error in int2_grad1_u2b_ao: Unknown Jastrow'
stop
endif ! j2e_type
else
write(*, '(A, A, A)') ' Error: The integration type ', trim(tc_integ_type), ' has not been implemented yet'
stop
endif ! tc_integ_type
call wall_time(time1)
print*, ' wall time for int2_grad1_u2b_ao (min) =', (time1-time0)/60.d0
call print_memory_usage()
END_PROVIDER
! ---

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@ -119,8 +119,6 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_ao, (ao_num, ao_num, n_points_f
!$OMP END DO
!$OMP END PARALLEL
FREE v_ij_erf_rk_cst_mu_env v_ij_u_cst_mu_env_an x_v_ij_erf_rk_cst_mu_env
elseif((j2e_type .eq. "rs-dft") .and. (env_type .eq. "sum-gauss")) then
PROVIDE mu_erf
@ -190,7 +188,7 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_ao, (ao_num, ao_num, n_points_f
PROVIDE elec_num
PROVIDE ao_overlap
PROVIDE j1e_dx j1e_dy j1e_dz
PROVIDE j1e_gradx j1e_grady j1e_gradz
tmp_ct = 1.d0 / (dble(elec_num) - 1.d0)
@ -198,12 +196,12 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_ao, (ao_num, ao_num, n_points_f
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, tmp0_x, tmp0_y, tmp0_z) &
!$OMP SHARED (ao_num, n_points_final_grid, tmp_ct, &
!$OMP j1e_dx, j1e_dy, j1e_dz, ao_overlap, int2_grad1_u12_ao)
!$OMP j1e_gradx, j1e_grady, j1e_gradz, ao_overlap, int2_grad1_u12_ao)
!$OMP DO SCHEDULE (static)
do ipoint = 1, n_points_final_grid
tmp0_x = tmp_ct * j1e_dx(ipoint)
tmp0_y = tmp_ct * j1e_dy(ipoint)
tmp0_z = tmp_ct * j1e_dz(ipoint)
tmp0_x = tmp_ct * j1e_gradx(ipoint)
tmp0_y = tmp_ct * j1e_grady(ipoint)
tmp0_z = tmp_ct * j1e_gradz(ipoint)
do j = 1, ao_num
do i = 1, ao_num
int2_grad1_u12_ao(i,j,ipoint,1) = int2_grad1_u12_ao(i,j,ipoint,1) + tmp0_x * ao_overlap(i,j)
@ -217,7 +215,13 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_ao, (ao_num, ao_num, n_points_f
else
if((j2e_type .eq. "rs-dft") .and. (env_type .eq. "none")) then
FREE v_ij_erf_rk_cst_mu x_v_ij_erf_rk_cst_mu
elseif((j2e_type .eq. "rs-dft") .and. (env_type .eq. "prod-gauss")) then
FREE v_ij_erf_rk_cst_mu_env v_ij_u_cst_mu_env_an x_v_ij_erf_rk_cst_mu_env
elseif((j2e_type .eq. "rs-dft") .and. (env_type .eq. "sum-gauss")) then
FREE Ir2_rsdft_long_Du_0 Ir2_rsdft_long_Du_x Ir2_rsdft_long_Du_y Ir2_rsdft_long_Du_z Ir2_rsdft_gauss_Du Ir2_rsdft_long_Du_2
endif
endif ! j1e_type
@ -519,7 +523,7 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_square_ao, (ao_num, ao_num, n_p
PROVIDE elec_num
PROVIDE ao_overlap
PROVIDE j1e_dx j1e_dy j1e_dz
PROVIDE j1e_gradx j1e_grady j1e_gradz
tmp_ct1 = 1.0d0 / (dsqrt(dacos(-1.d0)) * mu_erf)
tmp_ct2 = 1.0d0 / (dble(elec_num) - 1.d0)
@ -531,7 +535,7 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_square_ao, (ao_num, ao_num, n_p
!$OMP tmp0_x, tmp0_y, tmp0_z) &
!$OMP SHARED (ao_num, n_points_final_grid, final_grid_points, &
!$OMP tmp_ct1, tmp_ct2, env_val, env_grad, &
!$OMP j1e_dx, j1e_dy, j1e_dz, &
!$OMP j1e_gradx, j1e_grady, j1e_gradz, &
!$OMP Ir2_rsdft_long_Du_0, Ir2_rsdft_long_Du_2, &
!$OMP Ir2_rsdft_long_Du_x, Ir2_rsdft_long_Du_y, &
!$OMP Ir2_rsdft_long_Du_z, Ir2_rsdft_gauss_Du, &
@ -548,9 +552,9 @@ BEGIN_PROVIDER [double precision, int2_grad1_u12_square_ao, (ao_num, ao_num, n_p
dy1 = env_grad(2,ipoint)
dz1 = env_grad(3,ipoint)
dx2 = j1e_dx(ipoint)
dy2 = j1e_dy(ipoint)
dz2 = j1e_dz(ipoint)
dx2 = j1e_gradx(ipoint)
dy2 = j1e_grady(ipoint)
dz2 = j1e_gradz(ipoint)
dr12 = dx1*dx2 + dy1*dy2 + dz1*dz2

View File

@ -26,16 +26,20 @@ program test_non_h
!call test_v_ij_u_cst_mu_env_an()
call test_int2_grad1_u12_square_ao()
call test_int2_grad1_u12_ao()
!call test_int2_grad1_u12_square_ao()
!call test_int2_grad1_u12_ao()
call test_j1e_grad()
end
! ---
subroutine routine_fit
implicit none
integer :: i,nx
double precision :: dx,xmax,x,j_mu,j_mu_F_x_j,j_mu_fit_gauss
nx = 500
xmax = 5.d0
dx = xmax/dble(nx)
@ -48,6 +52,7 @@ subroutine routine_fit
end
! ---
subroutine test_ipp()
@ -561,7 +566,7 @@ subroutine test_int2_grad1_u12_square_ao()
print*, ' accuracy(%) = ', 100.d0 * accu / norm
return
end subroutine test_int2_grad1_u12_square_ao
end
! ---
@ -605,7 +610,108 @@ subroutine test_int2_grad1_u12_ao()
print*, ' accuracy(%) = ', 100.d0 * accu / norm
return
end subroutine test_int2_grad1_u12_ao
end
! ---
subroutine test_j1e_grad()
implicit none
integer :: i, j, ipoint
double precision :: g
double precision :: x_loops, x_dgemm, diff, thr, accu, norm
double precision, allocatable :: pa(:,:), Pb(:,:), Pt(:,:)
double precision, allocatable :: x(:), y(:), z(:)
PROVIDE int2_grad1_u2b_ao
PROVIDE mo_coef
allocate(Pa(ao_num,ao_num), Pb(ao_num,ao_num), Pt(ao_num,ao_num))
call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
, 0.d0, Pa, size(Pa, 1))
if(elec_alpha_num .eq. elec_beta_num) then
Pb = Pa
else
call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
, 0.d0, Pb, size(Pb, 1))
endif
Pt = Pa + Pa
g = 0.5d0 * (dble(elec_num) - 1.d0) / dble(elec_num)
allocate(x(n_points_final_grid), y(n_points_final_grid), z(n_points_final_grid))
do ipoint = 1, n_points_final_grid
x(ipoint) = 0.d0
y(ipoint) = 0.d0
z(ipoint) = 0.d0
do i = 1, ao_num
do j = 1, ao_num
x(ipoint) = x(ipoint) + g * Pt(i,j) * int2_grad1_u2b_ao(i,j,ipoint,1)
y(ipoint) = y(ipoint) + g * Pt(i,j) * int2_grad1_u2b_ao(i,j,ipoint,2)
z(ipoint) = z(ipoint) + g * Pt(i,j) * int2_grad1_u2b_ao(i,j,ipoint,3)
enddo
enddo
enddo
deallocate(Pa, Pb, Pt)
! ---
thr = 1d-10
norm = 0.d0
accu = 0.d0
do ipoint = 1, n_points_final_grid
x_loops = x (ipoint)
x_dgemm = j1e_gradx(ipoint)
diff = dabs(x_loops - x_dgemm)
if(diff .gt. thr) then
print *, ' problem in j1e_gradx on:', ipoint
print *, ' loops :', x_loops
print *, ' dgemm :', x_dgemm
stop
endif
accu += diff
norm += dabs(x_loops)
x_loops = y (ipoint)
x_dgemm = j1e_grady(ipoint)
diff = dabs(x_loops - x_dgemm)
if(diff .gt. thr) then
print *, ' problem in j1e_grady on:', ipoint
print *, ' loops :', x_loops
print *, ' dgemm :', x_dgemm
stop
endif
accu += diff
norm += dabs(x_loops)
x_loops = z (ipoint)
x_dgemm = j1e_gradz(ipoint)
diff = dabs(x_loops - x_dgemm)
if(diff .gt. thr) then
print *, ' problem in j1e_gradz on:', ipoint
print *, ' loops :', x_loops
print *, ' dgemm :', x_dgemm
stop
endif
accu += diff
norm += dabs(x_loops)
enddo
deallocate(x, y, z)
print*, ' accuracy(%) = ', 100.d0 * accu / norm
return
end
! ---