From 1221d48395b44af7f9523c7afe9a65af0e60fb5d Mon Sep 17 00:00:00 2001 From: eginer Date: Thu, 5 Sep 2024 22:01:22 +0200 Subject: [PATCH] failure attempts in mu(r) --- plugins/local/jastrow/EZFIO.cfg | 8 +- .../local/non_h_ints_mu/deb_deriv_mu.irp.f | 28 +++ plugins/local/non_h_ints_mu/deb_j_bump.irp.f | 98 ++++++++++ plugins/local/non_h_ints_mu/deb_j_gauss.irp.f | 62 ++++++ plugins/local/non_h_ints_mu/deb_j_mu_of_r | Bin 8155256 -> 0 bytes .../local/non_h_ints_mu/deb_j_mu_of_r.irp.f | 50 ++--- plugins/local/non_h_ints_mu/j_bump.irp.f | 90 +++++++++ plugins/local/non_h_ints_mu/jast_deriv.irp.f | 2 +- .../non_h_ints_mu/jast_deriv_mu_of_r.irp.f | 176 ++++++++++++++++-- .../non_h_ints_mu/jast_deriv_utils.irp.f | 136 ++++++++++---- .../non_h_ints_mu/jast_deriv_utils_vect.irp.f | 118 +++++++++--- .../local/non_h_ints_mu/plot_j_gauss.irp.f | 59 ++++++ .../local/non_h_ints_mu/plot_mu_of_r.irp.f | 12 +- plugins/local/non_h_ints_mu/pot_j_gauss.irp.f | 146 +++++++++++++++ src/mu_of_r/mu_of_r_mean_field.irp.f | 3 + src/mu_of_r/test_proj_op.irp.f | 6 +- src/utils/constants.include.F | 3 + 17 files changed, 877 insertions(+), 120 deletions(-) create mode 100644 plugins/local/non_h_ints_mu/deb_deriv_mu.irp.f create mode 100644 plugins/local/non_h_ints_mu/deb_j_bump.irp.f create mode 100644 plugins/local/non_h_ints_mu/deb_j_gauss.irp.f delete mode 100755 plugins/local/non_h_ints_mu/deb_j_mu_of_r create mode 100644 plugins/local/non_h_ints_mu/j_bump.irp.f create mode 100644 plugins/local/non_h_ints_mu/plot_j_gauss.irp.f create mode 100644 plugins/local/non_h_ints_mu/pot_j_gauss.irp.f diff --git a/plugins/local/jastrow/EZFIO.cfg b/plugins/local/jastrow/EZFIO.cfg index 4fd833cf..1b616f02 100644 --- a/plugins/local/jastrow/EZFIO.cfg +++ b/plugins/local/jastrow/EZFIO.cfg @@ -1,8 +1,8 @@ [mu_of_r_tc] -type: logical -doc: If |true|, take the second formula for mu(r) +type: character*(32) +doc: type of the mu(r): [ Standard | Erfmu | Erfmugauss ] interface: ezfio,provider,ocaml -default: False +default: Standard [mu_of_r_av] type: logical @@ -12,7 +12,7 @@ default: False [j2e_type] type: character*(32) -doc: type of the 2e-Jastrow: [ None | Mu | Mu_Nu | Mur | Boys | Boys_Handy | Qmckl ] +doc: type of the 2e-Jastrow: [ None | Mu | Mugauss | Mu_Nu | Mur | Murgauss | Bump | Boys | Boys_Handy | Qmckl ] interface: ezfio,provider,ocaml default: Mu diff --git a/plugins/local/non_h_ints_mu/deb_deriv_mu.irp.f b/plugins/local/non_h_ints_mu/deb_deriv_mu.irp.f new file mode 100644 index 00000000..1c8d7198 --- /dev/null +++ b/plugins/local/non_h_ints_mu/deb_deriv_mu.irp.f @@ -0,0 +1,28 @@ +program test_j_mu_of_r + implicit none + double precision :: x,mu_min,dmu,mu_max, mu, mu_p, mu_m + double precision :: j_simple,j_p, j_m,numeric_d_mu,d_dx_mu + double precision :: accu + integer :: npt,i + npt = 1000 + mu_min = 0.3d0 + mu_max = 10.d0 + dmu = (mu_max - mu_min)/dble(npt) + x = 0.7d0 + mu = mu_min + do i = 1, npt + call get_deriv_mu_j12(x,mu,d_dx_mu) + mu_p = mu + dmu + mu_m = mu - dmu + j_p = j_simple(x,mu_p) + j_m = j_simple(x,mu_m) + numeric_d_mu = 0.5d0 * (j_p - j_m)/dmu + print*,mu + print*,numeric_d_mu,d_dx_mu,dabs(d_dx_mu-numeric_d_mu) + accu += dabs(d_dx_mu-numeric_d_mu) + mu += dmu + enddo + accu *= dmu + print*,'accu = ',accu +end + diff --git a/plugins/local/non_h_ints_mu/deb_j_bump.irp.f b/plugins/local/non_h_ints_mu/deb_j_bump.irp.f new file mode 100644 index 00000000..82872357 --- /dev/null +++ b/plugins/local/non_h_ints_mu/deb_j_bump.irp.f @@ -0,0 +1,98 @@ +program test_j_mu_of_r + implicit none +! call routine_test_mu_of_r + call routine_test_mu_of_r_tot +end + +subroutine routine_test_mu_of_r_tot + implicit none + integer :: ipoint,k + double precision :: r2(3), weight, dr, r1(3), r1bis(3) + double precision :: accu_grad(3) + double precision :: jast,grad_jast_mu_r1(3),j_bump + double precision :: jast_p,jast_m,num_grad_jast_mu_r1(3) + + dr = 0.00001d0 + r2 = 0.d0 + r2(1) = 0.5d0 + r2(2) = -0.1d0 + r2(3) = 1.0d0 + accu_grad = 0.d0 + do ipoint = 1, n_points_final_grid + r1(1:3) = final_grid_points(1:3,ipoint) + weight = final_weight_at_r_vector(ipoint) +! call grad_j_sum_mu_of_r(r1,r2,jast,grad_jast_mu_r1) + call get_grad_j_bump_mu_of_r(r1,r2,grad_jast_mu_r1) + double precision :: norm,error + norm = 0.D0 + do k = 1, 3 + r1bis= r1 + r1bis(k) += dr + jast_p = j_bump(r1bis,r2,a_boys) + + r1bis= r1 + r1bis(k) -= dr + jast_m = j_bump(r1bis,r2,a_boys) + + num_grad_jast_mu_r1(k) = (jast_p - jast_m)/(2.d0* dr) + norm += num_grad_jast_mu_r1(k)*num_grad_jast_mu_r1(k) + enddo + error = 0.d0 + do k = 1, 3 + error += dabs(grad_jast_mu_r1(k) - num_grad_jast_mu_r1(k)) + enddo + error *= 0.33333333d0 + norm = dsqrt(norm) + if(norm.gt.1.d-05)then + if(dabs(error/norm).gt.dr)then + print*,'/////' + print*,error,norm + print*,grad_jast_mu_r1 + print*,num_grad_jast_mu_r1 + endif + endif + do k = 1,3 + accu_grad(k) += weight * dabs(grad_jast_mu_r1(k) - num_grad_jast_mu_r1(k)) + enddo + enddo + print*,'accu_grad = ' + print*, accu_grad + +end + +subroutine routine_test_mu_of_r + implicit none + integer :: ipoint,k + double precision :: weight, dr, r1(3), r1bis(3),accu_grad(3),num_grad_mu_r1(3) + double precision :: mu_r1,dm_r1, mu_der_r1(3), grad_dm_r1(3) + double precision :: mu_der_rp(3), grad_dm_rp(3),mu_rp + double precision :: mu_der_rm(3), grad_dm_rm(3),mu_rm + + dr = 0.0001d0 + accu_grad = 0.d0 + do ipoint = 1, n_points_final_grid + r1(1:3) = final_grid_points(1:3,ipoint) + weight = final_weight_at_r_vector(ipoint) + call grad_mu_of_r_mean_field(r1,mu_r1,dm_r1, mu_der_r1, grad_dm_r1) + do k = 1, 3 + r1bis= r1 + r1bis(k) += dr + call grad_mu_of_r_mean_field(r1bis,mu_rp, dm_r1, mu_der_rp, grad_dm_r1) + + r1bis= r1 + r1bis(k) -= dr + call grad_mu_of_r_mean_field(r1bis,mu_rm, dm_r1, mu_der_rm, grad_dm_r1) + num_grad_mu_r1(k) = (mu_rp - mu_rm)/(2.d0* dr) +! print*,jast_mu_r1_p,jast_mu_r1_m + enddo + print*,'/////' + print*,mu_der_r1 + print*,num_grad_mu_r1 + do k = 1,3 + accu_grad(k) += weight * dabs(mu_der_r1(k) - num_grad_mu_r1(k)) + enddo + enddo + print*,'accu_grad = ' + print*, accu_grad + +end diff --git a/plugins/local/non_h_ints_mu/deb_j_gauss.irp.f b/plugins/local/non_h_ints_mu/deb_j_gauss.irp.f new file mode 100644 index 00000000..264a6f04 --- /dev/null +++ b/plugins/local/non_h_ints_mu/deb_j_gauss.irp.f @@ -0,0 +1,62 @@ +program test_j_mu_of_r + implicit none +! call routine_test_mu_of_r + call routine_test_mu_of_r_tot +end + +subroutine routine_test_mu_of_r_tot + implicit none + integer :: ipoint,k + double precision :: r2(3), weight, dr, r1(3), r1bis(3) + double precision :: accu_grad(3) + double precision :: jast,grad_jast(3),j_bump,j12_mu + double precision :: jast_p,jast_m,num_grad_jast(3) + + dr = 0.00001d0 + r2 = 0.d0 + r2(1) = 0.5d0 + r2(2) = -0.1d0 + r2(3) = 1.0d0 + accu_grad = 0.d0 + do ipoint = 1, n_points_final_grid + r1(1:3) = final_grid_points(1:3,ipoint) + weight = final_weight_at_r_vector(ipoint) + call grad1_j12_mu(r1, r2, grad_jast) + grad_jast = - grad_jast + double precision :: norm,error + norm = 0.D0 + do k = 1, 3 + r1bis= r1 + r1bis(k) += dr + jast_p = j12_mu(r1bis, r2) + + r1bis= r1 + r1bis(k) -= dr + jast_m = j12_mu(r1bis, r2) + + num_grad_jast(k) = (jast_p - jast_m)/(2.d0* dr) + norm += num_grad_jast(k)*num_grad_jast(k) + enddo + error = 0.d0 + do k = 1, 3 + error += dabs(grad_jast(k) - num_grad_jast(k)) + enddo + error *= 0.33333333d0 + norm = dsqrt(norm) + if(norm.gt.1.d-05)then + if(dabs(error/norm).gt.dr)then + print*,'/////' + print*,error,norm + print*,grad_jast + print*,num_grad_jast + endif + endif + do k = 1,3 + accu_grad(k) += weight * dabs(grad_jast(k) - num_grad_jast(k)) + enddo + enddo + print*,'accu_grad = ' + print*, accu_grad + +end + diff --git a/plugins/local/non_h_ints_mu/deb_j_mu_of_r b/plugins/local/non_h_ints_mu/deb_j_mu_of_r deleted file mode 100755 index f972858392ecf56d0240ce5baaa7e6e0ad11a366..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 8155256 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a/plugins/local/non_h_ints_mu/deb_j_mu_of_r.irp.f b/plugins/local/non_h_ints_mu/deb_j_mu_of_r.irp.f index 480855e9..fc29bf50 100644 --- a/plugins/local/non_h_ints_mu/deb_j_mu_of_r.irp.f +++ b/plugins/local/non_h_ints_mu/deb_j_mu_of_r.irp.f @@ -12,7 +12,7 @@ subroutine routine_test_mu_of_r_tot double precision :: jast,grad_jast_mu_r1(3) double precision :: jast_p,jast_m,num_grad_jast_mu_r1(3) - dr = 0.00001d0 + dr = 0.000001d0 r2 = 0.d0 r2(1) = 0.5d0 r2(2) = -0.1d0 @@ -22,7 +22,7 @@ subroutine routine_test_mu_of_r_tot r1(1:3) = final_grid_points(1:3,ipoint) weight = final_weight_at_r_vector(ipoint) call grad_j_sum_mu_of_r(r1,r2,jast,grad_jast_mu_r1) - double precision :: norm + double precision :: norm,error norm = 0.D0 do k = 1, 3 r1bis= r1 @@ -36,11 +36,19 @@ subroutine routine_test_mu_of_r_tot num_grad_jast_mu_r1(k) = (jast_p - jast_m)/(2.d0* dr) norm += num_grad_jast_mu_r1(k)*num_grad_jast_mu_r1(k) enddo + error = 0.d0 + do k = 1, 3 + error += dabs(grad_jast_mu_r1(k) - num_grad_jast_mu_r1(k)) + enddo + error *= 0.33333333d0 norm = dsqrt(norm) - if(norm.gt.1.d-10)then - print*,'/////' - print*,grad_jast_mu_r1 - print*,num_grad_jast_mu_r1 + if(norm.gt.1.d-05)then + if(dabs(error/norm).gt.10.d0*dr)then + print*,'/////' + print*,error,norm,dabs(error/norm) + print*,grad_jast_mu_r1 + print*,num_grad_jast_mu_r1 + endif endif do k = 1,3 accu_grad(k) += weight * dabs(grad_jast_mu_r1(k) - num_grad_jast_mu_r1(k)) @@ -54,41 +62,33 @@ end subroutine routine_test_mu_of_r implicit none integer :: ipoint,k - double precision :: r2(3), weight, dr, r1(3), r1bis(3) - double precision :: accu_grad(3) - double precision :: jast_mu_r1,grad_jast_mu_r1(3) - double precision :: jast_mu_r1_p,jast_mu_r1_m,num_grad_jast_mu_r1(3) - double precision :: j12_mu_input - double precision :: mu_val_p, mu_val_m, dm_r1, mu_der(3), grad_dm_r1(3) + double precision :: weight, dr, r1(3), r1bis(3),accu_grad(3),num_grad_mu_r1(3) + double precision :: mu_r1,dm_r1, mu_der_r1(3), grad_dm_r1(3) + double precision :: mu_der_rp(3), grad_dm_rp(3),mu_rp + double precision :: mu_der_rm(3), grad_dm_rm(3),mu_rm dr = 0.0001d0 - r2 = 0.d0 - r2(1) = 2.5d0 - r2(2) = 2.25d0 - r2(3) = -2.5d0 accu_grad = 0.d0 do ipoint = 1, n_points_final_grid r1(1:3) = final_grid_points(1:3,ipoint) weight = final_weight_at_r_vector(ipoint) - call grad_j_mu_of_r_1(r1,r2,jast_mu_r1,grad_jast_mu_r1, dm_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r1,mu_r1,dm_r1, mu_der_r1, grad_dm_r1) do k = 1, 3 r1bis= r1 r1bis(k) += dr - call grad_mu_of_r_mean_field(r1bis,mu_val_p, dm_r1, mu_der, grad_dm_r1) - jast_mu_r1_p = j12_mu_input(r1bis, r2, mu_val_p) + call grad_mu_of_r_mean_field(r1bis,mu_rp, dm_r1, mu_der_rp, grad_dm_r1) r1bis= r1 r1bis(k) -= dr - call grad_mu_of_r_mean_field(r1bis,mu_val_m, dm_r1, mu_der, grad_dm_r1) - jast_mu_r1_m = j12_mu_input(r1bis, r2, mu_val_m) - num_grad_jast_mu_r1(k) = -(jast_mu_r1_p - jast_mu_r1_m)/(2.d0* dr) + call grad_mu_of_r_mean_field(r1bis,mu_rm, dm_r1, mu_der_rm, grad_dm_r1) + num_grad_mu_r1(k) = (mu_rp - mu_rm)/(2.d0* dr) ! print*,jast_mu_r1_p,jast_mu_r1_m enddo print*,'/////' - print*,grad_jast_mu_r1 - print*,num_grad_jast_mu_r1 + print*,mu_der_r1 + print*,num_grad_mu_r1 do k = 1,3 - accu_grad(k) += weight * dabs(grad_jast_mu_r1(k) - num_grad_jast_mu_r1(k)) + accu_grad(k) += weight * dabs(mu_der_r1(k) - num_grad_mu_r1(k)) enddo enddo print*,'accu_grad = ' diff --git a/plugins/local/non_h_ints_mu/j_bump.irp.f b/plugins/local/non_h_ints_mu/j_bump.irp.f new file mode 100644 index 00000000..1731bb72 --- /dev/null +++ b/plugins/local/non_h_ints_mu/j_bump.irp.f @@ -0,0 +1,90 @@ +double precision function wigner_radius(rho) + implicit none + include 'constants.include.F' + double precision, intent(in) :: rho + wigner_radius = 4.d0 * pi * rho * 0.333333333333d0 + wigner_radius = wigner_radius**(-0.3333333d0) +end + +double precision function j_bump(r1,r2,a) + implicit none + include 'constants.include.F' + double precision, intent(in) :: r1(3),r2(3),a + double precision :: inv_a,factor,x_scaled,scalar + double precision :: r12 + r12 = (r1(1) - r2(1))*(r1(1) - r2(1)) + r12 += (r1(2) - r2(2))*(r1(2) - r2(2)) + r12 += (r1(3) - r2(3))*(r1(3) - r2(3)) + r12 = dsqrt(r12) + inv_a = 1.d0/a + x_scaled = r12*inv_a*inv_sq_pi + x_scaled*= x_scaled + j_bump = 0.5d0 * (r12-a) * dexp(-x_scaled) +end + +subroutine get_grad_j_bump(x,a,grad) + implicit none + BEGIN_DOC + ! gradient of the Jastrow with a bump + ! + ! j(x,a) = 1/2 * (x-a)* exp[-(x/(a*sqrt(pi)))^2] + ! + ! d/dx j(x,a) = 1/(2 pi a^2) * exp[-(x/(a*sqrt(pi)))^2] * (pi a^2 + 2 a x - 2x^2) + END_DOC + include 'constants.include.F' + double precision, intent(in) :: x,a + double precision, intent(out) :: grad + double precision :: inv_a,factor,x_scaled,scalar + inv_a = 1.d0/a + factor = 0.5d0*inv_pi*inv_a*inv_a + x_scaled = x*inv_a*inv_sq_pi + x_scaled*= x_scaled + grad = factor * dexp(-x_scaled) * (pi*a*a + 2.d0 * a*x - 2.d0*x*x) +end + +subroutine get_d_da_j_bump(x,a,d_da) + implicit none + BEGIN_DOC + ! Derivative with respect by to the parameter "a" of the Jastrow with a bump + ! + ! j(x,a) = 1/2 * (x-a)* exp[-(x/(a*sqrt(pi)))^2] + ! + ! d/da j(x,a) = - 1/(pi*a^3) * exp[-(x/(a*sqrt(pi)))^2] * (-2 x^3 + 2 a x^2 + pi a^x3) + END_DOC + include 'constants.include.F' + double precision, intent(in) :: x,a + double precision, intent(out) :: d_da + double precision :: factor, inv_a,x_scaled,scalar + inv_a = 1.d0/a + factor = inv_a*inv_a*inv_a*inv_pi + x_scaled = x*inv_a*inv_sq_pi + x_scaled*= x_scaled + d_da = factor * dexp(-x_scaled) * (-2.d0 * x*x*x + 2.d0*x*x*a+pi*a*a*a) +end + +subroutine get_grad_j_bump_mu_of_r(r1,r2,grad_j_bump) + implicit none + BEGIN_DOC + ! d/dx1 j(x,a(r1,r2)) where j(x,a) is the Jastrow with a bump + ! + ! j(x,a) = 1/2 * (x-a)* exp[-(x/(a*sqrt(pi)))^2] + ! + ! a(r1,r2) = [rho(r1) a(r1) + rho(r2) a(r2)]/[rho(r1) + rho(r2)] + ! + ! d/dx1 j(x,a) = d/dx1 j(x,a(r1,r2)) + END_DOC + double precision, intent(in) :: r1(3),r2(3) + double precision, intent(out):: grad_j_bump(3) + double precision :: r12,r12_vec(3),grad_scal,inv_r12 + r12_vec = r1 - r2 + r12 = (r1(1) - r2(1))*(r1(1) - r2(1)) + r12 += (r1(2) - r2(2))*(r1(2) - r2(2)) + r12 += (r1(3) - r2(3))*(r1(3) - r2(3)) + r12 = dsqrt(r12) + call get_grad_j_bump(r12,a_boys,grad_scal) + if(r12.lt.1.d-10)then + grad_j_bump = 0.d0 + else + grad_j_bump = grad_scal * r12_vec/r12 + endif +end diff --git a/plugins/local/non_h_ints_mu/jast_deriv.irp.f b/plugins/local/non_h_ints_mu/jast_deriv.irp.f index 9a430135..1f97c18a 100644 --- a/plugins/local/non_h_ints_mu/jast_deriv.irp.f +++ b/plugins/local/non_h_ints_mu/jast_deriv.irp.f @@ -31,7 +31,7 @@ grad1_u12_squared_num = 0.d0 if( ((j2e_type .eq. "Mu") .and. (env_type .eq. "None")) .or. & - (j2e_type .eq. "Mur") ) then + (j2e_type .eq. "Mur").or.(j2e_type .eq. "Mugauss") .or. (j2e_type .eq. "Murgauss")) then !$OMP PARALLEL & !$OMP DEFAULT (NONE) & diff --git a/plugins/local/non_h_ints_mu/jast_deriv_mu_of_r.irp.f b/plugins/local/non_h_ints_mu/jast_deriv_mu_of_r.irp.f index d45c899a..8f5aee0c 100644 --- a/plugins/local/non_h_ints_mu/jast_deriv_mu_of_r.irp.f +++ b/plugins/local/non_h_ints_mu/jast_deriv_mu_of_r.irp.f @@ -4,19 +4,48 @@ subroutine get_j_sum_mu_of_r(r1,r2,jast) double precision, intent(out):: jast double precision :: mu_r1, dm_r1, grad_mu_r1(3), grad_dm_r1(3), j_mu_r1 double precision :: mu_r2, dm_r2, grad_mu_r2(3), grad_dm_r2(3), j_mu_r2 - double precision :: j12_mu_input + double precision :: j12_mu_input,mu_tot,r12,j_simple jast = 0.d0 - call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) - call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) - j_mu_r1 = j12_mu_input(r1, r2, mu_r1) - j_mu_r2 = j12_mu_input(r1, r2, mu_r2) - if(dm_r1 + dm_r2.lt.1.d-7)return - jast = (dm_r1 * j_mu_r1 + dm_r2 * j_mu_r2) / (dm_r1 + dm_r2) + if(murho_type==0)then +! J(r1,r2) = [rho(r1) * j(mu(r1),r12) + rho(r2) * j(mu(r2),r12)] / [rho(r1) + rho(r2)] + call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) + j_mu_r1 = j12_mu_input(r1, r2, mu_r1) + j_mu_r2 = j12_mu_input(r1, r2, mu_r2) + if(dm_r1 + dm_r2.lt.1.d-7)return + jast = (dm_r1 * j_mu_r1 + dm_r2 * j_mu_r2) / (dm_r1 + dm_r2) + else if(murho_type==1)then +! J(r1,r2) = j(0.5 * (mu(r1)+mu(r2)),r12), MU(r1,r2) = 0.5 *(mu(r1)+mu(r2)) + call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) + mu_tot = 0.5d0 * (mu_r1 + mu_r2) + jast = j12_mu_input(r1, r2, mu_tot) + else if(murho_type==2)then +! MU(r1,r2) = (rho(1) * mu(r1)+ rho(2) * mu(r2))/(rho(1)+rho(2)) +! J(r1,r2) = j(MU(r1,r2),r12) + call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) + double precision :: mu_tmp, dm_tot, dm_tot_inv + dm_tot = dm_r1**a_boys + dm_r2**a_boys ! rho(1)**alpha+rho(2)**alpha + if(dm_tot.lt.1.d-12)then + dm_tot_inv = 1.d+12 + else + dm_tot_inv = 1.d0/dm_tot + endif + mu_tmp = dm_r1**a_boys * mu_r1 + dm_r2**a_boys * mu_r2 !rho(1)**alpha * mu(r1)+ rho(2)**alpha * mu(r2) + mu_tot = nu_erf * mu_tmp*dm_tot_inv ! + r12 = (r1(1) - r2(1)) * (r1(1) - r2(1)) + r12 += (r1(2) - r2(2)) * (r1(2) - r2(2)) + r12 += (r1(3) - r2(3)) * (r1(3) - r2(3)) + r12 = dsqrt(r12) + jast = j_simple(r12,mu_tot) + endif end subroutine grad_j_sum_mu_of_r(r1,r2,jast,grad_jast) implicit none + include 'constants.include.F' BEGIN_DOC END_DOC double precision, intent(in) :: r1(3),r2(3) @@ -26,8 +55,25 @@ subroutine grad_j_sum_mu_of_r(r1,r2,jast,grad_jast) double precision :: num, denom, grad_num(3), grad_denom(3) double precision :: j_r1, grad_j_r1(3),j_r2, grad_j_r2(3) double precision :: dm_r1, grad_dm_r1(3), grad_jmu_r2(3) - double precision :: dm_r2, grad_dm_r2(3),mu_r2, grad_mu_r2(3) - double precision :: j12_mu_input + double precision :: dm_r2, grad_dm_r2(3),mu_r2, grad_mu_r2(3),mu_r1 + double precision :: j12_mu_input,r12,grad_mu_r1(3),grad_jmu_r1(3) + double precision :: mu_tot,dx,dy,dz,r12_vec(3),d_dmu_j,d_dr12_j + + dx = r1(1) - r2(1) + dy = r1(2) - r2(2) + dz = r1(3) - r2(3) + + r12 = dsqrt(dx * dx + dy * dy + dz * dz) + if(r12.gt.1.d-10)then + r12_vec(1) = dx + r12_vec(2) = dy + r12_vec(3) = dz + r12_vec *= 1.d0/r12 + ! r12_vec = grad_r1 (r12) + else + r12 = 1.d-10 + r12_vec = 0.d0 + endif if(murho_type==0)then ! J(r1,r2) = [rho(r1) * j(mu(r1),r12) + rho(r2) * j(mu(r2),r12)] / [rho(r1) + rho(r2)] @@ -48,11 +94,65 @@ subroutine grad_j_sum_mu_of_r(r1,r2,jast,grad_jast) jast = num / denom grad_denom = grad_dm_r1 - - call grad_j12_mu_input(r1, r2, mu_r2, grad_jmu_r2) + call grad_j12_mu_input(r1, r2, mu_r2, grad_jmu_r2,r12) grad_num = j_r1 * grad_dm_r1 + dm_r1 * grad_j_r1 + dm_r2 * grad_jmu_r2 - grad_jast = (grad_num * denom - num * grad_denom)/(denom*denom) + else if(murho_type==1)then +! J(r1,r2) = j(0.5 * (mu(r1)+mu(r2)),r12), MU(r1,r2) = 0.5 *(mu(r1)+mu(r2)) +! +! d/dx1 J(r1,r2) = d/dx1 j(MU(r1,r2),r12)|MU=cst +! + d/dMU [j(MU,r12)] +! x d/d(mu(r1)) MU(r1,r2) +! x d/dx1 mu(r1) +! = 0.5 * (1 - erf(MU(r1,r2) *r12))/r12 * (x1 - x2) == grad_jmu_r1 +! + e^{-(r12*MU(r1,r2))^2}/(2 sqrt(pi) * MU(r1,r2)^2) +! x 0.5 +! x d/dx1 mu(r1) + call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) + mu_tot = 0.5d0 * (mu_r1 + mu_r2) + call grad_j12_mu_input(r1, r2, mu_tot, grad_jmu_r1,r12) + grad_jast = grad_jmu_r1 + grad_jast+= dexp(-r12*mu_tot*r12*mu_tot) * inv_sq_pi_2 /(mu_tot* mu_tot) * 0.5d0 * grad_mu_r1 + else if(murho_type==2)then +! MU(r1,r2) = beta * (rho(1)**alpha * mu(r1)+ rho(2)**alpha * mu(r2))/(rho(1)**alpha+rho(2)**alpha) +! J(r1,r2) = j(MU(r1,r2),r12) +! +! d/dx1 J(r1,r2) = d/dx1 j(MU(r1,r2),r12)|MU=cst +! + d/dMU [j(MU,r12)] +! x d/d(mu(r1)) MU(r1,r2) +! x d/dx1 mu(r1) +! = 0.5 * (1 - erf(MU(r1,r2) *r12))/r12 * (x1 - x2) == grad_jmu_r1 +! + 0.5 e^{-(r12*MU(r1,r2))^2}/(2 sqrt(pi) * MU(r1,r2)^2) +! x d/dx1 MU(r1,r2) +! with d/dx1 MU(r1,r2) = beta * {[mu(1) d/dx1 [rho(1)**alpha] + rho(1)**alpha * d/dx1 mu(1)](rho(1)**alpha+rho(2)**alpha) +! - MU(1,2) d/dx1 [rho(1)]**alpha}/(rho(1)**alpha+rho(2)**alpha)^2 +! d/dx1 [rho(1)]**alpha = alpha [rho(1)]**(alpha-1) d/dx1 rho(1) +! + call grad_mu_of_r_mean_field(r1,mu_r1, dm_r1, grad_mu_r1, grad_dm_r1) + call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) + double precision :: dm_tot,dm_tot_inv,grad_mu_tot(3),mu_tmp,grad_dm_r1_alpha(3),d_dx_j + dm_tot = dm_r1**a_boys + dm_r2**a_boys ! rho(1)**alpha+rho(2)**alpha + grad_dm_r1_alpha = a_boys * dm_r1**(a_boys-1) * grad_dm_r1 + if(dm_tot.lt.1.d-12)then + dm_tot_inv = 1.d+12 + else + dm_tot_inv = 1.d0/dm_tot + endif + mu_tmp = dm_r1**a_boys * mu_r1 + dm_r2**a_boys * mu_r2 !rho(1)**alpha * mu(r1)+ rho(2)**alpha * mu(r2) + mu_tot = nu_erf * mu_tmp*dm_tot_inv ! + grad_mu_tot = ( mu_r1 * grad_dm_r1_alpha + dm_r1**a_boys * grad_mu_r1 ) * dm_tot & + - mu_tmp * grad_dm_r1_alpha + grad_mu_tot *= dm_tot_inv * dm_tot_inv * nu_erf + call get_deriv_r12_j12(r12,mu_tot,d_dr12_j) ! d/dr12 j(MU(r1,r2,r12) + ! d/dx1 j(MU(r1,r2),r12) | MU(r1,r2) = cst + ! d/dr12 j(MU(r1,r2,r12) x d/dx1 r12 + grad_jmu_r1 = d_dr12_j * r12_vec +! call grad_j12_mu_input(r1, r2, mu_tot, grad_jmu_r1,r12) + grad_jast = grad_jmu_r1 + ! d/dMU j(MU(r1,r2),r12) + call get_deriv_mu_j12(r12,mu_tot,d_dmu_j) + grad_jast+= d_dmu_j * grad_mu_tot else if(murho_type==-1)then ! J(r1,r2) = 0.5 * [j(mu(r1),r12) + j(mu(r2),r12)] ! @@ -60,7 +160,7 @@ subroutine grad_j_sum_mu_of_r(r1,r2,jast,grad_jast) call grad_j_mu_of_r_1(r1,r2,j_r1, grad_j_r1,dm_r1, grad_dm_r1) call grad_mu_of_r_mean_field(r2,mu_r2, dm_r2, grad_mu_r2, grad_dm_r2) j_r2 = j12_mu_input(r1, r2, mu_r2) ! j(mu(r2),r1,r2) - call grad_j12_mu_input(r1, r2, mu_r2, grad_jmu_r2) + call grad_j12_mu_input(r1, r2, mu_r2, grad_jmu_r2,r12) jast = 0.5d0 * (j_r1 + j_r2) grad_jast = 0.5d0 * (grad_j_r1 + grad_jmu_r2) @@ -73,6 +173,7 @@ subroutine grad_j_mu_of_r_1(r1,r2,jast, grad_jast, dm_r1, grad_dm_r1) include 'constants.include.F' BEGIN_DOC ! grad_r1 of j(mu(r1),r12) + ! ! ! d/dx1 j(mu(r1),r12) = exp(-(mu(r1)*r12)**2) /(2 *sqrt(pi) * mu(r1)**2 ) d/dx1 mu(r1) ! + d/dx1 j(mu(r1),r12) @@ -83,6 +184,8 @@ subroutine grad_j_mu_of_r_1(r1,r2,jast, grad_jast, dm_r1, grad_dm_r1) ! ! and d/dx1 j(mu,r12) = 0.5 * (1 - erf(mu *r12))/r12 * (x1 - x2) ! + ! d/d mu j(mu,r12) = e^{-(r12*mu)^2}/(2 sqrt(pi) * mu^2) + ! ! here mu(r1) is obtained by MU MEAN FIELD END_DOC double precision, intent(in) :: r1(3),r2(3) @@ -140,14 +243,16 @@ double precision function j12_mu_input(r1, r2, mu) end -subroutine grad_j12_mu_input(r1, r2, mu, grad_jmu) +subroutine grad_j12_mu_input(r1, r2, mu, grad_jmu,r12) implicit none BEGIN_DOC - ! grad_jmu = + ! grad_jmu = d/dx1 j(mu,r12) assuming mu=cst(r1) + ! + ! = 0.5/r_12 * (x_1 - x_2) * [1 - erf(mu*r12)] END_DOC double precision, intent(in) :: r1(3), r2(3), mu - double precision, intent(out):: grad_jmu(3) - double precision :: mu_tmp, r12, dx, dy, dz, grad(3), tmp + double precision, intent(out):: grad_jmu(3),r12 + double precision :: mu_tmp, dx, dy, dz, grad(3), tmp grad_jmu = 0.d0 dx = r1(1) - r2(1) dy = r1(2) - r2(2) @@ -162,3 +267,40 @@ subroutine grad_j12_mu_input(r1, r2, mu, grad_jmu) grad_jmu = grad end + +subroutine j12_and_grad_j12_mu_input(r1, r2, mu, jmu, grad_jmu) + implicit none + include 'constants.include.F' + BEGIN_DOC + ! jmu = j(mu,r12) + ! grad_jmu = d/dx1 j(mu,r12) assuming mu=cst(r1) + ! + ! = 0.5/r_12 * (x_1 - x_2) * [1 - erf(mu*r12)] + END_DOC + double precision, intent(in) :: r1(3), r2(3), mu + double precision, intent(out):: grad_jmu(3), jmu + double precision :: mu_tmp, r12, dx, dy, dz, grad(3), tmp + double precision :: erfc_mur12,inv_mu + inv_mu = 1.d0/mu + + grad_jmu = 0.d0 ! initialization when r12 --> 0 + jmu = - inv_sq_pi_2 * inv_mu ! initialization when r12 --> 0 + + dx = r1(1) - r2(1) + dy = r1(2) - r2(2) + dz = r1(3) - r2(3) + r12 = dsqrt(dx * dx + dy * dy + dz * dz) + if(r12 .lt. 1d-10) return + erfc_mur12 = (1.d0 - derf(mu_tmp)) + mu_tmp = mu * r12 + tmp = 0.5d0 * erfc_mur12 / r12 ! d/dx1 j(mu(r1),r12) + grad(1) = tmp * dx + grad(2) = tmp * dy + grad(3) = tmp * dz + + grad_jmu = grad + + jmu= 0.5d0 * r12 * erfc_mur12 - inv_sq_pi_2 * dexp(-mu_tmp*mu_tmp) * inv_mu + + +end diff --git a/plugins/local/non_h_ints_mu/jast_deriv_utils.irp.f b/plugins/local/non_h_ints_mu/jast_deriv_utils.irp.f index c3fc91a6..f13990de 100644 --- a/plugins/local/non_h_ints_mu/jast_deriv_utils.irp.f +++ b/plugins/local/non_h_ints_mu/jast_deriv_utils.irp.f @@ -1,3 +1,65 @@ +subroutine get_deriv_r12_j12(x,mu,d_dx_j) + implicit none + include 'constants.include.F' + BEGIN_DOC + ! d/dr12 j(mu,r12) + END_DOC + double precision, intent(in) :: x,mu + double precision, intent(out) :: d_dx_j + + d_dx_j = 0.d0 + if(x .lt. 1d-10) return + if(j2e_type .eq. "Mu" .or. j2e_type .eq. "Mur") then + d_dx_j = 0.5d0 * (1.d0 - derf(mu * x)) + else if(j2e_type .eq. "Mugauss" .or. j2e_type .eq. "Murgauss" ) then + double precision :: x_tmp + x_tmp = mu * x + ! gradient of j(mu,x) + d_dx_j = 0.5d0 * (1.d0 - derf(x_tmp)) + + ! gradient of gaussian additional term + x_tmp *= alpha_mu_gauss + x_tmp *= x_tmp + d_dx_j += -0.5d0 * mu * c_mu_gauss * x * dexp(-x_tmp) + else + print *, ' Error in get_deriv_r12_j12: Unknown j2e_type = ', j2e_type + stop + endif +end + + +subroutine get_deriv_mu_j12(x,mu,d_d_mu) + implicit none + BEGIN_DOC + ! d/dmu j(mu,r12) + END_DOC + include 'constants.include.F' + double precision, intent(in) :: x,mu + double precision, intent(out) :: d_d_mu + double precision :: x_tmp,inv_mu_2,inv_alpha_2 + + d_d_mu = 0.d0 + if(x .lt. 1d-10) return + x_tmp = x*mu + if(mu.lt.1.d-10) return + inv_mu_2 = mu*mu + inv_mu_2 = 1.d0/inv_mu_2 + if(j2e_type .eq. "Mu" .or. j2e_type .eq. "Mur") then + ! e^{-(r12*mu)^2}/(2 sqrt(pi) * mu^2) + d_d_mu = dexp(-x_tmp*x_tmp) * inv_sq_pi_2 * inv_mu_2 + else if(j2e_type .eq. "Mugauss" .or. j2e_type .eq. "Murgauss" ) then + d_d_mu = dexp(-x_tmp*x_tmp) * inv_sq_pi_2 * inv_mu_2 + inv_alpha_2 = 1.d0/alpha_mu_gauss + inv_alpha_2 *= inv_alpha_2 + x_tmp *= alpha_mu_gauss + x_tmp *= x_tmp + d_d_mu += -0.25d0 * c_mu_gauss*inv_alpha_2*dexp(-x_tmp) * (1.d0 + 2.d0 * x_tmp) * inv_mu_2 + else + print *, ' Error in get_deriv_r12_j12: Unknown j2e_type = ', j2e_type + stop + endif +end + ! --- @@ -21,6 +83,18 @@ double precision function j12_mu(r1, r2) j12_mu = 0.5d0 * r12 * (1.d0 - derf(mu_tmp)) - inv_sq_pi_2 * dexp(-mu_tmp*mu_tmp) / mu_erf + else if(j2e_type .eq. "Mugauss") then + + r12 = dsqrt( (r1(1) - r2(1)) * (r1(1) - r2(1)) & + + (r1(2) - r2(2)) * (r1(2) - r2(2)) & + + (r1(3) - r2(3)) * (r1(3) - r2(3)) ) + double precision :: r12_tmp + r12_tmp = mu_erf * r12 + + j12_mu = 0.5d0 * r12 * (1.d0 - derf(r12_tmp)) - inv_sq_pi_2 * dexp(-r12_tmp*r12_tmp) / mu_erf + r12_tmp *= alpha_mu_gauss + j12_mu += 0.25d0 * c_mu_gauss / (alpha_mu_gauss*alpha_mu_gauss*mu_erf) * dexp(-r12_tmp*r12_tmp) + else print *, ' Error in j12_mu: Unknown j2e_type = ', j2e_type @@ -60,7 +134,7 @@ subroutine grad1_j12_mu(r1, r2, grad) grad = 0.d0 - if(j2e_type .eq. "Mu") then + if(j2e_type .eq. "Mu".or.j2e_type .eq. "Mugauss") then dx = r1(1) - r2(1) dy = r1(2) - r2(2) @@ -69,48 +143,42 @@ subroutine grad1_j12_mu(r1, r2, grad) r12 = dsqrt(dx * dx + dy * dy + dz * dz) if(r12 .lt. 1d-10) return - tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12 + call get_deriv_r12_j12(r12,mu_erf,tmp) +! tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12 grad(1) = tmp * dx grad(2) = tmp * dy grad(3) = tmp * dz + grad *= 1.d0/r12 - elseif(j2e_type .eq. "Mur") then + elseif(j2e_type .eq. "Mur" .or. j2e_type .eq. "Murgauss") then double precision :: jast call grad_j_sum_mu_of_r(r1,r2,jast,grad) + + elseif(j2e_type .eq. "Bump") then + double precision ::grad_jast(3) + call get_grad_j_bump_mu_of_r(r1,r2,grad_jast) + dx = r1(1) - r2(1) + dy = r1(2) - r2(2) + dz = r1(3) - r2(3) -! dx = r1(1) - r2(1) -! dy = r1(2) - r2(2) -! dz = r1(3) - r2(3) -! -! r12 = dsqrt(dx * dx + dy * dy + dz * dz) -! if(r12 .lt. 1d-10) return -! -! tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12 -! -! grad(1) = tmp * dx -! grad(2) = tmp * dy -! grad(3) = tmp * dz + r12 = dsqrt(dx * dx + dy * dy + dz * dz) + if(r12 .lt. 1d-10) then + grad(1) = 0.d0 + grad(2) = 0.d0 + grad(3) = 0.d0 + return + endif + + tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12 + + grad(1) = 0.5d0 * tmp * dx + grad(2) = 0.5d0 * tmp * dy + grad(3) = 0.5d0 * tmp * dz + grad(1) += 0.5d0 * grad_jast(1) + grad(2) += 0.5d0 * grad_jast(2) + grad(3) += 0.5d0 * grad_jast(3) -! elseif(j2e_type .eq. "Mur") then -! -! dx = r1(1) - r2(1) -! dy = r1(2) - r2(2) -! dz = r1(3) - r2(3) -! r12 = dsqrt(dx * dx + dy * dy + dz * dz) -! -! call mu_r_val_and_grad(r1, r2, mu_val, mu_der) -! mu_tmp = mu_val * r12 -! tmp = inv_sq_pi_2 * dexp(-mu_tmp*mu_tmp) / (mu_val * mu_val) -! grad(1) = tmp * mu_der(1) -! grad(2) = tmp * mu_der(2) -! grad(3) = tmp * mu_der(3) -! -! if(r12 .lt. 1d-10) return -! tmp = 0.5d0 * (1.d0 - derf(mu_tmp)) / r12 -! grad(1) = grad(1) + tmp * dx -! grad(2) = grad(2) + tmp * dy -! grad(3) = grad(3) + tmp * dz else diff --git a/plugins/local/non_h_ints_mu/jast_deriv_utils_vect.irp.f b/plugins/local/non_h_ints_mu/jast_deriv_utils_vect.irp.f index a1f5c504..2ce9fd07 100644 --- a/plugins/local/non_h_ints_mu/jast_deriv_utils_vect.irp.f +++ b/plugins/local/non_h_ints_mu/jast_deriv_utils_vect.irp.f @@ -33,8 +33,11 @@ subroutine get_grad1_u12_withsq_r1_seq(ipoint, n_grid2, resx, resy, resz, res) r1(2) = final_grid_points(2,ipoint) r1(3) = final_grid_points(3,ipoint) - if( (j2e_type .eq. "Mu") .or. & - (j2e_type .eq. "Mur") .or. & + if( (j2e_type .eq. "Mu") .or. & + (j2e_type .eq. "Mur") .or. & + (j2e_type .eq. "Mugauss") .or. & + (j2e_type .eq. "Murgauss") .or. & + (j2e_type .eq. "Bump") .or. & (j2e_type .eq. "Boys") ) then if(env_type .eq. "None") then @@ -206,7 +209,43 @@ subroutine grad1_j12_r1_seq(r1, n_grid2, gradx, grady, gradz) gradz(jpoint) = tmp * dz enddo - elseif(j2e_type .eq. "Mur") then + else if(j2e_type .eq. "Mugauss") then + + ! d/dx1 j(mu,r12) = 0.5 * [(1 - erf(mu * r12)) / r12 - mu*c*r12*exp(-(mu*alpha*r12)^2] * (x1 - x2) + + do jpoint = 1, n_points_extra_final_grid ! r2 + + r2(1) = final_grid_points_extra(1,jpoint) + r2(2) = final_grid_points_extra(2,jpoint) + r2(3) = final_grid_points_extra(3,jpoint) + + dx = r1(1) - r2(1) + dy = r1(2) - r2(2) + dz = r1(3) - r2(3) + + r12 = dsqrt(dx * dx + dy * dy + dz * dz) + if(r12 .lt. 1d-10) then + gradx(jpoint) = 0.d0 + grady(jpoint) = 0.d0 + gradz(jpoint) = 0.d0 + cycle + endif + + double precision :: r12_tmp + r12_tmp = mu_erf * r12 + ! gradient of j(mu,r12) + tmp = 0.5d0 * (1.d0 - derf(r12_tmp)) / r12 + ! gradient of gaussian additional term + r12_tmp *= alpha_mu_gauss + r12_tmp *= r12_tmp + tmp += -0.5d0 * mu_erf * c_mu_gauss * r12 * dexp(-r12_tmp)/r12 + + gradx(jpoint) = tmp * dx + grady(jpoint) = tmp * dy + gradz(jpoint) = tmp * dz + enddo + + elseif(j2e_type .eq. "Mur".or.j2e_type .eq. "Murgauss") then ! d/dx1 j(mu(r1,r2),r12) = exp(-(mu(r1,r2)*r12)**2) /(2 *sqrt(pi) * mu(r1,r2)**2 ) d/dx1 mu(r1,r2) ! + 0.5 * (1 - erf(mu(r1,r2) *r12))/r12 * (x1 - x2) @@ -221,30 +260,41 @@ subroutine grad1_j12_r1_seq(r1, n_grid2, gradx, grady, gradz) gradx(jpoint) = grad_jast(1) grady(jpoint) = grad_jast(2) gradz(jpoint) = grad_jast(3) -! dx = r1(1) - r2(1) -! dy = r1(2) - r2(2) -! dz = r1(3) - r2(3) -! r12 = dsqrt(dx * dx + dy * dy + dz * dz) -! -! call mu_r_val_and_grad(r1, r2, mu_val, mu_der) -! mu_tmp = mu_val * r12 -! tmp = inv_sq_pi_2 * dexp(-mu_tmp*mu_tmp) / (mu_val * mu_val) -! gradx(jpoint) = tmp * mu_der(1) -! grady(jpoint) = tmp * mu_der(2) -! gradz(jpoint) = tmp * mu_der(3) -! -! if(r12 .lt. 1d-10) then -! gradx(jpoint) = 0.d0 -! grady(jpoint) = 0.d0 -! gradz(jpoint) = 0.d0 -! cycle -! endif -! -! tmp = 0.5d0 * (1.d0 - derf(mu_tmp)) / r12 -! -! gradx(jpoint) = gradx(jpoint) + tmp * dx -! grady(jpoint) = grady(jpoint) + tmp * dy -! gradz(jpoint) = gradz(jpoint) + tmp * dz + enddo + elseif(j2e_type .eq. "Bump") then + + ! d/dx1 jbump(r1,r2) + + do jpoint = 1, n_points_extra_final_grid ! r2 + + r2(1) = final_grid_points_extra(1,jpoint) + r2(2) = final_grid_points_extra(2,jpoint) + r2(3) = final_grid_points_extra(3,jpoint) + call get_grad_j_bump_mu_of_r(r1,r2,grad_jast) + + dx = r1(1) - r2(1) + dy = r1(2) - r2(2) + dz = r1(3) - r2(3) + + r12 = dsqrt(dx * dx + dy * dy + dz * dz) + if(r12 .lt. 1d-10) then + gradx(jpoint) = 0.d0 + grady(jpoint) = 0.d0 + gradz(jpoint) = 0.d0 + cycle + endif + + tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12 + + gradx(jpoint) = 0.5d0 * tmp * dx + grady(jpoint) = 0.5d0 * tmp * dy + gradz(jpoint) = 0.5d0 * tmp * dz + gradx(jpoint) += 0.5d0 * grad_jast(1) + grady(jpoint) += 0.5d0 * grad_jast(2) + gradz(jpoint) += 0.5d0 * grad_jast(3) +! gradx(jpoint) = grad_jast(1) +! grady(jpoint) = grad_jast(2) +! gradz(jpoint) = grad_jast(3) enddo elseif(j2e_type .eq. "Boys") then @@ -673,8 +723,11 @@ subroutine get_grad1_u12_2e_r1_seq(ipoint, n_grid2, resx, resy, resz) r1(2) = final_grid_points(2,ipoint) r1(3) = final_grid_points(3,ipoint) - if( (j2e_type .eq. "Mu") .or. & - (j2e_type .eq. "Mur") .or. & + if( (j2e_type .eq. "Mu") .or. & + (j2e_type .eq. "Mugauss") .or. & + (j2e_type .eq. "Mur") .or. & + (j2e_type .eq. "Murgauss") .or. & + (j2e_type .eq. "Bump") .or. & (j2e_type .eq. "Boys") ) then if(env_type .eq. "None") then @@ -791,8 +844,11 @@ subroutine get_u12_2e_r1_seq(ipoint, n_grid2, res) r1(2) = final_grid_points(2,ipoint) r1(3) = final_grid_points(3,ipoint) - if( (j2e_type .eq. "Mu") .or. & - (j2e_type .eq. "Mur") .or. & + if( (j2e_type .eq. "Mu") .or. & + (j2e_type .eq. "Mur") .or. & + (j2e_type .eq. "Mugauss") .or. & + (j2e_type .eq. "Murgauss") .or. & + (j2e_type .eq. "Mugauss") .or. & (j2e_type .eq. "Boys") ) then if(env_type .eq. "None") then diff --git a/plugins/local/non_h_ints_mu/plot_j_gauss.irp.f b/plugins/local/non_h_ints_mu/plot_j_gauss.irp.f new file mode 100644 index 00000000..a4030d8c --- /dev/null +++ b/plugins/local/non_h_ints_mu/plot_j_gauss.irp.f @@ -0,0 +1,59 @@ +program plot_j_gauss + implicit none + double precision :: xmin, xmax, x, dx + double precision :: mu_min, mu_max, mu, d_mu + double precision :: pot_j_gauss,j_mu_simple,j_gauss_simple,pot_j_mu + double precision, allocatable :: mu_tab(:),j_mu(:),j_mu_gauss(:) + double precision, allocatable :: w_mu(:), w_mu_gauss(:) + + character*(128) :: output + integer :: getUnitAndOpen + integer :: i_unit_output_wee_gauss,i_unit_output_wee_mu + integer :: i_unit_output_j_gauss,i_unit_output_j_mu + output=trim(ezfio_filename)//'.w_ee_mu_gauss' + i_unit_output_wee_gauss = getUnitAndOpen(output,'w') + output=trim(ezfio_filename)//'.w_ee_mu' + i_unit_output_wee_mu = getUnitAndOpen(output,'w') + output=trim(ezfio_filename)//'.j_mu_gauss' + i_unit_output_j_gauss = getUnitAndOpen(output,'w') + output=trim(ezfio_filename)//'.j_mu' + i_unit_output_j_mu = getUnitAndOpen(output,'w') + + integer :: npt, i, j, n_mu + n_mu = 3 + allocate(mu_tab(n_mu),j_mu(n_mu),j_mu_gauss(n_mu),w_mu(n_mu), w_mu_gauss(n_mu)) + mu_min = 0.5d0 + mu_max = 2.d0 + d_mu = (mu_max - mu_min)/dble(n_mu) + mu = mu_min + do i = 1, n_mu + mu_tab(i) = mu + print*,'mu = ',mu + mu += d_mu + enddo + mu_tab(1) = 0.9d0 + mu_tab(2) = 0.95d0 + mu_tab(3) = 1.d0 + + xmin = 0.01d0 + xmax = 10.d0 + npt = 1000 + dx = (xmax - xmin)/dble(npt) + x = xmin + do i = 1, npt + do j = 1, n_mu + mu = mu_tab(j) + w_mu_gauss(j) = pot_j_gauss(x,mu) + w_mu(j) = pot_j_mu(x,mu) + j_mu(j) = j_mu_simple(x,mu) + j_mu_gauss(j) = j_gauss_simple(x,mu) + j_mu(j) + enddo + write(i_unit_output_wee_gauss,'(100(F16.10,X))')x,w_mu_gauss(:) + write(i_unit_output_wee_mu,'(100(F16.10,X))')x,w_mu(:) + write(i_unit_output_j_gauss,'(100(F16.10,X))')x,j_mu_gauss(:) + write(i_unit_output_j_mu,'(100(F16.10,X))')x,j_mu(:) + x += dx + enddo + + +end diff --git a/plugins/local/non_h_ints_mu/plot_mu_of_r.irp.f b/plugins/local/non_h_ints_mu/plot_mu_of_r.irp.f index 3a5984bd..4a3ec0d5 100644 --- a/plugins/local/non_h_ints_mu/plot_mu_of_r.irp.f +++ b/plugins/local/non_h_ints_mu/plot_mu_of_r.irp.f @@ -16,15 +16,16 @@ subroutine routine_print integer :: ipoint,nx,i double precision :: xmax,xmin,r(3),dx,sigma double precision :: mu_val, mu_der(3),dm_a,dm_b,grad,grad_dm_a(3), grad_dm_b(3) - xmax = 5.D0 - xmin = -5.D0 + xmax = 3.9D0 + xmin = -3.9D0 nx = 10000 dx = (xmax - xmin)/dble(nx) r = 0.d0 r(1) = xmin do ipoint = 1, nx - call mu_r_val_and_grad(r, r, mu_val, mu_der) - call density_and_grad_alpha_beta(r,dm_a,dm_b, grad_dm_a, grad_dm_b) +! call mu_r_val_and_grad(r, r, mu_val, mu_der) + call grad_mu_of_r_mean_field(r,mu_val, dm_a, mu_der, grad_dm_a) +! call density_and_grad_alpha_beta(r,dm_a,dm_b, grad_dm_a, grad_dm_b) sigma = 0.d0 do i = 1,3 sigma += grad_dm_a(i)**2 @@ -32,7 +33,8 @@ subroutine routine_print sigma=dsqrt(sigma) grad = mu_der(1)**2 + mu_der(2)**2 + mu_der(3)**2 grad = dsqrt(grad) - write(i_unit_output,'(100(F16.7,X))')r(1),mu_val,dm_a+dm_b,grad,sigma/dm_a + print*,r(1),mu_val + write(i_unit_output,'(100(F16.7,X))')r(1),mu_val,dm_a,grad,sigma/dm_a r(1) += dx enddo end diff --git a/plugins/local/non_h_ints_mu/pot_j_gauss.irp.f b/plugins/local/non_h_ints_mu/pot_j_gauss.irp.f new file mode 100644 index 00000000..f9a0a7bc --- /dev/null +++ b/plugins/local/non_h_ints_mu/pot_j_gauss.irp.f @@ -0,0 +1,146 @@ +double precision function j_simple(x,mu) + implicit none + double precision, intent(in) :: x,mu + double precision :: j_mu_simple,j_gauss_simple + if(j2e_type .eq. "Mu".or.j2e_type .eq. "Mur") then + j_simple = j_mu_simple(x,mu) + else if(j2e_type .eq. "Mugauss".or.j2e_type .eq. "Murgauss") then + j_simple = j_gauss_simple(x,mu) + j_mu_simple(x,mu) + endif +end + + +double precision function j_mu_simple(x,mu) + implicit none + double precision, intent(in):: x,mu + include 'constants.include.F' + BEGIN_DOC +! j_mu(mu,x) = 0.5 x (1 - erf(mu x)) - 1/[2 sqrt(pi)mu] exp(-(x*mu)^2) + END_DOC + j_mu_simple = 0.5d0 * x * (1.D0 - derf(mu*x)) - 0.5d0 * inv_sq_pi/mu * dexp(-x*mu*x*mu) + +end + +double precision function j_gauss_simple(x,mu) + implicit none + double precision, intent(in):: x,mu + include 'constants.include.F' + BEGIN_DOC +! j_mu(mu,x) = c/[4 alpha^2 mu] exp(-(alpha * mu * x)^2) +! with c = 27/(8 sqrt(pi)), alpha=3/2 + END_DOC + double precision :: x_tmp + x_tmp = alpha_mu_gauss * mu * x + j_gauss_simple = 0.25d0 * c_mu_gauss / (alpha_mu_gauss*alpha_mu_gauss*mu) * dexp(-x_tmp*x_tmp) + +end + +double precision function j_mu_deriv(x,mu) + implicit none + BEGIN_DOC +! d/dx j_mu(mu,x) = d/dx 0.5 x (1 - erf(mu x)) - 1/[2 sqrt(pi)mu] exp(-(x*mu)^2) +! = 0.5*(1 - erf(mu x)) + END_DOC + include 'constants.include.F' + double precision, intent(in) :: x,mu + j_mu_deriv = 0.5d0 * (1.d0 - derf(mu*x)) +end + +double precision function j_mu_deriv_2(x,mu) + implicit none + BEGIN_DOC +! d^2/dx^2 j_mu(mu,x) = d^2/dx^2 0.5 x (1 - erf(mu x)) - 1/[2 sqrt(pi)mu] exp(-(x*mu)^2) +! = -mu/sqrt(pi) * exp(-(mu x)^2) + END_DOC + include 'constants.include.F' + double precision, intent(in) :: x,mu + j_mu_deriv_2 = - mu * inv_sq_pi * dexp(-x*mu*x*mu) +end + +double precision function j_gauss_deriv(x,mu) + implicit none + include 'constants.include.F' + double precision, intent(in) :: x,mu + BEGIN_DOC +! d/dx j_gauss(mu,x) = d/dx c/[4 alpha^2 mu] exp(-(alpha * mu * x)^2) +! with c = 27/(8 sqrt(pi)), alpha=3/2 +! = -0.5 * mu * c * x * exp(-(alpha * mu * x)^2) + END_DOC + double precision :: x_tmp + x_tmp = alpha_mu_gauss * mu * x + j_gauss_deriv = -0.5d0 * mu * c_mu_gauss * x * exp(-x_tmp*x_tmp) +end + +double precision function j_gauss_deriv_2(x,mu) + implicit none + include 'constants.include.F' + double precision, intent(in) :: x,mu + BEGIN_DOC +! d/dx j_gauss(mu,x) = d/dx c/[4 alpha^2 mu] exp(-(alpha * mu * x)^2) +! with c = 27/(8 sqrt(pi)), alpha=3/2 +! = 0.5 * mu * c * exp(-(alpha * mu * x)^2) * (2 (alpha*mu*x)^2 - 1) + END_DOC + double precision :: x_tmp + x_tmp = alpha_mu_gauss * mu * x + x_tmp = x_tmp * x_tmp + j_gauss_deriv_2 = 0.5d0 * mu * c_mu_gauss * exp(-x_tmp) * (2.d0*x_tmp - 1.d0) +end + +double precision function j_erf_gauss_deriv(x,mu) + implicit none + double precision, intent(in) :: x,mu + BEGIN_DOC +! d/dx (j_gauss(mu,x)+j_mu(mu,x)) + END_DOC + double precision :: j_gauss_deriv,j_mu_deriv + j_erf_gauss_deriv = j_gauss_deriv(x,mu)+j_mu_deriv(x,mu) +end + +double precision function j_erf_gauss_deriv_2(x,mu) + implicit none + double precision, intent(in) :: x,mu + BEGIN_DOC +! d^2/dx^2 (j_gauss(mu,x)+j_mu(mu,x)) + END_DOC + double precision :: j_gauss_deriv_2,j_mu_deriv_2 + j_erf_gauss_deriv_2 = j_gauss_deriv_2(x,mu)+j_mu_deriv_2(x,mu) +end + + +double precision function pot_j_gauss(x,mu) + implicit none + double precision, intent(in) :: x,mu + BEGIN_DOC + ! effective scalar potential associated with the erf_gauss correlation factor + ! + ! 1/x( 1 - 2 * d/dx j_erf_gauss(x,mu)) - d^2/dx^2 j_erf_gauss(x,mu)) - d/dx d/dx (j_erf_gauss(x,mu))^2 + END_DOC + double precision :: j_erf_gauss_deriv_2,j_erf_gauss_deriv + double precision :: deriv_1, deriv_2 + pot_j_gauss = 0.d0 + if(x.ne.0.d0)then + deriv_1 = j_erf_gauss_deriv(x,mu) + deriv_2 = j_erf_gauss_deriv_2(x,mu) + pot_j_gauss = 1.d0/x * (1.d0 - 2.d0 * deriv_1) - deriv_1 * deriv_1 - deriv_2 + endif + +end + +double precision function pot_j_mu(x,mu) + implicit none + double precision, intent(in) :: x,mu + BEGIN_DOC + ! effective scalar potential associated with the correlation factor + ! + ! 1/x( 1 - 2 * d/dx j_erf(x,mu)) - d^2/dx^2 j_erf(x,mu)) - d/dx d/dx (j_erf(x,mu))^2 + END_DOC + double precision :: j_mu_deriv_2,j_mu_deriv + double precision :: deriv_1, deriv_2 + pot_j_mu = 0.d0 + if(x.ne.0.d0)then + deriv_1 = j_mu_deriv(x,mu) + deriv_2 = j_mu_deriv_2(x,mu) + pot_j_mu= 1.d0/x * (1.d0 - 2.d0 * deriv_1) - deriv_1 * deriv_1 - deriv_2 + endif + +end diff --git a/src/mu_of_r/mu_of_r_mean_field.irp.f b/src/mu_of_r/mu_of_r_mean_field.irp.f index b55e4f6f..295d58c2 100644 --- a/src/mu_of_r/mu_of_r_mean_field.irp.f +++ b/src/mu_of_r/mu_of_r_mean_field.irp.f @@ -57,6 +57,9 @@ end subroutine get_grad_f_mf_ab(r,grad_f_mf_ab, grad_two_bod_dens,f_mf_ab,two_bod_dens, dm_a, dm_b,grad_dm_a, grad_dm_b) implicit none + BEGIN_DOC + ! gradient of mu(r) mean field, together with the gradient of the one- and two-body HF density. + END_DOC double precision, intent(in) :: r(3) double precision, intent(out) :: f_mf_ab, two_bod_dens double precision, intent(out) :: grad_two_bod_dens(3), grad_f_mf_ab(3) diff --git a/src/mu_of_r/test_proj_op.irp.f b/src/mu_of_r/test_proj_op.irp.f index b03d958c..9ddc2f21 100644 --- a/src/mu_of_r/test_proj_op.irp.f +++ b/src/mu_of_r/test_proj_op.irp.f @@ -19,9 +19,9 @@ program projected_operators ! call test_f_ii_ia_aa_valence_ab ! call test ! call test_f_mean_field -! call test_grad_f_mean_field -! call test_grad_mu_mf - call plot_mu_of_r_mf + call test_grad_f_mean_field + call test_grad_mu_mf +! call plot_mu_of_r_mf end diff --git a/src/utils/constants.include.F b/src/utils/constants.include.F index 7b01f888..830b71a1 100644 --- a/src/utils/constants.include.F +++ b/src/utils/constants.include.F @@ -9,6 +9,9 @@ double precision, parameter :: pi_5_2 = 34.9868366552d0 double precision, parameter :: dfour_pi = 4.d0*dacos(-1.d0) double precision, parameter :: dtwo_pi = 2.d0*dacos(-1.d0) double precision, parameter :: inv_sq_pi = 1.d0/dsqrt(dacos(-1.d0)) +double precision, parameter :: c_mu_gauss = 27.d0/(8.d0*dsqrt(dacos(-1.d0))) +double precision, parameter :: c_mu_gauss_tot = 1.5d0*27.d0/(8.d0*dsqrt(dacos(-1.d0)))+3.d0/dsqrt(dacos(-1.d0)) +double precision, parameter :: alpha_mu_gauss = 1.5d0 double precision, parameter :: inv_sq_pi_2 = 0.5d0/dsqrt(dacos(-1.d0)) double precision, parameter :: thresh = 1.d-15 double precision, parameter :: cx_lda = -0.73855876638202234d0

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