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Merge branch 'dev-stable' of github.com:QuantumPackage/qp2 into dev-stable

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This commit is contained in:
Anthony Scemama 2024-10-16 14:57:17 +02:00
commit ecd6471aae
6 changed files with 115 additions and 94 deletions
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4
src/ao_basis/EZFIO.cfg
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@ -82,12 +82,12 @@ interface: ezfio, provider
[ao_expo_pw] [ao_expo_pw]
type: double precision type: double precision
doc: plane wave part for each primitive GTOs |AO| doc: plane wave part for each primitive GTOs |AO|
size: (3,ao_basis.ao_num,ao_basis.ao_prim_num_max) size: (4,ao_basis.ao_num,ao_basis.ao_prim_num_max)
interface: ezfio, provider interface: ezfio, provider
[ao_expo_phase] [ao_expo_phase]
type: double precision type: double precision
doc: phase shift for each primitive GTOs |AO| doc: phase shift for each primitive GTOs |AO|
size: (3,ao_basis.ao_num,ao_basis.ao_prim_num_max) size: (4,ao_basis.ao_num,ao_basis.ao_prim_num_max)
interface: ezfio, provider interface: ezfio, provider

73
src/ao_one_e_ints/aos_cgtos.irp.f
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@ -30,9 +30,9 @@ END_PROVIDER
ao_expo_pw_ord_transp(m,i,j) = ao_expo_pw_ord(m,j,i) ao_expo_pw_ord_transp(m,i,j) = ao_expo_pw_ord(m,j,i)
ao_expo_phase_ord_transp(m,i,j) = ao_expo_phase_ord(m,j,i) ao_expo_phase_ord_transp(m,i,j) = ao_expo_phase_ord(m,j,i)
enddo enddo
ao_expo_pw_ord_transp(4,i,j) = ao_expo_pw_ord_transp(1,i,j) & ao_expo_pw_ord_transp(4,i,j) = ao_expo_pw_ord_transp(1,i,j) * ao_expo_pw_ord_transp(1,i,j) &
+ ao_expo_pw_ord_transp(2,i,j) & + ao_expo_pw_ord_transp(2,i,j) * ao_expo_pw_ord_transp(2,i,j) &
+ ao_expo_pw_ord_transp(3,i,j) + ao_expo_pw_ord_transp(3,i,j) * ao_expo_pw_ord_transp(3,i,j)
ao_expo_phase_ord_transp(4,i,j) = ao_expo_phase_ord_transp(1,j,i) & ao_expo_phase_ord_transp(4,i,j) = ao_expo_phase_ord_transp(1,j,i) &
+ ao_expo_phase_ord_transp(2,j,i) & + ao_expo_phase_ord_transp(2,j,i) &
+ ao_expo_phase_ord_transp(3,j,i) + ao_expo_phase_ord_transp(3,j,i)
@ -47,10 +47,12 @@ BEGIN_PROVIDER [double precision, ao_coef_norm_cgtos, (ao_num, ao_prim_num_max)]
implicit none implicit none
integer :: i, j, powA(3), nz integer :: i, j, ii, m, powA(3), nz
double precision :: norm double precision :: norm
complex*16 :: overlap_x, overlap_y, overlap_z, C_A(3) double precision :: kA2, phiA
complex*16 :: integ1, integ2, expo complex*16 :: expo, expo_inv, C_A(3)
complex*16 :: overlap_x, overlap_y, overlap_z
complex*16 :: integ1, integ2, C1, C2
nz = 100 nz = 100
@ -62,22 +64,31 @@ BEGIN_PROVIDER [double precision, ao_coef_norm_cgtos, (ao_num, ao_prim_num_max)]
do i = 1, ao_num do i = 1, ao_num
ii = ao_nucl(i)
powA(1) = ao_power(i,1) powA(1) = ao_power(i,1)
powA(2) = ao_power(i,2) powA(2) = ao_power(i,2)
powA(3) = ao_power(i,3) powA(3) = ao_power(i,3)
! TODO
! Normalization of the primitives ! Normalization of the primitives
if(primitives_normalized) then if(primitives_normalized) then
do j = 1, ao_prim_num(i) do j = 1, ao_prim_num(i)
expo = ao_expo(i,j) + (0.d0, 1.d0) * ao_expo_im_cgtos(i,j) expo = ao_expo(i,j) + (0.d0, 1.d0) * ao_expo_im_cgtos(i,j)
expo_inv = (1.d0, 0.d0) / expo
do m = 1, 3
C_A(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo_inv * ao_expo_pw(m,i,j)
enddo
phiA = ao_expo_phase(4,i,j)
KA2 = ao_expo_pw(4,i,j)
call overlap_cgaussian_xyz(C_A, C_A, expo, expo, powA, powA, overlap_x, overlap_y, overlap_z, integ1, nz) C1 = zexp(-(0.d0, 2.d0) * phiA - 0.5d0 * expo_inv * KA2)
call overlap_cgaussian_xyz(C_A, C_A, conjg(expo), expo, powA, powA, overlap_x, overlap_y, overlap_z, integ2, nz) C2 = zexp(-(0.5d0, 0.d0) * real(expo_inv) * KA2)
norm = 2.d0 * real(integ1 + integ2) call overlap_cgaussian_xyz(C_A, C_A, expo, expo, powA, powA, overlap_x, overlap_y, overlap_z, integ1, nz)
call overlap_cgaussian_xyz(conjg(C_A), C_A, conjg(expo), expo, powA, powA, overlap_x, overlap_y, overlap_z, integ2, nz)
norm = 2.d0 * real(C1 * integ1 + C2 * integ2)
ao_coef_norm_cgtos(i,j) = ao_coef(i,j) / dsqrt(norm) ao_coef_norm_cgtos(i,j) = ao_coef(i,j) / dsqrt(norm)
enddo enddo
@ -98,14 +109,14 @@ END_PROVIDER
BEGIN_PROVIDER [double precision, ao_coef_norm_cgtos_ord, (ao_num, ao_prim_num_max)] BEGIN_PROVIDER [double precision, ao_coef_norm_cgtos_ord, (ao_num, ao_prim_num_max)]
&BEGIN_PROVIDER [complex*16 , ao_expo_cgtos_ord, (ao_num, ao_prim_num_max)] &BEGIN_PROVIDER [complex*16 , ao_expo_cgtos_ord, (ao_num, ao_prim_num_max)]
&BEGIN_PROVIDER [double precision, ao_expo_pw_ord, (3, ao_num, ao_prim_num_max)] &BEGIN_PROVIDER [double precision, ao_expo_pw_ord, (4, ao_num, ao_prim_num_max)]
&BEGIN_PROVIDER [double precision, ao_expo_phase_ord, (3, ao_num, ao_prim_num_max)] &BEGIN_PROVIDER [double precision, ao_expo_phase_ord, (4, ao_num, ao_prim_num_max)]
implicit none implicit none
integer :: i, j integer :: i, j, m
integer :: iorder(ao_prim_num_max) integer :: iorder(ao_prim_num_max)
double precision :: d(ao_prim_num_max,9) double precision :: d(ao_prim_num_max,11)
d = 0.d0 d = 0.d0
@ -116,28 +127,26 @@ END_PROVIDER
d(j,1) = ao_expo(i,j) d(j,1) = ao_expo(i,j)
d(j,2) = ao_coef_norm_cgtos(i,j) d(j,2) = ao_coef_norm_cgtos(i,j)
d(j,3) = ao_expo_im_cgtos(i,j) d(j,3) = ao_expo_im_cgtos(i,j)
d(j,4) = ao_expo_pw(1,i,j)
d(j,5) = ao_expo_pw(2,i,j) do m = 1, 4
d(j,6) = ao_expo_pw(3,i,j) d(j,3+m) = ao_expo_pw(m,i,j)
d(j,7) = ao_expo_phase(1,i,j) d(j,7+m) = ao_expo_phase(m,i,j)
d(j,8) = ao_expo_phase(2,i,j) enddo
d(j,9) = ao_expo_phase(3,i,j)
enddo enddo
call dsort(d(1,1), iorder, ao_prim_num(i)) call dsort(d(1,1), iorder, ao_prim_num(i))
do j = 2, 9 do j = 2, 11
call dset_order(d(1,j), iorder, ao_prim_num(i)) call dset_order(d(1,j), iorder, ao_prim_num(i))
enddo enddo
do j = 1, ao_prim_num(i) do j = 1, ao_prim_num(i)
ao_expo_cgtos_ord (i,j) = d(j,1) + (0.d0, 1.d0) * d(j,3) ao_expo_cgtos_ord (i,j) = d(j,1) + (0.d0, 1.d0) * d(j,3)
ao_coef_norm_cgtos_ord(i,j) = d(j,2) ao_coef_norm_cgtos_ord(i,j) = d(j,2)
ao_expo_pw_ord(i,j,1) = d(j,4)
ao_expo_pw_ord(i,j,2) = d(j,5) do m = 1, 4
ao_expo_pw_ord(i,j,3) = d(j,6) ao_expo_pw_ord(m,i,j) = d(j,3+m)
ao_expo_phase_ord(i,j,1) = d(j,7) ao_expo_phase_ord(m,i,j) = d(j,7+m)
ao_expo_phase_ord(i,j,2) = d(j,8) enddo
ao_expo_phase_ord(i,j,3) = d(j,9)
enddo enddo
enddo enddo
@ -154,8 +163,10 @@ END_PROVIDER
integer :: i, j, m, n, l, ii, jj, dim1, power_A(3), power_B(3) integer :: i, j, m, n, l, ii, jj, dim1, power_A(3), power_B(3)
double precision :: c, overlap, overlap_x, overlap_y, overlap_z double precision :: c, overlap, overlap_x, overlap_y, overlap_z
complex*16 :: alpha, alpha_inv, A_center(3), KA2(3), phiA(3) double precision :: KA2(3), phiA(3)
complex*16 :: beta, beta_inv, B_center(3), KB2(3), phiB(3) double precision :: KB2(3), phiB(3)
complex*16 :: alpha, alpha_inv, A_center(3)
complex*16 :: beta, beta_inv, B_center(3)
complex*16 :: C1(1:4), C2(1:4) complex*16 :: C1(1:4), C2(1:4)
complex*16 :: overlap1, overlap_x1, overlap_y1, overlap_z1 complex*16 :: overlap1, overlap_x1, overlap_y1, overlap_z1
complex*16 :: overlap2, overlap_x2, overlap_y2, overlap_z2 complex*16 :: overlap2, overlap_x2, overlap_y2, overlap_z2
@ -199,7 +210,6 @@ END_PROVIDER
alpha = ao_expo_cgtos_ord_transp(n,j) alpha = ao_expo_cgtos_ord_transp(n,j)
alpha_inv = (1.d0, 0.d0) / alpha alpha_inv = (1.d0, 0.d0) / alpha
do m = 1, 3 do m = 1, 3
phiA(m) = ao_expo_phase_ord_transp(m,n,j) phiA(m) = ao_expo_phase_ord_transp(m,n,j)
A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j) A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j)
@ -210,7 +220,6 @@ END_PROVIDER
beta = ao_expo_cgtos_ord_transp(l,i) beta = ao_expo_cgtos_ord_transp(l,i)
beta_inv = (1.d0, 0.d0) / beta beta_inv = (1.d0, 0.d0) / beta
do m = 1, 3 do m = 1, 3
phiB(m) = ao_expo_phase_ord_transp(m,l,i) phiB(m) = ao_expo_phase_ord_transp(m,l,i)
B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i) B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i)
@ -232,7 +241,7 @@ END_PROVIDER
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x1, overlap_y1, overlap_z1, overlap1, dim1) overlap_x1, overlap_y1, overlap_z1, overlap1, dim1)
call overlap_cgaussian_xyz(A_center, B_center, conjg(alpha), beta, power_A, power_B, & call overlap_cgaussian_xyz(conjg(A_center), B_center, conjg(alpha), beta, power_A, power_B, &
overlap_x2, overlap_y2, overlap_z2, overlap2, dim1) overlap_x2, overlap_y2, overlap_z2, overlap2, dim1)
overlap_x = 2.d0 * real(C1(1) * overlap_x1 + C2(1) * overlap_x2) overlap_x = 2.d0 * real(C1(1) * overlap_x1 + C2(1) * overlap_x2)

12
src/ao_one_e_ints/one_e_coul_integrals_cgtos.irp.f
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@ -15,8 +15,10 @@ BEGIN_PROVIDER [double precision, ao_integrals_n_e_cgtos, (ao_num, ao_num)]
integer :: power_A(3), power_B(3) integer :: power_A(3), power_B(3)
integer :: i, j, k, l, m, n, ii, jj integer :: i, j, k, l, m, n, ii, jj
double precision :: c, Z, C_center(3) double precision :: c, Z, C_center(3)
complex*16 :: alpha, alpha_inv, A_center(3), phiA, KA2 double precision :: phiA, KA2
complex*16 :: beta, beta_inv, B_center(3), phiB, KB2 double precision :: phiB, KB2
complex*16 :: alpha, alpha_inv, A_center(3)
complex*16 :: beta, beta_inv, B_center(3)
complex*16 :: C1, C2, I1, I2 complex*16 :: C1, C2, I1, I2
complex*16 :: NAI_pol_mult_cgtos complex*16 :: NAI_pol_mult_cgtos
@ -54,7 +56,7 @@ BEGIN_PROVIDER [double precision, ao_integrals_n_e_cgtos, (ao_num, ao_num)]
A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j) A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j)
enddo enddo
phiA = ao_expo_phase_ord_transp(4,n,j) phiA = ao_expo_phase_ord_transp(4,n,j)
KA2 = ao_expo_pw_ord_transp(4,n,j) * ao_expo_pw_ord_transp(4,n,j) KA2 = ao_expo_pw_ord_transp(4,n,j)
do l = 1, ao_prim_num(i) do l = 1, ao_prim_num(i)
@ -65,7 +67,7 @@ BEGIN_PROVIDER [double precision, ao_integrals_n_e_cgtos, (ao_num, ao_num)]
B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i) B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i)
enddo enddo
phiB = ao_expo_phase_ord_transp(4,l,i) phiB = ao_expo_phase_ord_transp(4,l,i)
KB2 = ao_expo_pw_ord_transp(4,l,i) * ao_expo_pw_ord_transp(4,l,i) KB2 = ao_expo_pw_ord_transp(4,l,i)
C1 = zexp((0.d0, 1.d0) * (-phiA - phiB) - 0.25d0 * (alpha_inv * KA2 + beta_inv * KB2)) C1 = zexp((0.d0, 1.d0) * (-phiA - phiB) - 0.25d0 * (alpha_inv * KA2 + beta_inv * KB2))
C2 = zexp((0.d0, 1.d0) * ( phiA - phiB) - 0.25d0 * (conjg(alpha_inv) * KA2 + beta_inv * KB2)) C2 = zexp((0.d0, 1.d0) * ( phiA - phiB) - 0.25d0 * (conjg(alpha_inv) * KA2 + beta_inv * KB2))
@ -79,7 +81,7 @@ BEGIN_PROVIDER [double precision, ao_integrals_n_e_cgtos, (ao_num, ao_num)]
I1 = NAI_pol_mult_cgtos(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_max_integrals) I1 = NAI_pol_mult_cgtos(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_max_integrals)
I2 = NAI_pol_mult_cgtos(A_center, B_center, power_A, power_B, conjg(alpha), beta, C_center, n_pt_max_integrals) I2 = NAI_pol_mult_cgtos(conjg(A_center), B_center, power_A, power_B, conjg(alpha), beta, C_center, n_pt_max_integrals)
c = c - Z * 2.d0 * real(C1 * I1 + C2 * I2) c = c - Z * 2.d0 * real(C1 * I1 + C2 * I2)
enddo enddo

40
src/ao_one_e_ints/one_e_kin_integrals_cgtos.irp.f
View File

@ -8,8 +8,10 @@
implicit none implicit none
integer :: i, j, m, n, l, ii, jj, dim1, power_A(3), power_B(3) integer :: i, j, m, n, l, ii, jj, dim1, power_A(3), power_B(3)
double precision :: c, deriv_tmp double precision :: c, deriv_tmp
complex*16 :: alpha, alpha_inv, A_center(3), KA2, phiA, C1 double precision :: KA2, phiA
complex*16 :: beta, beta_inv, B_center(3), KB2, phiB, C2 double precision :: KB2, phiB
complex*16 :: alpha, alpha_inv, A_center(3), C1
complex*16 :: beta, beta_inv, B_center(3), C2
complex*16 :: overlap_x, overlap_y, overlap_z, overlap complex*16 :: overlap_x, overlap_y, overlap_z, overlap
complex*16 :: overlap_x0_1, overlap_y0_1, overlap_z0_1 complex*16 :: overlap_x0_1, overlap_y0_1, overlap_z0_1
complex*16 :: overlap_x0_2, overlap_y0_2, overlap_z0_2 complex*16 :: overlap_x0_2, overlap_y0_2, overlap_z0_2
@ -70,33 +72,31 @@
alpha = ao_expo_cgtos_ord_transp(n,j) alpha = ao_expo_cgtos_ord_transp(n,j)
alpha_inv = (1.d0, 0.d0) / alpha alpha_inv = (1.d0, 0.d0) / alpha
do m = 1, 3 do m = 1, 3
A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j) A_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * alpha_inv * ao_expo_pw_ord_transp(m,n,j)
enddo enddo
phiA = ao_expo_phase_ord_transp(4,n,j) phiA = ao_expo_phase_ord_transp(4,n,j)
KA2 = ao_expo_pw_ord_transp(4,n,j) * ao_expo_pw_ord_transp(4,n,j) KA2 = ao_expo_pw_ord_transp(4,n,j)
do l = 1, ao_prim_num(i) do l = 1, ao_prim_num(i)
beta = ao_expo_cgtos_ord_transp(l,i) beta = ao_expo_cgtos_ord_transp(l,i)
beta_inv = (1.d0, 0.d0) / beta beta_inv = (1.d0, 0.d0) / beta
do m = 1, 3 do m = 1, 3
B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i) B_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * beta_inv * ao_expo_pw_ord_transp(m,l,i)
enddo enddo
phiB = ao_expo_phase_ord_transp(4,l,i) phiB = ao_expo_phase_ord_transp(4,l,i)
KB2 = ao_expo_pw_ord_transp(4,l,i) * ao_expo_pw_ord_transp(4,l,i) KB2 = ao_expo_pw_ord_transp(4,l,i)
c = ao_coef_cgtos_norm_ord_transp(n,j) * ao_coef_cgtos_norm_ord_transp(l,i) c = ao_coef_cgtos_norm_ord_transp(n,j) * ao_coef_cgtos_norm_ord_transp(l,i)
C1 = zexp((0.d0, 1.d0) * (-phiA - phiB) - 0.25d0 * (alpha_inv * KA2 + beta_inv * KB2)) C1 = zexp((0.d0, 1.d0) * (-phiA - phiB) - 0.25d0 * (alpha_inv * KA2 + beta_inv * KB2))
C2 = zexp((0.d0, 1.d0) * ( phiA - phiB) - 0.25d0 * (conjg(alpha_inv) * KA2 + beta_inv * KB2)) C2 = zexp((0.d0, 1.d0) * (-phiA + phiB) - 0.25d0 * (alpha_inv * KA2 + conjg(beta_inv) * KB2))
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x0_1, overlap_y0_1, overlap_z0_1, overlap, dim1) overlap_x0_1, overlap_y0_1, overlap_z0_1, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_x0_2, overlap_y0_2, overlap_z0_2, overlap, dim1) overlap_x0_2, overlap_y0_2, overlap_z0_2, overlap, dim1)
! --- ! ---
@ -106,7 +106,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_m2_1, overlap_y, overlap_z, overlap, dim1) overlap_m2_1, overlap_y, overlap_z, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_m2_2, overlap_y, overlap_z, overlap, dim1) overlap_m2_2, overlap_y, overlap_z, overlap, dim1)
else else
overlap_m2_1 = (0.d0, 0.d0) overlap_m2_1 = (0.d0, 0.d0)
@ -117,7 +117,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_p2_1, overlap_y, overlap_z, overlap, dim1) overlap_p2_1, overlap_y, overlap_z, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_p2_2, overlap_y, overlap_z, overlap, dim1) overlap_p2_2, overlap_y, overlap_z, overlap, dim1)
power_A(1) = power_A(1) - 2 power_A(1) = power_A(1) - 2
@ -141,7 +141,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x, overlap_m2_1, overlap_y, overlap, dim1) overlap_x, overlap_m2_1, overlap_y, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_x, overlap_m2_2, overlap_y, overlap, dim1) overlap_x, overlap_m2_2, overlap_y, overlap, dim1)
else else
overlap_m2_1 = (0.d0, 0.d0) overlap_m2_1 = (0.d0, 0.d0)
@ -152,7 +152,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x, overlap_p2_1, overlap_y, overlap, dim1) overlap_x, overlap_p2_1, overlap_y, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_x, overlap_p2_2, overlap_y, overlap, dim1) overlap_x, overlap_p2_2, overlap_y, overlap, dim1)
power_A(2) = power_A(2) - 2 power_A(2) = power_A(2) - 2
@ -176,7 +176,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x, overlap_y, overlap_m2_1, overlap, dim1) overlap_x, overlap_y, overlap_m2_1, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_x, overlap_y, overlap_m2_2, overlap, dim1) overlap_x, overlap_y, overlap_m2_2, overlap, dim1)
else else
overlap_m2_1 = (0.d0, 0.d0) overlap_m2_1 = (0.d0, 0.d0)
@ -187,7 +187,7 @@
call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, & call overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
overlap_x, overlap_y, overlap_p2_1, overlap, dim1) overlap_x, overlap_y, overlap_p2_1, overlap, dim1)
call overlap_cgaussian_xyz(A_center, B_center, alpha, conjg(beta), power_A, power_B, & call overlap_cgaussian_xyz(A_center, conjg(B_center), alpha, conjg(beta), power_A, power_B, &
overlap_x, overlap_y, overlap_p2_2, overlap, dim1) overlap_x, overlap_y, overlap_p2_2, overlap, dim1)
power_A(3) = power_A(3) - 2 power_A(3) = power_A(3) - 2
@ -227,11 +227,12 @@ BEGIN_PROVIDER [double precision, ao_kinetic_integrals_cgtos, (ao_num, ao_num)]
END_DOC END_DOC
implicit none implicit none
integer :: i, j integer :: i, j
!$OMP PARALLEL DO DEFAULT(NONE) & !$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP PRIVATE(i, j) & !$OMP PRIVATE(i, j) &
!$OMP SHARED(ao_num, ao_kinetic_integrals_cgtos, ao_deriv2_cgtos_x, ao_deriv2_cgtos_y, ao_deriv2_cgtos_z) !$OMP SHARED(ao_num, ao_kinetic_integrals_cgtos, ao_deriv2_cgtos_x, ao_deriv2_cgtos_y, ao_deriv2_cgtos_z)
do j = 1, ao_num do j = 1, ao_num
do i = 1, ao_num do i = 1, ao_num
ao_kinetic_integrals_cgtos(i,j) = -0.5d0 * (ao_deriv2_cgtos_x(i,j) + & ao_kinetic_integrals_cgtos(i,j) = -0.5d0 * (ao_deriv2_cgtos_x(i,j) + &
@ -239,8 +240,9 @@ BEGIN_PROVIDER [double precision, ao_kinetic_integrals_cgtos, (ao_num, ao_num)]
ao_deriv2_cgtos_z(i,j)) ao_deriv2_cgtos_z(i,j))
enddo enddo
enddo enddo
!$OMP END PARALLEL DO !$OMP END PARALLEL DO
END_PROVIDER END_PROVIDER
! --- ! ---

72
src/ao_two_e_ints/two_e_coul_integrals_cgtos.irp.f
View File

@ -17,10 +17,14 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
integer :: ii, jj, kk, ll, dim1, I_power(3), J_power(3), K_power(3), L_power(3) integer :: ii, jj, kk, ll, dim1, I_power(3), J_power(3), K_power(3), L_power(3)
integer :: iorder_p1(3), iorder_p2(3), iorder_q1(3), iorder_q2(3) integer :: iorder_p1(3), iorder_p2(3), iorder_q1(3), iorder_q2(3)
double precision :: coef1, coef2, coef3, coef4 double precision :: coef1, coef2, coef3, coef4
complex*16 :: expo1, expo1_inv, I_center(3), KI2, phiI double precision :: KI2, phiI
complex*16 :: expo2, expo2_inv, J_center(3), KJ2, phiJ double precision :: KJ2, phiJ
complex*16 :: expo3, expo3_inv, K_center(3), KK2, phiK double precision :: KK2, phiK
complex*16 :: expo4, expo4_inv, L_center(3), KL2, phiL double precision :: KL2, phiL
complex*16 :: expo1, expo1_inv, I_center(3)
complex*16 :: expo2, expo2_inv, J_center(3)
complex*16 :: expo3, expo3_inv, K_center(3)
complex*16 :: expo4, expo4_inv, L_center(3)
complex*16 :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv complex*16 :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
complex*16 :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2, p2_inv complex*16 :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2, p2_inv
complex*16 :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv complex*16 :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
@ -70,7 +74,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i) I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i)
enddo enddo
phiI = ao_expo_phase_ord_transp(4,p,i) phiI = ao_expo_phase_ord_transp(4,p,i)
KI2 = ao_expo_pw_ord_transp(4,p,i) * ao_expo_pw_ord_transp(4,p,i) KI2 = ao_expo_pw_ord_transp(4,p,i)
do q = 1, ao_prim_num(j) do q = 1, ao_prim_num(j)
@ -81,7 +85,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j) J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j)
enddo enddo
phiJ = ao_expo_phase_ord_transp(4,q,j) phiJ = ao_expo_phase_ord_transp(4,q,j)
KJ2 = ao_expo_pw_ord_transp(4,q,j) * ao_expo_pw_ord_transp(4,q,j) KJ2 = ao_expo_pw_ord_transp(4,q,j)
call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, & call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, &
expo1, expo2, I_power, J_power, I_center, J_center, dim1) expo1, expo2, I_power, J_power, I_center, J_center, dim1)
@ -100,7 +104,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
@ -111,7 +115,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
call give_explicit_cpoly_and_cgaussian(Q1_new, Q1_center, qq1, fact_q1, iorder_q1, & call give_explicit_cpoly_and_cgaussian(Q1_new, Q1_center, qq1, fact_q1, iorder_q1, &
expo3, expo4, K_power, L_power, K_center, L_center, dim1) expo3, expo4, K_power, L_power, K_center, L_center, dim1)
@ -189,7 +193,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i) I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i)
enddo enddo
phiI = ao_expo_phase_ord_transp(4,p,i) phiI = ao_expo_phase_ord_transp(4,p,i)
KI2 = ao_expo_pw_ord_transp(4,p,i) * ao_expo_pw_ord_transp(4,p,i) KI2 = ao_expo_pw_ord_transp(4,p,i)
do q = 1, ao_prim_num(j) do q = 1, ao_prim_num(j)
@ -200,7 +204,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j) J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j)
enddo enddo
phiJ = ao_expo_phase_ord_transp(4,q,j) phiJ = ao_expo_phase_ord_transp(4,q,j)
KJ2 = ao_expo_pw_ord_transp(4,q,j) * ao_expo_pw_ord_transp(4,q,j) KJ2 = ao_expo_pw_ord_transp(4,q,j)
do r = 1, ao_prim_num(k) do r = 1, ao_prim_num(k)
@ -211,7 +215,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
@ -222,7 +226,7 @@ double precision function ao_two_e_integral_cgtos(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
C1 = zexp((0.d0, 1.d0) * (-phiI - phiJ - phiK - phiL) & C1 = zexp((0.d0, 1.d0) * (-phiI - phiJ - phiK - phiL) &
- 0.25d0 * (expo1_inv * KI2 + expo2_inv * KJ2 + expo3_inv * KK2 + expo4_inv * KL2)) - 0.25d0 * (expo1_inv * KI2 + expo2_inv * KJ2 + expo3_inv * KK2 + expo4_inv * KL2))
@ -313,10 +317,14 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
integer :: ii, jj, kk, ll, dim1, I_power(3), J_power(3), K_power(3), L_power(3) integer :: ii, jj, kk, ll, dim1, I_power(3), J_power(3), K_power(3), L_power(3)
integer :: iorder_p1(3), iorder_p2(3), iorder_q1(3), iorder_q2(3) integer :: iorder_p1(3), iorder_p2(3), iorder_q1(3), iorder_q2(3)
double precision :: coef1, coef2, coef3, coef4 double precision :: coef1, coef2, coef3, coef4
complex*16 :: expo1, expo1_inv, I_center(3), KI2, phiI double precision :: KI2, phiI
complex*16 :: expo2, expo2_inv, J_center(3), KJ2, phiJ double precision :: KJ2, phiJ
complex*16 :: expo3, expo3_inv, K_center(3), KK2, phiK double precision :: KK2, phiK
complex*16 :: expo4, expo4_inv, L_center(3), KL2, phiL double precision :: KL2, phiL
complex*16 :: expo1, expo1_inv, I_center(3)
complex*16 :: expo2, expo2_inv, J_center(3)
complex*16 :: expo3, expo3_inv, K_center(3)
complex*16 :: expo4, expo4_inv, L_center(3)
complex*16 :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv complex*16 :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
complex*16 :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2, p2_inv complex*16 :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2, p2_inv
complex*16 :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv complex*16 :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
@ -366,7 +374,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
schwartz_kl(0,r) = 0.d0 schwartz_kl(0,r) = 0.d0
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
@ -378,7 +386,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, & call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, &
expo1, expo2, K_power, L_power, K_center, L_center, dim1) expo1, expo2, K_power, L_power, K_center, L_center, dim1)
@ -393,7 +401,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
!C3 = C2 !C3 = C2
C4 = zexp((0.d0, 2.d0) * (phiK - phiL) - 0.5d0 * (conjg(expo1_inv) * KK2 + expo2_inv * KL2)) C4 = zexp((0.d0, 2.d0) * (phiK - phiL) - 0.5d0 * (conjg(expo1_inv) * KK2 + expo2_inv * KL2))
C5 = zexp(-(0.d0, 2.d0) * phiK - 0.5d0 * (expo1_inv * KK2 + real(expo2_inv) * KL2)) C5 = zexp(-(0.d0, 2.d0) * phiK - 0.5d0 * (expo1_inv * KK2 + real(expo2_inv) * KL2))
C6 = zexp(-0.5d0 * (real(expo1_inv) * KK2 + real(expo2_inv) * KL2)) C6 = zexp(-(0.5d0, 0.d0) * (real(expo1_inv) * KK2 + real(expo2_inv) * KL2))
!C7 = C6 !C7 = C6
!C8 = conjg(C5) !C8 = conjg(C5)
@ -452,7 +460,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i) I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i)
enddo enddo
phiI = ao_expo_phase_ord_transp(4,p,i) phiI = ao_expo_phase_ord_transp(4,p,i)
KI2 = ao_expo_pw_ord_transp(4,p,i) * ao_expo_pw_ord_transp(4,p,i) KI2 = ao_expo_pw_ord_transp(4,p,i)
do q = 1, ao_prim_num(j) do q = 1, ao_prim_num(j)
@ -463,7 +471,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j) J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j)
enddo enddo
phiJ = ao_expo_phase_ord_transp(4,q,j) phiJ = ao_expo_phase_ord_transp(4,q,j)
KJ2 = ao_expo_pw_ord_transp(4,q,j) * ao_expo_pw_ord_transp(4,q,j) KJ2 = ao_expo_pw_ord_transp(4,q,j)
call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, & call give_explicit_cpoly_and_cgaussian(P1_new, P1_center, pp1, fact_p1, iorder_p1, &
expo1, expo2, I_power, J_power, I_center, J_center, dim1) expo1, expo2, I_power, J_power, I_center, J_center, dim1)
@ -478,7 +486,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
!C3 = C2 !C3 = C2
C4 = zexp((0.d0, 2.d0) * (phiI - phiJ) - 0.5d0 * (conjg(expo1_inv) * KI2 + expo2_inv * KJ2)) C4 = zexp((0.d0, 2.d0) * (phiI - phiJ) - 0.5d0 * (conjg(expo1_inv) * KI2 + expo2_inv * KJ2))
C5 = zexp(-(0.d0, 2.d0) * phiI - 0.5d0 * (expo1_inv * KI2 + real(expo2_inv) * KJ2)) C5 = zexp(-(0.d0, 2.d0) * phiI - 0.5d0 * (expo1_inv * KI2 + real(expo2_inv) * KJ2))
C6 = zexp(-0.5d0 * (real(expo1_inv) * KI2 + real(expo2_inv) * KJ2)) C6 = zexp(-(0.5d0, 0.d0) * (real(expo1_inv) * KI2 + real(expo2_inv) * KJ2))
!C7 = C6 !C7 = C6
!C8 = conjg(C5) !C8 = conjg(C5)
@ -533,7 +541,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
if(schwartz_kl(s,r)*schwartz_ij < thr) cycle if(schwartz_kl(s,r)*schwartz_ij < thr) cycle
@ -545,7 +553,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
call give_explicit_cpoly_and_cgaussian(Q1_new, Q1_center, qq1, fact_q1, iorder_q1, & call give_explicit_cpoly_and_cgaussian(Q1_new, Q1_center, qq1, fact_q1, iorder_q1, &
expo3, expo4, K_power, L_power, K_center, L_center, dim1) expo3, expo4, K_power, L_power, K_center, L_center, dim1)
@ -624,7 +632,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
schwartz_kl(0,r) = 0.d0 schwartz_kl(0,r) = 0.d0
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
@ -636,14 +644,14 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
C1 = zexp(-(0.d0, 2.d0) * (phiK + phiL) - 0.5d0 * (expo1_inv * KK2 + expo2_inv * KL2)) C1 = zexp(-(0.d0, 2.d0) * (phiK + phiL) - 0.5d0 * (expo1_inv * KK2 + expo2_inv * KL2))
C2 = zexp(-(0.d0, 2.d0) * phiL - 0.5d0 * (real(expo1_inv) * KK2 + expo2_inv * KL2)) C2 = zexp(-(0.d0, 2.d0) * phiL - 0.5d0 * (real(expo1_inv) * KK2 + expo2_inv * KL2))
!C3 = C2 !C3 = C2
C4 = zexp((0.d0, 2.d0) * (phiK - phiL) - 0.5d0 * (conjg(expo1_inv) * KK2 + expo2_inv * KL2)) C4 = zexp((0.d0, 2.d0) * (phiK - phiL) - 0.5d0 * (conjg(expo1_inv) * KK2 + expo2_inv * KL2))
C5 = zexp(-(0.d0, 2.d0) * phiK - 0.5d0 * (expo1_inv * KK2 + real(expo2_inv) * KL2)) C5 = zexp(-(0.d0, 2.d0) * phiK - 0.5d0 * (expo1_inv * KK2 + real(expo2_inv) * KL2))
C6 = zexp(-0.5d0 * (real(expo1_inv) * KK2 + real(expo2_inv) * KL2)) C6 = zexp(-(0.5d0, 0.d0) * (real(expo1_inv) * KK2 + real(expo2_inv) * KL2))
!C7 = C6 !C7 = C6
!C8 = conjg(C5) !C8 = conjg(C5)
@ -708,7 +716,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i) I_center(m) = nucl_coord(ii,m) - (0.d0, 0.5d0) * expo1_inv * ao_expo_pw_ord_transp(m,p,i)
enddo enddo
phiI = ao_expo_phase_ord_transp(4,p,i) phiI = ao_expo_phase_ord_transp(4,p,i)
KI2 = ao_expo_pw_ord_transp(4,p,i) * ao_expo_pw_ord_transp(4,p,i) KI2 = ao_expo_pw_ord_transp(4,p,i)
do q = 1, ao_prim_num(j) do q = 1, ao_prim_num(j)
@ -719,14 +727,14 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j) J_center(m) = nucl_coord(jj,m) - (0.d0, 0.5d0) * expo2_inv * ao_expo_pw_ord_transp(m,q,j)
enddo enddo
phiJ = ao_expo_phase_ord_transp(4,q,j) phiJ = ao_expo_phase_ord_transp(4,q,j)
KJ2 = ao_expo_pw_ord_transp(4,q,j) * ao_expo_pw_ord_transp(4,q,j) KJ2 = ao_expo_pw_ord_transp(4,q,j)
C1 = zexp(-(0.d0, 2.d0) * (phiI + phiJ) - 0.5d0 * (expo1_inv * KI2 + expo2_inv * KJ2)) C1 = zexp(-(0.d0, 2.d0) * (phiI + phiJ) - 0.5d0 * (expo1_inv * KI2 + expo2_inv * KJ2))
C2 = zexp(-(0.d0, 2.d0) * phiJ - 0.5d0 * (real(expo1_inv) * KI2 + expo2_inv * KJ2)) C2 = zexp(-(0.d0, 2.d0) * phiJ - 0.5d0 * (real(expo1_inv) * KI2 + expo2_inv * KJ2))
!C3 = C2 !C3 = C2
C4 = zexp((0.d0, 2.d0) * (phiI - phiJ) - 0.5d0 * (conjg(expo1_inv) * KI2 + expo2_inv * KJ2)) C4 = zexp((0.d0, 2.d0) * (phiI - phiJ) - 0.5d0 * (conjg(expo1_inv) * KI2 + expo2_inv * KJ2))
C5 = zexp(-(0.d0, 2.d0) * phiI - 0.5d0 * (expo1_inv * KI2 + real(expo2_inv) * KJ2)) C5 = zexp(-(0.d0, 2.d0) * phiI - 0.5d0 * (expo1_inv * KI2 + real(expo2_inv) * KJ2))
C6 = zexp(-0.5d0 * (real(expo1_inv) * KI2 + real(expo2_inv) * KJ2)) C6 = zexp(-(0.5d0, 0.d0) * (real(expo1_inv) * KI2 + real(expo2_inv) * KJ2))
!C7 = C6 !C7 = C6
!C8 = conjg(C5) !C8 = conjg(C5)
@ -788,7 +796,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k) K_center(m) = nucl_coord(kk,m) - (0.d0, 0.5d0) * expo3_inv * ao_expo_pw_ord_transp(m,r,k)
enddo enddo
phiK = ao_expo_phase_ord_transp(4,r,k) phiK = ao_expo_phase_ord_transp(4,r,k)
KK2 = ao_expo_pw_ord_transp(4,r,k) * ao_expo_pw_ord_transp(4,r,k) KK2 = ao_expo_pw_ord_transp(4,r,k)
do s = 1, ao_prim_num(l) do s = 1, ao_prim_num(l)
if(schwartz_kl(s,r)*schwartz_ij < thr) cycle if(schwartz_kl(s,r)*schwartz_ij < thr) cycle
@ -800,7 +808,7 @@ double precision function ao_2e_cgtos_schwartz_accel(i, j, k, l)
L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l) L_center(m) = nucl_coord(ll,m) - (0.d0, 0.5d0) * expo4_inv * ao_expo_pw_ord_transp(m,s,l)
enddo enddo
phiL = ao_expo_phase_ord_transp(4,s,l) phiL = ao_expo_phase_ord_transp(4,s,l)
KL2 = ao_expo_pw_ord_transp(4,s,l) * ao_expo_pw_ord_transp(4,s,l) KL2 = ao_expo_pw_ord_transp(4,s,l)
C1 = zexp((0.d0, 1.d0) * (-phiI - phiJ - phiK - phiL) & C1 = zexp((0.d0, 1.d0) * (-phiI - phiJ - phiK - phiL) &
- 0.25d0 * (expo1_inv * KI2 + expo2_inv * KJ2 + expo3_inv * KK2 + expo4_inv * KL2)) - 0.25d0 * (expo1_inv * KI2 + expo2_inv * KJ2 + expo3_inv * KK2 + expo4_inv * KL2))

8
src/utils/cgtos_one_e.irp.f
View File

@ -42,12 +42,12 @@ complex*16 function overlap_cgaussian_x(A_center, B_center, alpha, beta, power_A
overlap_cgaussian_x *= fact_p overlap_cgaussian_x *= fact_p
end function overlap_cgaussian_x end
! --- ! ---
subroutine overlap_cgaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B & subroutine overlap_cgaussian_xyz(A_center, B_center, alpha, beta, power_A, power_B, &
, overlap_x, overlap_y, overlap_z, overlap, dim ) overlap_x, overlap_y, overlap_z, overlap, dim )
BEGIN_DOC BEGIN_DOC
! !
@ -113,7 +113,7 @@ subroutine overlap_cgaussian_xyz( A_center, B_center, alpha, beta, power_A, powe
overlap = overlap_x * overlap_y * overlap_z overlap = overlap_x * overlap_y * overlap_z
end subroutine overlap_cgaussian_xyz end
! --- ! ---