utils

Contains general purpose utilities (sorting, maps, etc).

Providers

binom

File : utils/util.irp.f

double precision, allocatable   :: binom        (0:40,0:40)
double precision, allocatable   :: binom_transp (0:40,0:40)

Binomial coefficients

Needed by:

binom_int

binom_int

File : utils/util.irp.f

integer*8, allocatable  :: binom_int    (0:40,0:40)
integer*8, allocatable  :: binom_int_transp     (0:40,0:40)

Binomial coefficients, as integers*8

Needs:

binom

binom_int_transp

File : utils/util.irp.f

integer*8, allocatable  :: binom_int    (0:40,0:40)
integer*8, allocatable  :: binom_int_transp     (0:40,0:40)

Binomial coefficients, as integers*8

Needs:

binom

binom_transp

File : utils/util.irp.f

double precision, allocatable   :: binom        (0:40,0:40)
double precision, allocatable   :: binom_transp (0:40,0:40)

Binomial coefficients

Needed by:

binom_int

degree_max_integration_lebedev

File : utils/angular_integration.irp.f

integer :: degree_max_integration_lebedev

integrate correctly a polynom of order “degree_max_integration_lebedev” needed for the angular integration according to LEBEDEV formulae

Needed by:

n_points_integration_angular_lebedev

theta_angular_integration_lebedev

dtranspose:()

File : utils/transpose.irp.f

recursive subroutine dtranspose(A,LDA,B,LDB,d1,d2)

Transpose input matrix A into output matrix B

Called by:

dtranspose() h_s2_u_0_nstates_openmp()

h_s2_u_0_nstates_zmq()

h_s2_u_0_two_e_nstates_openmp()

Calls:

dtranspose()

fact_inv

File : utils/util.irp.f

double precision, allocatable   :: fact_inv     (128)

1/n!

i2radix_sort:()

File : utils/sort.irp.f_template_644

recursive subroutine i2radix_sort(x,iorder,isize,iradix)

Sort integer array x(isize) using the radix sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. iradix should be -1 in input.

Called by:

get_mo_two_e_integrals_erf_i1j1() get_mo_two_e_integrals_erf_ij()

get_mo_two_e_integrals_i1j1() get_mo_two_e_integrals_ij()

i2radix_sort()

Calls:

i2radix_sort()

insertion_i2sort()

i8radix_sort:()

File : utils/sort.irp.f_template_644

recursive subroutine i8radix_sort(x,iorder,isize,iradix)

Sort integer array x(isize) using the radix sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. iradix should be -1 in input.

Called by:

get_mo_two_e_integrals_erf_i1j1() get_mo_two_e_integrals_erf_ij()

get_mo_two_e_integrals_i1j1() get_mo_two_e_integrals_ij()

i8radix_sort() psi_bilinear_matrix_transp_values

Calls:

i8radix_sort()

insertion_i8sort()

i8radix_sort_big:()

File : utils/sort.irp.f_template_644

recursive subroutine i8radix_sort_big(x,iorder,isize,iradix)

Sort integer array x(isize) using the radix sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. iradix should be -1 in input.

Called by:

i8radix_sort_big()

Calls:

i8radix_sort_big()

insertion_i8sort_big()

inv_int

File : utils/util.irp.f

double precision, allocatable   :: inv_int      (128)

1/i

iradix_sort:()

File : utils/sort.irp.f_template_644

recursive subroutine iradix_sort(x,iorder,isize,iradix)

Sort integer array x(isize) using the radix sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. iradix should be -1 in input.

Called by:

get_mo_two_e_integrals_erf_i1j1() get_mo_two_e_integrals_erf_ij()

get_mo_two_e_integrals_i1j1() get_mo_two_e_integrals_ij()

iradix_sort()

Calls:

insertion_isort()

iradix_sort()

iradix_sort_big:()

File : utils/sort.irp.f_template_644

recursive subroutine iradix_sort_big(x,iorder,isize,iradix)

Sort integer array x(isize) using the radix sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. iradix should be -1 in input.

Called by:

iradix_sort_big()

Calls:

insertion_isort_big()

iradix_sort_big()

n_points_integration_angular_lebedev

File : utils/angular_integration.irp.f

integer :: n_points_integration_angular_lebedev

Number of points needed for the angular integral

Needs:

degree_max_integration_lebedev

Needed by:

theta_angular_integration_lebedev

nproc

File : utils/util.irp.f

integer :: nproc

Number of current OpenMP threads

Needed by:

ao_two_e_integrals_erf_in_map ao_two_e_integrals_in_map

h_apply_buffer_allocated n_det

nthreads_davidson nthreads_pt2

overlap_gaussian_xyz:()

File : utils/one_e_integration.irp.f

  subroutine overlap_gaussian_xyz(A_center,B_center,alpha,beta,power_A,&
power_B,overlap_x,overlap_y,overlap_z,overlap,dim)

\[\begin{split}S_x = \int (x-A_x)^{a_x} exp(-\alpha(x-A_x)^2) (x-B_x)^{b_x} exp(-beta(x-B_x)^2) dx \\ S = S_x S_y S_z\end{split}\]

Called by:

ao_coef_normalization_libint_factor ao_coef_normalized ao_deriv2_x

ao_deriv_1_x ao_dipole_x

ao_overlap ao_spread_x

Calls:

gaussian_product_x()

give_explicit_poly_and_gaussian()

phi_angular_integration_lebedev

File : utils/angular_integration.irp.f

double precision, allocatable   :: theta_angular_integration_lebedev    (n_points_integration_angular_lebedev)
double precision, allocatable   :: phi_angular_integration_lebedev      (n_points_integration_angular_lebedev)
double precision, allocatable   :: weights_angular_integration_lebedev  (n_points_integration_angular_lebedev)

Theta phi values together with the weights values for the angular integration : integral [dphi,dtheta] f(x,y,z) = 4 * pi * sum (1<i<n_points_integration_angular_lebedev) f(xi,yi,zi) Note that theta and phi are in DEGREES !!

Needs:

degree_max_integration_lebedev

n_points_integration_angular_lebedev

qp_max_mem

File : utils/memory.irp.f

integer :: qp_max_mem

Maximum memory in Gb

Needs:

mpi_master

Needed by:

pt2_j

pt2_w

rec__quicksort:()

File : utils/sort.irp.f_template_261

recursive subroutine rec__quicksort(x, iorder, isize, first, last, level)

Called by:

quick_sort()

rec__quicksort()

Calls:

rec__quicksort()

rec_d_quicksort:()

File : utils/sort.irp.f_template_261

recursive subroutine rec_d_quicksort(x, iorder, isize, first, last, level)

Called by:

quick_dsort()

rec_d_quicksort()

Calls:

rec_d_quicksort()

rec_i2_quicksort:()

File : utils/sort.irp.f_template_261

recursive subroutine rec_i2_quicksort(x, iorder, isize, first, last, level)

Called by:

quick_i2sort()

rec_i2_quicksort()

Calls:

rec_i2_quicksort()

rec_i8_quicksort:()

File : utils/sort.irp.f_template_261

recursive subroutine rec_i8_quicksort(x, iorder, isize, first, last, level)

Called by:

quick_i8sort()

rec_i8_quicksort()

Calls:

rec_i8_quicksort()

rec_i_quicksort:()

File : utils/sort.irp.f_template_261

recursive subroutine rec_i_quicksort(x, iorder, isize, first, last, level)

Called by:

quick_isort()

rec_i_quicksort()

Calls:

rec_i_quicksort()

theta_angular_integration_lebedev

File : utils/angular_integration.irp.f

double precision, allocatable   :: theta_angular_integration_lebedev    (n_points_integration_angular_lebedev)
double precision, allocatable   :: phi_angular_integration_lebedev      (n_points_integration_angular_lebedev)
double precision, allocatable   :: weights_angular_integration_lebedev  (n_points_integration_angular_lebedev)

Theta phi values together with the weights values for the angular integration : integral [dphi,dtheta] f(x,y,z) = 4 * pi * sum (1<i<n_points_integration_angular_lebedev) f(xi,yi,zi) Note that theta and phi are in DEGREES !!

Needs:

degree_max_integration_lebedev

n_points_integration_angular_lebedev

transpose:()

File : utils/transpose.irp.f

recursive subroutine transpose(A,LDA,B,LDB,d1,d2)

Transpose input matrix A into output matrix B

Called by:

transpose()

Calls:

transpose()

weights_angular_integration_lebedev

File : utils/angular_integration.irp.f

double precision, allocatable   :: theta_angular_integration_lebedev    (n_points_integration_angular_lebedev)
double precision, allocatable   :: phi_angular_integration_lebedev      (n_points_integration_angular_lebedev)
double precision, allocatable   :: weights_angular_integration_lebedev  (n_points_integration_angular_lebedev)

Theta phi values together with the weights values for the angular integration : integral [dphi,dtheta] f(x,y,z) = 4 * pi * sum (1<i<n_points_integration_angular_lebedev) f(xi,yi,zi) Note that theta and phi are in DEGREES !!

Needs:

degree_max_integration_lebedev

n_points_integration_angular_lebedev

Subroutines / functions

a_coef:()

File : utils/need.irp.f

double precision function a_coef(n)

add_poly:()

File : utils/integration.irp.f

subroutine add_poly(b,nb,c,nc,d,nd)

Add two polynomials D(t) =! D(t) +( B(t)+C(t))

add_poly_multiply:()

File : utils/integration.irp.f

subroutine add_poly_multiply(b,nb,cst,d,nd)

Add a polynomial multiplied by a constant D(t) =! D(t) +( cst * B(t))

Called by:

general_primitive_integral()

general_primitive_integral_erf()

apply_rotation:()

File : utils/linear_algebra.irp.f

subroutine apply_rotation(A,LDA,R,LDR,B,LDB,m,n)

Apply the rotation found by find_rotation

Calls:

dgemm()

approx_dble:()

File : utils/util.irp.f

double precision function approx_dble(a,n)

b_coef:()

File : utils/need.irp.f

double precision function b_coef(n,u)

binom_func:()

File : utils/util.irp.f

double precision function binom_func(i,j)

check_mem:()

File : utils/memory.irp.f

subroutine check_mem(rss_in,routine)

Checks if n gigabytes can be allocated. If not, exit the run.

Needs:

qp_max_mem

Called by:

create_selection_buffer() davidson_diag_hjj_sjj() make_selection_buffer_s2() merge_selection_buffers() pt2_collector() pt2_j

pt2_w remove_duplicates_in_selection_buffer() run_cipsi() run_pt2_slave() run_stochastic_cipsi()

select_singles_and_doubles() selection_collector() sort_selection_buffer() testteethbuilding() zmq_pt2()

Calls:

resident_memory()

dble_fact:()

File : utils/util.irp.f

double precision function dble_fact(n)

dble_fact_even:()

File : utils/util.irp.f

double precision function dble_fact_even(n) result(fact2)

n!!

dble_fact_odd:()

File : utils/util.irp.f

double precision function dble_fact_odd(n) result(fact2)

n!!

dble_logfact:()

File : utils/util.irp.f

double precision function dble_logfact(n) result(logfact2)

n!!

ddfact2:()

File : utils/need.irp.f

double precision function ddfact2(n)

dset_order:()

File : utils/sort.irp.f_template_347

subroutine dset_order(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A.

Called by:

ao_coef_normalized_ordered h_s2_u_0_nstates_openmp()

h_s2_u_0_nstates_zmq() h_s2_u_0_two_e_nstates_openmp()

psi_bilinear_matrix_transp_values psi_bilinear_matrix_values

dset_order_big:()

File : utils/sort.irp.f_template_412

subroutine dset_order_big(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A. This is a version for very large arrays where the indices need to be in integer*8 format

dsort:()

File : utils/sort.irp.f_template_293

subroutine dsort(x,iorder,isize)

Sort array x(isize). iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

ao_coef_normalized_ordered make_selection_buffer_s2()

psi_det_sorted reorder_core_orb()

sort_selection_buffer()

Calls:

insertion_dsort()

quick_dsort()

erf0:()

File : utils/need.irp.f

double precision function erf0(x)

extrapolate_data:()

File : utils/extrapolation.irp.f

subroutine extrapolate_data(N_data, data, pt2, output)

Extrapolate the data to the FCI limit

Called by:

extrapolated_energy

Calls:

get_pseudo_inverse()

f_integral:()

File : utils/integration.irp.f

double precision function F_integral(n,p)

function that calculates the following integral int_{-infty}^{+infty} x^n exp(-p x^2) dx

fact:()

File : utils/util.irp.f

double precision function fact(n)

n!

find_rotation:()

File : utils/linear_algebra.irp.f

subroutine find_rotation(A,LDA,B,m,C,n)

Find A.C = B

Calls:

dgemm()

get_pseudo_inverse()

gammln:()

File : utils/need.irp.f

double precision function gammln(xx)

gammp:()

File : utils/need.irp.f

double precision function gammp(a,x)

Calls:

gcf()

gser()

gaussian_product:()

File : utils/integration.irp.f

subroutine gaussian_product(a,xa,b,xb,k,p,xp)

Gaussian product in 1D. e^{-a (x-x_A)^2} e^{-b (x-x_B)^2} = K_{ab}^x e^{-p (x-x_P)^2}

Called by:

give_explicit_poly_and_gaussian()

give_explicit_poly_and_gaussian_double()

gaussian_product_x:()

File : utils/integration.irp.f

subroutine gaussian_product_x(a,xa,b,xb,k,p,xp)

Gaussian product in 1D. e^{-a (x-x_A)^2} e^{-b (x-x_B)^2} = K_{ab}^x e^{-p (x-x_P)^2}

Called by:

overlap_gaussian_xyz()

gcf:()

File : utils/need.irp.f

subroutine gcf(gammcf,a,x,gln)

Called by:

gammp()

get_inverse:()

File : utils/linear_algebra.irp.f

subroutine get_inverse(A,LDA,m,C,LDC)

Returns the inverse of the square matrix A

Called by:

ao_ortho_canonical_coef_inv

Calls:

dgetrf()

dgetri()

get_pseudo_inverse:()

File : utils/linear_algebra.irp.f

subroutine get_pseudo_inverse(A,LDA,m,n,C,LDC)

Find C = A^-1

Called by:

ao_cart_to_sphe_inv extrapolate_data()

find_rotation()

s_inv

Calls:

dgesvd()

give_explicit_poly_and_gaussian:()

File : utils/integration.irp.f

subroutine give_explicit_poly_and_gaussian(P_new,P_center,p,fact_k,iorder,alpha,beta,a,b,A_center,B_center,dim)

Transforms the product of

(x-x_A)^a(1) (x-x_B)^b(1) (x-x_A)^a(2) (y-y_B)^b(2) (z-z_A)^a(3) (z-z_B)^b(3) exp(-(r-A)^2 alpha) exp(-(r-B)^2 beta)

into

fact_k * [ sum (l_x = 0,i_order(1)) P_new(l_x,1) * (x-P_center(1))^l_x ] exp (- p (x-P_center(1))^2 )

• [ sum (l_y = 0,i_order(2)) P_new(l_y,2) * (y-P_center(2))^l_y ] exp (- p (y-P_center(2))^2 )
• [ sum (l_z = 0,i_order(3)) P_new(l_z,3) * (z-P_center(3))^l_z ] exp (- p (z-P_center(3))^2 )

Called by:

ao_two_e_integral() ao_two_e_integral_erf()

ao_two_e_integral_schwartz_accel() ao_two_e_integral_schwartz_accel_erf()

give_explicit_poly_and_gaussian_double() overlap_gaussian_xyz()

Calls:

gaussian_product()

multiply_poly()

recentered_poly2()

give_explicit_poly_and_gaussian_double:()

File : utils/integration.irp.f

subroutine give_explicit_poly_and_gaussian_double(P_new,P_center,p,fact_k,iorder,alpha,beta,gama,a,b,A_center,B_center,Nucl_center,dim)

Transforms the product of

(x-x_A)^a(1) (x-x_B)^b(1) (x-x_A)^a(2) (y-y_B)^b(2) (z-z_A)^a(3) (z-z_B)^b(3) exp(-(r-A)^2 alpha) exp(-(r-B)^2 beta) exp(-(r-Nucl_center)^2 gama

into

fact_k * [ sum (l_x = 0,i_order(1)) P_new(l_x,1) * (x-P_center(1))^l_x ] exp (- p (x-P_center(1))^2 )

• [ sum (l_y = 0,i_order(2)) P_new(l_y,2) * (y-P_center(2))^l_y ] exp (- p (y-P_center(2))^2 )
• [ sum (l_z = 0,i_order(3)) P_new(l_z,3) * (z-P_center(3))^l_z ] exp (- p (z-P_center(3))^2 )

Calls:

gaussian_product()

give_explicit_poly_and_gaussian()

give_explicit_poly_and_gaussian_x:()

File : utils/integration.irp.f

subroutine give_explicit_poly_and_gaussian_x(P_new,P_center,p,fact_k,iorder,alpha,beta,a,b,A_center,B_center,dim)

Transform the product of

(x-x_A)^a(1) (x-x_B)^b(1) (x-x_A)^a(2) (y-y_B)^b(2) (z-z_A)^a(3) (z-z_B)^b(3) exp(-(r-A)^2 alpha) exp(-(r-B)^2 beta)

into

fact_k (x-x_P)^iorder(1) (y-y_P)^iorder(2) (z-z_P)^iorder(3) exp(-p(r-P)^2)

Called by:

overlap_gaussian_x()

Calls:

multiply_poly()

recentered_poly2()

gser:()

File : utils/need.irp.f

subroutine gser(gamser,a,x,gln)

Called by:

gammp()

heap_dsort:()

File : utils/sort.irp.f_template_261

subroutine heap_dsort(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

heap_dsort_big:()

File : utils/sort.irp.f_template_261

subroutine heap_dsort_big(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

heap_i2sort:()

File : utils/sort.irp.f_template_261

subroutine heap_i2sort(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

heap_i2sort_big:()

File : utils/sort.irp.f_template_261

subroutine heap_i2sort_big(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

heap_i8sort:()

File : utils/sort.irp.f_template_261

subroutine heap_i8sort(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

heap_i8sort_big:()

File : utils/sort.irp.f_template_261

subroutine heap_i8sort_big(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

heap_isort:()

File : utils/sort.irp.f_template_261

subroutine heap_isort(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

heap_isort_big:()

File : utils/sort.irp.f_template_261

subroutine heap_isort_big(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

heap_sort:()

File : utils/sort.irp.f_template_261

subroutine heap_sort(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

heap_sort_big:()

File : utils/sort.irp.f_template_261

subroutine heap_sort_big(x,iorder,isize)

Sort array x(isize) using the heap sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

hermite:()

File : utils/integration.irp.f

double precision function hermite(n,x)

Hermite polynomial

i2set_order:()

File : utils/sort.irp.f_template_347

subroutine i2set_order(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A.

i2set_order_big:()

File : utils/sort.irp.f_template_412

subroutine i2set_order_big(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A. This is a version for very large arrays where the indices need to be in integer*8 format

i2sort:()

File : utils/sort.irp.f_template_315

subroutine i2sort(x,iorder,isize)

Sort array x(isize). iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Calls:

quick_i2sort()

i8set_order:()

File : utils/sort.irp.f_template_347

subroutine i8set_order(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A.

i8set_order_big:()

File : utils/sort.irp.f_template_412

subroutine i8set_order_big(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A. This is a version for very large arrays where the indices need to be in integer*8 format

i8sort:()

File : utils/sort.irp.f_template_315

subroutine i8sort(x,iorder,isize)

Sort array x(isize). iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

make_selection_buffer_s2() psi_bilinear_matrix_values psi_det_alpha_unique

psi_det_beta_unique psi_occ_pattern

remove_duplicates_in_selection_buffer() sort_dets_by_det_search_key()

Calls:

quick_i8sort()

insertion_dsort:()

File : utils/sort.irp.f_template_261

subroutine insertion_dsort (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

dsort()

insertion_dsort_big:()

File : utils/sort.irp.f_template_412

subroutine insertion_dsort_big (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

insertion_i2sort:()

File : utils/sort.irp.f_template_261

subroutine insertion_i2sort (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

i2radix_sort()

insertion_i2sort_big:()

File : utils/sort.irp.f_template_412

subroutine insertion_i2sort_big (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

insertion_i8sort:()

File : utils/sort.irp.f_template_261

subroutine insertion_i8sort (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

i8radix_sort()

insertion_i8sort_big:()

File : utils/sort.irp.f_template_412

subroutine insertion_i8sort_big (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

Called by:

i8radix_sort_big()

insertion_isort:()

File : utils/sort.irp.f_template_261

subroutine insertion_isort (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

iradix_sort()

insertion_isort_big:()

File : utils/sort.irp.f_template_412

subroutine insertion_isort_big (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

Called by:

iradix_sort_big()

insertion_sort:()

File : utils/sort.irp.f_template_261

subroutine insertion_sort (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

sort()

insertion_sort_big:()

File : utils/sort.irp.f_template_412

subroutine insertion_sort_big (x,iorder,isize)

Sort array x(isize) using the insertion sort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements. This is a version for very large arrays where the indices need to be in integer*8 format

iset_order:()

File : utils/sort.irp.f_template_347

subroutine iset_order(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A.

Called by:

psi_bilinear_matrix_transp_values

psi_bilinear_matrix_values

iset_order_big:()

File : utils/sort.irp.f_template_412

subroutine iset_order_big(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A. This is a version for very large arrays where the indices need to be in integer*8 format

isort:()

File : utils/sort.irp.f_template_315

subroutine isort(x,iorder,isize)

Sort array x(isize). iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Called by:

select_singles_and_doubles()

Calls:

quick_isort()

lapack_diag:()

File : utils/linear_algebra.irp.f

subroutine lapack_diag(eigvalues,eigvectors,H,nmax,n)

Diagonalize matrix H

H is untouched between input and ouptut

eigevalues(i) = ith lowest eigenvalue of the H matrix

eigvectors(i,j) = <i|psi_j> where i is the basis function and psi_j is the j th eigenvector

Called by:

ci_electronic_energy davidson_diag_hjj_sjj()

mo_as_eigvectors_of_mo_matrix()

psi_coef_cas_diagonalized

Calls:

dsyev()

lapack_diagd:()

File : utils/linear_algebra.irp.f

subroutine lapack_diagd(eigvalues,eigvectors,H,nmax,n)

Diagonalize matrix H

H is untouched between input and ouptut

eigevalues(i) = ith lowest eigenvalue of the H matrix

eigvectors(i,j) = <i|psi_j> where i is the basis function and psi_j is the j th eigenvector

Called by:

inertia_tensor_eigenvectors

Calls:

dsyevd()

logfact:()

File : utils/util.irp.f

double precision function logfact(n)

n!

lowercase:()

File : utils/util.irp.f

subroutine lowercase(txt,n)

Transform to lower case

Called by:

end_parallel_job()

new_parallel_job()

map_load_from_disk:()

File : utils/map_functions.irp.f

subroutine map_load_from_disk(filename,map)

Called by:

ao_two_e_integrals_erf_in_map ao_two_e_integrals_in_map

mo_two_e_integrals_erf_in_map

mo_two_e_integrals_in_map

Calls:

c_f_pointer()

mmap()

map_save_to_disk:()

File : utils/map_functions.irp.f

subroutine map_save_to_disk(filename,map)

Called by:

ao_two_e_integrals_erf_in_map ao_two_e_integrals_in_map mo_two_e_integrals_erf_in_map

mo_two_e_integrals_in_map save_erf_two_e_integrals_ao() save_erf_two_e_integrals_mo()

save_erf_two_e_ints_ao_into_ints_ao() save_erf_two_e_ints_mo_into_ints_mo()

Calls:

c_f_pointer() map_sort()

mmap()

msync()

memory_of_double:()

File : utils/memory.irp.f

double precision function memory_of_double(n)

Computes the memory required for n double precision elements in gigabytes.

memory_of_int:()

File : utils/memory.irp.f

double precision function memory_of_int(n)

Computes the memory required for n double precision elements in gigabytes.

multiply_poly:()

File : utils/integration.irp.f

subroutine multiply_poly(b,nb,c,nc,d,nd)

Multiply two polynomials D(t) =! D(t) +( B(t)*C(t))

Called by:

general_primitive_integral() general_primitive_integral_erf() give_explicit_poly_and_gaussian() give_explicit_poly_and_gaussian_x() give_polynomial_mult_center_one_e()

give_polynomial_mult_center_one_e_erf() give_polynomial_mult_center_one_e_erf_opt() i_x1_pol_mult_a1() i_x1_pol_mult_a2()

i_x1_pol_mult_one_e() i_x1_pol_mult_recurs() i_x2_pol_mult() i_x2_pol_mult_one_e()

normalize:()

File : utils/util.irp.f

subroutine normalize(u,sze)

Normalizes vector u

Called by:

copy_h_apply_buffer_to_wf()

davidson_diag_hjj_sjj()

save_wavefunction_general()

Calls:

dscal()

ortho_canonical:()

File : utils/linear_algebra.irp.f

subroutine ortho_canonical(overlap,LDA,N,C,LDC,m)

Compute C_new=C_old.U.s^-1/2 canonical orthogonalization.

overlap : overlap matrix

LDA : leftmost dimension of overlap array

N : Overlap matrix is NxN (array is (LDA,N) )

C : Coefficients of the vectors to orthogonalize. On exit,

orthogonal vectors

LDC : leftmost dimension of C

m : Coefficients matrix is MxN, ( array is (LDC,N) )

Called by:

ao_ortho_canonical_coef

Calls:

dgemm()

svd()

ortho_lowdin:()

File : utils/linear_algebra.irp.f

subroutine ortho_lowdin(overlap,LDA,N,C,LDC,m)

Compute C_new=C_old.S^-1/2 orthogonalization.

overlap : overlap matrix

LDA : leftmost dimension of overlap array

N : Overlap matrix is NxN (array is (LDA,N) )

C : Coefficients of the vectors to orthogonalize. On exit,

orthogonal vectors

LDC : leftmost dimension of C

M : Coefficients matrix is MxN, ( array is (LDC,N) )

Called by:

ao_ortho_lowdin_coef

orthonormalize_mos()

Calls:

dgemm()

svd()

ortho_qr:()

File : utils/linear_algebra.irp.f

subroutine ortho_qr(A,LDA,m,n)

Orthogonalization using Q.R factorization

A : matrix to orthogonalize

LDA : leftmost dimension of A

n : Number of rows of A

m : Number of columns of A

Called by:

davidson_diag_hjj_sjj()

Calls:

dgeqrf()

dorgqr()

ortho_qr_unblocked:()

File : utils/linear_algebra.irp.f

subroutine ortho_qr_unblocked(A,LDA,m,n)

Orthogonalization using Q.R factorization

A : matrix to orthogonalize

LDA : leftmost dimension of A

n : Number of rows of A

m : Number of columns of A

Calls:

dgeqr2()

dorg2r()

overlap_gaussian_x:()

File : utils/one_e_integration.irp.f

double precision function overlap_gaussian_x(A_center,B_center,alpha,beta,power_A,power_B,dim)

\[\sum_{-infty}^{+infty} (x-A_x)^ax (x-B_x)^bx exp(-alpha(x-A_x)^2) exp(-beta(x-B_X)^2) dx\]

Calls:

give_explicit_poly_and_gaussian_x()

overlap_x_abs:()

File : utils/one_e_integration.irp.f

subroutine overlap_x_abs(A_center,B_center,alpha,beta,power_A,power_B,overlap_x,lower_exp_val,dx,nx)

Called by:

ao_overlap_abs

print_memory_usage:()

File : utils/memory.irp.f

subroutine print_memory_usage()

Prints the memory usage in the output

Called by:

write_time()

Calls:

resident_memory()

total_memory()

quick_dsort:()

File : utils/sort.irp.f_template_261

subroutine quick_dsort(x, iorder, isize)

Sort array x(isize) using the quicksort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Needs:

nproc

Called by:

dsort()

Calls:

rec_d_quicksort()

quick_i2sort:()

File : utils/sort.irp.f_template_261

subroutine quick_i2sort(x, iorder, isize)

Sort array x(isize) using the quicksort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Needs:

nproc

Called by:

i2sort()

Calls:

rec_i2_quicksort()

quick_i8sort:()

File : utils/sort.irp.f_template_261

subroutine quick_i8sort(x, iorder, isize)

Sort array x(isize) using the quicksort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Needs:

nproc

Called by:

i8sort()

Calls:

rec_i8_quicksort()

quick_isort:()

File : utils/sort.irp.f_template_261

subroutine quick_isort(x, iorder, isize)

Sort array x(isize) using the quicksort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Needs:

nproc

Called by:

isort()

Calls:

rec_i_quicksort()

quick_sort:()

File : utils/sort.irp.f_template_261

subroutine quick_sort(x, iorder, isize)

Sort array x(isize) using the quicksort algorithm. iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Needs:

nproc

Called by:

sort()

Calls:

rec__quicksort()

recentered_poly2:()

File : utils/integration.irp.f

subroutine recentered_poly2(P_new,x_A,x_P,a,P_new2,x_B,x_Q,b)

Recenter two polynomials

Needs:

binom

Called by:

give_explicit_poly_and_gaussian()

give_explicit_poly_and_gaussian_x()

resident_memory:()

File : utils/memory.irp.f

subroutine resident_memory(value)

Returns the current used memory in gigabytes used by the current process.

Needs:

file_lock

Called by:

check_mem() davidson_diag_hjj_sjj()

print_memory_usage()

zmq_pt2()

Calls:

omp_set_lock()

omp_unset_lock()

rint:()

File : utils/integration.irp.f

double precision function rint(n,rho)

\[\int_0^1 dx \exp(-p x^2) x^n\]

rint1:()

File : utils/integration.irp.f

double precision function rint1(n,rho)

Standard version of rint

Needs:

inv_int

fact_inv

rint_large_n:()

File : utils/integration.irp.f

double precision function rint_large_n(n,rho)

Version of rint for large values of n

rint_sum:()

File : utils/integration.irp.f

double precision function rint_sum(n_pt_out,rho,d1)

Needed for the calculation of two-electron integrals.

rinteg:()

File : utils/need.irp.f

double precision function rinteg(n,u)

rintgauss:()

File : utils/need.irp.f

double precision function rintgauss(n)

sabpartial:()

File : utils/need.irp.f

double precision function SABpartial(zA,zB,A,B,nA,nB,gamA,gamB,l)

Needs:

binom

set_order:()

File : utils/sort.irp.f_template_347

subroutine set_order(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A.

set_order_big:()

File : utils/sort.irp.f_template_412

subroutine set_order_big(x,iorder,isize)

array A has already been sorted, and iorder has contains the new order of elements of A. This subroutine changes the order of x to match the new order of A. This is a version for very large arrays where the indices need to be in integer*8 format

sort:()

File : utils/sort.irp.f_template_293

subroutine sort(x,iorder,isize)

Sort array x(isize). iorder in input should be (1,2,3,…,isize), and in output contains the new order of the elements.

Calls:

insertion_sort()

quick_sort()

sorted_dnumber:()

File : utils/sort.irp.f_template_261

subroutine sorted_dnumber(x,isize,n)

Returns the number of sorted elements

sorted_i2number:()

File : utils/sort.irp.f_template_261

subroutine sorted_i2number(x,isize,n)

Returns the number of sorted elements

sorted_i8number:()

File : utils/sort.irp.f_template_261

subroutine sorted_i8number(x,isize,n)

Returns the number of sorted elements

sorted_inumber:()

File : utils/sort.irp.f_template_261

subroutine sorted_inumber(x,isize,n)

Returns the number of sorted elements

sorted_number:()

File : utils/sort.irp.f_template_261

subroutine sorted_number(x,isize,n)

Returns the number of sorted elements

svd:()

File : utils/linear_algebra.irp.f

subroutine svd(A,LDA,U,LDU,D,Vt,LDVt,m,n)

Compute A = U.D.Vt

LDx : leftmost dimension of x

Dimsneion of A is m x n

Called by:

mo_as_svd_vectors_of_mo_matrix() mo_as_svd_vectors_of_mo_matrix_eig()

ortho_canonical() ortho_lowdin()

s_half s_half_inv

Calls:

dgesvd()

total_memory:()

File : utils/memory.irp.f

subroutine total_memory(value)

Returns the current used memory in gigabytes used by the current process.

Called by:

print_memory_usage()

u_dot_u:()

File : utils/util.irp.f

double precision function u_dot_u(u,sze)

Compute <u|u>

u_dot_v:()

File : utils/util.irp.f

double precision function u_dot_v(u,v,sze)

Compute <u|v>

wall_time:()

File : utils/util.irp.f

subroutine wall_time(t)

The equivalent of cpu_time, but for the wall time.

Called by:

add_integrals_to_map() add_integrals_to_map_erf() add_integrals_to_map_no_exit_34() add_integrals_to_map_three_indices() ao_pseudo_integrals_local

ao_pseudo_integrals_non_local ao_two_e_integrals_erf_in_map ao_two_e_integrals_in_map davidson_converged() davidson_diag_hjj_sjj()

output_wall_time_0 pt2_collector() run_pt2_slave() run_slave_main() write_time()

Calls:

system_clock()

write_git_log:()

File : utils/util.irp.f

subroutine write_git_log(iunit)

Write the last git commit in file iunit.