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@ -4,12 +4,12 @@ open Constants
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type t = {
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type t = {
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expo : float array array;
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expo : float array array;
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coef : float array array;
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coef : float array array;
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center : Coordinate.t;
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ang_mom : AngularMomentum.t;
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norm_coef : float array array;
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norm_coef : float array array;
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norm_coef_scale : float array;
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norm_coef_scale : float array;
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index : int;
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contr : ContractedShell.t array;
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contr : ContractedShell.t array;
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index : int;
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center : Coordinate.t;
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ang_mom : AngularMomentum.t;
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}
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}
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module Am = AngularMomentum
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module Am = AngularMomentum
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@ -5,9 +5,9 @@ exception Null_contribution
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type t =
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type t =
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{
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{
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contracted_shell_pairs : ContractedShellPair.t list;
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atomic_shell_a : AtomicShell.t;
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atomic_shell_a : AtomicShell.t;
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atomic_shell_b : AtomicShell.t;
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atomic_shell_b : AtomicShell.t;
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contracted_shell_pairs : ContractedShellPair.t list;
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}
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}
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@ -2,6 +2,7 @@ open Util
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type t =
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type t =
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{
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{
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contracted_shell_pair_couples : ContractedShellPairCouple.t list ;
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atomic_shell_pair_p: AtomicShellPair.t ;
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atomic_shell_pair_p: AtomicShellPair.t ;
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atomic_shell_pair_q: AtomicShellPair.t ;
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atomic_shell_pair_q: AtomicShellPair.t ;
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atomic_shell_a : AtomicShell.t ;
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atomic_shell_a : AtomicShell.t ;
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@ -9,7 +10,6 @@ type t =
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atomic_shell_c : AtomicShell.t ;
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atomic_shell_c : AtomicShell.t ;
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atomic_shell_d : AtomicShell.t ;
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atomic_shell_d : AtomicShell.t ;
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ang_mom : AngularMomentum.t ;
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ang_mom : AngularMomentum.t ;
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contracted_shell_pair_couples : ContractedShellPairCouple.t list ;
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}
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}
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module Am = AngularMomentum
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module Am = AngularMomentum
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@ -4,12 +4,12 @@ open Constants
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type t = {
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type t = {
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expo : float array;
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expo : float array;
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coef : float array;
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coef : float array;
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center : Coordinate.t;
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ang_mom : AngularMomentum.t;
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norm_coef : float array;
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norm_coef : float array;
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norm_coef_scale : float array;
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norm_coef_scale : float array;
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index : int;
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prim : PrimitiveShell.t array;
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prim : PrimitiveShell.t array;
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center : Coordinate.t;
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ang_mom : AngularMomentum.t;
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index : int;
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}
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}
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module Am = AngularMomentum
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module Am = AngularMomentum
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@ -5,9 +5,9 @@ exception Null_contribution
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type t =
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type t =
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{
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{
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coefs_and_shell_pairs : (float * PrimitiveShellPair.t) list;
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shell_a : ContractedShell.t;
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shell_a : ContractedShell.t;
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shell_b : ContractedShell.t;
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shell_b : ContractedShell.t;
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coefs_and_shell_pairs : (float * PrimitiveShellPair.t) list;
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}
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}
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@ -2,6 +2,7 @@ open Util
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type t =
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type t =
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{
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{
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coefs_and_shell_pair_couples : (float * PrimitiveShellPairCouple.t) list ;
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shell_pair_p: ContractedShellPair.t ;
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shell_pair_p: ContractedShellPair.t ;
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shell_pair_q: ContractedShellPair.t ;
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shell_pair_q: ContractedShellPair.t ;
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shell_a : ContractedShell.t ;
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shell_a : ContractedShell.t ;
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@ -9,7 +10,6 @@ type t =
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shell_c : ContractedShell.t ;
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shell_c : ContractedShell.t ;
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shell_d : ContractedShell.t ;
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shell_d : ContractedShell.t ;
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ang_mom : AngularMomentum.t ;
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ang_mom : AngularMomentum.t ;
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coefs_and_shell_pair_couples : (float * PrimitiveShellPairCouple.t) list ;
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}
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}
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module Am = AngularMomentum
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module Am = AngularMomentum
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@ -3,9 +3,9 @@ open Constants
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open Coordinate
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open Coordinate
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type t = {
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type t = {
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norm_scales : float array lazy_t;
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exponent : float;
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exponent : float;
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normalization : float;
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normalization : float;
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norm_scales : float array lazy_t;
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center : Coordinate.t;
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center : Coordinate.t;
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ang_mom : AngularMomentum.t;
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ang_mom : AngularMomentum.t;
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}
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}
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@ -3,15 +3,15 @@ open Constants
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type t = {
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type t = {
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norm_scales : float array lazy_t;
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exponent : float; (* {% $\alpha + \beta$ %} *)
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exponent : float; (* {% $\alpha + \beta$ %} *)
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exponent_inv : float; (* {% $1/(\alpha + \beta)$ %} *)
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exponent_inv : float; (* {% $1/(\alpha + \beta)$ %} *)
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a_minus_b_sq : float; (* {% $|A-B|^2$ %} *)
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normalization : float; (* [norm_coef_a * norm_coef_b * g], with
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{% $g = (\pi/(\alpha+\beta))^(3/2) \exp (-|A-B|^2 \alpha\beta/(\alpha+\beta))$ %} *)
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center : Coordinate.t; (* {% $P = (\alpha A + \beta B)/(\alpha+\beta)$ %} *)
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center : Coordinate.t; (* {% $P = (\alpha A + \beta B)/(\alpha+\beta)$ %} *)
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center_minus_a : Coordinate.t; (* {% $P - A$ %} *)
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center_minus_a : Coordinate.t; (* {% $P - A$ %} *)
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a_minus_b : Coordinate.t; (* {% $A - B$ %} *)
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a_minus_b : Coordinate.t; (* {% $A - B$ %} *)
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a_minus_b_sq : float; (* {% $|A-B|^2$ %} *)
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norm_scales : float array lazy_t;
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normalization : float; (* [norm_coef_a * norm_coef_b * g], with
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{% $g = (\pi/(\alpha+\beta))^(3/2) \exp (-|A-B|^2 \alpha\beta/(\alpha+\beta))$ %} *)
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ang_mom : AngularMomentum.t;
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ang_mom : AngularMomentum.t;
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shell_a : PrimitiveShell.t;
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shell_a : PrimitiveShell.t;
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shell_b : PrimitiveShell.t;
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shell_b : PrimitiveShell.t;
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@ -2,6 +2,7 @@ exception NullContribution
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type t =
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type t =
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{
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{
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zkey_array : Zkey.t array lazy_t;
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shell_pair_p: PrimitiveShellPair.t ;
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shell_pair_p: PrimitiveShellPair.t ;
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shell_pair_q: PrimitiveShellPair.t ;
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shell_pair_q: PrimitiveShellPair.t ;
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shell_a : PrimitiveShell.t ;
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shell_a : PrimitiveShell.t ;
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@ -9,7 +10,6 @@ type t =
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shell_c : PrimitiveShell.t ;
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shell_c : PrimitiveShell.t ;
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shell_d : PrimitiveShell.t ;
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shell_d : PrimitiveShell.t ;
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ang_mom : AngularMomentum.t ;
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ang_mom : AngularMomentum.t ;
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zkey_array : Zkey.t array lazy_t;
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}
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}
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module Am = AngularMomentum
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module Am = AngularMomentum
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@ -157,52 +157,25 @@ let make ~simulation ~mo_type ~mo_occupation ~mo_coef () =
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let of_rhf hf =
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let of_rhf hf =
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let mo_num = Vec.dim hf.HF.eigenvalues in
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let mo_coef = hf.HF.eigenvectors in
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let mo_coef = hf.HF.eigenvectors in
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let simulation = hf.HF.simulation in
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let simulation = hf.HF.simulation in
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let mo_type = RHF in
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let mo_type = RHF in
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let nocc = hf.HF.nocc in
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let mo_occupation = hf.HF.occupation in
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let mo_occupation =
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Array.init mo_num (fun i ->
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if i < nocc then 2. else 0.)
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|> Vec.of_array
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in
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let result =
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make ~simulation ~mo_type ~mo_occupation ~mo_coef ()
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make ~simulation ~mo_type ~mo_occupation ~mo_coef ()
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in
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(*
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let () =
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let of_rohf hf =
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let e = ref 0. in
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let mo_coef = hf.HF.eigenvectors in
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let t = KinInt.matrix (Lazy.force result.kin_ints) in
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let simulation = hf.HF.simulation in
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let v = NucInt.matrix (Lazy.force result.eN_ints) in
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let mo_type = ROHF in
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let g = Lazy.force result.ee_ints in
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let mo_occupation = hf.HF.occupation in
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for i = 1 to 5 do
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make ~simulation ~mo_type ~mo_occupation ~mo_coef ()
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e := !e +. 2. *. (t.{i,i} +. v.{i,i})
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done;
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Printf.printf "Energy one-e = %20.15f\n" !e;
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let e2 = ref 0. in
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for i = 1 to 5 do
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for j = i+1 to 5 do
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e2 := !e2 +. 2. *. (ERI.get_phys g i j i j -.
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ERI.get_phys g i j j i)
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done;
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done;
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for i = 1 to 5 do
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for j = 1 to 5 do
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e2 := !e2 +. ERI.get_phys g i j i j
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done;
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done;
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Printf.printf "Energy two-e = %20.15f\n" !e2;
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Printf.printf "Energy = %20.15f\n" (Si.nuclear_repulsion simulation +. !e +. !e2)
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in
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*)
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result
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let of_hartree_fock = function
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let of_hartree_fock = function
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| HF.RHF hf -> of_rhf hf
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| HF.RHF hf -> of_rhf hf
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| _ -> assert false
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| HF.ROHF hf -> of_rohf hf
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| HF.UHF _ -> assert false
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@ -5,16 +5,17 @@ type s =
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{
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{
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simulation : Simulation.t;
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simulation : Simulation.t;
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guess : Guess.t;
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guess : Guess.t;
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eigenvectors : Lacaml.D.Mat.t ;
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eigenvectors : Mat.t ;
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eigenvalues : Lacaml.D.Vec.t ;
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eigenvalues : Vec.t ;
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nocc : int;
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occupation : Vec.t ;
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iterations : (float * float * float) array;
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energy : float ;
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energy : float ;
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nuclear_repulsion : float ;
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nuclear_repulsion : float ;
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kin_energy : float ;
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kin_energy : float ;
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eN_energy : float ;
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eN_energy : float ;
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coulomb_energy : float ;
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coulomb_energy : float ;
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exchange_energy : float ;
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exchange_energy : float ;
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iterations : (float * float * float) array;
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nocc : int;
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}
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}
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@ -1,19 +1,22 @@
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open Lacaml.D
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(** Data structure representing the output of a Hartree-Fock caculation *)
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(** Data structure representing the output of a Hartree-Fock caculation *)
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type s =
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type s =
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{
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{
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simulation : Simulation.t; (** Simulation which was used for HF calculation *)
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simulation : Simulation.t; (** Simulation which was used for HF calculation *)
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guess : Guess.t; (** Initial guess *)
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guess : Guess.t; (** Initial guess *)
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eigenvectors : Lacaml.D.Mat.t ; (** Final eigenvectors *)
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eigenvectors : Mat.t ; (** Final eigenvectors *)
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eigenvalues : Lacaml.D.Vec.t ; (** Final eigenvalues *)
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eigenvalues : Vec.t ; (** Final eigenvalues *)
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nocc : int ; (** Number of occupied MOs *)
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occupation : Vec.t ; (** Diagonal of the density matrix *)
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iterations : (float * float * float) array;
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energy : float ; (** Final energy *)
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energy : float ; (** Final energy *)
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nuclear_repulsion : float ; (** Nucleus-Nucleus potential energy *)
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nuclear_repulsion : float ; (** Nucleus-Nucleus potential energy *)
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kin_energy : float ; (** Kinetic energy *)
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kin_energy : float ; (** Kinetic energy *)
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eN_energy : float ; (** Electron-nucleus potential energy *)
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eN_energy : float ; (** Electron-nucleus potential energy *)
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coulomb_energy : float ; (** Electron-Electron potential energy *)
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coulomb_energy : float ; (** Electron-Electron potential energy *)
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exchange_energy : float ; (** Exchange energy *)
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exchange_energy : float ; (** Exchange energy *)
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iterations : (float * float * float) array;
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nocc : int ; (** Number of occupied MOs *)
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(** Energy, convergence and HOMO-LUMO gap of all iterations *)
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(** Energy, convergence and HOMO-LUMO gap of all iterations *)
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}
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}
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eN_energy = Mat.gemm_trace m_P m_V;
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eN_energy = Mat.gemm_trace m_P m_V;
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coulomb_energy = 0.5 *. Mat.gemm_trace m_P m_J;
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coulomb_energy = 0.5 *. Mat.gemm_trace m_P m_J;
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exchange_energy = 0.5 *. Mat.gemm_trace m_P m_K;
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exchange_energy = 0.5 *. Mat.gemm_trace m_P m_K;
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occupation = Mat.copy_diag m_P;
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})
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})
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in
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in
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@ -265,6 +265,7 @@ let make ?guess:(guess=`Huckel) ?max_scf:(max_scf=64) ?level_shift:(level_shift=
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0.5 *. (Mat.gemm_trace m_P_b m_J_b);
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0.5 *. (Mat.gemm_trace m_P_b m_J_b);
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exchange_energy = 0.5 *. (Mat.gemm_trace m_P_a m_K_a) +.
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exchange_energy = 0.5 *. (Mat.gemm_trace m_P_a m_K_a) +.
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0.5 *. (Mat.gemm_trace m_P_b m_K_b);
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0.5 *. (Mat.gemm_trace m_P_b m_K_b);
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occupation = Mat.copy_diag m_P;
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})
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})
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in
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in
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Reference in New Issue
Block a user