LIBINT 2.7.2
comp_11_tig12_11.h
1/*
2 * Copyright (C) 2004-2021 Edward F. Valeev
3 *
4 * This file is part of Libint.
5 *
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19 */
20
21#ifndef _libint2_src_bin_libint_cr11tig1211_h_
22#define _libint2_src_bin_libint_cr11tig1211_h_
23
24#include <generic_rr.h>
25#include <tig12_11_11.h>
26#include <gaussoper.h>
27
28namespace libint2 {
29
32 template <class BFSet>
33 class CR_11_TiG12_11 : public GenericRecurrenceRelation< CR_11_TiG12_11<BFSet>,
34 BFSet,
35 GenIntegralSet_11_11<BFSet,TiG12,mType> >
36 {
37 public:
43 static const unsigned int max_nchildren = 8;
44
46
48 static bool directional() { return false; }
49
50 private:
51 using ParentType::RecurrenceRelation::expr_;
52 using ParentType::RecurrenceRelation::nflops_;
53 using ParentType::target_;
55 template<class RR, class C> friend class ChildFactory;
56
58 CR_11_TiG12_11(const SafePtr<TargetType>&, unsigned int dir);
59 static std::string descr() { return "CR"; }
60
61 };
62
63 template <class F>
64 CR_11_TiG12_11<F>::CR_11_TiG12_11(const SafePtr<TargetType>& Tint,
65 unsigned int dir) :
66 ParentType(Tint,dir)
67 {
68 if (dir != 0)
69 return;
70 using namespace libint2::algebra;
71 using namespace libint2::prefactor;
72 using namespace libint2::braket;
73 // kinetic energy of which electron?
74 const int i = target_->oper()->descr().K();
75 const R12kG12 G0(R12_k_G12_Descr(0));
76 const R12kG12 G2(R12_k_G12_Descr(2));
77
78 F a(Tint->bra(0,0));
79 F b(Tint->ket(0,0));
80 F c(Tint->bra(1,0));
81 F d(Tint->ket(1,0));
82
83 if (i == 0) {
84 if (b.contracted() || target_->oper()->descr().contracted())
85 return;
86 }
87 if (i == 1) {
88 if (d.contracted() || target_->oper()->descr().contracted())
89 return;
90 }
91
92 // [T1,G12]
93 if (i == 0) {
94 typedef GenIntegralSet_11_11<BasisFunctionType,R12kR12lG12,EmptySet> ChildType;
95 ChildFactory<ThisType,ChildType> factory(this);
96 for(int xyz=0; xyz<3; ++xyz) {
97 R12k_R12l_G12_Descr descr(IntVec3(),unit_intvec3(xyz));
98 factory.wedge(_pbra(a,c) , Nabla1(_pket(b,d),xyz), EmptySet(), R12kR12lG12(descr));
99 }
100 if (is_simple()) expr_ *= Scalar(2.0) * Scalar("gamma");
101 }
102 // [T2,G12]
103 if (i == 1) {
104 typedef GenIntegralSet_11_11<BasisFunctionType,R12kR12lG12,EmptySet> ChildType;
105 ChildFactory<ThisType,ChildType> factory(this);
106 for(int xyz=0; xyz<3; ++xyz) {
107 R12k_R12l_G12_Descr descr(IntVec3(),unit_intvec3(xyz));
108 factory.wedge(_pbra(a,c) , Nabla2(_pket(b,d),xyz), EmptySet(), R12kR12lG12(descr));
109 }
110 if (is_simple()) expr_ *= Scalar(-2.0) * Scalar("gamma");
111 }
112
113 {
114 typedef GenIntegralSet_11_11<BasisFunctionType,R12kG12,mType> ChildType;
115 ChildFactory<ThisType,ChildType> factory(this);
116 auto ab_G0_cd = factory.make_child(a,b,c,d,0u,G0);
117 if (is_simple())
118 expr_ += Scalar(3.0) * Scalar("gamma") * ab_G0_cd;
119
120 auto ab_G2_cd = factory.make_child(a,b,c,d,0u,G2);
121 if (is_simple())
122 expr_ += Scalar(-2.0) * Scalar("gamma") * Scalar("gamma") * ab_G2_cd;
123 }
124
125 }
126
127};
128
129#endif
Set of basis functions.
Definition: bfset.h:42
Compute relation for 2-e integrals of the Ti_G12 operators.
Definition: comp_11_tig12_11.h:36
static bool directional()
This relation is not directional.
Definition: comp_11_tig12_11.h:48
Helps GenericRecurrenceRelation to work around the compiler problem with make_child.
Definition: generic_rr.h:147
Generic integral over a two-body operator with one bfs for each particle in bra and ket.
Definition: integral_11_11.h:33
RRImpl must inherit GenericRecurrenceRelation<RRImpl>
Definition: generic_rr.h:47
bool is_simple() const override
Implementation of RecurrenceRelation::is_simple()
Definition: generic_rr.h:79
static SafePtr< RRImpl > Instance(const SafePtr< TargetType > &Tint, unsigned int dir)
Return an instance if applicable, or a null pointer otherwise.
Definition: generic_rr.h:55
these objects help to construct BraketPairs
Definition: src/bin/libint/braket.h:270
BraketPair< F, PKet > _pket(const F &f1, const F &f2)
Physicists ket.
Definition: src/bin/libint/braket.h:276
BraketPair< F, PBra > _pbra(const F &f1, const F &f2)
Physicists bra.
Definition: src/bin/libint/braket.h:272
Defaults definitions for various parameters assumed by Libint.
Definition: algebra.cc:24
LinearCombination< SafePtr< DGVertex >, BraketPair< F, BKType > > Nabla1(const BraketPair< F, BKType > &bkt, int xyz)
Applies Nabla1 to a physicists' braket.
Definition: gaussoper.h:132
LinearCombination< SafePtr< DGVertex >, BraketPair< F, BKType > > Nabla2(const BraketPair< F, BKType > &bkt, int xyz)
Applies Nabla2 to a physicists' braket.
Definition: gaussoper.h:165
DefaultQuantumNumbers< int, 0 >::Result EmptySet
EmptySet is the type that describes null set of auxiliary indices.
Definition: quanta.h:404