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# general contracted DZ basis [3s1p/2s1p] for H₂ | ||
# exponents contract-coeff | ||
# S 6.0 0.7 0.4 | ||
# 2.0 0.6 0.3 | ||
# 0.8 0.5 0.2 | ||
# P 0.9 1. | ||
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function gto_norm(n, a) | ||
# normalization factor of function rⁿ exp(-ar²) | ||
s = 2^(2n+3) * factorial(n+1) * (2a)^(n+1.5) / (factorial(2n+2) * √π) | ||
sqrt(s) | ||
end | ||
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CHARGE_OF = 1 | ||
PTR_COORD = 2 | ||
NUC_MOD_OF = 3 | ||
PTR_ZETA = 4 | ||
ATM_SLOTS = 6 | ||
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ATOM_OF = 1 | ||
ANG_OF = 2 | ||
NPRIM_OF = 3 | ||
NCTR_OF = 4 | ||
KAPPA_OF = 5 | ||
PTR_EXP = 6 | ||
PTR_COEFF = 7 | ||
BAS_SLOTS = 8 | ||
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ptr_env = 20 | ||
env = fill(0.0, ptr_env) | ||
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i = 0 | ||
# CHARGE_OF,PTR_COORD | ||
atm = Int32[1 ptr_env 0 0 0 0] | ||
ptr_env += 3 | ||
atm = vcat(atm, Int32[1 ptr_env 0 0 0 0]) | ||
# x y z (Bohr) | ||
append!(env, [0, 0, -0.8]) | ||
append!(env, [0, 0, 0.8]) | ||
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# basis for atom #0 | ||
# 3s -> 2s | ||
append!(env, [6., 2., .8]) | ||
append!(env, [.7, .6, .5, .4, .3, .2]) | ||
# ATOM_OF, ANG_OF, NPRIM_OF, NCTR_OF, KAPPA_OF, PTR_EXP, PTR_COEFF | ||
bas = Int32[0 0 3 2 0 ptr_env ptr_env+3 0] | ||
ptr_env += 9 | ||
bas = vcat(bas, Int32[0 1 1 1 0 ptr_env ptr_env+1 0]) | ||
append!(env, [.9]) | ||
append!(env, [1.]) | ||
ptr_env += 1 | ||
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# basis functions for atom #1, they are the same to thoes of atom #0 | ||
bas = vcat(bas, bas) | ||
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shls = Int32[0, 1] | ||
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natm = length(atm) | ||
nbas = length(bas) | ||
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@info "Input" atm bas #env | ||
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bas = permutedims(bas, (2,1)) # Column (Julia) -> Row (C) order | ||
atm = permutedims(atm, (2,1)) # Column (Julia) -> Row (C) order | ||
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# Libcint API | ||
const LIBCINT = joinpath(@__DIR__, "path/to/libcint.so/dylib/dll") | ||
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function CINTcgtos_spheric(bas_id, bas) | ||
@static if VERSION >= v"1.5.0" # clearer syntax | ||
@ccall LIBCINT.CINTcgtos_spheric(bas_id::Cint, bas::Ptr{Cint})::Cint | ||
else # works anyway | ||
ccall( (:CINTcgtos_spheric, LIBCINT), Cint, (Cint, Ptr{Cint},), bas_id, bas) | ||
end | ||
end | ||
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function cint1e_ipnuc_sph(buf, shls, atm, natm, bas, nbas, env) | ||
@static if VERSION >= v"1.5.0" # clearer syntax | ||
@ccall LIBCINT.cint1e_ipnuc_sph( | ||
buf :: Ptr{Cdouble}, | ||
shls :: Ptr{Cint}, | ||
atm :: Ptr{Cint}, | ||
natm :: Cint, | ||
bas :: Ptr{Cint}, | ||
nbas :: Cint, | ||
env :: Ptr{Cdouble} | ||
)::Cvoid | ||
else # works anyway | ||
ccall( (:cint1e_ipnuc_sph, LIBCINT), Cvoid, ( | ||
Ptr{Cdouble}, | ||
Ptr{Cint}, | ||
Ptr{Cint}, | ||
Cint, | ||
Ptr{Cint}, | ||
Cint, | ||
Ptr{Cdouble}, ), | ||
buf , | ||
shls , | ||
atm , | ||
natm , | ||
bas , | ||
nbas , | ||
env , | ||
) | ||
end | ||
end | ||
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di = CINTcgtos_spheric(0, bas) # C uses 0-indexing! | ||
dj = CINTcgtos_spheric(1, bas) # C uses 0-indexing! | ||
@assert di == (2bas[ANG_OF,1]+1) * bas[NCTR_OF,1] | ||
@assert dj == (2bas[ANG_OF,2]+1) * bas[NCTR_OF,2] | ||
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buf = zeros(3, dj, di) # Column (Julia) -> Row (C) order | ||
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cint1e_ipnuc_sph(buf, shls, atm, natm, bas, nbas, env) | ||
@info "∇⟨i|nuc|j⟩ = " permutedims(buf, (3,2,1)) |