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Crate libcint

Crate libcint 

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This project contains libcint (C language) FFI bindings, wrapper and build-from-source.

  • CInt basic struct for defining molecule for electron integral.
  • CInt::integrate: integrate function (partly PySCF’s mol.intor counterpart, column-major which is the same to convention of libcint C library, and the same memory layout to PySCF’s 2/3-center integrals).
  • CInt::eval_gto: evaluate GTO values on grids, useful for DFT computation (PySCF’s mol.eval_ao or mol.eval_gto counterpart, with same memory layout to PySCF, but note the returned shape is in column-major).
  • CInt::integrate_row_major: integrate function with row-major output (the same shape convention to PySCF, and same memory layout to PySCF 4-center integrals).
  • CInt::integrate_cross: integrate function with multiple CInts, useful for integral with auxiliary basis sets.
  • CInt::integrate_with_args, CInt::integrate_args_builder: integrate function with arguments builder (advanced options).
  • CIntMol (feature bse): molecule builder from TOML/JSON, a weaker version of PySCF’s Mole class (handling only atom coordinates and basis sets).
  • cint_wrapper and cecp_wrapper: supported integrators.

§Introduction

libcint is a C library for GTO (gaussian-type orbital) electronic integral, can be applied in computational chemistry, and has already been applied extensively in PySCF.

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CrateCrate
API DocumentAPI Documentation
FFI Binding (libcint)v6.1.2
FFI Binding (qcint)v6.1.2
ECP Source Code (PySCF)v2.9.0

This crate is not official bindgen project, neither libcint, PySCF, nor REST. It is originally intended to be some pioneer work for possible future development of rest_libcint wrapper.

§Minimal Example

The most important function is CInt::integrate. It is somehow similar to PySCF’s mol.intor(intor, aosym, shls_slice).

use libcint::prelude::*;

// This is for testing and development purpose only.
// For actual usage, you should initialize `CInt` with your own molecule data.
let cint_data: CInt = init_h2o_def2_tzvp();

// int1e_ipkin: the integral of kinetic energy operator with derivative on the first orbital

// [mu, nu, comp], column-major, same data memory layout to PySCF's 2/3-center intor
let (out, shape): (Vec<f64>, Vec<usize>) = cint_data.integrate("int1e_ipkin", None, None).into();
assert_eq!(shape, [43, 43, 3]);

// [comp, mu, nu], row-major, same shape to PySCF intor
let (out, shape): (Vec<f64>, Vec<usize>) = cint_data.integrate_row_major("int1e_ipkin", None, None).into();
assert_eq!(shape, [3, 43, 43]);

§Building Molecule from TOML/JSON (feature bse)

With the bse feature, you can build a CIntMol object from TOML/JSON:

use libcint::prelude::*;

let toml = r#"
atom = "O 0 0 0; H 0 0 0.9572; H 0 0.9266 -0.239987"
basis = "STO-3G"
"#;

let mol = CIntMol::from_toml(toml).unwrap();
let ovlp = mol.cint.integrate("int1e_ovlp", None, None).out.unwrap();

See parse::mole::CIntMol and parse::serde_build for details. Full TOML specification is documented in libcint/src/parse/from_toml_docs.md.

§For users from PySCF

This library corresponds to some parts of pyscf.gto module in PySCF.

Similar parts are:

  • CInt::integrate corresponds to mol.intor(intor, aosym, shls_slice);
  • Various get/set/with-clauses methods;
  • CInt corresponds to (mol._atm, mol._bas, mol._env) in PySCF (adding mol._ecpbas for ECP).
  • CIntMol (feature bse) corresponds to PySCF’s Mole class for molecule input parsing (atom coordinates, basis sets, ECP).

Differences are:

  • CInt only handles C-FFI data (_atm, _bas, _env, _ecpbas), similar to PySCF’s internal arrays.
  • CIntMol provides molecule input parsing (atom coordinates, basis/ECP from BSE, unit conversion, ghost atoms), comparable to PySCF’s Mole.build() flow.

§Installation and Cargo Features

If you have already compiled libcint.so, then put path of this shared library in CINT_DIR or LD_LIBRARY_PATH (or REST_EXT_DIR). Then you just use this library in your Cargo.toml file by

[dependencies]
libcint = { version = "0.1" }

§Install and also build-from-source

If you have not compiled libcint.so or libcint.a, then you are suggested to use this library by specifying some cargo features:

[dependencies]
libcint = { version = "0.1", features = ["build_from_source", "static"] }

The source code will be automatically downloaded from github, and cargo will handle the building process.

If access to github is not available, you can use environment variable CINT_SRC to specify source mirror of sunqm/libcint or sunqm/qcint.

§Cargo features

  • Default features: bse (molecule builder from TOML/JSON with Basis Set Exchange support).
  • bse: Enable CIntMol::from_toml and CIntMol::from_json for building molecules from text input. Requires bse crate for basis set data.
  • build_from_source: Trigger of C language library libcint building. This performs by CMake; source code will be automatically downloaded from github (if environment variable CINT_SRC not specified).
  • static: Use static library for linking. This will require static link libcint.a, and dynamic link libquadmath.so.
  • qcint: Use sunqm/qcint instead of sunqm/libcint. Some integrals will not be available if qcint does not supports that. This will also change URL source if cargo feature build_from_source specified.
  • with_f12: Whether F12 integrals (int2e_stg, int2e_yp, etc.) are supported.
  • with_4c1e: Whether 4c1e integrals (int4c1e, etc.) are supported.

§Shell environment variables

  • CINT_DIR, LD_LIBRARY_PATH, REST_EXT_DIR: Your compiled library path of libcint.so and libcint.a. This crate will try to find if this library is in directory root, or directory_root/lib. May override the library built by cargo feature build_from_source.
  • CINT_SRC: Source of libcint or qcint (must be a git repository). Only works with cargo feature build_from_source.
  • CINT_VIR: Version of libcint or qcint (e.g. v6.1.2, must starts with v prefix). Only works with cargo feature build_from_source.

§50 lines RHF with Rust

This is an example code to compute the RHF energy of H2O molecule using

  • libcint as electronic integral library (corresponding to some parts of pyscf.gto);
  • rstsr as tensor library (corresponding to NumPy and SciPy).

You will see that except for import and preparation, the code with core algorithms is 27 lines (blank and printing lines included). For comparison, the same code in Python is 23 lines.

//! H2O RHF calculation example using libcint.
//!
//! This example demonstrates a simple RHF calculation on H2O/def2-TZVP.

use libcint::prelude::*;
use rstsr::prelude::*;

pub type Tsr = Tensor<f64, DeviceCpu>;
pub type TsrView<'a> = TensorView<'a, f64, DeviceCpu>;

/// Obtain integrals (in row-major, same to PySCF but reverse of libcint)
pub fn intor_row_major(cint: &CInt, intor: &str) -> Tsr {
    // use up all rayon available threads for tensor operations
    let device = DeviceCpu::default();
    // intor, "s1", full_shls_slice
    let (out, shape) = cint.integrate_row_major(intor, None, None).into();
    // row-major by transposition of col-major shape
    rt::asarray((out, shape.c(), &device))
}

// This attribute line is for CI to only run this example when "bse" feature is
// enabled. API User is not supposed to add this line.
#[cfg(feature = "bse")]
fn main() {
    let device = DeviceCpu::default();
    // Assuming H2O/def2-TZVP data for `CInt` has been prepared

    let mol_input = r#"
        atom = "O; H 1 0.94; H 1 0.94 2 104.5"
        basis = "def2-TZVP"
    "#;
    let cint_mol = CIntMol::from_toml(mol_input);
    let cint = cint_mol.cint;

    /* #region rhf total energy algorithms */
    let atom_coords = {
        let coords = cint.atom_coords();
        let coords = coords.into_iter().flatten().collect::<Vec<f64>>();
        rt::asarray((coords, &device)).into_shape((-1, 3))
    };
    let atom_charges = rt::asarray((cint.atom_charges(), &device));
    let mut dist = rt::sci::cdist((atom_coords.view(), atom_coords.view()));
    dist.diagonal_mut(None).fill(f64::INFINITY);
    let eng_nuc = 0.5 * (&atom_charges * atom_charges.i((.., None)) / dist).sum();
    println!("Nuclear repulsion energy: {eng_nuc}");

    let hcore = intor_row_major(&cint, "int1e_kin") + intor_row_major(&cint, "int1e_nuc");
    let ovlp = intor_row_major(&cint, "int1e_ovlp");
    let int2e = intor_row_major(&cint, "int2e");
    let nocc = 5; // hardcoded for H2O, 5 occupied orbitals

    let mut dm = ovlp.zeros_like();
    for _idx_iter in 0..40 {
        // hardcoded SCF iterations
        let fock = &hcore + ((1.0_f64 * &int2e - 0.5_f64 * int2e.swapaxes(1, 2)) * &dm).sum_axes([-1, -2]);
        let (_mo_energy, mo_coeff) = rt::linalg::eigh((&fock, &ovlp)).into();
        dm = 2.0_f64 * mo_coeff.i((.., ..nocc)) % mo_coeff.i((.., ..nocc)).t();
    }
    let eng_scratch = &hcore + ((0.5_f64 * &int2e - 0.25_f64 * int2e.swapaxes(1, 2)) * &dm).sum_axes([-1, -2]);
    let eng_elec = (dm * &eng_scratch).sum();
    println!("Total elec energy: {eng_elec}");
    println!("Total RHF energy: {}", eng_nuc + eng_elec);
    /* #endregion */
    assert!((eng_nuc + eng_elec - -76.05945519696209).abs() < 1e-8)
}

// ignore the following lines
#[cfg(not(feature = "bse"))]
fn main() {
    println!("This example requires the 'bse' feature to be enabled.");
}

Modules§

cint
Main CInt with related struct definition, and impl of CInt::integrate.
cint_change
Getter/setter and with-clause temporary changes to CInt instance.
cint_crafter
Integral crafter for CInt instance (the main integral functions).
cint_fill_col_major
Implementation of integral at lower API level (crafting, col-major).
cint_fill_grids
Implementation of grids implementation at lower API level.
cint_fill_row_major
Implementation of integral at lower API level (crafting, row-major).
cint_initialize
Initializers for the CINT library.
cint_prop
Properties of the CInt instance (compute and memory cost is not essential in this module).
cint_result
ffi
FFI binding and basic wrapper.
gto
GTO (gaussian-type atomic orbitals) values on coordinate grids.
parse
Generation of molecule object from input coordinates and basis sets.
prelude
Use libcint::prelude::* to import this crate.
test_mol
Data and functions only for doc and unit testing.
util
Utility functions and structs (not for users).

Macros§

cint_error
cint_raise
cint_trace
impl_integrator