ACE mliap examples and virial support

This commit is contained in:
James Michael Goff
2024-02-14 15:06:01 -07:00
parent 7453697316
commit e5fbd15b9d
19 changed files with 1159 additions and 65 deletions

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elements: [H, N, O]
E0: [0.000000, 0.000000, 0.000000]
deltaSplineBins: 0.001000
embeddings:
0: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
1: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
2: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
bonds:
[0, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.0, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[0, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[0, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[1, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[1, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 4.4, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[1, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[2, 0]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[2, 1]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.7, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
[2, 2]: {nradmax: 2, lmax: 2, nradbasemax: 2, radbasename: ChebExpCos, radparameters: [3.3], radcoefficients: [[[1, 0], [1, 0], [1, 0]], [[0, 1], [0, 1], [0, 1]]], prehc: 0, lambdahc: 3.3, rcut: 5.5, dcut: 0.01, rcut_in: 0.1, dcut_in: 0.01, inner_cutoff_type: distance}
functions:
0:
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
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- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
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- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 1], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 0, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
1:
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 1, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
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- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
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- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
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- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 1, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 1, 2], ns: [1, 1, 1], ls: [1, 2, 1], ms_combs: [-1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, 1, 1, -1, 0, 1, 0, -1], ctildes: [0.10540925533894599, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.21081851067789198, -0.18257418583505536, 0.25819888974716115, -0.18257418583505536, 0.10540925533894599]}
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- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 1, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 1, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
- {mu0: 1, rank: 4, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2, 2], ns: [1, 1, 1, 1], ls: [1, 1, 1, 1], ms_combs: [-1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1], ctildes: [0.0, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, -0.3333333333333333, 0.3333333333333333, -0.3333333333333333, 0.0, 0.0, 0.3333333333333333, -0.3333333333333333, 0.3333333333333333, 0.0, 0.0, 0.0]}
2:
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [1], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [2], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 1], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [2, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 1], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 1], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 1], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [2, 2], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [1, 2], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [1, 2], ns: [2, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [2, 2], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
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- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [2, 2, 2], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
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- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [2, 2, 2], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
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- {mu0: 2, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [1, 2, 2], ns: [1, 1, 1], ls: [2, 1, 1], ms_combs: [-2, 1, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 2, -1, -1], ctildes: [0.25819888974716115, -0.18257418583505536, -0.18257418583505536, 0.10540925533894599, 0.21081851067789198, 0.10540925533894599, -0.18257418583505536, -0.18257418583505536, 0.25819888974716115]}
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View File

@ -160,3 +160,44 @@ in.mliap.so3.nn.Si
------------------
Example of NN model with SO3 descriptors for Si
NOTE: The use of ACE within mliap requires the generalized Glebsch-Gordan
coefficients (a.k.a. coupling coefficients, ccs, etc.) are defined within
a ctilde file. These are used to construct the ACE descriptors for both
linear models and non-linear models within mliap. These define the size
of the ACE basis used as well as hyperparameters for the basis functions
for descriptors in mliap. These files may be generated with various
software for fitting ACE models must follow the format for ACE C-Tilde
potential files in `../PACKAGES/pace/*.ace` or the convenient yaml-based
`.yace` format. For the ACE mliap interface, the coupling coefficient file
should NOT include linear model coefficients. If the linear model coefficients
are included in the coupling coefficient file, mliap will evaluate ACE
contributions to a linear model rather than ACE descriptors.
One convenient feature of mliap/ace, is that it enables the user to
decouple the linear model coefficients and the ace descriptors. Both are
typically included in ACE potentials with C-Tilde format. This is
demonstrated in the first example for ACE: linear model coefficients are
provided separately (in `linear_ACE_coeff.acecoeff`) from coupling
coefficients (in `linear_ACE_ccs.yace`). They are combined in a linear
pytorch model using `convert_mliap_lin_ACE.py`.
in.mliap.pytorch.ace
------------------
Example of linear model with ACE descriptors for Ta
in.mliap.ace.compute
------------------
Example for calculating multi-element ACE descriptors through ML-IAP
in.mliap.pytorch.ace.NN
------------------
Example of NN model with ACE descriptors for Ta
mliap_pytorch_ACE.py
------------------
Example of NN model with ACE descriptors for Ta through mliappy

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@ -0,0 +1,172 @@
latte_cell_0.data (written by ASE)
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94 1 8.9271530099999996 6.72940235 3.7974122399999999
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97 1 2.8894899500000002 6.1560529800000001 4.2980848099999998
98 1 4.3613707699999997 6.4304732400000004 4.3804965400000002
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100 1 4.0861192800000001 10.748523670000001 1.1923347099999999
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106 1 4.9437011999999996 0.74406280999999996 3.514068
107 1 4.1905534900000001 1.7730376000000001 2.7963049400000002
108 3 1.88232618 11.95451227 0.60024434000000004
109 1 2.0464587299999999 11.02454723 0.38329541
110 1 1.1518493700000001 0.17494340999999999 11.99928285
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112 1 3.2125414299999999 10.4553747 5.8894917099999997
113 1 3.4166026899999999 10.821557670000001 7.3296563900000002
114 3 9.7039841399999993 3.95001545 11.894743249999999
115 1 10.461666060000001 3.9163117999999999 11.285435229999999
116 1 10.09834695 4.4026997400000001 0.68193007999999999
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118 1 8.3966650299999994 2.6262214699999999 5.2638164300000003
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123 3 3.9424153099999999 6.9650296699999998 11.60258943
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128 1 2.9314874400000002 8.7809807200000005 4.0425234200000002
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130 1 8.1675884100000005 5.4639182799999997 10.47644287
131 1 6.7135573700000002 5.8393818399999997 10.361099749999999
132 3 9.8029139300000008 7.9578901699999998 10.21404942
133 1 10.38910242 8.3400641400000008 10.87949429
134 1 9.0637612000000001 7.6392374099999998 10.756928869999999
135 3 4.4963435599999997 4.1067935799999997 11.73387805
136 1 4.5473727899999998 4.9577970899999997 11.19223377
137 1 5.3588818399999996 4.1756111699999998 0.20355936999999999
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139 1 8.8715593300000002 7.4776837199999999 2.05040471
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146 1 9.9404883900000005 1.11619136 1.18684594
147 3 1.19704207 9.5859959200000002 6.6190888899999996
148 1 0.25606413 9.6737366500000004 6.8319340899999998
149 1 1.2690051899999999 8.6249354900000004 6.5480112500000001
150 3 0.78256133999999999 2.6040609300000002 11.453408359999999
151 1 0.61502181 3.5607405999999999 11.40300991
152 1 1.55655312 2.5457368800000002 10.866733030000001
153 3 5.8627936099999998 7.1217054800000001 5.89173203
154 1 6.3432410700000004 7.9400136699999999 6.0855840299999997
155 1 5.5077296699999998 6.8468306800000001 6.7436875799999996
156 3 10.887828150000001 9.9637482500000001 0.51092815999999996
157 1 11.78841776 10.322043069999999 0.44704989000000001
158 1 11.02688182 9.2051906700000004 1.0976661299999999
159 3 3.93073389 4.1645674499999998 5.7137877000000001
160 1 4.6884062999999996 3.5788913299999998 5.5644605800000004
161 1 4.2956948500000003 4.7644888099999996 6.3801669700000003

View File

@ -0,0 +1,46 @@
elements: [Ta]
E0: [0.000000]
deltaSplineBins: 0.001000
embeddings:
0: {ndensity: 1, FS_parameters: [1.0, 1.0], npoti: FinnisSinclair, rho_core_cutoff: 100000, drho_core_cutoff: 250}
bonds:
[0, 0]: {nradmax: 8, lmax: 2, nradbasemax: 8, radbasename: ChebExpCos, radparameters: [0.5723], radcoefficients: [[[1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], [[0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0]], [[0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0]], [[0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0]], [[0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0]], [[0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0]], [[0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0]], [[0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1]]], prehc: 0, lambdahc: 0.5723, rcut: 4.842, dcut: 0.01, rcut_in: 0.595, dcut_in: 0.01, inner_cutoff_type: distance}
functions:
0:
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [1], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [2], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [3], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [4], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [5], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [6], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [7], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 1, ndensity: 1, num_ms_combs: 1, mus: [0], ns: [8], ls: [0], ms_combs: [0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [1, 1], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [1, 2], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [1, 3], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [2, 2], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [2, 3], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 1, mus: [0, 0], ns: [3, 3], ls: [0, 0], ms_combs: [0, 0], ctildes: [1.0]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 1], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [1, 3], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 2], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [2, 3], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 3, mus: [0, 0], ns: [3, 3], ls: [1, 1], ms_combs: [-1, 1, 0, 0, 1, -1], ctildes: [0.5773502691896257, -0.5773502691896257, 0.5773502691896257]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 1], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [1, 3], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 2], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [2, 3], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 2, ndensity: 1, num_ms_combs: 5, mus: [0, 0], ns: [3, 3], ls: [2, 2], ms_combs: [-2, 2, -1, 1, 0, 0, 1, -1, 2, -2], ctildes: [0.4472135954999579, -0.4472135954999579, 0.447213595499958, -0.4472135954999579, 0.4472135954999579]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 1, 2], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 2, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [1, 2, 2], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [2, 2, 1], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 9, mus: [0, 0, 0], ns: [2, 2, 2], ls: [1, 1, 2], ms_combs: [-1, -1, 2, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -2], ctildes: [0.19999999999999998, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.16329931618554522, -0.1414213562373095, 0.08164965809277261, -0.1414213562373095, 0.19999999999999998]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 1], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 1, 2], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [1, 2, 2], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
- {mu0: 0, rank: 3, ndensity: 1, num_ms_combs: 19, mus: [0, 0, 0], ns: [2, 2, 2], ls: [2, 2, 2], ms_combs: [-2, 0, 2, -2, 1, 1, -2, 2, 0, -1, -1, 2, -1, 0, 1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, -2, 1, -2, 1, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, -2, 0, 2, -1, -1, 2, 0, -2], ctildes: [0.10690449676496976, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, 0.05345224838248488, -0.10690449676496976, 0.05345224838248488, 0.10690449676496976, -0.1309307341415954, 0.05345224838248488, 0.05345224838248488, -0.1309307341415954, 0.10690449676496976, -0.1309307341415954, 0.10690449676496976]}
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View File

@ -0,0 +1,32 @@
import sys
import numpy as np
import torch
# torch.nn.modules useful for defining a MLIAPPY model.
from lammps.mliap.pytorch import TorchWrapper, IgnoreElems
# Read coefficients
coeffs = np.genfromtxt("linear_ACE_coeff.acecoeff",skip_header=4)
# If using the "linear_ACE_pot.yace" instead of just the clebsch-gordan coefficients in "linear_ACE_ccs.yace",
# uncomment below
#B_coeffs = np.genfromtxt("linear_ACE_coeff.acecoeff",skip_header=4)
#coeffs = np.append(np.zeros(1),np.ones(len(B_coeffs)-1))
# Write coefficients to a pytorch linear model
bias = coeffs[0]
weights = coeffs[1:]
lin = torch.nn.Linear(weights.shape[0],1)
lin.to(torch.float64)
with torch.autograd.no_grad():
lin.weight.set_(torch.from_numpy(weights).unsqueeze(0))
lin.bias.set_(torch.as_tensor(bias,dtype=torch.float64).unsqueeze(0))
# Wrap the pytorch model for usage with mliappy coupling.
model = IgnoreElems(lin) # The linear module does not use the types.
n_descriptors = lin.weight.shape[1]
print ('ndescriptors',n_descriptors)
n_elements = 1
linked_model = TorchWrapper(model,n_descriptors=n_descriptors,n_elements=n_elements)
torch.save(linked_model,"Ta_ACE.mliap.pytorch.model.pt")

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@ -0,0 +1,25 @@
#info all out log
units metal
atom_style atomic
boundary p p p
atom_modify map hash
read_data ace_compute_struct.data
mass 1 1.00
mass 2 14.00
mass 3 15.999
pair_style zero 5.7
pair_coeff * *
compute ace all mliap descriptor ace H_N_O_ccs.yace model linear gradgradflag 1
fix ace all ave/time 1 1 1 c_ace[*] file desc_out.dat mode vector
thermo 1
thermo_style custom &
pe pxy c_ace[1][1] c_ace[1][2]
thermo_modify norm no
run 0
uncompute ace
unfix ace

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@ -0,0 +1,54 @@
# Demonstrate MLIAP/PyTorch interface to linear SNAP potential
# Initialize simulation
variable nsteps index 100
variable nrep equal 4
variable a equal 3.316
units metal
# generate the box and atom positions using a BCC lattice
variable nx equal ${nrep}
variable ny equal ${nrep}
variable nz equal ${nrep}
boundary p p p
lattice bcc $a
region box block 0 ${nx} 0 ${ny} 0 ${nz}
create_box 1 box
create_atoms 1 box
mass 1 180.88
# choose potential
pair_style mliap model mliappy Ta_ACE.mliap.pytorch.model.pt descriptor ace linear_ACE_ccs.yace
pair_coeff * * Ta
# Setup output
compute eatom all pe/atom
compute energy all reduce sum c_eatom
compute satom all stress/atom NULL
compute str all reduce sum c_satom[1] c_satom[2] c_satom[3]
variable press equal (c_str[1]+c_str[2]+c_str[3])/(3*vol)
thermo_style custom step temp epair c_energy etotal press v_press
thermo 10
thermo_modify norm yes
# Set up NVE run
timestep 0.5e-3
neighbor 1.0 bin
neigh_modify once no every 1 delay 0 check yes
# Run MD
velocity all create 300.0 4928459 loop geom
fix 1 all nve
run ${nsteps}

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@ -0,0 +1,60 @@
# Demonstrate MLIAP/PyTorch interface to linear ACE potential
# Initialize simulation
variable nsteps index 100
variable nrep equal 4
variable a equal 3.316
units metal
# generate the box and atom positions using a BCC lattice
variable nx equal ${nrep}
variable ny equal ${nrep}
variable nz equal ${nrep}
boundary p p p
lattice bcc $a
region box block 0 ${nx} 0 ${ny} 0 ${nz}
create_box 1 box
create_atoms 1 box
mass 1 180.88
# choose potential
pair_style mliap model mliappy ACE_NN_Pytorch.pt descriptor ace ccs_single_element.yace
pair_coeff * * Ta
# Setup output
compute eatom all pe/atom
compute energy all reduce sum c_eatom
compute satom all stress/atom NULL
compute str all reduce sum c_satom[1] c_satom[2] c_satom[3]
variable press equal (c_str[1]+c_str[2]+c_str[3])/(3*vol)
thermo_style custom step temp epair c_energy etotal press v_press
thermo 10
thermo_modify norm yes
# Set up NVE run
timestep 0.5e-3
neighbor 1.0 bin
neigh_modify once no every 1 delay 0 check yes
# Run MD
velocity all create 300.0 4928459 loop geom
fix 1 all nve
# Uncomment dumps commands for visualization
#dump 0 all cfg 10 min.*.cfg mass type xs ys zs
#dump_modify 0 element Ta
run ${nsteps}

File diff suppressed because one or more lines are too long

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@ -0,0 +1,148 @@
# FitSNAP generated on 2024-02-14 14:25:57.119062 with Hash: 25830dc0b45aefc59d0d17c55647440f
1 142
Ta
0.0 # B[0]
-22.5771067833568999 # B[1, 0, 0, 1, 0]
-0.0226270954591753157 # B[2, 0, 0, 2, 0]
21.0023473528220208 # B[3, 0, 0, 3, 0]
1.7434645625400198 # B[4, 0, 0, 4, 0]
0.113236864432865389 # B[5, 0, 0, 5, 0]
5.43628451822269376 # B[6, 0, 0, 6, 0]
-2.36555723449260613 # B[7, 0, 0, 7, 0]
0.0 # B[8, 0, 0, 8, 0]
0.0 # B[9, 0, 0, 9, 0]
0.0 # B[10, 0, 0, 10, 0]
0.0 # B[11, 0, 0, 11, 0]
0.0 # B[12, 0, 0, 12, 0]
0.0 # B[13, 0, 0, 13, 0]
0.0 # B[14, 0, 0, 14, 0]
0.0 # B[15, 0, 0, 15, 0]
0.0 # B[16, 0, 0, 16, 0]
0.0 # B[17, 0, 0, 17, 0]
0.0 # B[18, 0, 0, 18, 0]
0.0 # B[19, 0, 0, 19, 0]
0.0 # B[20, 0, 0, 20, 0]
0.0 # B[21, 0, 0, 21, 0]
0.0 # B[22, 0, 0, 22, 0]
10.170453688417453 # B[23, 0, 0, 0, 1, 1, 0, 0]
-1044.76281713462254 # B[24, 0, 0, 0, 1, 2, 0, 0]
572.709651057556016 # B[25, 0, 0, 0, 1, 3, 0, 0]
-207.396680818678306 # B[26, 0, 0, 0, 1, 4, 0, 0]
32.7288559698408079 # B[27, 0, 0, 0, 1, 5, 0, 0]
0.00305266310444371686 # B[28, 0, 0, 0, 2, 2, 0, 0]
400.569893681083443 # B[29, 0, 0, 0, 2, 3, 0, 0]
778.880194276356406 # B[30, 0, 0, 0, 2, 4, 0, 0]
170.855019855882375 # B[31, 0, 0, 0, 2, 5, 0, 0]
-205.570286473228464 # B[32, 0, 0, 0, 3, 3, 0, 0]
-398.963313160853545 # B[33, 0, 0, 0, 3, 4, 0, 0]
-83.81056240085789 # B[34, 0, 0, 0, 3, 5, 0, 0]
180.0562397293142 # B[35, 0, 0, 0, 4, 4, 0, 0]
-20.5002365523065428 # B[36, 0, 0, 0, 4, 5, 0, 0]
0.0 # B[37, 0, 0, 0, 5, 5, 0, 0]
-24.8835644197873833 # B[38, 0, 0, 0, 1, 1, 1, 1]
147.129769901050679 # B[39, 0, 0, 0, 1, 2, 1, 1]
0.0713620917875858463 # B[40, 0, 0, 0, 1, 3, 1, 1]
-17.3833330953580933 # B[41, 0, 0, 0, 1, 4, 1, 1]
37.5505432848029557 # B[42, 0, 0, 0, 1, 5, 1, 1]
0.0191804654757119011 # B[43, 0, 0, 0, 2, 2, 1, 1]
-96.7487163459104664 # B[44, 0, 0, 0, 2, 3, 1, 1]
-0.00658154694809357909 # B[45, 0, 0, 0, 2, 4, 1, 1]
-208.124342352098012 # B[46, 0, 0, 0, 2, 5, 1, 1]
-0.0268971567040146194 # B[47, 0, 0, 0, 3, 3, 1, 1]
8.21287123634444605 # B[48, 0, 0, 0, 3, 4, 1, 1]
71.6589883121345395 # B[49, 0, 0, 0, 3, 5, 1, 1]
17.6098825203311371 # B[50, 0, 0, 0, 4, 4, 1, 1]
-39.1469526467952562 # B[51, 0, 0, 0, 4, 5, 1, 1]
0.0 # B[52, 0, 0, 0, 5, 5, 1, 1]
2.81218558029911136 # B[53, 0, 0, 0, 1, 1, 2, 2]
-80.6108937358992534 # B[54, 0, 0, 0, 1, 2, 2, 2]
25.3006460556791914 # B[55, 0, 0, 0, 1, 3, 2, 2]
-0.116123733569896734 # B[56, 0, 0, 0, 1, 4, 2, 2]
-8.10435957901752779 # B[57, 0, 0, 0, 1, 5, 2, 2]
0.00593831884284745735 # B[58, 0, 0, 0, 2, 2, 2, 2]
0.0206072280264136751 # B[59, 0, 0, 0, 2, 3, 2, 2]
112.907541723710054 # B[60, 0, 0, 0, 2, 4, 2, 2]
-25.3781020910149273 # B[61, 0, 0, 0, 2, 5, 2, 2]
15.4580129414526724 # B[62, 0, 0, 0, 3, 3, 2, 2]
-58.4875833673028822 # B[63, 0, 0, 0, 3, 4, 2, 2]
27.8541236484384527 # B[64, 0, 0, 0, 3, 5, 2, 2]
0.0 # B[65, 0, 0, 0, 4, 4, 2, 2]
0.0 # B[66, 0, 0, 0, 4, 5, 2, 2]
0.0 # B[67, 0, 0, 0, 5, 5, 2, 2]
9.58210832281941371 # B[68, 0, 0, 0, 1, 1, 3, 3]
-33.4771846186537587 # B[69, 0, 0, 0, 1, 2, 3, 3]
-0.147879214073858095 # B[70, 0, 0, 0, 1, 3, 3, 3]
-0.983689688855974187 # B[71, 0, 0, 0, 1, 4, 3, 3]
-11.2679823588990811 # B[72, 0, 0, 0, 1, 5, 3, 3]
189.312912024886742 # B[73, 0, 0, 0, 2, 2, 3, 3]
-0.0774443286916917523 # B[74, 0, 0, 0, 2, 3, 3, 3]
-0.102873783395946994 # B[75, 0, 0, 0, 2, 4, 3, 3]
-0.0756462323598340036 # B[76, 0, 0, 0, 2, 5, 3, 3]
-53.7511259632733953 # B[77, 0, 0, 0, 3, 3, 3, 3]
33.9879339807403227 # B[78, 0, 0, 0, 3, 4, 3, 3]
0.0 # B[79, 0, 0, 0, 3, 5, 3, 3]
-0.00814999871185459988 # B[80, 0, 0, 0, 4, 4, 3, 3]
0.0 # B[81, 0, 0, 0, 4, 5, 3, 3]
3.05035839717992552 # B[82, 0, 0, 0, 5, 5, 3, 3]
1.76189504052993939 # B[83, 0, 0, 0, 1, 1, 4, 4]
-0.0109697500983353419 # B[84, 0, 0, 0, 1, 2, 4, 4]
-5.99440757040523309 # B[85, 0, 0, 0, 1, 3, 4, 4]
0.116301402805795331 # B[86, 0, 0, 0, 1, 4, 4, 4]
0.0 # B[87, 0, 0, 0, 1, 5, 4, 4]
0.0172995235996694294 # B[88, 0, 0, 0, 2, 2, 4, 4]
-0.00135295336403791727 # B[89, 0, 0, 0, 2, 3, 4, 4]
-31.9743471589821553 # B[90, 0, 0, 0, 2, 4, 4, 4]
11.6375525926016525 # B[91, 0, 0, 0, 2, 5, 4, 4]
7.1785297948853044 # B[92, 0, 0, 0, 3, 3, 4, 4]
12.9049178783604273 # B[93, 0, 0, 0, 3, 4, 4, 4]
0.0173960354063151836 # B[94, 0, 0, 0, 3, 5, 4, 4]
-5.44937275307428326 # B[95, 0, 0, 0, 4, 4, 4, 4]
0.0 # B[96, 0, 0, 0, 4, 5, 4, 4]
0.0 # B[97, 0, 0, 0, 5, 5, 4, 4]
0.0 # B[98, 0, 0, 0, 1, 1, 5, 5]
10.7017857691284473 # B[99, 0, 0, 0, 1, 2, 5, 5]
0.0 # B[100, 0, 0, 0, 1, 3, 5, 5]
-2.64659600238826176 # B[101, 0, 0, 0, 1, 4, 5, 5]
0.0 # B[102, 0, 0, 0, 1, 5, 5, 5]
-360.963728954691078 # B[103, 0, 0, 0, 2, 2, 5, 5]
180.302930506343245 # B[104, 0, 0, 0, 2, 3, 5, 5]
-0.0927167842886253007 # B[105, 0, 0, 0, 2, 4, 5, 5]
-54.9792205296734906 # B[106, 0, 0, 0, 2, 5, 5, 5]
0.0622968474897991967 # B[107, 0, 0, 0, 3, 3, 5, 5]
-19.0759694688697401 # B[108, 0, 0, 0, 3, 4, 5, 5]
26.6639152270046758 # B[109, 0, 0, 0, 3, 5, 5, 5]
0.0 # B[110, 0, 0, 0, 4, 4, 5, 5]
-2.17726871628644325 # B[111, 0, 0, 0, 4, 5, 5, 5]
0.0 # B[112, 0, 0, 0, 5, 5, 5, 5]
4.41210696714003525 # B[113, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2]
0.0497159733881680083 # B[114, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2]
3.50516630159326947 # B[115, 0, 0, 0, 0, 1, 1, 3, 1, 1, 2, 2]
14.6179669221722417 # B[116, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2]
755.058663506306175 # B[117, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2]
-240.568322578754731 # B[118, 0, 0, 0, 0, 1, 2, 3, 1, 1, 2, 2]
0.0488714570610267046 # B[119, 0, 0, 0, 0, 1, 3, 1, 1, 1, 2, 2]
-187.841135117587072 # B[120, 0, 0, 0, 0, 1, 3, 2, 1, 1, 2, 2]
32.3758624271038684 # B[121, 0, 0, 0, 0, 1, 3, 3, 1, 1, 2, 2]
118.101507848151186 # B[122, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2]
-0.0136264036603733017 # B[123, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2]
-226.591848522424016 # B[124, 0, 0, 0, 0, 2, 2, 3, 1, 1, 2, 2]
0.0333288835492624586 # B[125, 0, 0, 0, 0, 2, 3, 1, 1, 1, 2, 2]
-0.0087547361274342983 # B[126, 0, 0, 0, 0, 2, 3, 2, 1, 1, 2, 2]
0.0104057653307802946 # B[127, 0, 0, 0, 0, 2, 3, 3, 1, 1, 2, 2]
-25.2394489573255107 # B[128, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 2]
-83.6076290271592057 # B[129, 0, 0, 0, 0, 3, 3, 2, 1, 1, 2, 2]
80.3884647598460305 # B[130, 0, 0, 0, 0, 3, 3, 3, 1, 1, 2, 2]
-0.669731707137959487 # B[131, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2]
0.0358960112501990058 # B[132, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2]
0.613904373803016767 # B[133, 0, 0, 0, 0, 1, 1, 3, 2, 2, 2, 2]
0.00183254800152801494 # B[134, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2]
0.0722024283268215966 # B[135, 0, 0, 0, 0, 1, 2, 3, 2, 2, 2, 2]
0.0 # B[136, 0, 0, 0, 0, 1, 3, 3, 2, 2, 2, 2]
-0.0365564305694157377 # B[137, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2]
0.0114527487193957864 # B[138, 0, 0, 0, 0, 2, 2, 3, 2, 2, 2, 2]
0.0 # B[139, 0, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2]
0.0 # B[140, 0, 0, 0, 0, 3, 3, 3, 2, 2, 2, 2]
0.0 # B[141, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0]
# End of potential

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@ -0,0 +1,97 @@
# Demonstrate how to load a model from the python side.
# This is essentially the same as in.mliap.pytorch.MOF
# except that python is the driving program, and lammps
# is in library mode.
before_loading =\
"""# Demonstrate MLIAP/PyTorch interface to torch model
# Initialize simulation
variable nsteps index 100
variable nrep equal 4
variable a equal 3.316
units metal
# generate the box and atom positions using a BCC lattice
variable nx equal ${nrep}
variable ny equal ${nrep}
variable nz equal ${nrep}
boundary p p p
lattice bcc $a
region box block 0 ${nx} 0 ${ny} 0 ${nz}
create_box 1 box
create_atoms 1 box
mass 1 180.88
# define potential with LATER mliappy
pair_style mliap model mliappy LATER descriptor ace ccs_single_element.yace
pair_coeff * * Ta
"""
after_loading =\
"""
# Setup output
compute eatom all pe/atom
compute energy all reduce sum c_eatom
compute satom all stress/atom NULL
compute str all reduce sum c_satom[1] c_satom[2] c_satom[3]
variable press equal (c_str[1]+c_str[2]+c_str[3])/(3*vol)
thermo_style custom step temp epair c_energy etotal press v_press
thermo 10
thermo_modify norm yes
# Set up NVE run
dump 1 all cfg 10 ats.*.cfg mass type xs ys zs
dump_modify 1 element Ta
timestep 0.5e-3
neighbor 1.0 bin
neigh_modify once no every 1 delay 0 check yes
# Run MD
velocity all create 300.0 4928459 loop geom
fix 1 all nve
run ${nsteps}
"""
import lammps
lmp = lammps.lammps(cmdargs=['-echo','both'])
# Before defining the pair style, one must do the following:
import lammps.mliap
lammps.mliap.activate_mliappy(lmp)
# Otherwise, when running lammps in library mode,
# you will get an error:
# "ERROR: Loading MLIAPPY coupling module failure."
# Setup the simulation and declare an empty model
# by specifying model filename as "LATER"
lmp.commands_string(before_loading)
# Define the model however you like. In this example
# we load it from disk:
import os
import torch
torch_model = 'ACE_NN_Pytorch.pt'
if not os.path.exists(torch_model):
raise FileNotFoundError(f"Generate {torch_model} first")
model = torch.load(torch_model)
# Connect the PyTorch model to the mliap pair style.
lammps.mliap.load_model(model)
# run the simulation with the mliap pair style
lmp.commands_string(after_loading)
lmp.close()
lmp.finalize()

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@ -33,7 +33,7 @@ MLIAPData::MLIAPData(LAMMPS *lmp, int gradgradflag_in, int *map_in, class MLIAPM
gamma(nullptr), gamma_row_index(nullptr), gamma_col_index(nullptr), egradient(nullptr),
numneighs(nullptr), iatoms(nullptr), ielems(nullptr), pair_i(nullptr), jatoms(nullptr),
jelems(nullptr), elems(nullptr), rij(nullptr), graddesc(nullptr), model(nullptr),
descriptor(nullptr), list(nullptr), itypes(nullptr), ix(nullptr), cpy_frstngh(nullptr)
descriptor(nullptr), list(nullptr), itypes(nullptr), lmp_firstneigh(nullptr)
{
gradgradflag = gradgradflag_in;
map = map_in;
@ -85,10 +85,9 @@ MLIAPData::~MLIAPData()
memory->destroy(pair_i);
memory->destroy(ielems);
memory->destroy(itypes);
memory->destroy(ix);
memory->destroy(numneighs);
memory->destroy(jatoms);
memory->destroy(cpy_frstngh);
memory->destroy(lmp_firstneigh);
memory->destroy(jelems);
memory->destroy(elems);
memory->destroy(rij);
@ -186,7 +185,7 @@ void MLIAPData::generate_neighdata(NeighList *list_in, int eflag_in, int vflag_i
int jtype = type[j];
const int jelem = map[jtype];
cpy_frstngh[ii][jj] = firstneigh[i][jj];
lmp_firstneigh[ii][jj] = firstneigh[i][jj];
if (rsq < descriptor->cutsq[ielem][jelem]) {
pair_i[ij] = i;
jatoms[ij] = j;
@ -228,7 +227,6 @@ void MLIAPData::grow_neigharrays()
memory->grow(iatoms, natomneigh, "MLIAPData:iatoms");
memory->grow(ielems, natomneigh, "MLIAPData:ielems");
memory->grow(itypes, natomneigh, "MLIAPData:itypes");
memory->grow(ix, natomneigh, 3, "MLIAPData:ix");
memory->grow(numneighs, natomneigh, "MLIAPData:numneighs");
natomneigh_max = natomneigh;
}
@ -248,9 +246,6 @@ void MLIAPData::grow_neigharrays()
const double xtmp = x[i][0];
const double ytmp = x[i][1];
const double ztmp = x[i][2];
ix[i][0] = x[i][0];
ix[i][1] = x[i][1];
ix[i][2] = x[i][2];
const int itype = type[i];
const int ielem = map[itype];
@ -275,7 +270,7 @@ void MLIAPData::grow_neigharrays()
if (nneigh_max < nneigh) {
memory->grow(pair_i, nneigh, "MLIAPData:pair_i");
memory->grow(jatoms, nneigh, "MLIAPData:jatoms");
memory->grow(cpy_frstngh, natomneigh, nneigh, "MLIAPData:cpy_frstngh");
memory->grow(lmp_firstneigh, natomneigh, nneigh, "MLIAPData:lmp_firstneigh");
memory->grow(jelems, nneigh, "MLIAPData:jelems");
memory->grow(rij, nneigh, 3, "MLIAPData:rij");
if (gradgradflag == 0) memory->grow(graddesc, nneigh, ndescriptors, 3, "MLIAPData:graddesc");
@ -304,13 +299,12 @@ double MLIAPData::memory_usage()
bytes += (double) natomneigh_max * sizeof(int); // iatoms
bytes += (double) natomneigh_max * sizeof(int); // ielems
bytes += (double) natomneigh_max * sizeof(int); // itypes
bytes += (double) natomneigh_max * 3 * sizeof(int);// ix
bytes += (double) natomneigh_max * sizeof(int); // numneighs
bytes += (double) nneigh_max * sizeof(int); // pair_i
bytes += (double) nneigh_max * sizeof(int); // jatoms
bytes += (double) nneigh_max * sizeof(int); // jelems
bytes += (double) nneigh_max * natomneigh_max * sizeof(int);// cpy_frstngh
bytes += (double) nneigh_max * natomneigh_max * sizeof(int);// lmp_firstneigh
bytes += (double) nneigh_max * 3 * sizeof(double); // rij"
if (gradgradflag == 0)

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@ -74,8 +74,7 @@ class MLIAPData : protected Pointers {
int *jatoms; // index of each neighbor
int *jelems; // element of each neighbor
int *elems; // element of each atom in or not in the neighborlist
int **cpy_frstngh; // index of each neighbor for external evaluators
double **ix; // neighbor positions for external evaluators
int **lmp_firstneigh; // copy of list->firstneigh for external evaluators
double **rij; // distance vector of each neighbor
double ***graddesc; // descriptor gradient w.r.t. each neighbor
int eflag; // indicates if energy is needed

View File

@ -61,26 +61,23 @@ MLIAPDescriptorACE::MLIAPDescriptorACE(LAMMPS *_lmp, char *yacefilename) : Point
{
acemlimpl = new ACE_ML_impl;
int ntypes = atom->ntypes;
allocated_elements = 0;
//read in file with CG coefficients or c_tilde coefficients
//auto coeff_file_name = utils::get_potential_file_path(yacefilename);
//char* ctilde_file_name = yacefilename;
//ctilde_file = *ctilde_file_name
//auto ctilde_file = utils::get_potential_file_path(yacefilename);
//acemlimpl -> basis_set = new ACECTildeBasisSet(std::string(1,ctilde_file));
ctilde_file = yacefilename;
delete acemlimpl -> basis_set;
//acemlimpl -> basis_set = new ACECTildeBasisSet(ctilde_file);
//acemlimpl -> basis_set = new ACECTildeBasisSet(&ctilde_file_name);
acemlimpl -> basis_set = new ACECTildeBasisSet("coupling_coefficients.yace");
//ntypes = acemlimpl -> basis_set->nelements;
acemlimpl -> basis_set = new ACECTildeBasisSet(ctilde_file);
nelements = acemlimpl -> basis_set->nelements;
int tot_num = 0;
for (int mu = 0; mu < ntypes; mu++) {
for (int mu = 0; mu < nelements; mu++) {
if ( max_num < acemlimpl -> basis_set->total_basis_size_rank1[mu] + acemlimpl ->basis_set->total_basis_size[mu]) {
max_num = acemlimpl -> basis_set->total_basis_size_rank1[mu] + acemlimpl ->basis_set->total_basis_size[mu];
}
tot_num += acemlimpl -> basis_set->total_basis_size_rank1[mu] + acemlimpl ->basis_set->total_basis_size[mu];
}
ndescriptors = max_num; //n_r1 + n_rp;
ndescriptors = max_num;
nelements = acemlimpl -> basis_set ->nelements;
memory->destroy(cutsq);
@ -93,11 +90,13 @@ MLIAPDescriptorACE::MLIAPDescriptorACE(LAMMPS *_lmp, char *yacefilename) : Point
elements = new char * [nelements];
for (int iielem = 0; iielem < nelements; iielem ++){
elements[iielem] = utils::strdup(acemlimpl->basis_set->elements_name[iielem]);
//char* elemi = const_cast<char*>(acemlimpl->basis_set->elements_name[iielem].data());
//elements[iielem] = elemi;
}
allocated_elements = 1;
}
memory->create(cutsq,ntypes+1,ntypes+1,"mliap/descriptor/ace:cutsq");
memory->create(cutsq,nelements+1,nelements+1,"mliap/descriptor/ace:cutsq");
float icmax = 0.0;
float icuti, icutj;
for (int mui = 0; mui < acemlimpl -> basis_set ->nelements; mui++) {
@ -116,7 +115,7 @@ MLIAPDescriptorACE::MLIAPDescriptorACE(LAMMPS *_lmp, char *yacefilename) : Point
if (cuti > cutmax) cutmax = cuti;
cutsq[mui][mui] = ((2*cuti*cutfac)*(2*cuti*cutfac));
for (int muj = mui + 1; muj < ntypes; muj++) {
for (int muj = mui + 1; muj < nelements; muj++) {
cutj = acemlimpl -> basis_set->radial_functions->cut(mui, muj);
cutsq[mui][muj] = cutsq[muj][mui] = ((2*cuti *cutfac)*(2*cutj*cutfac));
}
@ -134,9 +133,6 @@ void MLIAPDescriptorACE::allocate()
MLIAPDescriptorACE::~MLIAPDescriptorACE()
{
delete acemlimpl;
if (allocated) {
memory->destroy(cutsq);
}
}
/* ----------------------------------------------------------------------
@ -148,7 +144,6 @@ void MLIAPDescriptorACE::compute_descriptors(class MLIAPData *data)
int max_jnum = -1;
int nei = 0;
int jtmp =0;
int ntypes = atom->ntypes;
for (int iitmp = 0; iitmp < data->nlistatoms; iitmp++) {
int itmp = data->iatoms[iitmp];
jtmp = data->numneighs[iitmp];
@ -157,24 +152,20 @@ void MLIAPDescriptorACE::compute_descriptors(class MLIAPData *data)
max_jnum = jtmp;
}
}
delete acemlimpl -> basis_set;
acemlimpl -> basis_set = new ACECTildeBasisSet("coupling_coefficients.yace");
for (int ii = 0; ii < data->nlistatoms; ii++) {
const int i = data->iatoms[ii];
const int ielemx = data->ielems[ii];
const int jnum = data->numneighs[ii];
int elem_offset = ndescriptors * ielemx; //data->ielems[ii];
delete acemlimpl -> ace;
acemlimpl -> ace = new ACECTildeEvaluator(*acemlimpl -> basis_set);
acemlimpl -> ace->compute_projections = 1;
acemlimpl -> ace->compute_b_grad = 1;
acemlimpl -> ace->element_type_mapping.init(ntypes+1);
for (int ik = 1; ik <= ntypes; ik++) {
for(int mu = 0; mu < ntypes; mu++){
acemlimpl -> ace->element_type_mapping.init(nelements+1);
for (int ik = 1; ik <= nelements; ik++) {
for(int mu = 0; mu < nelements; mu++){
if (mu != -1) {
if (mu == ik - 1) {
acemlimpl -> ace->element_type_mapping(ik) = mu;
@ -185,7 +176,7 @@ void MLIAPDescriptorACE::compute_descriptors(class MLIAPData *data)
acemlimpl -> ace->resize_neighbours_cache(jnum);
acemlimpl -> ace->compute_atom(ii, atom->x, atom->type, data->numneighs[ii], data->cpy_frstngh[ii]);
acemlimpl -> ace->compute_atom(i, atom->x, atom->type, data->numneighs[ii], data->lmp_firstneigh[ii]);
for (int icoeff = 0; icoeff < data->ndescriptors; icoeff++){
data->descriptors[ii][icoeff] = acemlimpl -> ace -> projections(icoeff);
}
@ -206,9 +197,7 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
int max_jnum = -1;
int nei = 0;
int jtmp =0;
int ntypes = atom->ntypes;
for (int iitmp = 0; iitmp < data->nlistatoms; iitmp++) {
//int itmp = ilist[iitmp];
int itmp = data->iatoms[iitmp];
jtmp = data->numneighs[iitmp];
nei = nei + jtmp;
@ -221,13 +210,12 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
for (int ii = 0; ii < data->nlistatoms; ii++) {
const int i = data->iatoms[ii];
const int ielem = data->ielems[ii];
int elem_offset = max_num * ielem;
delete acemlimpl -> ace;
acemlimpl -> ace = new ACECTildeEvaluator(*acemlimpl -> basis_set);
acemlimpl -> ace->compute_projections = 1;
acemlimpl -> ace->compute_b_grad = 1;
acemlimpl -> ace->element_type_mapping.init(ntypes+1);
for (int ik = 1; ik <= ntypes; ik++) {
acemlimpl -> ace->element_type_mapping.init(nelements+1);
for (int ik = 1; ik <= nelements; ik++) {
for(int mu = 0; mu < acemlimpl -> basis_set ->nelements; mu++){
if (mu != -1) {
if (mu == ik - 1) {
@ -240,7 +228,7 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
const int jnum = data->numneighs[ii];
acemlimpl -> ace->resize_neighbours_cache(jnum);
acemlimpl -> ace->compute_atom(ii, atom->x, atom->type, data->numneighs[ii], data->cpy_frstngh[ii]);
acemlimpl -> ace->compute_atom(i, atom->x, atom->type, data->numneighs[ii], data->lmp_firstneigh[ii]);
int ij0 = ij;
int ninside = 0;
for (int jj = 0; jj < jnum; jj++) {
@ -249,7 +237,7 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
}
ij = ij0;
const int* const jlist = data->cpy_frstngh[ii];
const int* const jlist = data->lmp_firstneigh[ii];
double **x = atom->x;
const double xtmp = x[i][0];
const double ytmp = x[i][1];
@ -257,11 +245,17 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
for (int jj = 0; jj < jnum; jj++) {
const int j = jlist[jj];
for (int idim = 0; idim < 3; idim++){
fij[idim] = 0.0;
}
for (int iicoeff = 0; iicoeff < ndescriptors; iicoeff++) {
DOUBLE_TYPE fx_dB = acemlimpl -> ace -> neighbours_dB(iicoeff,jj,0)*data->betas[ii][iicoeff];
DOUBLE_TYPE fy_dB = acemlimpl -> ace -> neighbours_dB(iicoeff,jj,1)*data->betas[ii][iicoeff];
DOUBLE_TYPE fz_dB = acemlimpl -> ace -> neighbours_dB(iicoeff,jj,2)*data->betas[ii][iicoeff];
// add force contribution from each descriptor
fij[0]+=fx_dB;
fij[1]+=fy_dB;
fij[2]+=fz_dB;
f[i][0] += fx_dB;
f[i][1] += fy_dB;
f[i][2] += fz_dB;
@ -287,7 +281,6 @@ void MLIAPDescriptorACE::compute_forces(class MLIAPData *data)
void MLIAPDescriptorACE::compute_force_gradients(class MLIAPData *data)
{
int ij = 0;
int ntypes = atom->ntypes;
int max_jnum = -1;
int nei = 0;
@ -308,12 +301,9 @@ void MLIAPDescriptorACE::compute_force_gradients(class MLIAPData *data)
acemlimpl -> ace = new ACECTildeEvaluator(*acemlimpl -> basis_set);
acemlimpl -> ace->compute_projections = 1;
acemlimpl -> ace->compute_b_grad = 1;
int n_r1, n_rp = 0;
n_r1 = acemlimpl -> basis_set->total_basis_size_rank1[0];
n_rp = acemlimpl -> basis_set->total_basis_size[0];
acemlimpl -> ace->element_type_mapping.init(ntypes+1);
for (int ik = 1; ik <= ntypes; ik++) {
acemlimpl -> ace->element_type_mapping.init(nelements+1);
for (int ik = 1; ik <= nelements; ik++) {
for(int mu = 0; mu < acemlimpl -> basis_set ->nelements; mu++){
if (mu != -1) {
if (mu == ik - 1) {
@ -326,12 +316,10 @@ void MLIAPDescriptorACE::compute_force_gradients(class MLIAPData *data)
const int jnum = data->numneighs[ii];
const int* const jlist = data->cpy_frstngh[ii];
const int* const jlist = data->lmp_firstneigh[ii];
acemlimpl -> ace->resize_neighbours_cache(jnum);
acemlimpl -> ace->compute_atom(ii, atom->x, atom->type, data->numneighs[ii], data->cpy_frstngh[ii]);
acemlimpl -> ace->compute_atom(i, atom->x, atom->type, data->numneighs[ii], data->lmp_firstneigh[ii]);
for (int jj = 0; jj < jnum; jj++) {
const int jt = data->jatoms[ij];
const int jtt = data->jatoms[jj];
const int j = jlist[jj];
for (int inz = 0; inz < data->gamma_nnz; inz++) {
const int l = data->gamma_row_index[ii][inz];
@ -362,7 +350,6 @@ void MLIAPDescriptorACE::compute_descriptor_gradients(class MLIAPData *data)
int max_jnum = -1;
int nei = 0;
int jtmp =0;
int ntypes = atom->ntypes;
for (int iitmp = 0; iitmp < data->nlistatoms; iitmp++) {
int itmp = data->iatoms[iitmp];
jtmp = data->numneighs[iitmp];
@ -374,18 +361,13 @@ void MLIAPDescriptorACE::compute_descriptor_gradients(class MLIAPData *data)
for (int ii = 0; ii < data->nlistatoms; ii++) {
const int i = data->iatoms[ii];
const int ielem = data->ielems[ii];
int elem_offset = max_num * ielem;
// ensure rij, inside, wj, and rcutij are of size jnum
delete acemlimpl -> ace;
acemlimpl -> ace = new ACECTildeEvaluator(*acemlimpl -> basis_set);
acemlimpl -> ace->compute_projections = 1;
acemlimpl -> ace->compute_b_grad = 1;
int n_r1, n_rp = 0;
n_r1 = acemlimpl -> basis_set->total_basis_size_rank1[0];
n_rp = acemlimpl -> basis_set->total_basis_size[0];
acemlimpl -> ace->element_type_mapping.init(ntypes+1);
for (int ik = 1; ik <= ntypes; ik++) {
acemlimpl -> ace->element_type_mapping.init(nelements+1);
for (int ik = 1; ik <= nelements; ik++) {
for(int mu = 0; mu < acemlimpl -> basis_set ->nelements; mu++){
if (mu != -1) {
if (mu == ik - 1) {
@ -395,10 +377,10 @@ void MLIAPDescriptorACE::compute_descriptor_gradients(class MLIAPData *data)
}
}
const int* const jlist = data->cpy_frstngh[ii];
const int* const jlist = data->lmp_firstneigh[ii];
const int jnum = data->numneighs[ii];
acemlimpl -> ace->resize_neighbours_cache(jnum);
acemlimpl -> ace->compute_atom(i, atom->x, atom->type, data->numneighs[ii], data->cpy_frstngh[ii]);
acemlimpl -> ace->compute_atom(i, atom->x, atom->type, data->numneighs[ii], data->lmp_firstneigh[ii]);
int ij0 = ij;
int ninside = 0;
for (int jj = 0; jj < jnum; jj++) {

View File

@ -34,7 +34,7 @@ class MLIAPDescriptorACE : public MLIAPDescriptor {
int max_num=0;
//char* ctilde_file_name = nullptr;
//char* ctilde_file ="coupling_coefficients.yace";
//char *const ctilde_file = nullptr;
char* ctilde_file;
protected:
virtual void allocate();