Esempio n. 1
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def cc_Wovvo(t1T, t2T, eris, vlocs=None):
    """
    mb[e]j.
    """
    nvir_seg, nvir, nocc, _ = t2T.shape
    if vlocs is None:
        ntasks = mpi.pool.size
        vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]

    #Wmbej = einsum('efmn, fj -> mnej', eris.xvoo, -t1T)
    #Wmbej = einsum('mnej, bn -> mbej', Wmbej, t1T)

    #Wmbej -= einsum('mbfe, fj -> mbej', eris.ovvx, t1T)
    #Wmbej += einsum('bn, mnje -> mbej', t1T, eris.ooox)

    Wmbej = 0.0

    for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
        Wmbej -= einsum('fbjn, efmn -> mbej', t2T_tmp, eris.xvoo[:, p0:p1])
        t2T_tmp = None
    Wmbej *= 0.5

    #Wmbej -= np.asarray(eris.oxov).transpose(2, 3, 1, 0)
    Wmbej -= np.asarray(eris.xovo).transpose(3, 2, 0, 1)
    return Wmbej
Esempio n. 2
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def cc_Wvvvv(t1T, t2T, eris, tauT=None, vlocs=None):
    """
    Wvvvv intermidiates.
    """
    # ZHC TODO make Wvvvv outcore
    nvir_seg, nvir, nocc, _ = t2T.shape
    if vlocs is None:
        ntasks = mpi.pool.size
        vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]
    vloc0, vloc1 = vlocs[rank]
    if tauT is None:
        tauT = make_tauT(t1T, t2T, vlocs=vlocs)

    Wabef = np.empty((vloc1 - vloc0, nvir, nvir, nvir))
    eris_vvoo = eris.xvoo

    tauT = tauT * 0.25
    for task_id, eri_tmp, p0, p1 in _rotate_vir_block(eris_vvoo, vlocs=vlocs):
        Wabef[:, :, p0:p1] = einsum('abmn, efmn -> abef', tauT, eri_tmp)
        eri_tmp = None
    eris_vvoo = None
    tauT = None

    Wabef += np.asarray(eris.xvvv)
    #tmp = einsum('bm, mafe -> abfe', t1T, eris.oxvv)
    #Wabef += tmp

    #tmpT = mpi.alltoall([tmp[:, p0:p1] for p0, p1 in vlocs],
    #                    split_recvbuf=True)
    #for task_id, (p0, p1) in enumerate(vlocs):
    #    tmp = tmpT[task_id].reshape(p1-p0, nvir_seg, nvir, nvir)
    #    Wabef[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
    #    tmp = None

    return Wabef
Esempio n. 3
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def transform_t2_to_bo(t2, u, vlocs=None):
    """
    transform t2.
    """
    t2T = t2.transpose(2, 3, 0, 1)
    nvir_seg, nvir, nocc = t2T.shape[:3]
    if vlocs is None:
        ntasks = mpi.pool.size
        vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]
    vloc0, vloc1 = vlocs[rank]
    assert vloc1 - vloc0 == nvir_seg
    
    u_oo = u[:nocc, :nocc]
    u_vv = u[nocc:, nocc:] 
            
    t2Tnew = 0.0
    for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
        t2Tnew += np.einsum('aA, abij -> Abij', u_vv[p0:p1, vloc0:vloc1],
                            t2T_tmp, optimize=True)
        t2T_tmp = None
    t2 = t2T = None

    t2Tnew = np.einsum("Abij, bB, iI, jJ -> ABIJ", t2Tnew, u_vv,
                       u_oo, u_oo, optimize=True)
    t2 = t2Tnew.transpose(2, 3, 0, 1)
    return t2
Esempio n. 4
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def cc_Wovvo(t1T, t2T, eris, vlocs=None):
    """
    mb[e]j.
    """
    nvir_seg, nvir, nocc, _ = t2T.shape
    if vlocs is None:
        ntasks = mpi.pool.size
        vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]

    Wmbej = einsum('efmn, fj -> mnej', eris.xvoo, -t1T)
    Wmbej = einsum('mnej, bn -> mbej', Wmbej, t1T)
    
    Wmbej -= einsum('efbm, fj -> mbej', eris.xvvo, t1T)
    Wmbej += einsum('bn, ejnm -> mbej', t1T, eris.xooo)

    for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
        tmp = einsum('fbjn, efmn -> mbej', t2T_tmp, eris.xvoo[:, p0:p1])
        tmp *= (-0.5)
        Wmbej += tmp
        tmp = t2T_tmp = None

    Wmbej -= np.asarray(eris.xovo).transpose(3, 2, 0, 1)
    return Wmbej
Esempio n. 5
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def update_lambda(mycc, t1, t2, l1, l2, eris, imds):
    """
    Update GCCSD lambda.
    """
    time0 = logger.process_clock(), logger.perf_counter()
    log = logger.Logger(mycc.stdout, mycc.verbose)

    t1T = t1.T
    t2T = np.asarray(t2.transpose(2, 3, 0, 1), order='C')
    t1 = t2 = None
    nvir_seg, nvir, nocc = t2T.shape[:3]
    l1T = l1.T
    l2T = np.asarray(l2.transpose(2, 3, 0, 1), order='C')
    l1 = l2 = None

    ntasks = mpi.pool.size
    vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]
    vloc0, vloc1 = vlocs[rank]
    log.debug2('vlocs %s', vlocs)
    assert vloc1 - vloc0 == nvir_seg

    fvo = eris.fock[nocc:, :nocc]
    mo_e_o = eris.mo_energy[:nocc]
    mo_e_v = eris.mo_energy[nocc:] + mycc.level_shift
    v1 = imds.v1 - np.diag(mo_e_v)
    v2 = imds.v2 - np.diag(mo_e_o)

    mba = einsum('cakl, cbkl -> ba', l2T, t2T) * 0.5
    mba = mpi.allreduce_inplace(mba)
    mij = einsum('cdki, cdkj -> ij', l2T, t2T) * 0.5
    mij = mpi.allreduce_inplace(mij)
    # m3 [a]bij
    m3 = einsum('abkl, ijkl -> abij', l2T, np.asarray(imds.woooo))

    tauT = t2T  #+ np.einsum('ai, bj -> abij', t1T[vloc0:vloc1] * 2.0, t1T, optimize=True)
    tmp = einsum('cdij, cdkl -> ijkl', l2T, tauT)
    tmp = mpi.allreduce_inplace(tmp)
    tauT = None

    vvoo = np.asarray(eris.xvoo)
    tmp = einsum('abkl, ijkl -> abij', vvoo, tmp)
    tmp *= 0.25
    m3 += tmp
    tmp = None

    #tmp  = einsum('cdij, dk -> ckij', l2T, t1T)
    #for task_id, tmp, p0, p1 in _rotate_vir_block(tmp, vlocs=vlocs):
    #    m3 -= einsum('kcba, ckij -> abij', eris.ovvx[:, p0:p1], tmp)
    #    tmp = None
    eris_vvvv = eris.xvvv.transpose(2, 3, 0, 1)
    tmp_2 = np.empty_like(l2T)  # used for line 387
    for task_id, l2T_tmp, p0, p1 in _rotate_vir_block(l2T, vlocs=vlocs):
        tmp = einsum('cdij, cdab -> abij', l2T_tmp, eris_vvvv[p0:p1])
        tmp *= 0.5
        m3 += tmp
        tmp_2[:, p0:p1] = einsum('acij, cb -> baij', l2T_tmp, v1[:,
                                                                 vloc0:vloc1])
        tmp = l2T_tmp = None
    eris_vvvv = None

    #l1Tnew = einsum('abij, bj -> ai', m3, t1T)
    #l1Tnew = mpi.allgather(l1Tnew)
    l1Tnew = np.zeros_like(l1T)
    l2Tnew = m3

    l2Tnew += vvoo
    #fvo1 = fvo #+ mpi.allreduce(einsum('cbkj, ck -> bj', vvoo, t1T[vloc0:vloc1]))

    #tmp  = np.einsum('ai, bj -> abij', l1T[vloc0:vloc1], fvo1, optimize=True)
    tmp = 0.0
    wvovo = np.asarray(imds.wovvo).transpose(1, 0, 2, 3)
    for task_id, w_tmp, p0, p1 in _rotate_vir_block(wvovo, vlocs=vlocs):
        tmp -= einsum('acki, cjbk -> abij', l2T[:, p0:p1], w_tmp)
        w_tmp = None
    wvovo = None
    tmp = tmp - tmp.transpose(0, 1, 3, 2)
    l2Tnew += tmp
    tmpT = mpi.alltoall_new([tmp[:, p0:p1] for p0, p1 in vlocs],
                            split_recvbuf=True)
    for task_id, (p0, p1) in enumerate(vlocs):
        tmp = tmpT[task_id].reshape(p1 - p0, nvir_seg, nocc, nocc)
        l2Tnew[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
        tmp = None

    #tmp  = einsum('ak, ijkb -> baij', l1T, eris.ooox)
    #tmp -= tmp_2
    tmp = -tmp_2
    tmp1vv = mba  #+ np.dot(t1T, l1T.T) # ba

    tmp -= einsum('ca, bcij -> baij', tmp1vv, vvoo)
    l2Tnew += tmp
    tmpT = mpi.alltoall_new([tmp[:, p0:p1] for p0, p1 in vlocs],
                            split_recvbuf=True)
    for task_id, (p0, p1) in enumerate(vlocs):
        tmp = tmpT[task_id].reshape(p1 - p0, nvir_seg, nocc, nocc)
        l2Tnew[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
        tmp = None

    #tmp  = einsum('jcab, ci -> baji', eris.ovvx, -l1T)
    tmp = einsum('abki, jk -> abij', l2T, v2)
    tmp1oo = mij  #+ np.dot(l1T.T, t1T) # ik
    tmp -= einsum('ik, abkj -> abij', tmp1oo, vvoo)
    vvoo = None
    l2Tnew += tmp
    l2Tnew -= tmp.transpose(0, 1, 3, 2)
    tmp = None

    #l1Tnew += fvo
    #tmp = einsum('bj, ibja -> ai', -l1T[vloc0:vloc1], eris.oxov)
    #l1Tnew += np.dot(v1.T, l1T)
    #l1Tnew -= np.dot(l1T, v2.T)
    #tmp -= einsum('cakj, icjk -> ai', l2T, imds.wovoo)
    #tmp -= einsum('bcak, bcik -> ai', imds.wvvvo, l2T)
    #tmp += einsum('baji, bj -> ai', l2T, imds.w3[vloc0:vloc1])

    #tmp_2  = t1T[vloc0:vloc1] - np.dot(tmp1vv[vloc0:vloc1], t1T)
    #tmp_2 -= np.dot(t1T[vloc0:vloc1], mij)
    #tmp_2 += einsum('bcjk, ck -> bj', t2T, l1T)

    #tmp += einsum('baji, bj -> ai', vvoo, tmp_2)
    #tmp_2 = None

    #tmp += einsum('icab, bc -> ai', eris.oxvv, tmp1vv[:, vloc0:vloc1])
    #l1Tnew += mpi.allreduce(tmp)
    #l1Tnew -= mpi.allgather(einsum('jika, kj -> ai', eris.ooox, tmp1oo))

    #tmp = fvo - mpi.allreduce(einsum('bakj, bj -> ak', vvoo, t1T[vloc0:vloc1]))
    #vvoo = None
    #l1Tnew -= np.dot(tmp, mij.T)
    #l1Tnew -= np.dot(mba.T, tmp)

    eia = mo_e_o[:, None] - mo_e_v
    #l1Tnew /= eia.T
    for i in range(vloc0, vloc1):
        l2Tnew[i - vloc0] /= lib.direct_sum('i + jb -> bij', eia[:, i], eia)

    time0 = log.timer_debug1('update l1 l2', *time0)
    return l1Tnew.T, l2Tnew.transpose(2, 3, 0, 1)
Esempio n. 6
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def make_intermediates(mycc, t1, t2, eris):
    t1T = t1.T
    t2T = np.asarray(t2.transpose(2, 3, 0, 1), order='C')
    nvir_seg, nvir, nocc = t2T.shape[:3]
    t1 = t2 = None
    ntasks = mpi.pool.size
    vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]
    vloc0, vloc1 = vlocs[rank]
    assert vloc1 - vloc0 == nvir_seg

    class _IMDS:
        pass

    imds = _IMDS()
    imds.ftmp = lib.H5TmpFile()
    dtype = t1T.dtype
    imds.woooo = imds.ftmp.create_dataset('woooo', (nocc, nocc, nocc, nocc),
                                          dtype)
    imds.wovvo = imds.ftmp.create_dataset('wovvo',
                                          (nocc, nvir_seg, nvir, nocc), dtype)
    imds.wovoo = imds.ftmp.create_dataset('wovoo',
                                          (nocc, nvir_seg, nocc, nocc), dtype)
    imds.wvvvo = imds.ftmp.create_dataset('wvvvo',
                                          (nvir_seg, nvir, nvir, nocc), dtype)

    foo = eris.fock[:nocc, :nocc]
    fov = eris.fock[:nocc, nocc:]
    fvo = eris.fock[nocc:, :nocc]
    fvv = eris.fock[nocc:, nocc:]

    #tauT = np.einsum('ai, bj -> abij', t1T[vloc0:vloc1] * 2.0, t1T, optimize=True)
    tauT = t2T

    v1 = np.array(fvv, copy=True)  #- np.dot(t1T, fov)
    #tmp = einsum('jbac, cj -> ba', eris.oxvv, t1T)
    tmp = 0.0
    v4 = 0.0

    eris_voov = eris.xvoo.transpose(0, 2, 3, 1)
    for task_id, eri_tmp, p0, p1 in _rotate_vir_block(eris_voov, vlocs=vlocs):
        tmp += einsum('cjka, bcjk -> ba', eri_tmp, tauT[:, p0:p1])
        v4 += einsum('dljb, cdkl -> jcbk', eri_tmp, t2T[:, p0:p1])
        eri_tmp = None
    eris_voov = None
    tmp *= 0.5
    v1 += mpi.allgather(tmp)

    v2 = np.array(foo, copy=True)  #+ np.dot(fov, t1T)
    #tmp  = einsum('kijb, bk -> ij', eris.ooox, t1T[vloc0:vloc1])
    tmp = einsum('bcik, bcjk -> ij', eris.xvoo, tauT)
    tmp *= 0.5
    v2 += mpi.allreduce_inplace(tmp)

    #v4 -= np.asarray(eris.oxov).transpose(0, 1, 3, 2)
    v4 -= np.asarray(eris.xovo).transpose(1, 0, 2, 3)

    v5 = fvo + mpi.allgather(einsum('kc, bcjk -> bj', fov, t2T))
    #tmp = fvo[vloc0:vloc1] #+ einsum('cdkl, dl -> ck', eris.xvoo, t1T)
    #v5 += mpi.allreduce(np.einsum('ck, bk, cj -> bj', tmp, t1T, t1T[vloc0:vloc1], optimize=True))

    #v5 += mpi.allreduce(einsum('kljc, cbkl -> bj', eris.ooox, t2T)) * 0.5
    v5 += mpi.allreduce_inplace(
        einsum('cjlk, cbkl -> bj', eris.xooo, t2T) * 0.5)
    tmp = 0.0
    # ZHC NOTE FIXME it seems that the tmp does not contribute to rdm
    for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
        #tmp += einsum('kbcd, cdjk -> bj', eris.oxvv[:, :, p0:p1], t2T_tmp)
        tmp -= einsum('bkcd, cdjk -> bj', eris.xovv[:, :, p0:p1], t2T_tmp)
        t2T_tmp = None
    tmp *= 0.5
    tmp = mpi.allgather(tmp)
    v5 -= tmp

    #w3  = np.array(v5[vloc0:vloc1], copy=True) #+ einsum('jcbk, bj -> ck', v4, t1T)
    #w3 += np.dot(v1[vloc0:vloc1], t1T)
    #w3 -= np.dot(t1T[vloc0:vloc1], v2)
    #w3  = mpi.allgather(w3)
    w3 = v5

    woooo = einsum('cdij, cdkl -> ijkl', eris.xvoo, tauT)
    woooo *= 0.25
    #woooo += einsum('jilc, ck -> jilk', eris.ooox, t1T[vloc0:vloc1])
    woooo = mpi.allreduce_inplace(woooo)
    woooo += np.asarray(eris.oooo) * 0.5
    imds.woooo[:] = woooo
    woooo = None

    # ZHC NOTE: wovvo, v4 has shape j[c]bk
    wovvo = v4  #+ einsum('jcbd, dk -> jcbk', eris.oxvv, t1T)

    #tmp = einsum('bdlj, dk -> bklj', eris.xvoo, t1T)
    #for task_id, tmp_2, p0, p1 in _rotate_vir_block(tmp, vlocs=vlocs):
    #    wovvo[:, :, p0:p1] += einsum('bklj, cl -> jcbk', tmp_2, t1T[vloc0:vloc1])
    #    tmp_2 = None
    #tmp = None

    #eris_vooo = eris.ooox.transpose(3, 2, 1, 0)
    #for task_id, eri_tmp, p0, p1 in _rotate_vir_block(eris_vooo, vlocs=vlocs):
    #    wovvo[:, :, p0:p1] -= einsum('bkjl, cl -> jcbk', eri_tmp, t1T[vloc0:vloc1])
    #    eri_tmp = None
    #eris_vooo = None
    imds.wovvo[:] = wovvo
    wovvo = None

    wovoo = 0.0
    for task_id, tauT_tmp, p0, p1 in _rotate_vir_block(tauT, vlocs=vlocs):
        #wovoo += einsum('icdb, dbjk -> icjk', eris.oxvv[:, :, p0:p1], tauT_tmp)
        wovoo -= einsum('cidb, dbjk -> icjk', eris.xovv[:, :, p0:p1], tauT_tmp)
        tauT_tmp = None
    wovoo *= 0.25

    #wovoo += np.asarray(eris.ooox.transpose(2, 3, 0, 1)) * 0.5
    wovoo += np.asarray(eris.xooo.transpose(1, 0, 2, 3)) * (-0.5)
    #wovoo += einsum('icbk, bj -> icjk', v4, t1T)

    tauT = tauT * 0.25
    #eris_vooo = eris.ooox.transpose(3, 0, 1, 2)
    eris_vooo = eris.xooo.transpose(0, 3, 2, 1)
    for task_id, eri_tmp, p0, p1 in _rotate_vir_block(eris_vooo, vlocs=vlocs):
        wovoo -= einsum('blij, cbkl -> icjk', eri_tmp, t2T[:, p0:p1])
        imds.wvvvo[:, :, p0:p1] = einsum('bcjl, ajlk -> bcak', tauT, eri_tmp)
        eri_tmp = None
    eris_vooo = None
    imds.wovoo[:] = wovoo
    wovoo = None
    tauT = None

    #v4 = v4.transpose(1, 0, 2, 3)
    #for task_id, v4_tmp, p0, p1 in _rotate_vir_block(v4, vlocs=vlocs):
    #    imds.wvvvo[:, p0:p1] += einsum('bj, cjak -> bcak', t1T[vloc0:vloc1], v4_tmp)
    #    v4_tmp = None
    #v4 = None

    #wvvvo = np.asarray(eris.ovvx).conj().transpose(3, 2, 1, 0) * 0.5
    wvvvo = np.asarray(eris.xvvo) * 0.5
    #eris_ovvv = eris.oxvv
    #for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
    #    wvvvo[:, p0:p1] -= einsum('kbad, cdjk -> bcaj', eris_ovvv, t2T_tmp)
    #    t2T_tmp = None
    eris_vovv = eris.xovv
    for task_id, t2T_tmp, p0, p1 in _rotate_vir_block(t2T, vlocs=vlocs):
        wvvvo[:, p0:p1] -= einsum('bkda, cdjk -> bcaj', eris_vovv, t2T_tmp)
        t2T_tmp = None

    imds.wvvvo -= wvvvo
    wvvvo = None

    imds.v1 = v1
    imds.v2 = v2
    imds.w3 = w3
    imds.ftmp.flush()
    return imds
Esempio n. 7
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def update_amps(mycc, t1, t2, eris):
    """
    Update GCCD amplitudes.
    """
    time0 = logger.process_clock(), logger.perf_counter()
    log = logger.Logger(mycc.stdout, mycc.verbose)

    t1T = t1.T
    t2T = np.asarray(t2.transpose(2, 3, 0, 1), order='C')
    nvir_seg, nvir, nocc = t2T.shape[:3]
    t2 = None
    ntasks = mpi.pool.size
    vlocs = [_task_location(nvir, task_id) for task_id in range(ntasks)]
    vloc0, vloc1 = vlocs[rank]
    log.debug2('vlocs %s', vlocs)
    assert vloc1 - vloc0 == nvir_seg

    fock = eris.fock
    fvo = fock[nocc:, :nocc]
    mo_e_o = eris.mo_energy[:nocc]
    mo_e_v = eris.mo_energy[nocc:] + mycc.level_shift

    tauT_tilde = make_tauT(t1T, t2T, fac=0.5, vlocs=vlocs)
    Fvv = cc_Fvv(t1T, t2T, eris, tauT_tilde=tauT_tilde, vlocs=vlocs)
    Foo = cc_Foo(t1T, t2T, eris, tauT_tilde=tauT_tilde, vlocs=vlocs)
    tauT_tilde = None
    Fov = cc_Fov(t1T, eris, vlocs=vlocs)

    # Move energy terms to the other side
    Fvv[np.diag_indices(nvir)] -= mo_e_v
    Foo[np.diag_indices(nocc)] -= mo_e_o

    # T1 equation
    t1Tnew = np.zeros_like(t1T)
    #t1Tnew  = np.dot(Fvv, t1T)
    #t1Tnew -= np.dot(t1T, Foo)

    tmp = einsum('aeim, me -> ai', t2T, Fov)
    #tmp -= np.einsum('fn, naif -> ai', t1T, eris.oxov, optimize=True)
    tmp = mpi.allgather(tmp)

    #tmp2  = einsum('eamn, mnie -> ai', t2T, eris.ooox)
    tmp2 = einsum('eamn, einm -> ai', t2T, eris.xooo)
    #tmp2 += einsum('efim, mafe -> ai', t2T, eris.ovvx)
    tmp2 += einsum('efim, efam -> ai', t2T, eris.xvvo)
    tmp2 *= 0.5
    tmp2 = mpi.allreduce_inplace(tmp2)
    tmp += tmp2
    tmp2 = None

    #t1Tnew += tmp
    #t1Tnew += fvo

    # T2 equation
    Ftmp = Fvv  #- 0.5 * np.dot(t1T, Fov)
    t2Tnew = einsum('aeij, be -> abij', t2T, Ftmp)
    t2T_tmp = mpi.alltoall_new([t2Tnew[:, p0:p1] for p0, p1 in vlocs],
                               split_recvbuf=True)
    for task_id, (p0, p1) in enumerate(vlocs):
        tmp = t2T_tmp[task_id].reshape(p1 - p0, nvir_seg, nocc, nocc)
        t2Tnew[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
        tmp = None
    t2T_tmp = None

    Ftmp = Foo  #+ 0.5 * np.dot(Fov, t1T)
    tmp = einsum('abim, mj -> abij', t2T, Ftmp)
    t2Tnew -= tmp
    t2Tnew += tmp.transpose(0, 1, 3, 2)
    tmp = None

    t2Tnew += np.asarray(eris.xvoo)
    tauT = make_tauT(t1T, t2T, vlocs=vlocs)
    Woooo = cc_Woooo(t1T, t2T, eris, tauT=tauT, vlocs=vlocs)
    Woooo *= 0.5
    t2Tnew += einsum('abmn, mnij -> abij', tauT, Woooo)
    Woooo = None

    Wvvvv = cc_Wvvvv(t1T, t2T, eris, tauT=tauT, vlocs=vlocs)
    for task_id, tauT_tmp, p0, p1 in _rotate_vir_block(tauT, vlocs=vlocs):
        tmp = einsum('abef, efij -> abij', Wvvvv[:, :, p0:p1], tauT_tmp)
        tmp *= 0.5
        t2Tnew += tmp
        tmp = tauT_tmp = None
    Wvvvv = None
    tauT = None

    #tmp = einsum('mbje, ei -> bmij', eris.oxov, t1T) # [b]mij
    #tmp = mpi.allgather(tmp) # bmij
    #tmp = einsum('am, bmij -> abij', t1T[vloc0:vloc1], tmp) # [a]bij
    tmp = 0.0

    Wvovo = cc_Wovvo(t1T, t2T, eris, vlocs=vlocs).transpose(2, 0, 1, 3)
    for task_id, w_tmp, p0, p1 in _rotate_vir_block(Wvovo, vlocs=vlocs):
        tmp += einsum('aeim, embj -> abij', t2T[:, p0:p1], w_tmp)
        w_tmp = None
    Wvovo = None

    tmp = tmp - tmp.transpose(0, 1, 3, 2)
    t2Tnew += tmp
    tmpT = mpi.alltoall_new([tmp[:, p0:p1] for p0, p1 in vlocs],
                            split_recvbuf=True)
    for task_id, (p0, p1) in enumerate(vlocs):
        tmp = tmpT[task_id].reshape(p1 - p0, nvir_seg, nocc, nocc)
        t2Tnew[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
        tmp = None
    tmpT = None

    #tmp = einsum('ei, jeba -> abij', t1T, eris.ovvx)
    #t2Tnew += tmp
    #t2Tnew -= tmp.transpose(0, 1, 3, 2)

    #tmp = einsum('am, ijmb -> baij', t1T, eris.ooox.conj())
    #t2Tnew += tmp
    #tmpT = mpi.alltoall([tmp[:, p0:p1] for p0, p1 in vlocs],
    #                    split_recvbuf=True)
    #for task_id, (p0, p1) in enumerate(vlocs):
    #    tmp = tmpT[task_id].reshape(p1-p0, nvir_seg, nocc, nocc)
    #    t2Tnew[:, p0:p1] -= tmp.transpose(1, 0, 2, 3)
    #    tmp = None
    #tmpT = None

    eia = mo_e_o[:, None] - mo_e_v
    #t1Tnew /= eia.T
    for i in range(vloc0, vloc1):
        t2Tnew[i - vloc0] /= lib.direct_sum('i + jb -> bij', eia[:, i], eia)

    time0 = log.timer_debug1('update t1 t2', *time0)
    return t1Tnew.T, t2Tnew.transpose(2, 3, 0, 1)