def test_rdm_2e(self):
norb, nelec = 10, 1
strs = cistring.make_strings(range(norb), nelec)
numpy.random.seed(11)
mask = numpy.random.random(len(strs)) > .6
strsa = strs[mask]
mask = numpy.random.random(len(strs)) > .7
strsb = strs[mask]
ci_strs = (strsa, strsb)
ci_coeff = selected_ci._as_SCIvector(numpy.random.random((len(strsa),len(strsb))), ci_strs)
ci0 = selected_ci.to_fci(ci_coeff, norb, (nelec,nelec))
dm1ref, dm2ref = direct_spin1.make_rdm12s(ci0, norb, (nelec,nelec))
dm1 = selected_ci.make_rdm1s(ci_coeff, norb, (nelec,nelec))
self.assertAlmostEqual(abs(dm1[0]-dm1ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm1[1]-dm1ref[1]).sum(), 0, 9)
dm2 = selected_ci.make_rdm2s(ci_coeff, norb, (nelec,nelec))
self.assertAlmostEqual(abs(dm2[0]-dm2ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm2[1]-dm2ref[1]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm2[2]-dm2ref[2]).sum(), 0, 9)
ci1_coeff = selected_ci._as_SCIvector(numpy.random.random((len(strsa),len(strsb))), ci_strs)
ci1 = selected_ci.to_fci(ci1_coeff, norb, (nelec,nelec))
dm1ref, dm2ref = direct_spin1.trans_rdm12s(ci1, ci0, norb, (nelec,nelec))
dm1 = selected_ci.trans_rdm1s(ci1_coeff, ci_coeff, norb, (nelec,nelec))
self.assertAlmostEqual(abs(dm1[0]-dm1ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm1[1]-dm1ref[1]).sum(), 0, 9)
def test_rdm(self):
norb, nelec = 10, 4
strs = cistring.gen_strings4orblist(range(norb), nelec)
numpy.random.seed(11)
mask = numpy.random.random(len(strs)) > .6
strsa = strs[mask]
mask = numpy.random.random(len(strs)) > .7
strsb = strs[mask]
ci_strs = (strsa, strsb)
ci_coeff = selected_ci._as_SCIvector(
numpy.random.random((len(strsa), len(strsb))), ci_strs)
ci0 = selected_ci.to_fci(ci_coeff, norb, (nelec, nelec))
dm1ref, dm2ref = direct_spin1.make_rdm12s(ci0, norb, (nelec, nelec))
dm1 = selected_ci.make_rdm1s(ci_coeff, norb, (nelec, nelec))
self.assertAlmostEqual(abs(dm1[0] - dm1ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm1[1] - dm1ref[1]).sum(), 0, 9)
dm2 = selected_ci.make_rdm2s(ci_coeff, norb, (nelec, nelec))
self.assertAlmostEqual(abs(dm2[0] - dm2ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm2[1] - dm2ref[1]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm2[2] - dm2ref[2]).sum(), 0, 9)
ci1_coeff = selected_ci._as_SCIvector(
numpy.random.random((len(strsa), len(strsb))), ci_strs)
ci1 = selected_ci.to_fci(ci1_coeff, norb, (nelec, nelec))
dm1ref, dm2ref = direct_spin1.trans_rdm12s(ci1, ci0, norb,
(nelec, nelec))
dm1 = selected_ci.trans_rdm1s(ci1_coeff, ci_coeff, norb,
(nelec, nelec))
self.assertAlmostEqual(abs(dm1[0] - dm1ref[0]).sum(), 0, 9)
self.assertAlmostEqual(abs(dm1[1] - dm1ref[1]).sum(), 0, 9)
def test_spin0_contract(self):
myci = selected_ci_spin0.SCI()
civec_strs = selected_ci._as_SCIvector(spin0_ci_coeff, spin0_ci_strs)
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
e1 = numpy.dot(civec_strs.ravel(), myci.contract_2e(eri, civec_strs, norb, nelec).ravel())
eref = numpy.dot(ci0.ravel(), direct_spin1.contract_2e(eri, ci0, norb, nelec).ravel())
self.assertAlmostEqual(e1, eref, 9)
e2 = numpy.dot(civec_strs.ravel(), myci.contract_2e(eri, spin0_ci_coeff, norb, nelec).ravel())
self.assertAlmostEqual(e2, eref, 9)
def test_spin_square(self):
norb, nelec = 10, 4
strs = cistring.make_strings(range(norb), nelec)
numpy.random.seed(11)
mask = numpy.random.random(len(strs)) > .6
strsa = strs[mask]
mask = numpy.random.random(len(strs)) > .7
strsb = strs[mask]
ci_strs = (strsa, strsb)
ci_coeff = selected_ci._as_SCIvector(numpy.random.random((len(strsa),len(strsb))), ci_strs)
ci0 = selected_ci.to_fci(ci_coeff, norb, (nelec,nelec))
ss0 = selected_ci.spin_square(ci_coeff, norb, (nelec,nelec))
ss1 = spin_op.spin_square0(ci0, norb, (nelec,nelec))
self.assertAlmostEqual(ss0[0], ss1[0], 9)
def test_contract(self):
myci = selected_ci.SCI()
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
e1 = numpy.dot(
civec_strs.ravel(),
selected_ci.contract_2e(eri, civec_strs, norb, nelec).ravel())
e2 = numpy.dot(ci0.ravel(),
direct_spin1.contract_2e(eri, ci0, norb, nelec).ravel())
self.assertAlmostEqual(e1, e2, 9)
dm1 = myci.make_rdm1(civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm1), 0.70181046385686563, 9)
dm1 = myci.trans_rdm1(civec_strs, civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm1), 0.70181046385686563, 9)
dm2 = myci.make_rdm2(civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm2), -3.8397469683353962, 9)
def test_contract_2e(self):
myci = selected_ci.SCI()
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
e1 = numpy.dot(civec_strs.ravel(), myci.contract_2e(eri, civec_strs, norb, nelec).ravel())
eref = numpy.dot(ci0.ravel(), direct_spin1.contract_2e(eri, ci0, norb, nelec).ravel())
self.assertAlmostEqual(e1, eref, 9)
e2 = numpy.dot(civec_strs.ravel(), myci.contract_2e(eri, ci_coeff, norb, nelec).ravel())
self.assertAlmostEqual(e2, eref, 9)
dm1 = myci.make_rdm1(civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm1), 0.70181046385686563, 9)
dm1 = myci.trans_rdm1(civec_strs, civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm1), 0.70181046385686563, 9)
dm2 = myci.make_rdm2(civec_strs, norb, nelec)
self.assertAlmostEqual(finger(dm2), -3.8397469683353962, 9)
norb, nelec = 7, (4, 4)
strs = cistring.gen_strings4orblist(range(norb), nelec[0])
numpy.random.seed(11)
mask = numpy.random.random(len(strs)) > .3
strsa = strs[mask]
mask = numpy.random.random(len(strs)) > .2
strsb = strs[mask]
ci_strs = (strsa, strsb)
civec_strs = selected_ci._as_SCIvector(
numpy.random.random((len(strsa), len(strsb))), ci_strs)
orbsym = (numpy.random.random(norb) * 4).astype(int)
nn = norb * (norb + 1) // 2
eri = (numpy.random.random(nn * (nn + 1) // 2) - .2)**3
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
ci0 = addons.symmetrize_wfn(ci0, norb, nelec, orbsym)
civec_strs = selected_ci.from_fci(ci0, civec_strs._strs, norb, nelec)
e1 = numpy.dot(
civec_strs.ravel(),
contract_2e(eri, civec_strs, norb, nelec, orbsym=orbsym).ravel())
e2 = numpy.dot(
ci0.ravel(),
direct_spin1_symm.contract_2e(eri, ci0, norb, nelec,
orbsym=orbsym).ravel())
print(e1 - e2)
mol = gto.Mole()
mol.verbose = 0
mol.output = None
mol.atom = [
def test_from_to_fci(self):
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
ci1 = selected_ci.from_fci(ci0, ci_strs, norb, nelec)
self.assertAlmostEqual(abs(ci1 - ci_coeff).sum(), 0, 12)
from pyscf.fci import cistring
norb, nelec = 7, (4,4)
strs = cistring.gen_strings4orblist(range(norb), nelec[0])
numpy.random.seed(11)
mask = numpy.random.random(len(strs)) > .3
strsa = strs[mask]
mask = numpy.random.random(len(strs)) > .2
strsb = strs[mask]
ci_strs = (strsa, strsb)
civec_strs = selected_ci._as_SCIvector(numpy.random.random((len(strsa),len(strsb))), ci_strs)
orbsym = (numpy.random.random(norb) * 4).astype(int)
nn = norb*(norb+1)//2
eri = (numpy.random.random(nn*(nn+1)//2)-.2)**3
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
ci0 = addons.symmetrize_wfn(ci0, norb, nelec, orbsym)
civec_strs = selected_ci.from_fci(ci0, civec_strs._strs, norb, nelec)
e1 = numpy.dot(civec_strs.ravel(), contract_2e(eri, civec_strs, norb, nelec, orbsym=orbsym).ravel())
e2 = numpy.dot(ci0.ravel(), direct_spin1_symm.contract_2e(eri, ci0, norb, nelec, orbsym=orbsym).ravel())
print(e1-e2)
mol = gto.Mole()
mol.verbose = 0
mol.output = None
mol.atom = [
['O', ( 0., 0. , 0. )],
['H', ( 0., -0.757, 0.587)],
['H', ( 0., 0.757 , 0.587)],]
mol.basis = 'sto-3g'
mol.symmetry = 1
def test_from_to_fci(self):
ci0 = selected_ci.to_fci(civec_strs, norb, nelec)
ci1 = selected_ci.from_fci(ci0, ci_strs, norb, nelec)
self.assertAlmostEqual(abs(ci1-ci_coeff).sum(), 0, 12)
