Merge branch 'encyclopedia-api' into 'v0.8.4'

Encyclopedia merge

See merge request nomad-lab/nomad-FAIR!137

encyclopedia-gui @ 15cb97c9

-Subproject commit 62716704fcc6f74d5820311bffa7e7ebb0bf38c2
+Subproject commit 15cb97c9cf61fd59309a50f6700b99733fc6a659

vasp @ 8776a0bc

-Subproject commit 1a0c8cb0801375a78134c67f7a6d31319a338503
+Subproject commit 8776a0bc7b32fb51e98ea8fe7af7d5630240edd3

wien2k @ d58ac9b6

-Subproject commit 16f7a7f6909dbe16908d1be2e1fa03d3bddd17b5
+Subproject commit d58ac9b61ba2c9e82f50a30c2c234778743d51ad

nomad/app/api/encyclopedia.py

@@ -24,12 +24,12 @@ from flask import request
 from elasticsearch_dsl import Search, Q, A
 from elasticsearch_dsl.utils import AttrDict
 
-from nomad import config, files
+from nomad import config, files, infrastructure
 from nomad.units import ureg
 from nomad.atomutils import get_hill_decomposition
 from nomad.datamodel.datamodel import EntryArchive
 from .api import api
-from .common import enable_gzip
+from .auth import authenticate
 
 ns = api.namespace("encyclopedia", description="Access encyclopedia metadata.")
 re_formula = re.compile(r"([A-Z][a-z]?)(\d*)")
@@ -240,14 +240,65 @@ class EncMaterialsResource(Resource):
         except Exception as e:
             abort(400, message=str(e))
 
+        # The queries that correspond to AND queries typically need to access
+        # multiple calculations at once to find the material ids that
+        # correspond to the query. To implement this behaviour we need to run
+        # an initial aggregation that checks that the requested properties are
+        # present for a material. This is a a very crude solution that does not
+        # scale to complex queries, but I'm not sure we can do much better
+        # until we have a separate index for materials.
+        property_map = {
+            "has_thermal_properties": "encyclopedia.properties.thermodynamical_properties",
+            "has_band_structure": "encyclopedia.properties.electronic_band_structure",
+            "has_dos": "encyclopedia.properties.electronic_dos",
+            "has_fermi_surface": "encyclopedia.properties.fermi_surface",
+        }
+        requested_properties = []
+        # The size is set very large because all the results need to be
+        # returned. We cannot get the results in a paginated way with composite
+        # aggregation, because pipeline aggregations are not compatible with
+        # them.
+        agg_parent = A("terms", field="encyclopedia.material.material_id", size=5000000)
+        for key, value in property_map.items():
+            if data[key] is True:
+                agg = A("filter", exists={"field": value})
+                agg_parent.bucket(key, agg)
+                requested_properties.append(key)
+        if len(requested_properties) > 1:
+            bool_query = Q(
+                "bool",
+                filter=get_enc_filter(),
+            )
+            s = Search(index=config.elastic.index_name)
+            s = s.query(bool_query)
+            s.aggs.bucket("materials", agg_parent)
+            buckets_path = {x: "{}._count".format(x) for x in requested_properties}
+            script = " && ".join(["params.{} > 0".format(x) for x in requested_properties])
+            agg_parent.pipeline("selector", A(
+                "bucket_selector",
+                buckets_path=buckets_path,
+                script=script,
+            ))
+            s = s.extra(**{
+                "size": 0,
+            })
+            response = s.execute()
+            material_ids = [x["key"] for x in response.aggs.materials.buckets]
+            if len(material_ids) == 0:
+                abort(404, message="No materials found for the given search criteria or pagination.")
+
+        # After finding the material ids that fill the AND conditions, continue
+        # with a simple OR query.
         filters = get_enc_filter()
         must_nots = []
         musts = []
 
         def add_terms_filter(source, target, query_type="terms"):
-            if data[source]:
+            if data[source] is not None:
                 filters.append(Q(query_type, **{target: data[source]}))
 
+        if len(requested_properties) > 1:
+            filters.append(Q("terms", encyclopedia__material__material_id=material_ids))
         add_terms_filter("material_name", "encyclopedia.material.material_name")
         add_terms_filter("structure_type", "encyclopedia.material.bulk.structure_type")
         add_terms_filter("space_group_number", "encyclopedia.material.bulk.space_group_number")
@@ -258,7 +309,8 @@ class EncMaterialsResource(Resource):
         add_terms_filter("basis_set_type", "dft.basis_set")
         add_terms_filter("code_name", "dft.code_name")
 
-        # Add exists filters
+        # Add exists filters if only one property was requested. The initial
+        # aggregation will handlei multiple simultaneous properties.
         def add_exists_filter(source, target):
             param = data[source]
             if param is not None:
@@ -267,11 +319,9 @@ class EncMaterialsResource(Resource):
                     filters.append(query)
                 elif param is False:
                     must_nots.append(query)
-
-        add_exists_filter("has_thermal_properties", "encyclopedia.properties.thermodynamical_properties")
-        add_exists_filter("has_band_structure", "encyclopedia.properties.electronic_band_structure")
-        add_exists_filter("has_dos", "encyclopedia.properties.electronic_dos")
-        add_exists_filter("has_fermi_surface", "encyclopedia.properties.fermi_surface")
+        if len(requested_properties) == 1:
+            prop_name = requested_properties[0]
+            add_exists_filter(prop_name, property_map[prop_name])
 
         # Add range filters
         def add_range_filter(source, target, source_unit=None, target_unit=None):
@@ -430,8 +480,8 @@ class EncMaterialsResource(Resource):
                 pages["total"] = n_materials
 
         # 2. Collapse approach. Quickly provides a list of materials
-        # corresponding to the query, offers full pagination, doesn"t include
-        # the number of matches per material.
+        # corresponding to the query, offers full pagination, the number of
+        # matches per material needs to be requested with a separate query.
         elif mode == "collapse":
             s = Search(index=config.elastic.index_name)
             s = s.query(bool_query)
@@ -741,7 +791,6 @@ calculations_result = api.model("calculations_result", {
 
 @ns.route("/materials/<string:material_id>/calculations")
 class EncCalculationsResource(Resource):
-    @enable_gzip()
     @api.response(404, "Suggestion not found")
     @api.response(400, "Bad request")
     @api.response(200, "Metadata send", fields.Raw)
@@ -780,7 +829,9 @@ class EncCalculationsResource(Resource):
         def calc_score(entry):
             """Custom scoring function used to sort results by their
             "quality". Currently built to mimic the scoring that was used
-            in the old Encyclopedia GUI.
+            in the old Encyclopedia GUI. Primarily sorts by quality measure,
+            ties are broken by alphabetic sorting of entry_id in order to
+            return consistent results.
             """
             score = 0
             functional_score = {
@@ -800,7 +851,7 @@ class EncCalculationsResource(Resource):
             if has_dos and has_bs:
                 score += 10
 
-            return score
+            return (score, entry["calc_id"])
 
         # The calculations are first sorted by "quality"
         sorted_calc = sorted(response, key=lambda x: calc_score(x), reverse=True)
@@ -1081,7 +1132,6 @@ calculation_property_result = api.model("calculation_property_result", {
 
 @ns.route("/materials/<string:material_id>/calculations/<string:calc_id>")
 class EncCalculationResource(Resource):
-    @enable_gzip()
     @api.response(404, "Material or calculation not found")
     @api.response(400, "Bad request")
     @api.response(200, "Metadata send", fields.Raw)
@@ -1175,15 +1225,20 @@ class EncCalculationResource(Resource):
             for key, arch_path in arch_properties.items():
                 value = root[arch_path]
 
-                # Save derived properties and turn into dict
+                # Replace unnormalized thermodynamical properties with
+                # normalized ones and turn into dict
                 if key == "thermodynamical_properties":
                     specific_heat_capacity = value.specific_heat_capacity.magnitude.tolist()
                     specific_free_energy = value.specific_vibrational_free_energy_at_constant_volume.magnitude.tolist()
+                    specific_heat_capacity = [x if np.isfinite(x) else None for x in specific_heat_capacity]
+                    specific_free_energy = [x if np.isfinite(x) else None for x in specific_free_energy]
                 if isinstance(value, list):
                     value = [x.m_to_dict() for x in value]
                 else:
                     value = value.m_to_dict()
                 if key == "thermodynamical_properties":
+                    del value["thermodynamical_property_heat_capacity_C_v"]
+                    del value["vibrational_free_energy_at_constant_volume"]
                     value["specific_heat_capacity"] = specific_heat_capacity
                     value["specific_vibrational_free_energy_at_constant_volume"] = specific_free_energy
 
@@ -1226,6 +1281,63 @@ class EncCalculationResource(Resource):
         return result, 200
 
 
+report_query = api.model("report_query", {
+    "server": fields.String,
+    "username": fields.String,
+    "email": fields.String,
+    "first_name": fields.String,
+    "last_name": fields.String,
+    "category": fields.String,
+    "subcategory": fields.String(allow_null=True),
+    "representatives": fields.Raw(Raw=True),
+    "message": fields.String,
+})
+
+
+@ns.route("/materials/<string:material_id>/reports")
+class ReportsResource(Resource):
+    @api.response(500, "Error sending report")
+    @api.response(400, "Bad request")
+    @api.response(204, "Report succesfully sent", fields.Raw)
+    @api.expect(calculation_property_query, validate=False)
+    @api.marshal_with(calculation_property_result, skip_none=True)
+    @api.doc("enc_report")
+    @authenticate(required=True)
+    def post(self, material_id):
+
+        # Get query parameters as json
+        try:
+            query = marshal(request.get_json(), report_query)
+        except Exception as e:
+            abort(400, message=str(e))
+
+        # Send the report as an email
+        query["material_id"] = material_id
+        representatives = query["representatives"]
+        if representatives is not None:
+            representatives = "\n" + "\n".join(["  {}: {}".format(key, value) for key, value in representatives.items()])
+            query["representatives"] = representatives
+        mail = (
+            "Server: {server}\n\n"
+            "Username: {username}\n"
+            "First name: {first_name}\n"
+            "Last name: {last_name}\n"
+            "Email: {email}\n\n"
+            "Material id: {material_id}\n"
+            "Category: {category}\n"
+            "Subcategory: {subcategory}\n"
+            "Representative calculations: {representatives}\n\n"
+            "Message: {message}"
+        ).format(**query)
+        try:
+            infrastructure.send_mail(
+                name="webmaster", email="lauri.himanen@gmail.com", message=mail, subject='Encyclopedia error report')
+        except Exception as e:
+            abort(500, message="Error sending error report email.")
+        print(mail)
+        return "", 204
+
+
 def read_archive(upload_id: str, calc_id: str) -> EntryArchive:
     """Used to read data from the archive.
 

nomad/atomutils.py

@@ -75,7 +75,7 @@ def find_match(pos: np.array, positions: np.array, eps: float) -> Union[int, Non
         return None
 
 
-def get_symmetry_string(space_group: int, wyckoff_sets: List[WyckoffSet]) -> str:
+def get_symmetry_string(space_group: int, wyckoff_sets: List[WyckoffSet], is_2d: bool = False) -> str:
     """Used to serialize symmetry information into a string. The Wyckoff
     positions are assumed to be normalized and ordered as is the case if using
     the matid-library.
@@ -84,6 +84,9 @@ def get_symmetry_string(space_group: int, wyckoff_sets: List[WyckoffSet]) -> str
         space_group: 3D space group number
         wyckoff_sets: Wyckoff sets that map a Wyckoff letter to related
             information
+        is_2d: Whether the symmetry information is analyzed from a 2D
+            structure. If true, a prefix is added to the string to distinguish
+            2D from 3D.
 
     Returns:
         A string that encodes the symmetry properties of an atomistic
@@ -97,7 +100,10 @@ def get_symmetry_string(space_group: int, wyckoff_sets: List[WyckoffSet]) -> str
         i_string = "{} {} {}".format(element, wyckoff_letter, n_atoms)
         wyckoff_strings.append(i_string)
     wyckoff_string = ", ".join(sorted(wyckoff_strings))
-    string = "{} {}".format(space_group, wyckoff_string)
+    if is_2d:
+        string = "2D {} {}".format(space_group, wyckoff_string)
+    else:
+        string = "{} {}".format(space_group, wyckoff_string)
 
     return string
 

nomad/config.py

@@ -233,7 +233,7 @@ normalize = NomadConfig(
     max_2d_single_cell_size=7,
     # The distance tolerance between atoms for grouping them into the same
     # cluster. Used in detecting system type.
-    cluster_threshold=3.1,
+    cluster_threshold=2.5,
     # Defines the "bin size" for rounding cell angles for the material hash
     angle_rounding=float(10.0),  # unit: degree
     # The threshold for a system to be considered "flat". Used e.g. when

nomad/datamodel/metainfo/public.py

@@ -1290,14 +1290,6 @@ class section_dos(MSection):
         ''',
         a_legacy=LegacyDefinition(name='dos_energies'))
 
-    dos_fermi_energy = Quantity(
-        type=np.dtype(np.float64),
-        shape=[],
-        description='''
-        Stores the Fermi energy of the density of states.
-        ''',
-        a_legacy=LegacyDefinition(name='dos_fermi_energy'))
-
     dos_integrated_values = Quantity(
         type=np.dtype(np.float64),
         shape=['number_of_spin_channels', 'number_of_dos_values'],

nomad/infrastructure.py

@@ -433,6 +433,14 @@ def reset(remove: bool):
 
 
 def send_mail(name: str, email: str, message: str, subject: str):
+    """Used to programmatically send mails.
+
+    Args:
+        name: The email recipient name.
+        email: The email recipient address.
+        messsage: The email body.
+        subject: The subject line.
+    """
     if not config.mail.enabled:
         return
 
@@ -453,7 +461,6 @@ def send_mail(name: str, email: str, message: str, subject: str):
 
     msg = MIMEText(message)
     msg['Subject'] = subject
-    msg['From'] = 'The nomad team <%s>' % config.mail.from_address
     msg['To'] = name
     to_addrs = [email]
 

nomad/normalizing/encyclopedia/encyclopedia.py

@@ -207,6 +207,7 @@ class EncyclopediaNormalizer(Normalizer):
         """
         sec_enc = self.backend.entry_archive.section_metadata.m_create(EncyclopediaMetadata)
         status_enums = EncyclopediaMetadata.status.type
+        calc_enums = Calculation.calculation_type.type
 
         # Do nothing if section_run is not present
         if self.section_run is None:
@@ -251,16 +252,18 @@ class EncyclopediaNormalizer(Normalizer):
                 )
                 return
 
-            # Get the method type. For now, we allow unknown method type to
-            # allow phonon calculations through.
+            # Get the method type. For now, we allow unknown method type for
+            # phonon calculations, as the method information is resolved at a
+            # later stage.
             representative_method, method_type = self.method_type(method)
             if method_type == config.services.unavailable_value:
-                status = status_enums.unsupported_method_type
-                sec_enc.status = status
+                sec_enc.status = status_enums.unsupported_method_type
                 self.logger.info(
                     "unsupported method type for encyclopedia",
-                    enc_status=status,
+                    enc_status=status_enums.unsupported_method_type,
                 )
+                if calc_type != calc_enums.phonon_calculation:
+                    return
 
             # Get representative scc
             try:
@@ -284,6 +287,16 @@ class EncyclopediaNormalizer(Normalizer):
             # Put the encyclopedia section into backend
             self.fill(context)
 
+            # Check that the necessary information is in place
+            functional_type = method.functional_type
+            if functional_type is None:
+                sec_enc.status = status_enums.unsupported_method_type
+                self.logger.info(
+                    "unsupported functional type for encyclopedia",
+                    enc_status=status_enums.unsupported_method_type,
+                )
+                return
+
         except Exception:
             status = status_enums.failure
             sec_enc.status = status

nomad/normalizing/encyclopedia/material.py

@@ -422,6 +422,14 @@ class MaterialBulkNormalizer(MaterialNormalizer):
 class Material2DNormalizer(MaterialNormalizer):
     """Processes structure related metainfo for Encyclopedia 2D structures.
     """
+    def material_id(self, material: Material, spg_number: int, wyckoff_sets: List[WyckoffSet]) -> None:
+        # The hash is based on the symmetry analysis of the structure when it
+        # is treated as a 3D structure. Due to this the hash may overlap with
+        # real 3D structures unless we include a distinguishing label for 2D
+        # structures in the hash seed.
+        norm_hash_string = atomutils.get_symmetry_string(spg_number, wyckoff_sets, is_2d=True)
+        material.material_id = hash(norm_hash_string)
+
     def lattice_vectors(self, ideal: IdealizedStructure, std_atoms: Atoms) -> None:
         cell_normalized = std_atoms.get_cell()
         cell_normalized *= 1e-10
@@ -514,6 +522,8 @@ class Material2DNormalizer(MaterialNormalizer):
         self.lattice_vectors_primitive(ideal, prim_atoms)
         self.formula(material, names, counts)
         self.formula_reduced(material, names, reduced_counts)
+        self.species(material, names)
+        self.species_and_counts(material, names, reduced_counts)
         self.lattice_parameters(ideal, std_atoms, ideal.periodicity)
 
 
@@ -727,5 +737,7 @@ class Material1DNormalizer(MaterialNormalizer):
         self.lattice_vectors(ideal, std_atoms)
         self.formula(material, names, counts)
         self.formula_reduced(material, names, reduced_counts)
+        self.species(material, names)
+        self.species_and_counts(material, names, reduced_counts)
         self.material_id_1d(material, std_atoms)
         self.lattice_parameters(ideal, std_atoms, ideal.periodicity)

nomad/normalizing/system.py

@@ -248,7 +248,7 @@ class SystemNormalizer(SystemBasedNormalizer):
         system_type = config.services.unavailable_value
         if len(atoms) <= config.normalize.system_classification_with_clusters_threshold:
             try:
-                classifier = Classifier(cluster_threshold=config.normalize.cluster_threshold)
+                classifier = Classifier(radii="covalent", cluster_threshold=config.normalize.cluster_threshold)
                 cls = classifier.classify(atoms)
             except Exception as e:
                 self.logger.error(

nomad/processing/data.py

@@ -444,7 +444,7 @@ class Calc(Proc):
 
             # Get encyclopedia method information directly from the referenced calculation.
             ref_enc_method = ref_archive.section_metadata.encyclopedia.method
-            if ref_enc_method is None or len(ref_enc_method) == 0:
+            if ref_enc_method is None or len(ref_enc_method) == 0 or ref_enc_method.functional_type is None:
                 raise ValueError("No method information available in referenced calculation.")
             backend.entry_archive.section_metadata.encyclopedia.method = ref_enc_method
 
@@ -455,6 +455,7 @@ class Calc(Proc):
             self._entry_metadata.dft.xc_functional = ref_archive.section_metadata.dft.xc_functional
             self._entry_metadata.dft.basis_set = ref_archive.section_metadata.dft.basis_set
             self._entry_metadata.dft.update_group_hash()
+            self._entry_metadata.encyclopedia.status = EncyclopediaMetadata.status.type.success
         except Exception as e:
             logger.error("Could not retrieve method information for phonon calculation.", exception=e)
             if self._entry_metadata.encyclopedia is None:
@@ -1077,7 +1078,7 @@ class Upload(Proc):
                 '"%s" ' % self.name if self.name else '', self.upload_time.isoformat()),  # pylint: disable=no-member
             'You can review your data on your upload page: %s' % config.gui_url(page='uploads'),
             '',
-            'If you encouter any issues with your upload, please let us know and replay to this email.',
+            'If you encounter any issues with your upload, please let us know and reply to this email.',
             '',
             'The nomad team'
         ])

ops/helm/nomad/templates/api-deployment.yaml

@@ -114,11 +114,14 @@ metadata:
 data:
   conf.js: |
     window.nomadEnv = {
-      host: "https://{{ .Values.proxy.external.host }}{{ .Values.proxy.external.path }}",
-      path: "/api/encyclopedia/",
+      apiRoot: "https://{{ .Values.proxy.external.host }}{{ .Values.proxy.external.path }}/api/encyclopedia/",
+      guiRoot: "https://{{ .Values.proxy.external.host }}{{ .Values.proxy.external.path }}/encyclopedia/",
       userCookieDomain: ".{{ .Values.proxy.external.host }}",
       guestUserToken: 'eyJhbGciOiJIUzI1NiIsImlhdCI6MTUyMzg4MDE1OSwiZXhwIjoxNjgxNTYwMTU5fQ.ey'+
-      'JpZCI6ImVuY2d1aSJ9.MsMWQa3IklH7cQTxRaIRSF9q8D_2LD5Fs2-irpWPTp4'
+      'JpZCI6ImVuY2d1aSJ9.MsMWQa3IklH7cQTxRaIRSF9q8D_2LD5Fs2-irpWPTp4',
+      keycloakBase: "{{ .Values.keycloak.serverExternalUrl }}",
+      keycloakRealm: "{{ .Values.keycloak.realmName }}",
+      keycloakClientId: "{{ .Values.keycloak.guiClientId }}"
     };
 ---
 apiVersion: apps/v1

requirements.txt

@@ -28,7 +28,7 @@ h5py
 hjson
 scipy
 scikit-learn==0.20.2
-matid==0.6.0
+matid==0.6.1
 python-magic
 panedr==0.2
 parmed==3.0.0

tests/data/parsers/elastic/diamond/Distorted_Parameters

+Dst01, Lagrangian strain = ( eta, eta, eta, 0.0, 0.0, 0.0)
+Dst01_01    eta = -0.1
+V1 --=>    -0.4472135955     0.0000000000     0.4472135955
+V2 --=>     0.0000000000     0.4472135955     0.4472135955
+V3 --=>    -0.4472135955     0.4472135955     0.0000000000
+
+Dst01_02    eta = -0.09
+V1 --=>    -0.4527692569     0.0000000000     0.4527692569
+V2 --=>     0.0000000000     0.4527692569     0.4527692569
+V3 --=>    -0.4527692569     0.4527692569     0.0000000000
+
+Dst01_03    eta = -0.08
+V1 --=>    -0.4582575695     0.0000000000     0.4582575695
+V2 --=>     0.0000000000     0.4582575695     0.4582575695
+V3 --=>    -0.4582575695     0.4582575695     0.0000000000
+
+Dst01_04    eta = -0.07
+V1 --=>    -0.4636809248     0.0000000000     0.4636809248
+V2 --=>     0.0000000000     0.4636809248     0.4636809248
+V3 --=>    -0.4636809248     0.4636809248     0.0000000000
+
+Dst01_05    eta = -0.06
+V1 --=>    -0.4690415760     0.0000000000     0.4690415760
+V2 --=>     0.0000000000     0.4690415760     0.4690415760
+V3 --=>    -0.4690415760     0.4690415760     0.0000000000
+
+Dst01_06    eta = -0.05
+V1 --=>    -0.4743416490     0.0000000000     0.4743416490
+V2 --=>     0.0000000000     0.4743416490     0.4743416490
+V3 --=>    -0.4743416490     0.4743416490     0.0000000000
+
+Dst01_07    eta = -0.04
+V1 --=>    -0.4795831523     0.0000000000     0.4795831523
+V2 --=>     0.0000000000     0.4795831523     0.4795831523
+V3 --=>    -0.4795831523     0.4795831523     0.0000000000
+
+Dst01_08    eta = -0.03
+V1 --=>    -0.4847679857     0.0000000000     0.4847679857
+V2 --=>     0.0000000000     0.4847679857     0.4847679857
+V3 --=>    -0.4847679857     0.4847679857     0.0000000000
+
+Dst01_09    eta = -0.02
+V1 --=>    -0.4898979486     0.0000000000     0.4898979486
+V2 --=>     0.0000000000     0.4898979486     0.4898979486
+V3 --=>    -0.4898979486     0.4898979486     0.0000000000
+
+Dst01_10    eta = -0.01
+V1 --=>    -0.4949747468     0.0000000000     0.4949747468
+V2 --=>     0.0000000000     0.4949747468     0.4949747468
+V3 --=>    -0.4949747468     0.4949747468     0.0000000000
+
+Dst01_11    eta = 0.0001
+V1 --=>    -0.5000499975     0.0000000000     0.5000499975
+V2 --=>     0.0000000000     0.5000499975     0.5000499975
+V3 --=>    -0.5000499975     0.5000499975     0.0000000000
+
+Dst01_12    eta = 0.01
+V1 --=>    -0.5049752469     0.0000000000     0.5049752469
+V2 --=>     0.0000000000     0.5049752469     0.5049752469
+V3 --=>    -0.5049752469     0.5049752469     0.0000000000
+
+Dst01_13    eta = 0.02
+V1 --=>    -0.5099019514     0.0000000000     0.5099019514
+V2 --=>     0.0000000000     0.5099019514     0.5099019514
+V3 --=>    -0.5099019514     0.5099019514     0.0000000000
+
+Dst01_14    eta = 0.03
+V1 --=>    -0.5147815070     0.0000000000     0.5147815070
+V2 --=>     0.0000000000     0.5147815070     0.5147815070
+V3 --=>    -0.5147815070     0.5147815070     0.0000000000
+
+Dst01_15    eta = 0.04
+V1 --=>    -0.5196152423     0.0000000000     0.5196152423
+V2 --=>     0.0000000000     0.5196152423     0.5196152423
+V3 --=>    -0.5196152423     0.5196152423     0.0000000000
+
+Dst01_16    eta = 0.05
+V1 --=>    -0.5244044241     0.0000000000     0.5244044241
+V2 --=>     0.0000000000     0.5244044241     0.5244044241
+V3 --=>    -0.5244044241     0.5244044241     0.0000000000
+
+Dst01_17    eta = 0.06
+V1 --=>    -0.5291502622     0.0000000000     0.5291502622
+V2 --=>     0.0000000000     0.5291502622     0.5291502622
+V3 --=>    -0.5291502622     0.5291502622     0.0000000000
+
+Dst01_18    eta = 0.07
+V1 --=>    -0.5338539126     0.0000000000     0.5338539126
+V2 --=>     0.0000000000     0.5338539126     0.5338539126
+V3 --=>    -0.5338539126     0.5338539126     0.0000000000
+
+Dst01_19    eta = 0.08
+V1 --=>    -0.5385164807     0.0000000000     0.5385164807
+V2 --=>     0.0000000000     0.5385164807     0.5385164807
+V3 --=>    -0.5385164807     0.5385164807     0.0000000000
+
+Dst01_20    eta = 0.09
+V1 --=>    -0.5431390246     0.0000000000     0.5431390246
+V2 --=>     0.0000000000     0.5431390246     0.5431390246
+V3 --=>    -0.5431390246     0.5431390246     0.0000000000
+
+Dst01_21    eta = 0.1
+V1 --=>    -0.5477225575     0.0000000000     0.5477225575
+V2 --=>     0.0000000000     0.5477225575     0.5477225575
+V3 --=>    -0.5477225575     0.5477225575     0.0000000000
+
+Dst02, Lagrangian strain = ( eta, eta, 0.0, 0.0, 0.0, 0.0)
+Dst02_01    eta = -0.1
+V1 --=>    -0.4472135955     0.0000000000     0.5000000000
+V2 --=>     0.0000000000     0.4472135955     0.5000000000
+V3 --=>    -0.4472135955     0.4472135955     0.0000000000
+
+Dst02_02    eta = -0.09
+V1 --=>    -0.4527692569     0.0000000000     0.5000000000
+V2 --=>     0.0000000000     0.4527692569     0.5000000000
+V3 --=>    -0.4527692569     0.4527692569     0.0000000000
+
+Dst02_03    eta = -0.08
+V1 --=>    -0.4582575695     0.0000000000     0.5000000000
+V2 --=>     0.0000000000     0.4582575695     0.5000000000
+V3 --=>    -0.4582575695     0.4582575695     0.0000000000
+
+Dst02_04    eta = -0.07
+V1 --=>    -0.4636809248     0.0000000000     0.5000000000
+V2 --=>     0.0000000000     0.4636809248     0.5000000000
+V3 --=>    -0.4636809248     0.4636809248     0.0000000000
+
+Dst02_05    eta = -0.06
+V1 --=>    -0.4690415760     0.0000000000     0.5000000000
+V2 --=>     0.0000000000     0.4690415760     0.5000000000
+V3 --=>    -0.4690415760     0.4690415760     0.0000000000