diff --git a/.vscode/settings.json b/.vscode/settings.json index 3c6f9ff..0793d89 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -5,7 +5,7 @@ "${workspaceFolder}/src" ], "python.terminal.activateEnvironment": true, - "python.defaultInterpreterPath": "${workspaceFolder}/.venv/bin/python", + "python.defaultInterpreterPath": "${workspaceFolder}/.venv/Scripts/python.exe", // Test settings "python.testing.pytestEnabled": true, "python.testing.unittestEnabled": false, diff --git a/examples/data/FE_results_fatpy.csv b/examples/data/FE_results_fatpy.csv new file mode 100644 index 0000000..07594d9 --- /dev/null +++ b/examples/data/FE_results_fatpy.csv @@ -0,0 +1,67569 @@ +node_id,x,y,z,time,EE11,EE22,EE33,EE23,EE13,EE12,PE11,PE22,PE33,PE23,PE13,PE12,S11,S22,S33,S23,S13,S12 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6e2d897..b36fd7a 100644 --- a/src/fatpy/data_parsing/fe_model.py +++ b/src/fatpy/data_parsing/fe_model.py @@ -1 +1,431 @@ -"""Finite element model parsing module.""" +r"""Finite element model parsing module. + +Reading of FE results (nodal solution) exported to the FatPy CSV format. +FatPy does not depend on the FE software: export the results of Abaqus, +ANSYS, ... to this format. Element and integration point results will follow. + +The results of a file are returned as `NodalResults`: stress and strain +histories in Voigt form, shape ``(n_nodes, n_steps, 6)``, with the node ids +and coordinates, ready for the multiaxial criteria (``(n_steps, 6)`` per node +with `NodalResults.at_node`). Results of several files are scaled and summed +by `fatpy.data_parsing.loads.superpose`. + +Unit system: + FatPy works in N and mm: stresses in MPa, strains in mm/mm, coordinates + in mm, time in s (or load steps). Values must be given in these units; + nothing is converted. + +FatPy CSV format: + One row per node per time step, comma separated, with this exact header + line and column order: + + | Columns | Content | Unit | + |----------------------------------|-------------------------------|-------| + | ``node_id`` | node number (integer) | - | + | ``x, y, z`` | node coordinates | mm | + | ``time`` | physical time or step number | s, - | + | ``EE11, EE22, EE33, EE23, EE13, EE12`` | elastic strain | mm/mm | + | ``PE11, PE22, PE33, PE23, PE13, PE12`` | plastic strain | mm/mm | + | ``S11, S22, S33, S23, S13, S12`` | stress | MPa | + + - Coordinates and tensors are given in the same reference system (e.g. + the global coordinate system of the FE model). Coordinates are the + undeformed ones and must be the same at every time step. + - Tensor components are in the Voigt order (11, 22, 33, 23, 13, 12). + - Shear strains EE23, EE13, EE12, PE23, PE13, PE12 are **tensor** strains + ε_ij = γ_ij / 2, as in `fatpy.utils.voigt` and + `fatpy.struct_mech.strain`. Abaqus (EE12, PE12) and ANSYS (EPEL, EPPL) + export **engineering** shear strains γ_ij: divide them by 2 when + writing the CSV file. Shear stresses are not affected. + - Every node has one row at every time step, and (node_id, time) pairs + are unique. Rows can be in any order. + - Example (node 12 at time 1, uniaxial 100 MPa, E = 200 000 MPa, + ν = 0.3, no plasticity):: + + node_id,x,y,z,time,EE11,EE22,EE33,EE23,EE13,EE12,PE11,PE22,PE33,PE23,PE13,PE12,S11,S22,S33,S23,S13,S12 + 12,10.0,0.0,5.0,1,5e-4,-1.5e-4,-1.5e-4,0,0,0,0,0,0,0,0,0,100.0,0,0,0,0,0 + +Checks: + `read_fe_csv` names the file, line, column or node of every problem: + missing, extra, repeated or out-of-order columns, non-numeric, NaN or + inf values, non-integer node ids, duplicate or missing (node_id, time) + rows, moving coordinates. For a linear-elastic file (e.g. a unit load + result, ``linear_elastic=True``) every plastic strain must satisfy + |PE| <= `PLASTIC_STRAIN_TOLERANCE` (1e-12). + +Future work: + - Element and integration point results in the CSV format. +""" + +from collections.abc import Sequence +from dataclasses import dataclass, field +from pathlib import Path + +import numpy as np +from numpy.typing import ArrayLike, NDArray + +from fatpy.utils import voigt +from fatpy.utils.signal import CsvFormatError, read_numeric_csv + +#: Columns of the FatPy FE result CSV format, in this order. +FE_CSV_COLUMNS: tuple[str, ...] = ( + "node_id", + "x", + "y", + "z", + "time", + *(f"EE{s}" for s in ("11", "22", "33", "23", "13", "12")), + *(f"PE{s}" for s in ("11", "22", "33", "23", "13", "12")), + *(f"S{s}" for s in ("11", "22", "33", "23", "13", "12")), +) +#: Largest |plastic strain| [mm/mm] accepted in a linear-elastic result file. +PLASTIC_STRAIN_TOLERANCE = 1e-12 +#: Largest difference [mm] between coordinates of the same node. +COORDINATE_TOLERANCE = 1e-6 +_EE = slice(5, 11) +_PE = slice(11, 17) +_S = slice(17, 23) + + +class FEResultError(ValueError): + """Raised when an FE result file is invalid or inconsistent. + + The message names the file, and the line, column or node when known. + """ + + +class PlasticStrainError(FEResultError): + """Raised when a file declared linear-elastic contains plastic strain.""" + + +def _read_only(values: ArrayLike) -> NDArray[np.float64]: + """Read-only float64 copy of `values`.""" + array = np.array(values, dtype=np.float64) + array.setflags(write=False) + return array + + +@dataclass(frozen=True, eq=False) +class NodeHistory: + """Results of one node, ready for the multiaxial criteria. + + Attributes: + node_id: Node number. + coordinates: Node coordinates (x, y, z) [mm], shape (3,). + time: Time instants [s] or load steps, shape (m,). + elastic_strain: Elastic strain, Voigt, shape (m, 6) [mm/mm]. + plastic_strain: Plastic strain, Voigt, shape (m, 6) [mm/mm]. + stress: Stress, Voigt, shape (m, 6) [MPa]. + """ + + node_id: int + coordinates: NDArray[np.float64] + time: NDArray[np.float64] + elastic_strain: NDArray[np.float64] + plastic_strain: NDArray[np.float64] + stress: NDArray[np.float64] + + @property + def total_strain(self) -> NDArray[np.float64]: + """Elastic plus plastic strain, Voigt, shape (m, 6) [mm/mm].""" + return self.elastic_strain + self.plastic_strain + + +@dataclass(frozen=True, eq=False) +class NodalResults: + """Stress and strain histories of FE nodes, in Voigt form. + + Nodes are sorted by increasing `node_ids`, time steps by increasing + `time`. All arrays are read-only float64 (int64 for `node_ids`). + + Attributes: + node_ids: Node numbers, unique, shape (n,). + coordinates: Node coordinates (x, y, z) [mm], shape (n, 3). + time: Time instants [s] or load steps, shape (m,). + elastic_strain: Elastic strain, shape (n, m, 6) [mm/mm]. + plastic_strain: Plastic strain, shape (n, m, 6) [mm/mm]. + stress: Stress, shape (n, m, 6) [MPa]. + source: Description of where the results come from (file names). + """ + + node_ids: NDArray[np.int64] + coordinates: NDArray[np.float64] + time: NDArray[np.float64] + elastic_strain: NDArray[np.float64] + plastic_strain: NDArray[np.float64] + stress: NDArray[np.float64] + source: str = "" + _index: dict[int, int] = field(init=False, repr=False) + + def __post_init__(self) -> None: + """Store read-only arrays and check their shapes. + + Raises: + FEResultError: If the shapes are inconsistent or node ids repeat. + """ + node_ids = np.array(self.node_ids, dtype=np.int64) + node_ids.setflags(write=False) + object.__setattr__(self, "node_ids", node_ids) + for name in ("coordinates", "time", "elastic_strain", "plastic_strain"): + object.__setattr__(self, name, _read_only(getattr(self, name))) + object.__setattr__(self, "stress", _read_only(self.stress)) + n, m = self.node_ids.size, self.time.size + expected = { + "node_ids": (n,), + "coordinates": (n, 3), + "time": (m,), + "elastic_strain": (n, m, voigt.VOIGT_COMPONENTS_COUNT), + "plastic_strain": (n, m, voigt.VOIGT_COMPONENTS_COUNT), + "stress": (n, m, voigt.VOIGT_COMPONENTS_COUNT), + } + for name, shape in expected.items(): + if getattr(self, name).shape != shape: + raise FEResultError( + f"{self.source}: {name} has shape {getattr(self, name).shape}, " + f"expected {shape} for {n} nodes and {m} time steps" + ) + index = {int(node): i for i, node in enumerate(self.node_ids)} + if len(index) != n: + raise FEResultError(f"{self.source}: node ids are not unique") + object.__setattr__(self, "_index", index) + + @property + def n_nodes(self) -> int: + """Number of nodes.""" + return int(self.node_ids.size) + + @property + def n_steps(self) -> int: + """Number of time steps.""" + return int(self.time.size) + + @property + def total_strain(self) -> NDArray[np.float64]: + """Elastic plus plastic strain, shape (n, m, 6) [mm/mm].""" + return self.elastic_strain + self.plastic_strain + + def index_of(self, node_id: int) -> int: + """Position of a node in the arrays. + + Raises: + KeyError: If there is no such node. + """ + try: + return self._index[int(node_id)] + except KeyError: + raise KeyError(f"No node {node_id} in {self.source}") from None + + def at_node(self, node_id: int) -> NodeHistory: + """Results of one node, with (m, 6) Voigt histories. + + Raises: + KeyError: If there is no such node. + """ + i = self.index_of(node_id) + return NodeHistory( + int(node_id), + self.coordinates[i], + self.time, + self.elastic_strain[i], + self.plastic_strain[i], + self.stress[i], + ) + + +def _check_fe_header(path: str | Path) -> None: + """Raise `FEResultError` unless the header is exactly `FE_CSV_COLUMNS`.""" + with open(path, encoding="utf-8-sig") as file: + header = [c.strip() for c in file.readline().strip().split(",")] + missing = [c for c in FE_CSV_COLUMNS if c not in header] + extra = [c for c in header if c not in FE_CSV_COLUMNS] + repeated = sorted({c for c in header if header.count(c) > 1}) + problems = [] + if missing: + problems.append(f"missing column(s) {missing}") + if extra: + problems.append(f"unexpected column(s) {extra}") + if repeated: + problems.append(f"repeated column(s) {repeated}") + if not problems and tuple(header) != FE_CSV_COLUMNS: + i = next( + i + for i, (a, b) in enumerate(zip(header, FE_CSV_COLUMNS, strict=True)) + if a != b + ) + problems.append( + f"wrong column order: column {i + 1} is {header[i]!r}, expected " + f"{FE_CSV_COLUMNS[i]!r}" + ) + if problems: + raise FEResultError( + f"{path}, line 1: {'; '.join(problems)}. The header must be: " + f"{','.join(FE_CSV_COLUMNS)}" + ) + + +@dataclass(frozen=True) +class _NodeFilter: + """Keep a CSV line if its first value is one of `ids`.""" + + ids: frozenset[float] + + def __call__(self, text: str) -> bool: + """``True`` for a wanted node (and for unreadable lines, to report them).""" + try: + return float(text.split(",", 1)[0]) in self.ids + except ValueError: + return True + + +def _node_filter(node_ids: Sequence[int]) -> _NodeFilter: + """Line filter keeping the rows of the given nodes.""" + return _NodeFilter(frozenset(float(n) for n in node_ids)) + + +def read_fe_csv( + path: str | Path, + node_ids: Sequence[int] | None = None, + linear_elastic: bool = False, +) -> NodalResults: + """Read an FE result file in the FatPy CSV format (nodal solution). + + See the module docstring for the format. Values are read as float64 in + chunks; with `node_ids` only the rows of these nodes are converted and + checked, which saves memory for large files. + + Args: + path: CSV file. + node_ids: Nodes to load, all if ``None``. + linear_elastic: ``True`` if the results come from a linear-elastic + analysis (e.g. a unit load case): every plastic strain must then + satisfy |PE| <= `PLASTIC_STRAIN_TOLERANCE`. + + Returns: + The `NodalResults`, nodes and time steps sorted. + + Raises: + FEResultError: If a column is missing, extra, repeated or out of + order; if a value is non-numeric, NaN or inf; if a node id is not + an integer; if a (node_id, time) row is repeated or missing; if + the coordinates of a node change; if a requested node is not in + the file. The message names the file, line, column or node. + PlasticStrainError: If `linear_elastic` and a plastic strain exceeds + the tolerance. + """ + _check_fe_header(path) + keep = None if node_ids is None else _node_filter(node_ids) + try: + table = read_numeric_csv(path, keep) + table.check_finite() + except CsvFormatError as err: + raise FEResultError(str(err)) from err + data, lines = table.data, table.lines + if data.shape[0] == 0: + raise FEResultError( + f"{path}: no data row" + + ("" if node_ids is None else f" for the node ids {list(node_ids)}") + ) + + nodes = data[:, 0] + not_integer = np.flatnonzero(nodes != np.round(nodes)) + if not_integer.size: + row = not_integer[0] + raise FEResultError( + f"{path}, line {lines[row]}, column 'node_id': node ids must be " + f"integers, got {nodes[row]!r}" + ) + if node_ids is not None: + absent = sorted(set(int(n) for n in node_ids) - set(nodes.astype(np.int64))) + if absent: + raise FEResultError(f"{path}: node ids {absent} are not in the file") + + unique_nodes, node_index = np.unique(nodes, return_inverse=True) + unique_times, time_index = np.unique(data[:, 4], return_inverse=True) + order = np.lexsort((time_index, node_index)) + pairs = node_index[order] * unique_times.size + time_index[order] + repeated = np.flatnonzero(np.diff(pairs) == 0) + if repeated.size: + first, second = order[repeated[0]], order[repeated[0] + 1] + raise FEResultError( + f"{path}, lines {min(lines[first], lines[second])} and " + f"{max(lines[first], lines[second])}: duplicate row for node " + f"{int(nodes[first])} at time {data[first, 4]:g}" + ) + n_nodes, n_steps = unique_nodes.size, unique_times.size + if data.shape[0] != n_nodes * n_steps: + counts = np.bincount(node_index, minlength=n_nodes) + incomplete = int(np.argmax(counts < n_steps)) + present = set(time_index[node_index == incomplete].tolist()) + missing_step = next(t for t in range(n_steps) if t not in present) + raise FEResultError( + f"{path}: node {int(unique_nodes[incomplete])} has no row at time " + f"{unique_times[missing_step]:g} (every node needs one row at each " + f"of the {n_steps} time steps)" + ) + + grid = data[order].reshape(n_nodes, n_steps, len(FE_CSV_COLUMNS)) + grid_lines = lines[order].reshape(n_nodes, n_steps) + coordinates = grid[:, 0, 1:4] + moved = np.abs(grid[:, :, 1:4] - coordinates[:, np.newaxis, :]).max(axis=2) + if np.any(moved > COORDINATE_TOLERANCE): + node, step = (int(v) for v in np.unravel_index(np.argmax(moved), moved.shape)) + raise FEResultError( + f"{path}, line {grid_lines[node, step]}: coordinates of node " + f"{int(unique_nodes[node])} differ from line {grid_lines[node, 0]} by " + f"{moved[node, step]:g} mm; give the undeformed coordinates at every " + "time step" + ) + + plastic = grid[:, :, _PE] + if linear_elastic: + over = np.abs(plastic) > PLASTIC_STRAIN_TOLERANCE + if np.any(over): + where = np.argwhere(over) + first = int(np.argmin(grid_lines[where[:, 0], where[:, 1]])) + i, step, component = (int(v) for v in where[first]) + raise PlasticStrainError( + f"{path}, line {grid_lines[i, step]}: plastic strain " + f"{FE_CSV_COLUMNS[_PE][component]} = " + f"{plastic[i, step, component]:.3e} at node " + f"{int(unique_nodes[i])}, time {unique_times[step]:g} (|PE| > " + f"{PLASTIC_STRAIN_TOLERANCE:g}): is this simulation really " + "linear elastic?" + ) + + return NodalResults( + node_ids=unique_nodes.astype(np.int64), + coordinates=coordinates, + time=unique_times, + elastic_strain=grid[:, :, _EE], + plastic_strain=plastic, + stress=grid[:, :, _S], + source=str(path), + ) + + +def check_same_nodes(reference: NodalResults, other: NodalResults) -> None: + """Check that two results share the same nodes and coordinates. + + Args: + reference: Results the other one is compared with. + other: Results to check. + + Raises: + FEResultError: If the node ids differ, or if the coordinates of a + node differ by more than `COORDINATE_TOLERANCE`. + """ + if not np.array_equal(reference.node_ids, other.node_ids): + ref, oth = set(reference.node_ids.tolist()), set(other.node_ids.tolist()) + raise FEResultError( + f"{other.source} and {reference.source} have different nodes: " + f"only in {other.source}: {sorted(oth - ref)[:10]}, only in " + f"{reference.source}: {sorted(ref - oth)[:10]}" + ) + distance = np.abs(other.coordinates - reference.coordinates).max(axis=1) + if np.any(distance > COORDINATE_TOLERANCE): + i = int(np.argmax(distance)) + raise FEResultError( + f"{other.source} and {reference.source}: coordinates of node " + f"{int(reference.node_ids[i])} differ by {distance[i]:g} mm; the " + "files must use the same mesh and reference system" + ) diff --git a/src/fatpy/data_parsing/loads.py b/src/fatpy/data_parsing/loads.py index facba27..f619508 100644 --- a/src/fatpy/data_parsing/loads.py +++ b/src/fatpy/data_parsing/loads.py @@ -1 +1,777 @@ -"""Load data parsing module.""" +r"""Load data parsing module. + +Definition of the loading conditions applied to a component, following the +load definition of PragTic. A load is defined in one of two ways: + +A) by functions (nominal stresses or strains, no FE model), see `Channel` + and `LoadCase`; +B) by FE results exported to the FatPy CSV format, read by + `fatpy.data_parsing.fe_model.read_fe_csv` and combined by `superpose`. + +Both give stress and strain histories in Voigt form, ready for the multiaxial +criteria: ``(n_steps, 6)`` for A, ``(n_nodes, n_steps, 6)`` with the node ids +and coordinates for B (``(n_steps, 6)`` per node with +`fatpy.data_parsing.fe_model.NodalResults.at_node`). + +Unit system: + FatPy works in N and mm: forces in N, moments in N*mm, stresses in MPa, + strains in mm/mm, coordinates in mm, time in s (or load steps). Values + must be given in these units; nothing is converted. + +Conventions: + - Stress and strain components follow the Voigt order of + `fatpy.utils.voigt`: (11, 22, 33, 23, 13, 12). + - Shear strains are **tensor** components, ε_12 = γ_12 / 2, as in + `fatpy.utils.voigt` (the Voigt vector is copied unchanged into the + symmetric tensor) and `fatpy.struct_mech.strain` (von Mises strain + written with ``6 (ε_12² + ε_23² + ε_13²)``). + - Force and moment channels are external loads; they have no Voigt + position. + +A) Function definition: + - A `Channel` gives one component of one physical `Quantity` (stress, + strain, force or moment) a unitless time `fatpy.utils.signal.Signal` + (sine, triangle, square, constant, or a measured record read with + `fatpy.utils.signal.VariableAmplitudeSignal.from_csv`). + - A `LoadCase` groups the channels acting together. Its time axis is + either: + - one common period of the periodic (constant-amplitude) channels, + see `common_time_axis`, or + - the time instants shared by the variable-amplitude channels. + Static (``CONSTANT`` waveform) channels can be added to both. + - `LoadCase.history` samples every channel on that time axis and returns + a `LoadHistory`, which `LoadHistory.to_voigt_stress` and + `LoadHistory.to_voigt_strain` turn into ``(n, 6)`` Voigt arrays. + - A load case is a load sequence (`LoadCase.is_sequence`) when one of its + variable-amplitude channels has no time scale. + +Sampling of periodic channels: + - The time axis spans one common period, the least common multiple of + the periods (`period_lcm`), both ends included. + - The shortest period is divided into `DEFAULT_SAMPLES_PER_PERIOD` (72, + i.e. 5° steps) equal time steps; set ``samples_per_period`` to change + it (at least `MIN_SAMPLES_PER_PERIOD`). + - The instants of the maximum and minimum of every sine and triangle + channel (`fatpy.utils.signal.ConstantAmplitudeSignal.peak_instants`) + are added to the uniform grid, so the extremes are always sampled + exactly, whatever the phases and the frequency ratios. The time step + is then no longer uniform. + +B) FE results: + Reading FE results in the FatPy CSV format is done by + `fatpy.data_parsing.fe_model` (format, checks, `NodalResults`). This + module combines them with the loading: `superpose` multiplies each + `FEResultFile` by its factor and optionally by a `Signal`, and sums them: + + - real FE results (any material model, elastic-plastic included): + factor = 1, used as they are; + - results under a unit load (1 N, 1 N*mm, 1 MPa): factor = real load. + Such a file must be declared ``linear_elastic=True``; its plastic + strains are then checked to be zero (|PE| <= 1e-12). + +PragTic mapping: + - load regime -> `LoadCase` + - load channel -> `Channel` + - load defined by a mathematical formula -> `ConstantAmplitudeSignal` + - load read from a file -> `VariableAmplitudeSignal` + - FE results under unit load, scaled and summed -> `superpose` + +Future work: + - Element and integration point results in the CSV format. + - PSD loading (a new `Signal` class, no change to `Channel` or + `LoadCase`). + - Loading sequences with repetitions of load cases. + - Conversion of force and moment channels to stresses. + - Load spectra. +""" + +import math +from collections.abc import Sequence +from dataclasses import dataclass +from enum import Enum +from fractions import Fraction +from pathlib import Path + +import numpy as np +from numpy.typing import ArrayLike, NDArray + +from fatpy.data_parsing.fe_model import ( + FEResultError, + NodalResults, + check_same_nodes, + read_fe_csv, +) +from fatpy.utils import voigt +from fatpy.utils.signal import ( + TIME_PRECISION, + ConstantAmplitudeSignal, + Signal, + SignalError, + VariableAmplitudeSignal, +) + +#: Unit of time. +TIME_UNIT = "s" +#: Default number of time steps in the shortest period of a load case. +DEFAULT_SAMPLES_PER_PERIOD = 72 +#: Minimum number of time steps in the shortest period. +MIN_SAMPLES_PER_PERIOD = 4 +#: Maximum length of the common period, as a number of shortest periods. +MAX_CYCLE_IN_SHORTEST_PERIODS = 1000 +_TIME_DIGITS = 9 # TIME_PRECISION = 10**-_TIME_DIGITS + + +class LoadDefinitionError(ValueError): + """Raised when a load is inconsistently defined.""" + + +class Quantity(Enum): + """Physical quantity carried by a channel.""" + + STRESS = "stress" + STRAIN = "strain" + FORCE = "force" + MOMENT = "moment" + + @property + def components(self) -> tuple[str, ...]: + """Component names allowed for this quantity.""" + return _COMPONENTS[self] + + @property + def unit(self) -> str: + """Unit the values of this quantity are given in.""" + return _UNITS[self] + + +_VOIGT_SUFFIXES = ("11", "22", "33", "23", "13", "12") # order of fatpy.utils.voigt +_COMPONENTS: dict[Quantity, tuple[str, ...]] = { + Quantity.STRESS: tuple(f"s{s}" for s in _VOIGT_SUFFIXES), + Quantity.STRAIN: tuple(f"e{s}" for s in _VOIGT_SUFFIXES), + Quantity.FORCE: ("Fx", "Fy", "Fz"), + Quantity.MOMENT: ("Mx", "My", "Mz"), +} +_UNITS: dict[Quantity, str] = { + Quantity.STRESS: "MPa", + Quantity.STRAIN: "mm/mm", + Quantity.FORCE: "N", + Quantity.MOMENT: "N*mm", +} +_VOIGT_INDEX: dict[str, int] = { + c: i for q in (Quantity.STRESS, Quantity.STRAIN) for i, c in enumerate(q.components) +} + + +def voigt_index(component: str) -> int | None: + """Position of a stress or strain component in a Voigt vector. + + Args: + component: Component name (e.g. ``s12``, ``e23``, ``Fx``). + + Returns: + 0..5 for the 11, 22, 33, 23, 13, 12 components, ``None`` for force + and moment components. + + Raises: + LoadDefinitionError: If `component` belongs to no quantity. + + Example: + >>> voigt_index("s12"), voigt_index("Fx") + (5, None) + """ + if component in _VOIGT_INDEX: + return _VOIGT_INDEX[component] + if component in Quantity.FORCE.components + Quantity.MOMENT.components: + return None + raise LoadDefinitionError(f"Unknown load component {component!r}") + + +def _read_only(values: ArrayLike) -> NDArray[np.float64]: + """Read-only float64 copy of `values`.""" + array = np.array(values, dtype=np.float64) + array.setflags(write=False) + return array + + +# -- sampling of periodic signals --------------------------------------------- + + +def _period_fraction(period: float) -> Fraction: + """Simplest fraction within `TIME_PRECISION` of `period`. + + Denominators 1, 10, ..., 1e9 are tried in turn; the last one always + matches, since it is a rounding to 1e-9. + """ + exact = Fraction(period) + for digits in range(_TIME_DIGITS + 1): + candidate = exact.limit_denominator(10**digits) + if abs(candidate - exact) <= TIME_PRECISION: + break + return candidate + + +def period_lcm(periods: Sequence[float]) -> float: + """Least common multiple of periods (the common period of the signals). + + Each period is replaced by the simplest `fractions.Fraction` within + `TIME_PRECISION` (1e-9 s), so the result is exact for decimal and + rational periods. + + Args: + periods: Periods [s]. + + Returns: + The least common multiple [s]. + + Raises: + LoadDefinitionError: If `periods` is empty or a period is not finite + and positive at `TIME_PRECISION`. + + Example: + >>> period_lcm([0.2, 0.3]), period_lcm([1 / 3, 0.5]) + (0.6, 1.0) + """ + if not periods: + raise LoadDefinitionError("At least one period is needed") + fractions = [] + for period in periods: + if not math.isfinite(period) or period <= 0.0: + raise LoadDefinitionError( + f"Periods must be finite and positive, got {period!r}" + ) + fraction = _period_fraction(period) + if fraction == 0: + raise LoadDefinitionError( + f"Period {period!r} s is below TIME_PRECISION ({TIME_PRECISION} s)" + ) + fractions.append(fraction) + numerator = math.lcm(*(f.numerator for f in fractions)) + denominator = math.gcd(*(f.denominator for f in fractions)) + return numerator / denominator + + +def _check_samples_per_period(samples_per_period: int, context: str) -> None: + """Raise unless `samples_per_period` is an integer >= 4.""" + if ( + not isinstance(samples_per_period, (int, np.integer)) + or samples_per_period < MIN_SAMPLES_PER_PERIOD + ): + raise LoadDefinitionError( + f"{context}samples_per_period must be an integer >= " + f"{MIN_SAMPLES_PER_PERIOD}, got {samples_per_period!r}" + ) + + +def common_time_axis( + signals: Sequence[Signal], + samples_per_period: int = DEFAULT_SAMPLES_PER_PERIOD, + max_cycles: float = MAX_CYCLE_IN_SHORTEST_PERIODS, +) -> NDArray[np.float64]: + """Time instants covering one common period of periodic signals. + + The axis spans the least common multiple of the periods, both ends + included, with `samples_per_period` equal steps in the shortest period. + The instants of the maximum and minimum of every sine and triangle signal + are added, so the extremes are sampled exactly. Non-periodic signals are + ignored. + + Args: + signals: Signals; at least one must be periodic. + samples_per_period: Number of time steps in the shortest period, an + integer, at least `MIN_SAMPLES_PER_PERIOD`. Default 72 (5° steps). + max_cycles: Maximum length of the common period, as a number of + shortest periods. + + Returns: + Sorted array of shape (n,), starting at 0 and ending at the common + period. Without peaks off the grid, ``n = cycle / dt + 1``. + + Raises: + LoadDefinitionError: If `samples_per_period` is too low, if no signal + is periodic, or if the common period exceeds `max_cycles` + shortest periods (nearly incommensurate periods). + + Example: + >>> from fatpy.utils.signal import ConstantAmplitudeSignal + >>> sine = ConstantAmplitudeSignal(1.0, frequency=1.0) + >>> common_time_axis([sine], samples_per_period=4).tolist() + [0.0, 0.25, 0.5, 0.75, 1.0] + """ + _check_samples_per_period(samples_per_period, "") + periods = [p for s in signals if (p := s.effective_period) is not None] + if not periods: + raise LoadDefinitionError("At least one periodic signal is needed") + cycle = period_lcm(periods) + shortest = min(periods) + if cycle > max_cycles * shortest: + raise LoadDefinitionError( + f"The common period of {periods} s is {cycle:g} s, more than " + f"{max_cycles:g} times the shortest period: the periods are nearly " + "incommensurate. Round the frequency ratio to a ratio of small " + "integers (e.g. 1:1.414 -> 5:7)." + ) + dt = shortest / samples_per_period + n = round(cycle / dt) + 1 + grid = np.arange(n, dtype=np.float64) * dt + peaks = [ + s.peak_instants(cycle) + for s in signals + if isinstance(s, ConstantAmplitudeSignal) + ] + time = np.sort(np.concatenate([*peaks, grid])) + # Peaks come first among equal instants (stable sort): keep the exact one. + keep = np.concatenate(([True], np.diff(time) > TIME_PRECISION)) + time = time[keep] + time[-1] = grid[-1] # a peak at the end is the end of the cycle + return time + + +def _signals_time_axis( + named: Sequence[tuple[str, Signal]], samples_per_period: int, context: str +) -> NDArray[np.float64]: + """Common time axis of named signals (see `LoadCase.time_axis`).""" + sampled = [ + (name, instants) for name, s in named if (instants := s.instants) is not None + ] + periodic = [name for name, s in named if s.effective_period is not None] + if sampled and periodic: + raise LoadDefinitionError( + f"{context} mixes periodic channels {periodic} with " + f"variable-amplitude channels {[n for n, _ in sampled]}" + ) + if sampled: + first_name, time = sampled[0] + for name, instants in sampled[1:]: + if instants.shape != time.shape or not np.allclose( + instants, time, rtol=0.0, atol=TIME_PRECISION + ): + raise LoadDefinitionError( + f"{context}: channel {name!r} does not share the time " + f"instants of channel {first_name!r}" + ) + return time.copy() + if periodic: + return common_time_axis([s for _, s in named], samples_per_period) + return np.zeros(1) + + +# -- A) function definition --------------------------------------------------- + + +@dataclass(frozen=True) +class Channel: + """One loaded component and its time signal. + + Attributes: + name: Channel name, not empty and unique within a load case. + quantity: Physical quantity of the channel. + component: Component of `quantity` (one of `Quantity.components`). + signal: Time signal of the channel, in the unit of `quantity`. + """ + + name: str + quantity: Quantity + component: str + signal: Signal + + def __post_init__(self) -> None: + """Check the name and that the component belongs to the quantity. + + Raises: + LoadDefinitionError: If `name` is empty or `component` is not a + component of `quantity`. + """ + if not self.name.strip(): + raise LoadDefinitionError( + f"Channel name must not be empty, got {self.name!r}" + ) + if self.component not in self.quantity.components: + raise LoadDefinitionError( + f"Channel {self.name!r}: {self.component!r} is not a " + f"{self.quantity.value} component {self.quantity.components}" + ) + + @property + def unit(self) -> str: + """Unit of the channel values.""" + return self.quantity.unit + + def evaluate(self, time: ArrayLike) -> NDArray[np.float64]: + """Channel values at the given time instants [s].""" + return self.signal.evaluate(time) + + +@dataclass(frozen=True, eq=False) +class ChannelHistory: + """Values of one channel sampled on the time axis of a `LoadHistory`. + + Attributes: + name: Channel name. + quantity: Physical quantity of the channel. + component: Component of `quantity`. + unit: Unit of `values`. + values: Sampled values, shape (n,), read-only. + """ + + name: str + quantity: Quantity + component: str + unit: str + values: NDArray[np.float64] + + def __post_init__(self) -> None: + """Store `values` as a read-only float64 array.""" + object.__setattr__(self, "values", _read_only(self.values)) + + +@dataclass(frozen=True, eq=False) +class LoadHistory: + """Sampled load case: the value vs time of every channel. + + Attributes: + time: Time instants [s], shape (n,), read-only. + channels: Sampled channels, in the order of the load case. + load_case_name: Name of the load case the history comes from. + is_sequence: ``True`` for a load sequence (values without a time + scale, `time` holds the indices 0, 1, 2, ...). + """ + + time: NDArray[np.float64] + channels: tuple[ChannelHistory, ...] + load_case_name: str + is_sequence: bool + + def __post_init__(self) -> None: + """Store `time` as a read-only float64 array and check the lengths. + + Raises: + LoadDefinitionError: If a channel does not have one value per + time instant. + """ + object.__setattr__(self, "time", _read_only(self.time)) + object.__setattr__(self, "channels", tuple(self.channels)) + for channel in self.channels: + if channel.values.shape != self.time.shape: + raise LoadDefinitionError( + f"Channel {channel.name!r} has {channel.values.shape} values " + f"for {self.time.shape} time instants" + ) + + def __len__(self) -> int: + """Number of time instants.""" + return int(self.time.size) + + def get(self, name: str) -> ChannelHistory: + """Sampled channel by name. + + Args: + name: Channel name. + + Returns: + The matching `ChannelHistory`. + + Raises: + KeyError: If there is no channel called `name`. + """ + for channel in self.channels: + if channel.name == name: + return channel + raise KeyError(f"No channel {name!r} in {[c.name for c in self.channels]}") + + def values_array(self) -> NDArray[np.float64]: + """Channel values as columns, shape (n, n_channels).""" + return np.column_stack([c.values for c in self.channels]) + + def to_table(self) -> dict[str, NDArray[np.float64]]: + """Columns keyed by ``"time [s]"`` and ``" []"``. + + Returns a plain dict (FatPy does not depend on pandas types); it can + be passed directly to ``pandas.DataFrame``. + """ + table = {f"time [{TIME_UNIT}]": self.time} + table.update({f"{c.name} [{c.unit}]": c.values for c in self.channels}) + return table + + def to_voigt_stress(self) -> NDArray[np.float64]: + """Stress history in Voigt notation, as used by FatPy methods. + + Each stress channel fills its Voigt column; missing components stay + zero. + + Returns: + Array of shape (n, 6) [MPa]. + + Raises: + LoadDefinitionError: If a channel is not a stress, or if two + channels give the same component. + """ + return self._to_voigt(Quantity.STRESS) + + def to_voigt_strain(self) -> NDArray[np.float64]: + """Strain history in Voigt notation, as used by FatPy methods. + + Each strain channel fills its Voigt column (e11 -> 0, ..., e12 -> 5); + missing components stay zero. Shear values are tensor strains + (ε_12 = γ_12 / 2), the convention of `fatpy.struct_mech.strain`. + + Returns: + Array of shape (n, 6) [mm/mm]. + + Raises: + LoadDefinitionError: If a channel is not a strain, or if two + channels give the same component. + """ + return self._to_voigt(Quantity.STRAIN) + + def _to_voigt(self, quantity: Quantity) -> NDArray[np.float64]: + """Fill a (n, 6) Voigt array from channels that must all be `quantity`.""" + array = np.zeros((len(self), voigt.VOIGT_COMPONENTS_COUNT)) + source: dict[int, str] = {} + for channel in self.channels: + if channel.quantity is not quantity: + raise LoadDefinitionError( + f"Channel {channel.name!r} is {channel.quantity.value} " + f"({channel.component!r}), it cannot enter a Voigt " + f"{quantity.value} array" + ) + index = _VOIGT_INDEX[channel.component] + if index in source: + raise LoadDefinitionError( + f"Component {channel.component!r} is given by both channels " + f"{source[index]!r} and {channel.name!r}" + ) + source[index] = channel.name + array[:, index] = channel.values + return array + + +@dataclass(frozen=True) +class LoadCase: + """Channels acting together on the component (a PragTic load regime). + + Attributes: + name: Load case name, not empty. + channels: Channels of the load case (stored as a tuple). + samples_per_period: Number of time steps in the shortest period of + the periodic channels, an integer, at least + `MIN_SAMPLES_PER_PERIOD`. Default 72 (5° steps). + """ + + name: str + channels: Sequence[Channel] + samples_per_period: int = DEFAULT_SAMPLES_PER_PERIOD + + def __post_init__(self) -> None: + """Store the channels as a tuple and validate the load case. + + Raises: + LoadDefinitionError: If the name is empty, if there is no + channel, if channel names are not unique, or if + `samples_per_period` is not an integer >= 4. + """ + object.__setattr__(self, "channels", tuple(self.channels)) + if not self.name.strip(): + raise LoadDefinitionError( + f"Load case name must not be empty, got {self.name!r}" + ) + if not self.channels: + raise LoadDefinitionError(f"Load case {self.name!r} has no channel") + names = [c.name for c in self.channels] + duplicates = sorted({n for n in names if names.count(n) > 1}) + if duplicates: + raise LoadDefinitionError( + f"Load case {self.name!r}: duplicate channel names {duplicates}" + ) + _check_samples_per_period(self.samples_per_period, f"Load case {self.name!r}: ") + + @property + def is_sequence(self) -> bool: + """``True`` if a variable-amplitude channel has no time scale.""" + return any( + isinstance(c.signal, VariableAmplitudeSignal) and c.signal.is_sequence + for c in self.channels + ) + + def time_axis(self) -> NDArray[np.float64]: + """Common time instants of all channels. + + - Periodic channels: one common period with the extremes of every + channel, see `common_time_axis`. + - Channels with their own instants (variable amplitude): their shared + instants. Static (``CONSTANT``) channels may be added; they keep + their value at every instant. + - Only static channels: the single instant ``[0.0]``. + + Returns: + Array of shape (n,) [s]. + + Raises: + LoadDefinitionError: If periodic channels are mixed with channels + that have their own instants, if the latter do not share the + same instants, or if the common period of the periodic + channels is too long (see `MAX_CYCLE_IN_SHORTEST_PERIODS`). + """ + return _signals_time_axis( + [(c.name, c.signal) for c in self.channels], + self.samples_per_period, + f"Load case {self.name!r}", + ) + + def history(self) -> LoadHistory: + """Sample every channel on the common time axis. + + Returns: + The sampled `LoadHistory`. + + Raises: + LoadDefinitionError: See `time_axis`, or if a channel signal + cannot be evaluated (the error names the channel). + """ + time = self.time_axis() + channels = [] + for c in self.channels: + try: + values = c.evaluate(time) + except SignalError as err: + raise LoadDefinitionError( + f"Load case {self.name!r}, channel {c.name!r}: {err}" + ) from err + channels.append( + ChannelHistory(c.name, c.quantity, c.component, c.unit, values) + ) + return LoadHistory(time, tuple(channels), self.name, self.is_sequence) + + +@dataclass(frozen=True) +class FEResultFile: + """One FE result file and how it enters a superposition. + + Attributes: + path: CSV file in the FatPy format. + factor: Multiplication factor: 1 for real FE results, the real load + for results under a unit load (1 N, 1 N*mm, 1 MPa). + signal: Optional time signal multiplying the results (unitless), for + a single-step unit load result, e.g. a sine for cyclic tension. + linear_elastic: ``True`` for a linear-elastic result (unit load): its + plastic strains are checked to be zero (see + `fatpy.data_parsing.fe_model.read_fe_csv`). + Required whenever the results are scaled (`factor` != 1 or a + `signal`), since only linear results can be scaled. + """ + + path: str | Path + factor: float = 1.0 + signal: Signal | None = None + linear_elastic: bool = False + + def __post_init__(self) -> None: + """Validate the factor and the scaling. + + Raises: + LoadDefinitionError: If `factor` is not finite, or if the results + are scaled without being declared linear-elastic. + """ + if not math.isfinite(self.factor): + raise LoadDefinitionError( + f"{self.path}: factor must be finite, got {self.factor!r}" + ) + if (self.factor != 1.0 or self.signal is not None) and not self.linear_elastic: + raise LoadDefinitionError( + f"{self.path}: scaling by a factor or a signal is only valid for " + "linear-elastic results; declare the file linear_elastic=True " + "(real elastic-plastic results are used with factor = 1)" + ) + + +def superpose( + files: Sequence[FEResultFile], + node_ids: Sequence[int] | None = None, + samples_per_period: int = DEFAULT_SAMPLES_PER_PERIOD, +) -> NodalResults: + """Scale FE result files and sum them (linear superposition). + + Each file contributes ``factor * signal(t) * results``. The time axis of + the sum is: + + - with signals: the common time axis of the signals (see + `LoadCase.time_axis`); files scaled by a signal must have one time + step (a unit load result); + - otherwise the time steps of the multi-step files, which must all be + the same. + + Files with one time step and no signal are static loads (e.g. a + preload): they are added at every time step. Elastic strain, plastic + strain and stress are all scaled and summed. + + Args: + files: Result files, at least one, with the same node ids and + coordinates. + node_ids: Nodes to load, all if ``None``. + samples_per_period: Time steps in the shortest period of periodic + signals (default 72). + + Returns: + The summed `NodalResults`. + + Raises: + LoadDefinitionError: If `files` is empty, or the signals have no + common time axis. + FEResultError: See `fatpy.data_parsing.fe_model.read_fe_csv`, or if + the files have different + nodes, coordinates or time steps, or a file scaled by a signal + has several time steps. + PlasticStrainError: See `fatpy.data_parsing.fe_model.read_fe_csv`. + """ + if not files: + raise LoadDefinitionError("At least one FE result file is needed") + results = [read_fe_csv(f.path, node_ids, f.linear_elastic) for f in files] + reference = results[0] + for other in results[1:]: + check_same_nodes(reference, other) + + signals = [(str(f.path), f.signal) for f in files if f.signal is not None] + for f, result in zip(files, results, strict=True): + if f.signal is not None and result.n_steps != 1: + raise FEResultError( + f"{f.path}: a file scaled by a signal must have one time step " + f"(a unit load result), got {result.n_steps}" + ) + stepped = [r for f, r in zip(files, results, strict=True) if r.n_steps > 1] + if signals: + time = _signals_time_axis(signals, samples_per_period, "Superposition") + elif stepped: + time = stepped[0].time + else: + time = reference.time + for result in stepped: + if result.time.shape != time.shape or not np.allclose( + result.time, time, rtol=0.0, atol=TIME_PRECISION + ): + raise FEResultError( + f"{result.source}: its {result.n_steps} time steps differ from " + f"the {time.size} time instants of the superposition" + ) + + shape = (reference.n_nodes, time.size, voigt.VOIGT_COMPONENTS_COUNT) + sums = {name: np.zeros(shape) for name in ("elastic", "plastic", "stress")} + for f, result in zip(files, results, strict=True): + scale = np.full(time.size, f.factor) + if f.signal is not None: + try: + scale = scale * f.signal.evaluate(time) + except SignalError as err: + raise LoadDefinitionError(f"{f.path}: {err}") from err + weight = scale[np.newaxis, :, np.newaxis] + sums["elastic"] += weight * result.elastic_strain + sums["plastic"] += weight * result.plastic_strain + sums["stress"] += weight * result.stress + + return NodalResults( + node_ids=reference.node_ids, + coordinates=reference.coordinates, + time=time, + elastic_strain=sums["elastic"], + plastic_strain=sums["plastic"], + stress=sums["stress"], + source=" + ".join(f"{f.factor:g} * {f.path}" for f in files), + ) diff --git a/src/fatpy/utils/signal.py b/src/fatpy/utils/signal.py index ddf12f6..63aa901 100644 --- a/src/fatpy/utils/signal.py +++ b/src/fatpy/utils/signal.py @@ -1,4 +1,594 @@ """Signal processing utilities module. This module provides various functions and classes for signal processing tasks. + +Overview: + A signal is the simplest load object: a unitless value vs time, without + any physical meaning (the quantity, component and unit are attached by + `fatpy.data_parsing.loads`). Two kinds of signals are provided: + + - `ConstantAmplitudeSignal`: periodic signal defined by its amplitude, + mean, waveform (sine, triangle, square), period (or frequency) and + phase. A ``CONSTANT`` waveform gives a time-independent (static) value. + - `VariableAmplitudeSignal`: values given at their own time instants, + never interpolated, for example a measured record read with + `VariableAmplitudeSignal.from_csv`. Without a time scale (no ``time`` + or ``time_step``) the values form a load sequence. + + Combining several signals (common period, sampling) is done where the + channels are combined, in `fatpy.data_parsing.loads`; a signal only + reports the instants of its extremes (`ConstantAmplitudeSignal. + peak_instants`) so that the sampling can hit them. + +Conventions: + - Time is in seconds (or load steps), frequency in Hz and phase in + degrees. + - Time instants are matched within `TIME_PRECISION` (1e-9 s). + - CSV files (`read_numeric_csv`) are comma separated, UTF-8, with one + header line of column names; every value is read as float64. + +Future work: + - PSD signal (random loading defined by a power spectral density), as a + new class following the `Signal` protocol. It provides its own time + instants through `Signal.instants`, so channels and load cases accept it + unchanged. """ + +import math +from collections.abc import Callable, Sequence +from dataclasses import dataclass, field +from enum import Enum +from pathlib import Path +from typing import Protocol + +import numpy as np +from numpy.typing import ArrayLike, NDArray + +#: Time resolution [s]: time instants are matched with it. +TIME_PRECISION = 1e-9 +# |sin(theta)| below this is a zero crossing of the square wave: theta = k*pi +# is not exactly representable, so sin(2*pi) is about -2.4e-16, not 0. +_SINE_ZERO = 1e-12 +# Number of lines given at once to numpy.loadtxt. +_CSV_CHUNK_LINES = 200_000 + + +class SignalError(ValueError): + """Raised when a signal is inconsistently defined or evaluated.""" + + +class CsvFormatError(ValueError): + """Raised when a CSV file does not have the expected format. + + The message names the file, and the line and column when they are known. + """ + + +class Waveform(Enum): + """Shape of one period of a constant-amplitude signal.""" + + SINE = "sine" + TRIANGLE = "triangle" + SQUARE = "square" + CONSTANT = "constant" + + +def waveform_shape(waveform: Waveform, theta: ArrayLike) -> NDArray[np.float64]: + r"""Normalized waveform value, in [-1, 1], at the phase angle `theta`. + + ??? abstract "Math Equations" + $$ + f(\theta) = + \begin{cases} + \sin\theta & \text{SINE} \\ + \frac{2}{\pi}\arcsin(\sin\theta) & \text{TRIANGLE} \\ + +1 \text{ if } \sin\theta \ge 0 \text{ else } -1 & \text{SQUARE} \\ + 0 & \text{CONSTANT} + \end{cases} + $$ + + For ``SQUARE``, ``|sin θ| < 1e-12`` counts as zero (value +1), so a cycle + starts and ends on the same value. + + Args: + waveform: Shape of the signal. + theta: Phase angle [rad], any shape. + + Returns: + Array of the same shape as `theta`. + + Example: + >>> waveform_shape(Waveform.TRIANGLE, [0.0, np.pi / 2]).tolist() + [0.0, 1.0] + """ + angle = np.asarray(theta, dtype=np.float64) + match waveform: + case Waveform.SINE: + return np.sin(angle) + case Waveform.TRIANGLE: + return (2.0 / np.pi) * np.arcsin(np.clip(np.sin(angle), -1.0, 1.0)) + case Waveform.SQUARE: + sine = np.sin(angle) + return np.where((sine >= 0.0) | (np.abs(sine) < _SINE_ZERO), 1.0, -1.0) + case Waveform.CONSTANT: + return np.zeros_like(angle) + + +class Signal(Protocol): + """Interface shared by all signals.""" + + def evaluate(self, time: ArrayLike) -> NDArray[np.float64]: + """Signal values at the given time instants [s].""" + ... + + @property + def effective_period(self) -> float | None: + """Period [s] of a periodic signal, ``None`` for a non-periodic one.""" + ... + + @property + def instants(self) -> NDArray[np.float64] | None: + """Own time instants [s], ``None`` if any instant can be evaluated.""" + ... + + +def _check_finite(**parameters: float | None) -> None: + """Raise `SignalError` naming the first parameter that is NaN or inf.""" + for name, value in parameters.items(): + if value is not None and not math.isfinite(value): + raise SignalError(f"{name} must be finite, got {value!r}") + + +def _finite_read_only(name: str, data: ArrayLike) -> NDArray[np.float64]: + """Finite, read-only float64 copy of `data`. + + Raises: + SignalError: If `data` contains NaN or inf. + """ + array = np.array(data, dtype=np.float64) + bad = np.flatnonzero(~np.isfinite(array)) + if bad.size: + raise SignalError( + f"{name} must be finite, got {array.flat[bad[0]]!r} at index {bad[0]}" + ) + array.setflags(write=False) + return array + + +@dataclass(frozen=True) +class ConstantAmplitudeSignal: + r"""Periodic signal with constant amplitude and mean. + + ??? abstract "Math Equations" + $$ x(t) = x_m + x_a \, f\!\left(\frac{2\pi t}{T} + + \frac{\pi \varphi}{180}\right) $$ + + with $f$ the normalized waveform (see `waveform_shape`). + + Attributes: + amplitude: Amplitude $x_a \ge 0$. + mean: Mean value $x_m$. + waveform: Shape of one period. + period: Period $T$ [s]. Exactly one of `period` and `frequency` is + given, none for a ``CONSTANT`` waveform. + frequency: Frequency $1/T$ [Hz]. + phase: Phase shift $\varphi$ [deg]. + + Example: + >>> sig = ConstantAmplitudeSignal(200.0, 50.0, frequency=1.0) + >>> sig.evaluate([0.0, 0.25, 0.75]).tolist() + [50.0, 250.0, -150.0] + """ + + amplitude: float = 0.0 + mean: float = 0.0 + waveform: Waveform = Waveform.SINE + period: float | None = None + frequency: float | None = None + phase: float = 0.0 + + def __post_init__(self) -> None: + """Validate the parameters. + + Raises: + SignalError: If a parameter is not finite, if the amplitude is + negative, if a ``CONSTANT`` waveform has a period, a frequency + or a non-zero amplitude, or if another waveform does not have + exactly one positive period or frequency. + """ + _check_finite( + amplitude=self.amplitude, + mean=self.mean, + phase=self.phase, + period=self.period, + frequency=self.frequency, + ) + if self.amplitude < 0.0: + raise SignalError(f"amplitude must be >= 0, got {self.amplitude!r}") + if self.waveform is Waveform.CONSTANT: + if self.period is not None or self.frequency is not None: + raise SignalError( + "A CONSTANT waveform has no period or frequency, got " + f"period={self.period!r}, frequency={self.frequency!r}" + ) + if self.amplitude != 0.0: + raise SignalError( + "A CONSTANT waveform requires amplitude = 0, " + f"got {self.amplitude!r}" + ) + return + if (self.period is None) == (self.frequency is None): + raise SignalError( + "Exactly one of period or frequency must be given, got " + f"period={self.period!r}, frequency={self.frequency!r}" + ) + for name, value in (("period", self.period), ("frequency", self.frequency)): + if value is not None and value <= 0.0: + raise SignalError(f"{name} must be positive, got {value!r}") + + @property + def effective_period(self) -> float | None: + """Period [s], ``None`` for a ``CONSTANT`` waveform.""" + if self.period is not None: + return self.period + if self.frequency is not None: + return 1.0 / self.frequency + return None + + @property + def instants(self) -> None: + """Always ``None``: the signal can be evaluated at any instant.""" + return None + + def evaluate(self, time: ArrayLike) -> NDArray[np.float64]: + """Signal values at the given time instants. + + Args: + time: Time instants [s], any shape. + + Returns: + Array of the same shape as `time`. + """ + t = np.asarray(time, dtype=np.float64) + period = self.effective_period + if period is None: + return np.full_like(t, self.mean) + theta = 2.0 * np.pi * t / period + np.deg2rad(self.phase) + return self.mean + self.amplitude * waveform_shape(self.waveform, theta) + + def peak_instants(self, duration: float) -> NDArray[np.float64]: + r"""Instants of the maxima and minima in ``[0, duration]``. + + Sine and triangle waves reach their maximum at + $\theta = \pi/2 + 2k\pi$ and their minimum at $\theta = 3\pi/2 + + 2k\pi$, i.e. at $t = T(1/4 - \varphi/360) + kT$ and + $t = T(3/4 - \varphi/360) + kT$. A time axis containing these + instants samples the exact extremes of the signal, whatever the + phase and the number of samples per period. + + A ``SQUARE`` wave is flat between its jumps and a ``CONSTANT`` one + never changes: any sample hits their extremes, so none is returned. + + Args: + duration: End of the time interval [s], >= 0. + + Returns: + Sorted array of shape (k,), empty for ``SQUARE`` and ``CONSTANT``. + + Example: + >>> sig = ConstantAmplitudeSignal(1.0, period=1.0, phase=90.0) + >>> sig.peak_instants(1.0).tolist() + [0.0, 0.5, 1.0] + """ + period = self.effective_period + if period is None or self.waveform not in (Waveform.SINE, Waveform.TRIANGLE): + return np.empty(0) + instants = [] + for quarter in (0.25, 0.75): + first = (period * (quarter - self.phase / 360.0)) % period + if first > period - TIME_PRECISION: # rounding of an instant at 0 + first = 0.0 + count = math.floor((duration - first + TIME_PRECISION) / period) + 1 + instants.append(first + period * np.arange(max(count, 0))) + return np.sort(np.concatenate(instants)) + + +@dataclass(frozen=True, eq=False) +class VariableAmplitudeSignal: + """Signal defined by its values at its own time instants. + + The signal is not interpolated: it can only be evaluated at its own + instants (see `instants`). Without `time` and `time_step` the values have + no time scale and form a load sequence (see `is_sequence`). + + Attributes: + values: Signal values, shape (n,) with n >= 2, finite, read-only. + time: Time instants [s], finite, strictly increasing, shape (n,), + read-only. + time_step: Constant time step [s], used if `time` is not given. + instants: Resolved time instants, read-only: `time`, or + ``arange(n) * time_step``, or the indices ``0, 1, 2, ...`` of a + load sequence. + """ + + values: NDArray[np.float64] + time: NDArray[np.float64] | None = None + time_step: float | None = None + instants: NDArray[np.float64] = field(init=False, repr=False) + + def __post_init__(self) -> None: + """Store read-only float64 arrays and resolve the time instants. + + Raises: + SignalError: If values are not 1D with at least two entries, if + values or time contain NaN or inf, if both `time` and + `time_step` are given, if `time` does not match `values` or + is not strictly increasing, or if `time_step` is not finite + and positive. + """ + values = _finite_read_only("values", self.values) + if values.ndim != 1 or values.size < 2: + raise SignalError( + f"values must be 1D with at least two entries, got shape {values.shape}" + ) + object.__setattr__(self, "values", values) + + if self.time is not None and self.time_step is not None: + raise SignalError( + "Give either time or time_step, not both, got " + f"time_step={self.time_step!r}" + ) + if self.time is not None: + instants = _finite_read_only("time", self.time) + if instants.shape != values.shape: + raise SignalError( + f"time and values must have the same shape, got " + f"{instants.shape} and {values.shape}" + ) + steps = np.diff(instants) + if np.any(steps <= 0.0): + i = int(np.argmax(steps <= 0.0)) + raise SignalError( + "time must be strictly increasing, got " + f"{instants[i]!r} then {instants[i + 1]!r} at index {i + 1}" + ) + object.__setattr__(self, "time", instants) + else: + if self.time_step is not None and ( + not math.isfinite(self.time_step) or self.time_step <= 0.0 + ): + raise SignalError( + f"time_step must be finite and positive, got {self.time_step!r}" + ) + step = 1.0 if self.time_step is None else self.time_step + instants = np.arange(values.size, dtype=np.float64) * step + instants.setflags(write=False) + object.__setattr__(self, "instants", instants) + + @classmethod + def from_csv( + cls, + path: str | Path, + value_column: str, + time_column: str | None = None, + time_step: float | None = None, + ) -> "VariableAmplitudeSignal": + """Read a measured record from a CSV file. + + The file has one header line with the column names (see + `read_numeric_csv`); other columns are ignored. Without a time + column the row order gives the instants, ``arange(n) * time_step`` + (or a load sequence without `time_step`). + + Example file (``value_column="F"``, ``time_column="t"``):: + + t,F + 0.0,0.0 + 0.1,5000.0 + 0.2,-2000.0 + + Args: + path: CSV file. + value_column: Name of the column holding the signal values. + time_column: Name of the column holding the time instants [s]. + time_step: Constant time step [s], only without `time_column`. + + Returns: + The signal, in the order of the file rows. + + Raises: + CsvFormatError: If the file cannot be read as numbers, or a + column is missing (the message names the file, line and + column). + SignalError: If both `time_column` and `time_step` are given, or + the values do not form a valid signal (see the class). + """ + if time_column is not None and time_step is not None: + raise SignalError( + "Give either time_column or time_step, not both, got " + f"time_step={time_step!r}" + ) + table = read_numeric_csv(path) + names = [value_column] if time_column is None else [value_column, time_column] + for name in names: + if name not in table.header: + raise CsvFormatError( + f"{path}: no column {name!r}, the columns are {list(table.header)}" + ) + columns = [table.header.index(n) for n in names] + table.check_finite(columns) + values = table.data[:, columns[0]] + try: + if time_column is None: + return cls(values, time_step=time_step) + return cls(values, time=table.data[:, columns[1]]) + except SignalError as err: + raise SignalError(f"{path}: {err}") from err + + @property + def effective_period(self) -> float | None: + """Always ``None``: the signal is not periodic.""" + return None + + @property + def is_sequence(self) -> bool: + """``True`` for a load sequence: neither `time` nor `time_step` given.""" + return self.time is None and self.time_step is None + + @property + def duration(self) -> float: + """Last instant minus first instant [s] (number of steps for a sequence).""" + return float(self.instants[-1] - self.instants[0]) + + def evaluate(self, time: ArrayLike) -> NDArray[np.float64]: + """Signal values at some of its own time instants. + + Args: + time: Time instants [s], any shape; each must match one of + `instants` within `TIME_PRECISION`. + + Returns: + Array of the same shape as `time`. + + Raises: + SignalError: If a requested instant is not one of `instants` + (the signal is never interpolated). + """ + t = np.asarray(time, dtype=np.float64) + known = self.instants + right = np.clip(np.searchsorted(known, t), 1, known.size - 1) + index = np.where(t - known[right - 1] < known[right] - t, right - 1, right) + off = np.abs(known[index] - t) > TIME_PRECISION + if np.any(off): + raise SignalError( + f"Instant {float(t[off].flat[0])!r} s is not one of the signal " + "instants (no interpolation)" + ) + return self.values[index] + + +# -- CSV reading -------------------------------------------------------------- + + +@dataclass(frozen=True, eq=False) +class CsvTable: + """Numeric content of a CSV file. + + Attributes: + path: The file read. + header: Column names of the header line, stripped of spaces. + data: Values, float64, shape (n_rows, n_columns), read-only. + lines: Line number in the file of each row (header = line 1), shape + (n_rows,), read-only. + """ + + path: str + header: tuple[str, ...] + data: NDArray[np.float64] + lines: NDArray[np.int64] + + def check_finite(self, columns: Sequence[int] | None = None) -> None: + """Raise on the first NaN or inf value, naming its line and column. + + Args: + columns: Indices of the columns to check, all if ``None``. + + Raises: + CsvFormatError: If a checked value is NaN or inf. + """ + selected = list(range(len(self.header))) if columns is None else list(columns) + bad = np.argwhere(~np.isfinite(self.data[:, selected])) + if bad.size: + row, col = int(bad[0, 0]), selected[int(bad[0, 1])] + raise CsvFormatError( + f"{self.path}, line {int(self.lines[row])}, column " + f"{self.header[col]!r}: value is {float(self.data[row, col])!r}, " + "every value must be finite" + ) + + +def _locate_bad_value(path: str, header: tuple[str, ...], text: str, line: int) -> str: + """Describe what makes one CSV line unreadable as numbers.""" + fields = text.rstrip("\r\n").split(",") + if len(fields) != len(header): + return ( + f"{path}, line {line}: {len(fields)} values for the {len(header)} " + f"columns {list(header)}" + ) + for name, value in zip(header, fields, strict=True): + try: + float(value) + except ValueError: + return f"{path}, line {line}, column {name!r}: non-numeric value {value!r}" + return "" + + +def _parse_chunk( + path: str, header: tuple[str, ...], texts: list[str], lines: list[int] +) -> NDArray[np.float64]: + """Parse lines of a CSV file as float64, with a precise error message.""" + try: + return np.loadtxt( + texts, delimiter=",", dtype=np.float64, ndmin=2, comments=None + ).reshape(len(texts), len(header)) + except ValueError as err: + for text, line in zip(texts, lines, strict=True): + message = _locate_bad_value(path, header, text, line) + if message: + raise CsvFormatError(message) from err + raise CsvFormatError(f"{path}: {err}") from err # pragma: no cover + + +def read_numeric_csv( + path: str | Path, keep: Callable[[str], bool] | None = None +) -> CsvTable: + """Read a comma-separated file of numbers with one header line. + + Every value is read as float64 (``nan`` and ``inf`` are accepted here, + see `CsvTable.check_finite`). Blank lines are skipped. The file is read + in chunks, so `keep` can drop rows before they are converted, e.g. to + load a subset of a large file. + + Args: + path: CSV file, UTF-8 (a byte order mark is accepted). + keep: Called with the text of each data line; the line is kept if it + returns ``True``. All lines are kept if ``None``. + + Returns: + The `CsvTable` (possibly with zero rows). + + Raises: + CsvFormatError: If the file has no header line or empty column names, + if a line does not have one value per column, or if a value is + not a number (the message names the file, line and column). + """ + name = str(path) + with open(path, encoding="utf-8-sig") as file: + first = file.readline() + header = tuple(c.strip() for c in first.strip().split(",")) + if not first.strip() or not all(header): + raise CsvFormatError( + f"{name}, line 1: expected a header of column names, got " + f"{first.strip()!r}" + ) + chunks: list[NDArray[np.float64]] = [np.empty((0, len(header)))] + line_numbers: list[int] = [] + texts: list[str] = [] + chunk_lines: list[int] = [] + for line, text in enumerate(file, start=2): + if not text.strip() or (keep is not None and not keep(text)): + continue + texts.append(text) + chunk_lines.append(line) + if len(texts) == _CSV_CHUNK_LINES: + chunks.append(_parse_chunk(name, header, texts, chunk_lines)) + line_numbers += chunk_lines + texts, chunk_lines = [], [] + if texts: + chunks.append(_parse_chunk(name, header, texts, chunk_lines)) + line_numbers += chunk_lines + data = np.concatenate(chunks) + lines = np.array(line_numbers, dtype=np.int64) + data.setflags(write=False) + lines.setflags(write=False) + return CsvTable(name, header, data, lines) diff --git a/tests/data_parsing/fe_csv_data.py b/tests/data_parsing/fe_csv_data.py new file mode 100644 index 0000000..df962fe --- /dev/null +++ b/tests/data_parsing/fe_csv_data.py @@ -0,0 +1,65 @@ +"""Synthetic FE result files in the FatPy CSV format, shared by the tests.""" + +from pathlib import Path + +import numpy as np +from numpy.typing import NDArray + +from fatpy.data_parsing.fe_model import FE_CSV_COLUMNS + +NODES = (3, 1, 2) +TIMES = (0.0, 1.0, 2.0) + + +def coords(node: float) -> list[float]: + """Coordinates [mm] of a synthetic node.""" + return [10.0 * node, float(node), 0.5] + + +def fe_table( + nodes: tuple[int, ...] = NODES, + times: tuple[float, ...] = TIMES, + stress: tuple[float, ...] | None = None, +) -> NDArray[np.float64]: + """Rows of a synthetic FE result file, in the file order. + + Stress = node * 100 + step * 10 + [0, 1, ..., 5] MPa unless `stress` + (multiplied by the node id) is given; elastic strain = stress * 1e-5; + plastic strain = 0. + """ + rows = [] + for node in nodes: + for step, time in enumerate(times): + if stress is None: + s = node * 100.0 + step * 10.0 + np.arange(6.0) + else: + s = node * np.array(stress) + rows.append([node, *coords(node), time, *(s * 1e-5), *np.zeros(6), *s]) + return np.array(rows) + + +def fe_lines(table: NDArray[np.float64]) -> list[str]: + """CSV lines (header first) of a table.""" + lines = [",".join(FE_CSV_COLUMNS)] + for row in table: + lines.append(",".join([str(int(row[0]))] + [repr(float(v)) for v in row[1:]])) + return lines + + +def write_lines(path: Path, lines: list[str]) -> Path: + """Write CSV lines to `path`.""" + path.write_text("\n".join(lines) + "\n", encoding="utf-8") + return path + + +def write_fe(path: Path, table: NDArray[np.float64]) -> Path: + """Write a synthetic FE result file.""" + return write_lines(path, fe_lines(table)) + + +def set_cell(lines: list[str], line: int, column: str, text: str) -> list[str]: + """Replace one value; `line` is the 1-based line number in the file.""" + fields = lines[line - 1].split(",") + fields[FE_CSV_COLUMNS.index(column)] = text + lines[line - 1] = ",".join(fields) + return lines diff --git a/tests/data_parsing/test_fe_model.py b/tests/data_parsing/test_fe_model.py new file mode 100644 index 0000000..469750f --- /dev/null +++ b/tests/data_parsing/test_fe_model.py @@ -0,0 +1,293 @@ +"""Test functions for the FE model parsing module. + +Covers the FatPy CSV reader (shapes, sorting, node subsets, shear strain +convention), every format error (header, values, duplicates, missing rows, +node ids, coordinates), the linear-elastic plastic strain check, the node +comparison used by superposition and the module documentation. +""" + +from pathlib import Path + +import numpy as np +import pytest +from fe_csv_data import ( # tests/data_parsing/fe_csv_data.py + NODES, + TIMES, + coords, + fe_lines, + fe_table, + set_cell, + write_fe, + write_lines, +) + +from fatpy.data_parsing import fe_model +from fatpy.data_parsing.fe_model import ( + FE_CSV_COLUMNS, + PLASTIC_STRAIN_TOLERANCE, + FEResultError, + NodalResults, + PlasticStrainError, + check_same_nodes, + read_fe_csv, +) +from fatpy.utils import voigt + +RTOL = 1e-9 + + +def test_read_fe_csv_shapes_sorting_and_values(tmp_path: Path) -> None: + """Rows in any order give (n_nodes, n_steps, 6) arrays sorted by node.""" + table = fe_table() + shuffled = table[np.random.default_rng(0).permutation(len(table))] + results = read_fe_csv(write_fe(tmp_path / "fe.csv", shuffled)) + np.testing.assert_array_equal(results.node_ids, [1, 2, 3]) + np.testing.assert_array_equal(results.time, TIMES) + assert (results.n_nodes, results.n_steps) == (3, 3) + assert results.stress.shape == (3, 3, 6) + for i, node in enumerate((1, 2, 3)): + np.testing.assert_array_equal(results.coordinates[i], coords(node)) + for step in range(3): + expected = node * 100.0 + step * 10.0 + np.arange(6.0) + np.testing.assert_allclose(results.stress[i, step], expected, rtol=RTOL) + np.testing.assert_allclose( + results.elastic_strain[i, step], expected * 1e-5, rtol=RTOL + ) + np.testing.assert_array_equal(results.plastic_strain, 0.0) + np.testing.assert_array_equal(results.total_strain, results.elastic_strain) + assert results.source.endswith("fe.csv") + for array in (results.stress, results.coordinates, results.node_ids): + with pytest.raises(ValueError, match="read-only"): + array.flat[0] = 0 + + +def test_one_node_history(tmp_path: Path) -> None: + """at_node gives (n_steps, 6) Voigt arrays ready for the criteria.""" + results = read_fe_csv(write_fe(tmp_path / "fe.csv", fe_table())) + node = results.at_node(2) + assert node.node_id == 2 + assert node.stress.shape == (3, 6) + np.testing.assert_array_equal(node.coordinates, coords(2)) + np.testing.assert_array_equal(node.stress, results.stress[1]) + np.testing.assert_array_equal(node.total_strain, node.elastic_strain) + np.testing.assert_array_equal(node.plastic_strain, 0.0) + np.testing.assert_array_equal(node.time, TIMES) + voigt.check_shape(node.stress) + with pytest.raises(KeyError, match="No node 9"): + results.at_node(9) + + +def test_shear_strains_are_read_as_tensor_components(tmp_path: Path) -> None: + """EE12 is ε_12 (tensor): it is stored unchanged and is the tensor term.""" + table = fe_table(nodes=(1,), times=(0.0,)) + table[0, FE_CSV_COLUMNS.index("EE12")] = 3e-4 + results = read_fe_csv(write_fe(tmp_path / "fe.csv", table)) + assert results.elastic_strain[0, 0, 5] == 3e-4 + tensor = voigt.voigt_to_tensor(results.elastic_strain[0, 0]) + assert tensor[0, 1] == tensor[1, 0] == 3e-4 + + +def test_read_fe_csv_node_subset(tmp_path: Path) -> None: + """Only the requested nodes are loaded.""" + path = write_fe(tmp_path / "fe.csv", fe_table()) + results = read_fe_csv(path, node_ids=[3, 1]) + np.testing.assert_array_equal(results.node_ids, [1, 3]) + np.testing.assert_allclose(results.stress[1, 0, 0], 300.0) + + +def test_node_subset_ignores_bad_rows_of_other_nodes(tmp_path: Path) -> None: + """NaN in rows of nodes that are not loaded is not reported.""" + lines = set_cell(fe_lines(fe_table()), 2, "S11", "nan") # node 3 + results = read_fe_csv(write_lines(tmp_path / "fe.csv", lines), node_ids=[1]) + np.testing.assert_array_equal(results.node_ids, [1]) + + +def test_node_subset_missing_node_raises(tmp_path: Path) -> None: + """A requested node that is not in the file is named.""" + path = write_fe(tmp_path / "fe.csv", fe_table()) + with pytest.raises(FEResultError, match=r"fe\.csv: node ids \[9\] are not"): + read_fe_csv(path, node_ids=[1, 9]) + with pytest.raises(FEResultError, match=r"no data row for the node ids \[8\]"): + read_fe_csv(path, node_ids=[8]) + + +def test_header_only_raises(tmp_path: Path) -> None: + """A file without data rows.""" + path = write_lines(tmp_path / "fe.csv", [",".join(FE_CSV_COLUMNS)]) + with pytest.raises(FEResultError, match=r"fe\.csv: no data row"): + read_fe_csv(path) + + +def header_with(change: str) -> list[str]: + """FE header with one modification.""" + header = list(FE_CSV_COLUMNS) + if change == "missing": + header.remove("PE12") + elif change == "extra": + header.append("extra") + elif change == "order": + header[8], header[9] = header[9], header[8] + elif change == "repeated": + header[header.index("PE12")] = "PE11" + return header + + +@pytest.mark.parametrize( + ("change", "message"), + [ + ("missing", r"missing column\(s\) \['PE12'\]"), + ("extra", r"unexpected column\(s\) \['extra'\]"), + ("order", r"wrong column order: column 9 is 'EE13', expected 'EE23'"), + ( + "repeated", + r"missing column\(s\) \['PE12'\]; repeated column\(s\) \['PE11'\]", + ), + ], +) +def test_header_errors(tmp_path: Path, change: str, message: str) -> None: + """Missing, extra, repeated or out-of-order columns name the problem.""" + lines = fe_lines(fe_table()) + lines[0] = ",".join(header_with(change)) + path = write_lines(tmp_path / "fe.csv", lines) + with pytest.raises(FEResultError, match=r"fe\.csv, line 1: " + message) as info: + read_fe_csv(path) + assert ",".join(FE_CSV_COLUMNS) in str(info.value) + + +def test_header_with_spaces_and_bom_is_accepted(tmp_path: Path) -> None: + """Spaces around the names and a UTF-8 byte order mark are accepted.""" + lines = fe_lines(fe_table()) + lines[0] = "" + ", ".join(FE_CSV_COLUMNS) + assert read_fe_csv(write_lines(tmp_path / "fe.csv", lines)).n_nodes == 3 + + +@pytest.mark.parametrize( + ("text", "message"), + [ + ("abc", r"line 3, column 'S22': non-numeric value 'abc'"), + ("nan", r"line 3, column 'S22': value is nan"), + ("", r"line 3, column 'S22': non-numeric value ''"), + ("inf", r"line 3, column 'S22': value is inf"), + ], +) +def test_bad_value_names_file_line_and_column( + tmp_path: Path, text: str, message: str +) -> None: + """Non-numeric, empty, NaN and inf values are located.""" + lines = set_cell(fe_lines(fe_table()), 3, "S22", text) + with pytest.raises(FEResultError, match=r"fe\.csv, " + message): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_wrong_number_of_values_raises(tmp_path: Path) -> None: + """A row with a missing or an extra value.""" + lines = fe_lines(fe_table()) + lines[3] = lines[3].rsplit(",", 1)[0] + with pytest.raises(FEResultError, match=r"line 4: 22 values for the 23 columns"): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_duplicate_node_time_raises(tmp_path: Path) -> None: + """A repeated (node_id, time) pair names both lines.""" + lines = fe_lines(fe_table()) + lines.append(lines[1]) # node 3, time 0 again, line 11 + with pytest.raises( + FEResultError, match=r"lines 2 and 11: duplicate row for node 3 at time 0" + ): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_missing_row_raises(tmp_path: Path) -> None: + """Every node needs a row at every time step.""" + lines = fe_lines(fe_table()) + del lines[5] # node 1, time 1 + with pytest.raises(FEResultError, match=r"node 1 has no row at time 1 "): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_non_integer_node_id_raises(tmp_path: Path) -> None: + """node_id must be an integer.""" + lines = set_cell(fe_lines(fe_table()), 4, "node_id", "3.5") + with pytest.raises( + FEResultError, match=r"line 4, column 'node_id': node ids must be integers" + ): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_moving_coordinates_raise(tmp_path: Path) -> None: + """The coordinates of a node must be the same at every time step.""" + lines = set_cell(fe_lines(fe_table()), 4, "x", "30.1") # node 3, time 2 + with pytest.raises( + FEResultError, match=r"line 4: coordinates of node 3 differ from line 2 by 0.1" + ): + read_fe_csv(write_lines(tmp_path / "fe.csv", lines)) + + +def test_linear_elastic_check_tolerance(tmp_path: Path) -> None: + """|PE| <= 1e-12 is accepted as zero in a linear-elastic file.""" + lines = set_cell(fe_lines(fe_table()), 5, "PE11", "-1e-12") + lines = set_cell(lines, 6, "PE23", "5e-13") + results = read_fe_csv(write_lines(tmp_path / "fe.csv", lines), linear_elastic=True) + assert np.abs(results.plastic_strain).max() == PLASTIC_STRAIN_TOLERANCE + + +def test_linear_elastic_check_reports_plastic_strain(tmp_path: Path) -> None: + """Plastic strain in a linear-elastic file names node, step and line.""" + lines = set_cell(fe_lines(fe_table()), 7, "PE12", "2e-5") # node 1, time 2 + lines = set_cell(lines, 9, "PE11", "3e-5") + path = write_lines(tmp_path / "fe.csv", lines) + with pytest.raises( + PlasticStrainError, + match=r"fe\.csv, line 7: plastic strain PE12 = 2\.000e-05 at node 1, " + r"time 2 \(\|PE\| > 1e-12\): is this simulation really linear elastic\?", + ): + read_fe_csv(path, linear_elastic=True) + plastic = read_fe_csv(path) # elastic-plastic results are accepted + assert plastic.plastic_strain[0, 2, 5] == 2e-5 + np.testing.assert_allclose( + plastic.total_strain[0, 2, 5], plastic.elastic_strain[0, 2, 5] + 2e-5 + ) + + +def test_fe_errors_are_value_errors() -> None: + """Every FE error can be caught as a FEResultError / ValueError.""" + assert issubclass(PlasticStrainError, FEResultError) + assert issubclass(FEResultError, ValueError) + + +def test_nodal_results_validation() -> None: + """Inconsistent shapes and repeated node ids are refused.""" + zeros = np.zeros((2, 3, 6)) + with pytest.raises(FEResultError, match=r"stress has shape \(2, 2, 6\)"): + NodalResults( + np.array([1, 2]), np.zeros((2, 3)), np.zeros(3), zeros, zeros, zeros[:, :2] + ) + with pytest.raises(FEResultError, match="not unique"): + NodalResults( + np.array([1, 1]), np.zeros((2, 3)), np.zeros(3), zeros, zeros, zeros + ) + + +def test_check_same_nodes(tmp_path: Path) -> None: + """Same mesh passes; other nodes or moved coordinates are named.""" + reference = read_fe_csv(write_fe(tmp_path / "a.csv", fe_table())) + check_same_nodes(reference, read_fe_csv(write_fe(tmp_path / "b.csv", fe_table()))) + other = read_fe_csv(write_fe(tmp_path / "c.csv", fe_table(nodes=(1, 2, 4)))) + with pytest.raises(FEResultError, match=r"only in .*c\.csv: \[4\]"): + check_same_nodes(reference, other) + lines = fe_lines(fe_table()) + for line in (2, 3, 4): # node 3 at its three time steps + lines = set_cell(lines, line, "y", "3.5") + moved = read_fe_csv(write_lines(tmp_path / "d.csv", lines)) + with pytest.raises(FEResultError, match=r"coordinates of node 3 differ by 0\.5"): + check_same_nodes(reference, moved) + + +def test_module_docstring_documents_the_format() -> None: + """The module documents units, Voigt order, shear convention, columns.""" + doc = fe_model.__doc__ or "" + for item in ("N and mm", "MPa", "Voigt order", "tensor", "engineering"): + assert item in doc + assert ",".join(FE_CSV_COLUMNS) in doc + assert "Element and integration point" in doc + assert NODES and TIMES # shared synthetic data is importable diff --git a/tests/data_parsing/test_loads.py b/tests/data_parsing/test_loads.py new file mode 100644 index 0000000..a608c01 --- /dev/null +++ b/tests/data_parsing/test_loads.py @@ -0,0 +1,922 @@ +"""Test functions for the load definition module. + +Covers the 7 reference load cases (tension, torsion, in-phase and +out-of-phase combined loading, mean stress, different frequencies, force +history), their strain versions, the sampling of periodic channels (common +period, 72 points per shortest period, exact extremes), the Voigt export, the +superposition of FE results and the error conditions. +""" + +import dataclasses +from pathlib import Path + +import numpy as np +import pytest +from numpy.typing import ArrayLike, NDArray + +from fatpy.data_parsing import loads +from fatpy.data_parsing.loads import ( + DEFAULT_SAMPLES_PER_PERIOD, + Channel, + ChannelHistory, + FEResultFile, + LoadCase, + LoadDefinitionError, + LoadHistory, + Quantity, + common_time_axis, + period_lcm, + superpose, + voigt_index, +) +from fatpy.data_parsing.fe_model import ( + FEResultError, + PlasticStrainError, + read_fe_csv, +) +from fatpy.utils import voigt +from fatpy.utils.signal import ( + ConstantAmplitudeSignal, + SignalError, + VariableAmplitudeSignal, + Waveform, +) + +from fe_csv_data import ( # tests/data_parsing/fe_csv_data.py + TIMES, + fe_lines, + fe_table, + set_cell, + write_fe, + write_lines, +) + +RTOL = 1e-9 +ATOL = 1e-9 # absolute tolerance for values that should be zero +STRAIN_SCALE = 1e-5 # mm/mm per MPa, to rebuild the stress cases as strains + + +def build_case(number: int, quantity: Quantity = Quantity.STRESS) -> LoadCase: + """Reference cases 1 to 6, as stress (MPa) or strain (scaled) channels. + + Channel "axial" is the 11 component (200 amplitude, 1 Hz), channel + "shear" the 12 component (115 amplitude, 1 Hz). + """ + scale = STRAIN_SCALE if quantity is Quantity.STRAIN else 1.0 + prefix = quantity.components[0][0] + + def channel( + name: str, + component: str, + amplitude: float, + frequency: float = 1.0, + mean: float = 0.0, + phase: float = 0.0, + ) -> Channel: + sig = ConstantAmplitudeSignal( + amplitude * scale, mean * scale, frequency=frequency, phase=phase + ) + return Channel(name, quantity, prefix + component, sig) + + axial = channel("axial", "11", 200.0) + shear = channel("shear", "12", 115.0) + channels = { + 1: [axial], + 2: [shear], + 3: [axial, shear], + 4: [axial, channel("shear", "12", 115.0, phase=90.0)], + 5: [channel("axial", "11", 200.0, mean=100.0)], + 6: [axial, channel("shear", "12", 115.0, frequency=2.0)], + }[number] + return LoadCase(f"case {number}", channels) + + +FX_VALUES = np.array([0.0, 5000.0, -2000.0, 8000.0, 0.0]) + + +def force_channel(time_step: float | None = 0.1) -> Channel: + """Case 7: Fx = 0, 5000, -2000, 8000, 0 N (time step 0.1 s by default).""" + sig = VariableAmplitudeSignal(FX_VALUES, time_step=time_step) + return Channel("Fx", Quantity.FORCE, "Fx", sig) + + +def static(name: str = "preload", mean: float = 30.0) -> Channel: + """Static s22 channel (CONSTANT waveform).""" + sig = ConstantAmplitudeSignal(mean=mean, waveform=Waveform.CONSTANT) + return Channel(name, Quantity.STRESS, "s22", sig) + + +class FailingSignal: + """Signal that can be defined but never evaluated.""" + + @property + def effective_period(self) -> float | None: + """Not periodic.""" + return None + + @property + def instants(self) -> NDArray[np.float64] | None: + """Own instants 0 and 1 s.""" + return np.array([0.0, 1.0]) + + def evaluate(self, time: ArrayLike) -> NDArray[np.float64]: + """Always fails.""" + raise SignalError("broken signal") + + +# -- the 7 reference cases ---------------------------------------------------- + + +def test_case1_tension() -> None: + """s11 sine 200 MPa, 1 Hz: peaks +-200, 73 samples with N = 72.""" + history = build_case(1).history() + axial = history.get("axial").values + assert len(history) == 73 + assert history.time[-1] == pytest.approx(1.0, rel=RTOL) + assert axial.max() == pytest.approx(200.0, rel=RTOL) + assert axial.min() == pytest.approx(-200.0, rel=RTOL) + np.testing.assert_allclose( + axial, 200.0 * np.sin(2 * np.pi * history.time), rtol=RTOL, atol=ATOL + ) + assert history.get("axial").unit == "MPa" + + +def test_case2_torsion() -> None: + """s12 sine 115 MPa: peaks +-115.""" + shear = build_case(2).history().get("shear").values + assert shear.max() == pytest.approx(115.0, rel=RTOL) + assert shear.min() == pytest.approx(-115.0, rel=RTOL) + + +def test_case3_in_phase() -> None: + """In phase: s12 / s11 is constant (= 115 / 200).""" + history = build_case(3).history() + np.testing.assert_allclose( + history.get("shear").values, + history.get("axial").values * (115.0 / 200.0), + rtol=RTOL, + atol=ATOL, + ) + + +def test_case4_out_of_phase() -> None: + """90 deg out of phase: (s11 / 200)^2 + (s12 / 115)^2 = 1.""" + history = build_case(4).history() + s11 = history.get("axial").values + s12 = history.get("shear").values + np.testing.assert_allclose((s11 / 200.0) ** 2 + (s12 / 115.0) ** 2, 1.0, rtol=RTOL) + + +def test_case5_mean_stress() -> None: + """Mean 100 MPa, amplitude 200 MPa: max 300 MPa, min -100 MPa.""" + axial = build_case(5).history().get("axial").values + assert axial.max() == pytest.approx(300.0, rel=RTOL) + assert axial.min() == pytest.approx(-100.0, rel=RTOL) + + +def test_case6_different_frequencies() -> None: + """s11 at 1 Hz and s12 at 2 Hz: cycle of 1 s sampled with 145 points.""" + history = build_case(6).history() + assert len(history) == 145 + assert history.time[-1] == pytest.approx(1.0, rel=RTOL) + np.testing.assert_allclose(np.diff(history.time), 0.5 / 72, rtol=RTOL) + np.testing.assert_allclose( + history.get("shear").values, + 115.0 * np.sin(4 * np.pi * history.time), + rtol=RTOL, + atol=ATOL, + ) + + +def test_case7_force_history() -> None: + """Fx with time step 0.1 s: output equals input, at its own instants.""" + history = LoadCase("case 7", [force_channel()]).history() + np.testing.assert_array_equal(history.get("Fx").values, FX_VALUES) + np.testing.assert_allclose(history.time, [0.0, 0.1, 0.2, 0.3, 0.4], rtol=RTOL) + assert history.get("Fx").unit == "N" + + +@pytest.mark.parametrize("number", range(1, 7)) +def test_strain_cases_to_voigt_strain(number: int) -> None: + """Cases 1-6 rebuilt with strain channels give the scaled stress array.""" + stress = build_case(number).history().to_voigt_stress() + strain = build_case(number, Quantity.STRAIN).history().to_voigt_strain() + np.testing.assert_allclose(strain, stress * STRAIN_SCALE, rtol=RTOL, atol=ATOL) + np.testing.assert_array_equal(strain[:, 1:5], 0.0) + + +# -- time axis ---------------------------------------------------------------- + + +def test_pragtic_example_time_axis() -> None: + """Periods 1.5 s and 2 s with N = 4: grid dt = 0.375 s plus the peaks. + + The 17 grid instants are kept; the extremes of the 2 s sine (0.5, 1.5, + 2.5, ... s) are not on the grid and are added. + """ + channels = [ + Channel("a", Quantity.STRESS, "s11", ConstantAmplitudeSignal(1.0, period=1.5)), + Channel("b", Quantity.STRESS, "s12", ConstantAmplitudeSignal(1.0, period=2.0)), + ] + time = LoadCase("pragtic", channels, samples_per_period=4).time_axis() + grid = np.arange(17) * 0.375 + peaks_b = 0.5 + np.arange(6) * 1.0 + np.testing.assert_allclose(time, np.unique(np.concatenate([grid, peaks_b]))) + assert time[-1] == pytest.approx(6.0, rel=RTOL) + + +@pytest.mark.parametrize( + "waveform", [w for w in Waveform if w is not Waveform.CONSTANT] +) +def test_closed_cycle_for_every_waveform(waveform: Waveform) -> None: + """Last sample equals first sample for every waveform, SQUARE included.""" + signals = [ + ConstantAmplitudeSignal(100.0, 50.0, waveform, frequency=1.0, phase=30.0), + ConstantAmplitudeSignal(80.0, -20.0, waveform, frequency=2.0, phase=45.0), + ] + channels = [ + Channel("a", Quantity.STRESS, "s11", signals[0]), + Channel("b", Quantity.STRESS, "s12", signals[1]), + static(), + ] + values = LoadCase("closed", channels).history().values_array() + np.testing.assert_allclose(values[-1], values[0], rtol=RTOL) + + +def test_static_only_load_case_has_single_instant() -> None: + """Only CONSTANT channels: the time axis is [0.0].""" + history = LoadCase("static", [static()]).history() + np.testing.assert_array_equal(history.time, [0.0]) + np.testing.assert_array_equal(history.get("preload").values, [30.0]) + + +def test_static_channel_next_to_variable_amplitude() -> None: + """Change 12: a CONSTANT channel is allowed with a variable-amplitude one.""" + history = LoadCase("preloaded", [force_channel(), static()]).history() + np.testing.assert_array_equal(history.get("preload").values, 30.0) + assert len(history) == FX_VALUES.size + + +# -- change 6: validation ----------------------------------------------------- + + +@pytest.mark.parametrize("name", ["", " "]) +def test_empty_channel_name_raises(name: str) -> None: + """An empty channel name is refused.""" + with pytest.raises(LoadDefinitionError, match="Channel name must not be empty"): + Channel(name, Quantity.FORCE, "Fx", force_channel().signal) + + +@pytest.mark.parametrize("name", ["", " "]) +def test_empty_load_case_name_raises(name: str) -> None: + """An empty load case name is refused.""" + with pytest.raises(LoadDefinitionError, match="Load case name must not be empty"): + LoadCase(name, [force_channel()]) + + +def test_load_case_samples_per_period_raises() -> None: + """samples_per_period below 4 is refused, naming the load case and value.""" + with pytest.raises(LoadDefinitionError, match=r"'coarse'.*>= 4, got 3"): + LoadCase("coarse", build_case(1).channels, samples_per_period=3) + + +def test_load_case_fractional_samples_per_period_raises() -> None: + """A fractional samples_per_period would silently truncate the cycle.""" + with pytest.raises(LoadDefinitionError, match=r"integer >= 4, got 4\.5"): + LoadCase("coarse", build_case(1).channels, samples_per_period=4.5) # type: ignore[arg-type] + + +def test_load_history_length_mismatch_raises() -> None: + """A LoadHistory needs one value per instant in every channel.""" + channel = ChannelHistory("s", Quantity.STRESS, "s11", "MPa", np.zeros(3)) + with pytest.raises(LoadDefinitionError, match=r"'s' has \(3,\) values"): + LoadHistory(np.zeros(4), (channel,), "bad", False) + + +def test_rational_frequencies_share_a_period() -> None: + """2 Hz and 3 Hz (period 1/3 s) have the common period 1 s.""" + channels = [ + Channel( + "a", Quantity.STRESS, "s11", ConstantAmplitudeSignal(1.0, frequency=2.0) + ), + Channel( + "b", Quantity.STRESS, "s12", ConstantAmplitudeSignal(1.0, frequency=3.0) + ), + ] + time = LoadCase("2 and 3 Hz", channels).time_axis() + assert time[-1] == pytest.approx(1.0, rel=RTOL) + assert time.size == 3 * 72 + 1 + + +# -- change 7: SignalError of a channel --------------------------------------- + + +def test_history_names_failing_channel() -> None: + """A SignalError while sampling becomes a LoadDefinitionError.""" + channel = Channel("gauge", Quantity.STRAIN, "e11", FailingSignal()) + with pytest.raises(LoadDefinitionError, match="'gauge': broken signal") as info: + LoadCase("measured", [channel]).history() + assert isinstance(info.value.__cause__, SignalError) + + +# -- change 8: load sequence -------------------------------------------------- + + +def test_is_sequence_only_without_time_scale() -> None: + """is_sequence comes from VariableAmplitudeSignal.is_sequence.""" + sequence = LoadCase("sequence", [force_channel(time_step=None)]) + timed = LoadCase("timed", [force_channel()]) + assert sequence.is_sequence is True + assert sequence.history().is_sequence is True + np.testing.assert_array_equal(sequence.history().time, np.arange(5.0)) + assert timed.is_sequence is False + assert timed.history().is_sequence is False + assert build_case(1).history().is_sequence is False + + +# -- change 9: read-only arrays ----------------------------------------------- + + +def test_history_arrays_are_read_only() -> None: + """time and channel values of a LoadHistory cannot be modified.""" + history = build_case(4).history() + with pytest.raises(ValueError, match="read-only"): + history.time[0] = 1.0 + for channel in history.channels: + with pytest.raises(ValueError, match="read-only"): + channel.values[0] = 1.0 + + +# -- changes 10 and 11: Voigt export ------------------------------------------ + + +def test_to_voigt_stress_fills_only_columns_0_and_5() -> None: + """Case 4: s11 goes to column 0, s12 to column 5, the rest stays zero.""" + history = build_case(4).history() + stress = history.to_voigt_stress() + assert stress.shape == (len(history), 6) + np.testing.assert_array_equal(stress[:, 0], history.get("axial").values) + np.testing.assert_array_equal(stress[:, 5], history.get("shear").values) + np.testing.assert_array_equal(stress[:, 1:5], 0.0) + voigt.check_shape(stress) + + +def test_to_voigt_stress_rejects_non_stress_channel() -> None: + """Change 10: a force channel is an error naming the channel.""" + sig = VariableAmplitudeSignal(np.arange(5.0), time_step=0.1) + channels = [force_channel(), Channel("s", Quantity.STRESS, "s33", sig)] + history = LoadCase("mixed", channels).history() + with pytest.raises(LoadDefinitionError, match="'Fx' is force"): + history.to_voigt_stress() + + +def test_to_voigt_strain_columns() -> None: + """Change 11: e11 -> column 0, ..., e12 -> column 5.""" + values = np.arange(6.0) * 1e-4 + channels = [ + Channel( + f"e{i}", + Quantity.STRAIN, + component, + ConstantAmplitudeSignal(mean=v, waveform=Waveform.CONSTANT), + ) + for i, (component, v) in enumerate( + zip(Quantity.STRAIN.components, values, strict=True) + ) + ] + strain = LoadCase("all strains", channels).history().to_voigt_strain() + np.testing.assert_allclose(strain, values[np.newaxis, :], rtol=RTOL) + voigt.check_shape(strain) + + +def test_to_voigt_strain_rejects_stress_channel() -> None: + """Change 11: a stress channel cannot enter a strain array.""" + with pytest.raises(LoadDefinitionError, match="'axial' is stress"): + build_case(1).history().to_voigt_strain() + + +@pytest.mark.parametrize("quantity", [Quantity.STRESS, Quantity.STRAIN]) +def test_to_voigt_duplicate_component_raises(quantity: Quantity) -> None: + """Two channels cannot give the same component.""" + first = build_case(1, quantity).channels[0] + second = Channel("axial 2", quantity, first.component, first.signal) + history = LoadCase("dup", [first, second]).history() + export = ( + history.to_voigt_stress + if quantity is Quantity.STRESS + else history.to_voigt_strain + ) + with pytest.raises( + LoadDefinitionError, match="both channels 'axial' and 'axial 2'" + ): + export() + + +# -- change 12: table --------------------------------------------------------- + + +def test_to_table_is_a_dict_with_units() -> None: + """to_table returns a plain dict of columns with units in the keys.""" + history = build_case(4).history() + table = history.to_table() + assert type(table) is dict + assert list(table) == ["time [s]", "axial [MPa]", "shear [MPa]"] + np.testing.assert_array_equal(table["time [s]"], history.time) + assert history.values_array().shape == (len(history), 2) + + +# -- change 13: module docstring ---------------------------------------------- + + +def test_module_docstring_mapping_and_future_work() -> None: + """The module documents the PragTic mapping and the future work.""" + doc = loads.__doc__ or "" + assert "PragTic mapping:" in doc + for line in ( + "load regime -> `LoadCase`", + "load channel -> `Channel`", + "-> `ConstantAmplitudeSignal`", + "-> `VariableAmplitudeSignal`", + ): + assert line in doc + assert "Future work:" in doc + for item in ("PSD", "repetitions", "force and moment", "spectra", "Element"): + assert item in doc + for item in ("N and mm", "MPa", "Voigt order", "tensor", "72", "fe_model"): + assert item in doc + + +# -- Quantity / voigt_index --------------------------------------------------- + + +@pytest.mark.parametrize( + ("component", "index"), + [ + ("s11", 0), + ("s22", 1), + ("s33", 2), + ("s23", 3), + ("s13", 4), + ("s12", 5), + ("e11", 0), + ("e12", 5), + ("Fx", None), + ("Mz", None), + ], +) +def test_voigt_index(component: str, index: int | None) -> None: + """Voigt positions follow fatpy.utils.voigt; forces and moments have none.""" + assert voigt_index(component) == index + + +def test_quantity_units() -> None: + """Each quantity has its fixed unit, time is in seconds.""" + assert Quantity.STRESS.unit == "MPa" + assert Quantity.STRAIN.unit == "mm/mm" + assert Quantity.FORCE.unit == "N" + assert Quantity.MOMENT.unit == "N*mm" + assert loads.TIME_UNIT == "s" + + +# -- other error conditions --------------------------------------------------- + + +def test_voigt_index_unknown_component_raises() -> None: + """A component that belongs to no quantity.""" + with pytest.raises(LoadDefinitionError, match="Unknown load component 's99'"): + voigt_index("s99") + + +def test_channel_incompatible_component_raises() -> None: + """A component that does not belong to the channel quantity.""" + with pytest.raises(LoadDefinitionError, match="'bad': 's11' is not a force"): + Channel("bad", Quantity.FORCE, "s11", force_channel().signal) + + +def test_load_case_without_channel_raises() -> None: + """A load case needs at least one channel.""" + with pytest.raises(LoadDefinitionError, match="no channel"): + LoadCase("empty", []) + + +def test_load_case_duplicate_names_raises() -> None: + """Channel names must be unique.""" + axial = build_case(1).channels[0] + with pytest.raises( + LoadDefinitionError, match=r"duplicate channel names \['axial'\]" + ): + LoadCase("dup", [axial, axial]) + + +def test_load_case_mixed_periodic_and_variable_raises() -> None: + """Periodic and variable-amplitude channels cannot be mixed.""" + channels = [*build_case(1).channels, force_channel()] + with pytest.raises(LoadDefinitionError, match=r"\['axial'\].*\['Fx'\]"): + LoadCase("mixed", channels).time_axis() + + +def test_load_case_different_instants_raises() -> None: + """Variable-amplitude channels must share their time instants.""" + other = VariableAmplitudeSignal(np.zeros(5), time_step=0.2) + channels = [force_channel(), Channel("Fy", Quantity.FORCE, "Fy", other)] + with pytest.raises(LoadDefinitionError, match="'Fy' does not share.*'Fx'"): + LoadCase("seq", channels).time_axis() + + +def test_load_case_too_long_cycle_raises() -> None: + """Nearly incommensurate periods are refused, with advice.""" + channels = [ + Channel("a", Quantity.STRESS, "s11", ConstantAmplitudeSignal(1.0, period=1.0)), + Channel( + "b", Quantity.STRESS, "s12", ConstantAmplitudeSignal(1.0, period=1.001) + ), + ] + with pytest.raises(LoadDefinitionError, match=r"incommensurate.*1:1\.414 -> 5:7"): + LoadCase("long", channels).history() + + +def test_get_unknown_channel_raises() -> None: + """get() of a channel that does not exist.""" + with pytest.raises(KeyError, match="bending"): + build_case(1).history().get("bending") + + +def test_load_definition_error_is_value_error() -> None: + """LoadDefinitionError can be caught as a ValueError.""" + assert issubclass(LoadDefinitionError, ValueError) + + +# -- equality, hashing, immutability ----------------------------------------- + + +def test_channels_compare_and_hash() -> None: + """Comparing and hashing channels does not raise.""" + a = build_case(1).channels[0] + b = build_case(1).channels[0] + force = force_channel() + assert a == b + assert hash(a) == hash(b) + assert a != force + assert len({a, b, force, force_channel()}) == 3 + assert build_case(1) == build_case(1) + assert isinstance(hash(build_case(4)), int) + + +def test_dataclasses_are_immutable() -> None: + """Channel, LoadCase, ChannelHistory and LoadHistory are frozen.""" + load_case = build_case(4) + history: LoadHistory = load_case.history() + for obj, attribute in ( + (load_case.channels[0], "name"), + (load_case, "name"), + (history.channels[0], "name"), + (history, "load_case_name"), + ): + with pytest.raises(dataclasses.FrozenInstanceError): + setattr(obj, attribute, "changed") + assert isinstance(load_case.channels, tuple) + assert DEFAULT_SAMPLES_PER_PERIOD == 72 + + +# -- sampling: common period and extremes ------------------------------------- + + +@pytest.mark.parametrize( + ("periods", "expected"), + [ + ([1.0], 1.0), + ([0.2, 0.3], 0.6), + ([1.0, 0.5], 1.0), + ([1.5, 2.0], 6.0), + ([1 / 3, 0.5], 1.0), + ([0.1 + 0.2], 0.3), + ], +) +def test_period_lcm(periods: list[float], expected: float) -> None: + """The least common multiple is exact for decimal and rational periods.""" + assert period_lcm(periods) == pytest.approx(expected, rel=RTOL) + + +def test_period_lcm_empty_raises() -> None: + """No period at all.""" + with pytest.raises(LoadDefinitionError, match="At least one period"): + period_lcm([]) + + +@pytest.mark.parametrize("bad", [0.0, -1.0, float("nan"), float("inf")]) +def test_period_lcm_invalid_period_raises(bad: float) -> None: + """A zero, negative or non-finite period.""" + with pytest.raises(LoadDefinitionError, match="finite and positive"): + period_lcm([1.0, bad]) + + +def test_period_lcm_below_precision_raises() -> None: + """A positive period shorter than TIME_PRECISION.""" + with pytest.raises(LoadDefinitionError, match="below TIME_PRECISION"): + period_lcm([1e-12]) + + +def test_default_sampling_is_72_points_per_period() -> None: + """Default: 72 equal steps (5 deg) in the shortest period, ends included.""" + time = common_time_axis([ConstantAmplitudeSignal(1.0, frequency=2.0)]) + assert time.size == 73 + np.testing.assert_allclose(np.diff(time), 0.5 / 72, rtol=RTOL) + + +def test_samples_per_period_is_adjustable() -> None: + """The user can refine or coarsen the sampling.""" + channels = build_case(1).channels + assert len(LoadCase("coarse", channels, samples_per_period=8).history()) == 9 + assert len(LoadCase("fine", channels, samples_per_period=360).history()) == 361 + sine = ConstantAmplitudeSignal(1.0, period=1.0) + assert common_time_axis([sine], samples_per_period=4).size == 5 + + +def test_common_time_axis_requires_four_samples() -> None: + """samples_per_period below 4, or fractional, is refused.""" + sine = ConstantAmplitudeSignal(1.0, period=1.0) + with pytest.raises(LoadDefinitionError, match=r"integer >= 4, got 3"): + common_time_axis([sine], samples_per_period=3) + with pytest.raises(LoadDefinitionError, match=r"integer >= 4, got 4\.5"): + common_time_axis([sine], samples_per_period=4.5) # type: ignore[arg-type] + + +def test_common_time_axis_without_periodic_signal_raises() -> None: + """At least one signal must be periodic.""" + static_signal = ConstantAmplitudeSignal(mean=1.0, waveform=Waveform.CONSTANT) + with pytest.raises(LoadDefinitionError, match="periodic signal is needed"): + common_time_axis([static_signal]) + + +@pytest.mark.parametrize("waveform", [Waveform.SINE, Waveform.TRIANGLE]) +@pytest.mark.parametrize("phase", [7.0, 13.3, 100.0, -45.0]) +@pytest.mark.parametrize("samples", [4, 7, 72]) +def test_sampling_hits_max_and_min_of_every_channel( + waveform: Waveform, phase: float, samples: int +) -> None: + """2 Hz and 3 Hz channels with any phase: exact maximum and minimum.""" + channels = [ + Channel( + "a", + Quantity.STRESS, + "s11", + ConstantAmplitudeSignal(200.0, 50.0, waveform, frequency=2.0, phase=0.0), + ), + Channel( + "b", + Quantity.STRESS, + "s12", + ConstantAmplitudeSignal(115.0, -10.0, waveform, frequency=3.0, phase=phase), + ), + ] + history = LoadCase("peaks", channels, samples_per_period=samples).history() + for name, high, low in (("a", 250.0, -150.0), ("b", 105.0, -125.0)): + values = history.get(name).values + assert values.max() == pytest.approx(high, rel=RTOL) + assert values.min() == pytest.approx(low, rel=RTOL) + assert np.all(np.diff(history.time) > 0.0) + assert history.time[0] == 0.0 + assert history.time[-1] == pytest.approx(1.0, rel=RTOL) + + +def test_peaks_are_added_to_the_uniform_grid() -> None: + """Off-grid peaks are inserted; every grid instant is kept.""" + sine = ConstantAmplitudeSignal(1.0, period=1.0, phase=7.0) + time = common_time_axis([sine], samples_per_period=72) + grid = np.arange(73) / 72 + assert all(np.any(np.isclose(time, t, rtol=0.0, atol=1e-12)) for t in grid) + assert time.size == 73 + 2 + assert sine.evaluate(time).max() == pytest.approx(1.0, rel=RTOL) + + +def test_peaks_on_the_grid_keep_a_uniform_step() -> None: + """Phase 0 with 72 samples: peaks are on the grid, nothing is added.""" + time = common_time_axis([ConstantAmplitudeSignal(1.0, period=1.0)]) + assert time.size == 73 + np.testing.assert_allclose(np.diff(time), 1.0 / 72, rtol=1e-6) + + +# -- FE results: superposition ------------------------------------------------ + +TENSION = (0.01, 0.0, 0.0, 0.0, 0.0, 0.0) # MPa per N, times the node id +TORSION = (0.0, 0.0, 0.0, 0.0, 0.0, 0.002) # MPa per N*mm, times the node id +PRESSURE = (0.0, 0.5, 0.5, 0.0, 0.0, 0.0) # MPa per MPa, times the node id + + +def unit_file( + tmp_path: Path, name: str, stress: tuple[float, ...], **kw: object +) -> Path: + """Single-step unit load file (time 1).""" + table = fe_table(times=(1.0,), stress=stress, **kw) # type: ignore[arg-type] + return write_fe(tmp_path / f"{name}.csv", table) + + +def node_factor() -> NDArray[np.float64]: + """Node ids of the sorted results, as a (3, 1) column.""" + return np.array([1.0, 2.0, 3.0])[:, np.newaxis] + + +def test_superpose_unit_loads_with_factors(tmp_path: Path) -> None: + """Tension 1000 N + torsion 5e4 N*mm, static.""" + files = [ + FEResultFile( + unit_file(tmp_path, "tension", TENSION), 1000.0, linear_elastic=True + ), + FEResultFile(unit_file(tmp_path, "torsion", TORSION), 5e4, linear_elastic=True), + ] + results = superpose(files) + assert results.stress.shape == (3, 1, 6) + np.testing.assert_allclose(results.stress[:, 0, 0:1], 10.0 * node_factor()) + np.testing.assert_allclose(results.stress[:, 0, 5:6], 100.0 * node_factor()) + np.testing.assert_allclose(results.elastic_strain, results.stress * 1e-5) + np.testing.assert_array_equal(results.node_ids, [1, 2, 3]) + assert "1000 * " in results.source and "50000 * " in results.source + + +def test_superpose_out_of_phase_signals(tmp_path: Path) -> None: + """Tension x sin + torsion x sin(+90 deg): 73 steps, exact peaks.""" + files = [ + FEResultFile( + unit_file(tmp_path, "tension", TENSION), + 1000.0, + ConstantAmplitudeSignal(1.0, frequency=1.0), + linear_elastic=True, + ), + FEResultFile( + unit_file(tmp_path, "torsion", TORSION), + 5e4, + ConstantAmplitudeSignal(1.0, frequency=1.0, phase=90.0), + linear_elastic=True, + ), + ] + results = superpose(files) + assert results.stress.shape == (3, 73, 6) + t = results.time + np.testing.assert_allclose( + results.stress[:, :, 0], 10.0 * node_factor() * np.sin(2 * np.pi * t), atol=ATOL + ) + np.testing.assert_allclose( + results.stress[:, :, 5], + 100.0 * node_factor() * np.cos(2 * np.pi * t), + atol=ATOL, + ) + assert results.stress[2, :, 0].max() == pytest.approx(30.0, rel=RTOL) + one = results.at_node(3) + s11, s12 = one.stress[:, 0] / 30.0, one.stress[:, 5] / 300.0 + np.testing.assert_allclose(s11**2 + s12**2, 1.0, rtol=1e-9) + + +def test_superpose_with_static_preload(tmp_path: Path) -> None: + """A single-step file without signal is added at every time step.""" + files = [ + FEResultFile( + unit_file(tmp_path, "tension", TENSION), + 1000.0, + ConstantAmplitudeSignal(1.0, frequency=1.0), + linear_elastic=True, + ), + FEResultFile( + unit_file(tmp_path, "pressure", PRESSURE), 4.0, linear_elastic=True + ), + ] + results = superpose(files, samples_per_period=8) + assert results.n_steps == 9 + np.testing.assert_allclose( + results.stress[:, :, 1], 2.0 * node_factor() * np.ones(9) + ) + + +def test_superpose_measured_force_record(tmp_path: Path) -> None: + """A unit load scaled by a measured record keeps the record instants.""" + record = VariableAmplitudeSignal(FX_VALUES, time_step=0.1) + path = unit_file(tmp_path, "tension", TENSION) + results = superpose([FEResultFile(path, 1.0, record, linear_elastic=True)]) + np.testing.assert_allclose(results.time, [0.0, 0.1, 0.2, 0.3, 0.4]) + np.testing.assert_allclose(results.stress[0, :, 0], 0.01 * FX_VALUES) + + +def test_superpose_real_fe_results_factor_one(tmp_path: Path) -> None: + """A real (elastic-plastic) result enters unchanged, with a preload.""" + lines = set_cell(fe_lines(fe_table()), 3, "PE11", "1e-3") + real = write_lines(tmp_path / "real.csv", lines) + alone = superpose([FEResultFile(real)]) + np.testing.assert_array_equal(alone.stress, read_fe_csv(real).stress) + assert alone.plastic_strain[2, 1, 0] == 1e-3 + pressure = unit_file(tmp_path, "pressure", PRESSURE) + both = superpose( + [FEResultFile(real), FEResultFile(pressure, 2.0, linear_elastic=True)] + ) + np.testing.assert_allclose( + both.stress[:, :, 1] - alone.stress[:, :, 1], node_factor() * np.ones(3) + ) + np.testing.assert_array_equal(both.time, TIMES) + + +def test_superpose_node_subset(tmp_path: Path) -> None: + """node_ids is passed to every file.""" + path = unit_file(tmp_path, "tension", TENSION) + results = superpose([FEResultFile(path, 2.0, linear_elastic=True)], node_ids=[2]) + np.testing.assert_array_equal(results.node_ids, [2]) + np.testing.assert_allclose(results.stress[0, 0, 0], 0.04) + + +def test_superpose_different_nodes_raises(tmp_path: Path) -> None: + """Superposed files must have the same node ids.""" + files = [ + FEResultFile(unit_file(tmp_path, "tension", TENSION), 1.0, linear_elastic=True), + FEResultFile( + unit_file(tmp_path, "torsion", TORSION, nodes=(1, 2, 4)), + 1.0, + linear_elastic=True, + ), + ] + with pytest.raises( + FEResultError, + match=r"torsion\.csv and .*tension\.csv have different nodes: only in " + r".*torsion\.csv: \[4\], only in .*tension\.csv: \[3\]", + ): + superpose(files) + + +def test_superpose_different_coordinates_raises(tmp_path: Path) -> None: + """Superposed files must have the same coordinates.""" + lines = set_cell(fe_lines(fe_table(times=(1.0,), stress=TORSION)), 4, "z", "0.6") + files = [ + FEResultFile(unit_file(tmp_path, "tension", TENSION), 1.0, linear_elastic=True), + FEResultFile(write_lines(tmp_path / "t.csv", lines), 1.0, linear_elastic=True), + ] + with pytest.raises(FEResultError, match=r"coordinates of node 2 differ by 0\.1"): + superpose(files) + + +def test_superpose_plastic_unit_load_raises(tmp_path: Path) -> None: + """The PE check applies to every file declared linear-elastic.""" + lines = set_cell( + fe_lines(fe_table(times=(1.0,), stress=TENSION)), 2, "PE33", "1e-6" + ) + path = write_lines(tmp_path / "tension.csv", lines) + with pytest.raises(PlasticStrainError, match=r"tension\.csv, line 2: .*node 3"): + superpose([FEResultFile(path, 1000.0, linear_elastic=True)]) + + +def test_superpose_signal_on_multi_step_file_raises(tmp_path: Path) -> None: + """Only a single-step (unit load) file can be scaled by a signal.""" + path = write_fe(tmp_path / "steps.csv", fe_table()) + sine = ConstantAmplitudeSignal(1.0, frequency=1.0) + with pytest.raises(FEResultError, match=r"steps\.csv: .*one time step.*got 3"): + superpose([FEResultFile(path, 1.0, sine, linear_elastic=True)]) + + +def test_superpose_different_time_steps_raises(tmp_path: Path) -> None: + """Multi-step files must share their time steps.""" + files = [ + FEResultFile(write_fe(tmp_path / "a.csv", fe_table())), + FEResultFile(write_fe(tmp_path / "b.csv", fe_table(times=(0.0, 1.0, 3.0)))), + ] + with pytest.raises(FEResultError, match=r"b\.csv: its 3 time steps differ"): + superpose(files) + + +def test_superpose_mixed_signals_raises(tmp_path: Path) -> None: + """Periodic and measured signals cannot be combined.""" + files = [ + FEResultFile( + unit_file(tmp_path, "tension", TENSION), + 1.0, + ConstantAmplitudeSignal(1.0, frequency=1.0), + linear_elastic=True, + ), + FEResultFile( + unit_file(tmp_path, "torsion", TORSION), + 1.0, + VariableAmplitudeSignal(FX_VALUES, time_step=0.1), + linear_elastic=True, + ), + ] + with pytest.raises(LoadDefinitionError, match="Superposition mixes periodic"): + superpose(files) + + +def test_superpose_failing_signal_names_file(tmp_path: Path) -> None: + """A signal that cannot be evaluated names its file.""" + path = unit_file(tmp_path, "tension", TENSION) + with pytest.raises(LoadDefinitionError, match=r"tension\.csv: broken signal"): + superpose([FEResultFile(path, 1.0, FailingSignal(), linear_elastic=True)]) + + +def test_superpose_without_file_raises() -> None: + """At least one file.""" + with pytest.raises(LoadDefinitionError, match="At least one FE result file"): + superpose([]) + + +def test_scaling_requires_linear_elastic_declaration() -> None: + """Only linear-elastic results can be scaled; the factor must be finite.""" + with pytest.raises(LoadDefinitionError, match="linear_elastic=True"): + FEResultFile("a.csv", 2.0) + sine = ConstantAmplitudeSignal(1.0, frequency=1.0) + with pytest.raises(LoadDefinitionError, match="linear_elastic=True"): + FEResultFile("a.csv", 1.0, sine) + with pytest.raises(LoadDefinitionError, match="factor must be finite"): + FEResultFile("a.csv", float("nan"), linear_elastic=True) + assert FEResultFile("a.csv").factor == 1.0 diff --git a/tests/utils/test_signal.py b/tests/utils/test_signal.py new file mode 100644 index 0000000..e262165 --- /dev/null +++ b/tests/utils/test_signal.py @@ -0,0 +1,457 @@ +"""Test functions for the signal module. + +Covers the waveforms, the peak instants used for sampling, the constant- +and variable-amplitude signals, the CSV reading of measured records and their +error conditions. +""" + +import ast +import dataclasses +from pathlib import Path + +import numpy as np +import pytest + +from fatpy.utils import signal +from fatpy.utils.signal import ( + ConstantAmplitudeSignal, + CsvFormatError, + SignalError, + VariableAmplitudeSignal, + Waveform, + read_numeric_csv, + waveform_shape, +) + +RTOL = 1e-9 +ATOL = 1e-9 # absolute tolerance for values that should be zero + + +# -- waveform_shape ----------------------------------------------------------- + + +def test_waveform_shape_values() -> None: + """Each waveform matches its definition at characteristic angles.""" + theta = np.array([0.0, np.pi / 4, np.pi / 2, 3 * np.pi / 2]) + np.testing.assert_allclose( + waveform_shape(Waveform.SINE, theta), np.sin(theta), rtol=RTOL + ) + np.testing.assert_allclose( + waveform_shape(Waveform.TRIANGLE, theta), + [0.0, 0.5, 1.0, -1.0], + rtol=RTOL, + atol=ATOL, + ) + np.testing.assert_array_equal( + waveform_shape(Waveform.SQUARE, theta), [1.0, 1.0, 1.0, -1.0] + ) + np.testing.assert_array_equal(waveform_shape(Waveform.CONSTANT, theta), 0.0) + + +@pytest.mark.parametrize("waveform", list(Waveform)) +def test_waveform_shape_is_bounded(waveform: Waveform) -> None: + """Every waveform stays within [-1, 1].""" + values = waveform_shape(waveform, np.linspace(-10.0, 10.0, 1001)) + assert np.all(np.abs(values) <= 1.0) + + +def test_square_zero_crossings_count_as_positive() -> None: + """Change 1: |sin| < 1e-12 at k*pi gives +1, so 0 and 2*pi agree.""" + theta = np.array([0.0, np.pi, 2 * np.pi, 4 * np.pi]) + assert np.sin(2 * np.pi) < 0.0 # the float rounding the rule handles + np.testing.assert_array_equal(waveform_shape(Waveform.SQUARE, theta), 1.0) + + +@pytest.mark.parametrize("waveform", list(Waveform)) +def test_closed_cycle_for_every_waveform(waveform: Waveform) -> None: + """First and last sample of one period are equal, SQUARE included.""" + if waveform is Waveform.CONSTANT: + sig = ConstantAmplitudeSignal(mean=50.0, waveform=waveform) + else: + sig = ConstantAmplitudeSignal(100.0, 50.0, waveform, period=1.0) + values = sig.evaluate(np.linspace(0.0, 1.0, 73)) + assert values[-1] == pytest.approx(values[0], rel=RTOL) + + +# -- ConstantAmplitudeSignal ------------------------------------------------- + + +def test_constant_amplitude_sine_definition() -> None: + """x(t) = mean + amplitude * sin(2*pi*t/T + phase).""" + sig = ConstantAmplitudeSignal(amplitude=200.0, mean=50.0, period=2.0, phase=30.0) + t = np.linspace(0.0, 2.0, 33) + expected = 50.0 + 200.0 * np.sin(np.pi * t + np.deg2rad(30.0)) + np.testing.assert_allclose(sig.evaluate(t), expected, rtol=RTOL) + assert sig.instants is None + + +def test_frequency_and_period_are_equivalent() -> None: + """A frequency f gives the same signal as the period 1/f.""" + t = np.linspace(0.0, 1.0, 17) + by_freq = ConstantAmplitudeSignal(amplitude=1.0, frequency=4.0) + by_period = ConstantAmplitudeSignal(amplitude=1.0, period=0.25) + assert by_freq.effective_period == pytest.approx(0.25, rel=RTOL) + np.testing.assert_allclose(by_freq.evaluate(t), by_period.evaluate(t), rtol=RTOL) + + +def test_constant_waveform_is_static() -> None: + """A CONSTANT waveform has no period and always returns the mean.""" + sig = ConstantAmplitudeSignal(mean=30.0, waveform=Waveform.CONSTANT) + assert sig.effective_period is None + np.testing.assert_array_equal(sig.evaluate([0.0, 1.0, 7.5]), 30.0) + + +def test_negative_amplitude_raises() -> None: + """Change 2: a negative amplitude is refused, with its value.""" + with pytest.raises(SignalError, match=r"amplitude must be >= 0, got -1\.0"): + ConstantAmplitudeSignal(amplitude=-1.0, period=1.0) + + +@pytest.mark.parametrize( + "parameter", ["amplitude", "mean", "phase", "period", "frequency"] +) +@pytest.mark.parametrize("bad", [float("nan"), float("inf")]) +def test_non_finite_parameter_raises(parameter: str, bad: float) -> None: + """Change 2: NaN or inf in any parameter is refused, naming it.""" + params = {"amplitude": 1.0, "period": 1.0} | {parameter: bad} + if parameter == "frequency": + del params["period"] + with pytest.raises(SignalError, match=f"{parameter} must be finite"): + ConstantAmplitudeSignal(**params) # type: ignore[arg-type] + + +# -- VariableAmplitudeSignal ------------------------------------------------- + + +def test_variable_amplitude_default_instants_are_indices() -> None: + """Without time or time_step the instants are 0, 1, 2, ...""" + sig = VariableAmplitudeSignal(np.array([3.0, -1.0, 4.0])) + np.testing.assert_array_equal(sig.instants, [0.0, 1.0, 2.0]) + assert sig.effective_period is None + + +def test_variable_amplitude_time_step_and_time() -> None: + """Instants come from time_step or from the explicit time array.""" + values = np.array([0.0, 5.0, -2.0]) + by_step = VariableAmplitudeSignal(values, time_step=0.1) + by_time = VariableAmplitudeSignal(values, time=np.array([0.0, 0.1, 0.2])) + np.testing.assert_allclose(by_step.instants, [0.0, 0.1, 0.2], rtol=RTOL) + np.testing.assert_allclose(by_time.instants, by_step.instants, rtol=RTOL) + np.testing.assert_array_equal(by_step.evaluate(by_step.instants), values) + + +def test_variable_amplitude_evaluates_subset_of_instants() -> None: + """Any of the own instants can be requested, in any order.""" + sig = VariableAmplitudeSignal(np.array([10.0, 20.0, 30.0]), time_step=0.5) + np.testing.assert_array_equal(sig.evaluate([1.0, 0.0]), [30.0, 10.0]) + + +@pytest.mark.parametrize("bad", [float("nan"), float("inf")]) +def test_variable_amplitude_non_finite_raises(bad: float) -> None: + """Change 3: NaN or inf in values or time is refused, with its index.""" + with pytest.raises(SignalError, match="values must be finite.*index 1"): + VariableAmplitudeSignal(np.array([1.0, bad, 3.0])) + with pytest.raises(SignalError, match="time must be finite.*index 2"): + VariableAmplitudeSignal(np.ones(3), time=np.array([0.0, 1.0, bad])) + + +@pytest.mark.parametrize("attribute", ["values", "time", "instants"]) +def test_variable_amplitude_arrays_are_read_only(attribute: str) -> None: + """Change 3: values, time and instants cannot be modified in place.""" + sig = VariableAmplitudeSignal(np.array([1.0, 2.0]), time=np.array([0.0, 1.0])) + with pytest.raises(ValueError, match="read-only"): + getattr(sig, attribute)[0] = 9.0 + + +def test_variable_amplitude_does_not_alias_inputs() -> None: + """Change 3: the caller's arrays stay writable and are not shared.""" + values = np.array([1.0, 2.0]) + sig = VariableAmplitudeSignal(values) + values[0] = 9.0 + assert sig.values[0] == 1.0 + + +def test_variable_amplitude_duration() -> None: + """Change 3: duration is the last instant minus the first.""" + assert VariableAmplitudeSignal(np.zeros(5), time_step=0.1).duration == ( + pytest.approx(0.4, rel=RTOL) + ) + timed = VariableAmplitudeSignal(np.zeros(3), time=np.array([2.0, 3.0, 7.5])) + assert timed.duration == pytest.approx(5.5, rel=RTOL) + + +def test_variable_amplitude_is_sequence_without_time_scale() -> None: + """Change 3: only values without time or time_step form a load sequence.""" + values = np.array([1.0, 2.0]) + assert VariableAmplitudeSignal(values).is_sequence is True + assert VariableAmplitudeSignal(values, time_step=0.1).is_sequence is False + timed = VariableAmplitudeSignal(values, time=np.array([0.0, 1.0])) + assert timed.is_sequence is False + + +# -- error conditions --------------------------------------------------------- + + +def test_constant_waveform_with_period_raises() -> None: + """A CONSTANT waveform cannot have a period or a frequency.""" + with pytest.raises(SignalError, match="no period"): + ConstantAmplitudeSignal(waveform=Waveform.CONSTANT, period=1.0) + with pytest.raises(SignalError, match="no period"): + ConstantAmplitudeSignal(waveform=Waveform.CONSTANT, frequency=1.0) + + +def test_constant_waveform_with_amplitude_raises() -> None: + """A CONSTANT waveform requires amplitude = 0.""" + with pytest.raises(SignalError, match="amplitude = 0, got 1.0"): + ConstantAmplitudeSignal(amplitude=1.0, waveform=Waveform.CONSTANT) + + +def test_periodic_without_period_or_frequency_raises() -> None: + """Neither period nor frequency for a periodic waveform.""" + with pytest.raises(SignalError, match="Exactly one"): + ConstantAmplitudeSignal(amplitude=1.0) + + +def test_periodic_with_period_and_frequency_raises() -> None: + """Both period and frequency.""" + with pytest.raises(SignalError, match="Exactly one"): + ConstantAmplitudeSignal(amplitude=1.0, period=1.0, frequency=1.0) + + +def test_non_positive_period_raises() -> None: + """A zero or negative period or frequency, named with its value.""" + with pytest.raises(SignalError, match=r"period must be positive, got -1\.0"): + ConstantAmplitudeSignal(amplitude=1.0, period=-1.0) + with pytest.raises(SignalError, match=r"frequency must be positive, got 0\.0"): + ConstantAmplitudeSignal(amplitude=1.0, frequency=0.0) + + +def test_variable_amplitude_single_value_raises() -> None: + """Fewer than two values.""" + with pytest.raises(SignalError, match="at least two"): + VariableAmplitudeSignal(np.array([1.0])) + + +def test_variable_amplitude_time_and_time_step_raises() -> None: + """Both time and time_step.""" + with pytest.raises(SignalError, match="not both"): + VariableAmplitudeSignal( + np.array([1.0, 2.0]), time=np.array([0.0, 1.0]), time_step=1.0 + ) + + +def test_variable_amplitude_time_length_mismatch_raises() -> None: + """time and values of different lengths.""" + with pytest.raises(SignalError, match="same shape"): + VariableAmplitudeSignal(np.array([1.0, 2.0]), time=np.array([0.0, 1.0, 2.0])) + + +def test_variable_amplitude_non_increasing_time_raises() -> None: + """time not strictly increasing, with the offending values.""" + with pytest.raises(SignalError, match="strictly increasing.*index 2"): + VariableAmplitudeSignal(np.ones(3), time=np.array([0.0, 1.0, 1.0])) + + +@pytest.mark.parametrize("bad", [0.0, -0.1, float("nan"), float("inf")]) +def test_variable_amplitude_invalid_time_step_raises(bad: float) -> None: + """A zero, negative or non-finite time step.""" + with pytest.raises(SignalError, match="time_step must be finite and positive"): + VariableAmplitudeSignal(np.array([1.0, 2.0]), time_step=bad) + + +def test_variable_amplitude_no_interpolation() -> None: + """Evaluating between the own instants is refused, naming the instant.""" + sig = VariableAmplitudeSignal(np.array([1.0, 2.0]), time_step=1.0) + with pytest.raises(SignalError, match=r"Instant 0\.5 s.*no interpolation"): + sig.evaluate([0.5]) + + +def test_signal_error_is_value_error() -> None: + """SignalError can be caught as a ValueError.""" + assert issubclass(SignalError, ValueError) + + +# -- immutability / module ---------------------------------------------------- + + +@pytest.mark.parametrize( + ("obj", "attribute"), + [ + (ConstantAmplitudeSignal(amplitude=1.0, period=1.0), "amplitude"), + (VariableAmplitudeSignal(np.array([1.0, 2.0])), "values"), + ], +) +def test_signals_are_immutable(obj: object, attribute: str) -> None: + """Signals are frozen dataclasses.""" + with pytest.raises(dataclasses.FrozenInstanceError): + setattr(obj, attribute, 0.0) + + +def test_module_docstring() -> None: + """Change 5: typo fixed and future PSD signal documented.""" + doc = signal.__doc__ or "" + assert "provided, :" not in doc + assert "Future work:" in doc + assert "PSD" in doc + assert "Signal` protocol" in doc + assert "from_csv" in doc + + +def test_lcm_and_time_axis_moved_to_loads() -> None: + """The combination of several signals is not done in the signal module.""" + for name in ("period_lcm", "common_time_axis", "MIN_SAMPLES_PER_PERIOD"): + assert not hasattr(signal, name) + + +def test_signal_module_does_not_import_data_parsing() -> None: + """utils.signal stays independent of fatpy.data_parsing.""" + tree = ast.parse(Path(signal.__file__).read_text(encoding="utf-8")) + imported: list[str] = [] + for node in ast.walk(tree): + if isinstance(node, ast.Import): + imported += [alias.name for alias in node.names] + elif isinstance(node, ast.ImportFrom) and node.module: + imported.append(node.module) + assert not [m for m in imported if "data_parsing" in m] + + +# -- peak instants ------------------------------------------------------------- + + +@pytest.mark.parametrize("waveform", [Waveform.SINE, Waveform.TRIANGLE]) +@pytest.mark.parametrize("phase", [0.0, 7.0, 90.0, -33.3, 200.0, 360.0]) +def test_peak_instants_are_the_extremes(waveform: Waveform, phase: float) -> None: + """The signal reaches exactly mean +- amplitude at the peak instants.""" + sig = ConstantAmplitudeSignal(100.0, 20.0, waveform, period=0.4, phase=phase) + peaks = sig.peak_instants(1.2) + assert np.all((peaks >= 0.0) & (peaks <= 1.2 + 1e-12)) + values = sig.evaluate(peaks) + assert np.sum(np.isclose(values, 120.0, rtol=RTOL)) >= 3 + assert np.sum(np.isclose(values, -80.0, rtol=RTOL)) >= 3 + assert np.all(np.isclose(np.abs(values - 20.0), 100.0, rtol=RTOL)) + + +def test_peak_instants_include_both_ends() -> None: + """A peak at t = 0 is repeated at the end of a whole number of periods.""" + sig = ConstantAmplitudeSignal(1.0, period=1.0, phase=90.0) + np.testing.assert_allclose(sig.peak_instants(2.0), [0.0, 0.5, 1.0, 1.5, 2.0]) + + +@pytest.mark.parametrize( + "sig", + [ + ConstantAmplitudeSignal(1.0, waveform=Waveform.SQUARE, period=1.0), + ConstantAmplitudeSignal(mean=3.0, waveform=Waveform.CONSTANT), + ], +) +def test_peak_instants_empty_for_flat_waveforms( + sig: ConstantAmplitudeSignal, +) -> None: + """Square and constant waveforms are hit by any sample.""" + assert sig.peak_instants(5.0).size == 0 + + +# -- measured record from CSV -------------------------------------------------- + + +def write(path: Path, text: str) -> Path: + """Write `text` to `path` and return it.""" + path.write_text(text, encoding="utf-8") + return path + + +def test_from_csv_with_time_column(tmp_path: Path) -> None: + """Values and time instants come from the named columns.""" + text = "t,F,other\n0.0,0,9\n0.1,5000,9\n0.3,-2000,9\n" + path = write(tmp_path / "rec.csv", text) + sig = VariableAmplitudeSignal.from_csv(path, "F", time_column="t") + np.testing.assert_array_equal(sig.values, [0.0, 5000.0, -2000.0]) + np.testing.assert_allclose(sig.instants, [0.0, 0.1, 0.3]) + + +def test_from_csv_without_time_column(tmp_path: Path) -> None: + """Without time column: row order and time_step, or a load sequence.""" + path = write(tmp_path / "rec.csv", " F \n1.0\n\n2.0\n3.0\n") + timed = VariableAmplitudeSignal.from_csv(path, "F", time_step=0.5) + np.testing.assert_allclose(timed.instants, [0.0, 0.5, 1.0]) + sequence = VariableAmplitudeSignal.from_csv(path, "F") + assert sequence.is_sequence + np.testing.assert_array_equal(sequence.values, [1.0, 2.0, 3.0]) + + +def test_from_csv_missing_column_raises(tmp_path: Path) -> None: + """The error names the file and the available columns.""" + path = write(tmp_path / "rec.csv", "t,F\n0,1\n1,2\n") + with pytest.raises(CsvFormatError, match=r"rec\.csv: no column 'G'.*\['t', 'F'\]"): + VariableAmplitudeSignal.from_csv(path, "G") + + +def test_from_csv_time_column_and_step_raises(tmp_path: Path) -> None: + """time_column and time_step are exclusive.""" + path = write(tmp_path / "rec.csv", "t,F\n0,1\n1,2\n") + with pytest.raises(SignalError, match="not both"): + VariableAmplitudeSignal.from_csv(path, "F", time_column="t", time_step=1.0) + + +def test_from_csv_nan_raises_with_line_and_column(tmp_path: Path) -> None: + """A NaN in a used column names the line and the column.""" + path = write(tmp_path / "rec.csv", "t,F\n0,1\n1,nan\n") + with pytest.raises(CsvFormatError, match=r"rec\.csv, line 3, column 'F'.*nan"): + VariableAmplitudeSignal.from_csv(path, "F", time_column="t") + + +def test_from_csv_invalid_signal_names_file(tmp_path: Path) -> None: + """A non-increasing time column is a SignalError naming the file.""" + path = write(tmp_path / "rec.csv", "t,F\n0,1\n0,2\n") + with pytest.raises(SignalError, match=r"rec\.csv: time must be strictly"): + VariableAmplitudeSignal.from_csv(path, "F", time_column="t") + + +def test_read_numeric_csv_lines_and_filter(tmp_path: Path) -> None: + """Line numbers count the header and blank lines; keep filters rows.""" + path = write(tmp_path / "t.csv", "a,b\n1,2\n\n3,4\n5,6\n") + table = read_numeric_csv(path) + assert table.header == ("a", "b") + np.testing.assert_array_equal(table.lines, [2, 4, 5]) + assert table.data.dtype == np.float64 + with pytest.raises(ValueError, match="read-only"): + table.data[0, 0] = 0.0 + kept = read_numeric_csv(path, keep=lambda text: not text.startswith("3")) + np.testing.assert_array_equal(kept.data, [[1.0, 2.0], [5.0, 6.0]]) + empty = read_numeric_csv(write(tmp_path / "e.csv", "a,b\n")) + assert empty.data.shape == (0, 2) + + +def test_read_numeric_csv_in_chunks( + tmp_path: Path, monkeypatch: pytest.MonkeyPatch +) -> None: + """Chunked reading gives the same table as a single read.""" + rows = "".join(f"{i},{2 * i}\n" for i in range(10)) + path = write(tmp_path / "t.csv", "a,b\n" + rows) + monkeypatch.setattr(signal, "_CSV_CHUNK_LINES", 3) + table = read_numeric_csv(path) + np.testing.assert_array_equal(table.data[:, 1], 2.0 * np.arange(10)) + np.testing.assert_array_equal(table.lines, np.arange(2, 12)) + + +@pytest.mark.parametrize( + ("text", "message"), + [ + ("a,b\n1,2\n3,x\n", r"line 3, column 'b': non-numeric value 'x'"), + ("a,b\n1,2\n,4\n", r"line 3, column 'a': non-numeric value ''"), + ("a,b\n1,2\n3,4,5\n", r"line 3: 3 values for the 2 columns"), + ("a,b\n1\n", r"line 2: 1 values for the 2 columns"), + ("", r"line 1: expected a header"), + ("a,,b\n1,2,3\n", r"line 1: expected a header"), + ], +) +def test_read_numeric_csv_errors(tmp_path: Path, text: str, message: str) -> None: + """Format errors name the file, the line and the column.""" + path = write(tmp_path / "bad.csv", text) + with pytest.raises(CsvFormatError, match=r"bad\.csv, " + message): + read_numeric_csv(path) + + +def test_csv_format_error_is_value_error() -> None: + """CsvFormatError can be caught as a ValueError.""" + assert issubclass(CsvFormatError, ValueError)