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new file mode 100644 index 0000000..2b2bb22 --- /dev/null +++ b/_modules/haccytrees/mergertrees/assemble/catalogs2trees/index.html @@ -0,0 +1,677 @@ + + + + + + haccytrees.mergertrees.assemble.catalogs2trees — haccytrees documentation + + + + + + + + + + + + + + + + + +
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Source code for haccytrees.mergertrees.assemble.catalogs2trees

+from typing import Callable, Mapping, Union
+import numpy as np
+import pygio
+import numba
+import gc
+import sys
+from mpi4py import MPI
+
+from ...simulations import Simulation
+from mpipartition import Partition
+from mpipartition import distribute, exchange
+from ...utils.timer import Timer, time
+from ...utils.datastores import GenericIOStore, NumpyStore
+from ...utils.memory import debug_memory
+from .catalogs2trees_hdf5_output import write2multiple, write2single
+from .fieldsconfig import FieldsConfig
+
+
+@numba.jit(nopython=True)
+def _descendant_index(ids, desc_ids):
+    desc_idx = np.empty_like(desc_ids)
+    ids2idx = numba.typed.Dict.empty(numba.int64, numba.int64)
+    for i in range(len(ids)):
+        ids2idx[ids[i]] = i
+
+    progenitor_sizes = np.zeros_like(ids, dtype=np.uint32)
+
+    for i in range(len(desc_ids)):
+        if desc_ids[i] >= 0:
+            dix = ids2idx[desc_ids[i]]
+            desc_idx[i] = dix
+            progenitor_sizes[dix] += 1
+        else:
+            desc_idx[i] = -1
+
+    progenitor_offsets = np.empty_like(progenitor_sizes)
+
+    progenitor_array_size = 0
+    for i in range(len(ids)):
+        progenitor_offsets[i] = progenitor_array_size
+        progenitor_array_size += progenitor_sizes[i]
+
+    progenitor_internal_offsets = np.zeros_like(progenitor_offsets)
+    progenitor_array = np.empty(progenitor_array_size, dtype=np.uint32)
+
+    for i in range(len(desc_ids)):
+        if desc_ids[i] >= 0:
+            dix = ids2idx[desc_ids[i]]
+            progenitor_array[
+                progenitor_offsets[dix] + progenitor_internal_offsets[dix]
+            ] = i
+            progenitor_internal_offsets[dix] += 1
+
+    return desc_idx, progenitor_array, progenitor_offsets
+
+
+@numba.jit(nopython=True)
+def _fill_branch_pos_desc(
+    branch_position,
+    parent_branch_position,
+    branch_size,
+    progenitor_array,
+    progenitor_offsets,
+):
+    for j in range(len(parent_branch_position)):
+        current_pos = parent_branch_position[j] + 1
+        low = progenitor_offsets[j]
+        up = (
+            progenitor_offsets[j + 1]
+            if j + 1 < len(progenitor_offsets)
+            else len(progenitor_array)
+        )
+        for pj in range(low, up):
+            p = progenitor_array[pj]
+            branch_position[p] = current_pos
+            current_pos += branch_size[p]
+
+
+@numba.jit(nopython=True)
+def _fill_branch_pos_new(branch_position, branch_size, current_pos, desc_index):
+    for j in range(len(desc_index)):
+        if desc_index[j] == -1:
+            branch_position[j] = current_pos
+            current_pos += branch_size[j]
+        else:
+            assert branch_position[j] != -1
+    return current_pos
+
+
+@numba.jit(nopython=True)
+def _calculate_branch_size(branch_size, prev_branch_size, desc_index):
+    for j in range(len(desc_index)):
+        if desc_index[j] != -1:
+            branch_size[desc_index[j]] += prev_branch_size[j]
+
+
+def _fill_branch_pos(
+    branch_position,
+    parent_branch_position,
+    branch_size,
+    desc_index,
+    progenitor_array,
+    progenitor_offsets,
+    new_branch_insert_pos,
+):
+    # loop over all progenitors
+    if len(parent_branch_position) > 0:
+        _fill_branch_pos_desc(
+            branch_position,
+            parent_branch_position,
+            branch_size,
+            progenitor_array,
+            progenitor_offsets,
+        )
+
+    # loop over all with desc == -1:
+    current_pos = _fill_branch_pos_new(
+        branch_position, branch_size, new_branch_insert_pos, desc_index
+    )
+    return current_pos
+
+
+def _read_data(
+    partition: Partition,
+    simulation: Simulation,
+    filename: str,
+    logger: Callable,
+    fields_config: FieldsConfig,
+    rebalance: bool,
+    verbose: Union[bool, int],
+):
+    fields_xyz = [
+        fields_config.node_position_x,
+        fields_config.node_position_y,
+        fields_config.node_position_z,
+    ]
+
+    with Timer(name="read treenodes: read genericio", logger=logger):
+        data = pygio.read_genericio(
+            filename,
+            fields_config.read_fields,
+            method=pygio.PyGenericIO.FileIO.FileIOMPI,
+            rebalance_sourceranks=rebalance,
+        )
+
+    # mask invalid data
+    with Timer(name="read treenodes: validate data", logger=logger):
+        mask = np.ones_like(data[fields_xyz[0]], dtype=np.bool_)
+        for k in data.keys():
+            mask &= np.isfinite(data[k])
+        n_invalid = len(mask) - np.sum(mask)
+        if n_invalid > 0:
+            if verbose > 1:
+                print(
+                    f"WARNING rank {partition.rank}: {n_invalid} invalid halos",
+                    flush=True,
+                )
+            for k in data.keys():
+                data[k] = data[k][mask]
+        n_invalid_global = partition.comm.reduce(n_invalid, root=0, op=MPI.SUM)
+        if partition.rank == 0 and n_invalid_global > 0:
+            print(f"WARNING: {n_invalid_global} invalid halos (nan/inf)", flush=True)
+
+    # normalize data
+    for k in fields_xyz:
+        data[k] = np.remainder(data[k], simulation.rl)
+
+    # assign to rank by position
+    with Timer(name="read treenodes: distribute", logger=logger):
+        data = distribute(
+            partition,
+            simulation.rl,
+            data,
+            fields_xyz,
+            verbose=verbose,
+            verify_count=True,
+        )
+
+    # calculate derived fields
+    with Timer(name="read treenodes: calculate derived fields", logger=logger):
+        for k, f in fields_config.derived_fields.items():
+            data[k] = f(data)
+
+    # only keep necessary fields
+    data_new = {}
+    for k in fields_config.keep_fields:
+        data_new[k] = data[k]
+
+    return data_new
+
+
+def _catalog2tree_step(
+    step: int,
+    data_store: Union[GenericIOStore, Mapping],
+    index_store: Union[NumpyStore, Mapping],
+    size_store: Mapping,
+    local_desc: np.ndarray,
+    partition: Partition,
+    simulation: Simulation,
+    treenode_base: str,
+    fields_config: FieldsConfig,
+    do_all2all_exchange: bool,
+    fail_on_desc_not_found: bool,
+    rebalance_gio_read: bool,
+    verbose: Union[bool, int],
+    logger: Callable[[str], None],
+):
+    logger(f"\nSTEP {step:3d}\n--------\n")
+
+    # read data and calculate derived fields (contains its own timers)
+    with Timer(name="read treenodes", logger=logger):
+        if "#" in treenode_base:
+            treenode_filename = treenode_base.replace("#", str(step))
+        else:
+            treenode_filename = f"{treenode_base}{step}.treenodes"
+        data = _read_data(
+            partition=partition,
+            simulation=simulation,
+            filename=treenode_filename,
+            logger=logger,
+            fields_config=fields_config,
+            rebalance=rebalance_gio_read,
+            verbose=verbose,
+        )
+
+    # exchange progenitors that belong to neighboring ranks
+    with Timer(name="exchange descendants", logger=logger):
+        if fail_on_desc_not_found:
+            na_desc_key = None
+        else:
+            na_desc_key = -1
+        data = exchange(
+            partition,
+            data,
+            fields_config.desc_node_index,
+            local_desc,
+            filter_key=lambda idx: idx >= 0,
+            verbose=verbose,
+            do_all2all=do_all2all_exchange,
+            replace_notfound_key=na_desc_key,
+        )
+
+    # sort array by descendant index, most massive first
+    with Timer(name="sort arrays", logger=logger):
+        s = np.lexsort(
+            (data[fields_config.desc_node_index], data[fields_config.tree_node_mass])
+        )[::-1]
+        for k in data.keys():
+            data[k] = data[k][s]
+
+    # get index to descendant for each progenitor, and an inverse list of progenitors for each descendant
+    with Timer(name="assign progenitors", logger=logger):
+        desc_idx, progenitor_array, progenitor_offsets = _descendant_index(
+            local_desc, data[fields_config.desc_node_index]
+        )
+        if len(progenitor_array) and progenitor_array.min() < 0:
+            print(
+                f"invalid progenitor array on rank {partition.rank}",
+                file=sys.stderr,
+                flush=True,
+            )
+            partition.comm.Abort()
+    # prepare next step:
+    local_ids = data["tree_node_index"]
+
+    # store data
+    data_store[step] = data
+    index_store[step] = {
+        "desc_idx": desc_idx,
+        "progenitor_array": progenitor_array,
+        "progenitor_offsets": progenitor_offsets,
+    }
+    size_store[step] = len(local_ids)
+
+    return local_ids
+
+
+
[docs]def catalog2tree( + simulation: Simulation, + treenode_base: str, + fields_config: FieldsConfig, + output_file: str, + *, # The following arguments are keyword-only + temporary_path: str = None, + do_all2all_exchange: bool = False, + split_output: bool = False, + fail_on_desc_not_found: bool = True, + rebalance_gio_read: bool = False, + mpi_waittime: float = 0, + logger: Callable[[str], None] = None, + verbose: Union[bool, int] = False, +) -> None: + """The main routine that converts treenode-catalogs to HDF5 treenode forests + + [add basic outline of algorithm] + + Parameters + ---------- + simulation + a :class:`Simulation` instance containing the cosmotools steps + + treenode_base + the base path for the treenode files. + - if ``treenode_base`` contains ``#``, ``#`` will be replace by the current step number + - otherwise, the path will be completed by appending ``[step].treenodes``. + + fields_config + a :class:`FieldsConfig` instance, containing the treenodes filed names + + output_file + base path for the output file(s) + + temporary_path + base path for temporary files. Note: folders must exist. + + do_all2all_exchange + if ``False``, will exchange among neighboring ranks first and then + all2all. If ``True``, will do all2all directly + + split_output + if ``True``, forests will be stored in multiple HDF5 files (one per + rank). If ``False``, all data will be combined in a single file (might + not be feasible for large simulations) + + fail_on_desc_not_found + if ``True``, will abort if a descendant halo cannot be found among all + ranks. If ``False``, the orphaned halo will become the root of the + subtree. + + rebalance_gio_read + if ``True``, will reassign the reading ranks for the treenode files. Can + be slower or faster. + + mpi_waittime + time in seconds for which the code will wait for the MPI to be + initialized. Can help with some MPI errors (on cooley) + + logger + a logging function, e.g. ``print`` + + verbose + verbosity level, either 0, 1, or 2 + """ + # Set a timer for the full run + total_timer = Timer("total time", logger=None) + total_timer.start() + + # Initialize MPI partition + time.sleep(mpi_waittime) + partition = Partition(create_neighbor_topo=not do_all2all_exchange) + + # Wait a sec... (maybe solves MPI issues?) + time.sleep(mpi_waittime) + + # Used to print status messages, only from rank 0 + def logger(x, **kwargs): + kwargs.pop("flush", None) + partition.comm.Barrier() + if partition.rank == 0: + print(x, flush=True, **kwargs) + + # Print MPI configuration + if partition.rank == 0: + print(f"Running catalog2tree with {partition.nranks} ranks") + if verbose: + print("Partition topology:") + print(" Decomposition: ", partition.decomposition) + print(" Ranklist: \n", partition.ranklist) + print("", flush=True) + if verbose > 1: + for i in range(partition.nranks): + if partition.rank == i: + print(f"Rank {i}", flush=True) + print(" Coordinates: ", partition.coordinates) + print(" Extent: ", partition.extent) + print(" Origin: ", partition.origin) + print(" Neighbors: ", partition.neighbors) + if not do_all2all_exchange: + n26 = partition.neighbor_ranks + print(" 26-neighbors N : ", len(n26)) + print(" 26-neighbors : ", n26) + print("", flush=True) + partition.comm.Barrier() + + # cosmotools steps + steps = simulation.cosmotools_steps + + # read final snapshot (tree roots) + with Timer(name="read treenodes", logger=logger): + if "#" in treenode_base: + treenode_filename = treenode_base.replace("#", str(steps[-1])) + else: + treenode_filename = f"{treenode_base}{steps[-1]}.treenodes" + data = _read_data( + partition, + simulation, + treenode_filename, + logger, + fields_config, + rebalance=rebalance_gio_read, + verbose=verbose, + ) + + # sort by tree_node_index + with Timer(name="sort arrays", logger=logger): + s = np.argsort(data[fields_config.tree_node_index]) + for k in data.keys(): + data[k] = data[k][s] + + local_ids = data[fields_config.tree_node_index] + dtypes = {k: i.dtype for k, i in data.items()} + + # Containers to store local data from each snapshot + data_by_step = GenericIOStore(partition, simulation.rl, temporary_path) + data_by_step[steps[-1]] = data + + index_by_step = NumpyStore(partition, temporary_path) + index_by_step[steps[-1]] = { + "desc_idx": -1.0 * np.ones(len(s), dtype=np.int64), + "progenitor_array": np.empty(0, dtype=np.uint32), + "progenitor_offsets": np.empty(0, dtype=np.uint32), + } + size_by_step = {steps[-1]: len(local_ids)} + + # iterate over previous snapshots: read, assign, prepare ordering + for step in steps[-2::-1]: + local_ids = _catalog2tree_step( + step, + data_by_step, + index_by_step, + size_by_step, + local_ids, + partition, + simulation, + treenode_base, + fields_config, + do_all2all_exchange, + fail_on_desc_not_found, + rebalance_gio_read, + verbose, + logger, + ) + gc.collect() # explicitly free memory + if verbose: + debug_memory(partition, "AFTER GC") + + # local and total size of forest + local_size = sum([l for s, l in size_by_step.items()]) + + logger("\nBUILDING TREE\n-------------\n") + # size of branches, iteratively + with Timer("calculate branch sizes", logger=logger): + branch_sizes = { + step: np.ones(l, dtype=np.uint64) for step, l in size_by_step.items() + } + desc_index = np.empty(0, dtype=np.int64) + prev_branch_size = np.empty(0, dtype=np.uint64) + for i, step in enumerate(steps): + branch_size = branch_sizes[step] + _calculate_branch_size(branch_size, prev_branch_size, desc_index) + + prev_branch_size = branch_size + next_indices = index_by_step[step] + desc_index = next_indices["desc_idx"] + + if verbose: + debug_memory(partition, "AFTER BRANCH SIZE") + + # index to where in the forest each halo goes + with Timer("calculate array positions", logger=logger): + branch_positions = {} + parent_branch_position = np.empty(0, dtype=np.int64) + new_branch_insert_pos = 0 + for i, step in enumerate(steps[::-1]): + branch_size = branch_sizes[step] + next_indices = index_by_step[step] + desc_index = next_indices["desc_idx"] + # convert array and offsets to list of lists + # progenitor_idx = np.array_split(next_indices['progenitor_array'], next_indices['progenitor_offsets'][1:]) + + branch_position = -np.ones(len(branch_size), dtype=np.int64) + current_pos = _fill_branch_pos( + branch_position, + parent_branch_position, + branch_size, + desc_index, + next_indices["progenitor_array"], + next_indices["progenitor_offsets"], + new_branch_insert_pos, + ) + # mark end-of-table + new_branch_insert_pos = current_pos + + # update for next iteration + parent_branch_position = branch_position + branch_positions[step] = branch_position + + if verbose: + debug_memory(partition, "AFTER ARRAY POS") + + # Assert that we got all halos + if new_branch_insert_pos != local_size: + print( + f"Error (rank {partition.rank}): forest size is {new_branch_insert_pos} " + f"instead of {local_size}", + flush=True, + ) + partition.comm.Abort() + + # write data + with Timer("output HDF5 forest", logger=logger): + if split_output: + write2multiple( + partition, + steps, + local_size, + branch_sizes, + branch_positions, + data_by_step, + fields_config, + dtypes, + output_file, + logger, + ) + else: + write2single( + partition, + steps, + local_size, + branch_sizes, + branch_positions, + data_by_step, + fields_config, + dtypes, + output_file, + logger, + ) + + logger("cleanup...") + for step in simulation.cosmotools_steps: + data_by_step.remove(step) + index_by_step.remove(step) + + total_timer.stop() + + if partition.rank == 0: + print("\n----------------------------------------\n") + print("Forest creation finished!\n") + print("Final timers:") + timer_names = list(Timer.timers.keys()) + timer_names.sort() + maxtimerlen = max([len(n) for n in timer_names]) + 1 + for n, t in Timer.timers.items(): + print(f"{n:{maxtimerlen}s}: {t:4e}s") + + partition.comm.Barrier()
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+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/mergertrees/forest_manipulation/index.html b/_modules/haccytrees/mergertrees/forest_manipulation/index.html new file mode 100644 index 0000000..5f75633 --- /dev/null +++ b/_modules/haccytrees/mergertrees/forest_manipulation/index.html @@ -0,0 +1,351 @@ + + + + + + haccytrees.mergertrees.forest_manipulation — haccytrees documentation + + + + + + + + + + + + + + + + + +
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Source code for haccytrees.mergertrees.forest_manipulation

+import numpy as np
+import numba
+from typing import Mapping, Union
+
+from ..simulations import Simulation
+
+
+@numba.jit(nopython=True, parallel=True)
+def _get_mainbranch(snapnum, target_indices, mainbranch_matrix):
+    ntargets = len(target_indices)
+    nhalos = len(snapnum)
+    for i in numba.prange(ntargets):
+        idx = target_indices[i]
+        sn = snapnum[idx]
+        mainbranch_matrix[i, sn] = idx
+        while idx + 1 < nhalos and snapnum[idx + 1] < sn:
+            idx += 1
+            sn = snapnum[idx]
+            mainbranch_matrix[i, sn] = idx
+
+
+
[docs]def get_mainbranch_indices( + forest: Mapping[str, np.ndarray], + simulation: Union[str, Simulation], + target_index: np.ndarray, +) -> np.ndarray: + """Extract main progenitor branches in a matrix format: ``(n_targets x n_steps)`` + + Parameters + ---------- + forest: + the full treenode forest returned by :func:`read_forest` + + simulation: + either a valid simulation string or an instance of :class:`Simulation`, + required to get the number of cosmotools steps. + + target_index: + the indices of the halos for which the main progenitor branch should + be extracted. + + Returns + ------- + mainbranch_indices: np.ndarray + the indices of the halos in the main progenitor branches. Each column `j` + corresponds to the main branch of the `j`-th target_halo. Each row + corresponds to a cosmotools step (with 0 being the first step). At times + where the halo did not exist, the index is `-1`. + """ + if isinstance(simulation, str): + simulation = Simulation.simulations[simulation] + if not isinstance(target_index, np.ndarray): + if hasattr(target_index, "__len__"): + target_index = np.array(target_index) + else: + target_index = np.array([target_index]) + nhalos = len(target_index) + nsteps = len(simulation.cosmotools_steps) + + # allocate an index array + mainbranch_indices = np.empty((nhalos, nsteps), dtype=np.int64) + mainbranch_indices[:] = -1 + + # fill index array + _get_mainbranch(forest["snapnum"], target_index, mainbranch_indices) + return mainbranch_indices
+ + +@numba.jit(nopython=True) +def _accumulate_infall_histogram( + counts, + mass, + desc_index, + target_index, + branch_size, + mass_min, + mass_max, +): + n_targets = len(target_index) + nbins = len(counts) + dm = (mass_max - mass_min) / nbins + for j in range(n_targets): + root_index = target_index[j] + end_index = root_index + for i in range(root_index + 1, root_index + branch_size[root_index]): + if desc_index[i] == end_index: + # main progenitor branch + end_index = i + continue + if desc_index[i] > end_index: + # doesn't merge into main branch + continue + mass_bin = int((mass[i] - mass_min) / dm) + if mass_bin >= 0 and mass_bin < nbins: + counts[mass_bin] += 1 + + +
[docs]def get_infall_histogram( + forest: Mapping[str, np.ndarray], + target_index: np.ndarray, + mass_min: float, + mass_max: float, + nbins: int, + logbins: bool = True, +) -> np.ndarray: + """Get a histogram of infall masses, integrated over all snapshots and target_index + + This function counts the halos that fall onto the main progenitor branches of the + halos specified by target_index and bins them according to their masses + + Parameters + ---------- + forest: + the full treenode forest returned by :func:`read_forest` + + target_index: + the indices of the halos for which the infall masses should be accumulated + + mass_min: + lower mass bound for histogram + + mass_max: + upper mass bound for histogram + + nbins: + number of bins in the histogram, linearly or logarithmically spread from min to + max + + logbins: + if ``True``, the bins will be logarithmically distributed, otherwise linearly + + Returns + ------- + counts: np.ndarray + the indices of the n-th most massive progenitors (determined by the + tree-node mass). -1 if the progenitor does not exist. + """ + counts = np.zeros(nbins, dtype=np.int64) + mass = forest["tree_node_mass"] + if logbins: + mass = np.log10(mass) + mass_min = np.log10(mass_min) + mass_max = np.log10(mass_max) + _accumulate_infall_histogram( + counts, + mass, + forest["descendant_idx"], + target_index, + forest["branch_size"], + mass_min, + mass_max, + ) + return counts
+ + +@numba.jit(nopython=True, parallel=True) +def _get_nth_progenitor_indices( + progenitor_array, + progenitor_offsets, + progenitor_count, + target_indices, + progenitor_indices, + n, +): + ntargets = len(target_indices) + for i in numba.prange(ntargets): + idx = target_indices[i] + nprogs = progenitor_count[idx] + if nprogs < n: + progenitor_indices[i] = -1 + else: + progenitor_indices[i] = progenitor_array[progenitor_offsets[idx] + n - 1] + + +
[docs]def get_nth_progenitor_indices( + forest: Mapping[str, np.ndarray], + progenitor_array: np.ndarray, + target_index: np.ndarray, + n: int, +) -> np.ndarray: + """Extract indices of the n-th most massive progenitor for each target halo + + The index array returned has the same length as target_index. Invalid + indices are masked with -1 (i.e. if the halo does not have n progenitors) + + Parameters + ---------- + forest: + the full treenode forest returned by :func:`read_forest` + + progenitor_array: + the full progenitor array created by :func:`read_forest` + + target_index: + the indices of the halos for which the merger indices should be + extracted. + + n: + the n-th progenitor. ``0`` corresponds to the main progenitor, ``1`` to + the main merger halo, etc. + + Returns + ------- + merger_indices: np.ndarray + the indices of the n-th most massive progenitors (determined by the + tree-node mass). -1 if the progenitor does not exist. + """ + if n <= 0: + raise ValueError("n needs to be larger than 0 (1==main progenitor)") + + if not isinstance(target_index, np.ndarray): + if hasattr(target_index, "__len__"): + target_index = np.array(target_index) + else: + target_index = np.array([target_index]) + nhalos = len(target_index) + + # allocate an index array + progenitor_indices = np.empty(nhalos, dtype=np.int64) + + # fill index array + _get_nth_progenitor_indices( + progenitor_array, + forest["progenitor_offset"], + forest["progenitor_count"], + target_index, + progenitor_indices, + n, + ) + return progenitor_indices
+
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/mergertrees/forest_matrix/index.html b/_modules/haccytrees/mergertrees/forest_matrix/index.html new file mode 100644 index 0000000..dc144db --- /dev/null +++ b/_modules/haccytrees/mergertrees/forest_matrix/index.html @@ -0,0 +1,302 @@ + + + + + + haccytrees.mergertrees.forest_matrix — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+
    +
  • + + +
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+
+
+
+
+ +

Source code for haccytrees.mergertrees.forest_matrix

+import numpy as np
+import numba
+from typing import Mapping, Union
+
+from ..simulations import Simulation
+
+
+@numba.jit(nopython=True)
+def _count_rows(snapnum, desc_index, mass, row_idx, mass_threshold=0):
+    nhalos = len(snapnum)
+    lastsnap = snapnum[0]
+    current_row = 0
+    row_above_threshold = False
+    for i in range(nhalos):
+        if desc_index[i] == -1 or snapnum[i] >= lastsnap:
+            row_above_threshold = mass[i] > mass_threshold
+            if row_above_threshold:
+                current_row += 1
+        # elif snapnum[i] >= lastsnap:
+        #     current_row += 1
+        lastsnap = snapnum[i]
+        row_idx[i] = current_row - 1 if row_above_threshold else -1
+    return current_row
+
+
+@numba.jit(nopython=True, parallel=True)
+def _fill_matrix(mat, data, row_idx, col_idx):
+    for i in numba.prange(len(data)):
+        if row_idx[i] > -1:
+            mat[row_idx[i], col_idx[i]] = data[i]
+
+
+@numba.jit(nopython=True)
+def _fill_hostidx(
+    tree_node_index_mat, fof_halo_tag_mat, top_host_row_mat, direct_host_row_mat, parent_tni_mat, parent_fof_mat,
+):
+    nrows = tree_node_index_mat.shape[0]
+    ncols = tree_node_index_mat.shape[1]
+    host_rows_per_snap = np.empty(ncols, dtype=np.int64)
+    host_rows_per_snap[:] = -1
+    for i in range(nrows):
+        infall_col = 0
+        for j in range(ncols):
+            if tree_node_index_mat[i, j] == 0:
+                if infall_col == 0:
+                    # halo doesn't exist yet at this snapshot
+                    continue
+                else:
+                    # this is a subhalo
+                    host_row = host_rows_per_snap[j]
+                    top_host_row = top_host_row_mat[host_row, j]
+                    direct_host_row_mat[i, j] = host_row
+                    top_host_row_mat[i, j] = (
+                        top_host_row if top_host_row != -1 else host_row
+                    )
+                    parent_tni_mat[i, j] = tree_node_index_mat[top_host_row, j]
+                    parent_fof_mat[i, j] = fof_halo_tag_mat[top_host_row, j]
+            else:
+                # a top halo
+                infall_col = j
+                host_rows_per_snap[j] = i
+                parent_tni_mat[i, j] = tree_node_index_mat[i, j]
+                parent_fof_mat[i, j] = fof_halo_tag_mat[i, j]
+
+
+
[docs]def forest2matrix( + forest: Mapping[str, np.ndarray], + simulation: Union[str, Simulation], + target_index: int = None, + *, + subhalo_data: Mapping[str, np.ndarray] = None, + branchmass_threshold: float = None, +) -> Mapping[str, np.ndarray]: + """Convert a haccytree forest to a matrix, where each row is a branch + + Parameters + ---------- + forest: + the full treenode forest returned by :func:`read_forest` + + simulation: + the full progenitor array created by :func:`read_forest` + + target_index: + (optional) if set, a matrix of only the tree starting at `target_index` will be + calculated + + subhalo_data: + currently does nothing + + branchmass_threshold: + if set, removes all branches that have a mass below the threshold at infall + + + Returns + ------- + matrices: Mapping[str, np.ndarray] + arrays of shape `(nbranches, nsnapshots)` for each of the forest properties. + Additionally, `matrices["top_host_row"]` contains the row number of the main + host, `matrices["direct_host_row"]` contains the row of the direct host in + the hierarchy, and `matrices["parent_tni"] contains the `tree_node_index` of the + main (top) host halo. `top_host_row` and `direct_host_row` are `-1` for host + halos. `parent_tni` of a host halo is its own `tree_node_index`. + + + Notes + ----- + All the properties (except `top_host_row`, `direct_host_row`, `parent_tni`) are 0 + for entries where the halo does not exist or when the halo is a subhalo. For + `top_host_row`, `direct_host_row`, and `parent_tni`, the values are `-1` prior to + the nucleation of the branch. + + """ + if isinstance(simulation, str): + simulation = Simulation.simulations[simulation] + + if target_index is not None: + start = target_index + end = target_index + forest["branch_size"][target_index] + forest = {k: forest[k][start:end] for k in forest.keys()} + # make sure we don't use invalid indices... + forest.pop("halo_index", None) + forest.pop("descendant_idx", None) + + ncols = len(simulation.cosmotools_steps) + nhalos = len(forest["snapnum"]) + col_idx = forest["snapnum"] + + row_idx = np.empty(nhalos, dtype=np.int64) + mass_threshold = 0 if branchmass_threshold is None else branchmass_threshold + nrows = _count_rows( + forest["snapnum"], + forest["desc_node_index"], + forest["tree_node_mass"], + row_idx, + mass_threshold=mass_threshold, + ) + + # remove forest specific keys + data_keys = set(forest.keys()) + discard_keys = [ + "branch_size", + "descendant_idx", + "progenitor_count", + "progenitor_offset", + "halo_index", + "scale_factor", + "snapnum", + ] + for k in discard_keys: + data_keys.discard(k) + + matrices = {} + for k in data_keys: + data = forest[k] + matrices[k] = np.zeros((nrows, ncols), dtype=data.dtype) + _fill_matrix(matrices[k], data, row_idx, col_idx) + + # subhalo data: contains 'mass', 'hostidx', 'direct_hostidx', 'infallidx', 'snapnum' + if subhalo_data is not None: + # copy mass + pass + + # Additional indices + matrices["top_host_row"] = np.empty((nrows, ncols), dtype=np.int64) + matrices["top_host_row"][:] = -1 + matrices["direct_host_row"] = np.empty((nrows, ncols), dtype=np.int64) + matrices["direct_host_row"][:] = -1 + matrices["parent_tni"] = np.empty((nrows, ncols), dtype=np.int64) + matrices["parent_tni"][:] = -1 + matrices["parent_fof"] = np.empty((nrows, ncols), dtype=np.int64) + _fill_hostidx( + matrices["tree_node_index"], + matrices["fof_halo_tag"], + matrices["top_host_row"], + matrices["direct_host_row"], + matrices["parent_tni"], + matrices["parent_fof"] + ) + + return matrices
+
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/mergertrees/forest_reader/index.html b/_modules/haccytrees/mergertrees/forest_reader/index.html new file mode 100644 index 0000000..85d5f90 --- /dev/null +++ b/_modules/haccytrees/mergertrees/forest_reader/index.html @@ -0,0 +1,535 @@ + + + + + + haccytrees.mergertrees.forest_reader — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
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+
+
    +
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+
+
+
+
+ +

Source code for haccytrees.mergertrees.forest_reader

+import numpy as np
+import numba
+import h5py
+from typing import Tuple, Mapping, Union, Optional, List
+
+from ..simulations import Simulation
+
+# These fields will always be loaded from the HDF5 files
+_essential_fields = ["tree_node_index", "desc_node_index", "snapnum", "branch_size"]
+
+
+@numba.jit(nopython=True)
+def _create_desc_index(snapnum, desc_node_index):
+    """Creating an array index for each halo, given by the data order
+
+    Parameters
+    ----------
+    snapnum
+        the full "snapnum" data array of the merger forest
+
+    desc_node_index
+        the desc_node_index array of the merger forests, required since we have
+        some trees that are not rooted at z=0 (final snapshot), and therefore
+        we need to know when we start a new tree (desc_node_index==-1)
+
+    Notes
+    -----
+    The function keeps track of the current tree hierachy by the snap_roots
+    array, where each entry has the array index of the last halo at that
+    snapshot as we traverse a tree. The descendant index of a halo at index i is
+    then the value of ``snap_roots[snapnum[i] + 1]``
+
+    """
+    N = len(snapnum)
+
+    # Allocate desc_index
+    desc_index = np.empty(N, dtype=np.int64)
+    desc_index[:] = -1
+
+    # Keep track of roots at each snap
+    snapmax = np.max(snapnum)
+    snap_roots = np.empty(int(snapmax + 3), dtype=np.int64)
+    snap_roots[:] = -1
+
+    prev_sn = snapmax
+    for i in range(N):
+        sn = snapnum[i] + 1
+        # check if it's a new root
+        if desc_node_index[i] < 0:
+            # this is only necessary because we may have roots at z>0 (halos
+            # that disappear)
+            snap_roots[:] = -1
+        else:
+            # cleanup previous step
+            for j in range(sn, prev_sn):
+                snap_roots[j] = -1
+
+        desc_index[i] = snap_roots[sn + 1]
+        snap_roots[sn] = i
+        prev_sn = sn
+
+    return desc_index
+
+
+@numba.jit(nopython=True)
+def _create_progenitor_idx(desc_index):
+    N = len(desc_index)
+
+    # Count how many progenitors each halo has
+    progenitor_count = np.zeros(N, dtype=np.uint32)
+    for i in range(N):
+        dix = desc_index[i]
+        if dix != -1:
+            progenitor_count[dix] += 1
+
+    progenitor_offsets = np.empty(N, dtype=np.uint64)
+    progenitor_array_size = 0
+    for i in range(N):
+        progenitor_offsets[i] = progenitor_array_size
+        progenitor_array_size += progenitor_count[i]
+
+    # Create an array that will hold indices to progenitors for each halo
+    progenitor_array = np.empty(progenitor_array_size, dtype=np.int64)
+    progenitor_array[:] = -2  # nothing should be -2 after
+
+    # A temporary array to keep current offsets to write progenitor indices
+    progenitor_localoffsets = np.zeros(N, dtype=np.uint32)
+
+    for i in range(N):
+        dix = desc_index[i]
+        if dix != -1:
+            write_pos = progenitor_offsets[dix] + progenitor_localoffsets[dix]
+            progenitor_array[write_pos] = i
+            progenitor_localoffsets[dix] += 1
+
+    return progenitor_array, progenitor_count, progenitor_offsets
+
+
+def _create_indices(snapnum, desc_node_index):
+    desc_index = _create_desc_index(snapnum, desc_node_index)
+    progenitor_array, progenitor_count, progenitor_offsets = _create_progenitor_idx(
+        desc_index
+    )
+    return desc_index, progenitor_array, progenitor_count, progenitor_offsets
+
+
+@numba.jit(nopython=True)
+def _get_massthreshold_mask(
+    snapnum, tree_node_mass, desc_node_index, mask, threshold_mass, snap0
+):
+    nhalos = len(snapnum)
+    snap_roots = np.empty(snap0 + 1, dtype=numba.bool_)
+    snap_roots[:] = True
+    lastsnap = snapnum[0]
+    for i in range(nhalos):
+        # print(i, snap_roots)
+        if desc_node_index[i] < 0:
+            # a completely new root
+            snap_roots[:] = True
+
+        elif snapnum[i] >= lastsnap:
+            # we are at a new branch
+            for s in range(lastsnap, snapnum[i]):
+                snap_roots[s] = True
+        desc_valid = desc_node_index[i] < 0 or snap_roots[snapnum[i] + 1]
+        mask[i] = tree_node_mass[i] > threshold_mass and desc_valid
+        snap_roots[snapnum[i]] = mask[i]
+        lastsnap = snapnum[i]
+
+
+@numba.jit(nopython=True, parallel=True)
+def _fix_branch_size(branch_size, mask):
+    nhalos = len(branch_size)
+    cumulative_counter = np.zeros(nhalos + 1, dtype=np.uint64)
+    current_counter = 0
+    for i in range(nhalos):
+        cumulative_counter[i] = current_counter
+        current_counter += mask[i]
+    cumulative_counter[nhalos] = current_counter
+
+    for i in numba.prange(nhalos):
+        end = i + branch_size[i]
+        branch_size[i] = cumulative_counter[end] - cumulative_counter[i]
+
+
+
[docs]def read_forest( + filename: str, + simulation: Union[str, Simulation], + *, + nchunks: int = None, + chunknum: int = None, + include_fields: List[str] = None, + create_indices: bool = True, + add_scale_factor: bool = True, + mass_threshold: float = None, + include_non_z0_roots: bool = False, +) -> Tuple[Mapping[str, np.ndarray], Optional[np.ndarray]]: + """Read a HDF5 merger-forest + + Parameters + ---------- + + filename + the path to the merger forest file + + simulation + either a valid simulation name or a Simulation instance, used to add the + scale factor to the output + + nchunks + if not None, the file will be split in ``nchunks`` equally-sized parts + + chunknum + if ``nchunks`` is set, ``chunknum`` determines which chunk number will + be read. First chunk has ``chunknum=0``, has to be smaller than + ``nchunks``. + + include_fields + the columns that will be read from the HDF5 file. If ``None``, all data + will be read. Note: some essential columns will always be read, check + ``haccytrees.mergertrees.forest_reader._essential_fields``. + + create_indices + if ``True``, will add descendant_idx``, ``progenitor_count``, + ``progenitor_offset`` to the forest and return the ``progenitor_array`` + + add_scale_factor + if ``True``, will add the scale factor column to the forest data + + mass_threshold + if not ``None``, the reader will prune all halos below the specified + mass threshold (in Msun/h) + + include_non_z0_roots + if True, will also include trees that are not rooted at z=0 (i.e. halos + that for some reason "disappear" during the evolution) + + Returns + ------- + forest: Mapping[str, np.ndarray] + the merger tree forest data + + progenitor_array: Optional[np.ndarray] + a progenitor index array that can be used together with the + ``progenitor_offset`` and ``progenitor_count`` arrays in the forest + data in order to easily find all progenitors of a halo. Only returned if + ``create_indices=True``. + + """ + if isinstance(simulation, str): + if simulation[:-4] == ".cfg": + simulation = Simulation.parse_config(simulation) + else: + simulation = Simulation.simulations[simulation] + + root_step = simulation.cosmotools_steps[-1] + + with h5py.File(filename, "r") as f: + nhalos = len(f["forest"]["tree_node_index"]) + roots = np.array(f[f"index_{root_step}"]["index"]) + nroots = len(roots) + if include_non_z0_roots: + file_end = nhalos + else: + file_end = roots[-1] + f["forest"]["branch_size"][roots[-1]] + + if nchunks is not None: + chunksize = nroots // nchunks + if chunknum is None: + print("Warning: no chunknum specified, reading first chunk") + chunknum = 0 + if chunknum >= nchunks: + print(f"invalid chunknum: {chunknum} needs to be smaller than {nchunks}") + start = roots[chunknum * chunksize] + if chunknum == nchunks - 1: + end = file_end + else: + end = roots[(chunknum + 1) * chunksize] + else: + start = 0 + end = file_end + + with h5py.File(filename, "r") as f: + forest = f["forest"] + if include_fields is None: + include_fields = list(forest.keys()) + else: + for k in _essential_fields: + if k not in include_fields: + include_fields.append(k) + data = {} + for k in include_fields: + data[k] = np.array(forest[k][start:end]) + + if mass_threshold is not None: + mask = np.empty(len(data["snapnum"]), dtype=np.bool) + # snapnum, tree_node_mass, desc_node_index, mask, threshold_mass, snap0 + _get_massthreshold_mask( + data["snapnum"], + data["tree_node_mass"], + data["desc_node_index"], + mask, + mass_threshold, + len(simulation.cosmotools_steps), + ) + + # Fix branch size + _fix_branch_size(data["branch_size"], mask) + + # Apply mask + for k in data.keys(): + data[k] = data[k][mask] + + if add_scale_factor: + steps = np.array(simulation.cosmotools_steps) + timestep = steps[data["snapnum"]] + data["scale_factor"] = simulation.step2a(timestep) + + if create_indices: + indices = _create_indices(data["snapnum"], data["desc_node_index"]) + progenitor_array = indices[1] + data["descendant_idx"] = indices[0] + data["progenitor_count"] = indices[2] + data["progenitor_offset"] = indices[3] + data["halo_index"] = np.arange(len(indices[0])) + return data, progenitor_array + else: + return data, None
+ + +def read_forest_targets( + filename: str, + simulation: Union[str, Simulation], + root_indices: List[int], + *, + include_fields: List[str] = None, + create_indices: bool = True, + add_scale_factor: bool = True, + mass_threshold: float = None, +) -> Tuple[Mapping[str, np.ndarray], Optional[np.ndarray]]: + """Read a HDF5 merger-forest + + Parameters + ---------- + + filename + the path to the merger forest file + + simulation + either a valid simulation name or a Simulation instance, used to add the + scale factor to the output + + root_indices + the start points of the subtrees that should be read (offset in the forest + arrays) + + include_fields + the columns that will be read from the HDF5 file. If ``None``, all data + will be read. Note: some essential columns will always be read, check + ``haccytrees.mergertrees.forest_reader._essential_fields``. + + create_indices + if ``True``, will add descendant_idx``, ``progenitor_count``, + ``progenitor_offset`` to the forest and return the ``progenitor_array`` + + add_scale_factor + if ``True``, will add the scale factor column to the forest data + + mass_threshold + if not ``None``, the reader will prune all halos below the specified + mass threshold (in Msun/h) + + Returns + ------- + forest: Mapping[str, np.ndarray] + the merger tree forest data + + progenitor_array: Optional[np.ndarray] + a progenitor index array that can be used together with the + ``progenitor_offset`` and ``progenitor_count`` arrays in the forest + data in order to easily find all progenitors of a halo. Only returned if + ``create_indices=True``. + + """ + if isinstance(simulation, str): + simulation = Simulation.simulations[simulation] + with h5py.File(filename, "r") as f: + roots = np.array(f["index_499"]["index"]) + file_end = roots[-1] + f["forest"]["branch_size"][roots[-1]] + assert np.max(root_indices) < file_end + starts = np.array(root_indices) + ends = starts + f["forest"]["branch_size"][root_indices] + + root_sizes = ends - starts + data_size = np.sum(root_sizes) + + with h5py.File(filename, "r") as f: + forest = f["forest"] + if include_fields is None: + include_fields = list(forest.keys()) + else: + for k in _essential_fields: + if k not in include_fields: + include_fields.append(k) + + # allocate + data = {} + for k in include_fields: + data[k] = np.empty(data_size, dtype=forest[k].dtype) + + # read + offset = 0 + for i in range(len(root_indices)): + for k in include_fields: + data[k][offset : offset + root_sizes[i]] = forest[k][ + starts[i] : ends[i] + ] + offset += root_sizes[i] + assert offset == data_size + + if mass_threshold is not None: + mask = np.empty(len(data["snapnum"]), dtype=np.bool) + # snapnum, tree_node_mass, desc_node_index, mask, threshold_mass, snap0 + _get_massthreshold_mask( + data["snapnum"], + data["tree_node_mass"], + data["desc_node_index"], + mask, + mass_threshold, + len(simulation.cosmotools_steps), + ) + + # Fix branch size + _fix_branch_size(data["branch_size"], mask) + + # Apply mask + for k in data.keys(): + data[k] = data[k][mask] + + if add_scale_factor: + steps = np.array(simulation.cosmotools_steps) + timestep = steps[data["snapnum"]] + data["scale_factor"] = simulation.step2a(timestep) + + if create_indices: + indices = _create_indices(data["snapnum"], data["desc_node_index"]) + progenitor_array = indices[1] + data["descendant_idx"] = indices[0] + data["progenitor_count"] = indices[2] + data["progenitor_offset"] = indices[3] + data["halo_index"] = np.arange(len(indices[0])) + return data, progenitor_array + else: + return data, None +
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+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/mergertrees/fragments/index.html b/_modules/haccytrees/mergertrees/fragments/index.html new file mode 100644 index 0000000..bc57df1 --- /dev/null +++ b/_modules/haccytrees/mergertrees/fragments/index.html @@ -0,0 +1,281 @@ + + + + + + haccytrees.mergertrees.fragments — haccytrees documentation + + + + + + + + + + + + + + + + + +
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Source code for haccytrees.mergertrees.fragments

+import numpy as np
+import numba
+from typing import Tuple, Mapping, List
+
+
+
[docs]def split_fragment_tag(tag: int) -> Tuple[int, int]: + """Extracting the original fof_tag and fragment index from fragments + + Parameters + ---------- + tag + the fof_tag of the fragment, has to be negative by definition + + Returns + ------- + fof_tag + the original fof_tag of the FoF halo the fragment is associated with + + fragment_idx + the index / enumeration of the fragment (0 == main fragment) + + Notes + ----- + This function can also be used with numpy arrays directly + + """ + tag = -tag #reverting the - operation first + fragment_idx = tag >> 48 + fof_tag = tag & ((1<<48) - 1) + return fof_tag, fragment_idx
+ + +@numba.jit(nopython=True) +def _fix_fragment_property_constrev(snapnum, fof_tag, data_in, data_out): + nhalos = len(snapnum) + lastsnap = snapnum[0] + lastval = data_in[0] + for i in range(nhalos): + _index = 0 + _tag = fof_tag[i] + if _tag < 0: + _tag = -_tag + _index = _tag >> 48 + _tag = _tag & ((1<<48) - 1) + if _index == 0 or snapnum[i] >= lastsnap: + lastval = data_in[i] + data_out[i] = lastval + lastsnap = snapnum[i] + + +@numba.jit(nopython=True) +def _fix_fragment_property_linear(snapnum, fof_tag, data_in, data_out, mask_neg): + nhalos = len(snapnum) + lastsnap = snapnum[0] + start_index = 0 + for i in range(nhalos): + _index = 0 + _tag = fof_tag[i] + if _tag < 0: + _tag = -_tag + _index = _tag >> 48 + _tag = _tag & ((1<<48) - 1) + + if snapnum[i] >= lastsnap: + # we are in a new branch, discard current fragment (should not be + # set anyway!) + data_out[i] = data_in[i] + start_index = i + elif _index == 0: + if start_index < i-1: + # We just ended a fragment, need to go back and linearly interpolate! + nsteps = i-start_index + valstart = data_in[start_index] + dval = (data_in[i] - valstart)/nsteps + dval_mask = min(data_in[i], valstart) + masked = mask_neg and dval_mask < 0 + for j in range(1, nsteps): + data_out[start_index + j] = (valstart + j*dval * (not masked)) + (dval_mask * masked) + data_out[i] = data_in[i] + start_index = i + else: + # We are in a non-main fragment, let's wait until we're a "real" object + pass + + +
[docs]def fix_fragment_properties( + forest: Mapping[str, np.ndarray], + keys: List[str], + *, + inplace: bool = True, + suffix: str = '_fragfix', + interpolation: str = 'constant_reverse', + mask_negative: bool = False + ) -> None: + """Correct properties of minor fragments + + The SOD data stored in the merger tree forest files will be wrong for + fragmented FoF groups, if the halo is not the major fragment of this group. + This function attempts to fix those values by either linearly interpolate + or setting the SOD properties to a constant value during the times when + a halo is a minor fragment. + + Parameters + ---------- + forest + the full merger tree forest data + + keys + list of the columns to which the correction should be applied + + inplace + if True, the column will be updated in-place, otherwise, a new array + will be created with the original name and suffix appended + + suffix + if not in-place, the new array will be named ``old_column + suffix`` + + interpolation + the type of correction to apply. Currently supported are: + + - ``"constant_reverse"``: set the properties to the value the halo has + when becoming a non-minor-fragment or independent ("reverse" in time) + - ``"linear"``: linearly interpolate (in snapshot-space) the property + values from before and after being a minor fragment + + mask_negative + if True, will not attempt to do a linear interpolation if either the + starting or ending value is negative, e.g. for an invalid concentration + parameter. Instead, the property will be set to the negative value + during the minor-fragment phase. + + Examples + -------- + >>> haccytrees.mergertrees.fix_fragment_properties(forest, + ... ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'], + ... inplace=False, + ... suffix='_fragfix_const', + ... interpolation='constant_reverse') + >>> haccytrees.mergertrees.fix_fragment_properties(forest, + ... ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'], + ... inplace=False, + ... suffix='_fragfix_lin', + ... interpolation='linear', + ... mask_negative=True) + + """ + for k in keys: + data = forest[k] + if inplace: + data_out = data + else: + data_out = np.empty_like(data) + forest[f'{k}{suffix}'] = data_out + + if interpolation == 'constant_reverse': + _fix_fragment_property_constrev(forest['snapnum'], forest['fof_halo_tag'], data, data_out) + elif interpolation == 'linear': + _fix_fragment_property_linear(forest['snapnum'], forest['fof_halo_tag'], data, data_out, mask_negative) + else: + raise NotImplementedError(f"unknown interpolation: {interpolation}")
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+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/mergertrees/submassmodel/index.html b/_modules/haccytrees/mergertrees/submassmodel/index.html new file mode 100644 index 0000000..91cfe0e --- /dev/null +++ b/_modules/haccytrees/mergertrees/submassmodel/index.html @@ -0,0 +1,449 @@ + + + + + + haccytrees.mergertrees.submassmodel — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
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+ +

Source code for haccytrees.mergertrees.submassmodel

+import numpy as np
+import numba
+from typing import Mapping, List
+from ..simulations import Simulation, Cosmology
+
+# TODO: parallelize numba functions: act on each root individually
+@numba.jit(nopython=True)
+def _create_submass_hostidx(
+    snapnum,
+    desc_index,
+    snap0,
+    sm_mainhostidx,
+    sm_infallidx,
+    sm_snapnum,
+    sm_hostmassidx,
+    scratch_idx,
+):
+    """calculate the index of the top host halo and immediate host (could be a subhalo)
+    for each subhalo array
+    """
+    nhalos = len(snapnum)
+
+    # A temporary array to keep track of the hosts in the current (sub)tree
+    snap_mainhost_idx = np.empty(snap0 + 1, dtype=np.int64)
+    snap_mainhost_idx[:] = -1
+
+    # A temporary array to keep track of the direct host for a halo
+    snap_mainhost_row = np.empty(snap0 + 1, dtype=np.int64)
+    snap_mainhost_row[:] = -1
+
+    current_row = 0  # current row in the scratch array
+    lastsnap = snapnum[0]  # previous snapshot number
+    current_idx = 0  # current position in the subhalo arrays
+    for i in range(nhalos):
+        # a completely new tree
+        if desc_index[i] < 0:
+            # reset arrays
+            snap_mainhost_idx[:] = -1
+            current_row = 0
+            snap_mainhost_row[:] = -1
+        # we are at a new "row" in matrix-layout
+        # don't do this when we start a new tree (elif)
+        elif snapnum[i] >= lastsnap:
+            current_row += 1
+            directhost_row = snap_mainhost_row[snapnum[i] + 1]
+            assert directhost_row >= 0
+            # fill-in the subhalos
+            for s in range(snap0, snapnum[i], -1):
+                sm_snapnum[current_idx] = s
+                sm_mainhostidx[current_idx] = snap_mainhost_idx[s]
+                scratch_idx[current_row, s] = -current_idx - 1
+
+                # last index of the halo before merge
+                sm_infallidx[current_idx] = i
+
+                # direct host
+                sm_hostmassidx[current_idx] = scratch_idx[directhost_row, s]
+
+                # increment position in subhalo array
+                current_idx += 1
+
+            # remove invalidated roots
+            for s in range(lastsnap, snapnum[i]):
+                snap_mainhost_idx[s] = -1
+                snap_mainhost_row[s] = -1
+
+        snap_mainhost_idx[snapnum[i]] = i
+        snap_mainhost_row[snapnum[i]] = current_row
+        scratch_idx[current_row, snapnum[i]] = i
+        lastsnap = snapnum[i]
+
+    assert current_idx == len(sm_mainhostidx)
+
+
+@numba.jit(nopython=True)
+def _submass_model(
+    snapnum,
+    mass,
+    desc_index,
+    snap0,
+    t_lb,
+    tau_sub,
+    zeta,
+    submass,
+    sm_directmassidx,
+):
+    nhalos = len(mass)
+
+    # the exponential factor
+    exp_fac = -1 / zeta
+
+    current_idx = 0
+    lastsnap = snapnum[0]
+    for i in range(nhalos):
+        if snapnum[i] >= lastsnap and desc_index[i] != -1:
+            # new branch
+            current_mass = mass[i]
+            s_infall = snapnum[i]
+            t_lb_current = 0.5 * (t_lb[s_infall] + t_lb[s_infall + 1])
+            branch_nsub = snap0 - snapnum[i]
+
+            # walk "backwards" through subhalo branch (starting from point of merger)
+            for j in range(branch_nsub):
+                # starting at the first snapshot the halo is a subhalo
+                s = snapnum[i] + 1 + j
+                # current_idx+branch_nsub is the start of the next subhalo
+                idx = current_idx + branch_nsub - (j + 1)
+
+                # is it a real host or another subhalo?
+                if sm_directmassidx[idx] >= 0:
+                    # real host – take mass after merger for first step, else previous
+                    lux = sm_directmassidx[idx] + 1 * (j != 0)
+                    mass_host = mass[lux]
+                else:
+                    lux = -sm_directmassidx[idx] - 1
+                    assert lux < idx
+                    mass_host = submass[lux]
+                assert mass_host > 0
+
+                mass_fac = zeta * (current_mass / mass_host) ** zeta
+                delta_t = t_lb_current - t_lb[s]
+                tau = tau_sub[s]
+
+                submass[idx] = current_mass * (1 + mass_fac * delta_t / tau) ** exp_fac
+
+                # update time and mass
+                t_lb_current = t_lb[s]
+                current_mass = submass[idx]
+
+            current_idx += branch_nsub
+        lastsnap = snapnum[i]
+
+    assert current_idx == len(sm_directmassidx)
+
+
+@numba.jit(nopython=True)
+def _count_sub_number(snapnum, snap0, desc_index):
+    # Count number of subs we'll need to allocate
+    nhalos = len(snapnum)
+    lastsnap = snapnum[0]
+    nsub = 0
+    maxrows = 0
+    for i in range(nhalos):
+        if desc_index[i] == -1:
+            current_row = 1
+        elif snapnum[i] >= lastsnap:
+            # we are at a new "row" in matrix-layout
+            # everything from z=0 to that halo will be a sub
+            nsub += snap0 - snapnum[i]
+            current_row += 1
+            maxrows = max(maxrows, current_row)
+        lastsnap = snapnum[i]
+    return nsub, maxrows
+
+
+def _create_submass_data(mass, snapnum, snap0, desc_index, tau_sub, t_lb, zeta):
+    # Count number of subs we'll need to allocate
+    nsub, maxrows = _count_sub_number(snapnum, snap0, desc_index)
+
+    # Allocate arrays
+    submass = np.empty(nsub, dtype=np.float32)
+    submass_mainhostidx = np.empty(nsub, dtype=np.int64)
+    submass_mainhostidx[:] = -(1 << 60)
+    submass_directhostidx = np.empty(nsub, dtype=np.int64)
+    submass_directhostidx[:] = -(1 << 60)
+    submass_infallidx = np.empty(nsub, dtype=np.int64)
+    submass_snapnum = np.zeros(nsub, dtype=snapnum.dtype)
+
+    # Scratch space
+    scratch_idx = np.empty((maxrows, snap0 + 1), dtype=np.int64)
+    scratch_idx[:] = -(1 << 60)
+
+    # Fill hostidx
+    _create_submass_hostidx(
+        snapnum,
+        desc_index,
+        snap0,
+        submass_mainhostidx,
+        submass_infallidx,
+        submass_snapnum,
+        submass_directhostidx,
+        scratch_idx,
+    )
+    assert np.sum(submass_mainhostidx < 0) == 0
+    assert np.sum(submass_directhostidx == -(1 << 60)) == 0
+
+    # Fill submass (in reverse)
+    _submass_model(
+        snapnum,
+        mass,
+        desc_index,
+        snap0,
+        t_lb,
+        tau_sub,
+        zeta,
+        submass,
+        submass_directhostidx,
+    )
+
+    return {
+        "mass": submass,
+        "hostidx": submass_mainhostidx,
+        "direct_hostidx": submass_directhostidx,
+        "infallidx": submass_infallidx,
+        "snapnum": submass_snapnum,
+    }
+
+
+@numba.jit(nopython=True, parallel=True)
+def _compute_fsub_stats(
+    subdata_offset, subdata_size, tree_node_mass, sub_mass, fsubtot, fsubmax
+):
+    nhalos = len(tree_node_mass)
+    for i in numba.prange(nhalos):
+        start = subdata_offset[i]
+        end = subdata_offset[i] + subdata_size[i]
+        _fsubtot = 0
+        _fsubmax = 0
+        for j in range(start, end):
+            _fsubtot += sub_mass[j]
+            _fsubmax = max(_fsubmax, sub_mass[j])
+        fsubtot[i] = _fsubtot / tree_node_mass[i]
+        fsubmax[i] = _fsubmax / tree_node_mass[i]
+
+
+@numba.jit(nopython=True)
+def _subdata_hostidx_order(nhalos, submass_hostidx):
+    nsub = len(submass_hostidx)
+
+    # Count subhalos of each halo
+    subdata_size = np.zeros(nhalos, dtype=np.int64)
+    for i in range(nsub):
+        subdata_size[submass_hostidx[i]] += 1
+    # convert to offset in final array
+    subdata_offset = np.empty(nhalos, dtype=np.int64)
+    current_offset = 0
+    for i in range(nhalos):
+        subdata_offset[i] = current_offset
+        current_offset += subdata_size[i]
+    assert current_offset == nsub
+
+    # get ordering of data
+    subdata_localoffsets = np.zeros(nhalos, dtype=np.int64)
+    subdata_s = np.empty(nsub, dtype=np.int64)
+    subdata_s[:] = -1
+    for i in range(nsub):
+        hidx = submass_hostidx[i]
+        subdata_s[i] = subdata_offset[hidx] + subdata_localoffsets[hidx]
+        subdata_localoffsets[hidx] += 1
+
+    return subdata_s, subdata_offset, subdata_size
+
+
+
[docs]def create_submass_data( + forest, + simulation, + *, + zeta: float = 0.1, + A: float = 1.1, + mass_threshold: float = None, + compute_fsub_stats: bool = False, +): + if isinstance(simulation, str): + simulation = Simulation.simulations[simulation] + cosmo = simulation.cosmo + a = simulation.step2a(np.array(simulation.cosmotools_steps)) + H = cosmo.hubble_parameter(a) + H0 = 100 * cosmo.h + + # Bryan-Norman overdensity + Delta_vir = cosmo.virial_overdensity(a) + Delta_vir_0 = cosmo.virial_overdensity(1) + + # dynamical time of halo, in Gyr/h + tau_dyn = 1.628 * (Delta_vir / Delta_vir_0) ** -0.5 * (H / H0) ** -1 + # characteristic timescale of subhalo mass loss + tau_sub = tau_dyn / A + + # lookback time for each snapshot (in Gyr/h) + t_lb = cosmo.lookback_time(a) * cosmo.h + + # number of (host) halos we're dealing with + nhalos = len(forest["snapnum"]) + + # apply submass model + subhalo_data = _create_submass_data( + forest["tree_node_mass"], + forest["snapnum"], + snap0=len(simulation.cosmotools_steps) - 1, + desc_index=forest["descendant_idx"], + tau_sub=tau_sub, + t_lb=t_lb, + zeta=zeta, + ) + + # Apply mass threshold + if mass_threshold is not None: + mask = subhalo_data["mass"] > mass_threshold + for k in subhalo_data.keys(): + subhalo_data[k] = subhalo_data[k][mask] + + # order subdata by host halo + subdata_s, subdata_offset, subdata_size = _subdata_hostidx_order( + nhalos, subhalo_data["hostidx"] + ) + + # invert order + subdata_s = np.argsort(subdata_s) + + for k in subhalo_data.keys(): + subhalo_data[k] = subhalo_data[k][subdata_s] + forest["subdata_offset"] = subdata_offset + forest["subdata_size"] = subdata_size + + # fsub statistics + if compute_fsub_stats: + forest["fsubtot"] = np.zeros(nhalos, dtype=np.float32) + forest["fsubmax"] = np.zeros(nhalos, dtype=np.float32) + _compute_fsub_stats( + forest["subdata_offset"], + forest["subdata_size"], + forest["tree_node_mass"], + subhalo_data["mass"], + forest["fsubtot"], + forest["fsubmax"], + ) + + return subhalo_data
+
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/simulations/index.html b/_modules/haccytrees/simulations/index.html new file mode 100644 index 0000000..48c9f38 --- /dev/null +++ b/_modules/haccytrees/simulations/index.html @@ -0,0 +1,409 @@ + + + + + + haccytrees.simulations — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +

Source code for haccytrees.simulations

+import dataclasses
+import configparser
+import numpy as np
+from typing import List, ClassVar, Dict
+
+_rhoc = 2.77536627e11
+_km_in_Mpc = 3.08568e19
+_sec_in_year = 60 * 60 * 24 * 365.25
+
+# fmt: off
+# OuterRim sims
+_outerrim_analysis_steps = [
+        42, 43, 44, 45, 46, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60,
+        62, 63, 65, 67, 68, 70, 72, 74, 76, 77, 79, 81, 84, 86, 88,
+        90, 92, 95, 97, 100, 102, 105, 107, 110, 113, 116, 119, 121,
+        124, 127, 131, 134, 137, 141, 144, 148, 151, 155, 159, 163, 167,
+        171, 176, 180, 184, 189, 194, 198, 203, 208, 213, 219, 224, 230,
+        235, 241, 247, 253, 266, 272, 279, 286, 293, 300, 307, 315,
+        323, 331, 338, 355, 365, 373, 382, 392, 401, 411, 421, 432,
+        442, 453, 464, 475, 487, 499
+    ]
+
+_alphaq_analysis_steps = [
+        44, 45, 46, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60,
+        62, 63, 65, 67, 68, 70, 72, 74, 76, 77, 79, 81, 84, 86, 88,
+        90, 92, 95, 97, 100, 102, 105, 107, 110, 113, 116, 119, 121,
+        124, 127, 131, 134, 137, 141, 144, 148, 151, 155, 159, 163, 167,
+        171, 176, 180, 184, 189, 194, 198, 203, 208, 213, 219, 224, 230,
+        235, 241, 247, 253, 259, 266, 272, 279, 286, 293, 300, 307, 315,
+        323, 331, 338, 347, 355, 365, 373, 382, 392, 401, 411, 421, 432,
+        442, 453, 464, 475, 487, 499
+    ]
+
+# Last Journey and Farpoint sims
+_ljfp_analysis_steps = [
+        42, 43, 44, 45, 46, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60,
+        62, 63, 65, 67, 68, 70, 72, 74, 76, 77, 79, 81, 84, 86, 88,
+        90, 92, 95, 97, 100, 102, 105, 107, 110, 113, 116, 119, 121,
+        124, 127, 131, 134, 137, 141, 144, 148, 151, 155, 159, 163, 167,
+        171, 176, 180, 184, 189, 194, 198, 203, 208, 213, 219, 224, 230,
+        235, 241, 247, 253, 259, 266, 272, 279, 286, 293, 300, 307, 315,
+        323, 331, 338, 347, 355, 365, 373, 382, 392, 401, 411, 421, 432,
+        442, 453, 464, 475, 487, 499]
+
+# Last Journey and Farpoint sims
+_borgcube_analysis_steps = [
+        46, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60,
+        62, 63, 65, 67, 68, 70, 72, 74, 76, 77, 79, 81, 84, 86, 88,
+        90, 92, 95, 97, 100, 102, 105, 107, 110, 113, 116, 119, 121,
+        124, 127, 131, 134, 137, 141, 144, 148, 151, 155, 159, 163, 167,
+        171, 176, 180, 184, 189, 194, 198, 203, 208, 213, 219, 224, 230,
+        235, 241, 247, 253, 259, 266, 272, 279, 286, 293, 300, 307, 315,
+        323, 331, 338, 347, 355, 365, 373, 382, 392, 401, 411, 421, 432,
+        442, 453, 464, 475, 487, 499]
+# fmt: on
+
+
+
[docs]@dataclasses.dataclass(frozen=True) +class Cosmology: + name: str + Omega_m: float + Omega_b: float + Omega_L: float + h: float + ns: float + s8: float + + cosmologies: ClassVar[Dict] = {} + + def __post_init__(self): + Cosmology.cosmologies[self.name] = self + + def __repr__(self): + return f"Cosmology({self.name})" + + @property + def hubble_time(self): + """Hubble time in Gyr (1/H0)""" + return 1 / (100 * self.h) * _km_in_Mpc / _sec_in_year * 1e-9 + +
[docs] def hubble_parameter(self, a): + """redshift dependend Hubble parameter, H(a)""" + return ( + 100 + * self.h + * np.sqrt( + self.Omega_m * a**-3 + + self.Omega_L + + (1 - self.Omega_m - self.Omega_L) * a**-2 + ) + )
+ +
[docs] def lookback_time(self, a): + """Lookback time in Gyr from a=1""" + # Integrate 1/(a'*H(a')) da' from a to 1 + # TODO: add radiation / neutrinos + integrand = lambda a: ( + self.Omega_m / a + self.Omega_L * a**2 + (1 - self.Omega_m - self.Omega_L) + ) ** (-0.5) + da = 1e-3 + _a = np.linspace(a, 1, int(np.max((1 - a) / da))) + return self.hubble_time * np.trapz(integrand(_a), _a, axis=0)
+ +
[docs] def virial_overdensity(self, a): + """Bryan & Norman Delta_vir""" + x = self.func_Omega_m(a) - 1 + return 18 * np.pi**2 + 82 * x - 39 * x**2
+ + def func_E2(self, a): + return self.Omega_m * a**-3 + self.Omega_L + + def func_Omega_m(self, a): + return self.Omega_m * a**-3 / self.func_E2(a)
+ + +
[docs]@dataclasses.dataclass(frozen=True) +class Simulation: + name: str + nsteps: int + zstart: float + zfin: float + rl: float + ng: int + np: int + cosmo: Cosmology + cosmotools_steps: List[int] + fullalive_steps: List[int] + + simulations: ClassVar[Dict] = {} + + def __post_init__(self): + Simulation.simulations[self.name] = self + + def __repr__(self): + return f"Simulation({self.name}: RL={self.rl} NP={self.np}, NG={self.ng})" + + def step2a(self, step): + aini = 1 / (self.zstart + 1) + afin = 1 / (self.zfin + 1) + return aini + (afin - aini) / self.nsteps * (step + 1) + + def step2z(self, step): + return 1 / self.step2a(step) - 1 + + def step2lookback(self, step): + a = self.step2a(step) + return self.cosmo.lookback_time(a) + + @property + def particle_mass(self): + return _rhoc * self.cosmo.Omega_m * (self.rl / self.np) ** 3 + + @classmethod + def parse_config(cls, config_path: str) -> "Simulation": + config = configparser.ConfigParser() + config.read(config_path) + cosmology_name = config.get("cosmology", "name") + cosmology = Cosmology( + name=cosmology_name, + Omega_m=float(config.get("cosmology", "Omega_m")), + Omega_b=float(config.get("cosmology", "Omega_b")), + Omega_L=float(config.get("cosmology", "Omega_L")), + h=float(config.get("cosmology", "h")), + ns=float(config.get("cosmology", "ns")), + s8=float(config.get("cosmology", "s8")), + ) + + simulation_name = config.get("simulation", "name") + simulation = Simulation( + name=simulation_name, + cosmo=cosmology, + rl=float(config.get("simulation", "rl")), + ng=int(config.get("simulation", "ng")), + np=int(config.get("simulation", "np")), + nsteps=int(config.get("simulation", "nsteps")), + zstart=float(config.get("simulation", "zstart")), + zfin=float(config.get("simulation", "zfin")), + cosmotools_steps=[ + int(s) for s in config.get("simulation", "cosmotools_steps").split() + ], + fullalive_steps=[], + ) + return simulation
+ + +# Cosmological parameters used for OuterRim +OuterRimCosmo = Cosmology( + "OuterRimCosmo", + Omega_m=0.22 + 0.02258 / 0.71**2, + Omega_b=0.02258 / 0.71**2, + Omega_L=1 - 0.22 - 0.02258 / 0.71**2, + h=0.71, + ns=0.963, + s8=0.8, +) + + +# Cosmological parameters used for LJ +LastJourneyCosmo = Cosmology( + "LastJourneyCosmo", + Omega_m=0.26067 + 0.02242 / 0.6766**2, + Omega_b=0.02242 / 0.6766**2, + Omega_L=1 - 0.26067 - 0.02242 / 0.6766**2, + h=0.6766, + ns=0.9665, + s8=0.8102, +) + +AlphaQ = Simulation( + name="AlphaQ", + cosmo=OuterRimCosmo, + rl=256, + ng=1024, + np=1024, + nsteps=500, + zstart=200, + zfin=0.0, + cosmotools_steps=_alphaq_analysis_steps, + fullalive_steps=_ljfp_analysis_steps, +) + + +OuterRim = Simulation( + name="OuterRim", + cosmo=OuterRimCosmo, + rl=3000.0, + ng=10240, + np=10240, + nsteps=500, + zstart=200.0, + zfin=0.0, + cosmotools_steps=_outerrim_analysis_steps, + fullalive_steps=_outerrim_analysis_steps, +) + + +LastJourney = Simulation( + name="LastJourney", + cosmo=LastJourneyCosmo, + rl=3400, + ng=10752, + np=10752, + nsteps=500, + zstart=200.0, + zfin=0.0, + cosmotools_steps=_ljfp_analysis_steps, + fullalive_steps=_ljfp_analysis_steps, +) + +LastJourneySV = dataclasses.replace( + LastJourney, name="LastJourneySV", rl=250, ng=1024, np=1024 +) + +Farpoint = Simulation( + name="Farpoint", + cosmo=LastJourneyCosmo, + rl=1000, + ng=12288, + np=12288, + nsteps=500, + zstart=200.0, + zfin=0.0, + cosmotools_steps=_ljfp_analysis_steps, + fullalive_steps=_ljfp_analysis_steps, +) + + +FarpointSV = dataclasses.replace( + Farpoint, + name="FarpointSV", + rl=250, + ng=3072, + np=3072, + cosmotools_steps=_ljfp_analysis_steps[1:], +) + +BorgCube = Simulation( + name="BorgCube", + cosmo=OuterRimCosmo, + rl=800, + ng=2304, + np=2304, + nsteps=500, + zstart=200.0, + zfin=0.0, + cosmotools_steps=_borgcube_analysis_steps, + fullalive_steps=_ljfp_analysis_steps, +) +
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/utils/datastores/index.html b/_modules/haccytrees/utils/datastores/index.html new file mode 100644 index 0000000..695c1a0 --- /dev/null +++ b/_modules/haccytrees/utils/datastores/index.html @@ -0,0 +1,402 @@ + + + + + + haccytrees.utils.datastores — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +

Source code for haccytrees.utils.datastores

+import numpy as np
+import pygio
+import os
+import glob
+from typing import Mapping, Sequence
+
+from mpipartition import Partition
+from .timer import Timer
+
+
+
[docs]class GenericIOStore: + """A temporary storage that uses GenericIO to save data + + The data has to be a Structure-of-Arrays (SoA) (i.e. a python dictionary + `str`->`np.ndarray`), with each array having the same length. + + This class behaves like a python dictionary of `SoA`s. If `temporary_path` + is set, the arrays associated to a key will be stored in GenericIO files, + otherwise, they will be kept in memory. + + Parameters + ---------- + partition : :class:`mpipartition.Partition` + A Partition instance defining the MPI layout + + box_size : float + the physical size of the volume + + temporary_path : str + The base filesystem path where temporary data is stored. If `None`, the + data will be kept in memory. + + Examples + -------- + + >>> # Creating a partition + >>> partition = mpipartition.Partition() + >>> # Creating a store + >>> store = GenericIOStore(partition, 1.0, './tmp') + >>> data = {x: np.random.uniform(10) for x in 'xyz'} + >>> store['pos_0'] = data + >>> del data + >>> # Do some memory-expensive stuff until you need the data again... + >>> data_0 = store['pos_0'] + >>> # Cleanup + >>> store.remove('pos_0') + + """ + + def __init__( + self, partition: Partition, box_size: float, temporary_path: str = None + ): + self._temporary_path = temporary_path + self._data = {} + self._partition = partition + self.box_size = box_size + +
[docs] def __setitem__(self, key: str, data: Mapping[str, np.ndarray]) -> None: + """Adding an SoA to the storage + + Parameters + ---------- + key + The storage key, will be appended to the `temporary_path` and + therefore has to be a valid if used in a filesystem path. + data + The SoA to be added to the store. A dictionary with types + `{str: np.ndarray}`, where the numpy array have to have the same shape + and `dim=1`. + """ + if self._temporary_path is None: + self._data[key] = data + else: + with Timer("temp storage: writing (GIO)", None): + pygio.write_genericio( + f"{self._temporary_path}_{key}.tmp.gio", + data, + phys_origin=[0.0, 0.0, 0.0], + phys_scale=[self.box_size] * 3, + )
+ +
[docs] def __getitem__(self, key: str) -> Mapping[str, np.ndarray]: + """Retrieve a Structure-of-Arrays from the store + + Parameters + ---------- + key + The storage key of the SoA + + Returns + ------- + Mapping[str, np.ndarray] + The SoA associated with the key. A python dictionary of type `{str: np.ndarray}` + """ + if self._temporary_path is None: + return self._data[key] + else: + with Timer("temp storage: reading (GIO)", None): + return pygio.read_genericio( + f"{self._temporary_path}_{key}.tmp.gio", + redistribute=pygio.PyGenericIO.MismatchBehavior.MismatchDisallowed, + )
+ +
[docs] def get_field(self, key: str, field: Sequence[str]) -> np.ndarray: + """Retrieve specific arrays in a Structure-of-Arrays from the store + + Parameters + ---------- + key + The storage key of the SoA + field + The keys of the specific arrays that are to be returned. Can be a `str` + or a `list` of `str`. + + Returns + ------- + Mapping[str, np.ndarray] + The SoA associated with the key, with only the fields specified. + A python dictionary of type `{str: np.ndarray}`. + """ + if not isinstance(field, list): + field = [field] + if self._temporary_path is None: + return {f: self._data[key][f] for f in field} + else: + with Timer("temp storage: reading (GIO)", None): + return pygio.read_genericio( + f"{self._temporary_path}_{key}.tmp.gio", + field, + redistribute=pygio.PyGenericIO.MismatchBehavior.MismatchDisallowed, + )
+ +
[docs] def remove(self, key: str) -> None: + """Delete a stored SoA (from memory or disk) + + Parameters + ---------- + key + The storage key of the SoA + """ + if self._temporary_path is None: + self._data.pop(key) + else: + self._partition.comm.Barrier() + with Timer("temp storage: cleanup (GIO)", None): + if self._partition.rank == 0: + for f in glob.glob(f"{self._temporary_path}_{key}.tmp.gio*"): + os.remove(f) + self._partition.comm.Barrier()
+ +
[docs] def pop(self, key: str) -> Mapping[str, np.ndarray]: + """Retrieve a Structure-of-Arrays from the store and remove the SoA + + Parameters + ---------- + key + The storage key of the SoA + + Returns + ------- + Mapping[str, np.ndarray] + The SoA associated with the key. A python dictionary of type `{str: np.ndarray}` + """ + if self._temporary_path is None: + return self._data.pop(key) + else: + d = self[key] + self.remove(key) + return d
+ + +
[docs]class NumpyStore: + """A temporary storage that uses numpy.savez to save data + + The data has to be a dictionary of arrays (i.e. `str`->`np.ndarray`), + arrays can have variable lengths and dimensions. If `temporary_path` + is set, the arrays associated to a key will be stored in `.npz` files (one + per MPI rank), otherwise, they will be kept in memory. + + :param partition: A Partition instance defining the MPI layout + :type partition: :class:`mpipartition.Partition` + + :param temporary_path: The base filesystem path where temporary data is + stored. If `None`, the data will be kept in memory. + :type temporary_path: `Optional[str]` + + Examples + -------- + + >>> # Creating a partition + >>> partition = mpipartition.Partition() + >>> # Creating a store + >>> store = NumpyStore(partition, './tmp') + >>> data = {x: np.random.uniform(10) for x in 'xyz'} + >>> store['pos_0'] = data + >>> # Do some memory-expensive stuff until you need the data again... + >>> data_0 = store['pos_0'] + >>> # Cleanup + >>> store.remove('pos_0') + + """ + + def __init__(self, partition: Partition, temporary_path: str = None): + self._temporary_path = temporary_path + self._data = {} + self._partition = partition + self._filename_fct = lambda key: ( + f"{self._temporary_path}_{key}.tmp.rank-{self._partition.rank}.npz" + ) + +
[docs] def __setitem__(self, key: str, data: Mapping[str, np.ndarray]) -> None: + """Adding a dictionary of arrays to the storage + + Parameters + ---------- + key : str + The storage key, will be appended to the `temporary_path` and + therefore has to be a valid if used in a filesystem path. + data : Mapping[str, np.ndarray] + The data to be added to the store. A dictionary with types + `{str: np.ndarray}`, where the numpy array can have variable shape + and dimensions. + """ + if self._temporary_path is None: + self._data[key] = data + else: + with Timer("temp storage: writing (NPY)", None): + np.savez(self._filename_fct(key), **data)
+ +
[docs] def __getitem__(self, key: str) -> Mapping[str, np.ndarray]: + """Retrieve a dictionary of arrays from the store + + Parameters + ---------- + key + The storage key + + Returns + ------- + Mapping[str, np.ndarray] + The data associated with the key. A python dictionary of type `{str: np.ndarray}` + """ + if self._temporary_path is None: + return self._data[key] + else: + with Timer("temp storage: reading (NPY)", None): + return np.load(self._filename_fct(key))
+ +
[docs] def remove(self, key: str) -> None: + """Delete stored data associated with key (from memory or disk) + + Parameters + ---------- + key + The storage key of the data + """ + if self._temporary_path is None: + self._data.pop(key) + else: + with Timer("temp storage: cleanup (NPY)", None): + os.remove(self._filename_fct(key))
+ +
[docs] def pop(self, key: str) -> Mapping[str, np.ndarray]: + """Retrieve stored data and remove from storage (memory or disk) + + Parameters + ---------- + key + The storage key of the data + + Returns + ------- + Mapping[str, np.ndarray] + The data associated with the key. A python dictionary of type `{str: np.ndarray}` + """ + if self._temporary_path is None: + return self._data.pop(key) + else: + d = self[key] + self.remove(key) + return d
+
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/haccytrees/visualization/mergertree/index.html b/_modules/haccytrees/visualization/mergertree/index.html new file mode 100644 index 0000000..2031da0 --- /dev/null +++ b/_modules/haccytrees/visualization/mergertree/index.html @@ -0,0 +1,436 @@ + + + + + + haccytrees.visualization.mergertree — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+
    +
  • + + +
  • +
  • +
+
+
+
+
+ +

Source code for haccytrees.visualization.mergertree

+import numpy as np 
+from collections import namedtuple
+import drawSvg
+import matplotlib
+from typing import Mapping, Union
+
+class _Halo(namedtuple("_Halo", ['id', 'mass', 'freemassacc', 'scale_fac', 'snapnum', 'depth', 'progenitors'])):
+    __slots__ = ()
+    def __str__(self):
+        return f"Halo(id={self.id}, mass={self.mass:.2e}, snapnum={self.snapnum}, depth={self.depth}, nprog={len(self.progenitors)})"
+    def __repr__(self):
+        return self.__str__()
+
+
+def _extract_tree(trees, progenitor_array, target_idx, mass_threshold=1e11, max_steps=100):
+    hdict = {}
+    snaplists = [[] for d in range(max_steps+1)]
+    hroot = _Halo(target_idx, trees['tree_node_mass'][target_idx], trees['tree_node_mass'][target_idx], trees['scale_factor'][target_idx], trees['snapnum'][target_idx], 0, [])
+    last_step = trees['snapnum'][target_idx]
+    hdict[target_idx] = hroot
+    queue = [hroot]
+    snaplists[0].append(hroot)
+    while len(queue) > 0:
+        h = queue.pop()
+        prog_start = trees['progenitor_offset'][h.id]
+        prog_end = prog_start + trees['progenitor_count'][h.id]
+        progenitors = progenitor_array[prog_start:prog_end]
+        masses = np.array([trees['tree_node_mass'][i] for i in progenitors])
+        s = np.argsort(masses)[::-1]
+        masses = masses[s]
+        progenitors = progenitors[s]
+        
+        next_queue = []
+        for m, pidx in zip(masses, progenitors):
+            if m < mass_threshold:
+                continue
+            depth = last_step - trees['snapnum'][pidx]
+            p = _Halo(pidx, m, m, trees['scale_factor'][pidx], trees['snapnum'][pidx], depth, [])
+            hdict[pidx] = p
+            h.progenitors.append(p)
+            h._replace(freemassacc=h.freemassacc - p.mass)
+            snaplists[depth].append(p)
+            if depth < max_steps:
+                next_queue.append(p)
+        for p in next_queue[::-1]:
+            queue.append(p)
+    return hdict, hroot, snaplists
+
+
+def _tree_align(hlist, hloc, snaplists, padding, align='block'):
+    hv = np.array([h.mass for h in hlist])
+    hy = np.zeros(len(hlist), dtype=np.float64)
+    snapmass = np.array([sum(h.mass for h in sl) for sl in snaplists])
+    snaplen  = np.array([len(sl) for sl in snaplists])
+    
+    if align == 'bottom' or align == 'center':
+        snapvtot = snapmass * (1 + (snaplen-1) * padding)
+        snappadding = (snapvtot-snapmass)/np.clip((snaplen-1), 1, None)
+    elif align == 'block':
+        snapvtot = snapmass * (1 + (snaplen-1) * padding)
+        snappadding = (np.max(snapvtot)-snapmass)/np.clip((snaplen-1), 1, None)
+    else:
+        raise NotImplementedError("no align {}".format(align))
+
+    # find hy
+    for i, sl in enumerate(snaplists):
+        if align == 'center':
+            curoff = 0.5-snapvtot[i]/2
+        else:
+            curoff = 0
+        for j, h in enumerate(sl):
+            hy[hloc[h.id]] = curoff
+            curoff += h.mass + snappadding[i]
+
+    return hv, hy
+
+def _tree_recursive(hroot, hlist, hloc, snaplists, padding, align):
+    minpad = 0.1*padding*hroot.mass
+    maxpad = padding*hroot.mass
+    padding_fct = lambda prosizes: np.clip(padding * (prosizes[:-1] + prosizes[1:]), minpad, maxpad)
+    # padding_fct = lambda prosizes: padding * (prosizes[:-1] + prosizes[1:])
+    # padding_fct = lambda prosizes: padding * (prosizes[:-1] + 5*prosizes[1:])/3
+    # padding_fct = lambda prosizes: padding * np.sqrt(prosizes[:-1] * prosizes[1:])
+    # Find vertical size of each node
+    hv = np.array([h.mass for h in hlist])
+    sizes = {}
+    def get_size(h):
+        if len(h.progenitors) == 0:
+            size = h.mass
+        else:
+            prosizes = np.array([get_size(p) for p in h.progenitors])
+            paddings = padding_fct(prosizes)
+            size = max(h.mass, np.sum(prosizes) + np.sum(paddings))
+
+        sizes[h.id] = size
+        return size
+    get_size(hroot)
+
+    # position nodes (relative to root)
+    vpos = {}
+    if align == 'center':
+        def set_vpos(h, center):
+            vpos[h.id] = center - h.mass/2
+            mysize = sizes[h.id]
+            prosizes = np.array([sizes[p.id] for p in h.progenitors])
+            paddings = padding_fct(prosizes)
+            paddings = np.append(paddings, 0)
+            pcenter = center - mysize/2
+            for i, p in enumerate(h.progenitors):
+                pcenter += prosizes[i]/2
+                set_vpos(p, pcenter)
+                pcenter += prosizes[i]/2
+                pcenter += paddings[i]
+    elif align == 'bottom':
+        def set_vpos(h, bottom):
+            vpos[h.id] = bottom
+            mysize = sizes[h.id]
+            prosizes = np.array([sizes[p.id] for p in h.progenitors])
+            paddings = padding_fct(prosizes)
+            paddings = np.append(paddings, 0)
+            pbottom = bottom
+            for i, p in enumerate(h.progenitors):
+                set_vpos(p, pbottom)
+                pbottom += prosizes[i]
+                pbottom += paddings[i]
+    else:
+        raise NotImplementedError(f"unknown align: {align}")
+
+    set_vpos(hroot, 0)
+    hy = np.array([vpos[h.id] for h in hlist])
+    return hv, hy
+
+
+
[docs]def merger_tree_drawing( + trees: Mapping[str, np.ndarray], + progenitor_array: np.ndarray, + target_idx: int, + *, + max_steps: int=20, + mass_threshold: float=1e10, + method: str='block', + padding: float=0.05, + width: int=1200, + height: int=600, + cmap: Union[str, matplotlib.colors.Colormap]='viridis', + coloring: str='branch', + **kwargs) -> drawSvg.Drawing: + """Visualize the merger-tree as an svg + + Parameters + ---------- + trees + the full merger tree forest + + progenitor_array + the progenitor array returned by :func:`haccytrees.read_forest` + + target_idx + the root index of the halo which is to be visualized + + max_steps + the number of progenitor steps that are being visualized + + mass_threshold + all progenitors below this threshold will be skipped + + method + the drawing method that determines the y-position of each progenitor. + See the notes for valid options + + padding + determines the fraction of padding along the y-axis between neighboring + progenitors + + width + the width of the svg + + height + the height of the svg + + cmap + the colormap that is used to differentiate the branches + + coloring + if ``"branch"``, will color each branch differently. If ``None``, all + branches will be drawn in black + + kwargs + TODO: add additional arguments + + Returns + ------- + drawing: drawSvg.Drawing + the svg + + Notes + ----- + + Valid ``methods`` are: + + - recursive-center + - recursive-bottom + - center + - block + - bottom + """ + # Some config + soft = kwargs.get('soft', 0.5) + nodewidth = kwargs.get('nodewidth', max_steps) + mm_threshold = kwargs.get('mm_threshold', 1/3) + mm_is_absolute = kwargs.get('mm_is_absolute', False) + highlight_mm = kwargs.get('highlight_mm', False) + if cmap is not None and isinstance(cmap, str): + cmap = matplotlib.pyplot.get_cmap(cmap) + aspect = width/height + + # Get Data + hdict, hroot, snaplists = _extract_tree(trees, progenitor_array, target_idx, mass_threshold=mass_threshold, max_steps=max_steps) + + # Get a List of all halos + nhalos = len(hdict) + hlist = [h for hidx, h in hdict.items()] + # Map from id to idx + hloc = {h.id: i for i, h in enumerate(hlist)} + + # Determine xpos, height and width + hnorm = max_steps * (1+nodewidth/100/max_steps) + hx = np.array([hroot.snapnum - h.snapnum for h in hlist])/hnorm*aspect + + + hh = np.array([nodewidth/100/max_steps for h in hlist]) + po = np.zeros(nhalos, dtype=np.float64) + + methods = method.split('-') + print(methods, flush=True) + if len(methods) == 1: + methods.append('center') + if methods[0] == 'recursive': + hv, hy = _tree_recursive(hroot, hlist, hloc, snaplists, padding, align=methods[1]) + else: + hv, hy = _tree_align(hlist, hloc, snaplists, padding, align=methods[0]) + + # normalize to [0, 1] + hymax = hy + hv + voff = np.min(hy) + vnorm = np.max(hymax) - voff + # print(voff, vnorm) + hy = (hy-voff)/vnorm + hv /= vnorm + + # get links + links = [(hloc[h.id], hloc[p.id]) for h in hlist for p in h.progenitors] + # get progenitor offset for links + for h in hlist: + poff = 0 + for p in h.progenitors: + po[hloc[p.id]] = poff + poff += p.mass/vnorm + + if highlight_mm: + highlight_dict = {h.id: False for h in hlist} + def highlight_branches(h): + highlight_dict[h.id] = True + if len(h.progenitors): + # highlight main progenitor + highlight_branches(h.progenitors[0]) + abs_threshold = mm_threshold if mm_is_absolute else mm_threshold * h.progenitors[0].mass + for p in h.progenitors[1:]: + if p.mass >= abs_threshold: + highlight_branches(p) + highlight_branches(hroot) + highlights = [highlight_dict[h.id] for h in hlist] + + else: + highlights = [True for h in hlist] + + # Plot Halos + if coloring is None: + colors = ['#000000' for h in hlist] + elif coloring == 'branch': + color_dict = {} + def set_color(h, low, up): + color_dict[h.id] = cmap(low) + nprogs = max(1, len(h.progenitors)) + # diff = max(up-low, 0.2) + up = 1 + inc = (up-low)/nprogs + for i, p in enumerate(h.progenitors): + set_color(p, low + i*inc, low + (i+1)*inc) + set_color(hroot, 0, 1) + colors = [matplotlib.colors.rgb2hex(color_dict[h.id]) for h in hlist] + else: + raise NotImplementedError(f"unknown coloring {coloring}") + + + + d = drawSvg.Drawing(aspect, 1, origin=(0,0)) + d.setRenderSize(aspect*height, height) + d.draw(drawSvg.Rectangle(0, 0, aspect, 1, fill='#FFF')) + for i in range(nhalos): + d.append(drawSvg.Rectangle(hx[i], hy[i], hh[i], hv[i], fill=colors[i], fill_opacity=1 if highlights[i] else 0.3)) + + for ld, lp in links: + _x0 = hx[ld]+hh[ld] + _y0 = hy[ld]+po[lp] + _h = hv[lp] + _x1 = hx[lp] + _y1 = hy[lp] + _dx = _x1 - _x0 + _dy = _y1 - _y0 + _s0 = _dx * soft # distance to control point 1 + _s1 = _dx * (1-soft) # distance to control point 2 + d.append(drawSvg.Path(stroke='none', fill=colors[lp], fill_opacity=0.6 if highlights[lp] else 0.1).M(_x0, _y0).v(_h).c(_s0, 0, _s1, _dy, _dx, _dy).v(-_h).c(-_s0, 0, -_s1, -_dy, -_dx, -_dy)) + + return d
+
+ +
+
+ +
+
+
+
+ + + + \ No newline at end of file diff --git a/_modules/index.html b/_modules/index.html new file mode 100644 index 0000000..3c25997 --- /dev/null +++ b/_modules/index.html @@ -0,0 +1,129 @@ + + + + + + Overview: module code — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ + +
+
+ + + + \ No newline at end of file diff --git a/_sources/creating/index.rst.txt b/_sources/creating/index.rst.txt new file mode 100644 index 0000000..e5472dd --- /dev/null +++ b/_sources/creating/index.rst.txt @@ -0,0 +1,163 @@ +Creating Merger Forests +======================= + +Merger tree forests are created from the HACC treenode files, cf. [Rangel2020]_. +The code rearranges the snapshot-by-snapshot catalog format to a convenient and +efficient tree-format. Each processed tree-file is self-contained, i.e. no trees +are split among multiple files. See :ref:`sec-forest-layout` for more +information about the final product. + +The MPI enabled python script in ``haccytrees/scripts/treenodes2forest.py`` is +the main executable which sets up the configuration and starts the conversion +routine contained in :meth:`haccytrees.mergertrees.assemble.catalog2tree`. The +settings have to be provided to the script through a configuration file, see +:ref:`sec-assemble-configuration` for an example. + +Installing the ``haccytrees`` python module (see :ref:`install-haccytrees`) will +add ``haccytrees-convert`` to your PATH (which is a wrapper of +``treenodes2forest.py``). The code can then be executed like + +.. code-block:: bash + + CONFIG=treenodes2forest.cfg + mpirun -n haccytrees-convert ${CONFIG} + +.. note:: + + Alternatively, you can run + ``mpirun -n python ${CONFIG}`` + +.. note:: + + All treenode catalog files need to be located in a single folder. If + ``MergerTrees_updated`` is being used, this folder usually does not contain + the first snapshot. One strategy is to symlink all catalogs in + ``MergerTrees_updated`` as well as the first snapshot from the + ``MergerTrees`` folder into a new folder. + +Routine Outline +--------------- + +The assembling of the merger forests proceeds in three main steps: + +- distributing the halo catalogs among the MPI ranks such that each individual + tree is fully contained on a rank. + +- finding the correct ordering of the halos, corresponding to the layout + described in :ref:`sec-forest-layout`. + +- writing the forests to HDF5 files. + +Distributing the data +^^^^^^^^^^^^^^^^^^^^^ + +The rank to which a tree is assigned is determined by the position of the root +halo at the last step, i.e. :math:`z=0`. The partitioning of the simulation +volume is determined by the :class:`mpipartition.Partition` +class, using MPI's 3D cartesian communicator. + +We start by distributing the halos in the final snapshot, using the abstracted +distribution function :meth:`mpipartition.distribute`. We then +iterate backwards over the snapshots. The halos in each snapshot are first +distributed by their position. Afterwards, halos that may have crossed the rank +boundaries are accounted for by marking all halos that don't have a local +descendant halo. Those halos are then communicated with the 26 directly +neighboring ranks, using a MPI graph communicator connecting each 26 +neighbor-set symmetrically. If there are still unaccounted halos left, those are +assigned using an ``all2all`` exchange. This exchange functionality is +implemented in :meth:`mpipartition.exchange`. + +At each step, we also take note of the descendant halo array index in the +previous step. This information then simplifies the next step, the reordering of +the halos to form a self-contained tree. + +Finding the halo ordering +^^^^^^^^^^^^^^^^^^^^^^^^^ + +After the reading and distributing phase, each rank now contains all the data it +needs to generate it's own self-contained forest. From the descendant index +stored during the previous phase we can then determine where in the final array +each halo has to go in order to obtain the required layout. + +In a first step, we calculate the size of each subtree, starting from the +earliest snapshot. Halos that are leaves of the tree have size 1 by definition. +We can then iteratively add the halos size to its descendant in the next +snapshot. After processing the latest snapshot, we know the size of each +self-contained trees. + +Knowing the size of each subtree, we can then determine the halo's position, +starting from the latest snapshot. Each root halo in the list is offset from its +previous halo by the size of that halos subtree. In the earlier snapshots, each +halo is positioned at its descendant halos position plus the subtree sizes of +the halos that have the same descendant and came earlier in the halo list. By +previously having ordered the halos in each snapshot by decreasing mass, halos +that have the same descendant halo are automatically ordered the same way. + +After this step, we know at which array position every halo in the +snapshot-ordered catalog has to go during the next phase. + +Writing the data +^^^^^^^^^^^^^^^^ + +In order to minimize the memory requirements, all the rank-local data of each +snapshot is stored into temporary containers (see :ref:`temporary-storage`). The +previous step, for example, only requires the descendant index to be in memory. +During the writing step, we now read the temporary files field-by-field, reorder +the data according to the previously determined halo ordering, and store that +field into an HDF5 dataset. By iterating over the fields individually, we only +need to keep one array in memory at a time. For the full Last Journey dataset +for example, 32 nodes were more than sufficient to process the forests. + + + +.. _sec-assemble-configuration: + +Configuration +------------- + +The configuration file is in the `ini` style (cf. `configparser +`_) containing information +about the simulation, the data location, the field names in the treenode +catalogs and the forest output, as well as some switches to optimize the +routine. See the definition of the parameters in the following example +configuration: + +.. literalinclude:: ../../haccytrees/scripts/treenodes2forest.example.cfg + :caption: Example configuration for Last Journey + :language: ini + + +Example: Last Journey +--------------------- + +Creating the :ref:`sim_LastJourney` Merger Forest took 3.2 hours on cooley, +using 32 nodes with 12 MPI ranks each (total of 384 ranks). The majority of the +time was spent in reading the treenode files (1.3 hours) and doing temporary IO +(1h) in order to keep the memory consumption in each rank low. A much smaller +fraction of the total time is in MPI communications (distribute and exchange), +~40min. Calculating the sub-tree sizes and data ordering took an +insignificant amount of time. + + +.. figure:: LJ_timing_32nodes.svg + :width: 100% + :align: center + + Processing time of Last Journey, split by task + + +Galaxy Merger trees +------------------- + +The code also works for galaxy mergertrees. See +``haccytrees/scripts/treenodes2forest.galaxymergertree.example.cfg`` for an +example configuration file. + +References +---------- + +.. autofunction:: haccytrees.mergertrees.assemble.catalog2tree + + +.. [Rangel2020] Rangel et al. (2020) + arXiv:`2008.08519 `_ \ No newline at end of file diff --git a/_sources/index.rst.txt b/_sources/index.rst.txt new file mode 100644 index 0000000..328f646 --- /dev/null +++ b/_sources/index.rst.txt @@ -0,0 +1,41 @@ +.. only:: latex + + HaccyTrees Documentation + ======================== + +.. include:: readme.rst + +.. only:: latex + + .. toctree:: + :maxdepth: 2 + + self + + .. toctree:: + :caption: Merger Forests + :maxdepth: 2 + + reading/layout + reading/getting_started + reading/fragments + reading/subhalo_model + reading/branch_matrices + reading/visualization + reading/simulations + reading/examples + + .. toctree:: + :caption: Creating Merger Forests + :maxdepth: 1 + + creating/index + + .. toctree:: + :caption: Extra utilities + :maxdepth: 1 + + utils/temporary_storage + + + diff --git a/_sources/reading/branch_matrices.rst.txt b/_sources/reading/branch_matrices.rst.txt new file mode 100644 index 0000000..e9078b4 --- /dev/null +++ b/_sources/reading/branch_matrices.rst.txt @@ -0,0 +1,16 @@ +Creating Branch-Matrices +======================== + +.. currentmodule:: haccytrees.mergertrees + +.. figure:: branchmatrix_mass.svg + + Example of a branch matrix for a single tree, showing the branch mass. Each + row corresponds to the main progenitor branch of a branch, and each column to + a simulation snapshot. After a halo merges, the mass by default is set to ``0`` + (white). + +References +---------- + +.. autofunction:: forest2matrix diff --git a/_sources/reading/examples.rst.txt b/_sources/reading/examples.rst.txt new file mode 100644 index 0000000..1ac1880 --- /dev/null +++ b/_sources/reading/examples.rst.txt @@ -0,0 +1,23 @@ +Examples +======== + +Average Mass-Growth +------------------- + +.. literalinclude:: example_mass_growth.py + :language: python + +.. image:: massgrowth_example.svg + + +Major Merger Rate +----------------- + +.. literalinclude:: example_merger_rate.py + :language: python + +.. image:: mergerrate_example.svg + + +Nucleation Rate +--------------- \ No newline at end of file diff --git a/_sources/reading/fragments.rst.txt b/_sources/reading/fragments.rst.txt new file mode 100644 index 0000000..4bd6867 --- /dev/null +++ b/_sources/reading/fragments.rst.txt @@ -0,0 +1,140 @@ +Dealing with Fragments +====================== + +.. currentmodule:: haccytrees.mergertrees + +During a simulation run, halos sometimes come within the FoF linking length +(i.e. merge), but later disassociate again. Since we generally assume that halos +don't split, these "wrongly" merged halos are disentangled in a post-processing +step, and labeled as fragments during the time they were part of a "combined" +FoF group. + +However, some of the halo properties are only calculated once for each FoF group +on-the-fly during the simulation, e.g. the SOD properties. Therefore, the SOD +property is only known for the "major" fragment in a split FoF group, and not +for the "minor" fragments. It is important to keep this in mind whenever dealing +with properties that are not aware of the fragment status. + +HaccyTrees includes some functionality that attempts to correct those properties +for minor fragments, discussed further below. + +Identifying Fragments +--------------------- + +The fragment status is encoded in the ``fof_halo_tag``, which is composed of the +original FoF tag that was assigned on-the-fly, as well as the fragment index. +Index 0 corresponds to the "main" or "major" fragment, for which we can assume +that the SOD properties are correct. Minor fragments will have a fragment index +larger than 0. + +The ``fof_halo_tag`` for fragments is constructed with the following scheme: + +.. math:: + + -1 \cdot \Big[ \text{fragment index (16 bit)} \; \Big| \; \text{parent fof tag (48 bit} \Big] + +The two components can be extracted with the function +:func:`split_fragment_tag`, which can be applied to all negative +``fof_halo_tag`` to find the original FoF tag as well as the fragment index. + + +.. note:: + + Since the merger-tree forests for large simulations are split among multiple + files, determined by the positions of the root halos at z=0, **it is not + guaranteed that the main fragment is in the same file as the minor + fragments**, in case belong to distinct trees (i.e. they don't share the same + root halo / they never merge). The affected fragments will all be located at + the boundary of the file extent, i.e. their main fragment can be found in the + file that covers the neighboring subvolume. + + + +Properties of Minor Fragments +----------------------------- + +As previously noted, some quantities are only computed once per FoF group and +normally only apply for the main fragment in a split FoF halo (fragment index +0). However, minor fragments will be assigned the same value, which generally +is not correct. + +One can either mask out these affected branches by identifying the minor +fragments (see previous section) or attempt to "correct" the properties by +looking at the properties before and after the halo became a minor fragment and +doing some sort of interplolation inbetween. The function +:func:`fix_fragment_properties` provides two kind of corrections that can be +applied to all minor fragments in a forest, either by linearly interpolating +between the starting and ending value, or by setting the properties to a +constant value. + +As an example, here is how one would "correct" the SOD mass, radius, and +concentration: + +.. code-block:: python + + %%time + forest, progenitor_array = haccytrees.mergertrees.read_forest( + "/data/a/cpac/mbuehlmann/LastJourney/forest/m000p.forest.000.hdf5", + 'LastJourney', nchunks=20, chunknum=0) + + +.. code-block:: none + + CPU times: user 558 ms, sys: 1.04 s, total: 1.6 s + Wall time: 1.6 s + +.. code-block:: python + + %%time + haccytrees.mergertrees.fix_fragment_properties( + forest, + ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'], + inplace=False, suffix='_fragfix_const', interpolation='constant_reverse', + mask_negative=False + ) + haccytrees.mergertrees.fix_fragment_properties( + forest, + ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'], + inplace=False, + suffix='_fragfix_lin', + interpolation='linear', + mask_negative=True + ) + +.. code-block:: none + + CPU times: user 817 ms, sys: 80.3 ms, total: 898 ms + Wall time: 896 ms + +After these function calls, additional arrays are added to the forest, suffixed +with ``_fragfix_lin`` and ``_fragfix_const``. For the following figure, we pick +a halo in the Last Journey simulation that is fragmented at snapshot number 95 +and plot the evolution of the ``tree_node_mass``, ``sod_halo_mass``, +``sod_halo_radius``, and ``sod_halo_cdelta`` for the major fragment and a minor +fragment: + +.. figure:: fragment_treatment.svg + + Evolution of the tree-node mass, SOD mass, SOD radius, and SOD concentration + (from top to bottom) of the major and a minor fragment branch. The time where + the two halos share the same FoF group is highlighted in grey. Blue and + orange lines show the constant and linear corrections for the minor fragment. + +Node that in the original catalog, the SOD properties of the minor fragment have +the same value as the ones of the major fragment, by construction. After +applying the corrections, the SOD mass and SOD radius are either linearly +interpolated or set to a constant value (the quantities that the halo has once +it becomes the major fragment or an independant halo). Since ``cdelta == -1`` +when the minor fragment becomes independant, no interpolation is done (since we +set ``mask_negative=True``), but instead ``cdelta`` is set to -1 throughout the +minor-fragment phase. + +Not that the minor and major fragments eventually merge. + + +References +---------- + +.. autofunction:: split_fragment_tag + +.. autofunction:: fix_fragment_properties \ No newline at end of file diff --git a/_sources/reading/getting_started.rst.txt b/_sources/reading/getting_started.rst.txt new file mode 100644 index 0000000..abb5094 --- /dev/null +++ b/_sources/reading/getting_started.rst.txt @@ -0,0 +1,203 @@ +Getting Started +=============== + +.. currentmodule:: haccytrees.mergertrees + + +.. _sec-reading-a-forest: + +Reading a Merger Forest +----------------------- + +Merger forests are stored in the HDF5 format, and although one could read the HDF5 +file directly, the :meth:`read_forest` function in haccytrees provides more +convenience, e.g. by creating additional indices that make walking the tree much +easier and by allowing to split the forest files into self-contained chunks. + +For example, if we want to split a Last Journey merger forest into 10 chunks and +read the first chunk: + +.. code-block:: python + + import numpy as np + import haccytrees.mergertrees + + forest, progenitor_array = haccytrees.mergertrees.read_forest( + "/data/a/cpac/mbuehlmann/LastJourney/m000p.forest.000.hdf5", + simulation="LastJourney", + nchunks=10, chunknum=0) + +The returned ``forest`` is a dictionary containing one-dimensional numpy arrays. + + +Extracting Main-Branch Matrices +------------------------------- + +Sometimes, only the main-branch (defined by following the most massive +progenitor at each timestep) is needed. The function :func:`get_mainbranch_indices` +is a convenient function to construct a matrix of shape `(n_targets x n_steps)`, +where each column corresponds to the main branch of a halo, and each row +corresponds to an output step of the simulation. At times where a halo does not +exist, the index is set to -1. + +This index matrix can then be used to get the history of any stored halo +parameter. As an example, we can easily extract the mass history of all halos in +the mass-bin [1e13, 2e13] at z=0: + +.. code-block:: python + + z0_mask = forest['snapnum'] == 100 + mlim = [1e13, 2e13] + target_mask = z0_mask \ + & (forest['tree_node_mass'] > mlim[0]) \ + & (forest['tree_node_mass'] < mlim[1]) + target_idx = forest['halo_index'][target_mask] + + # this will create a matrix of shape (ntargets, nsteps), where each row + # is the main progenitor branch of a target. It contains the indices to the + # forest data, and is -1 if the halo does not exist at that time + mainbranch_index = haccytrees.mergertrees.get_mainbranch_indices( + forest, simulation='LastJourney', target_index=target_idx + ) + + # Get the mass of the main branches + active_mask = mainbranch_index != -1 + mainbranch_mass = np.zeros_like(mainbranch_index, dtype=np.float32) + mainbranch_mass[active_mask] = forest['tree_node_mass'][mainbranch_index[active_mask]] + + +Finding Major Mergers +--------------------- + +Another common task is finding mergers above a certain relative or absolute +threshold. To get the merger ratio from the two most massive progenitors of a +list of target halos, the function :func:`get_nth_progenitor_indices` can be +used as follows: + +.. code-block:: python + + # get indices to main progenitors + main_progenitor_index = haccytrees.mergertrees.get_nth_progenitor_indices( + forest, progenitor_array, target_index=mainbranch_index[active_mask], n=1 + ) + + # get indices to secondary progenitors (main mergers) + main_merger_index = haccytrees.mergertrees.get_nth_progenitor_indices( + forest, progenitor_array, target_index=mainbranch_index[active_mask], n=2 + ) + + # the index will be negative if there's no merger, mask those out + merger_mask = main_merger_index >= 0 + + # allocate a merger_ratio matrix, 0 by default + merger_ratio = np.zeros_like(mainbranch_index, dtype=np.float32) + + # fill the elements for which a merger occurred with the mass ratio + merger_ratio[tuple(np.argwhere(active_mask)[merger_mask].T)] = \ + forest['tree_node_mass'][main_merger_index[merger_mask]] / + forest['tree_node_mass'][main_progenitor_index[merger_mask]] + + +Major mergers can then be identified by finding the entries in ``merger_ratio`` +above the major merger threshold. + +If an absolute major merger criteria is required, we only have to extract the +mass of the main merger (secondary progenitor), i.e. + +.. code-block:: python + + # get indices to secondary progenitors (main mergers) + main_merger_index = haccytrees.mergertrees.get_nth_progenitor_indices( + forest, progenitor_array, target_index=mainbranch_index[active_mask], n=2 + ) + + # the index will be negative if there's no merger, mask those out + merger_mask = main_merger_index >= 0 + + # allocate an array containing the merger masses, 0 by default + merger_mass = np.zeros_like(mainbranch_index, dtype=np.float32) + + # fill the elements for which a merger occurred with the mass of the main merger + merger_mass[tuple(np.argwhere(active_mask)[merger_mask].T)] = \ + forest['tree_node_mass'][main_merger_index[merger_mask]] + +Then, halos that in the last timestep underwent a major merger defined by an +absolute mass threshold ``mass_threshold``, can be selected by ``merger_mass >= +mass_threshold``. + +In both cases, the scale factor of the last major merger can be found by finding +the last column at which the merger ratio or merger mass is above the threshold, +i.e. + +.. code-block:: python + + simulation = haccytrees.Simulation.simulations['LastJourney'] + scale_factors = simulation.step2a(np.array(simulation.cosmotools_steps)) + last_snap = len(simulation.cosmotools_steps) - 1 + + # major merger mask with a relative threshold + mm_mask = merger_ratio > threshold + + # major merger mask with an absolute threshold + mm_mask = merger_mass > threshold + + # finding the last index + last_mm_index = last_snap - np.argmax(mm_mask[:, ::-1], axis=1) + + last_mm_redshift = 1/scale_factors[last_mm_index] - 1 + + # mark all halos without any major merger with a last_mm_redshift of -1 + last_mm_redshift[~np.any(mm_mask, axis=1)] = -1 + + +Obtaining a Histogram of Infall Masses +-------------------------------------- + +The mass distribution of the halos that merge onto the main-progenitor branches +of a halo (i.e. the infall masses) can be obtained with the function +:meth:`get_infall_histogram`. + +.. code-block:: python + + # target all halos at z=0 in [10**13.0, 10**13.05] mass range + mask = forest['snapnum'] == 100 + mask &= forest['tree_node_mass'] > 10**13.0 + mask &= forest['tree_node_mass'] < 10**13.05 + target_index = np.nonzero(mask)[0] + + # upper and lower masses for histogram in log units + m_low = 11 + m_high = 13 + nbins = 50 + + infall_hist = haccytrees.mergertrees.get_infall_histogram( + fg_forest, + target_index, + 10**m_low, + 10**m_high, + nbins) + + # calculate the bin centers + imass_edges = np.linspace(m_low, m_high, nbins+1, endpoint=True) + imass_centers = 0.5*(imass_edges[1:] + imass_edges[:-1]) + imass_centers = 10**imass_centers + + # plot the distribution + fig, ax = plt.subplots() + ax.step(imass_centers, infall_hist, where='center') + + + + +-------------------------------------------------------------------------------- + +References +---------- + +.. autofunction:: read_forest + +.. autofunction:: get_mainbranch_indices + +.. autofunction:: get_nth_progenitor_indices + +.. autofunction:: get_infall_histogram \ No newline at end of file diff --git a/_sources/reading/layout.rst.txt b/_sources/reading/layout.rst.txt new file mode 100644 index 0000000..2917b0e --- /dev/null +++ b/_sources/reading/layout.rst.txt @@ -0,0 +1,170 @@ +.. _sec-forest-layout: + +Merger Forest Layout +==================== + +The forest data is stored in HDF5 files, in one-dimensional arrays under the +group ``forest``. If the forest is split into multiple files, each file is +`closed`, i.e. individual trees are never split. + +Instead of using array pointers, the tree-hierarchy is embedded in the ordering +of the data. Array pointers to descendant and progenitor halos can be generated +during the read-in of the forest data, see +:meth:`haccytrees.mergertrees.read_forest`. The tree data is ordered depth-first +and by ``tree-node-mass``, i.e. a main-progenitor branch is contiguous in the +array, starting from the root halo. This layout also has the advantage that a +sub-tree (e.g. starting from a progenitor at redshift 1) is contiguous in the +data arrays. To facilitate extracting a sub-tree, there is a forest array +``branch_size``, which stores the size of each halo's subtree. + +The following figure illustrates a small forest with two trees, spanning 10 +snapshots: + +.. figure:: mergertree_layout_sketch.svg + :width: 400px + :align: center + + Memory layout of a tree. Numbers show the array position, arrows incidate + mergers. Each row is the main progenitor branch of the first halo in that + row, columns are snapshots, starting with the latest snapshot (z=0) on the + left. + +The trees start with the root halo at the latest snapshot, followed by its main +progenitor branch. Then, the array continues with the earliest merger into this +branch and its progenitors, and so on. In the following table, we list the +branch size of each of the halos. Note that ``branch_size`` refers to the size +of the subtree starting at this halo. + + +===== ======= =========== +index snapnum branch_size +===== ======= =========== +0 9 46 +1 8 33 +2 7 32 +3 6 16 +4 5 15 +5 4 8 +6 3 7 +7 2 3 +8 1 2 +9 0 1 +10 2 3 +11 1 2 +12 0 1 +13 4 6 +14 3 3 +15 2 2 +16 1 1 +17 3 2 +18 2 1 +... ... ... +46 9 13 +47 8 12 +... ... ... +===== ======= =========== + +The ``snapnum`` column and the ordering of our data are sufficient to +reconstruct the tree structure. During read-in of the forests, the code +constructs additional arrays that help navigating the tree, without having to be +aware of the data layout: + +- ``desc_index``: the array index to the descendant halo +- ``progenitor_array``, ``progenitor_offset``, ``progenitor_count``: These arrays + help finding the indices of all progenitors associated with a halo, ordered + by ``tree_node_mass``: + + .. code-block:: python + + start = forest['progenitor_offset'][i] + end = start + forest['progenitor_count'][i] + progenitor_indices = progenitor_array[start:end] + + + +Available Columns +----------------- + +Here is a list of all data-columns in the HDF5 files as well as the arrays that +are automatically constructed by haccytrees during the reading of those files: + +.. table:: Columns stored in the HDF5 file + :widths: 30 60 10 + :class: full-width + + +-----------------------+-------------------------------------------------------+----------------------------+ + | Key | Description | Units | + +=======================+=======================================================+============================+ + | tree_node_index | the unique ID given to the halo in the treenode files | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | desc_node_index | the tree_node_index of the descendant halo, -1 if no | | + | | descendant | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | fof_halo_tag | the FoF halo ID given by the in-situ halofinder. | | + | | For a fragmented halo | | + | | (:ref:`reading/fragments:Dealing with Fragments`), | | + | | the tag is negative | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | snapnum | the enumerated output, starting at 0 for the first | | + | | snapshot | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | tree_node_mass | the FoF mass of the halo, corrected for fragments | :math:`h^{-1}M_\odot` | + +-----------------------+-------------------------------------------------------+----------------------------+ + | fof_halo_mass | the FoF mass of the halo | :math:`h^{-1}M_\odot` | + +-----------------------+-------------------------------------------------------+----------------------------+ + | fof_halo_count | the number of particles in the FoF group | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_mass | the SOD mass (usually at 200c overdensity) | :math:`h^{-1}M_\odot` | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_radius | the SOD radius (usually at 200c overdensity) | :math:`h^{-1}\mathrm{Mpc}` | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_cdelta | the SOD concentration parameter | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_cdelta_error | the error estimate of sod_halo_cdelta | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_cdelta_accum | the SOD concentration parameter calculated using the | | + | | accumulated mass algorithm | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | sod_halo_cdelta_peak | the SOD concentration parameter calculated using the | | + | | dM/dr peak algorithm | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | xoff_fof | the offset of the FoF center of mass and potential | | + | | minimum, normalized by ``sod_halo_radius`` | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | xoff_sod | the offset of the SOD center of mass and potential | | + | | minimum, normalized by ``sod_halo_radius`` | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | xoff_com | the offset of the FoF center of mass and the SOD | | + | | center of mass, normalized by ``sod_halo_radius`` | | + +-----------------------+-------------------------------------------------------+----------------------------+ + | branch_size | the size (in the forest array) of the subtree | | + | | starting at this halo | | + +-----------------------+-------------------------------------------------------+----------------------------+ + + + +.. table:: Additional columns generated during reading + :widths: 30 70 + :class: full-width + + +-------------------+----------------------------------------------------+ + | Key | Description | + +===================+====================================================+ + | scale_factor | scale factor | + +-------------------+----------------------------------------------------+ + | halo_idx | the array position of the halo, created during the | + | | reading of the forest file | + +-------------------+----------------------------------------------------+ + | descendant_idx | the array position of the descendant halo, created | + | | during the reading of the forest file | + +-------------------+----------------------------------------------------+ + | progenitor_count | the number of progenitor this halo has | + +-------------------+----------------------------------------------------+ + | progenitor_offset | the location in the ``progenitor_array`` where the | + | | array indices to the progenitors are stored | + +-------------------+----------------------------------------------------+ + +The reader also generates a ``progenitor_array`` storing the indices of the +progenitor halos for each halo. This array can be used in conjunction with +``progenitor_count`` and ``progenitor_offset``. See :ref:`sec-reading-a-forest` +for more details. \ No newline at end of file diff --git a/_sources/reading/simulations.rst.txt b/_sources/reading/simulations.rst.txt new file mode 100644 index 0000000..b886a1d --- /dev/null +++ b/_sources/reading/simulations.rst.txt @@ -0,0 +1,23 @@ +Simulations +=========== + +.. currentmodule:: haccytrees.simulations + + +Available simulations +--------------------- + +.. include:: ../simulations.inc + + +-------------------------------------------------------------------------------- + +References +---------- + +.. autoclass:: Cosmology + :members: + + +.. autoclass:: Simulation + :members: \ No newline at end of file diff --git a/_sources/reading/subhalo_model.rst.txt b/_sources/reading/subhalo_model.rst.txt new file mode 100644 index 0000000..9e5d09f --- /dev/null +++ b/_sources/reading/subhalo_model.rst.txt @@ -0,0 +1,104 @@ +Subhalo Mass Model +================== + +.. currentmodule:: haccytrees.mergertrees + +The HACC merger trees (unlike the core-catalogs) do not contain any substructure +information. However, it is still possible to model the mass-loss of the merging +halos, using the subhalo mass model discussed in [Sultan2020]_. This model only +depends on the mass of the subhalo and the host halo at infall: + +.. math:: + + m(t + \Delta t) = + \begin{cases} + m(t) \; \exp -\frac{\Delta t}{\tau} & \zeta = 0 \\ + m(t) \left[ + 1 + \zeta \left( + \frac{m(t)}{M_\mathrm{host}(t)} + \right)^\zeta \frac{\Delta t}{\tau} + \right]^{-1 / \zeta} & \mathrm{else}, + \end{cases} + +where :math:`\tau` is the characteristic timescale of the subhalo mass loss (see +paper) and :math:`\zeta` and :math:`A` are free model parameters. In +[Sultan2020]_, :math:`\zeta=0.1` and :math:`A=1.1` have been found providing a +good fit over a large range of halo masses and redshifts. + + +Creating subhalo data +--------------------- + +The function :func:`create_submass_data` applies this mass-model to a merger +forest and allows querying the substructure masses of any halo in the forest. It +can be used as shown in this Last Journey example, where we decide to ignore +subhalos below a mass of :math:`1 \times 10^{10} h^{-1}M_\odot` and also +generate substructure statistics for each host halo: + +.. code-block:: python + + subhalo_data = haccytrees.mergertrees.create_submass_data( + forest, + 'LastJourney', + mass_threshold=1e10, + compute_fsub_stats=True) + +Setting ``compute_fsub_stats=True`` will add two columns to ``forest``, +``fsubmax`` and ``fsubtot``. The are defined as + +.. math:: + + f_\mathrm{sub, max} &= \frac{\max_i M_\mathrm{sub}}{M_\mathrm{host}}\\ + f_\mathrm{sub, tot} &= \frac{\sum_i M_\mathrm{sub}}{M_\mathrm{host}}, + +where :math:`i` runs over all subhalos of the host above the mass threshold. + + +Accessing subhalos +------------------ + +Individual subhalo masses can be accessed using the ``subdata_offset`` and +``subdata_size`` arrays in conjunction with the ``subhalo_data`` arrays. Let's +find the subhalos of the most massive halo in our forest and plot their mass +distribution relative to the host halo: + +.. code-block:: python + + target_idx = np.argmax(forest['tree_node_mass']) + start_idx = forest['subdata_offset'][target_idx] + end_idx = start_idx + forest['subdata_size'][target_idx] + subhalo_masses = subhalo_data['mass'][start_idx:end_idx] + + fig, ax = plt.subplots(figsize=(5, 3)) + target_mass = forest['tree_node_mass'][target_idx] + target_tnidx = forest['tree_node_index'][target_idx] + h, e, _ = ax.hist(np.log10(subhalo_masses/target_mass), 50, histtype='step'); + ax.set(yscale='log', xlim=e[[0,-1]], + xlabel=r'$\log M_\mathrm{sub} \; / \; M_\mathrm{host}$', + ylabel=r'$N_\mathrm{sub}$') + ax.set_title(f'Halo {target_tnidx}: {len(subhalo_masses)} subhalos') + fig.tight_layout() + +.. figure:: subhalo_masses.svg + :align: center + + Mass distribution of the subhalos belonging to the most massive halo in our + sample (``tree_node_index=2247296630669714101``, ``M = 1.28e15 # h-1 Msun``). + +Following subhalo evolutions +---------------------------- + +It is also possible to follow the (modeled) mass evolution of a merging halo as +it merges and becomes a subhalo. The following example shows how one can do +this for a merger into the halo discussed above. + + + +References +---------- + +.. autofunction:: create_submass_data + + +.. [Sultan2020] Sultan et al. (2020) + arXiv: `2012.09262 `_ \ No newline at end of file diff --git a/_sources/reading/visualization.rst.txt b/_sources/reading/visualization.rst.txt new file mode 100644 index 0000000..c59d78d --- /dev/null +++ b/_sources/reading/visualization.rst.txt @@ -0,0 +1,16 @@ +Visualization +============== + +.. currentmodule:: haccytrees.visualization + +[Some example script] + +.. image:: ../tree_example.svg + :width: 100% + +-------------------------------------------------------------------------------- + +References +---------- + +.. autofunction:: merger_tree_drawing diff --git a/_sources/utils/temporary_storage.rst.txt b/_sources/utils/temporary_storage.rst.txt new file mode 100644 index 0000000..ad65f84 --- /dev/null +++ b/_sources/utils/temporary_storage.rst.txt @@ -0,0 +1,30 @@ +.. _temporary-storage: + +Temporary Storage +================= + +.. currentmodule:: haccytrees.utils.datastores + +.. autosummary:: + :nosignatures: + + GenericIOStore + NumpyStore + + +References +---------- + +GenericIOStore +^^^^^^^^^^^^^^ +.. autoclass:: GenericIOStore + :members: + :undoc-members: + :special-members: __setitem__, __getitem__ + +NumpyStore +^^^^^^^^^^ +.. autoclass:: NumpyStore + :members: + :undoc-members: + :special-members: __setitem__, __getitem__ diff --git a/_static/_sphinx_javascript_frameworks_compat.js b/_static/_sphinx_javascript_frameworks_compat.js new file mode 100644 index 0000000..8549469 --- /dev/null +++ b/_static/_sphinx_javascript_frameworks_compat.js @@ -0,0 +1,134 @@ +/* + * _sphinx_javascript_frameworks_compat.js + * ~~~~~~~~~~ + * + * Compatability shim for jQuery and underscores.js. + * + * WILL BE REMOVED IN Sphinx 6.0 + * xref RemovedInSphinx60Warning + * + */ + +/** + * select a different prefix for underscore + */ +$u = _.noConflict(); + + +/** + * small helper function to urldecode strings + * + * See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/decodeURIComponent#Decoding_query_parameters_from_a_URL + */ +jQuery.urldecode = function(x) { + if (!x) { + return x + } + return decodeURIComponent(x.replace(/\+/g, ' ')); +}; + +/** + * small helper function to urlencode strings + */ +jQuery.urlencode = encodeURIComponent; + +/** + * This function returns the parsed url parameters of the + * current request. 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b/_static/doctools.js @@ -0,0 +1,156 @@ +/* + * doctools.js + * ~~~~~~~~~~~ + * + * Base JavaScript utilities for all Sphinx HTML documentation. + * + * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS. + * :license: BSD, see LICENSE for details. + * + */ +"use strict"; + +const BLACKLISTED_KEY_CONTROL_ELEMENTS = new Set([ + "TEXTAREA", + "INPUT", + "SELECT", + "BUTTON", +]); + +const _ready = (callback) => { + if (document.readyState !== "loading") { + callback(); + } else { + document.addEventListener("DOMContentLoaded", callback); + } +}; + +/** + * Small JavaScript module for the documentation. + */ +const Documentation = { + init: () => { + Documentation.initDomainIndexTable(); + Documentation.initOnKeyListeners(); + }, + + /** + * i18n support + */ + TRANSLATIONS: {}, + PLURAL_EXPR: (n) => (n === 1 ? 0 : 1), + LOCALE: "unknown", + + // gettext and ngettext don't access this so that the functions + // can safely bound to a different name (_ = Documentation.gettext) + gettext: (string) => { + const translated = Documentation.TRANSLATIONS[string]; + switch (typeof translated) { + case "undefined": + return string; // no translation + case "string": + return translated; // translation exists + default: + return translated[0]; // (singular, plural) translation tuple exists + } + }, + + ngettext: (singular, plural, n) => { + const translated = Documentation.TRANSLATIONS[singular]; + if (typeof translated !== "undefined") + return translated[Documentation.PLURAL_EXPR(n)]; + return n === 1 ? singular : plural; + }, + + addTranslations: (catalog) => { + Object.assign(Documentation.TRANSLATIONS, catalog.messages); + Documentation.PLURAL_EXPR = new Function( + "n", + `return (${catalog.plural_expr})` + ); + Documentation.LOCALE = catalog.locale; + }, + + /** + * helper function to focus on search bar + */ + focusSearchBar: () => { + document.querySelectorAll("input[name=q]")[0]?.focus(); + }, + + /** + * Initialise the domain index toggle buttons + */ + initDomainIndexTable: () => { + const toggler = (el) => { + const idNumber = el.id.substr(7); + const toggledRows = document.querySelectorAll(`tr.cg-${idNumber}`); + if (el.src.substr(-9) === "minus.png") { + el.src = `${el.src.substr(0, el.src.length - 9)}plus.png`; + toggledRows.forEach((el) => (el.style.display = "none")); + } else { + el.src = `${el.src.substr(0, el.src.length - 8)}minus.png`; + toggledRows.forEach((el) => (el.style.display = "")); + } + }; + + const togglerElements = document.querySelectorAll("img.toggler"); + togglerElements.forEach((el) => + el.addEventListener("click", (event) => toggler(event.currentTarget)) + ); + togglerElements.forEach((el) => (el.style.display = "")); + if (DOCUMENTATION_OPTIONS.COLLAPSE_INDEX) togglerElements.forEach(toggler); + }, + + initOnKeyListeners: () => { + // only install a listener if it is really needed + if ( + !DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS && + !DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS + ) + return; + + document.addEventListener("keydown", (event) => { + // bail for input elements + if (BLACKLISTED_KEY_CONTROL_ELEMENTS.has(document.activeElement.tagName)) return; + // bail with special keys + if (event.altKey || event.ctrlKey || event.metaKey) return; + + if (!event.shiftKey) { + switch (event.key) { + case "ArrowLeft": + if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break; + + const prevLink = document.querySelector('link[rel="prev"]'); + if (prevLink && prevLink.href) { + window.location.href = prevLink.href; + event.preventDefault(); + } + break; + case "ArrowRight": + if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break; + + const nextLink = document.querySelector('link[rel="next"]'); + if (nextLink && nextLink.href) { + window.location.href = nextLink.href; + event.preventDefault(); + } + break; + } + } + + // some keyboard layouts may need Shift to get / + switch (event.key) { + case "/": + if (!DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS) break; + Documentation.focusSearchBar(); + event.preventDefault(); + } + }); + }, +}; + +// quick alias for translations +const _ = Documentation.gettext; + +_ready(Documentation.init); diff --git a/_static/documentation_options.js b/_static/documentation_options.js new file mode 100644 index 0000000..c066c69 --- /dev/null +++ b/_static/documentation_options.js @@ -0,0 +1,14 @@ +var DOCUMENTATION_OPTIONS = { + URL_ROOT: document.getElementById("documentation_options").getAttribute('data-url_root'), + VERSION: '', + LANGUAGE: 'en', + COLLAPSE_INDEX: false, + BUILDER: 'dirhtml', + FILE_SUFFIX: '.html', + LINK_SUFFIX: '.html', + HAS_SOURCE: true, + SOURCELINK_SUFFIX: '.txt', + NAVIGATION_WITH_KEYS: false, + SHOW_SEARCH_SUMMARY: true, + ENABLE_SEARCH_SHORTCUTS: true, +}; \ No newline at end of file diff --git a/_static/file.png b/_static/file.png new file mode 100644 index 0000000..a858a41 Binary files /dev/null and b/_static/file.png differ diff --git a/_static/jquery-3.6.0.js b/_static/jquery-3.6.0.js new file mode 100644 index 0000000..fc6c299 --- /dev/null +++ b/_static/jquery-3.6.0.js @@ -0,0 +1,10881 @@ +/*! + * jQuery JavaScript Library v3.6.0 + * https://jquery.com/ + * + * Includes Sizzle.js + * https://sizzlejs.com/ + * + * Copyright OpenJS Foundation and other contributors + * Released under the MIT license + * https://jquery.org/license + * + * Date: 2021-03-02T17:08Z + */ +( function( global, factory ) { + + "use strict"; + + if ( typeof module === "object" && typeof module.exports === "object" ) { + + // For CommonJS and CommonJS-like environments where a proper `window` + // is present, execute the factory and get jQuery. + // For environments that do not have a `window` with a `document` + // (such as Node.js), expose a factory as module.exports. + // This accentuates the need for the creation of a real `window`. + // e.g. var jQuery = require("jquery")(window); + // See ticket #14549 for more info. + module.exports = global.document ? + factory( global, true ) : + function( w ) { + if ( !w.document ) { + throw new Error( "jQuery requires a window with a document" ); + } + return factory( w ); + }; + } else { + factory( global ); + } + +// Pass this if window is not defined yet +} )( typeof window !== "undefined" ? window : this, function( window, noGlobal ) { + +// Edge <= 12 - 13+, Firefox <=18 - 45+, IE 10 - 11, Safari 5.1 - 9+, iOS 6 - 9.1 +// throw exceptions when non-strict code (e.g., ASP.NET 4.5) accesses strict mode +// arguments.callee.caller (trac-13335). But as of jQuery 3.0 (2016), strict mode should be common +// enough that all such attempts are guarded in a try block. +"use strict"; + +var arr = []; + +var getProto = Object.getPrototypeOf; + +var slice = arr.slice; + +var flat = arr.flat ? function( array ) { + return arr.flat.call( array ); +} : function( array ) { + return arr.concat.apply( [], array ); +}; + + +var push = arr.push; + +var indexOf = arr.indexOf; + +var class2type = {}; + +var toString = class2type.toString; + +var hasOwn = class2type.hasOwnProperty; + +var fnToString = hasOwn.toString; + +var ObjectFunctionString = fnToString.call( Object ); + +var support = {}; + +var isFunction = function isFunction( obj ) { + + // Support: Chrome <=57, Firefox <=52 + // In some browsers, typeof returns "function" for HTML elements + // (i.e., `typeof document.createElement( "object" ) === "function"`). + // We don't want to classify *any* DOM node as a function. + // Support: QtWeb <=3.8.5, WebKit <=534.34, wkhtmltopdf tool <=0.12.5 + // Plus for old WebKit, typeof returns "function" for HTML collections + // (e.g., `typeof document.getElementsByTagName("div") === "function"`). (gh-4756) + return typeof obj === "function" && typeof obj.nodeType !== "number" && + typeof obj.item !== "function"; + }; + + +var isWindow = function isWindow( obj ) { + return obj != null && obj === obj.window; + }; + + +var document = window.document; + + + + var preservedScriptAttributes = { + type: true, + src: true, + nonce: true, + noModule: true + }; + + function DOMEval( code, node, doc ) { + doc = doc || document; + + var i, val, + script = doc.createElement( "script" ); + + script.text = code; + if ( node ) { + for ( i in preservedScriptAttributes ) { + + // Support: Firefox 64+, Edge 18+ + // Some browsers don't support the "nonce" property on scripts. + // On the other hand, just using `getAttribute` is not enough as + // the `nonce` attribute is reset to an empty string whenever it + // becomes browsing-context connected. + // See https://github.com/whatwg/html/issues/2369 + // See https://html.spec.whatwg.org/#nonce-attributes + // The `node.getAttribute` check was added for the sake of + // `jQuery.globalEval` so that it can fake a nonce-containing node + // via an object. + val = node[ i ] || node.getAttribute && node.getAttribute( i ); + if ( val ) { + script.setAttribute( i, val ); + } + } + } + doc.head.appendChild( script ).parentNode.removeChild( script ); + } + + +function toType( obj ) { + if ( obj == null ) { + return obj + ""; + } + + // Support: Android <=2.3 only (functionish RegExp) + return typeof obj === "object" || typeof obj === "function" ? + class2type[ toString.call( obj ) ] || "object" : + typeof obj; +} +/* global Symbol */ +// Defining this global in .eslintrc.json would create a danger of using the global +// unguarded in another place, it seems safer to define global only for this module + + + +var + version = "3.6.0", + + // Define a local copy of jQuery + jQuery = function( selector, context ) { + + // The jQuery object is actually just the init constructor 'enhanced' + // Need init if jQuery is called (just allow error to be thrown if not included) + return new jQuery.fn.init( selector, context ); + }; + +jQuery.fn = jQuery.prototype = { + + // The current version of jQuery being used + jquery: version, + + constructor: jQuery, + + // The default length of a jQuery object is 0 + length: 0, + + toArray: function() { + return slice.call( this ); + }, + + // Get the Nth element in the matched element set OR + // Get the whole matched element set as a clean array + get: function( num ) { + + // Return all the elements in a clean array + if ( num == null ) { + return slice.call( this ); + } + + // Return just the one element from the set + return num < 0 ? this[ num + this.length ] : this[ num ]; + }, + + // Take an array of elements and push it onto the stack + // (returning the new matched element set) + pushStack: function( elems ) { + + // Build a new jQuery matched element set + var ret = jQuery.merge( this.constructor(), elems ); + + // Add the old object onto the stack (as a reference) + ret.prevObject = this; + + // Return the newly-formed element set + return ret; + }, + + // Execute a callback for every element in the matched set. + each: function( callback ) { + return jQuery.each( this, callback ); + }, + + map: function( callback ) { + return this.pushStack( jQuery.map( this, function( elem, i ) { + return callback.call( elem, i, elem ); + } ) ); + }, + + slice: function() { + return this.pushStack( slice.apply( this, arguments ) ); + }, + + first: function() { + return this.eq( 0 ); + }, + + last: function() { + return this.eq( -1 ); + }, + + even: function() { + return this.pushStack( jQuery.grep( this, function( _elem, i ) { + return ( i + 1 ) % 2; + } ) ); + }, + + odd: function() { + return this.pushStack( jQuery.grep( this, function( _elem, i ) { + return i % 2; + } ) ); + }, + + eq: function( i ) { + var len = this.length, + j = +i + ( i < 0 ? len : 0 ); + return this.pushStack( j >= 0 && j < len ? [ this[ j ] ] : [] ); + }, + + end: function() { + return this.prevObject || this.constructor(); + }, + + // For internal use only. + // Behaves like an Array's method, not like a jQuery method. + push: push, + sort: arr.sort, + splice: arr.splice +}; + +jQuery.extend = jQuery.fn.extend = function() { + var options, name, src, copy, copyIsArray, clone, + target = arguments[ 0 ] || {}, + i = 1, + length = arguments.length, + deep = false; + + // Handle a deep copy situation + if ( typeof target === "boolean" ) { + deep = target; + + // Skip the boolean and the target + target = arguments[ i ] || {}; + i++; + } + + // Handle case when target is a string or something (possible in deep copy) + if ( typeof target !== "object" && !isFunction( target ) ) { + target = {}; + } + + // Extend jQuery itself if only one argument is passed + if ( i === length ) { + target = this; + i--; + } + + for ( ; i < length; i++ ) { + + // Only deal with non-null/undefined values + if ( ( options = arguments[ i ] ) != null ) { + + // Extend the base object + for ( name in options ) { + copy = options[ name ]; + + // Prevent Object.prototype pollution + // Prevent never-ending loop + if ( name === "__proto__" || target === copy ) { + continue; + } + + // Recurse if we're merging plain objects or arrays + if ( deep && copy && ( jQuery.isPlainObject( copy ) || + ( copyIsArray = Array.isArray( copy ) ) ) ) { + src = target[ name ]; + + // Ensure proper type for the source value + if ( copyIsArray && !Array.isArray( src ) ) { + clone = []; + } else if ( !copyIsArray && !jQuery.isPlainObject( src ) ) { + clone = {}; + } else { + clone = src; + } + copyIsArray = false; + + // Never move original objects, clone them + target[ name ] = jQuery.extend( deep, clone, copy ); + + // Don't bring in undefined values + } else if ( copy !== undefined ) { + target[ name ] = copy; + } + } + } + } + + // Return the modified object + return target; +}; + +jQuery.extend( { + + // Unique for each copy of jQuery on the page + expando: "jQuery" + ( version + Math.random() ).replace( /\D/g, "" ), + + // Assume jQuery is ready without the ready module + isReady: true, + + error: function( msg ) { + throw new Error( msg ); + }, + + noop: function() {}, + + isPlainObject: function( obj ) { + var proto, Ctor; + + // Detect obvious negatives + // Use toString instead of jQuery.type to catch host objects + if ( !obj || toString.call( obj ) !== "[object Object]" ) { + return false; + } + + proto = getProto( obj ); + + // Objects with no prototype (e.g., `Object.create( null )`) are plain + if ( !proto ) { + return true; + } + + // Objects with prototype are plain iff they were constructed by a global Object function + Ctor = hasOwn.call( proto, "constructor" ) && proto.constructor; + return typeof Ctor === "function" && fnToString.call( Ctor ) === ObjectFunctionString; + }, + + isEmptyObject: function( obj ) { + var name; + + for ( name in obj ) { + return false; + } + return true; + }, + + // Evaluates a script in a provided context; falls back to the global one + // if not specified. + globalEval: function( code, options, doc ) { + DOMEval( code, { nonce: options && options.nonce }, doc ); + }, + + each: function( obj, callback ) { + var length, i = 0; + + if ( isArrayLike( obj ) ) { + length = obj.length; + for ( ; i < length; i++ ) { + if ( callback.call( obj[ i ], i, obj[ i ] ) === false ) { + break; + } + } + } else { + for ( i in obj ) { + if ( callback.call( obj[ i ], i, obj[ i ] ) === false ) { + break; + } + } + } + + return obj; + }, + + // results is for internal usage only + makeArray: function( arr, results ) { + var ret = results || []; + + if ( arr != null ) { + if ( isArrayLike( Object( arr ) ) ) { + jQuery.merge( ret, + typeof arr === "string" ? + [ arr ] : arr + ); + } else { + push.call( ret, arr ); + } + } + + return ret; + }, + + inArray: function( elem, arr, i ) { + return arr == null ? -1 : indexOf.call( arr, elem, i ); + }, + + // Support: Android <=4.0 only, PhantomJS 1 only + // push.apply(_, arraylike) throws on ancient WebKit + merge: function( first, second ) { + var len = +second.length, + j = 0, + i = first.length; + + for ( ; j < len; j++ ) { + first[ i++ ] = second[ j ]; + } + + first.length = i; + + return first; + }, + + grep: function( elems, callback, invert ) { + var callbackInverse, + matches = [], + i = 0, + length = elems.length, + callbackExpect = !invert; + + // Go through the array, only saving the items + // that pass the validator function + for ( ; i < length; i++ ) { + callbackInverse = !callback( elems[ i ], i ); + if ( callbackInverse !== callbackExpect ) { + matches.push( elems[ i ] ); + } + } + + return matches; + }, + + // arg is for internal usage only + map: function( elems, callback, arg ) { + var length, value, + i = 0, + ret = []; + + // Go through the array, translating each of the items to their new values + if ( isArrayLike( elems ) ) { + length = elems.length; + for ( ; i < length; i++ ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + + // Go through every key on the object, + } else { + for ( i in elems ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + } + + // Flatten any nested arrays + return flat( ret ); + }, + + // A global GUID counter for objects + guid: 1, + + // jQuery.support is not used in Core but other projects attach their + // properties to it so it needs to exist. + support: support +} ); + +if ( typeof Symbol === "function" ) { + jQuery.fn[ Symbol.iterator ] = arr[ Symbol.iterator ]; +} + +// Populate the class2type map +jQuery.each( "Boolean Number String Function Array Date RegExp Object Error Symbol".split( " " ), + function( _i, name ) { + class2type[ "[object " + name + "]" ] = name.toLowerCase(); + } ); + +function isArrayLike( obj ) { + + // Support: real iOS 8.2 only (not reproducible in simulator) + // `in` check used to prevent JIT error (gh-2145) + // hasOwn isn't used here due to false negatives + // regarding Nodelist length in IE + var length = !!obj && "length" in obj && obj.length, + type = toType( obj ); + + if ( isFunction( obj ) || isWindow( obj ) ) { + return false; + } + + return type === "array" || length === 0 || + typeof length === "number" && length > 0 && ( length - 1 ) in obj; +} +var Sizzle = +/*! + * Sizzle CSS Selector Engine v2.3.6 + * https://sizzlejs.com/ + * + * Copyright JS Foundation and other contributors + * Released under the MIT license + * https://js.foundation/ + * + * Date: 2021-02-16 + */ +( function( window ) { +var i, + support, + Expr, + getText, + isXML, + tokenize, + compile, + select, + outermostContext, + sortInput, + hasDuplicate, + + // Local document vars + setDocument, + document, + docElem, + documentIsHTML, + rbuggyQSA, + rbuggyMatches, + matches, + contains, + + // Instance-specific data + expando = "sizzle" + 1 * new Date(), + preferredDoc = window.document, + dirruns = 0, + done = 0, + classCache = createCache(), + tokenCache = createCache(), + compilerCache = createCache(), + nonnativeSelectorCache = createCache(), + sortOrder = function( a, b ) { + if ( a === b ) { + hasDuplicate = true; + } + return 0; + }, + + // Instance methods + hasOwn = ( {} ).hasOwnProperty, + arr = [], + pop = arr.pop, + pushNative = arr.push, + push = arr.push, + slice = arr.slice, + + // Use a stripped-down indexOf as it's faster than native + // https://jsperf.com/thor-indexof-vs-for/5 + indexOf = function( list, elem ) { + var i = 0, + len = list.length; + for ( ; i < len; i++ ) { + if ( list[ i ] === elem ) { + return i; + } + } + return -1; + }, + + booleans = "checked|selected|async|autofocus|autoplay|controls|defer|disabled|hidden|" + + "ismap|loop|multiple|open|readonly|required|scoped", + + // Regular expressions + + // http://www.w3.org/TR/css3-selectors/#whitespace + whitespace = "[\\x20\\t\\r\\n\\f]", + + // https://www.w3.org/TR/css-syntax-3/#ident-token-diagram + identifier = "(?:\\\\[\\da-fA-F]{1,6}" + whitespace + + "?|\\\\[^\\r\\n\\f]|[\\w-]|[^\0-\\x7f])+", + + // Attribute selectors: http://www.w3.org/TR/selectors/#attribute-selectors + attributes = "\\[" + whitespace + "*(" + identifier + ")(?:" + whitespace + + + // Operator (capture 2) + "*([*^$|!~]?=)" + whitespace + + + // "Attribute values must be CSS identifiers [capture 5] + // or strings [capture 3 or capture 4]" + "*(?:'((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\"|(" + identifier + "))|)" + + whitespace + "*\\]", + + pseudos = ":(" + identifier + ")(?:\\((" + + + // To reduce the number of selectors needing tokenize in the preFilter, prefer arguments: + // 1. quoted (capture 3; capture 4 or capture 5) + "('((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\")|" + + + // 2. simple (capture 6) + "((?:\\\\.|[^\\\\()[\\]]|" + attributes + ")*)|" + + + // 3. anything else (capture 2) + ".*" + + ")\\)|)", + + // Leading and non-escaped trailing whitespace, capturing some non-whitespace characters preceding the latter + rwhitespace = new RegExp( whitespace + "+", "g" ), + rtrim = new RegExp( "^" + whitespace + "+|((?:^|[^\\\\])(?:\\\\.)*)" + + whitespace + "+$", "g" ), + + rcomma = new RegExp( "^" + whitespace + "*," + whitespace + "*" ), + rcombinators = new RegExp( "^" + whitespace + "*([>+~]|" + whitespace + ")" + whitespace + + "*" ), + rdescend = new RegExp( whitespace + "|>" ), + + rpseudo = new RegExp( pseudos ), + ridentifier = new RegExp( "^" + identifier + "$" ), + + matchExpr = { + "ID": new RegExp( "^#(" + identifier + ")" ), + "CLASS": new RegExp( "^\\.(" + identifier + ")" ), + "TAG": new RegExp( "^(" + identifier + "|[*])" ), + "ATTR": new RegExp( "^" + attributes ), + "PSEUDO": new RegExp( "^" + pseudos ), + "CHILD": new RegExp( "^:(only|first|last|nth|nth-last)-(child|of-type)(?:\\(" + + whitespace + "*(even|odd|(([+-]|)(\\d*)n|)" + whitespace + "*(?:([+-]|)" + + whitespace + "*(\\d+)|))" + whitespace + "*\\)|)", "i" ), + "bool": new RegExp( "^(?:" + booleans + ")$", "i" ), + + // For use in libraries implementing .is() + // We use this for POS matching in `select` + "needsContext": new RegExp( "^" + whitespace + + "*[>+~]|:(even|odd|eq|gt|lt|nth|first|last)(?:\\(" + whitespace + + "*((?:-\\d)?\\d*)" + whitespace + "*\\)|)(?=[^-]|$)", "i" ) + }, + + rhtml = /HTML$/i, + rinputs = /^(?:input|select|textarea|button)$/i, + rheader = /^h\d$/i, + + rnative = /^[^{]+\{\s*\[native \w/, + + // Easily-parseable/retrievable ID or TAG or CLASS selectors + rquickExpr = /^(?:#([\w-]+)|(\w+)|\.([\w-]+))$/, + + rsibling = /[+~]/, + + // CSS escapes + // http://www.w3.org/TR/CSS21/syndata.html#escaped-characters + runescape = new RegExp( "\\\\[\\da-fA-F]{1,6}" + whitespace + "?|\\\\([^\\r\\n\\f])", "g" ), + funescape = function( escape, nonHex ) { + var high = "0x" + escape.slice( 1 ) - 0x10000; + + return nonHex ? + + // Strip the backslash prefix from a non-hex escape sequence + nonHex : + + // Replace a hexadecimal escape sequence with the encoded Unicode code point + // Support: IE <=11+ + // For values outside the Basic Multilingual Plane (BMP), manually construct a + // surrogate pair + high < 0 ? + String.fromCharCode( high + 0x10000 ) : + String.fromCharCode( high >> 10 | 0xD800, high & 0x3FF | 0xDC00 ); + }, + + // CSS string/identifier serialization + // https://drafts.csswg.org/cssom/#common-serializing-idioms + rcssescape = /([\0-\x1f\x7f]|^-?\d)|^-$|[^\0-\x1f\x7f-\uFFFF\w-]/g, + fcssescape = function( ch, asCodePoint ) { + if ( asCodePoint ) { + + // U+0000 NULL becomes U+FFFD REPLACEMENT CHARACTER + if ( ch === "\0" ) { + return "\uFFFD"; + } + + // Control characters and (dependent upon position) numbers get escaped as code points + return ch.slice( 0, -1 ) + "\\" + + ch.charCodeAt( ch.length - 1 ).toString( 16 ) + " "; + } + + // Other potentially-special ASCII characters get backslash-escaped + return "\\" + ch; + }, + + // Used for iframes + // See setDocument() + // Removing the function wrapper causes a "Permission Denied" + // error in IE + unloadHandler = function() { + setDocument(); + }, + + inDisabledFieldset = addCombinator( + function( elem ) { + return elem.disabled === true && elem.nodeName.toLowerCase() === "fieldset"; + }, + { dir: "parentNode", next: "legend" } + ); + +// Optimize for push.apply( _, NodeList ) +try { + push.apply( + ( arr = slice.call( preferredDoc.childNodes ) ), + preferredDoc.childNodes + ); + + // Support: Android<4.0 + // Detect silently failing push.apply + // eslint-disable-next-line no-unused-expressions + arr[ preferredDoc.childNodes.length ].nodeType; +} catch ( e ) { + push = { apply: arr.length ? + + // Leverage slice if possible + function( target, els ) { + pushNative.apply( target, slice.call( els ) ); + } : + + // Support: IE<9 + // Otherwise append directly + function( target, els ) { + var j = target.length, + i = 0; + + // Can't trust NodeList.length + while ( ( target[ j++ ] = els[ i++ ] ) ) {} + target.length = j - 1; + } + }; +} + +function Sizzle( selector, context, results, seed ) { + var m, i, elem, nid, match, groups, newSelector, + newContext = context && context.ownerDocument, + + // nodeType defaults to 9, since context defaults to document + nodeType = context ? context.nodeType : 9; + + results = results || []; + + // Return early from calls with invalid selector or context + if ( typeof selector !== "string" || !selector || + nodeType !== 1 && nodeType !== 9 && nodeType !== 11 ) { + + return results; + } + + // Try to shortcut find operations (as opposed to filters) in HTML documents + if ( !seed ) { + setDocument( context ); + context = context || document; + + if ( documentIsHTML ) { + + // If the selector is sufficiently simple, try using a "get*By*" DOM method + // (excepting DocumentFragment context, where the methods don't exist) + if ( nodeType !== 11 && ( match = rquickExpr.exec( selector ) ) ) { + + // ID selector + if ( ( m = match[ 1 ] ) ) { + + // Document context + if ( nodeType === 9 ) { + if ( ( elem = context.getElementById( m ) ) ) { + + // Support: IE, Opera, Webkit + // TODO: identify versions + // getElementById can match elements by name instead of ID + if ( elem.id === m ) { + results.push( elem ); + return results; + } + } else { + return results; + } + + // Element context + } else { + + // Support: IE, Opera, Webkit + // TODO: identify versions + // getElementById can match elements by name instead of ID + if ( newContext && ( elem = newContext.getElementById( m ) ) && + contains( context, elem ) && + elem.id === m ) { + + results.push( elem ); + return results; + } + } + + // Type selector + } else if ( match[ 2 ] ) { + push.apply( results, context.getElementsByTagName( selector ) ); + return results; + + // Class selector + } else if ( ( m = match[ 3 ] ) && support.getElementsByClassName && + context.getElementsByClassName ) { + + push.apply( results, context.getElementsByClassName( m ) ); + return results; + } + } + + // Take advantage of querySelectorAll + if ( support.qsa && + !nonnativeSelectorCache[ selector + " " ] && + ( !rbuggyQSA || !rbuggyQSA.test( selector ) ) && + + // Support: IE 8 only + // Exclude object elements + ( nodeType !== 1 || context.nodeName.toLowerCase() !== "object" ) ) { + + newSelector = selector; + newContext = context; + + // qSA considers elements outside a scoping root when evaluating child or + // descendant combinators, which is not what we want. + // In such cases, we work around the behavior by prefixing every selector in the + // list with an ID selector referencing the scope context. + // The technique has to be used as well when a leading combinator is used + // as such selectors are not recognized by querySelectorAll. + // Thanks to Andrew Dupont for this technique. + if ( nodeType === 1 && + ( rdescend.test( selector ) || rcombinators.test( selector ) ) ) { + + // Expand context for sibling selectors + newContext = rsibling.test( selector ) && testContext( context.parentNode ) || + context; + + // We can use :scope instead of the ID hack if the browser + // supports it & if we're not changing the context. + if ( newContext !== context || !support.scope ) { + + // Capture the context ID, setting it first if necessary + if ( ( nid = context.getAttribute( "id" ) ) ) { + nid = nid.replace( rcssescape, fcssescape ); + } else { + context.setAttribute( "id", ( nid = expando ) ); + } + } + + // Prefix every selector in the list + groups = tokenize( selector ); + i = groups.length; + while ( i-- ) { + groups[ i ] = ( nid ? "#" + nid : ":scope" ) + " " + + toSelector( groups[ i ] ); + } + newSelector = groups.join( "," ); + } + + try { + push.apply( results, + newContext.querySelectorAll( newSelector ) + ); + return results; + } catch ( qsaError ) { + nonnativeSelectorCache( selector, true ); + } finally { + if ( nid === expando ) { + context.removeAttribute( "id" ); + } + } + } + } + } + + // All others + return select( selector.replace( rtrim, "$1" ), context, results, seed ); +} + +/** + * Create key-value caches of limited size + * @returns {function(string, object)} Returns the Object data after storing it on itself with + * property name the (space-suffixed) string and (if the cache is larger than Expr.cacheLength) + * deleting the oldest entry + */ +function createCache() { + var keys = []; + + function cache( key, value ) { + + // Use (key + " ") to avoid collision with native prototype properties (see Issue #157) + if ( keys.push( key + " " ) > Expr.cacheLength ) { + + // Only keep the most recent entries + delete cache[ keys.shift() ]; + } + return ( cache[ key + " " ] = value ); + } + return cache; +} + +/** + * Mark a function for special use by Sizzle + * @param {Function} fn The function to mark + */ +function markFunction( fn ) { + fn[ expando ] = true; + return fn; +} + +/** + * Support testing using an element + * @param {Function} fn Passed the created element and returns a boolean result + */ +function assert( fn ) { + var el = document.createElement( "fieldset" ); + + try { + return !!fn( el ); + } catch ( e ) { + return false; + } finally { + + // Remove from its parent by default + if ( el.parentNode ) { + el.parentNode.removeChild( el ); + } + + // release memory in IE + el = null; + } +} + +/** + * Adds the same handler for all of the specified attrs + * @param {String} attrs Pipe-separated list of attributes + * @param {Function} handler The method that will be applied + */ +function addHandle( attrs, handler ) { + var arr = attrs.split( "|" ), + i = arr.length; + + while ( i-- ) { + Expr.attrHandle[ arr[ i ] ] = handler; + } +} + +/** + * Checks document order of two siblings + * @param {Element} a + * @param {Element} b + * @returns {Number} Returns less than 0 if a precedes b, greater than 0 if a follows b + */ +function siblingCheck( a, b ) { + var cur = b && a, + diff = cur && a.nodeType === 1 && b.nodeType === 1 && + a.sourceIndex - b.sourceIndex; + + // Use IE sourceIndex if available on both nodes + if ( diff ) { + return diff; + } + + // Check if b follows a + if ( cur ) { + while ( ( cur = cur.nextSibling ) ) { + if ( cur === b ) { + return -1; + } + } + } + + return a ? 1 : -1; +} + +/** + * Returns a function to use in pseudos for input types + * @param {String} type + */ +function createInputPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for buttons + * @param {String} type + */ +function createButtonPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return ( name === "input" || name === "button" ) && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for :enabled/:disabled + * @param {Boolean} disabled true for :disabled; false for :enabled + */ +function createDisabledPseudo( disabled ) { + + // Known :disabled false positives: fieldset[disabled] > legend:nth-of-type(n+2) :can-disable + return function( elem ) { + + // Only certain elements can match :enabled or :disabled + // https://html.spec.whatwg.org/multipage/scripting.html#selector-enabled + // https://html.spec.whatwg.org/multipage/scripting.html#selector-disabled + if ( "form" in elem ) { + + // Check for inherited disabledness on relevant non-disabled elements: + // * listed form-associated elements in a disabled fieldset + // https://html.spec.whatwg.org/multipage/forms.html#category-listed + // https://html.spec.whatwg.org/multipage/forms.html#concept-fe-disabled + // * option elements in a disabled optgroup + // https://html.spec.whatwg.org/multipage/forms.html#concept-option-disabled + // All such elements have a "form" property. + if ( elem.parentNode && elem.disabled === false ) { + + // Option elements defer to a parent optgroup if present + if ( "label" in elem ) { + if ( "label" in elem.parentNode ) { + return elem.parentNode.disabled === disabled; + } else { + return elem.disabled === disabled; + } + } + + // Support: IE 6 - 11 + // Use the isDisabled shortcut property to check for disabled fieldset ancestors + return elem.isDisabled === disabled || + + // Where there is no isDisabled, check manually + /* jshint -W018 */ + elem.isDisabled !== !disabled && + inDisabledFieldset( elem ) === disabled; + } + + return elem.disabled === disabled; + + // Try to winnow out elements that can't be disabled before trusting the disabled property. + // Some victims get caught in our net (label, legend, menu, track), but it shouldn't + // even exist on them, let alone have a boolean value. + } else if ( "label" in elem ) { + return elem.disabled === disabled; + } + + // Remaining elements are neither :enabled nor :disabled + return false; + }; +} + +/** + * Returns a function to use in pseudos for positionals + * @param {Function} fn + */ +function createPositionalPseudo( fn ) { + return markFunction( function( argument ) { + argument = +argument; + return markFunction( function( seed, matches ) { + var j, + matchIndexes = fn( [], seed.length, argument ), + i = matchIndexes.length; + + // Match elements found at the specified indexes + while ( i-- ) { + if ( seed[ ( j = matchIndexes[ i ] ) ] ) { + seed[ j ] = !( matches[ j ] = seed[ j ] ); + } + } + } ); + } ); +} + +/** + * Checks a node for validity as a Sizzle context + * @param {Element|Object=} context + * @returns {Element|Object|Boolean} The input node if acceptable, otherwise a falsy value + */ +function testContext( context ) { + return context && typeof context.getElementsByTagName !== "undefined" && context; +} + +// Expose support vars for convenience +support = Sizzle.support = {}; + +/** + * Detects XML nodes + * @param {Element|Object} elem An element or a document + * @returns {Boolean} True iff elem is a non-HTML XML node + */ +isXML = Sizzle.isXML = function( elem ) { + var namespace = elem && elem.namespaceURI, + docElem = elem && ( elem.ownerDocument || elem ).documentElement; + + // Support: IE <=8 + // Assume HTML when documentElement doesn't yet exist, such as inside loading iframes + // https://bugs.jquery.com/ticket/4833 + return !rhtml.test( namespace || docElem && docElem.nodeName || "HTML" ); +}; + +/** + * Sets document-related variables once based on the current document + * @param {Element|Object} [doc] An element or document object to use to set the document + * @returns {Object} Returns the current document + */ +setDocument = Sizzle.setDocument = function( node ) { + var hasCompare, subWindow, + doc = node ? node.ownerDocument || node : preferredDoc; + + // Return early if doc is invalid or already selected + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( doc == document || doc.nodeType !== 9 || !doc.documentElement ) { + return document; + } + + // Update global variables + document = doc; + docElem = document.documentElement; + documentIsHTML = !isXML( document ); + + // Support: IE 9 - 11+, Edge 12 - 18+ + // Accessing iframe documents after unload throws "permission denied" errors (jQuery #13936) + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( preferredDoc != document && + ( subWindow = document.defaultView ) && subWindow.top !== subWindow ) { + + // Support: IE 11, Edge + if ( subWindow.addEventListener ) { + subWindow.addEventListener( "unload", unloadHandler, false ); + + // Support: IE 9 - 10 only + } else if ( subWindow.attachEvent ) { + subWindow.attachEvent( "onunload", unloadHandler ); + } + } + + // Support: IE 8 - 11+, Edge 12 - 18+, Chrome <=16 - 25 only, Firefox <=3.6 - 31 only, + // Safari 4 - 5 only, Opera <=11.6 - 12.x only + // IE/Edge & older browsers don't support the :scope pseudo-class. + // Support: Safari 6.0 only + // Safari 6.0 supports :scope but it's an alias of :root there. + support.scope = assert( function( el ) { + docElem.appendChild( el ).appendChild( document.createElement( "div" ) ); + return typeof el.querySelectorAll !== "undefined" && + !el.querySelectorAll( ":scope fieldset div" ).length; + } ); + + /* Attributes + ---------------------------------------------------------------------- */ + + // Support: IE<8 + // Verify that getAttribute really returns attributes and not properties + // (excepting IE8 booleans) + support.attributes = assert( function( el ) { + el.className = "i"; + return !el.getAttribute( "className" ); + } ); + + /* getElement(s)By* + ---------------------------------------------------------------------- */ + + // Check if getElementsByTagName("*") returns only elements + support.getElementsByTagName = assert( function( el ) { + el.appendChild( document.createComment( "" ) ); + return !el.getElementsByTagName( "*" ).length; + } ); + + // Support: IE<9 + support.getElementsByClassName = rnative.test( document.getElementsByClassName ); + + // Support: IE<10 + // Check if getElementById returns elements by name + // The broken getElementById methods don't pick up programmatically-set names, + // so use a roundabout getElementsByName test + support.getById = assert( function( el ) { + docElem.appendChild( el ).id = expando; + return !document.getElementsByName || !document.getElementsByName( expando ).length; + } ); + + // ID filter and find + if ( support.getById ) { + Expr.filter[ "ID" ] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + return elem.getAttribute( "id" ) === attrId; + }; + }; + Expr.find[ "ID" ] = function( id, context ) { + if ( typeof context.getElementById !== "undefined" && documentIsHTML ) { + var elem = context.getElementById( id ); + return elem ? [ elem ] : []; + } + }; + } else { + Expr.filter[ "ID" ] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + var node = typeof elem.getAttributeNode !== "undefined" && + elem.getAttributeNode( "id" ); + return node && node.value === attrId; + }; + }; + + // Support: IE 6 - 7 only + // getElementById is not reliable as a find shortcut + Expr.find[ "ID" ] = function( id, context ) { + if ( typeof context.getElementById !== "undefined" && documentIsHTML ) { + var node, i, elems, + elem = context.getElementById( id ); + + if ( elem ) { + + // Verify the id attribute + node = elem.getAttributeNode( "id" ); + if ( node && node.value === id ) { + return [ elem ]; + } + + // Fall back on getElementsByName + elems = context.getElementsByName( id ); + i = 0; + while ( ( elem = elems[ i++ ] ) ) { + node = elem.getAttributeNode( "id" ); + if ( node && node.value === id ) { + return [ elem ]; + } + } + } + + return []; + } + }; + } + + // Tag + Expr.find[ "TAG" ] = support.getElementsByTagName ? + function( tag, context ) { + if ( typeof context.getElementsByTagName !== "undefined" ) { + return context.getElementsByTagName( tag ); + + // DocumentFragment nodes don't have gEBTN + } else if ( support.qsa ) { + return context.querySelectorAll( tag ); + } + } : + + function( tag, context ) { + var elem, + tmp = [], + i = 0, + + // By happy coincidence, a (broken) gEBTN appears on DocumentFragment nodes too + results = context.getElementsByTagName( tag ); + + // Filter out possible comments + if ( tag === "*" ) { + while ( ( elem = results[ i++ ] ) ) { + if ( elem.nodeType === 1 ) { + tmp.push( elem ); + } + } + + return tmp; + } + return results; + }; + + // Class + Expr.find[ "CLASS" ] = support.getElementsByClassName && function( className, context ) { + if ( typeof context.getElementsByClassName !== "undefined" && documentIsHTML ) { + return context.getElementsByClassName( className ); + } + }; + + /* QSA/matchesSelector + ---------------------------------------------------------------------- */ + + // QSA and matchesSelector support + + // matchesSelector(:active) reports false when true (IE9/Opera 11.5) + rbuggyMatches = []; + + // qSa(:focus) reports false when true (Chrome 21) + // We allow this because of a bug in IE8/9 that throws an error + // whenever `document.activeElement` is accessed on an iframe + // So, we allow :focus to pass through QSA all the time to avoid the IE error + // See https://bugs.jquery.com/ticket/13378 + rbuggyQSA = []; + + if ( ( support.qsa = rnative.test( document.querySelectorAll ) ) ) { + + // Build QSA regex + // Regex strategy adopted from Diego Perini + assert( function( el ) { + + var input; + + // Select is set to empty string on purpose + // This is to test IE's treatment of not explicitly + // setting a boolean content attribute, + // since its presence should be enough + // https://bugs.jquery.com/ticket/12359 + docElem.appendChild( el ).innerHTML = "" + + ""; + + // Support: IE8, Opera 11-12.16 + // Nothing should be selected when empty strings follow ^= or $= or *= + // The test attribute must be unknown in Opera but "safe" for WinRT + // https://msdn.microsoft.com/en-us/library/ie/hh465388.aspx#attribute_section + if ( el.querySelectorAll( "[msallowcapture^='']" ).length ) { + rbuggyQSA.push( "[*^$]=" + whitespace + "*(?:''|\"\")" ); + } + + // Support: IE8 + // Boolean attributes and "value" are not treated correctly + if ( !el.querySelectorAll( "[selected]" ).length ) { + rbuggyQSA.push( "\\[" + whitespace + "*(?:value|" + booleans + ")" ); + } + + // Support: Chrome<29, Android<4.4, Safari<7.0+, iOS<7.0+, PhantomJS<1.9.8+ + if ( !el.querySelectorAll( "[id~=" + expando + "-]" ).length ) { + rbuggyQSA.push( "~=" ); + } + + // Support: IE 11+, Edge 15 - 18+ + // IE 11/Edge don't find elements on a `[name='']` query in some cases. + // Adding a temporary attribute to the document before the selection works + // around the issue. + // Interestingly, IE 10 & older don't seem to have the issue. + input = document.createElement( "input" ); + input.setAttribute( "name", "" ); + el.appendChild( input ); + if ( !el.querySelectorAll( "[name='']" ).length ) { + rbuggyQSA.push( "\\[" + whitespace + "*name" + whitespace + "*=" + + whitespace + "*(?:''|\"\")" ); + } + + // Webkit/Opera - :checked should return selected option elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + // IE8 throws error here and will not see later tests + if ( !el.querySelectorAll( ":checked" ).length ) { + rbuggyQSA.push( ":checked" ); + } + + // Support: Safari 8+, iOS 8+ + // https://bugs.webkit.org/show_bug.cgi?id=136851 + // In-page `selector#id sibling-combinator selector` fails + if ( !el.querySelectorAll( "a#" + expando + "+*" ).length ) { + rbuggyQSA.push( ".#.+[+~]" ); + } + + // Support: Firefox <=3.6 - 5 only + // Old Firefox doesn't throw on a badly-escaped identifier. + el.querySelectorAll( "\\\f" ); + rbuggyQSA.push( "[\\r\\n\\f]" ); + } ); + + assert( function( el ) { + el.innerHTML = "" + + ""; + + // Support: Windows 8 Native Apps + // The type and name attributes are restricted during .innerHTML assignment + var input = document.createElement( "input" ); + input.setAttribute( "type", "hidden" ); + el.appendChild( input ).setAttribute( "name", "D" ); + + // Support: IE8 + // Enforce case-sensitivity of name attribute + if ( el.querySelectorAll( "[name=d]" ).length ) { + rbuggyQSA.push( "name" + whitespace + "*[*^$|!~]?=" ); + } + + // FF 3.5 - :enabled/:disabled and hidden elements (hidden elements are still enabled) + // IE8 throws error here and will not see later tests + if ( el.querySelectorAll( ":enabled" ).length !== 2 ) { + rbuggyQSA.push( ":enabled", ":disabled" ); + } + + // Support: IE9-11+ + // IE's :disabled selector does not pick up the children of disabled fieldsets + docElem.appendChild( el ).disabled = true; + if ( el.querySelectorAll( ":disabled" ).length !== 2 ) { + rbuggyQSA.push( ":enabled", ":disabled" ); + } + + // Support: Opera 10 - 11 only + // Opera 10-11 does not throw on post-comma invalid pseudos + el.querySelectorAll( "*,:x" ); + rbuggyQSA.push( ",.*:" ); + } ); + } + + if ( ( support.matchesSelector = rnative.test( ( matches = docElem.matches || + docElem.webkitMatchesSelector || + docElem.mozMatchesSelector || + docElem.oMatchesSelector || + docElem.msMatchesSelector ) ) ) ) { + + assert( function( el ) { + + // Check to see if it's possible to do matchesSelector + // on a disconnected node (IE 9) + support.disconnectedMatch = matches.call( el, "*" ); + + // This should fail with an exception + // Gecko does not error, returns false instead + matches.call( el, "[s!='']:x" ); + rbuggyMatches.push( "!=", pseudos ); + } ); + } + + rbuggyQSA = rbuggyQSA.length && new RegExp( rbuggyQSA.join( "|" ) ); + rbuggyMatches = rbuggyMatches.length && new RegExp( rbuggyMatches.join( "|" ) ); + + /* Contains + ---------------------------------------------------------------------- */ + hasCompare = rnative.test( docElem.compareDocumentPosition ); + + // Element contains another + // Purposefully self-exclusive + // As in, an element does not contain itself + contains = hasCompare || rnative.test( docElem.contains ) ? + function( a, b ) { + var adown = a.nodeType === 9 ? a.documentElement : a, + bup = b && b.parentNode; + return a === bup || !!( bup && bup.nodeType === 1 && ( + adown.contains ? + adown.contains( bup ) : + a.compareDocumentPosition && a.compareDocumentPosition( bup ) & 16 + ) ); + } : + function( a, b ) { + if ( b ) { + while ( ( b = b.parentNode ) ) { + if ( b === a ) { + return true; + } + } + } + return false; + }; + + /* Sorting + ---------------------------------------------------------------------- */ + + // Document order sorting + sortOrder = hasCompare ? + function( a, b ) { + + // Flag for duplicate removal + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + // Sort on method existence if only one input has compareDocumentPosition + var compare = !a.compareDocumentPosition - !b.compareDocumentPosition; + if ( compare ) { + return compare; + } + + // Calculate position if both inputs belong to the same document + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + compare = ( a.ownerDocument || a ) == ( b.ownerDocument || b ) ? + a.compareDocumentPosition( b ) : + + // Otherwise we know they are disconnected + 1; + + // Disconnected nodes + if ( compare & 1 || + ( !support.sortDetached && b.compareDocumentPosition( a ) === compare ) ) { + + // Choose the first element that is related to our preferred document + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( a == document || a.ownerDocument == preferredDoc && + contains( preferredDoc, a ) ) { + return -1; + } + + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( b == document || b.ownerDocument == preferredDoc && + contains( preferredDoc, b ) ) { + return 1; + } + + // Maintain original order + return sortInput ? + ( indexOf( sortInput, a ) - indexOf( sortInput, b ) ) : + 0; + } + + return compare & 4 ? -1 : 1; + } : + function( a, b ) { + + // Exit early if the nodes are identical + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + var cur, + i = 0, + aup = a.parentNode, + bup = b.parentNode, + ap = [ a ], + bp = [ b ]; + + // Parentless nodes are either documents or disconnected + if ( !aup || !bup ) { + + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + /* eslint-disable eqeqeq */ + return a == document ? -1 : + b == document ? 1 : + /* eslint-enable eqeqeq */ + aup ? -1 : + bup ? 1 : + sortInput ? + ( indexOf( sortInput, a ) - indexOf( sortInput, b ) ) : + 0; + + // If the nodes are siblings, we can do a quick check + } else if ( aup === bup ) { + return siblingCheck( a, b ); + } + + // Otherwise we need full lists of their ancestors for comparison + cur = a; + while ( ( cur = cur.parentNode ) ) { + ap.unshift( cur ); + } + cur = b; + while ( ( cur = cur.parentNode ) ) { + bp.unshift( cur ); + } + + // Walk down the tree looking for a discrepancy + while ( ap[ i ] === bp[ i ] ) { + i++; + } + + return i ? + + // Do a sibling check if the nodes have a common ancestor + siblingCheck( ap[ i ], bp[ i ] ) : + + // Otherwise nodes in our document sort first + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + /* eslint-disable eqeqeq */ + ap[ i ] == preferredDoc ? -1 : + bp[ i ] == preferredDoc ? 1 : + /* eslint-enable eqeqeq */ + 0; + }; + + return document; +}; + +Sizzle.matches = function( expr, elements ) { + return Sizzle( expr, null, null, elements ); +}; + +Sizzle.matchesSelector = function( elem, expr ) { + setDocument( elem ); + + if ( support.matchesSelector && documentIsHTML && + !nonnativeSelectorCache[ expr + " " ] && + ( !rbuggyMatches || !rbuggyMatches.test( expr ) ) && + ( !rbuggyQSA || !rbuggyQSA.test( expr ) ) ) { + + try { + var ret = matches.call( elem, expr ); + + // IE 9's matchesSelector returns false on disconnected nodes + if ( ret || support.disconnectedMatch || + + // As well, disconnected nodes are said to be in a document + // fragment in IE 9 + elem.document && elem.document.nodeType !== 11 ) { + return ret; + } + } catch ( e ) { + nonnativeSelectorCache( expr, true ); + } + } + + return Sizzle( expr, document, null, [ elem ] ).length > 0; +}; + +Sizzle.contains = function( context, elem ) { + + // Set document vars if needed + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( ( context.ownerDocument || context ) != document ) { + setDocument( context ); + } + return contains( context, elem ); +}; + +Sizzle.attr = function( elem, name ) { + + // Set document vars if needed + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( ( elem.ownerDocument || elem ) != document ) { + setDocument( elem ); + } + + var fn = Expr.attrHandle[ name.toLowerCase() ], + + // Don't get fooled by Object.prototype properties (jQuery #13807) + val = fn && hasOwn.call( Expr.attrHandle, name.toLowerCase() ) ? + fn( elem, name, !documentIsHTML ) : + undefined; + + return val !== undefined ? + val : + support.attributes || !documentIsHTML ? + elem.getAttribute( name ) : + ( val = elem.getAttributeNode( name ) ) && val.specified ? + val.value : + null; +}; + +Sizzle.escape = function( sel ) { + return ( sel + "" ).replace( rcssescape, fcssescape ); +}; + +Sizzle.error = function( msg ) { + throw new Error( "Syntax error, unrecognized expression: " + msg ); +}; + +/** + * Document sorting and removing duplicates + * @param {ArrayLike} results + */ +Sizzle.uniqueSort = function( results ) { + var elem, + duplicates = [], + j = 0, + i = 0; + + // Unless we *know* we can detect duplicates, assume their presence + hasDuplicate = !support.detectDuplicates; + sortInput = !support.sortStable && results.slice( 0 ); + results.sort( sortOrder ); + + if ( hasDuplicate ) { + while ( ( elem = results[ i++ ] ) ) { + if ( elem === results[ i ] ) { + j = duplicates.push( i ); + } + } + while ( j-- ) { + results.splice( duplicates[ j ], 1 ); + } + } + + // Clear input after sorting to release objects + // See https://github.com/jquery/sizzle/pull/225 + sortInput = null; + + return results; +}; + +/** + * Utility function for retrieving the text value of an array of DOM nodes + * @param {Array|Element} elem + */ +getText = Sizzle.getText = function( elem ) { + var node, + ret = "", + i = 0, + nodeType = elem.nodeType; + + if ( !nodeType ) { + + // If no nodeType, this is expected to be an array + while ( ( node = elem[ i++ ] ) ) { + + // Do not traverse comment nodes + ret += getText( node ); + } + } else if ( nodeType === 1 || nodeType === 9 || nodeType === 11 ) { + + // Use textContent for elements + // innerText usage removed for consistency of new lines (jQuery #11153) + if ( typeof elem.textContent === "string" ) { + return elem.textContent; + } else { + + // Traverse its children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + ret += getText( elem ); + } + } + } else if ( nodeType === 3 || nodeType === 4 ) { + return elem.nodeValue; + } + + // Do not include comment or processing instruction nodes + + return ret; +}; + +Expr = Sizzle.selectors = { + + // Can be adjusted by the user + cacheLength: 50, + + createPseudo: markFunction, + + match: matchExpr, + + attrHandle: {}, + + find: {}, + + relative: { + ">": { dir: "parentNode", first: true }, + " ": { dir: "parentNode" }, + "+": { dir: "previousSibling", first: true }, + "~": { dir: "previousSibling" } + }, + + preFilter: { + "ATTR": function( match ) { + match[ 1 ] = match[ 1 ].replace( runescape, funescape ); + + // Move the given value to match[3] whether quoted or unquoted + match[ 3 ] = ( match[ 3 ] || match[ 4 ] || + match[ 5 ] || "" ).replace( runescape, funescape ); + + if ( match[ 2 ] === "~=" ) { + match[ 3 ] = " " + match[ 3 ] + " "; + } + + return match.slice( 0, 4 ); + }, + + "CHILD": function( match ) { + + /* matches from matchExpr["CHILD"] + 1 type (only|nth|...) + 2 what (child|of-type) + 3 argument (even|odd|\d*|\d*n([+-]\d+)?|...) + 4 xn-component of xn+y argument ([+-]?\d*n|) + 5 sign of xn-component + 6 x of xn-component + 7 sign of y-component + 8 y of y-component + */ + match[ 1 ] = match[ 1 ].toLowerCase(); + + if ( match[ 1 ].slice( 0, 3 ) === "nth" ) { + + // nth-* requires argument + if ( !match[ 3 ] ) { + Sizzle.error( match[ 0 ] ); + } + + // numeric x and y parameters for Expr.filter.CHILD + // remember that false/true cast respectively to 0/1 + match[ 4 ] = +( match[ 4 ] ? + match[ 5 ] + ( match[ 6 ] || 1 ) : + 2 * ( match[ 3 ] === "even" || match[ 3 ] === "odd" ) ); + match[ 5 ] = +( ( match[ 7 ] + match[ 8 ] ) || match[ 3 ] === "odd" ); + + // other types prohibit arguments + } else if ( match[ 3 ] ) { + Sizzle.error( match[ 0 ] ); + } + + return match; + }, + + "PSEUDO": function( match ) { + var excess, + unquoted = !match[ 6 ] && match[ 2 ]; + + if ( matchExpr[ "CHILD" ].test( match[ 0 ] ) ) { + return null; + } + + // Accept quoted arguments as-is + if ( match[ 3 ] ) { + match[ 2 ] = match[ 4 ] || match[ 5 ] || ""; + + // Strip excess characters from unquoted arguments + } else if ( unquoted && rpseudo.test( unquoted ) && + + // Get excess from tokenize (recursively) + ( excess = tokenize( unquoted, true ) ) && + + // advance to the next closing parenthesis + ( excess = unquoted.indexOf( ")", unquoted.length - excess ) - unquoted.length ) ) { + + // excess is a negative index + match[ 0 ] = match[ 0 ].slice( 0, excess ); + match[ 2 ] = unquoted.slice( 0, excess ); + } + + // Return only captures needed by the pseudo filter method (type and argument) + return match.slice( 0, 3 ); + } + }, + + filter: { + + "TAG": function( nodeNameSelector ) { + var nodeName = nodeNameSelector.replace( runescape, funescape ).toLowerCase(); + return nodeNameSelector === "*" ? + function() { + return true; + } : + function( elem ) { + return elem.nodeName && elem.nodeName.toLowerCase() === nodeName; + }; + }, + + "CLASS": function( className ) { + var pattern = classCache[ className + " " ]; + + return pattern || + ( pattern = new RegExp( "(^|" + whitespace + + ")" + className + "(" + whitespace + "|$)" ) ) && classCache( + className, function( elem ) { + return pattern.test( + typeof elem.className === "string" && elem.className || + typeof elem.getAttribute !== "undefined" && + elem.getAttribute( "class" ) || + "" + ); + } ); + }, + + "ATTR": function( name, operator, check ) { + return function( elem ) { + var result = Sizzle.attr( elem, name ); + + if ( result == null ) { + return operator === "!="; + } + if ( !operator ) { + return true; + } + + result += ""; + + /* eslint-disable max-len */ + + return operator === "=" ? result === check : + operator === "!=" ? result !== check : + operator === "^=" ? check && result.indexOf( check ) === 0 : + operator === "*=" ? check && result.indexOf( check ) > -1 : + operator === "$=" ? check && result.slice( -check.length ) === check : + operator === "~=" ? ( " " + result.replace( rwhitespace, " " ) + " " ).indexOf( check ) > -1 : + operator === "|=" ? result === check || result.slice( 0, check.length + 1 ) === check + "-" : + false; + /* eslint-enable max-len */ + + }; + }, + + "CHILD": function( type, what, _argument, first, last ) { + var simple = type.slice( 0, 3 ) !== "nth", + forward = type.slice( -4 ) !== "last", + ofType = what === "of-type"; + + return first === 1 && last === 0 ? + + // Shortcut for :nth-*(n) + function( elem ) { + return !!elem.parentNode; + } : + + function( elem, _context, xml ) { + var cache, uniqueCache, outerCache, node, nodeIndex, start, + dir = simple !== forward ? "nextSibling" : "previousSibling", + parent = elem.parentNode, + name = ofType && elem.nodeName.toLowerCase(), + useCache = !xml && !ofType, + diff = false; + + if ( parent ) { + + // :(first|last|only)-(child|of-type) + if ( simple ) { + while ( dir ) { + node = elem; + while ( ( node = node[ dir ] ) ) { + if ( ofType ? + node.nodeName.toLowerCase() === name : + node.nodeType === 1 ) { + + return false; + } + } + + // Reverse direction for :only-* (if we haven't yet done so) + start = dir = type === "only" && !start && "nextSibling"; + } + return true; + } + + start = [ forward ? parent.firstChild : parent.lastChild ]; + + // non-xml :nth-child(...) stores cache data on `parent` + if ( forward && useCache ) { + + // Seek `elem` from a previously-cached index + + // ...in a gzip-friendly way + node = parent; + outerCache = node[ expando ] || ( node[ expando ] = {} ); + + // Support: IE <9 only + // Defend against cloned attroperties (jQuery gh-1709) + uniqueCache = outerCache[ node.uniqueID ] || + ( outerCache[ node.uniqueID ] = {} ); + + cache = uniqueCache[ type ] || []; + nodeIndex = cache[ 0 ] === dirruns && cache[ 1 ]; + diff = nodeIndex && cache[ 2 ]; + node = nodeIndex && parent.childNodes[ nodeIndex ]; + + while ( ( node = ++nodeIndex && node && node[ dir ] || + + // Fallback to seeking `elem` from the start + ( diff = nodeIndex = 0 ) || start.pop() ) ) { + + // When found, cache indexes on `parent` and break + if ( node.nodeType === 1 && ++diff && node === elem ) { + uniqueCache[ type ] = [ dirruns, nodeIndex, diff ]; + break; + } + } + + } else { + + // Use previously-cached element index if available + if ( useCache ) { + + // ...in a gzip-friendly way + node = elem; + outerCache = node[ expando ] || ( node[ expando ] = {} ); + + // Support: IE <9 only + // Defend against cloned attroperties (jQuery gh-1709) + uniqueCache = outerCache[ node.uniqueID ] || + ( outerCache[ node.uniqueID ] = {} ); + + cache = uniqueCache[ type ] || []; + nodeIndex = cache[ 0 ] === dirruns && cache[ 1 ]; + diff = nodeIndex; + } + + // xml :nth-child(...) + // or :nth-last-child(...) or :nth(-last)?-of-type(...) + if ( diff === false ) { + + // Use the same loop as above to seek `elem` from the start + while ( ( node = ++nodeIndex && node && node[ dir ] || + ( diff = nodeIndex = 0 ) || start.pop() ) ) { + + if ( ( ofType ? + node.nodeName.toLowerCase() === name : + node.nodeType === 1 ) && + ++diff ) { + + // Cache the index of each encountered element + if ( useCache ) { + outerCache = node[ expando ] || + ( node[ expando ] = {} ); + + // Support: IE <9 only + // Defend against cloned attroperties (jQuery gh-1709) + uniqueCache = outerCache[ node.uniqueID ] || + ( outerCache[ node.uniqueID ] = {} ); + + uniqueCache[ type ] = [ dirruns, diff ]; + } + + if ( node === elem ) { + break; + } + } + } + } + } + + // Incorporate the offset, then check against cycle size + diff -= last; + return diff === first || ( diff % first === 0 && diff / first >= 0 ); + } + }; + }, + + "PSEUDO": function( pseudo, argument ) { + + // pseudo-class names are case-insensitive + // http://www.w3.org/TR/selectors/#pseudo-classes + // Prioritize by case sensitivity in case custom pseudos are added with uppercase letters + // Remember that setFilters inherits from pseudos + var args, + fn = Expr.pseudos[ pseudo ] || Expr.setFilters[ pseudo.toLowerCase() ] || + Sizzle.error( "unsupported pseudo: " + pseudo ); + + // The user may use createPseudo to indicate that + // arguments are needed to create the filter function + // just as Sizzle does + if ( fn[ expando ] ) { + return fn( argument ); + } + + // But maintain support for old signatures + if ( fn.length > 1 ) { + args = [ pseudo, pseudo, "", argument ]; + return Expr.setFilters.hasOwnProperty( pseudo.toLowerCase() ) ? + markFunction( function( seed, matches ) { + var idx, + matched = fn( seed, argument ), + i = matched.length; + while ( i-- ) { + idx = indexOf( seed, matched[ i ] ); + seed[ idx ] = !( matches[ idx ] = matched[ i ] ); + } + } ) : + function( elem ) { + return fn( elem, 0, args ); + }; + } + + return fn; + } + }, + + pseudos: { + + // Potentially complex pseudos + "not": markFunction( function( selector ) { + + // Trim the selector passed to compile + // to avoid treating leading and trailing + // spaces as combinators + var input = [], + results = [], + matcher = compile( selector.replace( rtrim, "$1" ) ); + + return matcher[ expando ] ? + markFunction( function( seed, matches, _context, xml ) { + var elem, + unmatched = matcher( seed, null, xml, [] ), + i = seed.length; + + // Match elements unmatched by `matcher` + while ( i-- ) { + if ( ( elem = unmatched[ i ] ) ) { + seed[ i ] = !( matches[ i ] = elem ); + } + } + } ) : + function( elem, _context, xml ) { + input[ 0 ] = elem; + matcher( input, null, xml, results ); + + // Don't keep the element (issue #299) + input[ 0 ] = null; + return !results.pop(); + }; + } ), + + "has": markFunction( function( selector ) { + return function( elem ) { + return Sizzle( selector, elem ).length > 0; + }; + } ), + + "contains": markFunction( function( text ) { + text = text.replace( runescape, funescape ); + return function( elem ) { + return ( elem.textContent || getText( elem ) ).indexOf( text ) > -1; + }; + } ), + + // "Whether an element is represented by a :lang() selector + // is based solely on the element's language value + // being equal to the identifier C, + // or beginning with the identifier C immediately followed by "-". + // The matching of C against the element's language value is performed case-insensitively. + // The identifier C does not have to be a valid language name." + // http://www.w3.org/TR/selectors/#lang-pseudo + "lang": markFunction( function( lang ) { + + // lang value must be a valid identifier + if ( !ridentifier.test( lang || "" ) ) { + Sizzle.error( "unsupported lang: " + lang ); + } + lang = lang.replace( runescape, funescape ).toLowerCase(); + return function( elem ) { + var elemLang; + do { + if ( ( elemLang = documentIsHTML ? + elem.lang : + elem.getAttribute( "xml:lang" ) || elem.getAttribute( "lang" ) ) ) { + + elemLang = elemLang.toLowerCase(); + return elemLang === lang || elemLang.indexOf( lang + "-" ) === 0; + } + } while ( ( elem = elem.parentNode ) && elem.nodeType === 1 ); + return false; + }; + } ), + + // Miscellaneous + "target": function( elem ) { + var hash = window.location && window.location.hash; + return hash && hash.slice( 1 ) === elem.id; + }, + + "root": function( elem ) { + return elem === docElem; + }, + + "focus": function( elem ) { + return elem === document.activeElement && + ( !document.hasFocus || document.hasFocus() ) && + !!( elem.type || elem.href || ~elem.tabIndex ); + }, + + // Boolean properties + "enabled": createDisabledPseudo( false ), + "disabled": createDisabledPseudo( true ), + + "checked": function( elem ) { + + // In CSS3, :checked should return both checked and selected elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + var nodeName = elem.nodeName.toLowerCase(); + return ( nodeName === "input" && !!elem.checked ) || + ( nodeName === "option" && !!elem.selected ); + }, + + "selected": function( elem ) { + + // Accessing this property makes selected-by-default + // options in Safari work properly + if ( elem.parentNode ) { + // eslint-disable-next-line no-unused-expressions + elem.parentNode.selectedIndex; + } + + return elem.selected === true; + }, + + // Contents + "empty": function( elem ) { + + // http://www.w3.org/TR/selectors/#empty-pseudo + // :empty is negated by element (1) or content nodes (text: 3; cdata: 4; entity ref: 5), + // but not by others (comment: 8; processing instruction: 7; etc.) + // nodeType < 6 works because attributes (2) do not appear as children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + if ( elem.nodeType < 6 ) { + return false; + } + } + return true; + }, + + "parent": function( elem ) { + return !Expr.pseudos[ "empty" ]( elem ); + }, + + // Element/input types + "header": function( elem ) { + return rheader.test( elem.nodeName ); + }, + + "input": function( elem ) { + return rinputs.test( elem.nodeName ); + }, + + "button": function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === "button" || name === "button"; + }, + + "text": function( elem ) { + var attr; + return elem.nodeName.toLowerCase() === "input" && + elem.type === "text" && + + // Support: IE<8 + // New HTML5 attribute values (e.g., "search") appear with elem.type === "text" + ( ( attr = elem.getAttribute( "type" ) ) == null || + attr.toLowerCase() === "text" ); + }, + + // Position-in-collection + "first": createPositionalPseudo( function() { + return [ 0 ]; + } ), + + "last": createPositionalPseudo( function( _matchIndexes, length ) { + return [ length - 1 ]; + } ), + + "eq": createPositionalPseudo( function( _matchIndexes, length, argument ) { + return [ argument < 0 ? argument + length : argument ]; + } ), + + "even": createPositionalPseudo( function( matchIndexes, length ) { + var i = 0; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + } ), + + "odd": createPositionalPseudo( function( matchIndexes, length ) { + var i = 1; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + } ), + + "lt": createPositionalPseudo( function( matchIndexes, length, argument ) { + var i = argument < 0 ? + argument + length : + argument > length ? + length : + argument; + for ( ; --i >= 0; ) { + matchIndexes.push( i ); + } + return matchIndexes; + } ), + + "gt": createPositionalPseudo( function( matchIndexes, length, argument ) { + var i = argument < 0 ? argument + length : argument; + for ( ; ++i < length; ) { + matchIndexes.push( i ); + } + return matchIndexes; + } ) + } +}; + +Expr.pseudos[ "nth" ] = Expr.pseudos[ "eq" ]; + +// Add button/input type pseudos +for ( i in { radio: true, checkbox: true, file: true, password: true, image: true } ) { + Expr.pseudos[ i ] = createInputPseudo( i ); +} +for ( i in { submit: true, reset: true } ) { + Expr.pseudos[ i ] = createButtonPseudo( i ); +} + +// Easy API for creating new setFilters +function setFilters() {} +setFilters.prototype = Expr.filters = Expr.pseudos; +Expr.setFilters = new setFilters(); + +tokenize = Sizzle.tokenize = function( selector, parseOnly ) { + var matched, match, tokens, type, + soFar, groups, preFilters, + cached = tokenCache[ selector + " " ]; + + if ( cached ) { + return parseOnly ? 0 : cached.slice( 0 ); + } + + soFar = selector; + groups = []; + preFilters = Expr.preFilter; + + while ( soFar ) { + + // Comma and first run + if ( !matched || ( match = rcomma.exec( soFar ) ) ) { + if ( match ) { + + // Don't consume trailing commas as valid + soFar = soFar.slice( match[ 0 ].length ) || soFar; + } + groups.push( ( tokens = [] ) ); + } + + matched = false; + + // Combinators + if ( ( match = rcombinators.exec( soFar ) ) ) { + matched = match.shift(); + tokens.push( { + value: matched, + + // Cast descendant combinators to space + type: match[ 0 ].replace( rtrim, " " ) + } ); + soFar = soFar.slice( matched.length ); + } + + // Filters + for ( type in Expr.filter ) { + if ( ( match = matchExpr[ type ].exec( soFar ) ) && ( !preFilters[ type ] || + ( match = preFilters[ type ]( match ) ) ) ) { + matched = match.shift(); + tokens.push( { + value: matched, + type: type, + matches: match + } ); + soFar = soFar.slice( matched.length ); + } + } + + if ( !matched ) { + break; + } + } + + // Return the length of the invalid excess + // if we're just parsing + // Otherwise, throw an error or return tokens + return parseOnly ? + soFar.length : + soFar ? + Sizzle.error( selector ) : + + // Cache the tokens + tokenCache( selector, groups ).slice( 0 ); +}; + +function toSelector( tokens ) { + var i = 0, + len = tokens.length, + selector = ""; + for ( ; i < len; i++ ) { + selector += tokens[ i ].value; + } + return selector; +} + +function addCombinator( matcher, combinator, base ) { + var dir = combinator.dir, + skip = combinator.next, + key = skip || dir, + checkNonElements = base && key === "parentNode", + doneName = done++; + + return combinator.first ? + + // Check against closest ancestor/preceding element + function( elem, context, xml ) { + while ( ( elem = elem[ dir ] ) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + return matcher( elem, context, xml ); + } + } + return false; + } : + + // Check against all ancestor/preceding elements + function( elem, context, xml ) { + var oldCache, uniqueCache, outerCache, + newCache = [ dirruns, doneName ]; + + // We can't set arbitrary data on XML nodes, so they don't benefit from combinator caching + if ( xml ) { + while ( ( elem = elem[ dir ] ) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + if ( matcher( elem, context, xml ) ) { + return true; + } + } + } + } else { + while ( ( elem = elem[ dir ] ) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + outerCache = elem[ expando ] || ( elem[ expando ] = {} ); + + // Support: IE <9 only + // Defend against cloned attroperties (jQuery gh-1709) + uniqueCache = outerCache[ elem.uniqueID ] || + ( outerCache[ elem.uniqueID ] = {} ); + + if ( skip && skip === elem.nodeName.toLowerCase() ) { + elem = elem[ dir ] || elem; + } else if ( ( oldCache = uniqueCache[ key ] ) && + oldCache[ 0 ] === dirruns && oldCache[ 1 ] === doneName ) { + + // Assign to newCache so results back-propagate to previous elements + return ( newCache[ 2 ] = oldCache[ 2 ] ); + } else { + + // Reuse newcache so results back-propagate to previous elements + uniqueCache[ key ] = newCache; + + // A match means we're done; a fail means we have to keep checking + if ( ( newCache[ 2 ] = matcher( elem, context, xml ) ) ) { + return true; + } + } + } + } + } + return false; + }; +} + +function elementMatcher( matchers ) { + return matchers.length > 1 ? + function( elem, context, xml ) { + var i = matchers.length; + while ( i-- ) { + if ( !matchers[ i ]( elem, context, xml ) ) { + return false; + } + } + return true; + } : + matchers[ 0 ]; +} + +function multipleContexts( selector, contexts, results ) { + var i = 0, + len = contexts.length; + for ( ; i < len; i++ ) { + Sizzle( selector, contexts[ i ], results ); + } + return results; +} + +function condense( unmatched, map, filter, context, xml ) { + var elem, + newUnmatched = [], + i = 0, + len = unmatched.length, + mapped = map != null; + + for ( ; i < len; i++ ) { + if ( ( elem = unmatched[ i ] ) ) { + if ( !filter || filter( elem, context, xml ) ) { + newUnmatched.push( elem ); + if ( mapped ) { + map.push( i ); + } + } + } + } + + return newUnmatched; +} + +function setMatcher( preFilter, selector, matcher, postFilter, postFinder, postSelector ) { + if ( postFilter && !postFilter[ expando ] ) { + postFilter = setMatcher( postFilter ); + } + if ( postFinder && !postFinder[ expando ] ) { + postFinder = setMatcher( postFinder, postSelector ); + } + return markFunction( function( seed, results, context, xml ) { + var temp, i, elem, + preMap = [], + postMap = [], + preexisting = results.length, + + // Get initial elements from seed or context + elems = seed || multipleContexts( + selector || "*", + context.nodeType ? [ context ] : context, + [] + ), + + // Prefilter to get matcher input, preserving a map for seed-results synchronization + matcherIn = preFilter && ( seed || !selector ) ? + condense( elems, preMap, preFilter, context, xml ) : + elems, + + matcherOut = matcher ? + + // If we have a postFinder, or filtered seed, or non-seed postFilter or preexisting results, + postFinder || ( seed ? preFilter : preexisting || postFilter ) ? + + // ...intermediate processing is necessary + [] : + + // ...otherwise use results directly + results : + matcherIn; + + // Find primary matches + if ( matcher ) { + matcher( matcherIn, matcherOut, context, xml ); + } + + // Apply postFilter + if ( postFilter ) { + temp = condense( matcherOut, postMap ); + postFilter( temp, [], context, xml ); + + // Un-match failing elements by moving them back to matcherIn + i = temp.length; + while ( i-- ) { + if ( ( elem = temp[ i ] ) ) { + matcherOut[ postMap[ i ] ] = !( matcherIn[ postMap[ i ] ] = elem ); + } + } + } + + if ( seed ) { + if ( postFinder || preFilter ) { + if ( postFinder ) { + + // Get the final matcherOut by condensing this intermediate into postFinder contexts + temp = []; + i = matcherOut.length; + while ( i-- ) { + if ( ( elem = matcherOut[ i ] ) ) { + + // Restore matcherIn since elem is not yet a final match + temp.push( ( matcherIn[ i ] = elem ) ); + } + } + postFinder( null, ( matcherOut = [] ), temp, xml ); + } + + // Move matched elements from seed to results to keep them synchronized + i = matcherOut.length; + while ( i-- ) { + if ( ( elem = matcherOut[ i ] ) && + ( temp = postFinder ? indexOf( seed, elem ) : preMap[ i ] ) > -1 ) { + + seed[ temp ] = !( results[ temp ] = elem ); + } + } + } + + // Add elements to results, through postFinder if defined + } else { + matcherOut = condense( + matcherOut === results ? + matcherOut.splice( preexisting, matcherOut.length ) : + matcherOut + ); + if ( postFinder ) { + postFinder( null, results, matcherOut, xml ); + } else { + push.apply( results, matcherOut ); + } + } + } ); +} + +function matcherFromTokens( tokens ) { + var checkContext, matcher, j, + len = tokens.length, + leadingRelative = Expr.relative[ tokens[ 0 ].type ], + implicitRelative = leadingRelative || Expr.relative[ " " ], + i = leadingRelative ? 1 : 0, + + // The foundational matcher ensures that elements are reachable from top-level context(s) + matchContext = addCombinator( function( elem ) { + return elem === checkContext; + }, implicitRelative, true ), + matchAnyContext = addCombinator( function( elem ) { + return indexOf( checkContext, elem ) > -1; + }, implicitRelative, true ), + matchers = [ function( elem, context, xml ) { + var ret = ( !leadingRelative && ( xml || context !== outermostContext ) ) || ( + ( checkContext = context ).nodeType ? + matchContext( elem, context, xml ) : + matchAnyContext( elem, context, xml ) ); + + // Avoid hanging onto element (issue #299) + checkContext = null; + return ret; + } ]; + + for ( ; i < len; i++ ) { + if ( ( matcher = Expr.relative[ tokens[ i ].type ] ) ) { + matchers = [ addCombinator( elementMatcher( matchers ), matcher ) ]; + } else { + matcher = Expr.filter[ tokens[ i ].type ].apply( null, tokens[ i ].matches ); + + // Return special upon seeing a positional matcher + if ( matcher[ expando ] ) { + + // Find the next relative operator (if any) for proper handling + j = ++i; + for ( ; j < len; j++ ) { + if ( Expr.relative[ tokens[ j ].type ] ) { + break; + } + } + return setMatcher( + i > 1 && elementMatcher( matchers ), + i > 1 && toSelector( + + // If the preceding token was a descendant combinator, insert an implicit any-element `*` + tokens + .slice( 0, i - 1 ) + .concat( { value: tokens[ i - 2 ].type === " " ? "*" : "" } ) + ).replace( rtrim, "$1" ), + matcher, + i < j && matcherFromTokens( tokens.slice( i, j ) ), + j < len && matcherFromTokens( ( tokens = tokens.slice( j ) ) ), + j < len && toSelector( tokens ) + ); + } + matchers.push( matcher ); + } + } + + return elementMatcher( matchers ); +} + +function matcherFromGroupMatchers( elementMatchers, setMatchers ) { + var bySet = setMatchers.length > 0, + byElement = elementMatchers.length > 0, + superMatcher = function( seed, context, xml, results, outermost ) { + var elem, j, matcher, + matchedCount = 0, + i = "0", + unmatched = seed && [], + setMatched = [], + contextBackup = outermostContext, + + // We must always have either seed elements or outermost context + elems = seed || byElement && Expr.find[ "TAG" ]( "*", outermost ), + + // Use integer dirruns iff this is the outermost matcher + dirrunsUnique = ( dirruns += contextBackup == null ? 1 : Math.random() || 0.1 ), + len = elems.length; + + if ( outermost ) { + + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + outermostContext = context == document || context || outermost; + } + + // Add elements passing elementMatchers directly to results + // Support: IE<9, Safari + // Tolerate NodeList properties (IE: "length"; Safari: ) matching elements by id + for ( ; i !== len && ( elem = elems[ i ] ) != null; i++ ) { + if ( byElement && elem ) { + j = 0; + + // Support: IE 11+, Edge 17 - 18+ + // IE/Edge sometimes throw a "Permission denied" error when strict-comparing + // two documents; shallow comparisons work. + // eslint-disable-next-line eqeqeq + if ( !context && elem.ownerDocument != document ) { + setDocument( elem ); + xml = !documentIsHTML; + } + while ( ( matcher = elementMatchers[ j++ ] ) ) { + if ( matcher( elem, context || document, xml ) ) { + results.push( elem ); + break; + } + } + if ( outermost ) { + dirruns = dirrunsUnique; + } + } + + // Track unmatched elements for set filters + if ( bySet ) { + + // They will have gone through all possible matchers + if ( ( elem = !matcher && elem ) ) { + matchedCount--; + } + + // Lengthen the array for every element, matched or not + if ( seed ) { + unmatched.push( elem ); + } + } + } + + // `i` is now the count of elements visited above, and adding it to `matchedCount` + // makes the latter nonnegative. + matchedCount += i; + + // Apply set filters to unmatched elements + // NOTE: This can be skipped if there are no unmatched elements (i.e., `matchedCount` + // equals `i`), unless we didn't visit _any_ elements in the above loop because we have + // no element matchers and no seed. + // Incrementing an initially-string "0" `i` allows `i` to remain a string only in that + // case, which will result in a "00" `matchedCount` that differs from `i` but is also + // numerically zero. + if ( bySet && i !== matchedCount ) { + j = 0; + while ( ( matcher = setMatchers[ j++ ] ) ) { + matcher( unmatched, setMatched, context, xml ); + } + + if ( seed ) { + + // Reintegrate element matches to eliminate the need for sorting + if ( matchedCount > 0 ) { + while ( i-- ) { + if ( !( unmatched[ i ] || setMatched[ i ] ) ) { + setMatched[ i ] = pop.call( results ); + } + } + } + + // Discard index placeholder values to get only actual matches + setMatched = condense( setMatched ); + } + + // Add matches to results + push.apply( results, setMatched ); + + // Seedless set matches succeeding multiple successful matchers stipulate sorting + if ( outermost && !seed && setMatched.length > 0 && + ( matchedCount + setMatchers.length ) > 1 ) { + + Sizzle.uniqueSort( results ); + } + } + + // Override manipulation of globals by nested matchers + if ( outermost ) { + dirruns = dirrunsUnique; + outermostContext = contextBackup; + } + + return unmatched; + }; + + return bySet ? + markFunction( superMatcher ) : + superMatcher; +} + +compile = Sizzle.compile = function( selector, match /* Internal Use Only */ ) { + var i, + setMatchers = [], + elementMatchers = [], + cached = compilerCache[ selector + " " ]; + + if ( !cached ) { + + // Generate a function of recursive functions that can be used to check each element + if ( !match ) { + match = tokenize( selector ); + } + i = match.length; + while ( i-- ) { + cached = matcherFromTokens( match[ i ] ); + if ( cached[ expando ] ) { + setMatchers.push( cached ); + } else { + elementMatchers.push( cached ); + } + } + + // Cache the compiled function + cached = compilerCache( + selector, + matcherFromGroupMatchers( elementMatchers, setMatchers ) + ); + + // Save selector and tokenization + cached.selector = selector; + } + return cached; +}; + +/** + * A low-level selection function that works with Sizzle's compiled + * selector functions + * @param {String|Function} selector A selector or a pre-compiled + * selector function built with Sizzle.compile + * @param {Element} context + * @param {Array} [results] + * @param {Array} [seed] A set of elements to match against + */ +select = Sizzle.select = function( selector, context, results, seed ) { + var i, tokens, token, type, find, + compiled = typeof selector === "function" && selector, + match = !seed && tokenize( ( selector = compiled.selector || selector ) ); + + results = results || []; + + // Try to minimize operations if there is only one selector in the list and no seed + // (the latter of which guarantees us context) + if ( match.length === 1 ) { + + // Reduce context if the leading compound selector is an ID + tokens = match[ 0 ] = match[ 0 ].slice( 0 ); + if ( tokens.length > 2 && ( token = tokens[ 0 ] ).type === "ID" && + context.nodeType === 9 && documentIsHTML && Expr.relative[ tokens[ 1 ].type ] ) { + + context = ( Expr.find[ "ID" ]( token.matches[ 0 ] + .replace( runescape, funescape ), context ) || [] )[ 0 ]; + if ( !context ) { + return results; + + // Precompiled matchers will still verify ancestry, so step up a level + } else if ( compiled ) { + context = context.parentNode; + } + + selector = selector.slice( tokens.shift().value.length ); + } + + // Fetch a seed set for right-to-left matching + i = matchExpr[ "needsContext" ].test( selector ) ? 0 : tokens.length; + while ( i-- ) { + token = tokens[ i ]; + + // Abort if we hit a combinator + if ( Expr.relative[ ( type = token.type ) ] ) { + break; + } + if ( ( find = Expr.find[ type ] ) ) { + + // Search, expanding context for leading sibling combinators + if ( ( seed = find( + token.matches[ 0 ].replace( runescape, funescape ), + rsibling.test( tokens[ 0 ].type ) && testContext( context.parentNode ) || + context + ) ) ) { + + // If seed is empty or no tokens remain, we can return early + tokens.splice( i, 1 ); + selector = seed.length && toSelector( tokens ); + if ( !selector ) { + push.apply( results, seed ); + return results; + } + + break; + } + } + } + } + + // Compile and execute a filtering function if one is not provided + // Provide `match` to avoid retokenization if we modified the selector above + ( compiled || compile( selector, match ) )( + seed, + context, + !documentIsHTML, + results, + !context || rsibling.test( selector ) && testContext( context.parentNode ) || context + ); + return results; +}; + +// One-time assignments + +// Sort stability +support.sortStable = expando.split( "" ).sort( sortOrder ).join( "" ) === expando; + +// Support: Chrome 14-35+ +// Always assume duplicates if they aren't passed to the comparison function +support.detectDuplicates = !!hasDuplicate; + +// Initialize against the default document +setDocument(); + +// Support: Webkit<537.32 - Safari 6.0.3/Chrome 25 (fixed in Chrome 27) +// Detached nodes confoundingly follow *each other* +support.sortDetached = assert( function( el ) { + + // Should return 1, but returns 4 (following) + return el.compareDocumentPosition( document.createElement( "fieldset" ) ) & 1; +} ); + +// Support: IE<8 +// Prevent attribute/property "interpolation" +// https://msdn.microsoft.com/en-us/library/ms536429%28VS.85%29.aspx +if ( !assert( function( el ) { + el.innerHTML = ""; + return el.firstChild.getAttribute( "href" ) === "#"; +} ) ) { + addHandle( "type|href|height|width", function( elem, name, isXML ) { + if ( !isXML ) { + return elem.getAttribute( name, name.toLowerCase() === "type" ? 1 : 2 ); + } + } ); +} + +// Support: IE<9 +// Use defaultValue in place of getAttribute("value") +if ( !support.attributes || !assert( function( el ) { + el.innerHTML = ""; + el.firstChild.setAttribute( "value", "" ); + return el.firstChild.getAttribute( "value" ) === ""; +} ) ) { + addHandle( "value", function( elem, _name, isXML ) { + if ( !isXML && elem.nodeName.toLowerCase() === "input" ) { + return elem.defaultValue; + } + } ); +} + +// Support: IE<9 +// Use getAttributeNode to fetch booleans when getAttribute lies +if ( !assert( function( el ) { + return el.getAttribute( "disabled" ) == null; +} ) ) { + addHandle( booleans, function( elem, name, isXML ) { + var val; + if ( !isXML ) { + return elem[ name ] === true ? name.toLowerCase() : + ( val = elem.getAttributeNode( name ) ) && val.specified ? + val.value : + null; + } + } ); +} + +return Sizzle; + +} )( window ); + + + +jQuery.find = Sizzle; +jQuery.expr = Sizzle.selectors; + +// Deprecated +jQuery.expr[ ":" ] = jQuery.expr.pseudos; +jQuery.uniqueSort = jQuery.unique = Sizzle.uniqueSort; +jQuery.text = Sizzle.getText; +jQuery.isXMLDoc = Sizzle.isXML; +jQuery.contains = Sizzle.contains; +jQuery.escapeSelector = Sizzle.escape; + + + + +var dir = function( elem, dir, until ) { + var matched = [], + truncate = until !== undefined; + + while ( ( elem = elem[ dir ] ) && elem.nodeType !== 9 ) { + if ( elem.nodeType === 1 ) { + if ( truncate && jQuery( elem ).is( until ) ) { + break; + } + matched.push( elem ); + } + } + return matched; +}; + + +var siblings = function( n, elem ) { + var matched = []; + + for ( ; n; n = n.nextSibling ) { + if ( n.nodeType === 1 && n !== elem ) { + matched.push( n ); + } + } + + return matched; +}; + + +var rneedsContext = jQuery.expr.match.needsContext; + + + +function nodeName( elem, name ) { + + return elem.nodeName && elem.nodeName.toLowerCase() === name.toLowerCase(); + +} +var rsingleTag = ( /^<([a-z][^\/\0>:\x20\t\r\n\f]*)[\x20\t\r\n\f]*\/?>(?:<\/\1>|)$/i ); + + + +// Implement the identical functionality for filter and not +function winnow( elements, qualifier, not ) { + if ( isFunction( qualifier ) ) { + return jQuery.grep( elements, function( elem, i ) { + return !!qualifier.call( elem, i, elem ) !== not; + } ); + } + + // Single element + if ( qualifier.nodeType ) { + return jQuery.grep( elements, function( elem ) { + return ( elem === qualifier ) !== not; + } ); + } + + // Arraylike of elements (jQuery, arguments, Array) + if ( typeof qualifier !== "string" ) { + return jQuery.grep( elements, function( elem ) { + return ( indexOf.call( qualifier, elem ) > -1 ) !== not; + } ); + } + + // Filtered directly for both simple and complex selectors + return jQuery.filter( qualifier, elements, not ); +} + +jQuery.filter = function( expr, elems, not ) { + var elem = elems[ 0 ]; + + if ( not ) { + expr = ":not(" + expr + ")"; + } + + if ( elems.length === 1 && elem.nodeType === 1 ) { + return jQuery.find.matchesSelector( elem, expr ) ? [ elem ] : []; + } + + return jQuery.find.matches( expr, jQuery.grep( elems, function( elem ) { + return elem.nodeType === 1; + } ) ); +}; + +jQuery.fn.extend( { + find: function( selector ) { + var i, ret, + len = this.length, + self = this; + + if ( typeof selector !== "string" ) { + return this.pushStack( jQuery( selector ).filter( function() { + for ( i = 0; i < len; i++ ) { + if ( jQuery.contains( self[ i ], this ) ) { + return true; + } + } + } ) ); + } + + ret = this.pushStack( [] ); + + for ( i = 0; i < len; i++ ) { + jQuery.find( selector, self[ i ], ret ); + } + + return len > 1 ? jQuery.uniqueSort( ret ) : ret; + }, + filter: function( selector ) { + return this.pushStack( winnow( this, selector || [], false ) ); + }, + not: function( selector ) { + return this.pushStack( winnow( this, selector || [], true ) ); + }, + is: function( selector ) { + return !!winnow( + this, + + // If this is a positional/relative selector, check membership in the returned set + // so $("p:first").is("p:last") won't return true for a doc with two "p". + typeof selector === "string" && rneedsContext.test( selector ) ? + jQuery( selector ) : + selector || [], + false + ).length; + } +} ); + + +// Initialize a jQuery object + + +// A central reference to the root jQuery(document) +var rootjQuery, + + // A simple way to check for HTML strings + // Prioritize #id over to avoid XSS via location.hash (#9521) + // Strict HTML recognition (#11290: must start with <) + // Shortcut simple #id case for speed + rquickExpr = /^(?:\s*(<[\w\W]+>)[^>]*|#([\w-]+))$/, + + init = jQuery.fn.init = function( selector, context, root ) { + var match, elem; + + // HANDLE: $(""), $(null), $(undefined), $(false) + if ( !selector ) { + return this; + } + + // Method init() accepts an alternate rootjQuery + // so migrate can support jQuery.sub (gh-2101) + root = root || rootjQuery; + + // Handle HTML strings + if ( typeof selector === "string" ) { + if ( selector[ 0 ] === "<" && + selector[ selector.length - 1 ] === ">" && + selector.length >= 3 ) { + + // Assume that strings that start and end with <> are HTML and skip the regex check + match = [ null, selector, null ]; + + } else { + match = rquickExpr.exec( selector ); + } + + // Match html or make sure no context is specified for #id + if ( match && ( match[ 1 ] || !context ) ) { + + // HANDLE: $(html) -> $(array) + if ( match[ 1 ] ) { + context = context instanceof jQuery ? context[ 0 ] : context; + + // Option to run scripts is true for back-compat + // Intentionally let the error be thrown if parseHTML is not present + jQuery.merge( this, jQuery.parseHTML( + match[ 1 ], + context && context.nodeType ? context.ownerDocument || context : document, + true + ) ); + + // HANDLE: $(html, props) + if ( rsingleTag.test( match[ 1 ] ) && jQuery.isPlainObject( context ) ) { + for ( match in context ) { + + // Properties of context are called as methods if possible + if ( isFunction( this[ match ] ) ) { + this[ match ]( context[ match ] ); + + // ...and otherwise set as attributes + } else { + this.attr( match, context[ match ] ); + } + } + } + + return this; + + // HANDLE: $(#id) + } else { + elem = document.getElementById( match[ 2 ] ); + + if ( elem ) { + + // Inject the element directly into the jQuery object + this[ 0 ] = elem; + this.length = 1; + } + return this; + } + + // HANDLE: $(expr, $(...)) + } else if ( !context || context.jquery ) { + return ( context || root ).find( selector ); + + // HANDLE: $(expr, context) + // (which is just equivalent to: $(context).find(expr) + } else { + return this.constructor( context ).find( selector ); + } + + // HANDLE: $(DOMElement) + } else if ( selector.nodeType ) { + this[ 0 ] = selector; + this.length = 1; + return this; + + // HANDLE: $(function) + // Shortcut for document ready + } else if ( isFunction( selector ) ) { + return root.ready !== undefined ? + root.ready( selector ) : + + // Execute immediately if ready is not present + selector( jQuery ); + } + + return jQuery.makeArray( selector, this ); + }; + +// Give the init function the jQuery prototype for later instantiation +init.prototype = jQuery.fn; + +// Initialize central reference +rootjQuery = jQuery( document ); + + +var rparentsprev = /^(?:parents|prev(?:Until|All))/, + + // Methods guaranteed to produce a unique set when starting from a unique set + guaranteedUnique = { + children: true, + contents: true, + next: true, + prev: true + }; + +jQuery.fn.extend( { + has: function( target ) { + var targets = jQuery( target, this ), + l = targets.length; + + return this.filter( function() { + var i = 0; + for ( ; i < l; i++ ) { + if ( jQuery.contains( this, targets[ i ] ) ) { + return true; + } + } + } ); + }, + + closest: function( selectors, context ) { + var cur, + i = 0, + l = this.length, + matched = [], + targets = typeof selectors !== "string" && jQuery( selectors ); + + // Positional selectors never match, since there's no _selection_ context + if ( !rneedsContext.test( selectors ) ) { + for ( ; i < l; i++ ) { + for ( cur = this[ i ]; cur && cur !== context; cur = cur.parentNode ) { + + // Always skip document fragments + if ( cur.nodeType < 11 && ( targets ? + targets.index( cur ) > -1 : + + // Don't pass non-elements to Sizzle + cur.nodeType === 1 && + jQuery.find.matchesSelector( cur, selectors ) ) ) { + + matched.push( cur ); + break; + } + } + } + } + + return this.pushStack( matched.length > 1 ? jQuery.uniqueSort( matched ) : matched ); + }, + + // Determine the position of an element within the set + index: function( elem ) { + + // No argument, return index in parent + if ( !elem ) { + return ( this[ 0 ] && this[ 0 ].parentNode ) ? this.first().prevAll().length : -1; + } + + // Index in selector + if ( typeof elem === "string" ) { + return indexOf.call( jQuery( elem ), this[ 0 ] ); + } + + // Locate the position of the desired element + return indexOf.call( this, + + // If it receives a jQuery object, the first element is used + elem.jquery ? elem[ 0 ] : elem + ); + }, + + add: function( selector, context ) { + return this.pushStack( + jQuery.uniqueSort( + jQuery.merge( this.get(), jQuery( selector, context ) ) + ) + ); + }, + + addBack: function( selector ) { + return this.add( selector == null ? + this.prevObject : this.prevObject.filter( selector ) + ); + } +} ); + +function sibling( cur, dir ) { + while ( ( cur = cur[ dir ] ) && cur.nodeType !== 1 ) {} + return cur; +} + +jQuery.each( { + parent: function( elem ) { + var parent = elem.parentNode; + return parent && parent.nodeType !== 11 ? parent : null; + }, + parents: function( elem ) { + return dir( elem, "parentNode" ); + }, + parentsUntil: function( elem, _i, until ) { + return dir( elem, "parentNode", until ); + }, + next: function( elem ) { + return sibling( elem, "nextSibling" ); + }, + prev: function( elem ) { + return sibling( elem, "previousSibling" ); + }, + nextAll: function( elem ) { + return dir( elem, "nextSibling" ); + }, + prevAll: function( elem ) { + return dir( elem, "previousSibling" ); + }, + nextUntil: function( elem, _i, until ) { + return dir( elem, "nextSibling", until ); + }, + prevUntil: function( elem, _i, until ) { + return dir( elem, "previousSibling", until ); + }, + siblings: function( elem ) { + return siblings( ( elem.parentNode || {} ).firstChild, elem ); + }, + children: function( elem ) { + return siblings( elem.firstChild ); + }, + contents: function( elem ) { + if ( elem.contentDocument != null && + + // Support: IE 11+ + // elements with no `data` attribute has an object + // `contentDocument` with a `null` prototype. + getProto( elem.contentDocument ) ) { + + return elem.contentDocument; + } + + // Support: IE 9 - 11 only, iOS 7 only, Android Browser <=4.3 only + // Treat the template element as a regular one in browsers that + // don't support it. + if ( nodeName( elem, "template" ) ) { + elem = elem.content || elem; + } + + return jQuery.merge( [], elem.childNodes ); + } +}, function( name, fn ) { + jQuery.fn[ name ] = function( until, selector ) { + var matched = jQuery.map( this, fn, until ); + + if ( name.slice( -5 ) !== "Until" ) { + selector = until; + } + + if ( selector && typeof selector === "string" ) { + matched = jQuery.filter( selector, matched ); + } + + if ( this.length > 1 ) { + + // Remove duplicates + if ( !guaranteedUnique[ name ] ) { + jQuery.uniqueSort( matched ); + } + + // Reverse order for parents* and prev-derivatives + if ( rparentsprev.test( name ) ) { + matched.reverse(); + } + } + + return this.pushStack( matched ); + }; +} ); +var rnothtmlwhite = ( /[^\x20\t\r\n\f]+/g ); + + + +// Convert String-formatted options into Object-formatted ones +function createOptions( options ) { + var object = {}; + jQuery.each( options.match( rnothtmlwhite ) || [], function( _, flag ) { + object[ flag ] = true; + } ); + return object; +} + +/* + * Create a callback list using the following parameters: + * + * options: an optional list of space-separated options that will change how + * the callback list behaves or a more traditional option object + * + * By default a callback list will act like an event callback list and can be + * "fired" multiple times. + * + * Possible options: + * + * once: will ensure the callback list can only be fired once (like a Deferred) + * + * memory: will keep track of previous values and will call any callback added + * after the list has been fired right away with the latest "memorized" + * values (like a Deferred) + * + * unique: will ensure a callback can only be added once (no duplicate in the list) + * + * stopOnFalse: interrupt callings when a callback returns false + * + */ +jQuery.Callbacks = function( options ) { + + // Convert options from String-formatted to Object-formatted if needed + // (we check in cache first) + options = typeof options === "string" ? + createOptions( options ) : + jQuery.extend( {}, options ); + + var // Flag to know if list is currently firing + firing, + + // Last fire value for non-forgettable lists + memory, + + // Flag to know if list was already fired + fired, + + // Flag to prevent firing + locked, + + // Actual callback list + list = [], + + // Queue of execution data for repeatable lists + queue = [], + + // Index of currently firing callback (modified by add/remove as needed) + firingIndex = -1, + + // Fire callbacks + fire = function() { + + // Enforce single-firing + locked = locked || options.once; + + // Execute callbacks for all pending executions, + // respecting firingIndex overrides and runtime changes + fired = firing = true; + for ( ; queue.length; firingIndex = -1 ) { + memory = queue.shift(); + while ( ++firingIndex < list.length ) { + + // Run callback and check for early termination + if ( list[ firingIndex ].apply( memory[ 0 ], memory[ 1 ] ) === false && + options.stopOnFalse ) { + + // Jump to end and forget the data so .add doesn't re-fire + firingIndex = list.length; + memory = false; + } + } + } + + // Forget the data if we're done with it + if ( !options.memory ) { + memory = false; + } + + firing = false; + + // Clean up if we're done firing for good + if ( locked ) { + + // Keep an empty list if we have data for future add calls + if ( memory ) { + list = []; + + // Otherwise, this object is spent + } else { + list = ""; + } + } + }, + + // Actual Callbacks object + self = { + + // Add a callback or a collection of callbacks to the list + add: function() { + if ( list ) { + + // If we have memory from a past run, we should fire after adding + if ( memory && !firing ) { + firingIndex = list.length - 1; + queue.push( memory ); + } + + ( function add( args ) { + jQuery.each( args, function( _, arg ) { + if ( isFunction( arg ) ) { + if ( !options.unique || !self.has( arg ) ) { + list.push( arg ); + } + } else if ( arg && arg.length && toType( arg ) !== "string" ) { + + // Inspect recursively + add( arg ); + } + } ); + } )( arguments ); + + if ( memory && !firing ) { + fire(); + } + } + return this; + }, + + // Remove a callback from the list + remove: function() { + jQuery.each( arguments, function( _, arg ) { + var index; + while ( ( index = jQuery.inArray( arg, list, index ) ) > -1 ) { + list.splice( index, 1 ); + + // Handle firing indexes + if ( index <= firingIndex ) { + firingIndex--; + } + } + } ); + return this; + }, + + // Check if a given callback is in the list. + // If no argument is given, return whether or not list has callbacks attached. + has: function( fn ) { + return fn ? + jQuery.inArray( fn, list ) > -1 : + list.length > 0; + }, + + // Remove all callbacks from the list + empty: function() { + if ( list ) { + list = []; + } + return this; + }, + + // Disable .fire and .add + // Abort any current/pending executions + // Clear all callbacks and values + disable: function() { + locked = queue = []; + list = memory = ""; + return this; + }, + disabled: function() { + return !list; + }, + + // Disable .fire + // Also disable .add unless we have memory (since it would have no effect) + // Abort any pending executions + lock: function() { + locked = queue = []; + if ( !memory && !firing ) { + list = memory = ""; + } + return this; + }, + locked: function() { + return !!locked; + }, + + // Call all callbacks with the given context and arguments + fireWith: function( context, args ) { + if ( !locked ) { + args = args || []; + args = [ context, args.slice ? args.slice() : args ]; + queue.push( args ); + if ( !firing ) { + fire(); + } + } + return this; + }, + + // Call all the callbacks with the given arguments + fire: function() { + self.fireWith( this, arguments ); + return this; + }, + + // To know if the callbacks have already been called at least once + fired: function() { + return !!fired; + } + }; + + return self; +}; + + +function Identity( v ) { + return v; +} +function Thrower( ex ) { + throw ex; +} + +function adoptValue( value, resolve, reject, noValue ) { + var method; + + try { + + // Check for promise aspect first to privilege synchronous behavior + if ( value && isFunction( ( method = value.promise ) ) ) { + method.call( value ).done( resolve ).fail( reject ); + + // Other thenables + } else if ( value && isFunction( ( method = value.then ) ) ) { + method.call( value, resolve, reject ); + + // Other non-thenables + } else { + + // Control `resolve` arguments by letting Array#slice cast boolean `noValue` to integer: + // * false: [ value ].slice( 0 ) => resolve( value ) + // * true: [ value ].slice( 1 ) => resolve() + resolve.apply( undefined, [ value ].slice( noValue ) ); + } + + // For Promises/A+, convert exceptions into rejections + // Since jQuery.when doesn't unwrap thenables, we can skip the extra checks appearing in + // Deferred#then to conditionally suppress rejection. + } catch ( value ) { + + // Support: Android 4.0 only + // Strict mode functions invoked without .call/.apply get global-object context + reject.apply( undefined, [ value ] ); + } +} + +jQuery.extend( { + + Deferred: function( func ) { + var tuples = [ + + // action, add listener, callbacks, + // ... .then handlers, argument index, [final state] + [ "notify", "progress", jQuery.Callbacks( "memory" ), + jQuery.Callbacks( "memory" ), 2 ], + [ "resolve", "done", jQuery.Callbacks( "once memory" ), + jQuery.Callbacks( "once memory" ), 0, "resolved" ], + [ "reject", "fail", jQuery.Callbacks( "once memory" ), + jQuery.Callbacks( "once memory" ), 1, "rejected" ] + ], + state = "pending", + promise = { + state: function() { + return state; + }, + always: function() { + deferred.done( arguments ).fail( arguments ); + return this; + }, + "catch": function( fn ) { + return promise.then( null, fn ); + }, + + // Keep pipe for back-compat + pipe: function( /* fnDone, fnFail, fnProgress */ ) { + var fns = arguments; + + return jQuery.Deferred( function( newDefer ) { + jQuery.each( tuples, function( _i, tuple ) { + + // Map tuples (progress, done, fail) to arguments (done, fail, progress) + var fn = isFunction( fns[ tuple[ 4 ] ] ) && fns[ tuple[ 4 ] ]; + + // deferred.progress(function() { bind to newDefer or newDefer.notify }) + // deferred.done(function() { bind to newDefer or newDefer.resolve }) + // deferred.fail(function() { bind to newDefer or newDefer.reject }) + deferred[ tuple[ 1 ] ]( function() { + var returned = fn && fn.apply( this, arguments ); + if ( returned && isFunction( returned.promise ) ) { + returned.promise() + .progress( newDefer.notify ) + .done( newDefer.resolve ) + .fail( newDefer.reject ); + } else { + newDefer[ tuple[ 0 ] + "With" ]( + this, + fn ? [ returned ] : arguments + ); + } + } ); + } ); + fns = null; + } ).promise(); + }, + then: function( onFulfilled, onRejected, onProgress ) { + var maxDepth = 0; + function resolve( depth, deferred, handler, special ) { + return function() { + var that = this, + args = arguments, + mightThrow = function() { + var returned, then; + + // Support: Promises/A+ section 2.3.3.3.3 + // https://promisesaplus.com/#point-59 + // Ignore double-resolution attempts + if ( depth < maxDepth ) { + return; + } + + returned = handler.apply( that, args ); + + // Support: Promises/A+ section 2.3.1 + // https://promisesaplus.com/#point-48 + if ( returned === deferred.promise() ) { + throw new TypeError( "Thenable self-resolution" ); + } + + // Support: Promises/A+ sections 2.3.3.1, 3.5 + // https://promisesaplus.com/#point-54 + // https://promisesaplus.com/#point-75 + // Retrieve `then` only once + then = returned && + + // Support: Promises/A+ section 2.3.4 + // https://promisesaplus.com/#point-64 + // Only check objects and functions for thenability + ( typeof returned === "object" || + typeof returned === "function" ) && + returned.then; + + // Handle a returned thenable + if ( isFunction( then ) ) { + + // Special processors (notify) just wait for resolution + if ( special ) { + then.call( + returned, + resolve( maxDepth, deferred, Identity, special ), + resolve( maxDepth, deferred, Thrower, special ) + ); + + // Normal processors (resolve) also hook into progress + } else { + + // ...and disregard older resolution values + maxDepth++; + + then.call( + returned, + resolve( maxDepth, deferred, Identity, special ), + resolve( maxDepth, deferred, Thrower, special ), + resolve( maxDepth, deferred, Identity, + deferred.notifyWith ) + ); + } + + // Handle all other returned values + } else { + + // Only substitute handlers pass on context + // and multiple values (non-spec behavior) + if ( handler !== Identity ) { + that = undefined; + args = [ returned ]; + } + + // Process the value(s) + // Default process is resolve + ( special || deferred.resolveWith )( that, args ); + } + }, + + // Only normal processors (resolve) catch and reject exceptions + process = special ? + mightThrow : + function() { + try { + mightThrow(); + } catch ( e ) { + + if ( jQuery.Deferred.exceptionHook ) { + jQuery.Deferred.exceptionHook( e, + process.stackTrace ); + } + + // Support: Promises/A+ section 2.3.3.3.4.1 + // https://promisesaplus.com/#point-61 + // Ignore post-resolution exceptions + if ( depth + 1 >= maxDepth ) { + + // Only substitute handlers pass on context + // and multiple values (non-spec behavior) + if ( handler !== Thrower ) { + that = undefined; + args = [ e ]; + } + + deferred.rejectWith( that, args ); + } + } + }; + + // Support: Promises/A+ section 2.3.3.3.1 + // https://promisesaplus.com/#point-57 + // Re-resolve promises immediately to dodge false rejection from + // subsequent errors + if ( depth ) { + process(); + } else { + + // Call an optional hook to record the stack, in case of exception + // since it's otherwise lost when execution goes async + if ( jQuery.Deferred.getStackHook ) { + process.stackTrace = jQuery.Deferred.getStackHook(); + } + window.setTimeout( process ); + } + }; + } + + return jQuery.Deferred( function( newDefer ) { + + // progress_handlers.add( ... ) + tuples[ 0 ][ 3 ].add( + resolve( + 0, + newDefer, + isFunction( onProgress ) ? + onProgress : + Identity, + newDefer.notifyWith + ) + ); + + // fulfilled_handlers.add( ... ) + tuples[ 1 ][ 3 ].add( + resolve( + 0, + newDefer, + isFunction( onFulfilled ) ? + onFulfilled : + Identity + ) + ); + + // rejected_handlers.add( ... ) + tuples[ 2 ][ 3 ].add( + resolve( + 0, + newDefer, + isFunction( onRejected ) ? + onRejected : + Thrower + ) + ); + } ).promise(); + }, + + // Get a promise for this deferred + // If obj is provided, the promise aspect is added to the object + promise: function( obj ) { + return obj != null ? jQuery.extend( obj, promise ) : promise; + } + }, + deferred = {}; + + // Add list-specific methods + jQuery.each( tuples, function( i, tuple ) { + var list = tuple[ 2 ], + stateString = tuple[ 5 ]; + + // promise.progress = list.add + // promise.done = list.add + // promise.fail = list.add + promise[ tuple[ 1 ] ] = list.add; + + // Handle state + if ( stateString ) { + list.add( + function() { + + // state = "resolved" (i.e., fulfilled) + // state = "rejected" + state = stateString; + }, + + // rejected_callbacks.disable + // fulfilled_callbacks.disable + tuples[ 3 - i ][ 2 ].disable, + + // rejected_handlers.disable + // fulfilled_handlers.disable + tuples[ 3 - i ][ 3 ].disable, + + // progress_callbacks.lock + tuples[ 0 ][ 2 ].lock, + + // progress_handlers.lock + tuples[ 0 ][ 3 ].lock + ); + } + + // progress_handlers.fire + // fulfilled_handlers.fire + // rejected_handlers.fire + list.add( tuple[ 3 ].fire ); + + // deferred.notify = function() { deferred.notifyWith(...) } + // deferred.resolve = function() { deferred.resolveWith(...) } + // deferred.reject = function() { deferred.rejectWith(...) } + deferred[ tuple[ 0 ] ] = function() { + deferred[ tuple[ 0 ] + "With" ]( this === deferred ? undefined : this, arguments ); + return this; + }; + + // deferred.notifyWith = list.fireWith + // deferred.resolveWith = list.fireWith + // deferred.rejectWith = list.fireWith + deferred[ tuple[ 0 ] + "With" ] = list.fireWith; + } ); + + // Make the deferred a promise + promise.promise( deferred ); + + // Call given func if any + if ( func ) { + func.call( deferred, deferred ); + } + + // All done! + return deferred; + }, + + // Deferred helper + when: function( singleValue ) { + var + + // count of uncompleted subordinates + remaining = arguments.length, + + // count of unprocessed arguments + i = remaining, + + // subordinate fulfillment data + resolveContexts = Array( i ), + resolveValues = slice.call( arguments ), + + // the primary Deferred + primary = jQuery.Deferred(), + + // subordinate callback factory + updateFunc = function( i ) { + return function( value ) { + resolveContexts[ i ] = this; + resolveValues[ i ] = arguments.length > 1 ? slice.call( arguments ) : value; + if ( !( --remaining ) ) { + primary.resolveWith( resolveContexts, resolveValues ); + } + }; + }; + + // Single- and empty arguments are adopted like Promise.resolve + if ( remaining <= 1 ) { + adoptValue( singleValue, primary.done( updateFunc( i ) ).resolve, primary.reject, + !remaining ); + + // Use .then() to unwrap secondary thenables (cf. gh-3000) + if ( primary.state() === "pending" || + isFunction( resolveValues[ i ] && resolveValues[ i ].then ) ) { + + return primary.then(); + } + } + + // Multiple arguments are aggregated like Promise.all array elements + while ( i-- ) { + adoptValue( resolveValues[ i ], updateFunc( i ), primary.reject ); + } + + return primary.promise(); + } +} ); + + +// These usually indicate a programmer mistake during development, +// warn about them ASAP rather than swallowing them by default. +var rerrorNames = /^(Eval|Internal|Range|Reference|Syntax|Type|URI)Error$/; + +jQuery.Deferred.exceptionHook = function( error, stack ) { + + // Support: IE 8 - 9 only + // Console exists when dev tools are open, which can happen at any time + if ( window.console && window.console.warn && error && rerrorNames.test( error.name ) ) { + window.console.warn( "jQuery.Deferred exception: " + error.message, error.stack, stack ); + } +}; + + + + +jQuery.readyException = function( error ) { + window.setTimeout( function() { + throw error; + } ); +}; + + + + +// The deferred used on DOM ready +var readyList = jQuery.Deferred(); + +jQuery.fn.ready = function( fn ) { + + readyList + .then( fn ) + + // Wrap jQuery.readyException in a function so that the lookup + // happens at the time of error handling instead of callback + // registration. + .catch( function( error ) { + jQuery.readyException( error ); + } ); + + return this; +}; + +jQuery.extend( { + + // Is the DOM ready to be used? Set to true once it occurs. + isReady: false, + + // A counter to track how many items to wait for before + // the ready event fires. See #6781 + readyWait: 1, + + // Handle when the DOM is ready + ready: function( wait ) { + + // Abort if there are pending holds or we're already ready + if ( wait === true ? --jQuery.readyWait : jQuery.isReady ) { + return; + } + + // Remember that the DOM is ready + jQuery.isReady = true; + + // If a normal DOM Ready event fired, decrement, and wait if need be + if ( wait !== true && --jQuery.readyWait > 0 ) { + return; + } + + // If there are functions bound, to execute + readyList.resolveWith( document, [ jQuery ] ); + } +} ); + +jQuery.ready.then = readyList.then; + +// The ready event handler and self cleanup method +function completed() { + document.removeEventListener( "DOMContentLoaded", completed ); + window.removeEventListener( "load", completed ); + jQuery.ready(); +} + +// Catch cases where $(document).ready() is called +// after the browser event has already occurred. +// Support: IE <=9 - 10 only +// Older IE sometimes signals "interactive" too soon +if ( document.readyState === "complete" || + ( document.readyState !== "loading" && !document.documentElement.doScroll ) ) { + + // Handle it asynchronously to allow scripts the opportunity to delay ready + window.setTimeout( jQuery.ready ); + +} else { + + // Use the handy event callback + document.addEventListener( "DOMContentLoaded", completed ); + + // A fallback to window.onload, that will always work + window.addEventListener( "load", completed ); +} + + + + +// Multifunctional method to get and set values of a collection +// The value/s can optionally be executed if it's a function +var access = function( elems, fn, key, value, chainable, emptyGet, raw ) { + var i = 0, + len = elems.length, + bulk = key == null; + + // Sets many values + if ( toType( key ) === "object" ) { + chainable = true; + for ( i in key ) { + access( elems, fn, i, key[ i ], true, emptyGet, raw ); + } + + // Sets one value + } else if ( value !== undefined ) { + chainable = true; + + if ( !isFunction( value ) ) { + raw = true; + } + + if ( bulk ) { + + // Bulk operations run against the entire set + if ( raw ) { + fn.call( elems, value ); + fn = null; + + // ...except when executing function values + } else { + bulk = fn; + fn = function( elem, _key, value ) { + return bulk.call( jQuery( elem ), value ); + }; + } + } + + if ( fn ) { + for ( ; i < len; i++ ) { + fn( + elems[ i ], key, raw ? + value : + value.call( elems[ i ], i, fn( elems[ i ], key ) ) + ); + } + } + } + + if ( chainable ) { + return elems; + } + + // Gets + if ( bulk ) { + return fn.call( elems ); + } + + return len ? fn( elems[ 0 ], key ) : emptyGet; +}; + + +// Matches dashed string for camelizing +var rmsPrefix = /^-ms-/, + rdashAlpha = /-([a-z])/g; + +// Used by camelCase as callback to replace() +function fcamelCase( _all, letter ) { + return letter.toUpperCase(); +} + +// Convert dashed to camelCase; used by the css and data modules +// Support: IE <=9 - 11, Edge 12 - 15 +// Microsoft forgot to hump their vendor prefix (#9572) +function camelCase( string ) { + return string.replace( rmsPrefix, "ms-" ).replace( rdashAlpha, fcamelCase ); +} +var acceptData = function( owner ) { + + // Accepts only: + // - Node + // - Node.ELEMENT_NODE + // - Node.DOCUMENT_NODE + // - Object + // - Any + return owner.nodeType === 1 || owner.nodeType === 9 || !( +owner.nodeType ); +}; + + + + +function Data() { + this.expando = jQuery.expando + Data.uid++; +} + +Data.uid = 1; + +Data.prototype = { + + cache: function( owner ) { + + // Check if the owner object already has a cache + var value = owner[ this.expando ]; + + // If not, create one + if ( !value ) { + value = {}; + + // We can accept data for non-element nodes in modern browsers, + // but we should not, see #8335. + // Always return an empty object. + if ( acceptData( owner ) ) { + + // If it is a node unlikely to be stringify-ed or looped over + // use plain assignment + if ( owner.nodeType ) { + owner[ this.expando ] = value; + + // Otherwise secure it in a non-enumerable property + // configurable must be true to allow the property to be + // deleted when data is removed + } else { + Object.defineProperty( owner, this.expando, { + value: value, + configurable: true + } ); + } + } + } + + return value; + }, + set: function( owner, data, value ) { + var prop, + cache = this.cache( owner ); + + // Handle: [ owner, key, value ] args + // Always use camelCase key (gh-2257) + if ( typeof data === "string" ) { + cache[ camelCase( data ) ] = value; + + // Handle: [ owner, { properties } ] args + } else { + + // Copy the properties one-by-one to the cache object + for ( prop in data ) { + cache[ camelCase( prop ) ] = data[ prop ]; + } + } + return cache; + }, + get: function( owner, key ) { + return key === undefined ? + this.cache( owner ) : + + // Always use camelCase key (gh-2257) + owner[ this.expando ] && owner[ this.expando ][ camelCase( key ) ]; + }, + access: function( owner, key, value ) { + + // In cases where either: + // + // 1. No key was specified + // 2. A string key was specified, but no value provided + // + // Take the "read" path and allow the get method to determine + // which value to return, respectively either: + // + // 1. The entire cache object + // 2. The data stored at the key + // + if ( key === undefined || + ( ( key && typeof key === "string" ) && value === undefined ) ) { + + return this.get( owner, key ); + } + + // When the key is not a string, or both a key and value + // are specified, set or extend (existing objects) with either: + // + // 1. An object of properties + // 2. A key and value + // + this.set( owner, key, value ); + + // Since the "set" path can have two possible entry points + // return the expected data based on which path was taken[*] + return value !== undefined ? value : key; + }, + remove: function( owner, key ) { + var i, + cache = owner[ this.expando ]; + + if ( cache === undefined ) { + return; + } + + if ( key !== undefined ) { + + // Support array or space separated string of keys + if ( Array.isArray( key ) ) { + + // If key is an array of keys... + // We always set camelCase keys, so remove that. + key = key.map( camelCase ); + } else { + key = camelCase( key ); + + // If a key with the spaces exists, use it. + // Otherwise, create an array by matching non-whitespace + key = key in cache ? + [ key ] : + ( key.match( rnothtmlwhite ) || [] ); + } + + i = key.length; + + while ( i-- ) { + delete cache[ key[ i ] ]; + } + } + + // Remove the expando if there's no more data + if ( key === undefined || jQuery.isEmptyObject( cache ) ) { + + // Support: Chrome <=35 - 45 + // Webkit & Blink performance suffers when deleting properties + // from DOM nodes, so set to undefined instead + // https://bugs.chromium.org/p/chromium/issues/detail?id=378607 (bug restricted) + if ( owner.nodeType ) { + owner[ this.expando ] = undefined; + } else { + delete owner[ this.expando ]; + } + } + }, + hasData: function( owner ) { + var cache = owner[ this.expando ]; + return cache !== undefined && !jQuery.isEmptyObject( cache ); + } +}; +var dataPriv = new Data(); + +var dataUser = new Data(); + + + +// Implementation Summary +// +// 1. Enforce API surface and semantic compatibility with 1.9.x branch +// 2. Improve the module's maintainability by reducing the storage +// paths to a single mechanism. +// 3. Use the same single mechanism to support "private" and "user" data. +// 4. _Never_ expose "private" data to user code (TODO: Drop _data, _removeData) +// 5. Avoid exposing implementation details on user objects (eg. expando properties) +// 6. Provide a clear path for implementation upgrade to WeakMap in 2014 + +var rbrace = /^(?:\{[\w\W]*\}|\[[\w\W]*\])$/, + rmultiDash = /[A-Z]/g; + +function getData( data ) { + if ( data === "true" ) { + return true; + } + + if ( data === "false" ) { + return false; + } + + if ( data === "null" ) { + return null; + } + + // Only convert to a number if it doesn't change the string + if ( data === +data + "" ) { + return +data; + } + + if ( rbrace.test( data ) ) { + return JSON.parse( data ); + } + + return data; +} + +function dataAttr( elem, key, data ) { + var name; + + // If nothing was found internally, try to fetch any + // data from the HTML5 data-* attribute + if ( data === undefined && elem.nodeType === 1 ) { + name = "data-" + key.replace( rmultiDash, "-$&" ).toLowerCase(); + data = elem.getAttribute( name ); + + if ( typeof data === "string" ) { + try { + data = getData( data ); + } catch ( e ) {} + + // Make sure we set the data so it isn't changed later + dataUser.set( elem, key, data ); + } else { + data = undefined; + } + } + return data; +} + +jQuery.extend( { + hasData: function( elem ) { + return dataUser.hasData( elem ) || dataPriv.hasData( elem ); + }, + + data: function( elem, name, data ) { + return dataUser.access( elem, name, data ); + }, + + removeData: function( elem, name ) { + dataUser.remove( elem, name ); + }, + + // TODO: Now that all calls to _data and _removeData have been replaced + // with direct calls to dataPriv methods, these can be deprecated. + _data: function( elem, name, data ) { + return dataPriv.access( elem, name, data ); + }, + + _removeData: function( elem, name ) { + dataPriv.remove( elem, name ); + } +} ); + +jQuery.fn.extend( { + data: function( key, value ) { + var i, name, data, + elem = this[ 0 ], + attrs = elem && elem.attributes; + + // Gets all values + if ( key === undefined ) { + if ( this.length ) { + data = dataUser.get( elem ); + + if ( elem.nodeType === 1 && !dataPriv.get( elem, "hasDataAttrs" ) ) { + i = attrs.length; + while ( i-- ) { + + // Support: IE 11 only + // The attrs elements can be null (#14894) + if ( attrs[ i ] ) { + name = attrs[ i ].name; + if ( name.indexOf( "data-" ) === 0 ) { + name = camelCase( name.slice( 5 ) ); + dataAttr( elem, name, data[ name ] ); + } + } + } + dataPriv.set( elem, "hasDataAttrs", true ); + } + } + + return data; + } + + // Sets multiple values + if ( typeof key === "object" ) { + return this.each( function() { + dataUser.set( this, key ); + } ); + } + + return access( this, function( value ) { + var data; + + // The calling jQuery object (element matches) is not empty + // (and therefore has an element appears at this[ 0 ]) and the + // `value` parameter was not undefined. An empty jQuery object + // will result in `undefined` for elem = this[ 0 ] which will + // throw an exception if an attempt to read a data cache is made. + if ( elem && value === undefined ) { + + // Attempt to get data from the cache + // The key will always be camelCased in Data + data = dataUser.get( elem, key ); + if ( data !== undefined ) { + return data; + } + + // Attempt to "discover" the data in + // HTML5 custom data-* attrs + data = dataAttr( elem, key ); + if ( data !== undefined ) { + return data; + } + + // We tried really hard, but the data doesn't exist. + return; + } + + // Set the data... + this.each( function() { + + // We always store the camelCased key + dataUser.set( this, key, value ); + } ); + }, null, value, arguments.length > 1, null, true ); + }, + + removeData: function( key ) { + return this.each( function() { + dataUser.remove( this, key ); + } ); + } +} ); + + +jQuery.extend( { + queue: function( elem, type, data ) { + var queue; + + if ( elem ) { + type = ( type || "fx" ) + "queue"; + queue = dataPriv.get( elem, type ); + + // Speed up dequeue by getting out quickly if this is just a lookup + if ( data ) { + if ( !queue || Array.isArray( data ) ) { + queue = dataPriv.access( elem, type, jQuery.makeArray( data ) ); + } else { + queue.push( data ); + } + } + return queue || []; + } + }, + + dequeue: function( elem, type ) { + type = type || "fx"; + + var queue = jQuery.queue( elem, type ), + startLength = queue.length, + fn = queue.shift(), + hooks = jQuery._queueHooks( elem, type ), + next = function() { + jQuery.dequeue( elem, type ); + }; + + // If the fx queue is dequeued, always remove the progress sentinel + if ( fn === "inprogress" ) { + fn = queue.shift(); + startLength--; + } + + if ( fn ) { + + // Add a progress sentinel to prevent the fx queue from being + // automatically dequeued + if ( type === "fx" ) { + queue.unshift( "inprogress" ); + } + + // Clear up the last queue stop function + delete hooks.stop; + fn.call( elem, next, hooks ); + } + + if ( !startLength && hooks ) { + hooks.empty.fire(); + } + }, + + // Not public - generate a queueHooks object, or return the current one + _queueHooks: function( elem, type ) { + var key = type + "queueHooks"; + return dataPriv.get( elem, key ) || dataPriv.access( elem, key, { + empty: jQuery.Callbacks( "once memory" ).add( function() { + dataPriv.remove( elem, [ type + "queue", key ] ); + } ) + } ); + } +} ); + +jQuery.fn.extend( { + queue: function( type, data ) { + var setter = 2; + + if ( typeof type !== "string" ) { + data = type; + type = "fx"; + setter--; + } + + if ( arguments.length < setter ) { + return jQuery.queue( this[ 0 ], type ); + } + + return data === undefined ? + this : + this.each( function() { + var queue = jQuery.queue( this, type, data ); + + // Ensure a hooks for this queue + jQuery._queueHooks( this, type ); + + if ( type === "fx" && queue[ 0 ] !== "inprogress" ) { + jQuery.dequeue( this, type ); + } + } ); + }, + dequeue: function( type ) { + return this.each( function() { + jQuery.dequeue( this, type ); + } ); + }, + clearQueue: function( type ) { + return this.queue( type || "fx", [] ); + }, + + // Get a promise resolved when queues of a certain type + // are emptied (fx is the type by default) + promise: function( type, obj ) { + var tmp, + count = 1, + defer = jQuery.Deferred(), + elements = this, + i = this.length, + resolve = function() { + if ( !( --count ) ) { + defer.resolveWith( elements, [ elements ] ); + } + }; + + if ( typeof type !== "string" ) { + obj = type; + type = undefined; + } + type = type || "fx"; + + while ( i-- ) { + tmp = dataPriv.get( elements[ i ], type + "queueHooks" ); + if ( tmp && tmp.empty ) { + count++; + tmp.empty.add( resolve ); + } + } + resolve(); + return defer.promise( obj ); + } +} ); +var pnum = ( /[+-]?(?:\d*\.|)\d+(?:[eE][+-]?\d+|)/ ).source; + +var rcssNum = new RegExp( "^(?:([+-])=|)(" + pnum + ")([a-z%]*)$", "i" ); + + +var cssExpand = [ "Top", "Right", "Bottom", "Left" ]; + +var documentElement = document.documentElement; + + + + var isAttached = function( elem ) { + return jQuery.contains( elem.ownerDocument, elem ); + }, + composed = { composed: true }; + + // Support: IE 9 - 11+, Edge 12 - 18+, iOS 10.0 - 10.2 only + // Check attachment across shadow DOM boundaries when possible (gh-3504) + // Support: iOS 10.0-10.2 only + // Early iOS 10 versions support `attachShadow` but not `getRootNode`, + // leading to errors. We need to check for `getRootNode`. + if ( documentElement.getRootNode ) { + isAttached = function( elem ) { + return jQuery.contains( elem.ownerDocument, elem ) || + elem.getRootNode( composed ) === elem.ownerDocument; + }; + } +var isHiddenWithinTree = function( elem, el ) { + + // isHiddenWithinTree might be called from jQuery#filter function; + // in that case, element will be second argument + elem = el || elem; + + // Inline style trumps all + return elem.style.display === "none" || + elem.style.display === "" && + + // Otherwise, check computed style + // Support: Firefox <=43 - 45 + // Disconnected elements can have computed display: none, so first confirm that elem is + // in the document. + isAttached( elem ) && + + jQuery.css( elem, "display" ) === "none"; + }; + + + +function adjustCSS( elem, prop, valueParts, tween ) { + var adjusted, scale, + maxIterations = 20, + currentValue = tween ? + function() { + return tween.cur(); + } : + function() { + return jQuery.css( elem, prop, "" ); + }, + initial = currentValue(), + unit = valueParts && valueParts[ 3 ] || ( jQuery.cssNumber[ prop ] ? "" : "px" ), + + // Starting value computation is required for potential unit mismatches + initialInUnit = elem.nodeType && + ( jQuery.cssNumber[ prop ] || unit !== "px" && +initial ) && + rcssNum.exec( jQuery.css( elem, prop ) ); + + if ( initialInUnit && initialInUnit[ 3 ] !== unit ) { + + // Support: Firefox <=54 + // Halve the iteration target value to prevent interference from CSS upper bounds (gh-2144) + initial = initial / 2; + + // Trust units reported by jQuery.css + unit = unit || initialInUnit[ 3 ]; + + // Iteratively approximate from a nonzero starting point + initialInUnit = +initial || 1; + + while ( maxIterations-- ) { + + // Evaluate and update our best guess (doubling guesses that zero out). + // Finish if the scale equals or crosses 1 (making the old*new product non-positive). + jQuery.style( elem, prop, initialInUnit + unit ); + if ( ( 1 - scale ) * ( 1 - ( scale = currentValue() / initial || 0.5 ) ) <= 0 ) { + maxIterations = 0; + } + initialInUnit = initialInUnit / scale; + + } + + initialInUnit = initialInUnit * 2; + jQuery.style( elem, prop, initialInUnit + unit ); + + // Make sure we update the tween properties later on + valueParts = valueParts || []; + } + + if ( valueParts ) { + initialInUnit = +initialInUnit || +initial || 0; + + // Apply relative offset (+=/-=) if specified + adjusted = valueParts[ 1 ] ? + initialInUnit + ( valueParts[ 1 ] + 1 ) * valueParts[ 2 ] : + +valueParts[ 2 ]; + if ( tween ) { + tween.unit = unit; + tween.start = initialInUnit; + tween.end = adjusted; + } + } + return adjusted; +} + + +var defaultDisplayMap = {}; + +function getDefaultDisplay( elem ) { + var temp, + doc = elem.ownerDocument, + nodeName = elem.nodeName, + display = defaultDisplayMap[ nodeName ]; + + if ( display ) { + return display; + } + + temp = doc.body.appendChild( doc.createElement( nodeName ) ); + display = jQuery.css( temp, "display" ); + + temp.parentNode.removeChild( temp ); + + if ( display === "none" ) { + display = "block"; + } + defaultDisplayMap[ nodeName ] = display; + + return display; +} + +function showHide( elements, show ) { + var display, elem, + values = [], + index = 0, + length = elements.length; + + // Determine new display value for elements that need to change + for ( ; index < length; index++ ) { + elem = elements[ index ]; + if ( !elem.style ) { + continue; + } + + display = elem.style.display; + if ( show ) { + + // Since we force visibility upon cascade-hidden elements, an immediate (and slow) + // check is required in this first loop unless we have a nonempty display value (either + // inline or about-to-be-restored) + if ( display === "none" ) { + values[ index ] = dataPriv.get( elem, "display" ) || null; + if ( !values[ index ] ) { + elem.style.display = ""; + } + } + if ( elem.style.display === "" && isHiddenWithinTree( elem ) ) { + values[ index ] = getDefaultDisplay( elem ); + } + } else { + if ( display !== "none" ) { + values[ index ] = "none"; + + // Remember what we're overwriting + dataPriv.set( elem, "display", display ); + } + } + } + + // Set the display of the elements in a second loop to avoid constant reflow + for ( index = 0; index < length; index++ ) { + if ( values[ index ] != null ) { + elements[ index ].style.display = values[ index ]; + } + } + + return elements; +} + +jQuery.fn.extend( { + show: function() { + return showHide( this, true ); + }, + hide: function() { + return showHide( this ); + }, + toggle: function( state ) { + if ( typeof state === "boolean" ) { + return state ? this.show() : this.hide(); + } + + return this.each( function() { + if ( isHiddenWithinTree( this ) ) { + jQuery( this ).show(); + } else { + jQuery( this ).hide(); + } + } ); + } +} ); +var rcheckableType = ( /^(?:checkbox|radio)$/i ); + +var rtagName = ( /<([a-z][^\/\0>\x20\t\r\n\f]*)/i ); + +var rscriptType = ( /^$|^module$|\/(?:java|ecma)script/i ); + + + +( function() { + var fragment = document.createDocumentFragment(), + div = fragment.appendChild( document.createElement( "div" ) ), + input = document.createElement( "input" ); + + // Support: Android 4.0 - 4.3 only + // Check state lost if the name is set (#11217) + // Support: Windows Web Apps (WWA) + // `name` and `type` must use .setAttribute for WWA (#14901) + input.setAttribute( "type", "radio" ); + input.setAttribute( "checked", "checked" ); + input.setAttribute( "name", "t" ); + + div.appendChild( input ); + + // Support: Android <=4.1 only + // Older WebKit doesn't clone checked state correctly in fragments + support.checkClone = div.cloneNode( true ).cloneNode( true ).lastChild.checked; + + // Support: IE <=11 only + // Make sure textarea (and checkbox) defaultValue is properly cloned + div.innerHTML = ""; + support.noCloneChecked = !!div.cloneNode( true ).lastChild.defaultValue; + + // Support: IE <=9 only + // IE <=9 replaces "; + support.option = !!div.lastChild; +} )(); + + +// We have to close these tags to support XHTML (#13200) +var wrapMap = { + + // XHTML parsers do not magically insert elements in the + // same way that tag soup parsers do. So we cannot shorten + // this by omitting or other required elements. + thead: [ 1, "", "
" ], + col: [ 2, "", "
" ], + tr: [ 2, "", "
" ], + td: [ 3, "", "
" ], + + _default: [ 0, "", "" ] +}; + +wrapMap.tbody = wrapMap.tfoot = wrapMap.colgroup = wrapMap.caption = wrapMap.thead; +wrapMap.th = wrapMap.td; + +// Support: IE <=9 only +if ( !support.option ) { + wrapMap.optgroup = wrapMap.option = [ 1, "" ]; +} + + +function getAll( context, tag ) { + + // Support: IE <=9 - 11 only + // Use typeof to avoid zero-argument method invocation on host objects (#15151) + var ret; + + if ( typeof context.getElementsByTagName !== "undefined" ) { + ret = context.getElementsByTagName( tag || "*" ); + + } else if ( typeof context.querySelectorAll !== "undefined" ) { + ret = context.querySelectorAll( tag || "*" ); + + } else { + ret = []; + } + + if ( tag === undefined || tag && nodeName( context, tag ) ) { + return jQuery.merge( [ context ], ret ); + } + + return ret; +} + + +// Mark scripts as having already been evaluated +function setGlobalEval( elems, refElements ) { + var i = 0, + l = elems.length; + + for ( ; i < l; i++ ) { + dataPriv.set( + elems[ i ], + "globalEval", + !refElements || dataPriv.get( refElements[ i ], "globalEval" ) + ); + } +} + + +var rhtml = /<|&#?\w+;/; + +function buildFragment( elems, context, scripts, selection, ignored ) { + var elem, tmp, tag, wrap, attached, j, + fragment = context.createDocumentFragment(), + nodes = [], + i = 0, + l = elems.length; + + for ( ; i < l; i++ ) { + elem = elems[ i ]; + + if ( elem || elem === 0 ) { + + // Add nodes directly + if ( toType( elem ) === "object" ) { + + // Support: Android <=4.0 only, PhantomJS 1 only + // push.apply(_, arraylike) throws on ancient WebKit + jQuery.merge( nodes, elem.nodeType ? [ elem ] : elem ); + + // Convert non-html into a text node + } else if ( !rhtml.test( elem ) ) { + nodes.push( context.createTextNode( elem ) ); + + // Convert html into DOM nodes + } else { + tmp = tmp || fragment.appendChild( context.createElement( "div" ) ); + + // Deserialize a standard representation + tag = ( rtagName.exec( elem ) || [ "", "" ] )[ 1 ].toLowerCase(); + wrap = wrapMap[ tag ] || wrapMap._default; + tmp.innerHTML = wrap[ 1 ] + jQuery.htmlPrefilter( elem ) + wrap[ 2 ]; + + // Descend through wrappers to the right content + j = wrap[ 0 ]; + while ( j-- ) { + tmp = tmp.lastChild; + } + + // Support: Android <=4.0 only, PhantomJS 1 only + // push.apply(_, arraylike) throws on ancient WebKit + jQuery.merge( nodes, tmp.childNodes ); + + // Remember the top-level container + tmp = fragment.firstChild; + + // Ensure the created nodes are orphaned (#12392) + tmp.textContent = ""; + } + } + } + + // Remove wrapper from fragment + fragment.textContent = ""; + + i = 0; + while ( ( elem = nodes[ i++ ] ) ) { + + // Skip elements already in the context collection (trac-4087) + if ( selection && jQuery.inArray( elem, selection ) > -1 ) { + if ( ignored ) { + ignored.push( elem ); + } + continue; + } + + attached = isAttached( elem ); + + // Append to fragment + tmp = getAll( fragment.appendChild( elem ), "script" ); + + // Preserve script evaluation history + if ( attached ) { + setGlobalEval( tmp ); + } + + // Capture executables + if ( scripts ) { + j = 0; + while ( ( elem = tmp[ j++ ] ) ) { + if ( rscriptType.test( elem.type || "" ) ) { + scripts.push( elem ); + } + } + } + } + + return fragment; +} + + +var rtypenamespace = /^([^.]*)(?:\.(.+)|)/; + +function returnTrue() { + return true; +} + +function returnFalse() { + return false; +} + +// Support: IE <=9 - 11+ +// focus() and blur() are asynchronous, except when they are no-op. +// So expect focus to be synchronous when the element is already active, +// and blur to be synchronous when the element is not already active. +// (focus and blur are always synchronous in other supported browsers, +// this just defines when we can count on it). +function expectSync( elem, type ) { + return ( elem === safeActiveElement() ) === ( type === "focus" ); +} + +// Support: IE <=9 only +// Accessing document.activeElement can throw unexpectedly +// https://bugs.jquery.com/ticket/13393 +function safeActiveElement() { + try { + return document.activeElement; + } catch ( err ) { } +} + +function on( elem, types, selector, data, fn, one ) { + var origFn, type; + + // Types can be a map of types/handlers + if ( typeof types === "object" ) { + + // ( types-Object, selector, data ) + if ( typeof selector !== "string" ) { + + // ( types-Object, data ) + data = data || selector; + selector = undefined; + } + for ( type in types ) { + on( elem, type, selector, data, types[ type ], one ); + } + return elem; + } + + if ( data == null && fn == null ) { + + // ( types, fn ) + fn = selector; + data = selector = undefined; + } else if ( fn == null ) { + if ( typeof selector === "string" ) { + + // ( types, selector, fn ) + fn = data; + data = undefined; + } else { + + // ( types, data, fn ) + fn = data; + data = selector; + selector = undefined; + } + } + if ( fn === false ) { + fn = returnFalse; + } else if ( !fn ) { + return elem; + } + + if ( one === 1 ) { + origFn = fn; + fn = function( event ) { + + // Can use an empty set, since event contains the info + jQuery().off( event ); + return origFn.apply( this, arguments ); + }; + + // Use same guid so caller can remove using origFn + fn.guid = origFn.guid || ( origFn.guid = jQuery.guid++ ); + } + return elem.each( function() { + jQuery.event.add( this, types, fn, data, selector ); + } ); +} + +/* + * Helper functions for managing events -- not part of the public interface. + * Props to Dean Edwards' addEvent library for many of the ideas. + */ +jQuery.event = { + + global: {}, + + add: function( elem, types, handler, data, selector ) { + + var handleObjIn, eventHandle, tmp, + events, t, handleObj, + special, handlers, type, namespaces, origType, + elemData = dataPriv.get( elem ); + + // Only attach events to objects that accept data + if ( !acceptData( elem ) ) { + return; + } + + // Caller can pass in an object of custom data in lieu of the handler + if ( handler.handler ) { + handleObjIn = handler; + handler = handleObjIn.handler; + selector = handleObjIn.selector; + } + + // Ensure that invalid selectors throw exceptions at attach time + // Evaluate against documentElement in case elem is a non-element node (e.g., document) + if ( selector ) { + jQuery.find.matchesSelector( documentElement, selector ); + } + + // Make sure that the handler has a unique ID, used to find/remove it later + if ( !handler.guid ) { + handler.guid = jQuery.guid++; + } + + // Init the element's event structure and main handler, if this is the first + if ( !( events = elemData.events ) ) { + events = elemData.events = Object.create( null ); + } + if ( !( eventHandle = elemData.handle ) ) { + eventHandle = elemData.handle = function( e ) { + + // Discard the second event of a jQuery.event.trigger() and + // when an event is called after a page has unloaded + return typeof jQuery !== "undefined" && jQuery.event.triggered !== e.type ? + jQuery.event.dispatch.apply( elem, arguments ) : undefined; + }; + } + + // Handle multiple events separated by a space + types = ( types || "" ).match( rnothtmlwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[ t ] ) || []; + type = origType = tmp[ 1 ]; + namespaces = ( tmp[ 2 ] || "" ).split( "." ).sort(); + + // There *must* be a type, no attaching namespace-only handlers + if ( !type ) { + continue; + } + + // If event changes its type, use the special event handlers for the changed type + special = jQuery.event.special[ type ] || {}; + + // If selector defined, determine special event api type, otherwise given type + type = ( selector ? special.delegateType : special.bindType ) || type; + + // Update special based on newly reset type + special = jQuery.event.special[ type ] || {}; + + // handleObj is passed to all event handlers + handleObj = jQuery.extend( { + type: type, + origType: origType, + data: data, + handler: handler, + guid: handler.guid, + selector: selector, + needsContext: selector && jQuery.expr.match.needsContext.test( selector ), + namespace: namespaces.join( "." ) + }, handleObjIn ); + + // Init the event handler queue if we're the first + if ( !( handlers = events[ type ] ) ) { + handlers = events[ type ] = []; + handlers.delegateCount = 0; + + // Only use addEventListener if the special events handler returns false + if ( !special.setup || + special.setup.call( elem, data, namespaces, eventHandle ) === false ) { + + if ( elem.addEventListener ) { + elem.addEventListener( type, eventHandle ); + } + } + } + + if ( special.add ) { + special.add.call( elem, handleObj ); + + if ( !handleObj.handler.guid ) { + handleObj.handler.guid = handler.guid; + } + } + + // Add to the element's handler list, delegates in front + if ( selector ) { + handlers.splice( handlers.delegateCount++, 0, handleObj ); + } else { + handlers.push( handleObj ); + } + + // Keep track of which events have ever been used, for event optimization + jQuery.event.global[ type ] = true; + } + + }, + + // Detach an event or set of events from an element + remove: function( elem, types, handler, selector, mappedTypes ) { + + var j, origCount, tmp, + events, t, handleObj, + special, handlers, type, namespaces, origType, + elemData = dataPriv.hasData( elem ) && dataPriv.get( elem ); + + if ( !elemData || !( events = elemData.events ) ) { + return; + } + + // Once for each type.namespace in types; type may be omitted + types = ( types || "" ).match( rnothtmlwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[ t ] ) || []; + type = origType = tmp[ 1 ]; + namespaces = ( tmp[ 2 ] || "" ).split( "." ).sort(); + + // Unbind all events (on this namespace, if provided) for the element + if ( !type ) { + for ( type in events ) { + jQuery.event.remove( elem, type + types[ t ], handler, selector, true ); + } + continue; + } + + special = jQuery.event.special[ type ] || {}; + type = ( selector ? special.delegateType : special.bindType ) || type; + handlers = events[ type ] || []; + tmp = tmp[ 2 ] && + new RegExp( "(^|\\.)" + namespaces.join( "\\.(?:.*\\.|)" ) + "(\\.|$)" ); + + // Remove matching events + origCount = j = handlers.length; + while ( j-- ) { + handleObj = handlers[ j ]; + + if ( ( mappedTypes || origType === handleObj.origType ) && + ( !handler || handler.guid === handleObj.guid ) && + ( !tmp || tmp.test( handleObj.namespace ) ) && + ( !selector || selector === handleObj.selector || + selector === "**" && handleObj.selector ) ) { + handlers.splice( j, 1 ); + + if ( handleObj.selector ) { + handlers.delegateCount--; + } + if ( special.remove ) { + special.remove.call( elem, handleObj ); + } + } + } + + // Remove generic event handler if we removed something and no more handlers exist + // (avoids potential for endless recursion during removal of special event handlers) + if ( origCount && !handlers.length ) { + if ( !special.teardown || + special.teardown.call( elem, namespaces, elemData.handle ) === false ) { + + jQuery.removeEvent( elem, type, elemData.handle ); + } + + delete events[ type ]; + } + } + + // Remove data and the expando if it's no longer used + if ( jQuery.isEmptyObject( events ) ) { + dataPriv.remove( elem, "handle events" ); + } + }, + + dispatch: function( nativeEvent ) { + + var i, j, ret, matched, handleObj, handlerQueue, + args = new Array( arguments.length ), + + // Make a writable jQuery.Event from the native event object + event = jQuery.event.fix( nativeEvent ), + + handlers = ( + dataPriv.get( this, "events" ) || Object.create( null ) + )[ event.type ] || [], + special = jQuery.event.special[ event.type ] || {}; + + // Use the fix-ed jQuery.Event rather than the (read-only) native event + args[ 0 ] = event; + + for ( i = 1; i < arguments.length; i++ ) { + args[ i ] = arguments[ i ]; + } + + event.delegateTarget = this; + + // Call the preDispatch hook for the mapped type, and let it bail if desired + if ( special.preDispatch && special.preDispatch.call( this, event ) === false ) { + return; + } + + // Determine handlers + handlerQueue = jQuery.event.handlers.call( this, event, handlers ); + + // Run delegates first; they may want to stop propagation beneath us + i = 0; + while ( ( matched = handlerQueue[ i++ ] ) && !event.isPropagationStopped() ) { + event.currentTarget = matched.elem; + + j = 0; + while ( ( handleObj = matched.handlers[ j++ ] ) && + !event.isImmediatePropagationStopped() ) { + + // If the event is namespaced, then each handler is only invoked if it is + // specially universal or its namespaces are a superset of the event's. + if ( !event.rnamespace || handleObj.namespace === false || + event.rnamespace.test( handleObj.namespace ) ) { + + event.handleObj = handleObj; + event.data = handleObj.data; + + ret = ( ( jQuery.event.special[ handleObj.origType ] || {} ).handle || + handleObj.handler ).apply( matched.elem, args ); + + if ( ret !== undefined ) { + if ( ( event.result = ret ) === false ) { + event.preventDefault(); + event.stopPropagation(); + } + } + } + } + } + + // Call the postDispatch hook for the mapped type + if ( special.postDispatch ) { + special.postDispatch.call( this, event ); + } + + return event.result; + }, + + handlers: function( event, handlers ) { + var i, handleObj, sel, matchedHandlers, matchedSelectors, + handlerQueue = [], + delegateCount = handlers.delegateCount, + cur = event.target; + + // Find delegate handlers + if ( delegateCount && + + // Support: IE <=9 + // Black-hole SVG instance trees (trac-13180) + cur.nodeType && + + // Support: Firefox <=42 + // Suppress spec-violating clicks indicating a non-primary pointer button (trac-3861) + // https://www.w3.org/TR/DOM-Level-3-Events/#event-type-click + // Support: IE 11 only + // ...but not arrow key "clicks" of radio inputs, which can have `button` -1 (gh-2343) + !( event.type === "click" && event.button >= 1 ) ) { + + for ( ; cur !== this; cur = cur.parentNode || this ) { + + // Don't check non-elements (#13208) + // Don't process clicks on disabled elements (#6911, #8165, #11382, #11764) + if ( cur.nodeType === 1 && !( event.type === "click" && cur.disabled === true ) ) { + matchedHandlers = []; + matchedSelectors = {}; + for ( i = 0; i < delegateCount; i++ ) { + handleObj = handlers[ i ]; + + // Don't conflict with Object.prototype properties (#13203) + sel = handleObj.selector + " "; + + if ( matchedSelectors[ sel ] === undefined ) { + matchedSelectors[ sel ] = handleObj.needsContext ? + jQuery( sel, this ).index( cur ) > -1 : + jQuery.find( sel, this, null, [ cur ] ).length; + } + if ( matchedSelectors[ sel ] ) { + matchedHandlers.push( handleObj ); + } + } + if ( matchedHandlers.length ) { + handlerQueue.push( { elem: cur, handlers: matchedHandlers } ); + } + } + } + } + + // Add the remaining (directly-bound) handlers + cur = this; + if ( delegateCount < handlers.length ) { + handlerQueue.push( { elem: cur, handlers: handlers.slice( delegateCount ) } ); + } + + return handlerQueue; + }, + + addProp: function( name, hook ) { + Object.defineProperty( jQuery.Event.prototype, name, { + enumerable: true, + configurable: true, + + get: isFunction( hook ) ? + function() { + if ( this.originalEvent ) { + return hook( this.originalEvent ); + } + } : + function() { + if ( this.originalEvent ) { + return this.originalEvent[ name ]; + } + }, + + set: function( value ) { + Object.defineProperty( this, name, { + enumerable: true, + configurable: true, + writable: true, + value: value + } ); + } + } ); + }, + + fix: function( originalEvent ) { + return originalEvent[ jQuery.expando ] ? + originalEvent : + new jQuery.Event( originalEvent ); + }, + + special: { + load: { + + // Prevent triggered image.load events from bubbling to window.load + noBubble: true + }, + click: { + + // Utilize native event to ensure correct state for checkable inputs + setup: function( data ) { + + // For mutual compressibility with _default, replace `this` access with a local var. + // `|| data` is dead code meant only to preserve the variable through minification. + var el = this || data; + + // Claim the first handler + if ( rcheckableType.test( el.type ) && + el.click && nodeName( el, "input" ) ) { + + // dataPriv.set( el, "click", ... ) + leverageNative( el, "click", returnTrue ); + } + + // Return false to allow normal processing in the caller + return false; + }, + trigger: function( data ) { + + // For mutual compressibility with _default, replace `this` access with a local var. + // `|| data` is dead code meant only to preserve the variable through minification. + var el = this || data; + + // Force setup before triggering a click + if ( rcheckableType.test( el.type ) && + el.click && nodeName( el, "input" ) ) { + + leverageNative( el, "click" ); + } + + // Return non-false to allow normal event-path propagation + return true; + }, + + // For cross-browser consistency, suppress native .click() on links + // Also prevent it if we're currently inside a leveraged native-event stack + _default: function( event ) { + var target = event.target; + return rcheckableType.test( target.type ) && + target.click && nodeName( target, "input" ) && + dataPriv.get( target, "click" ) || + nodeName( target, "a" ); + } + }, + + beforeunload: { + postDispatch: function( event ) { + + // Support: Firefox 20+ + // Firefox doesn't alert if the returnValue field is not set. + if ( event.result !== undefined && event.originalEvent ) { + event.originalEvent.returnValue = event.result; + } + } + } + } +}; + +// Ensure the presence of an event listener that handles manually-triggered +// synthetic events by interrupting progress until reinvoked in response to +// *native* events that it fires directly, ensuring that state changes have +// already occurred before other listeners are invoked. +function leverageNative( el, type, expectSync ) { + + // Missing expectSync indicates a trigger call, which must force setup through jQuery.event.add + if ( !expectSync ) { + if ( dataPriv.get( el, type ) === undefined ) { + jQuery.event.add( el, type, returnTrue ); + } + return; + } + + // Register the controller as a special universal handler for all event namespaces + dataPriv.set( el, type, false ); + jQuery.event.add( el, type, { + namespace: false, + handler: function( event ) { + var notAsync, result, + saved = dataPriv.get( this, type ); + + if ( ( event.isTrigger & 1 ) && this[ type ] ) { + + // Interrupt processing of the outer synthetic .trigger()ed event + // Saved data should be false in such cases, but might be a leftover capture object + // from an async native handler (gh-4350) + if ( !saved.length ) { + + // Store arguments for use when handling the inner native event + // There will always be at least one argument (an event object), so this array + // will not be confused with a leftover capture object. + saved = slice.call( arguments ); + dataPriv.set( this, type, saved ); + + // Trigger the native event and capture its result + // Support: IE <=9 - 11+ + // focus() and blur() are asynchronous + notAsync = expectSync( this, type ); + this[ type ](); + result = dataPriv.get( this, type ); + if ( saved !== result || notAsync ) { + dataPriv.set( this, type, false ); + } else { + result = {}; + } + if ( saved !== result ) { + + // Cancel the outer synthetic event + event.stopImmediatePropagation(); + event.preventDefault(); + + // Support: Chrome 86+ + // In Chrome, if an element having a focusout handler is blurred by + // clicking outside of it, it invokes the handler synchronously. If + // that handler calls `.remove()` on the element, the data is cleared, + // leaving `result` undefined. We need to guard against this. + return result && result.value; + } + + // If this is an inner synthetic event for an event with a bubbling surrogate + // (focus or blur), assume that the surrogate already propagated from triggering the + // native event and prevent that from happening again here. + // This technically gets the ordering wrong w.r.t. to `.trigger()` (in which the + // bubbling surrogate propagates *after* the non-bubbling base), but that seems + // less bad than duplication. + } else if ( ( jQuery.event.special[ type ] || {} ).delegateType ) { + event.stopPropagation(); + } + + // If this is a native event triggered above, everything is now in order + // Fire an inner synthetic event with the original arguments + } else if ( saved.length ) { + + // ...and capture the result + dataPriv.set( this, type, { + value: jQuery.event.trigger( + + // Support: IE <=9 - 11+ + // Extend with the prototype to reset the above stopImmediatePropagation() + jQuery.extend( saved[ 0 ], jQuery.Event.prototype ), + saved.slice( 1 ), + this + ) + } ); + + // Abort handling of the native event + event.stopImmediatePropagation(); + } + } + } ); +} + +jQuery.removeEvent = function( elem, type, handle ) { + + // This "if" is needed for plain objects + if ( elem.removeEventListener ) { + elem.removeEventListener( type, handle ); + } +}; + +jQuery.Event = function( src, props ) { + + // Allow instantiation without the 'new' keyword + if ( !( this instanceof jQuery.Event ) ) { + return new jQuery.Event( src, props ); + } + + // Event object + if ( src && src.type ) { + this.originalEvent = src; + this.type = src.type; + + // Events bubbling up the document may have been marked as prevented + // by a handler lower down the tree; reflect the correct value. + this.isDefaultPrevented = src.defaultPrevented || + src.defaultPrevented === undefined && + + // Support: Android <=2.3 only + src.returnValue === false ? + returnTrue : + returnFalse; + + // Create target properties + // Support: Safari <=6 - 7 only + // Target should not be a text node (#504, #13143) + this.target = ( src.target && src.target.nodeType === 3 ) ? + src.target.parentNode : + src.target; + + this.currentTarget = src.currentTarget; + this.relatedTarget = src.relatedTarget; + + // Event type + } else { + this.type = src; + } + + // Put explicitly provided properties onto the event object + if ( props ) { + jQuery.extend( this, props ); + } + + // Create a timestamp if incoming event doesn't have one + this.timeStamp = src && src.timeStamp || Date.now(); + + // Mark it as fixed + this[ jQuery.expando ] = true; +}; + +// jQuery.Event is based on DOM3 Events as specified by the ECMAScript Language Binding +// https://www.w3.org/TR/2003/WD-DOM-Level-3-Events-20030331/ecma-script-binding.html +jQuery.Event.prototype = { + constructor: jQuery.Event, + isDefaultPrevented: returnFalse, + isPropagationStopped: returnFalse, + isImmediatePropagationStopped: returnFalse, + isSimulated: false, + + preventDefault: function() { + var e = this.originalEvent; + + this.isDefaultPrevented = returnTrue; + + if ( e && !this.isSimulated ) { + e.preventDefault(); + } + }, + stopPropagation: function() { + var e = this.originalEvent; + + this.isPropagationStopped = returnTrue; + + if ( e && !this.isSimulated ) { + e.stopPropagation(); + } + }, + stopImmediatePropagation: function() { + var e = this.originalEvent; + + this.isImmediatePropagationStopped = returnTrue; + + if ( e && !this.isSimulated ) { + e.stopImmediatePropagation(); + } + + this.stopPropagation(); + } +}; + +// Includes all common event props including KeyEvent and MouseEvent specific props +jQuery.each( { + altKey: true, + bubbles: true, + cancelable: true, + changedTouches: true, + ctrlKey: true, + detail: true, + eventPhase: true, + metaKey: true, + pageX: true, + pageY: true, + shiftKey: true, + view: true, + "char": true, + code: true, + charCode: true, + key: true, + keyCode: true, + button: true, + buttons: true, + clientX: true, + clientY: true, + offsetX: true, + offsetY: true, + pointerId: true, + pointerType: true, + screenX: true, + screenY: true, + targetTouches: true, + toElement: true, + touches: true, + which: true +}, jQuery.event.addProp ); + +jQuery.each( { focus: "focusin", blur: "focusout" }, function( type, delegateType ) { + jQuery.event.special[ type ] = { + + // Utilize native event if possible so blur/focus sequence is correct + setup: function() { + + // Claim the first handler + // dataPriv.set( this, "focus", ... ) + // dataPriv.set( this, "blur", ... ) + leverageNative( this, type, expectSync ); + + // Return false to allow normal processing in the caller + return false; + }, + trigger: function() { + + // Force setup before trigger + leverageNative( this, type ); + + // Return non-false to allow normal event-path propagation + return true; + }, + + // Suppress native focus or blur as it's already being fired + // in leverageNative. + _default: function() { + return true; + }, + + delegateType: delegateType + }; +} ); + +// Create mouseenter/leave events using mouseover/out and event-time checks +// so that event delegation works in jQuery. +// Do the same for pointerenter/pointerleave and pointerover/pointerout +// +// Support: Safari 7 only +// Safari sends mouseenter too often; see: +// https://bugs.chromium.org/p/chromium/issues/detail?id=470258 +// for the description of the bug (it existed in older Chrome versions as well). +jQuery.each( { + mouseenter: "mouseover", + mouseleave: "mouseout", + pointerenter: "pointerover", + pointerleave: "pointerout" +}, function( orig, fix ) { + jQuery.event.special[ orig ] = { + delegateType: fix, + bindType: fix, + + handle: function( event ) { + var ret, + target = this, + related = event.relatedTarget, + handleObj = event.handleObj; + + // For mouseenter/leave call the handler if related is outside the target. + // NB: No relatedTarget if the mouse left/entered the browser window + if ( !related || ( related !== target && !jQuery.contains( target, related ) ) ) { + event.type = handleObj.origType; + ret = handleObj.handler.apply( this, arguments ); + event.type = fix; + } + return ret; + } + }; +} ); + +jQuery.fn.extend( { + + on: function( types, selector, data, fn ) { + return on( this, types, selector, data, fn ); + }, + one: function( types, selector, data, fn ) { + return on( this, types, selector, data, fn, 1 ); + }, + off: function( types, selector, fn ) { + var handleObj, type; + if ( types && types.preventDefault && types.handleObj ) { + + // ( event ) dispatched jQuery.Event + handleObj = types.handleObj; + jQuery( types.delegateTarget ).off( + handleObj.namespace ? + handleObj.origType + "." + handleObj.namespace : + handleObj.origType, + handleObj.selector, + handleObj.handler + ); + return this; + } + if ( typeof types === "object" ) { + + // ( types-object [, selector] ) + for ( type in types ) { + this.off( type, selector, types[ type ] ); + } + return this; + } + if ( selector === false || typeof selector === "function" ) { + + // ( types [, fn] ) + fn = selector; + selector = undefined; + } + if ( fn === false ) { + fn = returnFalse; + } + return this.each( function() { + jQuery.event.remove( this, types, fn, selector ); + } ); + } +} ); + + +var + + // Support: IE <=10 - 11, Edge 12 - 13 only + // In IE/Edge using regex groups here causes severe slowdowns. + // See https://connect.microsoft.com/IE/feedback/details/1736512/ + rnoInnerhtml = /\s*$/g; + +// Prefer a tbody over its parent table for containing new rows +function manipulationTarget( elem, content ) { + if ( nodeName( elem, "table" ) && + nodeName( content.nodeType !== 11 ? content : content.firstChild, "tr" ) ) { + + return jQuery( elem ).children( "tbody" )[ 0 ] || elem; + } + + return elem; +} + +// Replace/restore the type attribute of script elements for safe DOM manipulation +function disableScript( elem ) { + elem.type = ( elem.getAttribute( "type" ) !== null ) + "/" + elem.type; + return elem; +} +function restoreScript( elem ) { + if ( ( elem.type || "" ).slice( 0, 5 ) === "true/" ) { + elem.type = elem.type.slice( 5 ); + } else { + elem.removeAttribute( "type" ); + } + + return elem; +} + +function cloneCopyEvent( src, dest ) { + var i, l, type, pdataOld, udataOld, udataCur, events; + + if ( dest.nodeType !== 1 ) { + return; + } + + // 1. Copy private data: events, handlers, etc. + if ( dataPriv.hasData( src ) ) { + pdataOld = dataPriv.get( src ); + events = pdataOld.events; + + if ( events ) { + dataPriv.remove( dest, "handle events" ); + + for ( type in events ) { + for ( i = 0, l = events[ type ].length; i < l; i++ ) { + jQuery.event.add( dest, type, events[ type ][ i ] ); + } + } + } + } + + // 2. Copy user data + if ( dataUser.hasData( src ) ) { + udataOld = dataUser.access( src ); + udataCur = jQuery.extend( {}, udataOld ); + + dataUser.set( dest, udataCur ); + } +} + +// Fix IE bugs, see support tests +function fixInput( src, dest ) { + var nodeName = dest.nodeName.toLowerCase(); + + // Fails to persist the checked state of a cloned checkbox or radio button. + if ( nodeName === "input" && rcheckableType.test( src.type ) ) { + dest.checked = src.checked; + + // Fails to return the selected option to the default selected state when cloning options + } else if ( nodeName === "input" || nodeName === "textarea" ) { + dest.defaultValue = src.defaultValue; + } +} + +function domManip( collection, args, callback, ignored ) { + + // Flatten any nested arrays + args = flat( args ); + + var fragment, first, scripts, hasScripts, node, doc, + i = 0, + l = collection.length, + iNoClone = l - 1, + value = args[ 0 ], + valueIsFunction = isFunction( value ); + + // We can't cloneNode fragments that contain checked, in WebKit + if ( valueIsFunction || + ( l > 1 && typeof value === "string" && + !support.checkClone && rchecked.test( value ) ) ) { + return collection.each( function( index ) { + var self = collection.eq( index ); + if ( valueIsFunction ) { + args[ 0 ] = value.call( this, index, self.html() ); + } + domManip( self, args, callback, ignored ); + } ); + } + + if ( l ) { + fragment = buildFragment( args, collection[ 0 ].ownerDocument, false, collection, ignored ); + first = fragment.firstChild; + + if ( fragment.childNodes.length === 1 ) { + fragment = first; + } + + // Require either new content or an interest in ignored elements to invoke the callback + if ( first || ignored ) { + scripts = jQuery.map( getAll( fragment, "script" ), disableScript ); + hasScripts = scripts.length; + + // Use the original fragment for the last item + // instead of the first because it can end up + // being emptied incorrectly in certain situations (#8070). + for ( ; i < l; i++ ) { + node = fragment; + + if ( i !== iNoClone ) { + node = jQuery.clone( node, true, true ); + + // Keep references to cloned scripts for later restoration + if ( hasScripts ) { + + // Support: Android <=4.0 only, PhantomJS 1 only + // push.apply(_, arraylike) throws on ancient WebKit + jQuery.merge( scripts, getAll( node, "script" ) ); + } + } + + callback.call( collection[ i ], node, i ); + } + + if ( hasScripts ) { + doc = scripts[ scripts.length - 1 ].ownerDocument; + + // Reenable scripts + jQuery.map( scripts, restoreScript ); + + // Evaluate executable scripts on first document insertion + for ( i = 0; i < hasScripts; i++ ) { + node = scripts[ i ]; + if ( rscriptType.test( node.type || "" ) && + !dataPriv.access( node, "globalEval" ) && + jQuery.contains( doc, node ) ) { + + if ( node.src && ( node.type || "" ).toLowerCase() !== "module" ) { + + // Optional AJAX dependency, but won't run scripts if not present + if ( jQuery._evalUrl && !node.noModule ) { + jQuery._evalUrl( node.src, { + nonce: node.nonce || node.getAttribute( "nonce" ) + }, doc ); + } + } else { + DOMEval( node.textContent.replace( rcleanScript, "" ), node, doc ); + } + } + } + } + } + } + + return collection; +} + +function remove( elem, selector, keepData ) { + var node, + nodes = selector ? jQuery.filter( selector, elem ) : elem, + i = 0; + + for ( ; ( node = nodes[ i ] ) != null; i++ ) { + if ( !keepData && node.nodeType === 1 ) { + jQuery.cleanData( getAll( node ) ); + } + + if ( node.parentNode ) { + if ( keepData && isAttached( node ) ) { + setGlobalEval( getAll( node, "script" ) ); + } + node.parentNode.removeChild( node ); + } + } + + return elem; +} + +jQuery.extend( { + htmlPrefilter: function( html ) { + return html; + }, + + clone: function( elem, dataAndEvents, deepDataAndEvents ) { + var i, l, srcElements, destElements, + clone = elem.cloneNode( true ), + inPage = isAttached( elem ); + + // Fix IE cloning issues + if ( !support.noCloneChecked && ( elem.nodeType === 1 || elem.nodeType === 11 ) && + !jQuery.isXMLDoc( elem ) ) { + + // We eschew Sizzle here for performance reasons: https://jsperf.com/getall-vs-sizzle/2 + destElements = getAll( clone ); + srcElements = getAll( elem ); + + for ( i = 0, l = srcElements.length; i < l; i++ ) { + fixInput( srcElements[ i ], destElements[ i ] ); + } + } + + // Copy the events from the original to the clone + if ( dataAndEvents ) { + if ( deepDataAndEvents ) { + srcElements = srcElements || getAll( elem ); + destElements = destElements || getAll( clone ); + + for ( i = 0, l = srcElements.length; i < l; i++ ) { + cloneCopyEvent( srcElements[ i ], destElements[ i ] ); + } + } else { + cloneCopyEvent( elem, clone ); + } + } + + // Preserve script evaluation history + destElements = getAll( clone, "script" ); + if ( destElements.length > 0 ) { + setGlobalEval( destElements, !inPage && getAll( elem, "script" ) ); + } + + // Return the cloned set + return clone; + }, + + cleanData: function( elems ) { + var data, elem, type, + special = jQuery.event.special, + i = 0; + + for ( ; ( elem = elems[ i ] ) !== undefined; i++ ) { + if ( acceptData( elem ) ) { + if ( ( data = elem[ dataPriv.expando ] ) ) { + if ( data.events ) { + for ( type in data.events ) { + if ( special[ type ] ) { + jQuery.event.remove( elem, type ); + + // This is a shortcut to avoid jQuery.event.remove's overhead + } else { + jQuery.removeEvent( elem, type, data.handle ); + } + } + } + + // Support: Chrome <=35 - 45+ + // Assign undefined instead of using delete, see Data#remove + elem[ dataPriv.expando ] = undefined; + } + if ( elem[ dataUser.expando ] ) { + + // Support: Chrome <=35 - 45+ + // Assign undefined instead of using delete, see Data#remove + elem[ dataUser.expando ] = undefined; + } + } + } + } +} ); + +jQuery.fn.extend( { + detach: function( selector ) { + return remove( this, selector, true ); + }, + + remove: function( selector ) { + return remove( this, selector ); + }, + + text: function( value ) { + return access( this, function( value ) { + return value === undefined ? + jQuery.text( this ) : + this.empty().each( function() { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + this.textContent = value; + } + } ); + }, null, value, arguments.length ); + }, + + append: function() { + return domManip( this, arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.appendChild( elem ); + } + } ); + }, + + prepend: function() { + return domManip( this, arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.insertBefore( elem, target.firstChild ); + } + } ); + }, + + before: function() { + return domManip( this, arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this ); + } + } ); + }, + + after: function() { + return domManip( this, arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this.nextSibling ); + } + } ); + }, + + empty: function() { + var elem, + i = 0; + + for ( ; ( elem = this[ i ] ) != null; i++ ) { + if ( elem.nodeType === 1 ) { + + // Prevent memory leaks + jQuery.cleanData( getAll( elem, false ) ); + + // Remove any remaining nodes + elem.textContent = ""; + } + } + + return this; + }, + + clone: function( dataAndEvents, deepDataAndEvents ) { + dataAndEvents = dataAndEvents == null ? false : dataAndEvents; + deepDataAndEvents = deepDataAndEvents == null ? dataAndEvents : deepDataAndEvents; + + return this.map( function() { + return jQuery.clone( this, dataAndEvents, deepDataAndEvents ); + } ); + }, + + html: function( value ) { + return access( this, function( value ) { + var elem = this[ 0 ] || {}, + i = 0, + l = this.length; + + if ( value === undefined && elem.nodeType === 1 ) { + return elem.innerHTML; + } + + // See if we can take a shortcut and just use innerHTML + if ( typeof value === "string" && !rnoInnerhtml.test( value ) && + !wrapMap[ ( rtagName.exec( value ) || [ "", "" ] )[ 1 ].toLowerCase() ] ) { + + value = jQuery.htmlPrefilter( value ); + + try { + for ( ; i < l; i++ ) { + elem = this[ i ] || {}; + + // Remove element nodes and prevent memory leaks + if ( elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem, false ) ); + elem.innerHTML = value; + } + } + + elem = 0; + + // If using innerHTML throws an exception, use the fallback method + } catch ( e ) {} + } + + if ( elem ) { + this.empty().append( value ); + } + }, null, value, arguments.length ); + }, + + replaceWith: function() { + var ignored = []; + + // Make the changes, replacing each non-ignored context element with the new content + return domManip( this, arguments, function( elem ) { + var parent = this.parentNode; + + if ( jQuery.inArray( this, ignored ) < 0 ) { + jQuery.cleanData( getAll( this ) ); + if ( parent ) { + parent.replaceChild( elem, this ); + } + } + + // Force callback invocation + }, ignored ); + } +} ); + +jQuery.each( { + appendTo: "append", + prependTo: "prepend", + insertBefore: "before", + insertAfter: "after", + replaceAll: "replaceWith" +}, function( name, original ) { + jQuery.fn[ name ] = function( selector ) { + var elems, + ret = [], + insert = jQuery( selector ), + last = insert.length - 1, + i = 0; + + for ( ; i <= last; i++ ) { + elems = i === last ? this : this.clone( true ); + jQuery( insert[ i ] )[ original ]( elems ); + + // Support: Android <=4.0 only, PhantomJS 1 only + // .get() because push.apply(_, arraylike) throws on ancient WebKit + push.apply( ret, elems.get() ); + } + + return this.pushStack( ret ); + }; +} ); +var rnumnonpx = new RegExp( "^(" + pnum + ")(?!px)[a-z%]+$", "i" ); + +var getStyles = function( elem ) { + + // Support: IE <=11 only, Firefox <=30 (#15098, #14150) + // IE throws on elements created in popups + // FF meanwhile throws on frame elements through "defaultView.getComputedStyle" + var view = elem.ownerDocument.defaultView; + + if ( !view || !view.opener ) { + view = window; + } + + return view.getComputedStyle( elem ); + }; + +var swap = function( elem, options, callback ) { + var ret, name, + old = {}; + + // Remember the old values, and insert the new ones + for ( name in options ) { + old[ name ] = elem.style[ name ]; + elem.style[ name ] = options[ name ]; + } + + ret = callback.call( elem ); + + // Revert the old values + for ( name in options ) { + elem.style[ name ] = old[ name ]; + } + + return ret; +}; + + +var rboxStyle = new RegExp( cssExpand.join( "|" ), "i" ); + + + +( function() { + + // Executing both pixelPosition & boxSizingReliable tests require only one layout + // so they're executed at the same time to save the second computation. + function computeStyleTests() { + + // This is a singleton, we need to execute it only once + if ( !div ) { + return; + } + + container.style.cssText = "position:absolute;left:-11111px;width:60px;" + + "margin-top:1px;padding:0;border:0"; + div.style.cssText = + "position:relative;display:block;box-sizing:border-box;overflow:scroll;" + + "margin:auto;border:1px;padding:1px;" + + "width:60%;top:1%"; + documentElement.appendChild( container ).appendChild( div ); + + var divStyle = window.getComputedStyle( div ); + pixelPositionVal = divStyle.top !== "1%"; + + // Support: Android 4.0 - 4.3 only, Firefox <=3 - 44 + reliableMarginLeftVal = roundPixelMeasures( divStyle.marginLeft ) === 12; + + // Support: Android 4.0 - 4.3 only, Safari <=9.1 - 10.1, iOS <=7.0 - 9.3 + // Some styles come back with percentage values, even though they shouldn't + div.style.right = "60%"; + pixelBoxStylesVal = roundPixelMeasures( divStyle.right ) === 36; + + // Support: IE 9 - 11 only + // Detect misreporting of content dimensions for box-sizing:border-box elements + boxSizingReliableVal = roundPixelMeasures( divStyle.width ) === 36; + + // Support: IE 9 only + // Detect overflow:scroll screwiness (gh-3699) + // Support: Chrome <=64 + // Don't get tricked when zoom affects offsetWidth (gh-4029) + div.style.position = "absolute"; + scrollboxSizeVal = roundPixelMeasures( div.offsetWidth / 3 ) === 12; + + documentElement.removeChild( container ); + + // Nullify the div so it wouldn't be stored in the memory and + // it will also be a sign that checks already performed + div = null; + } + + function roundPixelMeasures( measure ) { + return Math.round( parseFloat( measure ) ); + } + + var pixelPositionVal, boxSizingReliableVal, scrollboxSizeVal, pixelBoxStylesVal, + reliableTrDimensionsVal, reliableMarginLeftVal, + container = document.createElement( "div" ), + div = document.createElement( "div" ); + + // Finish early in limited (non-browser) environments + if ( !div.style ) { + return; + } + + // Support: IE <=9 - 11 only + // Style of cloned element affects source element cloned (#8908) + div.style.backgroundClip = "content-box"; + div.cloneNode( true ).style.backgroundClip = ""; + support.clearCloneStyle = div.style.backgroundClip === "content-box"; + + jQuery.extend( support, { + boxSizingReliable: function() { + computeStyleTests(); + return boxSizingReliableVal; + }, + pixelBoxStyles: function() { + computeStyleTests(); + return pixelBoxStylesVal; + }, + pixelPosition: function() { + computeStyleTests(); + return pixelPositionVal; + }, + reliableMarginLeft: function() { + computeStyleTests(); + return reliableMarginLeftVal; + }, + scrollboxSize: function() { + computeStyleTests(); + return scrollboxSizeVal; + }, + + // Support: IE 9 - 11+, Edge 15 - 18+ + // IE/Edge misreport `getComputedStyle` of table rows with width/height + // set in CSS while `offset*` properties report correct values. + // Behavior in IE 9 is more subtle than in newer versions & it passes + // some versions of this test; make sure not to make it pass there! + // + // Support: Firefox 70+ + // Only Firefox includes border widths + // in computed dimensions. (gh-4529) + reliableTrDimensions: function() { + var table, tr, trChild, trStyle; + if ( reliableTrDimensionsVal == null ) { + table = document.createElement( "table" ); + tr = document.createElement( "tr" ); + trChild = document.createElement( "div" ); + + table.style.cssText = "position:absolute;left:-11111px;border-collapse:separate"; + tr.style.cssText = "border:1px solid"; + + // Support: Chrome 86+ + // Height set through cssText does not get applied. + // Computed height then comes back as 0. + tr.style.height = "1px"; + trChild.style.height = "9px"; + + // Support: Android 8 Chrome 86+ + // In our bodyBackground.html iframe, + // display for all div elements is set to "inline", + // which causes a problem only in Android 8 Chrome 86. + // Ensuring the div is display: block + // gets around this issue. + trChild.style.display = "block"; + + documentElement + .appendChild( table ) + .appendChild( tr ) + .appendChild( trChild ); + + trStyle = window.getComputedStyle( tr ); + reliableTrDimensionsVal = ( parseInt( trStyle.height, 10 ) + + parseInt( trStyle.borderTopWidth, 10 ) + + parseInt( trStyle.borderBottomWidth, 10 ) ) === tr.offsetHeight; + + documentElement.removeChild( table ); + } + return reliableTrDimensionsVal; + } + } ); +} )(); + + +function curCSS( elem, name, computed ) { + var width, minWidth, maxWidth, ret, + + // Support: Firefox 51+ + // Retrieving style before computed somehow + // fixes an issue with getting wrong values + // on detached elements + style = elem.style; + + computed = computed || getStyles( elem ); + + // getPropertyValue is needed for: + // .css('filter') (IE 9 only, #12537) + // .css('--customProperty) (#3144) + if ( computed ) { + ret = computed.getPropertyValue( name ) || computed[ name ]; + + if ( ret === "" && !isAttached( elem ) ) { + ret = jQuery.style( elem, name ); + } + + // A tribute to the "awesome hack by Dean Edwards" + // Android Browser returns percentage for some values, + // but width seems to be reliably pixels. + // This is against the CSSOM draft spec: + // https://drafts.csswg.org/cssom/#resolved-values + if ( !support.pixelBoxStyles() && rnumnonpx.test( ret ) && rboxStyle.test( name ) ) { + + // Remember the original values + width = style.width; + minWidth = style.minWidth; + maxWidth = style.maxWidth; + + // Put in the new values to get a computed value out + style.minWidth = style.maxWidth = style.width = ret; + ret = computed.width; + + // Revert the changed values + style.width = width; + style.minWidth = minWidth; + style.maxWidth = maxWidth; + } + } + + return ret !== undefined ? + + // Support: IE <=9 - 11 only + // IE returns zIndex value as an integer. + ret + "" : + ret; +} + + +function addGetHookIf( conditionFn, hookFn ) { + + // Define the hook, we'll check on the first run if it's really needed. + return { + get: function() { + if ( conditionFn() ) { + + // Hook not needed (or it's not possible to use it due + // to missing dependency), remove it. + delete this.get; + return; + } + + // Hook needed; redefine it so that the support test is not executed again. + return ( this.get = hookFn ).apply( this, arguments ); + } + }; +} + + +var cssPrefixes = [ "Webkit", "Moz", "ms" ], + emptyStyle = document.createElement( "div" ).style, + vendorProps = {}; + +// Return a vendor-prefixed property or undefined +function vendorPropName( name ) { + + // Check for vendor prefixed names + var capName = name[ 0 ].toUpperCase() + name.slice( 1 ), + i = cssPrefixes.length; + + while ( i-- ) { + name = cssPrefixes[ i ] + capName; + if ( name in emptyStyle ) { + return name; + } + } +} + +// Return a potentially-mapped jQuery.cssProps or vendor prefixed property +function finalPropName( name ) { + var final = jQuery.cssProps[ name ] || vendorProps[ name ]; + + if ( final ) { + return final; + } + if ( name in emptyStyle ) { + return name; + } + return vendorProps[ name ] = vendorPropName( name ) || name; +} + + +var + + // Swappable if display is none or starts with table + // except "table", "table-cell", or "table-caption" + // See here for display values: https://developer.mozilla.org/en-US/docs/CSS/display + rdisplayswap = /^(none|table(?!-c[ea]).+)/, + rcustomProp = /^--/, + cssShow = { position: "absolute", visibility: "hidden", display: "block" }, + cssNormalTransform = { + letterSpacing: "0", + fontWeight: "400" + }; + +function setPositiveNumber( _elem, value, subtract ) { + + // Any relative (+/-) values have already been + // normalized at this point + var matches = rcssNum.exec( value ); + return matches ? + + // Guard against undefined "subtract", e.g., when used as in cssHooks + Math.max( 0, matches[ 2 ] - ( subtract || 0 ) ) + ( matches[ 3 ] || "px" ) : + value; +} + +function boxModelAdjustment( elem, dimension, box, isBorderBox, styles, computedVal ) { + var i = dimension === "width" ? 1 : 0, + extra = 0, + delta = 0; + + // Adjustment may not be necessary + if ( box === ( isBorderBox ? "border" : "content" ) ) { + return 0; + } + + for ( ; i < 4; i += 2 ) { + + // Both box models exclude margin + if ( box === "margin" ) { + delta += jQuery.css( elem, box + cssExpand[ i ], true, styles ); + } + + // If we get here with a content-box, we're seeking "padding" or "border" or "margin" + if ( !isBorderBox ) { + + // Add padding + delta += jQuery.css( elem, "padding" + cssExpand[ i ], true, styles ); + + // For "border" or "margin", add border + if ( box !== "padding" ) { + delta += jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles ); + + // But still keep track of it otherwise + } else { + extra += jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles ); + } + + // If we get here with a border-box (content + padding + border), we're seeking "content" or + // "padding" or "margin" + } else { + + // For "content", subtract padding + if ( box === "content" ) { + delta -= jQuery.css( elem, "padding" + cssExpand[ i ], true, styles ); + } + + // For "content" or "padding", subtract border + if ( box !== "margin" ) { + delta -= jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles ); + } + } + } + + // Account for positive content-box scroll gutter when requested by providing computedVal + if ( !isBorderBox && computedVal >= 0 ) { + + // offsetWidth/offsetHeight is a rounded sum of content, padding, scroll gutter, and border + // Assuming integer scroll gutter, subtract the rest and round down + delta += Math.max( 0, Math.ceil( + elem[ "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 ) ] - + computedVal - + delta - + extra - + 0.5 + + // If offsetWidth/offsetHeight is unknown, then we can't determine content-box scroll gutter + // Use an explicit zero to avoid NaN (gh-3964) + ) ) || 0; + } + + return delta; +} + +function getWidthOrHeight( elem, dimension, extra ) { + + // Start with computed style + var styles = getStyles( elem ), + + // To avoid forcing a reflow, only fetch boxSizing if we need it (gh-4322). + // Fake content-box until we know it's needed to know the true value. + boxSizingNeeded = !support.boxSizingReliable() || extra, + isBorderBox = boxSizingNeeded && + jQuery.css( elem, "boxSizing", false, styles ) === "border-box", + valueIsBorderBox = isBorderBox, + + val = curCSS( elem, dimension, styles ), + offsetProp = "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 ); + + // Support: Firefox <=54 + // Return a confounding non-pixel value or feign ignorance, as appropriate. + if ( rnumnonpx.test( val ) ) { + if ( !extra ) { + return val; + } + val = "auto"; + } + + + // Support: IE 9 - 11 only + // Use offsetWidth/offsetHeight for when box sizing is unreliable. + // In those cases, the computed value can be trusted to be border-box. + if ( ( !support.boxSizingReliable() && isBorderBox || + + // Support: IE 10 - 11+, Edge 15 - 18+ + // IE/Edge misreport `getComputedStyle` of table rows with width/height + // set in CSS while `offset*` properties report correct values. + // Interestingly, in some cases IE 9 doesn't suffer from this issue. + !support.reliableTrDimensions() && nodeName( elem, "tr" ) || + + // Fall back to offsetWidth/offsetHeight when value is "auto" + // This happens for inline elements with no explicit setting (gh-3571) + val === "auto" || + + // Support: Android <=4.1 - 4.3 only + // Also use offsetWidth/offsetHeight for misreported inline dimensions (gh-3602) + !parseFloat( val ) && jQuery.css( elem, "display", false, styles ) === "inline" ) && + + // Make sure the element is visible & connected + elem.getClientRects().length ) { + + isBorderBox = jQuery.css( elem, "boxSizing", false, styles ) === "border-box"; + + // Where available, offsetWidth/offsetHeight approximate border box dimensions. + // Where not available (e.g., SVG), assume unreliable box-sizing and interpret the + // retrieved value as a content box dimension. + valueIsBorderBox = offsetProp in elem; + if ( valueIsBorderBox ) { + val = elem[ offsetProp ]; + } + } + + // Normalize "" and auto + val = parseFloat( val ) || 0; + + // Adjust for the element's box model + return ( val + + boxModelAdjustment( + elem, + dimension, + extra || ( isBorderBox ? "border" : "content" ), + valueIsBorderBox, + styles, + + // Provide the current computed size to request scroll gutter calculation (gh-3589) + val + ) + ) + "px"; +} + +jQuery.extend( { + + // Add in style property hooks for overriding the default + // behavior of getting and setting a style property + cssHooks: { + opacity: { + get: function( elem, computed ) { + if ( computed ) { + + // We should always get a number back from opacity + var ret = curCSS( elem, "opacity" ); + return ret === "" ? "1" : ret; + } + } + } + }, + + // Don't automatically add "px" to these possibly-unitless properties + cssNumber: { + "animationIterationCount": true, + "columnCount": true, + "fillOpacity": true, + "flexGrow": true, + "flexShrink": true, + "fontWeight": true, + "gridArea": true, + "gridColumn": true, + "gridColumnEnd": true, + "gridColumnStart": true, + "gridRow": true, + "gridRowEnd": true, + "gridRowStart": true, + "lineHeight": true, + "opacity": true, + "order": true, + "orphans": true, + "widows": true, + "zIndex": true, + "zoom": true + }, + + // Add in properties whose names you wish to fix before + // setting or getting the value + cssProps: {}, + + // Get and set the style property on a DOM Node + style: function( elem, name, value, extra ) { + + // Don't set styles on text and comment nodes + if ( !elem || elem.nodeType === 3 || elem.nodeType === 8 || !elem.style ) { + return; + } + + // Make sure that we're working with the right name + var ret, type, hooks, + origName = camelCase( name ), + isCustomProp = rcustomProp.test( name ), + style = elem.style; + + // Make sure that we're working with the right name. We don't + // want to query the value if it is a CSS custom property + // since they are user-defined. + if ( !isCustomProp ) { + name = finalPropName( origName ); + } + + // Gets hook for the prefixed version, then unprefixed version + hooks = jQuery.cssHooks[ name ] || jQuery.cssHooks[ origName ]; + + // Check if we're setting a value + if ( value !== undefined ) { + type = typeof value; + + // Convert "+=" or "-=" to relative numbers (#7345) + if ( type === "string" && ( ret = rcssNum.exec( value ) ) && ret[ 1 ] ) { + value = adjustCSS( elem, name, ret ); + + // Fixes bug #9237 + type = "number"; + } + + // Make sure that null and NaN values aren't set (#7116) + if ( value == null || value !== value ) { + return; + } + + // If a number was passed in, add the unit (except for certain CSS properties) + // The isCustomProp check can be removed in jQuery 4.0 when we only auto-append + // "px" to a few hardcoded values. + if ( type === "number" && !isCustomProp ) { + value += ret && ret[ 3 ] || ( jQuery.cssNumber[ origName ] ? "" : "px" ); + } + + // background-* props affect original clone's values + if ( !support.clearCloneStyle && value === "" && name.indexOf( "background" ) === 0 ) { + style[ name ] = "inherit"; + } + + // If a hook was provided, use that value, otherwise just set the specified value + if ( !hooks || !( "set" in hooks ) || + ( value = hooks.set( elem, value, extra ) ) !== undefined ) { + + if ( isCustomProp ) { + style.setProperty( name, value ); + } else { + style[ name ] = value; + } + } + + } else { + + // If a hook was provided get the non-computed value from there + if ( hooks && "get" in hooks && + ( ret = hooks.get( elem, false, extra ) ) !== undefined ) { + + return ret; + } + + // Otherwise just get the value from the style object + return style[ name ]; + } + }, + + css: function( elem, name, extra, styles ) { + var val, num, hooks, + origName = camelCase( name ), + isCustomProp = rcustomProp.test( name ); + + // Make sure that we're working with the right name. We don't + // want to modify the value if it is a CSS custom property + // since they are user-defined. + if ( !isCustomProp ) { + name = finalPropName( origName ); + } + + // Try prefixed name followed by the unprefixed name + hooks = jQuery.cssHooks[ name ] || jQuery.cssHooks[ origName ]; + + // If a hook was provided get the computed value from there + if ( hooks && "get" in hooks ) { + val = hooks.get( elem, true, extra ); + } + + // Otherwise, if a way to get the computed value exists, use that + if ( val === undefined ) { + val = curCSS( elem, name, styles ); + } + + // Convert "normal" to computed value + if ( val === "normal" && name in cssNormalTransform ) { + val = cssNormalTransform[ name ]; + } + + // Make numeric if forced or a qualifier was provided and val looks numeric + if ( extra === "" || extra ) { + num = parseFloat( val ); + return extra === true || isFinite( num ) ? num || 0 : val; + } + + return val; + } +} ); + +jQuery.each( [ "height", "width" ], function( _i, dimension ) { + jQuery.cssHooks[ dimension ] = { + get: function( elem, computed, extra ) { + if ( computed ) { + + // Certain elements can have dimension info if we invisibly show them + // but it must have a current display style that would benefit + return rdisplayswap.test( jQuery.css( elem, "display" ) ) && + + // Support: Safari 8+ + // Table columns in Safari have non-zero offsetWidth & zero + // getBoundingClientRect().width unless display is changed. + // Support: IE <=11 only + // Running getBoundingClientRect on a disconnected node + // in IE throws an error. + ( !elem.getClientRects().length || !elem.getBoundingClientRect().width ) ? + swap( elem, cssShow, function() { + return getWidthOrHeight( elem, dimension, extra ); + } ) : + getWidthOrHeight( elem, dimension, extra ); + } + }, + + set: function( elem, value, extra ) { + var matches, + styles = getStyles( elem ), + + // Only read styles.position if the test has a chance to fail + // to avoid forcing a reflow. + scrollboxSizeBuggy = !support.scrollboxSize() && + styles.position === "absolute", + + // To avoid forcing a reflow, only fetch boxSizing if we need it (gh-3991) + boxSizingNeeded = scrollboxSizeBuggy || extra, + isBorderBox = boxSizingNeeded && + jQuery.css( elem, "boxSizing", false, styles ) === "border-box", + subtract = extra ? + boxModelAdjustment( + elem, + dimension, + extra, + isBorderBox, + styles + ) : + 0; + + // Account for unreliable border-box dimensions by comparing offset* to computed and + // faking a content-box to get border and padding (gh-3699) + if ( isBorderBox && scrollboxSizeBuggy ) { + subtract -= Math.ceil( + elem[ "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 ) ] - + parseFloat( styles[ dimension ] ) - + boxModelAdjustment( elem, dimension, "border", false, styles ) - + 0.5 + ); + } + + // Convert to pixels if value adjustment is needed + if ( subtract && ( matches = rcssNum.exec( value ) ) && + ( matches[ 3 ] || "px" ) !== "px" ) { + + elem.style[ dimension ] = value; + value = jQuery.css( elem, dimension ); + } + + return setPositiveNumber( elem, value, subtract ); + } + }; +} ); + +jQuery.cssHooks.marginLeft = addGetHookIf( support.reliableMarginLeft, + function( elem, computed ) { + if ( computed ) { + return ( parseFloat( curCSS( elem, "marginLeft" ) ) || + elem.getBoundingClientRect().left - + swap( elem, { marginLeft: 0 }, function() { + return elem.getBoundingClientRect().left; + } ) + ) + "px"; + } + } +); + +// These hooks are used by animate to expand properties +jQuery.each( { + margin: "", + padding: "", + border: "Width" +}, function( prefix, suffix ) { + jQuery.cssHooks[ prefix + suffix ] = { + expand: function( value ) { + var i = 0, + expanded = {}, + + // Assumes a single number if not a string + parts = typeof value === "string" ? value.split( " " ) : [ value ]; + + for ( ; i < 4; i++ ) { + expanded[ prefix + cssExpand[ i ] + suffix ] = + parts[ i ] || parts[ i - 2 ] || parts[ 0 ]; + } + + return expanded; + } + }; + + if ( prefix !== "margin" ) { + jQuery.cssHooks[ prefix + suffix ].set = setPositiveNumber; + } +} ); + +jQuery.fn.extend( { + css: function( name, value ) { + return access( this, function( elem, name, value ) { + var styles, len, + map = {}, + i = 0; + + if ( Array.isArray( name ) ) { + styles = getStyles( elem ); + len = name.length; + + for ( ; i < len; i++ ) { + map[ name[ i ] ] = jQuery.css( elem, name[ i ], false, styles ); + } + + return map; + } + + return value !== undefined ? + jQuery.style( elem, name, value ) : + jQuery.css( elem, name ); + }, name, value, arguments.length > 1 ); + } +} ); + + +function Tween( elem, options, prop, end, easing ) { + return new Tween.prototype.init( elem, options, prop, end, easing ); +} +jQuery.Tween = Tween; + +Tween.prototype = { + constructor: Tween, + init: function( elem, options, prop, end, easing, unit ) { + this.elem = elem; + this.prop = prop; + this.easing = easing || jQuery.easing._default; + this.options = options; + this.start = this.now = this.cur(); + this.end = end; + this.unit = unit || ( jQuery.cssNumber[ prop ] ? "" : "px" ); + }, + cur: function() { + var hooks = Tween.propHooks[ this.prop ]; + + return hooks && hooks.get ? + hooks.get( this ) : + Tween.propHooks._default.get( this ); + }, + run: function( percent ) { + var eased, + hooks = Tween.propHooks[ this.prop ]; + + if ( this.options.duration ) { + this.pos = eased = jQuery.easing[ this.easing ]( + percent, this.options.duration * percent, 0, 1, this.options.duration + ); + } else { + this.pos = eased = percent; + } + this.now = ( this.end - this.start ) * eased + this.start; + + if ( this.options.step ) { + this.options.step.call( this.elem, this.now, this ); + } + + if ( hooks && hooks.set ) { + hooks.set( this ); + } else { + Tween.propHooks._default.set( this ); + } + return this; + } +}; + +Tween.prototype.init.prototype = Tween.prototype; + +Tween.propHooks = { + _default: { + get: function( tween ) { + var result; + + // Use a property on the element directly when it is not a DOM element, + // or when there is no matching style property that exists. + if ( tween.elem.nodeType !== 1 || + tween.elem[ tween.prop ] != null && tween.elem.style[ tween.prop ] == null ) { + return tween.elem[ tween.prop ]; + } + + // Passing an empty string as a 3rd parameter to .css will automatically + // attempt a parseFloat and fallback to a string if the parse fails. + // Simple values such as "10px" are parsed to Float; + // complex values such as "rotate(1rad)" are returned as-is. + result = jQuery.css( tween.elem, tween.prop, "" ); + + // Empty strings, null, undefined and "auto" are converted to 0. + return !result || result === "auto" ? 0 : result; + }, + set: function( tween ) { + + // Use step hook for back compat. + // Use cssHook if its there. + // Use .style if available and use plain properties where available. + if ( jQuery.fx.step[ tween.prop ] ) { + jQuery.fx.step[ tween.prop ]( tween ); + } else if ( tween.elem.nodeType === 1 && ( + jQuery.cssHooks[ tween.prop ] || + tween.elem.style[ finalPropName( tween.prop ) ] != null ) ) { + jQuery.style( tween.elem, tween.prop, tween.now + tween.unit ); + } else { + tween.elem[ tween.prop ] = tween.now; + } + } + } +}; + +// Support: IE <=9 only +// Panic based approach to setting things on disconnected nodes +Tween.propHooks.scrollTop = Tween.propHooks.scrollLeft = { + set: function( tween ) { + if ( tween.elem.nodeType && tween.elem.parentNode ) { + tween.elem[ tween.prop ] = tween.now; + } + } +}; + +jQuery.easing = { + linear: function( p ) { + return p; + }, + swing: function( p ) { + return 0.5 - Math.cos( p * Math.PI ) / 2; + }, + _default: "swing" +}; + +jQuery.fx = Tween.prototype.init; + +// Back compat <1.8 extension point +jQuery.fx.step = {}; + + + + +var + fxNow, inProgress, + rfxtypes = /^(?:toggle|show|hide)$/, + rrun = /queueHooks$/; + +function schedule() { + if ( inProgress ) { + if ( document.hidden === false && window.requestAnimationFrame ) { + window.requestAnimationFrame( schedule ); + } else { + window.setTimeout( schedule, jQuery.fx.interval ); + } + + jQuery.fx.tick(); + } +} + +// Animations created synchronously will run synchronously +function createFxNow() { + window.setTimeout( function() { + fxNow = undefined; + } ); + return ( fxNow = Date.now() ); +} + +// Generate parameters to create a standard animation +function genFx( type, includeWidth ) { + var which, + i = 0, + attrs = { height: type }; + + // If we include width, step value is 1 to do all cssExpand values, + // otherwise step value is 2 to skip over Left and Right + includeWidth = includeWidth ? 1 : 0; + for ( ; i < 4; i += 2 - includeWidth ) { + which = cssExpand[ i ]; + attrs[ "margin" + which ] = attrs[ "padding" + which ] = type; + } + + if ( includeWidth ) { + attrs.opacity = attrs.width = type; + } + + return attrs; +} + +function createTween( value, prop, animation ) { + var tween, + collection = ( Animation.tweeners[ prop ] || [] ).concat( Animation.tweeners[ "*" ] ), + index = 0, + length = collection.length; + for ( ; index < length; index++ ) { + if ( ( tween = collection[ index ].call( animation, prop, value ) ) ) { + + // We're done with this property + return tween; + } + } +} + +function defaultPrefilter( elem, props, opts ) { + var prop, value, toggle, hooks, oldfire, propTween, restoreDisplay, display, + isBox = "width" in props || "height" in props, + anim = this, + orig = {}, + style = elem.style, + hidden = elem.nodeType && isHiddenWithinTree( elem ), + dataShow = dataPriv.get( elem, "fxshow" ); + + // Queue-skipping animations hijack the fx hooks + if ( !opts.queue ) { + hooks = jQuery._queueHooks( elem, "fx" ); + if ( hooks.unqueued == null ) { + hooks.unqueued = 0; + oldfire = hooks.empty.fire; + hooks.empty.fire = function() { + if ( !hooks.unqueued ) { + oldfire(); + } + }; + } + hooks.unqueued++; + + anim.always( function() { + + // Ensure the complete handler is called before this completes + anim.always( function() { + hooks.unqueued--; + if ( !jQuery.queue( elem, "fx" ).length ) { + hooks.empty.fire(); + } + } ); + } ); + } + + // Detect show/hide animations + for ( prop in props ) { + value = props[ prop ]; + if ( rfxtypes.test( value ) ) { + delete props[ prop ]; + toggle = toggle || value === "toggle"; + if ( value === ( hidden ? "hide" : "show" ) ) { + + // Pretend to be hidden if this is a "show" and + // there is still data from a stopped show/hide + if ( value === "show" && dataShow && dataShow[ prop ] !== undefined ) { + hidden = true; + + // Ignore all other no-op show/hide data + } else { + continue; + } + } + orig[ prop ] = dataShow && dataShow[ prop ] || jQuery.style( elem, prop ); + } + } + + // Bail out if this is a no-op like .hide().hide() + propTween = !jQuery.isEmptyObject( props ); + if ( !propTween && jQuery.isEmptyObject( orig ) ) { + return; + } + + // Restrict "overflow" and "display" styles during box animations + if ( isBox && elem.nodeType === 1 ) { + + // Support: IE <=9 - 11, Edge 12 - 15 + // Record all 3 overflow attributes because IE does not infer the shorthand + // from identically-valued overflowX and overflowY and Edge just mirrors + // the overflowX value there. + opts.overflow = [ style.overflow, style.overflowX, style.overflowY ]; + + // Identify a display type, preferring old show/hide data over the CSS cascade + restoreDisplay = dataShow && dataShow.display; + if ( restoreDisplay == null ) { + restoreDisplay = dataPriv.get( elem, "display" ); + } + display = jQuery.css( elem, "display" ); + if ( display === "none" ) { + if ( restoreDisplay ) { + display = restoreDisplay; + } else { + + // Get nonempty value(s) by temporarily forcing visibility + showHide( [ elem ], true ); + restoreDisplay = elem.style.display || restoreDisplay; + display = jQuery.css( elem, "display" ); + showHide( [ elem ] ); + } + } + + // Animate inline elements as inline-block + if ( display === "inline" || display === "inline-block" && restoreDisplay != null ) { + if ( jQuery.css( elem, "float" ) === "none" ) { + + // Restore the original display value at the end of pure show/hide animations + if ( !propTween ) { + anim.done( function() { + style.display = restoreDisplay; + } ); + if ( restoreDisplay == null ) { + display = style.display; + restoreDisplay = display === "none" ? "" : display; + } + } + style.display = "inline-block"; + } + } + } + + if ( opts.overflow ) { + style.overflow = "hidden"; + anim.always( function() { + style.overflow = opts.overflow[ 0 ]; + style.overflowX = opts.overflow[ 1 ]; + style.overflowY = opts.overflow[ 2 ]; + } ); + } + + // Implement show/hide animations + propTween = false; + for ( prop in orig ) { + + // General show/hide setup for this element animation + if ( !propTween ) { + if ( dataShow ) { + if ( "hidden" in dataShow ) { + hidden = dataShow.hidden; + } + } else { + dataShow = dataPriv.access( elem, "fxshow", { display: restoreDisplay } ); + } + + // Store hidden/visible for toggle so `.stop().toggle()` "reverses" + if ( toggle ) { + dataShow.hidden = !hidden; + } + + // Show elements before animating them + if ( hidden ) { + showHide( [ elem ], true ); + } + + /* eslint-disable no-loop-func */ + + anim.done( function() { + + /* eslint-enable no-loop-func */ + + // The final step of a "hide" animation is actually hiding the element + if ( !hidden ) { + showHide( [ elem ] ); + } + dataPriv.remove( elem, "fxshow" ); + for ( prop in orig ) { + jQuery.style( elem, prop, orig[ prop ] ); + } + } ); + } + + // Per-property setup + propTween = createTween( hidden ? dataShow[ prop ] : 0, prop, anim ); + if ( !( prop in dataShow ) ) { + dataShow[ prop ] = propTween.start; + if ( hidden ) { + propTween.end = propTween.start; + propTween.start = 0; + } + } + } +} + +function propFilter( props, specialEasing ) { + var index, name, easing, value, hooks; + + // camelCase, specialEasing and expand cssHook pass + for ( index in props ) { + name = camelCase( index ); + easing = specialEasing[ name ]; + value = props[ index ]; + if ( Array.isArray( value ) ) { + easing = value[ 1 ]; + value = props[ index ] = value[ 0 ]; + } + + if ( index !== name ) { + props[ name ] = value; + delete props[ index ]; + } + + hooks = jQuery.cssHooks[ name ]; + if ( hooks && "expand" in hooks ) { + value = hooks.expand( value ); + delete props[ name ]; + + // Not quite $.extend, this won't overwrite existing keys. + // Reusing 'index' because we have the correct "name" + for ( index in value ) { + if ( !( index in props ) ) { + props[ index ] = value[ index ]; + specialEasing[ index ] = easing; + } + } + } else { + specialEasing[ name ] = easing; + } + } +} + +function Animation( elem, properties, options ) { + var result, + stopped, + index = 0, + length = Animation.prefilters.length, + deferred = jQuery.Deferred().always( function() { + + // Don't match elem in the :animated selector + delete tick.elem; + } ), + tick = function() { + if ( stopped ) { + return false; + } + var currentTime = fxNow || createFxNow(), + remaining = Math.max( 0, animation.startTime + animation.duration - currentTime ), + + // Support: Android 2.3 only + // Archaic crash bug won't allow us to use `1 - ( 0.5 || 0 )` (#12497) + temp = remaining / animation.duration || 0, + percent = 1 - temp, + index = 0, + length = animation.tweens.length; + + for ( ; index < length; index++ ) { + animation.tweens[ index ].run( percent ); + } + + deferred.notifyWith( elem, [ animation, percent, remaining ] ); + + // If there's more to do, yield + if ( percent < 1 && length ) { + return remaining; + } + + // If this was an empty animation, synthesize a final progress notification + if ( !length ) { + deferred.notifyWith( elem, [ animation, 1, 0 ] ); + } + + // Resolve the animation and report its conclusion + deferred.resolveWith( elem, [ animation ] ); + return false; + }, + animation = deferred.promise( { + elem: elem, + props: jQuery.extend( {}, properties ), + opts: jQuery.extend( true, { + specialEasing: {}, + easing: jQuery.easing._default + }, options ), + originalProperties: properties, + originalOptions: options, + startTime: fxNow || createFxNow(), + duration: options.duration, + tweens: [], + createTween: function( prop, end ) { + var tween = jQuery.Tween( elem, animation.opts, prop, end, + animation.opts.specialEasing[ prop ] || animation.opts.easing ); + animation.tweens.push( tween ); + return tween; + }, + stop: function( gotoEnd ) { + var index = 0, + + // If we are going to the end, we want to run all the tweens + // otherwise we skip this part + length = gotoEnd ? animation.tweens.length : 0; + if ( stopped ) { + return this; + } + stopped = true; + for ( ; index < length; index++ ) { + animation.tweens[ index ].run( 1 ); + } + + // Resolve when we played the last frame; otherwise, reject + if ( gotoEnd ) { + deferred.notifyWith( elem, [ animation, 1, 0 ] ); + deferred.resolveWith( elem, [ animation, gotoEnd ] ); + } else { + deferred.rejectWith( elem, [ animation, gotoEnd ] ); + } + return this; + } + } ), + props = animation.props; + + propFilter( props, animation.opts.specialEasing ); + + for ( ; index < length; index++ ) { + result = Animation.prefilters[ index ].call( animation, elem, props, animation.opts ); + if ( result ) { + if ( isFunction( result.stop ) ) { + jQuery._queueHooks( animation.elem, animation.opts.queue ).stop = + result.stop.bind( result ); + } + return result; + } + } + + jQuery.map( props, createTween, animation ); + + if ( isFunction( animation.opts.start ) ) { + animation.opts.start.call( elem, animation ); + } + + // Attach callbacks from options + animation + .progress( animation.opts.progress ) + .done( animation.opts.done, animation.opts.complete ) + .fail( animation.opts.fail ) + .always( animation.opts.always ); + + jQuery.fx.timer( + jQuery.extend( tick, { + elem: elem, + anim: animation, + queue: animation.opts.queue + } ) + ); + + return animation; +} + +jQuery.Animation = jQuery.extend( Animation, { + + tweeners: { + "*": [ function( prop, value ) { + var tween = this.createTween( prop, value ); + adjustCSS( tween.elem, prop, rcssNum.exec( value ), tween ); + return tween; + } ] + }, + + tweener: function( props, callback ) { + if ( isFunction( props ) ) { + callback = props; + props = [ "*" ]; + } else { + props = props.match( rnothtmlwhite ); + } + + var prop, + index = 0, + length = props.length; + + for ( ; index < length; index++ ) { + prop = props[ index ]; + Animation.tweeners[ prop ] = Animation.tweeners[ prop ] || []; + Animation.tweeners[ prop ].unshift( callback ); + } + }, + + prefilters: [ defaultPrefilter ], + + prefilter: function( callback, prepend ) { + if ( prepend ) { + Animation.prefilters.unshift( callback ); + } else { + Animation.prefilters.push( callback ); + } + } +} ); + +jQuery.speed = function( speed, easing, fn ) { + var opt = speed && typeof speed === "object" ? jQuery.extend( {}, speed ) : { + complete: fn || !fn && easing || + isFunction( speed ) && speed, + duration: speed, + easing: fn && easing || easing && !isFunction( easing ) && easing + }; + + // Go to the end state if fx are off + if ( jQuery.fx.off ) { + opt.duration = 0; + + } else { + if ( typeof opt.duration !== "number" ) { + if ( opt.duration in jQuery.fx.speeds ) { + opt.duration = jQuery.fx.speeds[ opt.duration ]; + + } else { + opt.duration = jQuery.fx.speeds._default; + } + } + } + + // Normalize opt.queue - true/undefined/null -> "fx" + if ( opt.queue == null || opt.queue === true ) { + opt.queue = "fx"; + } + + // Queueing + opt.old = opt.complete; + + opt.complete = function() { + if ( isFunction( opt.old ) ) { + opt.old.call( this ); + } + + if ( opt.queue ) { + jQuery.dequeue( this, opt.queue ); + } + }; + + return opt; +}; + +jQuery.fn.extend( { + fadeTo: function( speed, to, easing, callback ) { + + // Show any hidden elements after setting opacity to 0 + return this.filter( isHiddenWithinTree ).css( "opacity", 0 ).show() + + // Animate to the value specified + .end().animate( { opacity: to }, speed, easing, callback ); + }, + animate: function( prop, speed, easing, callback ) { + var empty = jQuery.isEmptyObject( prop ), + optall = jQuery.speed( speed, easing, callback ), + doAnimation = function() { + + // Operate on a copy of prop so per-property easing won't be lost + var anim = Animation( this, jQuery.extend( {}, prop ), optall ); + + // Empty animations, or finishing resolves immediately + if ( empty || dataPriv.get( this, "finish" ) ) { + anim.stop( true ); + } + }; + + doAnimation.finish = doAnimation; + + return empty || optall.queue === false ? + this.each( doAnimation ) : + this.queue( optall.queue, doAnimation ); + }, + stop: function( type, clearQueue, gotoEnd ) { + var stopQueue = function( hooks ) { + var stop = hooks.stop; + delete hooks.stop; + stop( gotoEnd ); + }; + + if ( typeof type !== "string" ) { + gotoEnd = clearQueue; + clearQueue = type; + type = undefined; + } + if ( clearQueue ) { + this.queue( type || "fx", [] ); + } + + return this.each( function() { + var dequeue = true, + index = type != null && type + "queueHooks", + timers = jQuery.timers, + data = dataPriv.get( this ); + + if ( index ) { + if ( data[ index ] && data[ index ].stop ) { + stopQueue( data[ index ] ); + } + } else { + for ( index in data ) { + if ( data[ index ] && data[ index ].stop && rrun.test( index ) ) { + stopQueue( data[ index ] ); + } + } + } + + for ( index = timers.length; index--; ) { + if ( timers[ index ].elem === this && + ( type == null || timers[ index ].queue === type ) ) { + + timers[ index ].anim.stop( gotoEnd ); + dequeue = false; + timers.splice( index, 1 ); + } + } + + // Start the next in the queue if the last step wasn't forced. + // Timers currently will call their complete callbacks, which + // will dequeue but only if they were gotoEnd. + if ( dequeue || !gotoEnd ) { + jQuery.dequeue( this, type ); + } + } ); + }, + finish: function( type ) { + if ( type !== false ) { + type = type || "fx"; + } + return this.each( function() { + var index, + data = dataPriv.get( this ), + queue = data[ type + "queue" ], + hooks = data[ type + "queueHooks" ], + timers = jQuery.timers, + length = queue ? queue.length : 0; + + // Enable finishing flag on private data + data.finish = true; + + // Empty the queue first + jQuery.queue( this, type, [] ); + + if ( hooks && hooks.stop ) { + hooks.stop.call( this, true ); + } + + // Look for any active animations, and finish them + for ( index = timers.length; index--; ) { + if ( timers[ index ].elem === this && timers[ index ].queue === type ) { + timers[ index ].anim.stop( true ); + timers.splice( index, 1 ); + } + } + + // Look for any animations in the old queue and finish them + for ( index = 0; index < length; index++ ) { + if ( queue[ index ] && queue[ index ].finish ) { + queue[ index ].finish.call( this ); + } + } + + // Turn off finishing flag + delete data.finish; + } ); + } +} ); + +jQuery.each( [ "toggle", "show", "hide" ], function( _i, name ) { + var cssFn = jQuery.fn[ name ]; + jQuery.fn[ name ] = function( speed, easing, callback ) { + return speed == null || typeof speed === "boolean" ? + cssFn.apply( this, arguments ) : + this.animate( genFx( name, true ), speed, easing, callback ); + }; +} ); + +// Generate shortcuts for custom animations +jQuery.each( { + slideDown: genFx( "show" ), + slideUp: genFx( "hide" ), + slideToggle: genFx( "toggle" ), + fadeIn: { opacity: "show" }, + fadeOut: { opacity: "hide" }, + fadeToggle: { opacity: "toggle" } +}, function( name, props ) { + jQuery.fn[ name ] = function( speed, easing, callback ) { + return this.animate( props, speed, easing, callback ); + }; +} ); + +jQuery.timers = []; +jQuery.fx.tick = function() { + var timer, + i = 0, + timers = jQuery.timers; + + fxNow = Date.now(); + + for ( ; i < timers.length; i++ ) { + timer = timers[ i ]; + + // Run the timer and safely remove it when done (allowing for external removal) + if ( !timer() && timers[ i ] === timer ) { + timers.splice( i--, 1 ); + } + } + + if ( !timers.length ) { + jQuery.fx.stop(); + } + fxNow = undefined; +}; + +jQuery.fx.timer = function( timer ) { + jQuery.timers.push( timer ); + jQuery.fx.start(); +}; + +jQuery.fx.interval = 13; +jQuery.fx.start = function() { + if ( inProgress ) { + return; + } + + inProgress = true; + schedule(); +}; + +jQuery.fx.stop = function() { + inProgress = null; +}; + +jQuery.fx.speeds = { + slow: 600, + fast: 200, + + // Default speed + _default: 400 +}; + + +// Based off of the plugin by Clint Helfers, with permission. +// https://web.archive.org/web/20100324014747/http://blindsignals.com/index.php/2009/07/jquery-delay/ +jQuery.fn.delay = function( time, type ) { + time = jQuery.fx ? jQuery.fx.speeds[ time ] || time : time; + type = type || "fx"; + + return this.queue( type, function( next, hooks ) { + var timeout = window.setTimeout( next, time ); + hooks.stop = function() { + window.clearTimeout( timeout ); + }; + } ); +}; + + +( function() { + var input = document.createElement( "input" ), + select = document.createElement( "select" ), + opt = select.appendChild( document.createElement( "option" ) ); + + input.type = "checkbox"; + + // Support: Android <=4.3 only + // Default value for a checkbox should be "on" + support.checkOn = input.value !== ""; + + // Support: IE <=11 only + // Must access selectedIndex to make default options select + support.optSelected = opt.selected; + + // Support: IE <=11 only + // An input loses its value after becoming a radio + input = document.createElement( "input" ); + input.value = "t"; + input.type = "radio"; + support.radioValue = input.value === "t"; +} )(); + + +var boolHook, + attrHandle = jQuery.expr.attrHandle; + +jQuery.fn.extend( { + attr: function( name, value ) { + return access( this, jQuery.attr, name, value, arguments.length > 1 ); + }, + + removeAttr: function( name ) { + return this.each( function() { + jQuery.removeAttr( this, name ); + } ); + } +} ); + +jQuery.extend( { + attr: function( elem, name, value ) { + var ret, hooks, + nType = elem.nodeType; + + // Don't get/set attributes on text, comment and attribute nodes + if ( nType === 3 || nType === 8 || nType === 2 ) { + return; + } + + // Fallback to prop when attributes are not supported + if ( typeof elem.getAttribute === "undefined" ) { + return jQuery.prop( elem, name, value ); + } + + // Attribute hooks are determined by the lowercase version + // Grab necessary hook if one is defined + if ( nType !== 1 || !jQuery.isXMLDoc( elem ) ) { + hooks = jQuery.attrHooks[ name.toLowerCase() ] || + ( jQuery.expr.match.bool.test( name ) ? boolHook : undefined ); + } + + if ( value !== undefined ) { + if ( value === null ) { + jQuery.removeAttr( elem, name ); + return; + } + + if ( hooks && "set" in hooks && + ( ret = hooks.set( elem, value, name ) ) !== undefined ) { + return ret; + } + + elem.setAttribute( name, value + "" ); + return value; + } + + if ( hooks && "get" in hooks && ( ret = hooks.get( elem, name ) ) !== null ) { + return ret; + } + + ret = jQuery.find.attr( elem, name ); + + // Non-existent attributes return null, we normalize to undefined + return ret == null ? undefined : ret; + }, + + attrHooks: { + type: { + set: function( elem, value ) { + if ( !support.radioValue && value === "radio" && + nodeName( elem, "input" ) ) { + var val = elem.value; + elem.setAttribute( "type", value ); + if ( val ) { + elem.value = val; + } + return value; + } + } + } + }, + + removeAttr: function( elem, value ) { + var name, + i = 0, + + // Attribute names can contain non-HTML whitespace characters + // https://html.spec.whatwg.org/multipage/syntax.html#attributes-2 + attrNames = value && value.match( rnothtmlwhite ); + + if ( attrNames && elem.nodeType === 1 ) { + while ( ( name = attrNames[ i++ ] ) ) { + elem.removeAttribute( name ); + } + } + } +} ); + +// Hooks for boolean attributes +boolHook = { + set: function( elem, value, name ) { + if ( value === false ) { + + // Remove boolean attributes when set to false + jQuery.removeAttr( elem, name ); + } else { + elem.setAttribute( name, name ); + } + return name; + } +}; + +jQuery.each( jQuery.expr.match.bool.source.match( /\w+/g ), function( _i, name ) { + var getter = attrHandle[ name ] || jQuery.find.attr; + + attrHandle[ name ] = function( elem, name, isXML ) { + var ret, handle, + lowercaseName = name.toLowerCase(); + + if ( !isXML ) { + + // Avoid an infinite loop by temporarily removing this function from the getter + handle = attrHandle[ lowercaseName ]; + attrHandle[ lowercaseName ] = ret; + ret = getter( elem, name, isXML ) != null ? + lowercaseName : + null; + attrHandle[ lowercaseName ] = handle; + } + return ret; + }; +} ); + + + + +var rfocusable = /^(?:input|select|textarea|button)$/i, + rclickable = /^(?:a|area)$/i; + +jQuery.fn.extend( { + prop: function( name, value ) { + return access( this, jQuery.prop, name, value, arguments.length > 1 ); + }, + + removeProp: function( name ) { + return this.each( function() { + delete this[ jQuery.propFix[ name ] || name ]; + } ); + } +} ); + +jQuery.extend( { + prop: function( elem, name, value ) { + var ret, hooks, + nType = elem.nodeType; + + // Don't get/set properties on text, comment and attribute nodes + if ( nType === 3 || nType === 8 || nType === 2 ) { + return; + } + + if ( nType !== 1 || !jQuery.isXMLDoc( elem ) ) { + + // Fix name and attach hooks + name = jQuery.propFix[ name ] || name; + hooks = jQuery.propHooks[ name ]; + } + + if ( value !== undefined ) { + if ( hooks && "set" in hooks && + ( ret = hooks.set( elem, value, name ) ) !== undefined ) { + return ret; + } + + return ( elem[ name ] = value ); + } + + if ( hooks && "get" in hooks && ( ret = hooks.get( elem, name ) ) !== null ) { + return ret; + } + + return elem[ name ]; + }, + + propHooks: { + tabIndex: { + get: function( elem ) { + + // Support: IE <=9 - 11 only + // elem.tabIndex doesn't always return the + // correct value when it hasn't been explicitly set + // https://web.archive.org/web/20141116233347/http://fluidproject.org/blog/2008/01/09/getting-setting-and-removing-tabindex-values-with-javascript/ + // Use proper attribute retrieval(#12072) + var tabindex = jQuery.find.attr( elem, "tabindex" ); + + if ( tabindex ) { + return parseInt( tabindex, 10 ); + } + + if ( + rfocusable.test( elem.nodeName ) || + rclickable.test( elem.nodeName ) && + elem.href + ) { + return 0; + } + + return -1; + } + } + }, + + propFix: { + "for": "htmlFor", + "class": "className" + } +} ); + +// Support: IE <=11 only +// Accessing the selectedIndex property +// forces the browser to respect setting selected +// on the option +// The getter ensures a default option is selected +// when in an optgroup +// eslint rule "no-unused-expressions" is disabled for this code +// since it considers such accessions noop +if ( !support.optSelected ) { + jQuery.propHooks.selected = { + get: function( elem ) { + + /* eslint no-unused-expressions: "off" */ + + var parent = elem.parentNode; + if ( parent && parent.parentNode ) { + parent.parentNode.selectedIndex; + } + return null; + }, + set: function( elem ) { + + /* eslint no-unused-expressions: "off" */ + + var parent = elem.parentNode; + if ( parent ) { + parent.selectedIndex; + + if ( parent.parentNode ) { + parent.parentNode.selectedIndex; + } + } + } + }; +} + +jQuery.each( [ + "tabIndex", + "readOnly", + "maxLength", + "cellSpacing", + "cellPadding", + "rowSpan", + "colSpan", + "useMap", + "frameBorder", + "contentEditable" +], function() { + jQuery.propFix[ this.toLowerCase() ] = this; +} ); + + + + + // Strip and collapse whitespace according to HTML spec + // https://infra.spec.whatwg.org/#strip-and-collapse-ascii-whitespace + function stripAndCollapse( value ) { + var tokens = value.match( rnothtmlwhite ) || []; + return tokens.join( " " ); + } + + +function getClass( elem ) { + return elem.getAttribute && elem.getAttribute( "class" ) || ""; +} + +function classesToArray( value ) { + if ( Array.isArray( value ) ) { + return value; + } + if ( typeof value === "string" ) { + return value.match( rnothtmlwhite ) || []; + } + return []; +} + +jQuery.fn.extend( { + addClass: function( value ) { + var classes, elem, cur, curValue, clazz, j, finalValue, + i = 0; + + if ( isFunction( value ) ) { + return this.each( function( j ) { + jQuery( this ).addClass( value.call( this, j, getClass( this ) ) ); + } ); + } + + classes = classesToArray( value ); + + if ( classes.length ) { + while ( ( elem = this[ i++ ] ) ) { + curValue = getClass( elem ); + cur = elem.nodeType === 1 && ( " " + stripAndCollapse( curValue ) + " " ); + + if ( cur ) { + j = 0; + while ( ( clazz = classes[ j++ ] ) ) { + if ( cur.indexOf( " " + clazz + " " ) < 0 ) { + cur += clazz + " "; + } + } + + // Only assign if different to avoid unneeded rendering. + finalValue = stripAndCollapse( cur ); + if ( curValue !== finalValue ) { + elem.setAttribute( "class", finalValue ); + } + } + } + } + + return this; + }, + + removeClass: function( value ) { + var classes, elem, cur, curValue, clazz, j, finalValue, + i = 0; + + if ( isFunction( value ) ) { + return this.each( function( j ) { + jQuery( this ).removeClass( value.call( this, j, getClass( this ) ) ); + } ); + } + + if ( !arguments.length ) { + return this.attr( "class", "" ); + } + + classes = classesToArray( value ); + + if ( classes.length ) { + while ( ( elem = this[ i++ ] ) ) { + curValue = getClass( elem ); + + // This expression is here for better compressibility (see addClass) + cur = elem.nodeType === 1 && ( " " + stripAndCollapse( curValue ) + " " ); + + if ( cur ) { + j = 0; + while ( ( clazz = classes[ j++ ] ) ) { + + // Remove *all* instances + while ( cur.indexOf( " " + clazz + " " ) > -1 ) { + cur = cur.replace( " " + clazz + " ", " " ); + } + } + + // Only assign if different to avoid unneeded rendering. + finalValue = stripAndCollapse( cur ); + if ( curValue !== finalValue ) { + elem.setAttribute( "class", finalValue ); + } + } + } + } + + return this; + }, + + toggleClass: function( value, stateVal ) { + var type = typeof value, + isValidValue = type === "string" || Array.isArray( value ); + + if ( typeof stateVal === "boolean" && isValidValue ) { + return stateVal ? this.addClass( value ) : this.removeClass( value ); + } + + if ( isFunction( value ) ) { + return this.each( function( i ) { + jQuery( this ).toggleClass( + value.call( this, i, getClass( this ), stateVal ), + stateVal + ); + } ); + } + + return this.each( function() { + var className, i, self, classNames; + + if ( isValidValue ) { + + // Toggle individual class names + i = 0; + self = jQuery( this ); + classNames = classesToArray( value ); + + while ( ( className = classNames[ i++ ] ) ) { + + // Check each className given, space separated list + if ( self.hasClass( className ) ) { + self.removeClass( className ); + } else { + self.addClass( className ); + } + } + + // Toggle whole class name + } else if ( value === undefined || type === "boolean" ) { + className = getClass( this ); + if ( className ) { + + // Store className if set + dataPriv.set( this, "__className__", className ); + } + + // If the element has a class name or if we're passed `false`, + // then remove the whole classname (if there was one, the above saved it). + // Otherwise bring back whatever was previously saved (if anything), + // falling back to the empty string if nothing was stored. + if ( this.setAttribute ) { + this.setAttribute( "class", + className || value === false ? + "" : + dataPriv.get( this, "__className__" ) || "" + ); + } + } + } ); + }, + + hasClass: function( selector ) { + var className, elem, + i = 0; + + className = " " + selector + " "; + while ( ( elem = this[ i++ ] ) ) { + if ( elem.nodeType === 1 && + ( " " + stripAndCollapse( getClass( elem ) ) + " " ).indexOf( className ) > -1 ) { + return true; + } + } + + return false; + } +} ); + + + + +var rreturn = /\r/g; + +jQuery.fn.extend( { + val: function( value ) { + var hooks, ret, valueIsFunction, + elem = this[ 0 ]; + + if ( !arguments.length ) { + if ( elem ) { + hooks = jQuery.valHooks[ elem.type ] || + jQuery.valHooks[ elem.nodeName.toLowerCase() ]; + + if ( hooks && + "get" in hooks && + ( ret = hooks.get( elem, "value" ) ) !== undefined + ) { + return ret; + } + + ret = elem.value; + + // Handle most common string cases + if ( typeof ret === "string" ) { + return ret.replace( rreturn, "" ); + } + + // Handle cases where value is null/undef or number + return ret == null ? "" : ret; + } + + return; + } + + valueIsFunction = isFunction( value ); + + return this.each( function( i ) { + var val; + + if ( this.nodeType !== 1 ) { + return; + } + + if ( valueIsFunction ) { + val = value.call( this, i, jQuery( this ).val() ); + } else { + val = value; + } + + // Treat null/undefined as ""; convert numbers to string + if ( val == null ) { + val = ""; + + } else if ( typeof val === "number" ) { + val += ""; + + } else if ( Array.isArray( val ) ) { + val = jQuery.map( val, function( value ) { + return value == null ? "" : value + ""; + } ); + } + + hooks = jQuery.valHooks[ this.type ] || jQuery.valHooks[ this.nodeName.toLowerCase() ]; + + // If set returns undefined, fall back to normal setting + if ( !hooks || !( "set" in hooks ) || hooks.set( this, val, "value" ) === undefined ) { + this.value = val; + } + } ); + } +} ); + +jQuery.extend( { + valHooks: { + option: { + get: function( elem ) { + + var val = jQuery.find.attr( elem, "value" ); + return val != null ? + val : + + // Support: IE <=10 - 11 only + // option.text throws exceptions (#14686, #14858) + // Strip and collapse whitespace + // https://html.spec.whatwg.org/#strip-and-collapse-whitespace + stripAndCollapse( jQuery.text( elem ) ); + } + }, + select: { + get: function( elem ) { + var value, option, i, + options = elem.options, + index = elem.selectedIndex, + one = elem.type === "select-one", + values = one ? null : [], + max = one ? index + 1 : options.length; + + if ( index < 0 ) { + i = max; + + } else { + i = one ? index : 0; + } + + // Loop through all the selected options + for ( ; i < max; i++ ) { + option = options[ i ]; + + // Support: IE <=9 only + // IE8-9 doesn't update selected after form reset (#2551) + if ( ( option.selected || i === index ) && + + // Don't return options that are disabled or in a disabled optgroup + !option.disabled && + ( !option.parentNode.disabled || + !nodeName( option.parentNode, "optgroup" ) ) ) { + + // Get the specific value for the option + value = jQuery( option ).val(); + + // We don't need an array for one selects + if ( one ) { + return value; + } + + // Multi-Selects return an array + values.push( value ); + } + } + + return values; + }, + + set: function( elem, value ) { + var optionSet, option, + options = elem.options, + values = jQuery.makeArray( value ), + i = options.length; + + while ( i-- ) { + option = options[ i ]; + + /* eslint-disable no-cond-assign */ + + if ( option.selected = + jQuery.inArray( jQuery.valHooks.option.get( option ), values ) > -1 + ) { + optionSet = true; + } + + /* eslint-enable no-cond-assign */ + } + + // Force browsers to behave consistently when non-matching value is set + if ( !optionSet ) { + elem.selectedIndex = -1; + } + return values; + } + } + } +} ); + +// Radios and checkboxes getter/setter +jQuery.each( [ "radio", "checkbox" ], function() { + jQuery.valHooks[ this ] = { + set: function( elem, value ) { + if ( Array.isArray( value ) ) { + return ( elem.checked = jQuery.inArray( jQuery( elem ).val(), value ) > -1 ); + } + } + }; + if ( !support.checkOn ) { + jQuery.valHooks[ this ].get = function( elem ) { + return elem.getAttribute( "value" ) === null ? "on" : elem.value; + }; + } +} ); + + + + +// Return jQuery for attributes-only inclusion + + +support.focusin = "onfocusin" in window; + + +var rfocusMorph = /^(?:focusinfocus|focusoutblur)$/, + stopPropagationCallback = function( e ) { + e.stopPropagation(); + }; + +jQuery.extend( jQuery.event, { + + trigger: function( event, data, elem, onlyHandlers ) { + + var i, cur, tmp, bubbleType, ontype, handle, special, lastElement, + eventPath = [ elem || document ], + type = hasOwn.call( event, "type" ) ? event.type : event, + namespaces = hasOwn.call( event, "namespace" ) ? event.namespace.split( "." ) : []; + + cur = lastElement = tmp = elem = elem || document; + + // Don't do events on text and comment nodes + if ( elem.nodeType === 3 || elem.nodeType === 8 ) { + return; + } + + // focus/blur morphs to focusin/out; ensure we're not firing them right now + if ( rfocusMorph.test( type + jQuery.event.triggered ) ) { + return; + } + + if ( type.indexOf( "." ) > -1 ) { + + // Namespaced trigger; create a regexp to match event type in handle() + namespaces = type.split( "." ); + type = namespaces.shift(); + namespaces.sort(); + } + ontype = type.indexOf( ":" ) < 0 && "on" + type; + + // Caller can pass in a jQuery.Event object, Object, or just an event type string + event = event[ jQuery.expando ] ? + event : + new jQuery.Event( type, typeof event === "object" && event ); + + // Trigger bitmask: & 1 for native handlers; & 2 for jQuery (always true) + event.isTrigger = onlyHandlers ? 2 : 3; + event.namespace = namespaces.join( "." ); + event.rnamespace = event.namespace ? + new RegExp( "(^|\\.)" + namespaces.join( "\\.(?:.*\\.|)" ) + "(\\.|$)" ) : + null; + + // Clean up the event in case it is being reused + event.result = undefined; + if ( !event.target ) { + event.target = elem; + } + + // Clone any incoming data and prepend the event, creating the handler arg list + data = data == null ? + [ event ] : + jQuery.makeArray( data, [ event ] ); + + // Allow special events to draw outside the lines + special = jQuery.event.special[ type ] || {}; + if ( !onlyHandlers && special.trigger && special.trigger.apply( elem, data ) === false ) { + return; + } + + // Determine event propagation path in advance, per W3C events spec (#9951) + // Bubble up to document, then to window; watch for a global ownerDocument var (#9724) + if ( !onlyHandlers && !special.noBubble && !isWindow( elem ) ) { + + bubbleType = special.delegateType || type; + if ( !rfocusMorph.test( bubbleType + type ) ) { + cur = cur.parentNode; + } + for ( ; cur; cur = cur.parentNode ) { + eventPath.push( cur ); + tmp = cur; + } + + // Only add window if we got to document (e.g., not plain obj or detached DOM) + if ( tmp === ( elem.ownerDocument || document ) ) { + eventPath.push( tmp.defaultView || tmp.parentWindow || window ); + } + } + + // Fire handlers on the event path + i = 0; + while ( ( cur = eventPath[ i++ ] ) && !event.isPropagationStopped() ) { + lastElement = cur; + event.type = i > 1 ? + bubbleType : + special.bindType || type; + + // jQuery handler + handle = ( dataPriv.get( cur, "events" ) || Object.create( null ) )[ event.type ] && + dataPriv.get( cur, "handle" ); + if ( handle ) { + handle.apply( cur, data ); + } + + // Native handler + handle = ontype && cur[ ontype ]; + if ( handle && handle.apply && acceptData( cur ) ) { + event.result = handle.apply( cur, data ); + if ( event.result === false ) { + event.preventDefault(); + } + } + } + event.type = type; + + // If nobody prevented the default action, do it now + if ( !onlyHandlers && !event.isDefaultPrevented() ) { + + if ( ( !special._default || + special._default.apply( eventPath.pop(), data ) === false ) && + acceptData( elem ) ) { + + // Call a native DOM method on the target with the same name as the event. + // Don't do default actions on window, that's where global variables be (#6170) + if ( ontype && isFunction( elem[ type ] ) && !isWindow( elem ) ) { + + // Don't re-trigger an onFOO event when we call its FOO() method + tmp = elem[ ontype ]; + + if ( tmp ) { + elem[ ontype ] = null; + } + + // Prevent re-triggering of the same event, since we already bubbled it above + jQuery.event.triggered = type; + + if ( event.isPropagationStopped() ) { + lastElement.addEventListener( type, stopPropagationCallback ); + } + + elem[ type ](); + + if ( event.isPropagationStopped() ) { + lastElement.removeEventListener( type, stopPropagationCallback ); + } + + jQuery.event.triggered = undefined; + + if ( tmp ) { + elem[ ontype ] = tmp; + } + } + } + } + + return event.result; + }, + + // Piggyback on a donor event to simulate a different one + // Used only for `focus(in | out)` events + simulate: function( type, elem, event ) { + var e = jQuery.extend( + new jQuery.Event(), + event, + { + type: type, + isSimulated: true + } + ); + + jQuery.event.trigger( e, null, elem ); + } + +} ); + +jQuery.fn.extend( { + + trigger: function( type, data ) { + return this.each( function() { + jQuery.event.trigger( type, data, this ); + } ); + }, + triggerHandler: function( type, data ) { + var elem = this[ 0 ]; + if ( elem ) { + return jQuery.event.trigger( type, data, elem, true ); + } + } +} ); + + +// Support: Firefox <=44 +// Firefox doesn't have focus(in | out) events +// Related ticket - https://bugzilla.mozilla.org/show_bug.cgi?id=687787 +// +// Support: Chrome <=48 - 49, Safari <=9.0 - 9.1 +// focus(in | out) events fire after focus & blur events, +// which is spec violation - http://www.w3.org/TR/DOM-Level-3-Events/#events-focusevent-event-order +// Related ticket - https://bugs.chromium.org/p/chromium/issues/detail?id=449857 +if ( !support.focusin ) { + jQuery.each( { focus: "focusin", blur: "focusout" }, function( orig, fix ) { + + // Attach a single capturing handler on the document while someone wants focusin/focusout + var handler = function( event ) { + jQuery.event.simulate( fix, event.target, jQuery.event.fix( event ) ); + }; + + jQuery.event.special[ fix ] = { + setup: function() { + + // Handle: regular nodes (via `this.ownerDocument`), window + // (via `this.document`) & document (via `this`). + var doc = this.ownerDocument || this.document || this, + attaches = dataPriv.access( doc, fix ); + + if ( !attaches ) { + doc.addEventListener( orig, handler, true ); + } + dataPriv.access( doc, fix, ( attaches || 0 ) + 1 ); + }, + teardown: function() { + var doc = this.ownerDocument || this.document || this, + attaches = dataPriv.access( doc, fix ) - 1; + + if ( !attaches ) { + doc.removeEventListener( orig, handler, true ); + dataPriv.remove( doc, fix ); + + } else { + dataPriv.access( doc, fix, attaches ); + } + } + }; + } ); +} +var location = window.location; + +var nonce = { guid: Date.now() }; + +var rquery = ( /\?/ ); + + + +// Cross-browser xml parsing +jQuery.parseXML = function( data ) { + var xml, parserErrorElem; + if ( !data || typeof data !== "string" ) { + return null; + } + + // Support: IE 9 - 11 only + // IE throws on parseFromString with invalid input. + try { + xml = ( new window.DOMParser() ).parseFromString( data, "text/xml" ); + } catch ( e ) {} + + parserErrorElem = xml && xml.getElementsByTagName( "parsererror" )[ 0 ]; + if ( !xml || parserErrorElem ) { + jQuery.error( "Invalid XML: " + ( + parserErrorElem ? + jQuery.map( parserErrorElem.childNodes, function( el ) { + return el.textContent; + } ).join( "\n" ) : + data + ) ); + } + return xml; +}; + + +var + rbracket = /\[\]$/, + rCRLF = /\r?\n/g, + rsubmitterTypes = /^(?:submit|button|image|reset|file)$/i, + rsubmittable = /^(?:input|select|textarea|keygen)/i; + +function buildParams( prefix, obj, traditional, add ) { + var name; + + if ( Array.isArray( obj ) ) { + + // Serialize array item. + jQuery.each( obj, function( i, v ) { + if ( traditional || rbracket.test( prefix ) ) { + + // Treat each array item as a scalar. + add( prefix, v ); + + } else { + + // Item is non-scalar (array or object), encode its numeric index. + buildParams( + prefix + "[" + ( typeof v === "object" && v != null ? i : "" ) + "]", + v, + traditional, + add + ); + } + } ); + + } else if ( !traditional && toType( obj ) === "object" ) { + + // Serialize object item. + for ( name in obj ) { + buildParams( prefix + "[" + name + "]", obj[ name ], traditional, add ); + } + + } else { + + // Serialize scalar item. + add( prefix, obj ); + } +} + +// Serialize an array of form elements or a set of +// key/values into a query string +jQuery.param = function( a, traditional ) { + var prefix, + s = [], + add = function( key, valueOrFunction ) { + + // If value is a function, invoke it and use its return value + var value = isFunction( valueOrFunction ) ? + valueOrFunction() : + valueOrFunction; + + s[ s.length ] = encodeURIComponent( key ) + "=" + + encodeURIComponent( value == null ? "" : value ); + }; + + if ( a == null ) { + return ""; + } + + // If an array was passed in, assume that it is an array of form elements. + if ( Array.isArray( a ) || ( a.jquery && !jQuery.isPlainObject( a ) ) ) { + + // Serialize the form elements + jQuery.each( a, function() { + add( this.name, this.value ); + } ); + + } else { + + // If traditional, encode the "old" way (the way 1.3.2 or older + // did it), otherwise encode params recursively. + for ( prefix in a ) { + buildParams( prefix, a[ prefix ], traditional, add ); + } + } + + // Return the resulting serialization + return s.join( "&" ); +}; + +jQuery.fn.extend( { + serialize: function() { + return jQuery.param( this.serializeArray() ); + }, + serializeArray: function() { + return this.map( function() { + + // Can add propHook for "elements" to filter or add form elements + var elements = jQuery.prop( this, "elements" ); + return elements ? jQuery.makeArray( elements ) : this; + } ).filter( function() { + var type = this.type; + + // Use .is( ":disabled" ) so that fieldset[disabled] works + return this.name && !jQuery( this ).is( ":disabled" ) && + rsubmittable.test( this.nodeName ) && !rsubmitterTypes.test( type ) && + ( this.checked || !rcheckableType.test( type ) ); + } ).map( function( _i, elem ) { + var val = jQuery( this ).val(); + + if ( val == null ) { + return null; + } + + if ( Array.isArray( val ) ) { + return jQuery.map( val, function( val ) { + return { name: elem.name, value: val.replace( rCRLF, "\r\n" ) }; + } ); + } + + return { name: elem.name, value: val.replace( rCRLF, "\r\n" ) }; + } ).get(); + } +} ); + + +var + r20 = /%20/g, + rhash = /#.*$/, + rantiCache = /([?&])_=[^&]*/, + rheaders = /^(.*?):[ \t]*([^\r\n]*)$/mg, + + // #7653, #8125, #8152: local protocol detection + rlocalProtocol = /^(?:about|app|app-storage|.+-extension|file|res|widget):$/, + rnoContent = /^(?:GET|HEAD)$/, + rprotocol = /^\/\//, + + /* Prefilters + * 1) They are useful to introduce custom dataTypes (see ajax/jsonp.js for an example) + * 2) These are called: + * - BEFORE asking for a transport + * - AFTER param serialization (s.data is a string if s.processData is true) + * 3) key is the dataType + * 4) the catchall symbol "*" can be used + * 5) execution will start with transport dataType and THEN continue down to "*" if needed + */ + prefilters = {}, + + /* Transports bindings + * 1) key is the dataType + * 2) the catchall symbol "*" can be used + * 3) selection will start with transport dataType and THEN go to "*" if needed + */ + transports = {}, + + // Avoid comment-prolog char sequence (#10098); must appease lint and evade compression + allTypes = "*/".concat( "*" ), + + // Anchor tag for parsing the document origin + originAnchor = document.createElement( "a" ); + +originAnchor.href = location.href; + +// Base "constructor" for jQuery.ajaxPrefilter and jQuery.ajaxTransport +function addToPrefiltersOrTransports( structure ) { + + // dataTypeExpression is optional and defaults to "*" + return function( dataTypeExpression, func ) { + + if ( typeof dataTypeExpression !== "string" ) { + func = dataTypeExpression; + dataTypeExpression = "*"; + } + + var dataType, + i = 0, + dataTypes = dataTypeExpression.toLowerCase().match( rnothtmlwhite ) || []; + + if ( isFunction( func ) ) { + + // For each dataType in the dataTypeExpression + while ( ( dataType = dataTypes[ i++ ] ) ) { + + // Prepend if requested + if ( dataType[ 0 ] === "+" ) { + dataType = dataType.slice( 1 ) || "*"; + ( structure[ dataType ] = structure[ dataType ] || [] ).unshift( func ); + + // Otherwise append + } else { + ( structure[ dataType ] = structure[ dataType ] || [] ).push( func ); + } + } + } + }; +} + +// Base inspection function for prefilters and transports +function inspectPrefiltersOrTransports( structure, options, originalOptions, jqXHR ) { + + var inspected = {}, + seekingTransport = ( structure === transports ); + + function inspect( dataType ) { + var selected; + inspected[ dataType ] = true; + jQuery.each( structure[ dataType ] || [], function( _, prefilterOrFactory ) { + var dataTypeOrTransport = prefilterOrFactory( options, originalOptions, jqXHR ); + if ( typeof dataTypeOrTransport === "string" && + !seekingTransport && !inspected[ dataTypeOrTransport ] ) { + + options.dataTypes.unshift( dataTypeOrTransport ); + inspect( dataTypeOrTransport ); + return false; + } else if ( seekingTransport ) { + return !( selected = dataTypeOrTransport ); + } + } ); + return selected; + } + + return inspect( options.dataTypes[ 0 ] ) || !inspected[ "*" ] && inspect( "*" ); +} + +// A special extend for ajax options +// that takes "flat" options (not to be deep extended) +// Fixes #9887 +function ajaxExtend( target, src ) { + var key, deep, + flatOptions = jQuery.ajaxSettings.flatOptions || {}; + + for ( key in src ) { + if ( src[ key ] !== undefined ) { + ( flatOptions[ key ] ? target : ( deep || ( deep = {} ) ) )[ key ] = src[ key ]; + } + } + if ( deep ) { + jQuery.extend( true, target, deep ); + } + + return target; +} + +/* Handles responses to an ajax request: + * - finds the right dataType (mediates between content-type and expected dataType) + * - returns the corresponding response + */ +function ajaxHandleResponses( s, jqXHR, responses ) { + + var ct, type, finalDataType, firstDataType, + contents = s.contents, + dataTypes = s.dataTypes; + + // Remove auto dataType and get content-type in the process + while ( dataTypes[ 0 ] === "*" ) { + dataTypes.shift(); + if ( ct === undefined ) { + ct = s.mimeType || jqXHR.getResponseHeader( "Content-Type" ); + } + } + + // Check if we're dealing with a known content-type + if ( ct ) { + for ( type in contents ) { + if ( contents[ type ] && contents[ type ].test( ct ) ) { + dataTypes.unshift( type ); + break; + } + } + } + + // Check to see if we have a response for the expected dataType + if ( dataTypes[ 0 ] in responses ) { + finalDataType = dataTypes[ 0 ]; + } else { + + // Try convertible dataTypes + for ( type in responses ) { + if ( !dataTypes[ 0 ] || s.converters[ type + " " + dataTypes[ 0 ] ] ) { + finalDataType = type; + break; + } + if ( !firstDataType ) { + firstDataType = type; + } + } + + // Or just use first one + finalDataType = finalDataType || firstDataType; + } + + // If we found a dataType + // We add the dataType to the list if needed + // and return the corresponding response + if ( finalDataType ) { + if ( finalDataType !== dataTypes[ 0 ] ) { + dataTypes.unshift( finalDataType ); + } + return responses[ finalDataType ]; + } +} + +/* Chain conversions given the request and the original response + * Also sets the responseXXX fields on the jqXHR instance + */ +function ajaxConvert( s, response, jqXHR, isSuccess ) { + var conv2, current, conv, tmp, prev, + converters = {}, + + // Work with a copy of dataTypes in case we need to modify it for conversion + dataTypes = s.dataTypes.slice(); + + // Create converters map with lowercased keys + if ( dataTypes[ 1 ] ) { + for ( conv in s.converters ) { + converters[ conv.toLowerCase() ] = s.converters[ conv ]; + } + } + + current = dataTypes.shift(); + + // Convert to each sequential dataType + while ( current ) { + + if ( s.responseFields[ current ] ) { + jqXHR[ s.responseFields[ current ] ] = response; + } + + // Apply the dataFilter if provided + if ( !prev && isSuccess && s.dataFilter ) { + response = s.dataFilter( response, s.dataType ); + } + + prev = current; + current = dataTypes.shift(); + + if ( current ) { + + // There's only work to do if current dataType is non-auto + if ( current === "*" ) { + + current = prev; + + // Convert response if prev dataType is non-auto and differs from current + } else if ( prev !== "*" && prev !== current ) { + + // Seek a direct converter + conv = converters[ prev + " " + current ] || converters[ "* " + current ]; + + // If none found, seek a pair + if ( !conv ) { + for ( conv2 in converters ) { + + // If conv2 outputs current + tmp = conv2.split( " " ); + if ( tmp[ 1 ] === current ) { + + // If prev can be converted to accepted input + conv = converters[ prev + " " + tmp[ 0 ] ] || + converters[ "* " + tmp[ 0 ] ]; + if ( conv ) { + + // Condense equivalence converters + if ( conv === true ) { + conv = converters[ conv2 ]; + + // Otherwise, insert the intermediate dataType + } else if ( converters[ conv2 ] !== true ) { + current = tmp[ 0 ]; + dataTypes.unshift( tmp[ 1 ] ); + } + break; + } + } + } + } + + // Apply converter (if not an equivalence) + if ( conv !== true ) { + + // Unless errors are allowed to bubble, catch and return them + if ( conv && s.throws ) { + response = conv( response ); + } else { + try { + response = conv( response ); + } catch ( e ) { + return { + state: "parsererror", + error: conv ? e : "No conversion from " + prev + " to " + current + }; + } + } + } + } + } + } + + return { state: "success", data: response }; +} + +jQuery.extend( { + + // Counter for holding the number of active queries + active: 0, + + // Last-Modified header cache for next request + lastModified: {}, + etag: {}, + + ajaxSettings: { + url: location.href, + type: "GET", + isLocal: rlocalProtocol.test( location.protocol ), + global: true, + processData: true, + async: true, + contentType: "application/x-www-form-urlencoded; charset=UTF-8", + + /* + timeout: 0, + data: null, + dataType: null, + username: null, + password: null, + cache: null, + throws: false, + traditional: false, + headers: {}, + */ + + accepts: { + "*": allTypes, + text: "text/plain", + html: "text/html", + xml: "application/xml, text/xml", + json: "application/json, text/javascript" + }, + + contents: { + xml: /\bxml\b/, + html: /\bhtml/, + json: /\bjson\b/ + }, + + responseFields: { + xml: "responseXML", + text: "responseText", + json: "responseJSON" + }, + + // Data converters + // Keys separate source (or catchall "*") and destination types with a single space + converters: { + + // Convert anything to text + "* text": String, + + // Text to html (true = no transformation) + "text html": true, + + // Evaluate text as a json expression + "text json": JSON.parse, + + // Parse text as xml + "text xml": jQuery.parseXML + }, + + // For options that shouldn't be deep extended: + // you can add your own custom options here if + // and when you create one that shouldn't be + // deep extended (see ajaxExtend) + flatOptions: { + url: true, + context: true + } + }, + + // Creates a full fledged settings object into target + // with both ajaxSettings and settings fields. + // If target is omitted, writes into ajaxSettings. + ajaxSetup: function( target, settings ) { + return settings ? + + // Building a settings object + ajaxExtend( ajaxExtend( target, jQuery.ajaxSettings ), settings ) : + + // Extending ajaxSettings + ajaxExtend( jQuery.ajaxSettings, target ); + }, + + ajaxPrefilter: addToPrefiltersOrTransports( prefilters ), + ajaxTransport: addToPrefiltersOrTransports( transports ), + + // Main method + ajax: function( url, options ) { + + // If url is an object, simulate pre-1.5 signature + if ( typeof url === "object" ) { + options = url; + url = undefined; + } + + // Force options to be an object + options = options || {}; + + var transport, + + // URL without anti-cache param + cacheURL, + + // Response headers + responseHeadersString, + responseHeaders, + + // timeout handle + timeoutTimer, + + // Url cleanup var + urlAnchor, + + // Request state (becomes false upon send and true upon completion) + completed, + + // To know if global events are to be dispatched + fireGlobals, + + // Loop variable + i, + + // uncached part of the url + uncached, + + // Create the final options object + s = jQuery.ajaxSetup( {}, options ), + + // Callbacks context + callbackContext = s.context || s, + + // Context for global events is callbackContext if it is a DOM node or jQuery collection + globalEventContext = s.context && + ( callbackContext.nodeType || callbackContext.jquery ) ? + jQuery( callbackContext ) : + jQuery.event, + + // Deferreds + deferred = jQuery.Deferred(), + completeDeferred = jQuery.Callbacks( "once memory" ), + + // Status-dependent callbacks + statusCode = s.statusCode || {}, + + // Headers (they are sent all at once) + requestHeaders = {}, + requestHeadersNames = {}, + + // Default abort message + strAbort = "canceled", + + // Fake xhr + jqXHR = { + readyState: 0, + + // Builds headers hashtable if needed + getResponseHeader: function( key ) { + var match; + if ( completed ) { + if ( !responseHeaders ) { + responseHeaders = {}; + while ( ( match = rheaders.exec( responseHeadersString ) ) ) { + responseHeaders[ match[ 1 ].toLowerCase() + " " ] = + ( responseHeaders[ match[ 1 ].toLowerCase() + " " ] || [] ) + .concat( match[ 2 ] ); + } + } + match = responseHeaders[ key.toLowerCase() + " " ]; + } + return match == null ? null : match.join( ", " ); + }, + + // Raw string + getAllResponseHeaders: function() { + return completed ? responseHeadersString : null; + }, + + // Caches the header + setRequestHeader: function( name, value ) { + if ( completed == null ) { + name = requestHeadersNames[ name.toLowerCase() ] = + requestHeadersNames[ name.toLowerCase() ] || name; + requestHeaders[ name ] = value; + } + return this; + }, + + // Overrides response content-type header + overrideMimeType: function( type ) { + if ( completed == null ) { + s.mimeType = type; + } + return this; + }, + + // Status-dependent callbacks + statusCode: function( map ) { + var code; + if ( map ) { + if ( completed ) { + + // Execute the appropriate callbacks + jqXHR.always( map[ jqXHR.status ] ); + } else { + + // Lazy-add the new callbacks in a way that preserves old ones + for ( code in map ) { + statusCode[ code ] = [ statusCode[ code ], map[ code ] ]; + } + } + } + return this; + }, + + // Cancel the request + abort: function( statusText ) { + var finalText = statusText || strAbort; + if ( transport ) { + transport.abort( finalText ); + } + done( 0, finalText ); + return this; + } + }; + + // Attach deferreds + deferred.promise( jqXHR ); + + // Add protocol if not provided (prefilters might expect it) + // Handle falsy url in the settings object (#10093: consistency with old signature) + // We also use the url parameter if available + s.url = ( ( url || s.url || location.href ) + "" ) + .replace( rprotocol, location.protocol + "//" ); + + // Alias method option to type as per ticket #12004 + s.type = options.method || options.type || s.method || s.type; + + // Extract dataTypes list + s.dataTypes = ( s.dataType || "*" ).toLowerCase().match( rnothtmlwhite ) || [ "" ]; + + // A cross-domain request is in order when the origin doesn't match the current origin. + if ( s.crossDomain == null ) { + urlAnchor = document.createElement( "a" ); + + // Support: IE <=8 - 11, Edge 12 - 15 + // IE throws exception on accessing the href property if url is malformed, + // e.g. http://example.com:80x/ + try { + urlAnchor.href = s.url; + + // Support: IE <=8 - 11 only + // Anchor's host property isn't correctly set when s.url is relative + urlAnchor.href = urlAnchor.href; + s.crossDomain = originAnchor.protocol + "//" + originAnchor.host !== + urlAnchor.protocol + "//" + urlAnchor.host; + } catch ( e ) { + + // If there is an error parsing the URL, assume it is crossDomain, + // it can be rejected by the transport if it is invalid + s.crossDomain = true; + } + } + + // Convert data if not already a string + if ( s.data && s.processData && typeof s.data !== "string" ) { + s.data = jQuery.param( s.data, s.traditional ); + } + + // Apply prefilters + inspectPrefiltersOrTransports( prefilters, s, options, jqXHR ); + + // If request was aborted inside a prefilter, stop there + if ( completed ) { + return jqXHR; + } + + // We can fire global events as of now if asked to + // Don't fire events if jQuery.event is undefined in an AMD-usage scenario (#15118) + fireGlobals = jQuery.event && s.global; + + // Watch for a new set of requests + if ( fireGlobals && jQuery.active++ === 0 ) { + jQuery.event.trigger( "ajaxStart" ); + } + + // Uppercase the type + s.type = s.type.toUpperCase(); + + // Determine if request has content + s.hasContent = !rnoContent.test( s.type ); + + // Save the URL in case we're toying with the If-Modified-Since + // and/or If-None-Match header later on + // Remove hash to simplify url manipulation + cacheURL = s.url.replace( rhash, "" ); + + // More options handling for requests with no content + if ( !s.hasContent ) { + + // Remember the hash so we can put it back + uncached = s.url.slice( cacheURL.length ); + + // If data is available and should be processed, append data to url + if ( s.data && ( s.processData || typeof s.data === "string" ) ) { + cacheURL += ( rquery.test( cacheURL ) ? "&" : "?" ) + s.data; + + // #9682: remove data so that it's not used in an eventual retry + delete s.data; + } + + // Add or update anti-cache param if needed + if ( s.cache === false ) { + cacheURL = cacheURL.replace( rantiCache, "$1" ); + uncached = ( rquery.test( cacheURL ) ? "&" : "?" ) + "_=" + ( nonce.guid++ ) + + uncached; + } + + // Put hash and anti-cache on the URL that will be requested (gh-1732) + s.url = cacheURL + uncached; + + // Change '%20' to '+' if this is encoded form body content (gh-2658) + } else if ( s.data && s.processData && + ( s.contentType || "" ).indexOf( "application/x-www-form-urlencoded" ) === 0 ) { + s.data = s.data.replace( r20, "+" ); + } + + // Set the If-Modified-Since and/or If-None-Match header, if in ifModified mode. + if ( s.ifModified ) { + if ( jQuery.lastModified[ cacheURL ] ) { + jqXHR.setRequestHeader( "If-Modified-Since", jQuery.lastModified[ cacheURL ] ); + } + if ( jQuery.etag[ cacheURL ] ) { + jqXHR.setRequestHeader( "If-None-Match", jQuery.etag[ cacheURL ] ); + } + } + + // Set the correct header, if data is being sent + if ( s.data && s.hasContent && s.contentType !== false || options.contentType ) { + jqXHR.setRequestHeader( "Content-Type", s.contentType ); + } + + // Set the Accepts header for the server, depending on the dataType + jqXHR.setRequestHeader( + "Accept", + s.dataTypes[ 0 ] && s.accepts[ s.dataTypes[ 0 ] ] ? + s.accepts[ s.dataTypes[ 0 ] ] + + ( s.dataTypes[ 0 ] !== "*" ? ", " + allTypes + "; q=0.01" : "" ) : + s.accepts[ "*" ] + ); + + // Check for headers option + for ( i in s.headers ) { + jqXHR.setRequestHeader( i, s.headers[ i ] ); + } + + // Allow custom headers/mimetypes and early abort + if ( s.beforeSend && + ( s.beforeSend.call( callbackContext, jqXHR, s ) === false || completed ) ) { + + // Abort if not done already and return + return jqXHR.abort(); + } + + // Aborting is no longer a cancellation + strAbort = "abort"; + + // Install callbacks on deferreds + completeDeferred.add( s.complete ); + jqXHR.done( s.success ); + jqXHR.fail( s.error ); + + // Get transport + transport = inspectPrefiltersOrTransports( transports, s, options, jqXHR ); + + // If no transport, we auto-abort + if ( !transport ) { + done( -1, "No Transport" ); + } else { + jqXHR.readyState = 1; + + // Send global event + if ( fireGlobals ) { + globalEventContext.trigger( "ajaxSend", [ jqXHR, s ] ); + } + + // If request was aborted inside ajaxSend, stop there + if ( completed ) { + return jqXHR; + } + + // Timeout + if ( s.async && s.timeout > 0 ) { + timeoutTimer = window.setTimeout( function() { + jqXHR.abort( "timeout" ); + }, s.timeout ); + } + + try { + completed = false; + transport.send( requestHeaders, done ); + } catch ( e ) { + + // Rethrow post-completion exceptions + if ( completed ) { + throw e; + } + + // Propagate others as results + done( -1, e ); + } + } + + // Callback for when everything is done + function done( status, nativeStatusText, responses, headers ) { + var isSuccess, success, error, response, modified, + statusText = nativeStatusText; + + // Ignore repeat invocations + if ( completed ) { + return; + } + + completed = true; + + // Clear timeout if it exists + if ( timeoutTimer ) { + window.clearTimeout( timeoutTimer ); + } + + // Dereference transport for early garbage collection + // (no matter how long the jqXHR object will be used) + transport = undefined; + + // Cache response headers + responseHeadersString = headers || ""; + + // Set readyState + jqXHR.readyState = status > 0 ? 4 : 0; + + // Determine if successful + isSuccess = status >= 200 && status < 300 || status === 304; + + // Get response data + if ( responses ) { + response = ajaxHandleResponses( s, jqXHR, responses ); + } + + // Use a noop converter for missing script but not if jsonp + if ( !isSuccess && + jQuery.inArray( "script", s.dataTypes ) > -1 && + jQuery.inArray( "json", s.dataTypes ) < 0 ) { + s.converters[ "text script" ] = function() {}; + } + + // Convert no matter what (that way responseXXX fields are always set) + response = ajaxConvert( s, response, jqXHR, isSuccess ); + + // If successful, handle type chaining + if ( isSuccess ) { + + // Set the If-Modified-Since and/or If-None-Match header, if in ifModified mode. + if ( s.ifModified ) { + modified = jqXHR.getResponseHeader( "Last-Modified" ); + if ( modified ) { + jQuery.lastModified[ cacheURL ] = modified; + } + modified = jqXHR.getResponseHeader( "etag" ); + if ( modified ) { + jQuery.etag[ cacheURL ] = modified; + } + } + + // if no content + if ( status === 204 || s.type === "HEAD" ) { + statusText = "nocontent"; + + // if not modified + } else if ( status === 304 ) { + statusText = "notmodified"; + + // If we have data, let's convert it + } else { + statusText = response.state; + success = response.data; + error = response.error; + isSuccess = !error; + } + } else { + + // Extract error from statusText and normalize for non-aborts + error = statusText; + if ( status || !statusText ) { + statusText = "error"; + if ( status < 0 ) { + status = 0; + } + } + } + + // Set data for the fake xhr object + jqXHR.status = status; + jqXHR.statusText = ( nativeStatusText || statusText ) + ""; + + // Success/Error + if ( isSuccess ) { + deferred.resolveWith( callbackContext, [ success, statusText, jqXHR ] ); + } else { + deferred.rejectWith( callbackContext, [ jqXHR, statusText, error ] ); + } + + // Status-dependent callbacks + jqXHR.statusCode( statusCode ); + statusCode = undefined; + + if ( fireGlobals ) { + globalEventContext.trigger( isSuccess ? "ajaxSuccess" : "ajaxError", + [ jqXHR, s, isSuccess ? success : error ] ); + } + + // Complete + completeDeferred.fireWith( callbackContext, [ jqXHR, statusText ] ); + + if ( fireGlobals ) { + globalEventContext.trigger( "ajaxComplete", [ jqXHR, s ] ); + + // Handle the global AJAX counter + if ( !( --jQuery.active ) ) { + jQuery.event.trigger( "ajaxStop" ); + } + } + } + + return jqXHR; + }, + + getJSON: function( url, data, callback ) { + return jQuery.get( url, data, callback, "json" ); + }, + + getScript: function( url, callback ) { + return jQuery.get( url, undefined, callback, "script" ); + } +} ); + +jQuery.each( [ "get", "post" ], function( _i, method ) { + jQuery[ method ] = function( url, data, callback, type ) { + + // Shift arguments if data argument was omitted + if ( isFunction( data ) ) { + type = type || callback; + callback = data; + data = undefined; + } + + // The url can be an options object (which then must have .url) + return jQuery.ajax( jQuery.extend( { + url: url, + type: method, + dataType: type, + data: data, + success: callback + }, jQuery.isPlainObject( url ) && url ) ); + }; +} ); + +jQuery.ajaxPrefilter( function( s ) { + var i; + for ( i in s.headers ) { + if ( i.toLowerCase() === "content-type" ) { + s.contentType = s.headers[ i ] || ""; + } + } +} ); + + +jQuery._evalUrl = function( url, options, doc ) { + return jQuery.ajax( { + url: url, + + // Make this explicit, since user can override this through ajaxSetup (#11264) + type: "GET", + dataType: "script", + cache: true, + async: false, + global: false, + + // Only evaluate the response if it is successful (gh-4126) + // dataFilter is not invoked for failure responses, so using it instead + // of the default converter is kludgy but it works. + converters: { + "text script": function() {} + }, + dataFilter: function( response ) { + jQuery.globalEval( response, options, doc ); + } + } ); +}; + + +jQuery.fn.extend( { + wrapAll: function( html ) { + var wrap; + + if ( this[ 0 ] ) { + if ( isFunction( html ) ) { + html = html.call( this[ 0 ] ); + } + + // The elements to wrap the target around + wrap = jQuery( html, this[ 0 ].ownerDocument ).eq( 0 ).clone( true ); + + if ( this[ 0 ].parentNode ) { + wrap.insertBefore( this[ 0 ] ); + } + + wrap.map( function() { + var elem = this; + + while ( elem.firstElementChild ) { + elem = elem.firstElementChild; + } + + return elem; + } ).append( this ); + } + + return this; + }, + + wrapInner: function( html ) { + if ( isFunction( html ) ) { + return this.each( function( i ) { + jQuery( this ).wrapInner( html.call( this, i ) ); + } ); + } + + return this.each( function() { + var self = jQuery( this ), + contents = self.contents(); + + if ( contents.length ) { + contents.wrapAll( html ); + + } else { + self.append( html ); + } + } ); + }, + + wrap: function( html ) { + var htmlIsFunction = isFunction( html ); + + return this.each( function( i ) { + jQuery( this ).wrapAll( htmlIsFunction ? html.call( this, i ) : html ); + } ); + }, + + unwrap: function( selector ) { + this.parent( selector ).not( "body" ).each( function() { + jQuery( this ).replaceWith( this.childNodes ); + } ); + return this; + } +} ); + + +jQuery.expr.pseudos.hidden = function( elem ) { + return !jQuery.expr.pseudos.visible( elem ); +}; +jQuery.expr.pseudos.visible = function( elem ) { + return !!( elem.offsetWidth || elem.offsetHeight || elem.getClientRects().length ); +}; + + + + +jQuery.ajaxSettings.xhr = function() { + try { + return new window.XMLHttpRequest(); + } catch ( e ) {} +}; + +var xhrSuccessStatus = { + + // File protocol always yields status code 0, assume 200 + 0: 200, + + // Support: IE <=9 only + // #1450: sometimes IE returns 1223 when it should be 204 + 1223: 204 + }, + xhrSupported = jQuery.ajaxSettings.xhr(); + +support.cors = !!xhrSupported && ( "withCredentials" in xhrSupported ); +support.ajax = xhrSupported = !!xhrSupported; + +jQuery.ajaxTransport( function( options ) { + var callback, errorCallback; + + // Cross domain only allowed if supported through XMLHttpRequest + if ( support.cors || xhrSupported && !options.crossDomain ) { + return { + send: function( headers, complete ) { + var i, + xhr = options.xhr(); + + xhr.open( + options.type, + options.url, + options.async, + options.username, + options.password + ); + + // Apply custom fields if provided + if ( options.xhrFields ) { + for ( i in options.xhrFields ) { + xhr[ i ] = options.xhrFields[ i ]; + } + } + + // Override mime type if needed + if ( options.mimeType && xhr.overrideMimeType ) { + xhr.overrideMimeType( options.mimeType ); + } + + // X-Requested-With header + // For cross-domain requests, seeing as conditions for a preflight are + // akin to a jigsaw puzzle, we simply never set it to be sure. + // (it can always be set on a per-request basis or even using ajaxSetup) + // For same-domain requests, won't change header if already provided. + if ( !options.crossDomain && !headers[ "X-Requested-With" ] ) { + headers[ "X-Requested-With" ] = "XMLHttpRequest"; + } + + // Set headers + for ( i in headers ) { + xhr.setRequestHeader( i, headers[ i ] ); + } + + // Callback + callback = function( type ) { + return function() { + if ( callback ) { + callback = errorCallback = xhr.onload = + xhr.onerror = xhr.onabort = xhr.ontimeout = + xhr.onreadystatechange = null; + + if ( type === "abort" ) { + xhr.abort(); + } else if ( type === "error" ) { + + // Support: IE <=9 only + // On a manual native abort, IE9 throws + // errors on any property access that is not readyState + if ( typeof xhr.status !== "number" ) { + complete( 0, "error" ); + } else { + complete( + + // File: protocol always yields status 0; see #8605, #14207 + xhr.status, + xhr.statusText + ); + } + } else { + complete( + xhrSuccessStatus[ xhr.status ] || xhr.status, + xhr.statusText, + + // Support: IE <=9 only + // IE9 has no XHR2 but throws on binary (trac-11426) + // For XHR2 non-text, let the caller handle it (gh-2498) + ( xhr.responseType || "text" ) !== "text" || + typeof xhr.responseText !== "string" ? + { binary: xhr.response } : + { text: xhr.responseText }, + xhr.getAllResponseHeaders() + ); + } + } + }; + }; + + // Listen to events + xhr.onload = callback(); + errorCallback = xhr.onerror = xhr.ontimeout = callback( "error" ); + + // Support: IE 9 only + // Use onreadystatechange to replace onabort + // to handle uncaught aborts + if ( xhr.onabort !== undefined ) { + xhr.onabort = errorCallback; + } else { + xhr.onreadystatechange = function() { + + // Check readyState before timeout as it changes + if ( xhr.readyState === 4 ) { + + // Allow onerror to be called first, + // but that will not handle a native abort + // Also, save errorCallback to a variable + // as xhr.onerror cannot be accessed + window.setTimeout( function() { + if ( callback ) { + errorCallback(); + } + } ); + } + }; + } + + // Create the abort callback + callback = callback( "abort" ); + + try { + + // Do send the request (this may raise an exception) + xhr.send( options.hasContent && options.data || null ); + } catch ( e ) { + + // #14683: Only rethrow if this hasn't been notified as an error yet + if ( callback ) { + throw e; + } + } + }, + + abort: function() { + if ( callback ) { + callback(); + } + } + }; + } +} ); + + + + +// Prevent auto-execution of scripts when no explicit dataType was provided (See gh-2432) +jQuery.ajaxPrefilter( function( s ) { + if ( s.crossDomain ) { + s.contents.script = false; + } +} ); + +// Install script dataType +jQuery.ajaxSetup( { + accepts: { + script: "text/javascript, application/javascript, " + + "application/ecmascript, application/x-ecmascript" + }, + contents: { + script: /\b(?:java|ecma)script\b/ + }, + converters: { + "text script": function( text ) { + jQuery.globalEval( text ); + return text; + } + } +} ); + +// Handle cache's special case and crossDomain +jQuery.ajaxPrefilter( "script", function( s ) { + if ( s.cache === undefined ) { + s.cache = false; + } + if ( s.crossDomain ) { + s.type = "GET"; + } +} ); + +// Bind script tag hack transport +jQuery.ajaxTransport( "script", function( s ) { + + // This transport only deals with cross domain or forced-by-attrs requests + if ( s.crossDomain || s.scriptAttrs ) { + var script, callback; + return { + send: function( _, complete ) { + script = jQuery( " + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Creating Merger Forests

+

Merger tree forests are created from the HACC treenode files, cf. [Rangel2020]. +The code rearranges the snapshot-by-snapshot catalog format to a convenient and +efficient tree-format. Each processed tree-file is self-contained, i.e. no trees +are split among multiple files. See Merger Forest Layout for more +information about the final product.

+

The MPI enabled python script in haccytrees/scripts/treenodes2forest.py is +the main executable which sets up the configuration and starts the conversion +routine contained in haccytrees.mergertrees.assemble.catalog2tree(). The +settings have to be provided to the script through a configuration file, see +Configuration for an example.

+

Installing the haccytrees python module (see Installation) will +add haccytrees-convert to your PATH (which is a wrapper of +treenodes2forest.py). The code can then be executed like

+
CONFIG=treenodes2forest.cfg
+mpirun -n <NPROC> haccytrees-convert ${CONFIG}
+
+
+
+

Note

+

Alternatively, you can run +mpirun -n <NPROC> python <PATH_TO_treenodes2forest.py> ${CONFIG}

+
+
+

Note

+

All treenode catalog files need to be located in a single folder. If +MergerTrees_updated is being used, this folder usually does not contain +the first snapshot. One strategy is to symlink all catalogs in +MergerTrees_updated as well as the first snapshot from the +MergerTrees folder into a new folder.

+
+
+

Routine Outline

+

The assembling of the merger forests proceeds in three main steps:

+
    +
  • distributing the halo catalogs among the MPI ranks such that each individual +tree is fully contained on a rank.

  • +
  • finding the correct ordering of the halos, corresponding to the layout +described in Merger Forest Layout.

  • +
  • writing the forests to HDF5 files.

  • +
+
+

Distributing the data

+

The rank to which a tree is assigned is determined by the position of the root +halo at the last step, i.e. \(z=0\). The partitioning of the simulation +volume is determined by the mpipartition.Partition +class, using MPI’s 3D cartesian communicator.

+

We start by distributing the halos in the final snapshot, using the abstracted +distribution function mpipartition.distribute(). We then +iterate backwards over the snapshots. The halos in each snapshot are first +distributed by their position. Afterwards, halos that may have crossed the rank +boundaries are accounted for by marking all halos that don’t have a local +descendant halo. Those halos are then communicated with the 26 directly +neighboring ranks, using a MPI graph communicator connecting each 26 +neighbor-set symmetrically. If there are still unaccounted halos left, those are +assigned using an all2all exchange. This exchange functionality is +implemented in mpipartition.exchange().

+

At each step, we also take note of the descendant halo array index in the +previous step. This information then simplifies the next step, the reordering of +the halos to form a self-contained tree.

+
+
+

Finding the halo ordering

+

After the reading and distributing phase, each rank now contains all the data it +needs to generate it’s own self-contained forest. From the descendant index +stored during the previous phase we can then determine where in the final array +each halo has to go in order to obtain the required layout.

+

In a first step, we calculate the size of each subtree, starting from the +earliest snapshot. Halos that are leaves of the tree have size 1 by definition. +We can then iteratively add the halos size to its descendant in the next +snapshot. After processing the latest snapshot, we know the size of each +self-contained trees.

+

Knowing the size of each subtree, we can then determine the halo’s position, +starting from the latest snapshot. Each root halo in the list is offset from its +previous halo by the size of that halos subtree. In the earlier snapshots, each +halo is positioned at its descendant halos position plus the subtree sizes of +the halos that have the same descendant and came earlier in the halo list. By +previously having ordered the halos in each snapshot by decreasing mass, halos +that have the same descendant halo are automatically ordered the same way.

+

After this step, we know at which array position every halo in the +snapshot-ordered catalog has to go during the next phase.

+
+
+

Writing the data

+

In order to minimize the memory requirements, all the rank-local data of each +snapshot is stored into temporary containers (see Temporary Storage). The +previous step, for example, only requires the descendant index to be in memory. +During the writing step, we now read the temporary files field-by-field, reorder +the data according to the previously determined halo ordering, and store that +field into an HDF5 dataset. By iterating over the fields individually, we only +need to keep one array in memory at a time. For the full Last Journey dataset +for example, 32 nodes were more than sufficient to process the forests.

+
+
+
+

Configuration

+

The configuration file is in the ini style (cf. configparser) containing information +about the simulation, the data location, the field names in the treenode +catalogs and the forest output, as well as some switches to optimize the +routine. See the definition of the parameters in the following example +configuration:

+
+
Example configuration for Last Journey
+
################################################################################
+# This is an example configuration for the Last Journey simulation             #
+#                                                                              #
+# The required sections are:                                                   #
+# - simulation: name of the simulation, data location                          #
+# - columns:    the naming of the columns in the treenode catalogs             #
+# - output:     the output file and the columns to store / calculate           #
+# - algorithm:  some additional switches, failure triggers, verbosity          #
+################################################################################
+
+[simulation]
+# the simulation is used to determine cosmotools steps, scale factors, etc.
+# has to be supported by haccytrees/simulations.py
+simulation         = LastJourney
+# the base-path of the treenode catalogs. The files are assumed to be named e.g.
+# ./treenodes/m000p-499.treenodes
+treenode_base      = ./treenodes/m000p-
+# alternatively, you can specify it like this: (useful for galaxymergertrees!)
+# treenode_base     = ./treenodes/m000p-#.treenodes
+
+# this flag will try to rebalance the GenericIO reading of each rank. Can be
+# faster or much slower – test!
+rebalance_gio_read = no
+
+
+[columns]
+# how the fields in the treenode catalogs are named – can change from simulation
+# to simulation, e.g. fof_halo_mean vs fof_halo_com.
+fof_halo_center_x = fof_halo_center_x
+fof_halo_center_y = fof_halo_center_y
+fof_halo_center_z = fof_halo_center_z
+fof_halo_com_x    = fof_halo_mean_x
+fof_halo_com_y    = fof_halo_mean_y
+fof_halo_com_z    = fof_halo_mean_z
+sod_halo_center_x = sod_halo_min_pot_x
+sod_halo_center_y = sod_halo_min_pot_y
+sod_halo_center_z = sod_halo_min_pot_z
+sod_halo_com_x    = sod_halo_mean_x
+sod_halo_com_y    = sod_halo_mean_y
+sod_halo_com_z    = sod_halo_mean_z
+sod_halo_mass     = sod_halo_mass
+sod_halo_radius   = sod_halo_radius
+tree_node_index   = tree_node_index
+desc_node_index   = desc_node_index
+tree_node_mass    = tree_node_mass
+
+# This determines which field is used to distribute the halos among the ranks.
+# Has to be available for all halos, e.g. not SOD positions.
+node_position_x   = fof_halo_center_x
+node_position_y   = fof_halo_center_y
+node_position_z   = fof_halo_center_z
+
+[output]
+# The base of the output files. If `split_output` is enabled, files will be
+# named e.g. `m000p.forest.001.hdf5` for rank 0.
+output_base    = m000p.forest
+# If false, haccytrees will store the forest trees in a single file. Not
+# suitable for large simulations.
+split_output   = yes
+# The base path where temporary files will be stored. If this setting is
+# commented out, all the data will be kept in memory instead.
+temporary_path = tmp/m000p.temp
+# The fields that will be copied to the final output. If a list of two names
+# are given, the treenode data given by the first one will be stored under the
+# second one (renaming).
+copy_fields    = [
+    "tree_node_index",
+    "desc_node_index",
+    "tree_node_mass",
+    "fof_halo_tag",
+    "fof_halo_count",
+    "fof_halo_mass",
+    "fof_halo_center_x",
+    "fof_halo_center_y",
+    "fof_halo_center_z",
+    "sod_halo_count",
+    "sod_halo_mass",
+    "sod_halo_radius",
+    "sod_halo_cdelta",
+    "sod_halo_cdelta_error",
+    ["sod_halo_c_acc_mass", "sod_halo_cdelta_accum"],
+    ["sod_halo_c_peak_mass", "sod_halo_cdelta_peak"]
+    ]
+# Additional fields that are derived from other fields. See
+# haccytrees/mergertrees/assemble/derived_fields.py for the supported options.
+derived_fields  = ["xoff_fof", "xoff_sod", "xoff_com"]
+
+[algorithm]
+# If no, the exchange of orphaned halos is amongst the 26 neighbors first, and
+# only the remaining orphans are distributed all-to-all. If yes, the orphans are
+# directly exchanged amongst all ranks (slower and more memory intensive).
+do_all2all_exchange    = no
+# If yes, the code will abort if an orphan cannot be assigned to a rank. If no,
+# the orphan will be treated as a new root, and the code continues
+fail_on_desc_not_found = yes
+# A waittime in seconds until additional communicator (3D cart and 26-neighbor
+# graph) are constructed. Can mitigate some `PG not found` MPI errors that occur
+# on cooley without waittime (may be due to some bug in mpi4py)
+mpi_waittime           = 5
+# Increasing verbosity. Currently the max is 2, printing distribute and exchange
+# information from each rank.
+verbose                = 0
+
+
+
+
+
+

Example: Last Journey

+

Creating the LastJourney Merger Forest took 3.2 hours on cooley, +using 32 nodes with 12 MPI ranks each (total of 384 ranks). The majority of the +time was spent in reading the treenode files (1.3 hours) and doing temporary IO +(1h) in order to keep the memory consumption in each rank low. A much smaller +fraction of the total time is in MPI communications (distribute and exchange), +~40min. Calculating the sub-tree sizes and data ordering took an +insignificant amount of time.

+
+../_images/LJ_timing_32nodes.svg +
+

Processing time of Last Journey, split by task

+
+
+
+
+

Galaxy Merger trees

+

The code also works for galaxy mergertrees. See +haccytrees/scripts/treenodes2forest.galaxymergertree.example.cfg for an +example configuration file.

+
+
+

References

+
+
+haccytrees.mergertrees.assemble.catalog2tree(simulation, treenode_base, fields_config, output_file, *, temporary_path=None, do_all2all_exchange=False, split_output=False, fail_on_desc_not_found=True, rebalance_gio_read=False, mpi_waittime=0, logger=None, verbose=False)[source]
+

The main routine that converts treenode-catalogs to HDF5 treenode forests

+

[add basic outline of algorithm]

+
+
Parameters:
+
    +
  • simulation (Simulation) – a Simulation instance containing the cosmotools steps

  • +
  • treenode_base (str) – the base path for the treenode files. +- if treenode_base contains #, # will be replace by the current step number +- otherwise, the path will be completed by appending [step].treenodes.

  • +
  • fields_config (FieldsConfig) – a FieldsConfig instance, containing the treenodes filed names

  • +
  • output_file (str) – base path for the output file(s)

  • +
  • temporary_path (Optional[str]) – base path for temporary files. Note: folders must exist.

  • +
  • do_all2all_exchange (bool) – if False, will exchange among neighboring ranks first and then +all2all. If True, will do all2all directly

  • +
  • split_output (bool) – if True, forests will be stored in multiple HDF5 files (one per +rank). If False, all data will be combined in a single file (might +not be feasible for large simulations)

  • +
  • fail_on_desc_not_found (bool) – if True, will abort if a descendant halo cannot be found among all +ranks. If False, the orphaned halo will become the root of the +subtree.

  • +
  • rebalance_gio_read (bool) – if True, will reassign the reading ranks for the treenode files. Can +be slower or faster.

  • +
  • mpi_waittime (float) – time in seconds for which the code will wait for the MPI to be +initialized. Can help with some MPI errors (on cooley)

  • +
  • logger (Optional[Callable[[str], None]]) – a logging function, e.g. print

  • +
  • verbose (Union[bool, int]) – verbosity level, either 0, 1, or 2

  • +
+
+
Return type:
+

None

+
+
+
+ +
+
+[Rangel2020] +

Rangel et al. (2020) +arXiv:2008.08519

+
+
+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/genindex/index.html b/genindex/index.html new file mode 100644 index 0000000..93740ee --- /dev/null +++ b/genindex/index.html @@ -0,0 +1,285 @@ + + + + + + Index — haccytrees documentation + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+
    +
  • + +
  • +
  • +
+
+
+
+
+ + +

Index

+ +
+ _ + | C + | F + | G + | H + | L + | M + | N + | P + | R + | S + | V + +
+

_

+ + + +
+ +

C

+ + + +
+ +

F

+ + + +
+ +

G

+ + + +
+ +

H

+ + + +
+ +

L

+ + +
+ +

M

+ + +
+ +

N

+ + +
+ +

P

+ + +
+ +

R

+ + + +
+ +

S

+ + + +
+ +

V

+ + +
+ + + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/index.html b/index.html new file mode 100644 index 0000000..3af2709 --- /dev/null +++ b/index.html @@ -0,0 +1,168 @@ + + + + + + + HaccyTrees Documentation — haccytrees documentation + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

HACCYTREES

+

Welcome to haccytrees! This is a python library to create, read, and process +large merger-tree forests created from HACC simulations, such as Last Journey.

+

Documentation and usage examples are provided at +https://argonnecpac.github.io/haccytrees/. The code is available at +https://github.com/ArgonneCPAC/haccytrees.

+merger tree illustration +
+

Installation

+

To install haccytrees, you will need to clone the repository and then use pip.

+
git clone https://github.com/ArgonneCPAC/haccytrees.git
+cd haccytrees
+
+# Using pip to install the package
+pip install .
+
+
+
+
+

Requirements

+

These python packages will be automatically installed if they are not yet in +your python library:

+
    +
  • numpy: Python array library

  • +
  • numba: used to speed up iterating across arrays +and trees

  • +
  • h5py: a python HDF5 interface

  • +
+

For visualizations, these additional packages are required:

+
    +
  • matplotlib: General purpose plotting library

  • +
  • drawSvg: used to create SVG drawings of +trees

  • +
+

These two packages are required to run the HACC to haccytrees conversion:

+
    +
  • mpi4py: MPI for Python to +distribute the work-load

  • +
  • pygio: The Python GenericIO +interface that allows reading and writing GenericIO files from python with and +without MPI. Use this +guide to install pygio.

  • +
+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/objects.inv b/objects.inv new file mode 100644 index 0000000..b344c15 Binary files /dev/null and b/objects.inv differ diff --git a/reading/branch_matrices/index.html b/reading/branch_matrices/index.html new file mode 100644 index 0000000..b61b257 --- /dev/null +++ b/reading/branch_matrices/index.html @@ -0,0 +1,179 @@ + + + + + + + Creating Branch-Matrices — haccytrees documentation + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Creating Branch-Matrices

+
+../../_images/branchmatrix_mass.svg
+

Example of a branch matrix for a single tree, showing the branch mass. Each +row corresponds to the main progenitor branch of a branch, and each column to +a simulation snapshot. After a halo merges, the mass by default is set to 0 +(white).

+
+
+
+

References

+
+
+haccytrees.mergertrees.forest2matrix(forest, simulation, target_index=None, *, subhalo_data=None, branchmass_threshold=None)[source]
+

Convert a haccytree forest to a matrix, where each row is a branch

+
+
Parameters:
+
    +
  • forest (Mapping[str, ndarray]) – the full treenode forest returned by read_forest()

  • +
  • simulation (Union[str, Simulation]) – the full progenitor array created by read_forest()

  • +
  • target_index (Optional[int]) – (optional) if set, a matrix of only the tree starting at target_index will be +calculated

  • +
  • subhalo_data (Optional[Mapping[str, ndarray]]) – currently does nothing

  • +
  • branchmass_threshold (Optional[float]) – if set, removes all branches that have a mass below the threshold at infall

  • +
+
+
Returns:
+

matrices – arrays of shape (nbranches, nsnapshots) for each of the forest properties. +Additionally, matrices[“top_host_row”] contains the row number of the main +host, matrices[“direct_host_row”] contains the row of the direct host in +the hierarchy, and matrices[“parent_tni”] contains the `tree_node_index of the +main (top) host halo. top_host_row and direct_host_row are -1 for host +halos. parent_tni of a host halo is its own tree_node_index.

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+

Notes

+

All the properties (except top_host_row, direct_host_row, parent_tni) are 0 +for entries where the halo does not exist or when the halo is a subhalo. For +top_host_row, direct_host_row, and parent_tni, the values are -1 prior to +the nucleation of the branch.

+
+
+ +
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/examples/index.html b/reading/examples/index.html new file mode 100644 index 0000000..fb55733 --- /dev/null +++ b/reading/examples/index.html @@ -0,0 +1,295 @@ + + + + + + + Examples — haccytrees documentation + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Examples

+
+

Average Mass-Growth

+
# Define 3 mass-bins
+mass_bins = [
+    (1e12, 2e12),
+    (1e13, 2e13),
+    (1e14, 2e14)
+]
+
+# a mask to select all z=0 halos
+z0_mask = forest['snapnum'] == 100
+
+# where we will store the mass evolution for each bin
+mean_massfrac = {}
+
+for i, mlim in enumerate(mass_bins):
+    # creating a target mask for halos at z=0 and in the mass-bin
+    target_mask = z0_mask & (forest['tree_node_mass'] > mlim[0]) \
+                          & (forest['tree_node_mass'] < mlim[1])
+    target_idx = forest['halo_index'][target_mask]
+    
+    # this will create a matrix of shape (ntargets, nsteps), where each column 
+    # is the main progenitor branch of a target. It contains the indices to the 
+    # forest data, and is -1 if the halo does not exist at that time
+    mainbranch_index = haccytrees.mergertrees.get_mainbranch_indices(
+        forest, simulation='LastJourney', target_index=target_idx
+    )
+    
+    # Get the mass of the main branches
+    active_mask = mainbranch_index != -1
+    mainbranch_mass = np.zeros_like(mainbranch_index, dtype=np.float32)
+    mainbranch_mass[active_mask] = forest['tree_node_mass'][mainbranch_index[active_mask]]
+    
+    # Normalize by the final mass
+    mainbranch_mass /= mainbranch_mass[:, -1][:, np.newaxis]
+    
+    # Take the average over all halos
+    mainbranch_mass = np.mean(mainbranch_mass, axis=0)
+    mean_massfrac[i] = mainbranch_mass
+    
+    
+# this is just to get the scale factors associated with each step (matrix row)
+simulation = haccytrees.Simulation.simulations['LastJourney']
+scale_factors = simulation.step2a(np.array(simulation.cosmotools_steps))
+
+# plotting the average mass evolution
+fig, ax = plt.subplots()
+for i, mlim in enumerate(mass_bins):
+    ax.plot(
+        scale_factors, 
+        mean_massfrac[i], 
+        label=fr"$M_\mathrm{{FoF}}(z=0) \in [1, \; 2] "
+              fr"\times 10^{{{np.log10(mlim[0]):.0f}}} "
+              fr"\; h^{{-1}}M_\odot$")
+ax.axhline(1, color='black')
+ax.set(
+    yscale='log', ylim=(1e-3, 1),
+    xlabel='scale factor $a$', 
+    ylabel=r'$\langle M_\mathrm{FoF} \; / \; M_\mathrm{FoF}(z=0) \rangle$'
+)
+ax.legend()
+fig.tight_layout()
+
+
+../../_images/massgrowth_example.svg
+
+

Major Merger Rate

+
# Define 3 mass-bins
+mass_bins = [
+    (1e12, 2e12),
+    (1e13, 2e13),
+    (1e14, 2e14)
+]
+
+relative_thresholds = [1/3, 1/4]
+
+# a mask to select all z=0 halos
+z0_mask = forest['snapnum'] == 100
+
+# where we will store the merger probability for each mass bin
+merger_probability = {}
+
+for i, mlim in enumerate(mass_bins):
+    # creating a target mask for halos at z=0 and in the mass-bin
+    target_mask = np.copy(z0_mask)
+    target_mask &= (forest['tree_node_mass'] > mlim[0]) 
+    target_mask &= (forest['tree_node_mass'] < mlim[1])
+    target_idx = forest['halo_index'][target_mask]
+    print(len(target_idx))
+    
+    # Create a matrix of shape (ntargets, nsteps), where each row is the main
+    # progenitor branch of a target. It contains the indices to the forest data,
+    # and is -1 if the halo does not exist at that time
+    mainbranch_index = haccytrees.mergertrees.get_mainbranch_indices(
+        forest, simulation='LastJourney', target_index=target_idx
+    )
+    
+    # mask of the matrix elements that are "filled"
+    active_mask = mainbranch_index > 0
+    
+    # For all halos in the matrix, find the main progenitor index and the main merger index
+    mainprog_index = haccytrees.mergertrees.get_nth_progenitor_indices(
+        forest, progenitor_array, target_index=mainbranch_index[active_mask], n=1
+    )
+    mainmerger_index = haccytrees.mergertrees.get_nth_progenitor_indices(
+        forest, progenitor_array, target_index=mainbranch_index[active_mask], n=2
+    )
+    
+    # Calculate merger ratio at the locations where there are mergers
+    # (i.e. where mainmerger_index > 0)
+    mainprog_mass   = forest['tree_node_mass'][mainprog_index[mainmerger_index >=0]]
+    mainmerger_mass = forest['tree_node_mass'][mainmerger_index[mainmerger_index >= 0]]
+    merger_ratio = mainmerger_mass / mainprog_mass
+    # Expand it to the "active" part of the matrix
+    merger_ratio_active = np.zeros(len(mainprog_index))
+    merger_ratio_active[mainmerger_index >= 0] = merger_ratio
+    # Expand it to the matrix
+    merger_ratio_matrix = np.zeros_like(mainbranch_index, dtype=np.float32)
+    merger_ratio_matrix[active_mask] = merger_ratio_active
+    
+    # The probability for a halo to undergo a major merger at a specific snapshot
+    # (along the main progenitor branch)
+    total_halos_per_sn = np.sum(active_mask, axis=0)
+    major_mergers_per_sn = np.array(
+        [np.sum(merger_ratio_matrix > threshold, axis=0) 
+            for threshold in relative_thresholds])
+    
+    merger_probability[i] = major_mergers_per_sn / total_halos_per_sn
+    merger_probability[i][:, total_halos_per_sn == 0] = 0
+    
+    
+# Get the scale factors associated with each step (matrix row)
+simulation = haccytrees.Simulation.simulations['LastJourney']
+scale_factors = simulation.step2a(np.array(simulation.cosmotools_steps))
+# Get the time difference between steps in Gyr
+lookback_times = simulation.step2lookback(np.array(simulation.cosmotools_steps))
+dt = lookback_times[:-1] - lookback_times[1:]
+
+# plotting the major merger probability at every timestep
+fig, ax = plt.subplots()
+for i, mlim in enumerate(mass_bins):
+    for j, rt in enumerate(relative_thresholds):
+        # Convert merger rate per snapshot to merger rate per Gyr
+        merger_rate = merger_probability[i][j, 1:] / dt
+        ax.plot(scale_factors[1:], merger_rate, 
+                label=fr"$M_\mathrm{{FoF}}(z=0) \in [1, \; 2] "
+                      fr"\times 10^{{{np.log10(mlim[0]):.0f}}} "
+                      fr"\; h^{{-1}}M_\odot$, "
+                      fr"$m_\mathrm{{th}}={rt:.1f}$",
+                color=['tab:blue', 'tab:red', 'tab:orange'][i],
+                linestyle=['-', '--'][j])
+ax.set(
+    yscale='log',
+    xlabel='scale factor $a$', 
+    ylabel=r'major mergers / halo / Gyr'
+)
+ax.legend()
+fig.tight_layout()
+
+
+../../_images/mergerrate_example.svg
+
+

Nucleation Rate

+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/fragments/index.html b/reading/fragments/index.html new file mode 100644 index 0000000..19cae88 --- /dev/null +++ b/reading/fragments/index.html @@ -0,0 +1,324 @@ + + + + + + + Dealing with Fragments — haccytrees documentation + + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Dealing with Fragments

+

During a simulation run, halos sometimes come within the FoF linking length +(i.e. merge), but later disassociate again. Since we generally assume that halos +don’t split, these “wrongly” merged halos are disentangled in a post-processing +step, and labeled as fragments during the time they were part of a “combined” +FoF group.

+

However, some of the halo properties are only calculated once for each FoF group +on-the-fly during the simulation, e.g. the SOD properties. Therefore, the SOD +property is only known for the “major” fragment in a split FoF group, and not +for the “minor” fragments. It is important to keep this in mind whenever dealing +with properties that are not aware of the fragment status.

+

HaccyTrees includes some functionality that attempts to correct those properties +for minor fragments, discussed further below.

+
+

Identifying Fragments

+

The fragment status is encoded in the fof_halo_tag, which is composed of the +original FoF tag that was assigned on-the-fly, as well as the fragment index. +Index 0 corresponds to the “main” or “major” fragment, for which we can assume +that the SOD properties are correct. Minor fragments will have a fragment index +larger than 0.

+

The fof_halo_tag for fragments is constructed with the following scheme:

+
+\[-1 \cdot \Big[ \text{fragment index (16 bit)} \; \Big| \; \text{parent fof tag (48 bit} \Big]\]
+

The two components can be extracted with the function +split_fragment_tag(), which can be applied to all negative +fof_halo_tag to find the original FoF tag as well as the fragment index.

+
+

Note

+

Since the merger-tree forests for large simulations are split among multiple +files, determined by the positions of the root halos at z=0, it is not +guaranteed that the main fragment is in the same file as the minor +fragments, in case belong to distinct trees (i.e. they don’t share the same +root halo / they never merge). The affected fragments will all be located at +the boundary of the file extent, i.e. their main fragment can be found in the +file that covers the neighboring subvolume.

+
+
+
+

Properties of Minor Fragments

+

As previously noted, some quantities are only computed once per FoF group and +normally only apply for the main fragment in a split FoF halo (fragment index +0). However, minor fragments will be assigned the same value, which generally +is not correct.

+

One can either mask out these affected branches by identifying the minor +fragments (see previous section) or attempt to “correct” the properties by +looking at the properties before and after the halo became a minor fragment and +doing some sort of interplolation inbetween. The function +fix_fragment_properties() provides two kind of corrections that can be +applied to all minor fragments in a forest, either by linearly interpolating +between the starting and ending value, or by setting the properties to a +constant value.

+

As an example, here is how one would “correct” the SOD mass, radius, and +concentration:

+
%%time
+forest, progenitor_array = haccytrees.mergertrees.read_forest(
+    "/data/a/cpac/mbuehlmann/LastJourney/forest/m000p.forest.000.hdf5",
+    'LastJourney', nchunks=20, chunknum=0)
+
+
+
CPU times: user 558 ms, sys: 1.04 s, total: 1.6 s
+Wall time: 1.6 s
+
+
+
%%time
+haccytrees.mergertrees.fix_fragment_properties(
+    forest,
+    ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'],
+    inplace=False, suffix='_fragfix_const', interpolation='constant_reverse',
+    mask_negative=False
+)
+haccytrees.mergertrees.fix_fragment_properties(
+    forest,
+    ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'],
+    inplace=False,
+    suffix='_fragfix_lin',
+    interpolation='linear',
+    mask_negative=True
+)
+
+
+
CPU times: user 817 ms, sys: 80.3 ms, total: 898 ms
+Wall time: 896 ms
+
+
+

After these function calls, additional arrays are added to the forest, suffixed +with _fragfix_lin and _fragfix_const. For the following figure, we pick +a halo in the Last Journey simulation that is fragmented at snapshot number 95 +and plot the evolution of the tree_node_mass, sod_halo_mass, +sod_halo_radius, and sod_halo_cdelta for the major fragment and a minor +fragment:

+
+../../_images/fragment_treatment.svg
+

Evolution of the tree-node mass, SOD mass, SOD radius, and SOD concentration +(from top to bottom) of the major and a minor fragment branch. The time where +the two halos share the same FoF group is highlighted in grey. Blue and +orange lines show the constant and linear corrections for the minor fragment.

+
+
+

Node that in the original catalog, the SOD properties of the minor fragment have +the same value as the ones of the major fragment, by construction. After +applying the corrections, the SOD mass and SOD radius are either linearly +interpolated or set to a constant value (the quantities that the halo has once +it becomes the major fragment or an independant halo). Since cdelta == -1 +when the minor fragment becomes independant, no interpolation is done (since we +set mask_negative=True), but instead cdelta is set to -1 throughout the +minor-fragment phase.

+

Not that the minor and major fragments eventually merge.

+
+
+

References

+
+
+haccytrees.mergertrees.split_fragment_tag(tag)[source]
+

Extracting the original fof_tag and fragment index from fragments

+
+
Parameters:
+

tag (int) – the fof_tag of the fragment, has to be negative by definition

+
+
Returns:
+

    +
  • fof_tag – the original fof_tag of the FoF halo the fragment is associated with

  • +
  • fragment_idx – the index / enumeration of the fragment (0 == main fragment)

  • +
+

+
+
Return type:
+

Tuple[int, int]

+
+
+
+

Notes

+

This function can also be used with numpy arrays directly

+
+
+ +
+
+haccytrees.mergertrees.fix_fragment_properties(forest, keys, *, inplace=True, suffix='_fragfix', interpolation='constant_reverse', mask_negative=False)[source]
+

Correct properties of minor fragments

+

The SOD data stored in the merger tree forest files will be wrong for +fragmented FoF groups, if the halo is not the major fragment of this group. +This function attempts to fix those values by either linearly interpolate +or setting the SOD properties to a constant value during the times when +a halo is a minor fragment.

+
+
Parameters:
+
    +
  • forest (Mapping[str, ndarray]) – the full merger tree forest data

  • +
  • keys (List[str]) – list of the columns to which the correction should be applied

  • +
  • inplace (bool) – if True, the column will be updated in-place, otherwise, a new array +will be created with the original name and suffix appended

  • +
  • suffix (str) – if not in-place, the new array will be named old_column + suffix

  • +
  • interpolation (str) –

    the type of correction to apply. Currently supported are:

    +
      +
    • "constant_reverse": set the properties to the value the halo has +when becoming a non-minor-fragment or independent (“reverse” in time)

    • +
    • "linear": linearly interpolate (in snapshot-space) the property +values from before and after being a minor fragment

    • +
    +

  • +
  • mask_negative (bool) – if True, will not attempt to do a linear interpolation if either the +starting or ending value is negative, e.g. for an invalid concentration +parameter. Instead, the property will be set to the negative value +during the minor-fragment phase.

  • +
+
+
Return type:
+

None

+
+
+
+

Examples

+
>>> haccytrees.mergertrees.fix_fragment_properties(forest,
+...     ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'],
+...     inplace=False,
+...     suffix='_fragfix_const',
+...     interpolation='constant_reverse')
+>>> haccytrees.mergertrees.fix_fragment_properties(forest,
+...     ['sod_halo_mass', 'sod_halo_radius', 'sod_halo_cdelta'],
+...     inplace=False,
+...     suffix='_fragfix_lin',
+...     interpolation='linear',
+...     mask_negative=True)
+
+
+
+
+ +
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/getting_started/index.html b/reading/getting_started/index.html new file mode 100644 index 0000000..b25917f --- /dev/null +++ b/reading/getting_started/index.html @@ -0,0 +1,425 @@ + + + + + + + Getting Started — haccytrees documentation + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Getting Started

+
+

Reading a Merger Forest

+

Merger forests are stored in the HDF5 format, and although one could read the HDF5 +file directly, the read_forest() function in haccytrees provides more +convenience, e.g. by creating additional indices that make walking the tree much +easier and by allowing to split the forest files into self-contained chunks.

+

For example, if we want to split a Last Journey merger forest into 10 chunks and +read the first chunk:

+
import numpy as np
+import haccytrees.mergertrees
+
+forest, progenitor_array = haccytrees.mergertrees.read_forest(
+    "/data/a/cpac/mbuehlmann/LastJourney/m000p.forest.000.hdf5",
+    simulation="LastJourney",
+    nchunks=10, chunknum=0)
+
+
+

The returned forest is a dictionary containing one-dimensional numpy arrays.

+
+
+

Extracting Main-Branch Matrices

+

Sometimes, only the main-branch (defined by following the most massive +progenitor at each timestep) is needed. The function get_mainbranch_indices() +is a convenient function to construct a matrix of shape (n_targets x n_steps), +where each column corresponds to the main branch of a halo, and each row +corresponds to an output step of the simulation. At times where a halo does not +exist, the index is set to -1.

+

This index matrix can then be used to get the history of any stored halo +parameter. As an example, we can easily extract the mass history of all halos in +the mass-bin [1e13, 2e13] at z=0:

+
z0_mask = forest['snapnum'] == 100
+mlim = [1e13, 2e13]
+target_mask = z0_mask \
+              & (forest['tree_node_mass'] > mlim[0]) \
+              & (forest['tree_node_mass'] < mlim[1])
+target_idx = forest['halo_index'][target_mask]
+
+# this will create a matrix of shape (ntargets, nsteps), where each row
+# is the main progenitor branch of a target. It contains the indices to the
+# forest data, and is -1 if the halo does not exist at that time
+mainbranch_index = haccytrees.mergertrees.get_mainbranch_indices(
+    forest, simulation='LastJourney', target_index=target_idx
+)
+
+# Get the mass of the main branches
+active_mask = mainbranch_index != -1
+mainbranch_mass = np.zeros_like(mainbranch_index, dtype=np.float32)
+mainbranch_mass[active_mask] = forest['tree_node_mass'][mainbranch_index[active_mask]]
+
+
+
+
+

Finding Major Mergers

+

Another common task is finding mergers above a certain relative or absolute +threshold. To get the merger ratio from the two most massive progenitors of a +list of target halos, the function get_nth_progenitor_indices() can be +used as follows:

+
# get indices to main progenitors
+main_progenitor_index = haccytrees.mergertrees.get_nth_progenitor_indices(
+    forest, progenitor_array, target_index=mainbranch_index[active_mask], n=1
+)
+
+# get indices to secondary progenitors (main mergers)
+main_merger_index = haccytrees.mergertrees.get_nth_progenitor_indices(
+    forest, progenitor_array, target_index=mainbranch_index[active_mask], n=2
+)
+
+# the index will be negative if there's no merger, mask those out
+merger_mask = main_merger_index >= 0
+
+# allocate a merger_ratio matrix, 0 by default
+merger_ratio = np.zeros_like(mainbranch_index, dtype=np.float32)
+
+# fill the elements for which a merger occurred with the mass ratio
+merger_ratio[tuple(np.argwhere(active_mask)[merger_mask].T)] = \
+    forest['tree_node_mass'][main_merger_index[merger_mask]] /
+    forest['tree_node_mass'][main_progenitor_index[merger_mask]]
+
+
+

Major mergers can then be identified by finding the entries in merger_ratio +above the major merger threshold.

+

If an absolute major merger criteria is required, we only have to extract the +mass of the main merger (secondary progenitor), i.e.

+
# get indices to secondary progenitors (main mergers)
+main_merger_index = haccytrees.mergertrees.get_nth_progenitor_indices(
+    forest, progenitor_array, target_index=mainbranch_index[active_mask], n=2
+)
+
+# the index will be negative if there's no merger, mask those out
+merger_mask = main_merger_index >= 0
+
+# allocate an array containing the merger masses, 0 by default
+merger_mass = np.zeros_like(mainbranch_index, dtype=np.float32)
+
+# fill the elements for which a merger occurred with the mass of the main merger
+merger_mass[tuple(np.argwhere(active_mask)[merger_mask].T)] = \
+    forest['tree_node_mass'][main_merger_index[merger_mask]]
+
+
+

Then, halos that in the last timestep underwent a major merger defined by an +absolute mass threshold mass_threshold, can be selected by merger_mass >= +mass_threshold.

+

In both cases, the scale factor of the last major merger can be found by finding +the last column at which the merger ratio or merger mass is above the threshold, +i.e.

+
simulation = haccytrees.Simulation.simulations['LastJourney']
+scale_factors = simulation.step2a(np.array(simulation.cosmotools_steps))
+last_snap = len(simulation.cosmotools_steps) - 1
+
+# major merger mask with a relative threshold
+mm_mask = merger_ratio > threshold
+
+# major merger mask with an absolute threshold
+mm_mask = merger_mass > threshold
+
+# finding the last index
+last_mm_index = last_snap - np.argmax(mm_mask[:, ::-1], axis=1)
+
+last_mm_redshift = 1/scale_factors[last_mm_index] - 1
+
+# mark all halos without any major merger with a last_mm_redshift of -1
+last_mm_redshift[~np.any(mm_mask, axis=1)] = -1
+
+
+
+
+

Obtaining a Histogram of Infall Masses

+

The mass distribution of the halos that merge onto the main-progenitor branches +of a halo (i.e. the infall masses) can be obtained with the function +get_infall_histogram().

+
# target all halos at z=0 in [10**13.0, 10**13.05] mass range
+mask = forest['snapnum'] == 100
+mask &= forest['tree_node_mass'] > 10**13.0
+mask &= forest['tree_node_mass'] < 10**13.05
+target_index = np.nonzero(mask)[0]
+
+# upper and lower masses for histogram in log units
+m_low = 11
+m_high = 13
+nbins = 50
+
+infall_hist = haccytrees.mergertrees.get_infall_histogram(
+    fg_forest,
+    target_index,
+    10**m_low,
+    10**m_high,
+    nbins)
+
+# calculate the bin centers
+imass_edges = np.linspace(m_low, m_high, nbins+1, endpoint=True)
+imass_centers = 0.5*(imass_edges[1:] + imass_edges[:-1])
+imass_centers = 10**imass_centers
+
+# plot the distribution
+fig, ax = plt.subplots()
+ax.step(imass_centers, infall_hist, where='center')
+
+
+
+
+
+

References

+
+
+haccytrees.mergertrees.read_forest(filename, simulation, *, nchunks=None, chunknum=None, include_fields=None, create_indices=True, add_scale_factor=True, mass_threshold=None, include_non_z0_roots=False)[source]
+

Read a HDF5 merger-forest

+
+
Parameters:
+
    +
  • filename (str) – the path to the merger forest file

  • +
  • simulation (Union[str, Simulation]) – either a valid simulation name or a Simulation instance, used to add the +scale factor to the output

  • +
  • nchunks (Optional[int]) – if not None, the file will be split in nchunks equally-sized parts

  • +
  • chunknum (Optional[int]) – if nchunks is set, chunknum determines which chunk number will +be read. First chunk has chunknum=0, has to be smaller than +nchunks.

  • +
  • include_fields (Optional[List[str]]) – the columns that will be read from the HDF5 file. If None, all data +will be read. Note: some essential columns will always be read, check +haccytrees.mergertrees.forest_reader._essential_fields.

  • +
  • create_indices (bool) – if True, will add descendant_idx``, progenitor_count, +progenitor_offset to the forest and return the progenitor_array

  • +
  • add_scale_factor (bool) – if True, will add the scale factor column to the forest data

  • +
  • mass_threshold (Optional[float]) – if not None, the reader will prune all halos below the specified +mass threshold (in Msun/h)

  • +
  • include_non_z0_roots (bool) – if True, will also include trees that are not rooted at z=0 (i.e. halos +that for some reason “disappear” during the evolution)

  • +
+
+
Returns:
+

    +
  • forest (Mapping[str, np.ndarray]) – the merger tree forest data

  • +
  • progenitor_array (Optional[np.ndarray]) – a progenitor index array that can be used together with the +progenitor_offset and progenitor_count arrays in the forest +data in order to easily find all progenitors of a halo. Only returned if +create_indices=True.

  • +
+

+
+
Return type:
+

Tuple[Mapping[str, ndarray], Optional[ndarray]]

+
+
+
+ +
+
+haccytrees.mergertrees.get_mainbranch_indices(forest, simulation, target_index)[source]
+

Extract main progenitor branches in a matrix format: (n_targets x n_steps)

+
+
Parameters:
+
    +
  • forest (Mapping[str, ndarray]) – the full treenode forest returned by read_forest()

  • +
  • simulation (Union[str, Simulation]) – either a valid simulation string or an instance of Simulation, +required to get the number of cosmotools steps.

  • +
  • target_index (ndarray) – the indices of the halos for which the main progenitor branch should +be extracted.

  • +
+
+
Returns:
+

mainbranch_indices – the indices of the halos in the main progenitor branches. Each column j +corresponds to the main branch of the j-th target_halo. Each row +corresponds to a cosmotools step (with 0 being the first step). At times +where the halo did not exist, the index is -1.

+
+
Return type:
+

np.ndarray

+
+
+
+ +
+
+haccytrees.mergertrees.get_nth_progenitor_indices(forest, progenitor_array, target_index, n)[source]
+

Extract indices of the n-th most massive progenitor for each target halo

+

The index array returned has the same length as target_index. Invalid +indices are masked with -1 (i.e. if the halo does not have n progenitors)

+
+
Parameters:
+
    +
  • forest (Mapping[str, ndarray]) – the full treenode forest returned by read_forest()

  • +
  • progenitor_array (ndarray) – the full progenitor array created by read_forest()

  • +
  • target_index (ndarray) – the indices of the halos for which the merger indices should be +extracted.

  • +
  • n (int) – the n-th progenitor. 0 corresponds to the main progenitor, 1 to +the main merger halo, etc.

  • +
+
+
Returns:
+

merger_indices – the indices of the n-th most massive progenitors (determined by the +tree-node mass). -1 if the progenitor does not exist.

+
+
Return type:
+

np.ndarray

+
+
+
+ +
+
+haccytrees.mergertrees.get_infall_histogram(forest, target_index, mass_min, mass_max, nbins, logbins=True)[source]
+

Get a histogram of infall masses, integrated over all snapshots and target_index

+

This function counts the halos that fall onto the main progenitor branches of the +halos specified by target_index and bins them according to their masses

+
+
Parameters:
+
    +
  • forest (Mapping[str, ndarray]) – the full treenode forest returned by read_forest()

  • +
  • target_index (ndarray) – the indices of the halos for which the infall masses should be accumulated

  • +
  • mass_min (float) – lower mass bound for histogram

  • +
  • mass_max (float) – upper mass bound for histogram

  • +
  • nbins (int) – number of bins in the histogram, linearly or logarithmically spread from min to +max

  • +
  • logbins (bool) – if True, the bins will be logarithmically distributed, otherwise linearly

  • +
+
+
Returns:
+

counts – the indices of the n-th most massive progenitors (determined by the +tree-node mass). -1 if the progenitor does not exist.

+
+
Return type:
+

np.ndarray

+
+
+
+ +
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/layout/index.html b/reading/layout/index.html new file mode 100644 index 0000000..0c18ae2 --- /dev/null +++ b/reading/layout/index.html @@ -0,0 +1,412 @@ + + + + + + + Merger Forest Layout — haccytrees documentation + + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Merger Forest Layout

+

The forest data is stored in HDF5 files, in one-dimensional arrays under the +group forest. If the forest is split into multiple files, each file is +closed, i.e. individual trees are never split.

+

Instead of using array pointers, the tree-hierarchy is embedded in the ordering +of the data. Array pointers to descendant and progenitor halos can be generated +during the read-in of the forest data, see +haccytrees.mergertrees.read_forest(). The tree data is ordered depth-first +and by tree-node-mass, i.e. a main-progenitor branch is contiguous in the +array, starting from the root halo. This layout also has the advantage that a +sub-tree (e.g. starting from a progenitor at redshift 1) is contiguous in the +data arrays. To facilitate extracting a sub-tree, there is a forest array +branch_size, which stores the size of each halo’s subtree.

+

The following figure illustrates a small forest with two trees, spanning 10 +snapshots:

+
+../../_images/mergertree_layout_sketch.svg +
+

Memory layout of a tree. Numbers show the array position, arrows incidate +mergers. Each row is the main progenitor branch of the first halo in that +row, columns are snapshots, starting with the latest snapshot (z=0) on the +left.

+
+
+

The trees start with the root halo at the latest snapshot, followed by its main +progenitor branch. Then, the array continues with the earliest merger into this +branch and its progenitors, and so on. In the following table, we list the +branch size of each of the halos. Note that branch_size refers to the size +of the subtree starting at this halo.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

index

snapnum

branch_size

0

9

46

1

8

33

2

7

32

3

6

16

4

5

15

5

4

8

6

3

7

7

2

3

8

1

2

9

0

1

10

2

3

11

1

2

12

0

1

13

4

6

14

3

3

15

2

2

16

1

1

17

3

2

18

2

1

46

9

13

47

8

12

+

The snapnum column and the ordering of our data are sufficient to +reconstruct the tree structure. During read-in of the forests, the code +constructs additional arrays that help navigating the tree, without having to be +aware of the data layout:

+
    +
  • desc_index: the array index to the descendant halo

  • +
  • progenitor_array, progenitor_offset, progenitor_count: These arrays +help finding the indices of all progenitors associated with a halo, ordered +by tree_node_mass:

    +
    start = forest['progenitor_offset'][i]
    +end = start + forest['progenitor_count'][i]
    +progenitor_indices = progenitor_array[start:end]
    +
    +
    +
  • +
+
+

Available Columns

+

Here is a list of all data-columns in the HDF5 files as well as the arrays that +are automatically constructed by haccytrees during the reading of those files:

+ + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Columns stored in the HDF5 file

Key

Description

Units

tree_node_index

the unique ID given to the halo in the treenode files

desc_node_index

the tree_node_index of the descendant halo, -1 if no +descendant

fof_halo_tag

the FoF halo ID given by the in-situ halofinder. +For a fragmented halo +(Dealing with Fragments), +the tag is negative

snapnum

the enumerated output, starting at 0 for the first +snapshot

tree_node_mass

the FoF mass of the halo, corrected for fragments

\(h^{-1}M_\odot\)

fof_halo_mass

the FoF mass of the halo

\(h^{-1}M_\odot\)

fof_halo_count

the number of particles in the FoF group

sod_halo_mass

the SOD mass (usually at 200c overdensity)

\(h^{-1}M_\odot\)

sod_halo_radius

the SOD radius (usually at 200c overdensity)

\(h^{-1}\mathrm{Mpc}\)

sod_halo_cdelta

the SOD concentration parameter

sod_halo_cdelta_error

the error estimate of sod_halo_cdelta

sod_halo_cdelta_accum

the SOD concentration parameter calculated using the +accumulated mass algorithm

sod_halo_cdelta_peak

the SOD concentration parameter calculated using the +dM/dr peak algorithm

xoff_fof

the offset of the FoF center of mass and potential +minimum, normalized by sod_halo_radius

xoff_sod

the offset of the SOD center of mass and potential +minimum, normalized by sod_halo_radius

xoff_com

the offset of the FoF center of mass and the SOD +center of mass, normalized by sod_halo_radius

branch_size

the size (in the forest array) of the subtree +starting at this halo

+ + ++++ + + + + + + + + + + + + + + + + + + + + + + +
Additional columns generated during reading

Key

Description

scale_factor

scale factor

halo_idx

the array position of the halo, created during the +reading of the forest file

descendant_idx

the array position of the descendant halo, created +during the reading of the forest file

progenitor_count

the number of progenitor this halo has

progenitor_offset

the location in the progenitor_array where the +array indices to the progenitors are stored

+

The reader also generates a progenitor_array storing the indices of the +progenitor halos for each halo. This array can be used in conjunction with +progenitor_count and progenitor_offset. See Reading a Merger Forest +for more details.

+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/simulations/index.html b/reading/simulations/index.html new file mode 100644 index 0000000..bcaa835 --- /dev/null +++ b/reading/simulations/index.html @@ -0,0 +1,360 @@ + + + + + + + Simulations — haccytrees documentation + + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Simulations

+
+

Available simulations

+
+

AlphaQ

+
+

Cosmology

+
+
\(\Omega_m\) = 0.26479
+
\(\Omega_b\) = 0.04479
+
\(\Omega_\Lambda\) = 0.73521
+
\(\sigma_8 = 0.8\)
+
+

Simulation Volume

+
+
\(L = 256 \; h^{-1}\mathrm{Mpc}\)
+
NP = 1024
+
\(m_p = 1.1483e+09 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

BorgCube

+
+

Cosmology

+
+
\(\Omega_m\) = 0.26479
+
\(\Omega_b\) = 0.04479
+
\(\Omega_\Lambda\) = 0.73521
+
\(\sigma_8 = 0.8\)
+
+

Simulation Volume

+
+
\(L = 800 \; h^{-1}\mathrm{Mpc}\)
+
NP = 2304
+
\(m_p = 3.0764e+09 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

Farpoint

+
+

Cosmology

+
+
\(\Omega_m\) = 0.30964
+
\(\Omega_b\) = 0.04897
+
\(\Omega_\Lambda\) = 0.69036
+
\(\sigma_8 = 0.8102\)
+
+

Simulation Volume

+
+
\(L = 1000 \; h^{-1}\mathrm{Mpc}\)
+
NP = 12288
+
\(m_p = 4.6317e+07 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

FarpointSV

+
+

Cosmology

+
+
\(\Omega_m\) = 0.30964
+
\(\Omega_b\) = 0.04897
+
\(\Omega_\Lambda\) = 0.69036
+
\(\sigma_8 = 0.8102\)
+
+

Simulation Volume

+
+
\(L = 250 \; h^{-1}\mathrm{Mpc}\)
+
NP = 3072
+
\(m_p = 4.6317e+07 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

LastJourney

+
+

Cosmology

+
+
\(\Omega_m\) = 0.30964
+
\(\Omega_b\) = 0.04897
+
\(\Omega_\Lambda\) = 0.69036
+
\(\sigma_8 = 0.8102\)
+
+

Simulation Volume

+
+
\(L = 3400 \; h^{-1}\mathrm{Mpc}\)
+
NP = 10752
+
\(m_p = 2.7174e+09 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

LastJourneySV

+
+

Cosmology

+
+
\(\Omega_m\) = 0.30964
+
\(\Omega_b\) = 0.04897
+
\(\Omega_\Lambda\) = 0.69036
+
\(\sigma_8 = 0.8102\)
+
+

Simulation Volume

+
+
\(L = 250 \; h^{-1}\mathrm{Mpc}\)
+
NP = 1024
+
\(m_p = 1.2506e+09 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+

OuterRim

+
+

Cosmology

+
+
\(\Omega_m\) = 0.26479
+
\(\Omega_b\) = 0.04479
+
\(\Omega_\Lambda\) = 0.73521
+
\(\sigma_8 = 0.8\)
+
+

Simulation Volume

+
+
\(L = 3000.0 \; h^{-1}\mathrm{Mpc}\)
+
NP = 10240
+
\(m_p = 1.8479e+09 \; h^{-1}M_\odot\)
+
\(z_\mathrm{start} = 200.0\)
+
\(n_\mathrm{steps} = 500\)
+
+
+
+
+
+
+

References

+
+
+class haccytrees.simulations.Cosmology(name: str, Omega_m: float, Omega_b: float, Omega_L: float, h: float, ns: float, s8: float)[source]
+
+
Parameters:
+
    +
  • name (str) –

  • +
  • Omega_m (float) –

  • +
  • Omega_b (float) –

  • +
  • Omega_L (float) –

  • +
  • h (float) –

  • +
  • ns (float) –

  • +
  • s8 (float) –

  • +
+
+
+
+
+hubble_parameter(a)[source]
+

redshift dependend Hubble parameter, H(a)

+
+ +
+
+property hubble_time
+

Hubble time in Gyr (1/H0)

+
+ +
+
+lookback_time(a)[source]
+

Lookback time in Gyr from a=1

+
+ +
+
+virial_overdensity(a)[source]
+

Bryan & Norman Delta_vir

+
+ +
+ +
+
+class haccytrees.simulations.Simulation(name: str, nsteps: int, zstart: float, zfin: float, rl: float, ng: int, np: int, cosmo: haccytrees.simulations.Cosmology, cosmotools_steps: List[int], fullalive_steps: List[int])[source]
+
+
Parameters:
+
    +
  • name (str) –

  • +
  • nsteps (int) –

  • +
  • zstart (float) –

  • +
  • zfin (float) –

  • +
  • rl (float) –

  • +
  • ng (int) –

  • +
  • np (int) –

  • +
  • cosmo (Cosmology) –

  • +
  • cosmotools_steps (List[int]) –

  • +
  • fullalive_steps (List[int]) –

  • +
+
+
+
+ +
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/subhalo_model/index.html b/reading/subhalo_model/index.html new file mode 100644 index 0000000..e4099ba --- /dev/null +++ b/reading/subhalo_model/index.html @@ -0,0 +1,236 @@ + + + + + + + Subhalo Mass Model — haccytrees documentation + + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Subhalo Mass Model

+

The HACC merger trees (unlike the core-catalogs) do not contain any substructure +information. However, it is still possible to model the mass-loss of the merging +halos, using the subhalo mass model discussed in [Sultan2020]. This model only +depends on the mass of the subhalo and the host halo at infall:

+
+\[\begin{split}m(t + \Delta t) = +\begin{cases} + m(t) \; \exp -\frac{\Delta t}{\tau} & \zeta = 0 \\ + m(t) \left[ + 1 + \zeta \left( + \frac{m(t)}{M_\mathrm{host}(t)} + \right)^\zeta \frac{\Delta t}{\tau} + \right]^{-1 / \zeta} & \mathrm{else}, +\end{cases}\end{split}\]
+

where \(\tau\) is the characteristic timescale of the subhalo mass loss (see +paper) and \(\zeta\) and \(A\) are free model parameters. In +[Sultan2020], \(\zeta=0.1\) and \(A=1.1\) have been found providing a +good fit over a large range of halo masses and redshifts.

+
+

Creating subhalo data

+

The function create_submass_data() applies this mass-model to a merger +forest and allows querying the substructure masses of any halo in the forest. It +can be used as shown in this Last Journey example, where we decide to ignore +subhalos below a mass of \(1 \times 10^{10} h^{-1}M_\odot\) and also +generate substructure statistics for each host halo:

+
subhalo_data = haccytrees.mergertrees.create_submass_data(
+    forest,
+    'LastJourney',
+    mass_threshold=1e10,
+    compute_fsub_stats=True)
+
+
+

Setting compute_fsub_stats=True will add two columns to forest, +fsubmax and fsubtot. The are defined as

+
+\[\begin{split}f_\mathrm{sub, max} &= \frac{\max_i M_\mathrm{sub}}{M_\mathrm{host}}\\ +f_\mathrm{sub, tot} &= \frac{\sum_i M_\mathrm{sub}}{M_\mathrm{host}},\end{split}\]
+

where \(i\) runs over all subhalos of the host above the mass threshold.

+
+
+

Accessing subhalos

+

Individual subhalo masses can be accessed using the subdata_offset and +subdata_size arrays in conjunction with the subhalo_data arrays. Let’s +find the subhalos of the most massive halo in our forest and plot their mass +distribution relative to the host halo:

+
target_idx = np.argmax(forest['tree_node_mass'])
+start_idx = forest['subdata_offset'][target_idx]
+end_idx = start_idx + forest['subdata_size'][target_idx]
+subhalo_masses = subhalo_data['mass'][start_idx:end_idx]
+
+fig, ax = plt.subplots(figsize=(5, 3))
+target_mass = forest['tree_node_mass'][target_idx]
+target_tnidx = forest['tree_node_index'][target_idx]
+h, e, _ = ax.hist(np.log10(subhalo_masses/target_mass), 50, histtype='step');
+ax.set(yscale='log', xlim=e[[0,-1]],
+       xlabel=r'$\log M_\mathrm{sub} \; / \; M_\mathrm{host}$',
+       ylabel=r'$N_\mathrm{sub}$')
+ax.set_title(f'Halo {target_tnidx}: {len(subhalo_masses)} subhalos')
+fig.tight_layout()
+
+
+
+../../_images/subhalo_masses.svg
+

Mass distribution of the subhalos belonging to the most massive halo in our +sample (tree_node_index=2247296630669714101, M = 1.28e15 # h-1 Msun).

+
+
+
+
+

Following subhalo evolutions

+

It is also possible to follow the (modeled) mass evolution of a merging halo as +it merges and becomes a subhalo. The following example shows how one can do +this for a merger into the halo discussed above.

+
+
+

References

+
+
+haccytrees.mergertrees.create_submass_data(forest, simulation, *, zeta=0.1, A=1.1, mass_threshold=None, compute_fsub_stats=False)[source]
+
+
Parameters:
+
    +
  • zeta (float) –

  • +
  • A (float) –

  • +
  • mass_threshold (Optional[float]) –

  • +
  • compute_fsub_stats (bool) –

  • +
+
+
+
+ +
+
+[Sultan2020] +(1,2) +

Sultan et al. (2020) +arXiv: 2012.09262

+
+
+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/reading/visualization/index.html b/reading/visualization/index.html new file mode 100644 index 0000000..7738a12 --- /dev/null +++ b/reading/visualization/index.html @@ -0,0 +1,182 @@ + + + + + + + Visualization — haccytrees documentation + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Visualization

+

[Some example script]

+../../_images/tree_example.svg +
+
+

References

+
+
+haccytrees.visualization.merger_tree_drawing(trees, progenitor_array, target_idx, *, max_steps=20, mass_threshold=10000000000.0, method='block', padding=0.05, width=1200, height=600, cmap='viridis', coloring='branch', **kwargs)[source]
+

Visualize the merger-tree as an svg

+
+
Parameters:
+
    +
  • trees (Mapping[str, ndarray]) – the full merger tree forest

  • +
  • progenitor_array (ndarray) – the progenitor array returned by haccytrees.read_forest()

  • +
  • target_idx (int) – the root index of the halo which is to be visualized

  • +
  • max_steps (int) – the number of progenitor steps that are being visualized

  • +
  • mass_threshold (float) – all progenitors below this threshold will be skipped

  • +
  • method (str) – the drawing method that determines the y-position of each progenitor. +See the notes for valid options

  • +
  • padding (float) – determines the fraction of padding along the y-axis between neighboring +progenitors

  • +
  • width (int) – the width of the svg

  • +
  • height (int) – the height of the svg

  • +
  • cmap (Union[str, Colormap]) – the colormap that is used to differentiate the branches

  • +
  • coloring (str) – if "branch", will color each branch differently. If None, all +branches will be drawn in black

  • +
  • kwargs – TODO: add additional arguments

  • +
+
+
Returns:
+

drawing – the svg

+
+
Return type:
+

drawSvg.Drawing

+
+
+
+

Notes

+

Valid methods are:

+
    +
  • recursive-center

  • +
  • recursive-bottom

  • +
  • center

  • +
  • block

  • +
  • bottom

  • +
+
+
+ +
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file diff --git a/search/index.html b/search/index.html new file mode 100644 index 0000000..b1e8047 --- /dev/null +++ b/search/index.html @@ -0,0 +1,140 @@ + + + + + + Search — haccytrees documentation + + + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+
    +
  • + +
  • +
  • +
+
+
+
+
+ + + + +
+ +
+ +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + + + + + + \ No newline at end of file diff --git a/searchindex.js b/searchindex.js new file mode 100644 index 0000000..1bdeb30 --- /dev/null +++ b/searchindex.js @@ -0,0 +1 @@ +Search.setIndex({"docnames": ["creating/index", "index", "reading/branch_matrices", "reading/examples", "reading/fragments", "reading/getting_started", "reading/layout", "reading/simulations", "reading/subhalo_model", "reading/visualization", "utils/temporary_storage"], "filenames": ["creating/index.rst", "index.rst", "reading/branch_matrices.rst", "reading/examples.rst", "reading/fragments.rst", "reading/getting_started.rst", "reading/layout.rst", "reading/simulations.rst", "reading/subhalo_model.rst", "reading/visualization.rst", "utils/temporary_storage.rst"], "titles": ["Creating Merger Forests", "HaccyTrees Documentation", "Creating Branch-Matrices", "Examples", "Dealing with Fragments", "Getting Started", "Merger Forest Layout", "Simulations", "Subhalo Mass Model", "Visualization", "Temporary 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b/utils/temporary_storage/index.html @@ -0,0 +1,386 @@ + + + + + + + Temporary Storage — haccytrees documentation + + + + + + + + + + + + + + + + + + +
+ + +
+ +
+
+
+ +
+
+
+
+ +
+

Temporary Storage

+ + + + + + + + + +

GenericIOStore

A temporary storage that uses GenericIO to save data

NumpyStore

A temporary storage that uses numpy.savez to save data

+
+

References

+
+

GenericIOStore

+
+
+class haccytrees.utils.datastores.GenericIOStore(partition, box_size, temporary_path=None)[source]
+

A temporary storage that uses GenericIO to save data

+

The data has to be a Structure-of-Arrays (SoA) (i.e. a python dictionary +str->`np.ndarray`), with each array having the same length.

+

This class behaves like a python dictionary of SoA`s. If `temporary_path +is set, the arrays associated to a key will be stored in GenericIO files, +otherwise, they will be kept in memory.

+
+
Parameters:
+
    +
  • partition (mpipartition.Partition) – A Partition instance defining the MPI layout

  • +
  • box_size (float) – the physical size of the volume

  • +
  • temporary_path (str) – The base filesystem path where temporary data is stored. If None, the +data will be kept in memory.

  • +
+
+
+
+

Examples

+
>>> # Creating a partition
+>>> partition = mpipartition.Partition()
+>>> # Creating a store
+>>> store = GenericIOStore(partition, 1.0, './tmp')
+>>> data = {x: np.random.uniform(10) for x in 'xyz'}
+>>> store['pos_0'] = data
+>>> del data
+>>> # Do some memory-expensive stuff until you need the data again...
+>>> data_0 = store['pos_0']
+>>> # Cleanup
+>>> store.remove('pos_0')
+
+
+
+
+
+__getitem__(key)[source]
+

Retrieve a Structure-of-Arrays from the store

+
+
Parameters:
+

key (str) – The storage key of the SoA

+
+
Returns:
+

The SoA associated with the key. A python dictionary of type {str: np.ndarray}

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+ +
+
+__setitem__(key, data)[source]
+

Adding an SoA to the storage

+
+
Parameters:
+
    +
  • key (str) – The storage key, will be appended to the temporary_path and +therefore has to be a valid if used in a filesystem path.

  • +
  • data (Mapping[str, ndarray]) – The SoA to be added to the store. A dictionary with types +{str: np.ndarray}, where the numpy array have to have the same shape +and dim=1.

  • +
+
+
Return type:
+

None

+
+
+
+ +
+
+get_field(key, field)[source]
+

Retrieve specific arrays in a Structure-of-Arrays from the store

+
+
Parameters:
+
    +
  • key (str) – The storage key of the SoA

  • +
  • field (Sequence[str]) – The keys of the specific arrays that are to be returned. Can be a str +or a list of str.

  • +
+
+
Returns:
+

The SoA associated with the key, with only the fields specified. +A python dictionary of type {str: np.ndarray}.

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+ +
+
+pop(key)[source]
+

Retrieve a Structure-of-Arrays from the store and remove the SoA

+
+
Parameters:
+

key (str) – The storage key of the SoA

+
+
Returns:
+

The SoA associated with the key. A python dictionary of type {str: np.ndarray}

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+ +
+
+remove(key)[source]
+

Delete a stored SoA (from memory or disk)

+
+
Parameters:
+

key (str) – The storage key of the SoA

+
+
Return type:
+

None

+
+
+
+ +
+ +
+
+

NumpyStore

+
+
+class haccytrees.utils.datastores.NumpyStore(partition, temporary_path=None)[source]
+

A temporary storage that uses numpy.savez to save data

+

The data has to be a dictionary of arrays (i.e. str->`np.ndarray`), +arrays can have variable lengths and dimensions. If temporary_path +is set, the arrays associated to a key will be stored in .npz files (one +per MPI rank), otherwise, they will be kept in memory.

+
+
Parameters:
+
    +
  • partition (mpipartition.Partition) – A Partition instance defining the MPI layout

  • +
  • temporary_path (Optional[str]) – The base filesystem path where temporary data is +stored. If None, the data will be kept in memory.

  • +
+
+
+
+

Examples

+
>>> # Creating a partition
+>>> partition = mpipartition.Partition()
+>>> # Creating a store
+>>> store = NumpyStore(partition, './tmp')
+>>> data = {x: np.random.uniform(10) for x in 'xyz'}
+>>> store['pos_0'] = data
+>>> # Do some memory-expensive stuff until you need the data again...
+>>> data_0 = store['pos_0']
+>>> # Cleanup
+>>> store.remove('pos_0')
+
+
+
+
+
+__getitem__(key)[source]
+

Retrieve a dictionary of arrays from the store

+
+
Parameters:
+

key (str) – The storage key

+
+
Returns:
+

The data associated with the key. A python dictionary of type {str: np.ndarray}

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+ +
+
+__setitem__(key, data)[source]
+

Adding a dictionary of arrays to the storage

+
+
Parameters:
+
    +
  • key (str) – The storage key, will be appended to the temporary_path and +therefore has to be a valid if used in a filesystem path.

  • +
  • data (Mapping[str, np.ndarray]) – The data to be added to the store. A dictionary with types +{str: np.ndarray}, where the numpy array can have variable shape +and dimensions.

  • +
+
+
Return type:
+

None

+
+
+
+ +
+
+pop(key)[source]
+

Retrieve stored data and remove from storage (memory or disk)

+
+
Parameters:
+

key (str) – The storage key of the data

+
+
Returns:
+

The data associated with the key. A python dictionary of type {str: np.ndarray}

+
+
Return type:
+

Mapping[str, np.ndarray]

+
+
+
+ +
+
+remove(key)[source]
+

Delete stored data associated with key (from memory or disk)

+
+
Parameters:
+

key (str) – The storage key of the data

+
+
Return type:
+

None

+
+
+
+ +
+ +
+
+
+ + +
+
+
+ +
+ +
+

© Copyright 2020, Michael Buehlmann.

+
+ + Built with Sphinx using a + theme + provided by Read the Docs. + + +
+
+
+
+
+ + + + \ No newline at end of file