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def expand_basic(state): """ Simple function which returns child states by appending an available move to current state. """ assert(len(state) < 9) # Calculte set difference to get remaining moves. n = tuple(set(range(9)) - set(state)) # Create tuple of available new states and return...
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def schedule_conv2d_winograd_nnpack_weight_transform(attrs, outs, target): """Schedule conv2d_winograd_nnpack_weight_transform""" with target: return topi.generic.schedule_conv2d_winograd_nnpack_weight_transform(outs)
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def bce_loss(input, target): """ Numerically stable version of the binary cross-entropy loss function. As per https://github.com/pytorch/pytorch/issues/751 See the TensorFlow docs for a derivation of this formula: https://www.tensorflow.org/api_docs/python/tf/nn/sigmoid_cross_entropy_with_logits ...
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from typing import List def query_normalised_list(x: str or None, ref: List[NormalisedName]) -> str: """ Internal method for querying a channel/marker against a reference list of NormalisedName's Parameters ---------- x: str or None channel/marker to query ...
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def get_reachable_observed_variables_for_inferred_variables(model, observed=set()): """ After performing inference on a BayesianModel, get the labels of observed variables ("reachable observed variables") that influenced the beliefs of variables inferred to be in a definite state. Args mode...
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from typing import Dict import logging def load_bias(dataset_name, filtered=False) -> Dict[str, np.ndarray]: """Loads the output of our bias-only model Note that since this produces per-token output, it is only valid on data with the same tokenization as our annotated data. """ if filtered: bias_ids = ...
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def isbuildin(name: str) -> bool: """[summary] Checks if name is a keyword or build-in function [description] Arguments: name {str} -- name to be checked Returns: bool -- true if it is a build-in """ blacklist = ["abs", "delattr", "hash", "memoryview", "set", "all", "dict"...
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def find_dip(pulls): """Find the longest sequence of significant observations in the data""" significant = pulls > 3. if np.sum(significant) == 0: return 0, 0 # Find indices of start and end of each significant sequence changes = np.diff(np.hstack(([False], significant, [False]))) sign...
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def clip_weights(model, weight_constraint): """ Clip weights of a keras model to be bounded by given constraints. Parameters ---------- model: keras model object model for which weights need to be clipped weight_constraint: Returns ------- model: keras model object ...
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def scatter_wrapper( self, func, *args, s=None, size=None, markersize=None, c=None, color=None, markercolor=None, smin=None, smax=None, cmap=None, cmap_kw=None, vmin=None, vmax=None, norm=None, norm_kw=None, lw=None, linewidth=None, linewidths=None, markeredgewidth=None, markeredgewidths=Non...
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from datetime import datetime def _coerce_loc_index(divisions, o): """Transform values to be comparable against divisions This is particularly valuable to use with pandas datetimes """ if divisions and isinstance(divisions[0], datetime): return pd.Timestamp(o) if divisions and isinstance(...
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def triplet_loss(anchor_vector, positive_vector, negative_vector, metric='cosine_dist', margin=0.009): """Computes the triplet loss with semi-hard negative mining. The loss encourages the positive distances (between a pair of embeddings with the same labels) to be smaller than the minimum negative distance ...
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import hashlib def get_file_hash(filepath: str, blocksize: int = 2**20) -> str: """Return the hash of the given file, with a default blocksize of 1MiB.""" _hash = hashlib.md5() if not isfile(filepath): return _hash with open(filepath, "rb") as f: while True: buffer = f.re...
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def get_stopwords(): """common stopwords to skip when checking for article names (derived from nltk) """ return [ "i", "me", "my", "myself", "we", "our", "out", "ours", "ourselves", "you", "your", "he", "...
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def test_io_dataset_to_in_dataset(fixture_lookup, io_dataset_fixture): """test_io_dataset_to_in_dataset""" args, func, data_func = fixture_lookup(io_dataset_fixture) def f(v): dataset = tf.data.Dataset.range(1000) dataset = dataset.batch(15) dataset = dataset.map(tf.strings.as_string) dataset = d...
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def convert_operation_to_task(operation): """Converts an Operation to a legacy Task.""" result = _convert_dict( operation['metadata'], { 'createTime': ('creation_timestamp_ms', _convert_timestamp_to_msec), 'updateTime': ('update_timestamp_ms', _convert_timestamp_to_msec), 'startT...
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def augment_with_derivatives(V=None, theta=None, M=None, tol=1E-8, symm=True, deflate=True): """ Make a linear basis containing the subspace spanned by V and a third order tensor theta e.g. from modal derivatives by deflation. Parameters ---------- V : ndarray linear basis theta : n...
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from typing import Union def fomc_statement( dates: Union[str, list[str], None] = None, asDict: bool = False, ) -> Union[pd.DataFrame, dict]: """ Get FOMC statements for given date or dates. `dates`: YYYY-MM-DD, or 'current', or 'previous'. `asDict`: True or False, will return as dictionary i...
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def lambda_handler(event, context): """ This is the entry point for the lambda. It will call the main handler, which is within a try/catch so that we can efficiently log any unhandled exceptions to Cloudwatch/Splunk. Args: event (dictionary): contains event data passed in by AWS Lambda ...
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from textwrap import dedent def get_device_number(connection_str): """Return the integer device number from the connection string or raise ValueError if the connection string is not in the format "device <n>" with positive n.""" try: prefix, num = connection_str.split(' ') num = int(num) ...
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from click.testing import CliRunner def runner(): """Returns a ```click.testing.CliRunner()`` instance.""" return CliRunner()
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def bent_plume_ic(profile, particles, Qj, A, D, X, phi_0, theta_0, Tj, Sj, Pj, rho_j, cj, chem_names, tracers, p): """ Build the Lagragian plume state space given the initial conditions Constructs the initial state space for a Lagrangian plume element from the initial values for...
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def GetMatrixBase(dim, val = 0): """Return matrix base, with a single sand grain in the middle""" m = np.ones(dim) * val SandFalling(m, 1) return m
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def are_resize_confirm_logs_created(logs, instance, guest_hb=False): """ Check if resize-confirm logs have been created """ expected_logs = [{'event_log_id': fm_constants.FM_LOG_ID_VM_RESIZE_CONFIRM, 'severity': fm_constants.FM_ALARM_SEVERITY_CRITICAL}, {'event...
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def find_second_largest2(root_node): """ Time: O(h) Space: O(h) h: height of the tree (O(lg n)); n: # of nodes """ def find_largest(node): if node is None: raise ValueError('Tree must have at least 1 node') if node.right is not None: return find_largest(...
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from bs4 import BeautifulSoup import html def parse_team_totals(page): """ gets only the totals for a team from the box score of a game (i.e. the last row) """ soup = BeautifulSoup(page, features='lxml') scorebox = soup.find('div', {'class':'scorebox'}) teams = [TEAM_NAME_TO_TEAM(item.text...
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def ball(p, radius, mass=-1): """Creates a ball that reacts to gravity. :param p: The center point of the ball :type p: (int, int) :param radius: The radius of the ball :type radius: int :param mass: The mass of the shape (defaults to 1) :type mass: int :rtype: shape """ return...
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import torch from typing import List from typing import Any def decode_actions( node_logits: torch.Tensor, parent_label_logits: torch.Tensor, new_label_logits: torch.Tensor, label_vocab: List[Label], ) -> List[Any]: """ Decode the most likely actions from action logits for the attach-juxtapose...
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def timetz_pack(timetup_tz, dl_pack = dl_pack, mktime = mktime): """ Pack a time; offset from beginning of the day and timezone offset. Given a pair, ((seconds, microseconds), timezone_offset), pack it into its serialized form: "!dl". """ (timetup, tz_offset) = timetup_tz return dl_pack((mktime(timetup), tz_off...
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import inspect def authentication_exempt(handler): """Mark the endpoint handler as not requiring authentication. Note: This only applies when the authentication_required_middleware is being used. """ # Can't set attributes directly on a bound method so we need to # wrap it in a fu...
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def make_scan(headers, light_ROI=[0, np.inf, 0, np.inf], curvature=np.array([0., 0., 0.]), bins=1, ADU_per_photon=1, detector='rixscam_centroids', min_threshold=-np.inf, max_threshold=np.inf, background=None): """ Make 4D array of RIXS spectra with structu...
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import functools def print_args(function): """Decorate the given function to print out it's arguments and return val if not None """ @functools.wraps(function) def wrapper(*args, **kwargs): bound_arguments = bind_args(function, *args, **kwargs) print("{name}({call})".format( ...
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def load_data(cutoff: float) -> DataFrame: """ Loads descriptors and binding data for given cutoff. """ # Load ECIF ecif = pd.read_csv(f'Descriptors/ECIF_{cutoff}.csv') # Load ligand descriptors ligand_descriptors = pd.read_csv("Descriptors/RDKit_Descriptors.csv") # Load binding affinity...
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def phys2digital(mvolts): """ Obtains the digital difference value in the signal that corresponds to a certain physical magnitude variation. """ return mvolts * ADCGain
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from typing import Any def resolve_mock_target(target: Any) -> str: """ `mock.patch` uses a str-representation of an object to find it, but this doesn't play well with refactors and renames. This method extracts the str-representation of an object. This method will not handle _all_ kinds of objects, ...
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import math import heapq def a_star_dist(start_state: frozenset, end_state: frozenset): """A* algorithm to calculate minimum energy needed to traverse the given states.""" start_node = Node(0, start_state) open_pq = [start_node] g_scores = defaultdict(lambda: math.inf) g_scores[start_state] = 0 ...
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def get_calc_data(stock_code, s, e, fq='qfq', drop_columns=['code', 'preclose', 'adj'], scaler=['amount', 'volume'], scaler_func=sklearn.preprocessing.MinMaxScaler): """获取计算用数据源 Args: fq: 是否采用复权数据。默认使用前复权。如果不需要复权则传''即可。 stock_code: s...
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def encode_add_validator_and_reconfigure_script( sliding_nonce: st.uint64, validator_name: bytes, validator_address: AccountAddress ) -> Script: """# Summary Adds a validator account to the validator set, and triggers a reconfiguration of the system to admit the account to the validator set for the syst...
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import numpy def get_microphone(): """Return raw data from microphone as Numpy array Default format will be 16-bit signed mono. Format will match audio playback. You must call tick() every frame to update the results from this function. """ glock.acquire() d = gmicdata glock.releas...
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from typing import OrderedDict from typing import ChainMap def _expand_arrays(raw_variables, old_variables={}, compat='identical'): """Expand a dictionary of variables. Returns a dictionary of Variable objects suitable for inserting into a Dataset._arrays dictionary. This includes converting tuples ...
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import logging def redundant_peaks(usrdata): """Remove redundant, often ambiguous peaks by keeping the peak with the highest ion score""" peaks = usrdata.sort_values(by="IonScore", ascending=False).drop_duplicates( subset=["SpectrumFile", "SequenceModi", "Charge", "PrecursorArea"] ) peaks[...
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import importlib def getattr_in_module(module_name: str, func_name: str): """ 在某个模块中获取属性 Args: module_name: 模块名 func_name: 属性名 Returns: 属性 """ m = importlib.import_module(module_name) return getattr(m, func_name)
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def codeblock(request): """Parametrized fixture of each convention codeblock.""" return request.param
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import numpy def cp_ls_cholesky_factor_objective(beta_gamma, norb, nthc, cholesky_factor, calcgrad=False): """cholesky_factor is reshaped into (norb, norb, num_cholesky) Cholesky factor B_{ab,x} Least squares fit objective ||B_{ab,x} - \sum_{r}beta_{a,x}beta_{b,x}gamma_{ab,x}|| This function provid...
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def volumes(jukebox_name, slot_id=[], as_object=False, p5_connection=None): """ Syntax: Jukebox <name> volumes Description: Returns a list of all volumes currently loaded in the <name> jukebox. To update the list of the volumes in the jukebox, use the inventory method. Return Values: -On Suc...
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def calculate_psi(cube, cfg): """Calculate temperature variability metric psi for a given cube.""" window_length = cfg.get('window_length', 55) lag = cfg.get('lag', 1) psi_years = [] psis = [] # Moving average for yr_idx in range(cube.shape[0] - window_length): slc = slice(yr_idx, y...
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import torch def _get_product_features(x: torch.Tensor, y: torch.Tensor) -> torch.Tensor: """ Get outer product of 2 tensors along the last dimension. All dimensions except last are preserved. The last dimension is replaced with flattened outer products of last-dimension-vectors from input tensors...
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def resume_job(args, wording): """ used by fg and bg to resume a job either in the foreground or in the background. """ _clear_dead_jobs() if len(tasks) == 0: return "", "There are currently no suspended jobs" if len(args) == 0: tid = tasks[0] # take the last manipulated task b...
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def drop_me(message): """This function removes user/chat id into a database. Parameters ---------- message : telebot.types.Message The message object. Returns ------- msg : str User/Chat alert list addition/removal. """ helpers.start_connection().query(""" DELETE FROM `mooncake-304003.misc.ps5-broa...
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def cmpd_to_pt(cmpd, els): """ Args: cmpd (str) - chemical formula els (list) - ordered list of elements (str) in triangle (right, top, left) Returns: (x, y) for compound """ tri = [CompAnalyzer(cmpd).fractional_amt_of_el(el) for el in els] return triangle_to_square(...
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def si_unit_lookup_table(units=UNITS): """ Creates a lookup table from all possible input unit names and symbols to their corresponding SI unit. """ return { **{ u.name: (u.si_equivalent, u.coefficient) for u in units if u.name is not None}, **{ u.symbol: (u.si_equivalent...
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def image_get_all(client, filters=None, marker=None, limit=None, sort_key='created_at', sort_dir='desc', member_status='accepted', is_public=None, admin_as_user=False): """ Get all images that match zero or more filters. :param filters: dict of filter k...
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import urllib import json def handleDBS(reqmgrOutDsets, cmswebUrl): """ Get total number of lumi sections in each dataset """ if 'testbed' in cmswebUrl: dbsUrl = cmswebUrl + "/dbs/int/global/DBSReader/" else: dbsUrl = cmswebUrl + "/dbs/prod/global/DBSReader/" dbsOutput = {} ...
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def get_sub_folders(session, ds_browser, ds_path): """Return a set of subfolders for a path on a datastore. If the path does not exist then an empty set is returned. """ search_task = session._call_method( session._get_vim(), "SearchDatastore_Task", ds_browser, ...
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import requests def stock_board_concept_cons_em(symbol: str = "车联网") -> pd.DataFrame: """ 东方财富-沪深板块-概念板块-板块成份 http://quote.eastmoney.com/center/boardlist.html#boards-BK06551 :param symbol: 板块名称 :type symbol: str :return: 板块成份 :rtype: pandas.DataFrame """ stock_board_concept_em_map ...
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import torch def jittered_center_crop(frames, box_extract, box_gt, search_area_factor, output_sz, masks=None): """ For each frame in frames, extracts a square crop centered at box_extract, of area search_area_factor^2 times box_extract area. The extracted crops are then resized to output_sz. Further, the co-o...
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def bayesquad(fun, fun0, bounds, nevals=None, type="vanilla", **kwargs): """ One-dimensional Bayesian quadrature. Parameters ---------- fun : function Function to be integrated. fun0 : RandomProcess Stochastic process modelling the function to be integrated. bounds : ndarray...
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def track(): """ RESTful CRUD controller """ if deployment_settings.get_security_map() and not shn_has_role("MapAdmin"): unauthorised() resource = request.function table = module + "_" + resource # Model options # used in multiple controllers, so defined in model # CRUD Strings ...
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def slice_or_index(index): """Return index or slice the array [:].""" return slice(None) if index is None else index
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def get_driver(): """Returns current driver.""" return _driver
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import torch def transform_points(trans_01, points_1): """ Function that applies transformations to a set of points. """ if not (trans_01.device == points_1.device and trans_01.dtype == points_1.dtype): raise TypeError( "Tensor must be in the same device and dtype. " ...
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def insert(*entities, **options): """ bulk inserts the given entities. note that entities must be from the same type. :param BaseEntity entities: entities to be inserted. :keyword int chunk_size: chunk size to insert values. after each chunk, store will be committed. ...
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def batch_resample(X, new_dim, mode="bilinear"): """ Resample each image (or similar grid-based 2D signal) in a batch to `new_dim` using the specified resampling strategy. Parameters ---------- X : :py:class:`ndarray <numpy.ndarray>` of shape `(n_ex, in_rows, in_cols, in_channels)` An i...
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def register(request): """ Sets a session variable and redirects users to register for BCeID """ if settings.DEPLOYMENT_TYPE == 'localdev': return render(request, 'localdev/register.html') request.session['went_to_register'] = True return redirect(settings.REGISTER_BCEID_URL)
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def get_bits(byte_size, number): """Returns last byte_size*8 bits from number.""" res = [] for i in range(byte_size * 8): res.append(str(number % 2)) number //= 2 res.reverse() return res
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import copy def greedy_find_path(entrance, exits, corridors): """ Find ANY path connecting input and output, """ print("corridors at start: ", corridors) #max_flow = float("inf") # Not the case. #if entrance in exits: # return 1/0 cur_pos = entrance path = [entrance] ...
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import time def blacklist_chat(chat_id: int, reason: str): """ BLACKLIST A CHAT """ c.execute( """ UPDATE chats SET blacklisted = 1 WHERE chat_id=? """, (chat_id,), ) c.execute( """ INSERT INTO reas...
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from pathlib import Path def load_artefacts_from_file(file_path: Path) -> Artefacts: """ Load an artefacts file. Args: file_path: path to the artefacts file Returns: the artefacts created from the given file """ documents = load_yaml(file_path) version_header = VersionHea...
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def date(date): """Return a date object representing the ISO 8601 date. :param date: The ISO 8601 date. :return: boolean """ return runner(date, r.dates)
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from typing import Optional def get_mean_var( array: np.ndarray, axis: Optional[int] = None, weights: Optional[np.ndarray] = None, ): """Calculate average and variance of an array.""" average = np.average(array, axis=axis, weights=weights) variance = np.average((array - average) ** 2, axis=axi...
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import json from networkx.readwrite import json_graph def write_nxgraph_to_json(g, output): """ Write a networkx graph as JSON to the specified output Args: g (networkx.Graph): graph to write as JSON output (filelike): output to write to """ jsond = json_graph.node_link_data(g) ...
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import random def heterogeneous_length(chromosome, generator, probability): """Return a mutant made through point mutation that may grow or shrink. In this scheme, mutated alleles will be replaced with a value provided by calling ``generator``. It is suitable for use with list encoding. Be warned tha...
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from typing import Optional from typing import List def clean_eisenhower(raw_eisen: Optional[List[str]]) -> List[str]: """Clean the raw Eisenhower values from Notion.""" if raw_eisen is None: return [] return [e for e in raw_eisen if e != '']
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import struct def binary(num): """ calculate R, G, B components from bytes number :param num: int :return: list """ packed = struct.pack('!f', num) integers = [ord(c) for c in packed] return integers
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def giou_loss(pred, target, eps=1e-6): """IoU loss. Computing the IoU loss between a set of predicted bboxes and target bboxes. The loss is calculated as negative log of IoU. Args: pred (Tensor): Predicted bboxes of format (x1, y1, x2, y2), shape (n, 4). target (Tensor): Co...
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def raw(text): """Returns a raw string representation of text""" new_string='' for char in text: try: new_string+=escape_dict[char] except KeyError: new_string+=char return new_string
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def queries_to_retract_from_unioned_dataset(project_id, dataset_id, sandbox_dataset_id, pid_table_id): """ Get list of queries to remove all records in all tables associated with supplied ids :param project_id: identifies associated project :param dataset_id: identifies associated dataset :param sa...
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def get_instance_type(entity_name, instance_dict=None): """ :param entity_name: name of an entity; :param instance_dict: dictionary that contains the instance type of each entity; :return: the instance type of the provided entity; Get the instance type of a given entity, as specified by the ins...
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def file_keyword(request): """Return multiple possible styles for the bumpsemver:file keyword.""" return request.param
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def get_compound(name): """Get a workspace compound by name as a dictionary""" return get_object(name)
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import dateutil def parse_iso_date(date): """ Parses and returns a human-readable date from a ISO datetime. Args: date (string): ISO datetime. Returns: The date in a more human-readable format. """ if date is None: return "an unknown time" parsed = dateutil.parse...
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def deconvolve_tf(y: np.ndarray, x: np.ndarray, C: np.ndarray, kernel: np.ndarray, lam: float, gam: float, n_iters: int = 200, k: int = 3, natural: bool = True, clip: bool = False) -> np.ndarray: """ Perform deconvolut...
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from typing import Tuple def get_bounds(features: list) -> Tuple[np.array, np.array]: """Given a list of feature names, generate a numpy array with the bounds for the optimization and the variable types. Args: features (list): List of feature names, following the convention from the L...
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def findNeighbors(g, r, c): """ Check all neighbors of cell at row r, column c in grid g to find the count of all living neighbor cells """ nAlive = checkArray(g, r-1, c-1) + checkArray(g, r-1, c) + \ checkArray(g, r-1, c+1) + checkArray(g, r+1, c-1) + \ checkArray(g, r+1, c) + check...
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def summarize_results(warmup_rewards, rewards): """ Print a summary of running a Bandit algorithm for a number of runs """ warmup_reward = warmup_rewards.sum() rewards = rewards.sum(axis=-1) r_mean = rewards.mean() r_std = rewards.std() r_total = r_mean + warmup_reward print(f"Expec...
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def extract_zone(zone_url): """Given zone URL (as in instance['zone']) returns zone name.""" zone = zone_url[zone_url.rfind('/')+1:] assert is_valid_zone(zone), zone return zone
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def forward_transfer_metrics(*, experience=False, stream=False): """ Helper method that can be used to obtain the desired set of plugin metrics. :param experience: If True, will return a metric able to log the forward transfer on each evaluation experience. :param stream: If True, will retu...
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def tail(f, lines=10): """ Get the n last lines from file f """ if lines == 0: return "" BUFSIZ = 1024 f.seek(0, 2) bytes = f.tell() size = lines + 1 block = -1 data = [] while size > 0 and bytes > 0: if bytes - BUFSIZ > 0: # Seek back one whole BUFSIZ ...
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def get_traffic_matrix(n, scale: float = 100, fixed_total: float = None) -> np.ndarray: """ Creates a traffic matrix of size n x n using the gravity model with independent exponential distributed weight vectors :param n: size of network (# communication nodes) :param scale: used for generating the expon...
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def rectMask(size, corner=[0,0], dimensions=[0,0], channels=3): """ Create a mask in the shape of a (non-rotated) rectangle, in which the inside of the rectangle is the desired region. Parameters ---------- size : [int, int] or [int, int, int] The size of the mask to be created (height...
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def getCoursebycourseCredit(courseCredit): """ 根据学分查询课程 """ return generalGet('course', 0, 'courseCredit = \'{}\''.format(courseCredit))
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def main(brute_force=False, grid_width=3, sample_size=10000): """ :param brute_force: boolean - if True then grid width must be less than or equal to 3 :param grid_width: One dimension of a square grid - e.g. value of 3 = grid of 3x3 :param sample_size: sample size if using sampling - number of uni...
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def get_E_beta_3(parameter, fid, did, N_data, N_flow): """ Predict the expected response for a set of combinations between different models and datasets Parameters ---------- parameter: numpy.ndarray The estimated parameters for the Beta-3 IRT model. fid: numpy.ndarray A (n_tes...
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import torch def l1_gradient(x: torch.Tensor, *, zero_tol: float = 0., subgradient_samples: np.ndarray = None) -> torch.Tensor: """ Compute all the possible gradient of the 1-norm |x|₁ Notice that when x(i)=0, the 1-norm is non-differentiable. We consider ...
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from datetime import datetime from typing import cast def _is_visible_with_salt(ra: Quantity, dec: Quantity, t: datetime) -> bool: """ Checks whether a target is visible by SALT. Parameters ---------- ra: Quantity Right ascension. dec: Quantity Declination. t: datetime ...
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def sorted_date_list(df, col_collect: str): """ Builds a sorted list of every value for a date column in a given DataFrame :param df: data to analyze :param col_collect: column to analyze :return: list """ try: logger.info("Order Date List") return sorted([x.operation_date fo...
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def get_tags(blog_id, username, password): """ wp.getTags(blog_id, username, password) => tag structure[] """ authenticate(username, password) return [tag_structure(tag) for tag in Tag.objects.usage_for_queryset( Post.is_publish.all(), counts=True)]
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def add_scalebar( ax, left, right, label, fontsize=15, ax_y=-0.01, ): """ """ ax.hlines(ax_y, left, right, color='k', linewidth=3, transform=ax.get_xaxis_transform(), clip_on=False, ) ax.text(right, ax_y-0.01, label, va='top', ha='rig...
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from functools import partial from multiprocessing import pool def mol_wt_from_smiles(smiles, workers=1): """ Calculate molecular weights for molecules represented by SMILES strings. Args: smiles (list or str): List of SMILES strings. workers (int): Number of parallel threads to use for ...
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def PolyArea(x, y): """Calculate area of polygon given (x,y) coordinates (Shoelace formula) :param x: np.ndarray(N, ) :param y: np.ndarray(N, ) :return: area """ return 0.5 * np.abs(np.dot(x, np.roll(y, 1)) - np.dot(y, np.roll(x, 1)))
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