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set_type
Set the main type and subtype for the Content-Type header. type must be a string in the form "maintype/subtype", otherwise a ValueError is raised. This method replaces the Content-Type header, keeping all the parameters in place. If requote is False, this leaves the existing header's quoting as is. Otherwise, the parameters will be quoted (the default). An alternative header can be specified in the header argument. When the Content-Type header is set, we'll always also add a MIME-Version header.
def set_type(self, type, header='Content-Type', requote=True): """Set the main type and subtype for the Content-Type header. type must be a string in the form "maintype/subtype", otherwise a ValueError is raised. This method replaces the Content-Type header, keeping all the parameters in place. If requote is False, this leaves the existing header's quoting as is. Otherwise, the parameters will be quoted (the default). An alternative header can be specified in the header argument. When the Content-Type header is set, we'll always also add a MIME-Version header. """ # BAW: should we be strict? if not type.count('/') == 1: raise ValueError # Set the Content-Type, you get a MIME-Version if header.lower() == 'content-type': del self['mime-version'] self['MIME-Version'] = '1.0' if header not in self: self[header] = type return params = self.get_params(header=header, unquote=requote) del self[header] self[header] = type # Skip the first param; it's the old type. for p, v in params[1:]: self.set_param(p, v, header, requote)
(self, type, header='Content-Type', requote=True)
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20,676
email.message
set_unixfrom
null
def set_unixfrom(self, unixfrom): self._unixfrom = unixfrom
(self, unixfrom)
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20,677
email.message
values
Return a list of all the message's header values. These will be sorted in the order they appeared in the original message, or were added to the message, and may contain duplicates. Any fields deleted and re-inserted are always appended to the header list.
def values(self): """Return a list of all the message's header values. These will be sorted in the order they appeared in the original message, or were added to the message, and may contain duplicates. Any fields deleted and re-inserted are always appended to the header list. """ return [self.policy.header_fetch_parse(k, v) for k, v in self._headers]
(self)
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20,678
email.iterators
walk
Walk over the message tree, yielding each subpart. The walk is performed in depth-first order. This method is a generator.
def walk(self): """Walk over the message tree, yielding each subpart. The walk is performed in depth-first order. This method is a generator. """ yield self if self.is_multipart(): for subpart in self.get_payload(): yield from subpart.walk()
(self)
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20,679
http.client
HTTPSConnection
This class allows communication via SSL.
class HTTPSConnection(HTTPConnection): "This class allows communication via SSL." default_port = HTTPS_PORT # XXX Should key_file and cert_file be deprecated in favour of context? def __init__(self, host, port=None, key_file=None, cert_file=None, timeout=socket._GLOBAL_DEFAULT_TIMEOUT, source_address=None, *, context=None, check_hostname=None, blocksize=8192): super(HTTPSConnection, self).__init__(host, port, timeout, source_address, blocksize=blocksize) if (key_file is not None or cert_file is not None or check_hostname is not None): import warnings warnings.warn("key_file, cert_file and check_hostname are " "deprecated, use a custom context instead.", DeprecationWarning, 2) self.key_file = key_file self.cert_file = cert_file if context is None: context = ssl._create_default_https_context() # send ALPN extension to indicate HTTP/1.1 protocol if self._http_vsn == 11: context.set_alpn_protocols(['http/1.1']) # enable PHA for TLS 1.3 connections if available if context.post_handshake_auth is not None: context.post_handshake_auth = True will_verify = context.verify_mode != ssl.CERT_NONE if check_hostname is None: check_hostname = context.check_hostname if check_hostname and not will_verify: raise ValueError("check_hostname needs a SSL context with " "either CERT_OPTIONAL or CERT_REQUIRED") if key_file or cert_file: context.load_cert_chain(cert_file, key_file) # cert and key file means the user wants to authenticate. # enable TLS 1.3 PHA implicitly even for custom contexts. if context.post_handshake_auth is not None: context.post_handshake_auth = True self._context = context if check_hostname is not None: self._context.check_hostname = check_hostname def connect(self): "Connect to a host on a given (SSL) port." super().connect() if self._tunnel_host: server_hostname = self._tunnel_host else: server_hostname = self.host self.sock = self._context.wrap_socket(self.sock, server_hostname=server_hostname)
(host, port=None, key_file=None, cert_file=None, timeout=<object object at 0x7fbc93ea0e50>, source_address=None, *, context=None, check_hostname=None, blocksize=8192)
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20,680
http.client
__init__
null
def __init__(self, host, port=None, key_file=None, cert_file=None, timeout=socket._GLOBAL_DEFAULT_TIMEOUT, source_address=None, *, context=None, check_hostname=None, blocksize=8192): super(HTTPSConnection, self).__init__(host, port, timeout, source_address, blocksize=blocksize) if (key_file is not None or cert_file is not None or check_hostname is not None): import warnings warnings.warn("key_file, cert_file and check_hostname are " "deprecated, use a custom context instead.", DeprecationWarning, 2) self.key_file = key_file self.cert_file = cert_file if context is None: context = ssl._create_default_https_context() # send ALPN extension to indicate HTTP/1.1 protocol if self._http_vsn == 11: context.set_alpn_protocols(['http/1.1']) # enable PHA for TLS 1.3 connections if available if context.post_handshake_auth is not None: context.post_handshake_auth = True will_verify = context.verify_mode != ssl.CERT_NONE if check_hostname is None: check_hostname = context.check_hostname if check_hostname and not will_verify: raise ValueError("check_hostname needs a SSL context with " "either CERT_OPTIONAL or CERT_REQUIRED") if key_file or cert_file: context.load_cert_chain(cert_file, key_file) # cert and key file means the user wants to authenticate. # enable TLS 1.3 PHA implicitly even for custom contexts. if context.post_handshake_auth is not None: context.post_handshake_auth = True self._context = context if check_hostname is not None: self._context.check_hostname = check_hostname
(self, host, port=None, key_file=None, cert_file=None, timeout=<object object at 0x7fbc93ea0e50>, source_address=None, *, context=None, check_hostname=None, blocksize=8192)
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20,694
http.client
connect
Connect to a host on a given (SSL) port.
def connect(self): "Connect to a host on a given (SSL) port." super().connect() if self._tunnel_host: server_hostname = self._tunnel_host else: server_hostname = self.host self.sock = self._context.wrap_socket(self.sock, server_hostname=server_hostname)
(self)
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-0.008358649909496307, 0.007483281195163727, 0.04884108901023865, 0.03515840321779251 ]
20,703
mureq
Response
Response contains a completely consumed HTTP response. :ivar str url: the retrieved URL, indicating whether a redirection occurred :ivar int status_code: the HTTP status code :ivar http.client.HTTPMessage headers: the HTTP headers :ivar bytes body: the payload body of the response
class Response: """Response contains a completely consumed HTTP response. :ivar str url: the retrieved URL, indicating whether a redirection occurred :ivar int status_code: the HTTP status code :ivar http.client.HTTPMessage headers: the HTTP headers :ivar bytes body: the payload body of the response """ __slots__ = ('url', 'status_code', 'headers', 'body') def __init__(self, url, status_code, headers, body): self.url, self.status_code, self.headers, self.body = url, status_code, headers, body def __repr__(self): return f"Response(status_code={self.status_code:d})" @property def ok(self): """ok returns whether the response had a successful status code (anything other than a 40x or 50x).""" return not (400 <= self.status_code < 600) @property def content(self): """content returns the response body (the `body` member). This is an alias for compatibility with requests.Response.""" return self.body def raise_for_status(self): """raise_for_status checks the response's success code, raising an exception for error codes.""" if not self.ok: raise HTTPErrorStatus(self.status_code) def json(self): """Attempts to deserialize the response body as UTF-8 encoded JSON.""" import json as jsonlib return jsonlib.loads(self.body) def _debugstr(self): buf = io.StringIO() print("HTTP", self.status_code, file=buf) for k, v in self.headers.items(): print(f"{k}: {v}", file=buf) print(file=buf) try: print(self.body.decode('utf-8'), file=buf) except UnicodeDecodeError: print(f"<{len(self.body)} bytes binary data>", file=buf) return buf.getvalue()
(url, status_code, headers, body)
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20,704
mureq
__init__
null
def __init__(self, url, status_code, headers, body): self.url, self.status_code, self.headers, self.body = url, status_code, headers, body
(self, url, status_code, headers, body)
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20,705
mureq
__repr__
null
def __repr__(self): return f"Response(status_code={self.status_code:d})"
(self)
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20,706
mureq
_debugstr
null
def _debugstr(self): buf = io.StringIO() print("HTTP", self.status_code, file=buf) for k, v in self.headers.items(): print(f"{k}: {v}", file=buf) print(file=buf) try: print(self.body.decode('utf-8'), file=buf) except UnicodeDecodeError: print(f"<{len(self.body)} bytes binary data>", file=buf) return buf.getvalue()
(self)
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20,707
mureq
json
Attempts to deserialize the response body as UTF-8 encoded JSON.
def json(self): """Attempts to deserialize the response body as UTF-8 encoded JSON.""" import json as jsonlib return jsonlib.loads(self.body)
(self)
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20,708
mureq
raise_for_status
raise_for_status checks the response's success code, raising an exception for error codes.
def raise_for_status(self): """raise_for_status checks the response's success code, raising an exception for error codes.""" if not self.ok: raise HTTPErrorStatus(self.status_code)
(self)
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20,709
mureq
TooManyRedirects
TooManyRedirects is raised when automatic following of redirects was enabled, but the server redirected too many times without completing.
class TooManyRedirects(HTTPException): """TooManyRedirects is raised when automatic following of redirects was enabled, but the server redirected too many times without completing.""" pass
null
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20,710
mureq
UnixHTTPConnection
UnixHTTPConnection is a subclass of HTTPConnection that connects to a Unix domain stream socket instead of a TCP address.
class UnixHTTPConnection(HTTPConnection): """UnixHTTPConnection is a subclass of HTTPConnection that connects to a Unix domain stream socket instead of a TCP address. """ def __init__(self, path, timeout=DEFAULT_TIMEOUT): super(UnixHTTPConnection, self).__init__('localhost', timeout=timeout) self._unix_path = path def connect(self): sock = socket.socket(socket.AF_UNIX, socket.SOCK_STREAM) try: sock.settimeout(self.timeout) sock.connect(self._unix_path) except Exception: sock.close() raise self.sock = sock
(path, timeout=15.0)
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20,711
mureq
__init__
null
def __init__(self, path, timeout=DEFAULT_TIMEOUT): super(UnixHTTPConnection, self).__init__('localhost', timeout=timeout) self._unix_path = path
(self, path, timeout=15.0)
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20,725
mureq
connect
null
def connect(self): sock = socket.socket(socket.AF_UNIX, socket.SOCK_STREAM) try: sock.settimeout(self.timeout) sock.connect(self._unix_path) except Exception: sock.close() raise self.sock = sock
(self)
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-0.008768923580646515, 0.005947773810476065, 0.02418641559779644, 0.032595954835414886 ]
20,734
mureq
_check_redirect
Return the URL to redirect to, or None for no redirection.
def _check_redirect(url, status, response_headers): """Return the URL to redirect to, or None for no redirection.""" if status not in (301, 302, 303, 307, 308): return None location = response_headers.get('Location') if not location: return None parsed_location = urllib.parse.urlparse(location) if parsed_location.scheme: # absolute URL return location old_url = urllib.parse.urlparse(url) if location.startswith('/'): # absolute path on old hostname return urllib.parse.urlunparse((old_url.scheme, old_url.netloc, parsed_location.path, parsed_location.params, parsed_location.query, parsed_location.fragment)) # relative path on old hostname old_dir, _old_file = os.path.split(old_url.path) new_path = os.path.join(old_dir, location) return urllib.parse.urlunparse((old_url.scheme, old_url.netloc, new_path, parsed_location.params, parsed_location.query, parsed_location.fragment))
(url, status, response_headers)
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20,735
mureq
_prepare_body
null
def _prepare_body(body, form, json, headers): if body is not None: if not isinstance(body, bytes): raise TypeError('body must be bytes or None', type(body)) return body if json is not None: _setdefault_header(headers, 'Content-Type', _JSON_CONTENTTYPE) import json as jsonlib return jsonlib.dumps(json).encode('utf-8') if form is not None: _setdefault_header(headers, 'Content-Type', _FORM_CONTENTTYPE) return urllib.parse.urlencode(form, doseq=True) return None
(body, form, json, headers)
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20,736
mureq
_prepare_incoming_headers
null
def _prepare_incoming_headers(headers): headers_dict = {} for k, v in headers.items(): headers_dict.setdefault(k, []).append(v) result = HTTPMessage() # note that iterating over headers_dict preserves the original # insertion order in all versions since Python 3.6: for k, vlist in headers_dict.items(): result[k] = ','.join(vlist) return result
(headers)
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0.02847735770046711, -0.005522772204130888, 0.01899689808487892, 0.09901413321495056, 0.012007982470095158 ]
20,737
mureq
_prepare_outgoing_headers
null
def _prepare_outgoing_headers(headers): if headers is None: headers = HTTPMessage() elif not isinstance(headers, HTTPMessage): new_headers = HTTPMessage() if hasattr(headers, 'items'): iterator = headers.items() else: iterator = iter(headers) for k, v in iterator: new_headers[k] = v headers = new_headers _setdefault_header(headers, 'User-Agent', DEFAULT_UA) return headers
(headers)
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20,738
mureq
_prepare_params
null
def _prepare_params(params): if params is None: return '' return urllib.parse.urlencode(params, doseq=True)
(params)
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20,739
mureq
_prepare_request
Parses the URL, returns the path and the right HTTPConnection subclass.
def _prepare_request(method, url, *, enc_params='', timeout=DEFAULT_TIMEOUT, source_address=None, unix_socket=None, verify=True, ssl_context=None): """Parses the URL, returns the path and the right HTTPConnection subclass.""" parsed_url = urllib.parse.urlparse(url) is_unix = (unix_socket is not None) scheme = parsed_url.scheme.lower() if scheme.endswith('+unix'): scheme = scheme[:-5] is_unix = True if scheme == 'https': raise ValueError("https+unix is not implemented") if scheme not in ('http', 'https'): raise ValueError("unrecognized scheme", scheme) is_https = (scheme == 'https') host = parsed_url.hostname port = 443 if is_https else 80 if parsed_url.port: port = parsed_url.port if is_unix and unix_socket is None: unix_socket = urllib.parse.unquote(parsed_url.netloc) path = parsed_url.path if parsed_url.query: if enc_params: path = f'{path}?{parsed_url.query}&{enc_params}' else: path = f'{path}?{parsed_url.query}' else: if enc_params: path = f'{path}?{enc_params}' else: pass # just parsed_url.path in this case if isinstance(source_address, str): source_address = (source_address, 0) if is_unix: conn = UnixHTTPConnection(unix_socket, timeout=timeout) elif is_https: if ssl_context is None: ssl_context = ssl.create_default_context() if not verify: ssl_context.check_hostname = False ssl_context.verify_mode = ssl.CERT_NONE conn = HTTPSConnection(host, port, source_address=source_address, timeout=timeout, context=ssl_context) else: conn = HTTPConnection(host, port, source_address=source_address, timeout=timeout) munged_url = urllib.parse.urlunparse((parsed_url.scheme, parsed_url.netloc, path, parsed_url.params, '', parsed_url.fragment)) return munged_url, conn, path
(method, url, *, enc_params='', timeout=15.0, source_address=None, unix_socket=None, verify=True, ssl_context=None)
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20,740
mureq
_setdefault_header
null
def _setdefault_header(headers, name, value): if name not in headers: headers[name] = value
(headers, name, value)
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20,742
mureq
delete
delete performs an HTTP DELETE request.
def delete(url, **kwargs): """delete performs an HTTP DELETE request.""" return request('DELETE', url=url, **kwargs)
(url, **kwargs)
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20,743
mureq
get
get performs an HTTP GET request.
def get(url, **kwargs): """get performs an HTTP GET request.""" return request('GET', url=url, **kwargs)
(url, **kwargs)
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20,744
mureq
head
head performs an HTTP HEAD request.
def head(url, **kwargs): """head performs an HTTP HEAD request.""" return request('HEAD', url=url, **kwargs)
(url, **kwargs)
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20,747
mureq
patch
patch performs an HTTP PATCH request.
def patch(url, body=None, **kwargs): """patch performs an HTTP PATCH request.""" return request('PATCH', url=url, body=body, **kwargs)
(url, body=None, **kwargs)
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20,748
mureq
post
post performs an HTTP POST request.
def post(url, body=None, **kwargs): """post performs an HTTP POST request.""" return request('POST', url=url, body=body, **kwargs)
(url, body=None, **kwargs)
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20,749
mureq
put
put performs an HTTP PUT request.
def put(url, body=None, **kwargs): """put performs an HTTP PUT request.""" return request('PUT', url=url, body=body, **kwargs)
(url, body=None, **kwargs)
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20,750
mureq
request
request performs an HTTP request and reads the entire response body. :param str method: HTTP method to request (e.g. 'GET', 'POST') :param str url: URL to request :param read_limit: maximum number of bytes to read from the body, or None for no limit :type read_limit: int or None :param kwargs: optional arguments defined by yield_response :return: Response object :rtype: Response :raises: HTTPException
def request(method, url, *, read_limit=None, **kwargs): """request performs an HTTP request and reads the entire response body. :param str method: HTTP method to request (e.g. 'GET', 'POST') :param str url: URL to request :param read_limit: maximum number of bytes to read from the body, or None for no limit :type read_limit: int or None :param kwargs: optional arguments defined by yield_response :return: Response object :rtype: Response :raises: HTTPException """ with yield_response(method, url, **kwargs) as response: try: body = response.read(read_limit) except HTTPException: raise except IOError as e: raise HTTPException(str(e)) from e return Response(response.url, response.status, _prepare_incoming_headers(response.headers), body)
(method, url, *, read_limit=None, **kwargs)
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20,755
mureq
yield_response
yield_response is a low-level API that exposes the actual http.client.HTTPResponse via a contextmanager. Note that unlike mureq.Response, http.client.HTTPResponse does not automatically canonicalize multiple appearances of the same header by joining them together with a comma delimiter. To retrieve canonicalized headers from the response, use response.getheader(): https://docs.python.org/3/library/http.client.html#http.client.HTTPResponse.getheader :param str method: HTTP method to request (e.g. 'GET', 'POST') :param str url: URL to request :param unix_socket: path to Unix domain socket to query, or None for a normal TCP request :type unix_socket: str or None :param timeout: timeout in seconds, or None for no timeout (default: 15 seconds) :type timeout: float or None :param headers: HTTP headers as a mapping or list of key-value pairs :param params: parameters to be URL-encoded and added to the query string, as a mapping or list of key-value pairs :param body: payload body of the request :type body: bytes or None :param form: parameters to be form-encoded and sent as the payload body, as a mapping or list of key-value pairs :param json: object to be serialized as JSON and sent as the payload body :param bool verify: whether to verify TLS certificates (default: True) :param source_address: source address to bind to for TCP :type source_address: str or tuple(str, int) or None :param max_redirects: maximum number of redirects to follow, or None (the default) for no redirection :type max_redirects: int or None :param ssl_context: TLS config to control certificate validation, or None for default behavior :type ssl_context: ssl.SSLContext or None :return: http.client.HTTPResponse, yielded as context manager :rtype: http.client.HTTPResponse :raises: HTTPException
def _prepare_outgoing_headers(headers): if headers is None: headers = HTTPMessage() elif not isinstance(headers, HTTPMessage): new_headers = HTTPMessage() if hasattr(headers, 'items'): iterator = headers.items() else: iterator = iter(headers) for k, v in iterator: new_headers[k] = v headers = new_headers _setdefault_header(headers, 'User-Agent', DEFAULT_UA) return headers
(method, url, *, unix_socket=None, timeout=15.0, headers=None, params=None, body=None, form=None, json=None, verify=True, source_address=None, max_redirects=None, ssl_context=None)
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20,756
builtins
mappingproxy
null
from builtins import mappingproxy
null
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20,757
prettyprinter
PrettyPrinter
null
class PrettyPrinter: def __init__(self, *args, **kwargs): self._args = args self._kwargs = kwargs def pprint(self, object): pprint(*self._args, **self._kwargs) def pformat(self, object): return pformat(*self._args, **self._kwargs) def isrecursive(self, object): return isrecursive(object) def isreadable(self, object): return isreadable(object) def format(self, object): raise NotImplementedError
(*args, **kwargs)
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20,758
prettyprinter
__init__
null
def __init__(self, *args, **kwargs): self._args = args self._kwargs = kwargs
(self, *args, **kwargs)
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20,759
prettyprinter
format
null
def format(self, object): raise NotImplementedError
(self, object)
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20,760
prettyprinter
isreadable
null
def isreadable(self, object): return isreadable(object)
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20,761
prettyprinter
isrecursive
null
def isrecursive(self, object): return isrecursive(object)
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20,762
prettyprinter
pformat
null
def pformat(self, object): return pformat(*self._args, **self._kwargs)
(self, object)
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20,763
prettyprinter
pprint
null
def pprint(self, object): pprint(*self._args, **self._kwargs)
(self, object)
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20,765
prettyprinter
UnsetSentinel
null
class UnsetSentinel: def __repr__(self): return 'UNSET' __str__ = __repr__
()
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prettyprinter
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def __repr__(self): return 'UNSET'
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20,768
prettyprinter
_merge_defaults
null
def _merge_defaults( *, indent, width, depth, ribbon_width, max_seq_len, sort_dict_keys ): kwargs = locals() return {key: kwargs[key] if kwargs[key] is not _UNSET_SENTINEL else default for key, default in _default_config.items()}
(*, indent, width, depth, ribbon_width, max_seq_len, sort_dict_keys)
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20,770
prettyprinter.color
colored_render_to_stream
null
def colored_render_to_stream( stream, sdocs, style, newline='\n', separator=' ' ): if style is None: style = default_style evald = list(sdocs) if not evald: return color_cache = {} colorstack = [] sdoc_lines = as_lines(evald) for sdoc_line in sdoc_lines: last_text_sdoc_idx = rfind_idx( lambda sdoc: isinstance(sdoc, str), sdoc_line ) # Edge case: trailing whitespace on a line. # Currently happens on multiline str value in a dict: # there's a trailing whitespace after the colon that's # hard to eliminate at the doc level. if last_text_sdoc_idx != -1: last_text_sdoc = sdoc_line[last_text_sdoc_idx] sdoc_line[last_text_sdoc_idx] = last_text_sdoc.rstrip() for sdoc in sdoc_line: if isinstance(sdoc, str): stream.write(sdoc) elif isinstance(sdoc, SLine): stream.write(newline + separator * sdoc.indent) elif isinstance(sdoc, SAnnotationPush): if isinstance(sdoc.value, Token): try: color = color_cache[sdoc.value] except KeyError: pygments_token = _SYNTAX_TOKEN_TO_PYGMENTS_TOKEN[ sdoc.value ] tokenattrs = style.style_for_token(pygments_token) color = styleattrs_to_colorful(tokenattrs) color_cache[sdoc.value] = color colorstack.append(color) stream.write(str(color)) elif isinstance(sdoc, SAnnotationPop): try: colorstack.pop() except IndexError: continue if colorstack: stream.write(str(colorstack[-1])) else: stream.write(str(colorful.reset)) if colorstack: stream.write(str(colorful.reset))
(stream, sdocs, style, newline='\n', separator=' ')
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20,771
prettyprinter.prettyprinter
comment
Annotates a value or a Doc with a comment. When printed by prettyprinter, the comment will be rendered next to the value or Doc.
def comment(value, comment_text): """Annotates a value or a Doc with a comment. When printed by prettyprinter, the comment will be rendered next to the value or Doc. """ if isinstance(value, Doc): return comment_doc(value, comment_text) return comment_value(value, comment_text)
(value, comment_text)
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20,772
prettyprinter
cpprint
Pretty print a Python value ``object`` to ``stream``, which defaults to sys.stdout. The output will be colored and syntax highlighted. :param indent: number of spaces to add for each level of nesting. :param stream: the output stream, defaults to sys.stdout :param width: a soft maximum allowed number of columns in the output, which the layout algorithm attempts to stay under. :param depth: maximum depth to print nested structures :param ribbon_width: a soft maximum allowed number of columns in the output, after indenting the line :param max_seq_len: a maximum sequence length that applies to subclasses of lists, sets, frozensets, tuples and dicts. A trailing comment that indicates the number of truncated elements. Setting max_seq_len to ``None`` disables truncation. :param sort_dict_keys: a ``bool`` value indicating if dict keys should be sorted in the output. Defaults to ``False``, in which case the default order is used, which is the insertion order in CPython 3.6+. :param style: one of ``'light'``, ``'dark'`` or a subclass of ``pygments.styles.Style``. If omitted, will use the default style. If the default style is not changed by the user with :func:`~prettyprinter.set_default_style`, the default is ``'dark'``.
def cpprint( object, stream=_UNSET_SENTINEL, indent=_UNSET_SENTINEL, width=_UNSET_SENTINEL, depth=_UNSET_SENTINEL, *, compact=False, ribbon_width=_UNSET_SENTINEL, max_seq_len=_UNSET_SENTINEL, sort_dict_keys=_UNSET_SENTINEL, style=None, end='\n' ): """Pretty print a Python value ``object`` to ``stream``, which defaults to sys.stdout. The output will be colored and syntax highlighted. :param indent: number of spaces to add for each level of nesting. :param stream: the output stream, defaults to sys.stdout :param width: a soft maximum allowed number of columns in the output, which the layout algorithm attempts to stay under. :param depth: maximum depth to print nested structures :param ribbon_width: a soft maximum allowed number of columns in the output, after indenting the line :param max_seq_len: a maximum sequence length that applies to subclasses of lists, sets, frozensets, tuples and dicts. A trailing comment that indicates the number of truncated elements. Setting max_seq_len to ``None`` disables truncation. :param sort_dict_keys: a ``bool`` value indicating if dict keys should be sorted in the output. Defaults to ``False``, in which case the default order is used, which is the insertion order in CPython 3.6+. :param style: one of ``'light'``, ``'dark'`` or a subclass of ``pygments.styles.Style``. If omitted, will use the default style. If the default style is not changed by the user with :func:`~prettyprinter.set_default_style`, the default is ``'dark'``. """ sdocs = python_to_sdocs( object, **_merge_defaults( indent=indent, width=width, depth=depth, ribbon_width=ribbon_width, max_seq_len=max_seq_len, sort_dict_keys=sort_dict_keys, ) ) stream = ( # This is not in _default_config in case # sys.stdout changes. sys.stdout if stream is _UNSET_SENTINEL else stream ) colored_render_to_stream(stream, sdocs, style=style) if end: stream.write(end)
(object, stream=UNSET, indent=UNSET, width=UNSET, depth=UNSET, *, compact=False, ribbon_width=UNSET, max_seq_len=UNSET, sort_dict_keys=UNSET, style=None, end='\n')
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20,773
prettyprinter.render
default_render_to_stream
null
def default_render_to_stream(stream, sdocs, newline='\n', separator=' '): evald = list(sdocs) if not evald: return for sdoc_line in as_lines(evald): last_text_sdoc_idx = rfind_idx( lambda sdoc: isinstance(sdoc, str), sdoc_line ) # Edge case: trailing whitespace on a line. # Currently happens on multiline str value in a dict: # there's a trailing whitespace after the colon that's # hard to eliminate at the doc level. if last_text_sdoc_idx != -1: last_text_sdoc = sdoc_line[last_text_sdoc_idx] sdoc_line[last_text_sdoc_idx] = last_text_sdoc.rstrip() for sdoc in sdoc_line: if isinstance(sdoc, str): stream.write(sdoc) elif isinstance(sdoc, SLine): stream.write(newline + separator * sdoc.indent)
(stream, sdocs, newline='\n', separator=' ')
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20,776
prettyprinter
get_default_config
Returns a read-only view of the current configuration
def get_default_config(): """Returns a read-only view of the current configuration""" return MappingProxyType(_default_config)
()
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20,777
importlib
import_module
Import a module. The 'package' argument is required when performing a relative import. It specifies the package to use as the anchor point from which to resolve the relative import to an absolute import.
def import_module(name, package=None): """Import a module. The 'package' argument is required when performing a relative import. It specifies the package to use as the anchor point from which to resolve the relative import to an absolute import. """ level = 0 if name.startswith('.'): if not package: msg = ("the 'package' argument is required to perform a relative " "import for {!r}") raise TypeError(msg.format(name)) for character in name: if character != '.': break level += 1 return _bootstrap._gcd_import(name[level:], package, level)
(name, package=None)
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20,778
prettyprinter
install_extras
Installs extras. Installing an extra means registering pretty printers for objects from third party libraries and/or enabling integrations with other python programs. - ``'attrs'`` - automatically pretty prints classes created using the ``attrs`` package. - ``'dataclasses'`` - automatically pretty prints classes created using the ``dataclasses`` module. - ``'django'`` - automatically pretty prints Model and QuerySet subclasses defined in your Django apps. - ``numpy`` - automatically pretty prints numpy scalars with explicit types, and, for numpy>=1.14, numpy arrays. - ``'requests'`` - automatically pretty prints Requests, Responses, Sessions, etc. - ``'ipython'`` - makes prettyprinter the default printer in the IPython shell. - ``'python'`` - makes prettyprinter the default printer in the default Python shell. - ``'ipython_repr_pretty'`` - automatically prints objects that define a ``_repr_pretty_`` method to integrate with `IPython.lib.pretty <http://ipython.readthedocs.io/en/stable/api/generated/IPython.lib.pretty.html#extending>`_. :param include: an iterable of strs representing the extras to include. All extras are included by default. :param exclude: an iterable of strs representing the extras to exclude.
def install_extras( include=ALL_EXTRAS, *, exclude=EMPTY_SET, raise_on_error=False, warn_on_error=True ): """Installs extras. Installing an extra means registering pretty printers for objects from third party libraries and/or enabling integrations with other python programs. - ``'attrs'`` - automatically pretty prints classes created using the ``attrs`` package. - ``'dataclasses'`` - automatically pretty prints classes created using the ``dataclasses`` module. - ``'django'`` - automatically pretty prints Model and QuerySet subclasses defined in your Django apps. - ``numpy`` - automatically pretty prints numpy scalars with explicit types, and, for numpy>=1.14, numpy arrays. - ``'requests'`` - automatically pretty prints Requests, Responses, Sessions, etc. - ``'ipython'`` - makes prettyprinter the default printer in the IPython shell. - ``'python'`` - makes prettyprinter the default printer in the default Python shell. - ``'ipython_repr_pretty'`` - automatically prints objects that define a ``_repr_pretty_`` method to integrate with `IPython.lib.pretty <http://ipython.readthedocs.io/en/stable/api/generated/IPython.lib.pretty.html#extending>`_. :param include: an iterable of strs representing the extras to include. All extras are included by default. :param exclude: an iterable of strs representing the extras to exclude. """ # noqa include = set(include) exclude = set(exclude) unexisting_extras = (include | exclude) - ALL_EXTRAS if unexisting_extras: raise ValueError( "The following extras don't exist: {}".format( ', '.join(unexisting_extras) ) ) extras_to_install = (ALL_EXTRAS & include) - exclude for extra in extras_to_install: module_name = 'prettyprinter.extras.' + extra try: extra_module = import_module(module_name) except ImportError as e: if raise_on_error: raise e if warn_on_error: warnings.warn( "Failed to import '{0}' PrettyPrinter extra. " "If you don't need it, call install_extras with " "exclude=['{0}']".format(extra) ) else: try: extra_module.install() except Exception as exc: if raise_on_error: raise exc elif warn_on_error: warnings.warn( "Failed to install '{0}' PrettyPrinter extra. " "If you don't need it, call install_extras with " "exclude=['{0}']".format(extra) )
(include=frozenset({'python', 'numpy', 'attrs', 'ipython_repr_pretty', 'ipython', 'requests', 'dataclasses', 'django'}), *, exclude=frozenset(), raise_on_error=False, warn_on_error=True)
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20,779
prettyprinter.prettyprinter
is_registered
null
def is_registered( type, *, check_superclasses=False, check_deferred=True, register_deferred=True ): if not check_deferred and register_deferred: raise ValueError( 'register_deferred may not be True when check_deferred is False' ) if type in pretty_dispatch.registry: return True if check_deferred: # Check deferred printers for the type exactly. deferred_key = get_deferred_key(type) if deferred_key in _DEFERRED_DISPATCH_BY_NAME: if register_deferred: deferred_dispatch = _DEFERRED_DISPATCH_BY_NAME.pop( deferred_key ) register_pretty(type)(deferred_dispatch) return True if not check_superclasses: return False if check_deferred: # Check deferred printers for supertypes. for supertype in type.__mro__[1:]: deferred_key = get_deferred_key(supertype) if deferred_key in _DEFERRED_DISPATCH_BY_NAME: if register_deferred: deferred_dispatch = _DEFERRED_DISPATCH_BY_NAME.pop( deferred_key ) register_pretty(supertype)(deferred_dispatch) return True return pretty_dispatch.dispatch(type) is not _BASE_DISPATCH
(type, *, check_superclasses=False, check_deferred=True, register_deferred=True)
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20,780
pprint
isreadable
Determine if saferepr(object) is readable by eval().
def isreadable(object): """Determine if saferepr(object) is readable by eval().""" return PrettyPrinter()._safe_repr(object, {}, None, 0)[1]
(object)
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20,781
pprint
isrecursive
Determine if object requires a recursive representation.
def isrecursive(object): """Determine if object requires a recursive representation.""" return PrettyPrinter()._safe_repr(object, {}, None, 0)[2]
(object)
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20,783
prettyprinter
pformat
Returns a pretty printed representation of the object as a ``str``. Accepts the same parameters as :func:`~prettyprinter.pprint`. The output is not colored.
def pformat( object, indent=_UNSET_SENTINEL, width=_UNSET_SENTINEL, depth=_UNSET_SENTINEL, *, ribbon_width=_UNSET_SENTINEL, max_seq_len=_UNSET_SENTINEL, compact=_UNSET_SENTINEL, sort_dict_keys=_UNSET_SENTINEL ): """ Returns a pretty printed representation of the object as a ``str``. Accepts the same parameters as :func:`~prettyprinter.pprint`. The output is not colored. """ sdocs = python_to_sdocs( object, **_merge_defaults( indent=indent, width=width, depth=depth, ribbon_width=ribbon_width, max_seq_len=max_seq_len, sort_dict_keys=sort_dict_keys, ) ) stream = StringIO() default_render_to_stream(stream, sdocs) return stream.getvalue()
(object, indent=UNSET, width=UNSET, depth=UNSET, *, ribbon_width=UNSET, max_seq_len=UNSET, compact=UNSET, sort_dict_keys=UNSET)
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-0.03666196018457413, -0.014579483307898045 ]
20,784
prettyprinter
pprint
Pretty print a Python value ``object`` to ``stream``, which defaults to ``sys.stdout``. The output will not be colored. :param indent: number of spaces to add for each level of nesting. :param stream: the output stream, defaults to ``sys.stdout`` :param width: a soft maximum allowed number of columns in the output, which the layout algorithm attempts to stay under. :param depth: maximum depth to print nested structures :param ribbon_width: a soft maximum allowed number of columns in the output, after indenting the line :param max_seq_len: a maximum sequence length that applies to subclasses of lists, sets, frozensets, tuples and dicts. A trailing comment that indicates the number of truncated elements. Setting max_seq_len to ``None`` disables truncation. :param sort_dict_keys: a ``bool`` value indicating if dict keys should be sorted in the output. Defaults to ``False``, in which case the default order is used, which is the insertion order in CPython 3.6+.
def pprint( object, stream=_UNSET_SENTINEL, indent=_UNSET_SENTINEL, width=_UNSET_SENTINEL, depth=_UNSET_SENTINEL, *, compact=False, ribbon_width=_UNSET_SENTINEL, max_seq_len=_UNSET_SENTINEL, sort_dict_keys=_UNSET_SENTINEL, end='\n' ): """Pretty print a Python value ``object`` to ``stream``, which defaults to ``sys.stdout``. The output will not be colored. :param indent: number of spaces to add for each level of nesting. :param stream: the output stream, defaults to ``sys.stdout`` :param width: a soft maximum allowed number of columns in the output, which the layout algorithm attempts to stay under. :param depth: maximum depth to print nested structures :param ribbon_width: a soft maximum allowed number of columns in the output, after indenting the line :param max_seq_len: a maximum sequence length that applies to subclasses of lists, sets, frozensets, tuples and dicts. A trailing comment that indicates the number of truncated elements. Setting max_seq_len to ``None`` disables truncation. :param sort_dict_keys: a ``bool`` value indicating if dict keys should be sorted in the output. Defaults to ``False``, in which case the default order is used, which is the insertion order in CPython 3.6+. """ sdocs = python_to_sdocs( object, **_merge_defaults( indent=indent, width=width, depth=depth, ribbon_width=ribbon_width, max_seq_len=max_seq_len, sort_dict_keys=sort_dict_keys, ) ) stream = ( # This is not in _default_config in case # sys.stdout changes. sys.stdout if stream is _UNSET_SENTINEL else stream ) default_render_to_stream(stream, sdocs) if end: stream.write(end)
(object, stream=UNSET, indent=UNSET, width=UNSET, depth=UNSET, *, compact=False, ribbon_width=UNSET, max_seq_len=UNSET, sort_dict_keys=UNSET, end='\n')
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20,785
prettyprinter.prettyprinter
pretty_call
Returns a Doc that represents a function call to :keyword:`fn` with the remaining positional and keyword arguments. You can only use this function on Python 3.6+. On Python 3.5, the order of keyword arguments is not maintained, and you have to use :func:`~prettyprinter.pretty_call_alt`. Given an arbitrary context ``ctx``,:: pretty_call(ctx, sorted, [7, 4, 5], reverse=True) Will result in output:: sorted([7, 4, 5], reverse=True) The layout algorithm will automatically break the call to multiple lines if needed:: sorted( [7, 4, 5], reverse=True ) ``pretty_call`` automatically handles syntax highlighting. :param ctx: a context value :type ctx: prettyprinter.prettyprinter.PrettyContext :param fn: a callable :param args: positional arguments to render to the call :param kwargs: keyword arguments to render to the call :returns: :class:`~prettyprinter.doc.Doc`
def pretty_call(ctx, fn, *args, **kwargs): """Returns a Doc that represents a function call to :keyword:`fn` with the remaining positional and keyword arguments. You can only use this function on Python 3.6+. On Python 3.5, the order of keyword arguments is not maintained, and you have to use :func:`~prettyprinter.pretty_call_alt`. Given an arbitrary context ``ctx``,:: pretty_call(ctx, sorted, [7, 4, 5], reverse=True) Will result in output:: sorted([7, 4, 5], reverse=True) The layout algorithm will automatically break the call to multiple lines if needed:: sorted( [7, 4, 5], reverse=True ) ``pretty_call`` automatically handles syntax highlighting. :param ctx: a context value :type ctx: prettyprinter.prettyprinter.PrettyContext :param fn: a callable :param args: positional arguments to render to the call :param kwargs: keyword arguments to render to the call :returns: :class:`~prettyprinter.doc.Doc` """ return pretty_call_alt(ctx, fn, args, kwargs)
(ctx, fn, *args, **kwargs)
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20,786
prettyprinter.prettyprinter
pretty_call_alt
Returns a Doc that represents a function call to :keyword:`fn` with the ``args`` and ``kwargs``. Given an arbitrary context ``ctx``,:: pretty_call_alt(ctx, sorted, args=([7, 4, 5], ), kwargs=[('reverse', True)]) Will result in output:: sorted([7, 4, 5], reverse=True) The layout algorithm will automatically break the call to multiple lines if needed:: sorted( [7, 4, 5], reverse=True ) ``pretty_call_alt`` automatically handles syntax highlighting. :param ctx: a context value :type ctx: prettyprinter.prettyprinter.PrettyContext :param fn: a callable :param args: a ``tuple`` of positional arguments to render to the call :param kwargs: keyword arguments to render to the call. Either an instance of ``OrderedDict``, or an iterable of two-tuples, where the first element is a `str` (key), and the second is the Python value for that keyword argument. :returns: :class:`~prettyprinter.doc.Doc`
def pretty_call_alt(ctx, fn, args=(), kwargs=()): """Returns a Doc that represents a function call to :keyword:`fn` with the ``args`` and ``kwargs``. Given an arbitrary context ``ctx``,:: pretty_call_alt(ctx, sorted, args=([7, 4, 5], ), kwargs=[('reverse', True)]) Will result in output:: sorted([7, 4, 5], reverse=True) The layout algorithm will automatically break the call to multiple lines if needed:: sorted( [7, 4, 5], reverse=True ) ``pretty_call_alt`` automatically handles syntax highlighting. :param ctx: a context value :type ctx: prettyprinter.prettyprinter.PrettyContext :param fn: a callable :param args: a ``tuple`` of positional arguments to render to the call :param kwargs: keyword arguments to render to the call. Either an instance of ``OrderedDict``, or an iterable of two-tuples, where the first element is a `str` (key), and the second is the Python value for that keyword argument. :returns: :class:`~prettyprinter.doc.Doc` """ fndoc = general_identifier(fn) if ctx.depth_left <= 0: return concat([fndoc, LPAREN, ELLIPSIS, RPAREN]) if not kwargs and len(args) == 1: sole_arg = args[0] unwrapped_sole_arg, _comment, _trailing_comment = unwrap_comments(args[0]) if type(unwrapped_sole_arg) in (list, dict, tuple): return build_fncall( ctx, fndoc, argdocs=[pretty_python_value(sole_arg, ctx)], hug_sole_arg=True, ) nested_ctx = ( ctx .nested_call() .use_multiline_strategy(MULTILINE_STRATEGY_HANG) ) if not DICT_KEY_ORDER_SUPPORTED and isinstance(kwargs, dict): warnings.warn( "A dict was passed to pretty_call_alt to represent kwargs, " "but Python 3.5 doesn't maintain key order for dicts. The order " "of keyword arguments will be undefined in the output. " "To fix this, pass a list of two-tuples or an instance of " "OrderedDict instead.", UserWarning ) kwargitems = ( kwargs.items() if isinstance(kwargs, (OrderedDict, dict)) else kwargs ) return build_fncall( ctx, fndoc, argdocs=( pretty_python_value(arg, nested_ctx) for arg in args ), kwargdocs=( (kwarg, pretty_python_value(v, nested_ctx)) for kwarg, v in kwargitems ), )
(ctx, fn, args=(), kwargs=())
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20,787
prettyprinter
pretty_repr
A function assignable to the ``__repr__`` dunder method, so that the ``prettyprinter`` definition for the type is used to provide repr output. Usage: .. code:: python from prettyprinter import pretty_repr class MyClass: __repr__ = pretty_repr
def pretty_repr(instance): """ A function assignable to the ``__repr__`` dunder method, so that the ``prettyprinter`` definition for the type is used to provide repr output. Usage: .. code:: python from prettyprinter import pretty_repr class MyClass: __repr__ = pretty_repr """ instance_type = type(instance) if not is_registered( instance_type, check_superclasses=True, check_deferred=True, register_deferred=True ): warnings.warn( "pretty_repr is assigned as the __repr__ method of " "'{}'. However, no pretty printer is registered for that type, " "its superclasses or its subclasses. Falling back to the default " "repr implementation. To fix this warning, register a pretty " "printer using prettyprinter.register_pretty.".format( instance_type.__qualname__ ), UserWarning ) return object.__repr__(instance) return pformat(instance)
(instance)
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20,790
prettyprinter.prettyprinter
python_to_sdocs
null
def python_to_sdocs( value, indent, width, depth, ribbon_width, max_seq_len, sort_dict_keys ): if depth is None: depth = float('inf') doc = pretty_python_value( value, ctx=PrettyContext( indent=indent, depth_left=depth, visited=set(), max_seq_len=max_seq_len, sort_dict_keys=sort_dict_keys ) ) if is_commented(doc): doc = group( flat_choice( when_flat=concat([ doc, ' ', commentdoc(doc.annotation.value), ]), when_broken=concat([ commentdoc(doc.annotation.value), HARDLINE, doc ]) ) ) ribbon_frac = min(1.0, ribbon_width / width) return layout_smart(doc, width=width, ribbon_frac=ribbon_frac)
(value, indent, width, depth, ribbon_width, max_seq_len, sort_dict_keys)
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20,791
prettyprinter.prettyprinter
register_pretty
Returns a decorator that registers the decorated function as the pretty printer for instances of ``type``. :param type: the type to register the pretty printer for, or a ``str`` to indicate the module and name, e.g.: ``'collections.Counter'``. :param predicate: a predicate function that takes one argument and returns a boolean indicating if the value should be handled by the registered pretty printer. Only one of ``type`` and ``predicate`` may be supplied. That means that ``predicate`` will be run on unregistered types only. The decorated function must accept exactly two positional arguments: - ``value`` to pretty print, and - ``ctx``, a context value. Here's an example of the pretty printer for OrderedDict: .. code:: python from collections import OrderedDict from prettyprinter import register_pretty, pretty_call @register_pretty(OrderedDict) def pretty_orderreddict(value, ctx): return pretty_call(ctx, OrderedDict, list(value.items()))
def register_pretty(type=None, predicate=None): """Returns a decorator that registers the decorated function as the pretty printer for instances of ``type``. :param type: the type to register the pretty printer for, or a ``str`` to indicate the module and name, e.g.: ``'collections.Counter'``. :param predicate: a predicate function that takes one argument and returns a boolean indicating if the value should be handled by the registered pretty printer. Only one of ``type`` and ``predicate`` may be supplied. That means that ``predicate`` will be run on unregistered types only. The decorated function must accept exactly two positional arguments: - ``value`` to pretty print, and - ``ctx``, a context value. Here's an example of the pretty printer for OrderedDict: .. code:: python from collections import OrderedDict from prettyprinter import register_pretty, pretty_call @register_pretty(OrderedDict) def pretty_orderreddict(value, ctx): return pretty_call(ctx, OrderedDict, list(value.items())) """ if type is None and predicate is None: raise ValueError( "You must provide either the 'type' or 'predicate' argument." ) if type is not None and predicate is not None: raise ValueError( "You must provide either the 'type' or 'predicate' argument," "but not both" ) if predicate is not None: if not callable(predicate): raise ValueError( "Expected a callable for 'predicate', got {}".format( repr(predicate) ) ) def decorator(fn): sig = inspect.signature(fn) value = None ctx = None try: sig.bind(value, ctx) except TypeError: fnname = '{}.{}'.format( fn.__module__, fn.__qualname__ ) raise ValueError( "Functions decorated with register_pretty must accept " "exactly two positional parameters: 'value' and 'ctx'. " "The function signature for {} was not compatible.".format( fnname ) ) if type: if isinstance(type, str): # We don't wrap this with _run_pretty, # so that when we register this printer with an actual # class, we can call register_pretty(cls)(fn) _DEFERRED_DISPATCH_BY_NAME[type] = fn else: pretty_dispatch.register(type, partial(_run_pretty, fn)) else: assert callable(predicate) _PREDICATE_REGISTRY.append((predicate, fn)) return fn return decorator
(type=None, predicate=None)
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20,793
pprint
saferepr
Version of repr() which can handle recursive data structures.
def saferepr(object): """Version of repr() which can handle recursive data structures.""" return PrettyPrinter()._safe_repr(object, {}, None, 0)[0]
(object)
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20,795
prettyprinter
set_default_config
Sets the default configuration values used when calling `pprint`, `cpprint`, or `pformat`, if those values weren't explicitly provided. Only overrides the values provided in the keyword arguments.
def set_default_config( *, style=_UNSET_SENTINEL, max_seq_len=_UNSET_SENTINEL, width=_UNSET_SENTINEL, ribbon_width=_UNSET_SENTINEL, depth=_UNSET_SENTINEL, sort_dict_keys=_UNSET_SENTINEL ): """ Sets the default configuration values used when calling `pprint`, `cpprint`, or `pformat`, if those values weren't explicitly provided. Only overrides the values provided in the keyword arguments. """ global _default_config if style is not _UNSET_SENTINEL: set_default_style(style) new_defaults = {**_default_config} if max_seq_len is not _UNSET_SENTINEL: new_defaults['max_seq_len'] = max_seq_len if width is not _UNSET_SENTINEL: new_defaults['width'] = width if ribbon_width is not _UNSET_SENTINEL: new_defaults['ribbon_width'] = ribbon_width if depth is not _UNSET_SENTINEL: new_defaults['depth'] = depth if sort_dict_keys is not _UNSET_SENTINEL: new_defaults['sort_dict_keys'] = sort_dict_keys _default_config = new_defaults return new_defaults
(*, style=UNSET, max_seq_len=UNSET, width=UNSET, ribbon_width=UNSET, depth=UNSET, sort_dict_keys=UNSET)
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20,796
prettyprinter.color
set_default_style
Sets default global style to be used by ``prettyprinter.cpprint``. :param style: the style to set, either subclass of ``pygments.styles.Style`` or one of ``'dark'``, ``'light'``
def set_default_style(style): """Sets default global style to be used by ``prettyprinter.cpprint``. :param style: the style to set, either subclass of ``pygments.styles.Style`` or one of ``'dark'``, ``'light'`` """ global default_style if style == 'dark': style = default_dark_style elif style == 'light': style = default_light_style if not issubclass(style, Style): raise TypeError( "style must be a subclass of pygments.styles.Style or " "one of 'dark', 'light'. Got {}".format(repr(style)) ) default_style = style
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20,799
prettyprinter.prettyprinter
trailing_comment
Annotates a value with a comment text, so that the comment will be rendered "trailing", e.g. in place of the last element in a list, set or tuple, or after the last argument in a function. This will force the rendering of ``value`` to be broken to multiple lines as Python does not have inline comments. >>> trailing_comment(['value'], '...and more') [ 'value', # ...and more ]
def trailing_comment(value, comment_text): """Annotates a value with a comment text, so that the comment will be rendered "trailing", e.g. in place of the last element in a list, set or tuple, or after the last argument in a function. This will force the rendering of ``value`` to be broken to multiple lines as Python does not have inline comments. >>> trailing_comment(['value'], '...and more') [ 'value', # ...and more ] """ return _TrailingCommentedValue(value, comment_text)
(value, comment_text)
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20,804
pytest_level
pytest_addoption
null
def pytest_addoption(parser): parser.addoption('--level', type=int)
(parser)
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20,805
pytest_level
pytest_collection_modifyitems
null
def pytest_collection_modifyitems(session, config, items): selected_level = config.getoption('--level') if selected_level == None: return deselected_items = set() for item in items: for marker in item.iter_markers('level'): [marker_level] = marker.args if marker_level > selected_level: deselected_items.add(item) selected_items = [item for item in items if item not in deselected_items] items[:] = selected_items config.hook.pytest_deselected(items=list(deselected_items))
(session, config, items)
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20,806
pytest_level
pytest_configure
null
def pytest_configure(config): config.addinivalue_line( "markers", "level(lvl): Don't run the test if `lvl` is higher than current --level." )
(config)
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20,807
precession.precession
affine
Perform an affine trasformation to scale a vector given upper and lower limits: rescaled = ( vec - low ) / (up - low). If these are outside the domain of the vector, the result will be in [0,1]. Parameters ---------- vec: array Vector in Cartesian coomponents. low: float Lower limit. up: float Upper limit. Returns ------- rescaled: float, optional Rescaled vector. Examples -------- ``rescaled = precession.affine(vec,low,up)``
def affine(vec, low, up): """ Perform an affine trasformation to scale a vector given upper and lower limits: rescaled = ( vec - low ) / (up - low). If these are outside the domain of the vector, the result will be in [0,1]. Parameters ---------- vec: array Vector in Cartesian coomponents. low: float Lower limit. up: float Upper limit. Returns ------- rescaled: float, optional Rescaled vector. Examples -------- ``rescaled = precession.affine(vec,low,up)`` """ vec = np.atleast_1d(vec).astype(float) up = np.atleast_1d(up).astype(float) low = np.atleast_1d(low).astype(float) rescaled = ( vec - low ) / (up - low) return rescaled
(vec, low, up)
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20,808
precession.precession
angleresonances_endpoint
Small-separation limit of the spin-orbit resonances. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. chieff: float Effective spin. Returns ------- deltaphiatmax: float Value of the angle deltaphi at the resonance that maximizes kappa. deltaphiatmin: float Value of the angle deltaphi at the resonance that minimizes kappa. theta1atmax: float Value of the angle theta1 at the resonance that maximizes kappa. theta1atmin: float Value of the angle theta1 at the resonance that minimizes kappa. theta2atmax: float Value of the angle theta2 at the resonance that maximizes kappa. theta2atmin: float Value of the angle theta2 at the resonance that minimizes kappa. Examples -------- ``theta1atmin,theta2atmin,deltaphiatmin,theta1atmax,theta2atmax,deltaphiatmax = precession.angleresonances_endpoint(q,chi1,chi2,chieff)``
def angleresonances_endpoint(q, chi1, chi2, chieff): """ Small-separation limit of the spin-orbit resonances. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. chieff: float Effective spin. Returns ------- deltaphiatmax: float Value of the angle deltaphi at the resonance that maximizes kappa. deltaphiatmin: float Value of the angle deltaphi at the resonance that minimizes kappa. theta1atmax: float Value of the angle theta1 at the resonance that maximizes kappa. theta1atmin: float Value of the angle theta1 at the resonance that minimizes kappa. theta2atmax: float Value of the angle theta2 at the resonance that maximizes kappa. theta2atmin: float Value of the angle theta2 at the resonance that minimizes kappa. Examples -------- ``theta1atmin,theta2atmin,deltaphiatmin,theta1atmax,theta2atmax,deltaphiatmax = precession.angleresonances_endpoint(q,chi1,chi2,chieff)`` """ q = np.atleast_1d(q).astype(float) chi1 = np.atleast_1d(chi1).astype(float) chi2 = np.atleast_1d(chi2).astype(float) chieff = np.atleast_1d(chieff).astype(float) chieff_uu = eval_chieff(0, 0, q, chi1, chi2) chieff_ud = eval_chieff(0, -np.pi, q, chi1, chi2) thetakappaplus = np.arccos(chieff / chieff_uu) deltaphikappaplus = np.zeros_like(thetakappaplus) condition = np.abs(chieff) <= np.abs(chieff_ud) costheta1kappaminus_less = chieff / chieff_ud costheta1kappaminus_gtr = (1+q) * (chieff**2+chieff_ud*chieff_uu) / (2*chi1*chieff) costheta1kappaminus = np.where(condition, costheta1kappaminus_less, costheta1kappaminus_gtr) theta1kappaminus = np.arccos(costheta1kappaminus) costheta2kappaminus_less = -costheta1kappaminus_less costheta2kappaminus_gtr = (1+q) * (chieff**2-chieff_ud*chieff_uu) / (2*q*chi2*chieff) costheta2kappaminus = np.where(condition, costheta2kappaminus_less, costheta2kappaminus_gtr) theta2kappaminus = np.arccos(costheta2kappaminus) deltaphikappaminus = np.ones_like(condition) * np.pi return np.stack([theta1kappaminus, theta2kappaminus, deltaphikappaminus, thetakappaplus, thetakappaplus, deltaphikappaplus])
(q, chi1, chi2, chieff)
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20,809
precession.precession
angles_to_Jframe
Convert the angles (theta1,theta2,deltaphi) to angular momentum vectors (L,S1,S2) in the frame aligned with the total angular momentum. In particular, we set Jx=Jy=Ly=0. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.angles_to_Jframe(theta1,theta2,deltaphi,r,q,chi1,chi2)``
def angles_to_Jframe(theta1, theta2, deltaphi, r, q, chi1, chi2): """ Convert the angles (theta1,theta2,deltaphi) to angular momentum vectors (L,S1,S2) in the frame aligned with the total angular momentum. In particular, we set Jx=Jy=Ly=0. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.angles_to_Jframe(theta1,theta2,deltaphi,r,q,chi1,chi2)`` """ Lvec, S1vec, S2vec = angles_to_Lframe(theta1, theta2, deltaphi, r, q, chi1, chi2) Lvec, S1vec, S2vec = vectors_to_Jframe(Lvec, S1vec, S2vec) return np.stack([Lvec, S1vec, S2vec])
(theta1, theta2, deltaphi, r, q, chi1, chi2)
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20,810
precession.precession
angles_to_Lframe
Convert the angles (theta1,theta2,deltaphi) to angular momentum vectors (L,S1,S2) in the frame aligned with the orbital angular momentum. In particular, we set Lx=Ly=S1y=0. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.angles_to_Lframe(theta1,theta2,deltaphi,r,q,chi1,chi2)``
def angles_to_Lframe(theta1, theta2, deltaphi, r, q, chi1, chi2): """ Convert the angles (theta1,theta2,deltaphi) to angular momentum vectors (L,S1,S2) in the frame aligned with the orbital angular momentum. In particular, we set Lx=Ly=S1y=0. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.angles_to_Lframe(theta1,theta2,deltaphi,r,q,chi1,chi2)`` """ L = eval_L(r, q) S1 = eval_S1(q, chi1) S2 = eval_S2(q, chi2) Lx = np.zeros(L.shape) Ly = np.zeros(L.shape) Lz = L Lvec = np.transpose([Lx, Ly, Lz]) S1x = S1 * np.sin(theta1) S1y = np.zeros(S1.shape) S1z = S1 * np.cos(theta1) S1vec = np.transpose([S1x, S1y, S1z]) S2x = S2 * np.sin(theta2) * np.cos(deltaphi) S2y = S2 * np.sin(theta2) * np.sin(deltaphi) S2z = S2 * np.cos(theta2) S2vec = np.transpose([S2x, S2y, S2z]) return np.stack([Lvec, S1vec, S2vec])
(theta1, theta2, deltaphi, r, q, chi1, chi2)
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20,811
precession.precession
angles_to_conserved
Convert angles (theta1,theta2,deltaphi) into conserved quantities (deltachi,kappa,chieff). Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. full_output: boolean, optional (default: False) Return additional outputs. Returns ------- chieff: float Effective spin. cyclesign: integer, optional Sign (either +1 or -1) to cover the two halves of a precesion cycle. deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. Examples -------- ``deltachi,kappa,chieff = precession.angles_to_conserved(theta1,theta2,deltaphi,r,q,chi1,chi2)`` ``deltachi,kappa,chieff,cyclesign = precession.angles_to_conserved(theta1,theta2,deltaphi,r,q,chi1,chi2,full_output=True)``
def angles_to_conserved(theta1, theta2, deltaphi, r, q, chi1, chi2, full_output=False): """ Convert angles (theta1,theta2,deltaphi) into conserved quantities (deltachi,kappa,chieff). Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. deltaphi: float Angle between the projections of the two spins onto the orbital plane. r: float Binary separation. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. full_output: boolean, optional (default: False) Return additional outputs. Returns ------- chieff: float Effective spin. cyclesign: integer, optional Sign (either +1 or -1) to cover the two halves of a precesion cycle. deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. Examples -------- ``deltachi,kappa,chieff = precession.angles_to_conserved(theta1,theta2,deltaphi,r,q,chi1,chi2)`` ``deltachi,kappa,chieff,cyclesign = precession.angles_to_conserved(theta1,theta2,deltaphi,r,q,chi1,chi2,full_output=True)`` """ deltachi = eval_deltachi(theta1, theta2, q, chi1, chi2) kappa = eval_kappa(theta1=theta1, theta2=theta2, deltaphi=deltaphi, r=r, q=q, chi1=chi1, chi2=chi2) chieff = eval_chieff(theta1, theta2, q, chi1, chi2) if full_output: cyclesign = np.where(r==np.inf,np.nan,eval_cyclesign(deltaphi=deltaphi)) return np.stack([deltachi, kappa, chieff, cyclesign]) else: return np.stack([deltachi, kappa, chieff])
(theta1, theta2, deltaphi, r, q, chi1, chi2, full_output=False)
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20,812
precession.precession
anglesresonances
Compute the values of the angles corresponding to the two spin-orbit resonances. Parameters ---------- r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltaphiatmax: float Value of the angle deltaphi at the resonance that maximizes kappa. deltaphiatmin: float Value of the angle deltaphi at the resonance that minimizes kappa. theta1atmax: float Value of the angle theta1 at the resonance that maximizes kappa. theta1atmin: float Value of the angle theta1 at the resonance that minimizes kappa. theta2atmax: float Value of the angle theta2 at the resonance that maximizes kappa. theta2atmin: float Value of the angle theta2 at the resonance that minimizes kappa. Examples -------- ``theta1atmin,theta2atmin,deltaphiatmin,theta1atmax,theta2atmax,deltaphiatmax = precession.anglesresonances(r,chieff,q,chi1,chi2)``
def anglesresonances(r, chieff, q, chi1, chi2): """ Compute the values of the angles corresponding to the two spin-orbit resonances. Parameters ---------- r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltaphiatmax: float Value of the angle deltaphi at the resonance that maximizes kappa. deltaphiatmin: float Value of the angle deltaphi at the resonance that minimizes kappa. theta1atmax: float Value of the angle theta1 at the resonance that maximizes kappa. theta1atmin: float Value of the angle theta1 at the resonance that minimizes kappa. theta2atmax: float Value of the angle theta2 at the resonance that maximizes kappa. theta2atmin: float Value of the angle theta2 at the resonance that minimizes kappa. Examples -------- ``theta1atmin,theta2atmin,deltaphiatmin,theta1atmax,theta2atmax,deltaphiatmax = precession.anglesresonances(r,chieff,q,chi1,chi2)`` """ q = np.atleast_1d(q).astype(float) kappamin, kappamax = kapparesonances(r, chieff, q, chi1, chi2) deltachiatmin = deltachiresonance(kappa=kappamin, r=r, chieff=chieff, q=q, chi1=chi1, chi2=chi2) theta1atmin = eval_theta1(deltachiatmin, chieff, q, chi1) theta2atmin = eval_theta2(deltachiatmin, chieff, q, chi2) deltaphiatmin = np.atleast_1d(tiler(np.pi, q)) deltachiatmax = deltachiresonance(kappa=kappamax, r=r, chieff=chieff, q=q, chi1=chi1, chi2=chi2) theta1atmax = eval_theta1(deltachiatmax, chieff, q, chi1) theta2atmax = eval_theta2(deltachiatmax, chieff, q, chi2) deltaphiatmax = np.atleast_1d(tiler(0, q)) return np.stack([theta1atmin, theta2atmin, deltaphiatmin, theta1atmax, theta2atmax, deltaphiatmax])
(r, chieff, q, chi1, chi2)
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20,813
precession.precession
chiefflimits
Limits on the effective spin based only on its definition. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- chieffmax: float Maximum value of the effective spin. chieffmin: float Minimum value of the effective spin. Examples -------- ``chieffmin,chieffmax = precession.chiefflimits(q,chi1,chi2)``
def chiefflimits(q, chi1, chi2): """ Limits on the effective spin based only on its definition. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- chieffmax: float Maximum value of the effective spin. chieffmin: float Minimum value of the effective spin. Examples -------- ``chieffmin,chieffmax = precession.chiefflimits(q,chi1,chi2)`` """ q = np.atleast_1d(q).astype(float) chi1 = np.atleast_1d(chi1).astype(float) chi2 = np.atleast_1d(chi2).astype(float) chiefflim = (chi1+q*chi2)/(1+q) return np.stack([-chiefflim, chiefflim])
(q, chi1, chi2)
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20,814
precession.precession
chip_terms
Compute the two terms entering the effective precessing spin chip. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- chipterm1: float Term in effective precessing spin. chipterm2: float Term in effective precessing spin. Examples -------- ``chipterm1,chipterm2 = precession.chip_terms(theta1,theta2,q,chi1,chi2)``
def chip_terms(theta1, theta2, q, chi1, chi2): """ Compute the two terms entering the effective precessing spin chip. Parameters ---------- theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- chipterm1: float Term in effective precessing spin. chipterm2: float Term in effective precessing spin. Examples -------- ``chipterm1,chipterm2 = precession.chip_terms(theta1,theta2,q,chi1,chi2)`` """ theta1 = np.atleast_1d(theta1).astype(float) theta2 = np.atleast_1d(theta2).astype(float) q = np.atleast_1d(q).astype(float) chipterm1 = chi1*np.sin(theta1) omegatilde = q*(4*q+3)/(4+3*q) chipterm2 = omegatilde * chi2*np.sin(theta2) return np.stack([chipterm1, chipterm2])
(theta1, theta2, q, chi1, chi2)
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0.010229472070932388, 0.017229503020644188 ]
20,815
precession.precession
conserved_to_Jframe
Convert the conserved quanties (deltachi,kappa,chieff) to angular momentum vectors (L,S1,S2) in the frame aligned with the total angular momentum. In particular, we set Jx=Jy=Ly=0. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.conserved_to_Jframe(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)``
def conserved_to_Jframe(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=+1): """ Convert the conserved quanties (deltachi,kappa,chieff) to angular momentum vectors (L,S1,S2) in the frame aligned with the total angular momentum. In particular, we set Jx=Jy=Ly=0. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.conserved_to_Jframe(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)`` """ theta1,theta2,deltaphi = conserved_to_angles(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=cyclesign) Lvec, S1vec, S2vec = angles_to_Jframe(theta1, theta2, deltaphi, r, q, chi1, chi2) return np.stack([Lvec, S1vec, S2vec])
(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=1)
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20,816
precession.precession
conserved_to_Lframe
Convert the conserved quanties (deltachi,kappa,chieff) to angular momentum vectors (L,S1,S2) in the frame aligned with the orbital angular momentum. In particular, we set Lx=Ly=S1y=0. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.conserved_to_Lframe(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)``
def conserved_to_Lframe(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=+1): """ Convert the conserved quanties (deltachi,kappa,chieff) to angular momentum vectors (L,S1,S2) in the frame aligned with the orbital angular momentum. In particular, we set Lx=Ly=S1y=0. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- Lvec: array Cartesian vector of the orbital angular momentum. S1vec: array Cartesian vector of the primary spin. S2vec: array Cartesian vector of the secondary spin. Examples -------- ``Lvec,S1vec,S2vec = precession.conserved_to_Lframe(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)`` """ theta1,theta2,deltaphi = conserved_to_angles(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=cyclesign) Lvec, S1vec, S2vec = angles_to_Lframe(theta1, theta2, deltaphi, r, q, chi1, chi2) return np.stack([Lvec, S1vec, S2vec])
(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=1)
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20,817
precession.precession
conserved_to_angles
Convert conserved quantities (deltachi,kappa,chieff) into angles (theta1,theta2,deltaphi). Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- deltaphi: float Angle between the projections of the two spins onto the orbital plane. theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. Examples -------- ``theta1,theta2,deltaphi = precession.conserved_to_angles(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)``
def conserved_to_angles(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=+1): """ Convert conserved quantities (deltachi,kappa,chieff) into angles (theta1,theta2,deltaphi). Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. cyclesign: integer, optional (default: +1) Sign (either +1 or -1) to cover the two halves of a precesion cycle. Returns ------- deltaphi: float Angle between the projections of the two spins onto the orbital plane. theta1: float Angle between orbital angular momentum and primary spin. theta2: float Angle between orbital angular momentum and secondary spin. Examples -------- ``theta1,theta2,deltaphi = precession.conserved_to_angles(deltachi,kappa,r,chieff,q,chi1,chi2,cyclesign=+1)`` """ theta1= eval_theta1(deltachi, chieff, q, chi1) theta2 = eval_theta2(deltachi, chieff, q, chi2) deltaphi = eval_deltaphi(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=cyclesign) return np.stack([theta1, theta2, deltaphi])
(deltachi, kappa, r, chieff, q, chi1, chi2, cyclesign=1)
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20,818
precession.precession
dchidt2_RHS
Right-hand side of the (ddeltachi/dt)^2 equation. Setting donotnormalize=True is equivalent to mathcalA=1. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. donotnormalize: boolean, optional (default: False) If True omit the numerical prefactor. Returns ------- dchidt2: float Squared time derivative of the weighted spin difference. Examples -------- ``dchidt2 = precession.dchidt2_RHS(r,chieff,q)``
def dchidt2_RHS(deltachi, kappa, r, chieff, q, chi1, chi2, precomputedroots=None, donotnormalize=False): """ Right-hand side of the (ddeltachi/dt)^2 equation. Setting donotnormalize=True is equivalent to mathcalA=1. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. donotnormalize: boolean, optional (default: False) If True omit the numerical prefactor. Returns ------- dchidt2: float Squared time derivative of the weighted spin difference. Examples -------- ``dchidt2 = precession.dchidt2_RHS(r,chieff,q)`` """ q=np.atleast_1d(q).astype(float) u= eval_u(r=r,q=q) deltachiminus,deltachiplus,deltachi3 = deltachiroots(kappa, u, chieff, q, chi1, chi2, precomputedroots=precomputedroots) if donotnormalize: mathcalA = 1 else: mathcalA = ddchidt_prefactor(r, chieff, q) dchidt2 = mathcalA**2 * ( (deltachi-deltachiminus)*(deltachiplus-deltachi)*(deltachi3-(1-q)*deltachi)) return dchidt2
(deltachi, kappa, r, chieff, q, chi1, chi2, precomputedroots=None, donotnormalize=False)
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20,819
precession.precession
ddchidt_prefactor
Numerical prefactor to the ddeltachi/dt derivative. Parameters ---------- r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. Returns ------- mathcalA: float Prefactor in the ddeltachi/dt equation. Examples -------- ``mathcalA = precession.ddchidt_prefactor(r,chieff,q)``
def ddchidt_prefactor(r, chieff, q): """ Numerical prefactor to the ddeltachi/dt derivative. Parameters ---------- r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. Returns ------- mathcalA: float Prefactor in the ddeltachi/dt equation. Examples -------- ``mathcalA = precession.ddchidt_prefactor(r,chieff,q)`` """ r = np.atleast_1d(r).astype(float) chieff = np.atleast_1d(chieff).astype(float) q = np.atleast_1d(q).astype(float) mathcalA = (3/2)*((1+q)**(-1/2))*(r**(-11/4))*(1-(chieff/r**0.5)) return mathcalA
(r, chieff, q)
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20,820
precession.precession
deltachicubic_coefficients
Coefficients of the cubic equation in deltachi for its time evolution. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- coeff0: float Coefficient to the x^0 term in polynomial. coeff1: float Coefficient to the x^1 term in polynomial. coeff2: float Coefficient to the x^2 term in polynomial. coeff3: float Coefficient to the x^3 term in polynomial. Examples -------- ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_coefficients(kappa,u,chieff,q,chi1,chi2)``
def deltachicubic_coefficients(kappa, u, chieff, q, chi1, chi2): """ Coefficients of the cubic equation in deltachi for its time evolution. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- coeff0: float Coefficient to the x^0 term in polynomial. coeff1: float Coefficient to the x^1 term in polynomial. coeff2: float Coefficient to the x^2 term in polynomial. coeff3: float Coefficient to the x^3 term in polynomial. Examples -------- ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_coefficients(kappa,u,chieff,q,chi1,chi2)`` """ kappa = np.atleast_1d(kappa).astype(float) u = np.atleast_1d(u).astype(float) chieff = np.atleast_1d(chieff).astype(float) q = np.atleast_1d(q).astype(float) chi1 = np.atleast_1d(chi1).astype(float) chi2 = np.atleast_1d(chi2).astype(float) coeff3 = u*(1-q) # Machine generated with eq_generator.nb coeff2 = (-1/2 * ((1 + -1 * q))**2 * q**(-1) * (1 + q) + (2 * (1 + -1 \ * q) * ((1 + q))**(-3) * u**2 * (chi1**2 + -1 * q**3 * chi2**2) + -1 \ * (1 + q) * u * (2 * kappa + -1 * chieff))) # Machine generated with eq_generator.nb coeff1 = ((1 + -1 * q) * q**(-1) * ((1 + q))**2 * (2 * kappa + -1 * \ chieff) + (4 * q * ((1 + q))**(-3) * u**2 * (chi1**2 + -1 * q**2 * \ chi2**2) * chieff + -1 * (1 + -1 * q) * q**(-1) * ((1 + q))**(-2) * u \ * (2 * (chi1**2 + q**4 * chi2**2) + q * ((1 + q))**2 * chieff**2))) # Machine generated with eq_generator.nb coeff0 = (-1/2 * q**(-1) * ((1 + q))**3 * ((2 * kappa + -1 * \ chieff))**2 + (q**(-1) * ((1 + q))**(-1) * u * (2 * kappa + -1 * \ chieff) * (2 * (chi1**2 + q**4 * chi2**2) + q * ((1 + q))**2 * \ chieff**2) + -2 * q**(-1) * ((1 + q))**(-5) * u**2 * (((chi1**2 + -1 \ * q**4 * chi2**2))**2 + q * ((1 + q))**3 * (chi1**2 + q**3 * chi2**2) \ * chieff**2))) return np.stack([coeff3, coeff2, coeff1, coeff0])
(kappa, u, chieff, q, chi1, chi2)
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20,821
precession.precession
deltachicubic_rescaled_coefficients
Rescaled coefficients of the cubic equation in deltachi for its time evolution. This is necessary to avoid dividing by (1-q). Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedcoefficients: array, optional (default: None) Pre-computed output of deltachicubic_coefficients for computational efficiency. Returns ------- coeff0: float Coefficient to the x^0 term in polynomial. coeff1: float Coefficient to the x^1 term in polynomial. coeff2: float Coefficient to the x^2 term in polynomial. coeff3: float Coefficient to the x^3 term in polynomial. Examples -------- ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_rescaled_coefficients(kappa,u,chieff,q,chi1,chi2)`` ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_rescaled_coefficients(kappa,u,chieff,q,chi1,chi2,precomputedcoefficients=coeffs)``
def deltachicubic_rescaled_coefficients(kappa, u, chieff, q, chi1, chi2, precomputedcoefficients=None): """ Rescaled coefficients of the cubic equation in deltachi for its time evolution. This is necessary to avoid dividing by (1-q). Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedcoefficients: array, optional (default: None) Pre-computed output of deltachicubic_coefficients for computational efficiency. Returns ------- coeff0: float Coefficient to the x^0 term in polynomial. coeff1: float Coefficient to the x^1 term in polynomial. coeff2: float Coefficient to the x^2 term in polynomial. coeff3: float Coefficient to the x^3 term in polynomial. Examples -------- ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_rescaled_coefficients(kappa,u,chieff,q,chi1,chi2)`` ``coeff3,coeff2,coeff1,coeff0 = precession.deltachicubic_rescaled_coefficients(kappa,u,chieff,q,chi1,chi2,precomputedcoefficients=coeffs)`` """ u = np.atleast_1d(u).astype(float) q = np.atleast_1d(q).astype(float) if precomputedcoefficients is None: _, coeff2, coeff1, coeff0 = deltachicubic_coefficients(kappa, u, chieff, q, chi1, chi2) else: assert precomputedcoefficients.shape[0] == 4, "Shape of precomputedroots must be (3,N), i.e. deltachiminus, deltachiplus, deltachi3. [deltachiroots]" _, coeff2, coeff1, coeff0=np.array(precomputedcoefficients) # Careful! Do not divide coeff3 by (1-q) but recompute explicitely coeff3r = u coeff2r = coeff2 coeff1r = (1-q) * coeff1 coeff0r = (1-q)**2 * coeff0 return np.stack([coeff3r, coeff2r, coeff1r, coeff0r])
(kappa, u, chieff, q, chi1, chi2, precomputedcoefficients=None)
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20,822
precession.precession
deltachilimits
Limits on the weighted spin difference. The contraints considered depend on the inputs provided. - If q, chi1, chi2 are provided, returns the geometrical limits. - If chieff, q, chi1, and chi2 are provided, returns the joint 'rectagle' limits. - If kappa, r, chieff, q, chi1, and chi2 are provided, returns the solution of the cubic that sets the precession-timescale evolution. Parameters ---------- kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. chieff: float, optional (default: None) Effective spin. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits(q=q,chi1=chi1,chi2=chi2)`` ``deltachimin,deltachimax = precession.deltachilimits(chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` ``deltachimin,deltachimax = precession.deltachilimits(kappa=kappa,r=r,chieff=chieff,q=q,chi1=chi1,chi2=chi2)``
def deltachilimits(kappa=None, r=None, chieff=None, q=None, chi1=None, chi2=None,precomputedroots=None): """ Limits on the weighted spin difference. The contraints considered depend on the inputs provided. - If q, chi1, chi2 are provided, returns the geometrical limits. - If chieff, q, chi1, and chi2 are provided, returns the joint 'rectagle' limits. - If kappa, r, chieff, q, chi1, and chi2 are provided, returns the solution of the cubic that sets the precession-timescale evolution. Parameters ---------- kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. chieff: float, optional (default: None) Effective spin. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits(q=q,chi1=chi1,chi2=chi2)`` ``deltachimin,deltachimax = precession.deltachilimits(chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` ``deltachimin,deltachimax = precession.deltachilimits(kappa=kappa,r=r,chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` """ if kappa is None and r is None and chieff is None and q is not None and chi1 is not None and chi2 is not None: deltachimin, deltachimax = deltachilimits_definition(q, chi1, chi2) elif kappa is None and r is None and chieff is not None and q is not None and chi1 is not None and chi2 is not None: deltachimin, deltachimax = deltachilimits_rectangle(chieff, q, chi1, chi2) elif kappa is not None and r is not None and chieff is not None and q is not None and chi1 is not None and chi2 is not None: deltachimin, deltachimax = deltachilimits_plusminus(kappa, r, chieff, q, chi1, chi2, precomputedroots=precomputedroots) else: raise TypeError("Provide either (q, chi1, chi2), (chieff, q, chi1, chi2), or (kappa, r, chieff, q, chi1, chi2).") return np.stack([deltachimin, deltachimax])
(kappa=None, r=None, chieff=None, q=None, chi1=None, chi2=None, precomputedroots=None)
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20,823
precession.precession
deltachilimits_definition
Limits on the weighted spin difference based only on its definition. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachimax: float Maximum value of the effective spin chieff. deltachimin: float Minimum value of the effective spin chieff. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_definition(q,chi1,chi2)``
def deltachilimits_definition(q, chi1, chi2): """ Limits on the weighted spin difference based only on its definition. Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachimax: float Maximum value of the effective spin chieff. deltachimin: float Minimum value of the effective spin chieff. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_definition(q,chi1,chi2)`` """ q = np.atleast_1d(q).astype(float) chi1 = np.atleast_1d(chi1).astype(float) chi2 = np.atleast_1d(chi2).astype(float) deltachilim = np.abs((chi1-q*chi2)/(1+q)) return np.stack([-deltachilim, deltachilim])
(q, chi1, chi2)
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20,824
precession.precession
deltachilimits_plusminus
Limits on the weighted spin difference for given (kappa, r, chieff, q, chi1, chi2). These are two of the solutions of the underlying cubic polynomial. Parameters ---------- kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_plusminus(kappa,r,chieff,q,chi1,chi2)``
def deltachilimits_plusminus(kappa, r, chieff, q, chi1, chi2, precomputedroots=None): """ Limits on the weighted spin difference for given (kappa, r, chieff, q, chi1, chi2). These are two of the solutions of the underlying cubic polynomial. Parameters ---------- kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_plusminus(kappa,r,chieff,q,chi1,chi2)`` """ u = eval_u(r,q) deltachiminus, deltachiplus, _ = deltachiroots(kappa, u, chieff, q, chi1, chi2, full_output=False, precomputedroots=precomputedroots) # Correct when too close to perfect alignment angleup=tiler(0,q) angledown=tiler(np.pi,q) chieffupup = eval_chieff(angleup, angleup, q, chi1, chi2) deltachiupup = eval_deltachi(angleup, angleup, q, chi1, chi2) deltachiminus = np.where(np.isclose(chieff,chieffupup), deltachiupup,deltachiminus) deltachiplus = np.where(np.isclose(chieff,chieffupup), deltachiupup,deltachiplus) chieffdowndown = eval_chieff(angledown, angledown, q, chi1, chi2) deltachidowndown = eval_deltachi(angledown, angledown, q, chi1, chi2) deltachiminus = np.where(np.isclose(chieff,chieffdowndown), deltachidowndown,deltachiminus) deltachiplus = np.where(np.isclose(chieff,chieffdowndown), deltachidowndown,deltachiplus) return np.stack([deltachiminus, deltachiplus])
(kappa, r, chieff, q, chi1, chi2, precomputedroots=None)
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20,825
precession.precession
deltachilimits_rectangle
Limits on the weighted spin difference for given (chieff, q, chi1, chi2). This is a rectangle in the (chieff,deltachi) plane. Parameters ---------- chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_rectangle(chieff,q,chi1,chi2)``
def deltachilimits_rectangle(chieff, q, chi1, chi2): """ Limits on the weighted spin difference for given (chieff, q, chi1, chi2). This is a rectangle in the (chieff,deltachi) plane. Parameters ---------- chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachimax: float Maximum value of the weighted spin difference. deltachimin: float Minimum value of the weighted spin difference. Examples -------- ``deltachimin,deltachimax = precession.deltachilimits_rectangle(chieff,q,chi1,chi2)`` """ chieff = np.atleast_1d(chieff).astype(float) q = np.atleast_1d(q).astype(float) chi1 = np.atleast_1d(chi1).astype(float) chi2 = np.atleast_1d(chi2).astype(float) deltachimin = np.maximum( -chieff - 2*chi1/(1+q), chieff - 2*q*chi2/(1+q)) deltachimax = np.minimum( -chieff + 2*chi1/(1+q), chieff + 2*q*chi2/(1+q)) return np.stack([deltachimin, deltachimax])
(chieff, q, chi1, chi2)
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20,826
precession.precession
deltachioft
Evolution of deltachi on the precessional timescale (without radiation reaction). The broadcasting rules for this function are more general than those of the rest of the code. The variable t is allowed to have shapes (N,M) while all the other variables have shape (N,). This is useful to sample M precession configuration for each of the N binaries specified as inputs. Parameters ---------- t: float Time. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachioft(t,kappa,r,chieff,q,chi1,chi2)``
def deltachioft(t, kappa , r, chieff, q, chi1, chi2, precomputedroots=None): """ Evolution of deltachi on the precessional timescale (without radiation reaction). The broadcasting rules for this function are more general than those of the rest of the code. The variable t is allowed to have shapes (N,M) while all the other variables have shape (N,). This is useful to sample M precession configuration for each of the N binaries specified as inputs. Parameters ---------- t: float Time. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachioft(t,kappa,r,chieff,q,chi1,chi2)`` """ t = np.atleast_1d(t).astype(float) u = eval_u(r,q) deltachiminus,deltachiplus,deltachi3 = deltachiroots(kappa, u, chieff, q, chi1, chi2, precomputedroots=precomputedroots) psiperiod = eval_tau(kappa, r, chieff, q, chi1, chi2, precomputedroots=np.stack([deltachiminus,deltachiplus,deltachi3]), return_psiperiod=True) m = elliptic_parameter(kappa, u, chieff, q, chi1, chi2, precomputedroots=np.stack([deltachiminus,deltachiplus,deltachi3])) sn, _, _, _ = scipy.special.ellipj(t / psiperiod, m) deltachitilde = sn**2 deltachi = deltachirescaling(deltachitilde, kappa, r, chieff, q, chi1, chi2,precomputedroots=np.stack([deltachiminus,deltachiplus,deltachi3])) return deltachi
(t, kappa, r, chieff, q, chi1, chi2, precomputedroots=None)
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20,827
precession.precession
deltachirescaling
Compute deltachi from the rescaled parameter 0<=deltachitilde<=1. Parameters ---------- deltachitilde: float Rescaled version of the weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachirescaling(deltachitilde,kappa,r,chieff,q,chi1,chi2)``
def deltachirescaling(deltachitilde, kappa, r, chieff, q, chi1, chi2,precomputedroots=None): """ Compute deltachi from the rescaled parameter 0<=deltachitilde<=1. Parameters ---------- deltachitilde: float Rescaled version of the weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachirescaling(deltachitilde,kappa,r,chieff,q,chi1,chi2)`` """ deltachiminus, deltachiplus = deltachilimits_plusminus(kappa, r, chieff, q, chi1, chi2,precomputedroots=precomputedroots) deltachi = inverseaffine(deltachitilde, deltachiminus, deltachiplus) return deltachi
(deltachitilde, kappa, r, chieff, q, chi1, chi2, precomputedroots=None)
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20,828
precession.precession
deltachiresonance
Assuming that the inputs correspond to a spin-orbit resonance, find the corresponding value of deltachi. There will be two roots that are coincident if not for numerical errors: for concreteness, return the mean of the real part. This function is dangerous: we do not check that the input is a resonance, that's up to the user (so use at your own risk). Valid inputs are either (kappa,r,chieff,q,chi1,chi2) or (kappa,u,chieff,q,chi1,chi2). Parameters ---------- kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. u: float, optional (default: None) Compactified separation 1/(2L). chieff: float, optional (default: None) Effective spin. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachiresonance(kappa=kappa,r=r,chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` ``deltachi = precession.deltachiresonance(kappa=kappa,u=u,chieff=chieff,q=q,chi1=chi1,chi2=chi2)``
def deltachiresonance(kappa=None, r=None, u=None, chieff=None, q=None, chi1=None, chi2=None): """ Assuming that the inputs correspond to a spin-orbit resonance, find the corresponding value of deltachi. There will be two roots that are coincident if not for numerical errors: for concreteness, return the mean of the real part. This function is dangerous: we do not check that the input is a resonance, that's up to the user (so use at your own risk). Valid inputs are either (kappa,r,chieff,q,chi1,chi2) or (kappa,u,chieff,q,chi1,chi2). Parameters ---------- kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. u: float, optional (default: None) Compactified separation 1/(2L). chieff: float, optional (default: None) Effective spin. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachiresonance(kappa=kappa,r=r,chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` ``deltachi = precession.deltachiresonance(kappa=kappa,u=u,chieff=chieff,q=q,chi1=chi1,chi2=chi2)`` """ if q is None or chi1 is None or chi2 is None or kappa is None: raise TypeError("Please provide q, chi1, and chi2.") if r is None and u is None: raise TypeError("Please provide either r or u.") elif r is not None and u is None: u = eval_u(r=r, q=q) coeffs = deltachicubic_coefficients(kappa, u, chieff, q, chi1, chi2) with np.errstate(invalid='ignore'): # nan is ok here deltachires = np.mean(np.real(np.sort_complex(roots_vec(coeffs.T))[:,:-1]),axis=1) return deltachires
(kappa=None, r=None, u=None, chieff=None, q=None, chi1=None, chi2=None)
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20,829
precession.precession
deltachiroots
Roots of the cubic equation in deltachi that describes the dynamics on the precession timescale. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. full_output: boolean, optional (default: True) Return additional outputs. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi3: float, optional Spurious root of the deltachi evolution. deltachiminus: float Lowest physical root of the deltachi evolution. deltachiplus: float Lowest physical root of the deltachi evolution. Examples -------- ``deltachiminus,deltachiplus,deltachi3 = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2)`` ``deltachiminus,deltachiplus,deltachi3 = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2,precomputedroots=roots)`` ``deltachiminus,deltachiplus = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2,full_output=False)``
def deltachiroots(kappa, u, chieff, q, chi1, chi2, full_output=True, precomputedroots=None): """ Roots of the cubic equation in deltachi that describes the dynamics on the precession timescale. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. full_output: boolean, optional (default: True) Return additional outputs. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi3: float, optional Spurious root of the deltachi evolution. deltachiminus: float Lowest physical root of the deltachi evolution. deltachiplus: float Lowest physical root of the deltachi evolution. Examples -------- ``deltachiminus,deltachiplus,deltachi3 = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2)`` ``deltachiminus,deltachiplus,deltachi3 = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2,precomputedroots=roots)`` ``deltachiminus,deltachiplus = precession.deltachiroots(kappa,u,chieff,q,chi1,chi2,full_output=False)`` """ if precomputedroots is None: deltachiminus, deltachiplus, _ = wraproots(deltachicubic_coefficients, kappa, u, chieff, q, chi1, chi2).T # If you need the spurious root as well. if full_output: _, _, deltachi3 = wraproots(deltachicubic_rescaled_coefficients, kappa, u, chieff, q, chi1, chi2).T # Otherwise avoid (for computational efficiency) else: deltachi3 = np.atleast_1d(tiler(np.nan,deltachiminus)) return np.stack([deltachiminus, deltachiplus, deltachi3]) else: precomputedroots=np.array(precomputedroots) assert precomputedroots.shape[0] == 3, "Shape of precomputedroots must be (3,N), i.e. deltachiminus, deltachiplus, deltachi3. [deltachiroots]" return precomputedroots
(kappa, u, chieff, q, chi1, chi2, full_output=True, precomputedroots=None)
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20,830
precession.precession
deltachisampling
Sample N values of deltachi at fixed separation accoring to its PN-weighted distribution function. Can only be used to sample the *same* number of configuration for each binary. If the inputs have shape (M,) the output will have shape - (M,N) if M>1 and N>1; - (M,) if N=1; - (N,) if M=1. Parameters ---------- kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. N: integer, optional (default: 1) Number of samples. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachisampling(kappa,r,chieff,q,chi1,chi2,N=1)``
def deltachisampling(kappa, r, chieff, q, chi1, chi2, N=1, precomputedroots=None): """ Sample N values of deltachi at fixed separation accoring to its PN-weighted distribution function. Can only be used to sample the *same* number of configuration for each binary. If the inputs have shape (M,) the output will have shape - (M,N) if M>1 and N>1; - (M,) if N=1; - (N,) if M=1. Parameters ---------- kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. N: integer, optional (default: 1) Number of samples. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- deltachi: float Weighted spin difference. Examples -------- ``deltachi = precession.deltachisampling(kappa,r,chieff,q,chi1,chi2,N=1)`` """ u= eval_u(r=r,q=q) # Compute the deltachi roots only once and pass them to both functions deltachiminus,deltachiplus,deltachi3 = deltachiroots(kappa, u, chieff, q, chi1, chi2, precomputedroots=precomputedroots) tau = eval_tau(kappa, r, chieff, q, chi1, chi2, precomputedroots=np.stack([deltachiminus,deltachiplus,deltachi3])) # For each binary, generate N samples between 0 and tau. # For r=infinity use a simple placeholder t = np.random.uniform(np.zeros(len(tau)),np.where(u!=0, tau, 0),size=(N,len(tau))) # np.squeeze is necessary to return shape (M,) instead of (M,1) if N=1 # np.atleast_1d is necessary to return shape (1,) instead of (,) if M=N=1 t= np.atleast_1d(np.squeeze(t)) # Note the special broadcasting rules of deltachioft, see deltachioft.__docs__ # deltachi has shape (M, N). deltachi = deltachioft(t, kappa , r, chieff, q, chi1, chi2, precomputedroots=np.stack([deltachiminus,deltachiplus,deltachi3])) # For infinity use the analytic result. Ignore q=1 "divide by zero" warning: with warnings.catch_warnings(): warnings.filterwarnings("ignore", category=RuntimeWarning) deltachiinf = np.squeeze(np.tile( eval_deltachiinf(kappa, chieff, q, chi1, chi2), (N,1) )) deltachi=np.where(u!=0, deltachi,deltachiinf) return np.squeeze(deltachi.T)
(kappa, r, chieff, q, chi1, chi2, N=1, precomputedroots=None)
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20,831
precession.precession
deltachitildeav
Precession average of the rescaled weighted spin difference. Parameters ---------- m: float Parameter of elliptic function(s). tol: float, optional (default: 1e-7) Numerical tolerance, see source code for details. Returns ------- coeff: float Coefficient. Examples -------- ``coeff = precession.deltachitildeav(m,tol=1e-7)``
def deltachitildeav(m,tol=1e-7): """ Precession average of the rescaled weighted spin difference. Parameters ---------- m: float Parameter of elliptic function(s). tol: float, optional (default: 1e-7) Numerical tolerance, see source code for details. Returns ------- coeff: float Coefficient. Examples -------- ``coeff = precession.deltachitildeav(m,tol=1e-7)`` """ m = np.atleast_1d(m).astype(float) # The limit of the Ssav coefficient as m->0 is finite and equal to 1/2. # This is implementation is numerically stable up to m~1e-10. # For m=1e-7, the analytic m=0 limit is returned with a precision of 1e-9, which is enough. m = np.minimum(np.maximum(tol, m),1-tol) coeff = (1-scipy.special.ellipe(m)/scipy.special.ellipk(m))/m return coeff
(m, tol=1e-07)
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20,832
precession.precession
deltachitildeav2
Precession average of the rescaled weighted spin difference squared. Parameters ---------- m: float Parameter of elliptic function(s). tol: float, optional (default: 1e-7) Numerical tolerance, see source code for details. Returns ------- coeff: float Coefficient. Examples -------- ``coeff = precession.deltachitildeav2(m,tol=1e-7)``
def deltachitildeav2(m,tol=1e-7): """ Precession average of the rescaled weighted spin difference squared. Parameters ---------- m: float Parameter of elliptic function(s). tol: float, optional (default: 1e-7) Numerical tolerance, see source code for details. Returns ------- coeff: float Coefficient. Examples -------- ``coeff = precession.deltachitildeav2(m,tol=1e-7)`` """ m = np.atleast_1d(m).astype(float) # The limit of the Ssav coefficient as m->0 is finite and equal to 1/2. # This is implementation is numerically stable up to m~1e-10. # For m=1e-7, the analytic m=0 limit is returned with a precision of 1e-9, which is enough. m = np.minimum(np.maximum(tol, m),1-tol) coeff = (2+m-2*(1+m)*scipy.special.ellipe(m)/scipy.special.ellipk(m)) / (3*m**2) return coeff
(m, tol=1e-07)
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20,833
precession.precession
dot_nested
Dot product between 2D arrays along last axis. Parameters ---------- x : array Input array. y : array Input array. Returns ------- z : array Dot product array. Examples -------- ``z = dot_nested(x, y)``
def dot_nested(x, y): """ Dot product between 2D arrays along last axis. Parameters ---------- x : array Input array. y : array Input array. Returns ------- z : array Dot product array. Examples -------- ``z = dot_nested(x, y)`` """ return np.einsum('ij, ij->i', x, y)
(x, y)
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20,834
precession.precession
ellippi
Incomplete elliptic integral of the third kind. This is reconstructed using scipy's implementation of Carlson's R integrals (arxiv:math/9409227). Parameters ---------- n: foat Characheristic of the elliptic integral. phi: float Amplitude of the elliptic integral. m: float Parameter of the elliptic integral Returns ------- piintegral: float Incomplete elliptic integral of the third kind Examples -------- ``piintegral = precession.ellippi(n, phi, m)``
def ellippi(n, phi, m): """ Incomplete elliptic integral of the third kind. This is reconstructed using scipy's implementation of Carlson's R integrals (arxiv:math/9409227). Parameters ---------- n: foat Characheristic of the elliptic integral. phi: float Amplitude of the elliptic integral. m: float Parameter of the elliptic integral Returns ------- piintegral: float Incomplete elliptic integral of the third kind Examples -------- ``piintegral = precession.ellippi(n, phi, m)`` """ # Important: this requires scipy>=1.8.0 # https://docs.scipy.org/doc/scipy/release.1.8.0.html # Notation used here: # https://reference.wolfram.com/language/ref/EllipticPi.html # A much slower implementation using simpy # from sympy import elliptic_pi #return float(elliptic_pi(float(n), float(phi), float(m))) n = np.array(n) phi = np.array(phi) m = np.array(m) if ~np.all(phi>=0) or ~np.all(phi<=np.pi/2) or ~np.all(m>=0) or ~np.all(m<=1): warnings.warn("Elliptic intergal of the third kind evaluated outside of the expected domain. Our implementation has not been tested in this regime!", Warning) # Eq (61) in Carlson 1994 (arxiv:math/9409227v1). Careful with the notation: one has k^2 --> m and n --> -n. c = (1/np.sin(phi))**2 return scipy.special.elliprf(c-1,c-m,c) +(np.array(n)/3)*scipy.special.elliprj(c-1,c-m,c,c-n)
(n, phi, m)
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20,835
precession.precession
elliptic_parameter
Parameter m entering elliptic functions for the evolution of deltachi. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- m: float Parameter of elliptic function(s). Examples -------- ``m = precession.elliptic_parameter(kappa,u,chieff,q,chi1,chi2)``
def elliptic_parameter(kappa, u, chieff, q, chi1, chi2, precomputedroots=None): """ Parameter m entering elliptic functions for the evolution of deltachi. Parameters ---------- kappa: float Asymptotic angular momentum. u: float Compactified separation 1/(2L). chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. precomputedroots: array, optional (default: None) Pre-computed output of deltachiroots for computational efficiency. Returns ------- m: float Parameter of elliptic function(s). Examples -------- ``m = precession.elliptic_parameter(kappa,u,chieff,q,chi1,chi2)`` """ q=np.atleast_1d(q).astype(float) deltachiminus,deltachiplus,deltachi3 = deltachiroots(kappa, u, chieff, q, chi1, chi2, precomputedroots=precomputedroots) m = (1-q)*(deltachiplus-deltachiminus)/(deltachi3-(1-q)*deltachiminus) return m
(kappa, u, chieff, q, chi1, chi2, precomputedroots=None)
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20,836
precession.precession
eval_J
Magnitude of the total angular momentum. Provide either (theta1,theta2,deltaphi,r,q,chi1,chhi2) or (kappa,r,q). Parameters ---------- theta1: float, optional (default: None) Angle between orbital angular momentum and primary spin. theta2: float, optional (default: None) Angle between orbital angular momentum and secondary spin. deltaphi: float, optional (default: None) Angle between the projections of the two spins onto the orbital plane. kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- J: float Magnitude of the total angular momentum. Examples -------- ``J = precession.eval_J(theta1=theta1,theta2=theta2,deltaphi=deltaphi,r=r,q=q,chi1=chi1,chi2=chi2)`` ``J = precession.eval_J(kappa=kappa,r=r,q=q,chi1=chi1,chi2=chi2)``
def eval_J(theta1=None, theta2=None, deltaphi=None, kappa=None, r=None, q=None, chi1=None, chi2=None): """ Magnitude of the total angular momentum. Provide either (theta1,theta2,deltaphi,r,q,chi1,chhi2) or (kappa,r,q). Parameters ---------- theta1: float, optional (default: None) Angle between orbital angular momentum and primary spin. theta2: float, optional (default: None) Angle between orbital angular momentum and secondary spin. deltaphi: float, optional (default: None) Angle between the projections of the two spins onto the orbital plane. kappa: float, optional (default: None) Asymptotic angular momentum. r: float, optional (default: None) Binary separation. q: float, optional (default: None) Mass ratio: 0<=q<=1. chi1: float, optional (default: None) Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float, optional (default: None) Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- J: float Magnitude of the total angular momentum. Examples -------- ``J = precession.eval_J(theta1=theta1,theta2=theta2,deltaphi=deltaphi,r=r,q=q,chi1=chi1,chi2=chi2)`` ``J = precession.eval_J(kappa=kappa,r=r,q=q,chi1=chi1,chi2=chi2)`` """ if theta1 is not None and theta2 is not None and deltaphi is not None and kappa is None and r is not None and q is not None and chi1 is not None and chi2 is not None: theta1 = np.atleast_1d(theta1).astype(float) theta2 = np.atleast_1d(theta2).astype(float) deltaphi = np.atleast_1d(deltaphi).astype(float) q = np.atleast_1d(q).astype(float) S1 = eval_S1(q, chi1) S2 = eval_S2(q, chi2) L = eval_L(r, q) S = eval_S(theta1=theta1, theta2=theta2, deltaphi=deltaphi, q=q, chi1=chi1, chi2=chi2) J = (L**2+S**2+2*L*(S1*np.cos(theta1)+S2*np.cos(theta2)))**0.5 elif theta1 is None and theta2 is None and deltaphi is None and kappa is not None and r is not None and q is not None and chi1 is None and chi2 is None: kappa = np.atleast_1d(kappa).astype(float) L = eval_L(r, q) J = (2*L*kappa + L**2)**0.5 else: raise TypeError("Provide either (theta1,theta2,deltaphi,r,q,chi1,chhi2) or (kappa,r,q).") return J
(theta1=None, theta2=None, deltaphi=None, kappa=None, r=None, q=None, chi1=None, chi2=None)
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20,837
precession.precession
eval_L
Newtonian angular momentum of the binary. Parameters ---------- r: float Binary separation. q: float Mass ratio: 0<=q<=1. Returns ------- L: float Magnitude of the Newtonian orbital angular momentum. Examples -------- ``L = precession.eval_L(r,q)``
def eval_L(r, q): """ Newtonian angular momentum of the binary. Parameters ---------- r: float Binary separation. q: float Mass ratio: 0<=q<=1. Returns ------- L: float Magnitude of the Newtonian orbital angular momentum. Examples -------- ``L = precession.eval_L(r,q)`` """ r = np.atleast_1d(r).astype(float) q = np.atleast_1d(q).astype(float) L = (q/(1+q)**2)*r**0.5 return L
(r, q)
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20,838
precession.precession
eval_OmegaL
Evaluate the precession frequency OmegaL along the precession cycle. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- OmegaL: float Precession frequency of L about J. Examples -------- ``OmegaL = precession.eval_OmegaL(deltachi,kappa,r,chieff,q,chi1,chi2)``
def eval_OmegaL(deltachi, kappa, r, chieff, q, chi1, chi2): """ Evaluate the precession frequency OmegaL along the precession cycle. Parameters ---------- deltachi: float Weighted spin difference. kappa: float Asymptotic angular momentum. r: float Binary separation. chieff: float Effective spin. q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. chi2: float Dimensionless spin of the secondary (lighter) black hole: 0<=chi2<=1. Returns ------- OmegaL: float Precession frequency of L about J. Examples -------- ``OmegaL = precession.eval_OmegaL(deltachi,kappa,r,chieff,q,chi1,chi2)`` """ deltachi = np.atleast_1d(deltachi).astype(float) q = np.atleast_1d(q).astype(float) r = np.atleast_1d(r).astype(float) bigC0, bigCplus, bigCminus,bigRplus,bigRminus = intertial_ingredients(kappa, r, chieff, q, chi1, chi2) OmegaL = bigC0 * (1 - bigCplus/(bigRplus - deltachi * (1-q)*r**(-1/2)) - bigCminus/(bigRminus - deltachi * (1-q)*r**(-1/2)) ) return OmegaL
(deltachi, kappa, r, chieff, q, chi1, chi2)
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20,839
precession.precession
eval_S
Magnitude of the total spin. Valid inputs are either (theta1, theta2, deltaphi, q, chi1, chi2) or (deltachi, kappa, r, chieff, q). Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. Returns ------- S: float Magnitude of the total spin. Examples -------- ``S = precession.eval_S(theta1=theta1,theta2=theta2,deltaphi=deltaphi,q=q,chi1=chi1,chi2=chi2)`` ``S = precession.eval_S(deltachi=deltachi,kappa=kappa,r=r,chieff=chieff,q=q)``
def eval_S(theta1=None, theta2=None, deltaphi=None, deltachi=None, kappa=None, r=None, chieff=None, q=None, chi1=None, chi2=None): """ Magnitude of the total spin. Valid inputs are either (theta1, theta2, deltaphi, q, chi1, chi2) or (deltachi, kappa, r, chieff, q). Parameters ---------- q: float Mass ratio: 0<=q<=1. chi1: float Dimensionless spin of the primary (heavier) black hole: 0<=chi1<=1. Returns ------- S: float Magnitude of the total spin. Examples -------- ``S = precession.eval_S(theta1=theta1,theta2=theta2,deltaphi=deltaphi,q=q,chi1=chi1,chi2=chi2)`` ``S = precession.eval_S(deltachi=deltachi,kappa=kappa,r=r,chieff=chieff,q=q)`` """ if theta1 is not None and theta2 is not None and deltaphi is not None and deltachi is None and kappa is None and r is None and chieff is None and q is not None and chi1 is not None and chi2 is not None: theta1 = np.atleast_1d(theta1).astype(float) theta2 = np.atleast_1d(theta2).astype(float) deltaphi = np.atleast_1d(deltaphi).astype(float) S1 = eval_S1(q, chi1) S2 = eval_S2(q, chi2) S = (S1**2 + S2**2 + 2*S1*S2*(np.sin(theta1)*np.sin(theta2)*np.cos(deltaphi)+np.cos(theta1)*np.cos(theta2)))**0.5 if theta1 is None and theta2 is None and deltaphi is None and deltachi is not None and kappa is not None and r is not None and chieff is not None and q is not None and chi1 is None and chi2 is None: deltachi = np.atleast_1d(deltachi).astype(float) kappa = np.atleast_1d(kappa).astype(float) r = np.atleast_1d(r).astype(float) chieff = np.atleast_1d(chieff).astype(float) q = np.atleast_1d(q).astype(float) S = ( q /(1+q)**2 * r**(1/2) * (2*kappa - chieff - deltachi * (1 - q)/(1 + q)) )**(1/2) else: TypeError("Please provide provide either (theta1,theta2,deltaphi,r,q,chi1,chhi2) or (J,r,q).") return S
(theta1=None, theta2=None, deltaphi=None, deltachi=None, kappa=None, r=None, chieff=None, q=None, chi1=None, chi2=None)
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