mirror of
https://github.com/python/cpython
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781 lines
29 KiB
Python
781 lines
29 KiB
Python
"""Class for printing reports on profiled python code."""
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# Written by James Roskind
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# Based on prior profile module by Sjoerd Mullender...
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# which was hacked somewhat by: Guido van Rossum
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# Copyright Disney Enterprises, Inc. All Rights Reserved.
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# Licensed to PSF under a Contributor Agreement
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND,
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# either express or implied. See the License for the specific language
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# governing permissions and limitations under the License.
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import sys
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import os
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import time
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import marshal
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import re
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from enum import StrEnum, _simple_enum
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from functools import cmp_to_key
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from dataclasses import dataclass
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from typing import Dict
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__all__ = ["Stats", "SortKey", "FunctionProfile", "StatsProfile"]
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@_simple_enum(StrEnum)
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class SortKey:
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CALLS = 'calls', 'ncalls'
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CUMULATIVE = 'cumulative', 'cumtime'
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FILENAME = 'filename', 'module'
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LINE = 'line'
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NAME = 'name'
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NFL = 'nfl'
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PCALLS = 'pcalls'
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STDNAME = 'stdname'
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TIME = 'time', 'tottime'
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def __new__(cls, *values):
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value = values[0]
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obj = str.__new__(cls, value)
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obj._value_ = value
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for other_value in values[1:]:
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cls._value2member_map_[other_value] = obj
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obj._all_values = values
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return obj
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@dataclass(unsafe_hash=True)
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class FunctionProfile:
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ncalls: int
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tottime: float
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percall_tottime: float
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cumtime: float
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percall_cumtime: float
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file_name: str
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line_number: int
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@dataclass(unsafe_hash=True)
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class StatsProfile:
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'''Class for keeping track of an item in inventory.'''
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total_tt: float
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func_profiles: Dict[str, FunctionProfile]
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class Stats:
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"""This class is used for creating reports from data generated by the
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Profile class. It is a "friend" of that class, and imports data either
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by direct access to members of Profile class, or by reading in a dictionary
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that was emitted (via marshal) from the Profile class.
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The big change from the previous Profiler (in terms of raw functionality)
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is that an "add()" method has been provided to combine Stats from
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several distinct profile runs. Both the constructor and the add()
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method now take arbitrarily many file names as arguments.
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All the print methods now take an argument that indicates how many lines
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to print. If the arg is a floating point number between 0 and 1.0, then
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it is taken as a decimal percentage of the available lines to be printed
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(e.g., .1 means print 10% of all available lines). If it is an integer,
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it is taken to mean the number of lines of data that you wish to have
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printed.
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The sort_stats() method now processes some additional options (i.e., in
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addition to the old -1, 0, 1, or 2 that are respectively interpreted as
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'stdname', 'calls', 'time', and 'cumulative'). It takes either an
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arbitrary number of quoted strings or SortKey enum to select the sort
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order.
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For example sort_stats('time', 'name') or sort_stats(SortKey.TIME,
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SortKey.NAME) sorts on the major key of 'internal function time', and on
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the minor key of 'the name of the function'. Look at the two tables in
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sort_stats() and get_sort_arg_defs(self) for more examples.
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All methods return self, so you can string together commands like:
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Stats('foo', 'goo').strip_dirs().sort_stats('calls').\
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print_stats(5).print_callers(5)
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"""
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def __init__(self, *args, stream=None):
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self.stream = stream or sys.stdout
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if not len(args):
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arg = None
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else:
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arg = args[0]
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args = args[1:]
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self.init(arg)
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self.add(*args)
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def init(self, arg):
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self.all_callees = None # calc only if needed
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self.files = []
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self.fcn_list = None
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self.total_tt = 0
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self.total_calls = 0
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self.prim_calls = 0
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self.max_name_len = 0
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self.top_level = set()
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self.stats = {}
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self.sort_arg_dict = {}
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self.load_stats(arg)
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try:
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self.get_top_level_stats()
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except Exception:
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print("Invalid timing data %s" %
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(self.files[-1] if self.files else ''), file=self.stream)
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raise
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def load_stats(self, arg):
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if arg is None:
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self.stats = {}
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return
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elif isinstance(arg, str):
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with open(arg, 'rb') as f:
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self.stats = marshal.load(f)
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try:
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file_stats = os.stat(arg)
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arg = time.ctime(file_stats.st_mtime) + " " + arg
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except: # in case this is not unix
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pass
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self.files = [arg]
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elif hasattr(arg, 'create_stats'):
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arg.create_stats()
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self.stats = arg.stats
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arg.stats = {}
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if not self.stats:
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raise TypeError("Cannot create or construct a %r object from %r"
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% (self.__class__, arg))
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return
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def get_top_level_stats(self):
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for func, (cc, nc, tt, ct, callers) in self.stats.items():
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self.total_calls += nc
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self.prim_calls += cc
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self.total_tt += tt
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if ("jprofile", 0, "profiler") in callers:
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self.top_level.add(func)
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if len(func_std_string(func)) > self.max_name_len:
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self.max_name_len = len(func_std_string(func))
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def add(self, *arg_list):
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if not arg_list:
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return self
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for item in reversed(arg_list):
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if type(self) != type(item):
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item = Stats(item)
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self.files += item.files
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self.total_calls += item.total_calls
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self.prim_calls += item.prim_calls
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self.total_tt += item.total_tt
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for func in item.top_level:
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self.top_level.add(func)
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if self.max_name_len < item.max_name_len:
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self.max_name_len = item.max_name_len
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self.fcn_list = None
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for func, stat in item.stats.items():
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if func in self.stats:
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old_func_stat = self.stats[func]
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else:
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old_func_stat = (0, 0, 0, 0, {},)
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self.stats[func] = add_func_stats(old_func_stat, stat)
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return self
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def dump_stats(self, filename):
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"""Write the profile data to a file we know how to load back."""
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with open(filename, 'wb') as f:
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marshal.dump(self.stats, f)
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# list the tuple indices and directions for sorting,
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# along with some printable description
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sort_arg_dict_default = {
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"calls" : (((1,-1), ), "call count"),
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"ncalls" : (((1,-1), ), "call count"),
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"cumtime" : (((3,-1), ), "cumulative time"),
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"cumulative": (((3,-1), ), "cumulative time"),
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"filename" : (((4, 1), ), "file name"),
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"line" : (((5, 1), ), "line number"),
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"module" : (((4, 1), ), "file name"),
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"name" : (((6, 1), ), "function name"),
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"nfl" : (((6, 1),(4, 1),(5, 1),), "name/file/line"),
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"pcalls" : (((0,-1), ), "primitive call count"),
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"stdname" : (((7, 1), ), "standard name"),
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"time" : (((2,-1), ), "internal time"),
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"tottime" : (((2,-1), ), "internal time"),
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}
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def get_sort_arg_defs(self):
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"""Expand all abbreviations that are unique."""
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if not self.sort_arg_dict:
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self.sort_arg_dict = dict = {}
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bad_list = {}
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for word, tup in self.sort_arg_dict_default.items():
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fragment = word
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while fragment:
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if not fragment:
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break
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if fragment in dict:
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bad_list[fragment] = 0
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break
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dict[fragment] = tup
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fragment = fragment[:-1]
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for word in bad_list:
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del dict[word]
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return self.sort_arg_dict
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def sort_stats(self, *field):
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if not field:
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self.fcn_list = 0
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return self
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if len(field) == 1 and isinstance(field[0], int):
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# Be compatible with old profiler
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field = [ {-1: "stdname",
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0: "calls",
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1: "time",
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2: "cumulative"}[field[0]] ]
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elif len(field) >= 2:
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for arg in field[1:]:
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if type(arg) != type(field[0]):
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raise TypeError("Can't have mixed argument type")
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sort_arg_defs = self.get_sort_arg_defs()
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sort_tuple = ()
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self.sort_type = ""
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connector = ""
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for word in field:
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if isinstance(word, SortKey):
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word = word.value
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sort_tuple = sort_tuple + sort_arg_defs[word][0]
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self.sort_type += connector + sort_arg_defs[word][1]
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connector = ", "
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stats_list = []
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for func, (cc, nc, tt, ct, callers) in self.stats.items():
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stats_list.append((cc, nc, tt, ct) + func +
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(func_std_string(func), func))
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stats_list.sort(key=cmp_to_key(TupleComp(sort_tuple).compare))
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self.fcn_list = fcn_list = []
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for tuple in stats_list:
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fcn_list.append(tuple[-1])
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return self
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def reverse_order(self):
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if self.fcn_list:
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self.fcn_list.reverse()
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return self
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def strip_dirs(self):
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oldstats = self.stats
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self.stats = newstats = {}
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max_name_len = 0
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for func, (cc, nc, tt, ct, callers) in oldstats.items():
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newfunc = func_strip_path(func)
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if len(func_std_string(newfunc)) > max_name_len:
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max_name_len = len(func_std_string(newfunc))
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newcallers = {}
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for func2, caller in callers.items():
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newcallers[func_strip_path(func2)] = caller
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if newfunc in newstats:
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newstats[newfunc] = add_func_stats(
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newstats[newfunc],
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(cc, nc, tt, ct, newcallers))
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else:
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newstats[newfunc] = (cc, nc, tt, ct, newcallers)
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old_top = self.top_level
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self.top_level = new_top = set()
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for func in old_top:
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new_top.add(func_strip_path(func))
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self.max_name_len = max_name_len
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self.fcn_list = None
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self.all_callees = None
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return self
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def calc_callees(self):
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if self.all_callees:
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return
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self.all_callees = all_callees = {}
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for func, (cc, nc, tt, ct, callers) in self.stats.items():
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if not func in all_callees:
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all_callees[func] = {}
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for func2, caller in callers.items():
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if not func2 in all_callees:
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all_callees[func2] = {}
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all_callees[func2][func] = caller
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return
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#******************************************************************
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# The following functions support actual printing of reports
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#******************************************************************
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# Optional "amount" is either a line count, or a percentage of lines.
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def eval_print_amount(self, sel, list, msg):
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new_list = list
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if isinstance(sel, str):
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try:
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rex = re.compile(sel)
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except re.error:
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msg += " <Invalid regular expression %r>\n" % sel
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return new_list, msg
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new_list = []
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for func in list:
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if rex.search(func_std_string(func)):
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new_list.append(func)
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else:
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count = len(list)
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if isinstance(sel, float) and 0.0 <= sel < 1.0:
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count = int(count * sel + .5)
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new_list = list[:count]
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elif isinstance(sel, int) and 0 <= sel < count:
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count = sel
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new_list = list[:count]
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if len(list) != len(new_list):
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msg += " List reduced from %r to %r due to restriction <%r>\n" % (
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len(list), len(new_list), sel)
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return new_list, msg
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def get_stats_profile(self):
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"""This method returns an instance of StatsProfile, which contains a mapping
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of function names to instances of FunctionProfile. Each FunctionProfile
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instance holds information related to the function's profile such as how
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long the function took to run, how many times it was called, etc...
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"""
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func_list = self.fcn_list[:] if self.fcn_list else list(self.stats.keys())
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if not func_list:
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return StatsProfile(0, {})
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total_tt = float(f8(self.total_tt))
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func_profiles = {}
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stats_profile = StatsProfile(total_tt, func_profiles)
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for func in func_list:
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cc, nc, tt, ct, callers = self.stats[func]
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file_name, line_number, func_name = func
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ncalls = str(nc) if nc == cc else (str(nc) + '/' + str(cc))
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tottime = float(f8(tt))
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percall_tottime = -1 if nc == 0 else float(f8(tt/nc))
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cumtime = float(f8(ct))
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percall_cumtime = -1 if cc == 0 else float(f8(ct/cc))
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func_profile = FunctionProfile(
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ncalls,
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tottime, # time spent in this function alone
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percall_tottime,
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cumtime, # time spent in the function plus all functions that this function called,
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percall_cumtime,
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file_name,
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line_number
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)
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func_profiles[func_name] = func_profile
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return stats_profile
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def get_print_list(self, sel_list):
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width = self.max_name_len
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if self.fcn_list:
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stat_list = self.fcn_list[:]
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msg = " Ordered by: " + self.sort_type + '\n'
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else:
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stat_list = list(self.stats.keys())
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msg = " Random listing order was used\n"
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for selection in sel_list:
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stat_list, msg = self.eval_print_amount(selection, stat_list, msg)
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count = len(stat_list)
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if not stat_list:
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return 0, stat_list
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print(msg, file=self.stream)
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if count < len(self.stats):
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width = 0
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for func in stat_list:
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if len(func_std_string(func)) > width:
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width = len(func_std_string(func))
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return width+2, stat_list
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def print_stats(self, *amount):
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for filename in self.files:
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print(filename, file=self.stream)
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if self.files:
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print(file=self.stream)
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indent = ' ' * 8
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for func in self.top_level:
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print(indent, func_get_function_name(func), file=self.stream)
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print(indent, self.total_calls, "function calls", end=' ', file=self.stream)
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if self.total_calls != self.prim_calls:
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print("(%d primitive calls)" % self.prim_calls, end=' ', file=self.stream)
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print("in %.3f seconds" % self.total_tt, file=self.stream)
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print(file=self.stream)
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width, list = self.get_print_list(amount)
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if list:
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self.print_title()
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for func in list:
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self.print_line(func)
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print(file=self.stream)
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print(file=self.stream)
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return self
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def print_callees(self, *amount):
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width, list = self.get_print_list(amount)
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if list:
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self.calc_callees()
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self.print_call_heading(width, "called...")
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for func in list:
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if func in self.all_callees:
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self.print_call_line(width, func, self.all_callees[func])
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else:
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self.print_call_line(width, func, {})
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print(file=self.stream)
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print(file=self.stream)
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return self
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def print_callers(self, *amount):
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width, list = self.get_print_list(amount)
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if list:
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self.print_call_heading(width, "was called by...")
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for func in list:
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cc, nc, tt, ct, callers = self.stats[func]
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self.print_call_line(width, func, callers, "<-")
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print(file=self.stream)
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print(file=self.stream)
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return self
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def print_call_heading(self, name_size, column_title):
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print("Function ".ljust(name_size) + column_title, file=self.stream)
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# print sub-header only if we have new-style callers
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subheader = False
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for cc, nc, tt, ct, callers in self.stats.values():
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if callers:
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value = next(iter(callers.values()))
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subheader = isinstance(value, tuple)
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break
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if subheader:
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print(" "*name_size + " ncalls tottime cumtime", file=self.stream)
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def print_call_line(self, name_size, source, call_dict, arrow="->"):
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print(func_std_string(source).ljust(name_size) + arrow, end=' ', file=self.stream)
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if not call_dict:
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print(file=self.stream)
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return
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clist = sorted(call_dict.keys())
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indent = ""
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for func in clist:
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name = func_std_string(func)
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value = call_dict[func]
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if isinstance(value, tuple):
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nc, cc, tt, ct = value
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if nc != cc:
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substats = '%d/%d' % (nc, cc)
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else:
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substats = '%d' % (nc,)
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substats = '%s %s %s %s' % (substats.rjust(7+2*len(indent)),
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f8(tt), f8(ct), name)
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left_width = name_size + 1
|
|
else:
|
|
substats = '%s(%r) %s' % (name, value, f8(self.stats[func][3]))
|
|
left_width = name_size + 3
|
|
print(indent*left_width + substats, file=self.stream)
|
|
indent = " "
|
|
|
|
def print_title(self):
|
|
print(' ncalls tottime percall cumtime percall', end=' ', file=self.stream)
|
|
print('filename:lineno(function)', file=self.stream)
|
|
|
|
def print_line(self, func): # hack: should print percentages
|
|
cc, nc, tt, ct, callers = self.stats[func]
|
|
c = str(nc)
|
|
if nc != cc:
|
|
c = c + '/' + str(cc)
|
|
print(c.rjust(9), end=' ', file=self.stream)
|
|
print(f8(tt), end=' ', file=self.stream)
|
|
if nc == 0:
|
|
print(' '*8, end=' ', file=self.stream)
|
|
else:
|
|
print(f8(tt/nc), end=' ', file=self.stream)
|
|
print(f8(ct), end=' ', file=self.stream)
|
|
if cc == 0:
|
|
print(' '*8, end=' ', file=self.stream)
|
|
else:
|
|
print(f8(ct/cc), end=' ', file=self.stream)
|
|
print(func_std_string(func), file=self.stream)
|
|
|
|
class TupleComp:
|
|
"""This class provides a generic function for comparing any two tuples.
|
|
Each instance records a list of tuple-indices (from most significant
|
|
to least significant), and sort direction (ascending or descending) for
|
|
each tuple-index. The compare functions can then be used as the function
|
|
argument to the system sort() function when a list of tuples need to be
|
|
sorted in the instances order."""
|
|
|
|
def __init__(self, comp_select_list):
|
|
self.comp_select_list = comp_select_list
|
|
|
|
def compare (self, left, right):
|
|
for index, direction in self.comp_select_list:
|
|
l = left[index]
|
|
r = right[index]
|
|
if l < r:
|
|
return -direction
|
|
if l > r:
|
|
return direction
|
|
return 0
|
|
|
|
|
|
#**************************************************************************
|
|
# func_name is a triple (file:string, line:int, name:string)
|
|
|
|
def func_strip_path(func_name):
|
|
filename, line, name = func_name
|
|
return os.path.basename(filename), line, name
|
|
|
|
def func_get_function_name(func):
|
|
return func[2]
|
|
|
|
def func_std_string(func_name): # match what old profile produced
|
|
if func_name[:2] == ('~', 0):
|
|
# special case for built-in functions
|
|
name = func_name[2]
|
|
if name.startswith('<') and name.endswith('>'):
|
|
return '{%s}' % name[1:-1]
|
|
else:
|
|
return name
|
|
else:
|
|
return "%s:%d(%s)" % func_name
|
|
|
|
#**************************************************************************
|
|
# The following functions combine statistics for pairs functions.
|
|
# The bulk of the processing involves correctly handling "call" lists,
|
|
# such as callers and callees.
|
|
#**************************************************************************
|
|
|
|
def add_func_stats(target, source):
|
|
"""Add together all the stats for two profile entries."""
|
|
cc, nc, tt, ct, callers = source
|
|
t_cc, t_nc, t_tt, t_ct, t_callers = target
|
|
return (cc+t_cc, nc+t_nc, tt+t_tt, ct+t_ct,
|
|
add_callers(t_callers, callers))
|
|
|
|
def add_callers(target, source):
|
|
"""Combine two caller lists in a single list."""
|
|
new_callers = {}
|
|
for func, caller in target.items():
|
|
new_callers[func] = caller
|
|
for func, caller in source.items():
|
|
if func in new_callers:
|
|
if isinstance(caller, tuple):
|
|
# format used by cProfile
|
|
new_callers[func] = tuple(i + j for i, j in zip(caller, new_callers[func]))
|
|
else:
|
|
# format used by profile
|
|
new_callers[func] += caller
|
|
else:
|
|
new_callers[func] = caller
|
|
return new_callers
|
|
|
|
def count_calls(callers):
|
|
"""Sum the caller statistics to get total number of calls received."""
|
|
nc = 0
|
|
for calls in callers.values():
|
|
nc += calls
|
|
return nc
|
|
|
|
#**************************************************************************
|
|
# The following functions support printing of reports
|
|
#**************************************************************************
|
|
|
|
def f8(x):
|
|
return "%8.3f" % x
|
|
|
|
#**************************************************************************
|
|
# Statistics browser added by ESR, April 2001
|
|
#**************************************************************************
|
|
|
|
if __name__ == '__main__':
|
|
import cmd
|
|
try:
|
|
import readline
|
|
except ImportError:
|
|
pass
|
|
|
|
class ProfileBrowser(cmd.Cmd):
|
|
def __init__(self, profile=None):
|
|
cmd.Cmd.__init__(self)
|
|
self.prompt = "% "
|
|
self.stats = None
|
|
self.stream = sys.stdout
|
|
if profile is not None:
|
|
self.do_read(profile)
|
|
|
|
def generic(self, fn, line):
|
|
args = line.split()
|
|
processed = []
|
|
for term in args:
|
|
try:
|
|
processed.append(int(term))
|
|
continue
|
|
except ValueError:
|
|
pass
|
|
try:
|
|
frac = float(term)
|
|
if frac > 1 or frac < 0:
|
|
print("Fraction argument must be in [0, 1]", file=self.stream)
|
|
continue
|
|
processed.append(frac)
|
|
continue
|
|
except ValueError:
|
|
pass
|
|
processed.append(term)
|
|
if self.stats:
|
|
getattr(self.stats, fn)(*processed)
|
|
else:
|
|
print("No statistics object is loaded.", file=self.stream)
|
|
return 0
|
|
def generic_help(self):
|
|
print("Arguments may be:", file=self.stream)
|
|
print("* An integer maximum number of entries to print.", file=self.stream)
|
|
print("* A decimal fractional number between 0 and 1, controlling", file=self.stream)
|
|
print(" what fraction of selected entries to print.", file=self.stream)
|
|
print("* A regular expression; only entries with function names", file=self.stream)
|
|
print(" that match it are printed.", file=self.stream)
|
|
|
|
def do_add(self, line):
|
|
if self.stats:
|
|
try:
|
|
self.stats.add(line)
|
|
except OSError as e:
|
|
print("Failed to load statistics for %s: %s" % (line, e), file=self.stream)
|
|
else:
|
|
print("No statistics object is loaded.", file=self.stream)
|
|
return 0
|
|
def help_add(self):
|
|
print("Add profile info from given file to current statistics object.", file=self.stream)
|
|
|
|
def do_callees(self, line):
|
|
return self.generic('print_callees', line)
|
|
def help_callees(self):
|
|
print("Print callees statistics from the current stat object.", file=self.stream)
|
|
self.generic_help()
|
|
|
|
def do_callers(self, line):
|
|
return self.generic('print_callers', line)
|
|
def help_callers(self):
|
|
print("Print callers statistics from the current stat object.", file=self.stream)
|
|
self.generic_help()
|
|
|
|
def do_EOF(self, line):
|
|
print("", file=self.stream)
|
|
return 1
|
|
def help_EOF(self):
|
|
print("Leave the profile browser.", file=self.stream)
|
|
|
|
def do_quit(self, line):
|
|
return 1
|
|
def help_quit(self):
|
|
print("Leave the profile browser.", file=self.stream)
|
|
|
|
def do_read(self, line):
|
|
if line:
|
|
try:
|
|
self.stats = Stats(line)
|
|
except OSError as err:
|
|
print(err.args[1], file=self.stream)
|
|
return
|
|
except Exception as err:
|
|
print(err.__class__.__name__ + ':', err, file=self.stream)
|
|
return
|
|
self.prompt = line + "% "
|
|
elif len(self.prompt) > 2:
|
|
line = self.prompt[:-2]
|
|
self.do_read(line)
|
|
else:
|
|
print("No statistics object is current -- cannot reload.", file=self.stream)
|
|
return 0
|
|
def help_read(self):
|
|
print("Read in profile data from a specified file.", file=self.stream)
|
|
print("Without argument, reload the current file.", file=self.stream)
|
|
|
|
def do_reverse(self, line):
|
|
if self.stats:
|
|
self.stats.reverse_order()
|
|
else:
|
|
print("No statistics object is loaded.", file=self.stream)
|
|
return 0
|
|
def help_reverse(self):
|
|
print("Reverse the sort order of the profiling report.", file=self.stream)
|
|
|
|
def do_sort(self, line):
|
|
if not self.stats:
|
|
print("No statistics object is loaded.", file=self.stream)
|
|
return
|
|
abbrevs = self.stats.get_sort_arg_defs()
|
|
if line and all((x in abbrevs) for x in line.split()):
|
|
self.stats.sort_stats(*line.split())
|
|
else:
|
|
print("Valid sort keys (unique prefixes are accepted):", file=self.stream)
|
|
for (key, value) in Stats.sort_arg_dict_default.items():
|
|
print("%s -- %s" % (key, value[1]), file=self.stream)
|
|
return 0
|
|
def help_sort(self):
|
|
print("Sort profile data according to specified keys.", file=self.stream)
|
|
print("(Typing `sort' without arguments lists valid keys.)", file=self.stream)
|
|
def complete_sort(self, text, *args):
|
|
return [a for a in Stats.sort_arg_dict_default if a.startswith(text)]
|
|
|
|
def do_stats(self, line):
|
|
return self.generic('print_stats', line)
|
|
def help_stats(self):
|
|
print("Print statistics from the current stat object.", file=self.stream)
|
|
self.generic_help()
|
|
|
|
def do_strip(self, line):
|
|
if self.stats:
|
|
self.stats.strip_dirs()
|
|
else:
|
|
print("No statistics object is loaded.", file=self.stream)
|
|
def help_strip(self):
|
|
print("Strip leading path information from filenames in the report.", file=self.stream)
|
|
|
|
def help_help(self):
|
|
print("Show help for a given command.", file=self.stream)
|
|
|
|
def postcmd(self, stop, line):
|
|
if stop:
|
|
return stop
|
|
return None
|
|
|
|
if len(sys.argv) > 1:
|
|
initprofile = sys.argv[1]
|
|
else:
|
|
initprofile = None
|
|
try:
|
|
browser = ProfileBrowser(initprofile)
|
|
for profile in sys.argv[2:]:
|
|
browser.do_add(profile)
|
|
print("Welcome to the profile statistics browser.", file=browser.stream)
|
|
browser.cmdloop()
|
|
print("Goodbye.", file=browser.stream)
|
|
except KeyboardInterrupt:
|
|
pass
|
|
|
|
# That's all, folks.
|