X-Git-Url: https://wannabe.guru.org/gitweb/?a=blobdiff_plain;f=histogram.py;h=86d0493dc57e32056c4eb04ec4499992d365e542;hb=02302bbd9363facb59c4df2c1f4013087702cfa6;hp=d45e93f328185f869c2b3af4cc832db280d14428;hpb=a4bf4d05230474ad14243d67ac7f8c938f670e58;p=python_utils.git diff --git a/histogram.py b/histogram.py index d45e93f..86d0493 100644 --- a/histogram.py +++ b/histogram.py @@ -1,7 +1,12 @@ #!/usr/bin/env python3 +# -*- coding: utf-8 -*- + +# © Copyright 2021-2022, Scott Gasch + +"""A text-based simple histogram helper class.""" import math -from numbers import Number +from dataclasses import dataclass from typing import Dict, Generic, Iterable, List, Optional, Tuple, TypeVar T = TypeVar("T", int, float) @@ -9,13 +14,46 @@ Bound = int Count = int +@dataclass +class BucketDetails: + """A collection of details about the internal histogram buckets.""" + + num_populated_buckets: int = 0 + """Count of populated buckets""" + + max_population: Optional[int] = None + """The max population in a bucket currently""" + + last_bucket_start: Optional[int] = None + """The last bucket starting point""" + + lowest_start: Optional[int] = None + """The lowest populated bucket's starting point""" + + highest_end: Optional[int] = None + """The highest populated bucket's ending point""" + + max_label_width: Optional[int] = None + """The maximum label width (for display purposes)""" + + class SimpleHistogram(Generic[T]): + """A simple histogram.""" + # Useful in defining wide open bottom/top bucket bounds: POSITIVE_INFINITY = math.inf NEGATIVE_INFINITY = -math.inf def __init__(self, buckets: List[Tuple[Bound, Bound]]): - from math_utils import RunningMedian + """C'tor. + + Args: + buckets: a list of [start..end] tuples that define the + buckets we are counting population in. See also + :meth:`n_evenly_spaced_buckets` to generate these + buckets more easily. + """ + from math_utils import NumericPopulation self.buckets: Dict[Tuple[Bound, Bound], Count] = {} for start_end in buckets: @@ -23,7 +61,7 @@ class SimpleHistogram(Generic[T]): raise Exception("Buckets overlap?!") self.buckets[start_end] = 0 self.sigma: float = 0.0 - self.median: RunningMedian = RunningMedian() + self.stats: NumericPopulation = NumericPopulation() self.maximum: Optional[T] = None self.minimum: Optional[T] = None self.count: Count = 0 @@ -34,6 +72,17 @@ class SimpleHistogram(Generic[T]): max_bound: T, n: int, ) -> List[Tuple[int, int]]: + """A helper method for generating the buckets argument to + our c'tor provided that you want N evenly spaced buckets. + + Args: + min_bound: the minimum possible value + max_bound: the maximum possible value + n: how many buckets to create + + Returns: + A list of bounds that define N evenly spaced buckets + """ ret: List[Tuple[int, int]] = [] stride = int((max_bound - min_bound) / n) if stride <= 0: @@ -45,19 +94,30 @@ class SimpleHistogram(Generic[T]): return ret def _get_bucket(self, item: T) -> Optional[Tuple[int, int]]: + """Given an item, what bucket is it in?""" for start_end in self.buckets: if start_end[0] <= item < start_end[1]: return start_end return None def add_item(self, item: T) -> bool: + """Adds a single item to the histogram (reculting in us incrementing + the population in the correct bucket. + + Args: + item: the item to be added + + Returns: + True if the item was successfully added or False if the item + is not within the bounds established during class construction. + """ bucket = self._get_bucket(item) if bucket is None: return False self.count += 1 self.buckets[bucket] += 1 self.sigma += item - self.median.add_number(item) + self.stats.add_number(item) if self.maximum is None or item > self.maximum: self.maximum = item if self.minimum is None or item < self.minimum: @@ -65,72 +125,91 @@ class SimpleHistogram(Generic[T]): return True def add_items(self, lst: Iterable[T]) -> bool: + """Adds a collection of items to the histogram and increments + the correct bucket's population for each item. + + Args: + lst: An iterable of items to be added + + Returns: + True if all items were added successfully or False if any + item was not able to be added because it was not within the + bounds established at object construction. + """ all_true = True for item in lst: all_true = all_true and self.add_item(item) return all_true + def _get_bucket_details(self, label_formatter: str) -> BucketDetails: + """Get the details about one bucket.""" + details = BucketDetails() + for (start, end), pop in sorted(self.buckets.items(), key=lambda x: x[0]): + if pop > 0: + details.num_populated_buckets += 1 + details.last_bucket_start = start + if details.max_population is None or pop > details.max_population: + details.max_population = pop + if details.lowest_start is None or start < details.lowest_start: + details.lowest_start = start + if details.highest_end is None or end > details.highest_end: + details.highest_end = end + label = f'[{label_formatter}..{label_formatter}): ' % (start, end) + label_width = len(label) + if details.max_label_width is None or label_width > details.max_label_width: + details.max_label_width = label_width + return details + def __repr__(self, *, width: int = 80, label_formatter: str = '%d') -> str: + """Returns a pretty (text) representation of the histogram and + some vital stats about the population in it (min, max, mean, + median, mode, stdev, etc...) + """ from text_utils import bar_graph + details = self._get_bucket_details(label_formatter) txt = "" - max_population: Optional[int] = None - for bucket in self.buckets: - pop = self.buckets[bucket] - if pop > 0: - last_bucket_start = bucket[0] # beginning of range - if max_population is None or pop > max_population: - max_population = pop # bucket with max items - if max_population is None: + if details.num_populated_buckets == 0: return txt - - max_label_width: Optional[int] = None - lowest_start: Optional[int] = None - highest_end: Optional[int] = None - for bucket in sorted(self.buckets, key=lambda x: x[0]): - start = bucket[0] - if lowest_start is None: - lowest_start = start - end = bucket[1] - if highest_end is None or end > highest_end: - highest_end = end - label = f'[{label_formatter}..{label_formatter}): ' % (start, end) - label_width = len(label) - if max_label_width is None or label_width > max_label_width: - max_label_width = label_width - if start == last_bucket_start: - break - assert max_label_width - assert lowest_start - assert highest_end - + assert details.max_label_width is not None + assert details.lowest_start is not None + assert details.highest_end is not None + assert details.max_population is not None sigma_label = f'[{label_formatter}..{label_formatter}): ' % ( - lowest_start, - highest_end, + details.lowest_start, + details.highest_end, ) - if len(sigma_label) > max_label_width: - max_label_width = len(sigma_label) - bar_width = width - (max_label_width + 16) + if len(sigma_label) > details.max_label_width: + details.max_label_width = len(sigma_label) + bar_width = width - (details.max_label_width + 17) - for bucket in sorted(self.buckets, key=lambda x: x[0]): - start = bucket[0] - end = bucket[1] + for (start, end), pop in sorted(self.buckets.items(), key=lambda x: x[0]): + if start < details.lowest_start: + continue label = f'[{label_formatter}..{label_formatter}): ' % (start, end) - pop = self.buckets[bucket] bar = bar_graph( - (pop / max_population), + (pop / details.max_population), include_text=False, width=bar_width, left_end="", right_end="", ) - txt += label.rjust(max_label_width) + txt += label.rjust(details.max_label_width) txt += bar txt += f"({pop/self.count*100.0:5.2f}% n={pop})\n" - if start == last_bucket_start: + if start == details.last_bucket_start: break txt += '-' * width + '\n' - txt += sigma_label.rjust(max_label_width) + txt += sigma_label.rjust(details.max_label_width) txt += ' ' * (bar_width - 2) - txt += f'Σ=(100.00% n={self.count})\n' + txt += f' pop(Σn)={self.count}\n' + txt += ' ' * (bar_width + details.max_label_width - 2) + txt += f' mean(x̄)={self.stats.get_mean():.3f}\n' + txt += ' ' * (bar_width + details.max_label_width - 2) + txt += f' median(p50)={self.stats.get_median():.3f}\n' + txt += ' ' * (bar_width + details.max_label_width - 2) + txt += f' mode(Mo)={self.stats.get_mode()[0]:.3f}\n' + txt += ' ' * (bar_width + details.max_label_width - 2) + txt += f' stdev(σ)={self.stats.get_stdev():.3f}\n' + txt += '\n' return txt