eapyTool 0.3.7

A Python utility library for math, algebra, data structures, and everyday tools

eapy

A Python utility library that extends the standard library with math, algebra, data structures, and everyday tools.

Features

Math & Algebra

• Vector — Vector2D, Vector3D, and N-dimensional Vector with arithmetic, dot product, magnitude, coordinate conversions
• Matrix — 2D matrix operations (add, subtract, multiply, divide, power) with N×N determinant
• Tensor — 3D tensor with arithmetic, slicing, transpose
• Polynomial — polynomial arithmetic, evaluation (Horner's method), derivative, integral
• Complex — complex number arithmetic, conjugate, phase, polar conversion
• Symbolic Algebra — Var for building symbolic expressions with simplify & evaluate
• InfiniteSet / Interval — set operations on numeric intervals

Trigonometry

• Full set: sin, cos, tan, sec, csc, cot
• Inverse: asin, acos, atan, atan2, asec, acsc, acot
• Hyperbolic: sinh, cosh, tanh, asinh, acosh, atanh
• Versed: versine, vercosine, coversine, covercosine

Combinatorics & Number Theory

• permutation, combination, catalan, stirling2
• gcd, lcm, isPrime, fibonacci, digitsSum
• eulerTotient, primeFactors, modPow

Statistics

• mean, median, variance, std, mode

String Utilities

• Name conversion: toCamelCase, toSnakeCase, toPascalCase
• levenshtein — edit distance between two strings

Functional Programming

• pipe(value, f, g, h) — pipeline: h(g(f(value)))
• compose(f, g, h)(x) — composition: f(g(h(x)))
• curry(func)(a)(b)(c) — currying

Data Structures

• Stack — LIFO stack (push/pop/peek)
• Queue — FIFO queue (enqueue/dequeue)
• Trie — prefix tree (insert/search/words_with_prefix)
• LinkedList — singly linked list (append/prepend/remove/find)
• CircularBuffer — fixed-size circular buffer
• PriorityQueue — min-heap priority queue

Base Conversion

• baseConvert(n, from_base, to_base) — arbitrary base conversion (2-36)
• toBinary, toOctal, toHex — quick conversions

Color Utilities

• rgbToHsl / hslToRgb — RGB ↔ HSL conversion
• rgbToHex / hexToRgb — RGB ↔ HEX conversion

Numerical Methods

• bisect(f, a, b) — bisection root finding
• newtonMethod(f, f', x0) — Newton's method
• numericalIntegral(f, a, b) — Simpson's rule integration

Utility & Decorators

• Timer — simple stopwatch timer
• clamp, lerp, mapRange — numeric helpers
• flatten, chunk, deepGet, uniqueId — data helpers
• @retry, @memoize, @deprecated, @singleton — decorators
• printTable — formatted console table output
• getPath — interactive file/directory picker
• repeatUntilSecond, repeatUntilSecondOrBool, repeatUntilValueChange — loop helpers

Broadcast / Messaging

• whenGetMessage, broadcast, broadcastWithData — simple event system

Threads

• newThread, startThreads, deleteThread — simple thread management

Validation

• isEmail, isURL, isIP — common format validators

Date Utilities

• daysBetween, isLeapYear, weekday — date helpers

Progress Bar

• ProgressBar — simple terminal progress bar

Hash Utilities

• md5, sha256, hashFile — quick hashing

Random Utilities

• randomChoice, shuffle, randomString, randomInt, randomFloat — enhanced random helpers

File I/O

• readJson, writeJson — JSON file helpers
• readCsv, writeCsv — CSV file helpers

Encoding

• base64Encode, base64Decode — Base64 encoding
• urlEncode, urlDecode — URL encoding

Math Extensions

• factorial — factorial
• matrixInverse — matrix inverse (Gauss-Jordan)
• interpolate — linear interpolation

Regex Utilities

• extractEmails, extractURLs — extract from text
• replaceMultiple — multi-pattern replacement

Cache & Performance

• @lruCache(maxsize) — LRU cache decorator
• @timeit — execution time decorator

Progress Iterator

• tqdm(iterable) — progress bar iterator

Type Checks

• isNumber, isString, isList, isDict, isCallable — type check helpers

Network Utilities

• getJson(url) — GET request returning JSON
• postJson(url, data) — POST request with JSON body

Math Extensions (Vector)

• dotProduct, crossProduct, normalize — vector operations

Local Storage

• Storage — persistent key-value store with subpath support

Colored Text

• Color — ANSI color codes (foreground, background, styles)
• colorText(text, color, style, bg) — return colored text string
• printColor(text, color, style, bg) — print colored text

Logging

• Logger — simple logger (console + file)
• @logTime — log function calls with timing

Config Management

• Config — JSON-based config with dot notation support

Validation (Extended)

• isPhoneNumber — Chinese phone number validation
• isDate — date format validation
• isHexColor — hex color validation

File Utilities

• listFiles(dir, ext) — list files by extension
• fileSize(path) — human-readable file size
• ensureDir(path) — create directory if not exists

CLI Interaction

• confirm(prompt) — yes/no confirmation
• askInput(prompt, default) — input with default
• selectOption(prompt, options) — selection menu

Encryption

• encrypt(text, key) / decrypt(text, key) — simple XOR encryption

Time Utilities

• formatDuration(seconds) — human-readable duration
• timestamp() — current Unix timestamp
• parseDate(str, fmt) — parse date string

Text Processing

• slugify(text) — URL-friendly slug generation
• wordCount(text) — character/word/line/sentence counting
• truncate(text, length) — text truncation with ellipsis

Pagination

• Paginate(items, page, per_page) — pagination helper

System Utilities

• clipboard(text) — copy to clipboard (Windows)
• systemInfo() — system information

Cache (Extended)

• @ttlCache(seconds) — cache with time-to-live expiration

Math (Advanced)

• rk4(func, y0, t, dt, steps) — 4th-order Runge-Kutta ODE solver
• fft(signal) — Fast Fourier Transform (radix-2)
• matrixEigenvalues(m) — eigenvalue approximation (QR algorithm)

Data Structures (Extended)

• Deque — double-ended queue

Template Engine

• render(template, variables) — simple {{key}} variable substitution

Rate Limiting

• @rateLimit(max_calls, period) — call frequency limiter

Data Structures (Extended)

• BloomFilter — probabilistic set membership testing

Decorators (Extended)

• @exponentialBackoff — retry with exponential backoff
• @validateTypes — runtime argument type validation

CLI (Extended)

• Spinner — terminal loading spinner
• clearScreen() — clear terminal screen

Math (Extended)

• sieveOfEratosthenes(n) — prime sieve
• binomialCoeff(n, k) — binomial coefficient
• matrixTranspose(m) — matrix transpose
• matrixDet(m) — matrix determinant

Graph

• Graph — graph with BFS, DFS, Dijkstra shortest path

Math (Extended 3)

• matrixMultiply(a, b) — matrix multiplication
• solveLinearSystem(A, b) — solve Ax = b
• matrixRank(m) — matrix rank

Data Structures (Extended 4)

• SkipList — skip list with O(log n) operations
• NamedStack — stack with a name

Utility (Extended)

• uuid() — generate UUID4
• humanize(n) — human-readable numbers (1000 → "1K")
• unitConvert(value, from, to) — unit conversion

Statistics (Extended)

• normalDistribution(x, mu, sigma) — normal distribution PDF
• randomNormal(mu, sigma) — normal distribution random
• correlation(x, y) — Pearson correlation

Scheduler

• Scheduler — simple task scheduler (periodic execution)

Tree Visualization

• printTree(data) — print tree structure from nested dicts

Installation

pip install eapyTool

Quick Start

from eapy.core import Var, Polynomial, Vector3D, mean

# Symbolic algebra
x = Var('x')
expr = (x + 2) * (x + 3)
print(expr.evaluate(x=5))  # 56.0

# Polynomial
p = Polynomial([1, -3, 2])  # 1 - 3x + 2x^2
print(p.derivative())        # -3 + 4*x
print(p(10))                 # 171.0

# Vector
v = Vector3D(1, 2, 3)
print(v.abs())               # 3.7416...

# Statistics
print(mean([4, 8, 15, 16, 23, 42]))  # 18.0

Development

# install with dev dependencies
pip install -e ".[dev]"

# run tests
pytest

# lint
ruff check src tests
ruff format --check src tests

License

MPL-2.0