Natural language math expression calculator
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Project description
nl-clicalc
CLI calculator accepting natural language and unit conversion. Standard library only.
For install as a CLI tool, clone the repo, cd into it, and run the install.py script. It will combine everything into one file and add it to your $path. Then you can run it like calc 2 meters plus 2ft. It ignores spacing and relies on spliting the input by operator.
Basic things work well, but some functionality is lightly tested. There might be edge cases with syntax parsing or conversion I haven't hit yet, though error handling is good. It can be chained into another script and used in webapps. It's passed all tests and it should be handling unexpected inputs well, but I have not tried this in a real environment.
Features
- Natural Language Input: Write math expressions in plain English
- Unit Conversions: Seamlessly convert between metric and imperial units
- Scientific Functions: Support for trigonometric, logarithmic, and other mathematical functions
- Physical Constants: Built-in scientific constants (Avogadro, Planck, Boltzmann, etc.)
- Safe Evaluation: Uses AST-based parsing instead of
eval()for security - Pure Python: No external dependencies - uses only the standard library
- Webapp Ready: Thread-safe with caching, async support, and optimized performance
Installation
pip install -e .
Or run directly:
python -m nl_clicalc "five plus two"
Usage
Command Line
# Basic arithmetic
calc "five plus two"
# Output: 5+2 -> 7
# Complex expressions
calc "(twenty + five) * 3"
# Output: (20+5)*3 -> 75
# Unit conversions
calc "30m + 100ft"
# Output: 30*m+100*ft -> 60.48 m
calc "(30m + 100ft) / 2"
# Output: (30*m+100*ft)/2 -> 30.24 m
# Trigonometric functions
calc "sin of 3.14159"
# Output: math.sin(3.14159) -> 2.65e-06
# Physical constants
calc "5 times avogadro"
# Output: 5*na -> 3.01e+24
# Piping (quiet mode by default with -e)
echo "5 + 3" | calc -e
# Output: 8
# Interactive REPL mode
calc -i
# >>> five plus two
# 5+2 -> 7
# >>> quit
CLI Options
| Option | Description |
|---|---|
-h, --help |
Show help and available operators |
-v, --version |
Show version information |
-e, --expression |
Evaluate a single expression (quiet mode by default) |
-q, --quiet |
Suppress expression in output |
-s, --show |
Show expression in output (useful with -e) |
--json |
Output result as JSON |
-i, --interactive |
Start interactive REPL mode |
As a Python Module
from nl_clicalc import evaluate_raw, evaluate
# Basic math (use evaluate_raw for expressions with spaces/natural language)
result = evaluate_raw("5 + 3")
print(result) # 8
# Natural language support
result = evaluate_raw("five plus three")
print(result) # 8
# Unit conversions
result = evaluate_raw("30m + 100ft")
print(result) # 60.48 m
# Use evaluate() for pre-normalized expressions (no spaces)
result = evaluate("5+3") # Must have no spaces
print(result) # 8
Webapp Usage (Optimized for Long-Running Applications)
from nl_clicalc import PyCalcApp
# Create app instance with caching (recommended for webapps)
app = PyCalcApp(cache_size=1000)
# Calculate (uses cache automatically)
result = app.calculate("5 + 3") # 8
result = app.calculate("five plus two") # 7
result = app.calculate("30m + 100ft") # 60.48 m
# Async support for async web frameworks (FastAPI, aiohttp, etc.)
result = await app.calculate_async("5 + 3")
# Custom constants and functions
app.register_constant("myconst", 42)
result = app.calculate("myconst + 8") # 50
# Cache management
print(app.cache_size) # 3
app.clear_cache()
Full API Reference
from nl_clicalc import (
# Core evaluation
evaluate, # Pre-normalized expressions (no spaces)
evaluate_raw, # Full pipeline with natural language support
evaluate_cached, # Like evaluate_raw, with LRU cache (1024 entries)
evaluate_async, # Async version of evaluate_raw
# Configuration
register_constant, # Add custom constants (thread-safe)
register_function, # Add custom functions (thread-safe)
load_user_config, # Load config from nl_clicalc_config.py
# Webapp wrapper
PyCalcApp, # Thread-safe wrapper with caching
# Types
EvaluationError, # Exception type
UnitValue, # For unit-aware results
)
# Cached evaluation (great for repeated queries with natural language)
result = evaluate_cached("5 + 3")
result = evaluate_cached("five plus three")
# Async evaluation
import asyncio
result = await evaluate_async("5 + 3")
# Register custom constants globally
register_constant("pi_approx", 3.14)
register_constant("earth_radius", 6371)
# Register custom functions
def my_func(x, y):
return x ** 2 + y ** 2
register_function("mysquare", my_func)
result = evaluate_raw("mysquare(3, 4)") # 25
Performance
For webapps requiring high throughput:
| Method | Input Type | Performance |
|---|---|---|
evaluate() |
Pre-normalized (e.g., 5+3) |
Fastest, ~29 μs/eval |
evaluate_raw() |
Natural language, spaces | Full pipeline, ~50 μs/eval |
evaluate_cached() |
Natural language, with cache | O(1) after first call |
PyCalcApp.calculate() |
Natural language, auto-caching | O(1) after first call |
PyCalcApp.calculate_async() |
Async, non-blocking | For async frameworks |
The library includes optimizations:
- Pre-computed unit lookups
- LRU caching for parsed expressions
- Combined regex patterns for normalization
- Thread-safe constant/function registration
API Reference
Core Functions
evaluate(expression: str) -> Any
Evaluate a pre-normalized expression (no spaces, no natural language). Use this for maximum performance when you control the input format.
from nl_clicalc import evaluate
result = evaluate("5+3") # 8 (note: no spaces)
evaluate_raw(expression: str) -> Any
Evaluate a raw expression with spaces and/or natural language. This is the main function for user input.
from nl_clicalc import evaluate_raw
result = evaluate_raw("5 + 3") # 8
result = evaluate_raw("five plus 3") # 8
evaluate_cached(expression: str) -> Any
Like evaluate_raw() but with LRU caching. Best for repeated identical expressions.
from nl_clicalc import evaluate_cached
result = evaluate_cached("5 + 3") # Cached after first call
evaluate_async(expression: str) -> Awaitable[Any]
Async version of evaluate_raw(). For async web frameworks.
from nl_clicalc import evaluate_async
result = await evaluate_async("5 + 3")
evaluate_with_timeout(expression: str, timeout: float = 5.0) -> Any
Evaluate with timeout protection. Recommended for untrusted input.
from nl_clicalc import evaluate_with_timeout, TimeoutError
try:
result = evaluate_with_timeout("2 ** 1000000", timeout=1.0)
except TimeoutError:
print("Evaluation timed out")
PyCalcApp Class
Thread-safe wrapper optimized for webapps with caching and instance isolation.
from nl_clicalc import PyCalcApp
app = PyCalcApp(cache_size=1000) # LRU cache with 1000 entries
# Evaluate expressions
result = app.calculate("5 + 3")
# Async support
result = await app.calculate_async("5 + 3")
# Register instance-specific constants/functions
app.register_constant("myconst", 42)
app.register_function("double", lambda x: x * 2)
# Cache management
app.clear_cache()
print(app.cache_size)
Configuration Functions
register_constant(name: str, value: float) -> None
Register a custom constant globally. Thread-safe.
from nl_clicalc import register_constant
register_constant("earth_radius", 6371)
result = evaluate_raw("earth_radius") # 6371
register_function(name: str, func: Callable) -> None
Register a custom function globally. Thread-safe. Only call during initialization.
from nl_clicalc import register_function
register_function("square", lambda x: x ** 2)
result = evaluate_raw("square(5)") # 25
Exceptions
EvaluationError
Raised when an expression is invalid or contains unsupported operations.
from nl_clicalc import evaluate_raw, EvaluationError
try:
result = evaluate_raw("import os")
except EvaluationError as e:
print(f"Error: {e}")
TimeoutError
Raised when evaluation exceeds the timeout in evaluate_with_timeout().
from nl_clicalc import evaluate_with_timeout, TimeoutError
try:
result = evaluate_with_timeout("slow_expression", timeout=1.0)
except TimeoutError:
print("Timed out")
Types
UnitValue
Represents a numeric value with optional units.
from nl_clicalc import UnitValue
uv = UnitValue(5, "m")
print(uv) # "5 m"
print(uv.value) # 5.0
print(uv.unit) # "m"
Utility Functions
normalize_unit(unit: str) -> str
Normalize a unit to its canonical form.
from nl_clicalc import normalize_unit
normalize_unit("meters") # "m"
normalize_unit("ft") # "ft"
get_conversion_factor(from_unit: str, to_unit: str) -> float
Get conversion factor between two units.
from nl_clicalc import get_conversion_factor
get_conversion_factor("ft", "m") # 0.3048
get_all_units() -> list[str]
Get list of all supported units.
from nl_clicalc import get_all_units
units = get_all_units() # ['A', 'B', 'BTU', 'C', 'F', 'GB', ...]
is_unit(text: str) -> bool
Check if text represents a unit.
from nl_clicalc import is_unit
is_unit("m") # True
is_unit("xyz") # False
Supported Operations
Arithmetic
+, -, *, /, **
Number Words
- 0-9: zero, one, two, three, four, five, six, seven, eight, nine
- Teens: ten, eleven, twelve... nineteen
- Tens: twenty, thirty, forty... ninety
- Scales: hundred, thousand, million, billion, trillion
Functions
- Trig:
sin,cos,tan,asin,acos,atan,atan2 - Hyperbolic:
sinh,cosh,tanh,asinh,acosh,atanh - Math:
sqrt,cbrt,log,log10,log2,log1p,exp,abs,floor,ceil,trunc,round,sign - Factorial & Combinatorics:
factorial,gcd,lcm,perm,comb,nPr,nCr - Complex:
real,imag,conj,phase,polar,rect - Bitwise:
bitand,bitor,bitxor,bitnot,bin,hex,oct - Statistics:
mean,median,mode,std,variance,sum,max,min - Prime:
isprime,primefactors,nextprime,prevprime - Random:
random,randint,uniform,randn,gauss,seed - Memory:
store,recall,Mplus,Mminus,MR,MC - Variables:
setvar,getvar,delvar,listvars,clearvars - Utility:
clamp,hypot,percentof,aspercent - Temperature:
temp
Bitwise Operators
& (AND), | (OR), ^ (XOR), ~ (NOT), << (left shift), >> (right shift)
Base Prefixes
0x (hex), 0b (binary), 0o (octal)
Complex Numbers
i or j for imaginary unit, e.g., 3+4i, 5j
Percentage
% suffix, e.g., 50% = 0.5
Units
Length
meters (m), kilometers (km), centimeters (cm), millimeters (mm), micrometers (μm), nanometers (nm), picometers (pm), inches (in), feet (ft), yards (yd), miles (mi), lightyears (ly), astronomical units (au), parsecs (pc), angstroms, fermis
Time
seconds (s), milliseconds (ms), microseconds (μs), nanoseconds (ns), picoseconds (ps), minutes (min), hours (h), days (d), weeks (wk), years (yr)
Data
bytes (B), kilobytes (KB), megabytes (MB), gigabytes (GB), terabytes (TB), petabytes (PB)
Mass
kilograms (kg), grams (g), milligrams (mg), micrograms (μg), nanograms (ng), pounds (lb), ounces (oz), tons
Volume
liters (L), milliliters (mL), gallons (gal), quarts (qt), pints (pt), cups
Pressure
Pascals (Pa), kilopascals (kPa), bar, atmospheres (atm), psi
Energy
Joules (J), kilojoules (kJ), calories (cal), kilocalories (kcal), watt-hours (Wh), kilowatt-hours (kWh), BTU, electronvolts (eV)
Power
Watts (W), kilowatts (kW), megawatts (MW), gigawatts (GW), horsepower (hp)
Constants
- Mathematical: pi, e, tau, i (imaginary unit)
- Physical: avogadro, gas constant, planck, boltzmann, speed of light (c), echarge (elementary charge), faraday, atomic mass unit (amu), vacuum permittivity
Advanced Features
Complex Numbers
Support for complex number arithmetic using i or j notation:
from nl_clicalc import evaluate_raw
# Complex literals
evaluate_raw("3 + 4i") # (3+4j)
evaluate_raw("(3+4j)") # (3+4j)
# Complex functions
evaluate_raw("sqrt(-1)") # 1j
evaluate_raw("log(-1)") # 3.14159265j (πi)
evaluate_raw("abs(3+4i)") # 5.0
evaluate_raw("conj(3+4i)") # (3-4j)
evaluate_raw("real(3+4j)") # 3.0
evaluate_raw("imag(3+4j)") # 4.0
# Euler's identity
evaluate_raw("e^(i*pi)") # (-1+0j)
Bitwise Operations
Full support for bitwise operations:
from nl_clicalc import evaluate_raw
# Bitwise operators
evaluate_raw("5 AND 3") # 1 (0b101 & 0b011)
evaluate_raw("5 OR 3") # 7 (0b101 | 0b011)
evaluate_raw("5 XOR 3") # 6 (0b101 ^ 0b011)
evaluate_raw("~5") # -6 (bitwise NOT)
evaluate_raw("5 << 2") # 20 (left shift)
evaluate_raw("5 >> 1") # 2 (right shift)
# Base prefixes
evaluate_raw("0xFF") # 255 (hexadecimal)
evaluate_raw("0b1010") # 10 (binary)
evaluate_raw("0o777") # 511 (octal)
# Base conversion functions
evaluate_raw("hex(255)") # '0xff'
evaluate_raw("bin(10)") # '0b1010'
evaluate_raw("oct(511)") # '0o777'
Combinatorics
Permutations and combinations:
from nl_clicalc import evaluate_raw
# Permutations P(n,r) = n!/(n-r)!
evaluate_raw("perm(5, 3)") # 60
evaluate_raw("nPr(5, 3)") # 60 (alias)
# Combinations C(n,r) = n!/(r!(n-r)!)
evaluate_raw("comb(5, 3)") # 10
evaluate_raw("nCr(5, 3)") # 10 (alias)
# LCM and GCD
evaluate_raw("lcm(12, 18)") # 36
evaluate_raw("lcm(12, 18, 24)") # 72
evaluate_raw("gcd(12, 18)") # 6
Prime Functions
Prime number utilities:
from nl_clicalc import evaluate_raw
# Check if prime
evaluate_raw("isprime(17)") # True
evaluate_raw("isprime(18)") # False
# Prime factorization
evaluate_raw("primefactors(84)") # "2^2 × 3 × 7"
# Find nearby primes
evaluate_raw("nextprime(17)") # 19
evaluate_raw("prevprime(20)") # 19
Statistical Functions
Extended statistical operations:
from nl_clicalc import evaluate_raw
# Basic statistics
evaluate_raw("mean(1, 2, 3, 4, 5)") # 3.0
evaluate_raw("median(1, 2, 3, 4, 5)") # 3
evaluate_raw("median(1, 2, 3, 4)") # 2.5
evaluate_raw("mode(1, 2, 2, 3)") # 2
evaluate_raw("variance(1, 2, 3, 4, 5)") # 2.0
evaluate_raw("std(1, 2, 3, 4, 5)") # 1.414...
# Aggregate functions
evaluate_raw("sum(1, 2, 3, 4, 5)") # 15
evaluate_raw("min(3, 1, 4, 1, 5)") # 1
evaluate_raw("max(3, 1, 4, 1, 5)") # 5
Random Functions
Random number generation with seeding:
from nl_clicalc import evaluate_raw
# Seed for reproducibility
evaluate_raw("seed(42)")
# Random numbers
evaluate_raw("random()") # 0.0-1.0
evaluate_raw("randint(1, 100)") # Integer 1-100
evaluate_raw("uniform(0, 10)") # Float 0-10
# Normal distribution
evaluate_raw("randn()") # Standard normal (μ=0, σ=1)
evaluate_raw("gauss(100, 15)") # Normal (μ=100, σ=15)
Percentage
Percentage calculations:
from nl_clicalc import evaluate_raw
# Percentage literals
evaluate_raw("50%") # 0.5
evaluate_raw("25%") # 0.25
# Percentage functions
evaluate_raw("percentof(20, 100)") # 20.0 (20% of 100)
evaluate_raw("aspercent(25, 100)") # 25.0 (25 as % of 100)
Memory Registers
Calculator-style memory operations:
from nl_clicalc import evaluate_raw
# Store and recall
evaluate_raw("store(42)") # Store 42 in memory
evaluate_raw("recall()") # 42
evaluate_raw("MR") # 42 (alias)
# Memory add/subtract
evaluate_raw("Mplus(8)") # 50 (adds 8 to memory)
evaluate_raw("Mminus(5)") # 45 (subtracts 5)
# Clear memory
evaluate_raw("MC") # Clears memory
Variables
User-defined variables:
from nl_clicalc import evaluate_raw
# Set and use variables
evaluate_raw('setvar("x", 10)') # 10
evaluate_raw("x + 5") # 15
evaluate_raw('setvar("y", 20)') # 20
evaluate_raw("x * y") # 200
# Variable management
evaluate_raw("getvar('x')") # 10
evaluate_raw("listvars()") # {'x': 10, 'y': 20}
evaluate_raw("delvar('x')") # Deletes x
evaluate_raw("clearvars()") # Deletes all variables
Utility Functions
from nl_clicalc import evaluate_raw
# Rounding and signs
evaluate_raw("round(3.14159, 2)") # 3.14
evaluate_raw("sign(-5)") # -1
evaluate_raw("sign(5)") # 1
# Clamping
evaluate_raw("clamp(15, 0, 10)") # 10
evaluate_raw("clamp(-5, 0, 10)") # 0
# Hypotenuse
evaluate_raw("hypot(3, 4)") # 5.0
Custom Configuration
Create a clicalc_config.py file to add custom constants, functions, and units:
# clicalc_config.py
# Custom constants
CUSTOM_CONSTANTS = {
"myconst": 42,
"earth_radius_km": 6371,
}
# Custom functions
CUSTOM_FUNCTIONS = {
"mysquare": lambda x, y: x**2 + y**2,
}
# Custom units (add to existing category or create new)
CUSTOM_UNITS = {
"m": {
"nm": 1e-9, # nanometers (already exists, but shows pattern)
},
}
# Custom unit aliases
CUSTOM_ALIASES = {
"meter": "m",
"meters": "m",
}
# Custom temperature conversions
CUSTOM_TEMP_CONVERSIONS = {
("C", "R"): (1.0, 491.67), # Celsius to Rankine
}
# Custom number words
CUSTOM_NUMBER_WORDS = {
"1000000000000000": ["quadrillion"],
}
# Custom operator words
CUSTOM_OPERATOR_WORDS = {
"+": ["plus", "add"],
}
Development
Running Tests
pip install pytest
pytest tests/
Project Structure
nl-clicalc/
├── nl-clicalc/
│ ├── __init__.py # Package init
│ ├── __main__.py # CLI entry point
│ ├── units.py # Unit definitions and conversions
│ ├── evaluator.py # AST-based expression evaluator
│ └── normalize.py # Main parsing and normalization
├── tests/
│ ├── test_nl_clicalc.py # Test suite
│ └── test_security_fuzz.py # Security fuzz tests
├── pyproject.toml # Package configuration
└── README.md # This file
Security
nl-clicalc uses AST-based parsing instead of eval(), which provides:
- No arbitrary code execution
- Controlled function access
- Safe constant evaluation
- No access to system resources
Input Limits
Built-in protections against DoS attacks:
| Constant | Default | Description |
|---|---|---|
MAX_INPUT_LENGTH |
10,000 | Maximum input character length |
MAX_NESTING_DEPTH |
100 | Maximum parentheses nesting depth |
MAX_EXPONENT |
10,000 | Maximum exponent value |
MAX_FACTORIAL |
1,000 | Maximum factorial input |
MAX_RESULT_VALUE |
1e308 | Maximum result value |
DEFAULT_CACHE_SIZE |
1,024 | LRU cache size |
These can be imported and modified:
from nl_clicalc import MAX_INPUT_LENGTH, MAX_NESTING_DEPTH, MAX_EXPONENT
# Increase limits (use with caution for security)
MAX_EXPONENT = 100000
Security Considerations for Webapps
Safe for untrusted input:
evaluate(),evaluate_raw(),evaluate_cached(),evaluate_async()PyCalcApp.calculate(),PyCalcApp.calculate_async()
Register with caution:
register_function()- Only register during initialization, never from user inputregister_constant()- Safe to use, values are validated
Config file warning:
clicalc_config.pyis imported from the working directory- For production, ensure this file is not user-writable
- Consider removing config loading in high-security environments
Example: Secure Webapp Usage
from nl_clicalc import PyCalcApp, EvaluationError
app = PyCalcApp(cache_size=1000)
def handle_user_input(expression: str) -> dict:
"""Safely evaluate user-provided expression."""
try:
result = app.calculate(expression)
return {"success": True, "result": str(result)}
except EvaluationError as e:
return {"success": False, "error": str(e)}
License
MIT License
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