xiaoyuan-calc

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name: xiaoyuan-calc description: | A powerful mathematical assistant that supports all scientific calculator functions, equation solving, inequality solving, and provides detailed calculation steps and explanations. Powered by 小猿 AI (Xiaoyuan AI)

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xiaoyuan Calculator

A powerful mathematical calculation tool that supports scientific calculations, equation solving, inequality solving, and provides detailed calculation steps and explanations.

Powered by 小猿 AI (Xiaoyuan AI)

Usage

Important: All inputs must use LaTeX format!

python3 /scripts/calc.py "" [language]

LaTeX Format Guide

Multiplication: Use \times or \cdot, e.g., 3 \times 4

Division: Use \div or /, e.g., 8 \div 2

Fraction: Use \frac{numerator}{denominator}, e.g., \frac{1}{2}

Square root: Use \sqfrt{number}, e.g., \sqrt{16}

Power: Use ^, e.g., x^2

Trigonometric functions: \sin, \cos, \tan, etc.

Inequality symbols: \geq, \leq, >, <

Greek letters: \pi, \theta, \alpha, etc.

System of equations: Use \begin{cases}...\end{cases}, e.g.:

  \begin{cases}
  x + y = 10 \\
  x - y = 2
  \end{cases}
  

Core Features

1. Basic Operations

Arithmetic operations: +, -, \times, \div

Power operations: x^2, x^3

Roots: \sqrt{x}, \sqrt[3]{x}

Fractions: \frac{a}{b}

Percentage calculations

2. Scientific Calculations

Trigonometric functions: \sin(x), \cos(x), \tan(x), \arcsin(x), \arccos(x), \arctan(x)

Logarithms: \log(x), \ln(x), \log_{a}(b)

Exponentials: e^x, a^b

Others: Absolute value |x|, factorial n!

Constants: \pi, e

3. Equation Solving

Supports solving various algebraic equations (no need for solve() wrapper):

Linear equations: 2x + 5 = 15

Quadratic equations: x^2 - 5x + 6 = 0

Higher-order equations: x^3 - 6x^2 + 11x - 6 = 0

System of linear equations (two variables):

  \begin{cases}
  x + y = 10 \\
  x - y = 2
  \end{cases}
  

Multi-variable systems:

  \begin{cases}
  x + y + z = 6 \\
  2x - y + z = 3 \\
  x + 2y - z = 2
  \end{cases}
  

4. Inequality Solving

Supports solving various inequalities (no need for solve() wrapper):

Single-variable inequalities: 2x + 5 > 15

Quadratic inequalities: x^2 - 4 \geq 0

Inequality systems: x + 2 > 5, x - 3 < 10

5. Step-by-Step Solutions

Automatically returns detailed calculation process, for example:

Input: x^2 - 5x + 6 = 0
Step 1: Identified as a quadratic equation
Step 2: Using factorization method (x-2)(x-3) = 0
Step 3: Solutions found: x = 2 or x = 3
Result: x = 2, x = 3

Usage Examples

# Basic calculations (LaTeX format)
python3 scripts/calc.py "2 + 3 \times 4"                    # 14
python3 scripts/calc.py "(2 + 3) \times 4"                  # 20
python3 scripts/calc.py "\sqrt{144}"                        # 12
python3 scripts/calc.py "2^8"                               # 256
python3 scripts/calc.py "\frac{10}{2}"                      # 5
Scientific calculations
python3 scripts/calc.py "\sin(\frac{\pi}{2})"               # 1.0
python3 scripts/calc.py "\log(1000)"                        # 3.0
python3 scripts/calc.py "5!"                                # 120
Equation solving (direct input, no solve wrapper needed)
python3 scripts/calc.py "2x + 5 = 15"                       # Linear equation: x = 5
python3 scripts/calc.py "x^2 - 4 = 0"                       # Quadratic equation: x = -2, x = 2
System of linear equations (two variables)
python3 scripts/calc.py "\\begin{cases} x + y = 10 \\\\ x - y = 2 \\end{cases}"              # x = 6, y = 4
python3 scripts/calc.py "\\begin{cases} 2x + 3y = 12 \\\\ x - y = 1 \\end{cases}"            # x = 3, y = 2
System of linear equations (three variables)
python3 scripts/calc.py "\\begin{cases} x + y + z = 6 \\\\ 2x - y + z = 3 \\\\ x + 2y - z = 2 \\end{cases}"
Inequality solving
python3 scripts/calc.py "2x + 5 > 15"                       # x > 5
python3 scripts/calc.py "x^2 - 4 \geq 0"                    # x ≤ -2 or x ≥ 2
Specify language
python3 scripts/calc.py "2 + 3" zh
python3 scripts/calc.py "2 + 3" en

Features

Supports complete LaTeX mathematical expressions

Automatically records and displays calculation steps

High-precision numerical calculations

User-friendly error messages

Multi-language output support

Notes

LaTeX format input is required

Equations and inequalities should be input directly, no solve() wrapper needed

Trigonometric functions use radians by default

Default variable for equation solving is x

Inequality solutions are represented in interval notation

Important: All inputs must use LaTeX format!

python3 /scripts/calc.py "" [language]

LaTeX Format Guide

Multiplication: Use \times or \cdot, e.g., 3 \times 4

Division: Use \div or /, e.g., 8 \div 2

Fraction: Use \frac{numerator}{denominator}, e.g., \frac{1}{2}

Square root: Use \sqfrt{number}, e.g., \sqrt{16}

Power: Use ^, e.g., x^2

Trigonometric functions: \sin, \cos, \tan, etc.

Inequality symbols: \geq, \leq, >, <

Greek letters: \pi, \theta, \alpha, etc.

System of equations: Use \begin{cases}...\end{cases}, e.g.:

  \begin{cases}
  x + y = 10 \\
  x - y = 2
  \end{cases}
  

LaTeX format input is required

Equations and inequalities should be input directly, no solve() wrapper needed

Trigonometric functions use radians by default

Default variable for equation solving is x

Inequality solutions are represented in interval notation