- name
- xiaoyuan-calc
- description
- |
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 <skill-path>/scripts/calc.py "<LaTeX expression>" [language]LaTeX Format Guide
- Multiplication: Use
\ imesor\cdot, e.g.,3 \ imes 4 - Division: Use
\divor/, 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,\ an, etc. - Inequality symbols:
\geq,\leq,>,< - Greek letters:
\pi,\ heta,\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:
+,-,\ imes,\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),\ an(x),\arcsin(x),\arccos(x),\arctan(x) - Logarithms:
\log(x),\ln(x),\log_{a}(b) - Exponentials:
e^x,a^b - Others: Absolute value
|x|, factorialn! - 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 = 3Usage Examples
# Basic calculations (LaTeX format)
python3 scripts/calc.py "2 + 3 \ imes 4" # 14
python3 scripts/calc.py "(2 + 3) \ imes 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" enFeatures
- 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