|
| 1 | +# AI Agent Test Prompts for Calculator Server Tools |
| 2 | + |
| 3 | +This document provides ready-to-use prompts for testing the calculator server tools with AI agents. Each prompt is designed to thoroughly test a specific calculator tool. |
| 4 | + |
| 5 | +--- |
| 6 | + |
| 7 | +## 🧮 **Basic Math Tool Tests** |
| 8 | + |
| 9 | +### Prompt 1: Basic Math Operations |
| 10 | +``` |
| 11 | +Test the basic_math tool with these calculations: |
| 12 | +1. Add these numbers: 15, 25, 10 |
| 13 | +2. Subtract 45 from 100 |
| 14 | +3. Multiply 12 by 8 |
| 15 | +4. Divide 144 by 12 |
| 16 | +5. Calculate 22 divided by 7 with 4 decimal places precision |
| 17 | +6. Add -15 and 8 |
| 18 | +7. Try to divide 10 by 0 (test error handling) |
| 19 | +
|
| 20 | +For each calculation, use the basic_math tool and report both the input and result. |
| 21 | +``` |
| 22 | + |
| 23 | +### Prompt 2: Basic Math Edge Cases |
| 24 | +``` |
| 25 | +Test edge cases with the basic_math tool: |
| 26 | +1. Multiply very large numbers: 999999999 × 999999999 |
| 27 | +2. Add many small decimals: 0.1 + 0.2 + 0.3 + 0.4 + 0.5 |
| 28 | +3. Divide with high precision: 1 ÷ 3 with 10 decimal places |
| 29 | +4. Subtract resulting in negative: 5 - 12 |
| 30 | +5. Multiply by zero: 500 × 0 |
| 31 | +
|
| 32 | +Report any interesting behaviors or limitations you observe. |
| 33 | +``` |
| 34 | + |
| 35 | +--- |
| 36 | + |
| 37 | +## 📐 **Advanced Math Tool Tests** |
| 38 | + |
| 39 | +### Prompt 3: Trigonometric Functions |
| 40 | +``` |
| 41 | +Use the advanced_math tool to calculate: |
| 42 | +1. sin(90) in degrees |
| 43 | +2. cos(0) in radians |
| 44 | +3. tan(45) in degrees |
| 45 | +4. sin(π/2) in radians (use 1.5708 as approximation) |
| 46 | +5. cos(π) in radians (use 3.1416 as approximation) |
| 47 | +
|
| 48 | +Test both degree and radian modes where applicable. |
| 49 | +``` |
| 50 | + |
| 51 | +### Prompt 4: Logarithmic and Other Functions |
| 52 | +``` |
| 53 | +Test these advanced mathematical functions: |
| 54 | +1. Natural logarithm: ln(2.718) |
| 55 | +2. Base-10 logarithm: log10(1000) |
| 56 | +3. Square root: sqrt(64) |
| 57 | +4. Absolute value: abs(-25) |
| 58 | +5. Factorial: factorial(6) |
| 59 | +6. Exponential: exp(2) |
| 60 | +7. Power function: test pow with value 3 |
| 61 | +
|
| 62 | +For each function, use the advanced_math tool and explain what the result represents. |
| 63 | +``` |
| 64 | + |
| 65 | +--- |
| 66 | + |
| 67 | +## 📊 **Statistics Tool Tests** |
| 68 | + |
| 69 | +### Prompt 5: Basic Statistical Analysis |
| 70 | +``` |
| 71 | +Use the statistics tool to analyze this dataset: [12, 15, 18, 12, 20, 25, 18, 12, 30, 22] |
| 72 | +
|
| 73 | +Calculate: |
| 74 | +1. Mean (average) |
| 75 | +2. Median (middle value) |
| 76 | +3. Mode (most frequent value) |
| 77 | +4. Standard deviation |
| 78 | +5. Variance |
| 79 | +
|
| 80 | +Interpret what each statistic tells us about the dataset. |
| 81 | +``` |
| 82 | + |
| 83 | +### Prompt 6: Advanced Statistics |
| 84 | +``` |
| 85 | +Test the stats_summary tool with this dataset: [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] |
| 86 | +
|
| 87 | +Then use the percentile tool to find: |
| 88 | +1. 25th percentile |
| 89 | +2. 75th percentile |
| 90 | +3. 90th percentile |
| 91 | +
|
| 92 | +Explain what these percentiles mean in practical terms. |
| 93 | +``` |
| 94 | + |
| 95 | +--- |
| 96 | + |
| 97 | +## 🔄 **Unit Conversion Tool Tests** |
| 98 | + |
| 99 | +### Prompt 7: Length and Weight Conversions |
| 100 | +``` |
| 101 | +Use the unit_conversion tool for these conversions: |
| 102 | +1. Convert 100 meters to feet |
| 103 | +2. Convert 50 kilograms to pounds |
| 104 | +3. Convert 24 inches to centimeters |
| 105 | +4. Convert 5 miles to kilometers (use "mi" and "km") |
| 106 | +
|
| 107 | +For each conversion, explain the practical application of the result. |
| 108 | +``` |
| 109 | + |
| 110 | +### Prompt 8: Temperature and Volume Conversions |
| 111 | +``` |
| 112 | +Test temperature and volume conversions: |
| 113 | +1. Convert 32°F to Celsius (use "F" and "C") |
| 114 | +2. Convert 100°C to Fahrenheit |
| 115 | +3. Convert 273.15 Kelvin to Celsius (use "K" and "C") |
| 116 | +4. Convert 5 liters to gallons (use "l" and "gal") |
| 117 | +5. Convert 1 gallon to liters |
| 118 | +
|
| 119 | +Explain when these conversions might be needed in real-world scenarios. |
| 120 | +``` |
| 121 | + |
| 122 | +### Prompt 9: Batch Conversions |
| 123 | +``` |
| 124 | +Use the batch_conversion tool to convert multiple values at once: |
| 125 | +1. Convert [1, 2, 3, 4, 5] meters to feet |
| 126 | +2. Convert [10, 20, 30, 40, 50] pounds to kilograms (use "lb" and "kg") |
| 127 | +
|
| 128 | +Compare the efficiency of batch vs individual conversions. |
| 129 | +``` |
| 130 | + |
| 131 | +--- |
| 132 | + |
| 133 | +## 💰 **Financial Tool Tests** |
| 134 | + |
| 135 | +### Prompt 10: Basic Financial Calculations |
| 136 | +``` |
| 137 | +Test these financial scenarios with the financial tool: |
| 138 | +1. Simple interest: $5000 principal, 4% rate, 3 years |
| 139 | +2. Compound interest: $5000 principal, 4% rate, 3 years, monthly compounding (12 periods) |
| 140 | +3. Loan payment: $250000 loan, 3.5% rate, 30 years |
| 141 | +4. ROI calculation: initial investment $10000, final value $15000 |
| 142 | +
|
| 143 | +Explain what each calculation tells an investor or borrower. |
| 144 | +``` |
| 145 | + |
| 146 | +### Prompt 11: Advanced Financial Analysis |
| 147 | +``` |
| 148 | +Test advanced financial tools: |
| 149 | +1. Use the npv tool with these cash flows: [-50000, 15000, 20000, 25000, 30000] at 8% discount rate |
| 150 | +2. Use the irr tool with the same cash flows |
| 151 | +3. Use loan_comparison tool to compare: |
| 152 | + - Loan A: $200000, 4.5% rate, 30 years |
| 153 | + - Loan B: $200000, 3.8% rate, 15 years |
| 154 | +
|
| 155 | +Interpret the results for investment decision-making. |
| 156 | +``` |
| 157 | + |
| 158 | +--- |
| 159 | + |
| 160 | +## 🧮 **Expression Evaluation Tests** |
| 161 | + |
| 162 | +### Prompt 12: Simple Expressions |
| 163 | +``` |
| 164 | +Test the expression_eval tool with: |
| 165 | +1. Simple arithmetic: "10 + 5 * 2" |
| 166 | +2. With parentheses: "(10 + 5) * 2" |
| 167 | +3. Using pi constant: "pi * 4" |
| 168 | +4. Using e constant: "e * 2" |
| 169 | +5. With variables: "x * 2 + y" where x=10, y=5 |
| 170 | +
|
| 171 | +Note which expressions work and which encounter errors. |
| 172 | +``` |
| 173 | + |
| 174 | +### Prompt 13: Complex Expressions (Test Limitations) |
| 175 | +``` |
| 176 | +Test these more complex expressions to identify limitations: |
| 177 | +1. "sqrt(16) + 4" |
| 178 | +2. "sin(pi/2) + cos(0)" |
| 179 | +3. "pow(2, 3) + 1" |
| 180 | +4. "2^3 + sqrt(9)" |
| 181 | +5. "abs(-5) + ln(e)" |
| 182 | +
|
| 183 | +Document which functions work within expressions vs. as individual function calls. |
| 184 | +``` |
| 185 | + |
| 186 | +--- |
| 187 | + |
| 188 | +## 🎯 **Comprehensive Integration Tests** |
| 189 | + |
| 190 | +### Prompt 14: Multi-Tool Workflow |
| 191 | +``` |
| 192 | +Create a comprehensive analysis using multiple tools: |
| 193 | +
|
| 194 | +Scenario: Analyzing a small business investment |
| 195 | +1. Use basic_math to calculate total startup costs: $25000 + $15000 + $8000 |
| 196 | +2. Use financial tool to calculate loan payment for the total at 5.5% for 7 years |
| 197 | +3. Use statistics to analyze projected monthly revenues: [3500, 4200, 3800, 4500, 4100, 3900, 4300] |
| 198 | +4. Use unit_conversion to convert 500 square meters to square feet for office space |
| 199 | +5. Use expression_eval to calculate monthly profit: "revenue - expenses" where revenue=4100, expenses=2800 |
| 200 | +
|
| 201 | +Present this as a business analysis report. |
| 202 | +``` |
| 203 | + |
| 204 | +### Prompt 15: Scientific Calculation Workflow |
| 205 | +``` |
| 206 | +Perform a scientific calculation sequence: |
| 207 | +1. Use advanced_math to calculate sin(30°), cos(30°), and tan(30°) |
| 208 | +2. Use expression_eval to verify the trigonometric identity: "sin_val^2 + cos_val^2" where sin_val and cos_val are your results from step 1 |
| 209 | +3. Use basic_math to calculate the area of a circle with radius 5: π × r² |
| 210 | +4. Use unit_conversion to convert this area from m² to ft² |
| 211 | +5. Use statistics to analyze measurement errors: [4.98, 5.02, 4.97, 5.01, 4.99, 5.03, 4.96] |
| 212 | +
|
| 213 | +Present as a scientific measurement report. |
| 214 | +``` |
| 215 | + |
| 216 | +--- |
| 217 | + |
| 218 | +## 🔍 **Error Testing and Edge Cases** |
| 219 | + |
| 220 | +### Prompt 16: Systematic Error Testing |
| 221 | +``` |
| 222 | +Test error handling across different tools: |
| 223 | +1. basic_math: Try division by zero |
| 224 | +2. advanced_math: Try factorial of negative number |
| 225 | +3. statistics: Try operations on empty dataset [] |
| 226 | +4. unit_conversion: Try invalid units "xyz" to "abc" |
| 227 | +5. expression_eval: Try malformed expression "2 + + 3" |
| 228 | +6. financial: Try negative time period |
| 229 | +
|
| 230 | +Document how each tool handles invalid inputs. |
| 231 | +``` |
| 232 | + |
| 233 | +### Prompt 17: Boundary Testing |
| 234 | +``` |
| 235 | +Test boundary conditions: |
| 236 | +1. Very large numbers: 999999999999 × 999999999999 |
| 237 | +2. Very small numbers: 0.000000001 × 0.000000001 |
| 238 | +3. Maximum precision: Calculate 1/7 with maximum decimal places |
| 239 | +4. Large datasets: Generate and analyze statistics for 100 random numbers |
| 240 | +5. Extreme temperatures: Convert -273°C to Kelvin and Fahrenheit |
| 241 | +
|
| 242 | +Report any limitations or unexpected behaviors. |
| 243 | +``` |
| 244 | + |
| 245 | +--- |
| 246 | + |
| 247 | +## 📝 **Usage Instructions for AI Agents** |
| 248 | + |
| 249 | +### How to Use These Prompts: |
| 250 | +1. **Copy and paste** any prompt directly to an AI agent with calculator server access |
| 251 | +2. **Sequential testing**: Use prompts in order for systematic coverage |
| 252 | +3. **Custom modifications**: Adjust numbers and scenarios for specific use cases |
| 253 | +4. **Error documentation**: Note any failures or limitations discovered |
| 254 | +5. **Performance observation**: Monitor response times and accuracy |
| 255 | + |
| 256 | +### Expected Outcomes: |
| 257 | +- **Functional verification**: Confirm all tools work as expected |
| 258 | +- **Limitation discovery**: Identify areas needing improvement |
| 259 | +- **Integration testing**: Verify tools work well together |
| 260 | +- **Error handling**: Confirm robust error responses |
| 261 | +- **Performance assessment**: Evaluate speed and accuracy |
| 262 | + |
| 263 | +### Reporting Template: |
| 264 | +``` |
| 265 | +## Test Results for [Tool Name] |
| 266 | +- **Prompt Used**: [Prompt number and description] |
| 267 | +- **Tests Passed**: X/Y |
| 268 | +- **Failures**: [List any failures with error messages] |
| 269 | +- **Performance**: [Response time observations] |
| 270 | +- **Notes**: [Any interesting observations] |
| 271 | +``` |
| 272 | + |
| 273 | +--- |
| 274 | + |
| 275 | +## 🎯 **Quick Test Commands** |
| 276 | + |
| 277 | +For rapid testing, use these single-line prompts: |
| 278 | + |
| 279 | +```bash |
| 280 | +# Quick basic math test |
| 281 | +"Calculate: 15+25, 100-45, 12*8, 144/12 using basic_math tool" |
| 282 | + |
| 283 | +# Quick advanced math test |
| 284 | +"Calculate: sin(90°), cos(0), sqrt(64), factorial(5) using advanced_math tool" |
| 285 | + |
| 286 | +# Quick statistics test |
| 287 | +"Find mean, median, mode of [10,20,30,20,40] using statistics tool" |
| 288 | + |
| 289 | +# Quick unit conversion test |
| 290 | +"Convert: 10m→ft, 5kg→lb, 25°C→°F using unit_conversion tool" |
| 291 | + |
| 292 | +# Quick financial test |
| 293 | +"Calculate simple interest: $1000, 5%, 2 years using financial tool" |
| 294 | +``` |
| 295 | + |
| 296 | +These prompts provide comprehensive testing coverage and can be used with any AI agent that has access to the calculator server tools. |
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