math_calculation

Math Calculation

A high-performance, precise mathematical expression evaluation library for Go, supporting complex expressions, variables, and various mathematical functions.

Features

• High Precision: Uses decimal package for accurate calculations without floating-point errors
• Expression Evaluation: Parse and evaluate mathematical expressions with variables
• Function Support: Built-in mathematical functions like sqrt, abs, pow, min, max, round, ceil, floor
• Configurable Precision: Control precision and rounding modes
• Performance Optimizations:
  • Expression caching
  • Lexer caching
  • Object pooling
  • Fast implementations of common math operations
• Parallel Calculation: Evaluate multiple expressions in parallel
• Compilation: Pre-compile expressions for repeated evaluation
• Debugging: Detailed debugging information for complex expressions
• Validation: Expression validation and sanitization

Installation

go get github.com/ZHOUXING1997/math_calculation

Quick Example

package main

import (
	"fmt"

	"github.com/ZHOUXING1997/math_calculation"
	"github.com/shopspring/decimal"
)

func main() {
	// Calculate a simple expression
	result, err := math_calculation.Calculate("sqrt(25) + 10", nil, nil)
	if err != nil {
		fmt.Printf("Error: %v\n", err)
		return
	}
	fmt.Printf("Result: %s\n", result) // Output: Result: 15

	// Calculate with variables
	vars := map[string]decimal.Decimal{
		"x": decimal.NewFromFloat(5.0),
	}
	result, _ = math_calculation.Calculate("x * 2 + 3", vars, nil)
	fmt.Printf("x * 2 + 3 = %s\n", result) // Output: x * 2 + 3 = 13
}

Basic Usage

package main

import (
	"fmt"

	"github.com/shopspring/decimal"
	"github.com/ZHOUXING1997/math_calculation"
	"github.com/ZHOUXING1997/math_calculation/math_config"
)

func main() {
	// Define an expression
	expr := "sqrt(25) * (3.14 * x + 2.5) - abs(-5) + pow(2, 3)"

	// Define variables
	vars := map[string]decimal.Decimal{
		"x": decimal.NewFromFloat(5.0),
	}

	// Method 1: Simple API
	result, err := math_calculation.Calculate(expr, vars, math_config.NewDefaultCalcConfig())
	if err != nil {
		fmt.Printf("Error: %v\n", err)
		return
	}
	fmt.Printf("Result: %s\n", result)

	// Method 2: Fluent API
	calc := math_calculation.NewCalculator(nil)
	chainResult, err := calc.WithVariable("x", decimal.NewFromFloat(5.0)).Calculate(expr)
	if err != nil {
		fmt.Printf("Error: %v\n", err)
		return
	}
	fmt.Printf("Chain API Result: %s\n", chainResult)
}

Advanced Features

Pre-compilation for Performance

// Create calculator
calc := math_calculation.NewCalculator(nil)
calc.WithVariable("x", decimal.NewFromFloat(5.0))

// Compile expression once
compiled, err := calc.Compile("sqrt(x) * (3.14 + 2.5)")
if err != nil {
    fmt.Printf("Compilation error: %v\n", err)
    return
}

// Evaluate multiple times with different variables
for i := 0; i < 1000; i++ {
    result, _ := compiled.Evaluate(map[string]decimal.Decimal{
        "x": decimal.NewFromFloat(float64(i)),
    })
    // Use result...
}

Parallel Calculation

expressions := []string{
    "sqrt(16) + 10",
    "pow(2, 8) / 4",
    "min(abs(-10), 5, 8)",
    "max(3 * 2, 7, 2 + 3)",
}

results, errs := math_calculation.NewCalculator(nil).
    WithVariable("x", decimal.NewFromFloat(5.0)).
    WithTimeout(time.Second * 10).
    CalculateParallel(expressions)

for i, result := range results {
    if errs[i] != nil {
        fmt.Printf("Expression %s failed: %v\n", expressions[i], errs[i])
    } else {
        fmt.Printf("Expression %s = %s\n", expressions[i], result)
    }
}

Precision Control

// Control precision mode
result, _ := math_calculation.NewCalculator(nil).
    WithPrecision(2).                    // Set precision to 2 decimal places
    WithPrecisionMode(math_config.CeilPrecision).  // Use ceiling rounding
    Calculate("1/3 + 1/3 + 1/3")

// Control when precision is applied
eachStepResult, _ := math_calculation.NewCalculator(nil).
    WithPrecisionEachStep().             // Apply precision at each calculation step
    Calculate("1/3 + 1/3 + 1/3")         // Typically results in 0.9999...

finalResult, _ := math_calculation.NewCalculator(nil).
    WithPrecisionFinalResult().          // Apply precision only to final result
    Calculate("1/3 + 1/3 + 1/3")         // Results in 1.0

Debugging

calc := math_calculation.NewCalculator(nil).
    WithDebugMode(math_config.DebugDetailed)

result, debugInfo, err := calc.CalculateWithDebug("1/3 + 1/3 + 1/3")
if err != nil {
    fmt.Printf("Error: %v\n", err)
    return
}

fmt.Printf("Result: %s\n", result)
fmt.Printf("Expression: %s\n", debugInfo.Expression)
fmt.Printf("Variables: %v\n", debugInfo.Variables)

// Print calculation steps
for i, step := range debugInfo.Steps {
    fmt.Printf("Step %d: %s = %s\n", i+1, step.Operation, step.Result)
}

Supported Operations

Operators

• Addition: +
• Subtraction: -
• Multiplication: *
• Division: /
• Power: ^ (integer exponents only)
• Unary plus: +
• Unary minus: -

Functions

• sqrt(x) - Square root
• abs(x) - Absolute value
• pow(x, y) - Power (x raised to y)
• min(x1, x2, ...) - Minimum value
• max(x1, x2, ...) - Maximum value
• round(x) - Round to nearest integer
• round(x, n) - Round to n decimal places
• ceil(x) - Ceiling (round up to nearest integer)
• ceil(x, n) - Ceiling to n decimal places
• floor(x) - Floor (round down to nearest integer)
• floor(x, n) - Floor to n decimal places

Configuration Options

// Create custom configuration
config := &math_config.CalcConfig{
    MaxRecursionDepth:      100,           // Maximum recursion depth
    Timeout:                time.Second * 5, // Execution timeout
    Precision:              10,            // Decimal precision
    PrecisionMode:          math_config.RoundPrecision, // Rounding mode
    ApplyPrecisionEachStep: true,          // Apply precision at each step
    UseExprCache:           true,          // Use expression cache
    UseLexerCache:          true,          // Use lexer cache
    DebugMode:              math_config.DebugNone, // Debug mode
}

// Or use fluent API
calc := math_calculation.NewCalculator(nil).
    WithPrecision(10).
    WithPrecisionMode(math_config.RoundPrecision).
    WithTimeout(time.Second * 5).
    WithMaxRecursionDepth(100).
    WithCache().
    WithDebugMode(math_config.DebugNone)

Performance Considerations

• Use pre-compilation for expressions that will be evaluated multiple times
• Control cache sizes for optimal memory usage:

  math_calculation.SetLexerCacheCapacity(2000)
  math_calculation.SetExprCacheCapacity(3000)
  

• For batch processing, use parallel calculation
• Choose precision control strategy based on your needs:
  • WithPrecisionEachStep() for maximum control over potential overflow
  • WithPrecisionFinalResult() for more accurate results in some cases

Documentation

For detailed documentation and API reference, visit pkg.go.dev/github.com/ZHOUXING1997/math_calculation

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

License

MIT License