Expression Parser
Scientific Computing

Mathematical expression parser for .NET applications. Evaluate formulas with variables, functions, scientific constants, and unit conversions in engineering and scientific software.

E = mc² ∫₀^∞ e^(-x²) dx F = ma ∇²ψ = 0 sin(θ) λ = h/p E = mc² ∂u/∂t = α∇²u ∮ E·dl = -dΦB/dt PV = nRT ∑(i=1 to n) i² lim(x→0) sin(x)/x ∇ × B = μ₀J ζ(s) = ∑1/n^s ΔG = ΔH - TΔS f(t) = A·e^(-t/τ) ∫∫∫ ρ dV H(s) = 1/(1+sτ) ∇·F = ρ/ε₀ Φ = ∫ B·dA PARSER 440+ Functions Functions • Units • Constants • Mathematics • Physics

What is Expression Parser?

Expression Parser overcomes the limitation of static mathematical expressions in industrial software. Modify math expressions at runtime instead of recompiling code. This eliminates system downtime, enables real-time adjustments, and provides flexibility for test systems, machine controllers, and simulations.

The library is built for industrial applications requiring mathematical calculations: test and measurement systems, machine control, signal conditioning, and simulation modeling. It evaluates text-based expressions with sub-millisecond performance and includes 440+ functions across mathematics, physics, electronics, and logic. All operations feature comprehensive error handling and validation for mission-critical reliability.

Function Library

Mathematical functions for scientific and engineering calculations

Mathematical Functions

Mathematical toolkit from basic arithmetic to advanced functions like Bessel equations and gamma functions.

120+ mathematical operations
  • Basic arithmetic and algebra
  • Trigonometric and hyperbolic functions
  • Statistical and probability functions
  • Special functions and calculus

Physics Functions

Physics functions for classical mechanics, thermodynamics, electromagnetism, quantum mechanics, and optics.

50+ physics calculations
  • Mechanics and motion equations
  • Thermodynamics calculations
  • Electromagnetic force calculations
  • Quantum mechanics functions

Electronics Functions

Electronics functions for circuit analysis, power calculations, filter design, and digital electronics.

35+ electronics formulas
  • Ohm's law and power calculations
  • RC and RL circuit analysis
  • Filter design and impedance
  • Digital logic operations

Logic & Boolean

Boolean algebra toolkit including bitwise operations, set theory, fuzzy logic, and digital circuit functions.

45+ logic operations
  • Boolean algebra operations
  • Bitwise manipulation
  • Set theory operations
  • Fuzzy logic functions

Real-World Applications

How Expression Parser is used in different industries

Test & Measurement Systems

The Problem: Test engineers need to modify mathematical calculations during test execution without recompiling code. Static expressions force rebuilds for formula changes, causing downtime in automated test environments.

How Expression Parser Helps: Build and change math expressions at runtime instead of being forced to define them statically at edit time. Test systems can adapt calculations on-the-fly, supporting dynamic test sequences, conditional logic, and real-time formula adjustments without system restarts.

Runtime Configuration Dynamic Test Sequences Zero Downtime Updates

Machine Control & Automation

The Problem: Industrial machine controllers require complex mathematical models for signal conditioning, control algorithms, and real-time adjustments. Hard-coded expressions limit flexibility and make system tuning difficult.

How Expression Parser Helps: Enables runtime definition of control algorithms, signal processing formulas, and machine-specific calculations. Supports conditional expressions, piecewise functions, and custom periodic functions for advanced machine control with very high performance evaluation.

Signal Conditioning Control Algorithms Real-time Adaptation

Simulation & Modeling

The Problem: Engineering simulations require complex mathematical models that need frequent parameter adjustments and formula modifications. Static expressions make it impossible to experiment with different models during runtime.

How Expression Parser Helps: Supports dynamic model definition with 260+ math functions and unlimited variables. Engineers can build and modify simulation models at runtime, experiment with different mathematical approaches, and implement complex conditional logic without code changes.

Dynamic Modeling Parameter Tuning Complex Logic

Technical Specifications

Comprehensive capabilities for every calculation need

Function Categories

  • Mathematical Functions: 120+
  • Physics Functions: 50+
  • Electronics Functions: 35+
  • Logic & Boolean: 45+
  • Symbolic Math: 30+
  • Unit Conversions: 30+

Constants & Units

  • Physical Constants: 47
  • Mathematical Constants: 15
  • Unit Systems: 80+
  • Length Units: 12
  • Energy Units: 8
  • Temperature Units: 6

Performance & Compatibility

  • Evaluation Speed: < 1ms
  • Memory Usage: < 5MB
  • .NET Framework: 4.7.2+
  • .NET Core: 3.1+
  • Thread Safety: Full
  • Error Handling: Comprehensive

Code Examples

See how easy it is to integrate Expression Parser

Basic Usage

Get started with simple mathematical expressions and variable handling

using ULTRAMEGA.ExpressionParser;

// Create evaluator
var evaluator = new ExpressionEvaluator();

// Simple calculations
double result1 = evaluator.Evaluate("2 + 3 * 4");           // 14
double result2 = evaluator.Evaluate("sin(pi/4)");           // 0.7071
double result3 = evaluator.Evaluate("sqrt(25)");            // 5

// Using variables
evaluator.SetVariable("x", 5);
evaluator.SetVariable("y", 3);
double result4 = evaluator.Evaluate("x^2 + y^2");           // 34

Engineering Calculations

Real-world engineering applications with complex formulas

// Beam deflection calculation
evaluator.SetVariable("F", 10000);    // Force (N)
evaluator.SetVariable("L", 6);        // Length (m)
evaluator.SetVariable("E", 200e9);    // Young's modulus (Pa)
evaluator.SetVariable("I", 8.33e-6);  // Second moment (m⁴)

// Calculate deflection: δ = FL³/(48EI)
string expression = "F * L^3 / (48 * E * I)";
double deflection = evaluator.Evaluate(expression);

Physics Equations

Advanced physics calculations for scientific applications

// Orbital mechanics
evaluator.SetVariable("G", 6.67430e-11);  // Gravitational constant
evaluator.SetVariable("M", 5.972e24);     // Earth mass (kg)
evaluator.SetVariable("r", 7000e3);       // Orbital radius (m)

// Orbital period: T = 2π√(r³/GM)
string periodExpression = "2 * pi * sqrt(r^3 / (G * M))";
double period = evaluator.Evaluate(periodExpression);

// Orbital velocity: v = √(GM/r)
double velocity = evaluator.Evaluate("sqrt(G * M / r)");

Documentation & Resources

Everything you need to evaluate and implement Expression Parser

API Reference

Complete API documentation with all functions, constants, and usage examples for quick integration.

Function Library

Comprehensive list of all 440+ mathematical functions, constants, and units with detailed descriptions.

Integration Guide

Step-by-step guide for integrating Expression Parser into your .NET applications with best practices.