This project aims to develop a fully functional general-purpose calculator entirely from scratch. Unlike typical calculators that rely on built-in floating-point arithmetic, this software will feature a custom numerical system optimized for high precision and efficiency. The ultimate goal is to provide an advanced yet intuitive tool for scientific and engineering calculations.
The calculator will support:
- Convert numbers between different bases (Binary, Octal, Decimal, Hexadecimal, and Custom Bases).
- Support for arbitrary precision when converting between bases.
- Addition, subtraction, multiplication, and division.
- Modular arithmetic for advanced number theory applications.
- Support for both fixed-point and floating-point computations.
- Square roots and higher-order roots.
- Power functions with full precision.
- Factorials, logarithms, and exponentials.
- A database of fundamental constants such as π, e, Planck’s constant, and more.
- Convert between different measurement units (e.g., length, mass, time, temperature).
- Sin, Cos, Tan, and their inverses.
- Hyperbolic functions (Sinh, Cosh, Tanh, etc.).
- Optimized implementations using series expansion and lookup tables for speed.
- Solve linear and non-linear equations.
- Support for polynomial roots and higher-degree equations.
- Future expansion to systems of equations.
- Derivative Calculator: Compute derivatives symbolically and numerically.
- Integral Calculator: Perform definite and indefinite integrals.
- Support for step-by-step solutions and approximation methods.
To achieve these goals, the calculator will be developed in multiple phases:
- Implementing a custom numerical system (avoiding standard floating-point errors by designing a specialized format).
- Building a library of mathematical functions with optimized precision.
- Developing an interactive command-line interface for user input and computations.
- Expanding to a graphical user interface (GUI) in later stages for ease of use.
Many existing calculators rely on standard floating-point arithmetic, which introduces rounding errors and precision limitations. This project will push the boundaries of numerical accuracy by implementing a custom arithmetic system, ensuring precision for complex calculations.
- Implement symbolic computation for algebraic expressions.
- Develop an AI-based function simplifier.
- Add graphing capabilities for functions and equations.
- Support for parallel computation using SIMD for performance improvements.
This calculator is a step towards creating a robust and efficient computational tool for students, engineers, and scientists. Stay tuned for updates as the project progresses!