System Requirements Document (SRD)

Project Name: fierce-application

1. Introduction

The fierce-application is an advanced calculator application designed to provide users with a versatile and interactive tool for performing complex mathematical operations. This document outlines the system requirements for the development of the application, ensuring clarity and alignment with the project goals.

The application is tailored for users in India (IN), with locale-specific defaults such as the Indian numbering system and timezone (IST). The goal is to deliver a feature-rich, user-friendly, and visually appealing calculator that caters to both basic and advanced mathematical needs.

2. System Overview

The fierce-application will serve as a robust platform for performing a wide range of calculations, from basic arithmetic to advanced scientific computations. It will include features such as equation solving, history tracking, and support for trigonometric, logarithmic, and exponential functions.

The application will be accessible via both web and mobile platforms, ensuring cross-device compatibility and a seamless user experience. The design will focus on simplicity, interactivity, and responsiveness, making it suitable for students, professionals, and casual users alike.

3. Functional Requirements

The functional requirements for the fierce-application are as follows:

• As a User, I should be able to perform basic arithmetic operations (addition, subtraction, multiplication, division).
• As a User, I should be able to perform advanced scientific calculations (trigonometric, logarithmic, exponential functions).
• As a User, I should be able to solve equations (linear, quadratic, etc.).
• As a User, I should be able to view a history of my past calculations.
• As a User, I should be able to clear the history of calculations.
• As a User, I should be able to switch between light and dark themes.
• As a User, I should be able to use the calculator in both portrait and landscape orientations on mobile devices.
• As a User, I should be able to copy the result of a calculation to the clipboard.
• As a User, I should be able to input complex calculations using a text-based input field.
• As a User, I should be able to use a clean and interactive UI with buttons for common functions.

4. User Personas

The fierce-application is designed for the following user personas:

1. Student

   • Needs: Solve mathematical problems for school or college assignments.
   • Goals: Perform both basic and advanced calculations quickly and accurately.
   • Device Preference: Mobile and web.

2. Professional

   • Needs: Perform advanced calculations for work-related tasks (e.g., engineering, finance).
   • Goals: Access a reliable and feature-rich calculator with history tracking.
   • Device Preference: Web and desktop.

3. Casual User

   • Needs: Perform basic calculations for day-to-day tasks.
   • Goals: Use a simple and intuitive interface.
   • Device Preference: Mobile.

5. Visuals Colors and Theme

The fierce-application will feature a unique and vibrant color palette to enhance user experience:

• primary: #2A9D8F (Emerald Green)
• primary_light: #A8DADC (Light Aqua)
• secondary: #E76F51 (Coral Red)
• accent: #F4A261 (Amber Orange)
• highlight: #FFD166 (Golden Yellow)
• bg: #F1FAEE (Soft White)
• surface: rgba(42, 157, 143, 0.8) (Emerald Green with transparency)
• text: #1D3557 (Deep Navy Blue)
• text_muted: #457B9D (Muted Blue)
• border: rgba(69, 123, 157, 0.2) (Soft Blue with transparency)

6. Signature Design Concept

Interactive Formula Playground

The homepage of the fierce-application will feature an Interactive Formula Playground, a dynamic and visually engaging interface where users can explore mathematical concepts.

Key Features:

• 3D Equation Visualizer: Using @react-three/fiber and @react-three/drei, users can input equations, and the app will render them as 3D graphs in real-time.
• Interactive Buttons: Buttons will "bounce" slightly when clicked, using framer-motion for spring physics.
• Dynamic Themes: The background will subtly shift colors based on the type of calculation being performed (e.g., blue for trigonometry, green for algebra).
• Hover Effects: Hovering over buttons or input fields will trigger glowing outlines and tooltips.
• Equation Solver Animation: When solving an equation, the app will animate the process step-by-step, visually breaking down the solution.

This concept ensures that the fierce-application is not just a tool but an engaging experience that makes mathematics approachable and exciting.

7. Interaction Model & Motion Direction

Interaction Model: Parallax

The landing page will use a parallax interaction model, creating a sense of depth and immersion. Layers such as the 3D equation visualizer, background gradients, and UI elements will move at different speeds as the user scrolls.

Motion Direction:

• Scroll-triggered reveals: Sections of the page will fade in and slide up as the user scrolls.
• Hover transitions: Buttons and icons will scale slightly and change color on hover.
• Spring physics: Interactive elements like buttons and toggles will have a natural, bouncy feel.

8. Non-Functional Requirements

• The application must load within 2 seconds on a standard 4G connection.
• The UI must be responsive and adapt seamlessly to different screen sizes.
• The application must support both light and dark modes.
• The history feature must store up to 100 past calculations.
• The application must handle up to 1,000 concurrent users without performance degradation.

9. Tech Stack

Frontend

• React for Web
• React Native for Mobile

Backend

• Python
• FastAPI

Database

• MySQL (with Alembic for migrations)

AI Models

• GPT 5.4 for user-friendly responses

AI Tools

• Langchain

Local Orchestration

• Docker
• docker-compose

Server-Side Orchestration

• Kubernetes

10. Assumptions and Constraints

• The application will primarily target users in India, with IST as the default timezone.
• The application will be available in English for the initial release.
• The system will not store sensitive user data beyond calculation history.

11. Glossary

• IST: Indian Standard Time.
• UI: User Interface.
• 3D Equation Visualizer: A feature that renders mathematical equations as three-dimensional graphs.
• Parallax: A design technique where background elements move at a different speed than foreground elements, creating a sense of depth.