Programmed by NAS6 - nas6.net
NAS6LIB is a comprehensive JavaScript library for physics simulations and geometric transformations, originally developed
for real-time 3D graphics in game development. It offers highly optimized and numerically stable implementations of
fundamental linear algebra operations.
A key unique feature is its advanced relativistic gravitational many-body problem simulator, demonstrating complex orbital
mechanics such as the perihelion of Mercury.
Operating environment (Optional)
NAS6LIB works in major browser environments.
Currently, we have confirmed that it works with the following libraries as options, although they are not required:
jQuery 3.7.1
x3dom 1.8.3
ThreeJS R177
Related files will be updated in due course.
By performing numerical calculations with NAS6LIB and leaving the drawing to an existing 3D library,
a graphical page like this is created.
太陽系シミュレーション (Solar System Simulation)
Solar System Simulation DEMO
衛星軌道シミュレーション (Satellite orbit Simulation)
Satellite orbit Simulation DEMO
フレネル効果 (Fresnel Effect)
Fresnel Effect DEMO
Experience NAS6LIB in action:
- Main Demo Page: https://nas6mixfoolv.github.io/NAS6LIB/
- Solar System Planet Orbit Simulator: https://nas6.net/solarsystem.htm
- Satellite Orbit Simulator: https://nas6.net/satellite.htm
- Fresnel Effect: Fresnel Effect DEMO
In the link,
ijkl is the rotation vector to test
xyz is the Euler angle to check for consistency
- Validity verified by automated testing:
DEMO : https://nas6.net/testpoly_chktest/testpoly_chktest.htm - 3D rotation test:
DEMO : https://nas6.net/rot.htm
NAS6LIB_2_2_1 Zip Files
SolarSystem DEMO Zip Files
Satellite DEMO Zip Files
Simple Template Zip Files
ThreeJS DEMO Zip Files
Validity verified by automated testing Zip Files
3D rotation test Zip Files
Include the necessary JavaScript files in your HTML. You'll typically need vector.js and matrix.js as core components.
Add other modules like quaternion.js, planet.js, etc., as needed for your specific use case.
<script src="https://nas6mixfoolv.github.io/NAS6LIB/javascripts/nas6lib/vector.js"></script>
<script src="https://nas6mixfoolv.github.io/NAS6LIB/javascripts/nas6lib/matrix.js"></script>Here's a simple JavaScript example to get started:
var v1 = new N6LVector([1, 2]);
var v2 = new N6LVector([3, 4]);
var v3 = v1.Add(v2);
console.log(v3.x); // Result: [4, 6]
NAS6LIB is a collection of JavaScript modules, each providing specific functionalities:
vector.js: Defines fundamental Vector operations for 2D, 3D, and N-dimensional calculations.
matrix.js: Contains core Matrix operations, meticulously designed for stability and performance,
including unique handling of homogeneous coordinates (leading the w parameter).
quaternion.js: Provides robust Quaternion operations for managing rotations, designed to avoid issues like gimbal lock.
rngkt.js: Implements the Runge-Kutta method, a powerful numerical technique for solving ordinary differential equations,
often used in physics simulations.
planet.js: Features functions for Kepler's equation, useful for orbital mechanics or celestial simulations.
masspoint.js: Implements functionalities related to mass points, likely for physics simulations.
keyboard.js: Manages keyboard input for interactive applications, offering advanced alias management
and simultaneous keypress support.
timer.js: A timer manager designed to run the main loop efficiently without causing slowdowns,
and enabling a multi-threading like framework in single-tasking JavaScript.
hsv.js: Handles mutual conversions between HSV and RGB color models.
prime.js: Includes utilities for prime number related calculations.
common.js: Provides essential file download and utility functions.
The element order of vectors and matrices in this library is wxyz. This choice allows uniformity and variable length
for homogeneous coordinates (e.g., two-dimensional wxy and three-dimensional wxyz). Calculations are also adjusted
for homogeneous coordinates, with all elements divided by the w value for arithmetic operations. For instance,
Matrix × ZeroVector([1,0,0,0],bHomo=true) returns the translation homo vector of the matrix.
NAS6LIB's core mathematical calculations (vectors, matrices, etc.) are based on a Left-Handed Coordinate System.
This reflects its origins in DirectX game development. When integrating with other 3D libraries
(e.g., WebGL-based ones like Three.js which primarily use a Right-Handed Coordinate System), please be aware of
potential axis differences, especially regarding the Z-axis.
For more in-depth information, including a detailed class list with main methods, advanced relativistic orbital
mechanics formulas, and specific usage examples for modules like keyboard.js, please refer to the advanced documentation:
Advanced NAS6LIB Documentation
AdvancedReadMe
The prototype of NAS6LIB originated from a VC++ DirectX air combat game, evolving through VB+VC#+XNA before
being succeeded by the current JavaScript version in 2016. The original development started about 25 years ago,
around 2000. It may return again and become VC#+WASM in the future.
NAS6LIB_1_2_0 (2016/06/26): Renewal
NAS6LIB_1_3_0 (2016/07/29): Added ./nas6lib/keyboard.js
NAS6LIB_1_4_0 (2016/07/31): N6LMatrix.Vector() perfect calculation
NAS6LIB_1_5_0 (2016/08/04): Added Str(), Parse(str), ToX3DOM(b), and FromX3DOM(sf)
NAS6LIB_1_6_0 (2016/08/14): Added Get/Set-Col/Row(), MoveMat(), LookAtMat2(), and RotArcQuat()
NAS6LIB_1_7_0 (2021/07/27): Added ./nas6lib/hsv.js
NAS6LIB_1_8_0 (2021/09/28): Corrected to class description
NAS6LIB_1_9_0 (2024/03/22): Refined ToSchwartz()
NAS6LIB_1_9_1 (2024/03/25): Added GetEccentricity()
NAS6LIB_1_9_2 (2024/04/09): Added comment
NAS6LIB_2_0_0 (2025/05/25): Improved error handling
NAS6LIB_2_0_1 (2025/05/26): Adaptation to the X3DOM environment
NAS6LIB_2_0_2 (2025/06/08): N6LQuaternion bugfix
NAS6LIB_2_0_3 (2025/06/10): N6LQuaternion & N6LLnQuaternion more bugfix
NAS6LIB_2_1_0 (2025/06/11): add GetAccessor/Get/Set/Create
NAS6LIB_2_1_1 (2025/06/14): refine Comp/Equal/EpsComp/EpsEqual
NAS6LIB_2_1_2 (2025/06/17): Licensing arrangement
NAS6LIB_2_1_3(2025/10/11):note:N6LLnQuaternion bugfix
NAS6LIB_2_1_4(2025/11/04):note:N6LRngKt bugfix
NAS6LIB_2_1_5(2025/12/24):note:add clone()
NAS6LIB_2_1_6(2026/01/01):note:output log
NAS6LIB_2_1_7(2026/01/07):note:add ToGravityRadiationLoss()
NAS6LIB_2_1_8(2026/01/17):note:output log
NAS6LIB_2_2_0(2026/06/21):note:keplerWithAGM
NAS6LIB_2_2_1(2026/07/05):note:BugFix ToSchwartz
License: GPL-3.0