Repository: epistemex/cardinal-spline-js
Branch: master
Commit: dc3206805a13
Files: 14
Total size: 368.4 KB

Directory structure:
gitextract_f0v551o_/

├── .github/
│   └── FUNDING.yml
├── CHANGE.log
├── MIT-LICENSE.md
├── README.md
├── demos/
│   └── demo.html
├── docs/
│   ├── global.html
│   ├── index.html
│   ├── scripts/
│   │   ├── docstrap.lib.js
│   │   └── toc.js
│   └── styles/
│       └── sunlight.default.css
├── package.json
└── src/
    ├── curve.js
    ├── curve_calc.js
    └── curve_draw.js

================================================
FILE CONTENTS
================================================

================================================
FILE: .github/FUNDING.yml
================================================
# These are supported funding model platforms

github: # Replace with up to 4 GitHub Sponsors-enabled usernames e.g., [user1, user2]
patreon: # Replace with a single Patreon username
open_collective: # Replace with a single Open Collective username
ko_fi: # Replace with a single Ko-fi username
tidelift: # Replace with a single Tidelift platform-name/package-name e.g., npm/babel
community_bridge: # Replace with a single Community Bridge project-name e.g., cloud-foundry
liberapay: # Replace with a single Liberapay username
issuehunt: # Replace with a single IssueHunt username
lfx_crowdfunding: # Replace with a single LFX Crowdfunding project-name e.g., cloud-foundry
polar: # Replace with a single Polar username
buy_me_a_coffee: # Replace with a single Buy Me a Coffee username
thanks_dev: # Replace with a single thanks.dev username
custom: ['https://paypal.me/KenNil'] # Replace with up to 4 custom sponsorship URLs e.g., ['link1', 'link2']


================================================
FILE: CHANGE.log
================================================
Change log for Cardinal Spline JS
---------------------------------

3.0.0
Changes from this version can be seen in the git log itself.

2.3.8
BMP: Bumping version for NPM to obtain correct readme.

2.3.7
BMP: Bumping version for bower.

2.3.6
ADD: Support empty point array as input (issue #5). Returns empty Float32Array.

2.3.5
ADD: Documentation only (# of points required). Patch touched for bower (new tag).

2.3.4
ADD: Node.js support for curve_func.js (added by @asmuelle)

2.3.3
ADD: Node.js support for curve_calc.js
IMP: Minor speed improvement
FIX: Docs stated default segments value was 20, corrected to 25.

2.3.1
FIX: Made the extension more "bullet-proof" in case other extensions should happen to have the same name.
FIX: JSDoc return type fixed (Array -> Float32Array).
FIX: Minor touch-ups/improvements
ADD: Added two new file versions of the implementation - one pure function if you don't feel comfortable using
extensions, as well as a pure mathematical function to return a point
array for the spline without drawing anything (canvas not required with this version).

2.3
CHG: Using typed arrays also for resulting array (Float32)
CHG: Default segment value is now 25 instead of 20 (dynamic approach is being considered).
IMP: Speed improvements
FIX: Fixed double point entries in result array

2.2
IMP: Using typed arrays internally for cached tension values for speed improvement
REM: A left over and unnecessary console.log removed

2.1.1
FIX: When closed, length of close array was still reflecting total length internally resulting in empty entries
as the closed section is calculated separately.

2.1
ADD: New option: closed loop
FIX: End point wasn't properly considered

2.0
ADD: Optimized inner loop with a caching step
CHG: Removed redundant code
CHG: Cleaned up var declarations
CHG: Removed internal moveTo() to conform better to context behavior in general


(c) Epistemex 2013-2015
License: MIT


================================================
FILE: MIT-LICENSE.md
================================================
The MIT License (MIT)

Copyright (c) 2013-2018, 2024 Epistemex

Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software is furnished to do so,
subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.


================================================
FILE: README.md
================================================
Cardinal spline
===============

A Cardinal spline (basically a Catmull-Rom with a tension option)
implementation for JavaScript which creates an interpolated
smooth curve through each point pair in the given array. There is no
need to specify control points.

![Demo snapshot](https://i.imgur.com/5e69T5C.png)

Additional options are to provide a closed spline as well as segment
resolution (between each point) and of course a tension value.

_Help keep the project alive by supporting the developer:_

[![PayPalMe](https://github.com/epistemex/transformation-matrix-js/assets/70324091/04203267-58f0-402b-9589-e2dee6e7c510)](https://paypal.me/KenNil)

The archive comes with three separate versions for the sake of convenience:

**curve.js**<br>
Canvas 2D context extension. Call curve() on the context (ctx.curve(...))

**curve_draw.js**<br>
If you prefer not to use an extension then this version provides a clean
function that takes the context as an argument instead.

**curve_calc.js**<br>
Just the internal function that calculates the points. Does not draw
anything.

As well as their minified equivalent. There are no dependencies between
these implementations.


Install
=======

- Git using HTTPS: `git clone https://github.com/epistemex/cardinal-spline-js.git`
- Git using SSH: `git clone git@github.com:epistemex/cardinal-spline-js.git`
- NPM: `npm install /downloads/cardinal-spline-js/` (curve_calc.js / curve_func.js)


Usage
=====

curve.js
--------

Make sure the script is loaded before a 2D context is obtained from the canvas element.

Then use `curve()` as any other method/function on the context -

**Examples**

    ctx.moveTo(points[0], points[1]);  // optionally move to first point
    ctx.curve(points);                 // add cardinal spline to path
    ctx.stroke();                      // stroke path

will draw the points in the array which are arranged in the following manner:

    var points = [x1, y1,  x2, y2, ... xn, yn];

An optional tension value can be given *(default: 0.5)*:

    ctx.curve(points, 0.5);            // sets tension [0.0, 1.0] +/-

a segment resolution value *(default: 25)*:

    ctx.curve(points, 0.5, 25);        // points in each segment

The curve can be drawn closed. All arguments must be given in this
case *(default: false (open))*:

    ctx.curve(points, 0.5, 25, true);  // make a closed loop

The function returns a new (typed) array with the spline points which can be used for
tracking, calculate length and so forth. The values are in floating points:

    var splinePoints = ctx.curve(points);


curve_draw.js
-------------

If you use the function file instead the arguments will be the same as
above except that the context is passed in as the first argument and
then the function is instead called as:

    ctx.moveTo(points[0], points[1]);  // optionally move to first point
    curve(ctx, points);                // add cardinal spline to path
    ctx.stroke();                      // stroke path

Tip: This variant also returns a spline point array.


curve_calc.js
-------------

If you just want to calculate the spline points without drawing anything,
you can use the `curve_calc.js` file and call (please observe that the
name has been changed to better reflect its purpose):

    var splinePoints = getCurvePoints(points, ...);

Context is not required with this function.


In Node.js
----------

Require the package after installing it using npm, then:

    const getCurvePoints = require("cardinal-spline-js").getCurvePoints;
    const outPoints = getCurvePoints(inPoints);

or using ES5 module:

    import { getCurvePoints } from './path/to/curve_calc.js'
    const outPoints = getCurvePoints(inPoints);

Requirements
============

A modern HTML5 compliant browser with support for Typed Arrays and
JavaScript enabled. Except from `curve_calc.js` the canvas element and
a 2D context is required as well.


License
=======

Released under [MIT license](http://choosealicense.com/licenses/mit/).

*&copy; 2013-2018, 2024 Epistemex*

![Epistemex](https://i.imgur.com/wZSsyt8.png)


================================================
FILE: demos/demo.html
================================================
<!DOCTYPE html>
<html>

<!-- *******************************************************************
	 **	    Cardinal spline for canvas extension demo.
	 **
	 **	    (c) Epistemex
	 ** 	License: MIT.
	 *******************************************************************
-->

<head>
	<title>Canvas cardinal (smooth) curve extension - Epistemex</title>

	<style>
		body {
			width            : 100%;
			padding          : 0;
			margin           : 0;
			font             : 14px sans-serif;
			color            : #ccd;
			background-color : #272727;
			}

		h1 {
			font-size   : 32px;
			font-weight : normal;
			margin      : 20px 0;
			color       : #fff;
			}

		p {
			line-height : 19px;
			}

		#container {
			width  : 1024px;
			margin : 0 auto;
			}

		#demoCanvas {
			background-color : #b7b7bb;
			margin-bottom    : 12px;
			cursor           : crosshair;
			}

		.options {
			font-size        : 12px;
			padding          : 9px 5px 9px 5px;
			background-color : #555;
			color            : #fff;
			width            : 1014px;
			margin           : 0;
			}

		.options > input[type=text] {
			width       : 30px;
			margin-left : 5px;
			text-align  : center;
			border      : 1px solid #fff;
			}

		.options > input[type=range] {
			width : 120px;
			}

		.options > span {
			color      : #ff7;
			display    : inline-block;
			width      : 30px;
			text-align : right;
			}

		button {
			border        : 0;
			background    : #888;
			border-radius : 2px;
			font-weight   : bold;
			color         : #fff;
			padding       : 3px 9px;
			float         : right;
			margin        : -3px 3px 0 0;
			}

		button:hover {
			background : #ca2;
			}

		.options > label {
			margin-left : 12px;
			}

		input {
			height         : 9px;
			vertical-align : middle;
			}

		a {
			color           : #fff;
			text-decoration : none;
			}

		a:hover {
			color           : #ffa;
			text-decoration : underline;
			}

		.footerl {
			float : left;
			}

		.footerr {
			float      : right;
			margin-top : -7px;
			}
	</style>
</head>
<body>

	<div id="container">

		<h1>Cardinal spline for canvas</h1>

		<p>Draw a smooth curve (cardinal spline, or Catmull-Rom with tension option) through a point set with open or closed end, variable tension and number of segments.
		The implementation is highly optimized for performance still preserving quality.</p>

		<!-- Option panel -->
		<div class="options">
			<label for="numTension">Tension:</label>
			<input id="numTension" type="range" value="5" min="-10" max="20"/>
			<span id="numTensionValue">0.5</span>

			<label for="numSegments">Segments:</label>
			<input id="numSegments" type="range" value="25" min=1 max=100/>
			<span id="numSegmentsValue">25</span>

			<label for="chkClosed">Closed:</label>
			<input id="chkClosed" type="checkbox">

			<label for="chkPoints">Points:</label>
			<input id="chkPoints" type="checkbox" checked>

			<label for="chkFill">Fill:</label>
			<input id="chkFill" type="checkbox">

			<button onclick="randomize();renderCurve()">Randomize</button>
		</div>

		<canvas id="demoCanvas" width="1024" height="450"></canvas>

		<div class="footerl">
			&copy; by <a href="http://github.com/epistemex/">Epistemex</a>.
			<a href="https://github.com/epistemex/cardinal-spline-js/">Cardinal spline</a> is licensed with a <a href="http://opensource.org/licenses/MIT">MIT license</a>.
		</div>
		<div class="footerr">
			<img src="data:image/png;base64,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">
		</div>
	</div>

<script src="../src/curve.js"></script>
<script>

	const canvas = document.getElementById('demoCanvas');
	const ctx = canvas.getContext("2d");
	let w = canvas.width, h;
	let isDown = false, pIndex = -1;
	const pts = [];

	setCanvas();

	function setCanvas() {
		const ih = window.innerHeight;
		const r = canvas.getBoundingClientRect();
		const nh = Math.max(100, ih - r.top * 1.5);

		canvas.height = h = nh;

		ctx.translate(0.5, 0.5);
		ctx.lineJoin = 'round';

		randomize();
		renderCurve();
	}

	window.onresize = setCanvas;

	document.getElementById('numSegments').addEventListener('input', renderCurve);
	document.getElementById('numTension').addEventListener('input', renderCurve);
	document.getElementById('chkPoints').addEventListener('input', renderCurve);
	document.getElementById('chkClosed').addEventListener('input', renderCurve);
	document.getElementById('chkFill').addEventListener('input', renderCurve);

	document.getElementById('numSegments').addEventListener('change', renderCurve);
	document.getElementById('numTension').addEventListener('change', renderCurve);
	document.getElementById('chkPoints').addEventListener('change', renderCurve);
	document.getElementById('chkClosed').addEventListener('change', renderCurve);
	document.getElementById('chkFill').addEventListener('change', renderCurve);

	canvas.onmousedown = function(e) {
		const pos = getPos(e);
		let i = 0;
		let m = 5;

		pIndex = -1;
		isDown = false;

		for(; i < pts.length; i += 2) {
			if (pos.x >= pts[i] - m && pos.x < pts[i] + m &&
				pos.y >= pts[i + 1] - m && pos.y < pts[i + 1] + m) {
				isDown = true;
				pIndex = i;
			}
		}
	};

	window.onmousemove = function(e) {
		if (isDown) {
			const pos = getPos(e);
			pts[pIndex] = pos.x;
			pts[pIndex + 1] = pos.y;
			renderCurve()
		}
	};

	window.onmouseup = function() {
		isDown = false;
	};

	function getPos(e) {
		var r = canvas.getBoundingClientRect();
		return {x: e.clientX - r.left, y: e.clientY - r.top}
	}

	/*
	 *	Randomize points
	*/
	function randomize() {
		const numOfPoints = 7; //min. 2
		pts.length = 0;

		for(let i = 0; i < numOfPoints; i++) {
			pts.push((w * Math.random() * 0.9 + w * 0.05) | 0,
				(h * Math.random() * 0.9 + h * 0.05) | 0);
		}
	}

	/*
	 *	Collect options
	 */
	function CurveOptions() {
		this.closed = !!document.getElementById('chkClosed').checked;
		this.fill = !!document.getElementById('chkFill').checked;
		this.points = !!document.getElementById('chkPoints').checked;
		this.segments = +document.getElementById('numSegments').value;
		this.tension = document.getElementById('numTension').value * 0.1;
	}

	/*
	 *	Draw curve with current settings and points
	 */
	function renderCurve() {
		ctx.clearRect(0, 0, w, h);

		// get current options
		const o = new CurveOptions();

		document.getElementById('numSegmentsValue').innerHTML = o.segments;
		document.getElementById('numTensionValue').innerHTML = o.tension.toFixed(1);

		// draw our cardinal spline
		ctx.beginPath();
		ctx.moveTo(pts[0], pts[1]);
		ctx.curve(pts, o.tension, o.segments, o.closed);
		if (o.closed && !o.fill) ctx.closePath();
		ctx.strokeStyle = '#6677cc';
		ctx.lineWidth = 3;
		if (o.fill) {
			ctx.fillStyle = '#ca7';
			ctx.fill();
		}
		ctx.stroke();

		if (o.points) {
			ctx.beginPath();
			ctx.strokeStyle = '#aa0011';
			for(let i = 0; i < pts.length; i+=2) {
				ctx.rect(pts[i]-2,pts[i+1]-2,4,4);
			}
			ctx.stroke();

		}
	}

</script>
</body>
</html>


================================================
FILE: docs/global.html
================================================
<!DOCTYPE html>

<html lang="en">
<head>
	<meta charset="utf-8">
	<title>cardinal-spline-js Global</title>

	<!--[if lt IE 9]>
	<script src="//html5shiv.googlecode.com/svn/trunk/html5.js"></script>
	<![endif]-->
	<link type="text/css" rel="stylesheet" href="styles/sunlight.dark.css">

	<link type="text/css" rel="stylesheet" href="styles/site.cerulean.css">

</head>

<body>
<div class="container-fluid">
	<div class="navbar navbar-fixed-top ">
		<div class="navbar-inner">
			<a class="brand" href="index.html">cardinal-spline-js</a>
			<ul class="nav">
				
				<li class="dropdown">
					<a href="global.html" class="dropdown-toggle" data-toggle="dropdown">Global<b
						class="caret"></b></a>

					<ul class="dropdown-menu ">
						
						<li>
							<a href="global.html#curve">curve</a>
						</li>
						
						<li>
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        <h3 class="subsection-title">Methods</h3>

        <dl>
            
<dt>
    <h4 class="name" id="curve"><span class="type-signature"></span>curve<span class="signature">(ctx, points, <span class="optional">tension</span>, <span class="optional">numOfSeg</span>, <span class="optional">close</span>)</span><span class="type-signature"> &rarr; {Float32Array}</span></h4>
    
    
</dt>
<dd>
    
    
    <div class="description">
        <p>Draws a cardinal spline through given point array. Points must be arranged<br>as: [x1, y1, x2, y2, ..., xn, yn]. It adds the points to the current path.</p>
<p>There must be a minimum of two points in the input array but the function<br>is only useful where there are three points or more.</p>
<p>The method continues previous path of the context. If you don't want that<br>then you need to use moveTo() with the first point from the input array.</p>
<p>The points for the cardinal spline are returned as a new array.</p>
    </div>
    

    
    
    
    
    
        <h5>Parameters:</h5>
        

<table class="params table table-striped">
    <thead>
	<tr>
		
		<th>Name</th>
		

		<th>Type</th>

		
		<th>Argument</th>
		

		
		<th>Default</th>
		

		<th class="last">Description</th>
	</tr>
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        <tr>
            
                <td class="name"><code>ctx</code></td>
            

            <td class="type">
            
                
<span class="param-type"><a href="CanvasRenderingContext2D.html">CanvasRenderingContext2D</a></span>


            
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                <td class="attributes">
                

                

                
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                <td class="default">
                
                </td>
            

            <td class="description last"><p>context to use</p></td>
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        <tr>
            
                <td class="name"><code>points</code></td>
            

            <td class="type">
            
                
<span class="param-type">Array</span>


            
            </td>

            
                <td class="attributes">
                

                

                
                </td>
            

            
                <td class="default">
                
                </td>
            

            <td class="description last"><p>point array</p></td>
        </tr>

	

        <tr>
            
                <td class="name"><code>tension</code></td>
            

            <td class="type">
            
                
<span class="param-type">Number</span>


            
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                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
                </td>
            

            
                <td class="default">
                
                    0.5
                
                </td>
            

            <td class="description last"><p>tension. Typically between [0.0, 1.0] but can be exceeded</p></td>
        </tr>

	

        <tr>
            
                <td class="name"><code>numOfSeg</code></td>
            

            <td class="type">
            
                
<span class="param-type">Number</span>


            
            </td>

            
                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
                </td>
            

            
                <td class="default">
                
                    25
                
                </td>
            

            <td class="description last"><p>number of segments between two points (line resolution)</p></td>
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                <td class="name"><code>close</code></td>
            

            <td class="type">
            
                
<span class="param-type">Boolean</span>


            
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                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
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                <td class="default">
                
                    false
                
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            <td class="description last"><p>Close the ends making the line continuous</p></td>
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</table>

    
    
    
<dl class="details">
	

	

	

	

	

	

	

	

	



	

	

	

	
</dl>

    
    

    

    
    
    
    
    
    <h5>Returns:</h5>
    
            
<div class="param-desc">
    <p>New array with the calculated points that was added to the path</p>
</div>



<dl>
	<dt>
		Type
	</dt>
	<dd>
		
<span class="param-type">Float32Array</span>


	</dd>
</dl>


        
    
    
</dd>

        
            
<dt>
    <h4 class="name" id="getCurvePoints"><span class="type-signature"></span>getCurvePoints<span class="signature">(points, <span class="optional">tension</span>, <span class="optional">numOfSeg</span>, <span class="optional">close</span>)</span><span class="type-signature"> &rarr; {Float32Array}</span></h4>
    
    
</dt>
<dd>
    
    
    <div class="description">
        <p>Calculates an array containing points representing a cardinal spline through given point array.<br>Points must be arranged as: [x1, y1, x2, y2, ..., xn, yn].</p>
<p>There must be a minimum of two points in the input array but the function<br>is only useful where there are three points or more.</p>
<p>The points for the cardinal spline are returned as a new array.</p>
    </div>
    

    
    
    
    
    
        <h5>Parameters:</h5>
        

<table class="params table table-striped">
    <thead>
	<tr>
		
		<th>Name</th>
		

		<th>Type</th>

		
		<th>Argument</th>
		

		
		<th>Default</th>
		

		<th class="last">Description</th>
	</tr>
	</thead>

	<tbody>
	

        <tr>
            
                <td class="name"><code>points</code></td>
            

            <td class="type">
            
                
<span class="param-type">Array</span>


            
            </td>

            
                <td class="attributes">
                

                

                
                </td>
            

            
                <td class="default">
                
                </td>
            

            <td class="description last"><p>point array</p></td>
        </tr>

	

        <tr>
            
                <td class="name"><code>tension</code></td>
            

            <td class="type">
            
                
<span class="param-type">Number</span>


            
            </td>

            
                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
                </td>
            

            
                <td class="default">
                
                    0.5
                
                </td>
            

            <td class="description last"><p>tension. Typically between [0.0, 1.0] but can be exceeded</p></td>
        </tr>

	

        <tr>
            
                <td class="name"><code>numOfSeg</code></td>
            

            <td class="type">
            
                
<span class="param-type">Number</span>


            
            </td>

            
                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
                </td>
            

            
                <td class="default">
                
                    25
                
                </td>
            

            <td class="description last"><p>number of segments between two points (line resolution)</p></td>
        </tr>

	

        <tr>
            
                <td class="name"><code>close</code></td>
            

            <td class="type">
            
                
<span class="param-type">Boolean</span>


            
            </td>

            
                <td class="attributes">
                
                    &lt;optional><br>
                

                

                
                </td>
            

            
                <td class="default">
                
                    false
                
                </td>
            

            <td class="description last"><p>Close the ends making the line continuous</p></td>
        </tr>

	
	</tbody>
</table>

    
    
    
<dl class="details">
	

	

	

	

	

	

	

	

	



	

	

	

	
</dl>

    
    

    

    
    
    
    
    
    <h5>Returns:</h5>
    
            
<div class="param-desc">
    <p>New array with the calculated points that was added to the path</p>
</div>



<dl>
	<dt>
		Type
	</dt>
	<dd>
		
<span class="param-type">Float32Array</span>


	</dd>
</dl>


        
    
    
</dd>

        </dl>
    

    

    
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    <section class="readme-section">
        <article><h1>Cardinal spline</h1><p>A Cardinal spline (basically a Catmull-Rom with a tension option)<br>implementation for  JavaScript/HTML5 which creates an interpolated<br>smooth curve through each point pair in the given array. There is no<br>need to specify control points.</p>
<p><img src="https://i.imgur.com/5e69T5C.png" alt="Demo snapshot"></p>
<p>Additional options are to provide a closed spline as well as segment<br>resolution (between each point) and of course a tension value.</p>
<p>The archive comes with three separate versions for the sake of convenience:</p>
<p><strong>curve.js</strong><br><br>Canvas 2D context extension. Call curve() on the context (ctx.curve(...))</p>
<p><strong>curve_func.js</strong><br><br>If you prefer not to use an extension then this version provide a pure<br>function that takes the context as an argument instead.</p>
<p><strong>curve_calc.js</strong><br><br>Just the internal function that calculates the points. Does not draw<br>anything.</p>
<p>As well as their minified equivalent. There are no dependencies between<br>these implementations.</p>
<h1>Install</h1><ul>
<li>Git using HTTPS: <code>git clone https://gitlab.com/epistemex/cardinal-spline-js.git</code></li>
<li>Git using SSH: <code>git clone git@gitlab.com:epistemex/cardinal-spline-js.git</code></li>
<li>Bower: <code>bower install cardinal-spline-js</code></li>
<li>NPM: <code>npm install cardinal-spline-js</code> (curve_calc.js / curve_func.js)</li>
</ul>
<h1>Usage</h1><h2>curve.js</h2><p>Make sure the script is loaded before a 2D context is obtained from the canvas element.</p>
<p>Then use <code>curve()</code> as any other method/function on the context -</p>
<p><strong>Examples</strong></p>
<pre class="prettyprint source"><code>ctx.moveTo(points[0], points[1]);  // optionally move to first point
ctx.curve(points);                 // add cardinal spline to path
ctx.stroke();                      // stroke path</code></pre><p>will draw the points in the array which are arranged in the following manner:</p>
<pre class="prettyprint source"><code>var points = [x1, y1,  x2, y2, ... xn, yn];</code></pre><p>An optional tension value can be given <em>(default: 0.5)</em>:</p>
<pre class="prettyprint source"><code>ctx.curve(points, 0.5);            // sets tension [0.0, 1.0] +/-</code></pre><p>a segment resolution value <em>(default: 25)</em>:</p>
<pre class="prettyprint source"><code>ctx.curve(points, 0.5, 25);        // points in each segment</code></pre><p>The curve can be drawn closed. All arguments must be given in this<br>case <em>(default: false (open))</em>:</p>
<pre class="prettyprint source"><code>ctx.curve(points, 0.5, 25, true);  // make a closed loop</code></pre><p>The function returns a new (typed) array with the spline points which can be used for<br>tracking, calculate length and so forth. The values are in floating points:</p>
<pre class="prettyprint source"><code>var splinePoints = ctx.curve(points);</code></pre><h2>curve_func.js</h2><p>If you use the function file instead the arguments will be the same as<br>above except that the context is passed in as the first argument and<br>then the function is instead called as:</p>
<pre class="prettyprint source"><code>ctx.moveTo(points[0], points[1]);  // optionally move to first point
curve(ctx, points);                // add cardinal spline to path
ctx.stroke();                      // stroke path</code></pre><p>Also this variant returns a spline point array.</p>
<h2>curve_calc.js</h2><p>If you just want to calculate the spline points without drawing anything,<br>you can use the <code>curve_calc.js</code> file and call (please observe that the<br>name has been changed to better reflect its purpose):</p>
<pre class="prettyprint source"><code>var splinePoints = getCurvePoints(points, ...);</code></pre><p>Context is not required with this function.</p>
<h2>In Node.js</h2><p>Require the package after installing it using npm, then:</p>
<pre class="prettyprint source"><code>var getCurvePoints = require(&quot;cardinal-spline-js&quot;).getCurvePoints;
var outPoints = getCurvePoints(inPoints);</code></pre><h1>Requirements</h1><p>A modern HTML5 compliant browser with support for Typed Arrays and<br>JavaScript enabled. Except from <code>curve_calc.js</code> the canvas element and<br>a 2D context is required as well.</p>
<h1>License</h1><p>Released under <a href="http://choosealicense.com/licenses/mit/">MIT license</a>. You can use this class in both commercial and non-commercial projects provided that full header (minified and developer versions) is included.</p>
<p><em>&copy; 2013-2018 Epistemex</em></p>
<p><img src="https://i.imgur.com/wZSsyt8.png" alt="Epistemex"></p></article>
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================================================
FILE: docs/scripts/toc.js
================================================
(function($) {
$.fn.toc = function(options) {
  var self = this;
  var opts = $.extend({}, jQuery.fn.toc.defaults, options);

  var container = $(opts.container);
  var headings = $(opts.selectors, container);
  var headingOffsets = [];
  var activeClassName = opts.prefix+'-active';
  var navbarHeight = $('.navbar').height();

  var scrollTo = function(e) {
    if (opts.smoothScrolling) {
      e.preventDefault();
      var elScrollTo = $(e.target).attr('href');
      var $el = $(elScrollTo);
      var offsetTop = $el.offset().top - navbarHeight;

      $('body,html').animate({ scrollTop: offsetTop }, 400, 'swing', function() {
        location.hash = elScrollTo;
      });
    }
    $('li', self).removeClass(activeClassName);
    $(e.target).parent().addClass(activeClassName);
  };

  //highlight on scroll
  var timeout;
  var highlightOnScroll = function(e) {
    if (timeout) {
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    }
    timeout = setTimeout(function() {
      var top = $(window).scrollTop(),
        highlighted;
      for (var i = 0, c = headingOffsets.length; i < c; i++) {
        if (headingOffsets[i] >= top) {
          $('li', self).removeClass(activeClassName);
          if (i > 0) {
            highlighted = $('li:eq('+(i-1)+')', self).addClass(activeClassName);
            opts.onHighlight(highlighted);
          }
          break;
        }
      }
    }, 50);
  };
  if (opts.highlightOnScroll) {
    $(window).bind('scroll', highlightOnScroll);
    highlightOnScroll();
  }

  return this.each(function() {
    //build TOC
    var el = $(this);
    var ul = $('<ul/>');
    headings.each(function(i, heading) {
      var $h = $(heading);
      headingOffsets.push($h.offset().top - opts.highlightOffset);

      //add anchor
      var anchor = $('<span/>').attr('id', opts.anchorName(i, heading, opts.prefix)).insertBefore($h);

      //build TOC item
      var a = $('<a/>')
        .text(opts.headerText(i, heading, $h))
        .attr('href', '#' + opts.anchorName(i, heading, opts.prefix))
        .bind('click', function(e) { 
          scrollTo(e);
          el.trigger('selected', $(this).attr('href'));
        });

      var li = $('<li/>')
        .addClass(opts.itemClass(i, heading, $h, opts.prefix))
        .append(a);

      ul.append(li);
    });
    el.html(ul);
  });
};


jQuery.fn.toc.defaults = {
  container: 'body',
  selectors: 'h1,h2,h3',
  smoothScrolling: true,
  prefix: 'toc',
  onHighlight: function() {},
  highlightOnScroll: true,
  highlightOffset: 100,
  anchorName: function(i, heading, prefix) {
    return prefix+i;
  },
  headerText: function(i, heading, $heading) {
    return $heading.text();
  },
  itemClass: function(i, heading, $heading, prefix) {
    return prefix + '-' + $heading[0].tagName.toLowerCase();
  }

};

})(jQuery);


================================================
FILE: docs/styles/sunlight.default.css
================================================
/* global styles */
.sunlight-container {
	clear: both !important;
	position: relative !important;
	margin: 10px 0 !important;
}
.sunlight-code-container {
	clear: both !important;
	position: relative !important;
	border: none;
	border-color: #969696 !important;
	background-color: #FFFFFF !important;
}
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	font-family: Consolas, Inconsolata, Monaco, "Courier New" !important;
	font-size: 12px !important;
	line-height: 15px !important;
}
.sunlight-highlighted, .sunlight-container textarea {
	color: #000000 !important;
	margin: 0 !important;
}
.sunlight-container textarea {
	padding-left: 0 !important;
	margin-left: 0 !important;
	margin-right: 0 !important;
	padding-right: 0 !important;
}
.sunlight-code-container > .sunlight-highlighted {
	white-space: pre;
	overflow-x: auto;
	overflow-y: hidden; /* ie requires this wtf? */
}
.sunlight-highlighted {
	z-index: 1;
	position: relative;
}
.sunlight-highlighted * {
	background: transparent;
}
.sunlight-line-number-margin {
	float: left !important;
	margin-right: 5px !important;
	margin-top: 0 !important;
	margin-bottom: 0 !important;
	padding: 0 !important;
	padding-right: 4px !important;
	padding-left: 4px !important;
	border-right: 1px solid #CCCCCC !important;
	background-color: #EEEEEE !important;
	color: #848484 !important;
	text-align: right !important;
	position: relative;
	z-index: 3;
}
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	border: none !important;
	text-decoration: none !important;
	font-weight: normal !important;
	font-style: normal !important;
	padding: 0 !important;
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	color: inherit !important;
}
.sunlight-line-highlight-overlay {
	position: absolute;
	top: 0;
	left: 0;
	width: 100%;
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}
.sunlight-line-highlight-overlay div {
	height: 15px;
	width: 100%;
}
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	background-color: #E7FCFA;
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/* menu */
.sunlight-menu {
	background-color: #FFFFCC;
	color: #000000;
}
.sunlight-menu ul {
	margin: 0 !important;
	padding: 0 !important;
	list-style-type: none !important;
}
.sunlight-menu li {
	float: right !important;
	margin-left: 5px !important;
}
.sunlight-menu a, .sunlight-menu img {
	color: #000099 !important;
	text-decoration: none !important;
	border: none !important;
}




.sunlight-string,
.sunlight-char,
.sunlight-heredoc,
.sunlight-heredocDeclaration,
.sunlight-nowdoc,
.sunlight-longString,
.sunlight-rawString,
.sunlight-binaryString,
.sunlight-rawLongString,
.sunlight-binaryLongString,
.sunlight-verbatimString,
.sunlight-diff .sunlight-removed {
	color: #990000 !important;
}

.sunlight-ident,
.sunlight-operator,
.sunlight-punctuation,
.sunlight-delimiter,
.sunlight-diff .sunlight-unchanged {
	color: #000000 !important;
}

.sunlight-comment,
.sunlight-xmlDocCommentContent,
.sunlight-nginx .sunlight-ssiCommand,
.sunlight-sln .sunlight-formatDeclaration,
.sunlight-diff .sunlight-added {
	color: #009900 !important;
}
.sunlight-number,
.sunlight-guid,
.sunlight-cdata {
	color: #CC6600 !important;
}

.sunlight-named-ident,
.sunlight-constant,
.sunlight-javascript .sunlight-globalVariable,
.sunlight-globalObject,
.sunlight-python .sunlight-attribute,
.sunlight-nginx .sunlight-context,
.sunlight-httpd .sunlight-context,
.sunlight-haskell .sunlight-class,
.sunlight-haskell .sunlight-type,
.sunlight-lisp .sunlight-declarationSpecifier,
.sunlight-erlang .sunlight-userDefinedFunction,
.sunlight-diff .sunlight-header {
	color: #2B91AF !important;
}
.sunlight-keyword,
.sunlight-languageConstruct,
.sunlight-css
.sunlight-element,
.sunlight-bash .sunlight-command,
.sunlight-specialOperator,
.sunlight-erlang .sunlight-moduleAttribute,
.sunlight-xml .sunlight-tagName,
.sunlight-xml .sunlight-operator,
.sunlight-diff .sunlight-modified {
	color: #0000FF !important;
}
.sunlight-shortOpenTag,
.sunlight-openTag,
.sunlight-closeTag,
.sunlight-xmlOpenTag,
.sunlight-xmlCloseTag,
.sunlight-aspOpenTag,
.sunlight-aspCloseTag,
.sunlight-label,
.sunlight-css .sunlight-importantFlag {
	background-color: #FFFF99 !important;
	color: #000000 !important;
}
.sunlight-function,
.sunlight-globalFunction,
.sunlight-ruby .sunlight-specialFunction,
.sunlight-objective-c .sunlight-messageDestination,
.sunlight-6502asm .sunlight-illegalOpcode,
.sunlight-powershell .sunlight-switch,
.sunlight-lisp .sunlight-macro,
.sunlight-lisp .sunlight-specialForm,
.sunlight-lisp .sunlight-type,
.sunlight-sln .sunlight-sectionName,
.sunlight-diff .sunlight-rangeInfo {
	color: #B069AF !important;
}

.sunlight-variable,
.sunlight-specialVariable,
.sunlight-environmentVariable,
.sunlight-objective-c .sunlight-messageArgumentName,
.sunlight-lisp .sunlight-globalVariable,
.sunlight-ruby .sunlight-globalVariable,
.sunlight-ruby .sunlight-instanceVariable,
.sunlight-sln .sunlight-operator {
	color: #325484 !important;
}
.sunlight-regexLiteral,
.sunlight-lisp .sunlight-operator,
.sunlight-6502asm .sunlight-pseudoOp,
.sunlight-erlang .sunlight-macro {
	color: #FF00B2 !important;
}
.sunlight-specialVariable {
	font-style: italic !important;
	font-weight: bold !important;
}
.sunlight-csharp .sunlight-pragma,
.sunlight-preprocessorDirective,
.sunlight-vb .sunlight-compilerDirective,
.sunlight-diff .sunlight-mergeHeader,
.sunlight-diff .sunlight-noNewLine {
	color: #999999 !important;
	font-style: italic !important;
}
.sunlight-xmlDocCommentMeta,
.sunlight-java .sunlight-annotation,
.sunlight-scala .sunlight-annotation,
.sunlight-docComment {
	color: #808080 !important;
}
.sunlight-quotedIdent,
.sunlight-ruby .sunlight-subshellCommand,
.sunlight-lisp .sunlight-keywordArgument,
.sunlight-haskell .sunlight-infixOperator,
.sunlight-erlang .sunlight-quotedAtom {
	color: #999900 !important;
}



/* xml */
.sunlight-xml .sunlight-string {
	color: #990099 !important;
}
.sunlight-xml .sunlight-attribute {
	color: #FF0000 !important;
}
.sunlight-xml .sunlight-entity {
	background-color: #EEEEEE !important;
	color: #000000 !important;
	border: 1px solid #000000 !important;
}
.sunlight-xml .sunlight-doctype {
	color: #2B91AF !important;
}

/* javascript */
.sunlight-javascript .sunlight-reservedWord {
	font-style: italic !important;
}

/* css */
.sunlight-css .sunlight-microsoftFilterPrefix {
	color: #FF00FF !important;
}
.sunlight-css .sunlight-rule {
	color: #0099FF !important;
}
.sunlight-css .sunlight-keyword {
	color: #4E65B8 !important;
}
.sunlight-css .sunlight-class {
	color: #FF0000 !important;
}
.sunlight-css .sunlight-id {
	color: #8A8E13 !important;
}
.sunlight-css .sunlight-pseudoClass,
.sunlight-css .sunlight-pseudoElement {
	color: #368B87 !important;
}

/* bash */
.sunlight-bash .sunlight-hashBang {
	color: #3D97F5 !important;
}
.sunlight-bash .sunlight-verbatimCommand {
	color: #999900 !important;
}
.sunlight-bash .sunlight-variable,
.sunlight-bash .sunlight-specialVariable {
	color: #FF0000 !important;
}

/* python */
.sunlight-python .sunlight-specialMethod {
	font-weight: bold !important;
	color: #A07DD3;
}

/* ruby */
.sunlight-ruby .sunlight-symbol {
	font-weight: bold !important;
	color: #ED7272 !important;
}

/* brainfuck */
.sunlight-brainfuck {
	font-weight: bold !important;
	color: #000000 !important;
}
.sunlight-brainfuck .sunlight-increment {
	background-color: #FF9900 !important;
}
.sunlight-brainfuck .sunlight-decrement {
	background-color: #FF99FF !important;
}
.sunlight-brainfuck .sunlight-incrementPointer {
	background-color: #FFFF99 !important;
}
.sunlight-brainfuck .sunlight-decrementPointer {
	background-color: #66CCFF !important;
}
.sunlight-brainfuck .sunlight-read {
	background-color: #FFFFFF !important;
}
.sunlight-brainfuck .sunlight-write {
	background-color: #99FF99 !important;
}
.sunlight-brainfuck .sunlight-openLoop, .sunlight-brainfuck .sunlight-closeLoop {
	background-color: #FFFFFF !important;
}

/* 6502 asm */
.sunlight-6502asm .sunlight-label {
	font-weight: bold !important;
	color: #000000 !important;
	background: none !important;
}

/* lisp */
.sunlight-lisp .sunlight-macro {
	font-style: italic !important;
}

/* erlang */
.sunlight-erlang .sunlight-atom {
	font-weight: bold !important;
}

================================================
FILE: package.json
================================================
{
  "name": "cardinal-spline-js",
  "version": "3.0.0",
  "description": "Smooth curve through points with tension and resolution options.",
  "main": "curve_calc.min.js",
  "scripts": {
    "test": "echo \"Error: no test specified\" && exit 1"
  },
  "repository": {
    "type": "git",
    "url": "https://github.com/epistemex/cardinal-spline-js.git"
  },
  "keywords": [
    "cardinal",
    "spline",
    "catmull",
    "rom"
  ],
  "author": "epistemex <70324091+epistemex@users.noreply.github.com>",
  "license": "MIT",
  "files": [
    "src/",
    "demos/",
    "docs/",
    "package.json",
    "README.md",
    "curve.min.js",
    "curve_calc.min.js",
    "curve_func.min.js",
    "MIT-LICENSE.md",
    "CHANGE.log"
  ],
  "bugs": {
    "url": "https://github.com/epistemex/cardinal-spline-js/issues"
  },
  "homepage": "https://github.com/epistemex/cardinal-spline-js#readme"
}


================================================
FILE: src/curve.js
================================================
/*!	Curve patch for canvas 2D drawing context 3.0.1
 *	(c) Epistemex 2013-2018, 2024
 *	License: MIT
 */

'use strict';

/**
 * Draws a cardinal spline through given point array. Points must be arranged
 * as: [x1, y1, x2, y2, ..., xn, yn]. It adds the points to the current path.
 *
 * There must be a minimum of two points in the input array but the function
 * is only useful where there are three points or more.
 *
 * This method continues previous path of the context. If you don't want that
 * then you need to use moveTo() with the first point from the input array or
 * call on a cleared path.
 *
 * The points for the cardinal spline are returned as a new array.
 *
 * @param {Array} points - point array
 * @param {Number} [tension=0.5] - tension. Typically between [0.0, 1.0] but can be exceeded
 * @param {Number} [numOfSeg=25] - number of segments between two points (line resolution)
 * @param {Boolean} [close=false] - Close the ends making the line continuous
 * @returns {Float32Array} New array with the calculated points that was added to the path
 */
CanvasRenderingContext2D.prototype.curve = CanvasRenderingContext2D.prototype.curve || function(points, tension, numOfSeg, close) {

	if (typeof points === "undefined" || points.length < 2) {
		return new Float32Array(0);
	}

	// options or defaults
	tension = typeof tension === "number" ? tension : 0.5;
	numOfSeg = (typeof numOfSeg === "number" ? numOfSeg : 25) | 0;

	if (numOfSeg < 1) {
		throw new Error('Number of segments cannot be less than one.');
	}

	let ptsClone;                                                       // for cloning point array
	let i = 1;
	let l = points.length;
	let resPos = 0;
	let cachePtr = 4;

	const resLength = (l - 2) * numOfSeg + 2 + (closed ? 2 * numOfSeg : 0);
	const result = new Float32Array(resLength);
	const cache = new Float32Array((numOfSeg + 2) << 2);

	ptsClone = points.slice(0);

	if (closed) {
		ptsClone.unshift(points[l - 1]);                                // insert end point as first point
		ptsClone.unshift(points[l - 2]);
		ptsClone.push(points[0], points[1]);                            // first point as last point
	}
	else {
		ptsClone.unshift(points[1]);                                    // copy 1. point and insert at beginning
		ptsClone.unshift(points[0]);
		ptsClone.push(points[l - 2], points[l - 1]);                    // duplicate end-points
	}

	// cache inner-loop calculations as they are based on t alone
	cache[0] = 1;                                                       // 1,0,0,0

	for(; i < numOfSeg; i++) {
		const st = i / numOfSeg;
		const st2 = st * st;
		const st3 = st2 * st;
		const st23 = st3 * 2;
		const st32 = st2 * 3;

		cache[cachePtr++] = st23 - st32 + 1;                            // c1
		cache[cachePtr++] = st32 - st23;                                // c2
		cache[cachePtr++] = st3 - 2 * st2 + st;                         // c3
		cache[cachePtr++] = st3 - st2;                                  // c4
	}

	cache[++cachePtr] = 1;                                              // 0,1,0,0

	// calc. points

	fill(ptsClone, cache, l, tension);

	if (closed) {
		//l = points.length;
		ptsClone = [];
		ptsClone.push(points[l - 4], points[l - 3],
			points[l - 2], points[l - 1],                               // second last and last
			points[0], points[1],
			points[2], points[3]);                                      // first and second
		fill(ptsClone, cache, 4, tension);
	}

	function fill(pts, cache, l, tension) {
		for(let i = 2; i < l; i += 2) {
			const pt1 = pts[i];                                         // x1
			const pt2 = pts[i + 1];                                     // y1
			const pt3 = pts[i + 2];                                     // x2
			const pt4 = pts[i + 3];                                     // y2

			const t1x = (pt3 - pts[i - 2]) * tension;                   // x2-x0
			const t1y = (pt4 - pts[i - 1]) * tension;                   // y2-y0
			const t2x = (pts[i + 4] - pt1) * tension;                   // x3-x1
			const t2y = (pts[i + 5] - pt2) * tension;                   // y3-y1
			let c = 0, c1, c2, c3, c4;

			for(let t = 0; t < numOfSeg; t++) {
				c1 = cache[c++];
				c2 = cache[c++];
				c3 = cache[c++];
				c4 = cache[c++];

				result[resPos++] = c1 * pt1 + c2 * pt3 + c3 * t1x + c4 * t2x;
				result[resPos++] = c1 * pt2 + c2 * pt4 + c3 * t1y + c4 * t2y;
			}
		}
	}

	// append last point
	l = closed ? 0 : points.length - 2;
	result[resPos++] = points[l++];
	result[resPos] = points[l];

	// add lines to path
	for(i = 0, l = result.length; i < l; i += 2)
		this.lineTo(result[i], result[i+1]);

	return result
};


================================================
FILE: src/curve_calc.js
================================================
/*!	Curve calc function for canvas 3.0.1
 *	(c) Epistemex 2013-2018, 2024
 *	License: MIT
 */

'use strict';

/**
 * Calculates an array containing points representing a cardinal spline through given point array.
 * Points must be arranged as: [x1, y1, x2, y2, ..., xn, yn].
 *
 * There must be a minimum of two points in the input array but the function
 * is only useful where there are three points or more.
 *
 * The points for the cardinal spline are returned as a new array.
 *
 * @param {Array} points - point array
 * @param {Number} [tension=0.5] - tension. Typically between [0.0, 1.0] but can be exceeded
 * @param {Number} [numOfSeg=25] - number of segments between two points (line resolution)
 * @param {Boolean} [closed=false] - Close the ends making the line continuous
 * @returns {Float32Array} New array with the calculated points that was added to the path
 */
function getCurvePoints(points, tension, numOfSeg, closed) {

	if (typeof points === "undefined" || points.length < 2) {
		return new Float32Array(0);
	}

	// options or defaults
	tension = typeof tension === "number" ? tension : 0.5;
	numOfSeg = (typeof numOfSeg === "number" ? numOfSeg : 25) | 0;

	if (numOfSeg < 1) {
		throw new Error('Number of segments cannot be less than one.');
	}

	let ptsClone;                                                       // for cloning point array
	let i = 1;
	let l = points.length;
	let resPos = 0;
	let cachePtr = 4;

	const resLength = (l - 2) * numOfSeg + 2 + (closed ? 2 * numOfSeg : 0);
	const result = new Float32Array(resLength);
	const cache = new Float32Array((numOfSeg + 2) << 2);

	ptsClone = points.slice(0);

	if (closed) {
		ptsClone.unshift(points[l - 1]);                                // insert end point as first point
		ptsClone.unshift(points[l - 2]);
		ptsClone.push(points[0], points[1]);                            // first point as last point
	}
	else {
		ptsClone.unshift(points[1]);                                    // copy 1. point and insert at beginning
		ptsClone.unshift(points[0]);
		ptsClone.push(points[l - 2], points[l - 1]);                    // duplicate end-points
	}

	// cache inner-loop calculations as they are based on t alone
	cache[0] = 1;                                                       // 1,0,0,0

	for(; i < numOfSeg; i++) {
		const st = i / numOfSeg;
		const st2 = st * st;
		const st3 = st2 * st;
		const st23 = st3 * 2;
		const st32 = st2 * 3;

		cache[cachePtr++] = st23 - st32 + 1;                            // c1
		cache[cachePtr++] = st32 - st23;                                // c2
		cache[cachePtr++] = st3 - 2 * st2 + st;                         // c3
		cache[cachePtr++] = st3 - st2;                                  // c4
	}

	cache[++cachePtr] = 1;                                              // 0,1,0,0

	// calc. points

	fill(ptsClone, cache, l, tension);

	if (closed) {
		//l = points.length;
		ptsClone = [];
		ptsClone.push(points[l - 4], points[l - 3],
			points[l - 2], points[l - 1],                               // second last and last
			points[0], points[1],
			points[2], points[3]);                                      // first and second
		fill(ptsClone, cache, 4, tension);
	}

	function fill(pts, cache, l, tension) {
		for(let i = 2; i < l; i += 2) {
			const pt1 = pts[i];                                         // x1
			const pt2 = pts[i + 1];                                     // y1
			const pt3 = pts[i + 2];                                     // x2
			const pt4 = pts[i + 3];                                     // y2

			const t1x = (pt3 - pts[i - 2]) * tension;                   // x2-x0
			const t1y = (pt4 - pts[i - 1]) * tension;                   // y2-y0
			const t2x = (pts[i + 4] - pt1) * tension;                   // x3-x1
			const t2y = (pts[i + 5] - pt2) * tension;                   // y3-y1
			let c = 0, c1, c2, c3, c4;

			for(let t = 0; t < numOfSeg; t++) {
				c1 = cache[c++];
				c2 = cache[c++];
				c3 = cache[c++];
				c4 = cache[c++];

				result[resPos++] = c1 * pt1 + c2 * pt3 + c3 * t1x + c4 * t2x;
				result[resPos++] = c1 * pt2 + c2 * pt4 + c3 * t1y + c4 * t2y;
			}
		}
	}

	// append last point
	l = closed ? 0 : points.length - 2;
	result[resPos++] = points[l++];
	result[resPos] = points[l];

	return result
}

// node support
if (typeof exports !== "undefined") {
	module.exports.getCurvePoints = getCurvePoints;
}


================================================
FILE: src/curve_draw.js
================================================
/*!	Curve function for canvas 3.0.1
 *	(c) Epistemex 2013-2018, 2024
 *	License: MIT
 */

'use strict';

/**
 * Draws a cardinal spline through given point array. Points must be arranged
 * as: [x1, y1, x2, y2, ..., xn, yn]. It adds the points to the current path.
 *
 * There must be a minimum of two points in the input array but the function
 * is only useful where there are three points or more.
 *
 * The method continues previous path of the context. If you don't want that
 * then you need to use moveTo() with the first point from the input array.
 *
 * The points for the cardinal spline are returned as a new array.
 *
 * @param {CanvasRenderingContext2D} ctx - context to use
 * @param {Array} points - point array
 * @param {Number} [tension=0.5] - tension. Typically between [0.0, 1.0] but can be exceeded
 * @param {Number} [numOfSeg=25] - number of segments between two points (line resolution)
 * @param {Boolean} [close=false] - Close the ends making the line continuous
 * @returns {Float32Array} New array with the calculated points that was added to the path
 */
function curve(ctx, points, tension, numOfSeg, close) {

	if (typeof points === "undefined" || points.length < 2) {
		return new Float32Array(0);
	}

	// options or defaults
	tension = typeof tension === "number" ? tension : 0.5;
	numOfSeg = (typeof numOfSeg === "number" ? numOfSeg : 25) | 0;

	if (numOfSeg < 1) {
		throw new Error('Number of segments cannot be less than one.');
	}

	let ptsClone;                                                       // for cloning point array
	let i = 1;
	let l = points.length;
	let resPos = 0;
	let cachePtr = 4;

	const resLength = (l - 2) * numOfSeg + 2 + (closed ? 2 * numOfSeg : 0);
	const result = new Float32Array(resLength);
	const cache = new Float32Array((numOfSeg + 2) << 2);

	ptsClone = points.slice(0);

	if (closed) {
		ptsClone.unshift(points[l - 1]);                                // insert end point as first point
		ptsClone.unshift(points[l - 2]);
		ptsClone.push(points[0], points[1]);                            // first point as last point
	}
	else {
		ptsClone.unshift(points[1]);                                    // copy 1. point and insert at beginning
		ptsClone.unshift(points[0]);
		ptsClone.push(points[l - 2], points[l - 1]);                    // duplicate end-points
	}

	// cache inner-loop calculations as they are based on t alone
	cache[0] = 1;                                                       // 1,0,0,0

	for(; i < numOfSeg; i++) {
		const st = i / numOfSeg;
		const st2 = st * st;
		const st3 = st2 * st;
		const st23 = st3 * 2;
		const st32 = st2 * 3;

		cache[cachePtr++] = st23 - st32 + 1;                            // c1
		cache[cachePtr++] = st32 - st23;                                // c2
		cache[cachePtr++] = st3 - 2 * st2 + st;                         // c3
		cache[cachePtr++] = st3 - st2;                                  // c4
	}

	cache[++cachePtr] = 1;                                              // 0,1,0,0

	// calc. points

	fill(ptsClone, cache, l, tension);

	if (closed) {
		//l = points.length;
		ptsClone = [];
		ptsClone.push(points[l - 4], points[l - 3],
			points[l - 2], points[l - 1],                               // second last and last
			points[0], points[1],
			points[2], points[3]);                                      // first and second
		fill(ptsClone, cache, 4, tension);
	}

	function fill(pts, cache, l, tension) {
		for(let i = 2; i < l; i += 2) {
			const pt1 = pts[i];                                         // x1
			const pt2 = pts[i + 1];                                     // y1
			const pt3 = pts[i + 2];                                     // x2
			const pt4 = pts[i + 3];                                     // y2

			const t1x = (pt3 - pts[i - 2]) * tension;                   // x2-x0
			const t1y = (pt4 - pts[i - 1]) * tension;                   // y2-y0
			const t2x = (pts[i + 4] - pt1) * tension;                   // x3-x1
			const t2y = (pts[i + 5] - pt2) * tension;                   // y3-y1
			let c = 0, c1, c2, c3, c4;

			for(let t = 0; t < numOfSeg; t++) {
				c1 = cache[c++];
				c2 = cache[c++];
				c3 = cache[c++];
				c4 = cache[c++];

				result[resPos++] = c1 * pt1 + c2 * pt3 + c3 * t1x + c4 * t2x;
				result[resPos++] = c1 * pt2 + c2 * pt4 + c3 * t1y + c4 * t2y;
			}
		}
	}

	// append last point
	l = closed ? 0 : points.length - 2;
	result[resPos++] = points[l++];
	result[resPos] = points[l];

	// add lines to path
	for(i = 0, l = result.length; i < l; i += 2)
		ctx.lineTo(result[i], result[i+1]);

	return result
}

if (typeof exports !== "undefined") exports.curve = curve;