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2021-04-09 09:40:50 -07:00
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56
docs/index.html
View File

@@ -38,7 +38,7 @@
<meta property="og:locale" content="en-GB" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-03-26T00:54:44+00:00" />
<meta property="og:updated_time" content="2021-04-09T16:39:33+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -155,10 +155,6 @@
<h2>Donations and sponsorship</h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
<p>
If this is a resource that you're using for research, as work reference, or even writing your own software, please consider
<a href="https://www.paypal.com/donate/?cmd=_s-xclick&hosted_button_id=3BNHGHZAS3DP6&locale.x=en_CA">donating</a> (any amount helps) or
@@ -171,13 +167,25 @@
sponsoring the site! I am more than happy to work with your finance department on sponsorship invoicing and recognition.
</p>
<h3>Bitcoin donations:</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
<div class="btcfh">
<div>
<h3>
Bitcoin donations:
</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves"
>3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a
>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
</div>
</div>
<br style="clear: both;" />
@@ -5886,13 +5894,9 @@ lli = function(line1, line2):
>,<em>C<sub>2.2</sub></em
>).
</li>
<li>
For each pair, check whether their bounding boxes overlap.
<ol>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
</ol>
</li>
<li>For each pair, check whether their bounding boxes overlap.</li>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
<li>
Once the sub-curves we form are so small that they effectively occupy sub-pixel areas, we consider an intersection found, noting that we
might have a cluster of multiple intersections at the sub-pixel level, out of which we pick one to act as "found" <code>t</code> value
@@ -9197,13 +9201,13 @@ for p = 1 to points.length-3 (inclusive):
</p>
<ol>
<li>We start with <code>low=0</code>, <code>mid=0.5</code> and <code>high=1</code></li>
<li>
That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
</li>
<li>That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code></li>
</ol>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
<ol start="3">
<li>
We keep doing this over and over until we have two arcs, in sequence, of which the first arc is good, and the second arc is bad. When we
find that pair, we've found the boundary between a good approximation and a bad approximation, and we pick the good arc.

56
docs/ja-JP/index.html
View File

@@ -41,7 +41,7 @@
<meta property="og:locale" content="ja-JP" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-03-26T00:54:44+00:00" />
<meta property="og:updated_time" content="2021-04-09T16:39:33+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -158,10 +158,6 @@
<h2>Donations and sponsorship</h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
<p>
If this is a resource that you're using for research, as work reference, or even writing your own software, please consider
<a href="https://www.paypal.com/donate/?cmd=_s-xclick&hosted_button_id=3BNHGHZAS3DP6&locale.x=en_CA">donating</a> (any amount helps) or
@@ -174,13 +170,25 @@
sponsoring the site! I am more than happy to work with your finance department on sponsorship invoicing and recognition.
</p>
<h3>Bitcoin donations:</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
<div class="btcfh">
<div>
<h3>
Bitcoin donations:
</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves"
>3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a
>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
</div>
</div>
<br style="clear: both;" />
@@ -5992,13 +6000,9 @@ lli = function(line1, line2):
>,<em>C<sub>2.2</sub></em
>).
</li>
<li>
For each pair, check whether their bounding boxes overlap.
<ol>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
</ol>
</li>
<li>For each pair, check whether their bounding boxes overlap.</li>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
<li>
Once the sub-curves we form are so small that they effectively occupy sub-pixel areas, we consider an intersection found, noting that we
might have a cluster of multiple intersections at the sub-pixel level, out of which we pick one to act as "found" <code>t</code> value
@@ -9422,13 +9426,13 @@ for p = 1 to points.length-3 (inclusive):
</p>
<ol>
<li>We start with <code>low=0</code>, <code>mid=0.5</code> and <code>high=1</code></li>
<li>
That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
</li>
<li>That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code></li>
</ol>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
<ol start="3">
<li>
We keep doing this over and over until we have two arcs, in sequence, of which the first arc is good, and the second arc is bad. When we
find that pair, we've found the boundary between a good approximation and a bad approximation, and we pick the good arc.

4
docs/news/2020-09-18.html
View File

@@ -33,8 +33,8 @@
<meta property="og:description" content="Rewriting the tech stack" />
<meta property="og:locale" content="en-GB" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="Fri Sep 18 2020 00:00:00 +00:00" />
<meta property="og:updated_time" content="Fri Mar 26 2021 00:54:44 +00:00" />
<meta property="og:published_time" content="Thu Sep 17 2020 17:00:00 +00:00" />
<meta property="og:updated_time" content="Fri Apr 09 2021 09:39:33 +00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />

4
docs/news/2020-11-22.html
View File

@@ -33,8 +33,8 @@
<meta property="og:description" content="Curve-circle intersections" />
<meta property="og:locale" content="en-GB" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="Sun Nov 22 2020 00:00:00 +00:00" />
<meta property="og:updated_time" content="Fri Mar 26 2021 00:54:44 +00:00" />
<meta property="og:published_time" content="Sat Nov 21 2020 16:00:00 +00:00" />
<meta property="og:updated_time" content="Fri Apr 09 2021 09:39:33 +00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />

2
docs/news/index.html
View File

@@ -33,7 +33,7 @@
<meta property="og:description" content="" />
<meta property="og:locale" content="en-GB" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="Fri Mar 26 2021 00:54:44 GMT+0000 (Coordinated Universal Time)" />
<meta property="og:published_time" content="Fri Apr 09 2021 09:39:33 GMT-0700 (Pacific Daylight Time)" />
<meta property="og:updated_time" content="" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />

6
docs/news/rss.xml
View File

@@ -6,7 +6,7 @@
<atom:link href="https://pomax.github.io/bezierinfo" rel="self"></atom:link>
<description>News updates for the <a href="https://pomax.github.io/bezierinfo">primer on Bézier Curves</a> by Pomax</description>
<language>en-GB</language>
<lastBuildDate>Fri Mar 26 2021 00:54:44 +00:00</lastBuildDate>
<lastBuildDate>Fri Apr 09 2021 09:39:33 +00:00</lastBuildDate>
<image>
<url>https://pomax.github.io/bezierinfo/images/og-image.png</url>
<title>A Primer on Bézier Curves</title>
@@ -23,7 +23,7 @@
&lt;p&gt;— &lt;a href=&quot;https://twitter.com/TheRealPomax&quot;&gt;Pomax&lt;/a&gt;&lt;/p&gt;
</description>
<pubDate>Sun Nov 22 2020 00:00:00 +00:00</pubDate>
<pubDate>Sat Nov 21 2020 16:00:00 +00:00</pubDate>
<guid>2020-11-22.html</guid>
</item><item>
<title>Rewriting the tech stack</title>
@@ -119,7 +119,7 @@ draw() {
&lt;p&gt;— &lt;a href=&quot;https://twitter.com/TheRealPomax&quot;&gt;Pomax&lt;/a&gt;&lt;/p&gt;
</description>
<pubDate>Fri Sep 18 2020 00:00:00 +00:00</pubDate>
<pubDate>Thu Sep 17 2020 17:00:00 +00:00</pubDate>
<guid>2020-09-18.html</guid>
</item>
</channel>

56
docs/ru-RU/index.html
View File

@@ -34,7 +34,7 @@
<meta property="og:locale" content="ru-RU" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-03-26T00:54:44+00:00" />
<meta property="og:updated_time" content="2021-04-09T16:39:33+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -148,10 +148,6 @@
<h2>Donations and sponsorship</h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
<p>
Ежели сей ресурс помог вам в ваших исследованиях или в написании собственной программы рассмотрите возможность
<a href="https://www.paypal.com/donate/?cmd=_s-xclick&hosted_button_id=3BNHGHZAS3DP6&locale.x=en_CA">задонатить</a>
@@ -161,13 +157,25 @@
счастливой жизни этого ресурса.
</p>
<h3>Bitcoin donations:</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
<div class="btcfh">
<div>
<h3>
Bitcoin donations:
</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves"
>3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a
>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
</div>
</div>
<br style="clear: both;" />
@@ -6149,13 +6157,9 @@ lli = function(line1, line2):
>,<em>C<sub>2.2</sub></em
>).
</li>
<li>
For each pair, check whether their bounding boxes overlap.
<ol>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
</ol>
</li>
<li>For each pair, check whether their bounding boxes overlap.</li>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
<li>
Once the sub-curves we form are so small that they effectively occupy sub-pixel areas, we consider an intersection found, noting that we
might have a cluster of multiple intersections at the sub-pixel level, out of which we pick one to act as "found" <code>t</code> value
@@ -9579,13 +9583,13 @@ for p = 1 to points.length-3 (inclusive):
</p>
<ol>
<li>We start with <code>low=0</code>, <code>mid=0.5</code> and <code>high=1</code></li>
<li>
That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
</li>
<li>That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code></li>
</ol>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
<ol start="3">
<li>
We keep doing this over and over until we have two arcs, in sequence, of which the first arc is good, and the second arc is bad. When we
find that pair, we've found the boundary between a good approximation and a bad approximation, and we pick the good arc.

21
docs/style.css
View File

@@ -485,9 +485,24 @@ a.rss-link {
/* --------------------- */
a.btcqr {
float: right;
margin-left: 1em;
div.btcfh {
display: flex;
flex-direction: row;
}
div.btcqr {
flex: 0 0 auto;
margin-top: 1em;
align-self: center;
}
div.btcqr a {
text-decoration: none;
padding-left: 0.5em;
}
div.btcqr img {
width: 50%;
}
a.btclk {

56
docs/uk-UA/index.html
View File

@@ -39,7 +39,7 @@
<meta property="og:locale" content="uk-UA" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-03-26T00:54:44+00:00" />
<meta property="og:updated_time" content="2021-04-09T16:39:33+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -153,10 +153,6 @@
<h2>Donations and sponsorship</h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
<p>
Якщо ви використовуєте цей ресурс для наукових досліджень, або пишете власне програмне забезпечення, будь ласка, розгляньте можливість
<a href="https://www.paypal.com/donate/?cmd=_s-xclick&hosted_button_id=3BNHGHZAS3DP6&locale.x=en_CA">фінансової підтримки</a> (будь-яка сума
@@ -165,13 +161,25 @@
багато буде потрібно. Тому, якщо можете допомогти з кавою, то можете бути впевнені, що цей ресурс буде підтримуватися ще довго!
</p>
<h3>Bitcoin donations:</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
<div class="btcfh">
<div>
<h3>
Bitcoin donations:
</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves"
>3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a
>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
</div>
</div>
<br style="clear: both;" />
@@ -6123,13 +6131,9 @@ lli = function(line1, line2):
>,<em>C<sub>2.2</sub></em
>).
</li>
<li>
For each pair, check whether their bounding boxes overlap.
<ol>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
</ol>
</li>
<li>For each pair, check whether their bounding boxes overlap.</li>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
<li>
Once the sub-curves we form are so small that they effectively occupy sub-pixel areas, we consider an intersection found, noting that we
might have a cluster of multiple intersections at the sub-pixel level, out of which we pick one to act as "found" <code>t</code> value
@@ -9553,13 +9557,13 @@ for p = 1 to points.length-3 (inclusive):
</p>
<ol>
<li>We start with <code>low=0</code>, <code>mid=0.5</code> and <code>high=1</code></li>
<li>
That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
</li>
<li>That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code></li>
</ol>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
<ol start="3">
<li>
We keep doing this over and over until we have two arcs, in sequence, of which the first arc is good, and the second arc is bad. When we
find that pair, we've found the boundary between a good approximation and a bad approximation, and we pick the good arc.

56
docs/zh-CN/index.html
View File

@@ -41,7 +41,7 @@
<meta property="og:locale" content="zh-CN" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-03-26T00:54:44+00:00" />
<meta property="og:updated_time" content="2021-04-09T16:39:33+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -158,10 +158,6 @@
<h2>Donations and sponsorship</h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
<p>
If this is a resource that you're using for research, as work reference, or even writing your own software, please consider
<a href="https://www.paypal.com/donate/?cmd=_s-xclick&hosted_button_id=3BNHGHZAS3DP6&locale.x=en_CA">donating</a> (any amount helps) or
@@ -174,13 +170,25 @@
sponsoring the site! I am more than happy to work with your finance department on sponsorship invoicing and recognition.
</p>
<h3>Bitcoin donations:</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
<div class="btcfh">
<div>
<h3>
Bitcoin donations:
</h3>
<p>
If you prefer to donate via Bitcoin, you can donate either directly to
<a class="btclk" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves"
>3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu</a
>
or use the QR code on the right, if that's the kind of convenience you prefer =)
</p>
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG" />
</a>
</div>
</div>
<br style="clear: both;" />
@@ -5968,13 +5976,9 @@ lli = function(line1, line2):
>,<em>C<sub>2.2</sub></em
>).
</li>
<li>
For each pair, check whether their bounding boxes overlap.
<ol>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
</ol>
</li>
<li>For each pair, check whether their bounding boxes overlap.</li>
<li>If their bounding boxes do not overlap, discard the pair, as there is no intersection between this pair of curves.</li>
<li>If there <em>is</em> overlap, rerun all steps for this pair.</li>
<li>
Once the sub-curves we form are so small that they effectively occupy sub-pixel areas, we consider an intersection found, noting that we
might have a cluster of multiple intersections at the sub-pixel level, out of which we pick one to act as "found" <code>t</code> value
@@ -9398,13 +9402,13 @@ for p = 1 to points.length-3 (inclusive):
</p>
<ol>
<li>We start with <code>low=0</code>, <code>mid=0.5</code> and <code>high=1</code></li>
<li>
That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
</li>
<li>That'll fail, so we retry with the interval halved: <code>{0, 0.25, 0.5}</code></li>
</ol>
<ul>
<li>If that arc's good, we move back up by half distance: <code>{0, 0.375, 0.75}</code>.</li>
<li>However, if the arc was still bad, we move <em>down</em> by half the distance: <code>{0, 0.125, 0.25}</code>.</li>
</ul>
<ol start="3">
<li>
We keep doing this over and over until we have two arcs, in sequence, of which the first arc is good, and the second arc is bad. When we
find that pair, we've found the boundary between a good approximation and a bad approximation, and we pick the good arc.

20
src/html/fragments/donations.html
View File

@@ -1,13 +1,19 @@
<h2>{{ donationsHeading }} </h2>
<a class="btcqr" href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG">
</a>
{{ donationCTA }}
<h3>{{ bitcoinHeading }}</h3>
{{ bitcoinCTA }}
<div class="btcfh">
<div>
<h3>
{{ bitcoinHeading }}
</h3>
{{ bitcoinCTA }}
</div>
<div class="btcqr">
<a href="bitcoin:3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu?label=Primer%20on%20Bezier%20Curves">
<img src="./images/3GY1HbQ2cH9V4xBLnRYdEfc42Nd1ZyjLZu.PNG">
</a>
</div>
</div>
<br style="clear:both">