From f7ec7fa90a769c204588f06da365ef1f968dedd1 Mon Sep 17 00:00:00 2001
From: Pomax <pomax@nihongoresources.com>
Date: Thu, 13 Aug 2020 17:16:46 -0700
Subject: [PATCH] pointvectors

---
 chapters/pointvectors/content.en-GB.md        |   4 +-
 chapters/pointvectors/cubic.js                |  67 ++++++++++++++++++
 chapters/pointvectors/quadratic.js            |  63 ++++++++++++++++
 .../05a1ee3b81a4838292814a7097b4cf50.png      | Bin 0 -> 11696 bytes
 .../3158c82ea512f70ec17d4a1ce2e7c7b2.png      | Bin 0 -> 10714 bytes
 .../140b23b10b4159b03b2a555db7ddf826.png      | Bin 5360 -> 0 bytes
 .../4541eeb2113d81cbc0c0a56122570d48.png      | Bin 10584 -> 10572 bytes
 index.html                                    |  40 ++++++++---
 ja-JP/index.html                              |  40 ++++++++---
 lib/custom-element/api/base-api.js            |   2 +-
 lib/custom-element/api/graphics-api.js        |  12 ++--
 .../build/markdown/generate-fallback-image.js |   9 ++-
 .../markdown/preprocess-graphics-element.js   |   7 +-
 zh-CN/index.html                              |  40 ++++++++---
 14 files changed, 242 insertions(+), 42 deletions(-)
 create mode 100644 chapters/pointvectors/cubic.js
 create mode 100644 chapters/pointvectors/quadratic.js
 create mode 100644 images/chapters/pointvectors/05a1ee3b81a4838292814a7097b4cf50.png
 create mode 100644 images/chapters/pointvectors/3158c82ea512f70ec17d4a1ce2e7c7b2.png
 delete mode 100644 images/chapters/reordering/140b23b10b4159b03b2a555db7ddf826.png

diff --git a/chapters/pointvectors/content.en-GB.md b/chapters/pointvectors/content.en-GB.md
index 34407b12..8be2cf24 100644
--- a/chapters/pointvectors/content.en-GB.md
+++ b/chapters/pointvectors/content.en-GB.md
@@ -73,6 +73,6 @@ treated as a sequence of three (elementary) shear operations. When we combine th
 The following two graphics show the tangent and normal along a quadratic and cubic curve, with the direction vector coloured blue, and the normal vector coloured red (the markers are spaced out evenly as *t*-intervals, not spaced equidistant).
 
 <div class="figure">
-  <Graphic title="Quadratic Bézier tangents and normals" inline={true} setup={this.setupQuadratic} draw={this.draw}/>
-  <Graphic title="Cubic Bézier tangents and normals" inline={true} setup={this.setupCubic} draw={this.draw}/>
+  <graphics-element title="Quadratic Bézier tangents and normals" src="./quadratic.js"></graphics-element>
+  <graphics-element title="Cubic Bézier tangents and normals" src="./cubic.js"></graphics-element>
 </div>
diff --git a/chapters/pointvectors/cubic.js b/chapters/pointvectors/cubic.js
new file mode 100644
index 00000000..d27e4370
--- /dev/null
+++ b/chapters/pointvectors/cubic.js
@@ -0,0 +1,67 @@
+setup() {
+    this.curve = Bezier.defaultCubic(this);
+    setMovable(this.curve.points);
+}
+
+draw() {
+    clear();
+    const curve = this.curve;
+    curve.drawSkeleton();
+    const pts = curve.points;
+    const f = 15;
+
+    for(let i=0; i<=10; i++) {
+        let t = i/10.0;
+        let p = curve.get(t);
+        let d = this.getDerivative(t, pts);
+
+        let m = sqrt(d.x*d.x + d.y*d.y);
+        d = { x: d.x/m, y: d.y/m };
+        let n = this.getNormal(t, d);
+
+        setStroke(`blue`);
+        line(p.x, p.y, p.x + d.x*f, p.y + d.y*f);
+
+        setStroke(`red`);
+        line(p.x, p.y, p.x + n.x*f, p.y + n.y*f);
+
+        setStroke(`purple`);
+        line(p.x, p.y, p.x - n.x*f, p.y - n.y*f);
+
+        setStroke(`black`);
+        circle(p.x, p.y, 3);
+    }
+
+    curve.drawPoints();
+}
+
+getDerivative(t, points) {
+    let mt = (1 - t), a = mt*mt, b = mt*t, c = t*t, d = [
+        {
+            x: 3 * (points[1].x - points[0].x),
+            y: 3 * (points[1].y - points[0].y)
+        },
+        {
+            x: 3 * (points[2].x - points[1].x),
+            y: 3 * (points[2].y - points[1].y)
+        },
+        {
+            x: 3 * (points[3].x - points[2].x),
+            y: 3 * (points[3].y - points[2].y)
+        }
+    ];
+
+    return {
+        x: a * d[0].x + b * d[1].x + c * d[2].x,
+        y: a * d[0].y + b * d[1].y + c * d[2].y
+    };
+}
+
+getNormal(t, d) {
+    const q = sqrt(d.x * d.x + d.y * d.y);
+    return { x: -d.y / q, y: d.x / q };
+}
+
+onMouseMove() {
+    redraw();
+}
diff --git a/chapters/pointvectors/quadratic.js b/chapters/pointvectors/quadratic.js
new file mode 100644
index 00000000..0e64461f
--- /dev/null
+++ b/chapters/pointvectors/quadratic.js
@@ -0,0 +1,63 @@
+setup() {
+    this.curve = Bezier.defaultQuadratic(this);
+    setMovable(this.curve.points);
+}
+
+draw() {
+    clear();
+    const curve = this.curve;
+    curve.drawSkeleton();
+    const pts = curve.points;
+    const f = 15;
+
+    for(let i=0; i<=10; i++) {
+        let t = i/10.0;
+        let p = curve.get(t);
+        let d = this.getDerivative(t, pts);
+
+        let m = sqrt(d.x*d.x + d.y*d.y);
+        d = { x: d.x/m, y: d.y/m };
+        let n = this.getNormal(t, d);
+
+        setStroke(`blue`);
+        line(p.x, p.y, p.x + d.x*f, p.y + d.y*f);
+
+        setStroke(`red`);
+        line(p.x, p.y, p.x + n.x*f, p.y + n.y*f);
+
+        setStroke(`purple`);
+        line(p.x, p.y, p.x - n.x*f, p.y - n.y*f);
+
+        setStroke(`black`);
+        circle(p.x, p.y, 3);
+    }
+
+    curve.drawPoints();
+}
+
+getDerivative(t, points) {
+    let mt = (1 - t), d = [
+        {
+            x: 2 * (points[1].x - points[0].x),
+            y: 2 * (points[1].y - points[0].y)
+        },
+        {
+            x: 2 * (points[2].x - points[1].x),
+            y: 2 * (points[2].y - points[1].y)
+        }
+    ];
+
+    return {
+        x: mt * d[0].x + t * d[1].x,
+        y: mt * d[0].y + t * d[1].y
+    };
+}
+
+getNormal(t, d) {
+    const q = sqrt(d.x * d.x + d.y * d.y);
+    return { x: -d.y / q, y: d.x / q };
+}
+
+onMouseMove() {
+    redraw();
+}
diff --git a/images/chapters/pointvectors/05a1ee3b81a4838292814a7097b4cf50.png b/images/chapters/pointvectors/05a1ee3b81a4838292814a7097b4cf50.png
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diff --git a/index.html b/index.html
index 8107e51a..e186d5fd 100644
--- a/index.html
+++ b/index.html
@@ -2586,18 +2586,38 @@ function drawCurve(points[], t):
             evenly as <em>t</em>-intervals, not spaced equidistant).
           </p>
           <div class="figure">
-            <Graphic
+            <graphics-element
               title="Quadratic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupQuadratic}"
-              draw="{this.draw}"
-            />
-            <Graphic
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/quadratic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\3158c82ea512f70ec17d4a1ce2e7c7b2.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
+            <graphics-element
               title="Cubic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupCubic}"
-              draw="{this.draw}"
-            />
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/cubic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\05a1ee3b81a4838292814a7097b4cf50.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
           </div>
         </section>
         <section id="pointvectors3d">
diff --git a/ja-JP/index.html b/ja-JP/index.html
index 3ea0641c..450aea6a 100644
--- a/ja-JP/index.html
+++ b/ja-JP/index.html
@@ -2180,18 +2180,38 @@ function drawCurve(points[], t):
             evenly as <em>t</em>-intervals, not spaced equidistant).
           </p>
           <div class="figure">
-            <Graphic
+            <graphics-element
               title="Quadratic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupQuadratic}"
-              draw="{this.draw}"
-            />
-            <Graphic
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/quadratic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\3158c82ea512f70ec17d4a1ce2e7c7b2.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
+            <graphics-element
               title="Cubic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupCubic}"
-              draw="{this.draw}"
-            />
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/cubic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\05a1ee3b81a4838292814a7097b4cf50.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
           </div>
         </section>
         <section id="pointvectors3d">
diff --git a/lib/custom-element/api/base-api.js b/lib/custom-element/api/base-api.js
index e080a396..db0185b9 100644
--- a/lib/custom-element/api/base-api.js
+++ b/lib/custom-element/api/base-api.js
@@ -200,7 +200,7 @@ class BaseAPI {
    */
   setup() {
     // console.log(`setup`);
-    this.moveable = [];
+    this.movable = [];
   }
 
   /**
diff --git a/lib/custom-element/api/graphics-api.js b/lib/custom-element/api/graphics-api.js
index 49caf566..83ae78c8 100644
--- a/lib/custom-element/api/graphics-api.js
+++ b/lib/custom-element/api/graphics-api.js
@@ -72,8 +72,8 @@ class GraphicsAPI extends BaseAPI {
       ? TOUCH_PRECISION_ZONE
       : MOUSE_PRECISION_ZONE;
 
-    for (let i = 0, e = this.moveable.length, p, d; i < e; i++) {
-      p = this.moveable[i];
+    for (let i = 0, e = this.movable.length, p, d; i < e; i++) {
+      p = this.movable[i];
       d = new Vector(p).dist(this.cursor);
       if (d <= cdist) {
         this.currentPoint = p;
@@ -88,8 +88,8 @@ class GraphicsAPI extends BaseAPI {
       this.currentPoint.x = this.cursor.x;
       this.currentPoint.y = this.cursor.y;
     } else {
-      for (let i = 0, e = this.moveable.length, p; i < e; i++) {
-        p = this.moveable[i];
+      for (let i = 0, e = this.movable.length, p; i < e; i++) {
+        p = this.movable[i];
         if (new Vector(p).dist(this.cursor) <= 5) {
           this.setCursor(this.HAND);
           return; // NOTE: this is a return, not a break.
@@ -105,12 +105,12 @@ class GraphicsAPI extends BaseAPI {
   }
 
   resetMovable(points) {
-    this.moveable.splice(0, this.moveable.length);
+    this.movable.splice(0, this.movable.length);
     if (points) this.setMovable(points);
   }
 
   setMovable(points) {
-    points.forEach((p) => this.moveable.push(p));
+    points.forEach((p) => this.movable.push(p));
   }
 
   /**
diff --git a/tools/build/markdown/generate-fallback-image.js b/tools/build/markdown/generate-fallback-image.js
index 23c0c25d..d1714e84 100644
--- a/tools/build/markdown/generate-fallback-image.js
+++ b/tools/build/markdown/generate-fallback-image.js
@@ -10,7 +10,9 @@ const __root = path.join(__dirname, `..`, `..`, `..`);
 /**
  * ...docs go here...
  */
-async function generateFallbackImage(src, width, height) {
+async function generateFallbackImage(localeStrings, src, width, height) {
+  const locale = localeStrings.getCurrentLocale();
+
   // Get the sketch code
   const sourcePath = path.join(__root, src);
   let code;
@@ -23,6 +25,9 @@ async function generateFallbackImage(src, width, height) {
 
   // Do we need to even generate a file here?
   const hash = createHash(`md5`).update(code).digest(`hex`);
+
+  if (locale !== localeStrings.getDefaultLocale()) return hash;
+
   const destPath = path.dirname(path.join(__root, `images`, src));
   const filename = path.join(destPath, `${hash}.png`);
   if (fs.existsSync(filename)) return hash;
@@ -50,7 +55,7 @@ async function generateFallbackImage(src, width, height) {
 
   fs.ensureDirSync(path.dirname(filename));
   fs.writeFileSync(filename, imageData);
-  console.log(`Generated fallback image for ${src}`);
+  console.log(`Generated fallback image for ${src} (${locale})`);
 
   return hash;
 }
diff --git a/tools/build/markdown/preprocess-graphics-element.js b/tools/build/markdown/preprocess-graphics-element.js
index c560bd03..42c09faa 100644
--- a/tools/build/markdown/preprocess-graphics-element.js
+++ b/tools/build/markdown/preprocess-graphics-element.js
@@ -51,7 +51,12 @@ async function preprocessGraphicsElement(chapter, localeStrings, markdown) {
         src = src.replace(`./`, `./chapters/${chapter}/`);
       }
 
-      let imageHash = await generateFallbackImage(src, width, height); // ← this is super fancy functionality.
+      let imageHash = await generateFallbackImage(
+        localeStrings,
+        src,
+        width,
+        height
+      ); // ← this is super fancy functionality.
       let imgUrl = path.join(
         path.dirname(src.replace(`./`, `./images/`)),
         `${imageHash}.png`
diff --git a/zh-CN/index.html b/zh-CN/index.html
index 3c970dd6..8029c917 100644
--- a/zh-CN/index.html
+++ b/zh-CN/index.html
@@ -2190,18 +2190,38 @@ function drawCurve(points[], t):
             evenly as <em>t</em>-intervals, not spaced equidistant).
           </p>
           <div class="figure">
-            <Graphic
+            <graphics-element
               title="Quadratic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupQuadratic}"
-              draw="{this.draw}"
-            />
-            <Graphic
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/quadratic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\3158c82ea512f70ec17d4a1ce2e7c7b2.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
+            <graphics-element
               title="Cubic Bézier tangents and normals"
-              inline="{true}"
-              setup="{this.setupCubic}"
-              draw="{this.draw}"
-            />
+              width="275"
+              height="275"
+              src="./chapters/pointvectors/cubic.js"
+            >
+              <fallback-image>
+                <img
+                  width="275px"
+                  height="275px"
+                  src="images\chapters\pointvectors\05a1ee3b81a4838292814a7097b4cf50.png"
+                  loading="lazy"
+                />
+                Scripts are disabled. Showing fallback image.
+              </fallback-image></graphics-element
+            >
           </div>
         </section>
         <section id="pointvectors3d">