mirror of
https://github.com/Pomax/BezierInfo-2.git
synced 2025-08-16 13:44:31 +02:00
better sketched, packing
This commit is contained in:
Pomax
1
.gitignore
vendored
1
.gitignore
vendored
@@ -1 +1,2 @@
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node_modules
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data
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350
article.js
350
article.js
@@ -56,7 +56,7 @@
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var React = __webpack_require__(2);
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var ReactDOM = __webpack_require__(159);
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var Article = __webpack_require__(160);
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var style = __webpack_require__(172);
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var style = __webpack_require__(174);
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ReactDOM.render(React.createElement(Article, null), document.getElementById("article"));
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@@ -19696,7 +19696,7 @@
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preface: __webpack_require__(162),
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introduction: __webpack_require__(163),
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whatis: __webpack_require__(168),
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explanation: __webpack_require__(171)
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explanation: __webpack_require__(172)
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};
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/*
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@@ -19947,8 +19947,11 @@
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cx: 0,
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cy: 0,
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mp: { x: 0, y: 0 },
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offset: { x: 0, y: 0 },
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lpts: [],
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render: function render() {
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var href = "data:text/plain," + this.props.code;
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return React.createElement(
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"figure",
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null,
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@@ -20115,6 +20118,18 @@
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}
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this.ctx.strokeStyle = "black";
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this.drawPoints(pts, offset);
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this.drawCoordinates(curve, offset);
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},
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drawCoordinates: function drawCoordinates(curve, offset) {
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var _this2 = this;
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offset = offset || { x: 0, y: 0 };
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var pts = curve.points;
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this.setFill("black");
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pts.forEach(function (p) {
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_this2.drawText("(" + p.x + "," + p.y + ")", { x: p.x + 5, y: p.y + 10 });
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});
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},
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drawCurve: function drawCurve(curve, offset) {
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@@ -20146,12 +20161,7 @@
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},
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drawPoint: function drawPoint(p, offset) {
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offset = offset || { x: 0, y: 0 };
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var ox = offset.x + this.offset.x;
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var oy = offset.y + this.offset.y;
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this.ctx.beginPath();
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this.ctx.arc(p.x + ox, p.y + oy, 5, 0, 2 * Math.PI);
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this.ctx.stroke();
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this.drawCircle(p, 1, offset);
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},
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drawPoints: function drawPoints(points, offset) {
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@@ -21435,86 +21445,11 @@
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var Whatis = React.createClass({
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displayName: "Whatis",
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setup: function setup(api) {
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this.offset = 20;
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var curve = api.getDefaultQuadratic();
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api.setPanelCount(3);
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api.setCurve(curve);
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this.dim = api.getPanelWidth();
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},
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interpolation: __webpack_require__(171),
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draw: function draw(api, curve) {
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var pts = curve.points;
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var p1 = pts[0],
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p2 = pts[1],
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p3 = pts[2];
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var p1e = {
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x: p1.x + 0.2 * (p2.x - p1.x),
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y: p1.y + 0.2 * (p2.y - p1.y)
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};
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var p2e = {
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x: p2.x + 0.2 * (p3.x - p2.x),
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y: p2.y + 0.2 * (p3.y - p2.y)
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};
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var m = {
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x: p1e.x + 0.2 * (p2e.x - p1e.x),
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y: p1e.y + 0.2 * (p2e.y - p1e.y)
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};
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api.reset();
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api.setColor("black");
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api.setFill("black");
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api.drawSkeleton(curve);
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api.drawCurve(curve);
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// draw 20% off-start points and struts
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api.setColor("blue");
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api.setWeight(2);
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api.drawLine(p1, p1e);
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api.drawLine(p2, p2e);
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api.drawCircle(p1e, 3);
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api.drawCircle(p2e, 3);
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api.drawText("linear interpolation distance: " + this.offset + "%", { x: 5, y: 15 });
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api.drawText("linear interpolation between the first set of points", { x: 5, y: this.dim - 5 });
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// next panel
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api.setColor("black");
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api.setWeight(1);
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api.setOffset({ x: this.dim, y: 0 });
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api.drawLine({ x: 0, y: 0 }, { x: 0, y: this.dim });
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api.drawSkeleton(curve);
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api.drawCurve(curve);
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api.setColor("lightgrey");
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api.drawLine(p1e, p2e);
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api.drawCircle(p1e, 3);
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api.drawCircle(p2e, 3);
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api.setColor("blue");
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api.setWeight(2);
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api.drawLine(p1e, m);
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api.drawCircle(m, 3);
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api.drawText("same linear interpolation distance: " + this.offset + "%", { x: 5, y: 15 });
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api.drawText("linear interpolation between the second set of points", { x: 5, y: this.dim - 5 });
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// next panel
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api.setColor("black");
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api.setWeight(1);
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api.setOffset({ x: 2 * this.dim, y: 0 });
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api.drawLine({ x: 0, y: 0 }, { x: 0, y: this.dim });
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api.drawSkeleton(curve);
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api.drawCurve(curve);
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api.drawCircle(m, 3);
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api.drawText("the second interpolation turns out to be a curve point!", { x: 5, y: this.dim - 5 });
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componentWillMount: function componentWillMount() {
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this.setup = this.interpolation.setup.bind(this);
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this.draw = this.interpolation.draw.bind(this);
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},
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render: function render() {
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@@ -21570,7 +21505,7 @@
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null,
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"So let's look at that in action: the following graphic is interactive in that you can use your '+' and '-' keys to increase or decrease the interpolation distance, to see what happens. We start with three points, which gives us two lines. Linear interpolation over those lines gives use two points, between which we can again perform linear interpolation, yielding a single point. And that point, and all points we can form in this way for all distances taken together, form our Bézier curve:"
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),
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React.createElement(Graphic, { preset: "threepanel", title: "Linear Interpolation leading to Bézier curves", setup: this.setup, draw: this.draw }),
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React.createElement(Graphic, { title: "Linear Interpolation leading to Bézier curves", setup: this.setup, draw: this.draw }),
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React.createElement(
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"p",
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null,
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@@ -21799,6 +21734,158 @@
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/***/ },
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/* 171 */
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/***/ function(module, exports) {
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"use strict";
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module.exports = {
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setup: function setup(sketch) {
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this.offset = 20;
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var curve = sketch.getDefaultQuadratic();
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sketch.setPanelCount(3);
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sketch.setCurve(curve);
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this.dim = sketch.getPanelWidth();
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},
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draw: function draw(sketch, curve) {
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var pts = curve.points;
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var p1 = pts[0],
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p2 = pts[1],
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p3 = pts[2];
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var p1e = {
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x: p1.x + 0.2 * (p2.x - p1.x),
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y: p1.y + 0.2 * (p2.y - p1.y)
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};
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var p2e = {
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x: p2.x + 0.2 * (p3.x - p2.x),
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y: p2.y + 0.2 * (p3.y - p2.y)
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};
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var m = {
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x: p1e.x + 0.2 * (p2e.x - p1e.x),
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y: p1e.y + 0.2 * (p2e.y - p1e.y)
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};
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var p1e2 = {
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x: p1.x + 0.4 * (p2.x - p1.x),
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y: p1.y + 0.4 * (p2.y - p1.y)
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};
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var p2e2 = {
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x: p2.x + 0.4 * (p3.x - p2.x),
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y: p2.y + 0.4 * (p3.y - p2.y)
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};
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var m2 = {
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x: p1e2.x + 0.4 * (p2e2.x - p1e2.x),
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y: p1e2.y + 0.4 * (p2e2.y - p1e2.y)
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};
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var p1e3 = {
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x: p1.x + 0.6 * (p2.x - p1.x),
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y: p1.y + 0.6 * (p2.y - p1.y)
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};
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var p2e3 = {
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x: p2.x + 0.6 * (p3.x - p2.x),
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y: p2.y + 0.6 * (p3.y - p2.y)
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};
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var m3 = {
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x: p1e3.x + 0.6 * (p2e3.x - p1e3.x),
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y: p1e3.y + 0.6 * (p2e3.y - p1e3.y)
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};
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sketch.reset();
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sketch.setColor("black");
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sketch.setFill("black");
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sketch.drawSkeleton(curve);
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sketch.drawCurve(curve);
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// draw 20% off-start points and struts
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sketch.setWeight(2);
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sketch.setColor("blue");
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sketch.drawLine(p1, p1e);
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sketch.drawLine(p2, p2e);
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sketch.drawCircle(p1e, 3);
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sketch.drawCircle(p2e, 3);
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sketch.setColor("red");
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sketch.drawLine(p1e, p1e2);
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sketch.drawLine(p2e, p2e2);
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sketch.drawCircle(p1e2, 3);
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sketch.drawCircle(p2e2, 3);
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sketch.setColor("green");
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sketch.drawLine(p1e2, p1e3);
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sketch.drawLine(p2e2, p2e3);
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sketch.drawCircle(p1e3, 3);
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sketch.drawCircle(p2e3, 3);
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sketch.drawText("First linear interpolation at 20% / 40% / 60%", { x: 5, y: 15 });
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// next panel
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sketch.setColor("black");
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sketch.setWeight(1);
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sketch.setOffset({ x: this.dim + 0.5, y: 0 });
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sketch.drawLine({ x: 0, y: 0 }, { x: 0, y: this.dim });
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sketch.drawSkeleton(curve);
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sketch.drawCurve(curve);
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sketch.setColor("rgb(100,100,200)");
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sketch.drawLine(p1e, p2e);
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sketch.drawCircle(p1e, 3);
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sketch.drawCircle(p2e, 3);
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sketch.setColor("rgb(200,100,100)");
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sketch.drawLine(p1e2, p2e2);
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sketch.drawCircle(p1e2, 3);
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sketch.drawCircle(p2e2, 3);
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sketch.setColor("rgb(100,200,100)");
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sketch.drawLine(p1e3, p2e3);
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sketch.drawCircle(p1e3, 3);
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sketch.drawCircle(p2e3, 3);
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sketch.setColor("blue");
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sketch.setWeight(2);
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sketch.drawLine(p1e, m);
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sketch.drawCircle(m, 3);
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sketch.setColor("red");
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sketch.drawLine(p1e2, m2);
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sketch.drawCircle(m2, 3);
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sketch.setColor("green");
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sketch.drawLine(p1e3, m3);
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sketch.drawCircle(m3, 3);
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sketch.drawText("Second interpolation at 20% / 40% / 60%", { x: 5, y: 15 });
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// next panel
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sketch.setColor("black");
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sketch.setWeight(1);
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sketch.setOffset({ x: 2 * this.dim + 0.5, y: 0 });
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sketch.drawLine({ x: 0, y: 0 }, { x: 0, y: this.dim });
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sketch.drawSkeleton(curve);
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sketch.drawCurve(curve);
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sketch.drawCircle(m, 3);
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sketch.drawCircle(m2, 3);
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sketch.drawCircle(m3, 3);
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sketch.drawText("Curve points for t = 0.2, t = 0.4, t = 0.6", { x: 5, y: 15 });
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}
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};
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/***/ },
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/* 172 */
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/***/ function(module, exports, __webpack_require__) {
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"use strict";
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@@ -21811,9 +21898,12 @@
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var Explanation = React.createClass({
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displayName: "Explanation",
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setup: function setup(api) {},
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circle: __webpack_require__(173),
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draw: function draw(api, curve) {},
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componentWillMount: function componentWillMount() {
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this.setup = this.circle.setup.bind(this);
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this.draw = this.circle.draw.bind(this);
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},
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render: function render() {
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return React.createElement(
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@@ -22694,16 +22784,58 @@
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module.exports = Explanation;
|
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/***/ },
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/* 172 */
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/* 173 */
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/***/ function(module, exports) {
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"use strict";
|
||||
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module.exports = {
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setup: function setup(sketch) {},
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draw: function draw(sketch, curve) {
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var dim = sketch.getPanelWidth(),
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w = dim,
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h = dim,
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w2 = w / 2,
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h2 = h / 2,
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w4 = w2 / 2,
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h4 = h2 / 2;
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sketch.reset();
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sketch.setColor("black");
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||||
sketch.drawLine({ x: 0, y: h2 }, { x: w, y: h2 });
|
||||
sketch.drawLine({ x: w2, y: 0 }, { x: w2, y: h });
|
||||
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||||
var offset = { x: w2, y: h2 };
|
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for (var t = 0, p; t <= 5; t += 0.1) {
|
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p = {
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x: w4 * Math.cos(t),
|
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y: h4 * Math.sin(t)
|
||||
};
|
||||
sketch.drawPoint(p, offset);
|
||||
var modulo = t % 1;
|
||||
if (modulo < 0.05 || modulo > 0.95) {
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sketch.drawText("t = " + Math.round(t), {
|
||||
x: offset.x + 1.25 * w4 * Math.cos(t) - 10,
|
||||
y: offset.y + 1.25 * h4 * Math.sin(t) + 5
|
||||
});
|
||||
sketch.drawCircle(p, 2, offset);
|
||||
}
|
||||
}
|
||||
}
|
||||
};
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||||
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||||
/***/ },
|
||||
/* 174 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
// style-loader: Adds some css to the DOM by adding a <style> tag
|
||||
|
||||
// load the styles
|
||||
var content = __webpack_require__(173);
|
||||
var content = __webpack_require__(175);
|
||||
if(typeof content === 'string') content = [[module.id, content, '']];
|
||||
// add the styles to the DOM
|
||||
var update = __webpack_require__(177)(content, {});
|
||||
var update = __webpack_require__(179)(content, {});
|
||||
if(content.locals) module.exports = content.locals;
|
||||
// Hot Module Replacement
|
||||
if(false) {
|
||||
@@ -22720,21 +22852,21 @@
|
||||
}
|
||||
|
||||
/***/ },
|
||||
/* 173 */
|
||||
/* 175 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
exports = module.exports = __webpack_require__(174)();
|
||||
exports = module.exports = __webpack_require__(176)();
|
||||
// imports
|
||||
|
||||
|
||||
// module
|
||||
exports.push([module.id, "html,\nbody {\n margin: 0;\n padding: 0;\n}\nbody {\n background: url(" + __webpack_require__(175) + ");\n}\nheader,\nsection,\nfooter {\n width: 960px;\n margin: 0 auto;\n}\nheader {\n font-size: 125%;\n}\narticle {\n width: 960px;\n margin: auto;\n background: rgba(255, 255, 255, 0.74);\n border: solid rgba(255, 0, 0, 0.35);\n border-width: 0;\n border-left-width: 1px;\n padding: 1em;\n box-shadow: 25px 0px 25px 25px rgba(255, 255, 255, 0.74);\n}\nsection p {\n text-align: justify;\n}\nsection h2:before {\n content: \"\\A7\" attr(data-num) \" \\2014 \";\n}\nsection * + h2:before {\n content: \"\";\n}\nsection * h2:before {\n content: \"\";\n}\nsection h2 {\n margin-top: 2em;\n cursor: pointer;\n}\nsection * + h2 {\n margin-top: 0em;\n cursor: auto;\n}\nsection * h2 {\n margin-top: 0em;\n cursor: auto;\n}\ncanvas.loading-sketch {\n background: url(" + __webpack_require__(176) + ");\n background-repeat: no-repeat;\n background-position: 50% 50%;\n}\n.sketch-code {\n display: inline-block;\n unicode-bidi: embed;\n font-family: monospace;\n white-space: pre;\n border: 1px solid black;\n min-height: 300px;\n}\n.sketch {\n display: inline-block;\n border: 1px solid #DDD;\n padding: 5px;\n font-style: italic;\n font-size: 80%;\n background: #fafacc;\n}\n.sketch canvas {\n margin: auto;\n border: 1px solid black;\n height: 300px;\n}\n.sketch canvas:focus {\n outline: 1px solid rgba(0, 0, 0, 0);\n}\n.sketch img {\n margin: auto;\n border: 1px solid black;\n}\n.labeled-image p:before {\n content: \"Image \" attr(data-img-label) \". \";\n}\n.labeled-image p {\n margin: 0;\n}\n.sketch canvas[data-preset=simple],\n.sketch canvas[data-preset=poly],\n.sketch canvas[data-preset=ratios],\n.sketch canvas[data-preset=clipping],\n.sketch canvas[data-preset=abc],\n.sketch canvas[data-preset=moulding],\n.sketch canvas[data-preset=generate] {\n width: 300px;\n}\n.sketch canvas[data-preset=twopanel] {\n width: 600px;\n}\n.sketch canvas[data-preset=shapes],\n.sketch canvas[data-preset=threepanel] {\n width: 900px;\n}\n.sketch-title span {\n color: #0000c8;\n cursor: pointer;\n}\ndiv.note {\n font-size: 90%;\n margin: 1em 2em;\n padding: 1em;\n border: 1px solid grey;\n background: rgba(150, 150, 50, 0.05);\n}\ndiv.note * {\n margin: 0;\n padding: 0;\n}\ndiv.note p {\n margin: 1em 0;\n}\ndiv.note div.MathJax_Display {\n margin: 1em 0;\n}\na,\na:visited {\n color: #0000c8;\n text-decoration: none;\n}\n#ribbonimg {\n position: fixed;\n top: 0;\n right: 0;\n z-index: 999;\n}\n#navbar {\n float: right;\n background: white;\n padding: 0 0.2em 0.5em 0.5em;\n border: 1px solid black;\n margin: 0 0 0.2em 1em;\n font-size: 80%;\n}\n#navbar h3 {\n margin: 0.2em 0;\n}\n#navbar ol {\n margin: 0.2em;\n margin-left: -1em;\n}\ntd p {\n text-align: center;\n}\n#scriptblock {\n display: none;\n}\n/**\n GITHUB ISSUES\n**/\ngithub-issues {\n position: relative;\n display: block;\n width: 100%;\n}\ngithub-issue {\n display: block;\n position: relative;\n border: 1px solid #EEE;\n border-left: 0.3em solid #e5ecf3;\n /*border-radius: 7px 0 0 7px;*/\n background: white;\n padding: 0 0.3em;\n font: 13px Helvetica, arial, freesans, clean, sans-serif;\n width: 95%;\n margin: auto;\n min-height: 33px;\n}\ngithub-issue + github-issue {\n margin-top: 1em;\n}\ngithub-issue h3 {\n font-size: 100%;\n background: #e5ecf3;\n margin: 0;\n position: relative;\n left: -0.5%;\n width: 101%;\n font-weight: bold;\n border-bottom: 1px solid #999;\n}\ngithub-issue a {\n position: absolute;\n top: 2px;\n right: 10px;\n padding: 0 4px;\n color: #4183C4!important;\n background: white;\n line-height: 10px;\n font-size: 10px;\n}\n.howtocode {\n border: 1px solid #8d94bd;\n padding: 0 1em;\n margin: 0 2em;\n overflow-x: hidden;\n}\n.howtocode h3 {\n margin: 0 -1em;\n padding: 0;\n background: #91bef7;\n padding-left: 0.5em;\n color: white;\n text-shadow: 1px 1px 0 #000000;\n cursor: pointer;\n}\n.howtocode pre {\n border: 1px solid #8d94bd;\n background: rgba(223, 226, 243, 0.32);\n margin: 0.5em;\n padding: 0.5em;\n}\nfooter {\n font-style: italic;\n margin: 2em 0 1em 0;\n background: inherit;\n}\n/* addthis nonsense */\n.at-floatingbar-inner {\n width: 10px;\n}\n/* =========================================================== */\nfigure {\n display: inline-block;\n border: 1px solid grey;\n background: #F0F0F0;\n padding: 0.5em 0.5em 0 0.5em;\n text-align: center;\n}\nfigure canvas {\n display: inline-block;\n background: white;\n border: 1px solid lightgrey;\n}\nfigure figcaption {\n text-align: center;\n padding: 0.5em 0;\n font-style: italic;\n font-size: 90%;\n}\n", ""]);
|
||||
exports.push([module.id, "html,\nbody {\n margin: 0;\n padding: 0;\n}\nbody {\n background: url(" + __webpack_require__(177) + ");\n}\nheader,\nsection,\nfooter {\n width: 960px;\n margin: 0 auto;\n}\nheader {\n font-size: 125%;\n}\narticle {\n width: 960px;\n margin: auto;\n background: rgba(255, 255, 255, 0.74);\n border: solid rgba(255, 0, 0, 0.35);\n border-width: 0;\n border-left-width: 1px;\n padding: 1em;\n box-shadow: 25px 0px 25px 25px rgba(255, 255, 255, 0.74);\n}\nsection p {\n text-align: justify;\n}\nsection h2:before {\n content: \"\\A7\" attr(data-num) \" \\2014 \";\n}\nsection * + h2:before {\n content: \"\";\n}\nsection * h2:before {\n content: \"\";\n}\nsection h2 {\n margin-top: 2em;\n cursor: pointer;\n}\nsection * + h2 {\n margin-top: 0em;\n cursor: auto;\n}\nsection * h2 {\n margin-top: 0em;\n cursor: auto;\n}\ncanvas.loading-sketch {\n background: url(" + __webpack_require__(178) + ");\n background-repeat: no-repeat;\n background-position: 50% 50%;\n}\n.sketch-code {\n display: inline-block;\n unicode-bidi: embed;\n font-family: monospace;\n white-space: pre;\n border: 1px solid black;\n min-height: 300px;\n}\n.sketch {\n display: inline-block;\n border: 1px solid #DDD;\n padding: 5px;\n font-style: italic;\n font-size: 80%;\n background: #fafacc;\n}\n.sketch canvas {\n margin: auto;\n border: 1px solid black;\n height: 300px;\n}\n.sketch canvas:focus {\n outline: 1px solid rgba(0, 0, 0, 0);\n}\n.sketch img {\n margin: auto;\n border: 1px solid black;\n}\n.labeled-image p:before {\n content: \"Image \" attr(data-img-label) \". \";\n}\n.labeled-image p {\n margin: 0;\n}\n.sketch canvas[data-preset=simple],\n.sketch canvas[data-preset=poly],\n.sketch canvas[data-preset=ratios],\n.sketch canvas[data-preset=clipping],\n.sketch canvas[data-preset=abc],\n.sketch canvas[data-preset=moulding],\n.sketch canvas[data-preset=generate] {\n width: 300px;\n}\n.sketch canvas[data-preset=twopanel] {\n width: 600px;\n}\n.sketch canvas[data-preset=shapes],\n.sketch canvas[data-preset=threepanel] {\n width: 900px;\n}\n.sketch-title span {\n color: #0000c8;\n cursor: pointer;\n}\ndiv.note {\n font-size: 90%;\n margin: 1em 2em;\n padding: 1em;\n border: 1px solid grey;\n background: rgba(150, 150, 50, 0.05);\n}\ndiv.note * {\n margin: 0;\n padding: 0;\n}\ndiv.note p {\n margin: 1em 0;\n}\ndiv.note div.MathJax_Display {\n margin: 1em 0;\n}\na,\na:visited {\n color: #0000c8;\n text-decoration: none;\n}\n#ribbonimg {\n position: fixed;\n top: 0;\n right: 0;\n z-index: 999;\n}\n#navbar {\n float: right;\n background: white;\n padding: 0 0.2em 0.5em 0.5em;\n border: 1px solid black;\n margin: 0 0 0.2em 1em;\n font-size: 80%;\n}\n#navbar h3 {\n margin: 0.2em 0;\n}\n#navbar ol {\n margin: 0.2em;\n margin-left: -1em;\n}\ntd p {\n text-align: center;\n}\n#scriptblock {\n display: none;\n}\n/**\n GITHUB ISSUES\n**/\ngithub-issues {\n position: relative;\n display: block;\n width: 100%;\n}\ngithub-issue {\n display: block;\n position: relative;\n border: 1px solid #EEE;\n border-left: 0.3em solid #e5ecf3;\n /*border-radius: 7px 0 0 7px;*/\n background: white;\n padding: 0 0.3em;\n font: 13px Helvetica, arial, freesans, clean, sans-serif;\n width: 95%;\n margin: auto;\n min-height: 33px;\n}\ngithub-issue + github-issue {\n margin-top: 1em;\n}\ngithub-issue h3 {\n font-size: 100%;\n background: #e5ecf3;\n margin: 0;\n position: relative;\n left: -0.5%;\n width: 101%;\n font-weight: bold;\n border-bottom: 1px solid #999;\n}\ngithub-issue a {\n position: absolute;\n top: 2px;\n right: 10px;\n padding: 0 4px;\n color: #4183C4!important;\n background: white;\n line-height: 10px;\n font-size: 10px;\n}\n.howtocode {\n border: 1px solid #8d94bd;\n padding: 0 1em;\n margin: 0 2em;\n overflow-x: hidden;\n}\n.howtocode h3 {\n margin: 0 -1em;\n padding: 0;\n background: #91bef7;\n padding-left: 0.5em;\n color: white;\n text-shadow: 1px 1px 0 #000000;\n cursor: pointer;\n}\n.howtocode pre {\n border: 1px solid #8d94bd;\n background: rgba(223, 226, 243, 0.32);\n margin: 0.5em;\n padding: 0.5em;\n}\nfooter {\n font-style: italic;\n margin: 2em 0 1em 0;\n background: inherit;\n}\n/* addthis nonsense */\n.at-floatingbar-inner {\n width: 10px;\n}\n/* =========================================================== */\nfigure {\n display: inline-block;\n border: 1px solid grey;\n background: #F0F0F0;\n padding: 0.5em 0.5em 0 0.5em;\n text-align: center;\n}\nfigure canvas {\n display: inline-block;\n background: white;\n border: 1px solid lightgrey;\n}\nfigure figcaption {\n text-align: center;\n padding: 0.5em 0;\n font-style: italic;\n font-size: 90%;\n}\n", ""]);
|
||||
|
||||
// exports
|
||||
|
||||
|
||||
/***/ },
|
||||
/* 174 */
|
||||
/* 176 */
|
||||
/***/ function(module, exports) {
|
||||
|
||||
/*
|
||||
@@ -22789,20 +22921,20 @@
|
||||
};
|
||||
|
||||
|
||||
/***/ },
|
||||
/* 175 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
module.exports = __webpack_require__.p + "7d3b28205544712db60d1bb7973f10f3.png";
|
||||
|
||||
/***/ },
|
||||
/* 176 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
module.exports = __webpack_require__.p + "a82c213aa38c43ee54e3b86ba5bdb987.gif";
|
||||
|
||||
/***/ },
|
||||
/* 177 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
module.exports = __webpack_require__.p + "images/packed/7d3b28205544712db60d1bb7973f10f3.png";
|
||||
|
||||
/***/ },
|
||||
/* 178 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
module.exports = __webpack_require__.p + "images/packed/a82c213aa38c43ee54e3b86ba5bdb987.gif";
|
||||
|
||||
/***/ },
|
||||
/* 179 */
|
||||
/***/ function(module, exports, __webpack_require__) {
|
||||
|
||||
/*
|
||||
|
||||
@@ -20,8 +20,11 @@ var Graphic = React.createClass({
|
||||
cx:0,
|
||||
cy:0,
|
||||
mp: { x: 0, y: 0},
|
||||
offset: { x: 0, y: 0},
|
||||
lpts: [],
|
||||
|
||||
render: function() {
|
||||
var href = "data:text/plain," + this.props.code;
|
||||
return (
|
||||
<figure>
|
||||
<canvas ref="canvas"
|
||||
@@ -93,10 +96,14 @@ var Graphic = React.createClass({
|
||||
this.my = evt.offsetY;
|
||||
},
|
||||
|
||||
|
||||
|
||||
/**
|
||||
* API for curve drawing.
|
||||
*/
|
||||
|
||||
|
||||
|
||||
reset: function() {
|
||||
this.refs.canvas.width = this.refs.canvas.width;
|
||||
this.ctx.strokeStyle = "black";
|
||||
@@ -179,6 +186,16 @@ var Graphic = React.createClass({
|
||||
else {this.drawLine(pts[2], pts[3], offset); }
|
||||
this.ctx.strokeStyle = "black";
|
||||
this.drawPoints(pts, offset);
|
||||
this.drawCoordinates(curve, offset);
|
||||
},
|
||||
|
||||
drawCoordinates: function(curve, offset) {
|
||||
offset = offset || { x:0, y:0 };
|
||||
var pts = curve.points;
|
||||
this.setFill("black");
|
||||
pts.forEach(p => {
|
||||
this.drawText(`(${p.x},${p.y})`, {x:p.x + 5, y:p.y + 10});
|
||||
});
|
||||
},
|
||||
|
||||
drawCurve: function(curve, offset) {
|
||||
@@ -216,12 +233,7 @@ var Graphic = React.createClass({
|
||||
},
|
||||
|
||||
drawPoint: function(p, offset) {
|
||||
offset = offset || { x:0, y:0 };
|
||||
var ox = offset.x + this.offset.x;
|
||||
var oy = offset.y + this.offset.y;
|
||||
this.ctx.beginPath();
|
||||
this.ctx.arc(p.x + ox, p.y + oy, 5, 0, 2*Math.PI);
|
||||
this.ctx.stroke();
|
||||
this.drawCircle(p, 1, offset);
|
||||
},
|
||||
|
||||
drawPoints: function(points, offset) {
|
||||
|
||||
36
components/sections/explanation/circle.js
Normal file
36
components/sections/explanation/circle.js
Normal file
@@ -0,0 +1,36 @@
|
||||
module.exports = {
|
||||
setup: function(sketch) {
|
||||
},
|
||||
|
||||
draw: function(sketch, curve) {
|
||||
var dim = sketch.getPanelWidth(),
|
||||
w = dim,
|
||||
h = dim,
|
||||
w2 = w/2,
|
||||
h2 = h/2,
|
||||
w4 = w2/2,
|
||||
h4 = h2/2;
|
||||
|
||||
sketch.reset();
|
||||
sketch.setColor("black");
|
||||
sketch.drawLine({x:0,y:h2},{x:w,y:h2});
|
||||
sketch.drawLine({x:w2,y:0},{x:w2,y:h});
|
||||
|
||||
var offset = {x:w2, y:h2};
|
||||
for(var t=0, p; t<=5; t+=0.1) {
|
||||
p = {
|
||||
x: w4 * Math.cos(t),
|
||||
y: h4 * Math.sin(t)
|
||||
};
|
||||
sketch.drawPoint(p, offset);
|
||||
var modulo = t % 1;
|
||||
if(modulo<0.05 || modulo> 0.95) {
|
||||
sketch.drawText("t = " + Math.round(t), {
|
||||
x: offset.x + 1.25 * w4 * Math.cos(t) - 10,
|
||||
y: offset.y + 1.25 * h4 * Math.sin(t) + 5
|
||||
});
|
||||
sketch.drawCircle(p, 2, offset);
|
||||
}
|
||||
}
|
||||
}
|
||||
};
|
||||
@@ -4,13 +4,11 @@ var SectionHeader = require("../../SectionHeader.jsx");
|
||||
var LaTeX = require("../../LaTeX.jsx");
|
||||
|
||||
var Explanation = React.createClass({
|
||||
circle: require("./circle"),
|
||||
|
||||
setup: function(api) {
|
||||
|
||||
},
|
||||
|
||||
draw: function(api, curve) {
|
||||
|
||||
componentWillMount: function() {
|
||||
this.setup = this.circle.setup.bind(this);
|
||||
this.draw = this.circle.draw.bind(this);
|
||||
},
|
||||
|
||||
render: function() {
|
||||
|
||||
@@ -3,86 +3,13 @@ var Graphic = require("../../Graphic.jsx");
|
||||
var SectionHeader = require("../../SectionHeader.jsx");
|
||||
var LaTeX = require("../../LaTeX.jsx");
|
||||
|
||||
|
||||
var Whatis = React.createClass({
|
||||
interpolation: require("./interpolation"),
|
||||
|
||||
setup: function(api) {
|
||||
this.offset = 20;
|
||||
var curve = api.getDefaultQuadratic();
|
||||
api.setPanelCount(3);
|
||||
api.setCurve(curve);
|
||||
this.dim = api.getPanelWidth();
|
||||
},
|
||||
|
||||
draw: function(api, curve) {
|
||||
var pts = curve.points;
|
||||
var p1 = pts[0], p2=pts[1], p3 = pts[2];
|
||||
var p1e = {
|
||||
x: p1.x + 0.2 * (p2.x - p1.x),
|
||||
y: p1.y + 0.2 * (p2.y - p1.y)
|
||||
};
|
||||
|
||||
var p2e = {
|
||||
x: p2.x + 0.2 * (p3.x - p2.x),
|
||||
y: p2.y + 0.2 * (p3.y - p2.y)
|
||||
};
|
||||
|
||||
var m = {
|
||||
x: p1e.x + 0.2 * (p2e.x - p1e.x),
|
||||
y: p1e.y + 0.2 * (p2e.y - p1e.y)
|
||||
}
|
||||
|
||||
api.reset();
|
||||
|
||||
api.setColor("black");
|
||||
api.setFill("black");
|
||||
api.drawSkeleton(curve);
|
||||
api.drawCurve(curve);
|
||||
|
||||
// draw 20% off-start points and struts
|
||||
api.setColor("blue");
|
||||
api.setWeight(2);
|
||||
|
||||
api.drawLine(p1, p1e);
|
||||
api.drawLine(p2, p2e);
|
||||
api.drawCircle(p1e,3);
|
||||
api.drawCircle(p2e,3);
|
||||
|
||||
api.drawText("linear interpolation distance: " + this.offset + "%", {x:5, y:15});
|
||||
api.drawText("linear interpolation between the first set of points", {x:5, y:this.dim-5});
|
||||
|
||||
// next panel
|
||||
api.setColor("black");
|
||||
api.setWeight(1);
|
||||
api.setOffset({x:this.dim, y:0});
|
||||
api.drawLine({x:0, y:0}, {x:0, y:this.dim});
|
||||
|
||||
api.drawSkeleton(curve);
|
||||
api.drawCurve(curve);
|
||||
|
||||
api.setColor("lightgrey");
|
||||
api.drawLine(p1e, p2e);
|
||||
api.drawCircle(p1e,3);
|
||||
api.drawCircle(p2e,3);
|
||||
|
||||
api.setColor("blue");
|
||||
api.setWeight(2);
|
||||
api.drawLine(p1e, m);
|
||||
api.drawCircle(m,3);
|
||||
|
||||
api.drawText("same linear interpolation distance: " + this.offset + "%", {x:5, y:15});
|
||||
api.drawText("linear interpolation between the second set of points", {x:5, y:this.dim-5});
|
||||
|
||||
// next panel
|
||||
api.setColor("black");
|
||||
api.setWeight(1);
|
||||
api.setOffset({x:2*this.dim, y:0});
|
||||
api.drawLine({x:0, y:0}, {x:0, y:this.dim});
|
||||
|
||||
api.drawSkeleton(curve);
|
||||
api.drawCurve(curve);
|
||||
api.drawCircle(m,3);
|
||||
|
||||
api.drawText("the second interpolation turns out to be a curve point!", {x:5, y:this.dim-5});
|
||||
componentWillMount: function() {
|
||||
this.setup = this.interpolation.setup.bind(this);
|
||||
this.draw = this.interpolation.draw.bind(this);
|
||||
},
|
||||
|
||||
render: function() {
|
||||
@@ -119,7 +46,7 @@ var Whatis = React.createClass({
|
||||
points, between which we can again perform linear interpolation, yielding a single point. And that
|
||||
point, and all points we can form in this way for all distances taken together, form our Bézier curve:</p>
|
||||
|
||||
<Graphic preset="threepanel" title="Linear Interpolation leading to Bézier curves" setup={this.setup} draw={this.draw}/>
|
||||
<Graphic title="Linear Interpolation leading to Bézier curves" setup={this.setup} draw={this.draw}/>
|
||||
|
||||
<p>And that brings us to the complicated maths: calculus. While it doesn't look like that's what we've just done,
|
||||
we actually just drew a quadratic curve, in steps, rather than in a single go. One of the fascinating parts
|
||||
|
||||
143
components/sections/whatis/interpolation.js
Normal file
143
components/sections/whatis/interpolation.js
Normal file
@@ -0,0 +1,143 @@
|
||||
module.exports = {
|
||||
|
||||
setup: function(sketch) {
|
||||
this.offset = 20;
|
||||
var curve = sketch.getDefaultQuadratic();
|
||||
sketch.setPanelCount(3);
|
||||
sketch.setCurve(curve);
|
||||
this.dim = sketch.getPanelWidth();
|
||||
},
|
||||
|
||||
draw: function(sketch, curve) {
|
||||
var pts = curve.points;
|
||||
var p1 = pts[0], p2=pts[1], p3 = pts[2];
|
||||
|
||||
var p1e = {
|
||||
x: p1.x + 0.2 * (p2.x - p1.x),
|
||||
y: p1.y + 0.2 * (p2.y - p1.y)
|
||||
};
|
||||
|
||||
var p2e = {
|
||||
x: p2.x + 0.2 * (p3.x - p2.x),
|
||||
y: p2.y + 0.2 * (p3.y - p2.y)
|
||||
};
|
||||
|
||||
var m = {
|
||||
x: p1e.x + 0.2 * (p2e.x - p1e.x),
|
||||
y: p1e.y + 0.2 * (p2e.y - p1e.y)
|
||||
}
|
||||
|
||||
var p1e2 = {
|
||||
x: p1.x + 0.4 * (p2.x - p1.x),
|
||||
y: p1.y + 0.4 * (p2.y - p1.y)
|
||||
};
|
||||
|
||||
var p2e2 = {
|
||||
x: p2.x + 0.4 * (p3.x - p2.x),
|
||||
y: p2.y + 0.4 * (p3.y - p2.y)
|
||||
};
|
||||
|
||||
var m2 = {
|
||||
x: p1e2.x + 0.4 * (p2e2.x - p1e2.x),
|
||||
y: p1e2.y + 0.4 * (p2e2.y - p1e2.y)
|
||||
}
|
||||
|
||||
var p1e3 = {
|
||||
x: p1.x + 0.6 * (p2.x - p1.x),
|
||||
y: p1.y + 0.6 * (p2.y - p1.y)
|
||||
};
|
||||
|
||||
var p2e3 = {
|
||||
x: p2.x + 0.6 * (p3.x - p2.x),
|
||||
y: p2.y + 0.6 * (p3.y - p2.y)
|
||||
};
|
||||
|
||||
var m3 = {
|
||||
x: p1e3.x + 0.6 * (p2e3.x - p1e3.x),
|
||||
y: p1e3.y + 0.6 * (p2e3.y - p1e3.y)
|
||||
}
|
||||
|
||||
sketch.reset();
|
||||
|
||||
sketch.setColor("black");
|
||||
sketch.setFill("black");
|
||||
sketch.drawSkeleton(curve);
|
||||
sketch.drawCurve(curve);
|
||||
|
||||
// draw 20% off-start points and struts
|
||||
sketch.setWeight(2);
|
||||
|
||||
sketch.setColor("blue");
|
||||
sketch.drawLine(p1, p1e);
|
||||
sketch.drawLine(p2, p2e);
|
||||
sketch.drawCircle(p1e,3);
|
||||
sketch.drawCircle(p2e,3);
|
||||
|
||||
sketch.setColor("red");
|
||||
sketch.drawLine(p1e, p1e2);
|
||||
sketch.drawLine(p2e, p2e2);
|
||||
sketch.drawCircle(p1e2,3);
|
||||
sketch.drawCircle(p2e2,3);
|
||||
|
||||
sketch.setColor("green");
|
||||
sketch.drawLine(p1e2, p1e3);
|
||||
sketch.drawLine(p2e2, p2e3);
|
||||
sketch.drawCircle(p1e3,3);
|
||||
sketch.drawCircle(p2e3,3);
|
||||
|
||||
sketch.drawText("First linear interpolation at 20% / 40% / 60%", {x:5, y:15});
|
||||
|
||||
// next panel
|
||||
sketch.setColor("black");
|
||||
sketch.setWeight(1);
|
||||
sketch.setOffset({x:this.dim + 0.5, y:0});
|
||||
sketch.drawLine({x:0, y:0}, {x:0, y:this.dim});
|
||||
|
||||
sketch.drawSkeleton(curve);
|
||||
sketch.drawCurve(curve);
|
||||
|
||||
sketch.setColor("rgb(100,100,200)");
|
||||
sketch.drawLine(p1e, p2e);
|
||||
sketch.drawCircle(p1e,3);
|
||||
sketch.drawCircle(p2e,3);
|
||||
|
||||
sketch.setColor("rgb(200,100,100)");
|
||||
sketch.drawLine(p1e2, p2e2);
|
||||
sketch.drawCircle(p1e2,3);
|
||||
sketch.drawCircle(p2e2,3);
|
||||
|
||||
sketch.setColor("rgb(100,200,100)");
|
||||
sketch.drawLine(p1e3, p2e3);
|
||||
sketch.drawCircle(p1e3,3);
|
||||
sketch.drawCircle(p2e3,3);
|
||||
|
||||
sketch.setColor("blue");
|
||||
sketch.setWeight(2);
|
||||
sketch.drawLine(p1e, m);
|
||||
sketch.drawCircle(m,3);
|
||||
|
||||
sketch.setColor("red");
|
||||
sketch.drawLine(p1e2, m2);
|
||||
sketch.drawCircle(m2,3);
|
||||
|
||||
sketch.setColor("green");
|
||||
sketch.drawLine(p1e3, m3);
|
||||
sketch.drawCircle(m3,3);
|
||||
|
||||
sketch.drawText("Second interpolation at 20% / 40% / 60%", {x:5, y:15});
|
||||
|
||||
// next panel
|
||||
sketch.setColor("black");
|
||||
sketch.setWeight(1);
|
||||
sketch.setOffset({x: 2*this.dim + 0.5, y:0});
|
||||
sketch.drawLine({x:0, y:0}, {x:0, y:this.dim});
|
||||
|
||||
sketch.drawSkeleton(curve);
|
||||
sketch.drawCurve(curve);
|
||||
sketch.drawCircle(m,3);
|
||||
sketch.drawCircle(m2,3);
|
||||
sketch.drawCircle(m3,3);
|
||||
|
||||
sketch.drawText("Curve points for t = 0.2, t = 0.4, t = 0.6", {x:5, y:15});
|
||||
}
|
||||
};
|
||||
|
Before Width: | Height: | Size: 2.7 KiB After Width: | Height: | Size: 2.7 KiB |
|
Before Width: | Height: | Size: 4.7 KiB After Width: | Height: | Size: 4.7 KiB |
@@ -5,7 +5,7 @@ var ed = "\\]";
|
||||
* Is there going to be anything to convert here?
|
||||
*/
|
||||
function hasLaTeX(input) {
|
||||
return input.indexOf(op) + input.indexOf(ed) >= 0;
|
||||
return input.indexOf(op) !== -1 && input.indexOf(ed) !== -1;
|
||||
}
|
||||
|
||||
/**
|
||||
|
||||
@@ -6,7 +6,7 @@ var op = "<pre>";
|
||||
var ed = "</pre>";
|
||||
|
||||
function hasTokens(input) {
|
||||
return input.indexOf(op) + input.indexOf(ed) >= 0;
|
||||
return input.indexOf(op) !== -1 && input.indexOf(ed) !== -1;
|
||||
}
|
||||
|
||||
function fixPreBlocks(source) {
|
||||
|
||||
@@ -16,7 +16,7 @@ module.exports = {
|
||||
module: {
|
||||
loaders: [
|
||||
{ test: /\.txt$/, loader: "raw" },
|
||||
{ test: /\.(png|gif)$/, loader: "file" },
|
||||
{ test: /\.(png|gif)$/, loader: "file?name=images/packed/[hash].[ext]" },
|
||||
{ test: /\.less$/, loader: "style!css!less" },
|
||||
{
|
||||
test: /.jsx?$/,
|
||||
|
||||
Reference in New Issue
Block a user