Initial commit

node_modules/@mapbox/unitbezier/LICENSE

@@ -0,0 +1,28 @@
+BSD-2-Clause
+
+Copyright (C) 2008 Apple Inc. All Rights Reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+
+1. Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY APPLE INC. ``AS IS'' AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL APPLE INC. OR
+CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+Ported from Webkit
+http://svn.webkit.org/repository/webkit/trunk/Source/WebCore/platform/graphics/UnitBezier.h

node_modules/@mapbox/unitbezier/README.md

@@ -0,0 +1,17 @@
+[![Build Status](https://travis-ci.org/mapbox/unitbezier.svg)](https://travis-ci.org/mapbox/unitbezier)
+
+# unitbezier
+
+Unit bezier interpolation function: a port to JavaScript from Webkit:
+
+http://svn.webkit.org/repository/webkit/trunk/Source/WebCore/platform/graphics/UnitBezier.h
+
+## api
+
+### new UnitBezier(p1x, p1y, p2x, p2y)
+
+Initialize a new bezier curve given the points
+
+### bezier.solve(x, epsilon)
+
+Evaluate bezier for value `x` (ranging from 0 to 1) with `epsilon` precision (1e-6 by default).

node_modules/@mapbox/unitbezier/index.d.ts

@@ -0,0 +1,8 @@
+export default class UnitBezier {
+    constructor(p1x: number, p1y: number, p2x: number, p2y: number);
+    sampleCurveX(t: number): number;
+    sampleCurveY(t: number): number;
+    sampleCurveDerivativeX(t: number): number;
+    solveCurveX(x: number, epsilon?: number): number;
+    solve(x: number, epsilon?: number): number;
+}

node_modules/@mapbox/unitbezier/index.js

@@ -0,0 +1,78 @@
+'use strict';
+
+module.exports = UnitBezier;
+
+function UnitBezier(p1x, p1y, p2x, p2y) {
+    // Calculate the polynomial coefficients, implicit first and last control points are (0,0) and (1,1).
+    this.cx = 3.0 * p1x;
+    this.bx = 3.0 * (p2x - p1x) - this.cx;
+    this.ax = 1.0 - this.cx - this.bx;
+
+    this.cy = 3.0 * p1y;
+    this.by = 3.0 * (p2y - p1y) - this.cy;
+    this.ay = 1.0 - this.cy - this.by;
+
+    this.p1x = p1x;
+    this.p1y = p1y;
+    this.p2x = p2x;
+    this.p2y = p2y;
+}
+
+UnitBezier.prototype = {
+    sampleCurveX: function (t) {
+        // `ax t^3 + bx t^2 + cx t' expanded using Horner's rule.
+        return ((this.ax * t + this.bx) * t + this.cx) * t;
+    },
+
+    sampleCurveY: function (t) {
+        return ((this.ay * t + this.by) * t + this.cy) * t;
+    },
+
+    sampleCurveDerivativeX: function (t) {
+        return (3.0 * this.ax * t + 2.0 * this.bx) * t + this.cx;
+    },
+
+    solveCurveX: function (x, epsilon) {
+        if (epsilon === undefined) epsilon = 1e-6;
+
+        if (x < 0.0) return 0.0;
+        if (x > 1.0) return 1.0;
+
+        var t = x;
+
+        // First try a few iterations of Newton's method - normally very fast.
+        for (var i = 0; i < 8; i++) {
+            var x2 = this.sampleCurveX(t) - x;
+            if (Math.abs(x2) < epsilon) return t;
+
+            var d2 = this.sampleCurveDerivativeX(t);
+            if (Math.abs(d2) < 1e-6) break;
+
+            t = t - x2 / d2;
+        }
+
+        // Fall back to the bisection method for reliability.
+        var t0 = 0.0;
+        var t1 = 1.0;
+        t = x;
+
+        for (i = 0; i < 20; i++) {
+            x2 = this.sampleCurveX(t);
+            if (Math.abs(x2 - x) < epsilon) break;
+
+            if (x > x2) {
+                t0 = t;
+            } else {
+                t1 = t;
+            }
+
+            t = (t1 - t0) * 0.5 + t0;
+        }
+
+        return t;
+    },
+
+    solve: function (x, epsilon) {
+        return this.sampleCurveY(this.solveCurveX(x, epsilon));
+    }
+};

node_modules/@mapbox/unitbezier/package.json

@@ -0,0 +1,39 @@
+{
+  "name": "@mapbox/unitbezier",
+  "version": "0.0.1",
+  "description": "unit bezier curve interpolation",
+  "main": "index.js",
+  "typings": "index.d.ts",
+  "scripts": {
+    "pretest": "eslint index.js test/*.js",
+    "test": "node test/unitbezier.js"
+  },
+  "files": [
+    "index.js",
+    "index.d.ts"
+  ],
+  "repository": {
+    "type": "git",
+    "url": "git@github.com:mapbox/unitbezier.git"
+  },
+  "keywords": [
+    "unit",
+    "bezier",
+    "interpolation",
+    "webkit"
+  ],
+  "author": "",
+  "license": "BSD-2-Clause",
+  "bugs": {
+    "url": "https://github.com/mapbox/unitbezier/issues"
+  },
+  "homepage": "https://github.com/mapbox/unitbezier",
+  "devDependencies": {
+    "eslint": "^8.0.1",
+    "eslint-config-mourner": "^2.0.3",
+    "tape": "^5.3.1"
+  },
+  "eslintConfig": {
+    "extends": "mourner"
+  }
+}