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3.9 KiB
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1 line
3.9 KiB
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{"version":3,"file":"QuadraticUtils.mjs","sources":["../../src/utils/QuadraticUtils.ts"],"sourcesContent":["import { curves } from '../const';\n\n/**\n * Utilities for quadratic curves.\n * @private\n */\nexport class QuadraticUtils\n{\n /**\n * Calculate length of quadratic curve\n * @see {@link http://www.malczak.linuxpl.com/blog/quadratic-bezier-curve-length/}\n * for the detailed explanation of math behind this.\n * @private\n * @param fromX - x-coordinate of curve start point\n * @param fromY - y-coordinate of curve start point\n * @param cpX - x-coordinate of curve control point\n * @param cpY - y-coordinate of curve control point\n * @param toX - x-coordinate of curve end point\n * @param toY - y-coordinate of curve end point\n * @returns - Length of quadratic curve\n */\n static curveLength(\n fromX: number, fromY: number,\n cpX: number, cpY: number,\n toX: number, toY: number): number\n {\n const ax = fromX - (2.0 * cpX) + toX;\n const ay = fromY - (2.0 * cpY) + toY;\n const bx = (2.0 * cpX) - (2.0 * fromX);\n const by = (2.0 * cpY) - (2.0 * fromY);\n const a = 4.0 * ((ax * ax) + (ay * ay));\n const b = 4.0 * ((ax * bx) + (ay * by));\n const c = (bx * bx) + (by * by);\n\n const s = 2.0 * Math.sqrt(a + b + c);\n const a2 = Math.sqrt(a);\n const a32 = 2.0 * a * a2;\n const c2 = 2.0 * Math.sqrt(c);\n const ba = b / a2;\n\n return (\n (a32 * s)\n + (a2 * b * (s - c2))\n + (\n ((4.0 * c * a) - (b * b))\n * Math.log(((2.0 * a2) + ba + s) / (ba + c2))\n )\n ) / (4.0 * a32);\n }\n\n /**\n * Calculate the points for a quadratic bezier curve and then draws it.\n * Based on: https://stackoverflow.com/questions/785097/how-do-i-implement-a-bezier-curve-in-c\n * @private\n * @param cpX - Control point x\n * @param cpY - Control point y\n * @param toX - Destination point x\n * @param toY - Destination point y\n * @param points - Points to add segments to.\n */\n static curveTo(cpX: number, cpY: number, toX: number, toY: number, points: Array<number>): void\n {\n const fromX = points[points.length - 2];\n const fromY = points[points.length - 1];\n\n const n = curves._segmentsCount(\n QuadraticUtils.curveLength(fromX, fromY, cpX, cpY, toX, toY)\n );\n\n let xa = 0;\n let ya = 0;\n\n for (let i = 1; i <= n; ++i)\n {\n const j = i / n;\n\n xa = fromX + ((cpX - fromX) * j);\n ya = fromY + ((cpY - fromY) * j);\n\n points.push(xa + (((cpX + ((toX - cpX) * j)) - xa) * j),\n ya + (((cpY + ((toY - cpY) * j)) - ya) * j));\n }\n }\n}\n"],"names":[],"mappings":";AAMO,MAAM,eACb;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA,EAcI,OAAO,YACH,OAAe,OACf,KAAa,KACb,KAAa,KACjB;AACI,UAAM,KAAK,QAAS,IAAM,MAAO,KAC3B,KAAK,QAAS,IAAM,MAAO,KAC3B,KAAM,IAAM,MAAQ,IAAM,OAC1B,KAAM,IAAM,MAAQ,IAAM,OAC1B,IAAI,KAAQ,KAAK,KAAO,KAAK,KAC7B,IAAI,KAAQ,KAAK,KAAO,KAAK,KAC7B,IAAK,KAAK,KAAO,KAAK,IAEtB,IAAI,IAAM,KAAK,KAAK,IAAI,IAAI,CAAC,GAC7B,KAAK,KAAK,KAAK,CAAC,GAChB,MAAM,IAAM,IAAI,IAChB,KAAK,IAAM,KAAK,KAAK,CAAC,GACtB,KAAK,IAAI;AAGV,YAAA,MAAM,IACA,KAAK,KAAK,IAAI,OAEX,IAAM,IAAI,IAAM,IAAI,KACrB,KAAK,KAAM,IAAM,KAAM,KAAK,MAAM,KAAK,GAAG,MAElD,IAAM;AAAA,EACf;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA;AAAA,EAYA,OAAO,QAAQ,KAAa,KAAa,KAAa,KAAa,QACnE;AACI,UAAM,QAAQ,OAAO,OAAO,SAAS,CAAC,GAChC,QAAQ,OAAO,OAAO,SAAS,CAAC,GAEhC,IAAI,OAAO;AAAA,MACb,eAAe,YAAY,OAAO,OAAO,KAAK,KAAK,KAAK,GAAG;AAAA,IAAA;AAG3D,QAAA,KAAK,GACL,KAAK;AAET,aAAS,IAAI,GAAG,KAAK,GAAG,EAAE,GAC1B;AACI,YAAM,IAAI,IAAI;AAET,WAAA,SAAU,MAAM,SAAS,GAC9B,KAAK,SAAU,MAAM,SAAS,GAE9B,OAAO;AAAA,QAAK,MAAQ,OAAQ,MAAM,OAAO,IAAM,MAAM;AAAA,QACjD,MAAQ,OAAQ,MAAM,OAAO,IAAM,MAAM;AAAA,MAAA;AAAA,IACjD;AAAA,EACJ;AACJ;"} |