@tolokoban/tgd
Version:
ToloGameDev library for WebGL2
254 lines • 21 kB
JavaScript
/* eslint-disable unicorn/prefer-modern-math-apis */
import { vec3 } from "gl-matrix";
import { tgdCalcMix } from "./math.js";
export class TgdVec3 extends Float32Array {
static newFrom([x, y, z]) {
return new TgdVec3(x, y, z);
}
static newFromMix([x1, y1, z1], [x2, y2, z2], a = 0.5) {
const b = 1 - a;
const x = b * x1 + a * x2;
const y = b * y1 + a * y2;
const z = b * z1 + a * z2;
return new TgdVec3(x, y, z);
}
static distance(from, to) {
const [x1, y1, z1] = from;
const [x2, y2, z2] = to;
const x = x2 - x1;
const y = y2 - y1;
const z = z2 - z1;
return Math.sqrt(x * x + y * y + z * z);
}
static center(points) {
const center = new TgdVec3();
if (points.length === 0)
return center;
for (const point of points) {
center.add(point);
}
center.scale(1 / points.length);
return center;
}
constructor(x = 0, y = 0, z = 0) {
super(3);
if (typeof x !== "number") {
this.x = x[0];
this.y = x[1];
this.z = x[2];
return;
}
this.x = x;
this.y = y;
this.z = z;
}
clone() {
return new TgdVec3(this);
}
mix(vec, alpha = 0.5) {
const beta = 1 - alpha;
this.x = beta * this.x + alpha * vec.x;
this.y = beta * this.y + alpha * vec.y;
this.z = beta * this.z + alpha * vec.z;
return this;
}
isEqual(vec) {
const [x, y, z] = vec;
if (x !== this.x)
return false;
if (y !== this.y)
return false;
if (z !== this.z)
return false;
return true;
}
isClose(vec, epsilon = 1e-6) {
const [x, y, z] = vec;
if (Math.abs(x - this.x) > epsilon)
return false;
if (Math.abs(y - this.y) > epsilon)
return false;
if (Math.abs(z - this.z) > epsilon)
return false;
return true;
}
/**
* __Warning__, for performance reason, `axis` is supposed to be of length 1.
* Otherwise, the result will be a vector rotated then scaled by the length of `axis`.
*/
rotateAround(axis, angleInRadians) {
// result := V.cos(a) + (K×V).sin(a) + K(K.V)(1 - cos(a))
const C = Math.cos(angleInRadians);
const S = Math.sin(angleInRadians);
const [Vx, Vy, Vz] = this;
const [Kx, Ky, Kz] = axis;
const dot = Vx * Kx + Vy * Ky + Vz * Kz;
const crossX = Ky * Vz - Kz * Vy;
const crossY = Kz * Vx - Kx * Vz;
const crossZ = Kx * Vy - Ky * Vx;
const a = dot * (1 - C);
this.x = Vx * C + crossX * S + Kx * a;
this.y = Vy * C + crossY * S + Ky * a;
this.z = Vz * C + crossZ * S + Kz * a;
return this;
}
/**
* V := M×V
*/
applyMatrix(matrix) {
const { x, y, z } = this;
this.x = x * matrix.m00 + y * matrix.m10 + z * matrix.m20;
this.y = x * matrix.m01 + y * matrix.m11 + z * matrix.m21;
this.z = x * matrix.m02 + y * matrix.m12 + z * matrix.m22;
return this;
}
applyQuaternion(quaternion) {
vec3.transformQuat(this, this, quaternion);
return this;
}
from(vec) {
const [x, y, z] = vec;
this.x = x;
this.y = y;
this.z = z;
return this;
}
/**
* `this = -vec`
*/
fromOpposite(vec) {
const [x, y, z] = vec;
this.x = -x;
this.y = -y;
this.z = -z;
return this;
}
fromMix(valueAtT0, valueAtT1, t) {
const [ax, ay, az] = valueAtT0;
const [bx, by, bz] = valueAtT1;
return this.reset(tgdCalcMix(ax, bx, t), tgdCalcMix(ay, by, t), tgdCalcMix(az, bz, t));
}
reset(x = 0, y = 0, z = 0) {
this[0] = x;
this[1] = y;
this[2] = z;
return this;
}
distanceToLineSquared(origin, normalizedDirection) {
const [mx, my, mz] = this;
const [ox, oy, oz] = origin;
const [dx, dy, dz] = normalizedDirection;
const OH = dx * (mx - ox) + dy * (my - oy) + dz * (mz - oz);
const hx = ox + OH * dx;
const hy = oy + OH * dy;
const hz = oz + OH * dz;
const x = mx - hx;
const y = my - hy;
const z = mz - hz;
return x * x + y * y + z * z;
}
get x() {
return this[0];
}
set x(value) {
this[0] = value;
}
get y() {
return this[1];
}
set y(value) {
this[1] = value;
}
get z() {
return this[2];
}
set z(value) {
this[2] = value;
}
add(...vectors) {
for (const vec of vectors) {
const [x, y, z] = vec;
this[0] += x;
this[1] += y;
this[2] += z;
}
return this;
}
addWithScale(vec, scale) {
this[0] += vec.x * scale;
this[1] += vec.y * scale;
this[2] += vec.z * scale;
return this;
}
subtract(vec) {
this[0] -= vec[0];
this[1] -= vec[1];
this[2] -= vec[2];
return this;
}
scale(factor) {
this[0] *= factor;
this[1] *= factor;
this[2] *= factor;
return this;
}
scale2(factor) {
const [x, y] = factor;
this[0] *= x;
this[1] *= y;
return this;
}
scale3(factor) {
const [x, y, z] = factor;
this[0] *= x;
this[1] *= y;
this[2] *= z;
return this;
}
dot(vec) {
return this[0] * vec[0] + this[1] * vec[1] + this[2] * vec[2];
}
get size() {
return Math.sqrt(this[0] * this[0] + this[1] * this[1] + this[2] * this[2]);
}
normalize() {
const squareLength = this[0] * this[0] + this[1] * this[1] + this[2] * this[2];
if (squareLength === 0)
return this;
return this.scale(1 / Math.sqrt(squareLength));
}
cross(vec) {
const [x1, y1, z1] = this;
const [x2, y2, z2] = vec;
this[0] = y1 * z2 - y2 * z1;
this[1] = z1 * x2 - z2 * x1;
this[2] = x1 * y2 - x2 * y1;
return this;
}
fromCross(vec1, vec2) {
const [x1, y1, z1] = vec1;
const [x2, y2, z2] = vec2;
this[0] = y1 * z2 - y2 * z1;
this[1] = z1 * x2 - z2 * x1;
this[2] = x1 * y2 - x2 * y1;
return this;
}
/**
* Set random values between -0.5 and +0.5 to each coordinate.
*/
random() {
this[0] = Math.random() - 0.5;
this[1] = Math.random() - 0.5;
this[2] = Math.random() - 0.5;
return this;
}
debug(caption = "vec3") {
const { x, y, z } = this;
const out = [x, y, z].map((n) => n.toFixed(6));
console.debug(`${caption}: `, out.join(" | "), " length:", Math.sqrt(x * x + y * y + z * z));
}
}
TgdVec3.X = new TgdVec3(1, 0, 0);
TgdVec3.Y = new TgdVec3(0, 1, 0);
TgdVec3.Z = new TgdVec3(0, 0, 1);
//# sourceMappingURL=data:application/json;base64,{"version":3,"file":"vec3.js","sourceRoot":"","sources":["../../src/math/vec3.ts"],"names":[],"mappings":"AAAA,oDAAoD;AACpD,OAAO,EAAE,IAAI,EAAE,MAAM,WAAW,CAAA;AAIhC,OAAO,EAAE,UAAU,EAAE,MAAM,QAAQ,CAAA;AAInC,MAAM,OAAO,OAAQ,SAAQ,YAAY;IAKrC,MAAM,CAAC,OAAO,CAAC,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAkD;QACrE,OAAO,IAAI,OAAO,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAA;IAC/B,CAAC;IAED,MAAM,CAAC,UAAU,CACb,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAkD,EAC7D,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAkD,EAC7D,CAAC,GAAG,GAAG;QAEP,MAAM,CAAC,GAAG,CAAC,GAAG,CAAC,CAAA;QACf,MAAM,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,CAAA;QACzB,MAAM,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,CAAA;QACzB,MAAM,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,CAAA;QACzB,OAAO,IAAI,OAAO,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAA;IAC/B,CAAC;IAED,MAAM,CAAC,QAAQ,CAAC,IAAsC,EAAE,EAAoC;QACxF,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,EAAE,CAAA;QACvB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,OAAO,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAA;IAC3C,CAAC;IAED,MAAM,CAAC,MAAM,CAAC,MAAqC;QAC/C,MAAM,MAAM,GAAG,IAAI,OAAO,EAAE,CAAA;QAC5B,IAAI,MAAM,CAAC,MAAM,KAAK,CAAC;YAAE,OAAO,MAAM,CAAA;QAEtC,KAAK,MAAM,KAAK,IAAI,MAAM,EAAE,CAAC;YACzB,MAAM,CAAC,GAAG,CAAC,KAAK,CAAC,CAAA;QACrB,CAAC;QACD,MAAM,CAAC,KAAK,CAAC,CAAC,GAAG,MAAM,CAAC,MAAM,CAAC,CAAA;QAC/B,OAAO,MAAM,CAAA;IACjB,CAAC;IAOD,YAAY,IAA+C,CAAC,EAAE,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC;QACtE,KAAK,CAAC,CAAC,CAAC,CAAA;QACR,IAAI,OAAO,CAAC,KAAK,QAAQ,EAAE,CAAC;YACxB,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAA;YACb,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAA;YACb,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAA;YACb,OAAM;QACV,CAAC;QACD,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;QACV,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;QACV,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;IACd,CAAC;IAED,KAAK;QACD,OAAO,IAAI,OAAO,CAAC,IAAI,CAAC,CAAA;IAC5B,CAAC;IAED,GAAG,CAAC,GAAsB,EAAE,KAAK,GAAG,GAAG;QACnC,MAAM,IAAI,GAAG,CAAC,GAAG,KAAK,CAAA;QACtB,IAAI,CAAC,CAAC,GAAG,IAAI,GAAG,IAAI,CAAC,CAAC,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAA;QACtC,IAAI,CAAC,CAAC,GAAG,IAAI,GAAG,IAAI,CAAC,CAAC,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAA;QACtC,IAAI,CAAC,CAAC,GAAG,IAAI,GAAG,IAAI,CAAC,CAAC,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAA;QACtC,OAAO,IAAI,CAAA;IACf,CAAC;IAED,OAAO,CAAC,GAAqC;QACzC,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAA;QACrB,IAAI,CAAC,KAAK,IAAI,CAAC,CAAC;YAAE,OAAO,KAAK,CAAA;QAC9B,IAAI,CAAC,KAAK,IAAI,CAAC,CAAC;YAAE,OAAO,KAAK,CAAA;QAC9B,IAAI,CAAC,KAAK,IAAI,CAAC,CAAC;YAAE,OAAO,KAAK,CAAA;QAC9B,OAAO,IAAI,CAAA;IACf,CAAC;IAED,OAAO,CAAC,GAAqC,EAAE,OAAO,GAAG,IAAI;QACzD,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAA;QACrB,IAAI,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,OAAO;YAAE,OAAO,KAAK,CAAA;QAChD,IAAI,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,OAAO;YAAE,OAAO,KAAK,CAAA;QAChD,IAAI,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,OAAO;YAAE,OAAO,KAAK,CAAA;QAChD,OAAO,IAAI,CAAA;IACf,CAAC;IAED;;;OAGG;IACH,YAAY,CAAC,IAAsC,EAAE,cAAsB;QACvE,yDAAyD;QACzD,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAA;QAClC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAA;QAClC,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,GAAG,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QACvC,MAAM,MAAM,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAChC,MAAM,MAAM,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAChC,MAAM,MAAM,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAChC,MAAM,CAAC,GAAG,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAA;QACvB,IAAI,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,MAAM,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAA;QACrC,IAAI,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,MAAM,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAA;QACrC,IAAI,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,GAAG,MAAM,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAA;QACrC,OAAO,IAAI,CAAA;IACf,CAAC;IAED;;OAEG;IACH,WAAW,CAAC,MAAmC;QAC3C,MAAM,EAAE,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,GAAG,IAAI,CAAA;QACxB,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,CAAA;QACzD,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,CAAA;QACzD,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,GAAG,CAAC,GAAG,MAAM,CAAC,GAAG,CAAA;QACzD,OAAO,IAAI,CAAA;IACf,CAAC;IAED,eAAe,CAAC,UAA4C;QACxD,IAAI,CAAC,aAAa,CAAC,IAAI,EAAE,IAAI,EAAE,UAAU,CAAC,CAAA;QAC1C,OAAO,IAAI,CAAA;IACf,CAAC;IAED,IAAI,CAAC,GAA+C;QAChD,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAA;QACrB,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;QACV,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;QACV,IAAI,CAAC,CAAC,GAAG,CAAC,CAAA;QACV,OAAO,IAAI,CAAA;IACf,CAAC;IAED;;OAEG;IACH,YAAY,CAAC,GAA+C;QACxD,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAA;QACrB,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAA;QACX,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAA;QACX,IAAI,CAAC,CAAC,GAAG,CAAC,CAAC,CAAA;QACX,OAAO,IAAI,CAAA;IACf,CAAC;IAED,OAAO,CAAC,SAA4B,EAAE,SAA4B,EAAE,CAAS;QACzE,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,SAAS,CAAA;QAC9B,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,SAAS,CAAA;QAC9B,OAAO,IAAI,CAAC,KAAK,CAAC,UAAU,CAAC,EAAE,EAAE,EAAE,EAAE,CAAC,CAAC,EAAE,UAAU,CAAC,EAAE,EAAE,EAAE,EAAE,CAAC,CAAC,EAAE,UAAU,CAAC,EAAE,EAAE,EAAE,EAAE,CAAC,CAAC,CAAC,CAAA;IAC1F,CAAC;IAED,KAAK,CAAC,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC;QACrB,IAAI,CAAC,CAAC,CAAC,GAAG,CAAC,CAAA;QACX,IAAI,CAAC,CAAC,CAAC,GAAG,CAAC,CAAA;QACX,IAAI,CAAC,CAAC,CAAC,GAAG,CAAC,CAAA;QACX,OAAO,IAAI,CAAA;IACf,CAAC;IAED,qBAAqB,CAAC,MAAe,EAAE,mBAA4B;QAC/D,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,MAAM,CAAA;QAC3B,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,mBAAmB,CAAA;QACxC,MAAM,EAAE,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,EAAE,CAAC,CAAA;QAC3D,MAAM,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QACvB,MAAM,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QACvB,MAAM,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QACvB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,MAAM,CAAC,GAAG,EAAE,GAAG,EAAE,CAAA;QACjB,OAAO,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAA;IAChC,CAAC;IAED,IAAI,CAAC;QACD,OAAO,IAAI,CAAC,CAAC,CAAC,CAAA;IAClB,CAAC;IACD,IAAI,CAAC,CAAC,KAAa;QACf,IAAI,CAAC,CAAC,CAAC,GAAG,KAAK,CAAA;IACnB,CAAC;IAED,IAAI,CAAC;QACD,OAAO,IAAI,CAAC,CAAC,CAAC,CAAA;IAClB,CAAC;IACD,IAAI,CAAC,CAAC,KAAa;QACf,IAAI,CAAC,CAAC,CAAC,GAAG,KAAK,CAAA;IACnB,CAAC;IAED,IAAI,CAAC;QACD,OAAO,IAAI,CAAC,CAAC,CAAC,CAAA;IAClB,CAAC;IACD,IAAI,CAAC,CAAC,KAAa;QACf,IAAI,CAAC,CAAC,CAAC,GAAG,KAAK,CAAA;IACnB,CAAC;IAED,GAAG,CAAC,GAAG,OAA4D;QAC/D,KAAK,MAAM,GAAG,IAAI,OAAO,EAAE,CAAC;YACxB,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAA;YACrB,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;YACZ,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;YACZ,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QAChB,CAAC;QACD,OAAO,IAAI,CAAA;IACf,CAAC;IAED,YAAY,CAAC,GAAsB,EAAE,KAAa;QAC9C,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,GAAG,KAAK,CAAA;QACxB,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,GAAG,KAAK,CAAA;QACxB,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,GAAG,KAAK,CAAA;QACxB,OAAO,IAAI,CAAA;IACf,CAAC;IAED,QAAQ,CAAC,GAA+C;QACpD,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,CAAC,CAAA;QACjB,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,CAAC,CAAA;QACjB,IAAI,CAAC,CAAC,CAAC,IAAI,GAAG,CAAC,CAAC,CAAC,CAAA;QACjB,OAAO,IAAI,CAAA;IACf,CAAC;IAED,KAAK,CAAC,MAAc;QAChB,IAAI,CAAC,CAAC,CAAC,IAAI,MAAM,CAAA;QACjB,IAAI,CAAC,CAAC,CAAC,IAAI,MAAM,CAAA;QACjB,IAAI,CAAC,CAAC,CAAC,IAAI,MAAM,CAAA;QACjB,OAAO,IAAI,CAAA;IACf,CAAC;IAED,MAAM,CAAC,MAA8B;QACjC,MAAM,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,MAAM,CAAA;QACrB,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QACZ,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QACZ,OAAO,IAAI,CAAA;IACf,CAAC;IAED,MAAM,CAAC,MAA8B;QACjC,MAAM,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,GAAG,MAAM,CAAA;QACxB,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QACZ,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QACZ,IAAI,CAAC,CAAC,CAAC,IAAI,CAAC,CAAA;QACZ,OAAO,IAAI,CAAA;IACf,CAAC;IAED,GAAG,CAAC,GAA+C;QAC/C,OAAO,IAAI,CAAC,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAA;IACjE,CAAC;IAED,IAAI,IAAI;QACJ,OAAO,IAAI,CAAC,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC,CAAA;IAC/E,CAAC;IAED,SAAS;QACL,MAAM,YAAY,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAA;QAC9E,IAAI,YAAY,KAAK,CAAC;YAAE,OAAO,IAAI,CAAA;QAEnC,OAAO,IAAI,CAAC,KAAK,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,YAAY,CAAC,CAAC,CAAA;IAClD,CAAC;IAED,KAAK,CAAC,GAA+C;QACjD,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,GAAG,CAAA;QACxB,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,OAAO,IAAI,CAAA;IACf,CAAC;IAED,SAAS,CACL,IAAgD,EAChD,IAAgD;QAEhD,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,MAAM,CAAC,EAAE,EAAE,EAAE,EAAE,EAAE,CAAC,GAAG,IAAI,CAAA;QACzB,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,IAAI,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAA;QAC3B,OAAO,IAAI,CAAA;IACf,CAAC;IAED;;OAEG;IACH,MAAM;QACF,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,GAAG,CAAA;QAC7B,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,GAAG,CAAA;QAC7B,IAAI,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,GAAG,CAAA;QAC7B,OAAO,IAAI,CAAA;IACf,CAAC;IAED,KAAK,CAAC,OAAO,GAAG,MAAM;QAClB,MAAM,EAAE,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,GAAG,IAAI,CAAA;QACxB,MAAM,GAAG,GAAa,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,EAAE,CAAC,CAAC,CAAC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAA;QACxD,OAAO,CAAC,KAAK,CAAC,GAAG,OAAO,MAAM,EAAE,GAAG,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,YAAY,EAAE,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAA;IACpG,CAAC;;AA9RM,SAAC,GAAsB,IAAI,OAAO,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAA;AAC3C,SAAC,GAAsB,IAAI,OAAO,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAA;AAC3C,SAAC,GAAsB,IAAI,OAAO,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,CAAC,CAAA"}