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优化vector2构造函数

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This commit is contained in:
yhh
2021-05-24 17:20:27 +08:00
parent 9c7703eb2d
commit da3ab02a8d
20 changed files with 177 additions and 109 deletions
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3
source/bin/framework.d.ts vendored
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@@ -450,6 +450,7 @@ declare module es {
* @param value2
*/
static divide(value1: Vector2, value2: Vector2): Vector2;
static divideScaler(value1: Vector2, value2: number): Vector2;
/**
*
* @param value1
@@ -566,6 +567,7 @@ declare module es {
* @param value
*/
divide(value: Vector2): Vector2;
divideScaler(value: number): Vector2;
/**
*
* @param value
@@ -2675,6 +2677,7 @@ declare module es {
substract(matrix: Matrix2D): Matrix2D;
divide(matrix: Matrix2D): Matrix2D;
multiply(matrix: Matrix2D): Matrix2D;
static multiply(matrix1: Matrix2D, matrix2: Matrix2D, result: Matrix2D): Matrix2D;
determinant(): number;
/**
* 创建一个新的Matrix2D，包含指定矩阵中的线性插值。

135
source/bin/framework.js
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@@ -170,9 +170,10 @@ var es;
* @param type
*/
Core.getGlobalManager = function (type) {
for (var i = 0; i < this._instance._globalManagers.length; i++) {
if (this._instance._globalManagers[i] instanceof type)
return this._instance._globalManagers[i];
for (var i = 0, s = Core._instance._globalManagers.length; i < s; ++i) {
var manager = Core._instance._globalManagers[i];
if (manager instanceof type)
return manager;
}
return null;
};
@@ -835,7 +836,7 @@ var es;
this.transform.setScale(scale);
}
else {
this.transform.setScale(new es.Vector2(scale));
this.transform.setScale(new es.Vector2(scale, scale));
}
return this;
};
@@ -844,7 +845,7 @@ var es;
this.transform.setLocalScale(scale);
}
else {
this.transform.setLocalScale(new es.Vector2(scale));
this.transform.setLocalScale(new es.Vector2(scale, scale));
}
return this;
};
@@ -1072,10 +1073,12 @@ var es;
* @param y 二维空间的y坐标
*/
function Vector2(x, y) {
if (x === void 0) { x = 0; }
if (y === void 0) { y = 0; }
this.x = 0;
this.y = 0;
this.x = x ? x : 0;
this.y = y != undefined ? y : this.x;
this.x = x;
this.y = y;
}
Object.defineProperty(Vector2, "zero", {
get: function () {
@@ -1127,13 +1130,19 @@ var es;
result.y = value1.y / value2.y;
return result;
};
Vector2.divideScaler = function (value1, value2) {
var result = Vector2.zero;
result.x = value1.x / value2;
result.y = value1.y / value2;
return result;
};
/**
*
* @param value1
* @param value2
*/
Vector2.multiply = function (value1, value2) {
var result = new Vector2(0, 0);
var result = es.Vector2.zero;
result.x = value1.x * value2.x;
result.y = value1.y * value2.y;
return result;
@@ -1145,7 +1154,7 @@ var es;
* @returns
*/
Vector2.multiplyScaler = function (value1, value2) {
var result = new Vector2(0, 0);
var result = es.Vector2.zero;
result.x = value1.x * value2;
result.y = value1.x * value2;
return result;
@@ -1156,7 +1165,7 @@ var es;
* @param value2
*/
Vector2.subtract = function (value1, value2) {
var result = new Vector2(0, 0);
var result = es.Vector2.zero;
result.x = value1.x - value2.x;
result.y = value1.y - value2.y;
return result;
@@ -1272,7 +1281,7 @@ var es;
* @returns
*/
Vector2.reflect = function (vector, normal) {
var result = new Vector2();
var result = es.Vector2.zero;
var val = 2 * ((vector.x * normal.x) + (vector.y * normal.y));
result.x = vector.x - (normal.x * val);
result.y = vector.y - (normal.y * val);
@@ -1306,6 +1315,11 @@ var es;
this.y /= value.y;
return this;
};
Vector2.prototype.divideScaler = function (value) {
this.x /= value;
this.y /= value;
return this;
};
/**
*
* @param value
@@ -2214,7 +2228,7 @@ var es;
/**
* 该刚体的速度
*/
_this.velocity = new es.Vector2();
_this.velocity = es.Vector2.zero;
_this._mass = 10;
_this._elasticity = 0.5;
_this._friction = 0.5;
@@ -2423,7 +2437,7 @@ var es;
* @param responseVelocity
*/
ArcadeRigidbody.prototype.calculateResponseVelocity = function (relativeVelocity, minimumTranslationVector, responseVelocity) {
if (responseVelocity === void 0) { responseVelocity = new es.Vector2(); }
if (responseVelocity === void 0) { responseVelocity = es.Vector2.zero; }
// 首先，我们得到反方向的归一化MTV：表面法线
var inverseMTV = es.Vector2.multiplyScaler(minimumTranslationVector, -1);
var normal = es.Vector2.normalize(inverseMTV);
@@ -3701,15 +3715,15 @@ var es;
for (var i = 0, s = this._components.length; i < s; ++i) {
this.handleRemove(this._components[i]);
}
this.componentsByType.clear();
this.componentsToAddByType.clear();
this._components.length = 0;
this._updatableComponents.length = 0;
this._componentsToAdd = {};
this._componentsToRemove = {};
this._componentsToAddList.length = 0;
this._componentsToRemoveList.length = 0;
}
this.componentsByType.clear();
this.componentsToAddByType.clear();
this._components.length = 0;
this._updatableComponents.length = 0;
this._componentsToAdd = {};
this._componentsToRemove = {};
this._componentsToAddList.length = 0;
this._componentsToRemoveList.length = 0;
};
ComponentList.prototype.deregisterAllComponents = function () {
if (this._components.length > 0) {
@@ -5209,14 +5223,14 @@ var es;
*/
Bezier.recursiveGetOptimizedDrawingPoints = function (start, firstCtrlPoint, secondCtrlPoint, end, points, distanceTolerance) {
// 计算线段的所有中点
var pt12 = es.Vector2.divide(es.Vector2.add(start, firstCtrlPoint), new es.Vector2(2));
var pt23 = es.Vector2.divide(es.Vector2.add(firstCtrlPoint, secondCtrlPoint), new es.Vector2(2));
var pt34 = es.Vector2.divide(es.Vector2.add(secondCtrlPoint, end), new es.Vector2(2));
var pt12 = es.Vector2.divideScaler(es.Vector2.add(start, firstCtrlPoint), 2);
var pt23 = es.Vector2.divideScaler(es.Vector2.add(firstCtrlPoint, secondCtrlPoint), 2);
var pt34 = es.Vector2.divideScaler(es.Vector2.add(secondCtrlPoint, end), 2);
// 计算新半直线的中点
var pt123 = es.Vector2.divide(es.Vector2.add(pt12, pt23), new es.Vector2(2));
var pt234 = es.Vector2.divide(es.Vector2.add(pt23, pt34), new es.Vector2(2));
var pt123 = es.Vector2.divideScaler(es.Vector2.add(pt12, pt23), 2);
var pt234 = es.Vector2.divideScaler(es.Vector2.add(pt23, pt34), 2);
// 最后再细分最后两个中点。如果我们满足我们的距离公差，这将是我们使用的最后一点。
var pt1234 = es.Vector2.divide(es.Vector2.add(pt123, pt234), new es.Vector2(2));
var pt1234 = es.Vector2.divideScaler(es.Vector2.add(pt123, pt234), 2);
// 试着用一条直线来近似整个三次曲线
var deltaLine = es.Vector2.subtract(end, start);
var d2 = Math.abs(((firstCtrlPoint.x, end.x) * deltaLine.y - (firstCtrlPoint.y - end.y) * deltaLine.x));
@@ -6218,6 +6232,21 @@ var es;
this.m32 = m32;
return this;
};
Matrix2D.multiply = function (matrix1, matrix2, result) {
var m11 = (matrix1.m11 * matrix2.m11) + (matrix1.m12 * matrix2.m21);
var m12 = (matrix1.m11 * matrix2.m12) + (matrix1.m12 * matrix2.m22);
var m21 = (matrix1.m21 * matrix2.m11) + (matrix1.m22 * matrix2.m21);
var m22 = (matrix1.m21 * matrix2.m12) + (matrix1.m22 * matrix2.m22);
var m31 = (matrix1.m31 * matrix2.m11) + (matrix1.m32 * matrix2.m21) + matrix2.m31;
var m32 = (matrix1.m31 * matrix2.m12) + (matrix1.m32 * matrix2.m22) + matrix2.m32;
result.m11 = m11;
result.m12 = m12;
result.m21 = m21;
result.m22 = m22;
result.m31 = m31;
result.m32 = m32;
return result;
};
Matrix2D.prototype.determinant = function () {
return this.m11 * this.m22 - this.m12 * this.m21;
};
@@ -6684,7 +6713,7 @@ var es;
*/
Rectangle.prototype.getClosestPointOnRectangleToPoint = function (point) {
// 对于每条轴，如果点在框外，就把它限制在框内，否则就不要管它
var res = new es.Vector2();
var res = es.Vector2.zero;
res.x = es.MathHelper.clamp(point.x, this.left, this.right);
res.y = es.MathHelper.clamp(point.y, this.top, this.bottom);
return res;
@@ -6697,7 +6726,7 @@ var es;
*/
Rectangle.prototype.getClosestPointOnRectangleBorderToPoint = function (point, edgeNormal) {
// 对于每条轴，如果点在框外，就把它限制在框内，否则就不要管它
var res = new es.Vector2();
var res = es.Vector2.zero;
res.x = es.MathHelper.clamp(point.x, this.left, this.right);
res.y = es.MathHelper.clamp(point.y, this.top, this.bottom);
// 如果点在矩形内，我们需要将res推到边界上，因为它将在矩形内
@@ -7090,7 +7119,7 @@ var es;
return true;
};
Collisions.lineToLineIntersection = function (a1, a2, b1, b2, intersection) {
if (intersection === void 0) { intersection = new es.Vector2(); }
if (intersection === void 0) { intersection = es.Vector2.zero; }
intersection.x = 0;
intersection.y = 0;
var b = es.Vector2.subtract(a2, a1);
@@ -8374,7 +8403,7 @@ var es;
if (!e.rayIntersects(ray, time) && time.value > 1)
return false;
// 求交点
var point = es.Vector2.add(ray.start, es.Vector2.multiply(ray.direction, new es.Vector2(time.value)));
var point = es.Vector2.add(ray.start, es.Vector2.multiplyScaler(ray.direction, time.value));
// 计算交点p位于b的哪个最小面和最大面之外。注意，u和v不能有相同的位集，它们之间必须至少有一个位集。
var u, v = 0;
if (point.x < b.bounds.left)
@@ -8406,7 +8435,7 @@ var es;
* @param n
*/
RealtimeCollisions.corner = function (b, n) {
var p = new es.Vector2();
var p = es.Vector2.zero;
p.x = (n & 1) == 0 ? b.right : b.left;
p.y = (n & 1) == 0 ? b.bottom : b.top;
return p;
@@ -8462,7 +8491,7 @@ var es;
var mtv = minkowskiDiff.getClosestPointOnBoundsToOrigin();
if (mtv.equals(es.Vector2.zero))
return false;
hit.normal = new es.Vector2(-mtv.x);
hit.normal = new es.Vector2(-mtv.x, -mtv.y);
hit.normal.normalize();
hit.distance = 0;
hit.fraction = 0;
@@ -8470,14 +8499,14 @@ var es;
}
else {
// 射线投射移动矢量
var ray = new es.Ray2D(es.Vector2.zero, new es.Vector2(-movement.x));
var ray = new es.Ray2D(es.Vector2.zero, new es.Vector2(-movement.x, -movement.y));
var fraction = new es.Ref(0);
if (minkowskiDiff.rayIntersects(ray, fraction) && fraction.value <= 1) {
hit.fraction = fraction.value;
hit.distance = movement.length() * fraction.value;
hit.normal = new es.Vector2(-movement.x, -movement.y);
hit.normal.normalize();
hit.centroid = es.Vector2.add(first.bounds.center, es.Vector2.multiply(movement, new es.Vector2(fraction.value)));
hit.centroid = es.Vector2.add(first.bounds.center, es.Vector2.multiplyScaler(movement, fraction.value));
return true;
}
}
@@ -8508,8 +8537,8 @@ var es;
if (collided) {
result.normal = es.Vector2.normalize(es.Vector2.subtract(first.position, second.position));
var depth = sumOfRadii - Math.sqrt(distanceSquared);
result.minimumTranslationVector = es.Vector2.multiply(new es.Vector2(-depth), result.normal);
result.point = es.Vector2.add(second.position, es.Vector2.multiply(result.normal, new es.Vector2(second.radius)));
result.minimumTranslationVector = es.Vector2.multiplyScaler(result.normal, -depth);
result.point = es.Vector2.add(second.position, es.Vector2.multiplyScaler(result.normal, second.radius));
// 这可以得到实际的碰撞点，可能有用也可能没用，所以我们暂时把它留在这里
// let collisionPointX = ((first.position.x * second.radius) + (second.position.x * first.radius)) / sumOfRadii;
// let collisionPointY = ((first.position.y * second.radius) + (second.position.y * first.radius)) / sumOfRadii;
@@ -8531,21 +8560,21 @@ var es;
if (box.containsPoint(circle.position)) {
result.point = closestPointOnBounds.clone();
// 计算MTV。找出安全的、非碰撞的位置，并从中得到MTV
var safePlace = es.Vector2.add(closestPointOnBounds, es.Vector2.multiply(result.normal, new es.Vector2(circle.radius)));
var safePlace = es.Vector2.add(closestPointOnBounds, es.Vector2.multiplyScaler(result.normal, circle.radius));
result.minimumTranslationVector = es.Vector2.subtract(circle.position, safePlace);
return true;
}
var sqrDistance = es.Vector2.distanceSquared(closestPointOnBounds, circle.position);
// 看框上的点距圆的半径是否小于圆的半径
if (sqrDistance == 0) {
result.minimumTranslationVector = es.Vector2.multiply(result.normal, new es.Vector2(circle.radius));
result.minimumTranslationVector = es.Vector2.multiplyScaler(result.normal, circle.radius);
}
else if (sqrDistance <= circle.radius * circle.radius) {
result.normal = es.Vector2.subtract(circle.position, closestPointOnBounds);
var depth = result.normal.length() - circle.radius;
result.point = closestPointOnBounds;
es.Vector2Ext.normalize(result.normal);
result.minimumTranslationVector = es.Vector2.multiply(new es.Vector2(depth), result.normal);
result.minimumTranslationVector = es.Vector2.multiplyScaler(result.normal, depth);
return true;
}
return false;
@@ -8575,7 +8604,7 @@ var es;
}
else {
var distance = Math.sqrt(distanceSquared.value);
mtv = es.Vector2.subtract(new es.Vector2(-1), es.Vector2.subtract(poly2Circle, closestPoint))
mtv = es.Vector2.multiplyScaler(es.Vector2.subtract(poly2Circle, closestPoint), -1)
.multiply(new es.Vector2((circle.radius - distance) / distance));
}
}
@@ -8588,7 +8617,7 @@ var es;
var w = es.Vector2.subtract(closestTo, lineA);
var t = es.Vector2.dot(w, v) / es.Vector2.dot(v, v);
t = es.MathHelper.clamp(t, 0, 1);
return es.Vector2.add(lineA, es.Vector2.multiply(v, new es.Vector2(t)));
return es.Vector2.add(lineA, es.Vector2.multiplyScaler(v, t));
};
return ShapeCollisionsCircle;
}());
@@ -8646,13 +8675,13 @@ var es;
var u = (c.x * b.y - c.y * b.x) / bDotDPerp;
if (u < 0 || u > 1)
return false;
intersection = es.Vector2.add(a1, es.Vector2.multiply(new es.Vector2(t), b));
intersection = es.Vector2.add(a1, es.Vector2.multiplyScaler(b, t));
return true;
};
ShapeCollisionsLine.lineToCircle = function (start, end, s, hit) {
// 计算这里的长度并分别对d进行标准化，因为如果我们命中了我们需要它来得到分数
var lineLength = es.Vector2.distance(start, end);
var d = es.Vector2.divide(es.Vector2.subtract(end, start), new es.Vector2(lineLength));
var d = es.Vector2.divideScaler(es.Vector2.subtract(end, start), lineLength);
var m = es.Vector2.subtract(start, s.position);
var b = es.Vector2.dot(m, d);
var c = es.Vector2.dot(m, m) - s.radius * s.radius;
@@ -8668,7 +8697,7 @@ var es;
// 如果分数为负数，射线从圈内开始，
if (hit.fraction < 0)
hit.fraction = 0;
hit.point = es.Vector2.add(start, es.Vector2.multiply(new es.Vector2(hit.fraction), d));
hit.point = es.Vector2.add(start, es.Vector2.multiplyScaler(d, hit.fraction));
hit.distance = es.Vector2.distance(start, hit.point);
hit.normal = es.Vector2.normalize(es.Vector2.subtract(hit.point, s.position));
hit.fraction = hit.distance / lineLength;
@@ -8690,8 +8719,8 @@ var es;
if (collided) {
result.normal = es.Vector2.normalize(es.Vector2.subtract(point, circle.position));
var depth = sumOfRadii - Math.sqrt(distanceSquared);
result.minimumTranslationVector = es.Vector2.multiply(new es.Vector2(-depth, -depth), result.normal);
result.point = es.Vector2.add(circle.position, es.Vector2.multiply(result.normal, new es.Vector2(circle.radius, circle.radius)));
result.minimumTranslationVector = es.Vector2.multiplyScaler(result.normal, -depth);
result.point = es.Vector2.add(circle.position, es.Vector2.multiplyScaler(result.normal, circle.radius));
return true;
}
return false;
@@ -8737,7 +8766,7 @@ var es;
var firstEdges = first.edgeNormals.slice();
var secondEdges = second.edgeNormals.slice();
var minIntervalDistance = Number.POSITIVE_INFINITY;
var translationAxis = new es.Vector2();
var translationAxis = es.Vector2.zero;
var polygonOffset = es.Vector2.subtract(first.position, second.position);
var axis;
// 循环穿过两个多边形的所有边
@@ -11721,7 +11750,7 @@ var es;
*/
RectangleExt.getClosestPointOnRectangleToPoint = function (rect, point) {
// 对于每个轴，如果该点在盒子外面，则将在盒子上，否则不理会它
var res = new es.Vector2();
var res = es.Vector2.zero;
res.x = es.MathHelper.clamp(point.x, rect.left, rect.right);
res.y = es.MathHelper.clamp(point.y, rect.top, rect.bottom);
return res;
@@ -11733,7 +11762,7 @@ var es;
*/
RectangleExt.getClosestPointOnRectangleBorderToPoint = function (rect, point) {
// 对于每个轴，如果该点在盒子外面，则将在盒子上，否则不理会它
var res = new es.Vector2();
var res = es.Vector2.zero;
res.x = es.MathHelper.clamp(point.x, rect.left, rect.right);
res.y = es.MathHelper.clamp(point.y, rect.top, rect.bottom);
// 如果点在矩形内，我们需要将res推到边框，因为它将在矩形内
@@ -11908,7 +11937,7 @@ var es;
* @param intersection
*/
Vector2Ext.getRayIntersection = function (a, b, c, d, intersection) {
if (intersection === void 0) { intersection = new es.Vector2(); }
if (intersection === void 0) { intersection = es.Vector2.zero; }
var dy1 = b.y - a.y;
var dx1 = b.x - a.x;
var dy2 = d.y - c.y;
@@ -11932,7 +11961,7 @@ var es;
Vector2Ext.normalize = function (vec) {
var magnitude = Math.sqrt((vec.x * vec.x) + (vec.y * vec.y));
if (magnitude > es.MathHelper.Epsilon) {
vec.divide(new es.Vector2(magnitude));
vec.divideScaler(magnitude);
}
else {
vec.x = vec.y = 0;
@@ -11963,7 +11992,7 @@ var es;
* @param result
*/
Vector2Ext.transformR = function (position, matrix, result) {
if (result === void 0) { result = new es.Vector2(); }
if (result === void 0) { result = es.Vector2.zero; }
var x = (position.x * matrix.m11) + (position.y * matrix.m21) + matrix.m31;
var y = (position.x * matrix.m12) + (position.y * matrix.m22) + matrix.m32;
result.x = x;

2
source/bin/framework.min.js vendored
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File diff suppressed because one or more lines are too long

7
source/src/Core.ts
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@@ -122,9 +122,10 @@ module es {
* @param type
*/
public static getGlobalManager<T extends es.GlobalManager>(type: new (...args) => T): T {
for (let i = 0; i < this._instance._globalManagers.length; i++) {
if (this._instance._globalManagers[i] instanceof type)
return this._instance._globalManagers[i] as T;
for (let i = 0, s = Core._instance._globalManagers.length; i < s; ++ i) {
let manager = Core._instance._globalManagers[i];
if (manager instanceof type)
return manager;
}
return null;
}

4
source/src/ECS/Components/Physics/ArcadeRigidbody.ts
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@@ -54,7 +54,7 @@ module es {
/**
* 该刚体的速度
*/
public velocity: Vector2 = new Vector2();
public velocity: Vector2 = es.Vector2.zero;
/**
* 质量为0的刚体被认为是不可移动的。改变速度和碰撞对它们没有影响
@@ -213,7 +213,7 @@ module es {
* @param minimumTranslationVector
* @param responseVelocity
*/
public calculateResponseVelocity(relativeVelocity: Vector2, minimumTranslationVector: Vector2, responseVelocity: Vector2 = new Vector2()) {
public calculateResponseVelocity(relativeVelocity: Vector2, minimumTranslationVector: Vector2, responseVelocity: Vector2 = es.Vector2.zero) {
// 首先，我们得到反方向的归一化MTV：表面法线
let inverseMTV = Vector2.multiplyScaler(minimumTranslationVector, -1);
let normal = Vector2.normalize(inverseMTV);

4
source/src/ECS/Entity.ts
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@@ -245,7 +245,7 @@ module es {
if (scale instanceof Vector2) {
this.transform.setScale(scale);
} else {
this.transform.setScale(new Vector2(scale));
this.transform.setScale(new Vector2(scale, scale));
}
return this;
@@ -257,7 +257,7 @@ module es {
if (scale instanceof Vector2) {
this.transform.setLocalScale(scale);
} else {
this.transform.setLocalScale(new Vector2(scale));
this.transform.setLocalScale(new Vector2(scale, scale));
}
return this;

18
source/src/ECS/Utils/ComponentList.ts
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@@ -77,16 +77,16 @@ module es {
for (let i = 0, s = this._components.length; i < s; ++ i) {
this.handleRemove(this._components[i]);
}
this.componentsByType.clear();
this.componentsToAddByType.clear();
this._components.length = 0;
this._updatableComponents.length = 0;
this._componentsToAdd = {};
this._componentsToRemove = {};
this._componentsToAddList.length = 0;
this._componentsToRemoveList.length = 0;
}
this.componentsByType.clear();
this.componentsToAddByType.clear();
this._components.length = 0;
this._updatableComponents.length = 0;
this._componentsToAdd = {};
this._componentsToRemove = {};
this._componentsToAddList.length = 0;
this._componentsToRemoveList.length = 0;
}
public deregisterAllComponents() {

12
source/src/Math/Bezier.ts
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@@ -96,16 +96,16 @@ module es {
private static recursiveGetOptimizedDrawingPoints(start: Vector2, firstCtrlPoint: Vector2, secondCtrlPoint: Vector2,
end: Vector2, points: Vector2[], distanceTolerance: number) {
// 计算线段的所有中点
let pt12 = Vector2.divide(Vector2.add(start, firstCtrlPoint), new Vector2(2));
let pt23 = Vector2.divide(Vector2.add(firstCtrlPoint, secondCtrlPoint), new Vector2(2));
let pt34 = Vector2.divide(Vector2.add(secondCtrlPoint, end), new Vector2(2));
let pt12 = Vector2.divideScaler(Vector2.add(start, firstCtrlPoint), 2);
let pt23 = Vector2.divideScaler(Vector2.add(firstCtrlPoint, secondCtrlPoint), 2);
let pt34 = Vector2.divideScaler(Vector2.add(secondCtrlPoint, end), 2);
// 计算新半直线的中点
let pt123 = Vector2.divide(Vector2.add(pt12, pt23), new Vector2(2));
let pt234 = Vector2.divide(Vector2.add(pt23, pt34), new Vector2(2));
let pt123 = Vector2.divideScaler(Vector2.add(pt12, pt23), 2);
let pt234 = Vector2.divideScaler(Vector2.add(pt23, pt34), 2);
// 最后再细分最后两个中点。如果我们满足我们的距离公差，这将是我们使用的最后一点。
let pt1234 = Vector2.divide(Vector2.add(pt123, pt234), new Vector2(2));
let pt1234 = Vector2.divideScaler(Vector2.add(pt123, pt234), 2);
// 试着用一条直线来近似整个三次曲线
let deltaLine = Vector2.subtract(end, start);

22
source/src/Math/Matrix2D.ts
View File

@@ -228,6 +228,28 @@ module es {
return this;
}
public static multiply(matrix1: Matrix2D, matrix2: Matrix2D, result: Matrix2D) {
let m11 = (matrix1.m11 * matrix2.m11) + (matrix1.m12 * matrix2.m21);
let m12 = (matrix1.m11 * matrix2.m12) + (matrix1.m12 * matrix2.m22);
let m21 = (matrix1.m21 * matrix2.m11) + (matrix1.m22 * matrix2.m21);
let m22 = (matrix1.m21 * matrix2.m12) + (matrix1.m22 * matrix2.m22);
let m31 = (matrix1.m31 * matrix2.m11) + (matrix1.m32 * matrix2.m21) + matrix2.m31;
let m32 = (matrix1.m31 * matrix2.m12) + (matrix1.m32 * matrix2.m22) + matrix2.m32;
result.m11 = m11;
result.m12 = m12;
result.m21 = m21;
result.m22 = m22;
result.m31 = m31;
result.m32 = m32;
return result;
}
public determinant() {
return this.m11 * this.m22 - this.m12 * this.m21;
}

4
source/src/Math/Rectangle.ts
View File

@@ -304,7 +304,7 @@ module es {
*/
public getClosestPointOnRectangleToPoint(point: Vector2) {
// 对于每条轴，如果点在框外，就把它限制在框内，否则就不要管它
let res = new Vector2();
let res = es.Vector2.zero;
res.x = MathHelper.clamp(point.x, this.left, this.right);
res.y = MathHelper.clamp(point.y, this.top, this.bottom);
@@ -319,7 +319,7 @@ module es {
*/
public getClosestPointOnRectangleBorderToPoint(point: Vector2, edgeNormal: Vector2): Vector2 {
// 对于每条轴，如果点在框外，就把它限制在框内，否则就不要管它
let res = new Vector2();
let res = es.Vector2.zero;
res.x = MathHelper.clamp(point.x, this.left, this.right);
res.y = MathHelper.clamp(point.y, this.top, this.bottom);

27
source/src/Math/Vector2.ts
View File

@@ -9,9 +9,9 @@ module es {
* @param x 二维空间中的x坐标
* @param y 二维空间的y坐标
*/
constructor(x?: number, y?: number) {
this.x = x ? x : 0;
this.y = y != undefined ? y : this.x;
constructor(x: number = 0, y: number = 0) {
this.x = x;
this.y = y;
}
public static get zero() {
@@ -54,13 +54,20 @@ module es {
return result;
}
public static divideScaler(value1: Vector2, value2: number) {
let result: Vector2 = Vector2.zero;
result.x = value1.x / value2;
result.y = value1.y / value2;
return result;
}
/**
*
* @param value1
* @param value2
*/
public static multiply(value1: Vector2, value2: Vector2) {
let result: Vector2 = new Vector2(0, 0);
let result: Vector2 = es.Vector2.zero;
result.x = value1.x * value2.x;
result.y = value1.y * value2.y;
return result;
@@ -73,7 +80,7 @@ module es {
* @returns
*/
public static multiplyScaler(value1: Vector2, value2: number) {
let result = new Vector2(0, 0);
let result = es.Vector2.zero;
result.x = value1.x * value2;
result.y = value1.x * value2;
return result;
@@ -85,7 +92,7 @@ module es {
* @param value2
*/
public static subtract(value1: Vector2, value2: Vector2) {
let result: Vector2 = new Vector2(0, 0);
let result: Vector2 = es.Vector2.zero;
result.x = value1.x - value2.x;
result.y = value1.y - value2.y;
return result;
@@ -218,7 +225,7 @@ module es {
* @returns
*/
public static reflect(vector: Vector2, normal: Vector2) {
let result: Vector2 = new Vector2();
let result: Vector2 = es.Vector2.zero;
let val = 2 * ((vector.x * normal.x) + (vector.y * normal.y));
result.x = vector.x - (normal.x * val);
result.y = vector.y - (normal.y * val);
@@ -257,6 +264,12 @@ module es {
return this;
}
public divideScaler(value: number): Vector2 {
this.x /= value;
this.y /= value;
return this;
}
/**
*
* @param value

2
source/src/Physics/Collision.ts
View File

@@ -33,7 +33,7 @@ module es {
return true;
}
public static lineToLineIntersection(a1: Vector2, a2: Vector2, b1: Vector2, b2: Vector2, intersection: Vector2 = new Vector2()): boolean {
public static lineToLineIntersection(a1: Vector2, a2: Vector2, b1: Vector2, b2: Vector2, intersection: Vector2 = es.Vector2.zero): boolean {
intersection.x = 0;
intersection.y = 0;

4
source/src/Physics/Shapes/RealtimeCollisions.ts
View File

@@ -11,7 +11,7 @@ module es {
return false;
// 求交点
let point = Vector2.add(ray.start, Vector2.multiply(ray.direction, new Vector2(time.value)));
let point = Vector2.add(ray.start, Vector2.multiplyScaler(ray.direction, time.value));
// 计算交点p位于b的哪个最小面和最大面之外。注意，u和v不能有相同的位集，它们之间必须至少有一个位集。
let u, v = 0;
@@ -49,7 +49,7 @@ module es {
* @param n
*/
public static corner(b: Rectangle, n: number){
let p = new Vector2();
let p = es.Vector2.zero;
p.x = (n & 1) == 0 ? b.right : b.left;
p.y = (n & 1) == 0 ? b.bottom : b.top;
return p;

6
source/src/Physics/Shapes/ShapeCollisions/ShapeCollisionsBox.ts
View File

@@ -34,7 +34,7 @@ module es {
if (mtv.equals(Vector2.zero))
return false;
hit.normal = new Vector2(-mtv.x);
hit.normal = new Vector2(-mtv.x, -mtv.y);
hit.normal.normalize();
hit.distance = 0;
hit.fraction = 0;
@@ -42,14 +42,14 @@ module es {
return true;
} else {
// 射线投射移动矢量
let ray = new Ray2D(Vector2.zero, new Vector2(-movement.x));
let ray = new Ray2D(Vector2.zero, new Vector2(-movement.x, -movement.y));
let fraction = new Ref(0);
if (minkowskiDiff.rayIntersects(ray, fraction) && fraction.value <= 1) {
hit.fraction = fraction.value;
hit.distance = movement.length() * fraction.value;
hit.normal = new Vector2(-movement.x, -movement.y);
hit.normal.normalize();
hit.centroid = Vector2.add(first.bounds.center, Vector2.multiply(movement, new Vector2(fraction.value)));
hit.centroid = Vector2.add(first.bounds.center, Vector2.multiplyScaler(movement, fraction.value));
return true;
}

14
source/src/Physics/Shapes/ShapeCollisions/ShapeCollisionsCircle.ts
View File

@@ -7,8 +7,8 @@ module es {
if (collided) {
result.normal = Vector2.normalize(Vector2.subtract(first.position, second.position));
let depth = sumOfRadii - Math.sqrt(distanceSquared);
result.minimumTranslationVector = Vector2.multiply(new Vector2(-depth), result.normal);
result.point = Vector2.add(second.position, Vector2.multiply(result.normal, new Vector2(second.radius)));
result.minimumTranslationVector = Vector2.multiplyScaler(result.normal, -depth);
result.point = Vector2.add(second.position, Vector2.multiplyScaler(result.normal, second.radius));
// 这可以得到实际的碰撞点，可能有用也可能没用，所以我们暂时把它留在这里
// let collisionPointX = ((first.position.x * second.radius) + (second.position.x * first.radius)) / sumOfRadii;
@@ -35,7 +35,7 @@ module es {
result.point = closestPointOnBounds.clone();
// 计算MTV。找出安全的、非碰撞的位置，并从中得到MTV
let safePlace = Vector2.add(closestPointOnBounds, Vector2.multiply(result.normal, new Vector2(circle.radius)));
let safePlace = Vector2.add(closestPointOnBounds, Vector2.multiplyScaler(result.normal, circle.radius));
result.minimumTranslationVector = Vector2.subtract(circle.position, safePlace);
return true;
@@ -45,14 +45,14 @@ module es {
// 看框上的点距圆的半径是否小于圆的半径
if (sqrDistance == 0) {
result.minimumTranslationVector = Vector2.multiply(result.normal, new Vector2(circle.radius));
result.minimumTranslationVector = Vector2.multiplyScaler(result.normal, circle.radius);
} else if (sqrDistance <= circle.radius * circle.radius) {
result.normal = Vector2.subtract(circle.position, closestPointOnBounds);
let depth = result.normal.length() - circle.radius;
result.point = closestPointOnBounds;
Vector2Ext.normalize(result.normal);
result.minimumTranslationVector = Vector2.multiply(new Vector2(depth), result.normal);
result.minimumTranslationVector = Vector2.multiplyScaler(result.normal, depth);
return true;
}
@@ -85,7 +85,7 @@ module es {
mtv = new Vector2(result.normal.x * circle.radius, result.normal.y * circle.radius);
} else {
let distance = Math.sqrt(distanceSquared.value);
mtv = Vector2.subtract(new Vector2(-1), Vector2.subtract(poly2Circle, closestPoint))
mtv = Vector2.multiplyScaler(Vector2.subtract(poly2Circle, closestPoint), -1)
.multiply(new Vector2((circle.radius - distance) / distance));
}
}
@@ -102,7 +102,7 @@ module es {
let t = Vector2.dot(w, v) / Vector2.dot(v, v);
t = MathHelper.clamp(t, 0, 1);
return Vector2.add(lineA, Vector2.multiply(v, new Vector2(t)));
return Vector2.add(lineA, Vector2.multiplyScaler(v, t));
}
}
}

6
source/src/Physics/Shapes/ShapeCollisions/ShapeCollisionsLine.ts
View File

@@ -56,7 +56,7 @@ module es {
if (u < 0 || u > 1)
return false;
intersection = Vector2.add(a1, Vector2.multiply(new Vector2(t), b));
intersection = Vector2.add(a1, Vector2.multiplyScaler(b, t));
return true;
}
@@ -64,7 +64,7 @@ module es {
public static lineToCircle(start: Vector2, end: Vector2, s: Circle, hit: RaycastHit): boolean{
// 计算这里的长度并分别对d进行标准化，因为如果我们命中了我们需要它来得到分数
let lineLength = Vector2.distance(start, end);
let d = Vector2.divide(Vector2.subtract(end, start), new Vector2(lineLength));
let d = Vector2.divideScaler(Vector2.subtract(end, start), lineLength);
let m = Vector2.subtract(start, s.position);
let b = Vector2.dot(m, d);
let c = Vector2.dot(m, m) - s.radius * s.radius;
@@ -85,7 +85,7 @@ module es {
if (hit.fraction < 0)
hit.fraction = 0;
hit.point = Vector2.add(start, Vector2.multiply(new Vector2(hit.fraction), d));
hit.point = Vector2.add(start, Vector2.multiplyScaler(d, hit.fraction));
hit.distance = Vector2.distance(start, hit.point);
hit.normal = Vector2.normalize(Vector2.subtract(hit.point, s.position));
hit.fraction = hit.distance / lineLength;

4
source/src/Physics/Shapes/ShapeCollisions/ShapeCollisionsPoint.ts
View File

@@ -7,8 +7,8 @@ module es {
if (collided) {
result.normal = Vector2.normalize(Vector2.subtract(point, circle.position));
let depth = sumOfRadii - Math.sqrt(distanceSquared);
result.minimumTranslationVector = Vector2.multiply(new Vector2(-depth, -depth), result.normal);
result.point = Vector2.add(circle.position, Vector2.multiply(result.normal, new Vector2(circle.radius, circle.radius)));
result.minimumTranslationVector = Vector2.multiplyScaler(result.normal, -depth);
result.point = Vector2.add(circle.position, Vector2.multiplyScaler(result.normal, circle.radius));
return true;
}

2
source/src/Physics/Shapes/ShapeCollisions/ShapeCollisionsPolygon.ts
View File

@@ -12,7 +12,7 @@ module es {
let firstEdges = first.edgeNormals.slice();
let secondEdges = second.edgeNormals.slice();
let minIntervalDistance = Number.POSITIVE_INFINITY;
let translationAxis = new Vector2();
let translationAxis = es.Vector2.zero;
let polygonOffset = Vector2.subtract(first.position, second.position);
let axis: Vector2;

4
source/src/Utils/Extensions/RectangleExt.ts
View File

@@ -250,7 +250,7 @@ module es {
*/
public static getClosestPointOnRectangleToPoint(rect: Rectangle, point: Vector2) {
// 对于每个轴，如果该点在盒子外面，则将在盒子上，否则不理会它
let res = new Vector2();
let res = es.Vector2.zero;
res.x = MathHelper.clamp(point.x, rect.left, rect.right)
res.y = MathHelper.clamp(point.y, rect.top, rect.bottom);
@@ -264,7 +264,7 @@ module es {
*/
public static getClosestPointOnRectangleBorderToPoint(rect: Rectangle, point: Vector2) {
// 对于每个轴，如果该点在盒子外面，则将在盒子上，否则不理会它
let res = new Vector2();
let res = es.Vector2.zero;
res.x = MathHelper.clamp(point.x, rect.left, rect.right)
res.y = MathHelper.clamp(point.y, rect.top, rect.bottom);

6
source/src/Utils/Extensions/Vector2Ext.ts
View File

@@ -71,7 +71,7 @@ module es {
* @param d
* @param intersection
*/
public static getRayIntersection(a: Vector2, b: Vector2, c: Vector2, d: Vector2, intersection: Vector2 = new Vector2()) {
public static getRayIntersection(a: Vector2, b: Vector2, c: Vector2, d: Vector2, intersection: Vector2 = es.Vector2.zero) {
let dy1 = b.y - a.y;
let dx1 = b.x - a.x;
let dy2 = d.y - c.y;
@@ -99,7 +99,7 @@ module es {
public static normalize(vec: Vector2) {
let magnitude = Math.sqrt((vec.x * vec.x) + (vec.y * vec.y));
if (magnitude > MathHelper.Epsilon) {
vec.divide(new Vector2(magnitude));
vec.divideScaler(magnitude);
} else {
vec.x = vec.y = 0;
}
@@ -131,7 +131,7 @@ module es {
* @param matrix
* @param result
*/
public static transformR(position: Vector2, matrix: Matrix2D, result: Vector2 = new Vector2()) {
public static transformR(position: Vector2, matrix: Matrix2D, result: Vector2 = es.Vector2.zero) {
let x = (position.x * matrix.m11) + (position.y * matrix.m21) + matrix.m31;
let y = (position.x * matrix.m12) + (position.y * matrix.m22) + matrix.m32;
result.x = x;