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esengine/source/src/Utils/Vector2Ext.ts
2020-07-28 16:25:20 +08:00

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module es {
export class Vector2Ext {
/**
* 检查三角形是CCW还是CW
* @param a
* @param center
* @param c
*/
public static isTriangleCCW(a: Vector2, center: Vector2, c: Vector2) {
return this.cross(Vector2.subtract(center, a), Vector2.subtract(c, center)) < 0;
}
/**
* 计算二维伪叉乘点(Perp(u) v)
* @param u
* @param v
*/
public static cross(u: Vector2, v: Vector2) {
return u.y * v.x - u.x * v.y;
}
/**
* 返回与传入向量垂直的向量
* @param first
* @param second
*/
public static perpendicular(first: Vector2, second: Vector2) {
return new Vector2(-1 * (second.y - first.y), second.x - first.x);
}
/**
* Vector2的临时解决方案
* 标准化把向量弄乱了
* @param vec
*/
public static normalize(vec: Vector2) {
let magnitude = Math.sqrt((vec.x * vec.x) + (vec.y * vec.y));
if (magnitude > MathHelper.Epsilon) {
vec = Vector2.divide(vec, new Vector2(magnitude));
} else {
vec.x = vec.y = 0;
}
return vec;
}
/**
* 通过指定的矩阵对Vector2的数组中的向量应用变换并将结果放置在另一个数组中。
* @param sourceArray
* @param sourceIndex
* @param matrix
* @param destinationArray
* @param destinationIndex
* @param length
*/
public static transformA(sourceArray: Vector2[], sourceIndex: number, matrix: Matrix2D,
destinationArray: Vector2[], destinationIndex: number, length: number) {
for (let i = 0; i < length; i++) {
let position = sourceArray[sourceIndex + i];
let destination = destinationArray[destinationIndex + i];
destination.x = (position.x * matrix.m11) + (position.y * matrix.m21) + matrix.m31;
destination.y = (position.x * matrix.m12) + (position.y * matrix.m22) + matrix.m32;
destinationArray[destinationIndex + i] = destination;
}
}
public static transformR(position: Vector2, matrix: Matrix2D) {
let x = (position.x * matrix.m11) + (position.y * matrix.m21) + matrix.m31;
let y = (position.x * matrix.m12) + (position.y * matrix.m22) + matrix.m32;
return new Vector2(x, y);
}
/**
* 通过指定的矩阵对Vector2的数组中的所有向量应用变换并将结果放到另一个数组中。
* @param sourceArray
* @param matrix
* @param destinationArray
*/
public static transform(sourceArray: Vector2[], matrix: Matrix2D, destinationArray: Vector2[]) {
this.transformA(sourceArray, 0, matrix, destinationArray, 0, sourceArray.length);
}
public static round(vec: Vector2) {
return new Vector2(Math.round(vec.x), Math.round(vec.y));
}
}
}