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160 lines
6.9 KiB
160 lines
6.9 KiB
import type { Vector2, Vector3 } from '../types';
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/**
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* <zh/> 两个向量求和
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*
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* <en/> Adds two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量的和 | <en/> The sum of the two vectors
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*/
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export declare function add(a: Vector2 | Vector3, b: Vector2 | Vector3): Vector2 | Vector3;
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/**
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* <zh/> 两个向量求差
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*
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* <en/> Subtracts two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量的差 | <en/> The difference of the two vectors
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*/
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export declare function subtract(a: Vector2 | Vector3, b: Vector2 | Vector3): Vector2 | Vector3;
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/**
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* <zh/> 两个向量求积或者向量和标量求积
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*
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* <en/> Multiplies two vectors or a vector and a scalar
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* @param a - <zh/> 向量 | <en/> The vector
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* @param b - <zh/> 向量或者标量 | <en/> The vector or scalar
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* @returns <zh/> 两个向量的积或者向量和标量的积 | <en/> The product of the two vectors or the product of the vector and scalar
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*/
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export declare function multiply(a: Vector2 | Vector3, b: number | Vector2 | Vector3): Vector2 | Vector3;
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/**
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* <zh/> 两个向量求商或者向量和标量求商
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*
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* <en/> Divides two vectors or a vector and a scalar
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* @param a - <zh/> 向量 | <en/> The vector
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* @param b - <zh/> 向量或者标量 | <en/> The vector or scalar
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* @returns <zh/> 两个向量的商或者向量和标量的商 | <en/> The quotient of the two vectors or the quotient of the vector and scalar
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*/
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export declare function divide(a: Vector2 | Vector3, b: number | Vector2 | Vector3): Vector2 | Vector3;
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/**
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* <zh/> 两个向量求点积
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*
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* <en/> Calculates the dot product of two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量的点积 | <en/> The dot product of the two vectors
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*/
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export declare function dot(a: Vector2 | Vector3, b: Vector2 | Vector3): number;
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/**
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* <zh/> 两个二维向量求叉积
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*
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* <en/> Calculates the cross product of two vectors in three-dimensional Euclidean space
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量的叉积 | <en/> The cross product of the two vectors
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*/
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export declare function cross(a: Vector2 | Vector3, b: Vector2 | Vector3): Vector3;
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/**
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* <zh/> 向量缩放
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*
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* <en/> Scales a vector by a scalar number
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* @param a - <zh/> 向量 | <en/> The vector to scale
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* @param s - <zh/> 缩放系数 | <en/> Scale factor
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* @returns <zh/> 缩放后的向量 | <en/> The scaled vector
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*/
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export declare function scale(a: Vector2 | Vector3, s: number): Vector2 | Vector3;
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/**
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* <zh/> 计算两个向量间的欧几里得距离
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*
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* <en/> Calculates the Euclidean distance between two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量间的距离 | <en/> The distance between the two vectors
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*/
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export declare function distance(a: Vector2 | Vector3, b: Vector2 | Vector3): number;
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/**
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* <zh/> 计算两个向量间的曼哈顿距离
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*
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* <en/> Calculates the Manhattan distance between two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns <zh/> 两个向量间的距离 | <en/> The distance between the two vectors
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*/
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export declare function manhattanDistance(a: Vector2 | Vector3, b: Vector2 | Vector3): number;
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/**
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* <zh/> 标准化向量(使长度为 1)
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*
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* <en/> Normalizes a vector (making its length 1)
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* @param a - <zh/> 要标准化的向量 | <en/> The vector to normalize
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* @returns <zh/> 标准化后的向量 | <en/> The normalized vector
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*/
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export declare function normalize(a: Vector2 | Vector3): Vector2 | Vector3;
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/**
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* <zh/> 计算两个向量间的夹角,输出为锐角余弦值
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*
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* <en/> Get the angle between two vectors
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @param clockwise - <zh/> 是否顺时针 | <en/> Whether to calculate the angle in a clockwise direction
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* @returns <zh/> 弧度值 | <en/> The angle in radians
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*/
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export declare function angle(a: Vector2 | Vector3, b: Vector2 | Vector3, clockwise?: boolean): number;
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/**
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* <zh/> 判断两个向量是否完全相等(使用 === 比较)
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*
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* <en/> Returns whether or not the vectors exactly have the same elements in the same position (when compared with ===)
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* @param a - <zh/> 第一个向量 | <en/> The first vector
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* @param b - <zh/> 第二个向量 | <en/> The second vector
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* @returns - <zh/> 是否相等 | <en/> Whether or not the vectors are equal
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*/
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export declare function exactEquals(a: Vector2 | Vector3, b: Vector2 | Vector3): boolean;
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/**
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* <zh/> 计算向量的垂直向量
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*
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* <en/> Calculates the perpendicular vector to a given vector
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* @param a - <zh/> 原始向量 | <en/> The original vector
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* @param clockwise - <zh/> 是否顺时针 | <en/> Whether to calculate the perpendicular vector in a clockwise direction
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* @returns <zh/> 原始向量的垂直向量 | <en/> The perpendicular vector to the original vector
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*/
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export declare function perpendicular(a: Vector2, clockwise?: boolean): Vector2;
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/**
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* <zh/> 计算向量的模
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*
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* <en/> Calculates the modulus of a vector
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* @param a - <zh/> 原始向量 | <en/> The original vector
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* @param b - <zh/> 模 | <en/> The modulus
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* @returns - <zh/> 向量的模 | <en/> The modulus of the vector
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*/
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export declare function mod(a: Vector2 | Vector3, b: number): Vector2 | Vector3;
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/**
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* <zh/> 向量强制转换为二维向量
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*
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* <en/> Force vector to be two-dimensional
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* @param a - <zh/> 原始向量 | <en/> The original vector
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* @returns <zh/> 二维向量 | <en/> Two-dimensional vector
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*/
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export declare function toVector2(a: Vector2 | Vector3): Vector2;
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/**
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* <zh/> 向量强制转换为三维向量
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*
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* <en/> Force vector to be three-dimensional
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* @param a - <zh/> 原始向量 | <en/> The original vector
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* @returns - <zh/> 三维向量 | <en/> Three-dimensional vector
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*/
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export declare function toVector3(a: Vector2 | Vector3): Vector3;
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/**
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* <zh/> 计算向量与 x 轴正方向的夹角(弧度制)
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*
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* <en/> The angle between the vector and the positive direction of the x-axis (radians)
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* @param a - <zh/> 向量 | <en/> The vector
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* @returns <zh/> 弧度值 | <en/> The angle in radians
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*/
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export declare function rad(a: Vector2 | Vector3): number;
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/**
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* <zh/> 旋转向量(角度制)
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*
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* <en/> Rotational vector (Angle system)
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* @param a - <zh/> 向量 | <en/> The vector
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* @param angle - <zh/> 旋转角度 | <en/> The rotation angle
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* @returns <zh/> 向量 | <en/> The vector
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*/
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export declare function rotate(a: Vector2, angle: number): Vector2;
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