Class: Matrix4

一个表示 4*4 的矩阵 1--0--0--0 | | | | 0--1--0--0 | | | | 0--0--1--0 | | | | 0--0--0--1

const m = new Matrix4();

Hierarchy

• default

  ↳ Matrix4

  ↳↳ ProjectionMatrix

Constructors

constructor

• new Matrix4(m00?, m01?, m02?, m03?, m10?, m11?, m12?, m13?, m20?, m21?, m22?, m23?, m30?, m31?, m32?, m33?): Matrix4

Parameters

Name	Type	Default value	Description
m00	number	1	第一行第一列，默认是 1
m01	number	0	第一行第二列，默认是 0
m02	number	0	第一行第三列，默认是 0
m03	number	0	第一行第四列，默认是 0
m10	number	0	第二行第一列，默认是 0
m11	number	1	第二行第二列，默认是 1
m12	number	0	第二行第三列，默认是 0
m13	number	0	第二行第四列，默认是 0
m20	number	0	第三行第一列，默认是 0
m21	number	0	第三行第二列，默认是 0
m22	number	1	第三行第三列，默认是 1
m23	number	0	第三行第四列，默认是 0
m30	number	0	第四行第一列，默认是 0
m31	number	0	第四行第二列，默认是 0
m32	number	0	第四行第三列，默认是 0
m33	number	1	第四行第四列，默认是 1

Returns

Matrix4

Overrides

Matrix.constructor

Defined in

src/math/Matrix4.ts:77

Properties

elements

• elements: Float32Array | Float64Array

Overrides

Matrix.elements

Defined in

src/math/Matrix4.ts:57

Accessors

x

• get x(): number

获取向量 x 值

Returns

number

number;

Defined in

src/math/Matrix4.ts:123

---

y

• get y(): number

获取向量 y 值

Returns

number

number;

Defined in

src/math/Matrix4.ts:131

---

z

• get z(): number

获取向量 z 值

Returns

number

number;

Defined in

src/math/Matrix4.ts:139

---

w

• get w(): number

获取向量 w 值

Returns

number

number;

Defined in

src/math/Matrix4.ts:147

---

identity

• get identity(): Matrix4

获取单位矩阵

Returns

Matrix4

Defined in

src/math/Matrix4.ts:154

Methods

fromArray

▸ fromArray(array, offset?): Matrix4

从数组构建矩阵

Parameters

Name	Type	Default value	Description
array	any	undefined	原始数组
offset	number	0	数组偏移量

Returns

Matrix4

Inherited from

Matrix.fromArray

Defined in

src/math/Matrix.ts:15

---

toArray

▸ toArray(out?, offset?): Float32Array | Float64Array | number[]

从矩阵转换到数组

Parameters

Name	Type	Default value	Description
out	Float32Array | Float64Array | number[]	[]	输出数据
offset	number	0	偏移量

Returns

Float32Array | Float64Array | number[]

Inherited from

Matrix.toArray

Defined in

src/math/Matrix.ts:28

---

set

▸ set(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33): Matrix4

将此矩阵的每一项设置为给定的值

Parameters

Name	Type
m00	any
m01	any
m02	any
m03	any
m10	any
m11	any
m12	any
m13	any
m20	any
m21	any
m22	any
m23	any
m30	any
m31	any
m32	any
m33	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:177

---

transpose

▸ transpose(): Matrix4

将此矩阵转换为转置矩阵

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:186

---

invert

▸ invert(m?): Matrix4

将此矩阵转换为逆矩阵

Parameters

Name	Type	Description
m	Matrix4	默认为当前实例

Returns

Matrix4

Matrix4

Defined in

src/math/Matrix4.ts:196

---

adjoint

▸ adjoint(m?): Matrix4

计算此矩阵的伴随矩阵

Parameters

Name	Type	Description
m	Matrix4	默认为当前实例

Returns

Matrix4

Defined in

src/math/Matrix4.ts:205

---

determinant

▸ determinant(): any

计算行列式

Returns

any

Defined in

src/math/Matrix4.ts:214

---

add

▸ add(a, b?): Matrix4

将两个 Matrix4 矩阵相加

Parameters

Name	Type	Description
a	Matrix4
b?	Matrix4	如果不传，计算 this 和 a 的和

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:224

---

subtract

▸ subtract(a, b?): Matrix4

将两个 Matrix4 矩阵相减

Parameters

Name	Type	Description
a	Matrix4
b?	Matrix4	如果不传，计算 this 和 a 的差

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:240

---

multiply

▸ multiply(a, b?): Matrix4

计算两个 Matrix4 矩阵的乘积

Parameters

Name	Type	Description
a	Matrix4
b?	Matrix4	如果不传，计算 this 和 a 的乘积

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:255

---

multiplyScalar

▸ multiplyScalar(a?, b?): Matrix4

计算 Matrix4 与标量的乘积

Parameters

Name	Type	Description
a	Matrix4	如果不传，计算 this 和 b 的乘积
b?	number

Returns

Matrix4

Defined in

src/math/Matrix4.ts:269

---

premultiply

▸ premultiply(a, b?): Matrix4

左乘

Parameters

Name	Type	Description
a	Matrix4
b?	Matrix4	如果不传，计算 this 和 a 的左乘

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:280

---

translate

▸ translate(v): Matrix4

通过给定的向量 Vector3 平移此矩阵

Parameters

Name	Type	Description
v	Vector3	向量

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:294

---

rotate

▸ rotate(rad): Matrix4

旋转此矩阵

Parameters

Name	Type	Description
rad	number	弧度

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:304

---

scale

▸ scale(vec3): Matrix4

通过给定的 Vector3 向量缩放此矩阵

Parameters

Name	Type
vec3	Vector3

Returns

Matrix4

Defined in

src/math/Matrix4.ts:313

---

scaleScalar

▸ scaleScalar(s): Matrix4

通过标量 s 缩放此矩阵，默认在内部构建一个三维向量 [s, s, s]

Parameters

Name	Type
s	number

Returns

Matrix4

Defined in

src/math/Matrix4.ts:322

---

fromTranslation

▸ fromTranslation(vec): Matrix4

从平移向量创建矩阵

Parameters

Name	Type
vec	Vector3

Returns

Matrix4

Defined in

src/math/Matrix4.ts:331

---

fromRotation

▸ fromRotation(rad, axis): Matrix4

从给定轴和旋转角度创建矩阵

Parameters

Name	Type	Description
rad	number	弧度
axis	any	轴

Returns

Matrix4

Defined in

src/math/Matrix4.ts:341

---

fromRotationX

▸ fromRotationX(rad): Matrix4

从绕 X 轴的给定角度创建矩阵

Parameters

Name	Type
rad	number

Returns

Matrix4

Defined in

src/math/Matrix4.ts:350

---

fromRotationY

▸ fromRotationY(rad): Matrix4

从绕 Y 轴的给定角度创建矩阵

Parameters

Name	Type
rad	number

Returns

Matrix4

Defined in

src/math/Matrix4.ts:359

---

fromRotationZ

▸ fromRotationZ(rad): Matrix4

从绕 Z 轴的给定角度创建矩阵

Parameters

Name	Type
rad	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:368

---

fromScale

▸ fromScale(vec): Matrix4

从缩放向量计算矩阵

Parameters

Name	Type
vec	Vector3

Returns

Matrix4

Defined in

src/math/Matrix4.ts:377

---

fromRotationTranslation

▸ fromRotationTranslation(quat, v): Matrix4

从平移向量和四元数计算矩阵

Parameters

Name	Type
quat	Quaternion
v	Vector3

Returns

Matrix4

Defined in

src/math/Matrix4.ts:387

---

fromPerspective

▸ fromPerspective(fov, aspect, near, far): Matrix4

创建一个透视投影矩阵

Parameters

Name	Type
fov	any
aspect	any
near	any
far	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:399

---

fromOrthogonal

▸ fromOrthogonal(left, right, bottom, top, near, far): Matrix4

创建一个正交投影矩阵

Parameters

Name	Type
left	any
right	any
bottom	any
top	any
near	any
far	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:413

---

fromQuat

▸ fromQuat(q): Matrix4

从给定的四元数计算矩阵

Parameters

Name	Type
q	Quaternion

Returns

Matrix4

Defined in

src/math/Matrix4.ts:422

---

equals

▸ equals(mat4): any

判断两个矩阵是否近似相等

Parameters

Name	Type
mat4	any

Returns

any

Defined in

src/math/Matrix4.ts:431

---

getRotation

▸ getRotation(q?): Quaternion

获取旋转向量

Parameters

Name	Type
q	Quaternion

Returns

Quaternion

Defined in

src/math/Matrix4.ts:439

---

getScale

▸ getScale(v?): Vector3

获取缩放向量

Parameters

Name	Type
v	Vector3

Returns

Vector3

Defined in

src/math/Matrix4.ts:449

---

getTranslation

▸ getTranslation(v?): Vector3

获取平移向量

Parameters

Name	Type
v	Vector3

Returns

Vector3

Defined in

src/math/Matrix4.ts:459

---

rotateX

▸ rotateX(rad): Matrix4

围绕 X 轴按给定弧度旋转矩阵

Parameters

Name	Type
rad	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:469

---

rotateY

▸ rotateY(rad): Matrix4

围绕 Y 轴按给定弧度旋转矩阵

Parameters

Name	Type
rad	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:478

---

rotateZ

▸ rotateZ(rad): Matrix4

围绕 Z 轴按给定弧度旋转矩阵

Parameters

Name	Type
rad	any

Returns

Matrix4

Defined in

src/math/Matrix4.ts:487

---

compose

▸ compose(v, q, s): Matrix4

从四元数旋转、平移和缩放创建矩阵

Parameters

Name	Type
v	Vector3
q	Quaternion
s	Vector3

Returns

Matrix4

Defined in

src/math/Matrix4.ts:498

---

decompose

▸ decompose(): Object

从矩阵转换到四元数、平移和缩放向量

Returns

Object

Name	Type
rotation	Quaternion
scale	Vector3
translation	Vector3

Defined in

src/math/Matrix4.ts:506

---

copy

▸ copy(m): Matrix4

将传入的 Matrix4 复制到此矩阵

Parameters

Name	Type	Description
m	Matrix4	源矩阵

Returns

Matrix4

this

Defined in

src/math/Matrix4.ts:519

---

clone

▸ clone(): Matrix4

从此矩阵创建一个新的 4*4 矩阵

Returns

Matrix4

a new Matrix4

Defined in

src/math/Matrix4.ts:528

---

toString

▸ toString(): string

转换为字符串

Returns

string

Defined in

src/math/Matrix4.ts:535