import Point from './Point';
/**
* The pixi Matrix class as an object, which makes it a lot faster,
* here is a representation of it :
* | a | b | tx|
* | c | d | ty|
* | 0 | 0 | 1 |
*
* @class
* @memberof PIXI
*/
class Matrix
{
constructor()
{
/**
* @member {number}
* @default 1
*/
this.a = 1;
/**
* @member {number}
* @default 0
*/
this.b = 0;
/**
* @member {number}
* @default 0
*/
this.c = 0;
/**
* @member {number}
* @default 1
*/
this.d = 1;
/**
* @member {number}
* @default 0
*/
this.tx = 0;
/**
* @member {number}
* @default 0
*/
this.ty = 0;
this.array = null;
}
/**
* Creates a Matrix object based on the given array. The Element to Matrix mapping order is as follows:
*
* a = array[0]
* b = array[1]
* c = array[3]
* d = array[4]
* tx = array[2]
* ty = array[5]
*
* @param array {number[]} The array that the matrix will be populated from.
*/
fromArray(array)
{
this.a = array[0];
this.b = array[1];
this.c = array[3];
this.d = array[4];
this.tx = array[2];
this.ty = array[5];
}
/**
* sets the matrix properties
*
* @param {number} a
* @param {number} b
* @param {number} c
* @param {number} d
* @param {number} tx
* @param {number} ty
*
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
set(a, b, c, d, tx, ty)
{
this.a = a;
this.b = b;
this.c = c;
this.d = d;
this.tx = tx;
this.ty = ty;
return this;
}
/**
* Creates an array from the current Matrix object.
*
* @param transpose {boolean} Whether we need to transpose the matrix or not
* @param [out=new Float32Array(9)] {Float32Array} If provided the array will be assigned to out
* @return {number[]} the newly created array which contains the matrix
*/
toArray(transpose, out)
{
if (!this.array)
{
this.array = new Float32Array(9);
}
let array = out || this.array;
if (transpose)
{
array[0] = this.a;
array[1] = this.b;
array[2] = 0;
array[3] = this.c;
array[4] = this.d;
array[5] = 0;
array[6] = this.tx;
array[7] = this.ty;
array[8] = 1;
}
else
{
array[0] = this.a;
array[1] = this.c;
array[2] = this.tx;
array[3] = this.b;
array[4] = this.d;
array[5] = this.ty;
array[6] = 0;
array[7] = 0;
array[8] = 1;
}
return array;
}
/**
* Get a new position with the current transformation applied.
* Can be used to go from a child's coordinate space to the world coordinate space. (e.g. rendering)
*
* @param pos {PIXI.Point} The origin
* @param [newPos] {PIXI.Point} The point that the new position is assigned to (allowed to be same as input)
* @return {PIXI.Point} The new point, transformed through this matrix
*/
apply(pos, newPos)
{
newPos = newPos || new Point();
let x = pos.x;
let y = pos.y;
newPos.x = this.a * x + this.c * y + this.tx;
newPos.y = this.b * x + this.d * y + this.ty;
return newPos;
}
/**
* Get a new position with the inverse of the current transformation applied.
* Can be used to go from the world coordinate space to a child's coordinate space. (e.g. input)
*
* @param pos {PIXI.Point} The origin
* @param [newPos] {PIXI.Point} The point that the new position is assigned to (allowed to be same as input)
* @return {PIXI.Point} The new point, inverse-transformed through this matrix
*/
applyInverse(pos, newPos)
{
newPos = newPos || new Point();
let id = 1 / (this.a * this.d + this.c * -this.b);
let x = pos.x;
let y = pos.y;
newPos.x = this.d * id * x + -this.c * id * y + (this.ty * this.c - this.tx * this.d) * id;
newPos.y = this.a * id * y + -this.b * id * x + (-this.ty * this.a + this.tx * this.b) * id;
return newPos;
}
/**
* Translates the matrix on the x and y.
*
* @param {number} x How much to translate x by
* @param {number} y How much to translate y by
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
translate(x, y)
{
this.tx += x;
this.ty += y;
return this;
}
/**
* Applies a scale transformation to the matrix.
*
* @param {number} x The amount to scale horizontally
* @param {number} y The amount to scale vertically
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
scale(x, y)
{
this.a *= x;
this.d *= y;
this.c *= x;
this.b *= y;
this.tx *= x;
this.ty *= y;
return this;
}
/**
* Applies a rotation transformation to the matrix.
*
* @param {number} angle - The angle in radians.
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
rotate(angle)
{
let cos = Math.cos( angle );
let sin = Math.sin( angle );
let a1 = this.a;
let c1 = this.c;
let tx1 = this.tx;
this.a = a1 * cos-this.b * sin;
this.b = a1 * sin+this.b * cos;
this.c = c1 * cos-this.d * sin;
this.d = c1 * sin+this.d * cos;
this.tx = tx1 * cos - this.ty * sin;
this.ty = tx1 * sin + this.ty * cos;
return this;
}
/**
* Appends the given Matrix to this Matrix.
*
* @param {PIXI.Matrix} matrix
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
append(matrix)
{
let a1 = this.a;
let b1 = this.b;
let c1 = this.c;
let d1 = this.d;
this.a = matrix.a * a1 + matrix.b * c1;
this.b = matrix.a * b1 + matrix.b * d1;
this.c = matrix.c * a1 + matrix.d * c1;
this.d = matrix.c * b1 + matrix.d * d1;
this.tx = matrix.tx * a1 + matrix.ty * c1 + this.tx;
this.ty = matrix.tx * b1 + matrix.ty * d1 + this.ty;
return this;
}
/**
* Sets the matrix based on all the available properties
*
* @param {number} x Position on the x axis
* @param {number} y Position on the y axis
* @param {number} pivotX Pivot on the x axis
* @param {number} pivotY Pivot on the y axis
* @param {number} scaleX Scale on the x axis
* @param {number} scaleY Scale on the y axis
* @param {number} rotation Rotation in radians
* @param {number} skewX Skew on the x axis
* @param {number} skewY Skew on the y axis
*
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
setTransform(x, y, pivotX, pivotY, scaleX, scaleY, rotation, skewX, skewY)
{
let a, b, c, d, sr, cr, cy, sy, nsx, cx;
sr = Math.sin(rotation);
cr = Math.cos(rotation);
cy = Math.cos(skewY);
sy = Math.sin(skewY);
nsx = -Math.sin(skewX);
cx = Math.cos(skewX);
a = cr * scaleX;
b = sr * scaleX;
c = -sr * scaleY;
d = cr * scaleY;
this.a = cy * a + sy * c;
this.b = cy * b + sy * d;
this.c = nsx * a + cx * c;
this.d = nsx * b + cx * d;
this.tx = x + ( pivotX * a + pivotY * c );
this.ty = y + ( pivotX * b + pivotY * d );
return this;
}
/**
* Prepends the given Matrix to this Matrix.
*
* @param {PIXI.Matrix} matrix
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
prepend(matrix)
{
let tx1 = this.tx;
if (matrix.a !== 1 || matrix.b !== 0 || matrix.c !== 0 || matrix.d !== 1)
{
let a1 = this.a;
let c1 = this.c;
this.a = a1*matrix.a+this.b*matrix.c;
this.b = a1*matrix.b+this.b*matrix.d;
this.c = c1*matrix.a+this.d*matrix.c;
this.d = c1*matrix.b+this.d*matrix.d;
}
this.tx = tx1*matrix.a+this.ty*matrix.c+matrix.tx;
this.ty = tx1*matrix.b+this.ty*matrix.d+matrix.ty;
return this;
}
/**
* Decomposes the matrix (x, y, scaleX, scaleY, and rotation) and sets the properties on to a transform.
* @param transform {PIXI.Transform|PIXI.TransformStatic} the transform to apply the properties to.
* @return {PIXI.Transform|PIXI.TransformStatic} The transform with the newly applied properies
*/
decompose(transform)
{
// sort out rotation / skew..
let a = this.a,
b = this.b,
c = this.c,
d = this.d;
let skewX = Math.atan2(-c, d);
let skewY = Math.atan2(b, a);
let delta = Math.abs(1-skewX/skewY);
if (delta < 0.00001)
{
transform.rotation = skewY;
if (a < 0 && d >= 0)
{
transform.rotation += (transform.rotation <= 0) ? Math.PI : -Math.PI;
}
transform.skew.x = transform.skew.y = 0;
}
else
{
transform.skew.x = skewX;
transform.skew.y = skewY;
}
// next set scale
transform.scale.x = Math.sqrt(a * a + b * b);
transform.scale.y = Math.sqrt(c * c + d * d);
// next set position
transform.position.x = this.tx;
transform.position.y = this.ty;
return transform;
}
/**
* Inverts this matrix
*
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
invert()
{
let a1 = this.a;
let b1 = this.b;
let c1 = this.c;
let d1 = this.d;
let tx1 = this.tx;
let n = a1*d1-b1*c1;
this.a = d1/n;
this.b = -b1/n;
this.c = -c1/n;
this.d = a1/n;
this.tx = (c1*this.ty-d1*tx1)/n;
this.ty = -(a1*this.ty-b1*tx1)/n;
return this;
}
/**
* Resets this Matix to an identity (default) matrix.
*
* @return {PIXI.Matrix} This matrix. Good for chaining method calls.
*/
identity()
{
this.a = 1;
this.b = 0;
this.c = 0;
this.d = 1;
this.tx = 0;
this.ty = 0;
return this;
}
/**
* Creates a new Matrix object with the same values as this one.
*
* @return {PIXI.Matrix} A copy of this matrix. Good for chaining method calls.
*/
clone()
{
let matrix = new Matrix();
matrix.a = this.a;
matrix.b = this.b;
matrix.c = this.c;
matrix.d = this.d;
matrix.tx = this.tx;
matrix.ty = this.ty;
return matrix;
}
/**
* Changes the values of the given matrix to be the same as the ones in this matrix
*
* @return {PIXI.Matrix} The matrix given in parameter with its values updated.
*/
copy(matrix)
{
matrix.a = this.a;
matrix.b = this.b;
matrix.c = this.c;
matrix.d = this.d;
matrix.tx = this.tx;
matrix.ty = this.ty;
return matrix;
}
/**
* A default (identity) matrix
*
* @static
* @const
*/
static get IDENTITY() {
return new Matrix();
}
/**
* A temp matrix
*
* @static
* @const
*/
static get TEMP_MATRIX() {
return new Matrix();
}
}
export default Matrix;
