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package org.jetbrains.skia
import kotlin.math.PI
import kotlin.math.abs
import kotlin.math.cos
import kotlin.math.sin
internal fun Float.toRadians(): Double = this.toDouble() / 180 * PI
/**
*
* Matrix holds a 3x3 matrix for transforming coordinates. This allows mapping
* Point and vectors with translation, scaling, skewing, rotation, and
* perspective.
*
*
* Matrix includes a hidden variable that classifies the type of matrix to
* improve performance. Matrix is not thread safe unless getType() is called first.
*
* @see [https://fiddle.skia.org/c/@Matrix_063](https://fiddle.skia.org/c/@Matrix_063)
*/
class Matrix33(vararg mat: Float) {
/**
*
* Matrix33 elements are in row-major order.
*
*
*
*/
val mat: FloatArray
fun makePreScale(sx: Float, sy: Float): Matrix33 {
return Matrix33(
mat[0] * sx,
mat[1] * sy,
mat[2],
mat[3] * sx,
mat[4] * sy,
mat[5],
mat[6] * sx,
mat[7] * sy,
mat[8]
)
}
/**
*
* Creates Matrix33 by multiplying this by other. This can be thought of mapping by other before applying Matrix.
*
*
* Given:
*
*
`
* | A B C | | J K L |
* this = | D E F |, other = | M N O |
* | G H I | | P Q R |
`
*
*
*
* Returns:
*
*
`
* | A B C | | J K L | | AJ+BM+CP AK+BN+CQ AL+BO+CR |
* this * other = | D E F | * | M N O | = | DJ+EM+FP DK+EN+FQ DL+EO+FR |
* | G H I | | P Q R | | GJ+HM+IP GK+HN+IQ GL+HO+IR |
`
*
*
* @param other Matrix on right side of multiply expression
* @return this multiplied by other
*/
fun makeConcat(other: Matrix33): Matrix33 {
return Matrix33(
mat[0] * other.mat[0] + mat[1] * other.mat[3] + mat[2] * other.mat[6],
mat[0] * other.mat[1] + mat[1] * other.mat[4] + mat[2] * other.mat[7],
mat[0] * other.mat[2] + mat[1] * other.mat[5] + mat[2] * other.mat[8],
mat[3] * other.mat[0] + mat[4] * other.mat[3] + mat[5] * other.mat[6],
mat[3] * other.mat[1] + mat[4] * other.mat[4] + mat[5] * other.mat[7],
mat[3] * other.mat[2] + mat[4] * other.mat[5] + mat[5] * other.mat[8],
mat[6] * other.mat[0] + mat[7] * other.mat[3] + mat[8] * other.mat[6],
mat[6] * other.mat[1] + mat[7] * other.mat[4] + mat[8] * other.mat[7],
mat[6] * other.mat[2] + mat[7] * other.mat[5] + mat[8] * other.mat[8]
)
}
/**
*
* When converting from Matrix33 to Matrix44, the third row and
* column remain as identity:
*
*
`
* [ a b c ] [ a b 0 c ]
* [ d e f ] -> [ d e 0 f ]
* [ g h i ] [ 0 0 1 0 ]
* [ g h 0 i ]
`
*
*/
fun asMatrix44(): Matrix44 {
return Matrix44(mat[0], mat[1], 0f, mat[2], mat[3], mat[4], 0f, mat[5], 0f, 0f, 1f, 0f, mat[6], mat[7], 0f, mat[8])
}
override fun equals(other: Any?): Boolean {
if (other === this) return true
if (other !is Matrix33) return false
return mat.contentEquals(other.mat)
}
override fun hashCode(): Int {
val PRIME = 59
var result = 1
result = result * PRIME + mat.contentHashCode()
return result
}
override fun toString(): String {
return "Matrix33(_mat=$mat)"
}
companion object {
/**
* An identity Matrix33:
*
*
`
* | 1 0 0 |
* | 0 1 0 |
* | 0 0 1 |
`
*
*/
val IDENTITY = makeTranslate(0f, 0f)
/**
*
* Creates a Matrix33 to translate by (dx, dy). Returned matrix is:
*
*
`
* | 1 0 dx |
* | 0 1 dy |
* | 0 0 1 |
`
*
*
* @param dx horizontal translation
* @param dy vertical translation
* @return Matrix33 with translation
*/
fun makeTranslate(dx: Float, dy: Float): Matrix33 {
return Matrix33(1f, 0f, dx, 0f, 1f, dy, 0f, 0f, 1f)
}
/**
*
* Creates a Matrix33 to scale by s. Returned matrix is:
*
*
`
* | s 0 0 |
* | 0 s 0 |
* | 0 0 1 |
`
*
*
* @param s scale factor
* @return Matrix33 with scale
*/
fun makeScale(s: Float): Matrix33 {
return makeScale(s, s)
}
/**
*
* Creates a Matrix33 to scale by (sx, sy). Returned matrix is:
*
*
`
* | sx 0 0 |
* | 0 sy 0 |
* | 0 0 1 |
`
*
*
* @param sx horizontal scale factor
* @param sy vertical scale factor
* @return Matrix33 with scale
*/
fun makeScale(sx: Float, sy: Float): Matrix33 {
return Matrix33(sx, 0f, 0f, 0f, sy, 0f, 0f, 0f, 1f)
}
/**
* Creates a Matrix33 to rotate by |deg| about a pivot point at (0, 0).
*
* @param deg rotation angle in degrees (positive rotates clockwise)
* @return Matrix33 with rotation
*/
fun makeRotate(deg: Float): Matrix33 {
val rad = deg.toRadians()
var sin = sin(rad)
var cos = cos(rad)
val tolerance = (1.0f / (1 shl 12)).toDouble()
if (abs(sin) <= tolerance) sin = 0.0
if (abs(cos) <= tolerance) cos = 0.0
return Matrix33(
cos.toFloat(),
(-sin).toFloat(),
0f,
sin.toFloat(),
cos.toFloat(),
0f,
0f,
0f,
1f
)
}
/**
* Creates a Matrix33 to rotate by |deg| about a pivot point at pivot.
*
* @param deg rotation angle in degrees (positive rotates clockwise)
* @param pivot pivot point
* @return Matrix33 with rotation
*/
fun makeRotate(deg: Float, pivot: Point): Matrix33 {
return makeRotate(deg, pivot.x, pivot.y)
}
/**
* Creates a Matrix33 to rotate by |deg| about a pivot point at (pivotx, pivoty).
*
* @param deg rotation angle in degrees (positive rotates clockwise)
* @param pivotx x-coord of pivot
* @param pivoty y-coord of pivot
* @return Matrix33 with rotation
*/
fun makeRotate(deg: Float, pivotx: Float, pivoty: Float): Matrix33 {
val rad = deg.toRadians()
var sin = sin(rad)
var cos = cos(rad)
val tolerance = (1.0f / (1 shl 12)).toDouble()
if (abs(sin) <= tolerance) sin = 0.0
if (abs(cos) <= tolerance) cos = 0.0
return Matrix33(
cos.toFloat(),
(-sin).toFloat(),
(pivotx - pivotx * cos + pivoty * sin).toFloat(),
sin.toFloat(),
cos.toFloat(),
(pivoty - pivoty * cos - pivotx * sin).toFloat(),
0f,
0f,
1f
)
}
/**
*
* Creates a Matrix33 to skew by (sx, sy). Returned matrix is:
*
*
