mirror of
https://github.com/hajimehoshi/ebiten.git
synced 2024-11-15 23:47:26 +01:00
589 lines
13 KiB
Go
589 lines
13 KiB
Go
// Copyright 2014 Hajime Hoshi
|
|
//
|
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
|
// you may not use this file except in compliance with the License.
|
|
// You may obtain a copy of the License at
|
|
//
|
|
// http://www.apache.org/licenses/LICENSE-2.0
|
|
//
|
|
// Unless required by applicable law or agreed to in writing, software
|
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
// See the License for the specific language governing permissions and
|
|
// limitations under the License.
|
|
|
|
package affine
|
|
|
|
import (
|
|
"image/color"
|
|
"math"
|
|
)
|
|
|
|
// ColorMDim is a dimension of a ColorM.
|
|
const ColorMDim = 5
|
|
|
|
var (
|
|
colorMIdentityBody = []float32{
|
|
1, 0, 0, 0,
|
|
0, 1, 0, 0,
|
|
0, 0, 1, 0,
|
|
0, 0, 0, 1,
|
|
}
|
|
colorMIdentityTranslate = []float32{
|
|
0, 0, 0, 0,
|
|
}
|
|
)
|
|
|
|
// A ColorM represents a matrix to transform coloring when rendering an image.
|
|
//
|
|
// A ColorM is applied to the source alpha color
|
|
// while an Image's pixels' format is alpha premultiplied.
|
|
// Before applying a matrix, a color is un-multiplied, and after applying the matrix,
|
|
// the color is multiplied again.
|
|
//
|
|
// The nil and initial value is identity.
|
|
type ColorM struct {
|
|
// When elements is nil, this matrix is identity.
|
|
// elements are immutable and a new array must be created when updating.
|
|
body []float32
|
|
translate []float32
|
|
}
|
|
|
|
func clamp(x float32) float32 {
|
|
if x > 1 {
|
|
return 1
|
|
}
|
|
if x < 0 {
|
|
return 0
|
|
}
|
|
return x
|
|
}
|
|
|
|
func (c *ColorM) isInited() bool {
|
|
return c != nil && (c.body != nil || c.translate != nil)
|
|
}
|
|
|
|
func (c *ColorM) ScaleOnly() bool {
|
|
if c == nil {
|
|
return true
|
|
}
|
|
if c.body != nil {
|
|
if c.body[1] != 0 {
|
|
return false
|
|
}
|
|
if c.body[2] != 0 {
|
|
return false
|
|
}
|
|
if c.body[3] != 0 {
|
|
return false
|
|
}
|
|
if c.body[4] != 0 {
|
|
return false
|
|
}
|
|
if c.body[6] != 0 {
|
|
return false
|
|
}
|
|
if c.body[7] != 0 {
|
|
return false
|
|
}
|
|
if c.body[8] != 0 {
|
|
return false
|
|
}
|
|
if c.body[9] != 0 {
|
|
return false
|
|
}
|
|
if c.body[11] != 0 {
|
|
return false
|
|
}
|
|
if c.body[12] != 0 {
|
|
return false
|
|
}
|
|
if c.body[13] != 0 {
|
|
return false
|
|
}
|
|
if c.body[14] != 0 {
|
|
return false
|
|
}
|
|
}
|
|
if c.translate != nil {
|
|
for _, e := range c.translate {
|
|
if e != 0 {
|
|
return false
|
|
}
|
|
}
|
|
}
|
|
return true
|
|
}
|
|
|
|
func (c *ColorM) Apply(clr color.Color) color.Color {
|
|
if !c.isInited() {
|
|
return clr
|
|
}
|
|
r, g, b, a := clr.RGBA()
|
|
rf, gf, bf, af := float32(0.0), float32(0.0), float32(0.0), float32(0.0)
|
|
// Unmultiply alpha
|
|
if a > 0 {
|
|
rf = float32(r) / float32(a)
|
|
gf = float32(g) / float32(a)
|
|
bf = float32(b) / float32(a)
|
|
af = float32(a) / 0xffff
|
|
}
|
|
eb := c.body
|
|
if eb == nil {
|
|
eb = colorMIdentityBody
|
|
}
|
|
et := c.translate
|
|
if et == nil {
|
|
et = colorMIdentityTranslate
|
|
}
|
|
rf2 := eb[0]*rf + eb[4]*gf + eb[8]*bf + eb[12]*af + et[0]
|
|
gf2 := eb[1]*rf + eb[5]*gf + eb[9]*bf + eb[13]*af + et[1]
|
|
bf2 := eb[2]*rf + eb[6]*gf + eb[10]*bf + eb[14]*af + et[2]
|
|
af2 := eb[3]*rf + eb[7]*gf + eb[11]*bf + eb[15]*af + et[3]
|
|
rf2 = clamp(rf2)
|
|
gf2 = clamp(gf2)
|
|
bf2 = clamp(bf2)
|
|
af2 = clamp(af2)
|
|
return color.NRGBA64{
|
|
R: uint16(rf2 * 0xffff),
|
|
G: uint16(gf2 * 0xffff),
|
|
B: uint16(bf2 * 0xffff),
|
|
A: uint16(af2 * 0xffff),
|
|
}
|
|
}
|
|
|
|
func (c *ColorM) UnsafeElements() ([]float32, []float32) {
|
|
if !c.isInited() {
|
|
return colorMIdentityBody, colorMIdentityTranslate
|
|
}
|
|
eb := c.body
|
|
if eb == nil {
|
|
eb = colorMIdentityBody
|
|
}
|
|
et := c.translate
|
|
if et == nil {
|
|
et = colorMIdentityTranslate
|
|
}
|
|
return eb, et
|
|
}
|
|
|
|
func (c *ColorM) det() float32 {
|
|
if !c.isInited() {
|
|
return 1
|
|
}
|
|
|
|
m00 := c.body[0]
|
|
m01 := c.body[1]
|
|
m02 := c.body[2]
|
|
m03 := c.body[3]
|
|
m10 := c.body[4]
|
|
m11 := c.body[5]
|
|
m12 := c.body[6]
|
|
m13 := c.body[7]
|
|
m20 := c.body[8]
|
|
m21 := c.body[9]
|
|
m22 := c.body[10]
|
|
m23 := c.body[11]
|
|
m30 := c.body[12]
|
|
m31 := c.body[13]
|
|
m32 := c.body[14]
|
|
m33 := c.body[15]
|
|
|
|
b234234 := m22*m33 - m23*m32
|
|
b134234 := m21*m33 - m23*m31
|
|
b124234 := m21*m32 - m22*m31
|
|
b034234 := m20*m33 - m23*m30
|
|
b024234 := m20*m32 - m22*m30
|
|
b014234 := m20*m31 - m21*m30
|
|
|
|
return m00*(m11*b234234-m12*b134234+m13*b124234) -
|
|
m01*(m10*b234234-m12*b034234+m13*b024234) +
|
|
m02*(m10*b134234-m11*b034234+m13*b014234) -
|
|
m03*(m10*b124234-m11*b024234+m12*b014234)
|
|
}
|
|
|
|
// IsInvertible returns a boolean value indicating
|
|
// whether the matrix c is invertible or not.
|
|
func (c *ColorM) IsInvertible() bool {
|
|
return c.det() != 0
|
|
}
|
|
|
|
// Invert inverts the matrix.
|
|
// If c is not invertible, Invert panics.
|
|
func (c *ColorM) Invert() *ColorM {
|
|
if !c.isInited() {
|
|
return nil
|
|
}
|
|
|
|
det := c.det()
|
|
if det == 0 {
|
|
panic("affine: c is not invertible")
|
|
}
|
|
|
|
m00 := c.body[0]
|
|
m01 := c.body[1]
|
|
m02 := c.body[2]
|
|
m03 := c.body[3]
|
|
|
|
m10 := c.body[4]
|
|
m11 := c.body[5]
|
|
m12 := c.body[6]
|
|
m13 := c.body[7]
|
|
|
|
m20 := c.body[8]
|
|
m21 := c.body[9]
|
|
m22 := c.body[10]
|
|
m23 := c.body[11]
|
|
|
|
m30 := c.body[12]
|
|
m31 := c.body[13]
|
|
m32 := c.body[14]
|
|
m33 := c.body[15]
|
|
|
|
m40 := c.translate[0]
|
|
m41 := c.translate[1]
|
|
m42 := c.translate[2]
|
|
m43 := c.translate[3]
|
|
|
|
a2334 := m32*m43 - m33*m42
|
|
a1334 := m31*m43 - m33*m41
|
|
a1234 := m31*m42 - m32*m41
|
|
a0334 := m30*m43 - m33*m40
|
|
a0234 := m30*m42 - m32*m40
|
|
a0134 := m30*m41 - m31*m40
|
|
a2324 := m22*m43 - m23*m42
|
|
a1324 := m21*m43 - m23*m41
|
|
a1224 := m21*m42 - m22*m41
|
|
a0324 := m20*m43 - m23*m40
|
|
a0224 := m20*m42 - m22*m40
|
|
a0124 := m20*m41 - m21*m40
|
|
|
|
b234234 := m22*m33 - m23*m32
|
|
b134234 := m21*m33 - m23*m31
|
|
b124234 := m21*m32 - m22*m31
|
|
b123234 := m21*a2334 - m22*a1334 + m23*a1234
|
|
b034234 := m20*m33 - m23*m30
|
|
b024234 := m20*m32 - m22*m30
|
|
b023234 := m20*a2334 - m22*a0334 + m23*a0234
|
|
b014234 := m20*m31 - m21*m30
|
|
b013234 := m20*a1334 - m21*a0334 + m23*a0134
|
|
b012234 := m20*a1234 - m21*a0234 + m22*a0134
|
|
b234134 := m12*m33 - m13*m32
|
|
b134134 := m11*m33 - m13*m31
|
|
b124134 := m11*m32 - m12*m31
|
|
b123134 := m11*a2334 - m12*a1334 + m13*a1234
|
|
b234124 := m12*m23 - m13*m22
|
|
b134124 := m11*m23 - m13*m21
|
|
b124124 := m11*m22 - m12*m21
|
|
b123124 := m11*a2324 - m12*a1324 + m13*a1224
|
|
b034134 := m10*m33 - m13*m30
|
|
b024134 := m10*m32 - m12*m30
|
|
b023134 := m10*a2334 - m12*a0334 + m13*a0234
|
|
b034124 := m10*m23 - m13*m20
|
|
b024124 := m10*m22 - m12*m20
|
|
b023124 := m10*a2324 - m12*a0324 + m13*a0224
|
|
b014134 := m10*m31 - m11*m30
|
|
b013134 := m10*a1334 - m11*a0334 + m13*a0134
|
|
b014124 := m10*m21 - m11*m20
|
|
b013124 := m10*a1324 - m11*a0324 + m13*a0124
|
|
b012134 := m10*a1234 - m11*a0234 + m12*a0134
|
|
b012124 := m10*a1224 - m11*a0224 + m12*a0124
|
|
|
|
m := &ColorM{
|
|
body: make([]float32, 16),
|
|
translate: make([]float32, 4),
|
|
}
|
|
|
|
idet := 1 / det
|
|
|
|
m.body[0] = idet * (m11*b234234 - m12*b134234 + m13*b124234)
|
|
m.body[1] = idet * -(m01*b234234 - m02*b134234 + m03*b124234)
|
|
m.body[2] = idet * (m01*b234134 - m02*b134134 + m03*b124134)
|
|
m.body[3] = idet * -(m01*b234124 - m02*b134124 + m03*b124124)
|
|
m.body[4] = idet * -(m10*b234234 - m12*b034234 + m13*b024234)
|
|
m.body[5] = idet * (m00*b234234 - m02*b034234 + m03*b024234)
|
|
m.body[6] = idet * -(m00*b234134 - m02*b034134 + m03*b024134)
|
|
m.body[7] = idet * (m00*b234124 - m02*b034124 + m03*b024124)
|
|
m.body[8] = idet * (m10*b134234 - m11*b034234 + m13*b014234)
|
|
m.body[9] = idet * -(m00*b134234 - m01*b034234 + m03*b014234)
|
|
m.body[10] = idet * (m00*b134134 - m01*b034134 + m03*b014134)
|
|
m.body[11] = idet * -(m00*b134124 - m01*b034124 + m03*b014124)
|
|
m.body[12] = idet * -(m10*b124234 - m11*b024234 + m12*b014234)
|
|
m.body[13] = idet * (m00*b124234 - m01*b024234 + m02*b014234)
|
|
m.body[14] = idet * -(m00*b124134 - m01*b024134 + m02*b014134)
|
|
m.body[15] = idet * (m00*b124124 - m01*b024124 + m02*b014124)
|
|
m.translate[0] = idet * (m10*b123234 - m11*b023234 + m12*b013234 - m13*b012234)
|
|
m.translate[1] = idet * -(m00*b123234 - m01*b023234 + m02*b013234 - m03*b012234)
|
|
m.translate[2] = idet * (m00*b123134 - m01*b023134 + m02*b013134 - m03*b012134)
|
|
m.translate[3] = idet * -(m00*b123124 - m01*b023124 + m02*b013124 - m03*b012124)
|
|
return m
|
|
}
|
|
|
|
// Element returns a value of a matrix at (i, j).
|
|
func (c *ColorM) Element(i, j int) float32 {
|
|
b, t := c.UnsafeElements()
|
|
if j < ColorMDim-1 {
|
|
return b[i+j*(ColorMDim-1)]
|
|
}
|
|
return t[i]
|
|
}
|
|
|
|
// SetElement sets an element at (i, j).
|
|
func (c *ColorM) SetElement(i, j int, element float32) *ColorM {
|
|
newC := &ColorM{
|
|
body: make([]float32, 16),
|
|
translate: make([]float32, 4),
|
|
}
|
|
copy(newC.body, colorMIdentityBody)
|
|
copy(newC.translate, colorMIdentityTranslate)
|
|
if c.isInited() {
|
|
if c.body != nil {
|
|
copy(newC.body, c.body)
|
|
}
|
|
if c.translate != nil {
|
|
copy(newC.translate, c.translate)
|
|
}
|
|
}
|
|
if j < (ColorMDim - 1) {
|
|
newC.body[i+j*(ColorMDim-1)] = element
|
|
} else {
|
|
newC.translate[i] = element
|
|
}
|
|
return newC
|
|
}
|
|
|
|
func (c *ColorM) Equals(other *ColorM) bool {
|
|
if !c.isInited() && !other.isInited() {
|
|
return true
|
|
}
|
|
|
|
lhsb := colorMIdentityBody
|
|
lhst := colorMIdentityTranslate
|
|
rhsb := colorMIdentityBody
|
|
rhst := colorMIdentityTranslate
|
|
if other.isInited() {
|
|
if other.body != nil {
|
|
lhsb = other.body
|
|
}
|
|
if other.translate != nil {
|
|
lhst = other.translate
|
|
}
|
|
}
|
|
if c.isInited() {
|
|
if c.body != nil {
|
|
rhsb = c.body
|
|
}
|
|
if c.translate != nil {
|
|
rhst = c.translate
|
|
}
|
|
}
|
|
if &lhsb == &rhsb && &lhst == &rhst {
|
|
return true
|
|
}
|
|
|
|
for i := range lhsb {
|
|
if lhsb[i] != rhsb[i] {
|
|
return false
|
|
}
|
|
}
|
|
for i := range lhst {
|
|
if lhst[i] != rhst[i] {
|
|
return false
|
|
}
|
|
}
|
|
return true
|
|
}
|
|
|
|
// Concat multiplies a color matrix with the other color matrix.
|
|
// This is same as muptiplying the matrix other and the matrix c in this order.
|
|
func (c *ColorM) Concat(other *ColorM) *ColorM {
|
|
if !c.isInited() {
|
|
return other
|
|
}
|
|
if !other.isInited() {
|
|
return c
|
|
}
|
|
|
|
lhsb := colorMIdentityBody
|
|
lhst := colorMIdentityTranslate
|
|
rhsb := colorMIdentityBody
|
|
rhst := colorMIdentityTranslate
|
|
if other.isInited() {
|
|
if other.body != nil {
|
|
lhsb = other.body
|
|
}
|
|
if other.translate != nil {
|
|
lhst = other.translate
|
|
}
|
|
}
|
|
if c.isInited() {
|
|
if c.body != nil {
|
|
rhsb = c.body
|
|
}
|
|
if c.translate != nil {
|
|
rhst = c.translate
|
|
}
|
|
}
|
|
|
|
return &ColorM{
|
|
// TODO: This is a temporary hack to calculate multiply of transposed matrices.
|
|
// Fix mulSquare implmentation and swap the arguments.
|
|
body: mulSquare(rhsb, lhsb, ColorMDim-1),
|
|
translate: []float32{
|
|
lhsb[0]*rhst[0] + lhsb[4]*rhst[1] + lhsb[8]*rhst[2] + lhsb[12]*rhst[3] + lhst[0],
|
|
lhsb[1]*rhst[0] + lhsb[5]*rhst[1] + lhsb[9]*rhst[2] + lhsb[13]*rhst[3] + lhst[1],
|
|
lhsb[2]*rhst[0] + lhsb[6]*rhst[1] + lhsb[10]*rhst[2] + lhsb[14]*rhst[3] + lhst[2],
|
|
lhsb[3]*rhst[0] + lhsb[7]*rhst[1] + lhsb[11]*rhst[2] + lhsb[15]*rhst[3] + lhst[3],
|
|
},
|
|
}
|
|
}
|
|
|
|
// Add is deprecated.
|
|
func (c *ColorM) Add(other *ColorM) *ColorM {
|
|
lhsb := colorMIdentityBody
|
|
lhst := colorMIdentityTranslate
|
|
rhsb := colorMIdentityBody
|
|
rhst := colorMIdentityTranslate
|
|
if other.isInited() {
|
|
if other.body != nil {
|
|
lhsb = other.body
|
|
}
|
|
if other.translate != nil {
|
|
lhst = other.translate
|
|
}
|
|
}
|
|
if c.isInited() {
|
|
if c.body != nil {
|
|
rhsb = c.body
|
|
}
|
|
if c.translate != nil {
|
|
rhst = c.translate
|
|
}
|
|
}
|
|
|
|
newC := &ColorM{
|
|
body: make([]float32, 16),
|
|
translate: make([]float32, 4),
|
|
}
|
|
for i := range lhsb {
|
|
newC.body[i] = lhsb[i] + rhsb[i]
|
|
}
|
|
for i := range lhst {
|
|
newC.translate[i] = lhst[i] + rhst[i]
|
|
}
|
|
|
|
return newC
|
|
}
|
|
|
|
// Scale scales the matrix by (r, g, b, a).
|
|
func (c *ColorM) Scale(r, g, b, a float32) *ColorM {
|
|
if !c.isInited() {
|
|
return &ColorM{
|
|
body: []float32{
|
|
r, 0, 0, 0,
|
|
0, g, 0, 0,
|
|
0, 0, b, 0,
|
|
0, 0, 0, a,
|
|
},
|
|
}
|
|
}
|
|
eb := make([]float32, len(colorMIdentityBody))
|
|
if c.body != nil {
|
|
copy(eb, c.body)
|
|
for i := 0; i < ColorMDim-1; i++ {
|
|
eb[i*(ColorMDim-1)] *= r
|
|
eb[i*(ColorMDim-1)+1] *= g
|
|
eb[i*(ColorMDim-1)+2] *= b
|
|
eb[i*(ColorMDim-1)+3] *= a
|
|
}
|
|
} else {
|
|
eb[0] = r
|
|
eb[5] = g
|
|
eb[10] = b
|
|
eb[15] = a
|
|
}
|
|
|
|
et := make([]float32, len(colorMIdentityTranslate))
|
|
if c.translate != nil {
|
|
et[0] = c.translate[0] * r
|
|
et[1] = c.translate[1] * g
|
|
et[2] = c.translate[2] * b
|
|
et[3] = c.translate[3] * a
|
|
}
|
|
|
|
return &ColorM{
|
|
body: eb,
|
|
translate: et,
|
|
}
|
|
}
|
|
|
|
// Translate translates the matrix by (r, g, b, a).
|
|
func (c *ColorM) Translate(r, g, b, a float32) *ColorM {
|
|
if !c.isInited() {
|
|
return &ColorM{
|
|
translate: []float32{r, g, b, a},
|
|
}
|
|
}
|
|
es := make([]float32, len(colorMIdentityTranslate))
|
|
if c.translate != nil {
|
|
copy(es, c.translate)
|
|
}
|
|
es[0] += r
|
|
es[1] += g
|
|
es[2] += b
|
|
es[3] += a
|
|
return &ColorM{
|
|
body: c.body,
|
|
translate: es,
|
|
}
|
|
}
|
|
|
|
var (
|
|
// The YCbCr value ranges are:
|
|
// Y: [ 0 - 1 ]
|
|
// Cb: [-0.5 - 0.5]
|
|
// Cr: [-0.5 - 0.5]
|
|
|
|
rgbToYCbCr = &ColorM{
|
|
body: []float32{
|
|
0.2990, -0.1687, 0.5000, 0,
|
|
0.5870, -0.3313, -0.4187, 0,
|
|
0.1140, 0.5000, -0.0813, 0,
|
|
0, 0, 0, 1,
|
|
},
|
|
}
|
|
yCbCrToRgb = &ColorM{
|
|
body: []float32{
|
|
1, 1, 1, 0,
|
|
0, -0.34414, 1.77200, 0,
|
|
1.40200, -0.71414, 0, 0,
|
|
0, 0, 0, 1,
|
|
},
|
|
}
|
|
)
|
|
|
|
// ChangeHSV changes HSV (Hue-Saturation-Value) elements.
|
|
// hueTheta is a radian value to ratate hue.
|
|
// saturationScale is a value to scale saturation.
|
|
// valueScale is a value to scale value (a.k.a. brightness).
|
|
//
|
|
// This conversion uses RGB to/from YCrCb conversion.
|
|
func (c *ColorM) ChangeHSV(hueTheta float64, saturationScale float32, valueScale float32) *ColorM {
|
|
sin, cos := math.Sincos(hueTheta)
|
|
s32, c32 := float32(sin), float32(cos)
|
|
c = c.Concat(rgbToYCbCr)
|
|
c = c.Concat(&ColorM{
|
|
body: []float32{
|
|
1, 0, 0, 0,
|
|
0, c32, s32, 0,
|
|
0, -s32, c32, 0,
|
|
0, 0, 0, 1,
|
|
},
|
|
})
|
|
s := saturationScale
|
|
v := valueScale
|
|
c = c.Scale(v, s*v, s*v, 1)
|
|
c = c.Concat(yCbCrToRgb)
|
|
return c
|
|
}
|