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// most of the functions are from https://webglfundamentals.org/webgl/resources/m4.js! but i doesnt want to use them all and make some adjustment to them!
class TDUtils {
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static lastMatrix = { m : null } ;
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static multiply ( a , b ) {
let b00 = b [ 0 ] ;
let b01 = b [ 1 ] ;
let b02 = b [ 2 ] ;
let b03 = b [ 3 ] ;
let b10 = b [ 4 ] ;
let b11 = b [ 5 ] ;
let b12 = b [ 6 ] ;
let b13 = b [ 7 ] ;
let b20 = b [ 8 ] ;
let b21 = b [ 9 ] ;
let b22 = b [ 10 ] ;
let b23 = b [ 11 ] ;
let b30 = b [ 12 ] ;
let b31 = b [ 13 ] ;
let b32 = b [ 14 ] ;
let b33 = b [ 15 ] ;
let a00 = a [ 0 ] ;
let a01 = a [ 1 ] ;
let a02 = a [ 2 ] ;
let a03 = a [ 3 ] ;
let a10 = a [ 4 ] ;
let a11 = a [ 5 ] ;
let a12 = a [ 6 ] ;
let a13 = a [ 7 ] ;
let a20 = a [ 8 ] ;
let a21 = a [ 9 ] ;
let a22 = a [ 10 ] ;
let a23 = a [ 11 ] ;
let a30 = a [ 12 ] ;
let a31 = a [ 13 ] ;
let a32 = a [ 14 ] ;
let a33 = a [ 15 ] ;
return [
b00 * a00 + b01 * a10 + b02 * a20 + b03 * a30 ,
b00 * a01 + b01 * a11 + b02 * a21 + b03 * a31 ,
b00 * a02 + b01 * a12 + b02 * a22 + b03 * a32 ,
b00 * a03 + b01 * a13 + b02 * a23 + b03 * a33 ,
b10 * a00 + b11 * a10 + b12 * a20 + b13 * a30 ,
b10 * a01 + b11 * a11 + b12 * a21 + b13 * a31 ,
b10 * a02 + b11 * a12 + b12 * a22 + b13 * a32 ,
b10 * a03 + b11 * a13 + b12 * a23 + b13 * a33 ,
b20 * a00 + b21 * a10 + b22 * a20 + b23 * a30 ,
b20 * a01 + b21 * a11 + b22 * a21 + b23 * a31 ,
b20 * a02 + b21 * a12 + b22 * a22 + b23 * a32 ,
b20 * a03 + b21 * a13 + b22 * a23 + b23 * a33 ,
b30 * a00 + b31 * a10 + b32 * a20 + b33 * a30 ,
b30 * a01 + b31 * a11 + b32 * a21 + b33 * a31 ,
b30 * a02 + b31 * a12 + b32 * a22 + b33 * a32 ,
b30 * a03 + b31 * a13 + b32 * a23 + b33 * a33
] ;
}
static translate ( m , tx , ty , tz , dst ) {
dst = dst || new Float32Array ( 16 ) ;
let m00 = m [ 0 ] ,
m01 = m [ 1 ] ,
m02 = m [ 2 ] ,
m03 = m [ 3 ] ,
m10 = m [ 4 ] ,
m11 = m [ 5 ] ,
m12 = m [ 6 ] ,
m13 = m [ 7 ] ,
m20 = m [ 8 ] ,
m21 = m [ 9 ] ,
m22 = m [ 10 ] ,
m23 = m [ 11 ] ,
m30 = m [ 12 ] ,
m31 = m [ 13 ] ,
m32 = m [ 14 ] ,
m33 = m [ 15 ] ;
dst [ 0 ] = m00 ;
dst [ 1 ] = m01 ;
dst [ 2 ] = m02 ;
dst [ 3 ] = m03 ;
dst [ 4 ] = m10 ;
dst [ 5 ] = m11 ;
dst [ 6 ] = m12 ;
dst [ 7 ] = m13 ;
dst [ 8 ] = m20 ;
dst [ 9 ] = m21 ;
dst [ 10 ] = m22 ;
dst [ 11 ] = m23 ;
dst [ 12 ] = m00 * tx + m10 * ty + m20 * tz + m30 ;
dst [ 13 ] = m01 * tx + m11 * ty + m21 * tz + m31 ;
dst [ 14 ] = m02 * tx + m12 * ty + m22 * tz + m32 ;
dst [ 15 ] = m03 * tx + m13 * ty + m23 * tz + m33 ;
return dst ;
}
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static xRotation ( angle ) {
angle = TDUtils . degToRad ( angle ) ;
let c = Math . cos ( angle ) ;
let s = Math . sin ( angle ) ;
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return [
1 , 0 , 0 , 0 ,
0 , c , s , 0 ,
0 , - s , c , 0 ,
0 , 0 , 0 , 1 ,
] ;
}
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static yRotation ( angle ) {
angle = TDUtils . degToRad ( angle ) ;
let c = Math . cos ( angle ) ;
let s = Math . sin ( angle ) ;
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return [
c , 0 , - s , 0 ,
0 , 1 , 0 , 0 ,
s , 0 , c , 0 ,
0 , 0 , 0 , 1 ,
] ;
}
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static zRotation ( angle ) {
angle = TDUtils . degToRad ( angle ) ;
let c = Math . cos ( angle ) ;
let s = Math . sin ( angle ) ;
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return [
c , s , 0 , 0 ,
- s , c , 0 , 0 ,
0 , 0 , 1 , 0 ,
0 , 0 , 0 , 1 ,
] ;
}
static degToRad ( d ) {
return d * Math . PI / 180 ;
}
static scale ( sx , sy , sz , dst ) {
dst = dst || new Float32Array ( 16 ) ;
dst [ 0 ] = sx ;
dst [ 5 ] = sy ;
dst [ 10 ] = sz ;
return dst ;
}
static lookAt ( cameraPosition , target , up , dst ) {
dst = dst || new Float32Array ( 16 ) ;
let zAxis = TDUtils . normalize (
TDUtils . subtractVectors ( cameraPosition , target ) ) ;
let xAxis = TDUtils . normalize ( TDUtils . cross ( up , zAxis ) ) ;
let yAxis = TDUtils . normalize ( TDUtils . cross ( zAxis , xAxis ) ) ;
dst [ 0 ] = xAxis [ 0 ] ;
dst [ 1 ] = xAxis [ 1 ] ;
dst [ 2 ] = xAxis [ 2 ] ;
dst [ 4 ] = yAxis [ 0 ] ;
dst [ 5 ] = yAxis [ 1 ] ;
dst [ 6 ] = yAxis [ 2 ] ;
dst [ 8 ] = zAxis [ 0 ] ;
dst [ 9 ] = zAxis [ 1 ] ;
dst [ 10 ] = zAxis [ 2 ] ;
dst [ 12 ] = cameraPosition [ 0 ] ;
dst [ 13 ] = cameraPosition [ 1 ] ;
dst [ 14 ] = cameraPosition [ 2 ] ;
dst [ 15 ] = 1 ;
return dst ;
}
static cross ( a , b , dst ) {
dst = dst || new Float32Array ( 3 ) ;
dst [ 0 ] = a [ 1 ] * b [ 2 ] - a [ 2 ] * b [ 1 ] ;
dst [ 1 ] = a [ 2 ] * b [ 0 ] - a [ 0 ] * b [ 2 ] ;
dst [ 2 ] = a [ 0 ] * b [ 1 ] - a [ 1 ] * b [ 0 ] ;
return dst ;
}
static normalize ( v , dst ) {
dst = dst || new Float32Array ( 3 ) ;
let length = Math . sqrt ( v [ 0 ] * v [ 0 ] + v [ 1 ] * v [ 1 ] + v [ 2 ] * v [ 2 ] ) ;
if ( length > 0.00001 ) {
dst [ 0 ] = v [ 0 ] / length ;
dst [ 1 ] = v [ 1 ] / length ;
dst [ 2 ] = v [ 2 ] / length ;
}
return dst ;
}
static subtractVectors ( a , b , dst ) {
dst = dst || new Float32Array ( 3 ) ;
dst [ 0 ] = a [ 0 ] - b [ 0 ] ;
dst [ 1 ] = a [ 1 ] - b [ 1 ] ;
dst [ 2 ] = a [ 2 ] - b [ 2 ] ;
return dst ;
}
static perspective ( fieldOfViewInRadians , aspect , near , far , dst ) {
dst = dst || new Float32Array ( 16 ) ;
let f = Math . tan ( Math . PI * 0.5 - 0.5 * fieldOfViewInRadians ) ,
rangeInv = 1.0 / ( near - far ) ;
dst [ 0 ] = f / aspect ;
dst [ 5 ] = f ;
dst [ 10 ] = ( near + far ) * rangeInv ;
dst [ 11 ] = - 1 ;
dst [ 14 ] = near * far * rangeInv * 2 ;
return dst ;
}
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static projection ( width , height , depth ) {
return [
2 / width , 0 , 0 , 0 ,
0 , - 2 / height , 0 , 0 ,
0 , 0 , 2 / depth , 0 ,
- 1 , 1 , 0 , 1 ,
] ;
}
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static inverse ( m , dst ) {
dst = dst || new Float32Array ( 16 ) ;
let m00 = m [ 0 ] ,
m01 = m [ 1 ] ,
m02 = m [ 2 ] ,
m03 = m [ 3 ] ,
m10 = m [ 4 ] ,
m11 = m [ 5 ] ,
m12 = m [ 6 ] ,
m13 = m [ 7 ] ,
m20 = m [ 8 ] ,
m21 = m [ 9 ] ,
m22 = m [ 10 ] ,
m23 = m [ 11 ] ,
m30 = m [ 12 ] ,
m31 = m [ 13 ] ,
m32 = m [ 14 ] ,
m33 = m [ 15 ] ,
tmp _0 = m22 * m33 ,
tmp _1 = m32 * m23 ,
tmp _2 = m12 * m33 ,
tmp _3 = m32 * m13 ,
tmp _4 = m12 * m23 ,
tmp _5 = m22 * m13 ,
tmp _6 = m02 * m33 ,
tmp _7 = m32 * m03 ,
tmp _8 = m02 * m23 ,
tmp _9 = m22 * m03 ,
tmp _10 = m02 * m13 ,
tmp _11 = m12 * m03 ,
tmp _12 = m20 * m31 ,
tmp _13 = m30 * m21 ,
tmp _14 = m10 * m31 ,
tmp _15 = m30 * m11 ,
tmp _16 = m10 * m21 ,
tmp _17 = m20 * m11 ,
tmp _18 = m00 * m31 ,
tmp _19 = m30 * m01 ,
tmp _20 = m00 * m21 ,
tmp _21 = m20 * m01 ,
tmp _22 = m00 * m11 ,
tmp _23 = m10 * m01 ,
t0 = ( tmp _0 * m11 + tmp _3 * m21 + tmp _4 * m31 ) -
( tmp _1 * m11 + tmp _2 * m21 + tmp _5 * m31 ) ,
t1 = ( tmp _1 * m01 + tmp _6 * m21 + tmp _9 * m31 ) -
( tmp _0 * m01 + tmp _7 * m21 + tmp _8 * m31 ) ,
t2 = ( tmp _2 * m01 + tmp _7 * m11 + tmp _10 * m31 ) -
( tmp _3 * m01 + tmp _6 * m11 + tmp _11 * m31 ) ,
t3 = ( tmp _5 * m01 + tmp _8 * m11 + tmp _11 * m21 ) -
( tmp _4 * m01 + tmp _9 * m11 + tmp _10 * m21 ) ,
d = 1.0 / ( m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3 ) ;
dst [ 0 ] = d * t0 ;
dst [ 1 ] = d * t1 ;
dst [ 2 ] = d * t2 ;
dst [ 3 ] = d * t3 ;
dst [ 4 ] = d * ( ( tmp _1 * m10 + tmp _2 * m20 + tmp _5 * m30 ) -
( tmp _0 * m10 + tmp _3 * m20 + tmp _4 * m30 ) ) ;
dst [ 5 ] = d * ( ( tmp _0 * m00 + tmp _7 * m20 + tmp _8 * m30 ) -
( tmp _1 * m00 + tmp _6 * m20 + tmp _9 * m30 ) ) ;
dst [ 6 ] = d * ( ( tmp _3 * m00 + tmp _6 * m10 + tmp _11 * m30 ) -
( tmp _2 * m00 + tmp _7 * m10 + tmp _10 * m30 ) ) ;
dst [ 7 ] = d * ( ( tmp _4 * m00 + tmp _9 * m10 + tmp _10 * m20 ) -
( tmp _5 * m00 + tmp _8 * m10 + tmp _11 * m20 ) ) ;
dst [ 8 ] = d * ( ( tmp _12 * m13 + tmp _15 * m23 + tmp _16 * m33 ) -
( tmp _13 * m13 + tmp _14 * m23 + tmp _17 * m33 ) ) ;
dst [ 9 ] = d * ( ( tmp _13 * m03 + tmp _18 * m23 + tmp _21 * m33 ) -
( tmp _12 * m03 + tmp _19 * m23 + tmp _20 * m33 ) ) ;
dst [ 10 ] = d * ( ( tmp _14 * m03 + tmp _19 * m13 + tmp _22 * m33 ) -
( tmp _15 * m03 + tmp _18 * m13 + tmp _23 * m33 ) ) ;
dst [ 11 ] = d * ( ( tmp _17 * m03 + tmp _20 * m13 + tmp _23 * m23 ) -
( tmp _16 * m03 + tmp _21 * m13 + tmp _22 * m23 ) ) ;
dst [ 12 ] = d * ( ( tmp _14 * m22 + tmp _17 * m32 + tmp _13 * m12 ) -
( tmp _16 * m32 + tmp _12 * m12 + tmp _15 * m22 ) ) ;
dst [ 13 ] = d * ( ( tmp _20 * m32 + tmp _12 * m02 + tmp _19 * m22 ) -
( tmp _18 * m22 + tmp _21 * m32 + tmp _13 * m02 ) ) ;
dst [ 14 ] = d * ( ( tmp _18 * m12 + tmp _23 * m32 + tmp _15 * m02 ) -
( tmp _22 * m32 + tmp _14 * m02 + tmp _19 * m12 ) ) ;
dst [ 15 ] = d * ( ( tmp _22 * m22 + tmp _16 * m02 + tmp _21 * m12 ) -
( tmp _20 * m12 + tmp _23 * m22 + tmp _17 * m02 ) ) ;
return dst ;
}
static aspectView ( aspect ) {
return [
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1 / aspect , 0 , 0 , 0 ,
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0 , 1 , 0 , 0 ,
0 , 0 , 1 , 0 ,
0 , 0 , 0 , 1
]
}
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static updateRotate ( rotation , def ) {
let value = vConf . get ( rotation , def ) + vConf . get ( rotation + '-inc' , 0 )
if ( value > 360 ) {
value -= 360 ;
} else if ( value < - 360 ) {
value += 360 ;
}
vConf . set ( rotation , value ) ;
}
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static makeZToWMatrix ( fudgeFactor ) {
return [
1 , 0 , 0 , 0 ,
0 , 1 , 0 , 0 ,
0 , 0 , 1 , fudgeFactor ,
0 , 0 , 0 , 1 ,
] ;
}
}
class GLHelper {
constructor ( program ) {
this . matrix = new Float32Array ( 16 ) ;
this . program = program ;
}
static uniform4fv ( program , name , data ) {
let uniform = gl . getUniformLocation ( program , name ) ;
gl . uniform4fv ( uniform , data ) ;
}
static uniform3fv ( program , name , data ) {
let uniform = gl . getUniformLocation ( program , name ) ;
gl . uniform3fv ( uniform , data ) ;
}
static uniform1f ( program , name , data ) {
let uniform = gl . getUniformLocation ( program , name ) ;
gl . uniform1f ( uniform , data ) ;
}
rotateX ( deg ) {
this . matrix = TDUtils . multiply ( this . matrix , TDUtils . xRotation ( deg ) ) ;
}
rotateY ( deg ) {
this . matrix = TDUtils . multiply ( this . matrix , TDUtils . yRotation ( deg ) ) ;
}
rotateZ ( deg ) {
this . matrix = TDUtils . multiply ( this . matrix , TDUtils . zRotation ( deg ) ) ;
}
scale ( scaling ) {
this . matrix = TDUtils . multiply ( this . matrix , TDUtils . scale ( scaling [ 0 ] , scaling [ 1 ] , scaling [ 2 ] ) )
}
project ( depth ) {
depth = depth || ( c . width > c . height ) ? c . width : c . height ;
this . matrix = TDUtils . projection ( c . width , c . height , depth )
}
translate ( t ) {
this . matrix = TDUtils . translate ( this . matrix , t [ 0 ] || 0 , t [ 1 ] || 0 , t [ 2 ] || 0 ) ;
}
addFudgeFactor ( fudgeFactor ) {
this . matrix = TDUtils . multiply ( TDUtils . makeZToWMatrix ( fudgeFactor ) , this . matrix ) ;
}
applyMatrix ( ) {
let matrix = gl . getUniformLocation ( this . program , "u_matrix" ) ;
gl . uniformMatrix4fv ( matrix , false , this . matrix ) ;
}
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}