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import { Vector3 } from './Vector3.js'; | |
/** | |
* @author alteredq / http://alteredqualia.com/ | |
* @author WestLangley / http://github.com/WestLangley | |
* @author bhouston / http://clara.io | |
* @author tschw | |
*/ | |
function Matrix3() { | |
this.elements = [ | |
1, 0, 0, | |
0, 1, 0, | |
0, 0, 1 | |
]; | |
if ( arguments.length > 0 ) { | |
console.error( 'THREE.Matrix3: the constructor no longer reads arguments. use .set() instead.' ); | |
} | |
} | |
Object.assign( Matrix3.prototype, { | |
isMatrix3: true, | |
set: function ( n11, n12, n13, n21, n22, n23, n31, n32, n33 ) { | |
var te = this.elements; | |
te[ 0 ] = n11; te[ 1 ] = n21; te[ 2 ] = n31; | |
te[ 3 ] = n12; te[ 4 ] = n22; te[ 5 ] = n32; | |
te[ 6 ] = n13; te[ 7 ] = n23; te[ 8 ] = n33; | |
return this; | |
}, | |
identity: function () { | |
this.set( | |
1, 0, 0, | |
0, 1, 0, | |
0, 0, 1 | |
); | |
return this; | |
}, | |
clone: function () { | |
return new this.constructor().fromArray( this.elements ); | |
}, | |
copy: function ( m ) { | |
var te = this.elements; | |
var me = m.elements; | |
te[ 0 ] = me[ 0 ]; te[ 1 ] = me[ 1 ]; te[ 2 ] = me[ 2 ]; | |
te[ 3 ] = me[ 3 ]; te[ 4 ] = me[ 4 ]; te[ 5 ] = me[ 5 ]; | |
te[ 6 ] = me[ 6 ]; te[ 7 ] = me[ 7 ]; te[ 8 ] = me[ 8 ]; | |
return this; | |
}, | |
setFromMatrix4: function ( m ) { | |
var me = m.elements; | |
this.set( | |
me[ 0 ], me[ 4 ], me[ 8 ], | |
me[ 1 ], me[ 5 ], me[ 9 ], | |
me[ 2 ], me[ 6 ], me[ 10 ] | |
); | |
return this; | |
}, | |
applyToBufferAttribute: function () { | |
var v1 = new Vector3(); | |
return function applyToBufferAttribute( attribute ) { | |
for ( var i = 0, l = attribute.count; i < l; i ++ ) { | |
v1.x = attribute.getX( i ); | |
v1.y = attribute.getY( i ); | |
v1.z = attribute.getZ( i ); | |
v1.applyMatrix3( this ); | |
attribute.setXYZ( i, v1.x, v1.y, v1.z ); | |
} | |
return attribute; | |
}; | |
}(), | |
multiply: function ( m ) { | |
return this.multiplyMatrices( this, m ); | |
}, | |
premultiply: function ( m ) { | |
return this.multiplyMatrices( m, this ); | |
}, | |
multiplyMatrices: function ( a, b ) { | |
var ae = a.elements; | |
var be = b.elements; | |
var te = this.elements; | |
var a11 = ae[ 0 ], a12 = ae[ 3 ], a13 = ae[ 6 ]; | |
var a21 = ae[ 1 ], a22 = ae[ 4 ], a23 = ae[ 7 ]; | |
var a31 = ae[ 2 ], a32 = ae[ 5 ], a33 = ae[ 8 ]; | |
var b11 = be[ 0 ], b12 = be[ 3 ], b13 = be[ 6 ]; | |
var b21 = be[ 1 ], b22 = be[ 4 ], b23 = be[ 7 ]; | |
var b31 = be[ 2 ], b32 = be[ 5 ], b33 = be[ 8 ]; | |
te[ 0 ] = a11 * b11 + a12 * b21 + a13 * b31; | |
te[ 3 ] = a11 * b12 + a12 * b22 + a13 * b32; | |
te[ 6 ] = a11 * b13 + a12 * b23 + a13 * b33; | |
te[ 1 ] = a21 * b11 + a22 * b21 + a23 * b31; | |
te[ 4 ] = a21 * b12 + a22 * b22 + a23 * b32; | |
te[ 7 ] = a21 * b13 + a22 * b23 + a23 * b33; | |
te[ 2 ] = a31 * b11 + a32 * b21 + a33 * b31; | |
te[ 5 ] = a31 * b12 + a32 * b22 + a33 * b32; | |
te[ 8 ] = a31 * b13 + a32 * b23 + a33 * b33; | |
return this; | |
}, | |
multiplyScalar: function ( s ) { | |
var te = this.elements; | |
te[ 0 ] *= s; te[ 3 ] *= s; te[ 6 ] *= s; | |
te[ 1 ] *= s; te[ 4 ] *= s; te[ 7 ] *= s; | |
te[ 2 ] *= s; te[ 5 ] *= s; te[ 8 ] *= s; | |
return this; | |
}, | |
determinant: function () { | |
var te = this.elements; | |
var a = te[ 0 ], b = te[ 1 ], c = te[ 2 ], | |
d = te[ 3 ], e = te[ 4 ], f = te[ 5 ], | |
g = te[ 6 ], h = te[ 7 ], i = te[ 8 ]; | |
return a * e * i - a * f * h - b * d * i + b * f * g + c * d * h - c * e * g; | |
}, | |
getInverse: function ( matrix, throwOnDegenerate ) { | |
if ( matrix && matrix.isMatrix4 ) { | |
console.error( "THREE.Matrix3: .getInverse() no longer takes a Matrix4 argument." ); | |
} | |
var me = matrix.elements, | |
te = this.elements, | |
n11 = me[ 0 ], n21 = me[ 1 ], n31 = me[ 2 ], | |
n12 = me[ 3 ], n22 = me[ 4 ], n32 = me[ 5 ], | |
n13 = me[ 6 ], n23 = me[ 7 ], n33 = me[ 8 ], | |
t11 = n33 * n22 - n32 * n23, | |
t12 = n32 * n13 - n33 * n12, | |
t13 = n23 * n12 - n22 * n13, | |
det = n11 * t11 + n21 * t12 + n31 * t13; | |
if ( det === 0 ) { | |
var msg = "THREE.Matrix3: .getInverse() can't invert matrix, determinant is 0"; | |
if ( throwOnDegenerate === true ) { | |
throw new Error( msg ); | |
} else { | |
console.warn( msg ); | |
} | |
return this.identity(); | |
} | |
var detInv = 1 / det; | |
te[ 0 ] = t11 * detInv; | |
te[ 1 ] = ( n31 * n23 - n33 * n21 ) * detInv; | |
te[ 2 ] = ( n32 * n21 - n31 * n22 ) * detInv; | |
te[ 3 ] = t12 * detInv; | |
te[ 4 ] = ( n33 * n11 - n31 * n13 ) * detInv; | |
te[ 5 ] = ( n31 * n12 - n32 * n11 ) * detInv; | |
te[ 6 ] = t13 * detInv; | |
te[ 7 ] = ( n21 * n13 - n23 * n11 ) * detInv; | |
te[ 8 ] = ( n22 * n11 - n21 * n12 ) * detInv; | |
return this; | |
}, | |
transpose: function () { | |
var tmp, m = this.elements; | |
tmp = m[ 1 ]; m[ 1 ] = m[ 3 ]; m[ 3 ] = tmp; | |
tmp = m[ 2 ]; m[ 2 ] = m[ 6 ]; m[ 6 ] = tmp; | |
tmp = m[ 5 ]; m[ 5 ] = m[ 7 ]; m[ 7 ] = tmp; | |
return this; | |
}, | |
getNormalMatrix: function ( matrix4 ) { | |
return this.setFromMatrix4( matrix4 ).getInverse( this ).transpose(); | |
}, | |
transposeIntoArray: function ( r ) { | |
var m = this.elements; | |
r[ 0 ] = m[ 0 ]; | |
r[ 1 ] = m[ 3 ]; | |
r[ 2 ] = m[ 6 ]; | |
r[ 3 ] = m[ 1 ]; | |
r[ 4 ] = m[ 4 ]; | |
r[ 5 ] = m[ 7 ]; | |
r[ 6 ] = m[ 2 ]; | |
r[ 7 ] = m[ 5 ]; | |
r[ 8 ] = m[ 8 ]; | |
return this; | |
}, | |
setUvTransform: function ( tx, ty, sx, sy, rotation, cx, cy ) { | |
var c = Math.cos( rotation ); | |
var s = Math.sin( rotation ); | |
this.set( | |
sx * c, sx * s, - sx * ( c * cx + s * cy ) + cx + tx, | |
- sy * s, sy * c, - sy * ( - s * cx + c * cy ) + cy + ty, | |
0, 0, 1 | |
); | |
}, | |
scale: function ( sx, sy ) { | |
var te = this.elements; | |
te[ 0 ] *= sx; te[ 3 ] *= sx; te[ 6 ] *= sx; | |
te[ 1 ] *= sy; te[ 4 ] *= sy; te[ 7 ] *= sy; | |
return this; | |
}, | |
rotate: function ( theta ) { | |
var c = Math.cos( theta ); | |
var s = Math.sin( theta ); | |
var te = this.elements; | |
var a11 = te[ 0 ], a12 = te[ 3 ], a13 = te[ 6 ]; | |
var a21 = te[ 1 ], a22 = te[ 4 ], a23 = te[ 7 ]; | |
te[ 0 ] = c * a11 + s * a21; | |
te[ 3 ] = c * a12 + s * a22; | |
te[ 6 ] = c * a13 + s * a23; | |
te[ 1 ] = - s * a11 + c * a21; | |
te[ 4 ] = - s * a12 + c * a22; | |
te[ 7 ] = - s * a13 + c * a23; | |
return this; | |
}, | |
translate: function ( tx, ty ) { | |
var te = this.elements; | |
te[ 0 ] += tx * te[ 2 ]; te[ 3 ] += tx * te[ 5 ]; te[ 6 ] += tx * te[ 8 ]; | |
te[ 1 ] += ty * te[ 2 ]; te[ 4 ] += ty * te[ 5 ]; te[ 7 ] += ty * te[ 8 ]; | |
return this; | |
}, | |
equals: function ( matrix ) { | |
var te = this.elements; | |
var me = matrix.elements; | |
for ( var i = 0; i < 9; i ++ ) { | |
if ( te[ i ] !== me[ i ] ) return false; | |
} | |
return true; | |
}, | |
fromArray: function ( array, offset ) { | |
if ( offset === undefined ) offset = 0; | |
for ( var i = 0; i < 9; i ++ ) { | |
this.elements[ i ] = array[ i + offset ]; | |
} | |
return this; | |
}, | |
toArray: function ( array, offset ) { | |
if ( array === undefined ) array = []; | |
if ( offset === undefined ) offset = 0; | |
var te = this.elements; | |
array[ offset ] = te[ 0 ]; | |
array[ offset + 1 ] = te[ 1 ]; | |
array[ offset + 2 ] = te[ 2 ]; | |
array[ offset + 3 ] = te[ 3 ]; | |
array[ offset + 4 ] = te[ 4 ]; | |
array[ offset + 5 ] = te[ 5 ]; | |
array[ offset + 6 ] = te[ 6 ]; | |
array[ offset + 7 ] = te[ 7 ]; | |
array[ offset + 8 ] = te[ 8 ]; | |
return array; | |
} | |
} ); | |
export { Matrix3 }; | |