using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Threading.Tasks; using _Math = System.Math; namespace THREE { /// /// @author alteredq / http://alteredqualia.com/ /// @author WestLangley / http://github.com/WestLangley /// @author bhouston / http://clara.io /// @author tschw /// @author tengge / https://github.com/tengge1 /// public class Matrix3 { public double[] elements; public Matrix3() { this.elements = new double[] { 1, 0, 0, 0, 1, 0, 0, 0, 1 }; } public const bool isMatrix3 = true; public Matrix3 Set(double n11, double n12, double n13, double n21, double n22, double n23, double n31, double n32, double 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; } public Matrix3 Identity() { this.Set( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); return this; } public Matrix3 Clone() { return new Matrix3().FromArray(this.elements); } public Matrix3 Copy(Matrix3 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; } public Matrix3 SetFromMatrix4(Matrix4 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; } public Matrix3 Multiply(Matrix3 m) { return this.MultiplyMatrices(this, m); } public Matrix3 Premultiply(Matrix3 m) { return this.MultiplyMatrices(m, this); } public Matrix3 MultiplyMatrices(Matrix3 a, Matrix3 b) { var ae = a.elements; var be = b.elements; var te = this.elements; double a11 = ae[0], a12 = ae[3], a13 = ae[6]; double a21 = ae[1], a22 = ae[4], a23 = ae[7]; double a31 = ae[2], a32 = ae[5], a33 = ae[8]; double b11 = be[0], b12 = be[3], b13 = be[6]; double b21 = be[1], b22 = be[4], b23 = be[7]; double 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; } public Matrix3 MultiplyScalar(double 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; } public double Determinant() { var te = this.elements; double 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; } public Matrix3 GetInverse(Matrix3 matrix, bool throwOnDegenerate = false) { double[] me = matrix.elements, te = this.elements; double 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 Exception(msg); } else { Console.WriteLine(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; } public Matrix3 Transpose() { double tmp; double[] 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; } public Matrix3 GetNormalMatrix(Matrix4 matrix4) { return this.SetFromMatrix4(matrix4).GetInverse(this).Transpose(); } public Matrix3 TransposeIntoArray(double[] 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; } public void SetUvTransform(double tx, double ty, double sx, double sy, double rotation, double cx, double 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 ); } public Matrix3 Scale(double sx, double 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; } public Matrix3 Rotate(double theta) { var c = _Math.Cos(theta); var s = _Math.Sin(theta); var te = this.elements; double a11 = te[0], a12 = te[3], a13 = te[6]; double 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; } public Matrix3 Translate(double tx, double 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; } public bool Equals(Matrix3 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; } public Matrix3 FromArray(double[] array, int offset = 0) { for (var i = 0; i < 9; i++) { this.elements[i] = array[i + offset]; } return this; } public double[] ToArray(double[] array = null, int offset = 0) { if (array == null) array = new double[9]; 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; } } }