Update 20260123
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Stefan Hutter
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DataMatrix.net/DmtxMatrix3.cs
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249
DataMatrix.net/DmtxMatrix3.cs
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/*
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DataMatrix.Net
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DataMatrix.Net - .net library for decoding DataMatrix codes.
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Copyright (C) 2009/2010 Michael Faschinger
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This library is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public
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License as published by the Free Software Foundation; either
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version 3.0 of the License, or (at your option) any later version.
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You can also redistribute and/or modify it under the terms of the
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GNU Lesser General Public License as published by the Free Software
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Foundation; either version 3.0 of the License or (at your option)
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any later version.
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This library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License or the GNU Lesser General Public License
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for more details.
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You should have received a copy of the GNU General Public
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License and the GNU Lesser General Public License along with this
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library; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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Contact: Michael Faschinger - michfasch@gmx.at
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*/
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using System;
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namespace DataMatrix.net
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{
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internal class DmtxMatrix3
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{
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#region Fields
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double[,] _data;
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#endregion
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#region Constructors
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DmtxMatrix3()
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{
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}
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/// <summary>
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/// copy constructor
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/// </summary>
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/// <param name="src">the matrix to copy</param>
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internal DmtxMatrix3(DmtxMatrix3 src)
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{
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_data = new[,] { { src[0, 0], src[0, 1], src[0, 2] }, { src[1, 0], src[1, 1], src[1, 2] }, { src[2, 0], src[2, 1], src[2, 2] } };
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}
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#endregion
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#region internal Static Methods
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/// <summary>
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/// creates a 3x3 identitiy matrix:<para />
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/// 1 0 0<para />
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/// 0 1 0<para />
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/// 0 0 1
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/// </summary>
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internal static DmtxMatrix3 Identity()
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{
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return Translate(0, 0);
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}
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/// <summary>
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/// generates a 3x3 translate transformation matrix
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/// 1 0 0<para />
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/// 0 1 0<para />
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/// tx ty 1
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/// </summary>
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/// <param name="tx"></param>
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/// <param name="ty"></param>
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internal static DmtxMatrix3 Translate(double tx, double ty)
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{
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DmtxMatrix3 result = new DmtxMatrix3 {_data = new[,] {{1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}, {tx, ty, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 rotate transformation matrix
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/// cos(angle) sin(angle) 0<para />
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/// -sin(angle) cos(angle) 0<para />
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/// 0 0 1
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/// </summary>
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/// <param name="angle"></param>
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internal static DmtxMatrix3 Rotate(double angle)
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{
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DmtxMatrix3 result = new DmtxMatrix3 { _data = new[,] {
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{Math.Cos(angle), Math.Sin(angle), 0.0},
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{-Math.Sin(angle), Math.Cos(angle), 0.0}, {0, 0, 1.0} }};
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return result;
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}
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/// <summary>
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/// generates a 3x3 scale transformation matrix
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/// sx 0 0<para />
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/// 0 sy 0<para />
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/// 0 0 1
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/// </summary>
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/// <param name="sx"></param>
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/// <param name="sy"></param>
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/// <returns></returns>
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internal static DmtxMatrix3 Scale(double sx, double sy)
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{
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DmtxMatrix3 result = new DmtxMatrix3 {_data = new[,] {{sx, 0.0, 0.0}, {0.0, sy, 0.0}, {0, 0, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 shear transformation matrix
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/// 0 shx 0<para />
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/// shy 0 0<para />
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/// 0 0 1
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/// </summary>
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/// <returns></returns>
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internal static DmtxMatrix3 Shear(double shx, double shy)
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{
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DmtxMatrix3 result = new DmtxMatrix3 {_data = new[,] {{1.0, shy, 0.0}, {shx, 1.0, 0.0}, {0, 0, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 top line skew transformation matrix
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/// b1/b0 0 (b1-b0)/(sz * b0)<para />
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/// 0 sz/b0 0<para />
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/// 0 0 1
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/// </summary>
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/// <returns></returns>
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internal static DmtxMatrix3 LineSkewTop(double b0, double b1, double sz)
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{
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if (b0 < DmtxConstants.DmtxAlmostZero)
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{
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throw new ArgumentException("b0 must be larger than zero in top line skew transformation");
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}
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DmtxMatrix3 result = new DmtxMatrix3
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{_data = new[,] {{b1/b0, 0.0, (b1 - b0)/(sz*b0)}, {0.0, sz/b0, 0.0}, {0, 0, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 top line skew transformation matrix (inverse)
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/// b0/b1 0 (b0-b1)/(sz * b1)<para />
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/// 0 b0/sz 0<para />
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/// 0 0 1
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/// </summary>
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/// <returns></returns>
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internal static DmtxMatrix3 LineSkewTopInv(double b0, double b1, double sz)
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{
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if (b1 < DmtxConstants.DmtxAlmostZero)
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{
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throw new ArgumentException("b1 must be larger than zero in top line skew transformation (inverse)");
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}
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DmtxMatrix3 result = new DmtxMatrix3
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{_data = new[,] {{b0/b1, 0.0, (b0 - b1)/(sz*b1)}, {0.0, b0/sz, 0.0}, {0, 0, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 side line skew transformation matrix (inverse)
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/// sz/b0 0 0<para />
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/// 0 b1/b0 (b1-b0)/(sz*b0)<para />
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/// 0 0 1
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/// </summary>
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/// <returns></returns>
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internal static DmtxMatrix3 LineSkewSide(double b0, double b1, double sz)
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{
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if (b0 < DmtxConstants.DmtxAlmostZero)
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{
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throw new ArgumentException("b0 must be larger than zero in side line skew transformation (inverse)");
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}
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DmtxMatrix3 result = new DmtxMatrix3
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{_data = new[,] {{sz/b0, 0.0, 0.0}, {0.0, b1/b0, (b1 - b0)/(sz*b0)}, {0, 0, 1.0}}};
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return result;
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}
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/// <summary>
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/// generates a 3x3 side line skew transformation matrix (inverse)
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/// b0/sz 0 0<para />
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/// 0 b0/b1 (b0 - b1) / (sz * b1)<para />
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/// 0 0 1
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/// </summary>
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/// <returns></returns>
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internal static DmtxMatrix3 LineSkewSideInv(double b0, double b1, double sz)
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{
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if (b1 < DmtxConstants.DmtxAlmostZero)
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{
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throw new ArgumentException("b1 must be larger than zero in top line skew transformation (inverse)");
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}
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DmtxMatrix3 result = new DmtxMatrix3
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{_data = new[,] {{b0/sz, 0.0, 0.0}, {0.0, b0/b1, (b0 - b1)/(sz*b1)}, {0, 0, 1.0}}};
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return result;
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}
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public static DmtxMatrix3 operator *(DmtxMatrix3 m1, DmtxMatrix3 m2)
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{
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DmtxMatrix3 result = new DmtxMatrix3 {_data = new[,] {{0.0, 0, 0}, {0, 0, 0}, {0, 0, 0}}};
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for (int i = 0; i < 3; i++)
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{
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for (int j = 0; j < 3; j++)
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{
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for (int k = 0; k < 3; k++)
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{
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result[i, j] += m1[i, k] * m2[k, j];
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}
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}
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}
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return result;
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}
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public static DmtxVector2 operator *(DmtxVector2 vector, DmtxMatrix3 matrix)
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{
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double w = Math.Abs(vector.X * matrix[0, 2] + vector.Y * matrix[1, 2] + matrix[2, 2]);
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if (w <= DmtxConstants.DmtxAlmostZero)
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{
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throw new ArgumentException("Multiplication of vector and matrix resulted in invalid result");
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}
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DmtxVector2 result = new DmtxVector2((vector.X*matrix[0,0] + vector.Y * matrix[1,0] + matrix[2,0])/w,
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(vector.X * matrix[0,1] + vector.Y * matrix[1,1] + matrix[2,1])/w);
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return result;
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}
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#endregion
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#region Methods
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public override string ToString()
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{
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return string.Format("{0}\t{1}\t{2}\n{3}\t{4}\t{5}\n{6}\t{7}\t{8}\n", _data[0, 0], _data[0, 1], _data[0, 2], _data[1, 0], _data[1, 1], _data[1, 2], _data[2, 0], _data[2, 1], _data[2, 2]);
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}
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#endregion
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#region Properties
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internal double this[int i, int j]
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{
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get
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{
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return _data[i, j];
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}
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set
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{
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_data[i, j] = value;
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}
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}
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#endregion
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}
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}
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