/*Title: mjbWorld
Copyright (c) 1998-2007 Martin John BakerThis program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.For information about the GNU General Public License see http://www.gnu.org/To discuss this program http://sourceforge.net/forum/forum.php?forum_id=122133 also see website https://www.euclideanspace.com/ */namespace mjbModel { using System; using System.ComponentModel; using System.IO; using System.Collections; using System.Reflection; using System.Text; using System.Data; using System.Data.SqlClient; using System.Xml; /// <summary> /// a class to represent a 3d multivector (clifford / geometric algebra) as described here: /// https://www.euclideanspace.com/maths/algebra/clifford/index.htm /// </summary> class sfmulti3d : property {/// <summary> /// scalar /// </summary> public double e; /// <summary> /// vector ex = e1,ey = e2 ,ez = e3 /// </summary> public double ex,ey,ez; /// <summary> /// bivector exy = e1 ^ e2 ,ezx = e3 ^ e1 ,eyz = e2 ^ e3 /// </summary> public double exy,ezx,eyz; /// <summary> /// trivector exyz = e1 ^ e2 ^ e3 /// </summary> public double exyz;/// <summary> /// null constructor /// creates class with all zero elements /// </summary> public sfmulti3d() { }/// <summary> /// copy constructor /// creates class with elements set to same value as other class /// </summary> /// <param name="other">other class to copy</param> public sfmulti3d(sfmulti3d other) { // copy constructor e = other.e; ex = other.ex; ey = other.ey; ez = other.ez; exy = other.exy; ezx = other.ezx; eyz = other.eyz; exyz = other.exyz; }/// <summary> /// generates an array /// </summary> /// <returns>array containing equivelant matrix</returns> public double[] toMatrix(){ // under construction double[] matrix = new double[16]; try { matrix[0] = 0; matrix[1] = 0; matrix[2] = 0; matrix[3] = 0; matrix[4] = 0; matrix[5] = 0; matrix[6] = 0; matrix[7] = 0; matrix[8] = 0; matrix[9] = 0; matrix[10] = 0; matrix[11] = 0; matrix[12] = 0; matrix[13] = 0; matrix[14] = 0; matrix[15] = 0; } catch (Exception e1) { Console.WriteLine("sfmulti3d.instring {0}",e1); } return matrix; }/// <summary> /// returns a string containing the name of this type /// cant use static method below when we need to override property.vrmlType() method /// </summary> /// <returns>name of this type "sfmulti3d"</returns> public override String vrmlType(){ return "sfmulti3d"; }/// <summary> /// a static method to get a string containing the name of this type /// </summary> /// <returns>name of this type "sfmulti3d"</returns> public static String vrmlType_s(){ return "sfmulti3d"; }/// <summary> /// override clone method /// </summary> /// <returns>clone of this class</returns> public override property clone() { return new sfmulti3d(this); }/// <summary> /// add other multivector to this one /// other is not altered /// for theory see: /// https://www.euclideanspace.com/maths/algebra/clifford/arithmetic/index.htm /// </summary> /// <param name="other">the multivector to be added to this, other is not altered</param> public void add(sfmulti3d other) { e += other.e; ex += other.ex; ey += other.ey; ez += other.ez; exy += other.exy; ezx += other.ezx; eyz += other.eyz; exyz += other.exyz; }/// <summary> /// subtract other multivector from this one /// other is not altered /// for theory see: /// https://www.euclideanspace.com/maths/algebra/clifford/arithmetic/index.htm /// </summary> /// <param name="other">the multivector to be subtracted from this, other is not altered</param> public void sub(sfmulti3d other) { e -= other.e; ex -= other.ex; ey -= other.ey; ez -= other.ez; exy -= other.exy; ezx -= other.ezx; eyz -= other.eyz; exyz -= other.exyz; }/// <summary> /// multiply another multivector with this one /// other is not altered /// for theory see: /// https://www.euclideanspace.com/maths/algebra/clifford/arithmetic/index.htm /// </summary> /// <param name="other">the multivector to be multiplied by this, other is not altered</param> public void mult(sfmulti3d other) { sfmulti3d tmp = new sfmulti3d(this); mult(tmp,other); }/// <summary> /// set this multivector to a * b /// a and b are not altered /// for theory see: /// https://www.euclideanspace.com/maths/algebra/clifford/arithmetic/index.htm /// </summary> /// <param name="a">the first multivector to be multiplied, it is not altered</param> /// <param name="b">the second multivector to be multiplied, it is not altered</param> public void mult(sfmulti3d a,sfmulti3d b) { e = a.e * b.e + a.ex * b.ex + a.ey * b.ey + a.ez * b.ez - a.exy * b.exy - a.ezx * b.ezx - a.eyz * b.eyz - a.exyz * b.exyz; ex = a.ex * b.e + a.e * b.ex - a.exy * b.ey + a.ezx * b.ez + a.ey * b.exy - a.ez * b.ezx - a.exyz * b.eyz - a.eyz * b.exyz; ey = a.ey * b.e + a.exy * b.ex + a.e * b.ey - a.eyz * b.ez - a.ex * b.exy - a.exyz * b.ezx + a.ez * b.eyz - a.ezx * b.exyz; ez = a.ez * b.e - a.ezx * b.ex + a.eyz * b.ey + a.e * b.ez - a.exyz * b.exy + a.ex * b.ezx - a.ey * b.eyz - a.exy * b.exyz; exy = a.exy * b.e + a.ey * b.ex - a.ex * b.ey + a.exyz * b.ez + a.e * b.exy + a.eyz * b.ezx - a.ezx * b.eyz + a.ez * b.exyz; ezx = a.ezx * b.e - a.ez * b.ex + a.exyz * b.ey + a.ex * b.ez - a.eyz * b.exy + a.e * b.ezx + a.exy * b.eyz + a.ey * b.exyz; eyz = a.eyz * b.e + a.exyz * b.ex + a.ez * b.ey - a.ey * b.ez + a.ezx * b.exy - a.exy * b.ezx + a.e * b.eyz + a.ex * b.exyz; exyz =a.exyz * b.e + a.eyz * b.ex + a.ezx * b.ey + a.exy * b.ez + a.ez * b.exy + a.ey * b.ezx + a.ex * b.eyz + a.e * b.exyz; }/// <summary> /// calculate the multiplative inverse (1/a) /// under construction /// </summary> public void invert() { // under construction }/// <summary> /// transform a vector /// </summary> /// <param name="v">a vector which is transformed by this multivector</param> public void transform(sfvec3f v){ // under construction }/// <summary> /// used for generation of source code /// </summary> /// <param name="f">filter holds read and write utilities</param> /// <param name="mode">0=procedure defn 1=procedure call</param> /// <param name="maxInstances">how many instances of this class</param> public void writeJava(filter f,int mode,int maxInstances){ try { // String name = generateUniqueName(); if (mode != 0) return; // no procedure defn required f.status(GetType().Name); f.writeln("// code for "+GetType().Name,0); f.writeln("double []d = {",2); f.writeln(""+e+",",2); f.writeln(""+ex+","+ey+","+ez+",",2); f.writeln(""+exy+","+ezx+","+eyz+",",2); f.writeln(""+exyz,2); f.writeln("};",2); } catch (Exception e1) { Console.WriteLine("sfmulti3d.writeJava {0}",e1); } return; }/// <summary> /// output as a string /// </summary> /// <param name="mode">mode mode values /// 0 - output modified values /// 1 - output original values /// 2 - output attribute /// 3 - output attribute in brackets /// 4 - output with f prefix</param> /// <returns>string representing this class</returns> public override String outstring(int mode) { return "\n"+e+"\n"+ ex+","+ey+","+ez+","+"\n"+ exy+","+ezx+","+eyz+","+"\n"+ exyz; }/// <summary> /// write to file /// </summary> /// <param name="f">filter = information about output</param> /// <param name="mode">mode values /// 0 - output VRML97 modified values /// 1 - output VRML97 original values /// 2 - output xml (x3d) /// 3 - output attribute in brackets /// 4 - output with f prefix</param> /// <param name="indent">indent indent applied to new lines</param> public override void write(filter f,int mode,int indent){ f.write(outstring(mode)); }/// <summary> /// used by mfparam.vrml2par /// </summary> /// <param name="f"></param> /// <param name="sfp"></param> /// <param name="n"></param> /// <param name="mode"></param> /// <returns></returns> public override bool instring(filter f,sfparam sfp,nodeBean n,int mode) { return false; }/// <summary> /// get a class that can edit this /// </summary> /// <returns></returns> public static Type getEditClass(){ //return typeof(sfmulti3dEditor); return null; }} } //namespace mjbModel
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