src/integrators/DLM.cpp

/*
 * Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
 *
 * The University of Notre Dame grants you ("Licensee") a
 * non-exclusive, royalty free, license to use, modify and
 * redistribute this software in source and binary code form, provided
 * that the following conditions are met:
 *
 * 1. Acknowledgement of the program authors must be made in any
 *    publication of scientific results based in part on use of the
 *    program.  An acceptable form of acknowledgement is citation of
 *    the article in which the program was described (Matthew
 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher
 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented
 *    Parallel Simulation Engine for Molecular Dynamics,"
 *    J. Comput. Chem. 26, pp. 252-271 (2005))
 *
 * 2. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 3. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the
 *    distribution.
 *
 * This software is provided "AS IS," without a warranty of any
 * kind. All express or implied conditions, representations and
 * warranties, including any implied warranty of merchantability,
 * fitness for a particular purpose or non-infringement, are hereby
 * excluded.  The University of Notre Dame and its licensors shall not
 * be liable for any damages suffered by licensee as a result of
 * using, modifying or distributing the software or its
 * derivatives. In no event will the University of Notre Dame or its
 * licensors be liable for any lost revenue, profit or data, or for
 * direct, indirect, special, consequential, incidental or punitive
 * damages, however caused and regardless of the theory of liability,
 * arising out of the use of or inability to use software, even if the
 * University of Notre Dame has been advised of the possibility of
 * such damages.
 */
 
#include "DLM.hpp"

namespace oopse {

  void DLM::doRotate(StuntDouble* sd, Vector3d& ji, double dt) {
    double dt2 = 0.5 * dt;    
    double angle;

    RotMat3x3d A = sd->getA();
    Mat3x3d I = sd->getI();

    // use the angular velocities to propagate the rotation matrix a full time step
    if (sd->isLinear()) {

      int i = sd->linearAxis();
      int j = (i+1)%3;
      int k = (i+2)%3;

      angle = dt2 * ji[j] / I(j, j);
      rotateStep( k, i, angle, ji, A );

      angle = dt * ji[k] / I(k, k);
      rotateStep( i, j, angle, ji, A);

      angle = dt2 * ji[j] / I(j, j);
      rotateStep( k, i, angle, ji, A );

    } else {
      // rotate about the x-axis
      angle = dt2 * ji[0] / I(0, 0);
      rotateStep( 1, 2, angle, ji, A );

      // rotate about the y-axis
      angle = dt2 * ji[1] / I(1, 1);
      rotateStep( 2, 0, angle, ji, A );

      // rotate about the z-axis
      angle = dt * ji[2] / I(2, 2);
      sd->addZangle(angle);
      rotateStep( 0, 1, angle, ji, A);

      // rotate about the y-axis
      angle = dt2 * ji[1] / I(1, 1);
      rotateStep( 2, 0, angle, ji, A );

      // rotate about the x-axis
      angle = dt2 * ji[0] / I(0, 0);
      rotateStep( 1, 2, angle, ji, A );

    }

    sd->setA( A  );
  }


  void DLM::rotateStep(int axes1, int axes2, double angle, Vector3d& ji, RotMat3x3d& A) {

    double sinAngle;
    double cosAngle;
    double angleSqr;
    double angleSqrOver4;
    double top, bottom;

    RotMat3x3d tempA(A);  // initialize the tempA
    Vector3d tempJ(0.0);

    RotMat3x3d rot = RotMat3x3d::identity(); // initalize rot as a unit matrix

    // use a small angle aproximation for sin and cosine

    //angleSqr = angle * angle;
    //angleSqrOver4 = angleSqr / 4.0;
    //top = 1.0 - angleSqrOver4;
    //bottom = 1.0 + angleSqrOver4;

    //cosAngle = top / bottom;
    //sinAngle = angle / bottom;
    cosAngle = cos(angle);
    sinAngle = sin(angle);
    rot(axes1, axes1) = cosAngle;
    rot(axes2, axes2) = cosAngle;

    rot(axes1, axes2) = sinAngle;
    rot(axes2, axes1) = -sinAngle;

    // rotate the momentum acoording to: ji[] = rot[][] * ji[]
    ji = rot * ji;

    // rotate the Rotation matrix acording to:
    // A[][] = A[][] * transpose(rot[][])
    // transpose(A[][]) = transpose(A[][]) * transpose(rot[][])

    A = rot * A; //? A = A* rot.transpose();
  
  }


}
Revision:	507
Committed:	Fri Apr 15 22:04:00 2005 UTC (20 years, 6 months ago) by gezelter
File size:	4448 byte(s)
Log Message:	xemacs has been drafted to perform our indentation services
#	User	Rev	Content
1	gezelter	507	/*
2	gezelter	246	* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
3			*
4			* The University of Notre Dame grants you ("Licensee") a
5			* non-exclusive, royalty free, license to use, modify and
6			* redistribute this software in source and binary code form, provided
7			* that the following conditions are met:
8			*
9			* 1. Acknowledgement of the program authors must be made in any
10			* publication of scientific results based in part on use of the
11			* program. An acceptable form of acknowledgement is citation of
12			* the article in which the program was described (Matthew
13			* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher
14			* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented
15			* Parallel Simulation Engine for Molecular Dynamics,"
16			* J. Comput. Chem. 26, pp. 252-271 (2005))
17			*
18			* 2. Redistributions of source code must retain the above copyright
19			* notice, this list of conditions and the following disclaimer.
20			*
21			* 3. Redistributions in binary form must reproduce the above copyright
22			* notice, this list of conditions and the following disclaimer in the
23			* documentation and/or other materials provided with the
24			* distribution.
25			*
26			* This software is provided "AS IS," without a warranty of any
27			* kind. All express or implied conditions, representations and
28			* warranties, including any implied warranty of merchantability,
29			* fitness for a particular purpose or non-infringement, are hereby
30			* excluded. The University of Notre Dame and its licensors shall not
31			* be liable for any damages suffered by licensee as a result of
32			* using, modifying or distributing the software or its
33			* derivatives. In no event will the University of Notre Dame or its
34			* licensors be liable for any lost revenue, profit or data, or for
35			* direct, indirect, special, consequential, incidental or punitive
36			* damages, however caused and regardless of the theory of liability,
37			* arising out of the use of or inability to use software, even if the
38			* University of Notre Dame has been advised of the possibility of
39			* such damages.
40			*/
41
42			#include "DLM.hpp"
43
44			namespace oopse {
45
46	gezelter	507	void DLM::doRotate(StuntDouble* sd, Vector3d& ji, double dt) {
47	gezelter	246	double dt2 = 0.5 * dt;
48			double angle;
49
50			RotMat3x3d A = sd->getA();
51			Mat3x3d I = sd->getI();
52
53			// use the angular velocities to propagate the rotation matrix a full time step
54			if (sd->isLinear()) {
55
56	gezelter	507	int i = sd->linearAxis();
57			int j = (i+1)%3;
58			int k = (i+2)%3;
59	gezelter	246
60	gezelter	507	angle = dt2 * ji[j] / I(j, j);
61			rotateStep( k, i, angle, ji, A );
62	gezelter	246
63	gezelter	507	angle = dt * ji[k] / I(k, k);
64			rotateStep( i, j, angle, ji, A);
65	gezelter	246
66	gezelter	507	angle = dt2 * ji[j] / I(j, j);
67			rotateStep( k, i, angle, ji, A );
68	gezelter	246
69			} else {
70	gezelter	507	// rotate about the x-axis
71			angle = dt2 * ji[0] / I(0, 0);
72			rotateStep( 1, 2, angle, ji, A );
73	gezelter	246
74	gezelter	507	// rotate about the y-axis
75			angle = dt2 * ji[1] / I(1, 1);
76			rotateStep( 2, 0, angle, ji, A );
77	gezelter	246
78	gezelter	507	// rotate about the z-axis
79			angle = dt * ji[2] / I(2, 2);
80			sd->addZangle(angle);
81			rotateStep( 0, 1, angle, ji, A);
82	gezelter	246
83	gezelter	507	// rotate about the y-axis
84			angle = dt2 * ji[1] / I(1, 1);
85			rotateStep( 2, 0, angle, ji, A );
86	gezelter	246
87	gezelter	507	// rotate about the x-axis
88			angle = dt2 * ji[0] / I(0, 0);
89			rotateStep( 1, 2, angle, ji, A );
90	gezelter	246
91			}
92
93			sd->setA( A );
94	gezelter	507	}
95	gezelter	246
96
97	gezelter	507	void DLM::rotateStep(int axes1, int axes2, double angle, Vector3d& ji, RotMat3x3d& A) {
98	gezelter	246
99			double sinAngle;
100			double cosAngle;
101			double angleSqr;
102			double angleSqrOver4;
103			double top, bottom;
104
105			RotMat3x3d tempA(A); // initialize the tempA
106			Vector3d tempJ(0.0);
107
108			RotMat3x3d rot = RotMat3x3d::identity(); // initalize rot as a unit matrix
109
110			// use a small angle aproximation for sin and cosine
111
112	tim	273	//angleSqr = angle * angle;
113			//angleSqrOver4 = angleSqr / 4.0;
114			//top = 1.0 - angleSqrOver4;
115			//bottom = 1.0 + angleSqrOver4;
116	gezelter	246
117	tim	273	//cosAngle = top / bottom;
118			//sinAngle = angle / bottom;
119			cosAngle = cos(angle);
120			sinAngle = sin(angle);
121	gezelter	246	rot(axes1, axes1) = cosAngle;
122			rot(axes2, axes2) = cosAngle;
123
124			rot(axes1, axes2) = sinAngle;
125			rot(axes2, axes1) = -sinAngle;
126
127			// rotate the momentum acoording to: ji[] = rot[][] * ji[]
128			ji = rot * ji;
129
130			// rotate the Rotation matrix acording to:
131			// A[][] = A[][] * transpose(rot[][])
132			// transpose(A[][]) = transpose(A[][]) * transpose(rot[][])
133
134			A = rot * A; //? A = A* rot.transpose();
135
136	gezelter	507	}
137	gezelter	246
138
139			}