forked from bartvdbraak/blender
1053 lines
22 KiB
C++
1053 lines
22 KiB
C++
/*
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* ***** BEGIN GPL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program 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
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
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* All rights reserved.
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*
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* The Original Code is: all of this file.
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*
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* Original Author: Laurence
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* Contributor(s): Brecht
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*
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* ***** END GPL LICENSE BLOCK *****
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*/
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/** \file iksolver/intern/IK_QSegment.cpp
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* \ingroup iksolver
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*/
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#include "IK_QSegment.h"
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#include <cmath>
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// Utility functions
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static MT_Matrix3x3 RotationMatrix(MT_Scalar sine, MT_Scalar cosine, int axis)
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{
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if (axis == 0)
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return MT_Matrix3x3(1.0, 0.0, 0.0,
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0.0, cosine, -sine,
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0.0, sine, cosine);
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else if (axis == 1)
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return MT_Matrix3x3(cosine, 0.0, sine,
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0.0, 1.0, 0.0,
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-sine, 0.0, cosine);
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else
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return MT_Matrix3x3(cosine, -sine, 0.0,
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sine, cosine, 0.0,
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0.0, 0.0, 1.0);
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}
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static MT_Matrix3x3 RotationMatrix(MT_Scalar angle, int axis)
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{
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return RotationMatrix(sin(angle), cos(angle), axis);
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}
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static MT_Scalar EulerAngleFromMatrix(const MT_Matrix3x3& R, int axis)
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{
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MT_Scalar t = sqrt(R[0][0] * R[0][0] + R[0][1] * R[0][1]);
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if (t > 16.0 * MT_EPSILON) {
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if (axis == 0) return -atan2(R[1][2], R[2][2]);
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else if (axis == 1) return atan2(-R[0][2], t);
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else return -atan2(R[0][1], R[0][0]);
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}
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else {
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if (axis == 0) return -atan2(-R[2][1], R[1][1]);
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else if (axis == 1) return atan2(-R[0][2], t);
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else return 0.0f;
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}
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}
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static MT_Scalar safe_acos(MT_Scalar f)
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{
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if (f <= -1.0)
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return MT_PI;
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else if (f >= 1.0)
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return 0.0;
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else
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return acos(f);
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}
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static MT_Scalar ComputeTwist(const MT_Matrix3x3& R)
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{
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// qy and qw are the y and w components of the quaternion from R
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MT_Scalar qy = R[0][2] - R[2][0];
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MT_Scalar qw = R[0][0] + R[1][1] + R[2][2] + 1;
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MT_Scalar tau = 2.0 * atan2(qy, qw);
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return tau;
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}
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static MT_Matrix3x3 ComputeTwistMatrix(MT_Scalar tau)
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{
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return RotationMatrix(tau, 1);
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}
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static void RemoveTwist(MT_Matrix3x3& R)
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{
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// compute twist parameter
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MT_Scalar tau = ComputeTwist(R);
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// compute twist matrix
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MT_Matrix3x3 T = ComputeTwistMatrix(tau);
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// remove twist
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R = R * T.transposed();
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}
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static MT_Vector3 SphericalRangeParameters(const MT_Matrix3x3& R)
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{
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// compute twist parameter
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MT_Scalar tau = ComputeTwist(R);
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// compute swing parameters
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MT_Scalar num = 2.0 * (1.0 + R[1][1]);
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// singularity at pi
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if (MT_abs(num) < MT_EPSILON)
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// TODO: this does now rotation of size pi over z axis, but could
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// be any axis, how to deal with this i'm not sure, maybe don't
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// enforce limits at all then
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return MT_Vector3(0.0, tau, 1.0);
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num = 1.0 / sqrt(num);
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MT_Scalar ax = -R[2][1] * num;
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MT_Scalar az = R[0][1] * num;
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return MT_Vector3(ax, tau, az);
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}
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static MT_Matrix3x3 ComputeSwingMatrix(MT_Scalar ax, MT_Scalar az)
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{
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// length of (ax, 0, az) = sin(theta/2)
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MT_Scalar sine2 = ax * ax + az * az;
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MT_Scalar cosine2 = sqrt((sine2 >= 1.0) ? 0.0 : 1.0 - sine2);
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// compute swing matrix
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MT_Matrix3x3 S(MT_Quaternion(ax, 0.0, az, -cosine2));
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return S;
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}
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static MT_Vector3 MatrixToAxisAngle(const MT_Matrix3x3& R)
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{
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MT_Vector3 delta = MT_Vector3(R[2][1] - R[1][2],
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R[0][2] - R[2][0],
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R[1][0] - R[0][1]);
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MT_Scalar c = safe_acos((R[0][0] + R[1][1] + R[2][2] - 1) / 2);
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MT_Scalar l = delta.length();
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if (!MT_fuzzyZero(l))
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delta *= c / l;
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return delta;
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}
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static bool EllipseClamp(MT_Scalar& ax, MT_Scalar& az, MT_Scalar *amin, MT_Scalar *amax)
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{
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MT_Scalar xlim, zlim, x, z;
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if (ax < 0.0) {
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x = -ax;
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xlim = -amin[0];
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}
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else {
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x = ax;
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xlim = amax[0];
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}
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if (az < 0.0) {
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z = -az;
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zlim = -amin[1];
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}
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else {
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z = az;
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zlim = amax[1];
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}
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if (MT_fuzzyZero(xlim) || MT_fuzzyZero(zlim)) {
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if (x <= xlim && z <= zlim)
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return false;
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if (x > xlim)
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x = xlim;
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if (z > zlim)
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z = zlim;
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}
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else {
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MT_Scalar invx = 1.0 / (xlim * xlim);
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MT_Scalar invz = 1.0 / (zlim * zlim);
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if ((x * x * invx + z * z * invz) <= 1.0)
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return false;
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if (MT_fuzzyZero(x)) {
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x = 0.0;
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z = zlim;
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}
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else {
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MT_Scalar rico = z / x;
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MT_Scalar old_x = x;
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x = sqrt(1.0 / (invx + invz * rico * rico));
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if (old_x < 0.0)
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x = -x;
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z = rico * x;
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}
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}
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ax = (ax < 0.0) ? -x : x;
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az = (az < 0.0) ? -z : z;
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return true;
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}
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// IK_QSegment
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IK_QSegment::IK_QSegment(int num_DoF, bool translational)
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: m_parent(NULL), m_child(NULL), m_sibling(NULL), m_composite(NULL),
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m_num_DoF(num_DoF), m_translational(translational)
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{
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m_locked[0] = m_locked[1] = m_locked[2] = false;
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m_weight[0] = m_weight[1] = m_weight[2] = 1.0;
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m_max_extension = 0.0;
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m_start = MT_Vector3(0, 0, 0);
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m_rest_basis.setIdentity();
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m_basis.setIdentity();
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m_translation = MT_Vector3(0, 0, 0);
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m_orig_basis = m_basis;
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m_orig_translation = m_translation;
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}
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void IK_QSegment::Reset()
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{
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m_locked[0] = m_locked[1] = m_locked[2] = false;
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m_basis = m_orig_basis;
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m_translation = m_orig_translation;
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SetBasis(m_basis);
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for (IK_QSegment *seg = m_child; seg; seg = seg->m_sibling)
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seg->Reset();
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}
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void IK_QSegment::SetTransform(
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const MT_Vector3& start,
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const MT_Matrix3x3& rest_basis,
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const MT_Matrix3x3& basis,
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const MT_Scalar length
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)
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{
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m_max_extension = start.length() + length;
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m_start = start;
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m_rest_basis = rest_basis;
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m_orig_basis = basis;
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SetBasis(basis);
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m_translation = MT_Vector3(0, length, 0);
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m_orig_translation = m_translation;
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}
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MT_Matrix3x3 IK_QSegment::BasisChange() const
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{
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return m_orig_basis.transposed() * m_basis;
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}
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MT_Vector3 IK_QSegment::TranslationChange() const
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{
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return m_translation - m_orig_translation;
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}
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IK_QSegment::~IK_QSegment()
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{
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if (m_parent)
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m_parent->RemoveChild(this);
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for (IK_QSegment *seg = m_child; seg; seg = seg->m_sibling)
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seg->m_parent = NULL;
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}
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void IK_QSegment::SetParent(IK_QSegment *parent)
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{
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if (m_parent == parent)
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return;
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if (m_parent)
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m_parent->RemoveChild(this);
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if (parent) {
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m_sibling = parent->m_child;
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parent->m_child = this;
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}
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m_parent = parent;
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}
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void IK_QSegment::SetComposite(IK_QSegment *seg)
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{
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m_composite = seg;
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}
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void IK_QSegment::RemoveChild(IK_QSegment *child)
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{
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if (m_child == NULL)
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return;
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else if (m_child == child)
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m_child = m_child->m_sibling;
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else {
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IK_QSegment *seg = m_child;
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while (seg->m_sibling != child)
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seg = seg->m_sibling;
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if (child == seg->m_sibling)
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seg->m_sibling = child->m_sibling;
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}
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}
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void IK_QSegment::UpdateTransform(const MT_Transform& global)
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{
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// compute the global transform at the end of the segment
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m_global_start = global.getOrigin() + global.getBasis() * m_start;
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m_global_transform.setOrigin(m_global_start);
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m_global_transform.setBasis(global.getBasis() * m_rest_basis * m_basis);
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m_global_transform.translate(m_translation);
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// update child transforms
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for (IK_QSegment *seg = m_child; seg; seg = seg->m_sibling)
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seg->UpdateTransform(m_global_transform);
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}
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void IK_QSegment::PrependBasis(const MT_Matrix3x3& mat)
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{
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m_basis = m_rest_basis.inverse() * mat * m_rest_basis * m_basis;
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}
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void IK_QSegment::Scale(MT_Scalar scale)
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{
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m_start *= scale;
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m_translation *= scale;
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m_orig_translation *= scale;
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m_global_start *= scale;
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m_global_transform.getOrigin() *= scale;
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m_max_extension *= scale;
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}
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// IK_QSphericalSegment
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IK_QSphericalSegment::IK_QSphericalSegment()
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: IK_QSegment(3, false), m_limit_x(false), m_limit_y(false), m_limit_z(false)
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{
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}
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MT_Vector3 IK_QSphericalSegment::Axis(int dof) const
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{
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return m_global_transform.getBasis().getColumn(dof);
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}
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void IK_QSphericalSegment::SetLimit(int axis, MT_Scalar lmin, MT_Scalar lmax)
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{
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if (lmin > lmax)
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return;
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if (axis == 1) {
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lmin = MT_clamp(lmin, -MT_PI, MT_PI);
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lmax = MT_clamp(lmax, -MT_PI, MT_PI);
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m_min_y = lmin;
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m_max_y = lmax;
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m_limit_y = true;
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}
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else {
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// clamp and convert to axis angle parameters
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lmin = MT_clamp(lmin, -MT_PI, MT_PI);
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lmax = MT_clamp(lmax, -MT_PI, MT_PI);
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lmin = sin(lmin * 0.5);
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lmax = sin(lmax * 0.5);
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if (axis == 0) {
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m_min[0] = -lmax;
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m_max[0] = -lmin;
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m_limit_x = true;
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}
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else if (axis == 2) {
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m_min[1] = -lmax;
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m_max[1] = -lmin;
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m_limit_z = true;
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}
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}
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}
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void IK_QSphericalSegment::SetWeight(int axis, MT_Scalar weight)
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{
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m_weight[axis] = weight;
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}
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bool IK_QSphericalSegment::UpdateAngle(const IK_QJacobian &jacobian, MT_Vector3& delta, bool *clamp)
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{
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if (m_locked[0] && m_locked[1] && m_locked[2])
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return false;
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MT_Vector3 dq;
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dq.x() = jacobian.AngleUpdate(m_DoF_id);
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dq.y() = jacobian.AngleUpdate(m_DoF_id + 1);
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dq.z() = jacobian.AngleUpdate(m_DoF_id + 2);
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// Directly update the rotation matrix, with Rodrigues' rotation formula,
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// to avoid singularities and allow smooth integration.
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MT_Scalar theta = dq.length();
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if (!MT_fuzzyZero(theta)) {
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MT_Vector3 w = dq * (1.0 / theta);
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MT_Scalar sine = sin(theta);
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MT_Scalar cosine = cos(theta);
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MT_Scalar cosineInv = 1 - cosine;
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MT_Scalar xsine = w.x() * sine;
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MT_Scalar ysine = w.y() * sine;
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MT_Scalar zsine = w.z() * sine;
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MT_Scalar xxcosine = w.x() * w.x() * cosineInv;
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MT_Scalar xycosine = w.x() * w.y() * cosineInv;
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MT_Scalar xzcosine = w.x() * w.z() * cosineInv;
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MT_Scalar yycosine = w.y() * w.y() * cosineInv;
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MT_Scalar yzcosine = w.y() * w.z() * cosineInv;
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MT_Scalar zzcosine = w.z() * w.z() * cosineInv;
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MT_Matrix3x3 M(
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cosine + xxcosine, -zsine + xycosine, ysine + xzcosine,
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zsine + xycosine, cosine + yycosine, -xsine + yzcosine,
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-ysine + xzcosine, xsine + yzcosine, cosine + zzcosine);
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m_new_basis = m_basis * M;
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}
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else
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m_new_basis = m_basis;
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if (m_limit_y == false && m_limit_x == false && m_limit_z == false)
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return false;
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MT_Vector3 a = SphericalRangeParameters(m_new_basis);
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if (m_locked[0])
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a.x() = m_locked_ax;
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if (m_locked[1])
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a.y() = m_locked_ay;
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if (m_locked[2])
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a.z() = m_locked_az;
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MT_Scalar ax = a.x(), ay = a.y(), az = a.z();
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clamp[0] = clamp[1] = clamp[2] = false;
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if (m_limit_y) {
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if (a.y() > m_max_y) {
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ay = m_max_y;
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clamp[1] = true;
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}
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else if (a.y() < m_min_y) {
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ay = m_min_y;
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clamp[1] = true;
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}
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}
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if (m_limit_x && m_limit_z) {
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if (EllipseClamp(ax, az, m_min, m_max))
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clamp[0] = clamp[2] = true;
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}
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else if (m_limit_x) {
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if (ax < m_min[0]) {
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ax = m_min[0];
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clamp[0] = true;
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}
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else if (ax > m_max[0]) {
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ax = m_max[0];
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clamp[0] = true;
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}
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}
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else if (m_limit_z) {
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if (az < m_min[1]) {
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az = m_min[1];
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clamp[2] = true;
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}
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else if (az > m_max[1]) {
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az = m_max[1];
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clamp[2] = true;
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}
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}
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if (clamp[0] == false && clamp[1] == false && clamp[2] == false) {
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if (m_locked[0] || m_locked[1] || m_locked[2])
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m_new_basis = ComputeSwingMatrix(ax, az) * ComputeTwistMatrix(ay);
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return false;
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}
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m_new_basis = ComputeSwingMatrix(ax, az) * ComputeTwistMatrix(ay);
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delta = MatrixToAxisAngle(m_basis.transposed() * m_new_basis);
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if (!(m_locked[0] || m_locked[2]) && (clamp[0] || clamp[2])) {
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m_locked_ax = ax;
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m_locked_az = az;
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}
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|
|
if (!m_locked[1] && clamp[1])
|
|
m_locked_ay = ay;
|
|
|
|
return true;
|
|
}
|
|
|
|
void IK_QSphericalSegment::Lock(int dof, IK_QJacobian& jacobian, MT_Vector3& delta)
|
|
{
|
|
if (dof == 1) {
|
|
m_locked[1] = true;
|
|
jacobian.Lock(m_DoF_id + 1, delta[1]);
|
|
}
|
|
else {
|
|
m_locked[0] = m_locked[2] = true;
|
|
jacobian.Lock(m_DoF_id, delta[0]);
|
|
jacobian.Lock(m_DoF_id + 2, delta[2]);
|
|
}
|
|
}
|
|
|
|
void IK_QSphericalSegment::UpdateAngleApply()
|
|
{
|
|
m_basis = m_new_basis;
|
|
}
|
|
|
|
// IK_QNullSegment
|
|
|
|
IK_QNullSegment::IK_QNullSegment()
|
|
: IK_QSegment(0, false)
|
|
{
|
|
}
|
|
|
|
// IK_QRevoluteSegment
|
|
|
|
IK_QRevoluteSegment::IK_QRevoluteSegment(int axis)
|
|
: IK_QSegment(1, false), m_axis(axis), m_angle(0.0), m_limit(false)
|
|
{
|
|
}
|
|
|
|
void IK_QRevoluteSegment::SetBasis(const MT_Matrix3x3& basis)
|
|
{
|
|
if (m_axis == 1) {
|
|
m_angle = ComputeTwist(basis);
|
|
m_basis = ComputeTwistMatrix(m_angle);
|
|
}
|
|
else {
|
|
m_angle = EulerAngleFromMatrix(basis, m_axis);
|
|
m_basis = RotationMatrix(m_angle, m_axis);
|
|
}
|
|
}
|
|
|
|
MT_Vector3 IK_QRevoluteSegment::Axis(int) const
|
|
{
|
|
return m_global_transform.getBasis().getColumn(m_axis);
|
|
}
|
|
|
|
bool IK_QRevoluteSegment::UpdateAngle(const IK_QJacobian &jacobian, MT_Vector3& delta, bool *clamp)
|
|
{
|
|
if (m_locked[0])
|
|
return false;
|
|
|
|
m_new_angle = m_angle + jacobian.AngleUpdate(m_DoF_id);
|
|
|
|
clamp[0] = false;
|
|
|
|
if (m_limit == false)
|
|
return false;
|
|
|
|
if (m_new_angle > m_max)
|
|
delta[0] = m_max - m_angle;
|
|
else if (m_new_angle < m_min)
|
|
delta[0] = m_min - m_angle;
|
|
else
|
|
return false;
|
|
|
|
clamp[0] = true;
|
|
m_new_angle = m_angle + delta[0];
|
|
|
|
return true;
|
|
}
|
|
|
|
void IK_QRevoluteSegment::Lock(int, IK_QJacobian& jacobian, MT_Vector3& delta)
|
|
{
|
|
m_locked[0] = true;
|
|
jacobian.Lock(m_DoF_id, delta[0]);
|
|
}
|
|
|
|
void IK_QRevoluteSegment::UpdateAngleApply()
|
|
{
|
|
m_angle = m_new_angle;
|
|
m_basis = RotationMatrix(m_angle, m_axis);
|
|
}
|
|
|
|
void IK_QRevoluteSegment::SetLimit(int axis, MT_Scalar lmin, MT_Scalar lmax)
|
|
{
|
|
if (lmin > lmax || m_axis != axis)
|
|
return;
|
|
|
|
// clamp and convert to axis angle parameters
|
|
lmin = MT_clamp(lmin, -MT_PI, MT_PI);
|
|
lmax = MT_clamp(lmax, -MT_PI, MT_PI);
|
|
|
|
m_min = lmin;
|
|
m_max = lmax;
|
|
|
|
m_limit = true;
|
|
}
|
|
|
|
void IK_QRevoluteSegment::SetWeight(int axis, MT_Scalar weight)
|
|
{
|
|
if (axis == m_axis)
|
|
m_weight[0] = weight;
|
|
}
|
|
|
|
// IK_QSwingSegment
|
|
|
|
IK_QSwingSegment::IK_QSwingSegment()
|
|
: IK_QSegment(2, false), m_limit_x(false), m_limit_z(false)
|
|
{
|
|
}
|
|
|
|
void IK_QSwingSegment::SetBasis(const MT_Matrix3x3& basis)
|
|
{
|
|
m_basis = basis;
|
|
RemoveTwist(m_basis);
|
|
}
|
|
|
|
MT_Vector3 IK_QSwingSegment::Axis(int dof) const
|
|
{
|
|
return m_global_transform.getBasis().getColumn((dof == 0) ? 0 : 2);
|
|
}
|
|
|
|
bool IK_QSwingSegment::UpdateAngle(const IK_QJacobian &jacobian, MT_Vector3& delta, bool *clamp)
|
|
{
|
|
if (m_locked[0] && m_locked[1])
|
|
return false;
|
|
|
|
MT_Vector3 dq;
|
|
dq.x() = jacobian.AngleUpdate(m_DoF_id);
|
|
dq.y() = 0.0;
|
|
dq.z() = jacobian.AngleUpdate(m_DoF_id + 1);
|
|
|
|
// Directly update the rotation matrix, with Rodrigues' rotation formula,
|
|
// to avoid singularities and allow smooth integration.
|
|
|
|
MT_Scalar theta = dq.length();
|
|
|
|
if (!MT_fuzzyZero(theta)) {
|
|
MT_Vector3 w = dq * (1.0 / theta);
|
|
|
|
MT_Scalar sine = sin(theta);
|
|
MT_Scalar cosine = cos(theta);
|
|
MT_Scalar cosineInv = 1 - cosine;
|
|
|
|
MT_Scalar xsine = w.x() * sine;
|
|
MT_Scalar zsine = w.z() * sine;
|
|
|
|
MT_Scalar xxcosine = w.x() * w.x() * cosineInv;
|
|
MT_Scalar xzcosine = w.x() * w.z() * cosineInv;
|
|
MT_Scalar zzcosine = w.z() * w.z() * cosineInv;
|
|
|
|
MT_Matrix3x3 M(
|
|
cosine + xxcosine, -zsine, xzcosine,
|
|
zsine, cosine, -xsine,
|
|
xzcosine, xsine, cosine + zzcosine);
|
|
|
|
m_new_basis = m_basis * M;
|
|
|
|
RemoveTwist(m_new_basis);
|
|
}
|
|
else
|
|
m_new_basis = m_basis;
|
|
|
|
if (m_limit_x == false && m_limit_z == false)
|
|
return false;
|
|
|
|
MT_Vector3 a = SphericalRangeParameters(m_new_basis);
|
|
MT_Scalar ax = 0, az = 0;
|
|
|
|
clamp[0] = clamp[1] = false;
|
|
|
|
if (m_limit_x && m_limit_z) {
|
|
ax = a.x();
|
|
az = a.z();
|
|
|
|
if (EllipseClamp(ax, az, m_min, m_max))
|
|
clamp[0] = clamp[1] = true;
|
|
}
|
|
else if (m_limit_x) {
|
|
if (ax < m_min[0]) {
|
|
ax = m_min[0];
|
|
clamp[0] = true;
|
|
}
|
|
else if (ax > m_max[0]) {
|
|
ax = m_max[0];
|
|
clamp[0] = true;
|
|
}
|
|
}
|
|
else if (m_limit_z) {
|
|
if (az < m_min[1]) {
|
|
az = m_min[1];
|
|
clamp[1] = true;
|
|
}
|
|
else if (az > m_max[1]) {
|
|
az = m_max[1];
|
|
clamp[1] = true;
|
|
}
|
|
}
|
|
|
|
if (clamp[0] == false && clamp[1] == false)
|
|
return false;
|
|
|
|
m_new_basis = ComputeSwingMatrix(ax, az);
|
|
|
|
delta = MatrixToAxisAngle(m_basis.transposed() * m_new_basis);
|
|
delta[1] = delta[2]; delta[2] = 0.0;
|
|
|
|
return true;
|
|
}
|
|
|
|
void IK_QSwingSegment::Lock(int, IK_QJacobian& jacobian, MT_Vector3& delta)
|
|
{
|
|
m_locked[0] = m_locked[1] = true;
|
|
jacobian.Lock(m_DoF_id, delta[0]);
|
|
jacobian.Lock(m_DoF_id + 1, delta[1]);
|
|
}
|
|
|
|
void IK_QSwingSegment::UpdateAngleApply()
|
|
{
|
|
m_basis = m_new_basis;
|
|
}
|
|
|
|
void IK_QSwingSegment::SetLimit(int axis, MT_Scalar lmin, MT_Scalar lmax)
|
|
{
|
|
if (lmin > lmax)
|
|
return;
|
|
|
|
// clamp and convert to axis angle parameters
|
|
lmin = MT_clamp(lmin, -MT_PI, MT_PI);
|
|
lmax = MT_clamp(lmax, -MT_PI, MT_PI);
|
|
|
|
lmin = sin(lmin * 0.5);
|
|
lmax = sin(lmax * 0.5);
|
|
|
|
// put center of ellispe in the middle between min and max
|
|
MT_Scalar offset = 0.5 * (lmin + lmax);
|
|
//lmax = lmax - offset;
|
|
|
|
if (axis == 0) {
|
|
m_min[0] = -lmax;
|
|
m_max[0] = -lmin;
|
|
|
|
m_limit_x = true;
|
|
m_offset_x = offset;
|
|
m_max_x = lmax;
|
|
}
|
|
else if (axis == 2) {
|
|
m_min[1] = -lmax;
|
|
m_max[1] = -lmin;
|
|
|
|
m_limit_z = true;
|
|
m_offset_z = offset;
|
|
m_max_z = lmax;
|
|
}
|
|
}
|
|
|
|
void IK_QSwingSegment::SetWeight(int axis, MT_Scalar weight)
|
|
{
|
|
if (axis == 0)
|
|
m_weight[0] = weight;
|
|
else if (axis == 2)
|
|
m_weight[1] = weight;
|
|
}
|
|
|
|
// IK_QElbowSegment
|
|
|
|
IK_QElbowSegment::IK_QElbowSegment(int axis)
|
|
: IK_QSegment(2, false), m_axis(axis), m_twist(0.0), m_angle(0.0),
|
|
m_cos_twist(1.0), m_sin_twist(0.0), m_limit(false), m_limit_twist(false)
|
|
{
|
|
}
|
|
|
|
void IK_QElbowSegment::SetBasis(const MT_Matrix3x3& basis)
|
|
{
|
|
m_basis = basis;
|
|
|
|
m_twist = ComputeTwist(m_basis);
|
|
RemoveTwist(m_basis);
|
|
m_angle = EulerAngleFromMatrix(basis, m_axis);
|
|
|
|
m_basis = RotationMatrix(m_angle, m_axis) * ComputeTwistMatrix(m_twist);
|
|
}
|
|
|
|
MT_Vector3 IK_QElbowSegment::Axis(int dof) const
|
|
{
|
|
if (dof == 0) {
|
|
MT_Vector3 v;
|
|
if (m_axis == 0)
|
|
v = MT_Vector3(m_cos_twist, 0, m_sin_twist);
|
|
else
|
|
v = MT_Vector3(-m_sin_twist, 0, m_cos_twist);
|
|
|
|
return m_global_transform.getBasis() * v;
|
|
}
|
|
else
|
|
return m_global_transform.getBasis().getColumn(1);
|
|
}
|
|
|
|
bool IK_QElbowSegment::UpdateAngle(const IK_QJacobian &jacobian, MT_Vector3& delta, bool *clamp)
|
|
{
|
|
if (m_locked[0] && m_locked[1])
|
|
return false;
|
|
|
|
clamp[0] = clamp[1] = false;
|
|
|
|
if (!m_locked[0]) {
|
|
m_new_angle = m_angle + jacobian.AngleUpdate(m_DoF_id);
|
|
|
|
if (m_limit) {
|
|
if (m_new_angle > m_max) {
|
|
delta[0] = m_max - m_angle;
|
|
m_new_angle = m_max;
|
|
clamp[0] = true;
|
|
}
|
|
else if (m_new_angle < m_min) {
|
|
delta[0] = m_min - m_angle;
|
|
m_new_angle = m_min;
|
|
clamp[0] = true;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (!m_locked[1]) {
|
|
m_new_twist = m_twist + jacobian.AngleUpdate(m_DoF_id + 1);
|
|
|
|
if (m_limit_twist) {
|
|
if (m_new_twist > m_max_twist) {
|
|
delta[1] = m_max_twist - m_twist;
|
|
m_new_twist = m_max_twist;
|
|
clamp[1] = true;
|
|
}
|
|
else if (m_new_twist < m_min_twist) {
|
|
delta[1] = m_min_twist - m_twist;
|
|
m_new_twist = m_min_twist;
|
|
clamp[1] = true;
|
|
}
|
|
}
|
|
}
|
|
|
|
return (clamp[0] || clamp[1]);
|
|
}
|
|
|
|
void IK_QElbowSegment::Lock(int dof, IK_QJacobian& jacobian, MT_Vector3& delta)
|
|
{
|
|
if (dof == 0) {
|
|
m_locked[0] = true;
|
|
jacobian.Lock(m_DoF_id, delta[0]);
|
|
}
|
|
else {
|
|
m_locked[1] = true;
|
|
jacobian.Lock(m_DoF_id + 1, delta[1]);
|
|
}
|
|
}
|
|
|
|
void IK_QElbowSegment::UpdateAngleApply()
|
|
{
|
|
m_angle = m_new_angle;
|
|
m_twist = m_new_twist;
|
|
|
|
m_sin_twist = sin(m_twist);
|
|
m_cos_twist = cos(m_twist);
|
|
|
|
MT_Matrix3x3 A = RotationMatrix(m_angle, m_axis);
|
|
MT_Matrix3x3 T = RotationMatrix(m_sin_twist, m_cos_twist, 1);
|
|
|
|
m_basis = A * T;
|
|
}
|
|
|
|
void IK_QElbowSegment::SetLimit(int axis, MT_Scalar lmin, MT_Scalar lmax)
|
|
{
|
|
if (lmin > lmax)
|
|
return;
|
|
|
|
// clamp and convert to axis angle parameters
|
|
lmin = MT_clamp(lmin, -MT_PI, MT_PI);
|
|
lmax = MT_clamp(lmax, -MT_PI, MT_PI);
|
|
|
|
if (axis == 1) {
|
|
m_min_twist = lmin;
|
|
m_max_twist = lmax;
|
|
m_limit_twist = true;
|
|
}
|
|
else if (axis == m_axis) {
|
|
m_min = lmin;
|
|
m_max = lmax;
|
|
m_limit = true;
|
|
}
|
|
}
|
|
|
|
void IK_QElbowSegment::SetWeight(int axis, MT_Scalar weight)
|
|
{
|
|
if (axis == m_axis)
|
|
m_weight[0] = weight;
|
|
else if (axis == 1)
|
|
m_weight[1] = weight;
|
|
}
|
|
|
|
// IK_QTranslateSegment
|
|
|
|
IK_QTranslateSegment::IK_QTranslateSegment(int axis1)
|
|
: IK_QSegment(1, true)
|
|
{
|
|
m_axis_enabled[0] = m_axis_enabled[1] = m_axis_enabled[2] = false;
|
|
m_axis_enabled[axis1] = true;
|
|
|
|
m_axis[0] = axis1;
|
|
|
|
m_limit[0] = m_limit[1] = m_limit[2] = false;
|
|
}
|
|
|
|
IK_QTranslateSegment::IK_QTranslateSegment(int axis1, int axis2)
|
|
: IK_QSegment(2, true)
|
|
{
|
|
m_axis_enabled[0] = m_axis_enabled[1] = m_axis_enabled[2] = false;
|
|
m_axis_enabled[axis1] = true;
|
|
m_axis_enabled[axis2] = true;
|
|
|
|
m_axis[0] = axis1;
|
|
m_axis[1] = axis2;
|
|
|
|
m_limit[0] = m_limit[1] = m_limit[2] = false;
|
|
}
|
|
|
|
IK_QTranslateSegment::IK_QTranslateSegment()
|
|
: IK_QSegment(3, true)
|
|
{
|
|
m_axis_enabled[0] = m_axis_enabled[1] = m_axis_enabled[2] = true;
|
|
|
|
m_axis[0] = 0;
|
|
m_axis[1] = 1;
|
|
m_axis[2] = 2;
|
|
|
|
m_limit[0] = m_limit[1] = m_limit[2] = false;
|
|
}
|
|
|
|
MT_Vector3 IK_QTranslateSegment::Axis(int dof) const
|
|
{
|
|
return m_global_transform.getBasis().getColumn(m_axis[dof]);
|
|
}
|
|
|
|
bool IK_QTranslateSegment::UpdateAngle(const IK_QJacobian &jacobian, MT_Vector3& delta, bool *clamp)
|
|
{
|
|
int dof_id = m_DoF_id, dof = 0, i, clamped = false;
|
|
|
|
MT_Vector3 dx(0.0, 0.0, 0.0);
|
|
|
|
for (i = 0; i < 3; i++) {
|
|
if (!m_axis_enabled[i]) {
|
|
m_new_translation[i] = m_translation[i];
|
|
continue;
|
|
}
|
|
|
|
clamp[dof] = false;
|
|
|
|
if (!m_locked[dof]) {
|
|
m_new_translation[i] = m_translation[i] + jacobian.AngleUpdate(dof_id);
|
|
|
|
if (m_limit[i]) {
|
|
if (m_new_translation[i] > m_max[i]) {
|
|
delta[dof] = m_max[i] - m_translation[i];
|
|
m_new_translation[i] = m_max[i];
|
|
clamped = clamp[dof] = true;
|
|
}
|
|
else if (m_new_translation[i] < m_min[i]) {
|
|
delta[dof] = m_min[i] - m_translation[i];
|
|
m_new_translation[i] = m_min[i];
|
|
clamped = clamp[dof] = true;
|
|
}
|
|
}
|
|
}
|
|
|
|
dof_id++;
|
|
dof++;
|
|
}
|
|
|
|
return clamped;
|
|
}
|
|
|
|
void IK_QTranslateSegment::UpdateAngleApply()
|
|
{
|
|
m_translation = m_new_translation;
|
|
}
|
|
|
|
void IK_QTranslateSegment::Lock(int dof, IK_QJacobian& jacobian, MT_Vector3& delta)
|
|
{
|
|
m_locked[dof] = true;
|
|
jacobian.Lock(m_DoF_id + dof, delta[dof]);
|
|
}
|
|
|
|
void IK_QTranslateSegment::SetWeight(int axis, MT_Scalar weight)
|
|
{
|
|
int i;
|
|
|
|
for (i = 0; i < m_num_DoF; i++)
|
|
if (m_axis[i] == axis)
|
|
m_weight[i] = weight;
|
|
}
|
|
|
|
void IK_QTranslateSegment::SetLimit(int axis, MT_Scalar lmin, MT_Scalar lmax)
|
|
{
|
|
if (lmax < lmin)
|
|
return;
|
|
|
|
m_min[axis] = lmin;
|
|
m_max[axis] = lmax;
|
|
m_limit[axis] = true;
|
|
}
|
|
|
|
void IK_QTranslateSegment::Scale(MT_Scalar scale)
|
|
{
|
|
int i;
|
|
|
|
IK_QSegment::Scale(scale);
|
|
|
|
for (i = 0; i < 3; i++) {
|
|
m_min[0] *= scale;
|
|
m_max[1] *= scale;
|
|
}
|
|
|
|
m_new_translation *= scale;
|
|
}
|
|
|