1 | /* |
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2 | Bullet Continuous Collision Detection and Physics Library |
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3 | btConeTwistConstraint is Copyright (c) 2007 Starbreeze Studios |
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4 | |
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5 | This software is provided 'as-is', without any express or implied warranty. |
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6 | In no event will the authors be held liable for any damages arising from the use of this software. |
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7 | Permission is granted to anyone to use this software for any purpose, |
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8 | including commercial applications, and to alter it and redistribute it freely, |
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9 | subject to the following restrictions: |
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10 | |
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11 | 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. |
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12 | 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. |
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13 | 3. This notice may not be removed or altered from any source distribution. |
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14 | |
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15 | Written by: Marcus Hennix |
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16 | */ |
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17 | |
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18 | |
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19 | #include "btConeTwistConstraint.h" |
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20 | #include "BulletDynamics/Dynamics/btRigidBody.h" |
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21 | #include "LinearMath/btTransformUtil.h" |
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22 | #include "LinearMath/btMinMax.h" |
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23 | #include <new> |
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24 | |
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25 | btConeTwistConstraint::btConeTwistConstraint() |
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26 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE) |
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27 | { |
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28 | } |
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29 | |
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30 | |
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31 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,btRigidBody& rbB, |
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32 | const btTransform& rbAFrame,const btTransform& rbBFrame) |
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33 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE, rbA,rbB),m_rbAFrame(rbAFrame),m_rbBFrame(rbBFrame), |
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34 | m_angularOnly(false) |
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35 | { |
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36 | m_swingSpan1 = btScalar(1e30); |
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37 | m_swingSpan2 = btScalar(1e30); |
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38 | m_twistSpan = btScalar(1e30); |
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39 | m_biasFactor = 0.3f; |
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40 | m_relaxationFactor = 1.0f; |
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41 | |
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42 | m_solveTwistLimit = false; |
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43 | m_solveSwingLimit = false; |
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44 | |
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45 | } |
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46 | |
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47 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,const btTransform& rbAFrame) |
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48 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE,rbA),m_rbAFrame(rbAFrame), |
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49 | m_angularOnly(false) |
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50 | { |
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51 | m_rbBFrame = m_rbAFrame; |
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52 | |
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53 | m_swingSpan1 = btScalar(1e30); |
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54 | m_swingSpan2 = btScalar(1e30); |
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55 | m_twistSpan = btScalar(1e30); |
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56 | m_biasFactor = 0.3f; |
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57 | m_relaxationFactor = 1.0f; |
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58 | |
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59 | m_solveTwistLimit = false; |
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60 | m_solveSwingLimit = false; |
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61 | |
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62 | } |
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63 | |
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64 | void btConeTwistConstraint::buildJacobian() |
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65 | { |
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66 | m_appliedImpulse = btScalar(0.); |
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67 | |
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68 | //set bias, sign, clear accumulator |
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69 | m_swingCorrection = btScalar(0.); |
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70 | m_twistLimitSign = btScalar(0.); |
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71 | m_solveTwistLimit = false; |
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72 | m_solveSwingLimit = false; |
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73 | m_accTwistLimitImpulse = btScalar(0.); |
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74 | m_accSwingLimitImpulse = btScalar(0.); |
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75 | |
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76 | if (!m_angularOnly) |
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77 | { |
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78 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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79 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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80 | btVector3 relPos = pivotBInW - pivotAInW; |
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81 | |
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82 | btVector3 normal[3]; |
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83 | if (relPos.length2() > SIMD_EPSILON) |
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84 | { |
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85 | normal[0] = relPos.normalized(); |
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86 | } |
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87 | else |
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88 | { |
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89 | normal[0].setValue(btScalar(1.0),0,0); |
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90 | } |
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91 | |
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92 | btPlaneSpace1(normal[0], normal[1], normal[2]); |
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93 | |
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94 | for (int i=0;i<3;i++) |
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95 | { |
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96 | new (&m_jac[i]) btJacobianEntry( |
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97 | m_rbA.getCenterOfMassTransform().getBasis().transpose(), |
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98 | m_rbB.getCenterOfMassTransform().getBasis().transpose(), |
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99 | pivotAInW - m_rbA.getCenterOfMassPosition(), |
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100 | pivotBInW - m_rbB.getCenterOfMassPosition(), |
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101 | normal[i], |
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102 | m_rbA.getInvInertiaDiagLocal(), |
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103 | m_rbA.getInvMass(), |
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104 | m_rbB.getInvInertiaDiagLocal(), |
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105 | m_rbB.getInvMass()); |
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106 | } |
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107 | } |
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108 | |
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109 | btVector3 b1Axis1,b1Axis2,b1Axis3; |
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110 | btVector3 b2Axis1,b2Axis2; |
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111 | |
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112 | b1Axis1 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(0); |
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113 | b2Axis1 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(0); |
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114 | |
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115 | btScalar swing1=btScalar(0.),swing2 = btScalar(0.); |
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116 | |
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117 | btScalar swx=btScalar(0.),swy = btScalar(0.); |
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118 | btScalar thresh = btScalar(10.); |
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119 | btScalar fact; |
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120 | |
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121 | // Get Frame into world space |
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122 | if (m_swingSpan1 >= btScalar(0.05f)) |
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123 | { |
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124 | b1Axis2 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(1); |
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125 | // swing1 = btAtan2Fast( b2Axis1.dot(b1Axis2),b2Axis1.dot(b1Axis1) ); |
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126 | swx = b2Axis1.dot(b1Axis1); |
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127 | swy = b2Axis1.dot(b1Axis2); |
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128 | swing1 = btAtan2Fast(swy, swx); |
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129 | fact = (swy*swy + swx*swx) * thresh * thresh; |
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130 | fact = fact / (fact + btScalar(1.0)); |
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131 | swing1 *= fact; |
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132 | |
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133 | } |
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134 | |
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135 | if (m_swingSpan2 >= btScalar(0.05f)) |
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136 | { |
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137 | b1Axis3 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(2); |
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138 | // swing2 = btAtan2Fast( b2Axis1.dot(b1Axis3),b2Axis1.dot(b1Axis1) ); |
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139 | swx = b2Axis1.dot(b1Axis1); |
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140 | swy = b2Axis1.dot(b1Axis3); |
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141 | swing2 = btAtan2Fast(swy, swx); |
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142 | fact = (swy*swy + swx*swx) * thresh * thresh; |
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143 | fact = fact / (fact + btScalar(1.0)); |
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144 | swing2 *= fact; |
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145 | } |
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146 | |
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147 | btScalar RMaxAngle1Sq = 1.0f / (m_swingSpan1*m_swingSpan1); |
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148 | btScalar RMaxAngle2Sq = 1.0f / (m_swingSpan2*m_swingSpan2); |
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149 | btScalar EllipseAngle = btFabs(swing1*swing1)* RMaxAngle1Sq + btFabs(swing2*swing2) * RMaxAngle2Sq; |
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150 | |
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151 | if (EllipseAngle > 1.0f) |
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152 | { |
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153 | m_swingCorrection = EllipseAngle-1.0f; |
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154 | m_solveSwingLimit = true; |
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155 | |
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156 | // Calculate necessary axis & factors |
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157 | m_swingAxis = b2Axis1.cross(b1Axis2* b2Axis1.dot(b1Axis2) + b1Axis3* b2Axis1.dot(b1Axis3)); |
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158 | m_swingAxis.normalize(); |
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159 | |
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160 | btScalar swingAxisSign = (b2Axis1.dot(b1Axis1) >= 0.0f) ? 1.0f : -1.0f; |
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161 | m_swingAxis *= swingAxisSign; |
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162 | |
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163 | m_kSwing = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_swingAxis) + |
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164 | getRigidBodyB().computeAngularImpulseDenominator(m_swingAxis)); |
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165 | |
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166 | } |
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167 | |
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168 | // Twist limits |
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169 | if (m_twistSpan >= btScalar(0.)) |
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170 | { |
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171 | btVector3 b2Axis2 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(1); |
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172 | btQuaternion rotationArc = shortestArcQuat(b2Axis1,b1Axis1); |
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173 | btVector3 TwistRef = quatRotate(rotationArc,b2Axis2); |
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174 | btScalar twist = btAtan2Fast( TwistRef.dot(b1Axis3), TwistRef.dot(b1Axis2) ); |
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175 | |
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176 | btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? m_limitSoftness : btScalar(0.); |
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177 | if (twist <= -m_twistSpan*lockedFreeFactor) |
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178 | { |
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179 | m_twistCorrection = -(twist + m_twistSpan); |
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180 | m_solveTwistLimit = true; |
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181 | |
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182 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
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183 | m_twistAxis.normalize(); |
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184 | m_twistAxis *= -1.0f; |
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185 | |
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186 | m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) + |
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187 | getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis)); |
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188 | |
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189 | } else |
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190 | if (twist > m_twistSpan*lockedFreeFactor) |
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191 | { |
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192 | m_twistCorrection = (twist - m_twistSpan); |
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193 | m_solveTwistLimit = true; |
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194 | |
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195 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
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196 | m_twistAxis.normalize(); |
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197 | |
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198 | m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) + |
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199 | getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis)); |
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200 | |
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201 | } |
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202 | } |
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203 | } |
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204 | |
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205 | void btConeTwistConstraint::solveConstraint(btScalar timeStep) |
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206 | { |
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207 | |
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208 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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209 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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210 | |
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211 | btScalar tau = btScalar(0.3); |
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212 | |
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213 | //linear part |
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214 | if (!m_angularOnly) |
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215 | { |
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216 | btVector3 rel_pos1 = pivotAInW - m_rbA.getCenterOfMassPosition(); |
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217 | btVector3 rel_pos2 = pivotBInW - m_rbB.getCenterOfMassPosition(); |
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218 | |
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219 | btVector3 vel1 = m_rbA.getVelocityInLocalPoint(rel_pos1); |
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220 | btVector3 vel2 = m_rbB.getVelocityInLocalPoint(rel_pos2); |
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221 | btVector3 vel = vel1 - vel2; |
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222 | |
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223 | for (int i=0;i<3;i++) |
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224 | { |
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225 | const btVector3& normal = m_jac[i].m_linearJointAxis; |
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226 | btScalar jacDiagABInv = btScalar(1.) / m_jac[i].getDiagonal(); |
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227 | |
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228 | btScalar rel_vel; |
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229 | rel_vel = normal.dot(vel); |
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230 | //positional error (zeroth order error) |
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231 | btScalar depth = -(pivotAInW - pivotBInW).dot(normal); //this is the error projected on the normal |
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232 | btScalar impulse = depth*tau/timeStep * jacDiagABInv - rel_vel * jacDiagABInv; |
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233 | m_appliedImpulse += impulse; |
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234 | btVector3 impulse_vector = normal * impulse; |
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235 | m_rbA.applyImpulse(impulse_vector, pivotAInW - m_rbA.getCenterOfMassPosition()); |
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236 | m_rbB.applyImpulse(-impulse_vector, pivotBInW - m_rbB.getCenterOfMassPosition()); |
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237 | } |
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238 | } |
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239 | |
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240 | { |
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241 | ///solve angular part |
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242 | const btVector3& angVelA = getRigidBodyA().getAngularVelocity(); |
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243 | const btVector3& angVelB = getRigidBodyB().getAngularVelocity(); |
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244 | |
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245 | // solve swing limit |
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246 | if (m_solveSwingLimit) |
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247 | { |
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248 | btScalar amplitude = ((angVelB - angVelA).dot( m_swingAxis )*m_relaxationFactor*m_relaxationFactor + m_swingCorrection*(btScalar(1.)/timeStep)*m_biasFactor); |
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249 | btScalar impulseMag = amplitude * m_kSwing; |
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250 | |
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251 | // Clamp the accumulated impulse |
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252 | btScalar temp = m_accSwingLimitImpulse; |
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253 | m_accSwingLimitImpulse = btMax(m_accSwingLimitImpulse + impulseMag, btScalar(0.0) ); |
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254 | impulseMag = m_accSwingLimitImpulse - temp; |
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255 | |
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256 | btVector3 impulse = m_swingAxis * impulseMag; |
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257 | |
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258 | m_rbA.applyTorqueImpulse(impulse); |
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259 | m_rbB.applyTorqueImpulse(-impulse); |
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260 | |
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261 | } |
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262 | |
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263 | // solve twist limit |
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264 | if (m_solveTwistLimit) |
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265 | { |
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266 | btScalar amplitude = ((angVelB - angVelA).dot( m_twistAxis )*m_relaxationFactor*m_relaxationFactor + m_twistCorrection*(btScalar(1.)/timeStep)*m_biasFactor ); |
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267 | btScalar impulseMag = amplitude * m_kTwist; |
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268 | |
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269 | // Clamp the accumulated impulse |
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270 | btScalar temp = m_accTwistLimitImpulse; |
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271 | m_accTwistLimitImpulse = btMax(m_accTwistLimitImpulse + impulseMag, btScalar(0.0) ); |
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272 | impulseMag = m_accTwistLimitImpulse - temp; |
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273 | |
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274 | btVector3 impulse = m_twistAxis * impulseMag; |
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275 | |
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276 | m_rbA.applyTorqueImpulse(impulse); |
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277 | m_rbB.applyTorqueImpulse(-impulse); |
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278 | |
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279 | } |
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280 | |
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281 | } |
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282 | |
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283 | } |
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284 | |
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285 | void btConeTwistConstraint::updateRHS(btScalar timeStep) |
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286 | { |
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287 | (void)timeStep; |
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288 | |
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289 | } |
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