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Commit d89e2a3e authored by amandaghassaei's avatar amandaghassaei
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translational shader update

parent e504b547
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Showing with 265 additions and 167 deletions
js/simulation/function/EM/emSimLattice.js
View file @ d89e2a3e
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js/simulation/function/EM/shaders/positionCalcShader.js
View file @ d89e2a3e
......@@ -5,13 +5,13 @@ uniform float u_dt;
uniform sampler2D u_velocity;
uniform sampler2D u_lastTranslation;
uniform sampler2D u_fixed;
uniform sampler2D u_mass;
void main(){
vec2 fragCoord = gl_FragCoord.xy;
vec2 scaledFragCoord = fragCoord/u_textureDim;
float isFixed = texture2D(u_fixed, scaledFragCoord).x;
float isFixed = texture2D(u_mass, scaledFragCoord).y;
if (isFixed < 0.0 || isFixed == 1.0){//no cell or is fixed
gl_FragColor = vec4(0, 0, 0, 0);
return;
......
js/simulation/function/EM/shaders/velocityCalcShader.js
View file @ d89e2a3e
......@@ -16,7 +16,6 @@ uniform float u_friction;
uniform sampler2D u_lastVelocity;
uniform sampler2D u_lastTranslation;
uniform sampler2D u_mass;
uniform sampler2D u_fixed;
uniform sampler2D u_neighborsXMapping;
uniform sampler2D u_neighborsYMapping;
uniform sampler2D u_compositeKs;
......@@ -102,39 +101,111 @@ float getActuatorVoltage(float wireIndex){
return 0.0;
}
vec4 averageQuaternions(vec4 quaternion1, vec4 quaternion2){
float x = quaternion1[0], y = quaternion1[1], z = quaternion1[2], w = quaternion1[3];
float _x1 = quaternion1[0], _y1 = quaternion1[1], _z1 = quaternion1[2], _w1 = quaternion1[3];
float _x2 = quaternion2[0], _y2 = quaternion2[1], _z2 = quaternion2[2], _w2 = quaternion2[3];
// http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/
float cosHalfTheta = w * _w2 + x * _x2 + y * _y2 + z * _z2;
if ( cosHalfTheta < 0.0 ) {
_w1 = - _w2;
_x1 = - _x2;
_y1 = - _y2;
_z1 = - _z2;
cosHalfTheta = - cosHalfTheta;
} else {
_w1 = _w2;
_x1 = _x2;
_y1 = _y2;
_z1 = _z2;
}
if ( cosHalfTheta >= 1.0 ) {
_w1 = w;
_x1 = x;
_y1 = y;
_z1 = z;
return vec4(_x1, _y1, _z1, _w1);
}
float halfTheta = acos( cosHalfTheta );
float sinHalfTheta = sqrt( 1.0 - cosHalfTheta * cosHalfTheta );
if ( abs( sinHalfTheta ) < 0.001 ) {
_w1 = 0.5 * ( w + _w1 );
_x1 = 0.5 * ( x + _x1 );
_y1 = 0.5 * ( y + _y1 );
_z1 = 0.5 * ( z + _z1 );
return vec4(_x1, _y1, _z1, _w1);
}
float ratioA = sin( ( 0.5 ) * halfTheta ) / sinHalfTheta,
ratioB = sin( 0.5 * halfTheta ) / sinHalfTheta;
_w1 = ( w * ratioA + _w1 * ratioB );
_x1 = ( x * ratioA + _x1 * ratioB );
_y1 = ( y * ratioA + _y1 * ratioB );
_z1 = ( z * ratioA + _z1 * ratioB );
return vec4(_x1, _y1, _z1, _w1);
}
vec4 normalize4D(vec4 vector){
float length = sqrt(vector[0]*vector[0] + vector[1]*vector[1] + vector[2]*vector[2] + vector[3]*vector[3]);
return vec4(vector[0]/length, vector[1]/length, vector[2]/length, vector[3]/length);
}
vec4 invertQuaternion (vec4 quaternion){
return normalize4D(vec4(quaternion[0]*-1.0, quaternion[1]*-1.0, quaternion[2]*-1.0, quaternion[3]));
}
void main(){
vec2 fragCoord = gl_FragCoord.xy;
vec2 scaledFragCoord = fragCoord/u_textureDim;
float isFixed = texture2D(u_fixed, scaledFragCoord).x;
float isFixed = texture2D(u_mass, scaledFragCoord).y;
if (isFixed < 0.0 || isFixed == 1.0){//no cell or is fixed
gl_FragColor = vec4(0, 0, 0, 0);
return;
}
float mass = texture2D(u_mass, scaledFragCoord).x;
vec3 lastTranslation = texture2D(u_lastTranslation, scaledFragCoord).xyz;
vec3 lastVelocity = texture2D(u_lastVelocity, scaledFragCoord).xyz;
vec3 force = u_gravity*mass;
vec3 translation = texture2D(u_lastTranslation, scaledFragCoord).xyz;
vec3 velocity = texture2D(u_lastVelocity, scaledFragCoord).xyz;
vec4 quaternion = texture2D(u_lastQuaternion, scaledFragCoord);
vec4 wiring = texture2D(u_wires, scaledFragCoord);
bool isActuator = wiring[0] < -0.5;//-1
vec3 force = u_gravity*mass;
//simple collision
float zPosition = texture2D(u_originalPosition, scaledFragCoord).z + lastTranslation.z*u_multiplier - u_groundHeight;
float zPosition = texture2D(u_originalPosition, scaledFragCoord).z + translation.z*u_multiplier - u_groundHeight;
float collisionK = 1.0;
if (zPosition < 0.0) {
float normalForce = -zPosition*collisionK-lastVelocity.z*collisionK/10.0;
float normalForce = -zPosition*collisionK-velocity.z*collisionK/10.0;
force.z += normalForce;
if (u_friction > 0.5){
float mu = 10.0;
if (lastVelocity.x > 0.0) force.x -= mu * normalForce;
else if (lastVelocity.x < 0.0) force.x += mu * normalForce;
if (lastVelocity.y > 0.0) force.y -= mu * normalForce;
else if (lastVelocity.y < 0.0) force.y += mu * normalForce;
if (velocity.x > 0.0) force.x -= mu * normalForce;
else if (velocity.x < 0.0) force.x += mu * normalForce;
if (velocity.y > 0.0) force.y -= mu * normalForce;
else if (velocity.y < 0.0) force.y += mu * normalForce;
}
}
......@@ -146,8 +217,12 @@ void main(){
vec2 mappingIndex = vec2(xIndex/(u_textureDim.x*2.0), scaledFragCoord.y);
vec3 neighborsXMapping = texture2D(u_neighborsXMapping, mappingIndex).xyz;
vec3 neighborsYMapping = texture2D(u_neighborsYMapping, mappingIndex).xyz;
vec3 compositeKs = texture2D(u_compositeKs, mappingIndex).xyz;
vec3 compositeDs = texture2D(u_compositeDs, mappingIndex).xyz;
vec3 longitudalK = texture2D(u_compositeKs, mappingIndex).xyz;
vec3 shearK1 = vec3(10,10,10);
vec3 shearK2 = vec3(10,10,10);
vec3 longitudalD = texture2D(u_compositeDs, mappingIndex).xyz;
vec3 shearD1 = vec3(0.03, 0.03, 0.03);
vec3 shearD2 = vec3(0.03, 0.03, 0.03);
for (int j=0;j<3;j++){
......@@ -165,44 +240,66 @@ void main(){
vec4 neighborQuaternion = texture2D(u_lastQuaternion, scaledNeighborIndex);
vec3 nominalD = neighborOffset(i*3.0+float(j));
vec3 actuatedD = vec3(nominalD[0], nominalD[1], nominalD[2]);
float actuation = 0.0;
if (isActuator){
if (neighborAxis == 0 && wiring[1]>0.1){//>0
actuation += 0.3*getActuatorVoltage(wiring[1]-1.0);
} else if (neighborAxis == 1 && wiring[2]>0.1){
actuation += 0.3*getActuatorVoltage(wiring[2]-1.0);
} else if (neighborAxis == 2 && wiring[3]>0.1){
actuation += 0.3*getActuatorVoltage(wiring[3]-1.0);
}
}
vec4 neighborWiring = texture2D(u_wires, scaledNeighborIndex);
if (neighborWiring[0] < -0.5){
if (neighborAxis == 0 && neighborWiring[1]>0.1){
actuation += 0.3*getActuatorVoltage(neighborWiring[1]-1.0);
} else if (neighborAxis == 1 && neighborWiring[2]>0.1){
actuation += 0.3*getActuatorVoltage(neighborWiring[2]-1.0);
} else if (neighborAxis == 2 && neighborWiring[3]>0.1){
actuation += 0.3*getActuatorVoltage(neighborWiring[3]-1.0);
vec3 halfNominalD = nominalD/2.0;
vec3 cellHalfNominalD = applyQuaternion(halfNominalD, quaternion);//halfNominalD in cell's reference frame
vec3 neighborHalfNominalD = applyQuaternion(halfNominalD, neighborQuaternion);//halfNominalD in neighbor's reference frame
//vec3 actuatedD = vec3(nominalD[0], nominalD[1], nominalD[2]);
//float actuation = 0.0;
//if (isActuator){
// if (neighborAxis == 0 && wiring[1]>0.1){//>0
// actuation += 0.3*getActuatorVoltage(wiring[1]-1.0);
// } else if (neighborAxis == 1 && wiring[2]>0.1){
// actuation += 0.3*getActuatorVoltage(wiring[2]-1.0);
// } else if (neighborAxis == 2 && wiring[3]>0.1){
// actuation += 0.3*getActuatorVoltage(wiring[3]-1.0);
// }
//}
//vec4 neighborWiring = texture2D(u_wires, scaledNeighborIndex);
//if (neighborWiring[0] < -0.5){
// if (neighborAxis == 0 && neighborWiring[1]>0.1){
// actuation += 0.3*getActuatorVoltage(neighborWiring[1]-1.0);
// } else if (neighborAxis == 1 && neighborWiring[2]>0.1){
// actuation += 0.3*getActuatorVoltage(neighborWiring[2]-1.0);
// } else if (neighborAxis == 2 && neighborWiring[3]>0.1){
// actuation += 0.3*getActuatorVoltage(neighborWiring[3]-1.0);
// }
//}
//if (neighborAxis == 0) actuatedD[0] *= 1.0+actuation;
//else if (neighborAxis == 1) actuatedD[1] *= 1.0+actuation;
//else if (neighborAxis == 2) actuatedD[2] *= 1.0+actuation;
vec4 averageQuaternion = averageQuaternions(quaternion, neighborQuaternion);
vec4 averageQuaternionInverse = invertQuaternion(averageQuaternion);
vec3 translationalDelta = neighborTranslation - translation + nominalD - cellHalfNominalD - neighborHalfNominalD;
vec3 translationalDeltaXYZ = applyQuaternion(translationalDelta, averageQuaternionInverse);
vec3 velocityDelta = neighborVelocity-velocity;
vec3 velocityDeltaXYZ = applyQuaternion(velocityDelta, averageQuaternionInverse);
vec3 _force = vec3(0.0,0.0,0.0);
//longitudal and shear
for (int _axis = 0; _axis < 3; _axis++) {
if (_axis == neighborAxis) {
_force[_axis] += longitudalK[_axis] * translationalDeltaXYZ[_axis] + longitudalD[_axis] * velocityDeltaXYZ[_axis];
} else {
if (neighborAxis == 0){
if (_axis == 1) _force[_axis] += shearK1[0] * translationalDeltaXYZ[_axis] + shearD1[0] * velocityDeltaXYZ[_axis];
else if (_axis == 2) _force[_axis] += shearK1[1] * translationalDeltaXYZ[_axis] + shearD1[1] * velocityDeltaXYZ[_axis];
} else if (neighborAxis == 1){
if (_axis == 0) _force[_axis] += shearK1[2] * translationalDeltaXYZ[_axis] + shearD1[2] * velocityDeltaXYZ[_axis];
else if (_axis == 2) _force[_axis] += shearK2[0] * translationalDeltaXYZ[_axis] + shearD2[0] * velocityDeltaXYZ[_axis];
} else if (neighborAxis == 2){
if (_axis == 0) _force[_axis] += shearK2[1] * translationalDeltaXYZ[_axis] + shearD2[1] * velocityDeltaXYZ[_axis];
else if (_axis == 1) _force[_axis] += shearK2[2] * translationalDeltaXYZ[_axis] + shearD2[2] * velocityDeltaXYZ[_axis];
}
}
}
if (neighborAxis == 0) actuatedD[0] *= 1.0+actuation;
else if (neighborAxis == 1) actuatedD[1] *= 1.0+actuation;
else if (neighborAxis == 2) actuatedD[2] *= 1.0+actuation;
vec3 rotatedNomD = applyQuaternion(actuatedD, quaternion);
vec3 neighbRotatedNomD = applyQuaternion(actuatedD, neighborQuaternion);
vec3 rotatedNominalD = (rotatedNomD + neighbRotatedNomD)*0.5;
float k = compositeKs[j];
float d = 0.01;//compositeDs[j];
force += k*(neighborTranslation - lastTranslation + nominalD - rotatedNominalD) + d*(neighborVelocity - lastVelocity);
//convert _force vector back into world reference frame
_force = applyQuaternion(_force, averageQuaternion);
force += _force;
}
}
vec3 velocity = lastVelocity + force/mass*u_dt;
velocity += force/mass*u_dt;
gl_FragColor = vec4(velocity, 0);
}
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