/** * Interpolate {@link #frame()} at time {@code time} (expressed in seconds). {@link * #interpolationTime()} is set to {@code time} and {@link #frame()} is set accordingly. * * <p>If you simply want to change {@link #interpolationTime()} but not the {@link #frame()} * state, use {@link #setInterpolationTime(float)} instead. */ public void interpolateAtTime(float time) { this.checkValidity(); setInterpolationTime(time); if ((keyFrameList.isEmpty()) || (frame() == null)) return; if (!valuesAreValid) updateModifiedFrameValues(); updateCurrentKeyFrameForTime(time); if (!splineCacheIsValid) updateSplineCache(); float alpha; float dt = keyFrameList.get(currentFrame2.nextIndex()).time() - keyFrameList.get(currentFrame1.nextIndex()).time(); if (Util.zero(dt)) alpha = 0.0f; else alpha = (time - keyFrameList.get(currentFrame1.nextIndex()).time()) / dt; Vec pos = Vec.add( keyFrameList.get(currentFrame1.nextIndex()).position(), Vec.multiply( Vec.add( keyFrameList.get(currentFrame1.nextIndex()).tgP(), Vec.multiply(Vec.add(pv1, Vec.multiply(pv2, alpha)), alpha)), alpha)); float mag = Util.lerp( keyFrameList.get(currentFrame1.nextIndex()).magnitude(), keyFrameList.get(currentFrame2.nextIndex()).magnitude(), alpha); Rotation q; if (gScene.is3D()) { q = Quat.squad( (Quat) keyFrameList.get(currentFrame1.nextIndex()).orientation(), ((KeyFrame3D) keyFrameList.get(currentFrame1.nextIndex())).tgQ(), ((KeyFrame3D) keyFrameList.get(currentFrame2.nextIndex())).tgQ(), (Quat) keyFrameList.get(currentFrame2.nextIndex()).orientation(), alpha); } else { q = new Rot( Util.lerp( keyFrameList.get(currentFrame1.nextIndex()).orientation().angle(), keyFrameList.get(currentFrame2.nextIndex()).orientation().angle(), (alpha))); } frame().setPositionWithConstraint(pos); frame().setRotationWithConstraint(q); frame().setMagnitude(mag); }
protected void updateSplineCache() { Vec deltaP = Vec.subtract( keyFrameList.get(currentFrame2.nextIndex()).position(), keyFrameList.get(currentFrame1.nextIndex()).position()); pv1 = Vec.add( Vec.multiply(deltaP, 3.0f), Vec.multiply(keyFrameList.get(currentFrame1.nextIndex()).tgP(), (-2.0f))); pv1 = Vec.subtract(pv1, keyFrameList.get(currentFrame2.nextIndex()).tgP()); pv2 = Vec.add(Vec.multiply(deltaP, (-2.0f)), keyFrameList.get(currentFrame1.nextIndex()).tgP()); pv2 = Vec.add(pv2, keyFrameList.get(currentFrame2.nextIndex()).tgP()); splineCacheIsValid = true; }
@Override void computeTangent(KeyFrame prev, KeyFrame next) { tgPVec = Vec.multiply(Vec.subtract(next.position(), prev.position()), 0.5f); tgQuat = Quat.squadTangent( (Quat) prev.orientation(), (Quat) orientation(), (Quat) next.orientation()); }
/** Intenal use. Call {@link #checkValidity()} and if path is not valid recomputes it. */ protected void updatePath() { checkValidity(); if (!pathIsValid) { path.clear(); int nbSteps = 30; if (keyFrameList.isEmpty()) return; if (!valuesAreValid) updateModifiedFrameValues(); if (keyFrameList.get(0) == keyFrameList.get(keyFrameList.size() - 1)) // TODO experimenting really path.add( new Frame( keyFrameList.get(0).position(), keyFrameList.get(0).orientation(), keyFrameList.get(0).magnitude())); else { KeyFrame[] kf = new KeyFrame[4]; kf[0] = keyFrameList.get(0); kf[1] = kf[0]; int index = 1; kf[2] = (index < keyFrameList.size()) ? keyFrameList.get(index) : null; index++; kf[3] = (index < keyFrameList.size()) ? keyFrameList.get(index) : null; while (kf[2] != null) { Vec pdiff = Vec.subtract(kf[2].position(), kf[1].position()); Vec pvec1 = Vec.add(Vec.multiply(pdiff, 3.0f), Vec.multiply(kf[1].tgP(), (-2.0f))); pvec1 = Vec.subtract(pvec1, kf[2].tgP()); Vec pvec2 = Vec.add(Vec.multiply(pdiff, (-2.0f)), kf[1].tgP()); pvec2 = Vec.add(pvec2, kf[2].tgP()); for (int step = 0; step < nbSteps; ++step) { Frame frame = new Frame(); float alpha = step / (float) nbSteps; frame.setPosition( Vec.add( kf[1].position(), Vec.multiply( Vec.add( kf[1].tgP(), Vec.multiply(Vec.add(pvec1, Vec.multiply(pvec2, alpha)), alpha)), alpha))); if (gScene.is3D()) { frame.setOrientation( Quat.squad( (Quat) kf[1].orientation(), ((KeyFrame3D) kf[1]).tgQ(), ((KeyFrame3D) kf[2]).tgQ(), (Quat) kf[2].orientation(), alpha)); } else { // linear interpolation float start = kf[1].orientation().angle(); float stop = kf[2].orientation().angle(); frame.setOrientation(new Rot(start + (stop - start) * alpha)); } frame.setMagnitude(Util.lerp(kf[1].magnitude(), kf[2].magnitude(), alpha)); path.add(frame.get()); } // Shift kf[0] = kf[1]; kf[1] = kf[2]; kf[2] = kf[3]; index++; kf[3] = (index < keyFrameList.size()) ? keyFrameList.get(index) : null; } // Add last KeyFrame path.add(new Frame(kf[1].position(), kf[1].orientation(), kf[1].magnitude())); } pathIsValid = true; } }
@Override void computeTangent(KeyFrame prev, KeyFrame next) { tgPVec = Vec.multiply(Vec.subtract(next.position(), prev.position()), 0.5f); }