public void QuatConjTest() { Quat originalOurs = Quat.FromEuler(12 * Mathf.Deg2Rad, 97 * Mathf.Deg2Rad, 215 * Mathf.Deg2Rad); Quaternion originalUnity = UnityUtil.FromQuat(originalOurs); Quat qOurs = originalOurs.Conjugate(); Quaternion qUnity = Quaternion.Inverse(originalUnity); TestUtils.AssertQuat(qOurs, qUnity.w, qUnity.x, qUnity.y, qUnity.z); }
static Vector RotateAbout(Vector _Point, Vector _Pivot, Quat _Rotation) { Quat Q = new Quat(0.0f, _Point - _Pivot); Quat RotConjugate = _Rotation; RotConjugate.Conjugate(); Quat Pr = QuatMultiply(QuatMultiply(_Rotation, Q), RotConjugate); Vector Protated = Pr.qv; return(_Pivot + Protated); }
public Vec3 RotateAround(float angle, Vec3 axis) { // rotate into world space Quat quaternion = Quat.AngleAxis(0, axis); quaternion = quaternion.Conjugate(); Vec3 worldSpaceVector = quaternion.Transform(this); // rotate back to vector space quaternion = Quat.AngleAxis(angle, axis); worldSpaceVector = quaternion.Transform(worldSpaceVector); return(worldSpaceVector); }
public static Quat Conjugate(Quat q) { return(Quat.Conjugate(q)); }
public void Quat4() { FQuat fq = FQuat.Euler(( Fix64 )45, ( Fix64 )(-23), ( Fix64 )(-48.88)); FQuat fq2 = FQuat.Euler(( Fix64 )23, ( Fix64 )(-78), ( Fix64 )(-132.43f)); Quat q = Quat.Euler(45, -23, -48.88f); Quat q2 = Quat.Euler(23, -78, -132.43f); FVec3 fv = new FVec3(12.5f, 9, 8); FVec3 fv2 = new FVec3(1, 0, 0); Vec3 v = new Vec3(12.5f, 9, 8); Vec3 v2 = new Vec3(1, 0, 0); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); this._output.WriteLine(fq2.ToString()); this._output.WriteLine(q2.ToString()); Fix64 fa = FQuat.Angle(fq, fq2); float a = Quat.Angle(q, q2); this._output.WriteLine(fa.ToString()); this._output.WriteLine(a.ToString()); fq = FQuat.AngleAxis(( Fix64 )(-123.324), fv); q = Quat.AngleAxis(-123.324f, v); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fa = FQuat.Dot(fq, fq2); a = Quat.Dot(q, q2); this._output.WriteLine(fa.ToString()); this._output.WriteLine(a.ToString()); fq = FQuat.FromToRotation(FVec3.Normalize(fv), fv2); q = Quat.FromToRotation(Vec3.Normalize(v), v2); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq = FQuat.Lerp(fq, fq2, ( Fix64 )0.66); q = Quat.Lerp(q, q2, 0.66f); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq = FQuat.Normalize(fq); q.Normalize(); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq.Inverse(); q = Quat.Inverse(q); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fv = FQuat.Orthogonal(fv); v = Quat.Orthogonal(v); this._output.WriteLine(fv.ToString()); this._output.WriteLine(v.ToString()); fq = FQuat.Slerp(fq, fq2, ( Fix64 )0.66); q = Quat.Slerp(q, q2, 0.66f); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq = FQuat.LookRotation(FVec3.Normalize(fv), fv2); q = Quat.LookRotation(Vec3.Normalize(v), v2); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq.ToAngleAxis(out fa, out fv); q.ToAngleAxis(out a, out v); this._output.WriteLine(fa.ToString()); this._output.WriteLine(a.ToString()); this._output.WriteLine(fv.ToString()); this._output.WriteLine(v.ToString()); fq = fq.Conjugate(); q = q.Conjugate(); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); fq.SetLookRotation(FVec3.Normalize(fv), fv2); q.SetLookRotation(Vec3.Normalize(v), v2); this._output.WriteLine(fq.ToString()); this._output.WriteLine(q.ToString()); }