/**************************************************************************** * * Copyright (C) 2012 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3. Neither the name PX4 nor the names of its contributors may be * used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * ****************************************************************************/ /** * @file Dcm.cpp * * math direction cosine matrix */ #include #include "Dcm.hpp" #include "Quaternion.hpp" #include "EulerAngles.hpp" #include "Vector3.hpp" namespace math { Dcm::Dcm() : Matrix(Matrix::identity(3)) { } Dcm::Dcm(const float *data) : Matrix(3, 3, data) { } Dcm::Dcm(const Quaternion &q) : Matrix(3, 3) { Dcm &dcm = *this; float a = q.getA(); float b = q.getB(); float c = q.getC(); float d = q.getD(); float aSq = a * a; float bSq = b * b; float cSq = c * c; float dSq = d * d; dcm(0, 0) = aSq + bSq - cSq - dSq; dcm(0, 1) = 2 * (b * c - a * d); dcm(0, 2) = 2 * (a * c + b * d); dcm(1, 0) = 2 * (b * c + a * d); dcm(1, 1) = aSq - bSq + cSq - dSq; dcm(1, 2) = 2 * (c * d - a * b); dcm(2, 0) = 2 * (b * d - a * c); dcm(2, 1) = 2 * (a * b + c * d); dcm(2, 2) = aSq - bSq - cSq + dSq; } Dcm::Dcm(const EulerAngles &euler) : Matrix(3, 3) { Dcm &dcm = *this; float cosPhi = cosf(euler.getPhi()); float sinPhi = sinf(euler.getPhi()); float cosThe = cosf(euler.getTheta()); float sinThe = sinf(euler.getTheta()); float cosPsi = cosf(euler.getPsi()); float sinPsi = sinf(euler.getPsi()); dcm(0, 0) = cosThe * cosPsi; dcm(0, 1) = -cosPhi * sinPsi + sinPhi * sinThe * cosPsi; dcm(0, 2) = sinPhi * sinPsi + cosPhi * sinThe * cosPsi; dcm(1, 0) = cosThe * sinPsi; dcm(1, 1) = cosPhi * cosPsi + sinPhi * sinThe * sinPsi; dcm(1, 2) = -sinPhi * cosPsi + cosPhi * sinThe * sinPsi; dcm(2, 0) = -sinThe; dcm(2, 1) = sinPhi * cosThe; dcm(2, 2) = cosPhi * cosThe; } Dcm::Dcm(const Dcm &right) : Matrix(right) { } Dcm::~Dcm() { } int __EXPORT dcmTest() { printf("Test DCM\t\t: "); Vector3 vB(1, 2, 3); ASSERT(matrixEqual(Dcm(Quaternion(1, 0, 0, 0)), Matrix::identity(3))); ASSERT(matrixEqual(Dcm(EulerAngles(0, 0, 0)), Matrix::identity(3))); ASSERT(vectorEqual(Vector3(-2, 1, 3), Dcm(EulerAngles(0, 0, M_PI_2_F))*vB)); ASSERT(vectorEqual(Vector3(3, 2, -1), Dcm(EulerAngles(0, M_PI_2_F, 0))*vB)); ASSERT(vectorEqual(Vector3(1, -3, 2), Dcm(EulerAngles(M_PI_2_F, 0, 0))*vB)); ASSERT(vectorEqual(Vector3(3, 2, -1), Dcm(EulerAngles( M_PI_2_F, M_PI_2_F, M_PI_2_F))*vB)); printf("PASS\n"); return 0; } } // namespace math