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+/****************************************************************************
+ *
+ * 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 "test/test.hpp"
+
+#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