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+/****************************************************************************
+ *
+ * Copyright (C) 2012 PX4 Development Team. All rights reserved.
+ * Author: @author Lorenz Meier <lm@inf.ethz.ch>
+ *
+ * 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 conversions.c
+ * Implementation of commonly used conversions.
+ */
+
+#include <nuttx/config.h>
+#include <float.h>
+
+#include "conversions.h"
+
+int16_t
+int16_t_from_bytes(uint8_t bytes[])
+{
+ union {
+ uint8_t b[2];
+ int16_t w;
+ } u;
+
+ u.b[1] = bytes[0];
+ u.b[0] = bytes[1];
+
+ return u.w;
+}
+
+void rot2quat(const float R[9], float Q[4])
+{
+ float q0_2;
+ float q1_2;
+ float q2_2;
+ float q3_2;
+ int32_t idx;
+
+ /* conversion of rotation matrix to quaternion
+ * choose the largest component to begin with */
+ q0_2 = (((1.0F + R[0]) + R[4]) + R[8]) / 4.0F;
+ q1_2 = (((1.0F + R[0]) - R[4]) - R[8]) / 4.0F;
+ q2_2 = (((1.0F - R[0]) + R[4]) - R[8]) / 4.0F;
+ q3_2 = (((1.0F - R[0]) - R[4]) + R[8]) / 4.0F;
+
+ idx = 0;
+
+ if (q0_2 < q1_2) {
+ q0_2 = q1_2;
+
+ idx = 1;
+ }
+
+ if (q0_2 < q2_2) {
+ q0_2 = q2_2;
+ idx = 2;
+ }
+
+ if (q0_2 < q3_2) {
+ q0_2 = q3_2;
+ idx = 3;
+ }
+
+ q0_2 = sqrtf(q0_2);
+
+ /* solve for the remaining three components */
+ if (idx == 0) {
+ q1_2 = q0_2;
+ q2_2 = (R[5] - R[7]) / 4.0F / q0_2;
+ q3_2 = (R[6] - R[2]) / 4.0F / q0_2;
+ q0_2 = (R[1] - R[3]) / 4.0F / q0_2;
+
+ } else if (idx == 1) {
+ q2_2 = q0_2;
+ q1_2 = (R[5] - R[7]) / 4.0F / q0_2;
+ q3_2 = (R[3] + R[1]) / 4.0F / q0_2;
+ q0_2 = (R[6] + R[2]) / 4.0F / q0_2;
+
+ } else if (idx == 2) {
+ q3_2 = q0_2;
+ q1_2 = (R[6] - R[2]) / 4.0F / q0_2;
+ q2_2 = (R[3] + R[1]) / 4.0F / q0_2;
+ q0_2 = (R[7] + R[5]) / 4.0F / q0_2;
+
+ } else {
+ q1_2 = (R[1] - R[3]) / 4.0F / q0_2;
+ q2_2 = (R[6] + R[2]) / 4.0F / q0_2;
+ q3_2 = (R[7] + R[5]) / 4.0F / q0_2;
+ }
+
+ /* return values */
+ Q[0] = q1_2;
+ Q[1] = q2_2;
+ Q[2] = q3_2;
+ Q[3] = q0_2;
+}
+
+void quat2rot(const float Q[4], float R[9])
+{
+ float q0_2;
+ float q1_2;
+ float q2_2;
+ float q3_2;
+
+ memset(&R[0], 0, 9U * sizeof(float));
+
+ q0_2 = Q[0] * Q[0];
+ q1_2 = Q[1] * Q[1];
+ q2_2 = Q[2] * Q[2];
+ q3_2 = Q[3] * Q[3];
+
+ R[0] = ((q0_2 + q1_2) - q2_2) - q3_2;
+ R[3] = 2.0F * (Q[1] * Q[2] - Q[0] * Q[3]);
+ R[6] = 2.0F * (Q[1] * Q[3] + Q[0] * Q[2]);
+ R[1] = 2.0F * (Q[1] * Q[2] + Q[0] * Q[3]);
+ R[4] = ((q0_2 + q2_2) - q1_2) - q3_2;
+ R[7] = 2.0F * (Q[2] * Q[3] - Q[0] * Q[1]);
+ R[2] = 2.0F * (Q[1] * Q[3] - Q[0] * Q[2]);
+ R[5] = 2.0F * (Q[2] * Q[3] + Q[0] * Q[1]);
+ R[8] = ((q0_2 + q3_2) - q1_2) - q2_2;
+}
+
+float get_air_density(float static_pressure, float temperature_celsius)
+{
+ return static_pressure / (CONSTANTS_AIR_GAS_CONST * (temperature_celsius - CONSTANTS_ABSOLUTE_NULL_CELSIUS));
+}