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authorClyne Sullivan <clyne@bitgloo.com>2025-01-29 21:34:25 -0500
committerClyne Sullivan <clyne@bitgloo.com>2025-01-29 21:34:25 -0500
commit5b81bc8ccbd342b8566d88fc9f17a73aec03b5b6 (patch)
treecc57486912cfa74c6440d8b97c28f451ec787d78 /Drivers/CMSIS/DSP/Source/QuaternionMathFunctions
initial commit
Diffstat (limited to 'Drivers/CMSIS/DSP/Source/QuaternionMathFunctions')
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt31
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c34
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c181
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c98
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_inverse_f32.c114
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_norm_f32.c102
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_normalize_f32.c107
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_f32.c149
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_single_f32.c107
-rw-r--r--Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_rotation2quaternion_f32.c225
10 files changed, 1148 insertions, 0 deletions
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..267626f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt
@@ -0,0 +1,31 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPQuaternionMath)
+
+include(configLib)
+include(configDsp)
+
+
+
+add_library(CMSISDSPQuaternionMath STATIC arm_quaternion_norm_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_inverse_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_conjugate_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_normalize_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_product_single_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_product_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion2rotation_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_rotation2quaternion_f32.c)
+
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+endif()
+
+
+configLib(CMSISDSPQuaternionMath ${ROOT})
+configDsp(CMSISDSPQuaternionMath ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPQuaternionMath PUBLIC "${DSP}/Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c
new file mode 100644
index 0000000..7c48178
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c
@@ -0,0 +1,34 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: QuaternionMathFunctions.c
+ * Description: Combination of all quaternion math function source files.
+ *
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_quaternion_norm_f32.c"
+#include "arm_quaternion_inverse_f32.c"
+#include "arm_quaternion_conjugate_f32.c"
+#include "arm_quaternion_normalize_f32.c"
+#include "arm_quaternion_product_single_f32.c"
+#include "arm_quaternion_product_f32.c"
+#include "arm_quaternion2rotation_f32.c"
+#include "arm_rotation2quaternion_f32.c"
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c
new file mode 100644
index 0000000..2105341
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c
@@ -0,0 +1,181 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion2rotation_f32.c
+ * Description: Floating-point quaternion 2 rotation conversion
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatConv Quaternion conversions
+
+ Conversions between quaternion and rotation representations.
+ */
+
+/**
+ @ingroup QuatConv
+ */
+
+/**
+ @defgroup QuatRot Quaternion to Rotation
+
+ Conversions from quaternion to rotation.
+ */
+
+/**
+ @addtogroup QuatRot
+ @{
+ */
+
+/**
+ @brief Conversion of quaternion to equivalent rotation matrix.
+ @param[in] pInputQuaternions points to an array of normalized quaternions
+ @param[out] pOutputRotations points to an array of 3x3 rotations (in row order)
+ @param[in] nbQuaternions number of quaternions in the array
+ @return none.
+
+ @par
+ Format of rotation matrix
+
+
+ The quaternion a + ib + jc + kd is converted into rotation matrix:
+ <pre>
+ a^2 + b^2 - c^2 - d^2 2bc - 2ad 2bd + 2ac
+ 2bc + 2ad a^2 - b^2 + c^2 - d^2 2cd - 2ab
+ 2bd - 2ac 2cd + 2ab a^2 - b^2 - c^2 + d^2
+ </pre>
+ Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions,
+ float32_t *pOutputRotations,
+ uint32_t nbQuaternions)
+{
+ f32x4_t vec0,vec1, vec2 ,vec3;
+ float32_t q2q3, tmp1, tmp2 ;
+
+ for(uint32_t nb=0; nb < nbQuaternions; nb++)
+ {
+
+ // q0 q1 q2 q3
+ vec0 = vld1q(pInputQuaternions);
+
+ // q0^2 q1^2 q2^2 q3^2
+ vec1 = vmulq(vec0,vec0);
+
+ // q0^2 q1q0 q2q0 q3q0
+ vec2 = vmulq_n_f32(vec0, vgetq_lane(vec0,0));
+
+ // 2 (q0^2 q1q0 q2q0 q3q0)
+ vec2 = vmulq_n_f32(vec2, 2.0f);
+
+
+ // 2 q2q3
+ q2q3 = vgetq_lane(vec0,2) * vgetq_lane(vec0,3);
+ q2q3 = q2q3 * 2.0f;
+
+ // 2 (q0q1 q1^2 q2q1 q3q1)
+ vec3 = vmulq_n_f32(vec0, vgetq_lane(vec0,1));
+ vec3 = vmulq_n_f32(vec3, 2.0f);
+
+
+
+ vec0 = vsetq_lane(vgetq_lane(vec1,0) + vgetq_lane(vec1,1),vec0,0);
+ vec0 = vsetq_lane(vgetq_lane(vec0,0) - vgetq_lane(vec1,2),vec0,0);
+ vec0 = vsetq_lane(vgetq_lane(vec0,0) - vgetq_lane(vec1,3),vec0,0);
+ vec0 = vsetq_lane(vgetq_lane(vec3,2) - vgetq_lane(vec2,3),vec0,1);
+ vec0 = vsetq_lane(vgetq_lane(vec3,3) + vgetq_lane(vec2,2),vec0,2);
+ vec0 = vsetq_lane(vgetq_lane(vec3,2) + vgetq_lane(vec2,3),vec0,3);
+
+ vst1q(pOutputRotations, vec0);
+ pOutputRotations += 4;
+
+ tmp1 = vgetq_lane(vec1,0) - vgetq_lane(vec1,1);
+ tmp2 = vgetq_lane(vec1,2) - vgetq_lane(vec1,3);
+
+
+ vec0 = vsetq_lane(tmp1 + tmp2,vec0,0);
+ vec0 = vsetq_lane(q2q3 - vgetq_lane(vec2,1) ,vec0,1);
+ vec0 = vsetq_lane(vgetq_lane(vec3,3) - vgetq_lane(vec2,2),vec0,2);
+ vec0 = vsetq_lane(q2q3 + vgetq_lane(vec2,1) ,vec0,3);
+
+ vst1q(pOutputRotations, vec0);
+ pOutputRotations += 4;
+
+ *pOutputRotations = tmp1 - tmp2;
+ pOutputRotations ++;
+
+ pInputQuaternions += 4;
+ }
+}
+
+#else
+void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions,
+ float32_t *pOutputRotations,
+ uint32_t nbQuaternions)
+{
+ uint32_t nb;
+ for(nb=0; nb < nbQuaternions; nb++)
+ {
+ float32_t q00 = SQ(pInputQuaternions[0 + nb * 4]);
+ float32_t q11 = SQ(pInputQuaternions[1 + nb * 4]);
+ float32_t q22 = SQ(pInputQuaternions[2 + nb * 4]);
+ float32_t q33 = SQ(pInputQuaternions[3 + nb * 4]);
+ float32_t q01 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[1 + nb * 4];
+ float32_t q02 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[2 + nb * 4];
+ float32_t q03 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[3 + nb * 4];
+ float32_t q12 = pInputQuaternions[1 + nb * 4]*pInputQuaternions[2 + nb * 4];
+ float32_t q13 = pInputQuaternions[1 + nb * 4]*pInputQuaternions[3 + nb * 4];
+ float32_t q23 = pInputQuaternions[2 + nb * 4]*pInputQuaternions[3 + nb * 4];
+
+ float32_t xx = q00 + q11 - q22 - q33;
+ float32_t yy = q00 - q11 + q22 - q33;
+ float32_t zz = q00 - q11 - q22 + q33;
+ float32_t xy = 2*(q12 - q03);
+ float32_t xz = 2*(q13 + q02);
+ float32_t yx = 2*(q12 + q03);
+ float32_t yz = 2*(q23 - q01);
+ float32_t zx = 2*(q13 - q02);
+ float32_t zy = 2*(q23 + q01);
+
+ pOutputRotations[0 + nb * 9] = xx; pOutputRotations[1 + nb * 9] = xy; pOutputRotations[2 + nb * 9] = xz;
+ pOutputRotations[3 + nb * 9] = yx; pOutputRotations[4 + nb * 9] = yy; pOutputRotations[5 + nb * 9] = yz;
+ pOutputRotations[6 + nb * 9] = zx; pOutputRotations[7 + nb * 9] = zy; pOutputRotations[8 + nb * 9] = zz;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatRot group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c
new file mode 100644
index 0000000..213a5bb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_conjugate_f32.c
+ * Description: Floating-point quaternion conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatConjugate Quaternion Conjugate
+
+ Compute the conjugate of a quaternion.
+ */
+
+/**
+ @addtogroup QuatConjugate
+ @{
+ */
+
+/**
+ @brief Floating-point quaternion conjugates.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pConjugateQuaternions points to the output vector of conjugate quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+void arm_quaternion_conjugate_f32(const float32_t *pInputQuaternions,
+ float32_t *pConjugateQuaternions,
+ uint32_t nbQuaternions)
+{
+ f32x4_t vec1;
+
+ for(uint32_t i=0; i < nbQuaternions; i++)
+ {
+ vec1 = vld1q(pInputQuaternions);
+
+
+ vec1 = vsetq_lane_f32(-vgetq_lane(vec1, 0),vec1,0);
+ vec1 = vnegq_f32(vec1);
+
+ vst1q(pConjugateQuaternions, vec1);
+
+
+ pInputQuaternions += 4;
+ pConjugateQuaternions += 4;
+ }
+}
+#else
+void arm_quaternion_conjugate_f32(const float32_t *pInputQuaternions,
+ float32_t *pConjugateQuaternions,
+ uint32_t nbQuaternions)
+{
+ uint32_t i;
+ for(i=0; i < nbQuaternions; i++)
+ {
+
+ pConjugateQuaternions[4 * i + 0] = pInputQuaternions[4 * i + 0];
+ pConjugateQuaternions[4 * i + 1] = -pInputQuaternions[4 * i + 1];
+ pConjugateQuaternions[4 * i + 2] = -pInputQuaternions[4 * i + 2];
+ pConjugateQuaternions[4 * i + 3] = -pInputQuaternions[4 * i + 3];
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatConjugate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_inverse_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_inverse_f32.c
new file mode 100644
index 0000000..d82bbbf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_inverse_f32.c
@@ -0,0 +1,114 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_inverse_f32.c
+ * Description: Floating-point quaternion inverse
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatInverse Quaternion Inverse
+
+ Compute the inverse of a quaternion.
+ */
+
+/**
+ @addtogroup QuatInverse
+ @{
+ */
+
+/**
+ @brief Floating-point quaternion inverse.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pInverseQuaternions points to the output vector of inverse quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions,
+ float32_t *pInverseQuaternions,
+ uint32_t nbQuaternions)
+{
+ f32x4_t vec1,vec2;
+ float32_t squaredSum;
+
+ for(uint32_t i=0; i < nbQuaternions; i++)
+ {
+
+ vec1 = vld1q(pInputQuaternions);
+ vec2 = vmulq(vec1,vec1);
+ squaredSum = vecAddAcrossF32Mve(vec2);
+
+
+ vec1 = vmulq_n_f32(vec1, 1.0f / squaredSum);
+ vec1 = vsetq_lane_f32(-vgetq_lane(vec1, 0),vec1,0);
+ vec1 = vnegq_f32(vec1);
+
+ vst1q(pInverseQuaternions, vec1);
+
+
+ pInputQuaternions += 4;
+ pInverseQuaternions += 4;
+
+ }
+}
+
+#else
+void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions,
+ float32_t *pInverseQuaternions,
+ uint32_t nbQuaternions)
+{
+ float32_t temp;
+
+ uint32_t i;
+ for(i=0; i < nbQuaternions; i++)
+ {
+
+ temp = SQ(pInputQuaternions[4 * i + 0]) +
+ SQ(pInputQuaternions[4 * i + 1]) +
+ SQ(pInputQuaternions[4 * i + 2]) +
+ SQ(pInputQuaternions[4 * i + 3]);
+
+ pInverseQuaternions[4 * i + 0] = pInputQuaternions[4 * i + 0] / temp;
+ pInverseQuaternions[4 * i + 1] = -pInputQuaternions[4 * i + 1] / temp;
+ pInverseQuaternions[4 * i + 2] = -pInputQuaternions[4 * i + 2] / temp;
+ pInverseQuaternions[4 * i + 3] = -pInputQuaternions[4 * i + 3] / temp;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatInverse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_norm_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_norm_f32.c
new file mode 100644
index 0000000..af6653a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_norm_f32.c
@@ -0,0 +1,102 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_norm_f32.c
+ * Description: Floating-point quaternion Norm
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatNorm Quaternion Norm
+
+ Compute the norm of a quaternion.
+ */
+
+/**
+ @addtogroup QuatNorm
+ @{
+ */
+
+/**
+ @brief Floating-point quaternion Norm.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pNorms points to the output vector of norms
+ @param[in] nbQuaternions number of quaternions in the input vector
+ @return none
+ */
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_quaternion_norm_f32(const float32_t *pInputQuaternions,
+ float32_t *pNorms,
+ uint32_t nbQuaternions)
+{
+ f32x4_t vec1;
+ float32_t squaredSum;
+
+ for(uint32_t i=0; i < nbQuaternions; i++)
+ {
+ vec1 = vld1q(pInputQuaternions);
+ vec1 = vmulq(vec1,vec1);
+ squaredSum = vecAddAcrossF32Mve(vec1);
+ arm_sqrt_f32(squaredSum,pNorms);
+
+ pInputQuaternions+= 4;
+ pNorms ++;
+ }
+
+}
+
+#else
+
+void arm_quaternion_norm_f32(const float32_t *pInputQuaternions,
+ float32_t *pNorms,
+ uint32_t nbQuaternions)
+{
+ float32_t temp;
+ uint32_t i;
+
+ for(i=0; i < nbQuaternions; i++)
+ {
+ temp = SQ(pInputQuaternions[4 * i + 0]) +
+ SQ(pInputQuaternions[4 * i + 1]) +
+ SQ(pInputQuaternions[4 * i + 2]) +
+ SQ(pInputQuaternions[4 * i + 3]);
+ pNorms[i] = sqrtf(temp);
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatNorm group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_normalize_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_normalize_f32.c
new file mode 100644
index 0000000..605e558
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_normalize_f32.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_normalize_f32.c
+ * Description: Floating-point quaternion normalization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatNormalized Quaternion normalization
+
+ Compute a normalized quaternion.
+ */
+
+/**
+ @addtogroup QuatNormalized
+ @{
+ */
+
+/**
+ @brief Floating-point normalization of quaternions.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pNormalizedQuaternions points to the output vector of normalized quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_quaternion_normalize_f32(const float32_t *pInputQuaternions,
+ float32_t *pNormalizedQuaternions,
+ uint32_t nbQuaternions)
+{
+ f32x4_t vec1,vec2;
+ float32_t squaredSum,norm;
+
+ for(uint32_t i=0; i < nbQuaternions; i++)
+ {
+ vec1 = vld1q(pInputQuaternions);
+ vec2 = vmulq(vec1,vec1);
+ squaredSum = vecAddAcrossF32Mve(vec2);
+ arm_sqrt_f32(squaredSum,&norm);
+ vec1 = vmulq_n_f32(vec1, 1.0f / norm);
+ vst1q(pNormalizedQuaternions, vec1);
+
+ pInputQuaternions += 4;
+ pNormalizedQuaternions += 4;
+
+ }
+}
+
+#else
+void arm_quaternion_normalize_f32(const float32_t *pInputQuaternions,
+ float32_t *pNormalizedQuaternions,
+ uint32_t nbQuaternions)
+{
+ float32_t temp;
+
+ uint32_t i;
+ for(i=0; i < nbQuaternions; i++)
+ {
+ temp = SQ(pInputQuaternions[4 * i + 0]) +
+ SQ(pInputQuaternions[4 * i + 1]) +
+ SQ(pInputQuaternions[4 * i + 2]) +
+ SQ(pInputQuaternions[4 * i + 3]);
+ temp = sqrtf(temp);
+
+ pNormalizedQuaternions[4 * i + 0] = pInputQuaternions[4 * i + 0] / temp;
+ pNormalizedQuaternions[4 * i + 1] = pInputQuaternions[4 * i + 1] / temp;
+ pNormalizedQuaternions[4 * i + 2] = pInputQuaternions[4 * i + 2] / temp;
+ pNormalizedQuaternions[4 * i + 3] = pInputQuaternions[4 * i + 3] / temp;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatNormalized group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_f32.c
new file mode 100644
index 0000000..83ebf5e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_f32.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_product_f32.c
+ * Description: Floating-point quaternion product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+/**
+ @ingroup groupQuaternionMath
+ */
+
+/**
+ @defgroup QuatProd Quaternion Product
+
+ Compute the product of quaternions.
+ */
+
+/**
+ @ingroup QuatProd
+ */
+
+/**
+ @defgroup QuatProdVect Elementwise Quaternion Product
+
+ Compute the elementwise product of quaternions.
+ */
+
+/**
+ @addtogroup QuatProdVect
+ @{
+ */
+
+/**
+ @brief Floating-point elementwise product two quaternions.
+ @param[in] qa first array of quaternions
+ @param[in] qb second array of quaternions
+ @param[out] qr elementwise product of quaternions
+ @param[in] nbQuaternions number of quaternions in the array
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_quaternion_product_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *qr,
+ uint32_t nbQuaternions)
+{
+ static uint32_t patternA[4] = { 0, 1, 0, 1 };
+ static uint32_t patternB[4] = { 3, 2, 3, 2 };
+ static uint32_t patternC[4] = { 3, 2, 1, 0 };
+ static float32_t signA[4] = { -1, -1, 1, 1 };
+
+ uint32x4_t vecA = vld1q_u32(patternA);
+ uint32x4_t vecB = vld1q_u32(patternB);
+ uint32x4_t vecC = vld1q_u32(patternC);
+ f32x4_t vecSignA = vld1q_f32(signA);
+
+ while (nbQuaternions > 0U)
+ {
+ f32x4_t vecTmpA, vecTmpB, vecAcc;
+
+ vecTmpA = vldrwq_gather_shifted_offset_f32(qa, vecA);
+ vecTmpB = vld1q(qb);
+ /*
+ * vcmul(r, [a1, a2, a1, a2], [b1, b2, b3, b4], 0)
+ */
+ vecAcc = vcmulq(vecTmpA, vecTmpB);
+ /*
+ * vcmla(r, [a1, a2, a1, a2], [b1, b2, b3, b4], 90)
+ */
+ vecAcc = vcmlaq_rot90(vecAcc, vecTmpA, vecTmpB);
+
+ vecTmpA = vldrwq_gather_shifted_offset_f32(qa, vecB);
+ vecTmpB = vldrwq_gather_shifted_offset_f32(qb, vecC);
+ /*
+ * build [-b4, -b3, b2, b1]
+ */
+ vecTmpB = vecTmpB * vecSignA;
+ /*
+ * vcmla(r, [a4, a3, a4, a3], [-b4, -b3, b2, b1], 270)
+ */
+ vecAcc = vcmlaq_rot270(vecAcc, vecTmpA, vecTmpB);
+ /*
+ * vcmla(r, [a4, a3, a4, a3], [-b4, -b3, b2, b1], 0)
+ */
+ vecAcc = vcmlaq(vecAcc, vecTmpA, vecTmpB);
+ /*
+ * store accumulator
+ */
+ vst1q_f32(qr, vecAcc);
+
+ /* move to next quaternion */
+ qa += 4;
+ qb += 4;
+ qr += 4;
+
+ nbQuaternions--;
+ }
+}
+
+#else
+
+void arm_quaternion_product_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *qr,
+ uint32_t nbQuaternions)
+{
+ uint32_t i;
+ for(i=0; i < nbQuaternions; i++)
+ {
+ arm_quaternion_product_single_f32(qa, qb, qr);
+
+ qa += 4;
+ qb += 4;
+ qr += 4;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatProdVect group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_single_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_single_f32.c
new file mode 100644
index 0000000..96f23e9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_product_single_f32.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion_product_single_f32.c
+ * Description: Floating-point quaternion product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+
+/**
+ @ingroup QuatProd
+ */
+
+/**
+ @defgroup QuatProdSingle Quaternion Product
+
+ Compute the product of two quaternions.
+ */
+
+/**
+ @addtogroup QuatProdSingle
+ @{
+ */
+
+/**
+ @brief Floating-point product of two quaternions.
+ @param[in] qa first quaternion
+ @param[in] qb second quaternion
+ @param[out] qr product of two quaternions
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+void arm_quaternion_product_single_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *qr)
+{
+ static uint32_t patternA[4] = { 0, 1, 0, 1 };
+ static uint32_t patternB[4] = { 3, 2, 3, 2 };
+ static uint32_t patternC[4] = { 3, 2, 1, 0 };
+ static float32_t signA[4] = { -1, -1, 1, 1 };
+
+ uint32x4_t vecA = vld1q_u32(patternA);
+ uint32x4_t vecB = vld1q_u32(patternB);
+ uint32x4_t vecC = vld1q_u32(patternC);
+ f32x4_t vecSignA = vld1q_f32(signA);
+
+
+ f32x4_t vecTmpA, vecTmpB, vecAcc;
+
+ vecTmpA = vldrwq_gather_shifted_offset_f32(qa, vecA);
+ vecTmpB = vld1q_f32(qb);
+
+ vecAcc = vcmulq_f32(vecTmpA, vecTmpB);
+ vecAcc = vcmlaq_rot90_f32(vecAcc, vecTmpA, vecTmpB);
+
+ vecTmpA = vldrwq_gather_shifted_offset_f32(qa, vecB);
+ vecTmpB = vldrwq_gather_shifted_offset_f32(qb, vecC);
+
+ vecTmpB = vecTmpB * vecSignA;
+
+ vecAcc = vcmlaq_rot270_f32(vecAcc, vecTmpA, vecTmpB);
+ vecAcc = vcmlaq_f32(vecAcc, vecTmpA, vecTmpB);
+
+ vst1q_f32(qr, vecAcc);
+}
+
+#else
+void arm_quaternion_product_single_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *qr)
+{
+ qr[0] = qa[0] * qb[0] - qa[1] * qb[1] - qa[2] * qb[2] - qa[3] * qb[3];
+ qr[1] = qa[0] * qb[1] + qa[1] * qb[0] + qa[2] * qb[3] - qa[3] * qb[2];
+ qr[2] = qa[0] * qb[2] + qa[2] * qb[0] + qa[3] * qb[1] - qa[1] * qb[3];
+ qr[3] = qa[0] * qb[3] + qa[3] * qb[0] + qa[1] * qb[2] - qa[2] * qb[1];
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of QuatProdSingle group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_rotation2quaternion_f32.c b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_rotation2quaternion_f32.c
new file mode 100644
index 0000000..5d57492
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_rotation2quaternion_f32.c
@@ -0,0 +1,225 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rotation2quaternion_f32.c
+ * Description: Floating-point rotation to quaternion conversion
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include <math.h>
+
+#define RI(x,y) r[(3*(x) + (y))]
+
+
+/**
+ @ingroup QuatConv
+ */
+
+/**
+ @defgroup RotQuat Rotation to Quaternion
+
+ Conversions from rotation to quaternion.
+ */
+
+/**
+ @addtogroup RotQuat
+ @{
+ */
+
+/**
+ * @brief Conversion of a rotation matrix to an equivalent quaternion.
+ * @param[in] pInputRotations points to an array 3x3 rotation matrix (in row order)
+ * @param[out] pOutputQuaternions points to an array quaternions
+ * @param[in] nbQuaternions number of quaternions in the array
+ * @return none.
+ *
+ * q and -q are representing the same rotation. This ambiguity must be taken into
+ * account when using the output of this function.
+ *
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+#define R00 vgetq_lane(q1,0)
+#define R01 vgetq_lane(q1,1)
+#define R02 vgetq_lane(q1,2)
+#define R10 vgetq_lane(q1,3)
+#define R11 vgetq_lane(q2,0)
+#define R12 vgetq_lane(q2,1)
+#define R20 vgetq_lane(q2,2)
+#define R21 vgetq_lane(q2,3)
+#define R22 ro22
+
+void arm_rotation2quaternion_f32(const float32_t *pInputRotations,
+ float32_t *pOutputQuaternions,
+ uint32_t nbQuaternions)
+{
+ float32_t ro22, trace;
+ f32x4_t q1,q2, q;
+
+ float32_t doubler;
+ float32_t s;
+
+ q = vdupq_n_f32(0.0f);
+
+ for(uint32_t nb=0; nb < nbQuaternions; nb++)
+ {
+ q1 = vld1q(pInputRotations);
+ pInputRotations += 4;
+
+ q2 = vld1q(pInputRotations);
+ pInputRotations += 4;
+
+ ro22 = *pInputRotations++;
+
+ trace = R00 + R11 + R22;
+
+
+ if (trace > 0)
+ {
+ (void)arm_sqrt_f32(trace + 1.0f, &doubler) ; // invs=4*qw
+ doubler = 2.0f*doubler;
+ s = 1.0f / doubler;
+
+ q1 = vmulq_n_f32(q1,s);
+ q2 = vmulq_n_f32(q2,s);
+
+ q[0] = 0.25f * doubler;
+ q[1] = R21 - R12;
+ q[2] = R02 - R20;
+ q[3] = R10 - R01;
+ }
+ else if ((R00 > R11) && (R00 > R22) )
+ {
+ (void)arm_sqrt_f32(1.0f + R00 - R11 - R22,&doubler); // invs=4*qx
+ doubler = 2.0f*doubler;
+ s = 1.0f / doubler;
+
+ q1 = vmulq_n_f32(q1,s);
+ q2 = vmulq_n_f32(q2,s);
+
+ q[0] = R21 - R12;
+ q[1] = 0.25f * doubler;
+ q[2] = R01 + R10;
+ q[3] = R02 + R20;
+ }
+ else if (R11 > R22)
+ {
+ (void)arm_sqrt_f32(1.0f + R11 - R00 - R22,&doubler); // invs=4*qy
+ doubler = 2.0f*doubler;
+ s = 1.0f / doubler;
+
+ q1 = vmulq_n_f32(q1,s);
+ q2 = vmulq_n_f32(q2,s);
+
+ q[0] = R02 - R20;
+ q[1] = R01 + R10;
+ q[2] = 0.25f * doubler;
+ q[3] = R12 + R21;
+ }
+ else
+ {
+ (void)arm_sqrt_f32(1.0f + R22 - R00 - R11,&doubler); // invs=4*qz
+ doubler = 2.0f*doubler;
+ s = 1.0f / doubler;
+
+ q1 = vmulq_n_f32(q1,s);
+ q2 = vmulq_n_f32(q2,s);
+
+ q[0] = R10 - R01;
+ q[1] = R02 + R20;
+ q[2] = R12 + R21;
+ q[3] = 0.25f * doubler;
+ }
+
+ vst1q(pOutputQuaternions, q);
+ pOutputQuaternions += 4;
+
+ }
+}
+
+#else
+void arm_rotation2quaternion_f32(const float32_t *pInputRotations,
+ float32_t *pOutputQuaternions,
+ uint32_t nbQuaternions)
+{
+ uint32_t nb;
+ for(nb=0; nb < nbQuaternions; nb++)
+ {
+ const float32_t *r=&pInputRotations[nb*9];
+ float32_t *q=&pOutputQuaternions[nb*4];
+
+ float32_t trace = RI(0,0) + RI(1,1) + RI(2,2);
+
+ float32_t doubler;
+ float32_t s;
+
+
+
+ if (trace > 0.0f)
+ {
+ doubler = sqrtf(trace + 1.0f) * 2.0f; // invs=4*qw
+ s = 1.0f / doubler;
+ q[0] = 0.25f * doubler;
+ q[1] = (RI(2,1) - RI(1,2)) * s;
+ q[2] = (RI(0,2) - RI(2,0)) * s;
+ q[3] = (RI(1,0) - RI(0,1)) * s;
+ }
+ else if ((RI(0,0) > RI(1,1)) && (RI(0,0) > RI(2,2)) )
+ {
+ doubler = sqrtf(1.0f + RI(0,0) - RI(1,1) - RI(2,2)) * 2.0f; // invs=4*qx
+ s = 1.0f / doubler;
+ q[0] = (RI(2,1) - RI(1,2)) * s;
+ q[1] = 0.25f * doubler;
+ q[2] = (RI(0,1) + RI(1,0)) * s;
+ q[3] = (RI(0,2) + RI(2,0)) * s;
+ }
+ else if (RI(1,1) > RI(2,2))
+ {
+ doubler = sqrtf(1.0f + RI(1,1) - RI(0,0) - RI(2,2)) * 2.0f; // invs=4*qy
+ s = 1.0f / doubler;
+ q[0] = (RI(0,2) - RI(2,0)) * s;
+ q[1] = (RI(0,1) + RI(1,0)) * s;
+ q[2] = 0.25f * doubler;
+ q[3] = (RI(1,2) + RI(2,1)) * s;
+ }
+ else
+ {
+ doubler = sqrtf(1.0f + RI(2,2) - RI(0,0) - RI(1,1)) * 2.0f; // invs=4*qz
+ s = 1.0f / doubler;
+ q[0] = (RI(1,0) - RI(0,1)) * s;
+ q[1] = (RI(0,2) + RI(2,0)) * s;
+ q[2] = (RI(1,2) + RI(2,1)) * s;
+ q[3] = 0.25f * doubler;
+ }
+
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of RotQuat group
+ */