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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_var_f32.c
+ * Description: Variance of the elements of a floating-point vector
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 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_math.h"
+
+/**
+ @ingroup groupStats
+ */
+
+/**
+ @defgroup variance Variance
+
+ Calculates the variance of the elements in the input vector.
+ The underlying algorithm used is the direct method sometimes referred to as the two-pass method:
+
+ <pre>
+ Result = sum(element - meanOfElements)^2) / numElement - 1
+
+ meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
+ </pre>
+
+ There are separate functions for floating point, Q31, and Q15 data types.
+ */
+
+/**
+ @addtogroup variance
+ @{
+ */
+
+/**
+ @brief Variance of the elements of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult variance value returned here
+ @return none
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_var_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult)
+{
+ float32_t mean;
+
+ float32_t sum = 0.0f; /* accumulator */
+ float32_t in; /* Temporary variable to store input value */
+ uint32_t blkCnt; /* loop counter */
+
+ float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */
+ float32x2_t sumV2;
+ float32x4_t inV;
+ float32x4_t avg;
+
+ arm_mean_f32(pSrc,blockSize,&mean);
+ avg = vdupq_n_f32(mean);
+
+ blkCnt = blockSize >> 2U;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U)
+ {
+ /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+ /* Compute Power and then store the result in a temporary variable, sum. */
+ inV = vld1q_f32(pSrc);
+ inV = vsubq_f32(inV, avg);
+ sumV = vmlaq_f32(sumV, inV, inV);
+ pSrc += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+ sum = sumV2[0] + sumV2[1];
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+ /* compute power and then store the result in a temporary variable, sum. */
+ in = *pSrc++;
+ in = in - mean;
+ sum += in * in;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Variance */
+ *pResult = sum / (float32_t)(blockSize - 1.0f);
+
+}
+
+#else
+void arm_var_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t sum = 0.0f; /* Temporary result storage */
+ float32_t fSum = 0.0f;
+ float32_t fMean, fValue;
+ const float32_t * pInput = pSrc;
+
+ if (blockSize <= 1U)
+ {
+ *pResult = 0;
+ return;
+ }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+
+ sum += *pInput++;
+ sum += *pInput++;
+ sum += *pInput++;
+ sum += *pInput++;
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+
+ sum += *pInput++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
+ fMean = sum / (float32_t) blockSize;
+
+ pInput = pSrc;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ fValue = *pInput++ - fMean;
+ fSum += fValue * fValue;
+
+ fValue = *pInput++ - fMean;
+ fSum += fValue * fValue;
+
+ fValue = *pInput++ - fMean;
+ fSum += fValue * fValue;
+
+ fValue = *pInput++ - fMean;
+ fSum += fValue * fValue;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ fValue = *pInput++ - fMean;
+ fSum += fValue * fValue;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Variance */
+ *pResult = fSum / (float32_t)(blockSize - 1.0f);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+ @} end of variance group
+ */