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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_logsumexp_f32.c
+ * Description: LogSumExp
+ *
+ * $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/statistics_functions.h"
+#include <limits.h>
+#include <math.h>
+
+
+/**
+ * @addtogroup LogSumExp
+ * @{
+ */
+
+
+/**
+ * @brief Computation of the LogSumExp
+ *
+ * In probabilistic computations, the dynamic of the probability values can be very
+ * wide because they come from gaussian functions.
+ * To avoid underflow and overflow issues, the values are represented by their log.
+ * In this representation, multiplying the original exp values is easy : their logs are added.
+ * But adding the original exp values is requiring some special handling and it is the
+ * goal of the LogSumExp function.
+ *
+ * If the values are x1...xn, the function is computing:
+ *
+ * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that
+ * rounding issues are minimised.
+ *
+ * The max xm of the values is extracted and the function is computing:
+ * xm + ln(exp(x1 - xm) + ... + exp(xn - xm))
+ *
+ * @param[in] *in Pointer to an array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return LogSumExp
+ *
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+#include "arm_vec_math.h"
+
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize)
+{
+ float32_t maxVal;
+ const float32_t *pIn;
+ int32_t blkCnt;
+ float32_t accum=0.0f;
+ float32_t tmp;
+
+
+ arm_max_no_idx_f32((float32_t *) in, blockSize, &maxVal);
+
+
+ blkCnt = blockSize;
+ pIn = in;
+
+
+ f32x4_t vSum = vdupq_n_f32(0.0f);
+ blkCnt = blockSize >> 2;
+ while(blkCnt > 0)
+ {
+ f32x4_t vecIn = vld1q(pIn);
+ f32x4_t vecExp;
+
+ vecExp = vexpq_f32(vsubq_n_f32(vecIn, maxVal));
+
+ vSum = vaddq_f32(vSum, vecExp);
+
+ /*
+ * Decrement the blockSize loop counter
+ * Advance vector source and destination pointers
+ */
+ pIn += 4;
+ blkCnt --;
+ }
+
+ /* sum + log */
+ accum = vecAddAcrossF32Mve(vSum);
+
+ blkCnt = blockSize & 0x3;
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+ accum += expf(tmp - maxVal);
+ blkCnt--;
+
+ }
+
+ accum = maxVal + logf(accum);
+
+ return (accum);
+}
+
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "NEMath.h"
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize)
+{
+ float32_t maxVal;
+ float32_t tmp;
+ float32x4_t tmpV, tmpVb;
+ float32x4_t maxValV;
+ uint32x4_t idxV;
+ float32x4_t accumV;
+ float32x2_t accumV2;
+
+ const float32_t *pIn;
+ uint32_t blkCnt;
+ float32_t accum;
+
+ pIn = in;
+
+ blkCnt = blockSize;
+
+ if (blockSize <= 3)
+ {
+ maxVal = *pIn++;
+ blkCnt--;
+
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+
+ if (tmp > maxVal)
+ {
+ maxVal = tmp;
+ }
+ blkCnt--;
+ }
+ }
+ else
+ {
+ maxValV = vld1q_f32(pIn);
+ pIn += 4;
+ blkCnt = (blockSize - 4) >> 2;
+
+ while(blkCnt > 0)
+ {
+ tmpVb = vld1q_f32(pIn);
+ pIn += 4;
+
+ idxV = vcgtq_f32(tmpVb, maxValV);
+ maxValV = vbslq_f32(idxV, tmpVb, maxValV );
+
+ blkCnt--;
+ }
+
+ accumV2 = vpmax_f32(vget_low_f32(maxValV),vget_high_f32(maxValV));
+ accumV2 = vpmax_f32(accumV2,accumV2);
+ maxVal = vget_lane_f32(accumV2, 0) ;
+
+ blkCnt = (blockSize - 4) & 3;
+
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+
+ if (tmp > maxVal)
+ {
+ maxVal = tmp;
+ }
+ blkCnt--;
+ }
+
+ }
+
+
+
+ maxValV = vdupq_n_f32(maxVal);
+ pIn = in;
+ accum = 0;
+ accumV = vdupq_n_f32(0.0f);
+
+ blkCnt = blockSize >> 2;
+
+ while(blkCnt > 0)
+ {
+ tmpV = vld1q_f32(pIn);
+ pIn += 4;
+ tmpV = vsubq_f32(tmpV, maxValV);
+ tmpV = vexpq_f32(tmpV);
+ accumV = vaddq_f32(accumV, tmpV);
+
+ blkCnt--;
+
+ }
+ accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV));
+ accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1);
+
+ blkCnt = blockSize & 0x3;
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+ accum += expf(tmp - maxVal);
+ blkCnt--;
+
+ }
+
+ accum = maxVal + logf(accum);
+
+ return(accum);
+}
+#else
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize)
+{
+ float32_t maxVal;
+ float32_t tmp;
+ const float32_t *pIn;
+ uint32_t blkCnt;
+ float32_t accum;
+
+ pIn = in;
+ blkCnt = blockSize;
+
+ maxVal = *pIn++;
+ blkCnt--;
+
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+
+ if (tmp > maxVal)
+ {
+ maxVal = tmp;
+ }
+ blkCnt--;
+
+ }
+
+ blkCnt = blockSize;
+ pIn = in;
+ accum = 0;
+ while(blkCnt > 0)
+ {
+ tmp = *pIn++;
+ accum += expf(tmp - maxVal);
+ blkCnt--;
+
+ }
+ accum = maxVal + logf(accum);
+
+ return(accum);
+}
+#endif
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of LogSumExp group
+ */