You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


/* ----------------------------------------------------------------------
 * Project:      CMSIS DSP Library
 * Title:        arm_correlate_fast_q15.c
 * Description:  Fast Q15 Correlation
 *
 * $Date:        27. January 2017
 * $Revision:    V.1.5.1
 *
 * Target Processor: Cortex-M cores
 * -------------------------------------------------------------------- */
/*
 * Copyright (C) 2010-2017 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 groupFilters
 */

/**
 * @addtogroup Corr
 * @{
 */

/**
 * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
 * @param[in] *pSrcA points to the first input sequence.
 * @param[in] srcALen length of the first input sequence.
 * @param[in] *pSrcB points to the second input sequence.
 * @param[in] srcBLen length of the second input sequence.
 * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
 * @return none.
 *
 * <b>Scaling and Overflow Behavior:</b>
 *
 * \par
 * This fast version uses a 32-bit accumulator with 2.30 format.
 * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
 * There is no saturation on intermediate additions.
 * Thus, if the accumulator overflows it wraps around and distorts the result.
 * The input signals should be scaled down to avoid intermediate overflows.
 * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
 * maximum of min(srcALen, srcBLen) number of additions is carried internally.
 * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
 *
 * \par
 * See <code>arm_correlate_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
 */

void arm_correlate_fast_q15(
  q15_t * pSrcA,
  uint32_t srcALen,
  q15_t * pSrcB,
  uint32_t srcBLen,
  q15_t * pDst)
{
#ifndef UNALIGNED_SUPPORT_DISABLE

  q15_t *pIn1;                                   /* inputA pointer               */
  q15_t *pIn2;                                   /* inputB pointer               */
  q15_t *pOut = pDst;                            /* output pointer               */
  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
  q15_t *px;                                     /* Intermediate inputA pointer  */
  q15_t *py;                                     /* Intermediate inputB pointer  */
  q15_t *pSrc1;                                  /* Intermediate pointers        */
  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
  uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
  int32_t inc = 1;                               /* Destination address modifier */


  /* The algorithm implementation is based on the lengths of the inputs. */
  /* srcB is always made to slide across srcA. */
  /* So srcBLen is always considered as shorter or equal to srcALen */
  /* But CORR(x, y) is reverse of CORR(y, x) */
  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
  /* and the destination pointer modifier, inc is set to -1 */
  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
  /* But to improve the performance,
   * we include zeroes in the output instead of zero padding either of the the inputs*/
  /* If srcALen > srcBLen,
   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
  /* If srcALen < srcBLen,
   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
  if (srcALen >= srcBLen)
  {
    /* Initialization of inputA pointer */
    pIn1 = (pSrcA);

    /* Initialization of inputB pointer */
    pIn2 = (pSrcB);

    /* Number of output samples is calculated */
    outBlockSize = (2U * srcALen) - 1U;

    /* When srcALen > srcBLen, zero padding is done to srcB
     * to make their lengths equal.
     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
     * number of output samples are made zero */
    j = outBlockSize - (srcALen + (srcBLen - 1U));

    /* Updating the pointer position to non zero value */
    pOut += j;

  }
  else
  {
    /* Initialization of inputA pointer */
    pIn1 = (pSrcB);

    /* Initialization of inputB pointer */
    pIn2 = (pSrcA);

    /* srcBLen is always considered as shorter or equal to srcALen */
    j = srcBLen;
    srcBLen = srcALen;
    srcALen = j;

    /* CORR(x, y) = Reverse order(CORR(y, x)) */
    /* Hence set the destination pointer to point to the last output sample */
    pOut = pDst + ((srcALen + srcBLen) - 2U);

    /* Destination address modifier is set to -1 */
    inc = -1;

  }

  /* The function is internally
   * divided into three parts according to the number of multiplications that has to be
   * taken place between inputA samples and inputB samples. In the first part of the
   * algorithm, the multiplications increase by one for every iteration.
   * In the second part of the algorithm, srcBLen number of multiplications are done.
   * In the third part of the algorithm, the multiplications decrease by one
   * for every iteration.*/
  /* The algorithm is implemented in three stages.
   * The loop counters of each stage is initiated here. */
  blockSize1 = srcBLen - 1U;
  blockSize2 = srcALen - (srcBLen - 1U);
  blockSize3 = blockSize1;

  /* --------------------------
   * Initializations of stage1
   * -------------------------*/

  /* sum = x[0] * y[srcBlen - 1]
   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
   * ....
   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
   */

  /* In this stage the MAC operations are increased by 1 for every iteration.
     The count variable holds the number of MAC operations performed */
  count = 1U;

  /* Working pointer of inputA */
  px = pIn1;

  /* Working pointer of inputB */
  pSrc1 = pIn2 + (srcBLen - 1U);
  py = pSrc1;

  /* ------------------------
   * Stage1 process
   * ----------------------*/

  /* The first loop starts here */
  while (blockSize1 > 0U)
  {
    /* Accumulator is made zero for every iteration */
    sum = 0;

    /* Apply loop unrolling and compute 4 MACs simultaneously. */
    k = count >> 2;

    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
    while (k > 0U)
    {
      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);

      /* Decrement the loop counter */
      k--;
    }

    /* If the count is not a multiple of 4, compute any remaining MACs here.
     ** No loop unrolling is used. */
    k = count % 0x4U;

    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
      /* x[0] * y[srcBLen - 1] */
      sum = __SMLAD(*px++, *py++, sum);

      /* Decrement the loop counter */
      k--;
    }

    /* Store the result in the accumulator in the destination buffer. */
    *pOut = (q15_t) (sum >> 15);
    /* Destination pointer is updated according to the address modifier, inc */
    pOut += inc;

    /* Update the inputA and inputB pointers for next MAC calculation */
    py = pSrc1 - count;
    px = pIn1;

    /* Increment the MAC count */
    count++;

    /* Decrement the loop counter */
    blockSize1--;
  }

  /* --------------------------
   * Initializations of stage2
   * ------------------------*/

  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
   * ....
   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   */

  /* Working pointer of inputA */
  px = pIn1;

  /* Working pointer of inputB */
  py = pIn2;

  /* count is index by which the pointer pIn1 to be incremented */
  count = 0U;

  /* -------------------
   * Stage2 process
   * ------------------*/

  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
   * So, to loop unroll over blockSize2,
   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
  if (srcBLen >= 4U)
  {
    /* Loop unroll over blockSize2, by 4 */
    blkCnt = blockSize2 >> 2U;

    while (blkCnt > 0U)
    {
      /* Set all accumulators to zero */
      acc0 = 0;
      acc1 = 0;
      acc2 = 0;
      acc3 = 0;

      /* read x[0], x[1] samples */
      x0 = *__SIMD32(px);
      /* read x[1], x[2] samples */
      x1 = _SIMD32_OFFSET(px + 1);
	  px += 2U;

      /* Apply loop unrolling and compute 4 MACs simultaneously. */
      k = srcBLen >> 2U;

      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
      do
      {
        /* Read the first two inputB samples using SIMD:
         * y[0] and y[1] */
        c0 = *__SIMD32(py)++;

        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
        acc0 = __SMLAD(x0, c0, acc0);

        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
        acc1 = __SMLAD(x1, c0, acc1);

        /* Read x[2], x[3] */
        x2 = *__SIMD32(px);

        /* Read x[3], x[4] */
        x3 = _SIMD32_OFFSET(px + 1);

        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
        acc2 = __SMLAD(x2, c0, acc2);

        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
        acc3 = __SMLAD(x3, c0, acc3);

        /* Read y[2] and y[3] */
        c0 = *__SIMD32(py)++;

        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
        acc0 = __SMLAD(x2, c0, acc0);

        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
        acc1 = __SMLAD(x3, c0, acc1);

        /* Read x[4], x[5] */
        x0 = _SIMD32_OFFSET(px + 2);

        /* Read x[5], x[6] */
        x1 = _SIMD32_OFFSET(px + 3);
		px += 4U;

        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
        acc2 = __SMLAD(x0, c0, acc2);

        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
        acc3 = __SMLAD(x1, c0, acc3);

      } while (--k);

      /* For the next MAC operations, SIMD is not used
       * So, the 16 bit pointer if inputB, py is updated */

      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
       ** No loop unrolling is used. */
      k = srcBLen % 0x4U;

      if (k == 1U)
      {
        /* Read y[4] */
        c0 = *py;
#ifdef  ARM_MATH_BIG_ENDIAN

        c0 = c0 << 16U;

#else

        c0 = c0 & 0x0000FFFF;

#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */

        /* Read x[7] */
        x3 = *__SIMD32(px);
		px++;

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLADX(x1, c0, acc2);
        acc3 = __SMLADX(x3, c0, acc3);
      }

      if (k == 2U)
      {
        /* Read y[4], y[5] */
        c0 = *__SIMD32(py);

        /* Read x[7], x[8] */
        x3 = *__SIMD32(px);

        /* Read x[9] */
        x2 = _SIMD32_OFFSET(px + 1);
		px += 2U;

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLAD(x3, c0, acc2);
        acc3 = __SMLAD(x2, c0, acc3);
      }

      if (k == 3U)
      {
        /* Read y[4], y[5] */
        c0 = *__SIMD32(py)++;

        /* Read x[7], x[8] */
        x3 = *__SIMD32(px);

        /* Read x[9] */
        x2 = _SIMD32_OFFSET(px + 1);

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLAD(x3, c0, acc2);
        acc3 = __SMLAD(x2, c0, acc3);

        c0 = (*py);
        /* Read y[6] */
#ifdef  ARM_MATH_BIG_ENDIAN

        c0 = c0 << 16U;
#else

        c0 = c0 & 0x0000FFFF;
#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */

        /* Read x[10] */
        x3 = _SIMD32_OFFSET(px + 2);
		px += 3U;

        /* Perform the multiply-accumulates */
        acc0 = __SMLADX(x1, c0, acc0);
        acc1 = __SMLAD(x2, c0, acc1);
        acc2 = __SMLADX(x2, c0, acc2);
        acc3 = __SMLADX(x3, c0, acc3);
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (acc0 >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      *pOut = (q15_t) (acc1 >> 15);
      pOut += inc;

      *pOut = (q15_t) (acc2 >> 15);
      pOut += inc;

      *pOut = (q15_t) (acc3 >> 15);
      pOut += inc;

      /* Increment the pointer pIn1 index, count by 1 */
      count += 4U;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;


      /* Decrement the loop counter */
      blkCnt--;
    }

    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
     ** No loop unrolling is used. */
    blkCnt = blockSize2 % 0x4U;

    while (blkCnt > 0U)
    {
      /* Accumulator is made zero for every iteration */
      sum = 0;

      /* Apply loop unrolling and compute 4 MACs simultaneously. */
      k = srcBLen >> 2U;

      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
      while (k > 0U)
      {
        /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
       ** No loop unrolling is used. */
      k = srcBLen % 0x4U;

      while (k > 0U)
      {
        /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (sum >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      /* Increment the pointer pIn1 index, count by 1 */
      count++;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;

      /* Decrement the loop counter */
      blkCnt--;
    }
  }
  else
  {
    /* If the srcBLen is not a multiple of 4,
     * the blockSize2 loop cannot be unrolled by 4 */
    blkCnt = blockSize2;

    while (blkCnt > 0U)
    {
      /* Accumulator is made zero for every iteration */
      sum = 0;

      /* Loop over srcBLen */
      k = srcBLen;

      while (k > 0U)
      {
        /* Perform the multiply-accumulate */
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (sum >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      /* Increment the MAC count */
      count++;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;

      /* Decrement the loop counter */
      blkCnt--;
    }
  }

  /* --------------------------
   * Initializations of stage3
   * -------------------------*/

  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   * ....
   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
   * sum +=  x[srcALen-1] * y[0]
   */

  /* In this stage the MAC operations are decreased by 1 for every iteration.
     The count variable holds the number of MAC operations performed */
  count = srcBLen - 1U;

  /* Working pointer of inputA */
  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
  px = pSrc1;

  /* Working pointer of inputB */
  py = pIn2;

  /* -------------------
   * Stage3 process
   * ------------------*/

  while (blockSize3 > 0U)
  {
    /* Accumulator is made zero for every iteration */
    sum = 0;

    /* Apply loop unrolling and compute 4 MACs simultaneously. */
    k = count >> 2U;

    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);

      /* Decrement the loop counter */
      k--;
    }

    /* If the count is not a multiple of 4, compute any remaining MACs here.
     ** No loop unrolling is used. */
    k = count % 0x4U;

    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
      sum = __SMLAD(*px++, *py++, sum);

      /* Decrement the loop counter */
      k--;
    }

    /* Store the result in the accumulator in the destination buffer. */
    *pOut = (q15_t) (sum >> 15);
    /* Destination pointer is updated according to the address modifier, inc */
    pOut += inc;

    /* Update the inputA and inputB pointers for next MAC calculation */
    px = ++pSrc1;
    py = pIn2;

    /* Decrement the MAC count */
    count--;

    /* Decrement the loop counter */
    blockSize3--;
  }

#else

  q15_t *pIn1;                                   /* inputA pointer               */
  q15_t *pIn2;                                   /* inputB pointer               */
  q15_t *pOut = pDst;                            /* output pointer               */
  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
  q15_t *px;                                     /* Intermediate inputA pointer  */
  q15_t *py;                                     /* Intermediate inputB pointer  */
  q15_t *pSrc1;                                  /* Intermediate pointers        */
  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
  uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
  int32_t inc = 1;                               /* Destination address modifier */
  q15_t a, b;


  /* The algorithm implementation is based on the lengths of the inputs. */
  /* srcB is always made to slide across srcA. */
  /* So srcBLen is always considered as shorter or equal to srcALen */
  /* But CORR(x, y) is reverse of CORR(y, x) */
  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
  /* and the destination pointer modifier, inc is set to -1 */
  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
  /* But to improve the performance,
   * we include zeroes in the output instead of zero padding either of the the inputs*/
  /* If srcALen > srcBLen,
   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
  /* If srcALen < srcBLen,
   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
  if (srcALen >= srcBLen)
  {
    /* Initialization of inputA pointer */
    pIn1 = (pSrcA);

    /* Initialization of inputB pointer */
    pIn2 = (pSrcB);

    /* Number of output samples is calculated */
    outBlockSize = (2U * srcALen) - 1U;

    /* When srcALen > srcBLen, zero padding is done to srcB
     * to make their lengths equal.
     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
     * number of output samples are made zero */
    j = outBlockSize - (srcALen + (srcBLen - 1U));

    /* Updating the pointer position to non zero value */
    pOut += j;

  }
  else
  {
    /* Initialization of inputA pointer */
    pIn1 = (pSrcB);

    /* Initialization of inputB pointer */
    pIn2 = (pSrcA);

    /* srcBLen is always considered as shorter or equal to srcALen */
    j = srcBLen;
    srcBLen = srcALen;
    srcALen = j;

    /* CORR(x, y) = Reverse order(CORR(y, x)) */
    /* Hence set the destination pointer to point to the last output sample */
    pOut = pDst + ((srcALen + srcBLen) - 2U);

    /* Destination address modifier is set to -1 */
    inc = -1;

  }

  /* The function is internally
   * divided into three parts according to the number of multiplications that has to be
   * taken place between inputA samples and inputB samples. In the first part of the
   * algorithm, the multiplications increase by one for every iteration.
   * In the second part of the algorithm, srcBLen number of multiplications are done.
   * In the third part of the algorithm, the multiplications decrease by one
   * for every iteration.*/
  /* The algorithm is implemented in three stages.
   * The loop counters of each stage is initiated here. */
  blockSize1 = srcBLen - 1U;
  blockSize2 = srcALen - (srcBLen - 1U);
  blockSize3 = blockSize1;

  /* --------------------------
   * Initializations of stage1
   * -------------------------*/

  /* sum = x[0] * y[srcBlen - 1]
   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
   * ....
   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
   */

  /* In this stage the MAC operations are increased by 1 for every iteration.
     The count variable holds the number of MAC operations performed */
  count = 1U;

  /* Working pointer of inputA */
  px = pIn1;

  /* Working pointer of inputB */
  pSrc1 = pIn2 + (srcBLen - 1U);
  py = pSrc1;

  /* ------------------------
   * Stage1 process
   * ----------------------*/

  /* The first loop starts here */
  while (blockSize1 > 0U)
  {
    /* Accumulator is made zero for every iteration */
    sum = 0;

    /* Apply loop unrolling and compute 4 MACs simultaneously. */
    k = count >> 2;

    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
    while (k > 0U)
    {
      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);

      /* Decrement the loop counter */
      k--;
    }

    /* If the count is not a multiple of 4, compute any remaining MACs here.
     ** No loop unrolling is used. */
    k = count % 0x4U;

    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
      /* x[0] * y[srcBLen - 1] */
        sum += ((q31_t) * px++ * *py++);

      /* Decrement the loop counter */
      k--;
    }

    /* Store the result in the accumulator in the destination buffer. */
    *pOut = (q15_t) (sum >> 15);
    /* Destination pointer is updated according to the address modifier, inc */
    pOut += inc;

    /* Update the inputA and inputB pointers for next MAC calculation */
    py = pSrc1 - count;
    px = pIn1;

    /* Increment the MAC count */
    count++;

    /* Decrement the loop counter */
    blockSize1--;
  }

  /* --------------------------
   * Initializations of stage2
   * ------------------------*/

  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
   * ....
   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   */

  /* Working pointer of inputA */
  px = pIn1;

  /* Working pointer of inputB */
  py = pIn2;

  /* count is index by which the pointer pIn1 to be incremented */
  count = 0U;

  /* -------------------
   * Stage2 process
   * ------------------*/

  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
   * So, to loop unroll over blockSize2,
   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
  if (srcBLen >= 4U)
  {
    /* Loop unroll over blockSize2, by 4 */
    blkCnt = blockSize2 >> 2U;

    while (blkCnt > 0U)
    {
      /* Set all accumulators to zero */
      acc0 = 0;
      acc1 = 0;
      acc2 = 0;
      acc3 = 0;

      /* read x[0], x[1], x[2] samples */
	  a = *px;
	  b = *(px + 1);

#ifndef ARM_MATH_BIG_ENDIAN

	  x0 = __PKHBT(a, b, 16);
	  a = *(px + 2);
	  x1 = __PKHBT(b, a, 16);

#else

	  x0 = __PKHBT(b, a, 16);
	  a = *(px + 2);
	  x1 = __PKHBT(a, b, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

	  px += 2U;

      /* Apply loop unrolling and compute 4 MACs simultaneously. */
      k = srcBLen >> 2U;

      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
      do
      {
        /* Read the first two inputB samples using SIMD:
         * y[0] and y[1] */
		  a = *py;
		  b = *(py + 1);

#ifndef ARM_MATH_BIG_ENDIAN

		  c0 = __PKHBT(a, b, 16);

#else

		  c0 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
        acc0 = __SMLAD(x0, c0, acc0);

        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
        acc1 = __SMLAD(x1, c0, acc1);

        /* Read x[2], x[3], x[4] */
	  	a = *px;
	  	b = *(px + 1);

#ifndef ARM_MATH_BIG_ENDIAN

	  	x2 = __PKHBT(a, b, 16);
	  	a = *(px + 2);
	  	x3 = __PKHBT(b, a, 16);

#else

	  	x2 = __PKHBT(b, a, 16);
	  	a = *(px + 2);
	  	x3 = __PKHBT(a, b, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
        acc2 = __SMLAD(x2, c0, acc2);

        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
        acc3 = __SMLAD(x3, c0, acc3);

        /* Read y[2] and y[3] */
		  a = *(py + 2);
		  b = *(py + 3);

		  py += 4U;

#ifndef ARM_MATH_BIG_ENDIAN

		  c0 = __PKHBT(a, b, 16);

#else

		  c0 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
        acc0 = __SMLAD(x2, c0, acc0);

        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
        acc1 = __SMLAD(x3, c0, acc1);

        /* Read x[4], x[5], x[6] */
	  	a = *(px + 2);
	  	b = *(px + 3);

#ifndef ARM_MATH_BIG_ENDIAN

	  	x0 = __PKHBT(a, b, 16);
	  	a = *(px + 4);
	  	x1 = __PKHBT(b, a, 16);

#else

	  	x0 = __PKHBT(b, a, 16);
	  	a = *(px + 4);
	  	x1 = __PKHBT(a, b, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

		px += 4U;

        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
        acc2 = __SMLAD(x0, c0, acc2);

        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
        acc3 = __SMLAD(x1, c0, acc3);

      } while (--k);

      /* For the next MAC operations, SIMD is not used
       * So, the 16 bit pointer if inputB, py is updated */

      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
       ** No loop unrolling is used. */
      k = srcBLen % 0x4U;

      if (k == 1U)
      {
        /* Read y[4] */
        c0 = *py;
#ifdef  ARM_MATH_BIG_ENDIAN

        c0 = c0 << 16U;

#else

        c0 = c0 & 0x0000FFFF;

#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */

        /* Read x[7] */
		a = *px;
		b = *(px + 1);

		px++;;

#ifndef ARM_MATH_BIG_ENDIAN

		x3 = __PKHBT(a, b, 16);

#else

		x3 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

		px++;

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLADX(x1, c0, acc2);
        acc3 = __SMLADX(x3, c0, acc3);
      }

      if (k == 2U)
      {
        /* Read y[4], y[5] */
		  a = *py;
		  b = *(py + 1);

#ifndef ARM_MATH_BIG_ENDIAN

		  c0 = __PKHBT(a, b, 16);

#else

		  c0 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

        /* Read x[7], x[8], x[9] */
	  	a = *px;
	  	b = *(px + 1);

#ifndef ARM_MATH_BIG_ENDIAN

	  	x3 = __PKHBT(a, b, 16);
	  	a = *(px + 2);
	  	x2 = __PKHBT(b, a, 16);

#else

	  	x3 = __PKHBT(b, a, 16);
	  	a = *(px + 2);
	  	x2 = __PKHBT(a, b, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

		px += 2U;

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLAD(x3, c0, acc2);
        acc3 = __SMLAD(x2, c0, acc3);
      }

      if (k == 3U)
      {
        /* Read y[4], y[5] */
		  a = *py;
		  b = *(py + 1);

#ifndef ARM_MATH_BIG_ENDIAN

		  c0 = __PKHBT(a, b, 16);

#else

		  c0 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

		py += 2U;

        /* Read x[7], x[8], x[9] */
	  	a = *px;
	  	b = *(px + 1);

#ifndef ARM_MATH_BIG_ENDIAN

	  	x3 = __PKHBT(a, b, 16);
	  	a = *(px + 2);
	  	x2 = __PKHBT(b, a, 16);

#else

	  	x3 = __PKHBT(b, a, 16);
	  	a = *(px + 2);
	  	x2 = __PKHBT(a, b, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

        /* Perform the multiply-accumulates */
        acc0 = __SMLAD(x0, c0, acc0);
        acc1 = __SMLAD(x1, c0, acc1);
        acc2 = __SMLAD(x3, c0, acc2);
        acc3 = __SMLAD(x2, c0, acc3);

        c0 = (*py);
        /* Read y[6] */
#ifdef  ARM_MATH_BIG_ENDIAN

        c0 = c0 << 16U;
#else

        c0 = c0 & 0x0000FFFF;
#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */

        /* Read x[10] */
		b = *(px + 3);

#ifndef ARM_MATH_BIG_ENDIAN

		x3 = __PKHBT(a, b, 16);

#else

		x3 = __PKHBT(b, a, 16);

#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/

		px += 3U;

        /* Perform the multiply-accumulates */
        acc0 = __SMLADX(x1, c0, acc0);
        acc1 = __SMLAD(x2, c0, acc1);
        acc2 = __SMLADX(x2, c0, acc2);
        acc3 = __SMLADX(x3, c0, acc3);
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (acc0 >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      *pOut = (q15_t) (acc1 >> 15);
      pOut += inc;

      *pOut = (q15_t) (acc2 >> 15);
      pOut += inc;

      *pOut = (q15_t) (acc3 >> 15);
      pOut += inc;

      /* Increment the pointer pIn1 index, count by 1 */
      count += 4U;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;


      /* Decrement the loop counter */
      blkCnt--;
    }

    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
     ** No loop unrolling is used. */
    blkCnt = blockSize2 % 0x4U;

    while (blkCnt > 0U)
    {
      /* Accumulator is made zero for every iteration */
      sum = 0;

      /* Apply loop unrolling and compute 4 MACs simultaneously. */
      k = srcBLen >> 2U;

      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
      while (k > 0U)
      {
        /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
       ** No loop unrolling is used. */
      k = srcBLen % 0x4U;

      while (k > 0U)
      {
        /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (sum >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      /* Increment the pointer pIn1 index, count by 1 */
      count++;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;

      /* Decrement the loop counter */
      blkCnt--;
    }
  }
  else
  {
    /* If the srcBLen is not a multiple of 4,
     * the blockSize2 loop cannot be unrolled by 4 */
    blkCnt = blockSize2;

    while (blkCnt > 0U)
    {
      /* Accumulator is made zero for every iteration */
      sum = 0;

      /* Loop over srcBLen */
      k = srcBLen;

      while (k > 0U)
      {
        /* Perform the multiply-accumulate */
        sum += ((q31_t) * px++ * *py++);

        /* Decrement the loop counter */
        k--;
      }

      /* Store the result in the accumulator in the destination buffer. */
      *pOut = (q15_t) (sum >> 15);
      /* Destination pointer is updated according to the address modifier, inc */
      pOut += inc;

      /* Increment the MAC count */
      count++;

      /* Update the inputA and inputB pointers for next MAC calculation */
      px = pIn1 + count;
      py = pIn2;

      /* Decrement the loop counter */
      blkCnt--;
    }
  }

  /* --------------------------
   * Initializations of stage3
   * -------------------------*/

  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
   * ....
   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
   * sum +=  x[srcALen-1] * y[0]
   */

  /* In this stage the MAC operations are decreased by 1 for every iteration.
     The count variable holds the number of MAC operations performed */
  count = srcBLen - 1U;

  /* Working pointer of inputA */
  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
  px = pSrc1;

  /* Working pointer of inputB */
  py = pIn2;

  /* -------------------
   * Stage3 process
   * ------------------*/

  while (blockSize3 > 0U)
  {
    /* Accumulator is made zero for every iteration */
    sum = 0;

    /* Apply loop unrolling and compute 4 MACs simultaneously. */
    k = count >> 2U;

    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);
        sum += ((q31_t) * px++ * *py++);

      /* Decrement the loop counter */
      k--;
    }

    /* If the count is not a multiple of 4, compute any remaining MACs here.
     ** No loop unrolling is used. */
    k = count % 0x4U;

    while (k > 0U)
    {
      /* Perform the multiply-accumulates */
        sum += ((q31_t) * px++ * *py++);

      /* Decrement the loop counter */
      k--;
    }

    /* Store the result in the accumulator in the destination buffer. */
    *pOut = (q15_t) (sum >> 15);
    /* Destination pointer is updated according to the address modifier, inc */
    pOut += inc;

    /* Update the inputA and inputB pointers for next MAC calculation */
    px = ++pSrc1;
    py = pIn2;

    /* Decrement the MAC count */
    count--;

    /* Decrement the loop counter */
    blockSize3--;
  }

#endif /*   #ifndef UNALIGNED_SUPPORT_DISABLE */

}

/**
 * @} end of Corr group
 */