Subversion Repositories AFRtranscoder

/* ----------------------------------------------------------------------

 * Project:      CMSIS DSP Library

 * Title:        arm_dct4_q31.c

 * Description:  Processing function of DCT4 & IDCT4 Q31

 *

 * $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"

/**

 * @addtogroup DCT4_IDCT4

 * @{

 */

/**

 * @brief Processing function for the Q31 DCT4/IDCT4.

 * @param[in]       *S             points to an instance of the Q31 DCT4 structure.

 * @param[in]       *pState        points to state buffer.

 * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.

 * @return none.

 * \par Input an output formats:

 * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,

 * as the conversion from DCT2 to DCT4 involves one subtraction.

 * Internally inputs are downscaled in the RFFT process function to avoid overflows.

 * Number of bits downscaled, depends on the size of the transform.

 * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:

 *

 * \image html dct4FormatsQ31Table.gif

 */

void arm_dct4_q31(

  const arm_dct4_instance_q31 * S,

  q31_t * pState,

  q31_t * pInlineBuffer)

{

  uint16_t i;                                    /* Loop counter */

  q31_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */

  q31_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */

  q31_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */

  q31_t in;                                      /* Temporary variable */

  /* DCT4 computation involves DCT2 (which is calculated using RFFT)

   * along with some pre-processing and post-processing.

   * Computational procedure is explained as follows:

   * (a) Pre-processing involves multiplying input with cos factor,

   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))

   *              where,

   *                 r(n) -- output of preprocessing

   *                 u(n) -- input to preprocessing(actual Source buffer)

   * (b) Calculation of DCT2 using FFT is divided into three steps:

   *                  Step1: Re-ordering of even and odd elements of input.

   *                  Step2: Calculating FFT of the re-ordered input.

   *                  Step3: Taking the real part of the product of FFT output and weights.

   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:

   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)

   *                        where,

   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output

   * (d) Multiplying the output with the normalizing factor sqrt(2/N).

   */

        /*-------- Pre-processing ------------*/

  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */

  arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N);

  arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N);

  /* ----------------------------------------------------------------

   * Step1: Re-ordering of even and odd elements as

   *             pState[i] =  pInlineBuffer[2*i] and

   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2

   ---------------------------------------------------------------------*/

  /* pS1 initialized to pState */

  pS1 = pState;

  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */

  pS2 = pState + (S->N - 1U);

  /* pbuff initialized to input buffer */

  pbuff = pInlineBuffer;

#if defined (ARM_MATH_DSP)

  /* Run the below code for Cortex-M4 and Cortex-M3 */

  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */

  i = S->Nby2 >> 2U;

  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.

   ** a second loop below computes the remaining 1 to 3 samples. */

  do

  {

    /* Re-ordering of even and odd elements */

    /* pState[i] =  pInlineBuffer[2*i] */

    *pS1++ = *pbuff++;

    /* pState[N-i-1] = pInlineBuffer[2*i+1] */

    *pS2-- = *pbuff++;

    *pS1++ = *pbuff++;

    *pS2-- = *pbuff++;

    *pS1++ = *pbuff++;

    *pS2-- = *pbuff++;

    *pS1++ = *pbuff++;

    *pS2-- = *pbuff++;

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

  /* pbuff initialized to input buffer */

  pbuff = pInlineBuffer;

  /* pS1 initialized to pState */

  pS1 = pState;

  /* Initializing the loop counter to N/4 instead of N for loop unrolling */

  i = S->N >> 2U;

  /* Processing with loop unrolling 4 times as N is always multiple of 4.

   * Compute 4 outputs at a time */

  do

  {

    /* Writing the re-ordered output back to inplace input buffer */

    *pbuff++ = *pS1++;

    *pbuff++ = *pS1++;

    *pbuff++ = *pS1++;

    *pbuff++ = *pS1++;

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

  /* ---------------------------------------------------------

   *     Step2: Calculate RFFT for N-point input

   * ---------------------------------------------------------- */

  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */

  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);

  /*----------------------------------------------------------------------

   *  Step3: Multiply the FFT output with the weights.

   *----------------------------------------------------------------------*/

  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);

  /* The output of complex multiplication is in 3.29 format.

   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */

  arm_shift_q31(pState, 2, pState, S->N * 2);

  /* ----------- Post-processing ---------- */

  /* DCT-IV can be obtained from DCT-II by the equation,

   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)

   *       Hence, Y4(0) = Y2(0)/2  */

  /* Getting only real part from the output and Converting to DCT-IV */

  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */

  i = (S->N - 1U) >> 2U;

  /* pbuff initialized to input buffer. */

  pbuff = pInlineBuffer;

  /* pS1 initialized to pState */

  pS1 = pState;

  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */

  in = *pS1++ >> 1U;

  /* input buffer acts as inplace, so output values are stored in the input itself. */

  *pbuff++ = in;

  /* pState pointer is incremented twice as the real values are located alternatively in the array */

  pS1++;

  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.

   ** a second loop below computes the remaining 1 to 3 samples. */

  do

  {

    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */

    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */

    in = *pS1++ - in;

    *pbuff++ = in;

    /* points to the next real value */

    pS1++;

    in = *pS1++ - in;

    *pbuff++ = in;

    pS1++;

    in = *pS1++ - in;

    *pbuff++ = in;

    pS1++;

    in = *pS1++ - in;

    *pbuff++ = in;

    pS1++;

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.

   ** No loop unrolling is used. */

  i = (S->N - 1U) % 0x4U;

  while (i > 0U)

  {

    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */

    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */

    in = *pS1++ - in;

    *pbuff++ = in;

    /* points to the next real value */

    pS1++;

    /* Decrement the loop counter */

    i--;

  }

        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/

  /* Initializing the loop counter to N/4 instead of N for loop unrolling */

  i = S->N >> 2U;

  /* pbuff initialized to the pInlineBuffer(now contains the output values) */

  pbuff = pInlineBuffer;

  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */

  do

  {

    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */

    in = *pbuff;

    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));

    in = *pbuff;

    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));

    in = *pbuff;

    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));

    in = *pbuff;

    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

#else

  /* Run the below code for Cortex-M0 */

  /* Initializing the loop counter to N/2 */

  i = S->Nby2;

  do

  {

    /* Re-ordering of even and odd elements */

    /* pState[i] =  pInlineBuffer[2*i] */

    *pS1++ = *pbuff++;

    /* pState[N-i-1] = pInlineBuffer[2*i+1] */

    *pS2-- = *pbuff++;

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

  /* pbuff initialized to input buffer */

  pbuff = pInlineBuffer;

  /* pS1 initialized to pState */

  pS1 = pState;

  /* Initializing the loop counter */

  i = S->N;

  do

  {

    /* Writing the re-ordered output back to inplace input buffer */

    *pbuff++ = *pS1++;

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

  /* ---------------------------------------------------------

   *     Step2: Calculate RFFT for N-point input

   * ---------------------------------------------------------- */

  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */

  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);

  /*----------------------------------------------------------------------

   *  Step3: Multiply the FFT output with the weights.

   *----------------------------------------------------------------------*/

  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);

  /* The output of complex multiplication is in 3.29 format.

   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */

  arm_shift_q31(pState, 2, pState, S->N * 2);

  /* ----------- Post-processing ---------- */

  /* DCT-IV can be obtained from DCT-II by the equation,

   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)

   *       Hence, Y4(0) = Y2(0)/2  */

  /* Getting only real part from the output and Converting to DCT-IV */

  /* pbuff initialized to input buffer. */

  pbuff = pInlineBuffer;

  /* pS1 initialized to pState */

  pS1 = pState;

  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */

  in = *pS1++ >> 1U;

  /* input buffer acts as inplace, so output values are stored in the input itself. */

  *pbuff++ = in;

  /* pState pointer is incremented twice as the real values are located alternatively in the array */

  pS1++;

  /* Initializing the loop counter */

  i = (S->N - 1U);

  while (i > 0U)

  {

    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */

    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */

    in = *pS1++ - in;

    *pbuff++ = in;

    /* points to the next real value */

    pS1++;

    /* Decrement the loop counter */

    i--;

  }

        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/

  /* Initializing the loop counter */

  i = S->N;

  /* pbuff initialized to the pInlineBuffer(now contains the output values) */

  pbuff = pInlineBuffer;

  do

  {

    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */

    in = *pbuff;

    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));

    /* Decrement the loop counter */

    i--;

  } while (i > 0U);

#endif /* #if defined (ARM_MATH_DSP) */

}

/**

   * @} end of DCT4_IDCT4 group

   */