diff options
author | Clyne Sullivan <clyne@bitgloo.com> | 2025-02-02 11:26:53 -0500 |
---|---|---|
committer | Clyne Sullivan <clyne@bitgloo.com> | 2025-02-02 11:26:53 -0500 |
commit | 9c59a184dba820975e5da6fcd5d248aee87f7e2f (patch) | |
tree | 6b30516adc2ba0f7b0a8f5fb5d2e6966c03108d8 /Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c | |
parent | d09f4289b5788d6a8b34e424841292e2b8529e56 (diff) |
add l476 implementationl476
Diffstat (limited to 'Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c')
-rw-r--r-- | Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c | 762 |
1 files changed, 381 insertions, 381 deletions
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c index a4650da..ba26300 100644 --- a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c +++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c @@ -1,381 +1,381 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_dct4_q15.c - * Description: Processing function of DCT4 & IDCT4 Q15 - * - * $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/transform_functions.h" - -/** - @addtogroup DCT4_IDCT4 - @{ - */ - -/** - @brief Processing function for the Q15 DCT4/IDCT4. - @param[in] S points to an instance of the Q15 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 - 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 dct4FormatsQ15Table.gif - */ - -void arm_dct4_q15( - const arm_dct4_instance_q15 * S, - q15_t * pState, - q15_t * pInlineBuffer) -{ - const q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */ - const q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ - q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ - q15_t in; /* Temporary variable */ - uint32_t i; /* Loop counter */ - - - /* 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_q15 (pInlineBuffer, cosFact, pInlineBuffer, S->N); - arm_shift_q15 (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_LOOPUNROLL) - - /* 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 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_q15 (S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.13 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ - arm_shift_q15 (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 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++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - /* Decrement loop counter */ - i--; - } while (i > 0U); - - -#else - - /* 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_q15 (S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.13 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ - arm_shift_q15 (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); - - 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++; - - /* Decrement loop counter */ - i--; - } while (i > 0U); - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing 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++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - /* Decrement loop counter */ - i--; - - } while (i > 0U); - -#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ - -} - -/** - @} end of DCT4_IDCT4 group - */ +/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_q15.c
+ * Description: Processing function of DCT4 & IDCT4 Q15
+ *
+ * $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"
+
+/**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 DCT4/IDCT4.
+ @param[in] S points to an instance of the Q15 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
+ 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 dct4FormatsQ15Table.gif
+ */
+
+void arm_dct4_q15(
+ const arm_dct4_instance_q15 * S,
+ q15_t * pState,
+ q15_t * pInlineBuffer)
+{
+ const q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */
+ const q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
+ q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
+ q15_t in; /* Temporary variable */
+ uint32_t i; /* Loop counter */
+
+
+ /* 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_q15 (pInlineBuffer, cosFact, pInlineBuffer, S->N);
+ arm_shift_q15 (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_LOOPUNROLL)
+
+ /* 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 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_q15 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.13 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+ arm_shift_q15 (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 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++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+
+#else
+
+ /* 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_q15 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.13 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+ arm_shift_q15 (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);
+
+ 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++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing 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++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ /* Decrement loop counter */
+ i--;
+
+ } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
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