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diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_f32.c
+ * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $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"
+
+void arm_radix2_butterfly_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+ float32_t * pSrc,
+ uint16_t fftSize,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Radix-2 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future
+ @param[in] S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+ @return none
+ */
+
+void arm_cfft_radix2_f32(
+const arm_cfft_radix2_instance_f32 * S,
+ float32_t * pSrc)
+{
+
+ if (S->ifftFlag == 1U)
+ {
+ /* Complex IFFT radix-2 */
+ arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
+ S->twidCoefModifier, S->onebyfftLen);
+ }
+ else
+ {
+ /* Complex FFT radix-2 */
+ arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
+ S->twidCoefModifier);
+ }
+
+ if (S->bitReverseFlag == 1U)
+ {
+ /* Bit Reversal */
+ arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+ }
+
+}
+
+
+/**
+ @} end of ComplexFFT group
+ */
+
+
+
+/* ----------------------------------------------------------------------
+ ** Internal helper function used by the FFTs
+ ** ------------------------------------------------------------------- */
+
+/**
+ brief Core function for the floating-point CFFT butterfly process.
+ param[in,out] pSrc points to in-place buffer of floating-point data type
+ param[in] fftLen length of the FFT
+ param[in] pCoef points to twiddle coefficient buffer
+ param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ return none
+ */
+
+void arm_radix2_butterfly_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ float32_t xt, yt, cosVal, sinVal;
+ float32_t p0, p1, p2, p3;
+ float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Initializations for the first stage */
+ n2 = fftLen >> 1;
+ ia = 0;
+ i = 0;
+
+ // loop for groups
+ for (k = n2; k > 0; k--)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+
+ /* Twiddle coefficients index modifier */
+ ia += twidCoefModifier;
+
+ /* index calculation for the input as, */
+ /* pSrc[i + 0], pSrc[i + fftLen/1] */
+ l = i + n2;
+
+ /* Butterfly implementation */
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i++;
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+
+ // loop for stage
+ for (k = n2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while ( j < n2); // groups loop end
+ twidCoefModifier <<= 1U;
+ } // stages loop end
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += 2)
+ {
+ a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+ xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+ a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+ pSrc[2 * i + 2] = xt;
+ pSrc[2 * i + 3] = yt;
+ } // groups loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ n2 = fftLen;
+
+ // loop for stage
+ for (k = fftLen; k > 1; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i += n1;
+ } while (i < fftLen);
+ j++;
+ } while (j < n2);
+ twidCoefModifier <<= 1U;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+void arm_radix2_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen)
+{
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ float32_t xt, yt, cosVal, sinVal;
+ float32_t p0, p1, p2, p3;
+ float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+ n2 = fftLen >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while (j < n2); // groups loop end
+
+ twidCoefModifier <<= 1U;
+ } // stages loop end
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += 2)
+ {
+ a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+ xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+ a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+ yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+
+ p0 = a0 * onebyfftLen;
+ p2 = xt * onebyfftLen;
+ p1 = a1 * onebyfftLen;
+ p3 = yt * onebyfftLen;
+
+ pSrc[2 * i] = p0;
+ pSrc[2 * i + 1] = p1;
+ pSrc[2 * i + 2] = p2;
+ pSrc[2 * i + 3] = p3;
+ } // butterfly loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ n2 = fftLen;
+
+ // loop for stage
+ for (k = fftLen; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while ( j < n2 ); // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+
+ p0 = a0 * onebyfftLen;
+ p2 = xt * onebyfftLen;
+ p1 = a1 * onebyfftLen;
+ p3 = yt * onebyfftLen;
+
+ pSrc[2 * i] = p0;
+ pSrc[2 * l] = p2;
+
+ pSrc[2 * i + 1] = p1;
+ pSrc[2 * l + 1] = p3;
+ } // butterfly loop end
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
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