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| 2 | mjames | 1 | /* ---------------------------------------------------------------------- |
| 2 | * Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
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| 3 | * |
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| 4 | * $Date: 19. March 2015 |
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| 5 | * $Revision: V.1.4.5 |
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| 6 | * |
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| 7 | * Project: CMSIS DSP Library |
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| 8 | * Title: arm_cfft_q15.c |
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| 9 | * |
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| 10 | * Description: Combined Radix Decimation in Q15 Frequency CFFT processing function |
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| 11 | * |
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| 12 | * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
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| 13 | * |
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| 14 | * Redistribution and use in source and binary forms, with or without |
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| 15 | * modification, are permitted provided that the following conditions |
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| 16 | * are met: |
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| 17 | * - Redistributions of source code must retain the above copyright |
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| 18 | * notice, this list of conditions and the following disclaimer. |
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| 19 | * - Redistributions in binary form must reproduce the above copyright |
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| 20 | * notice, this list of conditions and the following disclaimer in |
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| 21 | * the documentation and/or other materials provided with the |
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| 22 | * distribution. |
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| 23 | * - Neither the name of ARM LIMITED nor the names of its contributors |
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| 24 | * may be used to endorse or promote products derived from this |
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| 25 | * software without specific prior written permission. |
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| 26 | * |
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| 27 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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| 28 | * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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| 29 | * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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| 30 | * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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| 31 | * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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| 32 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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| 33 | * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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| 34 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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| 35 | * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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| 36 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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| 37 | * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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| 38 | * POSSIBILITY OF SUCH DAMAGE. |
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| 39 | * -------------------------------------------------------------------- */ |
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| 40 | |||
| 41 | #include "arm_math.h" |
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| 42 | |||
| 43 | extern void arm_radix4_butterfly_q15( |
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| 44 | q15_t * pSrc, |
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| 45 | uint32_t fftLen, |
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| 46 | q15_t * pCoef, |
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| 47 | uint32_t twidCoefModifier); |
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| 48 | |||
| 49 | extern void arm_radix4_butterfly_inverse_q15( |
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| 50 | q15_t * pSrc, |
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| 51 | uint32_t fftLen, |
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| 52 | q15_t * pCoef, |
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| 53 | uint32_t twidCoefModifier); |
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| 54 | |||
| 55 | extern void arm_bitreversal_16( |
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| 56 | uint16_t * pSrc, |
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| 57 | const uint16_t bitRevLen, |
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| 58 | const uint16_t * pBitRevTable); |
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| 59 | |||
| 60 | void arm_cfft_radix4by2_q15( |
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| 61 | q15_t * pSrc, |
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| 62 | uint32_t fftLen, |
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| 63 | const q15_t * pCoef); |
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| 64 | |||
| 65 | void arm_cfft_radix4by2_inverse_q15( |
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| 66 | q15_t * pSrc, |
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| 67 | uint32_t fftLen, |
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| 68 | const q15_t * pCoef); |
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| 69 | |||
| 70 | /** |
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| 71 | * @ingroup groupTransforms |
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| 72 | */ |
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| 73 | |||
| 74 | /** |
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| 75 | * @addtogroup ComplexFFT |
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| 76 | * @{ |
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| 77 | */ |
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| 78 | |||
| 79 | /** |
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| 80 | * @details |
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| 81 | * @brief Processing function for the Q15 complex FFT. |
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| 82 | * @param[in] *S points to an instance of the Q15 CFFT structure. |
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| 83 | * @param[in, out] *p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. |
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| 84 | * @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. |
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| 85 | * @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. |
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| 86 | * @return none. |
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| 87 | */ |
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| 88 | |||
| 89 | void arm_cfft_q15( |
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| 90 | const arm_cfft_instance_q15 * S, |
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| 91 | q15_t * p1, |
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| 92 | uint8_t ifftFlag, |
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| 93 | uint8_t bitReverseFlag) |
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| 94 | { |
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| 95 | uint32_t L = S->fftLen; |
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| 96 | |||
| 97 | if(ifftFlag == 1u) |
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| 98 | { |
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| 99 | switch (L) |
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| 100 | { |
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| 101 | case 16: |
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| 102 | case 64: |
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| 103 | case 256: |
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| 104 | case 1024: |
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| 105 | case 4096: |
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| 106 | arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); |
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| 107 | break; |
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| 108 | |||
| 109 | case 32: |
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| 110 | case 128: |
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| 111 | case 512: |
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| 112 | case 2048: |
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| 113 | arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle ); |
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| 114 | break; |
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| 115 | } |
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| 116 | } |
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| 117 | else |
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| 118 | { |
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| 119 | switch (L) |
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| 120 | { |
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| 121 | case 16: |
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| 122 | case 64: |
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| 123 | case 256: |
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| 124 | case 1024: |
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| 125 | case 4096: |
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| 126 | arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); |
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| 127 | break; |
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| 128 | |||
| 129 | case 32: |
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| 130 | case 128: |
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| 131 | case 512: |
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| 132 | case 2048: |
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| 133 | arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle ); |
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| 134 | break; |
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| 135 | } |
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| 136 | } |
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| 137 | |||
| 138 | if( bitReverseFlag ) |
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| 139 | arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable); |
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| 140 | } |
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| 141 | |||
| 142 | /** |
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| 143 | * @} end of ComplexFFT group |
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| 144 | */ |
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| 145 | |||
| 146 | void arm_cfft_radix4by2_q15( |
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| 147 | q15_t * pSrc, |
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| 148 | uint32_t fftLen, |
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| 149 | const q15_t * pCoef) |
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| 150 | { |
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| 151 | uint32_t i; |
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| 152 | uint32_t n2; |
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| 153 | q15_t p0, p1, p2, p3; |
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| 154 | #ifndef ARM_MATH_CM0_FAMILY |
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| 155 | q31_t T, S, R; |
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| 156 | q31_t coeff, out1, out2; |
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| 157 | const q15_t *pC = pCoef; |
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| 158 | q15_t *pSi = pSrc; |
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| 159 | q15_t *pSl = pSrc + fftLen; |
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| 160 | #else |
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| 161 | uint32_t ia, l; |
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| 162 | q15_t xt, yt, cosVal, sinVal; |
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| 163 | #endif |
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| 164 | |||
| 165 | n2 = fftLen >> 1; |
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| 166 | |||
| 167 | #ifndef ARM_MATH_CM0_FAMILY |
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| 168 | |||
| 169 | for (i = n2; i > 0; i--) |
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| 170 | { |
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| 171 | coeff = _SIMD32_OFFSET(pC); |
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| 172 | pC += 2; |
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| 173 | |||
| 174 | T = _SIMD32_OFFSET(pSi); |
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| 175 | T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1 |
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| 176 | |||
| 177 | S = _SIMD32_OFFSET(pSl); |
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| 178 | S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1 |
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| 179 | |||
| 180 | R = __QSUB16(T, S); |
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| 181 | |||
| 182 | _SIMD32_OFFSET(pSi) = __SHADD16(T, S); |
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| 183 | pSi += 2; |
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| 184 | |||
| 185 | #ifndef ARM_MATH_BIG_ENDIAN |
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| 186 | |||
| 187 | out1 = __SMUAD(coeff, R) >> 16; |
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| 188 | out2 = __SMUSDX(coeff, R); |
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| 189 | |||
| 190 | #else |
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| 191 | |||
| 192 | out1 = __SMUSDX(R, coeff) >> 16u; |
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| 193 | out2 = __SMUAD(coeff, R); |
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| 194 | |||
| 195 | #endif // #ifndef ARM_MATH_BIG_ENDIAN |
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| 196 | |||
| 197 | _SIMD32_OFFSET(pSl) = |
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| 198 | (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); |
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| 199 | pSl += 2; |
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| 200 | } |
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| 201 | |||
| 202 | #else // #ifndef ARM_MATH_CM0_FAMILY |
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| 203 | |||
| 204 | ia = 0; |
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| 205 | for (i = 0; i < n2; i++) |
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| 206 | { |
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| 207 | cosVal = pCoef[ia * 2]; |
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| 208 | sinVal = pCoef[(ia * 2) + 1]; |
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| 209 | ia++; |
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| 210 | |||
| 211 | l = i + n2; |
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| 212 | |||
| 213 | xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u); |
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| 214 | pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u; |
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| 215 | |||
| 216 | yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u); |
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| 217 | pSrc[2 * i + 1] = |
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| 218 | ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u; |
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| 219 | |||
| 220 | pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + |
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| 221 | ((int16_t) (((q31_t) yt * sinVal) >> 16))); |
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| 222 | |||
| 223 | pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - |
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| 224 | ((int16_t) (((q31_t) xt * sinVal) >> 16))); |
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| 225 | } |
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| 226 | |||
| 227 | #endif // #ifndef ARM_MATH_CM0_FAMILY |
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| 228 | |||
| 229 | // first col |
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| 230 | arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2u); |
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| 231 | // second col |
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| 232 | arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u); |
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| 233 | |||
| 234 | for (i = 0; i < fftLen >> 1; i++) |
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| 235 | { |
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| 236 | p0 = pSrc[4*i+0]; |
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| 237 | p1 = pSrc[4*i+1]; |
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| 238 | p2 = pSrc[4*i+2]; |
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| 239 | p3 = pSrc[4*i+3]; |
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| 240 | |||
| 241 | p0 <<= 1; |
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| 242 | p1 <<= 1; |
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| 243 | p2 <<= 1; |
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| 244 | p3 <<= 1; |
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| 245 | |||
| 246 | pSrc[4*i+0] = p0; |
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| 247 | pSrc[4*i+1] = p1; |
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| 248 | pSrc[4*i+2] = p2; |
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| 249 | pSrc[4*i+3] = p3; |
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| 250 | } |
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| 251 | } |
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| 252 | |||
| 253 | void arm_cfft_radix4by2_inverse_q15( |
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| 254 | q15_t * pSrc, |
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| 255 | uint32_t fftLen, |
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| 256 | const q15_t * pCoef) |
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| 257 | { |
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| 258 | uint32_t i; |
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| 259 | uint32_t n2; |
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| 260 | q15_t p0, p1, p2, p3; |
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| 261 | #ifndef ARM_MATH_CM0_FAMILY |
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| 262 | q31_t T, S, R; |
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| 263 | q31_t coeff, out1, out2; |
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| 264 | const q15_t *pC = pCoef; |
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| 265 | q15_t *pSi = pSrc; |
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| 266 | q15_t *pSl = pSrc + fftLen; |
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| 267 | #else |
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| 268 | uint32_t ia, l; |
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| 269 | q15_t xt, yt, cosVal, sinVal; |
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| 270 | #endif |
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| 271 | |||
| 272 | n2 = fftLen >> 1; |
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| 273 | |||
| 274 | #ifndef ARM_MATH_CM0_FAMILY |
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| 275 | |||
| 276 | for (i = n2; i > 0; i--) |
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| 277 | { |
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| 278 | coeff = _SIMD32_OFFSET(pC); |
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| 279 | pC += 2; |
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| 280 | |||
| 281 | T = _SIMD32_OFFSET(pSi); |
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| 282 | T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1 |
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| 283 | |||
| 284 | S = _SIMD32_OFFSET(pSl); |
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| 285 | S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1 |
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| 286 | |||
| 287 | R = __QSUB16(T, S); |
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| 288 | |||
| 289 | _SIMD32_OFFSET(pSi) = __SHADD16(T, S); |
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| 290 | pSi += 2; |
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| 291 | |||
| 292 | #ifndef ARM_MATH_BIG_ENDIAN |
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| 293 | |||
| 294 | out1 = __SMUSD(coeff, R) >> 16; |
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| 295 | out2 = __SMUADX(coeff, R); |
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| 296 | #else |
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| 297 | |||
| 298 | out1 = __SMUADX(R, coeff) >> 16u; |
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| 299 | out2 = __SMUSD(__QSUB(0, coeff), R); |
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| 300 | |||
| 301 | #endif // #ifndef ARM_MATH_BIG_ENDIAN |
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| 302 | |||
| 303 | _SIMD32_OFFSET(pSl) = |
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| 304 | (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); |
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| 305 | pSl += 2; |
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| 306 | } |
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| 307 | |||
| 308 | #else // #ifndef ARM_MATH_CM0_FAMILY |
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| 309 | |||
| 310 | ia = 0; |
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| 311 | for (i = 0; i < n2; i++) |
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| 312 | { |
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| 313 | cosVal = pCoef[ia * 2]; |
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| 314 | sinVal = pCoef[(ia * 2) + 1]; |
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| 315 | ia++; |
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| 316 | |||
| 317 | l = i + n2; |
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| 318 | xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u); |
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| 319 | pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u; |
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| 320 | |||
| 321 | yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u); |
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| 322 | pSrc[2 * i + 1] = |
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| 323 | ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u; |
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| 324 | |||
| 325 | pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - |
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| 326 | ((int16_t) (((q31_t) yt * sinVal) >> 16))); |
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| 327 | |||
| 328 | pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + |
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| 329 | ((int16_t) (((q31_t) xt * sinVal) >> 16))); |
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| 330 | } |
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| 331 | |||
| 332 | #endif // #ifndef ARM_MATH_CM0_FAMILY |
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| 333 | |||
| 334 | // first col |
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| 335 | arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2u); |
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| 336 | // second col |
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| 337 | arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u); |
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| 338 | |||
| 339 | for (i = 0; i < fftLen >> 1; i++) |
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| 340 | { |
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| 341 | p0 = pSrc[4*i+0]; |
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| 342 | p1 = pSrc[4*i+1]; |
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| 343 | p2 = pSrc[4*i+2]; |
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| 344 | p3 = pSrc[4*i+3]; |
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| 345 | |||
| 346 | p0 <<= 1; |
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| 347 | p1 <<= 1; |
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| 348 | p2 <<= 1; |
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| 349 | p3 <<= 1; |
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| 350 | |||
| 351 | pSrc[4*i+0] = p0; |
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| 352 | pSrc[4*i+1] = p1; |
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| 353 | pSrc[4*i+2] = p2; |
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| 354 | pSrc[4*i+3] = p3; |
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| 355 | } |
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| 356 | } |
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| 357 |