| /* |
| * Copyright (c) 2011 The WebRTC project authors. All Rights Reserved. |
| * |
| * Use of this source code is governed by a BSD-style license |
| * that can be found in the LICENSE file in the root of the source |
| * tree. An additional intellectual property rights grant can be found |
| * in the file PATENTS. All contributing project authors may |
| * be found in the AUTHORS file in the root of the source tree. |
| */ |
| |
| |
| /* |
| * This file contains the function WebRtcSpl_ComplexFFT(). |
| * The description header can be found in signal_processing_library.h |
| * |
| */ |
| |
| #include "signal_processing_library.h" |
| |
| #define CFFTSFT 14 |
| #define CFFTRND 1 |
| #define CFFTRND2 16384 |
| |
| #define CIFFTSFT 14 |
| #define CIFFTRND 1 |
| |
| static const WebRtc_Word16 kSinTable1024[] = { |
| 0, 201, 402, 603, 804, 1005, 1206, 1406, |
| 1607, 1808, 2009, 2209, 2410, 2610, 2811, 3011, |
| 3211, 3411, 3611, 3811, 4011, 4210, 4409, 4608, |
| 4807, 5006, 5205, 5403, 5601, 5799, 5997, 6195, |
| 6392, 6589, 6786, 6982, 7179, 7375, 7571, 7766, |
| 7961, 8156, 8351, 8545, 8739, 8932, 9126, 9319, |
| 9511, 9703, 9895, 10087, 10278, 10469, 10659, 10849, |
| 11038, 11227, 11416, 11604, 11792, 11980, 12166, 12353, |
| 12539, 12724, 12909, 13094, 13278, 13462, 13645, 13827, |
| 14009, 14191, 14372, 14552, 14732, 14911, 15090, 15268, |
| 15446, 15623, 15799, 15975, 16150, 16325, 16499, 16672, |
| 16845, 17017, 17189, 17360, 17530, 17699, 17868, 18036, |
| 18204, 18371, 18537, 18702, 18867, 19031, 19194, 19357, |
| 19519, 19680, 19840, 20000, 20159, 20317, 20474, 20631, |
| 20787, 20942, 21096, 21249, 21402, 21554, 21705, 21855, |
| 22004, 22153, 22301, 22448, 22594, 22739, 22883, 23027, |
| 23169, 23311, 23452, 23592, 23731, 23869, 24006, 24143, |
| 24278, 24413, 24546, 24679, 24811, 24942, 25072, 25201, |
| 25329, 25456, 25582, 25707, 25831, 25954, 26077, 26198, |
| 26318, 26437, 26556, 26673, 26789, 26905, 27019, 27132, |
| 27244, 27355, 27466, 27575, 27683, 27790, 27896, 28001, |
| 28105, 28208, 28309, 28410, 28510, 28608, 28706, 28802, |
| 28897, 28992, 29085, 29177, 29268, 29358, 29446, 29534, |
| 29621, 29706, 29790, 29873, 29955, 30036, 30116, 30195, |
| 30272, 30349, 30424, 30498, 30571, 30643, 30713, 30783, |
| 30851, 30918, 30984, 31049, |
| 31113, 31175, 31236, 31297, |
| 31356, 31413, 31470, 31525, 31580, 31633, 31684, 31735, |
| 31785, 31833, 31880, 31926, 31970, 32014, 32056, 32097, |
| 32137, 32176, 32213, 32249, 32284, 32318, 32350, 32382, |
| 32412, 32441, 32468, 32495, 32520, 32544, 32567, 32588, |
| 32609, 32628, 32646, 32662, 32678, 32692, 32705, 32717, |
| 32727, 32736, 32744, 32751, 32757, 32761, 32764, 32766, |
| 32767, 32766, 32764, 32761, 32757, 32751, 32744, 32736, |
| 32727, 32717, 32705, 32692, 32678, 32662, 32646, 32628, |
| 32609, 32588, 32567, 32544, 32520, 32495, 32468, 32441, |
| 32412, 32382, 32350, 32318, 32284, 32249, 32213, 32176, |
| 32137, 32097, 32056, 32014, 31970, 31926, 31880, 31833, |
| 31785, 31735, 31684, 31633, 31580, 31525, 31470, 31413, |
| 31356, 31297, 31236, 31175, 31113, 31049, 30984, 30918, |
| 30851, 30783, 30713, 30643, 30571, 30498, 30424, 30349, |
| 30272, 30195, 30116, 30036, 29955, 29873, 29790, 29706, |
| 29621, 29534, 29446, 29358, 29268, 29177, 29085, 28992, |
| 28897, 28802, 28706, 28608, 28510, 28410, 28309, 28208, |
| 28105, 28001, 27896, 27790, 27683, 27575, 27466, 27355, |
| 27244, 27132, 27019, 26905, 26789, 26673, 26556, 26437, |
| 26318, 26198, 26077, 25954, 25831, 25707, 25582, 25456, |
| 25329, 25201, 25072, 24942, 24811, 24679, 24546, 24413, |
| 24278, 24143, 24006, 23869, 23731, 23592, 23452, 23311, |
| 23169, 23027, 22883, 22739, 22594, 22448, 22301, 22153, |
| 22004, 21855, 21705, 21554, 21402, 21249, 21096, 20942, |
| 20787, 20631, 20474, 20317, 20159, 20000, 19840, 19680, |
| 19519, 19357, 19194, 19031, 18867, 18702, 18537, 18371, |
| 18204, 18036, 17868, 17699, 17530, 17360, 17189, 17017, |
| 16845, 16672, 16499, 16325, 16150, 15975, 15799, 15623, |
| 15446, 15268, 15090, 14911, 14732, 14552, 14372, 14191, |
| 14009, 13827, 13645, 13462, 13278, 13094, 12909, 12724, |
| 12539, 12353, 12166, 11980, 11792, 11604, 11416, 11227, |
| 11038, 10849, 10659, 10469, 10278, 10087, 9895, 9703, |
| 9511, 9319, 9126, 8932, 8739, 8545, 8351, 8156, |
| 7961, 7766, 7571, 7375, 7179, 6982, 6786, 6589, |
| 6392, 6195, 5997, 5799, 5601, 5403, 5205, 5006, |
| 4807, 4608, 4409, 4210, 4011, 3811, 3611, 3411, |
| 3211, 3011, 2811, 2610, 2410, 2209, 2009, 1808, |
| 1607, 1406, 1206, 1005, 804, 603, 402, 201, |
| 0, -201, -402, -603, -804, -1005, -1206, -1406, |
| -1607, -1808, -2009, -2209, -2410, -2610, -2811, -3011, |
| -3211, -3411, -3611, -3811, -4011, -4210, -4409, -4608, |
| -4807, -5006, -5205, -5403, -5601, -5799, -5997, -6195, |
| -6392, -6589, -6786, -6982, -7179, -7375, -7571, -7766, |
| -7961, -8156, -8351, -8545, -8739, -8932, -9126, -9319, |
| -9511, -9703, -9895, -10087, -10278, -10469, -10659, -10849, |
| -11038, -11227, -11416, -11604, -11792, -11980, -12166, -12353, |
| -12539, -12724, -12909, -13094, -13278, -13462, -13645, -13827, |
| -14009, -14191, -14372, -14552, -14732, -14911, -15090, -15268, |
| -15446, -15623, -15799, -15975, -16150, -16325, -16499, -16672, |
| -16845, -17017, -17189, -17360, -17530, -17699, -17868, -18036, |
| -18204, -18371, -18537, -18702, -18867, -19031, -19194, -19357, |
| -19519, -19680, -19840, -20000, -20159, -20317, -20474, -20631, |
| -20787, -20942, -21096, -21249, -21402, -21554, -21705, -21855, |
| -22004, -22153, -22301, -22448, -22594, -22739, -22883, -23027, |
| -23169, -23311, -23452, -23592, -23731, -23869, -24006, -24143, |
| -24278, -24413, -24546, -24679, -24811, -24942, -25072, -25201, |
| -25329, -25456, -25582, -25707, -25831, -25954, -26077, -26198, |
| -26318, -26437, -26556, -26673, -26789, -26905, -27019, -27132, |
| -27244, -27355, -27466, -27575, -27683, -27790, -27896, -28001, |
| -28105, -28208, -28309, -28410, -28510, -28608, -28706, -28802, |
| -28897, -28992, -29085, -29177, -29268, -29358, -29446, -29534, |
| -29621, -29706, -29790, -29873, -29955, -30036, -30116, -30195, |
| -30272, -30349, -30424, -30498, -30571, -30643, -30713, -30783, |
| -30851, -30918, -30984, -31049, -31113, -31175, -31236, -31297, |
| -31356, -31413, -31470, -31525, -31580, -31633, -31684, -31735, |
| -31785, -31833, -31880, -31926, -31970, -32014, -32056, -32097, |
| -32137, -32176, -32213, -32249, -32284, -32318, -32350, -32382, |
| -32412, -32441, -32468, -32495, -32520, -32544, -32567, -32588, |
| -32609, -32628, -32646, -32662, -32678, -32692, -32705, -32717, |
| -32727, -32736, -32744, -32751, -32757, -32761, -32764, -32766, |
| -32767, -32766, -32764, -32761, -32757, -32751, -32744, -32736, |
| -32727, -32717, -32705, -32692, -32678, -32662, -32646, -32628, |
| -32609, -32588, -32567, -32544, -32520, -32495, -32468, -32441, |
| -32412, -32382, -32350, -32318, -32284, -32249, -32213, -32176, |
| -32137, -32097, -32056, -32014, -31970, -31926, -31880, -31833, |
| -31785, -31735, -31684, -31633, -31580, -31525, -31470, -31413, |
| -31356, -31297, -31236, -31175, -31113, -31049, -30984, -30918, |
| -30851, -30783, -30713, -30643, -30571, -30498, -30424, -30349, |
| -30272, -30195, -30116, -30036, -29955, -29873, -29790, -29706, |
| -29621, -29534, -29446, -29358, -29268, -29177, -29085, -28992, |
| -28897, -28802, -28706, -28608, -28510, -28410, -28309, -28208, |
| -28105, -28001, -27896, -27790, -27683, -27575, -27466, -27355, |
| -27244, -27132, -27019, -26905, -26789, -26673, -26556, -26437, |
| -26318, -26198, -26077, -25954, -25831, -25707, -25582, -25456, |
| -25329, -25201, -25072, -24942, -24811, -24679, -24546, -24413, |
| -24278, -24143, -24006, -23869, -23731, -23592, -23452, -23311, |
| -23169, -23027, -22883, -22739, -22594, -22448, -22301, -22153, |
| -22004, -21855, -21705, -21554, -21402, -21249, -21096, -20942, |
| -20787, -20631, -20474, -20317, -20159, -20000, -19840, -19680, |
| -19519, -19357, -19194, -19031, -18867, -18702, -18537, -18371, |
| -18204, -18036, -17868, -17699, -17530, -17360, -17189, -17017, |
| -16845, -16672, -16499, -16325, -16150, -15975, -15799, -15623, |
| -15446, -15268, -15090, -14911, -14732, -14552, -14372, -14191, |
| -14009, -13827, -13645, -13462, -13278, -13094, -12909, -12724, |
| -12539, -12353, -12166, -11980, -11792, -11604, -11416, -11227, |
| -11038, -10849, -10659, -10469, -10278, -10087, -9895, -9703, |
| -9511, -9319, -9126, -8932, -8739, -8545, -8351, -8156, |
| -7961, -7766, -7571, -7375, -7179, -6982, -6786, -6589, |
| -6392, -6195, -5997, -5799, -5601, -5403, -5205, -5006, |
| -4807, -4608, -4409, -4210, -4011, -3811, -3611, -3411, |
| -3211, -3011, -2811, -2610, -2410, -2209, -2009, -1808, |
| -1607, -1406, -1206, -1005, -804, -603, -402, -201 |
| }; |
| |
| int WebRtcSpl_ComplexFFT(WebRtc_Word16 frfi[], int stages, int mode) |
| { |
| int i, j, l, k, istep, n, m; |
| WebRtc_Word16 wr, wi; |
| WebRtc_Word32 tr32, ti32, qr32, qi32; |
| |
| /* The 1024-value is a constant given from the size of kSinTable1024[], |
| * and should not be changed depending on the input parameter 'stages' |
| */ |
| n = 1 << stages; |
| if (n > 1024) |
| return -1; |
| |
| l = 1; |
| k = 10 - 1; /* Constant for given kSinTable1024[]. Do not change |
| depending on the input parameter 'stages' */ |
| |
| if (mode == 0) |
| { |
| // mode==0: Low-complexity and Low-accuracy mode |
| while (l < n) |
| { |
| istep = l << 1; |
| |
| for (m = 0; m < l; ++m) |
| { |
| j = m << k; |
| |
| /* The 256-value is a constant given as 1/4 of the size of |
| * kSinTable1024[], and should not be changed depending on the input |
| * parameter 'stages'. It will result in 0 <= j < N_SINE_WAVE/2 |
| */ |
| wr = kSinTable1024[j + 256]; |
| wi = -kSinTable1024[j]; |
| |
| for (i = m; i < n; i += istep) |
| { |
| j = i + l; |
| |
| tr32 = WEBRTC_SPL_RSHIFT_W32((WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j]) |
| - WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j + 1])), 15); |
| |
| ti32 = WEBRTC_SPL_RSHIFT_W32((WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j + 1]) |
| + WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j])), 15); |
| |
| qr32 = (WebRtc_Word32)frfi[2 * i]; |
| qi32 = (WebRtc_Word32)frfi[2 * i + 1]; |
| frfi[2 * j] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qr32 - tr32, 1); |
| frfi[2 * j + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qi32 - ti32, 1); |
| frfi[2 * i] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qr32 + tr32, 1); |
| frfi[2 * i + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qi32 + ti32, 1); |
| } |
| } |
| |
| --k; |
| l = istep; |
| |
| } |
| |
| } else |
| { |
| // mode==1: High-complexity and High-accuracy mode |
| while (l < n) |
| { |
| istep = l << 1; |
| |
| for (m = 0; m < l; ++m) |
| { |
| j = m << k; |
| |
| /* The 256-value is a constant given as 1/4 of the size of |
| * kSinTable1024[], and should not be changed depending on the input |
| * parameter 'stages'. It will result in 0 <= j < N_SINE_WAVE/2 |
| */ |
| wr = kSinTable1024[j + 256]; |
| wi = -kSinTable1024[j]; |
| |
| #ifdef WEBRTC_ARCH_ARM_V7A |
| WebRtc_Word32 wri; |
| WebRtc_Word32 frfi_r; |
| __asm__("pkhbt %0, %1, %2, lsl #16" : "=r"(wri) : |
| "r"((WebRtc_Word32)wr), "r"((WebRtc_Word32)wi)); |
| #endif |
| |
| for (i = m; i < n; i += istep) |
| { |
| j = i + l; |
| |
| #ifdef WEBRTC_ARCH_ARM_V7A |
| __asm__("pkhbt %0, %1, %2, lsl #16" : "=r"(frfi_r) : |
| "r"((WebRtc_Word32)frfi[2*j]), "r"((WebRtc_Word32)frfi[2*j +1])); |
| __asm__("smlsd %0, %1, %2, %3" : "=r"(tr32) : |
| "r"(wri), "r"(frfi_r), "r"(CFFTRND)); |
| __asm__("smladx %0, %1, %2, %3" : "=r"(ti32) : |
| "r"(wri), "r"(frfi_r), "r"(CFFTRND)); |
| |
| #else |
| tr32 = WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j]) |
| - WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j + 1]) + CFFTRND; |
| |
| ti32 = WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j + 1]) |
| + WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j]) + CFFTRND; |
| #endif |
| |
| tr32 = WEBRTC_SPL_RSHIFT_W32(tr32, 15 - CFFTSFT); |
| ti32 = WEBRTC_SPL_RSHIFT_W32(ti32, 15 - CFFTSFT); |
| |
| qr32 = ((WebRtc_Word32)frfi[2 * i]) << CFFTSFT; |
| qi32 = ((WebRtc_Word32)frfi[2 * i + 1]) << CFFTSFT; |
| |
| frfi[2 * j] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qr32 - tr32 + CFFTRND2), 1 + CFFTSFT); |
| frfi[2 * j + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qi32 - ti32 + CFFTRND2), 1 + CFFTSFT); |
| frfi[2 * i] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qr32 + tr32 + CFFTRND2), 1 + CFFTSFT); |
| frfi[2 * i + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qi32 + ti32 + CFFTRND2), 1 + CFFTSFT); |
| } |
| } |
| |
| --k; |
| l = istep; |
| } |
| } |
| return 0; |
| } |
| |
| int WebRtcSpl_ComplexIFFT(WebRtc_Word16 frfi[], int stages, int mode) |
| { |
| int i, j, l, k, istep, n, m, scale, shift; |
| WebRtc_Word16 wr, wi; |
| WebRtc_Word32 tr32, ti32, qr32, qi32; |
| WebRtc_Word32 tmp32, round2; |
| |
| /* The 1024-value is a constant given from the size of kSinTable1024[], |
| * and should not be changed depending on the input parameter 'stages' |
| */ |
| n = 1 << stages; |
| if (n > 1024) |
| return -1; |
| |
| scale = 0; |
| |
| l = 1; |
| k = 10 - 1; /* Constant for given kSinTable1024[]. Do not change |
| depending on the input parameter 'stages' */ |
| |
| while (l < n) |
| { |
| // variable scaling, depending upon data |
| shift = 0; |
| round2 = 8192; |
| |
| tmp32 = (WebRtc_Word32)WebRtcSpl_MaxAbsValueW16(frfi, 2 * n); |
| if (tmp32 > 13573) |
| { |
| shift++; |
| scale++; |
| round2 <<= 1; |
| } |
| if (tmp32 > 27146) |
| { |
| shift++; |
| scale++; |
| round2 <<= 1; |
| } |
| |
| istep = l << 1; |
| |
| if (mode == 0) |
| { |
| // mode==0: Low-complexity and Low-accuracy mode |
| for (m = 0; m < l; ++m) |
| { |
| j = m << k; |
| |
| /* The 256-value is a constant given as 1/4 of the size of |
| * kSinTable1024[], and should not be changed depending on the input |
| * parameter 'stages'. It will result in 0 <= j < N_SINE_WAVE/2 |
| */ |
| wr = kSinTable1024[j + 256]; |
| wi = kSinTable1024[j]; |
| |
| for (i = m; i < n; i += istep) |
| { |
| j = i + l; |
| |
| tr32 = WEBRTC_SPL_RSHIFT_W32((WEBRTC_SPL_MUL_16_16_RSFT(wr, frfi[2 * j], 0) |
| - WEBRTC_SPL_MUL_16_16_RSFT(wi, frfi[2 * j + 1], 0)), 15); |
| |
| ti32 = WEBRTC_SPL_RSHIFT_W32( |
| (WEBRTC_SPL_MUL_16_16_RSFT(wr, frfi[2 * j + 1], 0) |
| + WEBRTC_SPL_MUL_16_16_RSFT(wi,frfi[2*j],0)), 15); |
| |
| qr32 = (WebRtc_Word32)frfi[2 * i]; |
| qi32 = (WebRtc_Word32)frfi[2 * i + 1]; |
| frfi[2 * j] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qr32 - tr32, shift); |
| frfi[2 * j + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qi32 - ti32, shift); |
| frfi[2 * i] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qr32 + tr32, shift); |
| frfi[2 * i + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(qi32 + ti32, shift); |
| } |
| } |
| } else |
| { |
| // mode==1: High-complexity and High-accuracy mode |
| |
| for (m = 0; m < l; ++m) |
| { |
| j = m << k; |
| |
| /* The 256-value is a constant given as 1/4 of the size of |
| * kSinTable1024[], and should not be changed depending on the input |
| * parameter 'stages'. It will result in 0 <= j < N_SINE_WAVE/2 |
| */ |
| wr = kSinTable1024[j + 256]; |
| wi = kSinTable1024[j]; |
| |
| #ifdef WEBRTC_ARCH_ARM_V7A |
| WebRtc_Word32 wri; |
| WebRtc_Word32 frfi_r; |
| __asm__("pkhbt %0, %1, %2, lsl #16" : "=r"(wri) : |
| "r"((WebRtc_Word32)wr), "r"((WebRtc_Word32)wi)); |
| #endif |
| |
| for (i = m; i < n; i += istep) |
| { |
| j = i + l; |
| |
| #ifdef WEBRTC_ARCH_ARM_V7A |
| __asm__("pkhbt %0, %1, %2, lsl #16" : "=r"(frfi_r) : |
| "r"((WebRtc_Word32)frfi[2*j]), "r"((WebRtc_Word32)frfi[2*j +1])); |
| __asm__("smlsd %0, %1, %2, %3" : "=r"(tr32) : |
| "r"(wri), "r"(frfi_r), "r"(CIFFTRND)); |
| __asm__("smladx %0, %1, %2, %3" : "=r"(ti32) : |
| "r"(wri), "r"(frfi_r), "r"(CIFFTRND)); |
| #else |
| |
| tr32 = WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j]) |
| - WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j + 1]) + CIFFTRND; |
| |
| ti32 = WEBRTC_SPL_MUL_16_16(wr, frfi[2 * j + 1]) |
| + WEBRTC_SPL_MUL_16_16(wi, frfi[2 * j]) + CIFFTRND; |
| #endif |
| tr32 = WEBRTC_SPL_RSHIFT_W32(tr32, 15 - CIFFTSFT); |
| ti32 = WEBRTC_SPL_RSHIFT_W32(ti32, 15 - CIFFTSFT); |
| |
| qr32 = ((WebRtc_Word32)frfi[2 * i]) << CIFFTSFT; |
| qi32 = ((WebRtc_Word32)frfi[2 * i + 1]) << CIFFTSFT; |
| |
| frfi[2 * j] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32((qr32 - tr32+round2), |
| shift+CIFFTSFT); |
| frfi[2 * j + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qi32 - ti32 + round2), shift + CIFFTSFT); |
| frfi[2 * i] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32((qr32 + tr32 + round2), |
| shift + CIFFTSFT); |
| frfi[2 * i + 1] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32( |
| (qi32 + ti32 + round2), shift + CIFFTSFT); |
| } |
| } |
| |
| } |
| --k; |
| l = istep; |
| } |
| return scale; |
| } |
