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ffft.S
executable file
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ffft.S
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;-----------------------------------------------------------------------------;
; Fixed-point FFT routines for megaAVRs (C)ChaN, 2005
;-----------------------------------------------------------------------------;
;
; void fft_input (const int16_t *array_src, complex_t *array_bfly);
; void fft_execute (complex_t *array_bfly);
; void fft_output (complex_t *array_bfly, uint16_t *array_dst);
;
; <array_src>: Wave form to be processed.
; <array_bfly>: Complex array for butterfly operations.
; <array_dst>: Spectrum output buffer.
;
; These functions must be called in sequence to do a DFT in FFT algorithm.
; fft_input() fills the complex array with a wave form to prepare butterfly
; operations. A hamming window is applied at the same time.
; fft_execute() executes the butterfly operations.
; fft_output() re-orders the results, converts the complex spectrum into
; scalar spectrum and output it in linear scale.
;
; The number of points FFT_N is defined in "ffft.h" and the value can be
; power of 2 in range of 64 - 1024.
;
;----------------------------------------------------------------------------;
; 16bit fixed-point FFT performance with MegaAVRs
; (Running at 16MHz/internal SRAM)
;
; Points: Input, Execute, Output, Total: Throughput
; 64pts: .17ms, 2.0ms, 1.2ms, 3.4ms: 19.0kpps
; 128pts: .33ms, 4.6ms, 2.4ms, 7.3ms: 17.5kpps
; 256pts: .66ms, 10.4ms, 4.9ms, 15.9ms: 16.1kpps
; 512pts: 1.3ms, 23.2ms, 9.7ms, 34.2ms: 14.9kpps
; 1024pts: 2.7ms, 51.7ms, 19.4ms, 73.7ms: 13.9kpps
;----------------------------------------------------------------------------;
.nolist
#define FFFT_ASM
#include "ffft.h"
.list
#if FFT_N == 1024
#define FFT_B 10
#elif FFT_N == 512
#define FFT_B 9
#elif FFT_N == 256
#define FFT_B 8
#elif FFT_N == 128
#define FFT_B 7
#elif FFT_N == 64
#define FFT_B 6
#else
#error Wrong setting of FFT_N.
#endif
;----------------------------------------------------------------------------;
; Constant Tables
.global tbl_window
tbl_window: ; tbl_window[] = ... (This is a Hamming window)
#if FFT_N == 1024
.dc.w 2621, 2621, 2622, 2623, 2625, 2628, 2631, 2635, 2639, 2644, 2649, 2655, 2662, 2669, 2676, 2685
.dc.w 2693, 2703, 2713, 2723, 2734, 2746, 2758, 2771, 2784, 2798, 2812, 2827, 2843, 2859, 2876, 2893
.dc.w 2910, 2929, 2948, 2967, 2987, 3008, 3029, 3050, 3073, 3095, 3119, 3142, 3167, 3192, 3217, 3243
.dc.w 3270, 3297, 3325, 3353, 3382, 3411, 3441, 3471, 3502, 3533, 3565, 3598, 3631, 3664, 3698, 3733
.dc.w 3768, 3804, 3840, 3877, 3914, 3952, 3990, 4029, 4068, 4108, 4148, 4189, 4230, 4272, 4314, 4357
.dc.w 4401, 4444, 4489, 4534, 4579, 4625, 4671, 4718, 4765, 4813, 4861, 4910, 4959, 5009, 5059, 5110
.dc.w 5161, 5213, 5265, 5317, 5370, 5424, 5478, 5532, 5587, 5642, 5698, 5754, 5811, 5868, 5926, 5984
.dc.w 6042, 6101, 6160, 6220, 6280, 6341, 6402, 6464, 6525, 6588, 6651, 6714, 6777, 6841, 6906, 6970
.dc.w 7036, 7101, 7167, 7234, 7300, 7368, 7435, 7503, 7571, 7640, 7709, 7779, 7849, 7919, 7989, 8060
.dc.w 8132, 8203, 8275, 8348, 8420, 8493, 8567, 8641, 8715, 8789, 8864, 8939, 9015, 9090, 9166, 9243
.dc.w 9320, 9397, 9474, 9552, 9630, 9708, 9787, 9866, 9945, 10024, 10104, 10184, 10264, 10345, 10426, 10507
.dc.w 10588, 10670, 10752, 10834, 10917, 10999, 11082, 11166, 11249, 11333, 11417, 11501, 11586, 11670, 11755, 11840
.dc.w 11926, 12011, 12097, 12183, 12269, 12355, 12442, 12529, 12616, 12703, 12790, 12878, 12966, 13054, 13142, 13230
.dc.w 13318, 13407, 13496, 13584, 13674, 13763, 13852, 13942, 14031, 14121, 14211, 14301, 14391, 14481, 14572, 14662
.dc.w 14753, 14844, 14935, 15026, 15117, 15208, 15299, 15391, 15482, 15574, 15665, 15757, 15849, 15940, 16032, 16124
.dc.w 16216, 16308, 16400, 16493, 16585, 16677, 16769, 16862, 16954, 17046, 17139, 17231, 17324, 17416, 17509, 17601
.dc.w 17694, 17786, 17879, 17971, 18064, 18156, 18248, 18341, 18433, 18526, 18618, 18710, 18802, 18895, 18987, 19079
.dc.w 19171, 19263, 19355, 19447, 19539, 19630, 19722, 19814, 19905, 19997, 20088, 20179, 20271, 20362, 20453, 20543
.dc.w 20634, 20725, 20815, 20906, 20996, 21086, 21176, 21266, 21356, 21446, 21535, 21625, 21714, 21803, 21892, 21980
.dc.w 22069, 22157, 22246, 22334, 22422, 22509, 22597, 22684, 22772, 22859, 22945, 23032, 23118, 23204, 23290, 23376
.dc.w 23462, 23547, 23632, 23717, 23802, 23886, 23970, 24054, 24138, 24222, 24305, 24388, 24471, 24553, 24635, 24717
.dc.w 24799, 24880, 24962, 25042, 25123, 25203, 25283, 25363, 25443, 25522, 25601, 25679, 25758, 25836, 25913, 25991
.dc.w 26068, 26144, 26221, 26297, 26373, 26448, 26523, 26598, 26673, 26747, 26820, 26894, 26967, 27040, 27112, 27184
.dc.w 27256, 27327, 27398, 27469, 27539, 27609, 27678, 27747, 27816, 27884, 27952, 28020, 28087, 28154, 28220, 28286
.dc.w 28352, 28417, 28482, 28546, 28610, 28674, 28737, 28800, 28862, 28924, 28985, 29046, 29107, 29167, 29227, 29286
.dc.w 29345, 29404, 29462, 29519, 29576, 29633, 29689, 29745, 29800, 29855, 29910, 29963, 30017, 30070, 30123, 30175
.dc.w 30226, 30277, 30328, 30378, 30428, 30477, 30526, 30574, 30622, 30669, 30716, 30762, 30808, 30854, 30899, 30943
.dc.w 30987, 31030, 31073, 31115, 31157, 31198, 31239, 31280, 31319, 31359, 31397, 31436, 31473, 31511, 31547, 31583
.dc.w 31619, 31654, 31689, 31723, 31756, 31790, 31822, 31854, 31885, 31916, 31947, 31976, 32006, 32034, 32063, 32090
.dc.w 32117, 32144, 32170, 32196, 32220, 32245, 32269, 32292, 32315, 32337, 32359, 32380, 32400, 32420, 32440, 32459
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.dc.w 20634, 20544, 20453, 20362, 20271, 20179, 20088, 19997, 19905, 19814, 19722, 19631, 19539, 19447, 19355, 19263
.dc.w 19171, 19079, 18987, 18895, 18803, 18710, 18618, 18526, 18433, 18341, 18249, 18156, 18064, 17971, 17879, 17786
.dc.w 17694, 17601, 17509, 17416, 17324, 17231, 17139, 17047, 16954, 16862, 16769, 16677, 16585, 16493, 16401, 16308
.dc.w 16216, 16124, 16032, 15940, 15849, 15757, 15665, 15574, 15482, 15391, 15299, 15208, 15117, 15026, 14935, 14844
.dc.w 14753, 14663, 14572, 14482, 14391, 14301, 14211, 14121, 14031, 13942, 13852, 13763, 13674, 13585, 13496, 13407
.dc.w 13318, 13230, 13142, 13054, 12966, 12878, 12790, 12703, 12616, 12529, 12442, 12355, 12269, 12183, 12097, 12011
.dc.w 11926, 11840, 11755, 11670, 11586, 11501, 11417, 11333, 11249, 11166, 11083, 11000, 10917, 10834, 10752, 10670
.dc.w 10588, 10507, 10426, 10345, 10264, 10184, 10104, 10024, 9945, 9866, 9787, 9708, 9630, 9552, 9474, 9397
.dc.w 9320, 9243, 9167, 9090, 9015, 8939, 8864, 8789, 8715, 8641, 8567, 8494, 8420, 8348, 8275, 8203
.dc.w 8132, 8060, 7989, 7919, 7849, 7779, 7709, 7640, 7571, 7503, 7435, 7368, 7300, 7234, 7167, 7101
.dc.w 7036, 6970, 6906, 6841, 6777, 6714, 6651, 6588, 6526, 6464, 6402, 6341, 6280, 6220, 6160, 6101
.dc.w 6042, 5984, 5926, 5868, 5811, 5754, 5698, 5642, 5587, 5532, 5478, 5424, 5370, 5317, 5265, 5213
.dc.w 5161, 5110, 5059, 5009, 4959, 4910, 4861, 4813, 4765, 4718, 4671, 4625, 4579, 4534, 4489, 4445
.dc.w 4401, 4357, 4314, 4272, 4230, 4189, 4148, 4108, 4068, 4029, 3990, 3952, 3914, 3877, 3840, 3804
.dc.w 3768, 3733, 3699, 3664, 3631, 3598, 3565, 3533, 3502, 3471, 3441, 3411, 3382, 3353, 3325, 3297
.dc.w 3270, 3243, 3217, 3192, 3167, 3142, 3119, 3095, 3073, 3050, 3029, 3008, 2987, 2967, 2948, 2929
.dc.w 2910, 2893, 2876, 2859, 2843, 2827, 2812, 2798, 2784, 2771, 2758, 2746, 2734, 2723, 2713, 2703
.dc.w 2693, 2685, 2676, 2669, 2662, 2655, 2649, 2644, 2639, 2635, 2631, 2628, 2625, 2623, 2622, 2621
#elif FFT_N == 512
.dc.w 2621, 2622, 2625, 2631, 2639, 2649, 2662, 2676, 2693, 2713, 2734, 2758, 2784, 2812, 2843, 2876
.dc.w 2910, 2948, 2987, 3029, 3073, 3119, 3167, 3217, 3270, 3325, 3382, 3441, 3502, 3565, 3631, 3698
.dc.w 3768, 3840, 3914, 3990, 4068, 4148, 4230, 4314, 4401, 4489, 4579, 4671, 4765, 4861, 4959, 5059
.dc.w 5161, 5265, 5370, 5478, 5587, 5698, 5811, 5926, 6042, 6160, 6280, 6402, 6525, 6651, 6777, 6906
.dc.w 7036, 7167, 7300, 7435, 7571, 7709, 7849, 7989, 8132, 8275, 8420, 8567, 8715, 8864, 9015, 9166
.dc.w 9320, 9474, 9630, 9787, 9945, 10104, 10264, 10426, 10588, 10752, 10917, 11082, 11249, 11417, 11586, 11755
.dc.w 11926, 12097, 12269, 12442, 12616, 12790, 12966, 13142, 13318, 13496, 13674, 13852, 14031, 14211, 14391, 14572
.dc.w 14753, 14935, 15117, 15299, 15482, 15665, 15849, 16032, 16216, 16400, 16585, 16769, 16954, 17139, 17324, 17509
.dc.w 17694, 17879, 18064, 18248, 18433, 18618, 18802, 18987, 19171, 19355, 19539, 19722, 19905, 20088, 20271, 20453
.dc.w 20634, 20815, 20996, 21176, 21356, 21535, 21714, 21892, 22069, 22246, 22422, 22597, 22772, 22945, 23118, 23290
.dc.w 23462, 23632, 23802, 23970, 24138, 24305, 24471, 24635, 24799, 24962, 25123, 25283, 25443, 25601, 25758, 25913
.dc.w 26068, 26221, 26373, 26523, 26673, 26820, 26967, 27112, 27256, 27398, 27539, 27678, 27816, 27952, 28087, 28220
.dc.w 28352, 28482, 28610, 28737, 28862, 28985, 29107, 29227, 29345, 29462, 29576, 29689, 29800, 29910, 30017, 30123
.dc.w 30226, 30328, 30428, 30526, 30622, 30716, 30808, 30899, 30987, 31073, 31157, 31239, 31319, 31397, 31473, 31547
.dc.w 31619, 31689, 31756, 31822, 31885, 31947, 32006, 32063, 32117, 32170, 32220, 32269, 32315, 32359, 32400, 32440
.dc.w 32477, 32512, 32545, 32575, 32603, 32629, 32653, 32675, 32694, 32711, 32726, 32738, 32748, 32756, 32762, 32765
.dc.w 32766, 32765, 32762, 32756, 32748, 32738, 32726, 32711, 32694, 32675, 32653, 32629, 32603, 32575, 32545, 32512
.dc.w 32477, 32440, 32400, 32359, 32315, 32269, 32221, 32170, 32117, 32063, 32006, 31947, 31885, 31822, 31757, 31689
.dc.w 31619, 31547, 31473, 31397, 31319, 31239, 31157, 31073, 30987, 30899, 30808, 30716, 30622, 30526, 30428, 30328
.dc.w 30226, 30123, 30017, 29910, 29800, 29689, 29576, 29462, 29345, 29227, 29107, 28985, 28862, 28737, 28610, 28482
.dc.w 28352, 28220, 28087, 27952, 27816, 27678, 27539, 27398, 27256, 27112, 26967, 26820, 26673, 26523, 26373, 26221
.dc.w 26068, 25913, 25758, 25601, 25443, 25283, 25123, 24962, 24799, 24635, 24471, 24305, 24138, 23970, 23802, 23632
.dc.w 23462, 23291, 23118, 22945, 22772, 22597, 22422, 22246, 22069, 21892, 21714, 21535, 21356, 21176, 20996, 20815
.dc.w 20634, 20453, 20271, 20088, 19905, 19722, 19539, 19355, 19171, 18987, 18803, 18618, 18433, 18249, 18064, 17879
.dc.w 17694, 17509, 17324, 17139, 16954, 16769, 16585, 16401, 16216, 16032, 15849, 15665, 15482, 15299, 15117, 14935
.dc.w 14753, 14572, 14391, 14211, 14031, 13852, 13674, 13496, 13318, 13142, 12966, 12790, 12616, 12442, 12269, 12097
.dc.w 11926, 11755, 11586, 11417, 11249, 11083, 10917, 10752, 10588, 10426, 10264, 10104, 9945, 9787, 9630, 9474
.dc.w 9320, 9167, 9015, 8864, 8715, 8567, 8420, 8275, 8132, 7989, 7849, 7709, 7571, 7435, 7300, 7167
.dc.w 7036, 6906, 6777, 6651, 6526, 6402, 6280, 6160, 6042, 5926, 5811, 5698, 5587, 5478, 5370, 5265
.dc.w 5161, 5059, 4959, 4861, 4765, 4671, 4579, 4489, 4401, 4314, 4230, 4148, 4068, 3990, 3914, 3840
.dc.w 3768, 3699, 3631, 3565, 3502, 3441, 3382, 3325, 3270, 3217, 3167, 3119, 3073, 3029, 2987, 2948
.dc.w 2910, 2876, 2843, 2812, 2784, 2758, 2734, 2713, 2693, 2676, 2662, 2649, 2639, 2631, 2625, 2622
#elif FFT_N == 256
.dc.w 2621, 2625, 2639, 2662, 2693, 2734, 2784, 2843, 2910, 2987, 3073, 3167, 3270, 3382, 3502, 3631
.dc.w 3768, 3914, 4068, 4230, 4401, 4579, 4765, 4959, 5161, 5370, 5587, 5811, 6042, 6280, 6525, 6777
.dc.w 7036, 7300, 7571, 7849, 8132, 8420, 8715, 9015, 9320, 9630, 9945, 10264, 10588, 10917, 11249, 11586
.dc.w 11926, 12269, 12616, 12966, 13318, 13674, 14031, 14391, 14753, 15117, 15482, 15849, 16216, 16585, 16954, 17324
.dc.w 17694, 18064, 18433, 18802, 19171, 19539, 19905, 20271, 20634, 20996, 21356, 21714, 22069, 22422, 22772, 23118
.dc.w 23462, 23802, 24138, 24471, 24799, 25123, 25443, 25758, 26068, 26373, 26673, 26967, 27256, 27539, 27816, 28087
.dc.w 28352, 28610, 28862, 29107, 29345, 29576, 29800, 30017, 30226, 30428, 30622, 30808, 30987, 31157, 31319, 31473
.dc.w 31619, 31756, 31885, 32006, 32117, 32220, 32315, 32400, 32477, 32545, 32603, 32653, 32694, 32726, 32748, 32762
.dc.w 32766, 32762, 32748, 32726, 32694, 32653, 32603, 32545, 32477, 32400, 32315, 32221, 32117, 32006, 31885, 31757
.dc.w 31619, 31473, 31319, 31157, 30987, 30808, 30622, 30428, 30226, 30017, 29800, 29576, 29345, 29107, 28862, 28610
.dc.w 28352, 28087, 27816, 27539, 27256, 26967, 26673, 26373, 26068, 25758, 25443, 25123, 24799, 24471, 24138, 23802
.dc.w 23462, 23118, 22772, 22422, 22069, 21714, 21356, 20996, 20634, 20271, 19905, 19539, 19171, 18803, 18433, 18064
.dc.w 17694, 17324, 16954, 16585, 16216, 15849, 15482, 15117, 14753, 14391, 14031, 13674, 13318, 12966, 12616, 12269
.dc.w 11926, 11586, 11249, 10917, 10588, 10264, 9945, 9630, 9320, 9015, 8715, 8420, 8132, 7849, 7571, 7300
.dc.w 7036, 6777, 6526, 6280, 6042, 5811, 5587, 5370, 5161, 4959, 4765, 4579, 4401, 4230, 4068, 3914
.dc.w 3768, 3631, 3502, 3382, 3270, 3167, 3073, 2987, 2910, 2843, 2784, 2734, 2693, 2662, 2639, 2625
#elif FFT_N == 128
.dc.w 2621, 2639, 2693, 2784, 2910, 3073, 3270, 3502, 3768, 4068, 4401, 4765, 5161, 5587, 6042, 6525
.dc.w 7036, 7571, 8132, 8715, 9320, 9945, 10588, 11249, 11926, 12616, 13318, 14031, 14753, 15482, 16216, 16954
.dc.w 17694, 18433, 19171, 19905, 20634, 21356, 22069, 22772, 23462, 24138, 24799, 25443, 26068, 26673, 27256, 27816
.dc.w 28352, 28862, 29345, 29800, 30226, 30622, 30987, 31319, 31619, 31885, 32117, 32315, 32477, 32603, 32694, 32748
.dc.w 32766, 32748, 32694, 32603, 32477, 32315, 32117, 31885, 31619, 31319, 30987, 30622, 30226, 29800, 29345, 28862
.dc.w 28352, 27816, 27256, 26673, 26068, 25443, 24799, 24138, 23462, 22772, 22069, 21356, 20634, 19905, 19171, 18433
.dc.w 17694, 16954, 16216, 15482, 14753, 14031, 13318, 12616, 11926, 11249, 10588, 9945, 9320, 8715, 8132, 7571
.dc.w 7036, 6526, 6042, 5587, 5161, 4765, 4401, 4068, 3768, 3502, 3270, 3073, 2910, 2784, 2693, 2639
#elif FFT_N == 64
.dc.w 2621, 2693, 2910, 3270, 3768, 4401, 5161, 6042, 7036, 8132, 9320, 10588, 11926, 13318, 14753, 16216
.dc.w 17694, 19171, 20634, 22069, 23462, 24799, 26068, 27256, 28352, 29345, 30226, 30987, 31619, 32117, 32477, 32694
.dc.w 32766, 32694, 32477, 32117, 31619, 30987, 30226, 29345, 28352, 27256, 26068, 24799, 23462, 22069, 20634, 19171
.dc.w 17694, 16216, 14753, 13318, 11926, 10588, 9320, 8132, 7036, 6042, 5161, 4401, 3768, 3270, 2910, 2693
#endif
tbl_cos_sin: ; Table of {cos(x),sin(x)}, (0 <= x < pi, in FFT_N/2 steps)
#if FFT_N == 1024
.dc.w 32767, 0, 32766, 201, 32764, 402, 32761, 603, 32757, 804, 32751, 1005, 32744, 1206, 32736, 1406
.dc.w 32727, 1607, 32717, 1808, 32705, 2009, 32692, 2209, 32678, 2410, 32662, 2610, 32646, 2811, 32628, 3011
.dc.w 32609, 3211, 32588, 3411, 32567, 3611, 32544, 3811, 32520, 4011, 32495, 4210, 32468, 4409, 32441, 4608
.dc.w 32412, 4807, 32382, 5006, 32350, 5205, 32318, 5403, 32284, 5601, 32249, 5799, 32213, 5997, 32176, 6195
.dc.w 32137, 6392, 32097, 6589, 32056, 6786, 32014, 6982, 31970, 7179, 31926, 7375, 31880, 7571, 31833, 7766
.dc.w 31785, 7961, 31735, 8156, 31684, 8351, 31633, 8545, 31580, 8739, 31525, 8932, 31470, 9126, 31413, 9319
.dc.w 31356, 9511, 31297, 9703, 31236, 9895, 31175, 10087, 31113, 10278, 31049, 10469, 30984, 10659, 30918, 10849
.dc.w 30851, 11038, 30783, 11227, 30713, 11416, 30643, 11604, 30571, 11792, 30498, 11980, 30424, 12166, 30349, 12353
.dc.w 30272, 12539, 30195, 12724, 30116, 12909, 30036, 13094, 29955, 13278, 29873, 13462, 29790, 13645, 29706, 13827
.dc.w 29621, 14009, 29534, 14191, 29446, 14372, 29358, 14552, 29268, 14732, 29177, 14911, 29085, 15090, 28992, 15268
.dc.w 28897, 15446, 28802, 15623, 28706, 15799, 28608, 15975, 28510, 16150, 28410, 16325, 28309, 16499, 28208, 16672
.dc.w 28105, 16845, 28001, 17017, 27896, 17189, 27790, 17360, 27683, 17530, 27575, 17699, 27466, 17868, 27355, 18036
.dc.w 27244, 18204, 27132, 18371, 27019, 18537, 26905, 18702, 26789, 18867, 26673, 19031, 26556, 19194, 26437, 19357
.dc.w 26318, 19519, 26198, 19680, 26077, 19840, 25954, 20000, 25831, 20159, 25707, 20317, 25582, 20474, 25456, 20631
.dc.w 25329, 20787, 25201, 20942, 25072, 21096, 24942, 21249, 24811, 21402, 24679, 21554, 24546, 21705, 24413, 21855
.dc.w 24278, 22004, 24143, 22153, 24006, 22301, 23869, 22448, 23731, 22594, 23592, 22739, 23452, 22883, 23311, 23027
.dc.w 23169, 23169, 23027, 23311, 22883, 23452, 22739, 23592, 22594, 23731, 22448, 23869, 22301, 24006, 22153, 24143
.dc.w 22004, 24278, 21855, 24413, 21705, 24546, 21554, 24679, 21402, 24811, 21249, 24942, 21096, 25072, 20942, 25201
.dc.w 20787, 25329, 20631, 25456, 20474, 25582, 20317, 25707, 20159, 25831, 20000, 25954, 19840, 26077, 19680, 26198
.dc.w 19519, 26318, 19357, 26437, 19194, 26556, 19031, 26673, 18867, 26789, 18702, 26905, 18537, 27019, 18371, 27132
.dc.w 18204, 27244, 18036, 27355, 17868, 27466, 17699, 27575, 17530, 27683, 17360, 27790, 17189, 27896, 17017, 28001
.dc.w 16845, 28105, 16672, 28208, 16499, 28309, 16325, 28410, 16150, 28510, 15975, 28608, 15799, 28706, 15623, 28802
.dc.w 15446, 28897, 15268, 28992, 15090, 29085, 14911, 29177, 14732, 29268, 14552, 29358, 14372, 29446, 14191, 29534
.dc.w 14009, 29621, 13827, 29706, 13645, 29790, 13462, 29873, 13278, 29955, 13094, 30036, 12909, 30116, 12724, 30195
.dc.w 12539, 30272, 12353, 30349, 12166, 30424, 11980, 30498, 11792, 30571, 11604, 30643, 11416, 30713, 11227, 30783
.dc.w 11038, 30851, 10849, 30918, 10659, 30984, 10469, 31049, 10278, 31113, 10087, 31175, 9895, 31236, 9704, 31297
.dc.w 9511, 31356, 9319, 31413, 9126, 31470, 8933, 31525, 8739, 31580, 8545, 31633, 8351, 31684, 8156, 31735
.dc.w 7961, 31785, 7766, 31833, 7571, 31880, 7375, 31926, 7179, 31970, 6983, 32014, 6786, 32056, 6589, 32097
.dc.w 6392, 32137, 6195, 32176, 5997, 32213, 5799, 32249, 5601, 32284, 5403, 32318, 5205, 32350, 5006, 32382
.dc.w 4807, 32412, 4608, 32441, 4409, 32468, 4210, 32495, 4011, 32520, 3811, 32544, 3611, 32567, 3411, 32588
.dc.w 3211, 32609, 3011, 32628, 2811, 32646, 2610, 32662, 2410, 32678, 2209, 32692, 2009, 32705, 1808, 32717
.dc.w 1607, 32727, 1407, 32736, 1206, 32744, 1005, 32751, 804, 32757, 603, 32761, 402, 32764, 201, 32766
.dc.w 0, 32766, -201, 32766, -402, 32764, -603, 32761, -804, 32757, -1005, 32751, -1206, 32744, -1406, 32736
.dc.w -1607, 32727, -1808, 32717, -2009, 32705, -2209, 32692, -2410, 32678, -2610, 32662, -2811, 32646, -3011, 32628
.dc.w -3211, 32609, -3411, 32588, -3611, 32567, -3811, 32544, -4010, 32520, -4210, 32495, -4409, 32468, -4608, 32441
.dc.w -4807, 32412, -5006, 32382, -5205, 32350, -5403, 32318, -5601, 32284, -5799, 32249, -5997, 32213, -6195, 32176
.dc.w -6392, 32137, -6589, 32097, -6786, 32056, -6982, 32014, -7179, 31970, -7375, 31926, -7571, 31880, -7766, 31833
.dc.w -7961, 31785, -8156, 31735, -8351, 31684, -8545, 31633, -8739, 31580, -8932, 31525, -9126, 31470, -9319, 31413
.dc.w -9511, 31356, -9703, 31297, -9895, 31236, -10087, 31175, -10278, 31113, -10469, 31049, -10659, 30984, -10849, 30918
.dc.w -11038, 30851, -11227, 30783, -11416, 30713, -11604, 30643, -11792, 30571, -11979, 30498, -12166, 30424, -12353, 30349
.dc.w -12539, 30272, -12724, 30195, -12909, 30116, -13094, 30036, -13278, 29955, -13462, 29873, -13645, 29790, -13827, 29706
.dc.w -14009, 29621, -14191, 29534, -14372, 29446, -14552, 29358, -14732, 29268, -14911, 29177, -15090, 29085, -15268, 28992
.dc.w -15446, 28897, -15623, 28802, -15799, 28706, -15975, 28608, -16150, 28510, -16325, 28410, -16499, 28309, -16672, 28208
.dc.w -16845, 28105, -17017, 28001, -17189, 27896, -17360, 27790, -17530, 27683, -17699, 27575, -17868, 27466, -18036, 27355
.dc.w -18204, 27244, -18371, 27132, -18537, 27019, -18702, 26905, -18867, 26789, -19031, 26673, -19194, 26556, -19357, 26438
.dc.w -19519, 26318, -19680, 26198, -19840, 26077, -20000, 25954, -20159, 25831, -20317, 25707, -20474, 25582, -20631, 25456
.dc.w -20787, 25329, -20942, 25201, -21096, 25072, -21249, 24942, -21402, 24811, -21554, 24679, -21705, 24546, -21855, 24413
.dc.w -22004, 24278, -22153, 24143, -22301, 24006, -22448, 23869, -22594, 23731, -22739, 23592, -22883, 23452, -23027, 23311
.dc.w -23169, 23169, -23311, 23027, -23452, 22883, -23592, 22739, -23731, 22594, -23869, 22448, -24006, 22301, -24143, 22153
.dc.w -24278, 22005, -24413, 21855, -24546, 21705, -24679, 21554, -24811, 21402, -24942, 21249, -25072, 21096, -25201, 20942
.dc.w -25329, 20787, -25456, 20631, -25582, 20474, -25707, 20317, -25831, 20159, -25954, 20000, -26077, 19840, -26198, 19680
.dc.w -26318, 19519, -26437, 19357, -26556, 19194, -26673, 19031, -26789, 18867, -26905, 18702, -27019, 18537, -27132, 18371
.dc.w -27244, 18204, -27355, 18036, -27466, 17868, -27575, 17699, -27683, 17530, -27790, 17360, -27896, 17189, -28001, 17017
.dc.w -28105, 16845, -28207, 16672, -28309, 16499, -28410, 16325, -28510, 16150, -28608, 15975, -28706, 15799, -28802, 15623
.dc.w -28897, 15446, -28992, 15268, -29085, 15090, -29177, 14911, -29268, 14732, -29358, 14552, -29446, 14372, -29534, 14191
.dc.w -29620, 14009, -29706, 13827, -29790, 13645, -29873, 13462, -29955, 13278, -30036, 13094, -30116, 12910, -30195, 12724
.dc.w -30272, 12539, -30349, 12353, -30424, 12167, -30498, 11980, -30571, 11792, -30643, 11604, -30713, 11416, -30783, 11228
.dc.w -30851, 11038, -30918, 10849, -30984, 10659, -31049, 10469, -31113, 10278, -31175, 10087, -31236, 9895, -31297, 9704
.dc.w -31356, 9511, -31413, 9319, -31470, 9126, -31525, 8933, -31580, 8739, -31633, 8545, -31684, 8351, -31735, 8156
.dc.w -31784, 7961, -31833, 7766, -31880, 7571, -31926, 7375, -31970, 7179, -32014, 6983, -32056, 6786, -32097, 6589
.dc.w -32137, 6392, -32175, 6195, -32213, 5997, -32249, 5799, -32284, 5601, -32318, 5403, -32350, 5205, -32382, 5006
.dc.w -32412, 4807, -32441, 4609, -32468, 4409, -32495, 4210, -32520, 4011, -32544, 3811, -32567, 3611, -32588, 3411
.dc.w -32609, 3211, -32628, 3011, -32646, 2811, -32662, 2611, -32678, 2410, -32692, 2210, -32705, 2009, -32717, 1808
.dc.w -32727, 1607, -32736, 1407, -32744, 1206, -32751, 1005, -32757, 804, -32761, 603, -32764, 402, -32766, 201
#elif FFT_N == 512
.dc.w 32767, 0, 32764, 402, 32757, 804, 32744, 1206, 32727, 1607, 32705, 2009, 32678, 2410, 32646, 2811
.dc.w 32609, 3211, 32567, 3611, 32520, 4011, 32468, 4409, 32412, 4807, 32350, 5205, 32284, 5601, 32213, 5997
.dc.w 32137, 6392, 32056, 6786, 31970, 7179, 31880, 7571, 31785, 7961, 31684, 8351, 31580, 8739, 31470, 9126
.dc.w 31356, 9511, 31236, 9895, 31113, 10278, 30984, 10659, 30851, 11038, 30713, 11416, 30571, 11792, 30424, 12166
.dc.w 30272, 12539, 30116, 12909, 29955, 13278, 29790, 13645, 29621, 14009, 29446, 14372, 29268, 14732, 29085, 15090
.dc.w 28897, 15446, 28706, 15799, 28510, 16150, 28309, 16499, 28105, 16845, 27896, 17189, 27683, 17530, 27466, 17868
.dc.w 27244, 18204, 27019, 18537, 26789, 18867, 26556, 19194, 26318, 19519, 26077, 19840, 25831, 20159, 25582, 20474
.dc.w 25329, 20787, 25072, 21096, 24811, 21402, 24546, 21705, 24278, 22004, 24006, 22301, 23731, 22594, 23452, 22883
.dc.w 23169, 23169, 22883, 23452, 22594, 23731, 22301, 24006, 22004, 24278, 21705, 24546, 21402, 24811, 21096, 25072
.dc.w 20787, 25329, 20474, 25582, 20159, 25831, 19840, 26077, 19519, 26318, 19194, 26556, 18867, 26789, 18537, 27019
.dc.w 18204, 27244, 17868, 27466, 17530, 27683, 17189, 27896, 16845, 28105, 16499, 28309, 16150, 28510, 15799, 28706
.dc.w 15446, 28897, 15090, 29085, 14732, 29268, 14372, 29446, 14009, 29621, 13645, 29790, 13278, 29955, 12909, 30116
.dc.w 12539, 30272, 12166, 30424, 11792, 30571, 11416, 30713, 11038, 30851, 10659, 30984, 10278, 31113, 9895, 31236
.dc.w 9511, 31356, 9126, 31470, 8739, 31580, 8351, 31684, 7961, 31785, 7571, 31880, 7179, 31970, 6786, 32056
.dc.w 6392, 32137, 5997, 32213, 5601, 32284, 5205, 32350, 4807, 32412, 4409, 32468, 4011, 32520, 3611, 32567
.dc.w 3211, 32609, 2811, 32646, 2410, 32678, 2009, 32705, 1607, 32727, 1206, 32744, 804, 32757, 402, 32764
.dc.w 0, 32766, -402, 32764, -804, 32757, -1206, 32744, -1607, 32727, -2009, 32705, -2410, 32678, -2811, 32646
.dc.w -3211, 32609, -3611, 32567, -4010, 32520, -4409, 32468, -4807, 32412, -5205, 32350, -5601, 32284, -5997, 32213
.dc.w -6392, 32137, -6786, 32056, -7179, 31970, -7571, 31880, -7961, 31785, -8351, 31684, -8739, 31580, -9126, 31470
.dc.w -9511, 31356, -9895, 31236, -10278, 31113, -10659, 30984, -11038, 30851, -11416, 30713, -11792, 30571, -12166, 30424
.dc.w -12539, 30272, -12909, 30116, -13278, 29955, -13645, 29790, -14009, 29621, -14372, 29446, -14732, 29268, -15090, 29085
.dc.w -15446, 28897, -15799, 28706, -16150, 28510, -16499, 28309, -16845, 28105, -17189, 27896, -17530, 27683, -17868, 27466
.dc.w -18204, 27244, -18537, 27019, -18867, 26789, -19194, 26556, -19519, 26318, -19840, 26077, -20159, 25831, -20474, 25582
.dc.w -20787, 25329, -21096, 25072, -21402, 24811, -21705, 24546, -22004, 24278, -22301, 24006, -22594, 23731, -22883, 23452
.dc.w -23169, 23169, -23452, 22883, -23731, 22594, -24006, 22301, -24278, 22005, -24546, 21705, -24811, 21402, -25072, 21096
.dc.w -25329, 20787, -25582, 20474, -25831, 20159, -26077, 19840, -26318, 19519, -26556, 19194, -26789, 18867, -27019, 18537
.dc.w -27244, 18204, -27466, 17868, -27683, 17530, -27896, 17189, -28105, 16845, -28309, 16499, -28510, 16150, -28706, 15799
.dc.w -28897, 15446, -29085, 15090, -29268, 14732, -29446, 14372, -29620, 14009, -29790, 13645, -29955, 13278, -30116, 12910
.dc.w -30272, 12539, -30424, 12167, -30571, 11792, -30713, 11416, -30851, 11038, -30984, 10659, -31113, 10278, -31236, 9895
.dc.w -31356, 9511, -31470, 9126, -31580, 8739, -31684, 8351, -31784, 7961, -31880, 7571, -31970, 7179, -32056, 6786
.dc.w -32137, 6392, -32213, 5997, -32284, 5601, -32350, 5205, -32412, 4807, -32468, 4409, -32520, 4011, -32567, 3611
.dc.w -32609, 3211, -32646, 2811, -32678, 2410, -32705, 2009, -32727, 1607, -32744, 1206, -32757, 804, -32764, 402
#elif FFT_N == 256
.dc.w 32767, 0, 32757, 804, 32727, 1607, 32678, 2410, 32609, 3211, 32520, 4011, 32412, 4807, 32284, 5601
.dc.w 32137, 6392, 31970, 7179, 31785, 7961, 31580, 8739, 31356, 9511, 31113, 10278, 30851, 11038, 30571, 11792
.dc.w 30272, 12539, 29955, 13278, 29621, 14009, 29268, 14732, 28897, 15446, 28510, 16150, 28105, 16845, 27683, 17530
.dc.w 27244, 18204, 26789, 18867, 26318, 19519, 25831, 20159, 25329, 20787, 24811, 21402, 24278, 22004, 23731, 22594
.dc.w 23169, 23169, 22594, 23731, 22004, 24278, 21402, 24811, 20787, 25329, 20159, 25831, 19519, 26318, 18867, 26789
.dc.w 18204, 27244, 17530, 27683, 16845, 28105, 16150, 28510, 15446, 28897, 14732, 29268, 14009, 29621, 13278, 29955
.dc.w 12539, 30272, 11792, 30571, 11038, 30851, 10278, 31113, 9511, 31356, 8739, 31580, 7961, 31785, 7179, 31970
.dc.w 6392, 32137, 5601, 32284, 4807, 32412, 4011, 32520, 3211, 32609, 2410, 32678, 1607, 32727, 804, 32757
.dc.w 0, 32766, -804, 32757, -1607, 32727, -2410, 32678, -3211, 32609, -4010, 32520, -4807, 32412, -5601, 32284
.dc.w -6392, 32137, -7179, 31970, -7961, 31785, -8739, 31580, -9511, 31356, -10278, 31113, -11038, 30851, -11792, 30571
.dc.w -12539, 30272, -13278, 29955, -14009, 29621, -14732, 29268, -15446, 28897, -16150, 28510, -16845, 28105, -17530, 27683
.dc.w -18204, 27244, -18867, 26789, -19519, 26318, -20159, 25831, -20787, 25329, -21402, 24811, -22004, 24278, -22594, 23731
.dc.w -23169, 23169, -23731, 22594, -24278, 22005, -24811, 21402, -25329, 20787, -25831, 20159, -26318, 19519, -26789, 18867
.dc.w -27244, 18204, -27683, 17530, -28105, 16845, -28510, 16150, -28897, 15446, -29268, 14732, -29620, 14009, -29955, 13278
.dc.w -30272, 12539, -30571, 11792, -30851, 11038, -31113, 10278, -31356, 9511, -31580, 8739, -31784, 7961, -31970, 7179
.dc.w -32137, 6392, -32284, 5601, -32412, 4807, -32520, 4011, -32609, 3211, -32678, 2410, -32727, 1607, -32757, 804
#elif FFT_N == 128
.dc.w 32767, 0, 32727, 1607, 32609, 3211, 32412, 4807, 32137, 6392, 31785, 7961, 31356, 9511, 30851, 11038
.dc.w 30272, 12539, 29621, 14009, 28897, 15446, 28105, 16845, 27244, 18204, 26318, 19519, 25329, 20787, 24278, 22004
.dc.w 23169, 23169, 22004, 24278, 20787, 25329, 19519, 26318, 18204, 27244, 16845, 28105, 15446, 28897, 14009, 29621
.dc.w 12539, 30272, 11038, 30851, 9511, 31356, 7961, 31785, 6392, 32137, 4807, 32412, 3211, 32609, 1607, 32727
.dc.w 0, 32766, -1607, 32727, -3211, 32609, -4807, 32412, -6392, 32137, -7961, 31785, -9511, 31356, -11038, 30851
.dc.w -12539, 30272, -14009, 29621, -15446, 28897, -16845, 28105, -18204, 27244, -19519, 26318, -20787, 25329, -22004, 24278
.dc.w -23169, 23169, -24278, 22005, -25329, 20787, -26318, 19519, -27244, 18204, -28105, 16845, -28897, 15446, -29620, 14009
.dc.w -30272, 12539, -30851, 11038, -31356, 9511, -31784, 7961, -32137, 6392, -32412, 4807, -32609, 3211, -32727, 1607
#elif FFT_N == 64
.dc.w 32767, 0, 32609, 3211, 32137, 6392, 31356, 9511, 30272, 12539, 28897, 15446, 27244, 18204, 25329, 20787
.dc.w 23169, 23169, 20787, 25329, 18204, 27244, 15446, 28897, 12539, 30272, 9511, 31356, 6392, 32137, 3211, 32609
.dc.w 0, 32766, -3211, 32609, -6392, 32137, -9511, 31356, -12539, 30272, -15446, 28897, -18204, 27244, -20787, 25329
.dc.w -23169, 23169, -25329, 20787, -27244, 18204, -28897, 15446, -30272, 12539, -31356, 9511, -32137, 6392, -32609, 3211
#endif
tbl_bitrev: ; tbl_bitrev[] = ...
#if FFT_N == 1024
#ifdef INPUT_IQ
.dc.w 1*4, 513*4, 257*4, 769*4, 129*4, 641*4, 385*4, 897*4, 65*4, 577*4, 321*4, 833*4, 193*4, 705*4, 449*4, 961*4
.dc.w 33*4, 545*4, 289*4, 801*4, 161*4, 673*4, 417*4, 929*4, 97*4, 609*4, 353*4, 865*4, 225*4, 737*4, 481*4, 993*4
.dc.w 17*4, 529*4, 273*4, 785*4, 145*4, 657*4, 401*4, 913*4, 81*4, 593*4, 337*4, 849*4, 209*4, 721*4, 465*4, 977*4
.dc.w 49*4, 561*4, 305*4, 817*4, 177*4, 689*4, 433*4, 945*4, 113*4, 625*4, 369*4, 881*4, 241*4, 753*4, 497*4, 1009*4
.dc.w 9*4, 521*4, 265*4, 777*4, 137*4, 649*4, 393*4, 905*4, 73*4, 585*4, 329*4, 841*4, 201*4, 713*4, 457*4, 969*4
.dc.w 41*4, 553*4, 297*4, 809*4, 169*4, 681*4, 425*4, 937*4, 105*4, 617*4, 361*4, 873*4, 233*4, 745*4, 489*4, 1001*4
.dc.w 25*4, 537*4, 281*4, 793*4, 153*4, 665*4, 409*4, 921*4, 89*4, 601*4, 345*4, 857*4, 217*4, 729*4, 473*4, 985*4
.dc.w 57*4, 569*4, 313*4, 825*4, 185*4, 697*4, 441*4, 953*4, 121*4, 633*4, 377*4, 889*4, 249*4, 761*4, 505*4, 1017*4
.dc.w 5*4, 517*4, 261*4, 773*4, 133*4, 645*4, 389*4, 901*4, 69*4, 581*4, 325*4, 837*4, 197*4, 709*4, 453*4, 965*4
.dc.w 37*4, 549*4, 293*4, 805*4, 165*4, 677*4, 421*4, 933*4, 101*4, 613*4, 357*4, 869*4, 229*4, 741*4, 485*4, 997*4
.dc.w 21*4, 533*4, 277*4, 789*4, 149*4, 661*4, 405*4, 917*4, 85*4, 597*4, 341*4, 853*4, 213*4, 725*4, 469*4, 981*4
.dc.w 53*4, 565*4, 309*4, 821*4, 181*4, 693*4, 437*4, 949*4, 117*4, 629*4, 373*4, 885*4, 245*4, 757*4, 501*4, 1013*4
.dc.w 13*4, 525*4, 269*4, 781*4, 141*4, 653*4, 397*4, 909*4, 77*4, 589*4, 333*4, 845*4, 205*4, 717*4, 461*4, 973*4
.dc.w 45*4, 557*4, 301*4, 813*4, 173*4, 685*4, 429*4, 941*4, 109*4, 621*4, 365*4, 877*4, 237*4, 749*4, 493*4, 1005*4
.dc.w 29*4, 541*4, 285*4, 797*4, 157*4, 669*4, 413*4, 925*4, 93*4, 605*4, 349*4, 861*4, 221*4, 733*4, 477*4, 989*4
.dc.w 61*4, 573*4, 317*4, 829*4, 189*4, 701*4, 445*4, 957*4, 125*4, 637*4, 381*4, 893*4, 253*4, 765*4, 509*4, 1021*4
.dc.w 3*4, 515*4, 259*4, 771*4, 131*4, 643*4, 387*4, 899*4, 67*4, 579*4, 323*4, 835*4, 195*4, 707*4, 451*4, 963*4
.dc.w 35*4, 547*4, 291*4, 803*4, 163*4, 675*4, 419*4, 931*4, 99*4, 611*4, 355*4, 867*4, 227*4, 739*4, 483*4, 995*4
.dc.w 19*4, 531*4, 275*4, 787*4, 147*4, 659*4, 403*4, 915*4, 83*4, 595*4, 339*4, 851*4, 211*4, 723*4, 467*4, 979*4
.dc.w 51*4, 563*4, 307*4, 819*4, 179*4, 691*4, 435*4, 947*4, 115*4, 627*4, 371*4, 883*4, 243*4, 755*4, 499*4, 1011*4
.dc.w 11*4, 523*4, 267*4, 779*4, 139*4, 651*4, 395*4, 907*4, 75*4, 587*4, 331*4, 843*4, 203*4, 715*4, 459*4, 971*4
.dc.w 43*4, 555*4, 299*4, 811*4, 171*4, 683*4, 427*4, 939*4, 107*4, 619*4, 363*4, 875*4, 235*4, 747*4, 491*4, 1003*4
.dc.w 27*4, 539*4, 283*4, 795*4, 155*4, 667*4, 411*4, 923*4, 91*4, 603*4, 347*4, 859*4, 219*4, 731*4, 475*4, 987*4
.dc.w 59*4, 571*4, 315*4, 827*4, 187*4, 699*4, 443*4, 955*4, 123*4, 635*4, 379*4, 891*4, 251*4, 763*4, 507*4, 1019*4
.dc.w 7*4, 519*4, 263*4, 775*4, 135*4, 647*4, 391*4, 903*4, 71*4, 583*4, 327*4, 839*4, 199*4, 711*4, 455*4, 967*4
.dc.w 39*4, 551*4, 295*4, 807*4, 167*4, 679*4, 423*4, 935*4, 103*4, 615*4, 359*4, 871*4, 231*4, 743*4, 487*4, 999*4
.dc.w 23*4, 535*4, 279*4, 791*4, 151*4, 663*4, 407*4, 919*4, 87*4, 599*4, 343*4, 855*4, 215*4, 727*4, 471*4, 983*4
.dc.w 55*4, 567*4, 311*4, 823*4, 183*4, 695*4, 439*4, 951*4, 119*4, 631*4, 375*4, 887*4, 247*4, 759*4, 503*4, 1015*4
.dc.w 15*4, 527*4, 271*4, 783*4, 143*4, 655*4, 399*4, 911*4, 79*4, 591*4, 335*4, 847*4, 207*4, 719*4, 463*4, 975*4
.dc.w 47*4, 559*4, 303*4, 815*4, 175*4, 687*4, 431*4, 943*4, 111*4, 623*4, 367*4, 879*4, 239*4, 751*4, 495*4, 1007*4
.dc.w 31*4, 543*4, 287*4, 799*4, 159*4, 671*4, 415*4, 927*4, 95*4, 607*4, 351*4, 863*4, 223*4, 735*4, 479*4, 991*4
.dc.w 63*4, 575*4, 319*4, 831*4, 191*4, 703*4, 447*4, 959*4, 127*4, 639*4, 383*4, 895*4, 255*4, 767*4, 511*4, 1023*4
#endif
.dc.w 0*4, 512*4, 256*4, 768*4, 128*4, 640*4, 384*4, 896*4, 64*4, 576*4, 320*4, 832*4, 192*4, 704*4, 448*4, 960*4
.dc.w 32*4, 544*4, 288*4, 800*4, 160*4, 672*4, 416*4, 928*4, 96*4, 608*4, 352*4, 864*4, 224*4, 736*4, 480*4, 992*4
.dc.w 16*4, 528*4, 272*4, 784*4, 144*4, 656*4, 400*4, 912*4, 80*4, 592*4, 336*4, 848*4, 208*4, 720*4, 464*4, 976*4
.dc.w 48*4, 560*4, 304*4, 816*4, 176*4, 688*4, 432*4, 944*4, 112*4, 624*4, 368*4, 880*4, 240*4, 752*4, 496*4, 1008*4
.dc.w 8*4, 520*4, 264*4, 776*4, 136*4, 648*4, 392*4, 904*4, 72*4, 584*4, 328*4, 840*4, 200*4, 712*4, 456*4, 968*4
.dc.w 40*4, 552*4, 296*4, 808*4, 168*4, 680*4, 424*4, 936*4, 104*4, 616*4, 360*4, 872*4, 232*4, 744*4, 488*4, 1000*4
.dc.w 24*4, 536*4, 280*4, 792*4, 152*4, 664*4, 408*4, 920*4, 88*4, 600*4, 344*4, 856*4, 216*4, 728*4, 472*4, 984*4
.dc.w 56*4, 568*4, 312*4, 824*4, 184*4, 696*4, 440*4, 952*4, 120*4, 632*4, 376*4, 888*4, 248*4, 760*4, 504*4, 1016*4
.dc.w 4*4, 516*4, 260*4, 772*4, 132*4, 644*4, 388*4, 900*4, 68*4, 580*4, 324*4, 836*4, 196*4, 708*4, 452*4, 964*4
.dc.w 36*4, 548*4, 292*4, 804*4, 164*4, 676*4, 420*4, 932*4, 100*4, 612*4, 356*4, 868*4, 228*4, 740*4, 484*4, 996*4
.dc.w 20*4, 532*4, 276*4, 788*4, 148*4, 660*4, 404*4, 916*4, 84*4, 596*4, 340*4, 852*4, 212*4, 724*4, 468*4, 980*4
.dc.w 52*4, 564*4, 308*4, 820*4, 180*4, 692*4, 436*4, 948*4, 116*4, 628*4, 372*4, 884*4, 244*4, 756*4, 500*4, 1012*4
.dc.w 12*4, 524*4, 268*4, 780*4, 140*4, 652*4, 396*4, 908*4, 76*4, 588*4, 332*4, 844*4, 204*4, 716*4, 460*4, 972*4
.dc.w 44*4, 556*4, 300*4, 812*4, 172*4, 684*4, 428*4, 940*4, 108*4, 620*4, 364*4, 876*4, 236*4, 748*4, 492*4, 1004*4
.dc.w 28*4, 540*4, 284*4, 796*4, 156*4, 668*4, 412*4, 924*4, 92*4, 604*4, 348*4, 860*4, 220*4, 732*4, 476*4, 988*4
.dc.w 60*4, 572*4, 316*4, 828*4, 188*4, 700*4, 444*4, 956*4, 124*4, 636*4, 380*4, 892*4, 252*4, 764*4, 508*4, 1020*4
.dc.w 2*4, 514*4, 258*4, 770*4, 130*4, 642*4, 386*4, 898*4, 66*4, 578*4, 322*4, 834*4, 194*4, 706*4, 450*4, 962*4
.dc.w 34*4, 546*4, 290*4, 802*4, 162*4, 674*4, 418*4, 930*4, 98*4, 610*4, 354*4, 866*4, 226*4, 738*4, 482*4, 994*4
.dc.w 18*4, 530*4, 274*4, 786*4, 146*4, 658*4, 402*4, 914*4, 82*4, 594*4, 338*4, 850*4, 210*4, 722*4, 466*4, 978*4
.dc.w 50*4, 562*4, 306*4, 818*4, 178*4, 690*4, 434*4, 946*4, 114*4, 626*4, 370*4, 882*4, 242*4, 754*4, 498*4, 1010*4
.dc.w 10*4, 522*4, 266*4, 778*4, 138*4, 650*4, 394*4, 906*4, 74*4, 586*4, 330*4, 842*4, 202*4, 714*4, 458*4, 970*4
.dc.w 42*4, 554*4, 298*4, 810*4, 170*4, 682*4, 426*4, 938*4, 106*4, 618*4, 362*4, 874*4, 234*4, 746*4, 490*4, 1002*4
.dc.w 26*4, 538*4, 282*4, 794*4, 154*4, 666*4, 410*4, 922*4, 90*4, 602*4, 346*4, 858*4, 218*4, 730*4, 474*4, 986*4
.dc.w 58*4, 570*4, 314*4, 826*4, 186*4, 698*4, 442*4, 954*4, 122*4, 634*4, 378*4, 890*4, 250*4, 762*4, 506*4, 1018*4
.dc.w 6*4, 518*4, 262*4, 774*4, 134*4, 646*4, 390*4, 902*4, 70*4, 582*4, 326*4, 838*4, 198*4, 710*4, 454*4, 966*4
.dc.w 38*4, 550*4, 294*4, 806*4, 166*4, 678*4, 422*4, 934*4, 102*4, 614*4, 358*4, 870*4, 230*4, 742*4, 486*4, 998*4
.dc.w 22*4, 534*4, 278*4, 790*4, 150*4, 662*4, 406*4, 918*4, 86*4, 598*4, 342*4, 854*4, 214*4, 726*4, 470*4, 982*4
.dc.w 54*4, 566*4, 310*4, 822*4, 182*4, 694*4, 438*4, 950*4, 118*4, 630*4, 374*4, 886*4, 246*4, 758*4, 502*4, 1014*4
.dc.w 14*4, 526*4, 270*4, 782*4, 142*4, 654*4, 398*4, 910*4, 78*4, 590*4, 334*4, 846*4, 206*4, 718*4, 462*4, 974*4
.dc.w 46*4, 558*4, 302*4, 814*4, 174*4, 686*4, 430*4, 942*4, 110*4, 622*4, 366*4, 878*4, 238*4, 750*4, 494*4, 1006*4
.dc.w 30*4, 542*4, 286*4, 798*4, 158*4, 670*4, 414*4, 926*4, 94*4, 606*4, 350*4, 862*4, 222*4, 734*4, 478*4, 990*4
.dc.w 62*4, 574*4, 318*4, 830*4, 190*4, 702*4, 446*4, 958*4, 126*4, 638*4, 382*4, 894*4, 254*4, 766*4, 510*4, 1022*4
#elif FFT_N == 512
#ifdef INPUT_IQ
.dc.w 1*4, 257*4, 129*4, 385*4, 65*4, 321*4, 193*4, 449*4, 33*4, 289*4, 161*4, 417*4, 97*4, 353*4, 225*4, 481*4
.dc.w 17*4, 273*4, 145*4, 401*4, 81*4, 337*4, 209*4, 465*4, 49*4, 305*4, 177*4, 433*4, 113*4, 369*4, 241*4, 497*4
.dc.w 9*4, 265*4, 137*4, 393*4, 73*4, 329*4, 201*4, 457*4, 41*4, 297*4, 169*4, 425*4, 105*4, 361*4, 233*4, 489*4
.dc.w 25*4, 281*4, 153*4, 409*4, 89*4, 345*4, 217*4, 473*4, 57*4, 313*4, 185*4, 441*4, 121*4, 377*4, 249*4, 505*4
.dc.w 5*4, 261*4, 133*4, 389*4, 69*4, 325*4, 197*4, 453*4, 37*4, 293*4, 165*4, 421*4, 101*4, 357*4, 229*4, 485*4
.dc.w 21*4, 277*4, 149*4, 405*4, 85*4, 341*4, 213*4, 469*4, 53*4, 309*4, 181*4, 437*4, 117*4, 373*4, 245*4, 501*4
.dc.w 13*4, 269*4, 141*4, 397*4, 77*4, 333*4, 205*4, 461*4, 45*4, 301*4, 173*4, 429*4, 109*4, 365*4, 237*4, 493*4
.dc.w 29*4, 285*4, 157*4, 413*4, 93*4, 349*4, 221*4, 477*4, 61*4, 317*4, 189*4, 445*4, 125*4, 381*4, 253*4, 509*4
.dc.w 3*4, 259*4, 131*4, 387*4, 67*4, 323*4, 195*4, 451*4, 35*4, 291*4, 163*4, 419*4, 99*4, 355*4, 227*4, 483*4
.dc.w 19*4, 275*4, 147*4, 403*4, 83*4, 339*4, 211*4, 467*4, 51*4, 307*4, 179*4, 435*4, 115*4, 371*4, 243*4, 499*4
.dc.w 11*4, 267*4, 139*4, 395*4, 75*4, 331*4, 203*4, 459*4, 43*4, 299*4, 171*4, 427*4, 107*4, 363*4, 235*4, 491*4
.dc.w 27*4, 283*4, 155*4, 411*4, 91*4, 347*4, 219*4, 475*4, 59*4, 315*4, 187*4, 443*4, 123*4, 379*4, 251*4, 507*4
.dc.w 7*4, 263*4, 135*4, 391*4, 71*4, 327*4, 199*4, 455*4, 39*4, 295*4, 167*4, 423*4, 103*4, 359*4, 231*4, 487*4
.dc.w 23*4, 279*4, 151*4, 407*4, 87*4, 343*4, 215*4, 471*4, 55*4, 311*4, 183*4, 439*4, 119*4, 375*4, 247*4, 503*4
.dc.w 15*4, 271*4, 143*4, 399*4, 79*4, 335*4, 207*4, 463*4, 47*4, 303*4, 175*4, 431*4, 111*4, 367*4, 239*4, 495*4
.dc.w 31*4, 287*4, 159*4, 415*4, 95*4, 351*4, 223*4, 479*4, 63*4, 319*4, 191*4, 447*4, 127*4, 383*4, 255*4, 511*4
#endif
.dc.w 0*4, 256*4, 128*4, 384*4, 64*4, 320*4, 192*4, 448*4, 32*4, 288*4, 160*4, 416*4, 96*4, 352*4, 224*4, 480*4
.dc.w 16*4, 272*4, 144*4, 400*4, 80*4, 336*4, 208*4, 464*4, 48*4, 304*4, 176*4, 432*4, 112*4, 368*4, 240*4, 496*4
.dc.w 8*4, 264*4, 136*4, 392*4, 72*4, 328*4, 200*4, 456*4, 40*4, 296*4, 168*4, 424*4, 104*4, 360*4, 232*4, 488*4
.dc.w 24*4, 280*4, 152*4, 408*4, 88*4, 344*4, 216*4, 472*4, 56*4, 312*4, 184*4, 440*4, 120*4, 376*4, 248*4, 504*4
.dc.w 4*4, 260*4, 132*4, 388*4, 68*4, 324*4, 196*4, 452*4, 36*4, 292*4, 164*4, 420*4, 100*4, 356*4, 228*4, 484*4
.dc.w 20*4, 276*4, 148*4, 404*4, 84*4, 340*4, 212*4, 468*4, 52*4, 308*4, 180*4, 436*4, 116*4, 372*4, 244*4, 500*4
.dc.w 12*4, 268*4, 140*4, 396*4, 76*4, 332*4, 204*4, 460*4, 44*4, 300*4, 172*4, 428*4, 108*4, 364*4, 236*4, 492*4
.dc.w 28*4, 284*4, 156*4, 412*4, 92*4, 348*4, 220*4, 476*4, 60*4, 316*4, 188*4, 444*4, 124*4, 380*4, 252*4, 508*4
.dc.w 2*4, 258*4, 130*4, 386*4, 66*4, 322*4, 194*4, 450*4, 34*4, 290*4, 162*4, 418*4, 98*4, 354*4, 226*4, 482*4
.dc.w 18*4, 274*4, 146*4, 402*4, 82*4, 338*4, 210*4, 466*4, 50*4, 306*4, 178*4, 434*4, 114*4, 370*4, 242*4, 498*4
.dc.w 10*4, 266*4, 138*4, 394*4, 74*4, 330*4, 202*4, 458*4, 42*4, 298*4, 170*4, 426*4, 106*4, 362*4, 234*4, 490*4
.dc.w 26*4, 282*4, 154*4, 410*4, 90*4, 346*4, 218*4, 474*4, 58*4, 314*4, 186*4, 442*4, 122*4, 378*4, 250*4, 506*4
.dc.w 6*4, 262*4, 134*4, 390*4, 70*4, 326*4, 198*4, 454*4, 38*4, 294*4, 166*4, 422*4, 102*4, 358*4, 230*4, 486*4
.dc.w 22*4, 278*4, 150*4, 406*4, 86*4, 342*4, 214*4, 470*4, 54*4, 310*4, 182*4, 438*4, 118*4, 374*4, 246*4, 502*4
.dc.w 14*4, 270*4, 142*4, 398*4, 78*4, 334*4, 206*4, 462*4, 46*4, 302*4, 174*4, 430*4, 110*4, 366*4, 238*4, 494*4
.dc.w 30*4, 286*4, 158*4, 414*4, 94*4, 350*4, 222*4, 478*4, 62*4, 318*4, 190*4, 446*4, 126*4, 382*4, 254*4, 510*4
#elif FFT_N == 256
#ifdef INPUT_IQ
.dc.w 1*4, 129*4, 65*4, 193*4, 33*4, 161*4, 97*4, 225*4, 17*4, 145*4, 81*4, 209*4, 49*4, 177*4, 113*4, 241*4
.dc.w 9*4, 137*4, 73*4, 201*4, 41*4, 169*4, 105*4, 233*4, 25*4, 153*4, 89*4, 217*4, 57*4, 185*4, 121*4, 249*4
.dc.w 5*4, 133*4, 69*4, 197*4, 37*4, 165*4, 101*4, 229*4, 21*4, 149*4, 85*4, 213*4, 53*4, 181*4, 117*4, 245*4
.dc.w 13*4, 141*4, 77*4, 205*4, 45*4, 173*4, 109*4, 237*4, 29*4, 157*4, 93*4, 221*4, 61*4, 189*4, 125*4, 253*4
.dc.w 3*4, 131*4, 67*4, 195*4, 35*4, 163*4, 99*4, 227*4, 19*4, 147*4, 83*4, 211*4, 51*4, 179*4, 115*4, 243*4
.dc.w 11*4, 139*4, 75*4, 203*4, 43*4, 171*4, 107*4, 235*4, 27*4, 155*4, 91*4, 219*4, 59*4, 187*4, 123*4, 251*4
.dc.w 7*4, 135*4, 71*4, 199*4, 39*4, 167*4, 103*4, 231*4, 23*4, 151*4, 87*4, 215*4, 55*4, 183*4, 119*4, 247*4
.dc.w 15*4, 143*4, 79*4, 207*4, 47*4, 175*4, 111*4, 239*4, 31*4, 159*4, 95*4, 223*4, 63*4, 191*4, 127*4, 255*4
#endif
.dc.w 0*4, 128*4, 64*4, 192*4, 32*4, 160*4, 96*4, 224*4, 16*4, 144*4, 80*4, 208*4, 48*4, 176*4, 112*4, 240*4
.dc.w 8*4, 136*4, 72*4, 200*4, 40*4, 168*4, 104*4, 232*4, 24*4, 152*4, 88*4, 216*4, 56*4, 184*4, 120*4, 248*4
.dc.w 4*4, 132*4, 68*4, 196*4, 36*4, 164*4, 100*4, 228*4, 20*4, 148*4, 84*4, 212*4, 52*4, 180*4, 116*4, 244*4
.dc.w 12*4, 140*4, 76*4, 204*4, 44*4, 172*4, 108*4, 236*4, 28*4, 156*4, 92*4, 220*4, 60*4, 188*4, 124*4, 252*4
.dc.w 2*4, 130*4, 66*4, 194*4, 34*4, 162*4, 98*4, 226*4, 18*4, 146*4, 82*4, 210*4, 50*4, 178*4, 114*4, 242*4
.dc.w 10*4, 138*4, 74*4, 202*4, 42*4, 170*4, 106*4, 234*4, 26*4, 154*4, 90*4, 218*4, 58*4, 186*4, 122*4, 250*4
.dc.w 6*4, 134*4, 70*4, 198*4, 38*4, 166*4, 102*4, 230*4, 22*4, 150*4, 86*4, 214*4, 54*4, 182*4, 118*4, 246*4
.dc.w 14*4, 142*4, 78*4, 206*4, 46*4, 174*4, 110*4, 238*4, 30*4, 158*4, 94*4, 222*4, 62*4, 190*4, 126*4, 254*4
#elif FFT_N == 128
#ifdef INPUT_IQ
.dc.w 1*4, 65*4, 33*4, 97*4, 17*4, 81*4, 49*4, 113*4, 9*4, 73*4, 41*4, 105*4, 25*4, 89*4, 57*4, 121*4
.dc.w 5*4, 69*4, 37*4, 101*4, 21*4, 85*4, 53*4, 117*4, 13*4, 77*4, 45*4, 109*4, 29*4, 93*4, 61*4, 125*4
.dc.w 3*4, 67*4, 35*4, 99*4, 19*4, 83*4, 51*4, 115*4, 11*4, 75*4, 43*4, 107*4, 27*4, 91*4, 59*4, 123*4
.dc.w 7*4, 71*4, 39*4, 103*4, 23*4, 87*4, 55*4, 119*4, 15*4, 79*4, 47*4, 111*4, 31*4, 95*4, 63*4, 127*4
#endif
.dc.w 0*4, 64*4, 32*4, 96*4, 16*4, 80*4, 48*4, 112*4, 8*4, 72*4, 40*4, 104*4, 24*4, 88*4, 56*4, 120*4
.dc.w 4*4, 68*4, 36*4, 100*4, 20*4, 84*4, 52*4, 116*4, 12*4, 76*4, 44*4, 108*4, 28*4, 92*4, 60*4, 124*4
.dc.w 2*4, 66*4, 34*4, 98*4, 18*4, 82*4, 50*4, 114*4, 10*4, 74*4, 42*4, 106*4, 26*4, 90*4, 58*4, 122*4
.dc.w 6*4, 70*4, 38*4, 102*4, 22*4, 86*4, 54*4, 118*4, 14*4, 78*4, 46*4, 110*4, 30*4, 94*4, 62*4, 126*4
#elif FFT_N == 64
#ifdef INPUT_IQ
.dc.w 1*4, 33*4, 17*4, 49*4, 9*4, 41*4, 25*4, 57*4, 5*4, 37*4, 21*4, 53*4, 13*4, 45*4, 29*4, 61*4
.dc.w 3*4, 35*4, 19*4, 51*4, 11*4, 43*4, 27*4, 59*4, 7*4, 39*4, 23*4, 55*4, 15*4, 47*4, 31*4, 63*4
#endif
.dc.w 0*4, 32*4, 16*4, 48*4, 8*4, 40*4, 24*4, 56*4, 4*4, 36*4, 20*4, 52*4, 12*4, 44*4, 28*4, 60*4
.dc.w 2*4, 34*4, 18*4, 50*4, 10*4, 42*4, 26*4, 58*4, 6*4, 38*4, 22*4, 54*4, 14*4, 46*4, 30*4, 62*4
#endif
;----------------------------------------------------------------------------;
#ifndef INPUT_NOUSE
.global fft_input
.func fft_input
fft_input:
pushw T2H,T2L
pushw AH,AL
pushw YH,YL
movw XL, EL ;X = array_src;
movw YL, DL ;Y = array_bfly;
clr EH ;Zero
ldiw ZH,ZL, tbl_window ;Z = &tbl_window[0];
ldiw AH,AL, FFT_N ;A = FFT_N;
1: lpmw BH,BL, Z+ ;B = *Z++; (window)
ldw CH,CL, X+ ;C = *X++; (I-axis)
FMULS16 DH,DL,T2H,T2L, BH,BL, CH,CL ;D = B * C;
stw Y+, DH,DL ;*Y++ = D;
#ifdef INPUT_IQ
ldw CH,CL, X+ ;C = *X++; (Q-axis)
FMULS16 DH,DL,T2H,T2L, BH,BL, CH,CL ;D = B * C;
#endif
stw Y+, DH,DL ;*Y++ = D;
subiw AH,AL, 1 ;while(--A)
brne 1b ;/
popw YH,YL
popw AH,AL
popw T2H,T2L
clr r1
ret
.endfunc
#endif /* INPUT_NOUSE */
;----------------------------------------------------------------------------;
.global fft_execute
.func fft_execute
fft_execute:
pushw T2H,T2L
pushw T4H,T4L
pushw T6H,T6L
pushw T8H,T8L
pushw T10H,T10L
pushw T12H,T12L
pushw T14H,T14L
pushw AH,AL
pushw YH,YL
movw ZL, EL ;Z = array_bfly;
ldiw EH,EL, 1 ;E = 1;
ldiw XH,XL, FFT_N/2 ;X = FFT_N/2;
1: ldi AL, 4 ;T12 = E; (angular speed)
mul EL, AL ;
movw T12L, T0L ;
mul EH, AL ;
add T12H, T0L ;/
movw T14L, EL ;T14 = E;
pushw EH,EL
movw YL, ZL ;Z = &array_bfly[0];
mul XL, AL ;Y = &array_bfly[X];
addw YH,YL, T0H,T0L ;
mul XH, AL ;
add YH, T0L ;/
pushw ZH,ZL
2: clrw T10H,T10L ;T10 = 0 (angle)
clr EH ;Zero reg.
3: lddw AH,AL, Z+0 ;A = *Z - *Y; *Z++ += *Y;
asrw AH,AL ;
lddw DH,DL, Y+0 ;
asrw DH,DL ;
movw CL, AL ;
subw AH,AL, DH,DL ;
addw CH,CL, DH,DL ;
stw Z+, CH,CL ;/
lddw BH,BL, Z+0 ;B = *Z - *Y; *Z++ += *Y;
asrw BH,BL ;
lddw DH,DL, Y+2 ;
asrw DH,DL ;
movw CL, BL ;
subw BH,BL, DH,DL ;
addw CH,CL, DH,DL ;
stw Z+, CH,CL ;/
movw T0L, ZL
ldiw ZH,ZL, tbl_cos_sin ;C = cos(T10); D = sin(T10);
addw ZH,ZL, T10H,T10L ;
lpmw CH,CL, Z+ ;
lpmw DH,DL, Z+ ;/
movw ZL, T0L
FMULS16 T4H,T4L,T2H,T2L, AH,AL, CH,CL ;*Y++ = A * C + B * D;
FMULS16 T8H,T8L,T6H,T6L, BH,BL, DH,DL ;
addd T4H,T4L,T2H,T2L, T8H,T8L,T6H,T6L;
stw Y+, T4H,T4L ;/
FMULS16 T4H,T4L,T2H,T2L, BH,BL, CH,CL ;*Y++ = B * C - A * D;
FMULS16 T8H,T8L,T6H,T6L, AH,AL, DH,DL ;
subd T4H,T4L,T2H,T2L, T8H,T8L,T6H,T6L;
stw Y+, T4H,T4L ;/
addw T10H,T10L, T12H,T12L ;T10 += T12; (next angle)
#if FFT_N >= 128
sbrs T10H, FFT_B - 7 ;while(T10 < pi)
#else
sbrs T10L, FFT_B + 1
#endif
rjmp 3b ;/
ldi AL, 4 ;Y += X; Z += X; (skip split segment)
mul XL, AL
addw YH,YL, T0H,T0L ;
addw ZH,ZL, T0H,T0L ;
mul XH, AL ;
add YH, T0L ;
add ZH, T0L ;/
ldi EL, 1 ;while(--T14)
subw T14H,T14L, EH,EL ;
rjne 2b ;/
popw ZH,ZL
popw EH,EL
lslw EH,EL ;E *= 2;
lsrw XH,XL ;while(X /= 2)
adiw XL, 0 ;
rjne 1b ;/
popw YH,YL
popw AH,AL
popw T14H,T14L
popw T12H,T12L
popw T10H,T10L
popw T8H,T8L
popw T6H,T6L
popw T4H,T4L
popw T2H,T2L
; clr r1
ret
.endfunc
;----------------------------------------------------------------------------;
.global fft_output
.func fft_output
fft_output:
pushw T2H,T2L
pushw T4H,T4L
pushw T6H,T6L
pushw T8H,T8L
pushw T10H,T10L
pushw AH,AL
pushw YH,YL
movw T10L, EL ;T10 = array_bfly;
movw YL, DL ;Y = array_output;
ldiw ZH,ZL, tbl_bitrev ;Z = tbl_bitrev;
clr EH ;Zero
#ifdef INPUT_IQ
ldiw AH,AL, FFT_N ;A = FFT_N; (plus/minus)
#else
ldiw AH,AL, FFT_N / 2 ;A = FFT_N / 2; (plus only)
#endif
1: lpmw XH,XL, Z+ ;X = *Z++;
addw XH,XL, T10H,T10L ;X += array_bfly;
ldw BH,BL, X+ ;B = *X++;
ldw CH,CL, X+ ;C = *X++;
FMULS16 T4H,T4L,T2H,T2L, BH,BL, BH,BL ;T4:T2 = B * B;
FMULS16 T8H,T8L,T6H,T6L, CH,CL, CH,CL ;T8:T6 = C * C;
addd T4H,T4L,T2H,T2L, T8H,T8L,T6H,T6L;T4:T2 += T8:T6;
SQRT32 ;B = sqrt(T4:T2);
stw Y+, BH,BL ;*Y++ = B;
subiw AH,AL, 1 ;while(--A)
rjne 1b ;/
popw YH,YL
popw AH,AL
popw T10H,T10L
popw T8H,T8L
popw T6H,T6L
popw T4H,T4L
popw T2H,T2L
clr r1
ret
.endfunc
;----------------------------------------------------------------------------;
.global fmuls_f
.func fmuls_f
fmuls_f:
movw CL, EL ;C = E;
clr EH ;Zero
FMULS16 ZH,ZL,XH,XL, CH,CL, DH,DL ;Z:X = C * D;
movw EL, ZL
clr r1
ret
.endfunc