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Add wasm tacle-bench targets

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Christoph Urlacher
2026-06-12 20:06:22 +02:00
parent 30daa8a00c
commit 08c2e9c13d
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342
targets/wasm-tacle/kernel/fft/generated/modified_sources/inline/fft.c Normal file
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/*
This program is part of the TACLeBench benchmark suite.
Version V 2.0
Name: fft
Author: Juan Martinez Velarde
Function: benchmarking of an integer stage scaling FFT
To avoid errors caused by overflow and bit growth,
the input data is scaled. Bit growth occurs potentially
at butterfly operations, which involve a complex
multiplication, a complex addition and a complex
subtraction. Maximal bit growth from butterfly input
to butterfly output is two bits.
The input data includes enough extra sign bits, called
guard bits, to ensure that bit growth never results in
overflow (Rabiner and Gold, 1975). Data can grow by a
maximum factor of 2.4 from butterfly input to output
(two bits of grow). However, a data value cannot grow by
maximum amount in two consecutive stages.
The number of guard bits necessary to compensate the
maximum bit growth in an N-point FFT is (log_2 (N))+1).
In a 16-point FFT (requires 4 stages), each of the
input samples should contain 5 guard bits. The input
data is then restricted to 10 bits, one sign bit and
nine magnitude bits, in order to prevent an
overflow from the integer multiplication with the
precalculed twiddle coefficients.
Another method to compensate bit growth is to scale the
outputs down by a factor of two unconditionally after
each stage. This approach is called unconditional scaling
Initially, 2 guard bits are included in the input data to
accomodate the maximum overflow in the first stage.
In each butterfly of a stage calculation, the data can
grow into the guard bits. To prevent overflow in the next
stage, the guard bits are replaced before the next stage is
executed by shifting the entire block of data one bit
to the right.
Input data should not be restricted to a 1.9 format.
Input data can be represented in a 1.13 format,that is
14 significant bits, one sign and 13 magnitude bits. In
the FFT calculation, the data loses a total of (log2 N) -1
bits because of shifting. Unconditional scaling results
in the same number of bits lost as in the input data scaling.
However, it produces more precise results because the
FFT starts with more precise input data. The tradeoff is
a slower FFT calculation because of the extra cycles needed
to shift the output of each stage.
Source: DSP-Stone
http://www.ice.rwth-aachen.de/research/tools-projects/entry/detail/dspstone/
Original name: fft_1024_13
(merged main1024_bit_reduct and fft_bit_reduct from DSP-Stone)
Changes: no major functional changes
License: may be used, modified, and re-distributed freely
*/
// Wasm loop bounds
#include "fft_input.c"
__attribute__((import_module("__pragma"), import_name("loopbound"))) extern void
__pragma_loopbound(unsigned int min_bound, unsigned int max_bound);
#define N_FFT 1024
#define NUMBER_OF_BITS 13 /* fract format 1.NUMBER_OF_BITS = 1.13 */
#define BITS_PER_TWID 13 /* bits per twiddle coefficient */
#define SHIFT BITS_PER_TWID /* fractional shift after each multiplication */
/*
Forward declaration of functions
*/
__attribute__((always_inline)) static inline float fft_exp2f(float x);
__attribute__((always_inline)) static inline float fft_modff(float x,
float *intpart);
__attribute__((always_inline)) static inline int fft_convert(float value);
__attribute__((always_inline)) static inline void
fft_bit_reduct(register int *int_pointer);
__attribute__((always_inline)) static inline void
fft_pin_down(int input_data[]);
__attribute__((always_inline)) static inline void fft_init(void);
__attribute__((noinline)) __attribute__((export_name("entrypoint")))
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
fft_main(void);
__attribute__((always_inline)) static inline int fft_return(void);
__attribute__((noinline)) __attribute__((export_name("main")))
__attribute__((noinline)) __attribute__((export_name("main"))) int
main(void);
/*
Forward declaration of global variables
*/
int fft_input_data[2 * N_FFT];
/* precalculated twiddle factors
for an integer 1024 point FFT
in format 1.13 => table twidtable[ 2*(N_FFT-1) ] ; */
extern int fft_twidtable[2046];
/* 1024 real values as input data in float format */
extern float fft_input[1024];
/* will hold the transformed data */
int fft_inputfract[N_FFT];
/*
Algorithm core function
*/
__attribute__((always_inline)) static inline void
fft_bit_reduct(register int *int_pointer) {
register int i, j = 0;
register int tmpr, max = 2, m, n = N_FFT << 1;
/* do the bit reversal scramble of the input data */
__pragma_loopbound(1024, 1024);
for (i = 0; i < (n - 1); i += 2) {
if (j > i) {
tmpr = *(int_pointer + j);
*(int_pointer + j) = *(int_pointer + i);
*(int_pointer + i) = tmpr;
tmpr = *(int_pointer + j + 1);
*(int_pointer + j + 1) = *(int_pointer + i + 1);
*(int_pointer + i + 1) = tmpr;
}
m = N_FFT;
__pragma_loopbound(0, 10);
while (m >= 2 && j >= m) {
j -= m;
m >>= 1;
}
j += m;
}
{
register int *data_pointer = &fft_twidtable[0];
register int *p, *q;
register int tmpi, fr = 0, level, k, l;
__pragma_loopbound(10, 10);
while (n > max) {
level = max << 1;
__pragma_loopbound(1, 512);
for (m = 1; m < max; m += 2) {
l = *(data_pointer + fr);
k = *(data_pointer + fr + 1);
fr += 2;
__pragma_loopbound(1, 512);
for (i = m; i <= n; i += level) {
j = i + max;
p = int_pointer + j;
q = int_pointer + i;
tmpr = l * *(p - 1);
tmpr -= (k * *p);
tmpi = l * *p;
tmpi += (k * *(p - 1));
tmpr = tmpr >> SHIFT;
tmpi = tmpi >> SHIFT;
*(p - 1) = *(q - 1) - tmpr;
*p = *q - tmpi;
*(q - 1) += tmpr;
*q += tmpi;
}
}
/* implement unconditional bit reduction */
{
register int f;
p = int_pointer;
__pragma_loopbound(2048, 2048);
for (f = 0; f < 2 * N_FFT; f++) {
*p = *p >> 1;
p++;
}
}
max = level;
}
}
}
/*
Initialization- and return-value-related functions
*/
/* conversion function to 1.NUMBER_OF_BITS format */
__attribute__((always_inline)) static inline float
fft_exp2f(float x) {
int i;
float ret = 2.0f;
__pragma_loopbound(13, 13);
for (i = 1; i < x; ++i)
ret *= 2.0f;
return ret;
}
__attribute__((always_inline)) static inline float
fft_modff(float x, float *intpart) {
if (intpart) {
*intpart = (int) x;
return x - *intpart;
} else
return x;
}
/* conversion function to 1.NUMBER_OF_BITS format */
__attribute__((always_inline)) static inline int
fft_convert(float value) {
float man, t_val, frac, m, exponent = NUMBER_OF_BITS;
int rnd_val;
unsigned long int_val;
unsigned long pm_val;
m = fft_exp2f(exponent + 1) - 1;
t_val = value * m;
frac = fft_modff(t_val, &man);
if (frac < 0.0f) {
rnd_val = (-1);
if (frac > -0.5f)
rnd_val = 0;
} else {
rnd_val = 1;
if (frac < 0.5f)
rnd_val = 0;
}
int_val = (long) man + (long) rnd_val;
pm_val = int_val;
return ((int) (pm_val));
}
__attribute__((always_inline)) static inline void
fft_float2fract(void) {
float f;
int j, i;
__pragma_loopbound(1024, 1024);
for (j = 0; j < N_FFT; j++) {
f = fft_input[j];
i = fft_convert(f);
fft_inputfract[j] = i;
}
}
__attribute__((always_inline)) static inline void
fft_pin_down(int input_data[]) {
/* conversion from input to a 1.13 format */
fft_float2fract();
int *pd, *ps, f;
pd = &input_data[0];
ps = &fft_inputfract[0];
__pragma_loopbound(1024, 1024);
for (f = 0; f < N_FFT; f++) {
*pd++ = *ps++; /* fill in with real data */
*pd++ = 0; /* imaginary data is equal zero */
}
}
__attribute__((always_inline)) static inline void
fft_init(void) {
int i;
volatile int x = 0;
fft_pin_down(&fft_input_data[0]);
/* avoid constant propagation of input values */
__pragma_loopbound(2046, 2046);
for (i = 0; i < 2 * (N_FFT - 1); i++) {
fft_input_data[i] += x;
fft_twidtable[i] += x;
}
__pragma_loopbound(2, 2);
for (; i < 2 * N_FFT; i++)
fft_input_data[i] += x;
}
__attribute__((always_inline)) static inline int
fft_return(void) {
int check_sum = 0;
int i = 0;
__pragma_loopbound(2048, 2048);
for (i = 0; i < 2 * N_FFT; ++i)
check_sum += fft_input_data[i];
return check_sum != 3968;
}
/*
Main functions
*/
__attribute__((noinline)) __attribute__((export_name("entrypoint")))
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
fft_main(void) {
fft_bit_reduct(&fft_input_data[0]);
}
__attribute__((noinline)) __attribute__((export_name("main")))
__attribute__((noinline)) __attribute__((export_name("main"))) int
main(void) {
fft_init();
fft_main();
return fft_return();
}

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int fft_twidtable[2046] = {
8192, 0, 8192, 0, 0, -8192, 8192, 0, 5792, -5792, 0,
-8191, -5792, -5792, 8192, 0, 7568, -3134, 5792, -5792, 3134, -7568,
0, -8192, -3134, -7568, -5792, -5792, -7568, -3134, 8192, 0, 8034,
-1598, 7568, -3134, 6811, -4551, 5792, -5792, 4551, -6811, 3134, -7568,
1598, -8034, 0, -8192, -1598, -8034, -3134, -7568, -4551, -6811, -5792,
-5792, -6811, -4551, -7568, -3134, -8034, -1598, 8192, 0, 8152, -802,
8034, -1598, 7839, -2378, 7568, -3134, 7224, -3861, 6811, -4551, 6332,
-5196, 5792, -5792, 5196, -6332, 4551, -6811, 3861, -7224, 3134, -7568,
2378, -7839, 1598, -8034, 802, -8152, 0, -8191, -802, -8152, -1598,
-8034, -2378, -7839, -3134, -7568, -3861, -7224, -4551, -6811, -5196, -6332,
-5792, -5792, -6332, -5196, -6811, -4551, -7224, -3861, -7568, -3134, -7839,
-2378, -8034, -1598, -8152, -802, 8192, 0, 8182, -401, 8152, -802,
8103, -1202, 8034, -1598, 7946, -1990, 7839, -2378, 7713, -2759, 7568,
-3134, 7405, -3502, 7224, -3861, 7026, -4211, 6811, -4551, 6579, -4879,
6332, -5196, 6069, -5501, 5792, -5792, 5501, -6069, 5196, -6332, 4879,
-6579, 4551, -6811, 4211, -7026, 3861, -7224, 3502, -7405, 3134, -7568,
2759, -7713, 2378, -7839, 1990, -7946, 1598, -8034, 1202, -8103, 802,
-8152, 401, -8182, 0, -8192, -401, -8182, -802, -8152, -1202, -8103,
-1598, -8034, -1990, -7946, -2378, -7839, -2759, -7713, -3134, -7568, -3502,
-7405, -3861, -7224, -4211, -7026, -4551, -6811, -4879, -6579, -5196, -6332,
-5501, -6069, -5792, -5792, -6069, -5501, -6332, -5196, -6579, -4879, -6811,
-4551, -7026, -4211, -7224, -3861, -7405, -3502, -7568, -3134, -7713, -2759,
-7839, -2378, -7946, -1990, -8034, -1598, -8103, -1202, -8152, -802, -8182,
-401, 8192, 0, 8189, -201, 8182, -401, 8169, -602, 8152, -802,
8130, -1002, 8103, -1202, 8071, -1400, 8034, -1598, 7992, -1794, 7946,
-1990, 7895, -2184, 7839, -2378, 7778, -2569, 7713, -2759, 7643, -2948,
7568, -3134, 7489, -3319, 7405, -3502, 7317, -3683, 7224, -3861, 7127,
-4037, 7026, -4211, 6921, -4382, 6811, -4551, 6697, -4717, 6579, -4879,
6458, -5039, 6332, -5196, 6203, -5350, 6069, -5501, 5933, -5648, 5792,
-5792, 5648, -5933, 5501, -6069, 5350, -6203, 5196, -6332, 5039, -6458,
4879, -6579, 4717, -6697, 4551, -6811, 4382, -6921, 4211, -7026, 4037,
-7127, 3861, -7224, 3683, -7317, 3502, -7405, 3319, -7489, 3134, -7568,
2948, -7643, 2759, -7713, 2569, -7778, 2378, -7839, 2184, -7895, 1990,
-7946, 1794, -7992, 1598, -8034, 1400, -8071, 1202, -8103, 1002, -8130,
802, -8152, 602, -8169, 401, -8182, 201, -8189, 0, -8192, -201,
-8189, -401, -8182, -602, -8169, -802, -8152, -1002, -8130, -1202, -8103,
-1400, -8071, -1598, -8034, -1794, -7992, -1990, -7946, -2184, -7895, -2378,
-7839, -2569, -7778, -2759, -7713, -2948, -7643, -3134, -7568, -3319, -7489,
-3502, -7405, -3683, -7317, -3861, -7224, -4037, -7127, -4211, -7026, -4382,
-6921, -4551, -6811, -4717, -6697, -4879, -6579, -5039, -6458, -5196, -6332,
-5350, -6203, -5501, -6069, -5648, -5933, -5792, -5792, -5933, -5648, -6069,
-5501, -6203, -5350, -6332, -5196, -6458, -5039, -6579, -4879, -6697, -4717,
-6811, -4551, -6921, -4382, -7026, -4211, -7127, -4037, -7224, -3861, -7317,
-3683, -7405, -3502, -7489, -3319, -7568, -3134, -7643, -2948, -7713, -2759,
-7778, -2569, -7839, -2378, -7895, -2184, -7946, -1990, -7992, -1794, -8034,
-1598, -8071, -1400, -8103, -1202, -8130, -1002, -8152, -802, -8169, -602,
-8182, -401, -8189, -201, 8192, 0, 8191, -100, 8189, -201, 8186,
-301, 8182, -401, 8176, -502, 8169, -602, 8161, -702, 8152, -802,
8142, -902, 8130, -1002, 8117, -1102, 8103, -1202, 8087, -1301, 8071,
-1400, 8053, -1499, 8034, -1598, 8014, -1696, 7992, -1794, 7970, -1892,
7946, -1990, 7921, -2087, 7895, -2184, 7867, -2281, 7839, -2378, 7809,
-2474, 7778, -2569, 7746, -2664, 7713, -2759, 7678, -2854, 7643, -2948,
7606, -3041, 7568, -3134, 7529, -3227, 7489, -3319, 7447, -3411, 7405,
-3502, 7361, -3593, 7317, -3683, 7271, -3772, 7224, -3861, 7176, -3950,
7127, -4037, 7077, -4124, 7026, -4211, 6974, -4297, 6921, -4382, 6866,
-4467, 6811, -4551, 6755, -4634, 6697, -4717, 6639, -4798, 6579, -4879,
6519, -4960, 6458, -5039, 6395, -5118, 6332, -5196, 6268, -5274, 6203,
-5350, 6136, -5426, 6069, -5501, 6001, -5575, 5933, -5648, 5863, -5721,
5792, -5792, 5721, -5863, 5648, -5933, 5575, -6001, 5501, -6069, 5426,
-6136, 5350, -6203, 5274, -6268, 5196, -6332, 5118, -6395, 5039, -6458,
4960, -6519, 4879, -6579, 4798, -6639, 4717, -6697, 4634, -6755, 4551,
-6811, 4467, -6866, 4382, -6921, 4297, -6974, 4211, -7026, 4124, -7077,
4037, -7127, 3950, -7176, 3861, -7224, 3772, -7271, 3683, -7317, 3593,
-7361, 3502, -7405, 3411, -7447, 3319, -7489, 3227, -7529, 3134, -7568,
3041, -7606, 2948, -7643, 2854, -7678, 2759, -7713, 2664, -7746, 2569,
-7778, 2474, -7809, 2378, -7839, 2281, -7867, 2184, -7895, 2087, -7921,
1990, -7946, 1892, -7970, 1794, -7992, 1696, -8014, 1598, -8034, 1499,
-8053, 1400, -8071, 1301, -8087, 1202, -8103, 1102, -8117, 1002, -8130,
902, -8142, 802, -8152, 702, -8161, 602, -8169, 502, -8176, 401,
-8182, 301, -8186, 201, -8189, 100, -8191, 0, -8192, -100, -8191,
-201, -8189, -301, -8186, -401, -8182, -502, -8176, -602, -8169, -702,
-8161, -802, -8152, -902, -8142, -1002, -8130, -1102, -8117, -1202, -8103,
-1301, -8087, -1400, -8071, -1499, -8053, -1598, -8034, -1696, -8014, -1794,
-7992, -1892, -7970, -1990, -7946, -2087, -7921, -2184, -7895, -2281, -7867,
-2378, -7839, -2474, -7809, -2569, -7778, -2664, -7746, -2759, -7713, -2854,
-7678, -2948, -7643, -3041, -7606, -3134, -7568, -3227, -7529, -3319, -7489,
-3411, -7447, -3502, -7405, -3593, -7361, -3683, -7317, -3772, -7271, -3861,
-7224, -3950, -7176, -4037, -7127, -4124, -7077, -4211, -7026, -4297, -6974,
-4382, -6921, -4467, -6866, -4551, -6811, -4634, -6755, -4717, -6697, -4798,
-6639, -4879, -6579, -4960, -6519, -5039, -6458, -5118, -6395, -5196, -6332,
-5274, -6268, -5350, -6203, -5426, -6136, -5501, -6069, -5575, -6001, -5648,
-5933, -5721, -5863, -5792, -5792, -5863, -5721, -5933, -5648, -6001, -5575,
-6069, -5501, -6136, -5426, -6203, -5350, -6268, -5274, -6332, -5196, -6395,
-5118, -6458, -5039, -6519, -4960, -6579, -4879, -6639, -4798, -6697, -4717,
-6755, -4634, -6811, -4551, -6866, -4467, -6921, -4382, -6974, -4297, -7026,
-4211, -7077, -4124, -7127, -4037, -7176, -3950, -7224, -3861, -7271, -3772,
-7317, -3683, -7361, -3593, -7405, -3502, -7447, -3411, -7489, -3319, -7529,
-3227, -7568, -3134, -7606, -3041, -7643, -2948, -7678, -2854, -7713, -2759,
-7746, -2664, -7778, -2569, -7809, -2474, -7839, -2378, -7867, -2281, -7895,
-2184, -7921, -2087, -7946, -1990, -7970, -1892, -7992, -1794, -8014, -1696,
-8034, -1598, -8053, -1499, -8071, -1400, -8087, -1301, -8103, -1202, -8117,
-1102, -8130, -1002, -8142, -902, -8152, -802, -8161, -702, -8169, -602,
-8176, -502, -8182, -401, -8186, -301, -8189, -201, -8191, -100, 8192,
0, 8191, -50, 8191, -100, 8190, -150, 8189, -201, 8188, -251,
8186, -301, 8184, -351, 8182, -401, 8179, -452, 8176, -502, 8173,
-552, 8169, -602, 8165, -652, 8161, -702, 8157, -752, 8152, -802,
8147, -852, 8142, -902, 8136, -952, 8130, -1002, 8124, -1052, 8117,
-1102, 8110, -1152, 8103, -1202, 8095, -1251, 8087, -1301, 8079, -1350,
8071, -1400, 8062, -1450, 8053, -1499, 8044, -1548, 8034, -1598, 8024,
-1647, 8014, -1696, 8003, -1745, 7992, -1794, 7981, -1843, 7970, -1892,
7958, -1941, 7946, -1990, 7934, -2039, 7921, -2087, 7908, -2136, 7895,
-2184, 7881, -2233, 7867, -2281, 7853, -2329, 7839, -2378, 7824, -2426,
7809, -2474, 7794, -2521, 7778, -2569, 7762, -2617, 7746, -2664, 7729,
-2712, 7713, -2759, 7696, -2807, 7678, -2854, 7661, -2901, 7643, -2948,
7624, -2995, 7606, -3041, 7587, -3088, 7568, -3134, 7549, -3181, 7529,
-3227, 7509, -3273, 7489, -3319, 7468, -3365, 7447, -3411, 7426, -3457,
7405, -3502, 7383, -3547, 7361, -3593, 7339, -3638, 7317, -3683, 7294,
-3728, 7271, -3772, 7248, -3817, 7224, -3861, 7200, -3905, 7176, -3950,
7152, -3994, 7127, -4037, 7102, -4081, 7077, -4124, 7052, -4168, 7026,
-4211, 7000, -4254, 6974, -4297, 6947, -4340, 6921, -4382, 6894, -4425,
6866, -4467, 6839, -4509, 6811, -4551, 6783, -4592, 6755, -4634, 6726,
-4675, 6697, -4717, 6668, -4758, 6639, -4798, 6609, -4839, 6579, -4879,
6549, -4920, 6519, -4960, 6488, -5000, 6458, -5039, 6427, -5079, 6395,
-5118, 6364, -5157, 6332, -5196, 6300, -5235, 6268, -5274, 6235, -5312,
6203, -5350, 6170, -5388, 6136, -5426, 6103, -5464, 6069, -5501, 6036,
-5538, 6001, -5575, 5967, -5612, 5933, -5648, 5898, -5685, 5863, -5721,
5828, -5756, 5792, -5792, 5756, -5828, 5721, -5863, 5685, -5898, 5648,
-5933, 5612, -5967, 5575, -6001, 5538, -6036, 5501, -6069, 5464, -6103,
5426, -6136, 5388, -6170, 5350, -6203, 5312, -6235, 5274, -6268, 5235,
-6300, 5196, -6332, 5157, -6364, 5118, -6395, 5079, -6427, 5039, -6458,
5000, -6488, 4960, -6519, 4920, -6549, 4879, -6579, 4839, -6609, 4798,
-6639, 4758, -6668, 4717, -6697, 4675, -6726, 4634, -6755, 4592, -6783,
4551, -6811, 4509, -6839, 4467, -6866, 4425, -6894, 4382, -6921, 4340,
-6947, 4297, -6974, 4254, -7000, 4211, -7026, 4168, -7052, 4124, -7077,
4081, -7102, 4037, -7127, 3994, -7152, 3950, -7176, 3905, -7200, 3861,
-7224, 3817, -7248, 3772, -7271, 3728, -7294, 3683, -7317, 3638, -7339,
3593, -7361, 3547, -7383, 3502, -7405, 3457, -7426, 3411, -7447, 3365,
-7468, 3319, -7489, 3273, -7509, 3227, -7529, 3181, -7549, 3134, -7568,
3088, -7587, 3041, -7606, 2995, -7624, 2948, -7643, 2901, -7661, 2854,
-7678, 2807, -7696, 2759, -7713, 2712, -7729, 2664, -7746, 2617, -7762,
2569, -7778, 2521, -7794, 2474, -7809, 2426, -7824, 2378, -7839, 2329,
-7853, 2281, -7867, 2233, -7881, 2184, -7895, 2136, -7908, 2087, -7921,
2039, -7934, 1990, -7946, 1941, -7958, 1892, -7970, 1843, -7981, 1794,
-7992, 1745, -8003, 1696, -8014, 1647, -8024, 1598, -8034, 1548, -8044,
1499, -8053, 1450, -8062, 1400, -8071, 1350, -8079, 1301, -8087, 1251,
-8095, 1202, -8103, 1152, -8110, 1102, -8117, 1052, -8124, 1002, -8130,
952, -8136, 902, -8142, 852, -8147, 802, -8152, 752, -8157, 702,
-8161, 652, -8165, 602, -8169, 552, -8173, 502, -8176, 452, -8179,
401, -8182, 351, -8184, 301, -8186, 251, -8188, 201, -8189, 150,
-8190, 100, -8191, 50, -8191, 0, -8191, -50, -8191, -100, -8191,
-150, -8190, -201, -8189, -251, -8188, -301, -8186, -351, -8184, -401,
-8182, -452, -8179, -502, -8176, -552, -8173, -602, -8169, -652, -8165,
-702, -8161, -752, -8157, -802, -8152, -852, -8147, -902, -8142, -952,
-8136, -1002, -8130, -1052, -8124, -1102, -8117, -1152, -8110, -1202, -8103,
-1251, -8095, -1301, -8087, -1350, -8079, -1400, -8071, -1450, -8062, -1499,
-8053, -1548, -8044, -1598, -8034, -1647, -8024, -1696, -8014, -1745, -8003,
-1794, -7992, -1843, -7981, -1892, -7970, -1941, -7958, -1990, -7946, -2039,
-7934, -2087, -7921, -2136, -7908, -2184, -7895, -2233, -7881, -2281, -7867,
-2329, -7853, -2378, -7839, -2426, -7824, -2474, -7809, -2521, -7794, -2569,
-7778, -2617, -7762, -2664, -7746, -2712, -7729, -2759, -7713, -2807, -7696,
-2854, -7678, -2901, -7661, -2948, -7643, -2995, -7624, -3041, -7606, -3088,
-7587, -3134, -7568, -3181, -7549, -3227, -7529, -3273, -7509, -3319, -7489,
-3365, -7468, -3411, -7447, -3457, -7426, -3502, -7405, -3547, -7383, -3593,
-7361, -3638, -7339, -3683, -7317, -3728, -7294, -3772, -7271, -3817, -7248,
-3861, -7224, -3905, -7200, -3950, -7176, -3994, -7152, -4037, -7127, -4081,
-7102, -4124, -7077, -4168, -7052, -4211, -7026, -4254, -7000, -4297, -6974,
-4340, -6947, -4382, -6921, -4425, -6894, -4467, -6866, -4509, -6839, -4551,
-6811, -4592, -6783, -4634, -6755, -4675, -6726, -4717, -6697, -4758, -6668,
-4798, -6639, -4839, -6609, -4879, -6579, -4920, -6549, -4960, -6519, -5000,
-6488, -5039, -6458, -5079, -6427, -5118, -6395, -5157, -6364, -5196, -6332,
-5235, -6300, -5274, -6268, -5312, -6235, -5350, -6203, -5388, -6170, -5426,
-6136, -5464, -6103, -5501, -6069, -5538, -6035, -5575, -6001, -5612, -5967,
-5648, -5933, -5685, -5898, -5721, -5863, -5756, -5828, -5792, -5792, -5828,
-5756, -5863, -5721, -5898, -5685, -5933, -5648, -5967, -5612, -6001, -5575,
-6036, -5538, -6069, -5501, -6103, -5464, -6136, -5426, -6170, -5388, -6203,
-5350, -6235, -5312, -6268, -5274, -6300, -5235, -6332, -5196, -6364, -5157,
-6395, -5118, -6427, -5079, -6458, -5039, -6488, -5000, -6519, -4960, -6549,
-4920, -6579, -4879, -6609, -4839, -6639, -4798, -6668, -4758, -6697, -4717,
-6726, -4675, -6755, -4634, -6783, -4592, -6811, -4551, -6839, -4509, -6866,
-4467, -6894, -4425, -6921, -4382, -6947, -4340, -6974, -4297, -7000, -4254,
-7026, -4211, -7052, -4168, -7077, -4124, -7102, -4081, -7127, -4037, -7152,
-3994, -7176, -3950, -7200, -3905, -7224, -3861, -7248, -3817, -7271, -3772,
-7294, -3728, -7317, -3683, -7339, -3638, -7361, -3593, -7383, -3547, -7405,
-3502, -7426, -3457, -7447, -3411, -7468, -3365, -7489, -3319, -7509, -3273,
-7529, -3227, -7549, -3181, -7568, -3134, -7587, -3088, -7606, -3041, -7624,
-2995, -7643, -2948, -7661, -2901, -7678, -2854, -7696, -2807, -7713, -2759,
-7729, -2712, -7746, -2664, -7762, -2617, -7778, -2569, -7794, -2521, -7809,
-2474, -7824, -2426, -7839, -2378, -7853, -2329, -7867, -2281, -7881, -2233,
-7895, -2184, -7908, -2136, -7921, -2087, -7934, -2039, -7946, -1990, -7958,
-1941, -7970, -1892, -7981, -1843, -7992, -1794, -8003, -1745, -8014, -1696,
-8024, -1647, -8034, -1598, -8044, -1548, -8053, -1499, -8062, -1450, -8071,
-1400, -8079, -1350, -8087, -1301, -8095, -1251, -8103, -1202, -8110, -1152,
-8117, -1102, -8124, -1052, -8130, -1002, -8136, -952, -8142, -902, -8147,
-852, -8152, -802, -8157, -752, -8161, -702, -8165, -652, -8169, -602,
-8173, -552, -8176, -502, -8179, -452, -8182, -401, -8184, -351, -8186,
-301, -8188, -251, -8189, -201, -8190, -150, -8191, -100, -8191, -50};
/* 1024 real values as input data in float format */
float fft_input[1024] = {
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
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