diff --git a/C/FFT_FP_realisation.c b/C/FFT_FP_realisation.c new file mode 100644 index 0000000..e85ede0 --- /dev/null +++ b/C/FFT_FP_realisation.c @@ -0,0 +1,88 @@ +#include "FFT_FP_realisation.h" + +#include +#include + +static int64_t twiddle_re[TWIDDLE_L] = {0,}; +static int64_t twiddle_im[TWIDDLE_L] = {0,}; + +void fft_fp_prepare(void){ + for (uint32_t k = 0; k < TWIDDLE_L; ++k){ + double angle = 2.0 * PI * k / DATA_L; + twiddle_re[k] = lround(cos(angle) * FP_acc); + twiddle_im[k] = lround(-sin(angle) * FP_acc); + printf("k, angle, tw_re, tw_im: %u %g %lld %lld\n", k, angle, (long long)twiddle_re[k], (long long)twiddle_im[k]); + } +} + +void FFT_fp(int64_t* inp, uint32_t inp_L, int64_t* buf){ + + // buf имеет длину inp_L * 2 (Re, Im, Re, Im, ...) + // inp содержит inp_L значений uint32_t + + uint32_t i, j, bit; +// uint32_t N = inp_L / 2; // длина комплексного массива (inp содержит только Re-часть) + uint32_t N = inp_L; // длина комплексного массива (inp содержит только Re-часть) + + // --- копирование входных данных в буфер --- + for (i = 0; i < inp_L; i++) { + buf[i * 2] = inp[i]; + buf[i * 2 + 1] = 0; + } + + // --- bit-reversal перестановка --- + j = 0; + for (i = 1; i < N; i++) { + bit = N >> 1; + while (j & bit) { + j ^= bit; + bit >>= 1; + } + j |= bit; + if (i < j) { + int64_t tmp_re = buf[i * 2]; + int64_t tmp_im = buf[i * 2 + 1]; + buf[i * 2] = buf[j * 2]; + buf[i * 2 + 1] = buf[j * 2 + 1]; + buf[j * 2] = tmp_re; + buf[j * 2 + 1] = tmp_im; + } + } + + // --- уровни бабочек --- + uint32_t m = 2; + while (m <= N) { + uint32_t half = m >> 1; + uint32_t stride = N / m; + + for (uint32_t start = 0; start < N; start += m) { + for (uint32_t k = 0; k < half; k++) { + uint32_t tw_idx = k * stride; + int64_t wr = twiddle_re[tw_idx]; + int64_t wi = twiddle_im[tw_idx]; + int64_t u_re = buf[(start + k) * 2]; + int64_t u_im = buf[(start + k) * 2 + 1]; + int64_t v_re = buf[(start + k + half) * 2]; + int64_t v_im = buf[(start + k + half) * 2 + 1]; + + // t = w * v (в фиксированной точке) + int64_t t_re = (wr * v_re - wi * v_im) / FP_acc; + int64_t t_im = (wr * v_im + wi * v_re) / FP_acc; + + // верх/низ + buf[(start + k) * 2] = u_re + t_re; + buf[(start + k) * 2 + 1] = u_im + t_im; + buf[(start + k + half) * 2] = u_re - t_re; + buf[(start + k + half) * 2 + 1] = u_im - t_im; + + } + } + m <<= 1; + } + for (uint32_t ii = 0; ii < inp_L; ++ii){ + //buf[ii*2] /= inp_L; + //buf[ii*2+1] /= inp_L; + printf("re,im: %lld, %lld\n", (long long)buf[ii*2], (long long)buf[ii*2 +1]); + } + +} diff --git a/C/FFT_FP_realisation.h b/C/FFT_FP_realisation.h new file mode 100644 index 0000000..08b894e --- /dev/null +++ b/C/FFT_FP_realisation.h @@ -0,0 +1,25 @@ +#ifndef FFT_FP_REALISATION_H +#define FFT_FP_REALISATION_H + +#include + +#ifndef DATA_L +#define DATA_L (1 << 16) +#endif + +#ifndef FP_acc +#define FP_acc 1000 +#endif + +#ifndef TWIDDLE_L +#define TWIDDLE_L (DATA_L / 2) +#endif + +#ifndef PI +#define PI 3.141592653589793238462643383279502884197169399375105820974944 +#endif + +void fft_fp_prepare(void); +void FFT_fp(int64_t* inp, uint32_t inp_L, int64_t* buf); + +#endif diff --git a/C/FFT_FP_realisation.o b/C/FFT_FP_realisation.o new file mode 100644 index 0000000..f2bb51d Binary files /dev/null and b/C/FFT_FP_realisation.o differ diff --git a/C/FFT_realistaion.c b/C/FFT_realistaion.c new file mode 100644 index 0000000..e69de29 diff --git a/C/FFT_realistaion.h b/C/FFT_realistaion.h new file mode 100644 index 0000000..3ac499c --- /dev/null +++ b/C/FFT_realistaion.h @@ -0,0 +1,24 @@ +#include +#include +#include +#include +#include + +#define DATA_L (1<<17) +#define FP_acc (1 << 10) +#define TWIDDLE_L (DATA_L / 2) + +#define PI 3.141592653589793238462643383279502884197169399375105820974944 + +int64_t twiddle_re[TWIDDLE_L] = {0,}; +int64_t twiddle_im[TWIDDLE_L] = {0,}; + +void FFT_fp(int64_t* inp, uint32_t inp_L, int64_t* buf){ + +} + +void twiddle_fill(int64_t* tw_re, int64_t* tw_im, uint32_t N){ + +} + + diff --git a/C/FFT_test.c b/C/FFT_test.c new file mode 100644 index 0000000..8d1c8b6 --- /dev/null +++ b/C/FFT_test.c @@ -0,0 +1 @@ + diff --git a/C/FP_math b/C/FP_math index 0849209..91baf6b 100755 Binary files a/C/FP_math and b/C/FP_math differ diff --git a/C/FP_math.c b/C/FP_math.c index 760506e..8e2bdfe 100644 --- a/C/FP_math.c +++ b/C/FP_math.c @@ -4,91 +4,12 @@ #include #include -#define DATA_L 1024 +#define DATA_L (1<<16) #define FP_acc 1000 -#define PI 3.141592653589793238462643383279502884197169399375105820974944 +#include "FFT_FP_realisation.h" - -int64_t cos_delta_FP_arr[DATA_L] = {0,}; -int64_t sin_delta_FP_arr[DATA_L] = {0,}; -int64_t wr_arr[DATA_L][DATA_L / 2] = {0,}; -int64_t wi_arr[DATA_L][DATA_L / 2] = {0,}; - -void FFT_fp(int64_t* inp, uint32_t inp_L, int64_t* buf){ - - // buf имеет длину inp_L * 2 (Re, Im, Re, Im, ...) - // inp содержит inp_L значений uint32_t - - uint32_t i, j, bit; -// uint32_t N = inp_L / 2; // длина комплексного массива (inp содержит только Re-часть) - uint32_t N = inp_L; // длина комплексного массива (inp содержит только Re-часть) - - // --- копирование входных данных в буфер --- - for (i = 0; i < inp_L; i++) { - buf[i * 2] = inp[i]; - buf[i * 2 + 1] = 0; - } - - // --- bit-reversal перестановка --- - j = 0; - for (i = 1; i < N; i++) { - bit = N >> 1; - while (j & bit) { - j ^= bit; - bit >>= 1; - } - j |= bit; - if (i < j) { - int64_t tmp_re = buf[i * 2]; - int64_t tmp_im = buf[i * 2 + 1]; - buf[i * 2] = buf[j * 2]; - buf[i * 2 + 1] = buf[j * 2 + 1]; - buf[j * 2] = tmp_re; - buf[j * 2 + 1] = tmp_im; - } - } - - // --- уровни бабочек --- - uint32_t m = 2; - while (m <= N) { - uint32_t half = m >> 1; - - for (uint32_t start = 0; start < N; start += m) { - int64_t *twiddle_re = wr_arr[m - 2]; - int64_t *twiddle_im = wi_arr[m - 2]; - - for (uint32_t k = 0; k < half; k++) { - int64_t wr = twiddle_re[k]; - int64_t wi = twiddle_im[k]; - int64_t u_re = buf[(start + k) * 2]; - int64_t u_im = buf[(start + k) * 2 + 1]; - int64_t v_re = buf[(start + k + half) * 2]; - int64_t v_im = buf[(start + k + half) * 2 + 1]; - - // t = w * v (в фиксированной точке) - int64_t t_re = (wr * v_re - wi * v_im) / FP_acc; - int64_t t_im = (wr * v_im + wi * v_re) / FP_acc; - - // верх/низ - buf[(start + k) * 2] = u_re + t_re; - buf[(start + k) * 2 + 1] = u_im + t_im; - buf[(start + k + half) * 2] = u_re - t_re; - buf[(start + k + half) * 2 + 1] = u_im - t_im; - - } - } - m <<= 1; - } - for (uint32_t i = 0; i < inp_L; ++i){ - //buf[i*2] /= inp_L; - //buf[i*2+1] /= inp_L; - printf("re,im: %lld, %lld\n", (long long)buf[i*2], (long long)buf[i*2 +1]); - } - -} - void imagery2abs(int64_t* inp, uint32_t inp_L, int64_t *out){ printf("+++++++++++++++++++++\n"); printf("calculating abs^2\n"); @@ -100,26 +21,6 @@ void imagery2abs(int64_t* inp, uint32_t inp_L, int64_t *out){ out[i] = val; } } - - - -void sin_cos_filler(int64_t* sin_arr, int64_t* cos_arr, uint32_t L){ - //[int(-sin(2.0 * pi / m) * FP_acc) for m in range(2,inp_L//2 + 2)] - for (uint32_t i = 0; i < L; ++i){ - int m = i + 2; - double angle = 2.0* PI/m; - sin_arr[i] = lround(-sin(angle) * FP_acc); - cos_arr[i] = lround(cos(angle) * FP_acc); - uint32_t half = m >> 1; - for (uint32_t k = 0; k < half; ++k){ - double tw_angle = angle * k; - wr_arr[i][k] = lround(cos(tw_angle) * FP_acc); - wi_arr[i][k] = lround(-sin(tw_angle) * FP_acc); - } - printf("i, angle, sin, cos: %d %g %lld %lld\n", i, angle, (long long)sin_arr[i], (long long)cos_arr[i]); - } -} - void data_generator(int64_t* X, int64_t* Y, uint32_t N){ for (int i = 0; i < N; ++i){ X[i] = (int64_t)i; @@ -135,7 +36,7 @@ void main(){ int64_t data_res_FFT_imag[DATA_L*2] = {0,}; int64_t data_res_FFT_abs[DATA_L] = {0,}; - sin_cos_filler(sin_delta_FP_arr, cos_delta_FP_arr, DATA_L); + fft_fp_prepare(); data_generator(data_X, data_Y, DATA_L); diff --git a/C/FP_math.c_backup b/C/FP_math.c_backup new file mode 100644 index 0000000..2b28509 --- /dev/null +++ b/C/FP_math.c_backup @@ -0,0 +1,152 @@ +#include +#include +#include +#include +#include + +#define DATA_L 1024 +#define FP_acc 1000 + +#define PI 3.141592653589793238462643383279502884197169399375105820974944 + + + +int cos_delta_FP_arr[DATA_L] = {0,}; +int sin_delta_FP_arr[DATA_L] = {0,}; + +void FFT_fp(uint32_t* inp, uint32_t inp_L, uint32_t* buf){ + + // buf имеет длину inp_L * 2 (Re, Im, Re, Im, ...) + // inp содержит inp_L значений uint32_t + + uint32_t i, j, bit; +// uint32_t N = inp_L / 2; // длина комплексного массива (inp содержит только Re-часть) + uint32_t N = inp_L; // длина комплексного массива (inp содержит только Re-часть) + + // --- копирование входных данных в буфер --- + for (i = 0; i < inp_L; i++) { + buf[i * 2] = (int)inp[i]; // Re + buf[i * 2 + 1] = 0; // Im = 0 + } + + // --- bit-reversal перестановка --- + j = 0; + for (i = 1; i < N; i++) { + bit = N >> 1; + while (j & bit) { + j ^= bit; + bit >>= 1; + } + j |= bit; + if (i < j) { + int tmp_re = buf[i * 2]; + int tmp_im = buf[i * 2 + 1]; + buf[i * 2] = buf[j * 2]; + buf[i * 2 + 1] = buf[j * 2 + 1]; + buf[j * 2] = tmp_re; + buf[j * 2 + 1] = tmp_im; + } + } + + // --- уровни бабочек --- + uint32_t m = 2; + while (m <= N) { + uint32_t half = m >> 1; + + int c_delta_FP = cos_delta_FP_arr[m - 2]; + int s_delta_FP = sin_delta_FP_arr[m - 2]; + + for (uint32_t start = 0; start < N; start += m) { + int wr = FP_acc; + int wi = 0; + + for (uint32_t k = 0; k < half; k++) { + int u_re = buf[(start + k) * 2]; + int u_im = buf[(start + k) * 2 + 1]; + int v_re = buf[(start + k + half) * 2]; + int v_im = buf[(start + k + half) * 2 + 1]; + + // t = w * v (в фиксированной точке) + int64_t t_re = ((int64_t)wr * v_re - (int64_t)wi * v_im) / FP_acc; + int64_t t_im = ((int64_t)wr * v_im + (int64_t)wi * v_re) / FP_acc; + + // верх/низ + buf[(start + k) * 2] = u_re + (int)t_re; + buf[(start + k) * 2 + 1] = u_im + (int)t_im; + buf[(start + k + half) * 2] = u_re - (int)t_re; + buf[(start + k + half) * 2 + 1] = u_im - (int)t_im; + + // w *= w_m (обновление twiddle) + int64_t wr_new = ((int64_t)wr * c_delta_FP - (int64_t)wi * s_delta_FP) / FP_acc; + int64_t wi_new = ((int64_t)wr * s_delta_FP + (int64_t)wi * c_delta_FP) / FP_acc; + wr = (int)wr_new; + wi = (int)wi_new; + } + } + m <<= 1; + } + for (uint32_t i = 0; i < inp_L; ++i){ + //buf[i*2] /= inp_L; + //buf[i*2+1] /= inp_L; + printf("re,im: %d, %d\n", buf[i*2], buf[i*2 +1]); + } + +} + +void imagery2abs(uint32_t* inp, uint32_t inp_L, uint32_t *out){ + printf("+++++++++++++++++++++\n"); + printf("calculating abs^2\n"); + for (uint32_t i = 0; i < inp_L; ++i){ + int val = (inp[i*2]*inp[i*2] + inp[i*2 +1]*inp[i*2 +1])/FP_acc; + printf("%d\n", val); + out[i] = val; + } +} + + + +void sin_cos_filler(int* sin_arr, int* cos_arr, uint32_t L){ + //[int(-sin(2.0 * pi / m) * FP_acc) for m in range(2,inp_L//2 + 2)] + for (uint32_t i = 0; i < L; ++i){ + int m = i + 2; + double angle = 2.0* PI/m; + sin_arr[i] = lround(-sin(angle) * FP_acc); + cos_arr[i] = lround(cos(angle) * FP_acc); + printf("i, angle, sin, cos: %d %g %d %d\n", i, angle, sin_arr[i], cos_arr[i]); + } +} + +void data_generator(uint32_t* X, uint32_t* Y, uint32_t N){ + for (int i = 0; i < N; ++i){ + X[i] = (int) i; + Y[i] = lround(sin(((double)i)*2.0* PI/(N/10))*FP_acc); +// Y[I] += 10*FP_acc; + } +} + +void main(){ + char* logfilename = "tmp"; + uint32_t data_X[DATA_L] = {0,}; + uint32_t data_Y[DATA_L] = {0,}; + uint32_t data_res_FFT_imag[DATA_L*2] = {0,}; + uint32_t data_res_FFT_abs[DATA_L] = {0,}; + + sin_cos_filler(sin_delta_FP_arr, cos_delta_FP_arr, DATA_L); + + data_generator(data_X, data_Y, DATA_L); + + + FFT_fp(data_Y, DATA_L, data_res_FFT_imag); + + + imagery2abs(data_res_FFT_imag, DATA_L, data_res_FFT_abs); + + FILE *logfile_ptr; + logfile_ptr = fopen(logfilename, "w"); + fprintf(logfile_ptr, "X, Y, FFT\n"); + for (uint32_t i = 0; i < DATA_L; ++i){ + fprintf(logfile_ptr, "%d, %d, %d \n", data_X[i], data_Y[i],data_res_FFT_abs[i]); + } + fclose(logfile_ptr); +} + diff --git a/C/FP_math.o b/C/FP_math.o new file mode 100644 index 0000000..41c2e37 Binary files /dev/null and b/C/FP_math.o differ diff --git a/C/Makefile b/C/Makefile index 1047e84..1bc95fa 100644 --- a/C/Makefile +++ b/C/Makefile @@ -1,5 +1,14 @@ -all: - gcc FP_math.c -o FP_math -lm +SRCS := FP_math.c FFT_FP_realisation.c +OBJS := $(SRCS:.c=.o) +TARGET := FP_math + +all: $(TARGET) + +$(TARGET): $(OBJS) + gcc $(OBJS) -o $@ -lm + +%.o: %.c + gcc -c $< -o $@ clean: - -rm FP_math + -rm -f $(TARGET) $(OBJS) diff --git a/C/plotter.py b/C/plotter.py index 509986e..2c1a6f8 100755 --- a/C/plotter.py +++ b/C/plotter.py @@ -51,6 +51,7 @@ if __name__ == "__main__": print("data samples:",len(data[X_name])) for key, val in data.items(): if key != X_name: - chart.add_trace(go.Scatter(x=data[X_name], y=val, name=key, mode="markers+lines")) +# chart.add_trace(go.Scatter(x=data[X_name], y=val, name=key, mode="markers+lines")) + chart.add_trace(go.Scatter(x=data[X_name], y=val, name=key, mode="lines")) chart.show() diff --git a/C/tmp b/C/tmp index 2015f6e..900e12b 100644 --- a/C/tmp +++ b/C/tmp @@ -1,1025 +1,65537 @@ X, Y, FFT -0, 1, 1.04933e+06 -1, 1.062, 0.269 -2, 1.123, 0.816 -3, 1.184, 1.747 -4, 1.244, 3.648 -5, 1.303, 7.062 -6, 1.361, 14.094 -7, 1.418, 29.067 -8, 1.473, 75.933 -9, 1.526, 330.542 -10, 1.578, 259542 -11, 1.627, 467.528 -12, 1.674, 122.474 -13, 1.718, 57.607 -14, 1.759, 34.084 -15, 1.798, 22.813 -16, 1.834, 16.9 -17, 1.866, 12.862 -18, 1.895, 10.319 -19, 1.921, 8.384 -20, 1.943, 7.07 -21, 1.962, 6.049 -22, 1.977, 5.659 -23, 1.988, 4.538 -24, 1.996, 4.017 -25, 2, 3.545 -26, 2, 3.072 -27, 1.996, 2.877 -28, 1.988, 2.631 -29, 1.977, 2.4 -30, 1.962, 2.255 -31, 1.943, 1.99 -32, 1.921, 1.9 -33, 1.895, 1.776 -34, 1.866, 1.64 -35, 1.834, 1.516 -36, 1.798, 1.449 -37, 1.759, 1.351 -38, 1.718, 1.222 -39, 1.674, 1.179 -40, 1.627, 1.13 -41, 1.578, 1.049 -42, 1.526, 1.211 -43, 1.473, 0.965 -44, 1.418, 0.907 -45, 1.361, 0.867 -46, 1.303, 0.825 -47, 1.244, 0.775 -48, 1.184, 0.75 -49, 1.123, 0.694 -50, 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