#include <unistd.h>
#include <math.h>

#include <arm_math.h>
#include <levmarq.h>

#include "freq_meas.h"
#include "sr_global.h"


/* FTT window lookup table defined in generated/fmeas_fft_window.c */
extern const float * const fmeas_fft_window_table;

/* jury-rig some definitions for these functions since the ARM headers only export an over-generalized variable bin size
 * variant. */
extern arm_status arm_rfft_32_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_64_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_128_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_256_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_512_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_1024_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_2048_fast_init_f32(arm_rfft_fast_instance_f32 * S);
extern arm_status arm_rfft_4096_fast_init_f32(arm_rfft_fast_instance_f32 * S);

#define CONCAT(A, B, C) A ## B ## C
#define arm_rfft_init_name(nbits) CONCAT(arm_rfft_, nbits, _fast_init_f32)

float func_gauss_grad(float *out, float *params, int x, void *userdata);
float func_gauss(float *params, int x, void *userdata);

int adc_buf_measure_freq(uint16_t adc_buf[FMEAS_FFT_LEN], float *out) {
    int rc;
    float in_buf[FMEAS_FFT_LEN];
    float out_buf[FMEAS_FFT_LEN];
    for (size_t i=0; i<FMEAS_FFT_LEN; i++)
        in_buf[i] = (float)adc_buf[i] / (float)FMEAS_ADC_MAX * fmeas_fft_window_table[i];

    arm_rfft_fast_instance_f32 fft_inst;
    if ((rc = arm_rfft_init_name(FMEAS_FFT_LEN)(&fft_inst)) != ARM_MATH_SUCCESS)
        return rc;

    arm_rfft_fast_f32(&fft_inst, in_buf, out_buf, 0);

#define FMEAS_FFT_WINDOW_MIN_F 30.0f
#define FMEAS_FFT_WINDOW_MAX_F 70.0f
    const float binsize = (float)FMEAS_ADC_SAMPLING_RATE / FMEAS_FFT_LEN;
    const int first_bin = (int)(FMEAS_FFT_WINDOW_MIN_F / binsize);
    const int last_bin = (int)(FMEAS_FFT_WINDOW_MAX_F / binsize + 0.5f);
    const int nbins = last_bin - first_bin + 1;

    /* Copy real values of target data to front of output buffer */
    for (size_t i=0; i<nbins; i++)
        out_buf[i] = out_buf[2 * (first_bin + i)];

    LMstat lmstat;
    levmarq_init(&lmstat);

    float a_max = 0.0f;
    int i_max = 0;
    for (size_t i=0; i<nbins; i++) {
        if (out_buf[i] > a_max) {
            a_max = out_buf[i];
            i_max = i;
        }
    }

    float par[3] = {
        a_max, i_max, 1.0f
    };

    if (levmarq(3, &params, nbins, out_buf, NULL, func_gauss, func_gauss_grad, NULL, &lmstat))
        return -1;

    *out = (params[1] + first_bin) * binsize;

    return 0;
}

float func_gauss(float *params, int x, void *userdata) {
    UNUSED(userdata);
    float a = params[0];
    float mu = params[1];
    float sigma = params[2];
    return a*expf(-arm_power_f32((x-mu), 2.0f/(2.0f*(sigma*sigma))));
}

float func_gauss_grad(float *out, float *params, int x, void *userdata) {
    UNUSED(userdata);
    float a = params[0];
    float mu = params[1];
    float sigma = params[2];
    return -(x-mu) / (  sigma*sigma*sigma * 2.5066282746310002f) * a*expf(-arm_power_f32((x-mu), 2.0f/(2.0f*(sigma*sigma))));
}