#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r22624 = th;
        float r22625 = cos(r22624);
        float r22626 = 2;
        float r22627 = sqrt(r22626);
        float r22628 = r22625 / r22627;
        float r22629 = a1;
        float r22630 = r22629 * r22629;
        float r22631 = r22628 * r22630;
        float r22632 = a2;
        float r22633 = r22632 * r22632;
        float r22634 = r22628 * r22633;
        float r22635 = r22631 + r22634;
        return r22635;
}

double f_id(double a1, double a2, double th) {
        double r22636 = th;
        double r22637 = cos(r22636);
        double r22638 = 2;
        double r22639 = sqrt(r22638);
        double r22640 = r22637 / r22639;
        double r22641 = a1;
        double r22642 = r22641 * r22641;
        double r22643 = r22640 * r22642;
        double r22644 = a2;
        double r22645 = r22644 * r22644;
        double r22646 = r22640 * r22645;
        double r22647 = r22643 + r22646;
        return r22647;
}


double f_of(float a1, float a2, float th) {
        float r22648 = a1;
        float r22649 = a2;
        float r22650 = hypot(r22648, r22649);
        float r22651 = th;
        float r22652 = cos(r22651);
        float r22653 = r22650 * r22652;
        float r22654 = 2;
        float r22655 = sqrt(r22654);
        float r22656 = r22653 / r22655;
        float r22657 = r22649 * r22649;
        float r22658 = fma(r22648, r22648, r22657);
        float r22659 = sqrt(r22658);
        float r22660 = r22656 * r22659;
        return r22660;
}

double f_od(double a1, double a2, double th) {
        double r22661 = a1;
        double r22662 = a2;
        double r22663 = hypot(r22661, r22662);
        double r22664 = th;
        double r22665 = cos(r22664);
        double r22666 = r22663 * r22665;
        double r22667 = 2;
        double r22668 = sqrt(r22667);
        double r22669 = r22666 / r22668;
        double r22670 = r22662 * r22662;
        double r22671 = fma(r22661, r22661, r22670);
        double r22672 = sqrt(r22671);
        double r22673 = r22669 * r22672;
        return r22673;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r22674, r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22674);
        mpfr_init(r22675);
        mpfr_init_set_str(r22676, "2", 10, MPFR_RNDN);
        mpfr_init(r22677);
        mpfr_init(r22678);
        mpfr_init(r22679);
        mpfr_init(r22680);
        mpfr_init(r22681);
        mpfr_init(r22682);
        mpfr_init(r22683);
        mpfr_init(r22684);
        mpfr_init(r22685);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22674, th, MPFR_RNDN);
        mpfr_cos(r22675, r22674, MPFR_RNDN);
        ;
        mpfr_sqrt(r22677, r22676, MPFR_RNDN);
        mpfr_div(r22678, r22675, r22677, MPFR_RNDN);
        mpfr_set_d(r22679, a1, MPFR_RNDN);
        mpfr_mul(r22680, r22679, r22679, MPFR_RNDN);
        mpfr_mul(r22681, r22678, r22680, MPFR_RNDN);
        mpfr_set_d(r22682, a2, MPFR_RNDN);
        mpfr_mul(r22683, r22682, r22682, MPFR_RNDN);
        mpfr_mul(r22684, r22678, r22683, MPFR_RNDN);
        mpfr_add(r22685, r22681, r22684, MPFR_RNDN);
        return mpfr_get_d(r22685, MPFR_RNDN);
}

static mpfr_t r22686, r22687, r22688, r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22686);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init(r22689);
        mpfr_init(r22690);
        mpfr_init(r22691);
        mpfr_init_set_str(r22692, "2", 10, MPFR_RNDN);
        mpfr_init(r22693);
        mpfr_init(r22694);
        mpfr_init(r22695);
        mpfr_init(r22696);
        mpfr_init(r22697);
        mpfr_init(r22698);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22686, a1, MPFR_RNDN);
        mpfr_set_d(r22687, a2, MPFR_RNDN);
        mpfr_hypot(r22688, r22686, r22687, MPFR_RNDN);
        mpfr_set_d(r22689, th, MPFR_RNDN);
        mpfr_cos(r22690, r22689, MPFR_RNDN);
        mpfr_mul(r22691, r22688, r22690, MPFR_RNDN);
        ;
        mpfr_sqrt(r22693, r22692, MPFR_RNDN);
        mpfr_div(r22694, r22691, r22693, MPFR_RNDN);
        mpfr_mul(r22695, r22687, r22687, MPFR_RNDN);
        mpfr_fma(r22696, r22686, r22686, r22695, MPFR_RNDN);
        mpfr_sqrt(r22697, r22696, MPFR_RNDN);
        mpfr_mul(r22698, r22694, r22697, MPFR_RNDN);
        return mpfr_get_d(r22698, MPFR_RNDN);
}

static mpfr_t r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22699);
        mpfr_init(r22700);
        mpfr_init(r22701);
        mpfr_init(r22702);
        mpfr_init(r22703);
        mpfr_init(r22704);
        mpfr_init_set_str(r22705, "2", 10, MPFR_RNDN);
        mpfr_init(r22706);
        mpfr_init(r22707);
        mpfr_init(r22708);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22699, a1, MPFR_RNDN);
        mpfr_set_d(r22700, a2, MPFR_RNDN);
        mpfr_hypot(r22701, r22699, r22700, MPFR_RNDN);
        mpfr_set_d(r22702, th, MPFR_RNDN);
        mpfr_cos(r22703, r22702, MPFR_RNDN);
        mpfr_mul(r22704, r22701, r22703, MPFR_RNDN);
        ;
        mpfr_sqrt(r22706, r22705, MPFR_RNDN);
        mpfr_div(r22707, r22704, r22706, MPFR_RNDN);
        mpfr_mul(r22708, r22700, r22700, MPFR_RNDN);
        mpfr_fma(r22709, r22699, r22699, r22708, MPFR_RNDN);
        mpfr_sqrt(r22710, r22709, MPFR_RNDN);
        mpfr_mul(r22711, r22707, r22710, MPFR_RNDN);
        return mpfr_get_d(r22711, MPFR_RNDN);
}