#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 r22440 = th;
        float r22441 = cos(r22440);
        float r22442 = 2;
        float r22443 = sqrt(r22442);
        float r22444 = r22441 / r22443;
        float r22445 = a1;
        float r22446 = r22445 * r22445;
        float r22447 = r22444 * r22446;
        float r22448 = a2;
        float r22449 = r22448 * r22448;
        float r22450 = r22444 * r22449;
        float r22451 = r22447 + r22450;
        return r22451;
}

double f_id(double a1, double a2, double th) {
        double r22452 = th;
        double r22453 = cos(r22452);
        double r22454 = 2;
        double r22455 = sqrt(r22454);
        double r22456 = r22453 / r22455;
        double r22457 = a1;
        double r22458 = r22457 * r22457;
        double r22459 = r22456 * r22458;
        double r22460 = a2;
        double r22461 = r22460 * r22460;
        double r22462 = r22456 * r22461;
        double r22463 = r22459 + r22462;
        return r22463;
}


double f_of(float a1, float a2, float th) {
        float r22464 = th;
        float r22465 = cos(r22464);
        float r22466 = 3;
        float r22467 = pow(r22465, r22466);
        float r22468 = 2;
        float r22469 = sqrt(r22468);
        float r22470 = r22469 + r22469;
        float r22471 = r22467 / r22470;
        float r22472 = cbrt(r22471);
        float r22473 = a2;
        float r22474 = r22473 * r22473;
        float r22475 = a1;
        float r22476 = r22475 * r22475;
        float r22477 = r22474 + r22476;
        float r22478 = r22472 * r22477;
        return r22478;
}

double f_od(double a1, double a2, double th) {
        double r22479 = th;
        double r22480 = cos(r22479);
        double r22481 = 3;
        double r22482 = pow(r22480, r22481);
        double r22483 = 2;
        double r22484 = sqrt(r22483);
        double r22485 = r22484 + r22484;
        double r22486 = r22482 / r22485;
        double r22487 = cbrt(r22486);
        double r22488 = a2;
        double r22489 = r22488 * r22488;
        double r22490 = a1;
        double r22491 = r22490 * r22490;
        double r22492 = r22489 + r22491;
        double r22493 = r22487 * r22492;
        return r22493;
}

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 r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init_set_str(r22496, "2", 10, MPFR_RNDN);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22494, th, MPFR_RNDN);
        mpfr_cos(r22495, r22494, MPFR_RNDN);
        ;
        mpfr_sqrt(r22497, r22496, MPFR_RNDN);
        mpfr_div(r22498, r22495, r22497, MPFR_RNDN);
        mpfr_set_d(r22499, a1, MPFR_RNDN);
        mpfr_mul(r22500, r22499, r22499, MPFR_RNDN);
        mpfr_mul(r22501, r22498, r22500, MPFR_RNDN);
        mpfr_set_d(r22502, a2, MPFR_RNDN);
        mpfr_mul(r22503, r22502, r22502, MPFR_RNDN);
        mpfr_mul(r22504, r22498, r22503, MPFR_RNDN);
        mpfr_add(r22505, r22501, r22504, MPFR_RNDN);
        return mpfr_get_d(r22505, MPFR_RNDN);
}

static mpfr_t r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init_set_str(r22508, "3", 10, MPFR_RNDN);
        mpfr_init(r22509);
        mpfr_init_set_str(r22510, "2", 10, MPFR_RNDN);
        mpfr_init(r22511);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init(r22517);
        mpfr_init(r22518);
        mpfr_init(r22519);
        mpfr_init(r22520);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22506, th, MPFR_RNDN);
        mpfr_cos(r22507, r22506, MPFR_RNDN);
        ;
        mpfr_pow(r22509, r22507, r22508, MPFR_RNDN);
        ;
        mpfr_sqrt(r22511, r22510, MPFR_RNDN);
        mpfr_add(r22512, r22511, r22511, MPFR_RNDN);
        mpfr_div(r22513, r22509, r22512, MPFR_RNDN);
        mpfr_cbrt(r22514, r22513, MPFR_RNDN);
        mpfr_set_d(r22515, a2, MPFR_RNDN);
        mpfr_mul(r22516, r22515, r22515, MPFR_RNDN);
        mpfr_set_d(r22517, a1, MPFR_RNDN);
        mpfr_mul(r22518, r22517, r22517, MPFR_RNDN);
        mpfr_add(r22519, r22516, r22518, MPFR_RNDN);
        mpfr_mul(r22520, r22514, r22519, MPFR_RNDN);
        return mpfr_get_d(r22520, MPFR_RNDN);
}

static mpfr_t r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530, r22531, r22532, r22533, r22534, r22535;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22521);
        mpfr_init(r22522);
        mpfr_init_set_str(r22523, "3", 10, MPFR_RNDN);
        mpfr_init(r22524);
        mpfr_init_set_str(r22525, "2", 10, MPFR_RNDN);
        mpfr_init(r22526);
        mpfr_init(r22527);
        mpfr_init(r22528);
        mpfr_init(r22529);
        mpfr_init(r22530);
        mpfr_init(r22531);
        mpfr_init(r22532);
        mpfr_init(r22533);
        mpfr_init(r22534);
        mpfr_init(r22535);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22521, th, MPFR_RNDN);
        mpfr_cos(r22522, r22521, MPFR_RNDN);
        ;
        mpfr_pow(r22524, r22522, r22523, MPFR_RNDN);
        ;
        mpfr_sqrt(r22526, r22525, MPFR_RNDN);
        mpfr_add(r22527, r22526, r22526, MPFR_RNDN);
        mpfr_div(r22528, r22524, r22527, MPFR_RNDN);
        mpfr_cbrt(r22529, r22528, MPFR_RNDN);
        mpfr_set_d(r22530, a2, MPFR_RNDN);
        mpfr_mul(r22531, r22530, r22530, MPFR_RNDN);
        mpfr_set_d(r22532, a1, MPFR_RNDN);
        mpfr_mul(r22533, r22532, r22532, MPFR_RNDN);
        mpfr_add(r22534, r22531, r22533, MPFR_RNDN);
        mpfr_mul(r22535, r22529, r22534, MPFR_RNDN);
        return mpfr_get_d(r22535, MPFR_RNDN);
}