#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 r22443 = th;
        float r22444 = cos(r22443);
        float r22445 = 2;
        float r22446 = sqrt(r22445);
        float r22447 = r22444 / r22446;
        float r22448 = a1;
        float r22449 = r22448 * r22448;
        float r22450 = r22447 * r22449;
        float r22451 = a2;
        float r22452 = r22451 * r22451;
        float r22453 = r22447 * r22452;
        float r22454 = r22450 + r22453;
        return r22454;
}

double f_id(double a1, double a2, double th) {
        double r22455 = th;
        double r22456 = cos(r22455);
        double r22457 = 2;
        double r22458 = sqrt(r22457);
        double r22459 = r22456 / r22458;
        double r22460 = a1;
        double r22461 = r22460 * r22460;
        double r22462 = r22459 * r22461;
        double r22463 = a2;
        double r22464 = r22463 * r22463;
        double r22465 = r22459 * r22464;
        double r22466 = r22462 + r22465;
        return r22466;
}


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

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

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 r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init_set_str(r22493, "2", 10, MPFR_RNDN);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22491, th, MPFR_RNDN);
        mpfr_cos(r22492, r22491, MPFR_RNDN);
        ;
        mpfr_sqrt(r22494, r22493, MPFR_RNDN);
        mpfr_div(r22495, r22492, r22494, MPFR_RNDN);
        mpfr_set_d(r22496, a1, MPFR_RNDN);
        mpfr_mul(r22497, r22496, r22496, MPFR_RNDN);
        mpfr_mul(r22498, r22495, r22497, MPFR_RNDN);
        mpfr_set_d(r22499, a2, MPFR_RNDN);
        mpfr_mul(r22500, r22499, r22499, MPFR_RNDN);
        mpfr_mul(r22501, r22495, r22500, MPFR_RNDN);
        mpfr_add(r22502, r22498, r22501, MPFR_RNDN);
        return mpfr_get_d(r22502, MPFR_RNDN);
}

static mpfr_t r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init_set_str(r22505, "2", 10, MPFR_RNDN);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        mpfr_init(r22510);
        mpfr_init(r22511);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22503, th, MPFR_RNDN);
        mpfr_cos(r22504, r22503, MPFR_RNDN);
        ;
        mpfr_sqrt(r22506, r22505, MPFR_RNDN);
        mpfr_div(r22507, r22504, r22506, MPFR_RNDN);
        mpfr_set_d(r22508, a1, MPFR_RNDN);
        mpfr_mul(r22509, r22507, r22508, MPFR_RNDN);
        mpfr_mul(r22510, r22509, r22508, MPFR_RNDN);
        mpfr_set_d(r22511, a2, MPFR_RNDN);
        mpfr_mul(r22512, r22511, r22511, MPFR_RNDN);
        mpfr_mul(r22513, r22507, r22512, MPFR_RNDN);
        mpfr_add(r22514, r22510, r22513, MPFR_RNDN);
        return mpfr_get_d(r22514, MPFR_RNDN);
}

static mpfr_t r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init_set_str(r22517, "2", 10, MPFR_RNDN);
        mpfr_init(r22518);
        mpfr_init(r22519);
        mpfr_init(r22520);
        mpfr_init(r22521);
        mpfr_init(r22522);
        mpfr_init(r22523);
        mpfr_init(r22524);
        mpfr_init(r22525);
        mpfr_init(r22526);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22515, th, MPFR_RNDN);
        mpfr_cos(r22516, r22515, MPFR_RNDN);
        ;
        mpfr_sqrt(r22518, r22517, MPFR_RNDN);
        mpfr_div(r22519, r22516, r22518, MPFR_RNDN);
        mpfr_set_d(r22520, a1, MPFR_RNDN);
        mpfr_mul(r22521, r22519, r22520, MPFR_RNDN);
        mpfr_mul(r22522, r22521, r22520, MPFR_RNDN);
        mpfr_set_d(r22523, a2, MPFR_RNDN);
        mpfr_mul(r22524, r22523, r22523, MPFR_RNDN);
        mpfr_mul(r22525, r22519, r22524, MPFR_RNDN);
        mpfr_add(r22526, r22522, r22525, MPFR_RNDN);
        return mpfr_get_d(r22526, MPFR_RNDN);
}