#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 r23428 = th;
        float r23429 = cos(r23428);
        float r23430 = 2;
        float r23431 = sqrt(r23430);
        float r23432 = r23429 / r23431;
        float r23433 = a1;
        float r23434 = r23433 * r23433;
        float r23435 = r23432 * r23434;
        float r23436 = a2;
        float r23437 = r23436 * r23436;
        float r23438 = r23432 * r23437;
        float r23439 = r23435 + r23438;
        return r23439;
}

double f_id(double a1, double a2, double th) {
        double r23440 = th;
        double r23441 = cos(r23440);
        double r23442 = 2;
        double r23443 = sqrt(r23442);
        double r23444 = r23441 / r23443;
        double r23445 = a1;
        double r23446 = r23445 * r23445;
        double r23447 = r23444 * r23446;
        double r23448 = a2;
        double r23449 = r23448 * r23448;
        double r23450 = r23444 * r23449;
        double r23451 = r23447 + r23450;
        return r23451;
}


double f_of(float a1, float a2, float th) {
        float r23452 = a1;
        float r23453 = a2;
        float r23454 = hypot(r23452, r23453);
        float r23455 = th;
        float r23456 = cos(r23455);
        float r23457 = r23454 * r23456;
        float r23458 = 2;
        float r23459 = sqrt(r23458);
        float r23460 = r23457 / r23459;
        float r23461 = r23460 * r23454;
        return r23461;
}

double f_od(double a1, double a2, double th) {
        double r23462 = a1;
        double r23463 = a2;
        double r23464 = hypot(r23462, r23463);
        double r23465 = th;
        double r23466 = cos(r23465);
        double r23467 = r23464 * r23466;
        double r23468 = 2;
        double r23469 = sqrt(r23468);
        double r23470 = r23467 / r23469;
        double r23471 = r23470 * r23464;
        return r23471;
}

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 r23472, r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480, r23481, r23482, r23483;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23472);
        mpfr_init(r23473);
        mpfr_init_set_str(r23474, "2", 10, MPFR_RNDN);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
        mpfr_init(r23478);
        mpfr_init(r23479);
        mpfr_init(r23480);
        mpfr_init(r23481);
        mpfr_init(r23482);
        mpfr_init(r23483);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23472, th, MPFR_RNDN);
        mpfr_cos(r23473, r23472, MPFR_RNDN);
        ;
        mpfr_sqrt(r23475, r23474, MPFR_RNDN);
        mpfr_div(r23476, r23473, r23475, MPFR_RNDN);
        mpfr_set_d(r23477, a1, MPFR_RNDN);
        mpfr_mul(r23478, r23477, r23477, MPFR_RNDN);
        mpfr_mul(r23479, r23476, r23478, MPFR_RNDN);
        mpfr_set_d(r23480, a2, MPFR_RNDN);
        mpfr_mul(r23481, r23480, r23480, MPFR_RNDN);
        mpfr_mul(r23482, r23476, r23481, MPFR_RNDN);
        mpfr_add(r23483, r23479, r23482, MPFR_RNDN);
        return mpfr_get_d(r23483, MPFR_RNDN);
}

static mpfr_t r23484, r23485, r23486, r23487, r23488, r23489, r23490, r23491, r23492, r23493;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23484);
        mpfr_init(r23485);
        mpfr_init(r23486);
        mpfr_init(r23487);
        mpfr_init(r23488);
        mpfr_init(r23489);
        mpfr_init_set_str(r23490, "2", 10, MPFR_RNDN);
        mpfr_init(r23491);
        mpfr_init(r23492);
        mpfr_init(r23493);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23484, a1, MPFR_RNDN);
        mpfr_set_d(r23485, a2, MPFR_RNDN);
        mpfr_hypot(r23486, r23484, r23485, MPFR_RNDN);
        mpfr_set_d(r23487, th, MPFR_RNDN);
        mpfr_cos(r23488, r23487, MPFR_RNDN);
        mpfr_mul(r23489, r23486, r23488, MPFR_RNDN);
        ;
        mpfr_sqrt(r23491, r23490, MPFR_RNDN);
        mpfr_div(r23492, r23489, r23491, MPFR_RNDN);
        mpfr_mul(r23493, r23492, r23486, MPFR_RNDN);
        return mpfr_get_d(r23493, MPFR_RNDN);
}

static mpfr_t r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init(r23499);
        mpfr_init_set_str(r23500, "2", 10, MPFR_RNDN);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23494, a1, MPFR_RNDN);
        mpfr_set_d(r23495, a2, MPFR_RNDN);
        mpfr_hypot(r23496, r23494, r23495, MPFR_RNDN);
        mpfr_set_d(r23497, th, MPFR_RNDN);
        mpfr_cos(r23498, r23497, MPFR_RNDN);
        mpfr_mul(r23499, r23496, r23498, MPFR_RNDN);
        ;
        mpfr_sqrt(r23501, r23500, MPFR_RNDN);
        mpfr_div(r23502, r23499, r23501, MPFR_RNDN);
        mpfr_mul(r23503, r23502, r23496, MPFR_RNDN);
        return mpfr_get_d(r23503, MPFR_RNDN);
}