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

char *name = "Toniolo and Linder, Equation (3b), real";

double f_if(float kx, float ky, float th) {
        float r21324 = ky;
        float r21325 = sin(r21324);
        float r21326 = kx;
        float r21327 = sin(r21326);
        float r21328 = 2;
        float r21329 = pow(r21327, r21328);
        float r21330 = pow(r21325, r21328);
        float r21331 = r21329 + r21330;
        float r21332 = sqrt(r21331);
        float r21333 = r21325 / r21332;
        float r21334 = th;
        float r21335 = sin(r21334);
        float r21336 = r21333 * r21335;
        return r21336;
}

double f_id(double kx, double ky, double th) {
        double r21337 = ky;
        double r21338 = sin(r21337);
        double r21339 = kx;
        double r21340 = sin(r21339);
        double r21341 = 2;
        double r21342 = pow(r21340, r21341);
        double r21343 = pow(r21338, r21341);
        double r21344 = r21342 + r21343;
        double r21345 = sqrt(r21344);
        double r21346 = r21338 / r21345;
        double r21347 = th;
        double r21348 = sin(r21347);
        double r21349 = r21346 * r21348;
        return r21349;
}


double f_of(float kx, float ky, float th) {
        float r21350 = th;
        float r21351 = sin(r21350);
        float r21352 = ky;
        float r21353 = sin(r21352);
        float r21354 = kx;
        float r21355 = sin(r21354);
        float r21356 = hypot(r21353, r21355);
        float r21357 = r21356 / r21353;
        float r21358 = r21351 / r21357;
        return r21358;
}

double f_od(double kx, double ky, double th) {
        double r21359 = th;
        double r21360 = sin(r21359);
        double r21361 = ky;
        double r21362 = sin(r21361);
        double r21363 = kx;
        double r21364 = sin(r21363);
        double r21365 = hypot(r21362, r21364);
        double r21366 = r21365 / r21362;
        double r21367 = r21360 / r21366;
        return r21367;
}

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 r21368, r21369, r21370, r21371, r21372, r21373, r21374, r21375, r21376, r21377, r21378, r21379, r21380;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21368);
        mpfr_init(r21369);
        mpfr_init(r21370);
        mpfr_init(r21371);
        mpfr_init_set_str(r21372, "2", 10, MPFR_RNDN);
        mpfr_init(r21373);
        mpfr_init(r21374);
        mpfr_init(r21375);
        mpfr_init(r21376);
        mpfr_init(r21377);
        mpfr_init(r21378);
        mpfr_init(r21379);
        mpfr_init(r21380);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21368, ky, MPFR_RNDN);
        mpfr_sin(r21369, r21368, MPFR_RNDN);
        mpfr_set_d(r21370, kx, MPFR_RNDN);
        mpfr_sin(r21371, r21370, MPFR_RNDN);
        ;
        mpfr_pow(r21373, r21371, r21372, MPFR_RNDN);
        mpfr_pow(r21374, r21369, r21372, MPFR_RNDN);
        mpfr_add(r21375, r21373, r21374, MPFR_RNDN);
        mpfr_sqrt(r21376, r21375, MPFR_RNDN);
        mpfr_div(r21377, r21369, r21376, MPFR_RNDN);
        mpfr_set_d(r21378, th, MPFR_RNDN);
        mpfr_sin(r21379, r21378, MPFR_RNDN);
        mpfr_mul(r21380, r21377, r21379, MPFR_RNDN);
        return mpfr_get_d(r21380, MPFR_RNDN);
}

static mpfr_t r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21381);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21381, th, MPFR_RNDN);
        mpfr_sin(r21382, r21381, MPFR_RNDN);
        mpfr_set_d(r21383, ky, MPFR_RNDN);
        mpfr_sin(r21384, r21383, MPFR_RNDN);
        mpfr_set_d(r21385, kx, MPFR_RNDN);
        mpfr_sin(r21386, r21385, MPFR_RNDN);
        mpfr_hypot(r21387, r21384, r21386, MPFR_RNDN);
        mpfr_div(r21388, r21387, r21384, MPFR_RNDN);
        mpfr_div(r21389, r21382, r21388, MPFR_RNDN);
        return mpfr_get_d(r21389, MPFR_RNDN);
}

static mpfr_t r21390, r21391, r21392, r21393, r21394, r21395, r21396, r21397, r21398;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init(r21395);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21390, th, MPFR_RNDN);
        mpfr_sin(r21391, r21390, MPFR_RNDN);
        mpfr_set_d(r21392, ky, MPFR_RNDN);
        mpfr_sin(r21393, r21392, MPFR_RNDN);
        mpfr_set_d(r21394, kx, MPFR_RNDN);
        mpfr_sin(r21395, r21394, MPFR_RNDN);
        mpfr_hypot(r21396, r21393, r21395, MPFR_RNDN);
        mpfr_div(r21397, r21396, r21393, MPFR_RNDN);
        mpfr_div(r21398, r21391, r21397, MPFR_RNDN);
        return mpfr_get_d(r21398, MPFR_RNDN);
}