#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 r21319 = ky;
        float r21320 = sin(r21319);
        float r21321 = kx;
        float r21322 = sin(r21321);
        float r21323 = 2;
        float r21324 = pow(r21322, r21323);
        float r21325 = pow(r21320, r21323);
        float r21326 = r21324 + r21325;
        float r21327 = sqrt(r21326);
        float r21328 = r21320 / r21327;
        float r21329 = th;
        float r21330 = sin(r21329);
        float r21331 = r21328 * r21330;
        return r21331;
}

double f_id(double kx, double ky, double th) {
        double r21332 = ky;
        double r21333 = sin(r21332);
        double r21334 = kx;
        double r21335 = sin(r21334);
        double r21336 = 2;
        double r21337 = pow(r21335, r21336);
        double r21338 = pow(r21333, r21336);
        double r21339 = r21337 + r21338;
        double r21340 = sqrt(r21339);
        double r21341 = r21333 / r21340;
        double r21342 = th;
        double r21343 = sin(r21342);
        double r21344 = r21341 * r21343;
        return r21344;
}


double f_of(float kx, float ky, float th) {
        float r21345 = th;
        float r21346 = sin(r21345);
        float r21347 = ky;
        float r21348 = sin(r21347);
        float r21349 = r21348 * r21348;
        float r21350 = kx;
        float r21351 = sin(r21350);
        float r21352 = r21351 * r21351;
        float r21353 = r21349 + r21352;
        float r21354 = sqrt(r21353);
        float r21355 = r21354 / r21348;
        float r21356 = r21346 / r21355;
        return r21356;
}

double f_od(double kx, double ky, double th) {
        double r21357 = th;
        double r21358 = sin(r21357);
        double r21359 = ky;
        double r21360 = sin(r21359);
        double r21361 = r21360 * r21360;
        double r21362 = kx;
        double r21363 = sin(r21362);
        double r21364 = r21363 * r21363;
        double r21365 = r21361 + r21364;
        double r21366 = sqrt(r21365);
        double r21367 = r21366 / r21360;
        double r21368 = r21358 / r21367;
        return r21368;
}

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 r21369, r21370, r21371, r21372, r21373, r21374, r21375, r21376, r21377, r21378, r21379, r21380, r21381;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21369);
        mpfr_init(r21370);
        mpfr_init(r21371);
        mpfr_init(r21372);
        mpfr_init_set_str(r21373, "2", 10, MPFR_RNDN);
        mpfr_init(r21374);
        mpfr_init(r21375);
        mpfr_init(r21376);
        mpfr_init(r21377);
        mpfr_init(r21378);
        mpfr_init(r21379);
        mpfr_init(r21380);
        mpfr_init(r21381);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21369, ky, MPFR_RNDN);
        mpfr_sin(r21370, r21369, MPFR_RNDN);
        mpfr_set_d(r21371, kx, MPFR_RNDN);
        mpfr_sin(r21372, r21371, MPFR_RNDN);
        ;
        mpfr_pow(r21374, r21372, r21373, MPFR_RNDN);
        mpfr_pow(r21375, r21370, r21373, MPFR_RNDN);
        mpfr_add(r21376, r21374, r21375, MPFR_RNDN);
        mpfr_sqrt(r21377, r21376, MPFR_RNDN);
        mpfr_div(r21378, r21370, r21377, MPFR_RNDN);
        mpfr_set_d(r21379, th, MPFR_RNDN);
        mpfr_sin(r21380, r21379, MPFR_RNDN);
        mpfr_mul(r21381, r21378, r21380, MPFR_RNDN);
        return mpfr_get_d(r21381, MPFR_RNDN);
}

static mpfr_t r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391, r21392, r21393;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21382, th, MPFR_RNDN);
        mpfr_sin(r21383, r21382, MPFR_RNDN);
        mpfr_set_d(r21384, ky, MPFR_RNDN);
        mpfr_sin(r21385, r21384, MPFR_RNDN);
        mpfr_mul(r21386, r21385, r21385, MPFR_RNDN);
        mpfr_set_d(r21387, kx, MPFR_RNDN);
        mpfr_sin(r21388, r21387, MPFR_RNDN);
        mpfr_mul(r21389, r21388, r21388, MPFR_RNDN);
        mpfr_add(r21390, r21386, r21389, MPFR_RNDN);
        mpfr_sqrt(r21391, r21390, MPFR_RNDN);
        mpfr_div(r21392, r21391, r21385, MPFR_RNDN);
        mpfr_div(r21393, r21383, r21392, MPFR_RNDN);
        return mpfr_get_d(r21393, MPFR_RNDN);
}

static mpfr_t r21394, r21395, r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404, r21405;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21394);
        mpfr_init(r21395);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init(r21400);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21394, th, MPFR_RNDN);
        mpfr_sin(r21395, r21394, MPFR_RNDN);
        mpfr_set_d(r21396, ky, MPFR_RNDN);
        mpfr_sin(r21397, r21396, MPFR_RNDN);
        mpfr_mul(r21398, r21397, r21397, MPFR_RNDN);
        mpfr_set_d(r21399, kx, MPFR_RNDN);
        mpfr_sin(r21400, r21399, MPFR_RNDN);
        mpfr_mul(r21401, r21400, r21400, MPFR_RNDN);
        mpfr_add(r21402, r21398, r21401, MPFR_RNDN);
        mpfr_sqrt(r21403, r21402, MPFR_RNDN);
        mpfr_div(r21404, r21403, r21397, MPFR_RNDN);
        mpfr_div(r21405, r21395, r21404, MPFR_RNDN);
        return mpfr_get_d(r21405, MPFR_RNDN);
}