#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 r21396 = ky;
        float r21397 = sin(r21396);
        float r21398 = kx;
        float r21399 = sin(r21398);
        float r21400 = 2;
        float r21401 = pow(r21399, r21400);
        float r21402 = pow(r21397, r21400);
        float r21403 = r21401 + r21402;
        float r21404 = sqrt(r21403);
        float r21405 = r21397 / r21404;
        float r21406 = th;
        float r21407 = sin(r21406);
        float r21408 = r21405 * r21407;
        return r21408;
}

double f_id(double kx, double ky, double th) {
        double r21409 = ky;
        double r21410 = sin(r21409);
        double r21411 = kx;
        double r21412 = sin(r21411);
        double r21413 = 2;
        double r21414 = pow(r21412, r21413);
        double r21415 = pow(r21410, r21413);
        double r21416 = r21414 + r21415;
        double r21417 = sqrt(r21416);
        double r21418 = r21410 / r21417;
        double r21419 = th;
        double r21420 = sin(r21419);
        double r21421 = r21418 * r21420;
        return r21421;
}


double f_of(float kx, float ky, float th) {
        float r21422 = th;
        float r21423 = sin(r21422);
        float r21424 = ky;
        float r21425 = sin(r21424);
        float r21426 = kx;
        float r21427 = sin(r21426);
        float r21428 = hypot(r21425, r21427);
        float r21429 = r21428 / r21425;
        float r21430 = r21423 / r21429;
        return r21430;
}

double f_od(double kx, double ky, double th) {
        double r21431 = th;
        double r21432 = sin(r21431);
        double r21433 = ky;
        double r21434 = sin(r21433);
        double r21435 = kx;
        double r21436 = sin(r21435);
        double r21437 = hypot(r21434, r21436);
        double r21438 = r21437 / r21434;
        double r21439 = r21432 / r21438;
        return r21439;
}

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 r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
        mpfr_init_set_str(r21444, "2", 10, MPFR_RNDN);
        mpfr_init(r21445);
        mpfr_init(r21446);
        mpfr_init(r21447);
        mpfr_init(r21448);
        mpfr_init(r21449);
        mpfr_init(r21450);
        mpfr_init(r21451);
        mpfr_init(r21452);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21440, ky, MPFR_RNDN);
        mpfr_sin(r21441, r21440, MPFR_RNDN);
        mpfr_set_d(r21442, kx, MPFR_RNDN);
        mpfr_sin(r21443, r21442, MPFR_RNDN);
        ;
        mpfr_pow(r21445, r21443, r21444, MPFR_RNDN);
        mpfr_pow(r21446, r21441, r21444, MPFR_RNDN);
        mpfr_add(r21447, r21445, r21446, MPFR_RNDN);
        mpfr_sqrt(r21448, r21447, MPFR_RNDN);
        mpfr_div(r21449, r21441, r21448, MPFR_RNDN);
        mpfr_set_d(r21450, th, MPFR_RNDN);
        mpfr_sin(r21451, r21450, MPFR_RNDN);
        mpfr_mul(r21452, r21449, r21451, MPFR_RNDN);
        return mpfr_get_d(r21452, MPFR_RNDN);
}

static mpfr_t r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21453);
        mpfr_init(r21454);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init(r21458);
        mpfr_init(r21459);
        mpfr_init(r21460);
        mpfr_init(r21461);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21453, th, MPFR_RNDN);
        mpfr_sin(r21454, r21453, MPFR_RNDN);
        mpfr_set_d(r21455, ky, MPFR_RNDN);
        mpfr_sin(r21456, r21455, MPFR_RNDN);
        mpfr_set_d(r21457, kx, MPFR_RNDN);
        mpfr_sin(r21458, r21457, MPFR_RNDN);
        mpfr_hypot(r21459, r21456, r21458, MPFR_RNDN);
        mpfr_div(r21460, r21459, r21456, MPFR_RNDN);
        mpfr_div(r21461, r21454, r21460, MPFR_RNDN);
        return mpfr_get_d(r21461, MPFR_RNDN);
}

static mpfr_t r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21462);
        mpfr_init(r21463);
        mpfr_init(r21464);
        mpfr_init(r21465);
        mpfr_init(r21466);
        mpfr_init(r21467);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21462, th, MPFR_RNDN);
        mpfr_sin(r21463, r21462, MPFR_RNDN);
        mpfr_set_d(r21464, ky, MPFR_RNDN);
        mpfr_sin(r21465, r21464, MPFR_RNDN);
        mpfr_set_d(r21466, kx, MPFR_RNDN);
        mpfr_sin(r21467, r21466, MPFR_RNDN);
        mpfr_hypot(r21468, r21465, r21467, MPFR_RNDN);
        mpfr_div(r21469, r21468, r21465, MPFR_RNDN);
        mpfr_div(r21470, r21463, r21469, MPFR_RNDN);
        return mpfr_get_d(r21470, MPFR_RNDN);
}