#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 r21338 = ky;
        float r21339 = sin(r21338);
        float r21340 = kx;
        float r21341 = sin(r21340);
        float r21342 = 2;
        float r21343 = pow(r21341, r21342);
        float r21344 = pow(r21339, r21342);
        float r21345 = r21343 + r21344;
        float r21346 = sqrt(r21345);
        float r21347 = r21339 / r21346;
        float r21348 = th;
        float r21349 = sin(r21348);
        float r21350 = r21347 * r21349;
        return r21350;
}

double f_id(double kx, double ky, double th) {
        double r21351 = ky;
        double r21352 = sin(r21351);
        double r21353 = kx;
        double r21354 = sin(r21353);
        double r21355 = 2;
        double r21356 = pow(r21354, r21355);
        double r21357 = pow(r21352, r21355);
        double r21358 = r21356 + r21357;
        double r21359 = sqrt(r21358);
        double r21360 = r21352 / r21359;
        double r21361 = th;
        double r21362 = sin(r21361);
        double r21363 = r21360 * r21362;
        return r21363;
}


double f_of(float kx, float ky, float th) {
        float r21364 = th;
        float r21365 = sin(r21364);
        float r21366 = ky;
        float r21367 = sin(r21366);
        float r21368 = kx;
        float r21369 = sin(r21368);
        float r21370 = hypot(r21367, r21369);
        float r21371 = r21370 / r21367;
        float r21372 = r21365 / r21371;
        return r21372;
}

double f_od(double kx, double ky, double th) {
        double r21373 = th;
        double r21374 = sin(r21373);
        double r21375 = ky;
        double r21376 = sin(r21375);
        double r21377 = kx;
        double r21378 = sin(r21377);
        double r21379 = hypot(r21376, r21378);
        double r21380 = r21379 / r21376;
        double r21381 = r21374 / r21380;
        return r21381;
}

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 r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391, r21392, r21393, r21394;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init_set_str(r21386, "2", 10, MPFR_RNDN);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21382, ky, MPFR_RNDN);
        mpfr_sin(r21383, r21382, MPFR_RNDN);
        mpfr_set_d(r21384, kx, MPFR_RNDN);
        mpfr_sin(r21385, r21384, MPFR_RNDN);
        ;
        mpfr_pow(r21387, r21385, r21386, MPFR_RNDN);
        mpfr_pow(r21388, r21383, r21386, MPFR_RNDN);
        mpfr_add(r21389, r21387, r21388, MPFR_RNDN);
        mpfr_sqrt(r21390, r21389, MPFR_RNDN);
        mpfr_div(r21391, r21383, r21390, MPFR_RNDN);
        mpfr_set_d(r21392, th, MPFR_RNDN);
        mpfr_sin(r21393, r21392, MPFR_RNDN);
        mpfr_mul(r21394, r21391, r21393, MPFR_RNDN);
        return mpfr_get_d(r21394, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        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);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21395, th, MPFR_RNDN);
        mpfr_sin(r21396, r21395, MPFR_RNDN);
        mpfr_set_d(r21397, ky, MPFR_RNDN);
        mpfr_sin(r21398, r21397, MPFR_RNDN);
        mpfr_set_d(r21399, kx, MPFR_RNDN);
        mpfr_sin(r21400, r21399, MPFR_RNDN);
        mpfr_hypot(r21401, r21398, r21400, MPFR_RNDN);
        mpfr_div(r21402, r21401, r21398, MPFR_RNDN);
        mpfr_div(r21403, r21396, r21402, MPFR_RNDN);
        return mpfr_get_d(r21403, MPFR_RNDN);
}

static mpfr_t r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21404, th, MPFR_RNDN);
        mpfr_sin(r21405, r21404, MPFR_RNDN);
        mpfr_set_d(r21406, ky, MPFR_RNDN);
        mpfr_sin(r21407, r21406, MPFR_RNDN);
        mpfr_set_d(r21408, kx, MPFR_RNDN);
        mpfr_sin(r21409, r21408, MPFR_RNDN);
        mpfr_hypot(r21410, r21407, r21409, MPFR_RNDN);
        mpfr_div(r21411, r21410, r21407, MPFR_RNDN);
        mpfr_div(r21412, r21405, r21411, MPFR_RNDN);
        return mpfr_get_d(r21412, MPFR_RNDN);
}