#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 r21318 = ky;
        float r21319 = sin(r21318);
        float r21320 = kx;
        float r21321 = sin(r21320);
        float r21322 = 2;
        float r21323 = pow(r21321, r21322);
        float r21324 = pow(r21319, r21322);
        float r21325 = r21323 + r21324;
        float r21326 = sqrt(r21325);
        float r21327 = r21319 / r21326;
        float r21328 = th;
        float r21329 = sin(r21328);
        float r21330 = r21327 * r21329;
        return r21330;
}

double f_id(double kx, double ky, double th) {
        double r21331 = ky;
        double r21332 = sin(r21331);
        double r21333 = kx;
        double r21334 = sin(r21333);
        double r21335 = 2;
        double r21336 = pow(r21334, r21335);
        double r21337 = pow(r21332, r21335);
        double r21338 = r21336 + r21337;
        double r21339 = sqrt(r21338);
        double r21340 = r21332 / r21339;
        double r21341 = th;
        double r21342 = sin(r21341);
        double r21343 = r21340 * r21342;
        return r21343;
}


double f_of(float kx, float ky, float th) {
        float r21344 = ky;
        float r21345 = sin(r21344);
        float r21346 = kx;
        float r21347 = sin(r21346);
        float r21348 = cbrt(r21347);
        float r21349 = r21347 * r21348;
        float r21350 = 2;
        float r21351 = pow(r21348, r21350);
        float r21352 = r21349 * r21351;
        float r21353 = pow(r21345, r21350);
        float r21354 = r21352 + r21353;
        float r21355 = sqrt(r21354);
        float r21356 = r21345 / r21355;
        float r21357 = th;
        float r21358 = sin(r21357);
        float r21359 = r21356 * r21358;
        return r21359;
}

double f_od(double kx, double ky, double th) {
        double r21360 = ky;
        double r21361 = sin(r21360);
        double r21362 = kx;
        double r21363 = sin(r21362);
        double r21364 = cbrt(r21363);
        double r21365 = r21363 * r21364;
        double r21366 = 2;
        double r21367 = pow(r21364, r21366);
        double r21368 = r21365 * r21367;
        double r21369 = pow(r21361, r21366);
        double r21370 = r21368 + r21369;
        double r21371 = sqrt(r21370);
        double r21372 = r21361 / r21371;
        double r21373 = th;
        double r21374 = sin(r21373);
        double r21375 = r21372 * r21374;
        return r21375;
}

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 r21376, r21377, r21378, r21379, r21380, r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21376);
        mpfr_init(r21377);
        mpfr_init(r21378);
        mpfr_init(r21379);
        mpfr_init_set_str(r21380, "2", 10, MPFR_RNDN);
        mpfr_init(r21381);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21376, ky, MPFR_RNDN);
        mpfr_sin(r21377, r21376, MPFR_RNDN);
        mpfr_set_d(r21378, kx, MPFR_RNDN);
        mpfr_sin(r21379, r21378, MPFR_RNDN);
        ;
        mpfr_pow(r21381, r21379, r21380, MPFR_RNDN);
        mpfr_pow(r21382, r21377, r21380, MPFR_RNDN);
        mpfr_add(r21383, r21381, r21382, MPFR_RNDN);
        mpfr_sqrt(r21384, r21383, MPFR_RNDN);
        mpfr_div(r21385, r21377, r21384, MPFR_RNDN);
        mpfr_set_d(r21386, th, MPFR_RNDN);
        mpfr_sin(r21387, r21386, MPFR_RNDN);
        mpfr_mul(r21388, r21385, r21387, MPFR_RNDN);
        return mpfr_get_d(r21388, MPFR_RNDN);
}

static mpfr_t r21389, r21390, r21391, r21392, r21393, r21394, r21395, r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init_set_str(r21395, "2", 10, MPFR_RNDN);
        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);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21389, ky, MPFR_RNDN);
        mpfr_sin(r21390, r21389, MPFR_RNDN);
        mpfr_set_d(r21391, kx, MPFR_RNDN);
        mpfr_sin(r21392, r21391, MPFR_RNDN);
        mpfr_cbrt(r21393, r21392, MPFR_RNDN);
        mpfr_mul(r21394, r21392, r21393, MPFR_RNDN);
        ;
        mpfr_pow(r21396, r21393, r21395, MPFR_RNDN);
        mpfr_mul(r21397, r21394, r21396, MPFR_RNDN);
        mpfr_pow(r21398, r21390, r21395, MPFR_RNDN);
        mpfr_add(r21399, r21397, r21398, MPFR_RNDN);
        mpfr_sqrt(r21400, r21399, MPFR_RNDN);
        mpfr_div(r21401, r21390, r21400, MPFR_RNDN);
        mpfr_set_d(r21402, th, MPFR_RNDN);
        mpfr_sin(r21403, r21402, MPFR_RNDN);
        mpfr_mul(r21404, r21401, r21403, MPFR_RNDN);
        return mpfr_get_d(r21404, MPFR_RNDN);
}

static mpfr_t r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init_set_str(r21411, "2", 10, MPFR_RNDN);
        mpfr_init(r21412);
        mpfr_init(r21413);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init(r21418);
        mpfr_init(r21419);
        mpfr_init(r21420);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21405, ky, MPFR_RNDN);
        mpfr_sin(r21406, r21405, MPFR_RNDN);
        mpfr_set_d(r21407, kx, MPFR_RNDN);
        mpfr_sin(r21408, r21407, MPFR_RNDN);
        mpfr_cbrt(r21409, r21408, MPFR_RNDN);
        mpfr_mul(r21410, r21408, r21409, MPFR_RNDN);
        ;
        mpfr_pow(r21412, r21409, r21411, MPFR_RNDN);
        mpfr_mul(r21413, r21410, r21412, MPFR_RNDN);
        mpfr_pow(r21414, r21406, r21411, MPFR_RNDN);
        mpfr_add(r21415, r21413, r21414, MPFR_RNDN);
        mpfr_sqrt(r21416, r21415, MPFR_RNDN);
        mpfr_div(r21417, r21406, r21416, MPFR_RNDN);
        mpfr_set_d(r21418, th, MPFR_RNDN);
        mpfr_sin(r21419, r21418, MPFR_RNDN);
        mpfr_mul(r21420, r21417, r21419, MPFR_RNDN);
        return mpfr_get_d(r21420, MPFR_RNDN);
}

