#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 r21259 = ky;
        float r21260 = sin(r21259);
        float r21261 = kx;
        float r21262 = sin(r21261);
        float r21263 = 2;
        float r21264 = pow(r21262, r21263);
        float r21265 = pow(r21260, r21263);
        float r21266 = r21264 + r21265;
        float r21267 = sqrt(r21266);
        float r21268 = r21260 / r21267;
        float r21269 = th;
        float r21270 = sin(r21269);
        float r21271 = r21268 * r21270;
        return r21271;
}

double f_id(double kx, double ky, double th) {
        double r21272 = ky;
        double r21273 = sin(r21272);
        double r21274 = kx;
        double r21275 = sin(r21274);
        double r21276 = 2;
        double r21277 = pow(r21275, r21276);
        double r21278 = pow(r21273, r21276);
        double r21279 = r21277 + r21278;
        double r21280 = sqrt(r21279);
        double r21281 = r21273 / r21280;
        double r21282 = th;
        double r21283 = sin(r21282);
        double r21284 = r21281 * r21283;
        return r21284;
}


double f_of(float kx, float ky, float th) {
        float r21285 = ky;
        float r21286 = sin(r21285);
        float r21287 = kx;
        float r21288 = sin(r21287);
        float r21289 = 2;
        float r21290 = pow(r21288, r21289);
        float r21291 = pow(r21286, r21289);
        float r21292 = r21290 + r21291;
        float r21293 = sqrt(r21292);
        float r21294 = r21286 / r21293;
        float r21295 = th;
        float r21296 = sin(r21295);
        float r21297 = r21294 * r21296;
        return r21297;
}

double f_od(double kx, double ky, double th) {
        double r21298 = ky;
        double r21299 = sin(r21298);
        double r21300 = kx;
        double r21301 = sin(r21300);
        double r21302 = 2;
        double r21303 = pow(r21301, r21302);
        double r21304 = pow(r21299, r21302);
        double r21305 = r21303 + r21304;
        double r21306 = sqrt(r21305);
        double r21307 = r21299 / r21306;
        double r21308 = th;
        double r21309 = sin(r21308);
        double r21310 = r21307 * r21309;
        return r21310;
}

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 r21311, r21312, r21313, r21314, r21315, r21316, r21317, r21318, r21319, r21320, r21321, r21322, r21323;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21311);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init_set_str(r21315, "2", 10, MPFR_RNDN);
        mpfr_init(r21316);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
        mpfr_init(r21321);
        mpfr_init(r21322);
        mpfr_init(r21323);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21311, ky, MPFR_RNDN);
        mpfr_sin(r21312, r21311, MPFR_RNDN);
        mpfr_set_d(r21313, kx, MPFR_RNDN);
        mpfr_sin(r21314, r21313, MPFR_RNDN);
        ;
        mpfr_pow(r21316, r21314, r21315, MPFR_RNDN);
        mpfr_pow(r21317, r21312, r21315, MPFR_RNDN);
        mpfr_add(r21318, r21316, r21317, MPFR_RNDN);
        mpfr_sqrt(r21319, r21318, MPFR_RNDN);
        mpfr_div(r21320, r21312, r21319, MPFR_RNDN);
        mpfr_set_d(r21321, th, MPFR_RNDN);
        mpfr_sin(r21322, r21321, MPFR_RNDN);
        mpfr_mul(r21323, r21320, r21322, MPFR_RNDN);
        return mpfr_get_d(r21323, MPFR_RNDN);
}

static mpfr_t r21324, r21325, r21326, r21327, r21328, r21329, r21330, r21331, r21332, r21333, r21334, r21335, r21336;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21324);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init(r21327);
        mpfr_init_set_str(r21328, "2", 10, MPFR_RNDN);
        mpfr_init(r21329);
        mpfr_init(r21330);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init(r21334);
        mpfr_init(r21335);
        mpfr_init(r21336);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21324, ky, MPFR_RNDN);
        mpfr_sin(r21325, r21324, MPFR_RNDN);
        mpfr_set_d(r21326, kx, MPFR_RNDN);
        mpfr_sin(r21327, r21326, MPFR_RNDN);
        ;
        mpfr_pow(r21329, r21327, r21328, MPFR_RNDN);
        mpfr_pow(r21330, r21325, r21328, MPFR_RNDN);
        mpfr_add(r21331, r21329, r21330, MPFR_RNDN);
        mpfr_sqrt(r21332, r21331, MPFR_RNDN);
        mpfr_div(r21333, r21325, r21332, MPFR_RNDN);
        mpfr_set_d(r21334, th, MPFR_RNDN);
        mpfr_sin(r21335, r21334, MPFR_RNDN);
        mpfr_mul(r21336, r21333, r21335, MPFR_RNDN);
        return mpfr_get_d(r21336, MPFR_RNDN);
}

static mpfr_t r21337, r21338, r21339, r21340, r21341, r21342, r21343, r21344, r21345, r21346, r21347, r21348, r21349;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21337);
        mpfr_init(r21338);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init_set_str(r21341, "2", 10, MPFR_RNDN);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
        mpfr_init(r21348);
        mpfr_init(r21349);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21337, ky, MPFR_RNDN);
        mpfr_sin(r21338, r21337, MPFR_RNDN);
        mpfr_set_d(r21339, kx, MPFR_RNDN);
        mpfr_sin(r21340, r21339, MPFR_RNDN);
        ;
        mpfr_pow(r21342, r21340, r21341, MPFR_RNDN);
        mpfr_pow(r21343, r21338, r21341, MPFR_RNDN);
        mpfr_add(r21344, r21342, r21343, MPFR_RNDN);
        mpfr_sqrt(r21345, r21344, MPFR_RNDN);
        mpfr_div(r21346, r21338, r21345, MPFR_RNDN);
        mpfr_set_d(r21347, th, MPFR_RNDN);
        mpfr_sin(r21348, r21347, MPFR_RNDN);
        mpfr_mul(r21349, r21346, r21348, MPFR_RNDN);
        return mpfr_get_d(r21349, MPFR_RNDN);
}