#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 r21147 = ky;
        float r21148 = sin(r21147);
        float r21149 = kx;
        float r21150 = sin(r21149);
        float r21151 = 2;
        float r21152 = pow(r21150, r21151);
        float r21153 = pow(r21148, r21151);
        float r21154 = r21152 + r21153;
        float r21155 = sqrt(r21154);
        float r21156 = r21148 / r21155;
        float r21157 = th;
        float r21158 = sin(r21157);
        float r21159 = r21156 * r21158;
        return r21159;
}

double f_id(double kx, double ky, double th) {
        double r21160 = ky;
        double r21161 = sin(r21160);
        double r21162 = kx;
        double r21163 = sin(r21162);
        double r21164 = 2;
        double r21165 = pow(r21163, r21164);
        double r21166 = pow(r21161, r21164);
        double r21167 = r21165 + r21166;
        double r21168 = sqrt(r21167);
        double r21169 = r21161 / r21168;
        double r21170 = th;
        double r21171 = sin(r21170);
        double r21172 = r21169 * r21171;
        return r21172;
}


double f_of(float kx, float ky, float th) {
        float r21173 = th;
        float r21174 = sin(r21173);
        float r21175 = 1;
        float r21176 = r21174 / r21175;
        float r21177 = ky;
        float r21178 = sin(r21177);
        float r21179 = kx;
        float r21180 = sin(r21179);
        float r21181 = hypot(r21178, r21180);
        float r21182 = r21178 / r21181;
        float r21183 = r21176 * r21182;
        return r21183;
}

double f_od(double kx, double ky, double th) {
        double r21184 = th;
        double r21185 = sin(r21184);
        double r21186 = 1;
        double r21187 = r21185 / r21186;
        double r21188 = ky;
        double r21189 = sin(r21188);
        double r21190 = kx;
        double r21191 = sin(r21190);
        double r21192 = hypot(r21189, r21191);
        double r21193 = r21189 / r21192;
        double r21194 = r21187 * r21193;
        return r21194;
}

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 r21195, r21196, r21197, r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205, r21206, r21207;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21195);
        mpfr_init(r21196);
        mpfr_init(r21197);
        mpfr_init(r21198);
        mpfr_init_set_str(r21199, "2", 10, MPFR_RNDN);
        mpfr_init(r21200);
        mpfr_init(r21201);
        mpfr_init(r21202);
        mpfr_init(r21203);
        mpfr_init(r21204);
        mpfr_init(r21205);
        mpfr_init(r21206);
        mpfr_init(r21207);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21195, ky, MPFR_RNDN);
        mpfr_sin(r21196, r21195, MPFR_RNDN);
        mpfr_set_d(r21197, kx, MPFR_RNDN);
        mpfr_sin(r21198, r21197, MPFR_RNDN);
        ;
        mpfr_pow(r21200, r21198, r21199, MPFR_RNDN);
        mpfr_pow(r21201, r21196, r21199, MPFR_RNDN);
        mpfr_add(r21202, r21200, r21201, MPFR_RNDN);
        mpfr_sqrt(r21203, r21202, MPFR_RNDN);
        mpfr_div(r21204, r21196, r21203, MPFR_RNDN);
        mpfr_set_d(r21205, th, MPFR_RNDN);
        mpfr_sin(r21206, r21205, MPFR_RNDN);
        mpfr_mul(r21207, r21204, r21206, MPFR_RNDN);
        return mpfr_get_d(r21207, MPFR_RNDN);
}

static mpfr_t r21208, r21209, r21210, r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21208);
        mpfr_init(r21209);
        mpfr_init_set_str(r21210, "1", 10, MPFR_RNDN);
        mpfr_init(r21211);
        mpfr_init(r21212);
        mpfr_init(r21213);
        mpfr_init(r21214);
        mpfr_init(r21215);
        mpfr_init(r21216);
        mpfr_init(r21217);
        mpfr_init(r21218);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21208, th, MPFR_RNDN);
        mpfr_sin(r21209, r21208, MPFR_RNDN);
        ;
        mpfr_div(r21211, r21209, r21210, MPFR_RNDN);
        mpfr_set_d(r21212, ky, MPFR_RNDN);
        mpfr_sin(r21213, r21212, MPFR_RNDN);
        mpfr_set_d(r21214, kx, MPFR_RNDN);
        mpfr_sin(r21215, r21214, MPFR_RNDN);
        mpfr_hypot(r21216, r21213, r21215, MPFR_RNDN);
        mpfr_div(r21217, r21213, r21216, MPFR_RNDN);
        mpfr_mul(r21218, r21211, r21217, MPFR_RNDN);
        return mpfr_get_d(r21218, MPFR_RNDN);
}

static mpfr_t r21219, r21220, r21221, r21222, r21223, r21224, r21225, r21226, r21227, r21228, r21229;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21219);
        mpfr_init(r21220);
        mpfr_init_set_str(r21221, "1", 10, MPFR_RNDN);
        mpfr_init(r21222);
        mpfr_init(r21223);
        mpfr_init(r21224);
        mpfr_init(r21225);
        mpfr_init(r21226);
        mpfr_init(r21227);
        mpfr_init(r21228);
        mpfr_init(r21229);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21219, th, MPFR_RNDN);
        mpfr_sin(r21220, r21219, MPFR_RNDN);
        ;
        mpfr_div(r21222, r21220, r21221, MPFR_RNDN);
        mpfr_set_d(r21223, ky, MPFR_RNDN);
        mpfr_sin(r21224, r21223, MPFR_RNDN);
        mpfr_set_d(r21225, kx, MPFR_RNDN);
        mpfr_sin(r21226, r21225, MPFR_RNDN);
        mpfr_hypot(r21227, r21224, r21226, MPFR_RNDN);
        mpfr_div(r21228, r21224, r21227, MPFR_RNDN);
        mpfr_mul(r21229, r21222, r21228, MPFR_RNDN);
        return mpfr_get_d(r21229, MPFR_RNDN);
}