#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 r21174 = ky;
        float r21175 = sin(r21174);
        float r21176 = kx;
        float r21177 = sin(r21176);
        float r21178 = 2;
        float r21179 = pow(r21177, r21178);
        float r21180 = pow(r21175, r21178);
        float r21181 = r21179 + r21180;
        float r21182 = sqrt(r21181);
        float r21183 = r21175 / r21182;
        float r21184 = th;
        float r21185 = sin(r21184);
        float r21186 = r21183 * r21185;
        return r21186;
}

double f_id(double kx, double ky, double th) {
        double r21187 = ky;
        double r21188 = sin(r21187);
        double r21189 = kx;
        double r21190 = sin(r21189);
        double r21191 = 2;
        double r21192 = pow(r21190, r21191);
        double r21193 = pow(r21188, r21191);
        double r21194 = r21192 + r21193;
        double r21195 = sqrt(r21194);
        double r21196 = r21188 / r21195;
        double r21197 = th;
        double r21198 = sin(r21197);
        double r21199 = r21196 * r21198;
        return r21199;
}


double f_of(float kx, float ky, float th) {
        float r21200 = ky;
        float r21201 = sin(r21200);
        float r21202 = kx;
        float r21203 = sin(r21202);
        float r21204 = 2;
        float r21205 = pow(r21203, r21204);
        float r21206 = cbrt(r21205);
        float r21207 = r21206 * r21206;
        float r21208 = r21207 * r21206;
        float r21209 = pow(r21201, r21204);
        float r21210 = r21208 + r21209;
        float r21211 = sqrt(r21210);
        float r21212 = r21201 / r21211;
        float r21213 = th;
        float r21214 = sin(r21213);
        float r21215 = r21212 * r21214;
        return r21215;
}

double f_od(double kx, double ky, double th) {
        double r21216 = ky;
        double r21217 = sin(r21216);
        double r21218 = kx;
        double r21219 = sin(r21218);
        double r21220 = 2;
        double r21221 = pow(r21219, r21220);
        double r21222 = cbrt(r21221);
        double r21223 = r21222 * r21222;
        double r21224 = r21223 * r21222;
        double r21225 = pow(r21217, r21220);
        double r21226 = r21224 + r21225;
        double r21227 = sqrt(r21226);
        double r21228 = r21217 / r21227;
        double r21229 = th;
        double r21230 = sin(r21229);
        double r21231 = r21228 * r21230;
        return r21231;
}

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 r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init(r21234);
        mpfr_init(r21235);
        mpfr_init_set_str(r21236, "2", 10, MPFR_RNDN);
        mpfr_init(r21237);
        mpfr_init(r21238);
        mpfr_init(r21239);
        mpfr_init(r21240);
        mpfr_init(r21241);
        mpfr_init(r21242);
        mpfr_init(r21243);
        mpfr_init(r21244);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21232, ky, MPFR_RNDN);
        mpfr_sin(r21233, r21232, MPFR_RNDN);
        mpfr_set_d(r21234, kx, MPFR_RNDN);
        mpfr_sin(r21235, r21234, MPFR_RNDN);
        ;
        mpfr_pow(r21237, r21235, r21236, MPFR_RNDN);
        mpfr_pow(r21238, r21233, r21236, MPFR_RNDN);
        mpfr_add(r21239, r21237, r21238, MPFR_RNDN);
        mpfr_sqrt(r21240, r21239, MPFR_RNDN);
        mpfr_div(r21241, r21233, r21240, MPFR_RNDN);
        mpfr_set_d(r21242, th, MPFR_RNDN);
        mpfr_sin(r21243, r21242, MPFR_RNDN);
        mpfr_mul(r21244, r21241, r21243, MPFR_RNDN);
        return mpfr_get_d(r21244, MPFR_RNDN);
}

static mpfr_t r21245, r21246, r21247, r21248, r21249, r21250, r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258, r21259, r21260;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21245);
        mpfr_init(r21246);
        mpfr_init(r21247);
        mpfr_init(r21248);
        mpfr_init_set_str(r21249, "2", 10, MPFR_RNDN);
        mpfr_init(r21250);
        mpfr_init(r21251);
        mpfr_init(r21252);
        mpfr_init(r21253);
        mpfr_init(r21254);
        mpfr_init(r21255);
        mpfr_init(r21256);
        mpfr_init(r21257);
        mpfr_init(r21258);
        mpfr_init(r21259);
        mpfr_init(r21260);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21245, ky, MPFR_RNDN);
        mpfr_sin(r21246, r21245, MPFR_RNDN);
        mpfr_set_d(r21247, kx, MPFR_RNDN);
        mpfr_sin(r21248, r21247, MPFR_RNDN);
        ;
        mpfr_pow(r21250, r21248, r21249, MPFR_RNDN);
        mpfr_cbrt(r21251, r21250, MPFR_RNDN);
        mpfr_mul(r21252, r21251, r21251, MPFR_RNDN);
        mpfr_mul(r21253, r21252, r21251, MPFR_RNDN);
        mpfr_pow(r21254, r21246, r21249, MPFR_RNDN);
        mpfr_add(r21255, r21253, r21254, MPFR_RNDN);
        mpfr_sqrt(r21256, r21255, MPFR_RNDN);
        mpfr_div(r21257, r21246, r21256, MPFR_RNDN);
        mpfr_set_d(r21258, th, MPFR_RNDN);
        mpfr_sin(r21259, r21258, MPFR_RNDN);
        mpfr_mul(r21260, r21257, r21259, MPFR_RNDN);
        return mpfr_get_d(r21260, MPFR_RNDN);
}

static mpfr_t r21261, r21262, r21263, r21264, r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272, r21273, r21274, r21275, r21276;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21261);
        mpfr_init(r21262);
        mpfr_init(r21263);
        mpfr_init(r21264);
        mpfr_init_set_str(r21265, "2", 10, MPFR_RNDN);
        mpfr_init(r21266);
        mpfr_init(r21267);
        mpfr_init(r21268);
        mpfr_init(r21269);
        mpfr_init(r21270);
        mpfr_init(r21271);
        mpfr_init(r21272);
        mpfr_init(r21273);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init(r21276);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21261, ky, MPFR_RNDN);
        mpfr_sin(r21262, r21261, MPFR_RNDN);
        mpfr_set_d(r21263, kx, MPFR_RNDN);
        mpfr_sin(r21264, r21263, MPFR_RNDN);
        ;
        mpfr_pow(r21266, r21264, r21265, MPFR_RNDN);
        mpfr_cbrt(r21267, r21266, MPFR_RNDN);
        mpfr_mul(r21268, r21267, r21267, MPFR_RNDN);
        mpfr_mul(r21269, r21268, r21267, MPFR_RNDN);
        mpfr_pow(r21270, r21262, r21265, MPFR_RNDN);
        mpfr_add(r21271, r21269, r21270, MPFR_RNDN);
        mpfr_sqrt(r21272, r21271, MPFR_RNDN);
        mpfr_div(r21273, r21262, r21272, MPFR_RNDN);
        mpfr_set_d(r21274, th, MPFR_RNDN);
        mpfr_sin(r21275, r21274, MPFR_RNDN);
        mpfr_mul(r21276, r21273, r21275, MPFR_RNDN);
        return mpfr_get_d(r21276, MPFR_RNDN);
}

