#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 r21107 = ky;
        float r21108 = sin(r21107);
        float r21109 = kx;
        float r21110 = sin(r21109);
        float r21111 = 2;
        float r21112 = pow(r21110, r21111);
        float r21113 = pow(r21108, r21111);
        float r21114 = r21112 + r21113;
        float r21115 = sqrt(r21114);
        float r21116 = r21108 / r21115;
        float r21117 = th;
        float r21118 = sin(r21117);
        float r21119 = r21116 * r21118;
        return r21119;
}

double f_id(double kx, double ky, double th) {
        double r21120 = ky;
        double r21121 = sin(r21120);
        double r21122 = kx;
        double r21123 = sin(r21122);
        double r21124 = 2;
        double r21125 = pow(r21123, r21124);
        double r21126 = pow(r21121, r21124);
        double r21127 = r21125 + r21126;
        double r21128 = sqrt(r21127);
        double r21129 = r21121 / r21128;
        double r21130 = th;
        double r21131 = sin(r21130);
        double r21132 = r21129 * r21131;
        return r21132;
}


double f_of(float kx, float ky, float th) {
        float r21133 = 1;
        float r21134 = kx;
        float r21135 = sin(r21134);
        float r21136 = 2;
        float r21137 = pow(r21135, r21136);
        float r21138 = ky;
        float r21139 = sin(r21138);
        float r21140 = pow(r21139, r21136);
        float r21141 = r21137 + r21140;
        float r21142 = sqrt(r21141);
        float r21143 = r21142 / r21139;
        float r21144 = r21133 / r21143;
        float r21145 = th;
        float r21146 = sin(r21145);
        float r21147 = r21144 * r21146;
        return r21147;
}

double f_od(double kx, double ky, double th) {
        double r21148 = 1;
        double r21149 = kx;
        double r21150 = sin(r21149);
        double r21151 = 2;
        double r21152 = pow(r21150, r21151);
        double r21153 = ky;
        double r21154 = sin(r21153);
        double r21155 = pow(r21154, r21151);
        double r21156 = r21152 + r21155;
        double r21157 = sqrt(r21156);
        double r21158 = r21157 / r21154;
        double r21159 = r21148 / r21158;
        double r21160 = th;
        double r21161 = sin(r21160);
        double r21162 = r21159 * r21161;
        return r21162;
}

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 r21163, r21164, r21165, r21166, r21167, r21168, r21169, r21170, r21171, r21172, r21173, r21174, r21175;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21163);
        mpfr_init(r21164);
        mpfr_init(r21165);
        mpfr_init(r21166);
        mpfr_init_set_str(r21167, "2", 10, MPFR_RNDN);
        mpfr_init(r21168);
        mpfr_init(r21169);
        mpfr_init(r21170);
        mpfr_init(r21171);
        mpfr_init(r21172);
        mpfr_init(r21173);
        mpfr_init(r21174);
        mpfr_init(r21175);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21163, ky, MPFR_RNDN);
        mpfr_sin(r21164, r21163, MPFR_RNDN);
        mpfr_set_d(r21165, kx, MPFR_RNDN);
        mpfr_sin(r21166, r21165, MPFR_RNDN);
        ;
        mpfr_pow(r21168, r21166, r21167, MPFR_RNDN);
        mpfr_pow(r21169, r21164, r21167, MPFR_RNDN);
        mpfr_add(r21170, r21168, r21169, MPFR_RNDN);
        mpfr_sqrt(r21171, r21170, MPFR_RNDN);
        mpfr_div(r21172, r21164, r21171, MPFR_RNDN);
        mpfr_set_d(r21173, th, MPFR_RNDN);
        mpfr_sin(r21174, r21173, MPFR_RNDN);
        mpfr_mul(r21175, r21172, r21174, MPFR_RNDN);
        return mpfr_get_d(r21175, MPFR_RNDN);
}

static mpfr_t r21176, r21177, r21178, r21179, r21180, r21181, r21182, r21183, r21184, r21185, r21186, r21187, r21188, r21189, r21190;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21176, "1", 10, MPFR_RNDN);
        mpfr_init(r21177);
        mpfr_init(r21178);
        mpfr_init_set_str(r21179, "2", 10, MPFR_RNDN);
        mpfr_init(r21180);
        mpfr_init(r21181);
        mpfr_init(r21182);
        mpfr_init(r21183);
        mpfr_init(r21184);
        mpfr_init(r21185);
        mpfr_init(r21186);
        mpfr_init(r21187);
        mpfr_init(r21188);
        mpfr_init(r21189);
        mpfr_init(r21190);
}

double f_fm(double kx, double ky, double th) {
        ;
        mpfr_set_d(r21177, kx, MPFR_RNDN);
        mpfr_sin(r21178, r21177, MPFR_RNDN);
        ;
        mpfr_pow(r21180, r21178, r21179, MPFR_RNDN);
        mpfr_set_d(r21181, ky, MPFR_RNDN);
        mpfr_sin(r21182, r21181, MPFR_RNDN);
        mpfr_pow(r21183, r21182, r21179, MPFR_RNDN);
        mpfr_add(r21184, r21180, r21183, MPFR_RNDN);
        mpfr_sqrt(r21185, r21184, MPFR_RNDN);
        mpfr_div(r21186, r21185, r21182, MPFR_RNDN);
        mpfr_div(r21187, r21176, r21186, MPFR_RNDN);
        mpfr_set_d(r21188, th, MPFR_RNDN);
        mpfr_sin(r21189, r21188, MPFR_RNDN);
        mpfr_mul(r21190, r21187, r21189, MPFR_RNDN);
        return mpfr_get_d(r21190, MPFR_RNDN);
}

static mpfr_t r21191, r21192, r21193, r21194, r21195, r21196, r21197, r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21191, "1", 10, MPFR_RNDN);
        mpfr_init(r21192);
        mpfr_init(r21193);
        mpfr_init_set_str(r21194, "2", 10, MPFR_RNDN);
        mpfr_init(r21195);
        mpfr_init(r21196);
        mpfr_init(r21197);
        mpfr_init(r21198);
        mpfr_init(r21199);
        mpfr_init(r21200);
        mpfr_init(r21201);
        mpfr_init(r21202);
        mpfr_init(r21203);
        mpfr_init(r21204);
        mpfr_init(r21205);
}

double f_dm(double kx, double ky, double th) {
        ;
        mpfr_set_d(r21192, kx, MPFR_RNDN);
        mpfr_sin(r21193, r21192, MPFR_RNDN);
        ;
        mpfr_pow(r21195, r21193, r21194, MPFR_RNDN);
        mpfr_set_d(r21196, ky, MPFR_RNDN);
        mpfr_sin(r21197, r21196, MPFR_RNDN);
        mpfr_pow(r21198, r21197, r21194, MPFR_RNDN);
        mpfr_add(r21199, r21195, r21198, MPFR_RNDN);
        mpfr_sqrt(r21200, r21199, MPFR_RNDN);
        mpfr_div(r21201, r21200, r21197, MPFR_RNDN);
        mpfr_div(r21202, r21191, r21201, MPFR_RNDN);
        mpfr_set_d(r21203, th, MPFR_RNDN);
        mpfr_sin(r21204, r21203, MPFR_RNDN);
        mpfr_mul(r21205, r21202, r21204, MPFR_RNDN);
        return mpfr_get_d(r21205, MPFR_RNDN);
}

