#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 r21986 = ky;
        float r21987 = sin(r21986);
        float r21988 = kx;
        float r21989 = sin(r21988);
        float r21990 = 2;
        float r21991 = pow(r21989, r21990);
        float r21992 = pow(r21987, r21990);
        float r21993 = r21991 + r21992;
        float r21994 = sqrt(r21993);
        float r21995 = r21987 / r21994;
        float r21996 = th;
        float r21997 = sin(r21996);
        float r21998 = r21995 * r21997;
        return r21998;
}

double f_id(double kx, double ky, double th) {
        double r21999 = ky;
        double r22000 = sin(r21999);
        double r22001 = kx;
        double r22002 = sin(r22001);
        double r22003 = 2;
        double r22004 = pow(r22002, r22003);
        double r22005 = pow(r22000, r22003);
        double r22006 = r22004 + r22005;
        double r22007 = sqrt(r22006);
        double r22008 = r22000 / r22007;
        double r22009 = th;
        double r22010 = sin(r22009);
        double r22011 = r22008 * r22010;
        return r22011;
}


double f_of(float kx, float ky, float th) {
        float r22012 = th;
        float r22013 = sin(r22012);
        float r22014 = ky;
        float r22015 = sin(r22014);
        float r22016 = kx;
        float r22017 = sin(r22016);
        float r22018 = hypot(r22015, r22017);
        float r22019 = r22018 / r22015;
        float r22020 = r22013 / r22019;
        return r22020;
}

double f_od(double kx, double ky, double th) {
        double r22021 = th;
        double r22022 = sin(r22021);
        double r22023 = ky;
        double r22024 = sin(r22023);
        double r22025 = kx;
        double r22026 = sin(r22025);
        double r22027 = hypot(r22024, r22026);
        double r22028 = r22027 / r22024;
        double r22029 = r22022 / r22028;
        return r22029;
}

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 r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038, r22039, r22040, r22041, r22042;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init_set_str(r22034, "2", 10, MPFR_RNDN);
        mpfr_init(r22035);
        mpfr_init(r22036);
        mpfr_init(r22037);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init(r22041);
        mpfr_init(r22042);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22030, ky, MPFR_RNDN);
        mpfr_sin(r22031, r22030, MPFR_RNDN);
        mpfr_set_d(r22032, kx, MPFR_RNDN);
        mpfr_sin(r22033, r22032, MPFR_RNDN);
        ;
        mpfr_pow(r22035, r22033, r22034, MPFR_RNDN);
        mpfr_pow(r22036, r22031, r22034, MPFR_RNDN);
        mpfr_add(r22037, r22035, r22036, MPFR_RNDN);
        mpfr_sqrt(r22038, r22037, MPFR_RNDN);
        mpfr_div(r22039, r22031, r22038, MPFR_RNDN);
        mpfr_set_d(r22040, th, MPFR_RNDN);
        mpfr_sin(r22041, r22040, MPFR_RNDN);
        mpfr_mul(r22042, r22039, r22041, MPFR_RNDN);
        return mpfr_get_d(r22042, MPFR_RNDN);
}

static mpfr_t r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22043);
        mpfr_init(r22044);
        mpfr_init(r22045);
        mpfr_init(r22046);
        mpfr_init(r22047);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22043, th, MPFR_RNDN);
        mpfr_sin(r22044, r22043, MPFR_RNDN);
        mpfr_set_d(r22045, ky, MPFR_RNDN);
        mpfr_sin(r22046, r22045, MPFR_RNDN);
        mpfr_set_d(r22047, kx, MPFR_RNDN);
        mpfr_sin(r22048, r22047, MPFR_RNDN);
        mpfr_hypot(r22049, r22046, r22048, MPFR_RNDN);
        mpfr_div(r22050, r22049, r22046, MPFR_RNDN);
        mpfr_div(r22051, r22044, r22050, MPFR_RNDN);
        return mpfr_get_d(r22051, MPFR_RNDN);
}

static mpfr_t r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22052);
        mpfr_init(r22053);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init(r22057);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22052, th, MPFR_RNDN);
        mpfr_sin(r22053, r22052, MPFR_RNDN);
        mpfr_set_d(r22054, ky, MPFR_RNDN);
        mpfr_sin(r22055, r22054, MPFR_RNDN);
        mpfr_set_d(r22056, kx, MPFR_RNDN);
        mpfr_sin(r22057, r22056, MPFR_RNDN);
        mpfr_hypot(r22058, r22055, r22057, MPFR_RNDN);
        mpfr_div(r22059, r22058, r22055, MPFR_RNDN);
        mpfr_div(r22060, r22053, r22059, MPFR_RNDN);
        return mpfr_get_d(r22060, MPFR_RNDN);
}