#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 r22009 = ky;
        float r22010 = sin(r22009);
        float r22011 = kx;
        float r22012 = sin(r22011);
        float r22013 = 2;
        float r22014 = pow(r22012, r22013);
        float r22015 = pow(r22010, r22013);
        float r22016 = r22014 + r22015;
        float r22017 = sqrt(r22016);
        float r22018 = r22010 / r22017;
        float r22019 = th;
        float r22020 = sin(r22019);
        float r22021 = r22018 * r22020;
        return r22021;
}

double f_id(double kx, double ky, double th) {
        double r22022 = ky;
        double r22023 = sin(r22022);
        double r22024 = kx;
        double r22025 = sin(r22024);
        double r22026 = 2;
        double r22027 = pow(r22025, r22026);
        double r22028 = pow(r22023, r22026);
        double r22029 = r22027 + r22028;
        double r22030 = sqrt(r22029);
        double r22031 = r22023 / r22030;
        double r22032 = th;
        double r22033 = sin(r22032);
        double r22034 = r22031 * r22033;
        return r22034;
}


double f_of(float kx, float ky, float th) {
        float r22035 = ky;
        float r22036 = sin(r22035);
        float r22037 = kx;
        float r22038 = sin(r22037);
        float r22039 = cbrt(r22038);
        float r22040 = r22039 * r22039;
        float r22041 = cbrt(r22040);
        float r22042 = cbrt(r22039);
        float r22043 = r22041 * r22042;
        float r22044 = r22038 * r22043;
        float r22045 = 2;
        float r22046 = pow(r22039, r22045);
        float r22047 = r22044 * r22046;
        float r22048 = pow(r22036, r22045);
        float r22049 = r22047 + r22048;
        float r22050 = sqrt(r22049);
        float r22051 = r22036 / r22050;
        float r22052 = th;
        float r22053 = sin(r22052);
        float r22054 = r22051 * r22053;
        return r22054;
}

double f_od(double kx, double ky, double th) {
        double r22055 = ky;
        double r22056 = sin(r22055);
        double r22057 = kx;
        double r22058 = sin(r22057);
        double r22059 = cbrt(r22058);
        double r22060 = r22059 * r22059;
        double r22061 = cbrt(r22060);
        double r22062 = cbrt(r22059);
        double r22063 = r22061 * r22062;
        double r22064 = r22058 * r22063;
        double r22065 = 2;
        double r22066 = pow(r22059, r22065);
        double r22067 = r22064 * r22066;
        double r22068 = pow(r22056, r22065);
        double r22069 = r22067 + r22068;
        double r22070 = sqrt(r22069);
        double r22071 = r22056 / r22070;
        double r22072 = th;
        double r22073 = sin(r22072);
        double r22074 = r22071 * r22073;
        return r22074;
}

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 r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init(r22077);
        mpfr_init(r22078);
        mpfr_init_set_str(r22079, "2", 10, MPFR_RNDN);
        mpfr_init(r22080);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22075, ky, MPFR_RNDN);
        mpfr_sin(r22076, r22075, MPFR_RNDN);
        mpfr_set_d(r22077, kx, MPFR_RNDN);
        mpfr_sin(r22078, r22077, MPFR_RNDN);
        ;
        mpfr_pow(r22080, r22078, r22079, MPFR_RNDN);
        mpfr_pow(r22081, r22076, r22079, MPFR_RNDN);
        mpfr_add(r22082, r22080, r22081, MPFR_RNDN);
        mpfr_sqrt(r22083, r22082, MPFR_RNDN);
        mpfr_div(r22084, r22076, r22083, MPFR_RNDN);
        mpfr_set_d(r22085, th, MPFR_RNDN);
        mpfr_sin(r22086, r22085, MPFR_RNDN);
        mpfr_mul(r22087, r22084, r22086, MPFR_RNDN);
        return mpfr_get_d(r22087, MPFR_RNDN);
}

static mpfr_t r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init_set_str(r22098, "2", 10, MPFR_RNDN);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init(r22105);
        mpfr_init(r22106);
        mpfr_init(r22107);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22088, ky, MPFR_RNDN);
        mpfr_sin(r22089, r22088, MPFR_RNDN);
        mpfr_set_d(r22090, kx, MPFR_RNDN);
        mpfr_sin(r22091, r22090, MPFR_RNDN);
        mpfr_cbrt(r22092, r22091, MPFR_RNDN);
        mpfr_mul(r22093, r22092, r22092, MPFR_RNDN);
        mpfr_cbrt(r22094, r22093, MPFR_RNDN);
        mpfr_cbrt(r22095, r22092, MPFR_RNDN);
        mpfr_mul(r22096, r22094, r22095, MPFR_RNDN);
        mpfr_mul(r22097, r22091, r22096, MPFR_RNDN);
        ;
        mpfr_pow(r22099, r22092, r22098, MPFR_RNDN);
        mpfr_mul(r22100, r22097, r22099, MPFR_RNDN);
        mpfr_pow(r22101, r22089, r22098, MPFR_RNDN);
        mpfr_add(r22102, r22100, r22101, MPFR_RNDN);
        mpfr_sqrt(r22103, r22102, MPFR_RNDN);
        mpfr_div(r22104, r22089, r22103, MPFR_RNDN);
        mpfr_set_d(r22105, th, MPFR_RNDN);
        mpfr_sin(r22106, r22105, MPFR_RNDN);
        mpfr_mul(r22107, r22104, r22106, MPFR_RNDN);
        return mpfr_get_d(r22107, MPFR_RNDN);
}

static mpfr_t r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init_set_str(r22118, "2", 10, MPFR_RNDN);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22108, ky, MPFR_RNDN);
        mpfr_sin(r22109, r22108, MPFR_RNDN);
        mpfr_set_d(r22110, kx, MPFR_RNDN);
        mpfr_sin(r22111, r22110, MPFR_RNDN);
        mpfr_cbrt(r22112, r22111, MPFR_RNDN);
        mpfr_mul(r22113, r22112, r22112, MPFR_RNDN);
        mpfr_cbrt(r22114, r22113, MPFR_RNDN);
        mpfr_cbrt(r22115, r22112, MPFR_RNDN);
        mpfr_mul(r22116, r22114, r22115, MPFR_RNDN);
        mpfr_mul(r22117, r22111, r22116, MPFR_RNDN);
        ;
        mpfr_pow(r22119, r22112, r22118, MPFR_RNDN);
        mpfr_mul(r22120, r22117, r22119, MPFR_RNDN);
        mpfr_pow(r22121, r22109, r22118, MPFR_RNDN);
        mpfr_add(r22122, r22120, r22121, MPFR_RNDN);
        mpfr_sqrt(r22123, r22122, MPFR_RNDN);
        mpfr_div(r22124, r22109, r22123, MPFR_RNDN);
        mpfr_set_d(r22125, th, MPFR_RNDN);
        mpfr_sin(r22126, r22125, MPFR_RNDN);
        mpfr_mul(r22127, r22124, r22126, MPFR_RNDN);
        return mpfr_get_d(r22127, MPFR_RNDN);
}