#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 r22049 = ky;
        float r22050 = sin(r22049);
        float r22051 = kx;
        float r22052 = sin(r22051);
        float r22053 = 2;
        float r22054 = pow(r22052, r22053);
        float r22055 = pow(r22050, r22053);
        float r22056 = r22054 + r22055;
        float r22057 = sqrt(r22056);
        float r22058 = r22050 / r22057;
        float r22059 = th;
        float r22060 = sin(r22059);
        float r22061 = r22058 * r22060;
        return r22061;
}

double f_id(double kx, double ky, double th) {
        double r22062 = ky;
        double r22063 = sin(r22062);
        double r22064 = kx;
        double r22065 = sin(r22064);
        double r22066 = 2;
        double r22067 = pow(r22065, r22066);
        double r22068 = pow(r22063, r22066);
        double r22069 = r22067 + r22068;
        double r22070 = sqrt(r22069);
        double r22071 = r22063 / r22070;
        double r22072 = th;
        double r22073 = sin(r22072);
        double r22074 = r22071 * r22073;
        return r22074;
}


double f_of(float kx, float ky, float th) {
        float r22075 = ky;
        float r22076 = sin(r22075);
        float r22077 = kx;
        float r22078 = sin(r22077);
        float r22079 = cbrt(r22078);
        float r22080 = r22078 * r22079;
        float r22081 = 2;
        float r22082 = pow(r22079, r22081);
        float r22083 = r22080 * r22082;
        float r22084 = pow(r22076, r22081);
        float r22085 = r22083 + r22084;
        float r22086 = sqrt(r22085);
        float r22087 = r22076 / r22086;
        float r22088 = th;
        float r22089 = sin(r22088);
        float r22090 = r22087 * r22089;
        return r22090;
}

double f_od(double kx, double ky, double th) {
        double r22091 = ky;
        double r22092 = sin(r22091);
        double r22093 = kx;
        double r22094 = sin(r22093);
        double r22095 = cbrt(r22094);
        double r22096 = r22094 * r22095;
        double r22097 = 2;
        double r22098 = pow(r22095, r22097);
        double r22099 = r22096 * r22098;
        double r22100 = pow(r22092, r22097);
        double r22101 = r22099 + r22100;
        double r22102 = sqrt(r22101);
        double r22103 = r22092 / r22102;
        double r22104 = th;
        double r22105 = sin(r22104);
        double r22106 = r22103 * r22105;
        return r22106;
}

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 r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init_set_str(r22111, "2", 10, MPFR_RNDN);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init(r22118);
        mpfr_init(r22119);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22107, ky, MPFR_RNDN);
        mpfr_sin(r22108, r22107, MPFR_RNDN);
        mpfr_set_d(r22109, kx, MPFR_RNDN);
        mpfr_sin(r22110, r22109, MPFR_RNDN);
        ;
        mpfr_pow(r22112, r22110, r22111, MPFR_RNDN);
        mpfr_pow(r22113, r22108, r22111, MPFR_RNDN);
        mpfr_add(r22114, r22112, r22113, MPFR_RNDN);
        mpfr_sqrt(r22115, r22114, MPFR_RNDN);
        mpfr_div(r22116, r22108, r22115, MPFR_RNDN);
        mpfr_set_d(r22117, th, MPFR_RNDN);
        mpfr_sin(r22118, r22117, MPFR_RNDN);
        mpfr_mul(r22119, r22116, r22118, MPFR_RNDN);
        return mpfr_get_d(r22119, MPFR_RNDN);
}

static mpfr_t r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init_set_str(r22126, "2", 10, MPFR_RNDN);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22120, ky, MPFR_RNDN);
        mpfr_sin(r22121, r22120, MPFR_RNDN);
        mpfr_set_d(r22122, kx, MPFR_RNDN);
        mpfr_sin(r22123, r22122, MPFR_RNDN);
        mpfr_cbrt(r22124, r22123, MPFR_RNDN);
        mpfr_mul(r22125, r22123, r22124, MPFR_RNDN);
        ;
        mpfr_pow(r22127, r22124, r22126, MPFR_RNDN);
        mpfr_mul(r22128, r22125, r22127, MPFR_RNDN);
        mpfr_pow(r22129, r22121, r22126, MPFR_RNDN);
        mpfr_add(r22130, r22128, r22129, MPFR_RNDN);
        mpfr_sqrt(r22131, r22130, MPFR_RNDN);
        mpfr_div(r22132, r22121, r22131, MPFR_RNDN);
        mpfr_set_d(r22133, th, MPFR_RNDN);
        mpfr_sin(r22134, r22133, MPFR_RNDN);
        mpfr_mul(r22135, r22132, r22134, MPFR_RNDN);
        return mpfr_get_d(r22135, MPFR_RNDN);
}

static mpfr_t r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init_set_str(r22142, "2", 10, MPFR_RNDN);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22136, ky, MPFR_RNDN);
        mpfr_sin(r22137, r22136, MPFR_RNDN);
        mpfr_set_d(r22138, kx, MPFR_RNDN);
        mpfr_sin(r22139, r22138, MPFR_RNDN);
        mpfr_cbrt(r22140, r22139, MPFR_RNDN);
        mpfr_mul(r22141, r22139, r22140, MPFR_RNDN);
        ;
        mpfr_pow(r22143, r22140, r22142, MPFR_RNDN);
        mpfr_mul(r22144, r22141, r22143, MPFR_RNDN);
        mpfr_pow(r22145, r22137, r22142, MPFR_RNDN);
        mpfr_add(r22146, r22144, r22145, MPFR_RNDN);
        mpfr_sqrt(r22147, r22146, MPFR_RNDN);
        mpfr_div(r22148, r22137, r22147, MPFR_RNDN);
        mpfr_set_d(r22149, th, MPFR_RNDN);
        mpfr_sin(r22150, r22149, MPFR_RNDN);
        mpfr_mul(r22151, r22148, r22150, MPFR_RNDN);
        return mpfr_get_d(r22151, MPFR_RNDN);
}

