#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 r22053 = ky;
        float r22054 = sin(r22053);
        float r22055 = kx;
        float r22056 = sin(r22055);
        float r22057 = 2;
        float r22058 = pow(r22056, r22057);
        float r22059 = pow(r22054, r22057);
        float r22060 = r22058 + r22059;
        float r22061 = sqrt(r22060);
        float r22062 = r22054 / r22061;
        float r22063 = th;
        float r22064 = sin(r22063);
        float r22065 = r22062 * r22064;
        return r22065;
}

double f_id(double kx, double ky, double th) {
        double r22066 = ky;
        double r22067 = sin(r22066);
        double r22068 = kx;
        double r22069 = sin(r22068);
        double r22070 = 2;
        double r22071 = pow(r22069, r22070);
        double r22072 = pow(r22067, r22070);
        double r22073 = r22071 + r22072;
        double r22074 = sqrt(r22073);
        double r22075 = r22067 / r22074;
        double r22076 = th;
        double r22077 = sin(r22076);
        double r22078 = r22075 * r22077;
        return r22078;
}


double f_of(float kx, float ky, float th) {
        float r22079 = ky;
        float r22080 = sin(r22079);
        float r22081 = kx;
        float r22082 = sin(r22081);
        float r22083 = 2;
        float r22084 = pow(r22082, r22083);
        float r22085 = cbrt(r22084);
        float r22086 = r22085 * r22085;
        float r22087 = r22086 * r22085;
        float r22088 = pow(r22080, r22083);
        float r22089 = r22087 + r22088;
        float r22090 = sqrt(r22089);
        float r22091 = r22080 / r22090;
        float r22092 = th;
        float r22093 = sin(r22092);
        float r22094 = r22091 * r22093;
        return r22094;
}

double f_od(double kx, double ky, double th) {
        double r22095 = ky;
        double r22096 = sin(r22095);
        double r22097 = kx;
        double r22098 = sin(r22097);
        double r22099 = 2;
        double r22100 = pow(r22098, r22099);
        double r22101 = cbrt(r22100);
        double r22102 = r22101 * r22101;
        double r22103 = r22102 * r22101;
        double r22104 = pow(r22096, r22099);
        double r22105 = r22103 + r22104;
        double r22106 = sqrt(r22105);
        double r22107 = r22096 / r22106;
        double r22108 = th;
        double r22109 = sin(r22108);
        double r22110 = r22107 * r22109;
        return r22110;
}

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 r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init_set_str(r22115, "2", 10, MPFR_RNDN);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init(r22118);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22111, ky, MPFR_RNDN);
        mpfr_sin(r22112, r22111, MPFR_RNDN);
        mpfr_set_d(r22113, kx, MPFR_RNDN);
        mpfr_sin(r22114, r22113, MPFR_RNDN);
        ;
        mpfr_pow(r22116, r22114, r22115, MPFR_RNDN);
        mpfr_pow(r22117, r22112, r22115, MPFR_RNDN);
        mpfr_add(r22118, r22116, r22117, MPFR_RNDN);
        mpfr_sqrt(r22119, r22118, MPFR_RNDN);
        mpfr_div(r22120, r22112, r22119, MPFR_RNDN);
        mpfr_set_d(r22121, th, MPFR_RNDN);
        mpfr_sin(r22122, r22121, MPFR_RNDN);
        mpfr_mul(r22123, r22120, r22122, MPFR_RNDN);
        return mpfr_get_d(r22123, MPFR_RNDN);
}

static mpfr_t r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
        mpfr_init_set_str(r22128, "2", 10, MPFR_RNDN);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22124, ky, MPFR_RNDN);
        mpfr_sin(r22125, r22124, MPFR_RNDN);
        mpfr_set_d(r22126, kx, MPFR_RNDN);
        mpfr_sin(r22127, r22126, MPFR_RNDN);
        ;
        mpfr_pow(r22129, r22127, r22128, MPFR_RNDN);
        mpfr_cbrt(r22130, r22129, MPFR_RNDN);
        mpfr_mul(r22131, r22130, r22130, MPFR_RNDN);
        mpfr_mul(r22132, r22131, r22130, MPFR_RNDN);
        mpfr_pow(r22133, r22125, r22128, MPFR_RNDN);
        mpfr_add(r22134, r22132, r22133, MPFR_RNDN);
        mpfr_sqrt(r22135, r22134, MPFR_RNDN);
        mpfr_div(r22136, r22125, r22135, MPFR_RNDN);
        mpfr_set_d(r22137, th, MPFR_RNDN);
        mpfr_sin(r22138, r22137, MPFR_RNDN);
        mpfr_mul(r22139, r22136, r22138, MPFR_RNDN);
        return mpfr_get_d(r22139, MPFR_RNDN);
}

static mpfr_t r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init_set_str(r22144, "2", 10, MPFR_RNDN);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22140, ky, MPFR_RNDN);
        mpfr_sin(r22141, r22140, MPFR_RNDN);
        mpfr_set_d(r22142, kx, MPFR_RNDN);
        mpfr_sin(r22143, r22142, MPFR_RNDN);
        ;
        mpfr_pow(r22145, r22143, r22144, MPFR_RNDN);
        mpfr_cbrt(r22146, r22145, MPFR_RNDN);
        mpfr_mul(r22147, r22146, r22146, MPFR_RNDN);
        mpfr_mul(r22148, r22147, r22146, MPFR_RNDN);
        mpfr_pow(r22149, r22141, r22144, MPFR_RNDN);
        mpfr_add(r22150, r22148, r22149, MPFR_RNDN);
        mpfr_sqrt(r22151, r22150, MPFR_RNDN);
        mpfr_div(r22152, r22141, r22151, MPFR_RNDN);
        mpfr_set_d(r22153, th, MPFR_RNDN);
        mpfr_sin(r22154, r22153, MPFR_RNDN);
        mpfr_mul(r22155, r22152, r22154, MPFR_RNDN);
        return mpfr_get_d(r22155, MPFR_RNDN);
}

