#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 r22050 = ky;
        float r22051 = sin(r22050);
        float r22052 = kx;
        float r22053 = sin(r22052);
        float r22054 = 2;
        float r22055 = pow(r22053, r22054);
        float r22056 = pow(r22051, r22054);
        float r22057 = r22055 + r22056;
        float r22058 = sqrt(r22057);
        float r22059 = r22051 / r22058;
        float r22060 = th;
        float r22061 = sin(r22060);
        float r22062 = r22059 * r22061;
        return r22062;
}

double f_id(double kx, double ky, double th) {
        double r22063 = ky;
        double r22064 = sin(r22063);
        double r22065 = kx;
        double r22066 = sin(r22065);
        double r22067 = 2;
        double r22068 = pow(r22066, r22067);
        double r22069 = pow(r22064, r22067);
        double r22070 = r22068 + r22069;
        double r22071 = sqrt(r22070);
        double r22072 = r22064 / r22071;
        double r22073 = th;
        double r22074 = sin(r22073);
        double r22075 = r22072 * r22074;
        return r22075;
}


double f_of(float kx, float ky, float th) {
        float r22076 = ky;
        float r22077 = sin(r22076);
        float r22078 = 1;
        float r22079 = kx;
        float r22080 = sin(r22079);
        float r22081 = 2;
        float r22082 = pow(r22080, r22081);
        float r22083 = pow(r22077, r22081);
        float r22084 = r22082 + r22083;
        float r22085 = sqrt(r22084);
        float r22086 = r22078 / r22085;
        float r22087 = th;
        float r22088 = sin(r22087);
        float r22089 = r22086 * r22088;
        float r22090 = r22077 * r22089;
        return r22090;
}

double f_od(double kx, double ky, double th) {
        double r22091 = ky;
        double r22092 = sin(r22091);
        double r22093 = 1;
        double r22094 = kx;
        double r22095 = sin(r22094);
        double r22096 = 2;
        double r22097 = pow(r22095, r22096);
        double r22098 = pow(r22092, r22096);
        double r22099 = r22097 + r22098;
        double r22100 = sqrt(r22099);
        double r22101 = r22093 / r22100;
        double r22102 = th;
        double r22103 = sin(r22102);
        double r22104 = r22101 * r22103;
        double r22105 = r22092 * r22104;
        return r22105;
}

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 r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22106);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init_set_str(r22110, "2", 10, MPFR_RNDN);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init(r22118);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22106, ky, MPFR_RNDN);
        mpfr_sin(r22107, r22106, MPFR_RNDN);
        mpfr_set_d(r22108, kx, MPFR_RNDN);
        mpfr_sin(r22109, r22108, MPFR_RNDN);
        ;
        mpfr_pow(r22111, r22109, r22110, MPFR_RNDN);
        mpfr_pow(r22112, r22107, r22110, MPFR_RNDN);
        mpfr_add(r22113, r22111, r22112, MPFR_RNDN);
        mpfr_sqrt(r22114, r22113, MPFR_RNDN);
        mpfr_div(r22115, r22107, r22114, MPFR_RNDN);
        mpfr_set_d(r22116, th, MPFR_RNDN);
        mpfr_sin(r22117, r22116, MPFR_RNDN);
        mpfr_mul(r22118, r22115, r22117, MPFR_RNDN);
        return mpfr_get_d(r22118, MPFR_RNDN);
}

static mpfr_t r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init_set_str(r22121, "1", 10, MPFR_RNDN);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init_set_str(r22124, "2", 10, MPFR_RNDN);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22119, ky, MPFR_RNDN);
        mpfr_sin(r22120, r22119, MPFR_RNDN);
        ;
        mpfr_set_d(r22122, kx, MPFR_RNDN);
        mpfr_sin(r22123, r22122, MPFR_RNDN);
        ;
        mpfr_pow(r22125, r22123, r22124, MPFR_RNDN);
        mpfr_pow(r22126, r22120, r22124, MPFR_RNDN);
        mpfr_add(r22127, r22125, r22126, MPFR_RNDN);
        mpfr_sqrt(r22128, r22127, MPFR_RNDN);
        mpfr_div(r22129, r22121, r22128, MPFR_RNDN);
        mpfr_set_d(r22130, th, MPFR_RNDN);
        mpfr_sin(r22131, r22130, MPFR_RNDN);
        mpfr_mul(r22132, r22129, r22131, MPFR_RNDN);
        mpfr_mul(r22133, r22120, r22132, MPFR_RNDN);
        return mpfr_get_d(r22133, MPFR_RNDN);
}

static mpfr_t r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init_set_str(r22136, "1", 10, MPFR_RNDN);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init_set_str(r22139, "2", 10, MPFR_RNDN);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22134, ky, MPFR_RNDN);
        mpfr_sin(r22135, r22134, MPFR_RNDN);
        ;
        mpfr_set_d(r22137, kx, MPFR_RNDN);
        mpfr_sin(r22138, r22137, MPFR_RNDN);
        ;
        mpfr_pow(r22140, r22138, r22139, MPFR_RNDN);
        mpfr_pow(r22141, r22135, r22139, MPFR_RNDN);
        mpfr_add(r22142, r22140, r22141, MPFR_RNDN);
        mpfr_sqrt(r22143, r22142, MPFR_RNDN);
        mpfr_div(r22144, r22136, r22143, MPFR_RNDN);
        mpfr_set_d(r22145, th, MPFR_RNDN);
        mpfr_sin(r22146, r22145, MPFR_RNDN);
        mpfr_mul(r22147, r22144, r22146, MPFR_RNDN);
        mpfr_mul(r22148, r22135, r22147, MPFR_RNDN);
        return mpfr_get_d(r22148, MPFR_RNDN);
}