#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 r22037 = ky;
        float r22038 = sin(r22037);
        float r22039 = kx;
        float r22040 = sin(r22039);
        float r22041 = 2;
        float r22042 = pow(r22040, r22041);
        float r22043 = pow(r22038, r22041);
        float r22044 = r22042 + r22043;
        float r22045 = sqrt(r22044);
        float r22046 = r22038 / r22045;
        float r22047 = th;
        float r22048 = sin(r22047);
        float r22049 = r22046 * r22048;
        return r22049;
}

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


double f_of(float kx, float ky, float th) {
        float r22063 = ky;
        float r22064 = sin(r22063);
        float r22065 = kx;
        float r22066 = sin(r22065);
        float r22067 = 2;
        float r22068 = pow(r22066, r22067);
        float r22069 = cbrt(r22068);
        float r22070 = r22069 * r22069;
        float r22071 = r22070 * r22069;
        float r22072 = pow(r22064, r22067);
        float r22073 = r22071 + r22072;
        float r22074 = sqrt(r22073);
        float r22075 = r22064 / r22074;
        float r22076 = th;
        float r22077 = sin(r22076);
        float r22078 = r22075 * r22077;
        return r22078;
}

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

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 r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init_set_str(r22099, "2", 10, MPFR_RNDN);
        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_im(double kx, double ky, double th) {
        mpfr_set_d(r22095, ky, MPFR_RNDN);
        mpfr_sin(r22096, r22095, MPFR_RNDN);
        mpfr_set_d(r22097, kx, MPFR_RNDN);
        mpfr_sin(r22098, r22097, MPFR_RNDN);
        ;
        mpfr_pow(r22100, r22098, r22099, MPFR_RNDN);
        mpfr_pow(r22101, r22096, r22099, MPFR_RNDN);
        mpfr_add(r22102, r22100, r22101, MPFR_RNDN);
        mpfr_sqrt(r22103, r22102, MPFR_RNDN);
        mpfr_div(r22104, r22096, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init_set_str(r22112, "2", 10, MPFR_RNDN);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        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_fm(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_pow(r22113, r22111, r22112, MPFR_RNDN);
        mpfr_cbrt(r22114, r22113, MPFR_RNDN);
        mpfr_mul(r22115, r22114, r22114, MPFR_RNDN);
        mpfr_mul(r22116, r22115, r22114, MPFR_RNDN);
        mpfr_pow(r22117, r22109, r22112, MPFR_RNDN);
        mpfr_add(r22118, r22116, r22117, MPFR_RNDN);
        mpfr_sqrt(r22119, r22118, MPFR_RNDN);
        mpfr_div(r22120, r22109, 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_dm() {
        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_dm(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);
}

