#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 r22021 = ky;
        float r22022 = sin(r22021);
        float r22023 = kx;
        float r22024 = sin(r22023);
        float r22025 = 2;
        float r22026 = pow(r22024, r22025);
        float r22027 = pow(r22022, r22025);
        float r22028 = r22026 + r22027;
        float r22029 = sqrt(r22028);
        float r22030 = r22022 / r22029;
        float r22031 = th;
        float r22032 = sin(r22031);
        float r22033 = r22030 * r22032;
        return r22033;
}

double f_id(double kx, double ky, double th) {
        double r22034 = ky;
        double r22035 = sin(r22034);
        double r22036 = kx;
        double r22037 = sin(r22036);
        double r22038 = 2;
        double r22039 = pow(r22037, r22038);
        double r22040 = pow(r22035, r22038);
        double r22041 = r22039 + r22040;
        double r22042 = sqrt(r22041);
        double r22043 = r22035 / r22042;
        double r22044 = th;
        double r22045 = sin(r22044);
        double r22046 = r22043 * r22045;
        return r22046;
}


double f_of(float kx, float ky, float th) {
        float r22047 = ky;
        float r22048 = sin(r22047);
        float r22049 = kx;
        float r22050 = sin(r22049);
        float r22051 = 2;
        float r22052 = pow(r22050, r22051);
        float r22053 = cbrt(r22048);
        float r22054 = r22048 * r22053;
        float r22055 = pow(r22053, r22051);
        float r22056 = r22054 * r22055;
        float r22057 = r22052 + r22056;
        float r22058 = sqrt(r22057);
        float r22059 = r22048 / r22058;
        float r22060 = th;
        float r22061 = sin(r22060);
        float r22062 = r22059 * r22061;
        return r22062;
}

double f_od(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 = cbrt(r22064);
        double r22070 = r22064 * r22069;
        double r22071 = pow(r22069, r22067);
        double r22072 = r22070 * r22071;
        double r22073 = r22068 + r22072;
        double r22074 = sqrt(r22073);
        double r22075 = r22064 / r22074;
        double r22076 = th;
        double r22077 = sin(r22076);
        double r22078 = r22075 * r22077;
        return r22078;
}

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 r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init(r22079);
        mpfr_init(r22080);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init_set_str(r22083, "2", 10, MPFR_RNDN);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init(r22091);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22079, ky, MPFR_RNDN);
        mpfr_sin(r22080, r22079, MPFR_RNDN);
        mpfr_set_d(r22081, kx, MPFR_RNDN);
        mpfr_sin(r22082, r22081, MPFR_RNDN);
        ;
        mpfr_pow(r22084, r22082, r22083, MPFR_RNDN);
        mpfr_pow(r22085, r22080, r22083, MPFR_RNDN);
        mpfr_add(r22086, r22084, r22085, MPFR_RNDN);
        mpfr_sqrt(r22087, r22086, MPFR_RNDN);
        mpfr_div(r22088, r22080, r22087, MPFR_RNDN);
        mpfr_set_d(r22089, th, MPFR_RNDN);
        mpfr_sin(r22090, r22089, MPFR_RNDN);
        mpfr_mul(r22091, r22088, r22090, MPFR_RNDN);
        return mpfr_get_d(r22091, MPFR_RNDN);
}

static mpfr_t 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(336);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init_set_str(r22096, "2", 10, MPFR_RNDN);
        mpfr_init(r22097);
        mpfr_init(r22098);
        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(r22092, ky, MPFR_RNDN);
        mpfr_sin(r22093, r22092, MPFR_RNDN);
        mpfr_set_d(r22094, kx, MPFR_RNDN);
        mpfr_sin(r22095, r22094, MPFR_RNDN);
        ;
        mpfr_pow(r22097, r22095, r22096, MPFR_RNDN);
        mpfr_cbrt(r22098, r22093, MPFR_RNDN);
        mpfr_mul(r22099, r22093, r22098, MPFR_RNDN);
        mpfr_pow(r22100, r22098, r22096, MPFR_RNDN);
        mpfr_mul(r22101, r22099, r22100, MPFR_RNDN);
        mpfr_add(r22102, r22097, r22101, MPFR_RNDN);
        mpfr_sqrt(r22103, r22102, MPFR_RNDN);
        mpfr_div(r22104, r22093, 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_dm() {
        mpfr_set_default_prec(336);
        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_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_pow(r22113, r22111, r22112, MPFR_RNDN);
        mpfr_cbrt(r22114, r22109, MPFR_RNDN);
        mpfr_mul(r22115, r22109, r22114, MPFR_RNDN);
        mpfr_pow(r22116, r22114, r22112, MPFR_RNDN);
        mpfr_mul(r22117, r22115, r22116, MPFR_RNDN);
        mpfr_add(r22118, r22113, 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);
}

