#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Maksimov and Kolovsky, Equation (3)";

double f_if(float J, float K, float U) {
        float r23040 = -2;
        float r23041 = J;
        float r23042 = r23040 * r23041;
        float r23043 = K;
        float r23044 = 2;
        float r23045 = r23043 / r23044;
        float r23046 = cos(r23045);
        float r23047 = r23042 * r23046;
        float r23048 = 1;
        float r23049 = U;
        float r23050 = r23044 * r23041;
        float r23051 = r23050 * r23046;
        float r23052 = r23049 / r23051;
        float r23053 = pow(r23052, r23044);
        float r23054 = r23048 + r23053;
        float r23055 = sqrt(r23054);
        float r23056 = r23047 * r23055;
        return r23056;
}

double f_id(double J, double K, double U) {
        double r23057 = -2;
        double r23058 = J;
        double r23059 = r23057 * r23058;
        double r23060 = K;
        double r23061 = 2;
        double r23062 = r23060 / r23061;
        double r23063 = cos(r23062);
        double r23064 = r23059 * r23063;
        double r23065 = 1;
        double r23066 = U;
        double r23067 = r23061 * r23058;
        double r23068 = r23067 * r23063;
        double r23069 = r23066 / r23068;
        double r23070 = pow(r23069, r23061);
        double r23071 = r23065 + r23070;
        double r23072 = sqrt(r23071);
        double r23073 = r23064 * r23072;
        return r23073;
}


double f_of(float J, float K, float U) {
        float r23074 = J;
        float r23075 = -2;
        float r23076 = K;
        float r23077 = 2;
        float r23078 = r23076 / r23077;
        float r23079 = cos(r23078);
        float r23080 = r23075 * r23079;
        float r23081 = r23074 * r23080;
        float r23082 = 1;
        float r23083 = U;
        float r23084 = r23083 / r23077;
        float r23085 = r23084 / r23074;
        float r23086 = r23085 / r23079;
        float r23087 = hypot(r23082, r23086);
        float r23088 = r23081 * r23087;
        float r23089 = -inf.0;
        bool r23090 = r23088 <= r23089;
        float r23091 = 1/2;
        float r23092 = r23091 * r23083;
        float r23093 = r23075 * r23092;
        float r23094 = +inf.0;
        bool r23095 = r23088 <= r23094;
        float r23096 = r23095 ? r23088 : r23093;
        float r23097 = r23090 ? r23093 : r23096;
        return r23097;
}

double f_od(double J, double K, double U) {
        double r23098 = J;
        double r23099 = -2;
        double r23100 = K;
        double r23101 = 2;
        double r23102 = r23100 / r23101;
        double r23103 = cos(r23102);
        double r23104 = r23099 * r23103;
        double r23105 = r23098 * r23104;
        double r23106 = 1;
        double r23107 = U;
        double r23108 = r23107 / r23101;
        double r23109 = r23108 / r23098;
        double r23110 = r23109 / r23103;
        double r23111 = hypot(r23106, r23110);
        double r23112 = r23105 * r23111;
        double r23113 = -inf.0;
        bool r23114 = r23112 <= r23113;
        double r23115 = 1/2;
        double r23116 = r23115 * r23107;
        double r23117 = r23099 * r23116;
        double r23118 = +inf.0;
        bool r23119 = r23112 <= r23118;
        double r23120 = r23119 ? r23112 : r23117;
        double r23121 = r23114 ? r23117 : r23120;
        return r23121;
}

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 r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r23122, "-2", 10, MPFR_RNDN);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init_set_str(r23126, "2", 10, MPFR_RNDN);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init_set_str(r23130, "1", 10, MPFR_RNDN);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
}

double f_im(double J, double K, double U) {
        ;
        mpfr_set_d(r23123, J, MPFR_RNDN);
        mpfr_mul(r23124, r23122, r23123, MPFR_RNDN);
        mpfr_set_d(r23125, K, MPFR_RNDN);
        ;
        mpfr_div(r23127, r23125, r23126, MPFR_RNDN);
        mpfr_cos(r23128, r23127, MPFR_RNDN);
        mpfr_mul(r23129, r23124, r23128, MPFR_RNDN);
        ;
        mpfr_set_d(r23131, U, MPFR_RNDN);
        mpfr_mul(r23132, r23126, r23123, MPFR_RNDN);
        mpfr_mul(r23133, r23132, r23128, MPFR_RNDN);
        mpfr_div(r23134, r23131, r23133, MPFR_RNDN);
        mpfr_pow(r23135, r23134, r23126, MPFR_RNDN);
        mpfr_add(r23136, r23130, r23135, MPFR_RNDN);
        mpfr_sqrt(r23137, r23136, MPFR_RNDN);
        mpfr_mul(r23138, r23129, r23137, MPFR_RNDN);
        return mpfr_get_d(r23138, MPFR_RNDN);
}

static mpfr_t r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23139);
        mpfr_init_set_str(r23140, "-2", 10, MPFR_RNDN);
        mpfr_init(r23141);
        mpfr_init_set_str(r23142, "2", 10, MPFR_RNDN);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init_set_str(r23147, "1", 10, MPFR_RNDN);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init_set_str(r23154, "-inf.0", 10, MPFR_RNDN);
        mpfr_init(r23155);
        mpfr_init_set_str(r23156, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init_set_str(r23159, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
}

double f_fm(double J, double K, double U) {
        mpfr_set_d(r23139, J, MPFR_RNDN);
        ;
        mpfr_set_d(r23141, K, MPFR_RNDN);
        ;
        mpfr_div(r23143, r23141, r23142, MPFR_RNDN);
        mpfr_cos(r23144, r23143, MPFR_RNDN);
        mpfr_mul(r23145, r23140, r23144, MPFR_RNDN);
        mpfr_mul(r23146, r23139, r23145, MPFR_RNDN);
        ;
        mpfr_set_d(r23148, U, MPFR_RNDN);
        mpfr_div(r23149, r23148, r23142, MPFR_RNDN);
        mpfr_div(r23150, r23149, r23139, MPFR_RNDN);
        mpfr_div(r23151, r23150, r23144, MPFR_RNDN);
        mpfr_hypot(r23152, r23147, r23151, MPFR_RNDN);
        mpfr_mul(r23153, r23146, r23152, MPFR_RNDN);
        ;
        mpfr_set_si(r23155, mpfr_cmp(r23153, r23154) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r23157, r23156, r23148, MPFR_RNDN);
        mpfr_mul(r23158, r23140, r23157, MPFR_RNDN);
        ;
        mpfr_set_si(r23160, mpfr_cmp(r23153, r23159) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r23160, MPFR_RNDN)) { mpfr_set(r23161, r23153, MPFR_RNDN); } else { mpfr_set(r23161, r23158, MPFR_RNDN); };
        if (mpfr_get_si(r23155, MPFR_RNDN)) { mpfr_set(r23162, r23158, MPFR_RNDN); } else { mpfr_set(r23162, r23161, MPFR_RNDN); };
        return mpfr_get_d(r23162, MPFR_RNDN);
}

static mpfr_t r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23163);
        mpfr_init_set_str(r23164, "-2", 10, MPFR_RNDN);
        mpfr_init(r23165);
        mpfr_init_set_str(r23166, "2", 10, MPFR_RNDN);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init(r23170);
        mpfr_init_set_str(r23171, "1", 10, MPFR_RNDN);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init_set_str(r23178, "-inf.0", 10, MPFR_RNDN);
        mpfr_init(r23179);
        mpfr_init_set_str(r23180, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init_set_str(r23183, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
}

double f_dm(double J, double K, double U) {
        mpfr_set_d(r23163, J, MPFR_RNDN);
        ;
        mpfr_set_d(r23165, K, MPFR_RNDN);
        ;
        mpfr_div(r23167, r23165, r23166, MPFR_RNDN);
        mpfr_cos(r23168, r23167, MPFR_RNDN);
        mpfr_mul(r23169, r23164, r23168, MPFR_RNDN);
        mpfr_mul(r23170, r23163, r23169, MPFR_RNDN);
        ;
        mpfr_set_d(r23172, U, MPFR_RNDN);
        mpfr_div(r23173, r23172, r23166, MPFR_RNDN);
        mpfr_div(r23174, r23173, r23163, MPFR_RNDN);
        mpfr_div(r23175, r23174, r23168, MPFR_RNDN);
        mpfr_hypot(r23176, r23171, r23175, MPFR_RNDN);
        mpfr_mul(r23177, r23170, r23176, MPFR_RNDN);
        ;
        mpfr_set_si(r23179, mpfr_cmp(r23177, r23178) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r23181, r23180, r23172, MPFR_RNDN);
        mpfr_mul(r23182, r23164, r23181, MPFR_RNDN);
        ;
        mpfr_set_si(r23184, mpfr_cmp(r23177, r23183) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r23184, MPFR_RNDN)) { mpfr_set(r23185, r23177, MPFR_RNDN); } else { mpfr_set(r23185, r23182, MPFR_RNDN); };
        if (mpfr_get_si(r23179, MPFR_RNDN)) { mpfr_set(r23186, r23182, MPFR_RNDN); } else { mpfr_set(r23186, r23185, MPFR_RNDN); };
        return mpfr_get_d(r23186, MPFR_RNDN);
}