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

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r23060 = th;
        float r23061 = cos(r23060);
        float r23062 = 2;
        float r23063 = sqrt(r23062);
        float r23064 = r23061 / r23063;
        float r23065 = a1;
        float r23066 = r23065 * r23065;
        float r23067 = r23064 * r23066;
        float r23068 = a2;
        float r23069 = r23068 * r23068;
        float r23070 = r23064 * r23069;
        float r23071 = r23067 + r23070;
        return r23071;
}

double f_id(double a1, double a2, double th) {
        double r23072 = th;
        double r23073 = cos(r23072);
        double r23074 = 2;
        double r23075 = sqrt(r23074);
        double r23076 = r23073 / r23075;
        double r23077 = a1;
        double r23078 = r23077 * r23077;
        double r23079 = r23076 * r23078;
        double r23080 = a2;
        double r23081 = r23080 * r23080;
        double r23082 = r23076 * r23081;
        double r23083 = r23079 + r23082;
        return r23083;
}


double f_of(float a1, float a2, float th) {
        float r23084 = th;
        float r23085 = cos(r23084);
        float r23086 = 2;
        float r23087 = sqrt(r23086);
        float r23088 = r23085 / r23087;
        float r23089 = a1;
        float r23090 = r23089 * r23089;
        float r23091 = r23088 * r23090;
        float r23092 = a2;
        float r23093 = r23092 * r23092;
        float r23094 = r23088 * r23093;
        float r23095 = r23091 + r23094;
        return r23095;
}

double f_od(double a1, double a2, double th) {
        double r23096 = th;
        double r23097 = cos(r23096);
        double r23098 = 2;
        double r23099 = sqrt(r23098);
        double r23100 = r23097 / r23099;
        double r23101 = a1;
        double r23102 = r23101 * r23101;
        double r23103 = r23100 * r23102;
        double r23104 = a2;
        double r23105 = r23104 * r23104;
        double r23106 = r23100 * r23105;
        double r23107 = r23103 + r23106;
        return r23107;
}

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 r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init_set_str(r23110, "2", 10, MPFR_RNDN);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23108, th, MPFR_RNDN);
        mpfr_cos(r23109, r23108, MPFR_RNDN);
        ;
        mpfr_sqrt(r23111, r23110, MPFR_RNDN);
        mpfr_div(r23112, r23109, r23111, MPFR_RNDN);
        mpfr_set_d(r23113, a1, MPFR_RNDN);
        mpfr_mul(r23114, r23113, r23113, MPFR_RNDN);
        mpfr_mul(r23115, r23112, r23114, MPFR_RNDN);
        mpfr_set_d(r23116, a2, MPFR_RNDN);
        mpfr_mul(r23117, r23116, r23116, MPFR_RNDN);
        mpfr_mul(r23118, r23112, r23117, MPFR_RNDN);
        mpfr_add(r23119, r23115, r23118, MPFR_RNDN);
        return mpfr_get_d(r23119, MPFR_RNDN);
}

static mpfr_t r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init_set_str(r23122, "2", 10, MPFR_RNDN);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23120, th, MPFR_RNDN);
        mpfr_cos(r23121, r23120, MPFR_RNDN);
        ;
        mpfr_sqrt(r23123, r23122, MPFR_RNDN);
        mpfr_div(r23124, r23121, r23123, MPFR_RNDN);
        mpfr_set_d(r23125, a1, MPFR_RNDN);
        mpfr_mul(r23126, r23125, r23125, MPFR_RNDN);
        mpfr_mul(r23127, r23124, r23126, MPFR_RNDN);
        mpfr_set_d(r23128, a2, MPFR_RNDN);
        mpfr_mul(r23129, r23128, r23128, MPFR_RNDN);
        mpfr_mul(r23130, r23124, r23129, MPFR_RNDN);
        mpfr_add(r23131, r23127, r23130, MPFR_RNDN);
        return mpfr_get_d(r23131, MPFR_RNDN);
}

static mpfr_t r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init_set_str(r23134, "2", 10, MPFR_RNDN);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23132, th, MPFR_RNDN);
        mpfr_cos(r23133, r23132, MPFR_RNDN);
        ;
        mpfr_sqrt(r23135, r23134, MPFR_RNDN);
        mpfr_div(r23136, r23133, r23135, MPFR_RNDN);
        mpfr_set_d(r23137, a1, MPFR_RNDN);
        mpfr_mul(r23138, r23137, r23137, MPFR_RNDN);
        mpfr_mul(r23139, r23136, r23138, MPFR_RNDN);
        mpfr_set_d(r23140, a2, MPFR_RNDN);
        mpfr_mul(r23141, r23140, r23140, MPFR_RNDN);
        mpfr_mul(r23142, r23136, r23141, MPFR_RNDN);
        mpfr_add(r23143, r23139, r23142, MPFR_RNDN);
        return mpfr_get_d(r23143, MPFR_RNDN);
}