#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 r22019 = th;
        float r22020 = cos(r22019);
        float r22021 = 2;
        float r22022 = sqrt(r22021);
        float r22023 = r22020 / r22022;
        float r22024 = a1;
        float r22025 = r22024 * r22024;
        float r22026 = r22023 * r22025;
        float r22027 = a2;
        float r22028 = r22027 * r22027;
        float r22029 = r22023 * r22028;
        float r22030 = r22026 + r22029;
        return r22030;
}

double f_id(double a1, double a2, double th) {
        double r22031 = th;
        double r22032 = cos(r22031);
        double r22033 = 2;
        double r22034 = sqrt(r22033);
        double r22035 = r22032 / r22034;
        double r22036 = a1;
        double r22037 = r22036 * r22036;
        double r22038 = r22035 * r22037;
        double r22039 = a2;
        double r22040 = r22039 * r22039;
        double r22041 = r22035 * r22040;
        double r22042 = r22038 + r22041;
        return r22042;
}


double f_of(float a1, float a2, float th) {
        float r22043 = th;
        float r22044 = cos(r22043);
        float r22045 = 2;
        float r22046 = sqrt(r22045);
        float r22047 = r22044 / r22046;
        float r22048 = a1;
        float r22049 = r22047 * r22048;
        float r22050 = r22049 * r22048;
        float r22051 = a2;
        float r22052 = r22051 * r22051;
        float r22053 = r22047 * r22052;
        float r22054 = r22050 + r22053;
        return r22054;
}

double f_od(double a1, double a2, double th) {
        double r22055 = th;
        double r22056 = cos(r22055);
        double r22057 = 2;
        double r22058 = sqrt(r22057);
        double r22059 = r22056 / r22058;
        double r22060 = a1;
        double r22061 = r22059 * r22060;
        double r22062 = r22061 * r22060;
        double r22063 = a2;
        double r22064 = r22063 * r22063;
        double r22065 = r22059 * r22064;
        double r22066 = r22062 + r22065;
        return r22066;
}

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 r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init_set_str(r22069, "2", 10, MPFR_RNDN);
        mpfr_init(r22070);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init(r22074);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init(r22077);
        mpfr_init(r22078);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22067, th, MPFR_RNDN);
        mpfr_cos(r22068, r22067, MPFR_RNDN);
        ;
        mpfr_sqrt(r22070, r22069, MPFR_RNDN);
        mpfr_div(r22071, r22068, r22070, MPFR_RNDN);
        mpfr_set_d(r22072, a1, MPFR_RNDN);
        mpfr_mul(r22073, r22072, r22072, MPFR_RNDN);
        mpfr_mul(r22074, r22071, r22073, MPFR_RNDN);
        mpfr_set_d(r22075, a2, MPFR_RNDN);
        mpfr_mul(r22076, r22075, r22075, MPFR_RNDN);
        mpfr_mul(r22077, r22071, r22076, MPFR_RNDN);
        mpfr_add(r22078, r22074, r22077, MPFR_RNDN);
        return mpfr_get_d(r22078, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22079);
        mpfr_init(r22080);
        mpfr_init_set_str(r22081, "2", 10, MPFR_RNDN);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22079, th, MPFR_RNDN);
        mpfr_cos(r22080, r22079, MPFR_RNDN);
        ;
        mpfr_sqrt(r22082, r22081, MPFR_RNDN);
        mpfr_div(r22083, r22080, r22082, MPFR_RNDN);
        mpfr_set_d(r22084, a1, MPFR_RNDN);
        mpfr_mul(r22085, r22083, r22084, MPFR_RNDN);
        mpfr_mul(r22086, r22085, r22084, MPFR_RNDN);
        mpfr_set_d(r22087, a2, MPFR_RNDN);
        mpfr_mul(r22088, r22087, r22087, MPFR_RNDN);
        mpfr_mul(r22089, r22083, r22088, MPFR_RNDN);
        mpfr_add(r22090, r22086, r22089, MPFR_RNDN);
        return mpfr_get_d(r22090, MPFR_RNDN);
}

static mpfr_t r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init_set_str(r22093, "2", 10, MPFR_RNDN);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22091, th, MPFR_RNDN);
        mpfr_cos(r22092, r22091, MPFR_RNDN);
        ;
        mpfr_sqrt(r22094, r22093, MPFR_RNDN);
        mpfr_div(r22095, r22092, r22094, MPFR_RNDN);
        mpfr_set_d(r22096, a1, MPFR_RNDN);
        mpfr_mul(r22097, r22095, r22096, MPFR_RNDN);
        mpfr_mul(r22098, r22097, r22096, MPFR_RNDN);
        mpfr_set_d(r22099, a2, MPFR_RNDN);
        mpfr_mul(r22100, r22099, r22099, MPFR_RNDN);
        mpfr_mul(r22101, r22095, r22100, MPFR_RNDN);
        mpfr_add(r22102, r22098, r22101, MPFR_RNDN);
        return mpfr_get_d(r22102, MPFR_RNDN);
}