#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 r23172 = th;
        float r23173 = cos(r23172);
        float r23174 = 2;
        float r23175 = sqrt(r23174);
        float r23176 = r23173 / r23175;
        float r23177 = a1;
        float r23178 = r23177 * r23177;
        float r23179 = r23176 * r23178;
        float r23180 = a2;
        float r23181 = r23180 * r23180;
        float r23182 = r23176 * r23181;
        float r23183 = r23179 + r23182;
        return r23183;
}

double f_id(double a1, double a2, double th) {
        double r23184 = th;
        double r23185 = cos(r23184);
        double r23186 = 2;
        double r23187 = sqrt(r23186);
        double r23188 = r23185 / r23187;
        double r23189 = a1;
        double r23190 = r23189 * r23189;
        double r23191 = r23188 * r23190;
        double r23192 = a2;
        double r23193 = r23192 * r23192;
        double r23194 = r23188 * r23193;
        double r23195 = r23191 + r23194;
        return r23195;
}


double f_of(float a1, float a2, float th) {
        float r23196 = th;
        float r23197 = cos(r23196);
        float r23198 = 2;
        float r23199 = sqrt(r23198);
        float r23200 = r23197 / r23199;
        float r23201 = a1;
        float r23202 = r23201 * r23201;
        float r23203 = r23200 * r23202;
        float r23204 = a2;
        float r23205 = r23200 * r23204;
        float r23206 = r23205 * r23204;
        float r23207 = r23203 + r23206;
        return r23207;
}

double f_od(double a1, double a2, double th) {
        double r23208 = th;
        double r23209 = cos(r23208);
        double r23210 = 2;
        double r23211 = sqrt(r23210);
        double r23212 = r23209 / r23211;
        double r23213 = a1;
        double r23214 = r23213 * r23213;
        double r23215 = r23212 * r23214;
        double r23216 = a2;
        double r23217 = r23212 * r23216;
        double r23218 = r23217 * r23216;
        double r23219 = r23215 + r23218;
        return r23219;
}

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 r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229, r23230, r23231;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init_set_str(r23222, "2", 10, MPFR_RNDN);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23220, th, MPFR_RNDN);
        mpfr_cos(r23221, r23220, MPFR_RNDN);
        ;
        mpfr_sqrt(r23223, r23222, MPFR_RNDN);
        mpfr_div(r23224, r23221, r23223, MPFR_RNDN);
        mpfr_set_d(r23225, a1, MPFR_RNDN);
        mpfr_mul(r23226, r23225, r23225, MPFR_RNDN);
        mpfr_mul(r23227, r23224, r23226, MPFR_RNDN);
        mpfr_set_d(r23228, a2, MPFR_RNDN);
        mpfr_mul(r23229, r23228, r23228, MPFR_RNDN);
        mpfr_mul(r23230, r23224, r23229, MPFR_RNDN);
        mpfr_add(r23231, r23227, r23230, MPFR_RNDN);
        return mpfr_get_d(r23231, MPFR_RNDN);
}

static mpfr_t r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239, r23240, r23241, r23242, r23243;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init_set_str(r23234, "2", 10, MPFR_RNDN);
        mpfr_init(r23235);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
        mpfr_init(r23239);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
        mpfr_init(r23243);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23232, th, MPFR_RNDN);
        mpfr_cos(r23233, r23232, MPFR_RNDN);
        ;
        mpfr_sqrt(r23235, r23234, MPFR_RNDN);
        mpfr_div(r23236, r23233, r23235, MPFR_RNDN);
        mpfr_set_d(r23237, a1, MPFR_RNDN);
        mpfr_mul(r23238, r23237, r23237, MPFR_RNDN);
        mpfr_mul(r23239, r23236, r23238, MPFR_RNDN);
        mpfr_set_d(r23240, a2, MPFR_RNDN);
        mpfr_mul(r23241, r23236, r23240, MPFR_RNDN);
        mpfr_mul(r23242, r23241, r23240, MPFR_RNDN);
        mpfr_add(r23243, r23239, r23242, MPFR_RNDN);
        return mpfr_get_d(r23243, MPFR_RNDN);
}

static mpfr_t r23244, r23245, r23246, r23247, r23248, r23249, r23250, r23251, r23252, r23253, r23254, r23255;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23244);
        mpfr_init(r23245);
        mpfr_init_set_str(r23246, "2", 10, MPFR_RNDN);
        mpfr_init(r23247);
        mpfr_init(r23248);
        mpfr_init(r23249);
        mpfr_init(r23250);
        mpfr_init(r23251);
        mpfr_init(r23252);
        mpfr_init(r23253);
        mpfr_init(r23254);
        mpfr_init(r23255);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23244, th, MPFR_RNDN);
        mpfr_cos(r23245, r23244, MPFR_RNDN);
        ;
        mpfr_sqrt(r23247, r23246, MPFR_RNDN);
        mpfr_div(r23248, r23245, r23247, MPFR_RNDN);
        mpfr_set_d(r23249, a1, MPFR_RNDN);
        mpfr_mul(r23250, r23249, r23249, MPFR_RNDN);
        mpfr_mul(r23251, r23248, r23250, MPFR_RNDN);
        mpfr_set_d(r23252, a2, MPFR_RNDN);
        mpfr_mul(r23253, r23248, r23252, MPFR_RNDN);
        mpfr_mul(r23254, r23253, r23252, MPFR_RNDN);
        mpfr_add(r23255, r23251, r23254, MPFR_RNDN);
        return mpfr_get_d(r23255, MPFR_RNDN);
}