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

char *name = "NMSE problem 3.2.1";

double f_if(float a, float b_2F2, float c) {
        float r16024 = b_2F2;
        float r16025 = -r16024;
        float r16026 = r16024 * r16024;
        float r16027 = a;
        float r16028 = c;
        float r16029 = r16027 * r16028;
        float r16030 = r16026 - r16029;
        float r16031 = sqrt(r16030);
        float r16032 = r16025 - r16031;
        float r16033 = r16032 / r16027;
        return r16033;
}

double f_id(double a, double b_2F2, double c) {
        double r16034 = b_2F2;
        double r16035 = -r16034;
        double r16036 = r16034 * r16034;
        double r16037 = a;
        double r16038 = c;
        double r16039 = r16037 * r16038;
        double r16040 = r16036 - r16039;
        double r16041 = sqrt(r16040);
        double r16042 = r16035 - r16041;
        double r16043 = r16042 / r16037;
        return r16043;
}


double f_of(float a, float b_2F2, float c) {
        float r16044 = a;
        float r16045 = c;
        float r16046 = r16044 * r16045;
        float r16047 = b_2F2;
        float r16048 = -r16047;
        float r16049 = r16047 * r16047;
        float r16050 = r16049 - r16046;
        float r16051 = sqrt(r16050);
        float r16052 = r16048 + r16051;
        float r16053 = r16046 / r16052;
        float r16054 = r16053 / r16044;
        return r16054;
}

double f_od(double a, double b_2F2, double c) {
        double r16055 = a;
        double r16056 = c;
        double r16057 = r16055 * r16056;
        double r16058 = b_2F2;
        double r16059 = -r16058;
        double r16060 = r16058 * r16058;
        double r16061 = r16060 - r16057;
        double r16062 = sqrt(r16061);
        double r16063 = r16059 + r16062;
        double r16064 = r16057 / r16063;
        double r16065 = r16064 / r16055;
        return r16065;
}

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 r16066, r16067, r16068, r16069, r16070, r16071, r16072, r16073, r16074, r16075;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16066);
        mpfr_init(r16067);
        mpfr_init(r16068);
        mpfr_init(r16069);
        mpfr_init(r16070);
        mpfr_init(r16071);
        mpfr_init(r16072);
        mpfr_init(r16073);
        mpfr_init(r16074);
        mpfr_init(r16075);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16066, b_2F2, MPFR_RNDN);
        mpfr_neg(r16067, r16066, MPFR_RNDN);
        mpfr_sqr(r16068, r16066, MPFR_RNDN);
        mpfr_set_d(r16069, a, MPFR_RNDN);
        mpfr_set_d(r16070, c, MPFR_RNDN);
        mpfr_mul(r16071, r16069, r16070, MPFR_RNDN);
        mpfr_sub(r16072, r16068, r16071, MPFR_RNDN);
        mpfr_sqrt(r16073, r16072, MPFR_RNDN);
        mpfr_sub(r16074, r16067, r16073, MPFR_RNDN);
        mpfr_div(r16075, r16074, r16069, MPFR_RNDN);
        return mpfr_get_d(r16075, MPFR_RNDN);
}

static mpfr_t r16076, r16077, r16078, r16079, r16080, r16081, r16082, r16083, r16084, r16085, r16086;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16076);
        mpfr_init(r16077);
        mpfr_init(r16078);
        mpfr_init(r16079);
        mpfr_init(r16080);
        mpfr_init(r16081);
        mpfr_init(r16082);
        mpfr_init(r16083);
        mpfr_init(r16084);
        mpfr_init(r16085);
        mpfr_init(r16086);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16076, a, MPFR_RNDN);
        mpfr_set_d(r16077, c, MPFR_RNDN);
        mpfr_mul(r16078, r16076, r16077, MPFR_RNDN);
        mpfr_set_d(r16079, b_2F2, MPFR_RNDN);
        mpfr_neg(r16080, r16079, MPFR_RNDN);
        mpfr_sqr(r16081, r16079, MPFR_RNDN);
        mpfr_sub(r16082, r16081, r16078, MPFR_RNDN);
        mpfr_sqrt(r16083, r16082, MPFR_RNDN);
        mpfr_add(r16084, r16080, r16083, MPFR_RNDN);
        mpfr_div(r16085, r16078, r16084, MPFR_RNDN);
        mpfr_div(r16086, r16085, r16076, MPFR_RNDN);
        return mpfr_get_d(r16086, MPFR_RNDN);
}

static mpfr_t r16087, r16088, r16089, r16090, r16091, r16092, r16093, r16094, r16095, r16096, r16097;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16087);
        mpfr_init(r16088);
        mpfr_init(r16089);
        mpfr_init(r16090);
        mpfr_init(r16091);
        mpfr_init(r16092);
        mpfr_init(r16093);
        mpfr_init(r16094);
        mpfr_init(r16095);
        mpfr_init(r16096);
        mpfr_init(r16097);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16087, a, MPFR_RNDN);
        mpfr_set_d(r16088, c, MPFR_RNDN);
        mpfr_mul(r16089, r16087, r16088, MPFR_RNDN);
        mpfr_set_d(r16090, b_2F2, MPFR_RNDN);
        mpfr_neg(r16091, r16090, MPFR_RNDN);
        mpfr_sqr(r16092, r16090, MPFR_RNDN);
        mpfr_sub(r16093, r16092, r16089, MPFR_RNDN);
        mpfr_sqrt(r16094, r16093, MPFR_RNDN);
        mpfr_add(r16095, r16091, r16094, MPFR_RNDN);
        mpfr_div(r16096, r16089, r16095, MPFR_RNDN);
        mpfr_div(r16097, r16096, r16087, MPFR_RNDN);
        return mpfr_get_d(r16097, MPFR_RNDN);
}