#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 r16027 = b_2F2;
        float r16028 = -r16027;
        float r16029 = r16027 * r16027;
        float r16030 = a;
        float r16031 = c;
        float r16032 = r16030 * r16031;
        float r16033 = r16029 - r16032;
        float r16034 = sqrt(r16033);
        float r16035 = r16028 - r16034;
        float r16036 = r16035 / r16030;
        return r16036;
}

double f_id(double a, double b_2F2, double c) {
        double r16037 = b_2F2;
        double r16038 = -r16037;
        double r16039 = r16037 * r16037;
        double r16040 = a;
        double r16041 = c;
        double r16042 = r16040 * r16041;
        double r16043 = r16039 - r16042;
        double r16044 = sqrt(r16043);
        double r16045 = r16038 - r16044;
        double r16046 = r16045 / r16040;
        return r16046;
}


double f_of(float a, float b_2F2, float c) {
        float r16047 = a;
        float r16048 = 1.0f;
        float r16049 = r16047 / r16048;
        float r16050 = c;
        float r16051 = b_2F2;
        float r16052 = -r16051;
        float r16053 = r16051 * r16051;
        float r16054 = r16047 * r16050;
        float r16055 = r16053 - r16054;
        float r16056 = sqrt(r16055);
        float r16057 = r16052 + r16056;
        float r16058 = r16050 / r16057;
        float r16059 = r16049 * r16058;
        float r16060 = r16059 / r16047;
        return r16060;
}

double f_od(double a, double b_2F2, double c) {
        double r16061 = a;
        double r16062 = 1.0;
        double r16063 = r16061 / r16062;
        double r16064 = c;
        double r16065 = b_2F2;
        double r16066 = -r16065;
        double r16067 = r16065 * r16065;
        double r16068 = r16061 * r16064;
        double r16069 = r16067 - r16068;
        double r16070 = sqrt(r16069);
        double r16071 = r16066 + r16070;
        double r16072 = r16064 / r16071;
        double r16073 = r16063 * r16072;
        double r16074 = r16073 / r16061;
        return r16074;
}

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 r16075, r16076, r16077, r16078, r16079, r16080, r16081, r16082, r16083, r16084;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16075);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16075, b_2F2, MPFR_RNDN);
        mpfr_neg(r16076, r16075, MPFR_RNDN);
        mpfr_sqr(r16077, r16075, MPFR_RNDN);
        mpfr_set_d(r16078, a, MPFR_RNDN);
        mpfr_set_d(r16079, c, MPFR_RNDN);
        mpfr_mul(r16080, r16078, r16079, MPFR_RNDN);
        mpfr_sub(r16081, r16077, r16080, MPFR_RNDN);
        mpfr_sqrt(r16082, r16081, MPFR_RNDN);
        mpfr_sub(r16083, r16076, r16082, MPFR_RNDN);
        mpfr_div(r16084, r16083, r16078, MPFR_RNDN);
        return mpfr_get_d(r16084, MPFR_RNDN);
}

static mpfr_t r16085, r16086, r16087, r16088, r16089, r16090, r16091, r16092, r16093, r16094, r16095, r16096, r16097, r16098;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16085);
        mpfr_init_set_str(r16086, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r16098);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16085, a, MPFR_RNDN);
        ;
        mpfr_div(r16087, r16085, r16086, MPFR_RNDN);
        mpfr_set_d(r16088, c, MPFR_RNDN);
        mpfr_set_d(r16089, b_2F2, MPFR_RNDN);
        mpfr_neg(r16090, r16089, MPFR_RNDN);
        mpfr_sqr(r16091, r16089, MPFR_RNDN);
        mpfr_mul(r16092, r16085, r16088, MPFR_RNDN);
        mpfr_sub(r16093, r16091, r16092, MPFR_RNDN);
        mpfr_sqrt(r16094, r16093, MPFR_RNDN);
        mpfr_add(r16095, r16090, r16094, MPFR_RNDN);
        mpfr_div(r16096, r16088, r16095, MPFR_RNDN);
        mpfr_mul(r16097, r16087, r16096, MPFR_RNDN);
        mpfr_div(r16098, r16097, r16085, MPFR_RNDN);
        return mpfr_get_d(r16098, MPFR_RNDN);
}

static mpfr_t r16099, r16100, r16101, r16102, r16103, r16104, r16105, r16106, r16107, r16108, r16109, r16110, r16111, r16112;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16099);
        mpfr_init_set_str(r16100, "1", 10, MPFR_RNDN);
        mpfr_init(r16101);
        mpfr_init(r16102);
        mpfr_init(r16103);
        mpfr_init(r16104);
        mpfr_init(r16105);
        mpfr_init(r16106);
        mpfr_init(r16107);
        mpfr_init(r16108);
        mpfr_init(r16109);
        mpfr_init(r16110);
        mpfr_init(r16111);
        mpfr_init(r16112);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16099, a, MPFR_RNDN);
        ;
        mpfr_div(r16101, r16099, r16100, MPFR_RNDN);
        mpfr_set_d(r16102, c, MPFR_RNDN);
        mpfr_set_d(r16103, b_2F2, MPFR_RNDN);
        mpfr_neg(r16104, r16103, MPFR_RNDN);
        mpfr_sqr(r16105, r16103, MPFR_RNDN);
        mpfr_mul(r16106, r16099, r16102, MPFR_RNDN);
        mpfr_sub(r16107, r16105, r16106, MPFR_RNDN);
        mpfr_sqrt(r16108, r16107, MPFR_RNDN);
        mpfr_add(r16109, r16104, r16108, MPFR_RNDN);
        mpfr_div(r16110, r16102, r16109, MPFR_RNDN);
        mpfr_mul(r16111, r16101, r16110, MPFR_RNDN);
        mpfr_div(r16112, r16111, r16099, MPFR_RNDN);
        return mpfr_get_d(r16112, MPFR_RNDN);
}