#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 r16043 = b_2F2;
        float r16044 = -r16043;
        float r16045 = r16043 * r16043;
        float r16046 = a;
        float r16047 = c;
        float r16048 = r16046 * r16047;
        float r16049 = r16045 - r16048;
        float r16050 = sqrt(r16049);
        float r16051 = r16044 - r16050;
        float r16052 = r16051 / r16046;
        return r16052;
}

double f_id(double a, double b_2F2, double c) {
        double r16053 = b_2F2;
        double r16054 = -r16053;
        double r16055 = r16053 * r16053;
        double r16056 = a;
        double r16057 = c;
        double r16058 = r16056 * r16057;
        double r16059 = r16055 - r16058;
        double r16060 = sqrt(r16059);
        double r16061 = r16054 - r16060;
        double r16062 = r16061 / r16056;
        return r16062;
}


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

double f_od(double a, double b_2F2, double c) {
        double r16074 = a;
        double r16075 = c;
        double r16076 = r16074 * r16075;
        double r16077 = b_2F2;
        double r16078 = -r16077;
        double r16079 = r16077 * r16077;
        double r16080 = r16079 - r16076;
        double r16081 = sqrt(r16080);
        double r16082 = r16078 + r16081;
        double r16083 = r16076 / r16082;
        double r16084 = r16083 / r16074;
        return r16084;
}

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 r16085, r16086, r16087, r16088, r16089, r16090, r16091, r16092, r16093, r16094;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16085);
        mpfr_init(r16086);
        mpfr_init(r16087);
        mpfr_init(r16088);
        mpfr_init(r16089);
        mpfr_init(r16090);
        mpfr_init(r16091);
        mpfr_init(r16092);
        mpfr_init(r16093);
        mpfr_init(r16094);
}

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

static mpfr_t r16095, r16096, r16097, r16098, r16099, r16100, r16101, r16102, r16103, r16104, r16105;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16095);
        mpfr_init(r16096);
        mpfr_init(r16097);
        mpfr_init(r16098);
        mpfr_init(r16099);
        mpfr_init(r16100);
        mpfr_init(r16101);
        mpfr_init(r16102);
        mpfr_init(r16103);
        mpfr_init(r16104);
        mpfr_init(r16105);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16095, a, MPFR_RNDN);
        mpfr_set_d(r16096, c, MPFR_RNDN);
        mpfr_mul(r16097, r16095, r16096, MPFR_RNDN);
        mpfr_set_d(r16098, b_2F2, MPFR_RNDN);
        mpfr_neg(r16099, r16098, MPFR_RNDN);
        mpfr_sqr(r16100, r16098, MPFR_RNDN);
        mpfr_sub(r16101, r16100, r16097, MPFR_RNDN);
        mpfr_sqrt(r16102, r16101, MPFR_RNDN);
        mpfr_add(r16103, r16099, r16102, MPFR_RNDN);
        mpfr_div(r16104, r16097, r16103, MPFR_RNDN);
        mpfr_div(r16105, r16104, r16095, MPFR_RNDN);
        return mpfr_get_d(r16105, MPFR_RNDN);
}

static mpfr_t r16106, r16107, r16108, r16109, r16110, r16111, r16112, r16113, r16114, r16115, r16116;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16106);
        mpfr_init(r16107);
        mpfr_init(r16108);
        mpfr_init(r16109);
        mpfr_init(r16110);
        mpfr_init(r16111);
        mpfr_init(r16112);
        mpfr_init(r16113);
        mpfr_init(r16114);
        mpfr_init(r16115);
        mpfr_init(r16116);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16106, a, MPFR_RNDN);
        mpfr_set_d(r16107, c, MPFR_RNDN);
        mpfr_mul(r16108, r16106, r16107, MPFR_RNDN);
        mpfr_set_d(r16109, b_2F2, MPFR_RNDN);
        mpfr_neg(r16110, r16109, MPFR_RNDN);
        mpfr_sqr(r16111, r16109, MPFR_RNDN);
        mpfr_sub(r16112, r16111, r16108, MPFR_RNDN);
        mpfr_sqrt(r16113, r16112, MPFR_RNDN);
        mpfr_add(r16114, r16110, r16113, MPFR_RNDN);
        mpfr_div(r16115, r16108, r16114, MPFR_RNDN);
        mpfr_div(r16116, r16115, r16106, MPFR_RNDN);
        return mpfr_get_d(r16116, MPFR_RNDN);
}