#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 r16042 = b_2F2;
        float r16043 = -r16042;
        float r16044 = r16042 * r16042;
        float r16045 = a;
        float r16046 = c;
        float r16047 = r16045 * r16046;
        float r16048 = r16044 - r16047;
        float r16049 = sqrt(r16048);
        float r16050 = r16043 - r16049;
        float r16051 = r16050 / r16045;
        return r16051;
}

double f_id(double a, double b_2F2, double c) {
        double r16052 = b_2F2;
        double r16053 = -r16052;
        double r16054 = r16052 * r16052;
        double r16055 = a;
        double r16056 = c;
        double r16057 = r16055 * r16056;
        double r16058 = r16054 - r16057;
        double r16059 = sqrt(r16058);
        double r16060 = r16053 - r16059;
        double r16061 = r16060 / r16055;
        return r16061;
}


double f_of(float a, float b_2F2, float c) {
        float r16062 = b_2F2;
        float r16063 = -r16062;
        float r16064 = a;
        float r16065 = r16063 / r16064;
        float r16066 = r16062 * r16062;
        float r16067 = c;
        float r16068 = r16064 * r16067;
        float r16069 = r16066 - r16068;
        float r16070 = sqrt(r16069);
        float r16071 = r16070 / r16064;
        float r16072 = r16065 - r16071;
        return r16072;
}

double f_od(double a, double b_2F2, double c) {
        double r16073 = b_2F2;
        double r16074 = -r16073;
        double r16075 = a;
        double r16076 = r16074 / r16075;
        double r16077 = r16073 * r16073;
        double r16078 = c;
        double r16079 = r16075 * r16078;
        double r16080 = r16077 - r16079;
        double r16081 = sqrt(r16080);
        double r16082 = r16081 / r16075;
        double r16083 = r16076 - r16082;
        return r16083;
}

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 r16084, r16085, r16086, r16087, r16088, r16089, r16090, r16091, r16092, r16093;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16084);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16084, b_2F2, MPFR_RNDN);
        mpfr_neg(r16085, r16084, MPFR_RNDN);
        mpfr_sqr(r16086, r16084, MPFR_RNDN);
        mpfr_set_d(r16087, a, MPFR_RNDN);
        mpfr_set_d(r16088, c, MPFR_RNDN);
        mpfr_mul(r16089, r16087, r16088, MPFR_RNDN);
        mpfr_sub(r16090, r16086, r16089, MPFR_RNDN);
        mpfr_sqrt(r16091, r16090, MPFR_RNDN);
        mpfr_sub(r16092, r16085, r16091, MPFR_RNDN);
        mpfr_div(r16093, r16092, r16087, MPFR_RNDN);
        return mpfr_get_d(r16093, MPFR_RNDN);
}

static mpfr_t r16094, r16095, r16096, r16097, r16098, r16099, r16100, r16101, r16102, r16103, r16104;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16094);
        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);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16094, b_2F2, MPFR_RNDN);
        mpfr_neg(r16095, r16094, MPFR_RNDN);
        mpfr_set_d(r16096, a, MPFR_RNDN);
        mpfr_div(r16097, r16095, r16096, MPFR_RNDN);
        mpfr_sqr(r16098, r16094, MPFR_RNDN);
        mpfr_set_d(r16099, c, MPFR_RNDN);
        mpfr_mul(r16100, r16096, r16099, MPFR_RNDN);
        mpfr_sub(r16101, r16098, r16100, MPFR_RNDN);
        mpfr_sqrt(r16102, r16101, MPFR_RNDN);
        mpfr_div(r16103, r16102, r16096, MPFR_RNDN);
        mpfr_sub(r16104, r16097, r16103, MPFR_RNDN);
        return mpfr_get_d(r16104, MPFR_RNDN);
}

static mpfr_t r16105, r16106, r16107, r16108, r16109, r16110, r16111, r16112, r16113, r16114, r16115;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16105);
        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);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16105, b_2F2, MPFR_RNDN);
        mpfr_neg(r16106, r16105, MPFR_RNDN);
        mpfr_set_d(r16107, a, MPFR_RNDN);
        mpfr_div(r16108, r16106, r16107, MPFR_RNDN);
        mpfr_sqr(r16109, r16105, MPFR_RNDN);
        mpfr_set_d(r16110, c, MPFR_RNDN);
        mpfr_mul(r16111, r16107, r16110, MPFR_RNDN);
        mpfr_sub(r16112, r16109, r16111, MPFR_RNDN);
        mpfr_sqrt(r16113, r16112, MPFR_RNDN);
        mpfr_div(r16114, r16113, r16107, MPFR_RNDN);
        mpfr_sub(r16115, r16108, r16114, MPFR_RNDN);
        return mpfr_get_d(r16115, MPFR_RNDN);
}