#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 r16035 = b_2F2;
        float r16036 = -r16035;
        float r16037 = r16035 * r16035;
        float r16038 = a;
        float r16039 = c;
        float r16040 = r16038 * r16039;
        float r16041 = r16037 - r16040;
        float r16042 = sqrt(r16041);
        float r16043 = r16036 - r16042;
        float r16044 = r16043 / r16038;
        return r16044;
}

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


double f_of(float a, float b_2F2, float c) {
        float r16055 = a;
        float r16056 = 1.0f;
        float r16057 = r16055 / r16056;
        float r16058 = c;
        float r16059 = b_2F2;
        float r16060 = -r16059;
        float r16061 = r16059 * r16059;
        float r16062 = r16055 * r16058;
        float r16063 = r16061 - r16062;
        float r16064 = sqrt(r16063);
        float r16065 = r16060 + r16064;
        float r16066 = r16058 / r16065;
        float r16067 = r16057 * r16066;
        float r16068 = r16067 / r16055;
        return r16068;
}

double f_od(double a, double b_2F2, double c) {
        double r16069 = a;
        double r16070 = 1.0;
        double r16071 = r16069 / r16070;
        double r16072 = c;
        double r16073 = b_2F2;
        double r16074 = -r16073;
        double r16075 = r16073 * r16073;
        double r16076 = r16069 * r16072;
        double r16077 = r16075 - r16076;
        double r16078 = sqrt(r16077);
        double r16079 = r16074 + r16078;
        double r16080 = r16072 / r16079;
        double r16081 = r16071 * r16080;
        double r16082 = r16081 / r16069;
        return r16082;
}

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 r16083, r16084, r16085, r16086, r16087, r16088, r16089, r16090, r16091, r16092;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16083);
        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);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16083, b_2F2, MPFR_RNDN);
        mpfr_neg(r16084, r16083, MPFR_RNDN);
        mpfr_sqr(r16085, r16083, MPFR_RNDN);
        mpfr_set_d(r16086, a, MPFR_RNDN);
        mpfr_set_d(r16087, c, MPFR_RNDN);
        mpfr_mul(r16088, r16086, r16087, MPFR_RNDN);
        mpfr_sub(r16089, r16085, r16088, MPFR_RNDN);
        mpfr_sqrt(r16090, r16089, MPFR_RNDN);
        mpfr_sub(r16091, r16084, r16090, MPFR_RNDN);
        mpfr_div(r16092, r16091, r16086, MPFR_RNDN);
        return mpfr_get_d(r16092, MPFR_RNDN);
}

static mpfr_t r16093, r16094, r16095, r16096, r16097, r16098, r16099, r16100, r16101, r16102, r16103, r16104, r16105, r16106;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16093);
        mpfr_init_set_str(r16094, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r16106);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16093, a, MPFR_RNDN);
        ;
        mpfr_div(r16095, r16093, r16094, MPFR_RNDN);
        mpfr_set_d(r16096, c, MPFR_RNDN);
        mpfr_set_d(r16097, b_2F2, MPFR_RNDN);
        mpfr_neg(r16098, r16097, MPFR_RNDN);
        mpfr_sqr(r16099, r16097, MPFR_RNDN);
        mpfr_mul(r16100, r16093, r16096, MPFR_RNDN);
        mpfr_sub(r16101, r16099, r16100, MPFR_RNDN);
        mpfr_sqrt(r16102, r16101, MPFR_RNDN);
        mpfr_add(r16103, r16098, r16102, MPFR_RNDN);
        mpfr_div(r16104, r16096, r16103, MPFR_RNDN);
        mpfr_mul(r16105, r16095, r16104, MPFR_RNDN);
        mpfr_div(r16106, r16105, r16093, MPFR_RNDN);
        return mpfr_get_d(r16106, MPFR_RNDN);
}

static mpfr_t r16107, r16108, r16109, r16110, r16111, r16112, r16113, r16114, r16115, r16116, r16117, r16118, r16119, r16120;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16107);
        mpfr_init_set_str(r16108, "1", 10, MPFR_RNDN);
        mpfr_init(r16109);
        mpfr_init(r16110);
        mpfr_init(r16111);
        mpfr_init(r16112);
        mpfr_init(r16113);
        mpfr_init(r16114);
        mpfr_init(r16115);
        mpfr_init(r16116);
        mpfr_init(r16117);
        mpfr_init(r16118);
        mpfr_init(r16119);
        mpfr_init(r16120);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16107, a, MPFR_RNDN);
        ;
        mpfr_div(r16109, r16107, r16108, MPFR_RNDN);
        mpfr_set_d(r16110, c, MPFR_RNDN);
        mpfr_set_d(r16111, b_2F2, MPFR_RNDN);
        mpfr_neg(r16112, r16111, MPFR_RNDN);
        mpfr_sqr(r16113, r16111, MPFR_RNDN);
        mpfr_mul(r16114, r16107, r16110, MPFR_RNDN);
        mpfr_sub(r16115, r16113, r16114, MPFR_RNDN);
        mpfr_sqrt(r16116, r16115, MPFR_RNDN);
        mpfr_add(r16117, r16112, r16116, MPFR_RNDN);
        mpfr_div(r16118, r16110, r16117, MPFR_RNDN);
        mpfr_mul(r16119, r16109, r16118, MPFR_RNDN);
        mpfr_div(r16120, r16119, r16107, MPFR_RNDN);
        return mpfr_get_d(r16120, MPFR_RNDN);
}