#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 r16083 = b_2F2;
        float r16084 = -r16083;
        float r16085 = r16083 * r16083;
        float r16086 = a;
        float r16087 = c;
        float r16088 = r16086 * r16087;
        float r16089 = r16085 - r16088;
        float r16090 = sqrt(r16089);
        float r16091 = r16084 - r16090;
        float r16092 = r16091 / r16086;
        return r16092;
}

double f_id(double a, double b_2F2, double c) {
        double r16093 = b_2F2;
        double r16094 = -r16093;
        double r16095 = r16093 * r16093;
        double r16096 = a;
        double r16097 = c;
        double r16098 = r16096 * r16097;
        double r16099 = r16095 - r16098;
        double r16100 = sqrt(r16099);
        double r16101 = r16094 - r16100;
        double r16102 = r16101 / r16096;
        return r16102;
}


double f_of(float a, float b_2F2, float c) {
        float r16103 = a;
        float r16104 = 1.0f;
        float r16105 = r16103 / r16104;
        float r16106 = c;
        float r16107 = b_2F2;
        float r16108 = -r16107;
        float r16109 = r16107 * r16107;
        float r16110 = r16103 * r16106;
        float r16111 = r16109 - r16110;
        float r16112 = sqrt(r16111);
        float r16113 = r16108 + r16112;
        float r16114 = r16106 / r16113;
        float r16115 = r16105 * r16114;
        float r16116 = r16115 / r16103;
        return r16116;
}

double f_od(double a, double b_2F2, double c) {
        double r16117 = a;
        double r16118 = 1.0;
        double r16119 = r16117 / r16118;
        double r16120 = c;
        double r16121 = b_2F2;
        double r16122 = -r16121;
        double r16123 = r16121 * r16121;
        double r16124 = r16117 * r16120;
        double r16125 = r16123 - r16124;
        double r16126 = sqrt(r16125);
        double r16127 = r16122 + r16126;
        double r16128 = r16120 / r16127;
        double r16129 = r16119 * r16128;
        double r16130 = r16129 / r16117;
        return r16130;
}

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 r16131, r16132, r16133, r16134, r16135, r16136, r16137, r16138, r16139, r16140;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16131);
        mpfr_init(r16132);
        mpfr_init(r16133);
        mpfr_init(r16134);
        mpfr_init(r16135);
        mpfr_init(r16136);
        mpfr_init(r16137);
        mpfr_init(r16138);
        mpfr_init(r16139);
        mpfr_init(r16140);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16131, b_2F2, MPFR_RNDN);
        mpfr_neg(r16132, r16131, MPFR_RNDN);
        mpfr_sqr(r16133, r16131, MPFR_RNDN);
        mpfr_set_d(r16134, a, MPFR_RNDN);
        mpfr_set_d(r16135, c, MPFR_RNDN);
        mpfr_mul(r16136, r16134, r16135, MPFR_RNDN);
        mpfr_sub(r16137, r16133, r16136, MPFR_RNDN);
        mpfr_sqrt(r16138, r16137, MPFR_RNDN);
        mpfr_sub(r16139, r16132, r16138, MPFR_RNDN);
        mpfr_div(r16140, r16139, r16134, MPFR_RNDN);
        return mpfr_get_d(r16140, MPFR_RNDN);
}

static mpfr_t r16141, r16142, r16143, r16144, r16145, r16146, r16147, r16148, r16149, r16150, r16151, r16152, r16153, r16154;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16141);
        mpfr_init_set_str(r16142, "1", 10, MPFR_RNDN);
        mpfr_init(r16143);
        mpfr_init(r16144);
        mpfr_init(r16145);
        mpfr_init(r16146);
        mpfr_init(r16147);
        mpfr_init(r16148);
        mpfr_init(r16149);
        mpfr_init(r16150);
        mpfr_init(r16151);
        mpfr_init(r16152);
        mpfr_init(r16153);
        mpfr_init(r16154);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16141, a, MPFR_RNDN);
        ;
        mpfr_div(r16143, r16141, r16142, MPFR_RNDN);
        mpfr_set_d(r16144, c, MPFR_RNDN);
        mpfr_set_d(r16145, b_2F2, MPFR_RNDN);
        mpfr_neg(r16146, r16145, MPFR_RNDN);
        mpfr_sqr(r16147, r16145, MPFR_RNDN);
        mpfr_mul(r16148, r16141, r16144, MPFR_RNDN);
        mpfr_sub(r16149, r16147, r16148, MPFR_RNDN);
        mpfr_sqrt(r16150, r16149, MPFR_RNDN);
        mpfr_add(r16151, r16146, r16150, MPFR_RNDN);
        mpfr_div(r16152, r16144, r16151, MPFR_RNDN);
        mpfr_mul(r16153, r16143, r16152, MPFR_RNDN);
        mpfr_div(r16154, r16153, r16141, MPFR_RNDN);
        return mpfr_get_d(r16154, MPFR_RNDN);
}

static mpfr_t r16155, r16156, r16157, r16158, r16159, r16160, r16161, r16162, r16163, r16164, r16165, r16166, r16167, r16168;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16155);
        mpfr_init_set_str(r16156, "1", 10, MPFR_RNDN);
        mpfr_init(r16157);
        mpfr_init(r16158);
        mpfr_init(r16159);
        mpfr_init(r16160);
        mpfr_init(r16161);
        mpfr_init(r16162);
        mpfr_init(r16163);
        mpfr_init(r16164);
        mpfr_init(r16165);
        mpfr_init(r16166);
        mpfr_init(r16167);
        mpfr_init(r16168);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16155, a, MPFR_RNDN);
        ;
        mpfr_div(r16157, r16155, r16156, MPFR_RNDN);
        mpfr_set_d(r16158, c, MPFR_RNDN);
        mpfr_set_d(r16159, b_2F2, MPFR_RNDN);
        mpfr_neg(r16160, r16159, MPFR_RNDN);
        mpfr_sqr(r16161, r16159, MPFR_RNDN);
        mpfr_mul(r16162, r16155, r16158, MPFR_RNDN);
        mpfr_sub(r16163, r16161, r16162, MPFR_RNDN);
        mpfr_sqrt(r16164, r16163, MPFR_RNDN);
        mpfr_add(r16165, r16160, r16164, MPFR_RNDN);
        mpfr_div(r16166, r16158, r16165, MPFR_RNDN);
        mpfr_mul(r16167, r16157, r16166, MPFR_RNDN);
        mpfr_div(r16168, r16167, r16155, MPFR_RNDN);
        return mpfr_get_d(r16168, MPFR_RNDN);
}