#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 r16102 = b_2F2;
        float r16103 = -r16102;
        float r16104 = r16102 * r16102;
        float r16105 = a;
        float r16106 = c;
        float r16107 = r16105 * r16106;
        float r16108 = r16104 - r16107;
        float r16109 = sqrt(r16108);
        float r16110 = r16103 - r16109;
        float r16111 = r16110 / r16105;
        return r16111;
}

double f_id(double a, double b_2F2, double c) {
        double r16112 = b_2F2;
        double r16113 = -r16112;
        double r16114 = r16112 * r16112;
        double r16115 = a;
        double r16116 = c;
        double r16117 = r16115 * r16116;
        double r16118 = r16114 - r16117;
        double r16119 = sqrt(r16118);
        double r16120 = r16113 - r16119;
        double r16121 = r16120 / r16115;
        return r16121;
}


double f_of(float a, float b_2F2, float c) {
        float r16122 = b_2F2;
        float r16123 = -r16122;
        float r16124 = a;
        float r16125 = r16123 / r16124;
        float r16126 = r16122 * r16122;
        float r16127 = c;
        float r16128 = r16124 * r16127;
        float r16129 = r16126 - r16128;
        float r16130 = sqrt(r16129);
        float r16131 = r16130 / r16124;
        float r16132 = r16125 - r16131;
        return r16132;
}

double f_od(double a, double b_2F2, double c) {
        double r16133 = b_2F2;
        double r16134 = -r16133;
        double r16135 = a;
        double r16136 = r16134 / r16135;
        double r16137 = r16133 * r16133;
        double r16138 = c;
        double r16139 = r16135 * r16138;
        double r16140 = r16137 - r16139;
        double r16141 = sqrt(r16140);
        double r16142 = r16141 / r16135;
        double r16143 = r16136 - r16142;
        return r16143;
}

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 r16144, r16145, r16146, r16147, r16148, r16149, r16150, r16151, r16152, r16153;

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

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

static mpfr_t r16154, r16155, r16156, r16157, r16158, r16159, r16160, r16161, r16162, r16163, r16164;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16154);
        mpfr_init(r16155);
        mpfr_init(r16156);
        mpfr_init(r16157);
        mpfr_init(r16158);
        mpfr_init(r16159);
        mpfr_init(r16160);
        mpfr_init(r16161);
        mpfr_init(r16162);
        mpfr_init(r16163);
        mpfr_init(r16164);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16154, b_2F2, MPFR_RNDN);
        mpfr_neg(r16155, r16154, MPFR_RNDN);
        mpfr_set_d(r16156, a, MPFR_RNDN);
        mpfr_div(r16157, r16155, r16156, MPFR_RNDN);
        mpfr_sqr(r16158, r16154, MPFR_RNDN);
        mpfr_set_d(r16159, c, MPFR_RNDN);
        mpfr_mul(r16160, r16156, r16159, MPFR_RNDN);
        mpfr_sub(r16161, r16158, r16160, MPFR_RNDN);
        mpfr_sqrt(r16162, r16161, MPFR_RNDN);
        mpfr_div(r16163, r16162, r16156, MPFR_RNDN);
        mpfr_sub(r16164, r16157, r16163, MPFR_RNDN);
        return mpfr_get_d(r16164, MPFR_RNDN);
}

static mpfr_t r16165, r16166, r16167, r16168, r16169, r16170, r16171, r16172, r16173, r16174, r16175;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16165);
        mpfr_init(r16166);
        mpfr_init(r16167);
        mpfr_init(r16168);
        mpfr_init(r16169);
        mpfr_init(r16170);
        mpfr_init(r16171);
        mpfr_init(r16172);
        mpfr_init(r16173);
        mpfr_init(r16174);
        mpfr_init(r16175);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16165, b_2F2, MPFR_RNDN);
        mpfr_neg(r16166, r16165, MPFR_RNDN);
        mpfr_set_d(r16167, a, MPFR_RNDN);
        mpfr_div(r16168, r16166, r16167, MPFR_RNDN);
        mpfr_sqr(r16169, r16165, MPFR_RNDN);
        mpfr_set_d(r16170, c, MPFR_RNDN);
        mpfr_mul(r16171, r16167, r16170, MPFR_RNDN);
        mpfr_sub(r16172, r16169, r16171, MPFR_RNDN);
        mpfr_sqrt(r16173, r16172, MPFR_RNDN);
        mpfr_div(r16174, r16173, r16167, MPFR_RNDN);
        mpfr_sub(r16175, r16168, r16174, MPFR_RNDN);
        return mpfr_get_d(r16175, MPFR_RNDN);
}