#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.2.1, positive";

double f_if(float a, float b_2F2, float c) {
        float r15207 = b_2F2;
        float r15208 = -r15207;
        float r15209 = r15207 * r15207;
        float r15210 = a;
        float r15211 = c;
        float r15212 = r15210 * r15211;
        float r15213 = r15209 - r15212;
        float r15214 = sqrt(r15213);
        float r15215 = r15208 + r15214;
        float r15216 = r15215 / r15210;
        return r15216;
}

double f_id(double a, double b_2F2, double c) {
        double r15217 = b_2F2;
        double r15218 = -r15217;
        double r15219 = r15217 * r15217;
        double r15220 = a;
        double r15221 = c;
        double r15222 = r15220 * r15221;
        double r15223 = r15219 - r15222;
        double r15224 = sqrt(r15223);
        double r15225 = r15218 + r15224;
        double r15226 = r15225 / r15220;
        return r15226;
}


double f_of(float a, float b_2F2, float c) {
        float r15227 = b_2F2;
        float r15228 = -r15227;
        float r15229 = r15227 * r15227;
        float r15230 = a;
        float r15231 = c;
        float r15232 = r15230 * r15231;
        float r15233 = r15229 - r15232;
        float r15234 = sqrt(r15233);
        float r15235 = r15228 + r15234;
        float r15236 = r15235 / r15230;
        return r15236;
}

double f_od(double a, double b_2F2, double c) {
        double r15237 = b_2F2;
        double r15238 = -r15237;
        double r15239 = r15237 * r15237;
        double r15240 = a;
        double r15241 = c;
        double r15242 = r15240 * r15241;
        double r15243 = r15239 - r15242;
        double r15244 = sqrt(r15243);
        double r15245 = r15238 + r15244;
        double r15246 = r15245 / r15240;
        return r15246;
}

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 r15247, r15248, r15249, r15250, r15251, r15252, r15253, r15254, r15255, r15256;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15247);
        mpfr_init(r15248);
        mpfr_init(r15249);
        mpfr_init(r15250);
        mpfr_init(r15251);
        mpfr_init(r15252);
        mpfr_init(r15253);
        mpfr_init(r15254);
        mpfr_init(r15255);
        mpfr_init(r15256);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r15247, b_2F2, MPFR_RNDN);
        mpfr_neg(r15248, r15247, MPFR_RNDN);
        mpfr_sqr(r15249, r15247, MPFR_RNDN);
        mpfr_set_d(r15250, a, MPFR_RNDN);
        mpfr_set_d(r15251, c, MPFR_RNDN);
        mpfr_mul(r15252, r15250, r15251, MPFR_RNDN);
        mpfr_sub(r15253, r15249, r15252, MPFR_RNDN);
        mpfr_sqrt(r15254, r15253, MPFR_RNDN);
        mpfr_add(r15255, r15248, r15254, MPFR_RNDN);
        mpfr_div(r15256, r15255, r15250, MPFR_RNDN);
        return mpfr_get_d(r15256, MPFR_RNDN);
}

static mpfr_t r15257, r15258, r15259, r15260, r15261, r15262, r15263, r15264, r15265, r15266;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15257);
        mpfr_init(r15258);
        mpfr_init(r15259);
        mpfr_init(r15260);
        mpfr_init(r15261);
        mpfr_init(r15262);
        mpfr_init(r15263);
        mpfr_init(r15264);
        mpfr_init(r15265);
        mpfr_init(r15266);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r15257, b_2F2, MPFR_RNDN);
        mpfr_neg(r15258, r15257, MPFR_RNDN);
        mpfr_sqr(r15259, r15257, MPFR_RNDN);
        mpfr_set_d(r15260, a, MPFR_RNDN);
        mpfr_set_d(r15261, c, MPFR_RNDN);
        mpfr_mul(r15262, r15260, r15261, MPFR_RNDN);
        mpfr_sub(r15263, r15259, r15262, MPFR_RNDN);
        mpfr_sqrt(r15264, r15263, MPFR_RNDN);
        mpfr_add(r15265, r15258, r15264, MPFR_RNDN);
        mpfr_div(r15266, r15265, r15260, MPFR_RNDN);
        return mpfr_get_d(r15266, MPFR_RNDN);
}

static mpfr_t r15267, r15268, r15269, r15270, r15271, r15272, r15273, r15274, r15275, r15276;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15267);
        mpfr_init(r15268);
        mpfr_init(r15269);
        mpfr_init(r15270);
        mpfr_init(r15271);
        mpfr_init(r15272);
        mpfr_init(r15273);
        mpfr_init(r15274);
        mpfr_init(r15275);
        mpfr_init(r15276);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r15267, b_2F2, MPFR_RNDN);
        mpfr_neg(r15268, r15267, MPFR_RNDN);
        mpfr_sqr(r15269, r15267, MPFR_RNDN);
        mpfr_set_d(r15270, a, MPFR_RNDN);
        mpfr_set_d(r15271, c, MPFR_RNDN);
        mpfr_mul(r15272, r15270, r15271, MPFR_RNDN);
        mpfr_sub(r15273, r15269, r15272, MPFR_RNDN);
        mpfr_sqrt(r15274, r15273, MPFR_RNDN);
        mpfr_add(r15275, r15268, r15274, MPFR_RNDN);
        mpfr_div(r15276, r15275, r15270, MPFR_RNDN);
        return mpfr_get_d(r15276, MPFR_RNDN);
}