#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 r15131 = b_2F2;
        float r15132 = -r15131;
        float r15133 = r15131 * r15131;
        float r15134 = a;
        float r15135 = c;
        float r15136 = r15134 * r15135;
        float r15137 = r15133 - r15136;
        float r15138 = sqrt(r15137);
        float r15139 = r15132 + r15138;
        float r15140 = r15139 / r15134;
        return r15140;
}

double f_id(double a, double b_2F2, double c) {
        double r15141 = b_2F2;
        double r15142 = -r15141;
        double r15143 = r15141 * r15141;
        double r15144 = a;
        double r15145 = c;
        double r15146 = r15144 * r15145;
        double r15147 = r15143 - r15146;
        double r15148 = sqrt(r15147);
        double r15149 = r15142 + r15148;
        double r15150 = r15149 / r15144;
        return r15150;
}


double f_of(float a, float b_2F2, float c) {
        float r15151 = a;
        float r15152 = 1.0f;
        float r15153 = r15151 / r15152;
        float r15154 = c;
        float r15155 = b_2F2;
        float r15156 = -r15155;
        float r15157 = r15155 * r15155;
        float r15158 = r15151 * r15154;
        float r15159 = r15157 - r15158;
        float r15160 = sqrt(r15159);
        float r15161 = r15156 - r15160;
        float r15162 = r15154 / r15161;
        float r15163 = r15153 * r15162;
        float r15164 = r15163 / r15151;
        return r15164;
}

double f_od(double a, double b_2F2, double c) {
        double r15165 = a;
        double r15166 = 1.0;
        double r15167 = r15165 / r15166;
        double r15168 = c;
        double r15169 = b_2F2;
        double r15170 = -r15169;
        double r15171 = r15169 * r15169;
        double r15172 = r15165 * r15168;
        double r15173 = r15171 - r15172;
        double r15174 = sqrt(r15173);
        double r15175 = r15170 - r15174;
        double r15176 = r15168 / r15175;
        double r15177 = r15167 * r15176;
        double r15178 = r15177 / r15165;
        return r15178;
}

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 r15179, r15180, r15181, r15182, r15183, r15184, r15185, r15186, r15187, r15188;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15179);
        mpfr_init(r15180);
        mpfr_init(r15181);
        mpfr_init(r15182);
        mpfr_init(r15183);
        mpfr_init(r15184);
        mpfr_init(r15185);
        mpfr_init(r15186);
        mpfr_init(r15187);
        mpfr_init(r15188);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r15179, b_2F2, MPFR_RNDN);
        mpfr_neg(r15180, r15179, MPFR_RNDN);
        mpfr_sqr(r15181, r15179, MPFR_RNDN);
        mpfr_set_d(r15182, a, MPFR_RNDN);
        mpfr_set_d(r15183, c, MPFR_RNDN);
        mpfr_mul(r15184, r15182, r15183, MPFR_RNDN);
        mpfr_sub(r15185, r15181, r15184, MPFR_RNDN);
        mpfr_sqrt(r15186, r15185, MPFR_RNDN);
        mpfr_add(r15187, r15180, r15186, MPFR_RNDN);
        mpfr_div(r15188, r15187, r15182, MPFR_RNDN);
        return mpfr_get_d(r15188, MPFR_RNDN);
}

static mpfr_t r15189, r15190, r15191, r15192, r15193, r15194, r15195, r15196, r15197, r15198, r15199, r15200, r15201, r15202;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15189);
        mpfr_init_set_str(r15190, "1", 10, MPFR_RNDN);
        mpfr_init(r15191);
        mpfr_init(r15192);
        mpfr_init(r15193);
        mpfr_init(r15194);
        mpfr_init(r15195);
        mpfr_init(r15196);
        mpfr_init(r15197);
        mpfr_init(r15198);
        mpfr_init(r15199);
        mpfr_init(r15200);
        mpfr_init(r15201);
        mpfr_init(r15202);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r15189, a, MPFR_RNDN);
        ;
        mpfr_div(r15191, r15189, r15190, MPFR_RNDN);
        mpfr_set_d(r15192, c, MPFR_RNDN);
        mpfr_set_d(r15193, b_2F2, MPFR_RNDN);
        mpfr_neg(r15194, r15193, MPFR_RNDN);
        mpfr_sqr(r15195, r15193, MPFR_RNDN);
        mpfr_mul(r15196, r15189, r15192, MPFR_RNDN);
        mpfr_sub(r15197, r15195, r15196, MPFR_RNDN);
        mpfr_sqrt(r15198, r15197, MPFR_RNDN);
        mpfr_sub(r15199, r15194, r15198, MPFR_RNDN);
        mpfr_div(r15200, r15192, r15199, MPFR_RNDN);
        mpfr_mul(r15201, r15191, r15200, MPFR_RNDN);
        mpfr_div(r15202, r15201, r15189, MPFR_RNDN);
        return mpfr_get_d(r15202, MPFR_RNDN);
}

static mpfr_t r15203, r15204, r15205, r15206, r15207, r15208, r15209, r15210, r15211, r15212, r15213, r15214, r15215, r15216;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15203);
        mpfr_init_set_str(r15204, "1", 10, MPFR_RNDN);
        mpfr_init(r15205);
        mpfr_init(r15206);
        mpfr_init(r15207);
        mpfr_init(r15208);
        mpfr_init(r15209);
        mpfr_init(r15210);
        mpfr_init(r15211);
        mpfr_init(r15212);
        mpfr_init(r15213);
        mpfr_init(r15214);
        mpfr_init(r15215);
        mpfr_init(r15216);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r15203, a, MPFR_RNDN);
        ;
        mpfr_div(r15205, r15203, r15204, MPFR_RNDN);
        mpfr_set_d(r15206, c, MPFR_RNDN);
        mpfr_set_d(r15207, b_2F2, MPFR_RNDN);
        mpfr_neg(r15208, r15207, MPFR_RNDN);
        mpfr_sqr(r15209, r15207, MPFR_RNDN);
        mpfr_mul(r15210, r15203, r15206, MPFR_RNDN);
        mpfr_sub(r15211, r15209, r15210, MPFR_RNDN);
        mpfr_sqrt(r15212, r15211, MPFR_RNDN);
        mpfr_sub(r15213, r15208, r15212, MPFR_RNDN);
        mpfr_div(r15214, r15206, r15213, MPFR_RNDN);
        mpfr_mul(r15215, r15205, r15214, MPFR_RNDN);
        mpfr_div(r15216, r15215, r15203, MPFR_RNDN);
        return mpfr_get_d(r15216, MPFR_RNDN);
}

