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

char *name = "NMSE problem 3.4.1";

double f_if(float x) {
        float r15115 = 1.0f;
        float r15116 = x;
        float r15117 = cos(r15116);
        float r15118 = r15115 - r15117;
        float r15119 = r15116 * r15116;
        float r15120 = r15118 / r15119;
        return r15120;
}

double f_id(double x) {
        double r15121 = 1.0;
        double r15122 = x;
        double r15123 = cos(r15122);
        double r15124 = r15121 - r15123;
        double r15125 = r15122 * r15122;
        double r15126 = r15124 / r15125;
        return r15126;
}


double f_of(float x) {
        float r15127 = x;
        float r15128 = sin(r15127);
        float r15129 = 1.0f;
        float r15130 = cos(r15127);
        float r15131 = r15129 + r15130;
        float r15132 = sqrt(r15131);
        float r15133 = r15128 / r15132;
        float r15134 = r15133 / r15127;
        float r15135 = r15134 * r15134;
        return r15135;
}

double f_od(double x) {
        double r15136 = x;
        double r15137 = sin(r15136);
        double r15138 = 1.0;
        double r15139 = cos(r15136);
        double r15140 = r15138 + r15139;
        double r15141 = sqrt(r15140);
        double r15142 = r15137 / r15141;
        double r15143 = r15142 / r15136;
        double r15144 = r15143 * r15143;
        return r15144;
}

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 r15145, r15146, r15147, r15148, r15149, r15150;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15145, "1", 10, MPFR_RNDN);
        mpfr_init(r15146);
        mpfr_init(r15147);
        mpfr_init(r15148);
        mpfr_init(r15149);
        mpfr_init(r15150);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15146, x, MPFR_RNDN);
        mpfr_cos(r15147, r15146, MPFR_RNDN);
        mpfr_sub(r15148, r15145, r15147, MPFR_RNDN);
        mpfr_sqr(r15149, r15146, MPFR_RNDN);
        mpfr_div(r15150, r15148, r15149, MPFR_RNDN);
        return mpfr_get_d(r15150, MPFR_RNDN);
}

static mpfr_t r15151, r15152, r15153, r15154, r15155, r15156, r15157, r15158, r15159;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15151);
        mpfr_init(r15152);
        mpfr_init_set_str(r15153, "1", 10, MPFR_RNDN);
        mpfr_init(r15154);
        mpfr_init(r15155);
        mpfr_init(r15156);
        mpfr_init(r15157);
        mpfr_init(r15158);
        mpfr_init(r15159);
}

double f_fm(double x) {
        mpfr_set_d(r15151, x, MPFR_RNDN);
        mpfr_sin(r15152, r15151, MPFR_RNDN);
        ;
        mpfr_cos(r15154, r15151, MPFR_RNDN);
        mpfr_add(r15155, r15153, r15154, MPFR_RNDN);
        mpfr_sqrt(r15156, r15155, MPFR_RNDN);
        mpfr_div(r15157, r15152, r15156, MPFR_RNDN);
        mpfr_div(r15158, r15157, r15151, MPFR_RNDN);
        mpfr_sqr(r15159, r15158, MPFR_RNDN);
        return mpfr_get_d(r15159, MPFR_RNDN);
}

static mpfr_t r15160, r15161, r15162, r15163, r15164, r15165, r15166, r15167, r15168;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15160);
        mpfr_init(r15161);
        mpfr_init_set_str(r15162, "1", 10, MPFR_RNDN);
        mpfr_init(r15163);
        mpfr_init(r15164);
        mpfr_init(r15165);
        mpfr_init(r15166);
        mpfr_init(r15167);
        mpfr_init(r15168);
}

double f_dm(double x) {
        mpfr_set_d(r15160, x, MPFR_RNDN);
        mpfr_sin(r15161, r15160, MPFR_RNDN);
        ;
        mpfr_cos(r15163, r15160, MPFR_RNDN);
        mpfr_add(r15164, r15162, r15163, MPFR_RNDN);
        mpfr_sqrt(r15165, r15164, MPFR_RNDN);
        mpfr_div(r15166, r15161, r15165, MPFR_RNDN);
        mpfr_div(r15167, r15166, r15160, MPFR_RNDN);
        mpfr_sqr(r15168, r15167, MPFR_RNDN);
        return mpfr_get_d(r15168, MPFR_RNDN);
}