#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 r14983 = 1.0f;
        float r14984 = x;
        float r14985 = cos(r14984);
        float r14986 = r14983 - r14985;
        float r14987 = r14984 * r14984;
        float r14988 = r14986 / r14987;
        return r14988;
}

double f_id(double x) {
        double r14989 = 1.0;
        double r14990 = x;
        double r14991 = cos(r14990);
        double r14992 = r14989 - r14991;
        double r14993 = r14990 * r14990;
        double r14994 = r14992 / r14993;
        return r14994;
}


double f_of(float x) {
        float r14995 = x;
        float r14996 = sin(r14995);
        float r14997 = 1.0f;
        float r14998 = cos(r14995);
        float r14999 = r14997 + r14998;
        float r15000 = sqrt(r14999);
        float r15001 = r14996 / r15000;
        float r15002 = r15001 / r14995;
        float r15003 = r15002 * r15002;
        return r15003;
}

double f_od(double x) {
        double r15004 = x;
        double r15005 = sin(r15004);
        double r15006 = 1.0;
        double r15007 = cos(r15004);
        double r15008 = r15006 + r15007;
        double r15009 = sqrt(r15008);
        double r15010 = r15005 / r15009;
        double r15011 = r15010 / r15004;
        double r15012 = r15011 * r15011;
        return r15012;
}

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 r15013, r15014, r15015, r15016, r15017, r15018;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15013, "1", 10, MPFR_RNDN);
        mpfr_init(r15014);
        mpfr_init(r15015);
        mpfr_init(r15016);
        mpfr_init(r15017);
        mpfr_init(r15018);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15014, x, MPFR_RNDN);
        mpfr_cos(r15015, r15014, MPFR_RNDN);
        mpfr_sub(r15016, r15013, r15015, MPFR_RNDN);
        mpfr_sqr(r15017, r15014, MPFR_RNDN);
        mpfr_div(r15018, r15016, r15017, MPFR_RNDN);
        return mpfr_get_d(r15018, MPFR_RNDN);
}

static mpfr_t r15019, r15020, r15021, r15022, r15023, r15024, r15025, r15026, r15027;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15019);
        mpfr_init(r15020);
        mpfr_init_set_str(r15021, "1", 10, MPFR_RNDN);
        mpfr_init(r15022);
        mpfr_init(r15023);
        mpfr_init(r15024);
        mpfr_init(r15025);
        mpfr_init(r15026);
        mpfr_init(r15027);
}

double f_fm(double x) {
        mpfr_set_d(r15019, x, MPFR_RNDN);
        mpfr_sin(r15020, r15019, MPFR_RNDN);
        ;
        mpfr_cos(r15022, r15019, MPFR_RNDN);
        mpfr_add(r15023, r15021, r15022, MPFR_RNDN);
        mpfr_sqrt(r15024, r15023, MPFR_RNDN);
        mpfr_div(r15025, r15020, r15024, MPFR_RNDN);
        mpfr_div(r15026, r15025, r15019, MPFR_RNDN);
        mpfr_sqr(r15027, r15026, MPFR_RNDN);
        return mpfr_get_d(r15027, MPFR_RNDN);
}

static mpfr_t r15028, r15029, r15030, r15031, r15032, r15033, r15034, r15035, r15036;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15028);
        mpfr_init(r15029);
        mpfr_init_set_str(r15030, "1", 10, MPFR_RNDN);
        mpfr_init(r15031);
        mpfr_init(r15032);
        mpfr_init(r15033);
        mpfr_init(r15034);
        mpfr_init(r15035);
        mpfr_init(r15036);
}

double f_dm(double x) {
        mpfr_set_d(r15028, x, MPFR_RNDN);
        mpfr_sin(r15029, r15028, MPFR_RNDN);
        ;
        mpfr_cos(r15031, r15028, MPFR_RNDN);
        mpfr_add(r15032, r15030, r15031, MPFR_RNDN);
        mpfr_sqrt(r15033, r15032, MPFR_RNDN);
        mpfr_div(r15034, r15029, r15033, MPFR_RNDN);
        mpfr_div(r15035, r15034, r15028, MPFR_RNDN);
        mpfr_sqr(r15036, r15035, MPFR_RNDN);
        return mpfr_get_d(r15036, MPFR_RNDN);
}