#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 r14971 = 1.0f;
        float r14972 = x;
        float r14973 = cos(r14972);
        float r14974 = r14971 - r14973;
        float r14975 = r14972 * r14972;
        float r14976 = r14974 / r14975;
        return r14976;
}

double f_id(double x) {
        double r14977 = 1.0;
        double r14978 = x;
        double r14979 = cos(r14978);
        double r14980 = r14977 - r14979;
        double r14981 = r14978 * r14978;
        double r14982 = r14980 / r14981;
        return r14982;
}


double f_of(float x) {
        float r14983 = x;
        float r14984 = sin(r14983);
        float r14985 = 1.0f;
        float r14986 = cos(r14983);
        float r14987 = r14985 + r14986;
        float r14988 = sqrt(r14987);
        float r14989 = r14984 / r14988;
        float r14990 = r14989 / r14983;
        float r14991 = r14990 * r14990;
        return r14991;
}

double f_od(double x) {
        double r14992 = x;
        double r14993 = sin(r14992);
        double r14994 = 1.0;
        double r14995 = cos(r14992);
        double r14996 = r14994 + r14995;
        double r14997 = sqrt(r14996);
        double r14998 = r14993 / r14997;
        double r14999 = r14998 / r14992;
        double r15000 = r14999 * r14999;
        return r15000;
}

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 r15001, r15002, r15003, r15004, r15005, r15006;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15001, "1", 10, MPFR_RNDN);
        mpfr_init(r15002);
        mpfr_init(r15003);
        mpfr_init(r15004);
        mpfr_init(r15005);
        mpfr_init(r15006);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15002, x, MPFR_RNDN);
        mpfr_cos(r15003, r15002, MPFR_RNDN);
        mpfr_sub(r15004, r15001, r15003, MPFR_RNDN);
        mpfr_sqr(r15005, r15002, MPFR_RNDN);
        mpfr_div(r15006, r15004, r15005, MPFR_RNDN);
        return mpfr_get_d(r15006, MPFR_RNDN);
}

static mpfr_t r15007, r15008, r15009, r15010, r15011, r15012, r15013, r15014, r15015;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15007);
        mpfr_init(r15008);
        mpfr_init_set_str(r15009, "1", 10, MPFR_RNDN);
        mpfr_init(r15010);
        mpfr_init(r15011);
        mpfr_init(r15012);
        mpfr_init(r15013);
        mpfr_init(r15014);
        mpfr_init(r15015);
}

double f_fm(double x) {
        mpfr_set_d(r15007, x, MPFR_RNDN);
        mpfr_sin(r15008, r15007, MPFR_RNDN);
        ;
        mpfr_cos(r15010, r15007, MPFR_RNDN);
        mpfr_add(r15011, r15009, r15010, MPFR_RNDN);
        mpfr_sqrt(r15012, r15011, MPFR_RNDN);
        mpfr_div(r15013, r15008, r15012, MPFR_RNDN);
        mpfr_div(r15014, r15013, r15007, MPFR_RNDN);
        mpfr_sqr(r15015, r15014, MPFR_RNDN);
        return mpfr_get_d(r15015, MPFR_RNDN);
}

static mpfr_t r15016, r15017, r15018, r15019, r15020, r15021, r15022, r15023, r15024;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15016);
        mpfr_init(r15017);
        mpfr_init_set_str(r15018, "1", 10, MPFR_RNDN);
        mpfr_init(r15019);
        mpfr_init(r15020);
        mpfr_init(r15021);
        mpfr_init(r15022);
        mpfr_init(r15023);
        mpfr_init(r15024);
}

double f_dm(double x) {
        mpfr_set_d(r15016, x, MPFR_RNDN);
        mpfr_sin(r15017, r15016, MPFR_RNDN);
        ;
        mpfr_cos(r15019, r15016, MPFR_RNDN);
        mpfr_add(r15020, r15018, r15019, MPFR_RNDN);
        mpfr_sqrt(r15021, r15020, MPFR_RNDN);
        mpfr_div(r15022, r15017, r15021, MPFR_RNDN);
        mpfr_div(r15023, r15022, r15016, MPFR_RNDN);
        mpfr_sqr(r15024, r15023, MPFR_RNDN);
        return mpfr_get_d(r15024, MPFR_RNDN);
}