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

char *name = "cos2 (problem 3.4.1)";

double f_if(float x) {
        float r21019 = 1;
        float r21020 = x;
        float r21021 = cos(r21020);
        float r21022 = r21019 - r21021;
        float r21023 = r21020 * r21020;
        float r21024 = r21022 / r21023;
        return r21024;
}

double f_id(double x) {
        double r21025 = 1;
        double r21026 = x;
        double r21027 = cos(r21026);
        double r21028 = r21025 - r21027;
        double r21029 = r21026 * r21026;
        double r21030 = r21028 / r21029;
        return r21030;
}


double f_of(float x) {
        float r21031 = x;
        float r21032 = sin(r21031);
        float r21033 = 1;
        float r21034 = cos(r21031);
        float r21035 = r21033 + r21034;
        float r21036 = sqrt(r21035);
        float r21037 = r21032 / r21036;
        float r21038 = r21037 / r21031;
        float r21039 = r21038 * r21038;
        return r21039;
}

double f_od(double x) {
        double r21040 = x;
        double r21041 = sin(r21040);
        double r21042 = 1;
        double r21043 = cos(r21040);
        double r21044 = r21042 + r21043;
        double r21045 = sqrt(r21044);
        double r21046 = r21041 / r21045;
        double r21047 = r21046 / r21040;
        double r21048 = r21047 * r21047;
        return r21048;
}

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 r21049, r21050, r21051, r21052, r21053, r21054;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r21049, "1", 10, MPFR_RNDN);
        mpfr_init(r21050);
        mpfr_init(r21051);
        mpfr_init(r21052);
        mpfr_init(r21053);
        mpfr_init(r21054);
}

double f_im(double x) {
        ;
        mpfr_set_d(r21050, x, MPFR_RNDN);
        mpfr_cos(r21051, r21050, MPFR_RNDN);
        mpfr_sub(r21052, r21049, r21051, MPFR_RNDN);
        mpfr_mul(r21053, r21050, r21050, MPFR_RNDN);
        mpfr_div(r21054, r21052, r21053, MPFR_RNDN);
        return mpfr_get_d(r21054, MPFR_RNDN);
}

static mpfr_t r21055, r21056, r21057, r21058, r21059, r21060, r21061, r21062, r21063;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21055);
        mpfr_init(r21056);
        mpfr_init_set_str(r21057, "1", 10, MPFR_RNDN);
        mpfr_init(r21058);
        mpfr_init(r21059);
        mpfr_init(r21060);
        mpfr_init(r21061);
        mpfr_init(r21062);
        mpfr_init(r21063);
}

double f_fm(double x) {
        mpfr_set_d(r21055, x, MPFR_RNDN);
        mpfr_sin(r21056, r21055, MPFR_RNDN);
        ;
        mpfr_cos(r21058, r21055, MPFR_RNDN);
        mpfr_add(r21059, r21057, r21058, MPFR_RNDN);
        mpfr_sqrt(r21060, r21059, MPFR_RNDN);
        mpfr_div(r21061, r21056, r21060, MPFR_RNDN);
        mpfr_div(r21062, r21061, r21055, MPFR_RNDN);
        mpfr_mul(r21063, r21062, r21062, MPFR_RNDN);
        return mpfr_get_d(r21063, MPFR_RNDN);
}

static mpfr_t r21064, r21065, r21066, r21067, r21068, r21069, r21070, r21071, r21072;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21064);
        mpfr_init(r21065);
        mpfr_init_set_str(r21066, "1", 10, MPFR_RNDN);
        mpfr_init(r21067);
        mpfr_init(r21068);
        mpfr_init(r21069);
        mpfr_init(r21070);
        mpfr_init(r21071);
        mpfr_init(r21072);
}

double f_dm(double x) {
        mpfr_set_d(r21064, x, MPFR_RNDN);
        mpfr_sin(r21065, r21064, MPFR_RNDN);
        ;
        mpfr_cos(r21067, r21064, MPFR_RNDN);
        mpfr_add(r21068, r21066, r21067, MPFR_RNDN);
        mpfr_sqrt(r21069, r21068, MPFR_RNDN);
        mpfr_div(r21070, r21065, r21069, MPFR_RNDN);
        mpfr_div(r21071, r21070, r21064, MPFR_RNDN);
        mpfr_mul(r21072, r21071, r21071, MPFR_RNDN);
        return mpfr_get_d(r21072, MPFR_RNDN);
}