#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 r20912 = 1;
        float r20913 = x;
        float r20914 = cos(r20913);
        float r20915 = r20912 - r20914;
        float r20916 = r20913 * r20913;
        float r20917 = r20915 / r20916;
        return r20917;
}

double f_id(double x) {
        double r20918 = 1;
        double r20919 = x;
        double r20920 = cos(r20919);
        double r20921 = r20918 - r20920;
        double r20922 = r20919 * r20919;
        double r20923 = r20921 / r20922;
        return r20923;
}


double f_of(float x) {
        float r20924 = x;
        float r20925 = -0.013114498929173083;
        bool r20926 = r20924 <= r20925;
        float r20927 = sin(r20924);
        float r20928 = r20927 * r20927;
        float r20929 = r20928 / r20924;
        float r20930 = 1;
        float r20931 = cos(r20924);
        float r20932 = r20930 + r20931;
        float r20933 = r20930 / r20932;
        float r20934 = r20933 / r20924;
        float r20935 = r20929 * r20934;
        float r20936 = 0.010961042371102528;
        bool r20937 = r20924 <= r20936;
        float r20938 = 1/2;
        float r20939 = 1/720;
        float r20940 = 4;
        float r20941 = pow(r20924, r20940);
        float r20942 = r20939 * r20941;
        float r20943 = r20938 + r20942;
        float r20944 = 1/24;
        float r20945 = 2;
        float r20946 = pow(r20924, r20945);
        float r20947 = r20944 * r20946;
        float r20948 = r20943 - r20947;
        float r20949 = r20937 ? r20948 : r20935;
        float r20950 = r20926 ? r20935 : r20949;
        return r20950;
}

double f_od(double x) {
        double r20951 = x;
        double r20952 = -0.013114498929173083;
        bool r20953 = r20951 <= r20952;
        double r20954 = sin(r20951);
        double r20955 = r20954 * r20954;
        double r20956 = r20955 / r20951;
        double r20957 = 1;
        double r20958 = cos(r20951);
        double r20959 = r20957 + r20958;
        double r20960 = r20957 / r20959;
        double r20961 = r20960 / r20951;
        double r20962 = r20956 * r20961;
        double r20963 = 0.010961042371102528;
        bool r20964 = r20951 <= r20963;
        double r20965 = 1/2;
        double r20966 = 1/720;
        double r20967 = 4;
        double r20968 = pow(r20951, r20967);
        double r20969 = r20966 * r20968;
        double r20970 = r20965 + r20969;
        double r20971 = 1/24;
        double r20972 = 2;
        double r20973 = pow(r20951, r20972);
        double r20974 = r20971 * r20973;
        double r20975 = r20970 - r20974;
        double r20976 = r20964 ? r20975 : r20962;
        double r20977 = r20953 ? r20962 : r20976;
        return r20977;
}

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 r20978, r20979, r20980, r20981, r20982, r20983;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r20978, "1", 10, MPFR_RNDN);
        mpfr_init(r20979);
        mpfr_init(r20980);
        mpfr_init(r20981);
        mpfr_init(r20982);
        mpfr_init(r20983);
}

double f_im(double x) {
        ;
        mpfr_set_d(r20979, x, MPFR_RNDN);
        mpfr_cos(r20980, r20979, MPFR_RNDN);
        mpfr_sub(r20981, r20978, r20980, MPFR_RNDN);
        mpfr_mul(r20982, r20979, r20979, MPFR_RNDN);
        mpfr_div(r20983, r20981, r20982, MPFR_RNDN);
        return mpfr_get_d(r20983, MPFR_RNDN);
}

static mpfr_t r20984, r20985, r20986, r20987, r20988, r20989, r20990, r20991, r20992, r20993, r20994, r20995, r20996, r20997, r20998, r20999, r21000, r21001, r21002, r21003, r21004, r21005, r21006, r21007, r21008, r21009, r21010;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20984);
        mpfr_init_set_str(r20985, "-0.013114498929173083", 10, MPFR_RNDN);
        mpfr_init(r20986);
        mpfr_init(r20987);
        mpfr_init(r20988);
        mpfr_init(r20989);
        mpfr_init_set_str(r20990, "1", 10, MPFR_RNDN);
        mpfr_init(r20991);
        mpfr_init(r20992);
        mpfr_init(r20993);
        mpfr_init(r20994);
        mpfr_init(r20995);
        mpfr_init_set_str(r20996, "0.010961042371102528", 10, MPFR_RNDN);
        mpfr_init(r20997);
        mpfr_init_set_str(r20998, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r20999, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21000, "4", 10, MPFR_RNDN);
        mpfr_init(r21001);
        mpfr_init(r21002);
        mpfr_init(r21003);
        mpfr_init_set_str(r21004, "1/24", 10, MPFR_RNDN);
        mpfr_init_set_str(r21005, "2", 10, MPFR_RNDN);
        mpfr_init(r21006);
        mpfr_init(r21007);
        mpfr_init(r21008);
        mpfr_init(r21009);
        mpfr_init(r21010);
}

double f_fm(double x) {
        mpfr_set_d(r20984, x, MPFR_RNDN);
        ;
        mpfr_set_si(r20986, mpfr_cmp(r20984, r20985) <= 0, MPFR_RNDN);
        mpfr_sin(r20987, r20984, MPFR_RNDN);
        mpfr_mul(r20988, r20987, r20987, MPFR_RNDN);
        mpfr_div(r20989, r20988, r20984, MPFR_RNDN);
        ;
        mpfr_cos(r20991, r20984, MPFR_RNDN);
        mpfr_add(r20992, r20990, r20991, MPFR_RNDN);
        mpfr_div(r20993, r20990, r20992, MPFR_RNDN);
        mpfr_div(r20994, r20993, r20984, MPFR_RNDN);
        mpfr_mul(r20995, r20989, r20994, MPFR_RNDN);
        ;
        mpfr_set_si(r20997, mpfr_cmp(r20984, r20996) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21001, r20984, r21000, MPFR_RNDN);
        mpfr_mul(r21002, r20999, r21001, MPFR_RNDN);
        mpfr_add(r21003, r20998, r21002, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21006, r20984, r21005, MPFR_RNDN);
        mpfr_mul(r21007, r21004, r21006, MPFR_RNDN);
        mpfr_sub(r21008, r21003, r21007, MPFR_RNDN);
        if (mpfr_get_si(r20997, MPFR_RNDN)) { mpfr_set(r21009, r21008, MPFR_RNDN); } else { mpfr_set(r21009, r20995, MPFR_RNDN); };
        if (mpfr_get_si(r20986, MPFR_RNDN)) { mpfr_set(r21010, r20995, MPFR_RNDN); } else { mpfr_set(r21010, r21009, MPFR_RNDN); };
        return mpfr_get_d(r21010, MPFR_RNDN);
}

static mpfr_t r21011, r21012, r21013, r21014, r21015, r21016, r21017, r21018, r21019, r21020, r21021, r21022, r21023, r21024, r21025, r21026, r21027, r21028, r21029, r21030, r21031, r21032, r21033, r21034, r21035, r21036, r21037;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21011);
        mpfr_init_set_str(r21012, "-0.013114498929173083", 10, MPFR_RNDN);
        mpfr_init(r21013);
        mpfr_init(r21014);
        mpfr_init(r21015);
        mpfr_init(r21016);
        mpfr_init_set_str(r21017, "1", 10, MPFR_RNDN);
        mpfr_init(r21018);
        mpfr_init(r21019);
        mpfr_init(r21020);
        mpfr_init(r21021);
        mpfr_init(r21022);
        mpfr_init_set_str(r21023, "0.010961042371102528", 10, MPFR_RNDN);
        mpfr_init(r21024);
        mpfr_init_set_str(r21025, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21026, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21027, "4", 10, MPFR_RNDN);
        mpfr_init(r21028);
        mpfr_init(r21029);
        mpfr_init(r21030);
        mpfr_init_set_str(r21031, "1/24", 10, MPFR_RNDN);
        mpfr_init_set_str(r21032, "2", 10, MPFR_RNDN);
        mpfr_init(r21033);
        mpfr_init(r21034);
        mpfr_init(r21035);
        mpfr_init(r21036);
        mpfr_init(r21037);
}

double f_dm(double x) {
        mpfr_set_d(r21011, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21013, mpfr_cmp(r21011, r21012) <= 0, MPFR_RNDN);
        mpfr_sin(r21014, r21011, MPFR_RNDN);
        mpfr_mul(r21015, r21014, r21014, MPFR_RNDN);
        mpfr_div(r21016, r21015, r21011, MPFR_RNDN);
        ;
        mpfr_cos(r21018, r21011, MPFR_RNDN);
        mpfr_add(r21019, r21017, r21018, MPFR_RNDN);
        mpfr_div(r21020, r21017, r21019, MPFR_RNDN);
        mpfr_div(r21021, r21020, r21011, MPFR_RNDN);
        mpfr_mul(r21022, r21016, r21021, MPFR_RNDN);
        ;
        mpfr_set_si(r21024, mpfr_cmp(r21011, r21023) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21028, r21011, r21027, MPFR_RNDN);
        mpfr_mul(r21029, r21026, r21028, MPFR_RNDN);
        mpfr_add(r21030, r21025, r21029, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21033, r21011, r21032, MPFR_RNDN);
        mpfr_mul(r21034, r21031, r21033, MPFR_RNDN);
        mpfr_sub(r21035, r21030, r21034, MPFR_RNDN);
        if (mpfr_get_si(r21024, MPFR_RNDN)) { mpfr_set(r21036, r21035, MPFR_RNDN); } else { mpfr_set(r21036, r21022, MPFR_RNDN); };
        if (mpfr_get_si(r21013, MPFR_RNDN)) { mpfr_set(r21037, r21022, MPFR_RNDN); } else { mpfr_set(r21037, r21036, MPFR_RNDN); };
        return mpfr_get_d(r21037, MPFR_RNDN);
}