#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 r20118 = 1;
        float r20119 = x;
        float r20120 = cos(r20119);
        float r20121 = r20118 - r20120;
        float r20122 = r20119 * r20119;
        float r20123 = r20121 / r20122;
        return r20123;
}

double f_id(double x) {
        double r20124 = 1;
        double r20125 = x;
        double r20126 = cos(r20125);
        double r20127 = r20124 - r20126;
        double r20128 = r20125 * r20125;
        double r20129 = r20127 / r20128;
        return r20129;
}


double f_of(float x) {
        float r20130 = x;
        float r20131 = -0.03708810949404283;
        bool r20132 = r20130 <= r20131;
        float r20133 = 1;
        float r20134 = r20133 / r20130;
        float r20135 = cos(r20130);
        float r20136 = r20133 - r20135;
        float r20137 = r20136 / r20130;
        float r20138 = r20134 * r20137;
        float r20139 = 0.030096595528128572;
        bool r20140 = r20130 <= r20139;
        float r20141 = 1/2;
        float r20142 = 1/720;
        float r20143 = 4;
        float r20144 = pow(r20130, r20143);
        float r20145 = r20142 * r20144;
        float r20146 = r20141 + r20145;
        float r20147 = 1/24;
        float r20148 = 2;
        float r20149 = pow(r20130, r20148);
        float r20150 = r20147 * r20149;
        float r20151 = r20146 - r20150;
        float r20152 = r20140 ? r20151 : r20138;
        float r20153 = r20132 ? r20138 : r20152;
        return r20153;
}

double f_od(double x) {
        double r20154 = x;
        double r20155 = -0.03708810949404283;
        bool r20156 = r20154 <= r20155;
        double r20157 = 1;
        double r20158 = r20157 / r20154;
        double r20159 = cos(r20154);
        double r20160 = r20157 - r20159;
        double r20161 = r20160 / r20154;
        double r20162 = r20158 * r20161;
        double r20163 = 0.030096595528128572;
        bool r20164 = r20154 <= r20163;
        double r20165 = 1/2;
        double r20166 = 1/720;
        double r20167 = 4;
        double r20168 = pow(r20154, r20167);
        double r20169 = r20166 * r20168;
        double r20170 = r20165 + r20169;
        double r20171 = 1/24;
        double r20172 = 2;
        double r20173 = pow(r20154, r20172);
        double r20174 = r20171 * r20173;
        double r20175 = r20170 - r20174;
        double r20176 = r20164 ? r20175 : r20162;
        double r20177 = r20156 ? r20162 : r20176;
        return r20177;
}

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 r20178, r20179, r20180, r20181, r20182, r20183;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r20178, "1", 10, MPFR_RNDN);
        mpfr_init(r20179);
        mpfr_init(r20180);
        mpfr_init(r20181);
        mpfr_init(r20182);
        mpfr_init(r20183);
}

double f_im(double x) {
        ;
        mpfr_set_d(r20179, x, MPFR_RNDN);
        mpfr_cos(r20180, r20179, MPFR_RNDN);
        mpfr_sub(r20181, r20178, r20180, MPFR_RNDN);
        mpfr_mul(r20182, r20179, r20179, MPFR_RNDN);
        mpfr_div(r20183, r20181, r20182, MPFR_RNDN);
        return mpfr_get_d(r20183, MPFR_RNDN);
}

static mpfr_t r20184, r20185, r20186, r20187, r20188, r20189, r20190, r20191, r20192, r20193, r20194, r20195, r20196, r20197, r20198, r20199, r20200, r20201, r20202, r20203, r20204, r20205, r20206, r20207;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20184);
        mpfr_init_set_str(r20185, "-0.03708810949404283", 10, MPFR_RNDN);
        mpfr_init(r20186);
        mpfr_init_set_str(r20187, "1", 10, MPFR_RNDN);
        mpfr_init(r20188);
        mpfr_init(r20189);
        mpfr_init(r20190);
        mpfr_init(r20191);
        mpfr_init(r20192);
        mpfr_init_set_str(r20193, "0.030096595528128572", 10, MPFR_RNDN);
        mpfr_init(r20194);
        mpfr_init_set_str(r20195, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r20196, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r20197, "4", 10, MPFR_RNDN);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init(r20200);
        mpfr_init_set_str(r20201, "1/24", 10, MPFR_RNDN);
        mpfr_init_set_str(r20202, "2", 10, MPFR_RNDN);
        mpfr_init(r20203);
        mpfr_init(r20204);
        mpfr_init(r20205);
        mpfr_init(r20206);
        mpfr_init(r20207);
}

double f_fm(double x) {
        mpfr_set_d(r20184, x, MPFR_RNDN);
        ;
        mpfr_set_si(r20186, mpfr_cmp(r20184, r20185) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r20188, r20187, r20184, MPFR_RNDN);
        mpfr_cos(r20189, r20184, MPFR_RNDN);
        mpfr_sub(r20190, r20187, r20189, MPFR_RNDN);
        mpfr_div(r20191, r20190, r20184, MPFR_RNDN);
        mpfr_mul(r20192, r20188, r20191, MPFR_RNDN);
        ;
        mpfr_set_si(r20194, mpfr_cmp(r20184, r20193) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r20198, r20184, r20197, MPFR_RNDN);
        mpfr_mul(r20199, r20196, r20198, MPFR_RNDN);
        mpfr_add(r20200, r20195, r20199, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r20203, r20184, r20202, MPFR_RNDN);
        mpfr_mul(r20204, r20201, r20203, MPFR_RNDN);
        mpfr_sub(r20205, r20200, r20204, MPFR_RNDN);
        if (mpfr_get_si(r20194, MPFR_RNDN)) { mpfr_set(r20206, r20205, MPFR_RNDN); } else { mpfr_set(r20206, r20192, MPFR_RNDN); };
        if (mpfr_get_si(r20186, MPFR_RNDN)) { mpfr_set(r20207, r20192, MPFR_RNDN); } else { mpfr_set(r20207, r20206, MPFR_RNDN); };
        return mpfr_get_d(r20207, MPFR_RNDN);
}

static mpfr_t r20208, r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216, r20217, r20218, r20219, r20220, r20221, r20222, r20223, r20224, r20225, r20226, r20227, r20228, r20229, r20230, r20231;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r20208);
        mpfr_init_set_str(r20209, "-0.03708810949404283", 10, MPFR_RNDN);
        mpfr_init(r20210);
        mpfr_init_set_str(r20211, "1", 10, MPFR_RNDN);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init(r20216);
        mpfr_init_set_str(r20217, "0.030096595528128572", 10, MPFR_RNDN);
        mpfr_init(r20218);
        mpfr_init_set_str(r20219, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r20220, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r20221, "4", 10, MPFR_RNDN);
        mpfr_init(r20222);
        mpfr_init(r20223);
        mpfr_init(r20224);
        mpfr_init_set_str(r20225, "1/24", 10, MPFR_RNDN);
        mpfr_init_set_str(r20226, "2", 10, MPFR_RNDN);
        mpfr_init(r20227);
        mpfr_init(r20228);
        mpfr_init(r20229);
        mpfr_init(r20230);
        mpfr_init(r20231);
}

double f_dm(double x) {
        mpfr_set_d(r20208, x, MPFR_RNDN);
        ;
        mpfr_set_si(r20210, mpfr_cmp(r20208, r20209) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r20212, r20211, r20208, MPFR_RNDN);
        mpfr_cos(r20213, r20208, MPFR_RNDN);
        mpfr_sub(r20214, r20211, r20213, MPFR_RNDN);
        mpfr_div(r20215, r20214, r20208, MPFR_RNDN);
        mpfr_mul(r20216, r20212, r20215, MPFR_RNDN);
        ;
        mpfr_set_si(r20218, mpfr_cmp(r20208, r20217) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r20222, r20208, r20221, MPFR_RNDN);
        mpfr_mul(r20223, r20220, r20222, MPFR_RNDN);
        mpfr_add(r20224, r20219, r20223, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r20227, r20208, r20226, MPFR_RNDN);
        mpfr_mul(r20228, r20225, r20227, MPFR_RNDN);
        mpfr_sub(r20229, r20224, r20228, MPFR_RNDN);
        if (mpfr_get_si(r20218, MPFR_RNDN)) { mpfr_set(r20230, r20229, MPFR_RNDN); } else { mpfr_set(r20230, r20216, MPFR_RNDN); };
        if (mpfr_get_si(r20210, MPFR_RNDN)) { mpfr_set(r20231, r20216, MPFR_RNDN); } else { mpfr_set(r20231, r20230, MPFR_RNDN); };
        return mpfr_get_d(r20231, MPFR_RNDN);
}