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

char *name = "2cos (problem 3.3.5)";

double f_if(float x, float eps) {
        float r23102 = x;
        float r23103 = eps;
        float r23104 = r23102 + r23103;
        float r23105 = cos(r23104);
        float r23106 = cos(r23102);
        float r23107 = r23105 - r23106;
        return r23107;
}

double f_id(double x, double eps) {
        double r23108 = x;
        double r23109 = eps;
        double r23110 = r23108 + r23109;
        double r23111 = cos(r23110);
        double r23112 = cos(r23108);
        double r23113 = r23111 - r23112;
        return r23113;
}


double f_of(float x, float eps) {
        float r23114 = x;
        float r23115 = cos(r23114);
        float r23116 = eps;
        float r23117 = cos(r23116);
        float r23118 = r23115 * r23117;
        float r23119 = sin(r23114);
        float r23120 = sin(r23116);
        float r23121 = r23119 * r23120;
        float r23122 = r23118 - r23121;
        float r23123 = r23122 - r23115;
        float r23124 = -0.0008029608808188815;
        bool r23125 = r23123 <= r23124;
        float r23126 = r23121 + r23115;
        float r23127 = r23118 - r23126;
        float r23128 = 0.004151945467847487;
        bool r23129 = r23123 <= r23128;
        float r23130 = -2;
        float r23131 = 2;
        float r23132 = r23116 / r23131;
        float r23133 = sin(r23132);
        float r23134 = r23116 + r23114;
        float r23135 = r23114 + r23134;
        float r23136 = r23135 / r23131;
        float r23137 = sin(r23136);
        float r23138 = r23133 * r23137;
        float r23139 = r23130 * r23138;
        float r23140 = r23129 ? r23139 : r23123;
        float r23141 = r23125 ? r23127 : r23140;
        return r23141;
}

double f_od(double x, double eps) {
        double r23142 = x;
        double r23143 = cos(r23142);
        double r23144 = eps;
        double r23145 = cos(r23144);
        double r23146 = r23143 * r23145;
        double r23147 = sin(r23142);
        double r23148 = sin(r23144);
        double r23149 = r23147 * r23148;
        double r23150 = r23146 - r23149;
        double r23151 = r23150 - r23143;
        double r23152 = -0.0008029608808188815;
        bool r23153 = r23151 <= r23152;
        double r23154 = r23149 + r23143;
        double r23155 = r23146 - r23154;
        double r23156 = 0.004151945467847487;
        bool r23157 = r23151 <= r23156;
        double r23158 = -2;
        double r23159 = 2;
        double r23160 = r23144 / r23159;
        double r23161 = sin(r23160);
        double r23162 = r23144 + r23142;
        double r23163 = r23142 + r23162;
        double r23164 = r23163 / r23159;
        double r23165 = sin(r23164);
        double r23166 = r23161 * r23165;
        double r23167 = r23158 * r23166;
        double r23168 = r23157 ? r23167 : r23151;
        double r23169 = r23153 ? r23155 : r23168;
        return r23169;
}

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 r23170, r23171, r23172, r23173, r23174, r23175;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
}

double f_im(double x, double eps) {
        mpfr_set_d(r23170, x, MPFR_RNDN);
        mpfr_set_d(r23171, eps, MPFR_RNDN);
        mpfr_add(r23172, r23170, r23171, MPFR_RNDN);
        mpfr_cos(r23173, r23172, MPFR_RNDN);
        mpfr_cos(r23174, r23170, MPFR_RNDN);
        mpfr_sub(r23175, r23173, r23174, MPFR_RNDN);
        return mpfr_get_d(r23175, MPFR_RNDN);
}

static mpfr_t r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init_set_str(r23186, "-0.0008029608808188815", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "0.004151945467847487", 10, MPFR_RNDN);
        mpfr_init(r23191);
        mpfr_init_set_str(r23192, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23193, "2", 10, MPFR_RNDN);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r23176, x, MPFR_RNDN);
        mpfr_cos(r23177, r23176, MPFR_RNDN);
        mpfr_set_d(r23178, eps, MPFR_RNDN);
        mpfr_cos(r23179, r23178, MPFR_RNDN);
        mpfr_mul(r23180, r23177, r23179, MPFR_RNDN);
        mpfr_sin(r23181, r23176, MPFR_RNDN);
        mpfr_sin(r23182, r23178, MPFR_RNDN);
        mpfr_mul(r23183, r23181, r23182, MPFR_RNDN);
        mpfr_sub(r23184, r23180, r23183, MPFR_RNDN);
        mpfr_sub(r23185, r23184, r23177, MPFR_RNDN);
        ;
        mpfr_set_si(r23187, mpfr_cmp(r23185, r23186) <= 0, MPFR_RNDN);
        mpfr_add(r23188, r23183, r23177, MPFR_RNDN);
        mpfr_sub(r23189, r23180, r23188, MPFR_RNDN);
        ;
        mpfr_set_si(r23191, mpfr_cmp(r23185, r23190) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23194, r23178, r23193, MPFR_RNDN);
        mpfr_sin(r23195, r23194, MPFR_RNDN);
        mpfr_add(r23196, r23178, r23176, MPFR_RNDN);
        mpfr_add(r23197, r23176, r23196, MPFR_RNDN);
        mpfr_div(r23198, r23197, r23193, MPFR_RNDN);
        mpfr_sin(r23199, r23198, MPFR_RNDN);
        mpfr_mul(r23200, r23195, r23199, MPFR_RNDN);
        mpfr_mul(r23201, r23192, r23200, MPFR_RNDN);
        if (mpfr_get_si(r23191, MPFR_RNDN)) { mpfr_set(r23202, r23201, MPFR_RNDN); } else { mpfr_set(r23202, r23185, MPFR_RNDN); };
        if (mpfr_get_si(r23187, MPFR_RNDN)) { mpfr_set(r23203, r23189, MPFR_RNDN); } else { mpfr_set(r23203, r23202, MPFR_RNDN); };
        return mpfr_get_d(r23203, MPFR_RNDN);
}

static mpfr_t r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229, r23230, r23231;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init_set_str(r23214, "-0.0008029608808188815", 10, MPFR_RNDN);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
        mpfr_init_set_str(r23218, "0.004151945467847487", 10, MPFR_RNDN);
        mpfr_init(r23219);
        mpfr_init_set_str(r23220, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23221, "2", 10, MPFR_RNDN);
        mpfr_init(r23222);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r23204, x, MPFR_RNDN);
        mpfr_cos(r23205, r23204, MPFR_RNDN);
        mpfr_set_d(r23206, eps, MPFR_RNDN);
        mpfr_cos(r23207, r23206, MPFR_RNDN);
        mpfr_mul(r23208, r23205, r23207, MPFR_RNDN);
        mpfr_sin(r23209, r23204, MPFR_RNDN);
        mpfr_sin(r23210, r23206, MPFR_RNDN);
        mpfr_mul(r23211, r23209, r23210, MPFR_RNDN);
        mpfr_sub(r23212, r23208, r23211, MPFR_RNDN);
        mpfr_sub(r23213, r23212, r23205, MPFR_RNDN);
        ;
        mpfr_set_si(r23215, mpfr_cmp(r23213, r23214) <= 0, MPFR_RNDN);
        mpfr_add(r23216, r23211, r23205, MPFR_RNDN);
        mpfr_sub(r23217, r23208, r23216, MPFR_RNDN);
        ;
        mpfr_set_si(r23219, mpfr_cmp(r23213, r23218) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23222, r23206, r23221, MPFR_RNDN);
        mpfr_sin(r23223, r23222, MPFR_RNDN);
        mpfr_add(r23224, r23206, r23204, MPFR_RNDN);
        mpfr_add(r23225, r23204, r23224, MPFR_RNDN);
        mpfr_div(r23226, r23225, r23221, MPFR_RNDN);
        mpfr_sin(r23227, r23226, MPFR_RNDN);
        mpfr_mul(r23228, r23223, r23227, MPFR_RNDN);
        mpfr_mul(r23229, r23220, r23228, MPFR_RNDN);
        if (mpfr_get_si(r23219, MPFR_RNDN)) { mpfr_set(r23230, r23229, MPFR_RNDN); } else { mpfr_set(r23230, r23213, MPFR_RNDN); };
        if (mpfr_get_si(r23215, MPFR_RNDN)) { mpfr_set(r23231, r23217, MPFR_RNDN); } else { mpfr_set(r23231, r23230, MPFR_RNDN); };
        return mpfr_get_d(r23231, MPFR_RNDN);
}