#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 r23078 = x;
        float r23079 = eps;
        float r23080 = r23078 + r23079;
        float r23081 = cos(r23080);
        float r23082 = cos(r23078);
        float r23083 = r23081 - r23082;
        return r23083;
}

double f_id(double x, double eps) {
        double r23084 = x;
        double r23085 = eps;
        double r23086 = r23084 + r23085;
        double r23087 = cos(r23086);
        double r23088 = cos(r23084);
        double r23089 = r23087 - r23088;
        return r23089;
}


double f_of(float x, float eps) {
        float r23090 = x;
        float r23091 = cos(r23090);
        float r23092 = eps;
        float r23093 = cos(r23092);
        float r23094 = r23091 * r23093;
        float r23095 = sin(r23092);
        float r23096 = sin(r23090);
        float r23097 = fma(r23095, r23096, r23091);
        float r23098 = r23094 - r23097;
        float r23099 = -0.0008948929048405718;
        bool r23100 = r23098 <= r23099;
        float r23101 = 0.004151945467847435;
        bool r23102 = r23098 <= r23101;
        float r23103 = -2;
        float r23104 = 2;
        float r23105 = r23092 / r23104;
        float r23106 = sin(r23105);
        float r23107 = r23092 + r23090;
        float r23108 = r23090 + r23107;
        float r23109 = r23108 / r23104;
        float r23110 = sin(r23109);
        float r23111 = log1p(r23110);
        float r23112 = expm1(r23111);
        float r23113 = r23106 * r23112;
        float r23114 = r23103 * r23113;
        float r23115 = r23102 ? r23114 : r23098;
        float r23116 = r23100 ? r23098 : r23115;
        return r23116;
}

double f_od(double x, double eps) {
        double r23117 = x;
        double r23118 = cos(r23117);
        double r23119 = eps;
        double r23120 = cos(r23119);
        double r23121 = r23118 * r23120;
        double r23122 = sin(r23119);
        double r23123 = sin(r23117);
        double r23124 = fma(r23122, r23123, r23118);
        double r23125 = r23121 - r23124;
        double r23126 = -0.0008948929048405718;
        bool r23127 = r23125 <= r23126;
        double r23128 = 0.004151945467847435;
        bool r23129 = r23125 <= r23128;
        double r23130 = -2;
        double r23131 = 2;
        double r23132 = r23119 / r23131;
        double r23133 = sin(r23132);
        double r23134 = r23119 + r23117;
        double r23135 = r23117 + r23134;
        double r23136 = r23135 / r23131;
        double r23137 = sin(r23136);
        double r23138 = log1p(r23137);
        double r23139 = expm1(r23138);
        double r23140 = r23133 * r23139;
        double r23141 = r23130 * r23140;
        double r23142 = r23129 ? r23141 : r23125;
        double r23143 = r23127 ? r23125 : r23142;
        return r23143;
}

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 r23144, r23145, r23146, r23147, r23148, r23149;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
}

double f_im(double x, double eps) {
        mpfr_set_d(r23144, x, MPFR_RNDN);
        mpfr_set_d(r23145, eps, MPFR_RNDN);
        mpfr_add(r23146, r23144, r23145, MPFR_RNDN);
        mpfr_cos(r23147, r23146, MPFR_RNDN);
        mpfr_cos(r23148, r23144, MPFR_RNDN);
        mpfr_sub(r23149, r23147, r23148, MPFR_RNDN);
        return mpfr_get_d(r23149, MPFR_RNDN);
}

static mpfr_t r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init_set_str(r23159, "-0.0008948929048405718", 10, MPFR_RNDN);
        mpfr_init(r23160);
        mpfr_init_set_str(r23161, "0.004151945467847435", 10, MPFR_RNDN);
        mpfr_init(r23162);
        mpfr_init_set_str(r23163, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23164, "2", 10, MPFR_RNDN);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r23150, x, MPFR_RNDN);
        mpfr_cos(r23151, r23150, MPFR_RNDN);
        mpfr_set_d(r23152, eps, MPFR_RNDN);
        mpfr_cos(r23153, r23152, MPFR_RNDN);
        mpfr_mul(r23154, r23151, r23153, MPFR_RNDN);
        mpfr_sin(r23155, r23152, MPFR_RNDN);
        mpfr_sin(r23156, r23150, MPFR_RNDN);
        mpfr_fma(r23157, r23155, r23156, r23151, MPFR_RNDN);
        mpfr_sub(r23158, r23154, r23157, MPFR_RNDN);
        ;
        mpfr_set_si(r23160, mpfr_cmp(r23158, r23159) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23162, mpfr_cmp(r23158, r23161) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23165, r23152, r23164, MPFR_RNDN);
        mpfr_sin(r23166, r23165, MPFR_RNDN);
        mpfr_add(r23167, r23152, r23150, MPFR_RNDN);
        mpfr_add(r23168, r23150, r23167, MPFR_RNDN);
        mpfr_div(r23169, r23168, r23164, MPFR_RNDN);
        mpfr_sin(r23170, r23169, MPFR_RNDN);
        mpfr_log1p(r23171, r23170, MPFR_RNDN);
        mpfr_expm1(r23172, r23171, MPFR_RNDN);
        mpfr_mul(r23173, r23166, r23172, MPFR_RNDN);
        mpfr_mul(r23174, r23163, r23173, MPFR_RNDN);
        if (mpfr_get_si(r23162, MPFR_RNDN)) { mpfr_set(r23175, r23174, MPFR_RNDN); } else { mpfr_set(r23175, r23158, MPFR_RNDN); };
        if (mpfr_get_si(r23160, MPFR_RNDN)) { mpfr_set(r23176, r23158, MPFR_RNDN); } else { mpfr_set(r23176, r23175, MPFR_RNDN); };
        return mpfr_get_d(r23176, MPFR_RNDN);
}

static mpfr_t 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_dm() {
        mpfr_set_default_prec(2448);
        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, "-0.0008948929048405718", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init_set_str(r23188, "0.004151945467847435", 10, MPFR_RNDN);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23191, "2", 10, MPFR_RNDN);
        mpfr_init(r23192);
        mpfr_init(r23193);
        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_dm(double x, double eps) {
        mpfr_set_d(r23177, x, MPFR_RNDN);
        mpfr_cos(r23178, r23177, MPFR_RNDN);
        mpfr_set_d(r23179, eps, MPFR_RNDN);
        mpfr_cos(r23180, r23179, MPFR_RNDN);
        mpfr_mul(r23181, r23178, r23180, MPFR_RNDN);
        mpfr_sin(r23182, r23179, MPFR_RNDN);
        mpfr_sin(r23183, r23177, MPFR_RNDN);
        mpfr_fma(r23184, r23182, r23183, r23178, MPFR_RNDN);
        mpfr_sub(r23185, r23181, r23184, MPFR_RNDN);
        ;
        mpfr_set_si(r23187, mpfr_cmp(r23185, r23186) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23189, mpfr_cmp(r23185, r23188) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23192, r23179, r23191, MPFR_RNDN);
        mpfr_sin(r23193, r23192, MPFR_RNDN);
        mpfr_add(r23194, r23179, r23177, MPFR_RNDN);
        mpfr_add(r23195, r23177, r23194, MPFR_RNDN);
        mpfr_div(r23196, r23195, r23191, MPFR_RNDN);
        mpfr_sin(r23197, r23196, MPFR_RNDN);
        mpfr_log1p(r23198, r23197, MPFR_RNDN);
        mpfr_expm1(r23199, r23198, MPFR_RNDN);
        mpfr_mul(r23200, r23193, r23199, MPFR_RNDN);
        mpfr_mul(r23201, r23190, r23200, MPFR_RNDN);
        if (mpfr_get_si(r23189, 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, r23185, MPFR_RNDN); } else { mpfr_set(r23203, r23202, MPFR_RNDN); };
        return mpfr_get_d(r23203, MPFR_RNDN);
}