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

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r21033 = x;
        float r21034 = 1;
        float r21035 = r21033 + r21034;
        float r21036 = n;
        float r21037 = r21034 / r21036;
        float r21038 = pow(r21035, r21037);
        float r21039 = pow(r21033, r21037);
        float r21040 = r21038 - r21039;
        return r21040;
}

double f_id(double x, double n) {
        double r21041 = x;
        double r21042 = 1;
        double r21043 = r21041 + r21042;
        double r21044 = n;
        double r21045 = r21042 / r21044;
        double r21046 = pow(r21043, r21045);
        double r21047 = pow(r21041, r21045);
        double r21048 = r21046 - r21047;
        return r21048;
}


double f_of(float x, float n) {
        float r21049 = 1;
        float r21050 = x;
        float r21051 = n;
        float r21052 = r21050 * r21051;
        float r21053 = r21049 / r21052;
        float r21054 = r21053 + r21049;
        float r21055 = log(r21050);
        float r21056 = -r21055;
        float r21057 = r21056 / r21051;
        float r21058 = r21054 - r21057;
        float r21059 = r21049 / r21051;
        float r21060 = pow(r21050, r21059);
        float r21061 = r21058 - r21060;
        float r21062 = -165.82519293662233;
        bool r21063 = r21061 <= r21062;
        float r21064 = log1p(r21050);
        float r21065 = r21064 / r21051;
        float r21066 = exp(r21065);
        float r21067 = r21066 - r21060;
        float r21068 = 4.987314727866732e-10;
        bool r21069 = r21061 <= r21068;
        float r21070 = 1/2;
        float r21071 = r21070 / r21051;
        float r21072 = r21050 * r21050;
        float r21073 = r21071 / r21072;
        float r21074 = r21053 - r21073;
        float r21075 = r21051 * r21051;
        float r21076 = r21075 * r21050;
        float r21077 = log1p(r21076);
        float r21078 = log(r21077);
        float r21079 = exp(r21078);
        float r21080 = expm1(r21079);
        float r21081 = r21056 / r21080;
        float r21082 = r21074 - r21081;
        float r21083 = r21069 ? r21082 : r21067;
        float r21084 = r21063 ? r21067 : r21083;
        return r21084;
}

double f_od(double x, double n) {
        double r21085 = 1;
        double r21086 = x;
        double r21087 = n;
        double r21088 = r21086 * r21087;
        double r21089 = r21085 / r21088;
        double r21090 = r21089 + r21085;
        double r21091 = log(r21086);
        double r21092 = -r21091;
        double r21093 = r21092 / r21087;
        double r21094 = r21090 - r21093;
        double r21095 = r21085 / r21087;
        double r21096 = pow(r21086, r21095);
        double r21097 = r21094 - r21096;
        double r21098 = -165.82519293662233;
        bool r21099 = r21097 <= r21098;
        double r21100 = log1p(r21086);
        double r21101 = r21100 / r21087;
        double r21102 = exp(r21101);
        double r21103 = r21102 - r21096;
        double r21104 = 4.987314727866732e-10;
        bool r21105 = r21097 <= r21104;
        double r21106 = 1/2;
        double r21107 = r21106 / r21087;
        double r21108 = r21086 * r21086;
        double r21109 = r21107 / r21108;
        double r21110 = r21089 - r21109;
        double r21111 = r21087 * r21087;
        double r21112 = r21111 * r21086;
        double r21113 = log1p(r21112);
        double r21114 = log(r21113);
        double r21115 = exp(r21114);
        double r21116 = expm1(r21115);
        double r21117 = r21092 / r21116;
        double r21118 = r21110 - r21117;
        double r21119 = r21105 ? r21118 : r21103;
        double r21120 = r21099 ? r21103 : r21119;
        return r21120;
}

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 r21121, r21122, r21123, r21124, r21125, r21126, r21127, r21128;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21121);
        mpfr_init_set_str(r21122, "1", 10, MPFR_RNDN);
        mpfr_init(r21123);
        mpfr_init(r21124);
        mpfr_init(r21125);
        mpfr_init(r21126);
        mpfr_init(r21127);
        mpfr_init(r21128);
}

double f_im(double x, double n) {
        mpfr_set_d(r21121, x, MPFR_RNDN);
        ;
        mpfr_add(r21123, r21121, r21122, MPFR_RNDN);
        mpfr_set_d(r21124, n, MPFR_RNDN);
        mpfr_div(r21125, r21122, r21124, MPFR_RNDN);
        mpfr_pow(r21126, r21123, r21125, MPFR_RNDN);
        mpfr_pow(r21127, r21121, r21125, MPFR_RNDN);
        mpfr_sub(r21128, r21126, r21127, MPFR_RNDN);
        return mpfr_get_d(r21128, MPFR_RNDN);
}

static mpfr_t r21129, r21130, r21131, r21132, r21133, r21134, r21135, r21136, r21137, r21138, r21139, r21140, r21141, r21142, r21143, r21144, r21145, r21146, r21147, r21148, r21149, r21150, r21151, r21152, r21153, r21154, r21155, r21156, r21157, r21158, r21159, r21160, r21161, r21162, r21163, r21164;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21129, "1", 10, MPFR_RNDN);
        mpfr_init(r21130);
        mpfr_init(r21131);
        mpfr_init(r21132);
        mpfr_init(r21133);
        mpfr_init(r21134);
        mpfr_init(r21135);
        mpfr_init(r21136);
        mpfr_init(r21137);
        mpfr_init(r21138);
        mpfr_init(r21139);
        mpfr_init(r21140);
        mpfr_init(r21141);
        mpfr_init_set_str(r21142, "-165.82519293662233", 10, MPFR_RNDN);
        mpfr_init(r21143);
        mpfr_init(r21144);
        mpfr_init(r21145);
        mpfr_init(r21146);
        mpfr_init(r21147);
        mpfr_init_set_str(r21148, "4.987314727866732e-10", 10, MPFR_RNDN);
        mpfr_init(r21149);
        mpfr_init_set_str(r21150, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21151);
        mpfr_init(r21152);
        mpfr_init(r21153);
        mpfr_init(r21154);
        mpfr_init(r21155);
        mpfr_init(r21156);
        mpfr_init(r21157);
        mpfr_init(r21158);
        mpfr_init(r21159);
        mpfr_init(r21160);
        mpfr_init(r21161);
        mpfr_init(r21162);
        mpfr_init(r21163);
        mpfr_init(r21164);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r21130, x, MPFR_RNDN);
        mpfr_set_d(r21131, n, MPFR_RNDN);
        mpfr_mul(r21132, r21130, r21131, MPFR_RNDN);
        mpfr_div(r21133, r21129, r21132, MPFR_RNDN);
        mpfr_add(r21134, r21133, r21129, MPFR_RNDN);
        mpfr_log(r21135, r21130, MPFR_RNDN);
        mpfr_neg(r21136, r21135, MPFR_RNDN);
        mpfr_div(r21137, r21136, r21131, MPFR_RNDN);
        mpfr_sub(r21138, r21134, r21137, MPFR_RNDN);
        mpfr_div(r21139, r21129, r21131, MPFR_RNDN);
        mpfr_pow(r21140, r21130, r21139, MPFR_RNDN);
        mpfr_sub(r21141, r21138, r21140, MPFR_RNDN);
        ;
        mpfr_set_si(r21143, mpfr_cmp(r21141, r21142) <= 0, MPFR_RNDN);
        mpfr_log1p(r21144, r21130, MPFR_RNDN);
        mpfr_div(r21145, r21144, r21131, MPFR_RNDN);
        mpfr_exp(r21146, r21145, MPFR_RNDN);
        mpfr_sub(r21147, r21146, r21140, MPFR_RNDN);
        ;
        mpfr_set_si(r21149, mpfr_cmp(r21141, r21148) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21151, r21150, r21131, MPFR_RNDN);
        mpfr_mul(r21152, r21130, r21130, MPFR_RNDN);
        mpfr_div(r21153, r21151, r21152, MPFR_RNDN);
        mpfr_sub(r21154, r21133, r21153, MPFR_RNDN);
        mpfr_mul(r21155, r21131, r21131, MPFR_RNDN);
        mpfr_mul(r21156, r21155, r21130, MPFR_RNDN);
        mpfr_log1p(r21157, r21156, MPFR_RNDN);
        mpfr_log(r21158, r21157, MPFR_RNDN);
        mpfr_exp(r21159, r21158, MPFR_RNDN);
        mpfr_expm1(r21160, r21159, MPFR_RNDN);
        mpfr_div(r21161, r21136, r21160, MPFR_RNDN);
        mpfr_sub(r21162, r21154, r21161, MPFR_RNDN);
        if (mpfr_get_si(r21149, MPFR_RNDN)) { mpfr_set(r21163, r21162, MPFR_RNDN); } else { mpfr_set(r21163, r21147, MPFR_RNDN); };
        if (mpfr_get_si(r21143, MPFR_RNDN)) { mpfr_set(r21164, r21147, MPFR_RNDN); } else { mpfr_set(r21164, r21163, MPFR_RNDN); };
        return mpfr_get_d(r21164, MPFR_RNDN);
}

static mpfr_t r21165, r21166, r21167, r21168, r21169, r21170, r21171, r21172, r21173, r21174, r21175, r21176, r21177, r21178, r21179, r21180, r21181, r21182, r21183, r21184, r21185, r21186, r21187, r21188, r21189, r21190, r21191, r21192, r21193, r21194, r21195, r21196, r21197, r21198, r21199, r21200;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21165, "1", 10, MPFR_RNDN);
        mpfr_init(r21166);
        mpfr_init(r21167);
        mpfr_init(r21168);
        mpfr_init(r21169);
        mpfr_init(r21170);
        mpfr_init(r21171);
        mpfr_init(r21172);
        mpfr_init(r21173);
        mpfr_init(r21174);
        mpfr_init(r21175);
        mpfr_init(r21176);
        mpfr_init(r21177);
        mpfr_init_set_str(r21178, "-165.82519293662233", 10, MPFR_RNDN);
        mpfr_init(r21179);
        mpfr_init(r21180);
        mpfr_init(r21181);
        mpfr_init(r21182);
        mpfr_init(r21183);
        mpfr_init_set_str(r21184, "4.987314727866732e-10", 10, MPFR_RNDN);
        mpfr_init(r21185);
        mpfr_init_set_str(r21186, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21187);
        mpfr_init(r21188);
        mpfr_init(r21189);
        mpfr_init(r21190);
        mpfr_init(r21191);
        mpfr_init(r21192);
        mpfr_init(r21193);
        mpfr_init(r21194);
        mpfr_init(r21195);
        mpfr_init(r21196);
        mpfr_init(r21197);
        mpfr_init(r21198);
        mpfr_init(r21199);
        mpfr_init(r21200);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r21166, x, MPFR_RNDN);
        mpfr_set_d(r21167, n, MPFR_RNDN);
        mpfr_mul(r21168, r21166, r21167, MPFR_RNDN);
        mpfr_div(r21169, r21165, r21168, MPFR_RNDN);
        mpfr_add(r21170, r21169, r21165, MPFR_RNDN);
        mpfr_log(r21171, r21166, MPFR_RNDN);
        mpfr_neg(r21172, r21171, MPFR_RNDN);
        mpfr_div(r21173, r21172, r21167, MPFR_RNDN);
        mpfr_sub(r21174, r21170, r21173, MPFR_RNDN);
        mpfr_div(r21175, r21165, r21167, MPFR_RNDN);
        mpfr_pow(r21176, r21166, r21175, MPFR_RNDN);
        mpfr_sub(r21177, r21174, r21176, MPFR_RNDN);
        ;
        mpfr_set_si(r21179, mpfr_cmp(r21177, r21178) <= 0, MPFR_RNDN);
        mpfr_log1p(r21180, r21166, MPFR_RNDN);
        mpfr_div(r21181, r21180, r21167, MPFR_RNDN);
        mpfr_exp(r21182, r21181, MPFR_RNDN);
        mpfr_sub(r21183, r21182, r21176, MPFR_RNDN);
        ;
        mpfr_set_si(r21185, mpfr_cmp(r21177, r21184) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21187, r21186, r21167, MPFR_RNDN);
        mpfr_mul(r21188, r21166, r21166, MPFR_RNDN);
        mpfr_div(r21189, r21187, r21188, MPFR_RNDN);
        mpfr_sub(r21190, r21169, r21189, MPFR_RNDN);
        mpfr_mul(r21191, r21167, r21167, MPFR_RNDN);
        mpfr_mul(r21192, r21191, r21166, MPFR_RNDN);
        mpfr_log1p(r21193, r21192, MPFR_RNDN);
        mpfr_log(r21194, r21193, MPFR_RNDN);
        mpfr_exp(r21195, r21194, MPFR_RNDN);
        mpfr_expm1(r21196, r21195, MPFR_RNDN);
        mpfr_div(r21197, r21172, r21196, MPFR_RNDN);
        mpfr_sub(r21198, r21190, r21197, MPFR_RNDN);
        if (mpfr_get_si(r21185, MPFR_RNDN)) { mpfr_set(r21199, r21198, MPFR_RNDN); } else { mpfr_set(r21199, r21183, MPFR_RNDN); };
        if (mpfr_get_si(r21179, MPFR_RNDN)) { mpfr_set(r21200, r21183, MPFR_RNDN); } else { mpfr_set(r21200, r21199, MPFR_RNDN); };
        return mpfr_get_d(r21200, MPFR_RNDN);
}