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

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r20993 = 1;
        float r20994 = 2;
        float r20995 = r20993 / r20994;
        float r20996 = l;
        float r20997 = r20994 * r20996;
        float r20998 = Om;
        float r20999 = r20997 / r20998;
        float r21000 = pow(r20999, r20994);
        float r21001 = kx;
        float r21002 = sin(r21001);
        float r21003 = pow(r21002, r20994);
        float r21004 = ky;
        float r21005 = sin(r21004);
        float r21006 = pow(r21005, r20994);
        float r21007 = r21003 + r21006;
        float r21008 = r21000 * r21007;
        float r21009 = r20993 + r21008;
        float r21010 = sqrt(r21009);
        float r21011 = r20993 / r21010;
        float r21012 = r20993 + r21011;
        float r21013 = r20995 * r21012;
        float r21014 = sqrt(r21013);
        return r21014;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21015 = 1;
        double r21016 = 2;
        double r21017 = r21015 / r21016;
        double r21018 = l;
        double r21019 = r21016 * r21018;
        double r21020 = Om;
        double r21021 = r21019 / r21020;
        double r21022 = pow(r21021, r21016);
        double r21023 = kx;
        double r21024 = sin(r21023);
        double r21025 = pow(r21024, r21016);
        double r21026 = ky;
        double r21027 = sin(r21026);
        double r21028 = pow(r21027, r21016);
        double r21029 = r21025 + r21028;
        double r21030 = r21022 * r21029;
        double r21031 = r21015 + r21030;
        double r21032 = sqrt(r21031);
        double r21033 = r21015 / r21032;
        double r21034 = r21015 + r21033;
        double r21035 = r21017 * r21034;
        double r21036 = sqrt(r21035);
        return r21036;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21037 = 1;
        float r21038 = 2;
        float r21039 = r21037 / r21038;
        float r21040 = l;
        float r21041 = r21038 * r21040;
        float r21042 = Om;
        float r21043 = r21041 / r21042;
        float r21044 = cbrt(r21043);
        float r21045 = r21044 * r21044;
        float r21046 = pow(r21045, r21038);
        float r21047 = pow(r21044, r21038);
        float r21048 = kx;
        float r21049 = sin(r21048);
        float r21050 = pow(r21049, r21038);
        float r21051 = ky;
        float r21052 = sin(r21051);
        float r21053 = pow(r21052, r21038);
        float r21054 = r21050 + r21053;
        float r21055 = r21047 * r21054;
        float r21056 = r21046 * r21055;
        float r21057 = r21037 + r21056;
        float r21058 = sqrt(r21057);
        float r21059 = r21037 / r21058;
        float r21060 = r21037 + r21059;
        float r21061 = r21039 * r21060;
        float r21062 = sqrt(r21061);
        return r21062;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21063 = 1;
        double r21064 = 2;
        double r21065 = r21063 / r21064;
        double r21066 = l;
        double r21067 = r21064 * r21066;
        double r21068 = Om;
        double r21069 = r21067 / r21068;
        double r21070 = cbrt(r21069);
        double r21071 = r21070 * r21070;
        double r21072 = pow(r21071, r21064);
        double r21073 = pow(r21070, r21064);
        double r21074 = kx;
        double r21075 = sin(r21074);
        double r21076 = pow(r21075, r21064);
        double r21077 = ky;
        double r21078 = sin(r21077);
        double r21079 = pow(r21078, r21064);
        double r21080 = r21076 + r21079;
        double r21081 = r21073 * r21080;
        double r21082 = r21072 * r21081;
        double r21083 = r21063 + r21082;
        double r21084 = sqrt(r21083);
        double r21085 = r21063 / r21084;
        double r21086 = r21063 + r21085;
        double r21087 = r21065 * r21086;
        double r21088 = sqrt(r21087);
        return r21088;
}

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 r21089, r21090, r21091, r21092, r21093, r21094, r21095, r21096, r21097, r21098, r21099, r21100, r21101, r21102, r21103, r21104, r21105, r21106, r21107, r21108, r21109, r21110;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21089, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21090, "2", 10, MPFR_RNDN);
        mpfr_init(r21091);
        mpfr_init(r21092);
        mpfr_init(r21093);
        mpfr_init(r21094);
        mpfr_init(r21095);
        mpfr_init(r21096);
        mpfr_init(r21097);
        mpfr_init(r21098);
        mpfr_init(r21099);
        mpfr_init(r21100);
        mpfr_init(r21101);
        mpfr_init(r21102);
        mpfr_init(r21103);
        mpfr_init(r21104);
        mpfr_init(r21105);
        mpfr_init(r21106);
        mpfr_init(r21107);
        mpfr_init(r21108);
        mpfr_init(r21109);
        mpfr_init(r21110);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21091, r21089, r21090, MPFR_RNDN);
        mpfr_set_d(r21092, l, MPFR_RNDN);
        mpfr_mul(r21093, r21090, r21092, MPFR_RNDN);
        mpfr_set_d(r21094, Om, MPFR_RNDN);
        mpfr_div(r21095, r21093, r21094, MPFR_RNDN);
        mpfr_pow(r21096, r21095, r21090, MPFR_RNDN);
        mpfr_set_d(r21097, kx, MPFR_RNDN);
        mpfr_sin(r21098, r21097, MPFR_RNDN);
        mpfr_pow(r21099, r21098, r21090, MPFR_RNDN);
        mpfr_set_d(r21100, ky, MPFR_RNDN);
        mpfr_sin(r21101, r21100, MPFR_RNDN);
        mpfr_pow(r21102, r21101, r21090, MPFR_RNDN);
        mpfr_add(r21103, r21099, r21102, MPFR_RNDN);
        mpfr_mul(r21104, r21096, r21103, MPFR_RNDN);
        mpfr_add(r21105, r21089, r21104, MPFR_RNDN);
        mpfr_sqrt(r21106, r21105, MPFR_RNDN);
        mpfr_div(r21107, r21089, r21106, MPFR_RNDN);
        mpfr_add(r21108, r21089, r21107, MPFR_RNDN);
        mpfr_mul(r21109, r21091, r21108, MPFR_RNDN);
        mpfr_sqrt(r21110, r21109, MPFR_RNDN);
        return mpfr_get_d(r21110, MPFR_RNDN);
}

static mpfr_t r21111, r21112, r21113, r21114, r21115, r21116, r21117, r21118, r21119, r21120, r21121, r21122, r21123, r21124, r21125, r21126, r21127, r21128, r21129, r21130, r21131, r21132, r21133, r21134, r21135, r21136;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21111, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21112, "2", 10, MPFR_RNDN);
        mpfr_init(r21113);
        mpfr_init(r21114);
        mpfr_init(r21115);
        mpfr_init(r21116);
        mpfr_init(r21117);
        mpfr_init(r21118);
        mpfr_init(r21119);
        mpfr_init(r21120);
        mpfr_init(r21121);
        mpfr_init(r21122);
        mpfr_init(r21123);
        mpfr_init(r21124);
        mpfr_init(r21125);
        mpfr_init(r21126);
        mpfr_init(r21127);
        mpfr_init(r21128);
        mpfr_init(r21129);
        mpfr_init(r21130);
        mpfr_init(r21131);
        mpfr_init(r21132);
        mpfr_init(r21133);
        mpfr_init(r21134);
        mpfr_init(r21135);
        mpfr_init(r21136);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21113, r21111, r21112, MPFR_RNDN);
        mpfr_set_d(r21114, l, MPFR_RNDN);
        mpfr_mul(r21115, r21112, r21114, MPFR_RNDN);
        mpfr_set_d(r21116, Om, MPFR_RNDN);
        mpfr_div(r21117, r21115, r21116, MPFR_RNDN);
        mpfr_cbrt(r21118, r21117, MPFR_RNDN);
        mpfr_mul(r21119, r21118, r21118, MPFR_RNDN);
        mpfr_pow(r21120, r21119, r21112, MPFR_RNDN);
        mpfr_pow(r21121, r21118, r21112, MPFR_RNDN);
        mpfr_set_d(r21122, kx, MPFR_RNDN);
        mpfr_sin(r21123, r21122, MPFR_RNDN);
        mpfr_pow(r21124, r21123, r21112, MPFR_RNDN);
        mpfr_set_d(r21125, ky, MPFR_RNDN);
        mpfr_sin(r21126, r21125, MPFR_RNDN);
        mpfr_pow(r21127, r21126, r21112, MPFR_RNDN);
        mpfr_add(r21128, r21124, r21127, MPFR_RNDN);
        mpfr_mul(r21129, r21121, r21128, MPFR_RNDN);
        mpfr_mul(r21130, r21120, r21129, MPFR_RNDN);
        mpfr_add(r21131, r21111, r21130, MPFR_RNDN);
        mpfr_sqrt(r21132, r21131, MPFR_RNDN);
        mpfr_div(r21133, r21111, r21132, MPFR_RNDN);
        mpfr_add(r21134, r21111, r21133, MPFR_RNDN);
        mpfr_mul(r21135, r21113, r21134, MPFR_RNDN);
        mpfr_sqrt(r21136, r21135, MPFR_RNDN);
        return mpfr_get_d(r21136, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21137, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21138, "2", 10, MPFR_RNDN);
        mpfr_init(r21139);
        mpfr_init(r21140);
        mpfr_init(r21141);
        mpfr_init(r21142);
        mpfr_init(r21143);
        mpfr_init(r21144);
        mpfr_init(r21145);
        mpfr_init(r21146);
        mpfr_init(r21147);
        mpfr_init(r21148);
        mpfr_init(r21149);
        mpfr_init(r21150);
        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);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21139, r21137, r21138, MPFR_RNDN);
        mpfr_set_d(r21140, l, MPFR_RNDN);
        mpfr_mul(r21141, r21138, r21140, MPFR_RNDN);
        mpfr_set_d(r21142, Om, MPFR_RNDN);
        mpfr_div(r21143, r21141, r21142, MPFR_RNDN);
        mpfr_cbrt(r21144, r21143, MPFR_RNDN);
        mpfr_mul(r21145, r21144, r21144, MPFR_RNDN);
        mpfr_pow(r21146, r21145, r21138, MPFR_RNDN);
        mpfr_pow(r21147, r21144, r21138, MPFR_RNDN);
        mpfr_set_d(r21148, kx, MPFR_RNDN);
        mpfr_sin(r21149, r21148, MPFR_RNDN);
        mpfr_pow(r21150, r21149, r21138, MPFR_RNDN);
        mpfr_set_d(r21151, ky, MPFR_RNDN);
        mpfr_sin(r21152, r21151, MPFR_RNDN);
        mpfr_pow(r21153, r21152, r21138, MPFR_RNDN);
        mpfr_add(r21154, r21150, r21153, MPFR_RNDN);
        mpfr_mul(r21155, r21147, r21154, MPFR_RNDN);
        mpfr_mul(r21156, r21146, r21155, MPFR_RNDN);
        mpfr_add(r21157, r21137, r21156, MPFR_RNDN);
        mpfr_sqrt(r21158, r21157, MPFR_RNDN);
        mpfr_div(r21159, r21137, r21158, MPFR_RNDN);
        mpfr_add(r21160, r21137, r21159, MPFR_RNDN);
        mpfr_mul(r21161, r21139, r21160, MPFR_RNDN);
        mpfr_sqrt(r21162, r21161, MPFR_RNDN);
        return mpfr_get_d(r21162, MPFR_RNDN);
}